diff options
Diffstat (limited to 'thirdparty/openssl/crypto/ec')
27 files changed, 0 insertions, 32284 deletions
diff --git a/thirdparty/openssl/crypto/ec/ec2_mult.c b/thirdparty/openssl/crypto/ec/ec2_mult.c deleted file mode 100644 index 1f9cc00aea..0000000000 --- a/thirdparty/openssl/crypto/ec/ec2_mult.c +++ /dev/null @@ -1,465 +0,0 @@ -/* crypto/ec/ec2_mult.c */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * - * The Elliptic Curve Public-Key Crypto Library (ECC Code) included - * herein is developed by SUN MICROSYSTEMS, INC., and is contributed - * to the OpenSSL project. - * - * The ECC Code is licensed pursuant to the OpenSSL open source - * license provided below. - * - * The software is originally written by Sheueling Chang Shantz and - * Douglas Stebila of Sun Microsystems Laboratories. - * - */ -/* ==================================================================== - * Copyright (c) 1998-2003 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ - -#include <openssl/err.h> - -#include "ec_lcl.h" - -#ifndef OPENSSL_NO_EC2M - -/*- - * Compute the x-coordinate x/z for the point 2*(x/z) in Montgomery projective - * coordinates. - * Uses algorithm Mdouble in appendix of - * Lopez, J. and Dahab, R. "Fast multiplication on elliptic curves over - * GF(2^m) without precomputation" (CHES '99, LNCS 1717). - * modified to not require precomputation of c=b^{2^{m-1}}. - */ -static int gf2m_Mdouble(const EC_GROUP *group, BIGNUM *x, BIGNUM *z, - BN_CTX *ctx) -{ - BIGNUM *t1; - int ret = 0; - - /* Since Mdouble is static we can guarantee that ctx != NULL. */ - BN_CTX_start(ctx); - t1 = BN_CTX_get(ctx); - if (t1 == NULL) - goto err; - - if (!group->meth->field_sqr(group, x, x, ctx)) - goto err; - if (!group->meth->field_sqr(group, t1, z, ctx)) - goto err; - if (!group->meth->field_mul(group, z, x, t1, ctx)) - goto err; - if (!group->meth->field_sqr(group, x, x, ctx)) - goto err; - if (!group->meth->field_sqr(group, t1, t1, ctx)) - goto err; - if (!group->meth->field_mul(group, t1, &group->b, t1, ctx)) - goto err; - if (!BN_GF2m_add(x, x, t1)) - goto err; - - ret = 1; - - err: - BN_CTX_end(ctx); - return ret; -} - -/*- - * Compute the x-coordinate x1/z1 for the point (x1/z1)+(x2/x2) in Montgomery - * projective coordinates. - * Uses algorithm Madd in appendix of - * Lopez, J. and Dahab, R. "Fast multiplication on elliptic curves over - * GF(2^m) without precomputation" (CHES '99, LNCS 1717). - */ -static int gf2m_Madd(const EC_GROUP *group, const BIGNUM *x, BIGNUM *x1, - BIGNUM *z1, const BIGNUM *x2, const BIGNUM *z2, - BN_CTX *ctx) -{ - BIGNUM *t1, *t2; - int ret = 0; - - /* Since Madd is static we can guarantee that ctx != NULL. */ - BN_CTX_start(ctx); - t1 = BN_CTX_get(ctx); - t2 = BN_CTX_get(ctx); - if (t2 == NULL) - goto err; - - if (!BN_copy(t1, x)) - goto err; - if (!group->meth->field_mul(group, x1, x1, z2, ctx)) - goto err; - if (!group->meth->field_mul(group, z1, z1, x2, ctx)) - goto err; - if (!group->meth->field_mul(group, t2, x1, z1, ctx)) - goto err; - if (!BN_GF2m_add(z1, z1, x1)) - goto err; - if (!group->meth->field_sqr(group, z1, z1, ctx)) - goto err; - if (!group->meth->field_mul(group, x1, z1, t1, ctx)) - goto err; - if (!BN_GF2m_add(x1, x1, t2)) - goto err; - - ret = 1; - - err: - BN_CTX_end(ctx); - return ret; -} - -/*- - * Compute the x, y affine coordinates from the point (x1, z1) (x2, z2) - * using Montgomery point multiplication algorithm Mxy() in appendix of - * Lopez, J. and Dahab, R. "Fast multiplication on elliptic curves over - * GF(2^m) without precomputation" (CHES '99, LNCS 1717). - * Returns: - * 0 on error - * 1 if return value should be the point at infinity - * 2 otherwise - */ -static int gf2m_Mxy(const EC_GROUP *group, const BIGNUM *x, const BIGNUM *y, - BIGNUM *x1, BIGNUM *z1, BIGNUM *x2, BIGNUM *z2, - BN_CTX *ctx) -{ - BIGNUM *t3, *t4, *t5; - int ret = 0; - - if (BN_is_zero(z1)) { - BN_zero(x2); - BN_zero(z2); - return 1; - } - - if (BN_is_zero(z2)) { - if (!BN_copy(x2, x)) - return 0; - if (!BN_GF2m_add(z2, x, y)) - return 0; - return 2; - } - - /* Since Mxy is static we can guarantee that ctx != NULL. */ - BN_CTX_start(ctx); - t3 = BN_CTX_get(ctx); - t4 = BN_CTX_get(ctx); - t5 = BN_CTX_get(ctx); - if (t5 == NULL) - goto err; - - if (!BN_one(t5)) - goto err; - - if (!group->meth->field_mul(group, t3, z1, z2, ctx)) - goto err; - - if (!group->meth->field_mul(group, z1, z1, x, ctx)) - goto err; - if (!BN_GF2m_add(z1, z1, x1)) - goto err; - if (!group->meth->field_mul(group, z2, z2, x, ctx)) - goto err; - if (!group->meth->field_mul(group, x1, z2, x1, ctx)) - goto err; - if (!BN_GF2m_add(z2, z2, x2)) - goto err; - - if (!group->meth->field_mul(group, z2, z2, z1, ctx)) - goto err; - if (!group->meth->field_sqr(group, t4, x, ctx)) - goto err; - if (!BN_GF2m_add(t4, t4, y)) - goto err; - if (!group->meth->field_mul(group, t4, t4, t3, ctx)) - goto err; - if (!BN_GF2m_add(t4, t4, z2)) - goto err; - - if (!group->meth->field_mul(group, t3, t3, x, ctx)) - goto err; - if (!group->meth->field_div(group, t3, t5, t3, ctx)) - goto err; - if (!group->meth->field_mul(group, t4, t3, t4, ctx)) - goto err; - if (!group->meth->field_mul(group, x2, x1, t3, ctx)) - goto err; - if (!BN_GF2m_add(z2, x2, x)) - goto err; - - if (!group->meth->field_mul(group, z2, z2, t4, ctx)) - goto err; - if (!BN_GF2m_add(z2, z2, y)) - goto err; - - ret = 2; - - err: - BN_CTX_end(ctx); - return ret; -} - -/*- - * Computes scalar*point and stores the result in r. - * point can not equal r. - * Uses a modified algorithm 2P of - * Lopez, J. and Dahab, R. "Fast multiplication on elliptic curves over - * GF(2^m) without precomputation" (CHES '99, LNCS 1717). - * - * To protect against side-channel attack the function uses constant time swap, - * avoiding conditional branches. - */ -static int ec_GF2m_montgomery_point_multiply(const EC_GROUP *group, - EC_POINT *r, - const BIGNUM *scalar, - const EC_POINT *point, - BN_CTX *ctx) -{ - BIGNUM *x1, *x2, *z1, *z2; - int ret = 0, i, group_top; - BN_ULONG mask, word; - - if (r == point) { - ECerr(EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY, EC_R_INVALID_ARGUMENT); - return 0; - } - - /* if result should be point at infinity */ - if ((scalar == NULL) || BN_is_zero(scalar) || (point == NULL) || - EC_POINT_is_at_infinity(group, point)) { - return EC_POINT_set_to_infinity(group, r); - } - - /* only support affine coordinates */ - if (!point->Z_is_one) - return 0; - - /* - * Since point_multiply is static we can guarantee that ctx != NULL. - */ - BN_CTX_start(ctx); - x1 = BN_CTX_get(ctx); - z1 = BN_CTX_get(ctx); - if (z1 == NULL) - goto err; - - x2 = &r->X; - z2 = &r->Y; - - group_top = group->field.top; - if (bn_wexpand(x1, group_top) == NULL - || bn_wexpand(z1, group_top) == NULL - || bn_wexpand(x2, group_top) == NULL - || bn_wexpand(z2, group_top) == NULL) - goto err; - - if (!BN_GF2m_mod_arr(x1, &point->X, group->poly)) - goto err; /* x1 = x */ - if (!BN_one(z1)) - goto err; /* z1 = 1 */ - if (!group->meth->field_sqr(group, z2, x1, ctx)) - goto err; /* z2 = x1^2 = x^2 */ - if (!group->meth->field_sqr(group, x2, z2, ctx)) - goto err; - if (!BN_GF2m_add(x2, x2, &group->b)) - goto err; /* x2 = x^4 + b */ - - /* find top most bit and go one past it */ - i = scalar->top - 1; - mask = BN_TBIT; - word = scalar->d[i]; - while (!(word & mask)) - mask >>= 1; - mask >>= 1; - /* if top most bit was at word break, go to next word */ - if (!mask) { - i--; - mask = BN_TBIT; - } - - for (; i >= 0; i--) { - word = scalar->d[i]; - while (mask) { - BN_consttime_swap(word & mask, x1, x2, group_top); - BN_consttime_swap(word & mask, z1, z2, group_top); - if (!gf2m_Madd(group, &point->X, x2, z2, x1, z1, ctx)) - goto err; - if (!gf2m_Mdouble(group, x1, z1, ctx)) - goto err; - BN_consttime_swap(word & mask, x1, x2, group_top); - BN_consttime_swap(word & mask, z1, z2, group_top); - mask >>= 1; - } - mask = BN_TBIT; - } - - /* convert out of "projective" coordinates */ - i = gf2m_Mxy(group, &point->X, &point->Y, x1, z1, x2, z2, ctx); - if (i == 0) - goto err; - else if (i == 1) { - if (!EC_POINT_set_to_infinity(group, r)) - goto err; - } else { - if (!BN_one(&r->Z)) - goto err; - r->Z_is_one = 1; - } - - /* GF(2^m) field elements should always have BIGNUM::neg = 0 */ - BN_set_negative(&r->X, 0); - BN_set_negative(&r->Y, 0); - - ret = 1; - - err: - BN_CTX_end(ctx); - return ret; -} - -/*- - * Computes the sum - * scalar*group->generator + scalars[0]*points[0] + ... + scalars[num-1]*points[num-1] - * gracefully ignoring NULL scalar values. - */ -int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, - const BIGNUM *scalar, size_t num, - const EC_POINT *points[], const BIGNUM *scalars[], - BN_CTX *ctx) -{ - BN_CTX *new_ctx = NULL; - int ret = 0; - size_t i; - EC_POINT *p = NULL; - EC_POINT *acc = NULL; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - /* - * This implementation is more efficient than the wNAF implementation for - * 2 or fewer points. Use the ec_wNAF_mul implementation for 3 or more - * points, or if we can perform a fast multiplication based on - * precomputation. - */ - if ((scalar && (num > 1)) || (num > 2) - || (num == 0 && EC_GROUP_have_precompute_mult(group))) { - ret = ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx); - goto err; - } - - if ((p = EC_POINT_new(group)) == NULL) - goto err; - if ((acc = EC_POINT_new(group)) == NULL) - goto err; - - if (!EC_POINT_set_to_infinity(group, acc)) - goto err; - - if (scalar) { - if (!ec_GF2m_montgomery_point_multiply - (group, p, scalar, group->generator, ctx)) - goto err; - if (BN_is_negative(scalar)) - if (!group->meth->invert(group, p, ctx)) - goto err; - if (!group->meth->add(group, acc, acc, p, ctx)) - goto err; - } - - for (i = 0; i < num; i++) { - if (!ec_GF2m_montgomery_point_multiply - (group, p, scalars[i], points[i], ctx)) - goto err; - if (BN_is_negative(scalars[i])) - if (!group->meth->invert(group, p, ctx)) - goto err; - if (!group->meth->add(group, acc, acc, p, ctx)) - goto err; - } - - if (!EC_POINT_copy(r, acc)) - goto err; - - ret = 1; - - err: - if (p) - EC_POINT_free(p); - if (acc) - EC_POINT_free(acc); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -/* - * Precomputation for point multiplication: fall back to wNAF methods because - * ec_GF2m_simple_mul() uses ec_wNAF_mul() if appropriate - */ - -int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx) -{ - return ec_wNAF_precompute_mult(group, ctx); -} - -int ec_GF2m_have_precompute_mult(const EC_GROUP *group) -{ - return ec_wNAF_have_precompute_mult(group); -} - -#endif diff --git a/thirdparty/openssl/crypto/ec/ec2_oct.c b/thirdparty/openssl/crypto/ec/ec2_oct.c deleted file mode 100644 index 0d04cc6923..0000000000 --- a/thirdparty/openssl/crypto/ec/ec2_oct.c +++ /dev/null @@ -1,403 +0,0 @@ -/* crypto/ec/ec2_oct.c */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * - * The Elliptic Curve Public-Key Crypto Library (ECC Code) included - * herein is developed by SUN MICROSYSTEMS, INC., and is contributed - * to the OpenSSL project. - * - * The ECC Code is licensed pursuant to the OpenSSL open source - * license provided below. - * - * The software is originally written by Sheueling Chang Shantz and - * Douglas Stebila of Sun Microsystems Laboratories. - * - */ -/* ==================================================================== - * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ - -#include <openssl/err.h> - -#include "ec_lcl.h" - -#ifndef OPENSSL_NO_EC2M - -/*- - * Calculates and sets the affine coordinates of an EC_POINT from the given - * compressed coordinates. Uses algorithm 2.3.4 of SEC 1. - * Note that the simple implementation only uses affine coordinates. - * - * The method is from the following publication: - * - * Harper, Menezes, Vanstone: - * "Public-Key Cryptosystems with Very Small Key Lengths", - * EUROCRYPT '92, Springer-Verlag LNCS 658, - * published February 1993 - * - * US Patents 6,141,420 and 6,618,483 (Vanstone, Mullin, Agnew) describe - * the same method, but claim no priority date earlier than July 29, 1994 - * (and additionally fail to cite the EUROCRYPT '92 publication as prior art). - */ -int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *group, - EC_POINT *point, - const BIGNUM *x_, int y_bit, - BN_CTX *ctx) -{ - BN_CTX *new_ctx = NULL; - BIGNUM *tmp, *x, *y, *z; - int ret = 0, z0; - - /* clear error queue */ - ERR_clear_error(); - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - y_bit = (y_bit != 0) ? 1 : 0; - - BN_CTX_start(ctx); - tmp = BN_CTX_get(ctx); - x = BN_CTX_get(ctx); - y = BN_CTX_get(ctx); - z = BN_CTX_get(ctx); - if (z == NULL) - goto err; - - if (!BN_GF2m_mod_arr(x, x_, group->poly)) - goto err; - if (BN_is_zero(x)) { - if (!BN_GF2m_mod_sqrt_arr(y, &group->b, group->poly, ctx)) - goto err; - } else { - if (!group->meth->field_sqr(group, tmp, x, ctx)) - goto err; - if (!group->meth->field_div(group, tmp, &group->b, tmp, ctx)) - goto err; - if (!BN_GF2m_add(tmp, &group->a, tmp)) - goto err; - if (!BN_GF2m_add(tmp, x, tmp)) - goto err; - if (!BN_GF2m_mod_solve_quad_arr(z, tmp, group->poly, ctx)) { - unsigned long err = ERR_peek_last_error(); - - if (ERR_GET_LIB(err) == ERR_LIB_BN - && ERR_GET_REASON(err) == BN_R_NO_SOLUTION) { - ERR_clear_error(); - ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, - EC_R_INVALID_COMPRESSED_POINT); - } else - ECerr(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES, - ERR_R_BN_LIB); - goto err; - } - z0 = (BN_is_odd(z)) ? 1 : 0; - if (!group->meth->field_mul(group, y, x, z, ctx)) - goto err; - if (z0 != y_bit) { - if (!BN_GF2m_add(y, y, x)) - goto err; - } - } - - if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) - goto err; - - ret = 1; - - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -/* - * Converts an EC_POINT to an octet string. If buf is NULL, the encoded - * length will be returned. If the length len of buf is smaller than required - * an error will be returned. - */ -size_t ec_GF2m_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, - point_conversion_form_t form, - unsigned char *buf, size_t len, BN_CTX *ctx) -{ - size_t ret; - BN_CTX *new_ctx = NULL; - int used_ctx = 0; - BIGNUM *x, *y, *yxi; - size_t field_len, i, skip; - - if ((form != POINT_CONVERSION_COMPRESSED) - && (form != POINT_CONVERSION_UNCOMPRESSED) - && (form != POINT_CONVERSION_HYBRID)) { - ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_INVALID_FORM); - goto err; - } - - if (EC_POINT_is_at_infinity(group, point)) { - /* encodes to a single 0 octet */ - if (buf != NULL) { - if (len < 1) { - ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); - return 0; - } - buf[0] = 0; - } - return 1; - } - - /* ret := required output buffer length */ - field_len = (EC_GROUP_get_degree(group) + 7) / 8; - ret = - (form == - POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len; - - /* if 'buf' is NULL, just return required length */ - if (buf != NULL) { - if (len < ret) { - ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); - goto err; - } - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - BN_CTX_start(ctx); - used_ctx = 1; - x = BN_CTX_get(ctx); - y = BN_CTX_get(ctx); - yxi = BN_CTX_get(ctx); - if (yxi == NULL) - goto err; - - if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) - goto err; - - buf[0] = form; - if ((form != POINT_CONVERSION_UNCOMPRESSED) && !BN_is_zero(x)) { - if (!group->meth->field_div(group, yxi, y, x, ctx)) - goto err; - if (BN_is_odd(yxi)) - buf[0]++; - } - - i = 1; - - skip = field_len - BN_num_bytes(x); - if (skip > field_len) { - ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); - goto err; - } - while (skip > 0) { - buf[i++] = 0; - skip--; - } - skip = BN_bn2bin(x, buf + i); - i += skip; - if (i != 1 + field_len) { - ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); - goto err; - } - - if (form == POINT_CONVERSION_UNCOMPRESSED - || form == POINT_CONVERSION_HYBRID) { - skip = field_len - BN_num_bytes(y); - if (skip > field_len) { - ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); - goto err; - } - while (skip > 0) { - buf[i++] = 0; - skip--; - } - skip = BN_bn2bin(y, buf + i); - i += skip; - } - - if (i != ret) { - ECerr(EC_F_EC_GF2M_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); - goto err; - } - } - - if (used_ctx) - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; - - err: - if (used_ctx) - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return 0; -} - -/* - * Converts an octet string representation to an EC_POINT. Note that the - * simple implementation only uses affine coordinates. - */ -int ec_GF2m_simple_oct2point(const EC_GROUP *group, EC_POINT *point, - const unsigned char *buf, size_t len, - BN_CTX *ctx) -{ - point_conversion_form_t form; - int y_bit; - BN_CTX *new_ctx = NULL; - BIGNUM *x, *y, *yxi; - size_t field_len, enc_len; - int ret = 0; - - if (len == 0) { - ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL); - return 0; - } - form = buf[0]; - y_bit = form & 1; - form = form & ~1U; - if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED) - && (form != POINT_CONVERSION_UNCOMPRESSED) - && (form != POINT_CONVERSION_HYBRID)) { - ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - return 0; - } - if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) { - ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - return 0; - } - - if (form == 0) { - if (len != 1) { - ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - return 0; - } - - return EC_POINT_set_to_infinity(group, point); - } - - field_len = (EC_GROUP_get_degree(group) + 7) / 8; - enc_len = - (form == - POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len; - - if (len != enc_len) { - ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - return 0; - } - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - BN_CTX_start(ctx); - x = BN_CTX_get(ctx); - y = BN_CTX_get(ctx); - yxi = BN_CTX_get(ctx); - if (yxi == NULL) - goto err; - - if (!BN_bin2bn(buf + 1, field_len, x)) - goto err; - if (BN_ucmp(x, &group->field) >= 0) { - ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - goto err; - } - - if (form == POINT_CONVERSION_COMPRESSED) { - if (!EC_POINT_set_compressed_coordinates_GF2m - (group, point, x, y_bit, ctx)) - goto err; - } else { - if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) - goto err; - if (BN_ucmp(y, &group->field) >= 0) { - ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - goto err; - } - if (form == POINT_CONVERSION_HYBRID) { - if (!group->meth->field_div(group, yxi, y, x, ctx)) - goto err; - if (y_bit != BN_is_odd(yxi)) { - ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - goto err; - } - } - - if (!EC_POINT_set_affine_coordinates_GF2m(group, point, x, y, ctx)) - goto err; - } - - /* test required by X9.62 */ - if (EC_POINT_is_on_curve(group, point, ctx) <= 0) { - ECerr(EC_F_EC_GF2M_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE); - goto err; - } - - ret = 1; - - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} -#endif diff --git a/thirdparty/openssl/crypto/ec/ec2_smpl.c b/thirdparty/openssl/crypto/ec/ec2_smpl.c deleted file mode 100644 index 5b27b91fcc..0000000000 --- a/thirdparty/openssl/crypto/ec/ec2_smpl.c +++ /dev/null @@ -1,798 +0,0 @@ -/* crypto/ec/ec2_smpl.c */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * - * The Elliptic Curve Public-Key Crypto Library (ECC Code) included - * herein is developed by SUN MICROSYSTEMS, INC., and is contributed - * to the OpenSSL project. - * - * The ECC Code is licensed pursuant to the OpenSSL open source - * license provided below. - * - * The software is originally written by Sheueling Chang Shantz and - * Douglas Stebila of Sun Microsystems Laboratories. - * - */ -/* ==================================================================== - * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ - -#include <openssl/err.h> - -#include "ec_lcl.h" - -#ifndef OPENSSL_NO_EC2M - -# ifdef OPENSSL_FIPS -# include <openssl/fips.h> -# endif - -const EC_METHOD *EC_GF2m_simple_method(void) -{ - static const EC_METHOD ret = { - EC_FLAGS_DEFAULT_OCT, - NID_X9_62_characteristic_two_field, - ec_GF2m_simple_group_init, - ec_GF2m_simple_group_finish, - ec_GF2m_simple_group_clear_finish, - ec_GF2m_simple_group_copy, - ec_GF2m_simple_group_set_curve, - ec_GF2m_simple_group_get_curve, - ec_GF2m_simple_group_get_degree, - ec_GF2m_simple_group_check_discriminant, - ec_GF2m_simple_point_init, - ec_GF2m_simple_point_finish, - ec_GF2m_simple_point_clear_finish, - ec_GF2m_simple_point_copy, - ec_GF2m_simple_point_set_to_infinity, - 0 /* set_Jprojective_coordinates_GFp */ , - 0 /* get_Jprojective_coordinates_GFp */ , - ec_GF2m_simple_point_set_affine_coordinates, - ec_GF2m_simple_point_get_affine_coordinates, - 0, 0, 0, - ec_GF2m_simple_add, - ec_GF2m_simple_dbl, - ec_GF2m_simple_invert, - ec_GF2m_simple_is_at_infinity, - ec_GF2m_simple_is_on_curve, - ec_GF2m_simple_cmp, - ec_GF2m_simple_make_affine, - ec_GF2m_simple_points_make_affine, - - /* - * the following three method functions are defined in ec2_mult.c - */ - ec_GF2m_simple_mul, - ec_GF2m_precompute_mult, - ec_GF2m_have_precompute_mult, - - ec_GF2m_simple_field_mul, - ec_GF2m_simple_field_sqr, - ec_GF2m_simple_field_div, - 0 /* field_encode */ , - 0 /* field_decode */ , - 0 /* field_set_to_one */ - }; - -# ifdef OPENSSL_FIPS - if (FIPS_mode()) - return fips_ec_gf2m_simple_method(); -# endif - - return &ret; -} - -/* - * Initialize a GF(2^m)-based EC_GROUP structure. Note that all other members - * are handled by EC_GROUP_new. - */ -int ec_GF2m_simple_group_init(EC_GROUP *group) -{ - BN_init(&group->field); - BN_init(&group->a); - BN_init(&group->b); - return 1; -} - -/* - * Free a GF(2^m)-based EC_GROUP structure. Note that all other members are - * handled by EC_GROUP_free. - */ -void ec_GF2m_simple_group_finish(EC_GROUP *group) -{ - BN_free(&group->field); - BN_free(&group->a); - BN_free(&group->b); -} - -/* - * Clear and free a GF(2^m)-based EC_GROUP structure. Note that all other - * members are handled by EC_GROUP_clear_free. - */ -void ec_GF2m_simple_group_clear_finish(EC_GROUP *group) -{ - BN_clear_free(&group->field); - BN_clear_free(&group->a); - BN_clear_free(&group->b); - group->poly[0] = 0; - group->poly[1] = 0; - group->poly[2] = 0; - group->poly[3] = 0; - group->poly[4] = 0; - group->poly[5] = -1; -} - -/* - * Copy a GF(2^m)-based EC_GROUP structure. Note that all other members are - * handled by EC_GROUP_copy. - */ -int ec_GF2m_simple_group_copy(EC_GROUP *dest, const EC_GROUP *src) -{ - int i; - if (!BN_copy(&dest->field, &src->field)) - return 0; - if (!BN_copy(&dest->a, &src->a)) - return 0; - if (!BN_copy(&dest->b, &src->b)) - return 0; - dest->poly[0] = src->poly[0]; - dest->poly[1] = src->poly[1]; - dest->poly[2] = src->poly[2]; - dest->poly[3] = src->poly[3]; - dest->poly[4] = src->poly[4]; - dest->poly[5] = src->poly[5]; - if (bn_wexpand(&dest->a, (int)(dest->poly[0] + BN_BITS2 - 1) / BN_BITS2) - == NULL) - return 0; - if (bn_wexpand(&dest->b, (int)(dest->poly[0] + BN_BITS2 - 1) / BN_BITS2) - == NULL) - return 0; - for (i = dest->a.top; i < dest->a.dmax; i++) - dest->a.d[i] = 0; - for (i = dest->b.top; i < dest->b.dmax; i++) - dest->b.d[i] = 0; - return 1; -} - -/* Set the curve parameters of an EC_GROUP structure. */ -int ec_GF2m_simple_group_set_curve(EC_GROUP *group, - const BIGNUM *p, const BIGNUM *a, - const BIGNUM *b, BN_CTX *ctx) -{ - int ret = 0, i; - - /* group->field */ - if (!BN_copy(&group->field, p)) - goto err; - i = BN_GF2m_poly2arr(&group->field, group->poly, 6) - 1; - if ((i != 5) && (i != 3)) { - ECerr(EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE, EC_R_UNSUPPORTED_FIELD); - goto err; - } - - /* group->a */ - if (!BN_GF2m_mod_arr(&group->a, a, group->poly)) - goto err; - if (bn_wexpand(&group->a, (int)(group->poly[0] + BN_BITS2 - 1) / BN_BITS2) - == NULL) - goto err; - for (i = group->a.top; i < group->a.dmax; i++) - group->a.d[i] = 0; - - /* group->b */ - if (!BN_GF2m_mod_arr(&group->b, b, group->poly)) - goto err; - if (bn_wexpand(&group->b, (int)(group->poly[0] + BN_BITS2 - 1) / BN_BITS2) - == NULL) - goto err; - for (i = group->b.top; i < group->b.dmax; i++) - group->b.d[i] = 0; - - ret = 1; - err: - return ret; -} - -/* - * Get the curve parameters of an EC_GROUP structure. If p, a, or b are NULL - * then there values will not be set but the method will return with success. - */ -int ec_GF2m_simple_group_get_curve(const EC_GROUP *group, BIGNUM *p, - BIGNUM *a, BIGNUM *b, BN_CTX *ctx) -{ - int ret = 0; - - if (p != NULL) { - if (!BN_copy(p, &group->field)) - return 0; - } - - if (a != NULL) { - if (!BN_copy(a, &group->a)) - goto err; - } - - if (b != NULL) { - if (!BN_copy(b, &group->b)) - goto err; - } - - ret = 1; - - err: - return ret; -} - -/* - * Gets the degree of the field. For a curve over GF(2^m) this is the value - * m. - */ -int ec_GF2m_simple_group_get_degree(const EC_GROUP *group) -{ - return BN_num_bits(&group->field) - 1; -} - -/* - * Checks the discriminant of the curve. y^2 + x*y = x^3 + a*x^2 + b is an - * elliptic curve <=> b != 0 (mod p) - */ -int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *group, - BN_CTX *ctx) -{ - int ret = 0; - BIGNUM *b; - BN_CTX *new_ctx = NULL; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) { - ECerr(EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT, - ERR_R_MALLOC_FAILURE); - goto err; - } - } - BN_CTX_start(ctx); - b = BN_CTX_get(ctx); - if (b == NULL) - goto err; - - if (!BN_GF2m_mod_arr(b, &group->b, group->poly)) - goto err; - - /* - * check the discriminant: y^2 + x*y = x^3 + a*x^2 + b is an elliptic - * curve <=> b != 0 (mod p) - */ - if (BN_is_zero(b)) - goto err; - - ret = 1; - - err: - if (ctx != NULL) - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -/* Initializes an EC_POINT. */ -int ec_GF2m_simple_point_init(EC_POINT *point) -{ - BN_init(&point->X); - BN_init(&point->Y); - BN_init(&point->Z); - return 1; -} - -/* Frees an EC_POINT. */ -void ec_GF2m_simple_point_finish(EC_POINT *point) -{ - BN_free(&point->X); - BN_free(&point->Y); - BN_free(&point->Z); -} - -/* Clears and frees an EC_POINT. */ -void ec_GF2m_simple_point_clear_finish(EC_POINT *point) -{ - BN_clear_free(&point->X); - BN_clear_free(&point->Y); - BN_clear_free(&point->Z); - point->Z_is_one = 0; -} - -/* - * Copy the contents of one EC_POINT into another. Assumes dest is - * initialized. - */ -int ec_GF2m_simple_point_copy(EC_POINT *dest, const EC_POINT *src) -{ - if (!BN_copy(&dest->X, &src->X)) - return 0; - if (!BN_copy(&dest->Y, &src->Y)) - return 0; - if (!BN_copy(&dest->Z, &src->Z)) - return 0; - dest->Z_is_one = src->Z_is_one; - - return 1; -} - -/* - * Set an EC_POINT to the point at infinity. A point at infinity is - * represented by having Z=0. - */ -int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *group, - EC_POINT *point) -{ - point->Z_is_one = 0; - BN_zero(&point->Z); - return 1; -} - -/* - * Set the coordinates of an EC_POINT using affine coordinates. Note that - * the simple implementation only uses affine coordinates. - */ -int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *group, - EC_POINT *point, - const BIGNUM *x, - const BIGNUM *y, BN_CTX *ctx) -{ - int ret = 0; - if (x == NULL || y == NULL) { - ECerr(EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES, - ERR_R_PASSED_NULL_PARAMETER); - return 0; - } - - if (!BN_copy(&point->X, x)) - goto err; - BN_set_negative(&point->X, 0); - if (!BN_copy(&point->Y, y)) - goto err; - BN_set_negative(&point->Y, 0); - if (!BN_copy(&point->Z, BN_value_one())) - goto err; - BN_set_negative(&point->Z, 0); - point->Z_is_one = 1; - ret = 1; - - err: - return ret; -} - -/* - * Gets the affine coordinates of an EC_POINT. Note that the simple - * implementation only uses affine coordinates. - */ -int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *group, - const EC_POINT *point, - BIGNUM *x, BIGNUM *y, - BN_CTX *ctx) -{ - int ret = 0; - - if (EC_POINT_is_at_infinity(group, point)) { - ECerr(EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES, - EC_R_POINT_AT_INFINITY); - return 0; - } - - if (BN_cmp(&point->Z, BN_value_one())) { - ECerr(EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (x != NULL) { - if (!BN_copy(x, &point->X)) - goto err; - BN_set_negative(x, 0); - } - if (y != NULL) { - if (!BN_copy(y, &point->Y)) - goto err; - BN_set_negative(y, 0); - } - ret = 1; - - err: - return ret; -} - -/* - * Computes a + b and stores the result in r. r could be a or b, a could be - * b. Uses algorithm A.10.2 of IEEE P1363. - */ -int ec_GF2m_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, - const EC_POINT *b, BN_CTX *ctx) -{ - BN_CTX *new_ctx = NULL; - BIGNUM *x0, *y0, *x1, *y1, *x2, *y2, *s, *t; - int ret = 0; - - if (EC_POINT_is_at_infinity(group, a)) { - if (!EC_POINT_copy(r, b)) - return 0; - return 1; - } - - if (EC_POINT_is_at_infinity(group, b)) { - if (!EC_POINT_copy(r, a)) - return 0; - return 1; - } - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - BN_CTX_start(ctx); - x0 = BN_CTX_get(ctx); - y0 = BN_CTX_get(ctx); - x1 = BN_CTX_get(ctx); - y1 = BN_CTX_get(ctx); - x2 = BN_CTX_get(ctx); - y2 = BN_CTX_get(ctx); - s = BN_CTX_get(ctx); - t = BN_CTX_get(ctx); - if (t == NULL) - goto err; - - if (a->Z_is_one) { - if (!BN_copy(x0, &a->X)) - goto err; - if (!BN_copy(y0, &a->Y)) - goto err; - } else { - if (!EC_POINT_get_affine_coordinates_GF2m(group, a, x0, y0, ctx)) - goto err; - } - if (b->Z_is_one) { - if (!BN_copy(x1, &b->X)) - goto err; - if (!BN_copy(y1, &b->Y)) - goto err; - } else { - if (!EC_POINT_get_affine_coordinates_GF2m(group, b, x1, y1, ctx)) - goto err; - } - - if (BN_GF2m_cmp(x0, x1)) { - if (!BN_GF2m_add(t, x0, x1)) - goto err; - if (!BN_GF2m_add(s, y0, y1)) - goto err; - if (!group->meth->field_div(group, s, s, t, ctx)) - goto err; - if (!group->meth->field_sqr(group, x2, s, ctx)) - goto err; - if (!BN_GF2m_add(x2, x2, &group->a)) - goto err; - if (!BN_GF2m_add(x2, x2, s)) - goto err; - if (!BN_GF2m_add(x2, x2, t)) - goto err; - } else { - if (BN_GF2m_cmp(y0, y1) || BN_is_zero(x1)) { - if (!EC_POINT_set_to_infinity(group, r)) - goto err; - ret = 1; - goto err; - } - if (!group->meth->field_div(group, s, y1, x1, ctx)) - goto err; - if (!BN_GF2m_add(s, s, x1)) - goto err; - - if (!group->meth->field_sqr(group, x2, s, ctx)) - goto err; - if (!BN_GF2m_add(x2, x2, s)) - goto err; - if (!BN_GF2m_add(x2, x2, &group->a)) - goto err; - } - - if (!BN_GF2m_add(y2, x1, x2)) - goto err; - if (!group->meth->field_mul(group, y2, y2, s, ctx)) - goto err; - if (!BN_GF2m_add(y2, y2, x2)) - goto err; - if (!BN_GF2m_add(y2, y2, y1)) - goto err; - - if (!EC_POINT_set_affine_coordinates_GF2m(group, r, x2, y2, ctx)) - goto err; - - ret = 1; - - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -/* - * Computes 2 * a and stores the result in r. r could be a. Uses algorithm - * A.10.2 of IEEE P1363. - */ -int ec_GF2m_simple_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, - BN_CTX *ctx) -{ - return ec_GF2m_simple_add(group, r, a, a, ctx); -} - -int ec_GF2m_simple_invert(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx) -{ - if (EC_POINT_is_at_infinity(group, point) || BN_is_zero(&point->Y)) - /* point is its own inverse */ - return 1; - - if (!EC_POINT_make_affine(group, point, ctx)) - return 0; - return BN_GF2m_add(&point->Y, &point->X, &point->Y); -} - -/* Indicates whether the given point is the point at infinity. */ -int ec_GF2m_simple_is_at_infinity(const EC_GROUP *group, - const EC_POINT *point) -{ - return BN_is_zero(&point->Z); -} - -/*- - * Determines whether the given EC_POINT is an actual point on the curve defined - * in the EC_GROUP. A point is valid if it satisfies the Weierstrass equation: - * y^2 + x*y = x^3 + a*x^2 + b. - */ -int ec_GF2m_simple_is_on_curve(const EC_GROUP *group, const EC_POINT *point, - BN_CTX *ctx) -{ - int ret = -1; - BN_CTX *new_ctx = NULL; - BIGNUM *lh, *y2; - int (*field_mul) (const EC_GROUP *, BIGNUM *, const BIGNUM *, - const BIGNUM *, BN_CTX *); - int (*field_sqr) (const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *); - - if (EC_POINT_is_at_infinity(group, point)) - return 1; - - field_mul = group->meth->field_mul; - field_sqr = group->meth->field_sqr; - - /* only support affine coordinates */ - if (!point->Z_is_one) - return -1; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return -1; - } - - BN_CTX_start(ctx); - y2 = BN_CTX_get(ctx); - lh = BN_CTX_get(ctx); - if (lh == NULL) - goto err; - - /*- - * We have a curve defined by a Weierstrass equation - * y^2 + x*y = x^3 + a*x^2 + b. - * <=> x^3 + a*x^2 + x*y + b + y^2 = 0 - * <=> ((x + a) * x + y ) * x + b + y^2 = 0 - */ - if (!BN_GF2m_add(lh, &point->X, &group->a)) - goto err; - if (!field_mul(group, lh, lh, &point->X, ctx)) - goto err; - if (!BN_GF2m_add(lh, lh, &point->Y)) - goto err; - if (!field_mul(group, lh, lh, &point->X, ctx)) - goto err; - if (!BN_GF2m_add(lh, lh, &group->b)) - goto err; - if (!field_sqr(group, y2, &point->Y, ctx)) - goto err; - if (!BN_GF2m_add(lh, lh, y2)) - goto err; - ret = BN_is_zero(lh); - err: - if (ctx) - BN_CTX_end(ctx); - if (new_ctx) - BN_CTX_free(new_ctx); - return ret; -} - -/*- - * Indicates whether two points are equal. - * Return values: - * -1 error - * 0 equal (in affine coordinates) - * 1 not equal - */ -int ec_GF2m_simple_cmp(const EC_GROUP *group, const EC_POINT *a, - const EC_POINT *b, BN_CTX *ctx) -{ - BIGNUM *aX, *aY, *bX, *bY; - BN_CTX *new_ctx = NULL; - int ret = -1; - - if (EC_POINT_is_at_infinity(group, a)) { - return EC_POINT_is_at_infinity(group, b) ? 0 : 1; - } - - if (EC_POINT_is_at_infinity(group, b)) - return 1; - - if (a->Z_is_one && b->Z_is_one) { - return ((BN_cmp(&a->X, &b->X) == 0) - && BN_cmp(&a->Y, &b->Y) == 0) ? 0 : 1; - } - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return -1; - } - - BN_CTX_start(ctx); - aX = BN_CTX_get(ctx); - aY = BN_CTX_get(ctx); - bX = BN_CTX_get(ctx); - bY = BN_CTX_get(ctx); - if (bY == NULL) - goto err; - - if (!EC_POINT_get_affine_coordinates_GF2m(group, a, aX, aY, ctx)) - goto err; - if (!EC_POINT_get_affine_coordinates_GF2m(group, b, bX, bY, ctx)) - goto err; - ret = ((BN_cmp(aX, bX) == 0) && BN_cmp(aY, bY) == 0) ? 0 : 1; - - err: - if (ctx) - BN_CTX_end(ctx); - if (new_ctx) - BN_CTX_free(new_ctx); - return ret; -} - -/* Forces the given EC_POINT to internally use affine coordinates. */ -int ec_GF2m_simple_make_affine(const EC_GROUP *group, EC_POINT *point, - BN_CTX *ctx) -{ - BN_CTX *new_ctx = NULL; - BIGNUM *x, *y; - int ret = 0; - - if (point->Z_is_one || EC_POINT_is_at_infinity(group, point)) - return 1; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - BN_CTX_start(ctx); - x = BN_CTX_get(ctx); - y = BN_CTX_get(ctx); - if (y == NULL) - goto err; - - if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) - goto err; - if (!BN_copy(&point->X, x)) - goto err; - if (!BN_copy(&point->Y, y)) - goto err; - if (!BN_one(&point->Z)) - goto err; - point->Z_is_one = 1; - - ret = 1; - - err: - if (ctx) - BN_CTX_end(ctx); - if (new_ctx) - BN_CTX_free(new_ctx); - return ret; -} - -/* - * Forces each of the EC_POINTs in the given array to use affine coordinates. - */ -int ec_GF2m_simple_points_make_affine(const EC_GROUP *group, size_t num, - EC_POINT *points[], BN_CTX *ctx) -{ - size_t i; - - for (i = 0; i < num; i++) { - if (!group->meth->make_affine(group, points[i], ctx)) - return 0; - } - - return 1; -} - -/* Wrapper to simple binary polynomial field multiplication implementation. */ -int ec_GF2m_simple_field_mul(const EC_GROUP *group, BIGNUM *r, - const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) -{ - return BN_GF2m_mod_mul_arr(r, a, b, group->poly, ctx); -} - -/* Wrapper to simple binary polynomial field squaring implementation. */ -int ec_GF2m_simple_field_sqr(const EC_GROUP *group, BIGNUM *r, - const BIGNUM *a, BN_CTX *ctx) -{ - return BN_GF2m_mod_sqr_arr(r, a, group->poly, ctx); -} - -/* Wrapper to simple binary polynomial field division implementation. */ -int ec_GF2m_simple_field_div(const EC_GROUP *group, BIGNUM *r, - const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) -{ - return BN_GF2m_mod_div(r, a, b, &group->field, ctx); -} - -#endif diff --git a/thirdparty/openssl/crypto/ec/ec_ameth.c b/thirdparty/openssl/crypto/ec/ec_ameth.c deleted file mode 100644 index 2c41c6e7a9..0000000000 --- a/thirdparty/openssl/crypto/ec/ec_ameth.c +++ /dev/null @@ -1,967 +0,0 @@ -/* - * Written by Dr Stephen N Henson (steve@openssl.org) for the OpenSSL project - * 2006. - */ -/* ==================================================================== - * Copyright (c) 2006 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * licensing@OpenSSL.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ - -#include <stdio.h> -#include "cryptlib.h" -#include <openssl/x509.h> -#include <openssl/ec.h> -#include <openssl/bn.h> -#ifndef OPENSSL_NO_CMS -# include <openssl/cms.h> -#endif -#include <openssl/asn1t.h> -#include "asn1_locl.h" -#include "ec_lcl.h" - -#ifndef OPENSSL_NO_CMS -static int ecdh_cms_decrypt(CMS_RecipientInfo *ri); -static int ecdh_cms_encrypt(CMS_RecipientInfo *ri); -#endif - -static int eckey_param2type(int *pptype, void **ppval, EC_KEY *ec_key) -{ - const EC_GROUP *group; - int nid; - if (ec_key == NULL || (group = EC_KEY_get0_group(ec_key)) == NULL) { - ECerr(EC_F_ECKEY_PARAM2TYPE, EC_R_MISSING_PARAMETERS); - return 0; - } - if (EC_GROUP_get_asn1_flag(group) - && (nid = EC_GROUP_get_curve_name(group))) - /* we have a 'named curve' => just set the OID */ - { - *ppval = OBJ_nid2obj(nid); - *pptype = V_ASN1_OBJECT; - } else { /* explicit parameters */ - - ASN1_STRING *pstr = NULL; - pstr = ASN1_STRING_new(); - if (!pstr) - return 0; - pstr->length = i2d_ECParameters(ec_key, &pstr->data); - if (pstr->length <= 0) { - ASN1_STRING_free(pstr); - ECerr(EC_F_ECKEY_PARAM2TYPE, ERR_R_EC_LIB); - return 0; - } - *ppval = pstr; - *pptype = V_ASN1_SEQUENCE; - } - return 1; -} - -static int eckey_pub_encode(X509_PUBKEY *pk, const EVP_PKEY *pkey) -{ - EC_KEY *ec_key = pkey->pkey.ec; - void *pval = NULL; - int ptype; - unsigned char *penc = NULL, *p; - int penclen; - - if (!eckey_param2type(&ptype, &pval, ec_key)) { - ECerr(EC_F_ECKEY_PUB_ENCODE, ERR_R_EC_LIB); - return 0; - } - penclen = i2o_ECPublicKey(ec_key, NULL); - if (penclen <= 0) - goto err; - penc = OPENSSL_malloc(penclen); - if (!penc) - goto err; - p = penc; - penclen = i2o_ECPublicKey(ec_key, &p); - if (penclen <= 0) - goto err; - if (X509_PUBKEY_set0_param(pk, OBJ_nid2obj(EVP_PKEY_EC), - ptype, pval, penc, penclen)) - return 1; - err: - if (ptype == V_ASN1_OBJECT) - ASN1_OBJECT_free(pval); - else - ASN1_STRING_free(pval); - if (penc) - OPENSSL_free(penc); - return 0; -} - -static EC_KEY *eckey_type2param(int ptype, void *pval) -{ - EC_KEY *eckey = NULL; - if (ptype == V_ASN1_SEQUENCE) { - ASN1_STRING *pstr = pval; - const unsigned char *pm = NULL; - int pmlen; - pm = pstr->data; - pmlen = pstr->length; - if (!(eckey = d2i_ECParameters(NULL, &pm, pmlen))) { - ECerr(EC_F_ECKEY_TYPE2PARAM, EC_R_DECODE_ERROR); - goto ecerr; - } - } else if (ptype == V_ASN1_OBJECT) { - ASN1_OBJECT *poid = pval; - EC_GROUP *group; - - /* - * type == V_ASN1_OBJECT => the parameters are given by an asn1 OID - */ - if ((eckey = EC_KEY_new()) == NULL) { - ECerr(EC_F_ECKEY_TYPE2PARAM, ERR_R_MALLOC_FAILURE); - goto ecerr; - } - group = EC_GROUP_new_by_curve_name(OBJ_obj2nid(poid)); - if (group == NULL) - goto ecerr; - EC_GROUP_set_asn1_flag(group, OPENSSL_EC_NAMED_CURVE); - if (EC_KEY_set_group(eckey, group) == 0) - goto ecerr; - EC_GROUP_free(group); - } else { - ECerr(EC_F_ECKEY_TYPE2PARAM, EC_R_DECODE_ERROR); - goto ecerr; - } - - return eckey; - - ecerr: - if (eckey) - EC_KEY_free(eckey); - return NULL; -} - -static int eckey_pub_decode(EVP_PKEY *pkey, X509_PUBKEY *pubkey) -{ - const unsigned char *p = NULL; - void *pval; - int ptype, pklen; - EC_KEY *eckey = NULL; - X509_ALGOR *palg; - - if (!X509_PUBKEY_get0_param(NULL, &p, &pklen, &palg, pubkey)) - return 0; - X509_ALGOR_get0(NULL, &ptype, &pval, palg); - - eckey = eckey_type2param(ptype, pval); - - if (!eckey) { - ECerr(EC_F_ECKEY_PUB_DECODE, ERR_R_EC_LIB); - return 0; - } - - /* We have parameters now set public key */ - if (!o2i_ECPublicKey(&eckey, &p, pklen)) { - ECerr(EC_F_ECKEY_PUB_DECODE, EC_R_DECODE_ERROR); - goto ecerr; - } - - EVP_PKEY_assign_EC_KEY(pkey, eckey); - return 1; - - ecerr: - if (eckey) - EC_KEY_free(eckey); - return 0; -} - -static int eckey_pub_cmp(const EVP_PKEY *a, const EVP_PKEY *b) -{ - int r; - const EC_GROUP *group = EC_KEY_get0_group(b->pkey.ec); - const EC_POINT *pa = EC_KEY_get0_public_key(a->pkey.ec), - *pb = EC_KEY_get0_public_key(b->pkey.ec); - if (group == NULL || pa == NULL || pb == NULL) - return -2; - r = EC_POINT_cmp(group, pa, pb, NULL); - if (r == 0) - return 1; - if (r == 1) - return 0; - return -2; -} - -static int eckey_priv_decode(EVP_PKEY *pkey, PKCS8_PRIV_KEY_INFO *p8) -{ - const unsigned char *p = NULL; - void *pval; - int ptype, pklen; - EC_KEY *eckey = NULL; - X509_ALGOR *palg; - - if (!PKCS8_pkey_get0(NULL, &p, &pklen, &palg, p8)) - return 0; - X509_ALGOR_get0(NULL, &ptype, &pval, palg); - - eckey = eckey_type2param(ptype, pval); - - if (!eckey) - goto ecliberr; - - /* We have parameters now set private key */ - if (!d2i_ECPrivateKey(&eckey, &p, pklen)) { - ECerr(EC_F_ECKEY_PRIV_DECODE, EC_R_DECODE_ERROR); - goto ecerr; - } - - /* calculate public key (if necessary) */ - if (EC_KEY_get0_public_key(eckey) == NULL) { - const BIGNUM *priv_key; - const EC_GROUP *group; - EC_POINT *pub_key; - /* - * the public key was not included in the SEC1 private key => - * calculate the public key - */ - group = EC_KEY_get0_group(eckey); - pub_key = EC_POINT_new(group); - if (pub_key == NULL) { - ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB); - goto ecliberr; - } - if (!EC_POINT_copy(pub_key, EC_GROUP_get0_generator(group))) { - EC_POINT_free(pub_key); - ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB); - goto ecliberr; - } - priv_key = EC_KEY_get0_private_key(eckey); - if (!EC_POINT_mul(group, pub_key, priv_key, NULL, NULL, NULL)) { - EC_POINT_free(pub_key); - ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB); - goto ecliberr; - } - if (EC_KEY_set_public_key(eckey, pub_key) == 0) { - EC_POINT_free(pub_key); - ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB); - goto ecliberr; - } - EC_POINT_free(pub_key); - } - - EVP_PKEY_assign_EC_KEY(pkey, eckey); - return 1; - - ecliberr: - ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB); - ecerr: - if (eckey) - EC_KEY_free(eckey); - return 0; -} - -static int eckey_priv_encode(PKCS8_PRIV_KEY_INFO *p8, const EVP_PKEY *pkey) -{ - EC_KEY ec_key = *(pkey->pkey.ec); - unsigned char *ep, *p; - int eplen, ptype; - void *pval; - unsigned int old_flags; - - if (!eckey_param2type(&ptype, &pval, &ec_key)) { - ECerr(EC_F_ECKEY_PRIV_ENCODE, EC_R_DECODE_ERROR); - return 0; - } - - /* set the private key */ - - /* - * do not include the parameters in the SEC1 private key see PKCS#11 - * 12.11 - */ - old_flags = EC_KEY_get_enc_flags(&ec_key); - EC_KEY_set_enc_flags(&ec_key, old_flags | EC_PKEY_NO_PARAMETERS); - - eplen = i2d_ECPrivateKey(&ec_key, NULL); - if (!eplen) { - ECerr(EC_F_ECKEY_PRIV_ENCODE, ERR_R_EC_LIB); - return 0; - } - ep = (unsigned char *)OPENSSL_malloc(eplen); - if (!ep) { - ECerr(EC_F_ECKEY_PRIV_ENCODE, ERR_R_MALLOC_FAILURE); - return 0; - } - p = ep; - if (!i2d_ECPrivateKey(&ec_key, &p)) { - OPENSSL_free(ep); - ECerr(EC_F_ECKEY_PRIV_ENCODE, ERR_R_EC_LIB); - return 0; - } - - if (!PKCS8_pkey_set0(p8, OBJ_nid2obj(NID_X9_62_id_ecPublicKey), 0, - ptype, pval, ep, eplen)) { - OPENSSL_free(ep); - return 0; - } - - return 1; -} - -static int int_ec_size(const EVP_PKEY *pkey) -{ - return ECDSA_size(pkey->pkey.ec); -} - -static int ec_bits(const EVP_PKEY *pkey) -{ - BIGNUM *order = BN_new(); - const EC_GROUP *group; - int ret; - - if (!order) { - ERR_clear_error(); - return 0; - } - group = EC_KEY_get0_group(pkey->pkey.ec); - if (!EC_GROUP_get_order(group, order, NULL)) { - ERR_clear_error(); - return 0; - } - - ret = BN_num_bits(order); - BN_free(order); - return ret; -} - -static int ec_missing_parameters(const EVP_PKEY *pkey) -{ - if (pkey->pkey.ec == NULL || EC_KEY_get0_group(pkey->pkey.ec) == NULL) - return 1; - return 0; -} - -static int ec_copy_parameters(EVP_PKEY *to, const EVP_PKEY *from) -{ - EC_GROUP *group = EC_GROUP_dup(EC_KEY_get0_group(from->pkey.ec)); - if (group == NULL) - return 0; - if (EC_KEY_set_group(to->pkey.ec, group) == 0) - return 0; - EC_GROUP_free(group); - return 1; -} - -static int ec_cmp_parameters(const EVP_PKEY *a, const EVP_PKEY *b) -{ - const EC_GROUP *group_a = EC_KEY_get0_group(a->pkey.ec), - *group_b = EC_KEY_get0_group(b->pkey.ec); - if (group_a == NULL || group_b == NULL) - return -2; - if (EC_GROUP_cmp(group_a, group_b, NULL)) - return 0; - else - return 1; -} - -static void int_ec_free(EVP_PKEY *pkey) -{ - EC_KEY_free(pkey->pkey.ec); -} - -static int do_EC_KEY_print(BIO *bp, const EC_KEY *x, int off, int ktype) -{ - unsigned char *buffer = NULL; - const char *ecstr; - size_t buf_len = 0, i; - int ret = 0, reason = ERR_R_BIO_LIB; - BIGNUM *pub_key = NULL, *order = NULL; - BN_CTX *ctx = NULL; - const EC_GROUP *group; - const EC_POINT *public_key; - const BIGNUM *priv_key; - - if (x == NULL || (group = EC_KEY_get0_group(x)) == NULL) { - reason = ERR_R_PASSED_NULL_PARAMETER; - goto err; - } - - ctx = BN_CTX_new(); - if (ctx == NULL) { - reason = ERR_R_MALLOC_FAILURE; - goto err; - } - - if (ktype > 0) { - public_key = EC_KEY_get0_public_key(x); - if (public_key != NULL) { - if ((pub_key = EC_POINT_point2bn(group, public_key, - EC_KEY_get_conv_form(x), NULL, - ctx)) == NULL) { - reason = ERR_R_EC_LIB; - goto err; - } - buf_len = (size_t)BN_num_bytes(pub_key); - } - } - - if (ktype == 2) { - priv_key = EC_KEY_get0_private_key(x); - if (priv_key && (i = (size_t)BN_num_bytes(priv_key)) > buf_len) - buf_len = i; - } else - priv_key = NULL; - - if (ktype > 0) { - buf_len += 10; - if ((buffer = OPENSSL_malloc(buf_len)) == NULL) { - reason = ERR_R_MALLOC_FAILURE; - goto err; - } - } - if (ktype == 2) - ecstr = "Private-Key"; - else if (ktype == 1) - ecstr = "Public-Key"; - else - ecstr = "ECDSA-Parameters"; - - if (!BIO_indent(bp, off, 128)) - goto err; - if ((order = BN_new()) == NULL) - goto err; - if (!EC_GROUP_get_order(group, order, NULL)) - goto err; - if (BIO_printf(bp, "%s: (%d bit)\n", ecstr, BN_num_bits(order)) <= 0) - goto err; - - if ((priv_key != NULL) && !ASN1_bn_print(bp, "priv:", priv_key, - buffer, off)) - goto err; - if ((pub_key != NULL) && !ASN1_bn_print(bp, "pub: ", pub_key, - buffer, off)) - goto err; - if (!ECPKParameters_print(bp, group, off)) - goto err; - ret = 1; - err: - if (!ret) - ECerr(EC_F_DO_EC_KEY_PRINT, reason); - if (pub_key) - BN_free(pub_key); - if (order) - BN_free(order); - if (ctx) - BN_CTX_free(ctx); - if (buffer != NULL) - OPENSSL_free(buffer); - return (ret); -} - -static int eckey_param_decode(EVP_PKEY *pkey, - const unsigned char **pder, int derlen) -{ - EC_KEY *eckey; - if (!(eckey = d2i_ECParameters(NULL, pder, derlen))) { - ECerr(EC_F_ECKEY_PARAM_DECODE, ERR_R_EC_LIB); - return 0; - } - EVP_PKEY_assign_EC_KEY(pkey, eckey); - return 1; -} - -static int eckey_param_encode(const EVP_PKEY *pkey, unsigned char **pder) -{ - return i2d_ECParameters(pkey->pkey.ec, pder); -} - -static int eckey_param_print(BIO *bp, const EVP_PKEY *pkey, int indent, - ASN1_PCTX *ctx) -{ - return do_EC_KEY_print(bp, pkey->pkey.ec, indent, 0); -} - -static int eckey_pub_print(BIO *bp, const EVP_PKEY *pkey, int indent, - ASN1_PCTX *ctx) -{ - return do_EC_KEY_print(bp, pkey->pkey.ec, indent, 1); -} - -static int eckey_priv_print(BIO *bp, const EVP_PKEY *pkey, int indent, - ASN1_PCTX *ctx) -{ - return do_EC_KEY_print(bp, pkey->pkey.ec, indent, 2); -} - -static int old_ec_priv_decode(EVP_PKEY *pkey, - const unsigned char **pder, int derlen) -{ - EC_KEY *ec; - if (!(ec = d2i_ECPrivateKey(NULL, pder, derlen))) { - ECerr(EC_F_OLD_EC_PRIV_DECODE, EC_R_DECODE_ERROR); - return 0; - } - EVP_PKEY_assign_EC_KEY(pkey, ec); - return 1; -} - -static int old_ec_priv_encode(const EVP_PKEY *pkey, unsigned char **pder) -{ - return i2d_ECPrivateKey(pkey->pkey.ec, pder); -} - -static int ec_pkey_ctrl(EVP_PKEY *pkey, int op, long arg1, void *arg2) -{ - switch (op) { - case ASN1_PKEY_CTRL_PKCS7_SIGN: - if (arg1 == 0) { - int snid, hnid; - X509_ALGOR *alg1, *alg2; - PKCS7_SIGNER_INFO_get0_algs(arg2, NULL, &alg1, &alg2); - if (alg1 == NULL || alg1->algorithm == NULL) - return -1; - hnid = OBJ_obj2nid(alg1->algorithm); - if (hnid == NID_undef) - return -1; - if (!OBJ_find_sigid_by_algs(&snid, hnid, EVP_PKEY_id(pkey))) - return -1; - X509_ALGOR_set0(alg2, OBJ_nid2obj(snid), V_ASN1_UNDEF, 0); - } - return 1; -#ifndef OPENSSL_NO_CMS - case ASN1_PKEY_CTRL_CMS_SIGN: - if (arg1 == 0) { - int snid, hnid; - X509_ALGOR *alg1, *alg2; - CMS_SignerInfo_get0_algs(arg2, NULL, NULL, &alg1, &alg2); - if (alg1 == NULL || alg1->algorithm == NULL) - return -1; - hnid = OBJ_obj2nid(alg1->algorithm); - if (hnid == NID_undef) - return -1; - if (!OBJ_find_sigid_by_algs(&snid, hnid, EVP_PKEY_id(pkey))) - return -1; - X509_ALGOR_set0(alg2, OBJ_nid2obj(snid), V_ASN1_UNDEF, 0); - } - return 1; - - case ASN1_PKEY_CTRL_CMS_ENVELOPE: - if (arg1 == 1) - return ecdh_cms_decrypt(arg2); - else if (arg1 == 0) - return ecdh_cms_encrypt(arg2); - return -2; - - case ASN1_PKEY_CTRL_CMS_RI_TYPE: - *(int *)arg2 = CMS_RECIPINFO_AGREE; - return 1; -#endif - - case ASN1_PKEY_CTRL_DEFAULT_MD_NID: - *(int *)arg2 = NID_sha256; - return 2; - - default: - return -2; - - } - -} - -const EVP_PKEY_ASN1_METHOD eckey_asn1_meth = { - EVP_PKEY_EC, - EVP_PKEY_EC, - 0, - "EC", - "OpenSSL EC algorithm", - - eckey_pub_decode, - eckey_pub_encode, - eckey_pub_cmp, - eckey_pub_print, - - eckey_priv_decode, - eckey_priv_encode, - eckey_priv_print, - - int_ec_size, - ec_bits, - - eckey_param_decode, - eckey_param_encode, - ec_missing_parameters, - ec_copy_parameters, - ec_cmp_parameters, - eckey_param_print, - 0, - - int_ec_free, - ec_pkey_ctrl, - old_ec_priv_decode, - old_ec_priv_encode -}; - -#ifndef OPENSSL_NO_CMS - -static int ecdh_cms_set_peerkey(EVP_PKEY_CTX *pctx, - X509_ALGOR *alg, ASN1_BIT_STRING *pubkey) -{ - ASN1_OBJECT *aoid; - int atype; - void *aval; - int rv = 0; - EVP_PKEY *pkpeer = NULL; - EC_KEY *ecpeer = NULL; - const unsigned char *p; - int plen; - X509_ALGOR_get0(&aoid, &atype, &aval, alg); - if (OBJ_obj2nid(aoid) != NID_X9_62_id_ecPublicKey) - goto err; - /* If absent parameters get group from main key */ - if (atype == V_ASN1_UNDEF || atype == V_ASN1_NULL) { - const EC_GROUP *grp; - EVP_PKEY *pk; - pk = EVP_PKEY_CTX_get0_pkey(pctx); - if (!pk) - goto err; - grp = EC_KEY_get0_group(pk->pkey.ec); - ecpeer = EC_KEY_new(); - if (!ecpeer) - goto err; - if (!EC_KEY_set_group(ecpeer, grp)) - goto err; - } else { - ecpeer = eckey_type2param(atype, aval); - if (!ecpeer) - goto err; - } - /* We have parameters now set public key */ - plen = ASN1_STRING_length(pubkey); - p = ASN1_STRING_data(pubkey); - if (!p || !plen) - goto err; - if (!o2i_ECPublicKey(&ecpeer, &p, plen)) - goto err; - pkpeer = EVP_PKEY_new(); - if (!pkpeer) - goto err; - EVP_PKEY_set1_EC_KEY(pkpeer, ecpeer); - if (EVP_PKEY_derive_set_peer(pctx, pkpeer) > 0) - rv = 1; - err: - if (ecpeer) - EC_KEY_free(ecpeer); - if (pkpeer) - EVP_PKEY_free(pkpeer); - return rv; -} - -/* Set KDF parameters based on KDF NID */ -static int ecdh_cms_set_kdf_param(EVP_PKEY_CTX *pctx, int eckdf_nid) -{ - int kdf_nid, kdfmd_nid, cofactor; - const EVP_MD *kdf_md; - if (eckdf_nid == NID_undef) - return 0; - - /* Lookup KDF type, cofactor mode and digest */ - if (!OBJ_find_sigid_algs(eckdf_nid, &kdfmd_nid, &kdf_nid)) - return 0; - - if (kdf_nid == NID_dh_std_kdf) - cofactor = 0; - else if (kdf_nid == NID_dh_cofactor_kdf) - cofactor = 1; - else - return 0; - - if (EVP_PKEY_CTX_set_ecdh_cofactor_mode(pctx, cofactor) <= 0) - return 0; - - if (EVP_PKEY_CTX_set_ecdh_kdf_type(pctx, EVP_PKEY_ECDH_KDF_X9_62) <= 0) - return 0; - - kdf_md = EVP_get_digestbynid(kdfmd_nid); - if (!kdf_md) - return 0; - - if (EVP_PKEY_CTX_set_ecdh_kdf_md(pctx, kdf_md) <= 0) - return 0; - return 1; -} - -static int ecdh_cms_set_shared_info(EVP_PKEY_CTX *pctx, CMS_RecipientInfo *ri) -{ - int rv = 0; - - X509_ALGOR *alg, *kekalg = NULL; - ASN1_OCTET_STRING *ukm; - const unsigned char *p; - unsigned char *der = NULL; - int plen, keylen; - const EVP_CIPHER *kekcipher; - EVP_CIPHER_CTX *kekctx; - - if (!CMS_RecipientInfo_kari_get0_alg(ri, &alg, &ukm)) - return 0; - - if (!ecdh_cms_set_kdf_param(pctx, OBJ_obj2nid(alg->algorithm))) { - ECerr(EC_F_ECDH_CMS_SET_SHARED_INFO, EC_R_KDF_PARAMETER_ERROR); - return 0; - } - - if (alg->parameter->type != V_ASN1_SEQUENCE) - return 0; - - p = alg->parameter->value.sequence->data; - plen = alg->parameter->value.sequence->length; - kekalg = d2i_X509_ALGOR(NULL, &p, plen); - if (!kekalg) - goto err; - kekctx = CMS_RecipientInfo_kari_get0_ctx(ri); - if (!kekctx) - goto err; - kekcipher = EVP_get_cipherbyobj(kekalg->algorithm); - if (!kekcipher || EVP_CIPHER_mode(kekcipher) != EVP_CIPH_WRAP_MODE) - goto err; - if (!EVP_EncryptInit_ex(kekctx, kekcipher, NULL, NULL, NULL)) - goto err; - if (EVP_CIPHER_asn1_to_param(kekctx, kekalg->parameter) <= 0) - goto err; - - keylen = EVP_CIPHER_CTX_key_length(kekctx); - if (EVP_PKEY_CTX_set_ecdh_kdf_outlen(pctx, keylen) <= 0) - goto err; - - plen = CMS_SharedInfo_encode(&der, kekalg, ukm, keylen); - - if (!plen) - goto err; - - if (EVP_PKEY_CTX_set0_ecdh_kdf_ukm(pctx, der, plen) <= 0) - goto err; - der = NULL; - - rv = 1; - err: - if (kekalg) - X509_ALGOR_free(kekalg); - if (der) - OPENSSL_free(der); - return rv; -} - -static int ecdh_cms_decrypt(CMS_RecipientInfo *ri) -{ - EVP_PKEY_CTX *pctx; - pctx = CMS_RecipientInfo_get0_pkey_ctx(ri); - if (!pctx) - return 0; - /* See if we need to set peer key */ - if (!EVP_PKEY_CTX_get0_peerkey(pctx)) { - X509_ALGOR *alg; - ASN1_BIT_STRING *pubkey; - if (!CMS_RecipientInfo_kari_get0_orig_id(ri, &alg, &pubkey, - NULL, NULL, NULL)) - return 0; - if (!alg || !pubkey) - return 0; - if (!ecdh_cms_set_peerkey(pctx, alg, pubkey)) { - ECerr(EC_F_ECDH_CMS_DECRYPT, EC_R_PEER_KEY_ERROR); - return 0; - } - } - /* Set ECDH derivation parameters and initialise unwrap context */ - if (!ecdh_cms_set_shared_info(pctx, ri)) { - ECerr(EC_F_ECDH_CMS_DECRYPT, EC_R_SHARED_INFO_ERROR); - return 0; - } - return 1; -} - -static int ecdh_cms_encrypt(CMS_RecipientInfo *ri) -{ - EVP_PKEY_CTX *pctx; - EVP_PKEY *pkey; - EVP_CIPHER_CTX *ctx; - int keylen; - X509_ALGOR *talg, *wrap_alg = NULL; - ASN1_OBJECT *aoid; - ASN1_BIT_STRING *pubkey; - ASN1_STRING *wrap_str; - ASN1_OCTET_STRING *ukm; - unsigned char *penc = NULL; - int penclen; - int rv = 0; - int ecdh_nid, kdf_type, kdf_nid, wrap_nid; - const EVP_MD *kdf_md; - pctx = CMS_RecipientInfo_get0_pkey_ctx(ri); - if (!pctx) - return 0; - /* Get ephemeral key */ - pkey = EVP_PKEY_CTX_get0_pkey(pctx); - if (!CMS_RecipientInfo_kari_get0_orig_id(ri, &talg, &pubkey, - NULL, NULL, NULL)) - goto err; - X509_ALGOR_get0(&aoid, NULL, NULL, talg); - /* Is everything uninitialised? */ - if (aoid == OBJ_nid2obj(NID_undef)) { - - EC_KEY *eckey = pkey->pkey.ec; - /* Set the key */ - unsigned char *p; - - penclen = i2o_ECPublicKey(eckey, NULL); - if (penclen <= 0) - goto err; - penc = OPENSSL_malloc(penclen); - if (!penc) - goto err; - p = penc; - penclen = i2o_ECPublicKey(eckey, &p); - if (penclen <= 0) - goto err; - ASN1_STRING_set0(pubkey, penc, penclen); - pubkey->flags &= ~(ASN1_STRING_FLAG_BITS_LEFT | 0x07); - pubkey->flags |= ASN1_STRING_FLAG_BITS_LEFT; - - penc = NULL; - X509_ALGOR_set0(talg, OBJ_nid2obj(NID_X9_62_id_ecPublicKey), - V_ASN1_UNDEF, NULL); - } - - /* See if custom paraneters set */ - kdf_type = EVP_PKEY_CTX_get_ecdh_kdf_type(pctx); - if (kdf_type <= 0) - goto err; - if (!EVP_PKEY_CTX_get_ecdh_kdf_md(pctx, &kdf_md)) - goto err; - ecdh_nid = EVP_PKEY_CTX_get_ecdh_cofactor_mode(pctx); - if (ecdh_nid < 0) - goto err; - else if (ecdh_nid == 0) - ecdh_nid = NID_dh_std_kdf; - else if (ecdh_nid == 1) - ecdh_nid = NID_dh_cofactor_kdf; - - if (kdf_type == EVP_PKEY_ECDH_KDF_NONE) { - kdf_type = EVP_PKEY_ECDH_KDF_X9_62; - if (EVP_PKEY_CTX_set_ecdh_kdf_type(pctx, kdf_type) <= 0) - goto err; - } else - /* Uknown KDF */ - goto err; - if (kdf_md == NULL) { - /* Fixme later for better MD */ - kdf_md = EVP_sha1(); - if (EVP_PKEY_CTX_set_ecdh_kdf_md(pctx, kdf_md) <= 0) - goto err; - } - - if (!CMS_RecipientInfo_kari_get0_alg(ri, &talg, &ukm)) - goto err; - - /* Lookup NID for KDF+cofactor+digest */ - - if (!OBJ_find_sigid_by_algs(&kdf_nid, EVP_MD_type(kdf_md), ecdh_nid)) - goto err; - /* Get wrap NID */ - ctx = CMS_RecipientInfo_kari_get0_ctx(ri); - wrap_nid = EVP_CIPHER_CTX_type(ctx); - keylen = EVP_CIPHER_CTX_key_length(ctx); - - /* Package wrap algorithm in an AlgorithmIdentifier */ - - wrap_alg = X509_ALGOR_new(); - if (!wrap_alg) - goto err; - wrap_alg->algorithm = OBJ_nid2obj(wrap_nid); - wrap_alg->parameter = ASN1_TYPE_new(); - if (!wrap_alg->parameter) - goto err; - if (EVP_CIPHER_param_to_asn1(ctx, wrap_alg->parameter) <= 0) - goto err; - if (ASN1_TYPE_get(wrap_alg->parameter) == NID_undef) { - ASN1_TYPE_free(wrap_alg->parameter); - wrap_alg->parameter = NULL; - } - - if (EVP_PKEY_CTX_set_ecdh_kdf_outlen(pctx, keylen) <= 0) - goto err; - - penclen = CMS_SharedInfo_encode(&penc, wrap_alg, ukm, keylen); - - if (!penclen) - goto err; - - if (EVP_PKEY_CTX_set0_ecdh_kdf_ukm(pctx, penc, penclen) <= 0) - goto err; - penc = NULL; - - /* - * Now need to wrap encoding of wrap AlgorithmIdentifier into parameter - * of another AlgorithmIdentifier. - */ - penclen = i2d_X509_ALGOR(wrap_alg, &penc); - if (!penc || !penclen) - goto err; - wrap_str = ASN1_STRING_new(); - if (!wrap_str) - goto err; - ASN1_STRING_set0(wrap_str, penc, penclen); - penc = NULL; - X509_ALGOR_set0(talg, OBJ_nid2obj(kdf_nid), V_ASN1_SEQUENCE, wrap_str); - - rv = 1; - - err: - if (penc) - OPENSSL_free(penc); - if (wrap_alg) - X509_ALGOR_free(wrap_alg); - return rv; -} - -#endif diff --git a/thirdparty/openssl/crypto/ec/ec_asn1.c b/thirdparty/openssl/crypto/ec/ec_asn1.c deleted file mode 100644 index b0cd3e1788..0000000000 --- a/thirdparty/openssl/crypto/ec/ec_asn1.c +++ /dev/null @@ -1,1331 +0,0 @@ -/* crypto/ec/ec_asn1.c */ -/* - * Written by Nils Larsch for the OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 2000-2003 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * licensing@OpenSSL.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ - -#include <string.h> -#include "ec_lcl.h" -#include <openssl/err.h> -#include <openssl/asn1t.h> -#include <openssl/objects.h> - -#define OSSL_NELEM(x) (sizeof(x)/sizeof(x[0])) - -int EC_GROUP_get_basis_type(const EC_GROUP *group) -{ - int i; - - if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) != - NID_X9_62_characteristic_two_field) - /* everything else is currently not supported */ - return 0; - - /* Find the last non-zero element of group->poly[] */ - for (i = 0; - i < (int)OSSL_NELEM(group->poly) && group->poly[i] != 0; - i++) - continue; - - if (i == 4) - return NID_X9_62_ppBasis; - else if (i == 2) - return NID_X9_62_tpBasis; - else - /* everything else is currently not supported */ - return 0; -} - -#ifndef OPENSSL_NO_EC2M -int EC_GROUP_get_trinomial_basis(const EC_GROUP *group, unsigned int *k) -{ - if (group == NULL) - return 0; - - if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) != - NID_X9_62_characteristic_two_field - || !((group->poly[0] != 0) && (group->poly[1] != 0) - && (group->poly[2] == 0))) { - ECerr(EC_F_EC_GROUP_GET_TRINOMIAL_BASIS, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - - if (k) - *k = group->poly[1]; - - return 1; -} - -int EC_GROUP_get_pentanomial_basis(const EC_GROUP *group, unsigned int *k1, - unsigned int *k2, unsigned int *k3) -{ - if (group == NULL) - return 0; - - if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) != - NID_X9_62_characteristic_two_field - || !((group->poly[0] != 0) && (group->poly[1] != 0) - && (group->poly[2] != 0) && (group->poly[3] != 0) - && (group->poly[4] == 0))) { - ECerr(EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - - if (k1) - *k1 = group->poly[3]; - if (k2) - *k2 = group->poly[2]; - if (k3) - *k3 = group->poly[1]; - - return 1; -} -#endif - -/* some structures needed for the asn1 encoding */ -typedef struct x9_62_pentanomial_st { - long k1; - long k2; - long k3; -} X9_62_PENTANOMIAL; - -typedef struct x9_62_characteristic_two_st { - long m; - ASN1_OBJECT *type; - union { - char *ptr; - /* NID_X9_62_onBasis */ - ASN1_NULL *onBasis; - /* NID_X9_62_tpBasis */ - ASN1_INTEGER *tpBasis; - /* NID_X9_62_ppBasis */ - X9_62_PENTANOMIAL *ppBasis; - /* anything else */ - ASN1_TYPE *other; - } p; -} X9_62_CHARACTERISTIC_TWO; - -typedef struct x9_62_fieldid_st { - ASN1_OBJECT *fieldType; - union { - char *ptr; - /* NID_X9_62_prime_field */ - ASN1_INTEGER *prime; - /* NID_X9_62_characteristic_two_field */ - X9_62_CHARACTERISTIC_TWO *char_two; - /* anything else */ - ASN1_TYPE *other; - } p; -} X9_62_FIELDID; - -typedef struct x9_62_curve_st { - ASN1_OCTET_STRING *a; - ASN1_OCTET_STRING *b; - ASN1_BIT_STRING *seed; -} X9_62_CURVE; - -typedef struct ec_parameters_st { - long version; - X9_62_FIELDID *fieldID; - X9_62_CURVE *curve; - ASN1_OCTET_STRING *base; - ASN1_INTEGER *order; - ASN1_INTEGER *cofactor; -} ECPARAMETERS; - -struct ecpk_parameters_st { - int type; - union { - ASN1_OBJECT *named_curve; - ECPARAMETERS *parameters; - ASN1_NULL *implicitlyCA; - } value; -} /* ECPKPARAMETERS */ ; - -/* SEC1 ECPrivateKey */ -typedef struct ec_privatekey_st { - long version; - ASN1_OCTET_STRING *privateKey; - ECPKPARAMETERS *parameters; - ASN1_BIT_STRING *publicKey; -} EC_PRIVATEKEY; - -/* the OpenSSL ASN.1 definitions */ -ASN1_SEQUENCE(X9_62_PENTANOMIAL) = { - ASN1_SIMPLE(X9_62_PENTANOMIAL, k1, LONG), - ASN1_SIMPLE(X9_62_PENTANOMIAL, k2, LONG), - ASN1_SIMPLE(X9_62_PENTANOMIAL, k3, LONG) -} ASN1_SEQUENCE_END(X9_62_PENTANOMIAL) - -DECLARE_ASN1_ALLOC_FUNCTIONS(X9_62_PENTANOMIAL) -IMPLEMENT_ASN1_ALLOC_FUNCTIONS(X9_62_PENTANOMIAL) - -ASN1_ADB_TEMPLATE(char_two_def) = ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.other, ASN1_ANY); - -ASN1_ADB(X9_62_CHARACTERISTIC_TWO) = { - ADB_ENTRY(NID_X9_62_onBasis, ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.onBasis, ASN1_NULL)), - ADB_ENTRY(NID_X9_62_tpBasis, ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.tpBasis, ASN1_INTEGER)), - ADB_ENTRY(NID_X9_62_ppBasis, ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.ppBasis, X9_62_PENTANOMIAL)) -} ASN1_ADB_END(X9_62_CHARACTERISTIC_TWO, 0, type, 0, &char_two_def_tt, NULL); - -ASN1_SEQUENCE(X9_62_CHARACTERISTIC_TWO) = { - ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, m, LONG), - ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, type, ASN1_OBJECT), - ASN1_ADB_OBJECT(X9_62_CHARACTERISTIC_TWO) -} ASN1_SEQUENCE_END(X9_62_CHARACTERISTIC_TWO) - -DECLARE_ASN1_ALLOC_FUNCTIONS(X9_62_CHARACTERISTIC_TWO) -IMPLEMENT_ASN1_ALLOC_FUNCTIONS(X9_62_CHARACTERISTIC_TWO) - -ASN1_ADB_TEMPLATE(fieldID_def) = ASN1_SIMPLE(X9_62_FIELDID, p.other, ASN1_ANY); - -ASN1_ADB(X9_62_FIELDID) = { - ADB_ENTRY(NID_X9_62_prime_field, ASN1_SIMPLE(X9_62_FIELDID, p.prime, ASN1_INTEGER)), - ADB_ENTRY(NID_X9_62_characteristic_two_field, ASN1_SIMPLE(X9_62_FIELDID, p.char_two, X9_62_CHARACTERISTIC_TWO)) -} ASN1_ADB_END(X9_62_FIELDID, 0, fieldType, 0, &fieldID_def_tt, NULL); - -ASN1_SEQUENCE(X9_62_FIELDID) = { - ASN1_SIMPLE(X9_62_FIELDID, fieldType, ASN1_OBJECT), - ASN1_ADB_OBJECT(X9_62_FIELDID) -} ASN1_SEQUENCE_END(X9_62_FIELDID) - -ASN1_SEQUENCE(X9_62_CURVE) = { - ASN1_SIMPLE(X9_62_CURVE, a, ASN1_OCTET_STRING), - ASN1_SIMPLE(X9_62_CURVE, b, ASN1_OCTET_STRING), - ASN1_OPT(X9_62_CURVE, seed, ASN1_BIT_STRING) -} ASN1_SEQUENCE_END(X9_62_CURVE) - -ASN1_SEQUENCE(ECPARAMETERS) = { - ASN1_SIMPLE(ECPARAMETERS, version, LONG), - ASN1_SIMPLE(ECPARAMETERS, fieldID, X9_62_FIELDID), - ASN1_SIMPLE(ECPARAMETERS, curve, X9_62_CURVE), - ASN1_SIMPLE(ECPARAMETERS, base, ASN1_OCTET_STRING), - ASN1_SIMPLE(ECPARAMETERS, order, ASN1_INTEGER), - ASN1_OPT(ECPARAMETERS, cofactor, ASN1_INTEGER) -} ASN1_SEQUENCE_END(ECPARAMETERS) - -DECLARE_ASN1_ALLOC_FUNCTIONS(ECPARAMETERS) -IMPLEMENT_ASN1_ALLOC_FUNCTIONS(ECPARAMETERS) - -ASN1_CHOICE(ECPKPARAMETERS) = { - ASN1_SIMPLE(ECPKPARAMETERS, value.named_curve, ASN1_OBJECT), - ASN1_SIMPLE(ECPKPARAMETERS, value.parameters, ECPARAMETERS), - ASN1_SIMPLE(ECPKPARAMETERS, value.implicitlyCA, ASN1_NULL) -} ASN1_CHOICE_END(ECPKPARAMETERS) - -DECLARE_ASN1_FUNCTIONS_const(ECPKPARAMETERS) -DECLARE_ASN1_ENCODE_FUNCTIONS_const(ECPKPARAMETERS, ECPKPARAMETERS) -IMPLEMENT_ASN1_FUNCTIONS_const(ECPKPARAMETERS) - -ASN1_SEQUENCE(EC_PRIVATEKEY) = { - ASN1_SIMPLE(EC_PRIVATEKEY, version, LONG), - ASN1_SIMPLE(EC_PRIVATEKEY, privateKey, ASN1_OCTET_STRING), - ASN1_EXP_OPT(EC_PRIVATEKEY, parameters, ECPKPARAMETERS, 0), - ASN1_EXP_OPT(EC_PRIVATEKEY, publicKey, ASN1_BIT_STRING, 1) -} ASN1_SEQUENCE_END(EC_PRIVATEKEY) - -DECLARE_ASN1_FUNCTIONS_const(EC_PRIVATEKEY) -DECLARE_ASN1_ENCODE_FUNCTIONS_const(EC_PRIVATEKEY, EC_PRIVATEKEY) -IMPLEMENT_ASN1_FUNCTIONS_const(EC_PRIVATEKEY) - -/* some declarations of internal function */ - -/* ec_asn1_group2field() sets the values in a X9_62_FIELDID object */ -static int ec_asn1_group2fieldid(const EC_GROUP *, X9_62_FIELDID *); -/* ec_asn1_group2curve() sets the values in a X9_62_CURVE object */ -static int ec_asn1_group2curve(const EC_GROUP *, X9_62_CURVE *); -/* - * ec_asn1_parameters2group() creates a EC_GROUP object from a ECPARAMETERS - * object - */ -static EC_GROUP *ec_asn1_parameters2group(const ECPARAMETERS *); -/* - * ec_asn1_group2parameters() creates a ECPARAMETERS object from a EC_GROUP - * object - */ -static ECPARAMETERS *ec_asn1_group2parameters(const EC_GROUP *, - ECPARAMETERS *); -/* - * ec_asn1_pkparameters2group() creates a EC_GROUP object from a - * ECPKPARAMETERS object - */ -static EC_GROUP *ec_asn1_pkparameters2group(const ECPKPARAMETERS *); -/* - * ec_asn1_group2pkparameters() creates a ECPKPARAMETERS object from a - * EC_GROUP object - */ -static ECPKPARAMETERS *ec_asn1_group2pkparameters(const EC_GROUP *, - ECPKPARAMETERS *); - -/* the function definitions */ - -static int ec_asn1_group2fieldid(const EC_GROUP *group, X9_62_FIELDID *field) -{ - int ok = 0, nid; - BIGNUM *tmp = NULL; - - if (group == NULL || field == NULL) - return 0; - - /* clear the old values (if necessary) */ - if (field->fieldType != NULL) - ASN1_OBJECT_free(field->fieldType); - if (field->p.other != NULL) - ASN1_TYPE_free(field->p.other); - - nid = EC_METHOD_get_field_type(EC_GROUP_method_of(group)); - /* set OID for the field */ - if ((field->fieldType = OBJ_nid2obj(nid)) == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_OBJ_LIB); - goto err; - } - - if (nid == NID_X9_62_prime_field) { - if ((tmp = BN_new()) == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE); - goto err; - } - /* the parameters are specified by the prime number p */ - if (!EC_GROUP_get_curve_GFp(group, tmp, NULL, NULL, NULL)) { - ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_EC_LIB); - goto err; - } - /* set the prime number */ - field->p.prime = BN_to_ASN1_INTEGER(tmp, NULL); - if (field->p.prime == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_ASN1_LIB); - goto err; - } - } else /* nid == NID_X9_62_characteristic_two_field */ -#ifdef OPENSSL_NO_EC2M - { - ECerr(EC_F_EC_ASN1_GROUP2FIELDID, EC_R_GF2M_NOT_SUPPORTED); - goto err; - } -#else - { - int field_type; - X9_62_CHARACTERISTIC_TWO *char_two; - - field->p.char_two = X9_62_CHARACTERISTIC_TWO_new(); - char_two = field->p.char_two; - - if (char_two == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE); - goto err; - } - - char_two->m = (long)EC_GROUP_get_degree(group); - - field_type = EC_GROUP_get_basis_type(group); - - if (field_type == 0) { - ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_EC_LIB); - goto err; - } - /* set base type OID */ - if ((char_two->type = OBJ_nid2obj(field_type)) == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_OBJ_LIB); - goto err; - } - - if (field_type == NID_X9_62_tpBasis) { - unsigned int k; - - if (!EC_GROUP_get_trinomial_basis(group, &k)) - goto err; - - char_two->p.tpBasis = ASN1_INTEGER_new(); - if (!char_two->p.tpBasis) { - ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE); - goto err; - } - if (!ASN1_INTEGER_set(char_two->p.tpBasis, (long)k)) { - ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_ASN1_LIB); - goto err; - } - } else if (field_type == NID_X9_62_ppBasis) { - unsigned int k1, k2, k3; - - if (!EC_GROUP_get_pentanomial_basis(group, &k1, &k2, &k3)) - goto err; - - char_two->p.ppBasis = X9_62_PENTANOMIAL_new(); - if (!char_two->p.ppBasis) { - ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE); - goto err; - } - - /* set k? values */ - char_two->p.ppBasis->k1 = (long)k1; - char_two->p.ppBasis->k2 = (long)k2; - char_two->p.ppBasis->k3 = (long)k3; - } else { /* field_type == NID_X9_62_onBasis */ - - /* for ONB the parameters are (asn1) NULL */ - char_two->p.onBasis = ASN1_NULL_new(); - if (!char_two->p.onBasis) { - ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE); - goto err; - } - } - } -#endif - - ok = 1; - - err:if (tmp) - BN_free(tmp); - return (ok); -} - -static int ec_asn1_group2curve(const EC_GROUP *group, X9_62_CURVE *curve) -{ - int ok = 0, nid; - BIGNUM *tmp_1 = NULL, *tmp_2 = NULL; - unsigned char *buffer_1 = NULL, *buffer_2 = NULL, - *a_buf = NULL, *b_buf = NULL; - size_t len_1, len_2; - unsigned char char_zero = 0; - - if (!group || !curve || !curve->a || !curve->b) - return 0; - - if ((tmp_1 = BN_new()) == NULL || (tmp_2 = BN_new()) == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_MALLOC_FAILURE); - goto err; - } - - nid = EC_METHOD_get_field_type(EC_GROUP_method_of(group)); - - /* get a and b */ - if (nid == NID_X9_62_prime_field) { - if (!EC_GROUP_get_curve_GFp(group, NULL, tmp_1, tmp_2, NULL)) { - ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_EC_LIB); - goto err; - } - } -#ifndef OPENSSL_NO_EC2M - else { /* nid == NID_X9_62_characteristic_two_field */ - - if (!EC_GROUP_get_curve_GF2m(group, NULL, tmp_1, tmp_2, NULL)) { - ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_EC_LIB); - goto err; - } - } -#endif - len_1 = (size_t)BN_num_bytes(tmp_1); - len_2 = (size_t)BN_num_bytes(tmp_2); - - if (len_1 == 0) { - /* len_1 == 0 => a == 0 */ - a_buf = &char_zero; - len_1 = 1; - } else { - if ((buffer_1 = OPENSSL_malloc(len_1)) == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_MALLOC_FAILURE); - goto err; - } - if ((len_1 = BN_bn2bin(tmp_1, buffer_1)) == 0) { - ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_BN_LIB); - goto err; - } - a_buf = buffer_1; - } - - if (len_2 == 0) { - /* len_2 == 0 => b == 0 */ - b_buf = &char_zero; - len_2 = 1; - } else { - if ((buffer_2 = OPENSSL_malloc(len_2)) == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_MALLOC_FAILURE); - goto err; - } - if ((len_2 = BN_bn2bin(tmp_2, buffer_2)) == 0) { - ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_BN_LIB); - goto err; - } - b_buf = buffer_2; - } - - /* set a and b */ - if (!M_ASN1_OCTET_STRING_set(curve->a, a_buf, len_1) || - !M_ASN1_OCTET_STRING_set(curve->b, b_buf, len_2)) { - ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_ASN1_LIB); - goto err; - } - - /* set the seed (optional) */ - if (group->seed) { - if (!curve->seed) - if ((curve->seed = ASN1_BIT_STRING_new()) == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_MALLOC_FAILURE); - goto err; - } - curve->seed->flags &= ~(ASN1_STRING_FLAG_BITS_LEFT | 0x07); - curve->seed->flags |= ASN1_STRING_FLAG_BITS_LEFT; - if (!ASN1_BIT_STRING_set(curve->seed, group->seed, - (int)group->seed_len)) { - ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_ASN1_LIB); - goto err; - } - } else { - if (curve->seed) { - ASN1_BIT_STRING_free(curve->seed); - curve->seed = NULL; - } - } - - ok = 1; - - err:if (buffer_1) - OPENSSL_free(buffer_1); - if (buffer_2) - OPENSSL_free(buffer_2); - if (tmp_1) - BN_free(tmp_1); - if (tmp_2) - BN_free(tmp_2); - return (ok); -} - -static ECPARAMETERS *ec_asn1_group2parameters(const EC_GROUP *group, - ECPARAMETERS *param) -{ - int ok = 0; - size_t len = 0; - ECPARAMETERS *ret = NULL; - BIGNUM *tmp = NULL; - unsigned char *buffer = NULL; - const EC_POINT *point = NULL; - point_conversion_form_t form; - - if ((tmp = BN_new()) == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_MALLOC_FAILURE); - goto err; - } - - if (param == NULL) { - if ((ret = ECPARAMETERS_new()) == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_MALLOC_FAILURE); - goto err; - } - } else - ret = param; - - /* set the version (always one) */ - ret->version = (long)0x1; - - /* set the fieldID */ - if (!ec_asn1_group2fieldid(group, ret->fieldID)) { - ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_EC_LIB); - goto err; - } - - /* set the curve */ - if (!ec_asn1_group2curve(group, ret->curve)) { - ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_EC_LIB); - goto err; - } - - /* set the base point */ - if ((point = EC_GROUP_get0_generator(group)) == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, EC_R_UNDEFINED_GENERATOR); - goto err; - } - - form = EC_GROUP_get_point_conversion_form(group); - - len = EC_POINT_point2oct(group, point, form, NULL, len, NULL); - if (len == 0) { - ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_EC_LIB); - goto err; - } - if ((buffer = OPENSSL_malloc(len)) == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_MALLOC_FAILURE); - goto err; - } - if (!EC_POINT_point2oct(group, point, form, buffer, len, NULL)) { - ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_EC_LIB); - goto err; - } - if (ret->base == NULL && (ret->base = ASN1_OCTET_STRING_new()) == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_MALLOC_FAILURE); - goto err; - } - if (!ASN1_OCTET_STRING_set(ret->base, buffer, len)) { - ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_ASN1_LIB); - goto err; - } - - /* set the order */ - if (!EC_GROUP_get_order(group, tmp, NULL)) { - ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_EC_LIB); - goto err; - } - ret->order = BN_to_ASN1_INTEGER(tmp, ret->order); - if (ret->order == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_ASN1_LIB); - goto err; - } - - /* set the cofactor (optional) */ - if (EC_GROUP_get_cofactor(group, tmp, NULL)) { - ret->cofactor = BN_to_ASN1_INTEGER(tmp, ret->cofactor); - if (ret->cofactor == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2PARAMETERS, ERR_R_ASN1_LIB); - goto err; - } - } - - ok = 1; - - err:if (!ok) { - if (ret && !param) - ECPARAMETERS_free(ret); - ret = NULL; - } - if (tmp) - BN_free(tmp); - if (buffer) - OPENSSL_free(buffer); - return (ret); -} - -ECPKPARAMETERS *ec_asn1_group2pkparameters(const EC_GROUP *group, - ECPKPARAMETERS *params) -{ - int ok = 1, tmp; - ECPKPARAMETERS *ret = params; - - if (ret == NULL) { - if ((ret = ECPKPARAMETERS_new()) == NULL) { - ECerr(EC_F_EC_ASN1_GROUP2PKPARAMETERS, ERR_R_MALLOC_FAILURE); - return NULL; - } - } else { - if (ret->type == 0 && ret->value.named_curve) - ASN1_OBJECT_free(ret->value.named_curve); - else if (ret->type == 1 && ret->value.parameters) - ECPARAMETERS_free(ret->value.parameters); - } - - if (EC_GROUP_get_asn1_flag(group)) { - /* - * use the asn1 OID to describe the the elliptic curve parameters - */ - tmp = EC_GROUP_get_curve_name(group); - if (tmp) { - ret->type = 0; - if ((ret->value.named_curve = OBJ_nid2obj(tmp)) == NULL) - ok = 0; - } else - /* we don't kmow the nid => ERROR */ - ok = 0; - } else { - /* use the ECPARAMETERS structure */ - ret->type = 1; - if ((ret->value.parameters = - ec_asn1_group2parameters(group, NULL)) == NULL) - ok = 0; - } - - if (!ok) { - ECPKPARAMETERS_free(ret); - return NULL; - } - return ret; -} - -static EC_GROUP *ec_asn1_parameters2group(const ECPARAMETERS *params) -{ - int ok = 0, tmp; - EC_GROUP *ret = NULL; - BIGNUM *p = NULL, *a = NULL, *b = NULL; - EC_POINT *point = NULL; - long field_bits; - - if (!params->fieldID || !params->fieldID->fieldType || - !params->fieldID->p.ptr) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR); - goto err; - } - - /* now extract the curve parameters a and b */ - if (!params->curve || !params->curve->a || - !params->curve->a->data || !params->curve->b || - !params->curve->b->data) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR); - goto err; - } - a = BN_bin2bn(params->curve->a->data, params->curve->a->length, NULL); - if (a == NULL) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_BN_LIB); - goto err; - } - b = BN_bin2bn(params->curve->b->data, params->curve->b->length, NULL); - if (b == NULL) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_BN_LIB); - goto err; - } - - /* get the field parameters */ - tmp = OBJ_obj2nid(params->fieldID->fieldType); - if (tmp == NID_X9_62_characteristic_two_field) -#ifdef OPENSSL_NO_EC2M - { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_GF2M_NOT_SUPPORTED); - goto err; - } -#else - { - X9_62_CHARACTERISTIC_TWO *char_two; - - char_two = params->fieldID->p.char_two; - - field_bits = char_two->m; - if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_FIELD_TOO_LARGE); - goto err; - } - - if ((p = BN_new()) == NULL) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_MALLOC_FAILURE); - goto err; - } - - /* get the base type */ - tmp = OBJ_obj2nid(char_two->type); - - if (tmp == NID_X9_62_tpBasis) { - long tmp_long; - - if (!char_two->p.tpBasis) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR); - goto err; - } - - tmp_long = ASN1_INTEGER_get(char_two->p.tpBasis); - - if (!(char_two->m > tmp_long && tmp_long > 0)) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, - EC_R_INVALID_TRINOMIAL_BASIS); - goto err; - } - - /* create the polynomial */ - if (!BN_set_bit(p, (int)char_two->m)) - goto err; - if (!BN_set_bit(p, (int)tmp_long)) - goto err; - if (!BN_set_bit(p, 0)) - goto err; - } else if (tmp == NID_X9_62_ppBasis) { - X9_62_PENTANOMIAL *penta; - - penta = char_two->p.ppBasis; - if (!penta) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR); - goto err; - } - - if (! - (char_two->m > penta->k3 && penta->k3 > penta->k2 - && penta->k2 > penta->k1 && penta->k1 > 0)) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, - EC_R_INVALID_PENTANOMIAL_BASIS); - goto err; - } - - /* create the polynomial */ - if (!BN_set_bit(p, (int)char_two->m)) - goto err; - if (!BN_set_bit(p, (int)penta->k1)) - goto err; - if (!BN_set_bit(p, (int)penta->k2)) - goto err; - if (!BN_set_bit(p, (int)penta->k3)) - goto err; - if (!BN_set_bit(p, 0)) - goto err; - } else if (tmp == NID_X9_62_onBasis) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_NOT_IMPLEMENTED); - goto err; - } else { /* error */ - - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR); - goto err; - } - - /* create the EC_GROUP structure */ - ret = EC_GROUP_new_curve_GF2m(p, a, b, NULL); - } -#endif - else if (tmp == NID_X9_62_prime_field) { - /* we have a curve over a prime field */ - /* extract the prime number */ - if (!params->fieldID->p.prime) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR); - goto err; - } - p = ASN1_INTEGER_to_BN(params->fieldID->p.prime, NULL); - if (p == NULL) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_ASN1_LIB); - goto err; - } - - if (BN_is_negative(p) || BN_is_zero(p)) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_INVALID_FIELD); - goto err; - } - - field_bits = BN_num_bits(p); - if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_FIELD_TOO_LARGE); - goto err; - } - - /* create the EC_GROUP structure */ - ret = EC_GROUP_new_curve_GFp(p, a, b, NULL); - } else { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_INVALID_FIELD); - goto err; - } - - if (ret == NULL) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_EC_LIB); - goto err; - } - - /* extract seed (optional) */ - if (params->curve->seed != NULL) { - if (ret->seed != NULL) - OPENSSL_free(ret->seed); - if (!(ret->seed = OPENSSL_malloc(params->curve->seed->length))) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_MALLOC_FAILURE); - goto err; - } - memcpy(ret->seed, params->curve->seed->data, - params->curve->seed->length); - ret->seed_len = params->curve->seed->length; - } - - if (!params->order || !params->base || !params->base->data) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_ASN1_ERROR); - goto err; - } - - if ((point = EC_POINT_new(ret)) == NULL) - goto err; - - /* set the point conversion form */ - EC_GROUP_set_point_conversion_form(ret, (point_conversion_form_t) - (params->base->data[0] & ~0x01)); - - /* extract the ec point */ - if (!EC_POINT_oct2point(ret, point, params->base->data, - params->base->length, NULL)) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_EC_LIB); - goto err; - } - - /* extract the order */ - if ((a = ASN1_INTEGER_to_BN(params->order, a)) == NULL) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_ASN1_LIB); - goto err; - } - if (BN_is_negative(a) || BN_is_zero(a)) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_INVALID_GROUP_ORDER); - goto err; - } - if (BN_num_bits(a) > (int)field_bits + 1) { /* Hasse bound */ - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, EC_R_INVALID_GROUP_ORDER); - goto err; - } - - /* extract the cofactor (optional) */ - if (params->cofactor == NULL) { - if (b) { - BN_free(b); - b = NULL; - } - } else if ((b = ASN1_INTEGER_to_BN(params->cofactor, b)) == NULL) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_ASN1_LIB); - goto err; - } - /* set the generator, order and cofactor (if present) */ - if (!EC_GROUP_set_generator(ret, point, a, b)) { - ECerr(EC_F_EC_ASN1_PARAMETERS2GROUP, ERR_R_EC_LIB); - goto err; - } - - ok = 1; - - err:if (!ok) { - if (ret) - EC_GROUP_clear_free(ret); - ret = NULL; - } - - if (p) - BN_free(p); - if (a) - BN_free(a); - if (b) - BN_free(b); - if (point) - EC_POINT_free(point); - return (ret); -} - -EC_GROUP *ec_asn1_pkparameters2group(const ECPKPARAMETERS *params) -{ - EC_GROUP *ret = NULL; - int tmp = 0; - - if (params == NULL) { - ECerr(EC_F_EC_ASN1_PKPARAMETERS2GROUP, EC_R_MISSING_PARAMETERS); - return NULL; - } - - if (params->type == 0) { /* the curve is given by an OID */ - tmp = OBJ_obj2nid(params->value.named_curve); - if ((ret = EC_GROUP_new_by_curve_name(tmp)) == NULL) { - ECerr(EC_F_EC_ASN1_PKPARAMETERS2GROUP, - EC_R_EC_GROUP_NEW_BY_NAME_FAILURE); - return NULL; - } - EC_GROUP_set_asn1_flag(ret, OPENSSL_EC_NAMED_CURVE); - } else if (params->type == 1) { /* the parameters are given by a - * ECPARAMETERS structure */ - ret = ec_asn1_parameters2group(params->value.parameters); - if (!ret) { - ECerr(EC_F_EC_ASN1_PKPARAMETERS2GROUP, ERR_R_EC_LIB); - return NULL; - } - EC_GROUP_set_asn1_flag(ret, 0x0); - } else if (params->type == 2) { /* implicitlyCA */ - return NULL; - } else { - ECerr(EC_F_EC_ASN1_PKPARAMETERS2GROUP, EC_R_ASN1_ERROR); - return NULL; - } - - return ret; -} - -/* EC_GROUP <-> DER encoding of ECPKPARAMETERS */ - -EC_GROUP *d2i_ECPKParameters(EC_GROUP **a, const unsigned char **in, long len) -{ - EC_GROUP *group = NULL; - ECPKPARAMETERS *params = NULL; - const unsigned char *p = *in; - - if ((params = d2i_ECPKPARAMETERS(NULL, &p, len)) == NULL) { - ECerr(EC_F_D2I_ECPKPARAMETERS, EC_R_D2I_ECPKPARAMETERS_FAILURE); - ECPKPARAMETERS_free(params); - return NULL; - } - - if ((group = ec_asn1_pkparameters2group(params)) == NULL) { - ECerr(EC_F_D2I_ECPKPARAMETERS, EC_R_PKPARAMETERS2GROUP_FAILURE); - ECPKPARAMETERS_free(params); - return NULL; - } - - if (a && *a) - EC_GROUP_clear_free(*a); - if (a) - *a = group; - - ECPKPARAMETERS_free(params); - *in = p; - return (group); -} - -int i2d_ECPKParameters(const EC_GROUP *a, unsigned char **out) -{ - int ret = 0; - ECPKPARAMETERS *tmp = ec_asn1_group2pkparameters(a, NULL); - if (tmp == NULL) { - ECerr(EC_F_I2D_ECPKPARAMETERS, EC_R_GROUP2PKPARAMETERS_FAILURE); - return 0; - } - if ((ret = i2d_ECPKPARAMETERS(tmp, out)) == 0) { - ECerr(EC_F_I2D_ECPKPARAMETERS, EC_R_I2D_ECPKPARAMETERS_FAILURE); - ECPKPARAMETERS_free(tmp); - return 0; - } - ECPKPARAMETERS_free(tmp); - return (ret); -} - -/* some EC_KEY functions */ - -EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len) -{ - int ok = 0; - EC_KEY *ret = NULL; - EC_PRIVATEKEY *priv_key = NULL; - const unsigned char *p = *in; - - if ((priv_key = d2i_EC_PRIVATEKEY(NULL, &p, len)) == NULL) { - ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_EC_LIB); - return NULL; - } - - if (a == NULL || *a == NULL) { - if ((ret = EC_KEY_new()) == NULL) { - ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_MALLOC_FAILURE); - goto err; - } - } else - ret = *a; - - if (priv_key->parameters) { - if (ret->group) - EC_GROUP_clear_free(ret->group); - ret->group = ec_asn1_pkparameters2group(priv_key->parameters); - } - - if (ret->group == NULL) { - ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_EC_LIB); - goto err; - } - - ret->version = priv_key->version; - - if (priv_key->privateKey) { - ret->priv_key = BN_bin2bn(M_ASN1_STRING_data(priv_key->privateKey), - M_ASN1_STRING_length(priv_key->privateKey), - ret->priv_key); - if (ret->priv_key == NULL) { - ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_BN_LIB); - goto err; - } - } else { - ECerr(EC_F_D2I_ECPRIVATEKEY, EC_R_MISSING_PRIVATE_KEY); - goto err; - } - - if (ret->pub_key) - EC_POINT_clear_free(ret->pub_key); - ret->pub_key = EC_POINT_new(ret->group); - if (ret->pub_key == NULL) { - ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_EC_LIB); - goto err; - } - - if (priv_key->publicKey) { - const unsigned char *pub_oct; - int pub_oct_len; - - pub_oct = M_ASN1_STRING_data(priv_key->publicKey); - pub_oct_len = M_ASN1_STRING_length(priv_key->publicKey); - /* - * The first byte - point conversion form - must be present. - */ - if (pub_oct_len <= 0) { - ECerr(EC_F_D2I_ECPRIVATEKEY, EC_R_BUFFER_TOO_SMALL); - goto err; - } - /* Save the point conversion form. */ - ret->conv_form = (point_conversion_form_t) (pub_oct[0] & ~0x01); - if (!EC_POINT_oct2point(ret->group, ret->pub_key, - pub_oct, (size_t)(pub_oct_len), NULL)) { - ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_EC_LIB); - goto err; - } - } else { - if (!EC_POINT_mul - (ret->group, ret->pub_key, ret->priv_key, NULL, NULL, NULL)) { - ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_EC_LIB); - goto err; - } - /* Remember the original private-key-only encoding. */ - ret->enc_flag |= EC_PKEY_NO_PUBKEY; - } - - if (a) - *a = ret; - *in = p; - ok = 1; - err: - if (!ok) { - if (ret && (a == NULL || *a != ret)) - EC_KEY_free(ret); - ret = NULL; - } - - if (priv_key) - EC_PRIVATEKEY_free(priv_key); - - return (ret); -} - -int i2d_ECPrivateKey(EC_KEY *a, unsigned char **out) -{ - int ret = 0, ok = 0; - unsigned char *buffer = NULL; - size_t buf_len = 0, tmp_len, bn_len; - EC_PRIVATEKEY *priv_key = NULL; - - if (a == NULL || a->group == NULL || a->priv_key == NULL || - (!(a->enc_flag & EC_PKEY_NO_PUBKEY) && a->pub_key == NULL)) { - ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_PASSED_NULL_PARAMETER); - goto err; - } - - if ((priv_key = EC_PRIVATEKEY_new()) == NULL) { - ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_MALLOC_FAILURE); - goto err; - } - - priv_key->version = a->version; - - bn_len = (size_t)BN_num_bytes(a->priv_key); - - /* Octetstring may need leading zeros if BN is to short */ - - buf_len = (EC_GROUP_get_degree(a->group) + 7) / 8; - - if (bn_len > buf_len) { - ECerr(EC_F_I2D_ECPRIVATEKEY, EC_R_BUFFER_TOO_SMALL); - goto err; - } - - buffer = OPENSSL_malloc(buf_len); - if (buffer == NULL) { - ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_MALLOC_FAILURE); - goto err; - } - - if (!BN_bn2bin(a->priv_key, buffer + buf_len - bn_len)) { - ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_BN_LIB); - goto err; - } - - if (buf_len - bn_len > 0) { - memset(buffer, 0, buf_len - bn_len); - } - - if (!M_ASN1_OCTET_STRING_set(priv_key->privateKey, buffer, buf_len)) { - ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_ASN1_LIB); - goto err; - } - - if (!(a->enc_flag & EC_PKEY_NO_PARAMETERS)) { - if ((priv_key->parameters = - ec_asn1_group2pkparameters(a->group, - priv_key->parameters)) == NULL) { - ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_EC_LIB); - goto err; - } - } - - if (!(a->enc_flag & EC_PKEY_NO_PUBKEY)) { - priv_key->publicKey = M_ASN1_BIT_STRING_new(); - if (priv_key->publicKey == NULL) { - ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_MALLOC_FAILURE); - goto err; - } - - tmp_len = EC_POINT_point2oct(a->group, a->pub_key, - a->conv_form, NULL, 0, NULL); - - if (tmp_len > buf_len) { - unsigned char *tmp_buffer = OPENSSL_realloc(buffer, tmp_len); - if (!tmp_buffer) { - ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_MALLOC_FAILURE); - goto err; - } - buffer = tmp_buffer; - buf_len = tmp_len; - } - - if (!EC_POINT_point2oct(a->group, a->pub_key, - a->conv_form, buffer, buf_len, NULL)) { - ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_EC_LIB); - goto err; - } - - priv_key->publicKey->flags &= ~(ASN1_STRING_FLAG_BITS_LEFT | 0x07); - priv_key->publicKey->flags |= ASN1_STRING_FLAG_BITS_LEFT; - if (!M_ASN1_BIT_STRING_set(priv_key->publicKey, buffer, buf_len)) { - ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_ASN1_LIB); - goto err; - } - } - - if ((ret = i2d_EC_PRIVATEKEY(priv_key, out)) == 0) { - ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_EC_LIB); - goto err; - } - ok = 1; - err: - if (buffer) - OPENSSL_free(buffer); - if (priv_key) - EC_PRIVATEKEY_free(priv_key); - return (ok ? ret : 0); -} - -int i2d_ECParameters(EC_KEY *a, unsigned char **out) -{ - if (a == NULL) { - ECerr(EC_F_I2D_ECPARAMETERS, ERR_R_PASSED_NULL_PARAMETER); - return 0; - } - return i2d_ECPKParameters(a->group, out); -} - -EC_KEY *d2i_ECParameters(EC_KEY **a, const unsigned char **in, long len) -{ - EC_KEY *ret; - - if (in == NULL || *in == NULL) { - ECerr(EC_F_D2I_ECPARAMETERS, ERR_R_PASSED_NULL_PARAMETER); - return NULL; - } - - if (a == NULL || *a == NULL) { - if ((ret = EC_KEY_new()) == NULL) { - ECerr(EC_F_D2I_ECPARAMETERS, ERR_R_MALLOC_FAILURE); - return NULL; - } - } else - ret = *a; - - if (!d2i_ECPKParameters(&ret->group, in, len)) { - ECerr(EC_F_D2I_ECPARAMETERS, ERR_R_EC_LIB); - if (a == NULL || *a != ret) - EC_KEY_free(ret); - return NULL; - } - - if (a) - *a = ret; - - return ret; -} - -EC_KEY *o2i_ECPublicKey(EC_KEY **a, const unsigned char **in, long len) -{ - EC_KEY *ret = NULL; - - if (a == NULL || (*a) == NULL || (*a)->group == NULL) { - /* - * sorry, but a EC_GROUP-structur is necessary to set the public key - */ - ECerr(EC_F_O2I_ECPUBLICKEY, ERR_R_PASSED_NULL_PARAMETER); - return 0; - } - ret = *a; - if (ret->pub_key == NULL && - (ret->pub_key = EC_POINT_new(ret->group)) == NULL) { - ECerr(EC_F_O2I_ECPUBLICKEY, ERR_R_MALLOC_FAILURE); - return 0; - } - if (!EC_POINT_oct2point(ret->group, ret->pub_key, *in, len, NULL)) { - ECerr(EC_F_O2I_ECPUBLICKEY, ERR_R_EC_LIB); - return 0; - } - /* save the point conversion form */ - ret->conv_form = (point_conversion_form_t) (*in[0] & ~0x01); - *in += len; - return ret; -} - -int i2o_ECPublicKey(EC_KEY *a, unsigned char **out) -{ - size_t buf_len = 0; - int new_buffer = 0; - - if (a == NULL) { - ECerr(EC_F_I2O_ECPUBLICKEY, ERR_R_PASSED_NULL_PARAMETER); - return 0; - } - - buf_len = EC_POINT_point2oct(a->group, a->pub_key, - a->conv_form, NULL, 0, NULL); - - if (out == NULL || buf_len == 0) - /* out == NULL => just return the length of the octet string */ - return buf_len; - - if (*out == NULL) { - if ((*out = OPENSSL_malloc(buf_len)) == NULL) { - ECerr(EC_F_I2O_ECPUBLICKEY, ERR_R_MALLOC_FAILURE); - return 0; - } - new_buffer = 1; - } - if (!EC_POINT_point2oct(a->group, a->pub_key, a->conv_form, - *out, buf_len, NULL)) { - ECerr(EC_F_I2O_ECPUBLICKEY, ERR_R_EC_LIB); - if (new_buffer) { - OPENSSL_free(*out); - *out = NULL; - } - return 0; - } - if (!new_buffer) - *out += buf_len; - return buf_len; -} diff --git a/thirdparty/openssl/crypto/ec/ec_check.c b/thirdparty/openssl/crypto/ec/ec_check.c deleted file mode 100644 index dd6f0ac409..0000000000 --- a/thirdparty/openssl/crypto/ec/ec_check.c +++ /dev/null @@ -1,120 +0,0 @@ -/* crypto/ec/ec_check.c */ -/* ==================================================================== - * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ - -#include "ec_lcl.h" -#include <openssl/err.h> - -int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx) -{ - int ret = 0; - BIGNUM *order; - BN_CTX *new_ctx = NULL; - EC_POINT *point = NULL; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) { - ECerr(EC_F_EC_GROUP_CHECK, ERR_R_MALLOC_FAILURE); - goto err; - } - } - BN_CTX_start(ctx); - if ((order = BN_CTX_get(ctx)) == NULL) - goto err; - - /* check the discriminant */ - if (!EC_GROUP_check_discriminant(group, ctx)) { - ECerr(EC_F_EC_GROUP_CHECK, EC_R_DISCRIMINANT_IS_ZERO); - goto err; - } - - /* check the generator */ - if (group->generator == NULL) { - ECerr(EC_F_EC_GROUP_CHECK, EC_R_UNDEFINED_GENERATOR); - goto err; - } - if (EC_POINT_is_on_curve(group, group->generator, ctx) <= 0) { - ECerr(EC_F_EC_GROUP_CHECK, EC_R_POINT_IS_NOT_ON_CURVE); - goto err; - } - - /* check the order of the generator */ - if ((point = EC_POINT_new(group)) == NULL) - goto err; - if (!EC_GROUP_get_order(group, order, ctx)) - goto err; - if (BN_is_zero(order)) { - ECerr(EC_F_EC_GROUP_CHECK, EC_R_UNDEFINED_ORDER); - goto err; - } - - if (!EC_POINT_mul(group, point, order, NULL, NULL, ctx)) - goto err; - if (!EC_POINT_is_at_infinity(group, point)) { - ECerr(EC_F_EC_GROUP_CHECK, EC_R_INVALID_GROUP_ORDER); - goto err; - } - - ret = 1; - - err: - if (ctx != NULL) - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - if (point) - EC_POINT_free(point); - return ret; -} diff --git a/thirdparty/openssl/crypto/ec/ec_curve.c b/thirdparty/openssl/crypto/ec/ec_curve.c deleted file mode 100644 index 6dbe9d8258..0000000000 --- a/thirdparty/openssl/crypto/ec/ec_curve.c +++ /dev/null @@ -1,3248 +0,0 @@ -/* crypto/ec/ec_curve.c */ -/* - * Written by Nils Larsch for the OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2010 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * - * Portions of the attached software ("Contribution") are developed by - * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. - * - * The Contribution is licensed pursuant to the OpenSSL open source - * license provided above. - * - * The elliptic curve binary polynomial software is originally written by - * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. - * - */ - -#include <string.h> -#include "ec_lcl.h" -#include <openssl/err.h> -#include <openssl/obj_mac.h> -#include <openssl/opensslconf.h> - -#ifdef OPENSSL_FIPS -# include <openssl/fips.h> -#endif - -typedef struct { - int field_type, /* either NID_X9_62_prime_field or - * NID_X9_62_characteristic_two_field */ - seed_len, param_len; - unsigned int cofactor; /* promoted to BN_ULONG */ -} EC_CURVE_DATA; - -/* the nist prime curves */ -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 24 * 6]; -} _EC_NIST_PRIME_192 = { - { - NID_X9_62_prime_field, 20, 24, 1 - }, - { - /* seed */ - 0x30, 0x45, 0xAE, 0x6F, 0xC8, 0x42, 0x2F, 0x64, 0xED, 0x57, 0x95, 0x28, - 0xD3, 0x81, 0x20, 0xEA, 0xE1, 0x21, 0x96, 0xD5, - /* p */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - /* a */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, - /* b */ - 0x64, 0x21, 0x05, 0x19, 0xE5, 0x9C, 0x80, 0xE7, 0x0F, 0xA7, 0xE9, 0xAB, - 0x72, 0x24, 0x30, 0x49, 0xFE, 0xB8, 0xDE, 0xEC, 0xC1, 0x46, 0xB9, 0xB1, - /* x */ - 0x18, 0x8D, 0xA8, 0x0E, 0xB0, 0x30, 0x90, 0xF6, 0x7C, 0xBF, 0x20, 0xEB, - 0x43, 0xA1, 0x88, 0x00, 0xF4, 0xFF, 0x0A, 0xFD, 0x82, 0xFF, 0x10, 0x12, - /* y */ - 0x07, 0x19, 0x2b, 0x95, 0xff, 0xc8, 0xda, 0x78, 0x63, 0x10, 0x11, 0xed, - 0x6b, 0x24, 0xcd, 0xd5, 0x73, 0xf9, 0x77, 0xa1, 0x1e, 0x79, 0x48, 0x11, - /* order */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0x99, 0xDE, 0xF8, 0x36, 0x14, 0x6B, 0xC9, 0xB1, 0xB4, 0xD2, 0x28, 0x31 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 28 * 6]; -} _EC_NIST_PRIME_224 = { - { - NID_X9_62_prime_field, 20, 28, 1 - }, - { - /* seed */ - 0xBD, 0x71, 0x34, 0x47, 0x99, 0xD5, 0xC7, 0xFC, 0xDC, 0x45, 0xB5, 0x9F, - 0xA3, 0xB9, 0xAB, 0x8F, 0x6A, 0x94, 0x8B, 0xC5, - /* p */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x01, - /* a */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFE, - /* b */ - 0xB4, 0x05, 0x0A, 0x85, 0x0C, 0x04, 0xB3, 0xAB, 0xF5, 0x41, 0x32, 0x56, - 0x50, 0x44, 0xB0, 0xB7, 0xD7, 0xBF, 0xD8, 0xBA, 0x27, 0x0B, 0x39, 0x43, - 0x23, 0x55, 0xFF, 0xB4, - /* x */ - 0xB7, 0x0E, 0x0C, 0xBD, 0x6B, 0xB4, 0xBF, 0x7F, 0x32, 0x13, 0x90, 0xB9, - 0x4A, 0x03, 0xC1, 0xD3, 0x56, 0xC2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xD6, - 0x11, 0x5C, 0x1D, 0x21, - /* y */ - 0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, 0xdf, 0xe6, - 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64, 0x44, 0xd5, 0x81, 0x99, - 0x85, 0x00, 0x7e, 0x34, - /* order */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0x16, 0xA2, 0xE0, 0xB8, 0xF0, 0x3E, 0x13, 0xDD, 0x29, 0x45, - 0x5C, 0x5C, 0x2A, 0x3D - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 48 * 6]; -} _EC_NIST_PRIME_384 = { - { - NID_X9_62_prime_field, 20, 48, 1 - }, - { - /* seed */ - 0xA3, 0x35, 0x92, 0x6A, 0xA3, 0x19, 0xA2, 0x7A, 0x1D, 0x00, 0x89, 0x6A, - 0x67, 0x73, 0xA4, 0x82, 0x7A, 0xCD, 0xAC, 0x73, - /* p */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, - /* a */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFC, - /* b */ - 0xB3, 0x31, 0x2F, 0xA7, 0xE2, 0x3E, 0xE7, 0xE4, 0x98, 0x8E, 0x05, 0x6B, - 0xE3, 0xF8, 0x2D, 0x19, 0x18, 0x1D, 0x9C, 0x6E, 0xFE, 0x81, 0x41, 0x12, - 0x03, 0x14, 0x08, 0x8F, 0x50, 0x13, 0x87, 0x5A, 0xC6, 0x56, 0x39, 0x8D, - 0x8A, 0x2E, 0xD1, 0x9D, 0x2A, 0x85, 0xC8, 0xED, 0xD3, 0xEC, 0x2A, 0xEF, - /* x */ - 0xAA, 0x87, 0xCA, 0x22, 0xBE, 0x8B, 0x05, 0x37, 0x8E, 0xB1, 0xC7, 0x1E, - 0xF3, 0x20, 0xAD, 0x74, 0x6E, 0x1D, 0x3B, 0x62, 0x8B, 0xA7, 0x9B, 0x98, - 0x59, 0xF7, 0x41, 0xE0, 0x82, 0x54, 0x2A, 0x38, 0x55, 0x02, 0xF2, 0x5D, - 0xBF, 0x55, 0x29, 0x6C, 0x3A, 0x54, 0x5E, 0x38, 0x72, 0x76, 0x0A, 0xB7, - /* y */ - 0x36, 0x17, 0xde, 0x4a, 0x96, 0x26, 0x2c, 0x6f, 0x5d, 0x9e, 0x98, 0xbf, - 0x92, 0x92, 0xdc, 0x29, 0xf8, 0xf4, 0x1d, 0xbd, 0x28, 0x9a, 0x14, 0x7c, - 0xe9, 0xda, 0x31, 0x13, 0xb5, 0xf0, 0xb8, 0xc0, 0x0a, 0x60, 0xb1, 0xce, - 0x1d, 0x7e, 0x81, 0x9d, 0x7a, 0x43, 0x1d, 0x7c, 0x90, 0xea, 0x0e, 0x5f, - /* order */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xC7, 0x63, 0x4D, 0x81, 0xF4, 0x37, 0x2D, 0xDF, 0x58, 0x1A, 0x0D, 0xB2, - 0x48, 0xB0, 0xA7, 0x7A, 0xEC, 0xEC, 0x19, 0x6A, 0xCC, 0xC5, 0x29, 0x73 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 66 * 6]; -} _EC_NIST_PRIME_521 = { - { - NID_X9_62_prime_field, 20, 66, 1 - }, - { - /* seed */ - 0xD0, 0x9E, 0x88, 0x00, 0x29, 0x1C, 0xB8, 0x53, 0x96, 0xCC, 0x67, 0x17, - 0x39, 0x32, 0x84, 0xAA, 0xA0, 0xDA, 0x64, 0xBA, - /* p */ - 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - /* a */ - 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, - /* b */ - 0x00, 0x51, 0x95, 0x3E, 0xB9, 0x61, 0x8E, 0x1C, 0x9A, 0x1F, 0x92, 0x9A, - 0x21, 0xA0, 0xB6, 0x85, 0x40, 0xEE, 0xA2, 0xDA, 0x72, 0x5B, 0x99, 0xB3, - 0x15, 0xF3, 0xB8, 0xB4, 0x89, 0x91, 0x8E, 0xF1, 0x09, 0xE1, 0x56, 0x19, - 0x39, 0x51, 0xEC, 0x7E, 0x93, 0x7B, 0x16, 0x52, 0xC0, 0xBD, 0x3B, 0xB1, - 0xBF, 0x07, 0x35, 0x73, 0xDF, 0x88, 0x3D, 0x2C, 0x34, 0xF1, 0xEF, 0x45, - 0x1F, 0xD4, 0x6B, 0x50, 0x3F, 0x00, - /* x */ - 0x00, 0xC6, 0x85, 0x8E, 0x06, 0xB7, 0x04, 0x04, 0xE9, 0xCD, 0x9E, 0x3E, - 0xCB, 0x66, 0x23, 0x95, 0xB4, 0x42, 0x9C, 0x64, 0x81, 0x39, 0x05, 0x3F, - 0xB5, 0x21, 0xF8, 0x28, 0xAF, 0x60, 0x6B, 0x4D, 0x3D, 0xBA, 0xA1, 0x4B, - 0x5E, 0x77, 0xEF, 0xE7, 0x59, 0x28, 0xFE, 0x1D, 0xC1, 0x27, 0xA2, 0xFF, - 0xA8, 0xDE, 0x33, 0x48, 0xB3, 0xC1, 0x85, 0x6A, 0x42, 0x9B, 0xF9, 0x7E, - 0x7E, 0x31, 0xC2, 0xE5, 0xBD, 0x66, - /* y */ - 0x01, 0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b, 0xc0, 0x04, 0x5c, 0x8a, - 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9, 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, - 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, 0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee, - 0x72, 0x99, 0x5e, 0xf4, 0x26, 0x40, 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, - 0x07, 0x61, 0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe, - 0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50, - /* order */ - 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFA, 0x51, 0x86, - 0x87, 0x83, 0xBF, 0x2F, 0x96, 0x6B, 0x7F, 0xCC, 0x01, 0x48, 0xF7, 0x09, - 0xA5, 0xD0, 0x3B, 0xB5, 0xC9, 0xB8, 0x89, 0x9C, 0x47, 0xAE, 0xBB, 0x6F, - 0xB7, 0x1E, 0x91, 0x38, 0x64, 0x09 - } -}; - -/* the x9.62 prime curves (minus the nist prime curves) */ -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 24 * 6]; -} _EC_X9_62_PRIME_192V2 = { - { - NID_X9_62_prime_field, 20, 24, 1 - }, - { - /* seed */ - 0x31, 0xA9, 0x2E, 0xE2, 0x02, 0x9F, 0xD1, 0x0D, 0x90, 0x1B, 0x11, 0x3E, - 0x99, 0x07, 0x10, 0xF0, 0xD2, 0x1A, 0xC6, 0xB6, - /* p */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - /* a */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, - /* b */ - 0xCC, 0x22, 0xD6, 0xDF, 0xB9, 0x5C, 0x6B, 0x25, 0xE4, 0x9C, 0x0D, 0x63, - 0x64, 0xA4, 0xE5, 0x98, 0x0C, 0x39, 0x3A, 0xA2, 0x16, 0x68, 0xD9, 0x53, - /* x */ - 0xEE, 0xA2, 0xBA, 0xE7, 0xE1, 0x49, 0x78, 0x42, 0xF2, 0xDE, 0x77, 0x69, - 0xCF, 0xE9, 0xC9, 0x89, 0xC0, 0x72, 0xAD, 0x69, 0x6F, 0x48, 0x03, 0x4A, - /* y */ - 0x65, 0x74, 0xd1, 0x1d, 0x69, 0xb6, 0xec, 0x7a, 0x67, 0x2b, 0xb8, 0x2a, - 0x08, 0x3d, 0xf2, 0xf2, 0xb0, 0x84, 0x7d, 0xe9, 0x70, 0xb2, 0xde, 0x15, - /* order */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, - 0x5F, 0xB1, 0xA7, 0x24, 0xDC, 0x80, 0x41, 0x86, 0x48, 0xD8, 0xDD, 0x31 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 24 * 6]; -} _EC_X9_62_PRIME_192V3 = { - { - NID_X9_62_prime_field, 20, 24, 1 - }, - { - /* seed */ - 0xC4, 0x69, 0x68, 0x44, 0x35, 0xDE, 0xB3, 0x78, 0xC4, 0xB6, 0x5C, 0xA9, - 0x59, 0x1E, 0x2A, 0x57, 0x63, 0x05, 0x9A, 0x2E, - /* p */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - /* a */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, - /* b */ - 0x22, 0x12, 0x3D, 0xC2, 0x39, 0x5A, 0x05, 0xCA, 0xA7, 0x42, 0x3D, 0xAE, - 0xCC, 0xC9, 0x47, 0x60, 0xA7, 0xD4, 0x62, 0x25, 0x6B, 0xD5, 0x69, 0x16, - /* x */ - 0x7D, 0x29, 0x77, 0x81, 0x00, 0xC6, 0x5A, 0x1D, 0xA1, 0x78, 0x37, 0x16, - 0x58, 0x8D, 0xCE, 0x2B, 0x8B, 0x4A, 0xEE, 0x8E, 0x22, 0x8F, 0x18, 0x96, - /* y */ - 0x38, 0xa9, 0x0f, 0x22, 0x63, 0x73, 0x37, 0x33, 0x4b, 0x49, 0xdc, 0xb6, - 0x6a, 0x6d, 0xc8, 0xf9, 0x97, 0x8a, 0xca, 0x76, 0x48, 0xa9, 0x43, 0xb0, - /* order */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0x7A, 0x62, 0xD0, 0x31, 0xC8, 0x3F, 0x42, 0x94, 0xF6, 0x40, 0xEC, 0x13 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 30 * 6]; -} _EC_X9_62_PRIME_239V1 = { - { - NID_X9_62_prime_field, 20, 30, 1 - }, - { - /* seed */ - 0xE4, 0x3B, 0xB4, 0x60, 0xF0, 0xB8, 0x0C, 0xC0, 0xC0, 0xB0, 0x75, 0x79, - 0x8E, 0x94, 0x80, 0x60, 0xF8, 0x32, 0x1B, 0x7D, - /* p */ - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - /* a */ - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, - /* b */ - 0x6B, 0x01, 0x6C, 0x3B, 0xDC, 0xF1, 0x89, 0x41, 0xD0, 0xD6, 0x54, 0x92, - 0x14, 0x75, 0xCA, 0x71, 0xA9, 0xDB, 0x2F, 0xB2, 0x7D, 0x1D, 0x37, 0x79, - 0x61, 0x85, 0xC2, 0x94, 0x2C, 0x0A, - /* x */ - 0x0F, 0xFA, 0x96, 0x3C, 0xDC, 0xA8, 0x81, 0x6C, 0xCC, 0x33, 0xB8, 0x64, - 0x2B, 0xED, 0xF9, 0x05, 0xC3, 0xD3, 0x58, 0x57, 0x3D, 0x3F, 0x27, 0xFB, - 0xBD, 0x3B, 0x3C, 0xB9, 0xAA, 0xAF, - /* y */ - 0x7d, 0xeb, 0xe8, 0xe4, 0xe9, 0x0a, 0x5d, 0xae, 0x6e, 0x40, 0x54, 0xca, - 0x53, 0x0b, 0xa0, 0x46, 0x54, 0xb3, 0x68, 0x18, 0xce, 0x22, 0x6b, 0x39, - 0xfc, 0xcb, 0x7b, 0x02, 0xf1, 0xae, - /* order */ - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0x7F, 0xFF, 0xFF, 0x9E, 0x5E, 0x9A, 0x9F, 0x5D, 0x90, 0x71, 0xFB, 0xD1, - 0x52, 0x26, 0x88, 0x90, 0x9D, 0x0B - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 30 * 6]; -} _EC_X9_62_PRIME_239V2 = { - { - NID_X9_62_prime_field, 20, 30, 1 - }, - { - /* seed */ - 0xE8, 0xB4, 0x01, 0x16, 0x04, 0x09, 0x53, 0x03, 0xCA, 0x3B, 0x80, 0x99, - 0x98, 0x2B, 0xE0, 0x9F, 0xCB, 0x9A, 0xE6, 0x16, - /* p */ - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - /* a */ - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, - /* b */ - 0x61, 0x7F, 0xAB, 0x68, 0x32, 0x57, 0x6C, 0xBB, 0xFE, 0xD5, 0x0D, 0x99, - 0xF0, 0x24, 0x9C, 0x3F, 0xEE, 0x58, 0xB9, 0x4B, 0xA0, 0x03, 0x8C, 0x7A, - 0xE8, 0x4C, 0x8C, 0x83, 0x2F, 0x2C, - /* x */ - 0x38, 0xAF, 0x09, 0xD9, 0x87, 0x27, 0x70, 0x51, 0x20, 0xC9, 0x21, 0xBB, - 0x5E, 0x9E, 0x26, 0x29, 0x6A, 0x3C, 0xDC, 0xF2, 0xF3, 0x57, 0x57, 0xA0, - 0xEA, 0xFD, 0x87, 0xB8, 0x30, 0xE7, - /* y */ - 0x5b, 0x01, 0x25, 0xe4, 0xdb, 0xea, 0x0e, 0xc7, 0x20, 0x6d, 0xa0, 0xfc, - 0x01, 0xd9, 0xb0, 0x81, 0x32, 0x9f, 0xb5, 0x55, 0xde, 0x6e, 0xf4, 0x60, - 0x23, 0x7d, 0xff, 0x8b, 0xe4, 0xba, - /* order */ - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0x80, 0x00, 0x00, 0xCF, 0xA7, 0xE8, 0x59, 0x43, 0x77, 0xD4, 0x14, 0xC0, - 0x38, 0x21, 0xBC, 0x58, 0x20, 0x63 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 30 * 6]; -} _EC_X9_62_PRIME_239V3 = { - { - NID_X9_62_prime_field, 20, 30, 1 - }, - { - /* seed */ - 0x7D, 0x73, 0x74, 0x16, 0x8F, 0xFE, 0x34, 0x71, 0xB6, 0x0A, 0x85, 0x76, - 0x86, 0xA1, 0x94, 0x75, 0xD3, 0xBF, 0xA2, 0xFF, - /* p */ - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - /* a */ - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, - /* b */ - 0x25, 0x57, 0x05, 0xFA, 0x2A, 0x30, 0x66, 0x54, 0xB1, 0xF4, 0xCB, 0x03, - 0xD6, 0xA7, 0x50, 0xA3, 0x0C, 0x25, 0x01, 0x02, 0xD4, 0x98, 0x87, 0x17, - 0xD9, 0xBA, 0x15, 0xAB, 0x6D, 0x3E, - /* x */ - 0x67, 0x68, 0xAE, 0x8E, 0x18, 0xBB, 0x92, 0xCF, 0xCF, 0x00, 0x5C, 0x94, - 0x9A, 0xA2, 0xC6, 0xD9, 0x48, 0x53, 0xD0, 0xE6, 0x60, 0xBB, 0xF8, 0x54, - 0xB1, 0xC9, 0x50, 0x5F, 0xE9, 0x5A, - /* y */ - 0x16, 0x07, 0xe6, 0x89, 0x8f, 0x39, 0x0c, 0x06, 0xbc, 0x1d, 0x55, 0x2b, - 0xad, 0x22, 0x6f, 0x3b, 0x6f, 0xcf, 0xe4, 0x8b, 0x6e, 0x81, 0x84, 0x99, - 0xaf, 0x18, 0xe3, 0xed, 0x6c, 0xf3, - /* order */ - 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0x7F, 0xFF, 0xFF, 0x97, 0x5D, 0xEB, 0x41, 0xB3, 0xA6, 0x05, 0x7C, 0x3C, - 0x43, 0x21, 0x46, 0x52, 0x65, 0x51 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 32 * 6]; -} _EC_X9_62_PRIME_256V1 = { - { - NID_X9_62_prime_field, 20, 32, 1 - }, - { - /* seed */ - 0xC4, 0x9D, 0x36, 0x08, 0x86, 0xE7, 0x04, 0x93, 0x6A, 0x66, 0x78, 0xE1, - 0x13, 0x9D, 0x26, 0xB7, 0x81, 0x9F, 0x7E, 0x90, - /* p */ - 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - /* a */ - 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, - /* b */ - 0x5A, 0xC6, 0x35, 0xD8, 0xAA, 0x3A, 0x93, 0xE7, 0xB3, 0xEB, 0xBD, 0x55, - 0x76, 0x98, 0x86, 0xBC, 0x65, 0x1D, 0x06, 0xB0, 0xCC, 0x53, 0xB0, 0xF6, - 0x3B, 0xCE, 0x3C, 0x3E, 0x27, 0xD2, 0x60, 0x4B, - /* x */ - 0x6B, 0x17, 0xD1, 0xF2, 0xE1, 0x2C, 0x42, 0x47, 0xF8, 0xBC, 0xE6, 0xE5, - 0x63, 0xA4, 0x40, 0xF2, 0x77, 0x03, 0x7D, 0x81, 0x2D, 0xEB, 0x33, 0xA0, - 0xF4, 0xA1, 0x39, 0x45, 0xD8, 0x98, 0xC2, 0x96, - /* y */ - 0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b, 0x8e, 0xe7, 0xeb, 0x4a, - 0x7c, 0x0f, 0x9e, 0x16, 0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce, - 0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5, - /* order */ - 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xBC, 0xE6, 0xFA, 0xAD, 0xA7, 0x17, 0x9E, 0x84, - 0xF3, 0xB9, 0xCA, 0xC2, 0xFC, 0x63, 0x25, 0x51 - } -}; - -/* the secg prime curves (minus the nist and x9.62 prime curves) */ -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 14 * 6]; -} _EC_SECG_PRIME_112R1 = { - { - NID_X9_62_prime_field, 20, 14, 1 - }, - { - /* seed */ - 0x00, 0xF5, 0x0B, 0x02, 0x8E, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, - 0x51, 0x75, 0x29, 0x04, 0x72, 0x78, 0x3F, 0xB1, - /* p */ - 0xDB, 0x7C, 0x2A, 0xBF, 0x62, 0xE3, 0x5E, 0x66, 0x80, 0x76, 0xBE, 0xAD, - 0x20, 0x8B, - /* a */ - 0xDB, 0x7C, 0x2A, 0xBF, 0x62, 0xE3, 0x5E, 0x66, 0x80, 0x76, 0xBE, 0xAD, - 0x20, 0x88, - /* b */ - 0x65, 0x9E, 0xF8, 0xBA, 0x04, 0x39, 0x16, 0xEE, 0xDE, 0x89, 0x11, 0x70, - 0x2B, 0x22, - /* x */ - 0x09, 0x48, 0x72, 0x39, 0x99, 0x5A, 0x5E, 0xE7, 0x6B, 0x55, 0xF9, 0xC2, - 0xF0, 0x98, - /* y */ - 0xa8, 0x9c, 0xe5, 0xaf, 0x87, 0x24, 0xc0, 0xa2, 0x3e, 0x0e, 0x0f, 0xf7, - 0x75, 0x00, - /* order */ - 0xDB, 0x7C, 0x2A, 0xBF, 0x62, 0xE3, 0x5E, 0x76, 0x28, 0xDF, 0xAC, 0x65, - 0x61, 0xC5 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 14 * 6]; -} _EC_SECG_PRIME_112R2 = { - { - NID_X9_62_prime_field, 20, 14, 4 - }, - { - /* seed */ - 0x00, 0x27, 0x57, 0xA1, 0x11, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, - 0x51, 0x75, 0x53, 0x16, 0xC0, 0x5E, 0x0B, 0xD4, - /* p */ - 0xDB, 0x7C, 0x2A, 0xBF, 0x62, 0xE3, 0x5E, 0x66, 0x80, 0x76, 0xBE, 0xAD, - 0x20, 0x8B, - /* a */ - 0x61, 0x27, 0xC2, 0x4C, 0x05, 0xF3, 0x8A, 0x0A, 0xAA, 0xF6, 0x5C, 0x0E, - 0xF0, 0x2C, - /* b */ - 0x51, 0xDE, 0xF1, 0x81, 0x5D, 0xB5, 0xED, 0x74, 0xFC, 0xC3, 0x4C, 0x85, - 0xD7, 0x09, - /* x */ - 0x4B, 0xA3, 0x0A, 0xB5, 0xE8, 0x92, 0xB4, 0xE1, 0x64, 0x9D, 0xD0, 0x92, - 0x86, 0x43, - /* y */ - 0xad, 0xcd, 0x46, 0xf5, 0x88, 0x2e, 0x37, 0x47, 0xde, 0xf3, 0x6e, 0x95, - 0x6e, 0x97, - /* order */ - 0x36, 0xDF, 0x0A, 0xAF, 0xD8, 0xB8, 0xD7, 0x59, 0x7C, 0xA1, 0x05, 0x20, - 0xD0, 0x4B - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 16 * 6]; -} _EC_SECG_PRIME_128R1 = { - { - NID_X9_62_prime_field, 20, 16, 1 - }, - { - /* seed */ - 0x00, 0x0E, 0x0D, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75, - 0x0C, 0xC0, 0x3A, 0x44, 0x73, 0xD0, 0x36, 0x79, - /* p */ - 0xFF, 0xFF, 0xFF, 0xFD, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, - /* a */ - 0xFF, 0xFF, 0xFF, 0xFD, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFC, - /* b */ - 0xE8, 0x75, 0x79, 0xC1, 0x10, 0x79, 0xF4, 0x3D, 0xD8, 0x24, 0x99, 0x3C, - 0x2C, 0xEE, 0x5E, 0xD3, - /* x */ - 0x16, 0x1F, 0xF7, 0x52, 0x8B, 0x89, 0x9B, 0x2D, 0x0C, 0x28, 0x60, 0x7C, - 0xA5, 0x2C, 0x5B, 0x86, - /* y */ - 0xcf, 0x5a, 0xc8, 0x39, 0x5b, 0xaf, 0xeb, 0x13, 0xc0, 0x2d, 0xa2, 0x92, - 0xdd, 0xed, 0x7a, 0x83, - /* order */ - 0xFF, 0xFF, 0xFF, 0xFE, 0x00, 0x00, 0x00, 0x00, 0x75, 0xA3, 0x0D, 0x1B, - 0x90, 0x38, 0xA1, 0x15 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 16 * 6]; -} _EC_SECG_PRIME_128R2 = { - { - NID_X9_62_prime_field, 20, 16, 4 - }, - { - /* seed */ - 0x00, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75, 0x12, 0xD8, - 0xF0, 0x34, 0x31, 0xFC, 0xE6, 0x3B, 0x88, 0xF4, - /* p */ - 0xFF, 0xFF, 0xFF, 0xFD, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, - /* a */ - 0xD6, 0x03, 0x19, 0x98, 0xD1, 0xB3, 0xBB, 0xFE, 0xBF, 0x59, 0xCC, 0x9B, - 0xBF, 0xF9, 0xAE, 0xE1, - /* b */ - 0x5E, 0xEE, 0xFC, 0xA3, 0x80, 0xD0, 0x29, 0x19, 0xDC, 0x2C, 0x65, 0x58, - 0xBB, 0x6D, 0x8A, 0x5D, - /* x */ - 0x7B, 0x6A, 0xA5, 0xD8, 0x5E, 0x57, 0x29, 0x83, 0xE6, 0xFB, 0x32, 0xA7, - 0xCD, 0xEB, 0xC1, 0x40, - /* y */ - 0x27, 0xb6, 0x91, 0x6a, 0x89, 0x4d, 0x3a, 0xee, 0x71, 0x06, 0xfe, 0x80, - 0x5f, 0xc3, 0x4b, 0x44, - /* order */ - 0x3F, 0xFF, 0xFF, 0xFF, 0x7F, 0xFF, 0xFF, 0xFF, 0xBE, 0x00, 0x24, 0x72, - 0x06, 0x13, 0xB5, 0xA3 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 21 * 6]; -} _EC_SECG_PRIME_160K1 = { - { - NID_X9_62_prime_field, 0, 21, 1 - }, - { - /* no seed */ - /* p */ - 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xAC, 0x73, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x07, - /* x */ - 0x00, 0x3B, 0x4C, 0x38, 0x2C, 0xE3, 0x7A, 0xA1, 0x92, 0xA4, 0x01, 0x9E, - 0x76, 0x30, 0x36, 0xF4, 0xF5, 0xDD, 0x4D, 0x7E, 0xBB, - /* y */ - 0x00, 0x93, 0x8c, 0xf9, 0x35, 0x31, 0x8f, 0xdc, 0xed, 0x6b, 0xc2, 0x82, - 0x86, 0x53, 0x17, 0x33, 0xc3, 0xf0, 0x3c, 0x4f, 0xee, - /* order */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xB8, - 0xFA, 0x16, 0xDF, 0xAB, 0x9A, 0xCA, 0x16, 0xB6, 0xB3 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 21 * 6]; -} _EC_SECG_PRIME_160R1 = { - { - NID_X9_62_prime_field, 20, 21, 1 - }, - { - /* seed */ - 0x10, 0x53, 0xCD, 0xE4, 0x2C, 0x14, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, - 0x15, 0x17, 0x53, 0x3B, 0xF3, 0xF8, 0x33, 0x45, - /* p */ - 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x7F, 0xFF, 0xFF, 0xFF, - /* a */ - 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x7F, 0xFF, 0xFF, 0xFC, - /* b */ - 0x00, 0x1C, 0x97, 0xBE, 0xFC, 0x54, 0xBD, 0x7A, 0x8B, 0x65, 0xAC, 0xF8, - 0x9F, 0x81, 0xD4, 0xD4, 0xAD, 0xC5, 0x65, 0xFA, 0x45, - /* x */ - 0x00, 0x4A, 0x96, 0xB5, 0x68, 0x8E, 0xF5, 0x73, 0x28, 0x46, 0x64, 0x69, - 0x89, 0x68, 0xC3, 0x8B, 0xB9, 0x13, 0xCB, 0xFC, 0x82, - /* y */ - 0x00, 0x23, 0xa6, 0x28, 0x55, 0x31, 0x68, 0x94, 0x7d, 0x59, 0xdc, 0xc9, - 0x12, 0x04, 0x23, 0x51, 0x37, 0x7a, 0xc5, 0xfb, 0x32, - /* order */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xF4, - 0xC8, 0xF9, 0x27, 0xAE, 0xD3, 0xCA, 0x75, 0x22, 0x57 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 21 * 6]; -} _EC_SECG_PRIME_160R2 = { - { - NID_X9_62_prime_field, 20, 21, 1 - }, - { - /* seed */ - 0xB9, 0x9B, 0x99, 0xB0, 0x99, 0xB3, 0x23, 0xE0, 0x27, 0x09, 0xA4, 0xD6, - 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x51, - /* p */ - 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xAC, 0x73, - /* a */ - 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xAC, 0x70, - /* b */ - 0x00, 0xB4, 0xE1, 0x34, 0xD3, 0xFB, 0x59, 0xEB, 0x8B, 0xAB, 0x57, 0x27, - 0x49, 0x04, 0x66, 0x4D, 0x5A, 0xF5, 0x03, 0x88, 0xBA, - /* x */ - 0x00, 0x52, 0xDC, 0xB0, 0x34, 0x29, 0x3A, 0x11, 0x7E, 0x1F, 0x4F, 0xF1, - 0x1B, 0x30, 0xF7, 0x19, 0x9D, 0x31, 0x44, 0xCE, 0x6D, - /* y */ - 0x00, 0xfe, 0xaf, 0xfe, 0xf2, 0xe3, 0x31, 0xf2, 0x96, 0xe0, 0x71, 0xfa, - 0x0d, 0xf9, 0x98, 0x2c, 0xfe, 0xa7, 0xd4, 0x3f, 0x2e, - /* order */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x35, - 0x1E, 0xE7, 0x86, 0xA8, 0x18, 0xF3, 0xA1, 0xA1, 0x6B - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 24 * 6]; -} _EC_SECG_PRIME_192K1 = { - { - NID_X9_62_prime_field, 0, 24, 1 - }, - { - /* no seed */ - /* p */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xEE, 0x37, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03, - /* x */ - 0xDB, 0x4F, 0xF1, 0x0E, 0xC0, 0x57, 0xE9, 0xAE, 0x26, 0xB0, 0x7D, 0x02, - 0x80, 0xB7, 0xF4, 0x34, 0x1D, 0xA5, 0xD1, 0xB1, 0xEA, 0xE0, 0x6C, 0x7D, - /* y */ - 0x9b, 0x2f, 0x2f, 0x6d, 0x9c, 0x56, 0x28, 0xa7, 0x84, 0x41, 0x63, 0xd0, - 0x15, 0xbe, 0x86, 0x34, 0x40, 0x82, 0xaa, 0x88, 0xd9, 0x5e, 0x2f, 0x9d, - /* order */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, - 0x26, 0xF2, 0xFC, 0x17, 0x0F, 0x69, 0x46, 0x6A, 0x74, 0xDE, 0xFD, 0x8D - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 29 * 6]; -} _EC_SECG_PRIME_224K1 = { - { - NID_X9_62_prime_field, 0, 29, 1 - }, - { - /* no seed */ - /* p */ - 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFE, 0xFF, 0xFF, 0xE5, 0x6D, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x05, - /* x */ - 0x00, 0xA1, 0x45, 0x5B, 0x33, 0x4D, 0xF0, 0x99, 0xDF, 0x30, 0xFC, 0x28, - 0xA1, 0x69, 0xA4, 0x67, 0xE9, 0xE4, 0x70, 0x75, 0xA9, 0x0F, 0x7E, 0x65, - 0x0E, 0xB6, 0xB7, 0xA4, 0x5C, - /* y */ - 0x00, 0x7e, 0x08, 0x9f, 0xed, 0x7f, 0xba, 0x34, 0x42, 0x82, 0xca, 0xfb, - 0xd6, 0xf7, 0xe3, 0x19, 0xf7, 0xc0, 0xb0, 0xbd, 0x59, 0xe2, 0xca, 0x4b, - 0xdb, 0x55, 0x6d, 0x61, 0xa5, - /* order */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x01, 0xDC, 0xE8, 0xD2, 0xEC, 0x61, 0x84, 0xCA, 0xF0, 0xA9, - 0x71, 0x76, 0x9F, 0xB1, 0xF7 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 32 * 6]; -} _EC_SECG_PRIME_256K1 = { - { - NID_X9_62_prime_field, 0, 32, 1 - }, - { - /* no seed */ - /* p */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x2F, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x07, - /* x */ - 0x79, 0xBE, 0x66, 0x7E, 0xF9, 0xDC, 0xBB, 0xAC, 0x55, 0xA0, 0x62, 0x95, - 0xCE, 0x87, 0x0B, 0x07, 0x02, 0x9B, 0xFC, 0xDB, 0x2D, 0xCE, 0x28, 0xD9, - 0x59, 0xF2, 0x81, 0x5B, 0x16, 0xF8, 0x17, 0x98, - /* y */ - 0x48, 0x3a, 0xda, 0x77, 0x26, 0xa3, 0xc4, 0x65, 0x5d, 0xa4, 0xfb, 0xfc, - 0x0e, 0x11, 0x08, 0xa8, 0xfd, 0x17, 0xb4, 0x48, 0xa6, 0x85, 0x54, 0x19, - 0x9c, 0x47, 0xd0, 0x8f, 0xfb, 0x10, 0xd4, 0xb8, - /* order */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, - 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41 - } -}; - -/* some wap/wtls curves */ -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 15 * 6]; -} _EC_WTLS_8 = { - { - NID_X9_62_prime_field, 0, 15, 1 - }, - { - /* no seed */ - /* p */ - 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFD, 0xE7, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x03, - /* x */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x01, - /* y */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x02, - /* order */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xEC, 0xEA, 0x55, 0x1A, - 0xD8, 0x37, 0xE9 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 21 * 6]; -} _EC_WTLS_9 = { - { - NID_X9_62_prime_field, 0, 21, 1 - }, - { - /* no seed */ - /* p */ - 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFC, 0x80, 0x8F, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x03, - /* x */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* y */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, - /* order */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xCD, - 0xC9, 0x8A, 0xE0, 0xE2, 0xDE, 0x57, 0x4A, 0xBF, 0x33 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 28 * 6]; -} _EC_WTLS_12 = { - { - NID_X9_62_prime_field, 0, 28, 1 - }, - { - /* no seed */ - /* p */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x01, - /* a */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFE, - /* b */ - 0xB4, 0x05, 0x0A, 0x85, 0x0C, 0x04, 0xB3, 0xAB, 0xF5, 0x41, 0x32, 0x56, - 0x50, 0x44, 0xB0, 0xB7, 0xD7, 0xBF, 0xD8, 0xBA, 0x27, 0x0B, 0x39, 0x43, - 0x23, 0x55, 0xFF, 0xB4, - /* x */ - 0xB7, 0x0E, 0x0C, 0xBD, 0x6B, 0xB4, 0xBF, 0x7F, 0x32, 0x13, 0x90, 0xB9, - 0x4A, 0x03, 0xC1, 0xD3, 0x56, 0xC2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xD6, - 0x11, 0x5C, 0x1D, 0x21, - /* y */ - 0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, 0xdf, 0xe6, - 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64, 0x44, 0xd5, 0x81, 0x99, - 0x85, 0x00, 0x7e, 0x34, - /* order */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0x16, 0xA2, 0xE0, 0xB8, 0xF0, 0x3E, 0x13, 0xDD, 0x29, 0x45, - 0x5C, 0x5C, 0x2A, 0x3D - } -}; - -#ifndef OPENSSL_NO_EC2M - -/* characteristic two curves */ -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 15 * 6]; -} _EC_SECG_CHAR2_113R1 = { - { - NID_X9_62_characteristic_two_field, 20, 15, 2 - }, - { - /* seed */ - 0x10, 0xE7, 0x23, 0xAB, 0x14, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, - 0x17, 0x56, 0xFE, 0xBF, 0x8F, 0xCB, 0x49, 0xA9, - /* p */ - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x02, 0x01, - /* a */ - 0x00, 0x30, 0x88, 0x25, 0x0C, 0xA6, 0xE7, 0xC7, 0xFE, 0x64, 0x9C, 0xE8, - 0x58, 0x20, 0xF7, - /* b */ - 0x00, 0xE8, 0xBE, 0xE4, 0xD3, 0xE2, 0x26, 0x07, 0x44, 0x18, 0x8B, 0xE0, - 0xE9, 0xC7, 0x23, - /* x */ - 0x00, 0x9D, 0x73, 0x61, 0x6F, 0x35, 0xF4, 0xAB, 0x14, 0x07, 0xD7, 0x35, - 0x62, 0xC1, 0x0F, - /* y */ - 0x00, 0xA5, 0x28, 0x30, 0x27, 0x79, 0x58, 0xEE, 0x84, 0xD1, 0x31, 0x5E, - 0xD3, 0x18, 0x86, - /* order */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xD9, 0xCC, 0xEC, 0x8A, - 0x39, 0xE5, 0x6F - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 15 * 6]; -} _EC_SECG_CHAR2_113R2 = { - { - NID_X9_62_characteristic_two_field, 20, 15, 2 - }, - { - /* seed */ - 0x10, 0xC0, 0xFB, 0x15, 0x76, 0x08, 0x60, 0xDE, 0xF1, 0xEE, 0xF4, 0xD6, - 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x5D, - /* p */ - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x02, 0x01, - /* a */ - 0x00, 0x68, 0x99, 0x18, 0xDB, 0xEC, 0x7E, 0x5A, 0x0D, 0xD6, 0xDF, 0xC0, - 0xAA, 0x55, 0xC7, - /* b */ - 0x00, 0x95, 0xE9, 0xA9, 0xEC, 0x9B, 0x29, 0x7B, 0xD4, 0xBF, 0x36, 0xE0, - 0x59, 0x18, 0x4F, - /* x */ - 0x01, 0xA5, 0x7A, 0x6A, 0x7B, 0x26, 0xCA, 0x5E, 0xF5, 0x2F, 0xCD, 0xB8, - 0x16, 0x47, 0x97, - /* y */ - 0x00, 0xB3, 0xAD, 0xC9, 0x4E, 0xD1, 0xFE, 0x67, 0x4C, 0x06, 0xE6, 0x95, - 0xBA, 0xBA, 0x1D, - /* order */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x08, 0x78, 0x9B, 0x24, - 0x96, 0xAF, 0x93 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 17 * 6]; -} _EC_SECG_CHAR2_131R1 = { - { - NID_X9_62_characteristic_two_field, 20, 17, 2 - }, - { - /* seed */ - 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75, 0x98, 0x5B, 0xD3, - 0xAD, 0xBA, 0xDA, 0x21, 0xB4, 0x3A, 0x97, 0xE2, - /* p */ - 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x01, 0x0D, - /* a */ - 0x07, 0xA1, 0x1B, 0x09, 0xA7, 0x6B, 0x56, 0x21, 0x44, 0x41, 0x8F, 0xF3, - 0xFF, 0x8C, 0x25, 0x70, 0xB8, - /* b */ - 0x02, 0x17, 0xC0, 0x56, 0x10, 0x88, 0x4B, 0x63, 0xB9, 0xC6, 0xC7, 0x29, - 0x16, 0x78, 0xF9, 0xD3, 0x41, - /* x */ - 0x00, 0x81, 0xBA, 0xF9, 0x1F, 0xDF, 0x98, 0x33, 0xC4, 0x0F, 0x9C, 0x18, - 0x13, 0x43, 0x63, 0x83, 0x99, - /* y */ - 0x07, 0x8C, 0x6E, 0x7E, 0xA3, 0x8C, 0x00, 0x1F, 0x73, 0xC8, 0x13, 0x4B, - 0x1B, 0x4E, 0xF9, 0xE1, 0x50, - /* order */ - 0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x31, 0x23, 0x95, - 0x3A, 0x94, 0x64, 0xB5, 0x4D - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 17 * 6]; -} _EC_SECG_CHAR2_131R2 = { - { - NID_X9_62_characteristic_two_field, 20, 17, 2 - }, - { - /* seed */ - 0x98, 0x5B, 0xD3, 0xAD, 0xBA, 0xD4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, - 0x15, 0x17, 0x5A, 0x21, 0xB4, 0x3A, 0x97, 0xE3, - /* p */ - 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x01, 0x0D, - /* a */ - 0x03, 0xE5, 0xA8, 0x89, 0x19, 0xD7, 0xCA, 0xFC, 0xBF, 0x41, 0x5F, 0x07, - 0xC2, 0x17, 0x65, 0x73, 0xB2, - /* b */ - 0x04, 0xB8, 0x26, 0x6A, 0x46, 0xC5, 0x56, 0x57, 0xAC, 0x73, 0x4C, 0xE3, - 0x8F, 0x01, 0x8F, 0x21, 0x92, - /* x */ - 0x03, 0x56, 0xDC, 0xD8, 0xF2, 0xF9, 0x50, 0x31, 0xAD, 0x65, 0x2D, 0x23, - 0x95, 0x1B, 0xB3, 0x66, 0xA8, - /* y */ - 0x06, 0x48, 0xF0, 0x6D, 0x86, 0x79, 0x40, 0xA5, 0x36, 0x6D, 0x9E, 0x26, - 0x5D, 0xE9, 0xEB, 0x24, 0x0F, - /* order */ - 0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x69, 0x54, 0xA2, - 0x33, 0x04, 0x9B, 0xA9, 0x8F - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 21 * 6]; -} _EC_NIST_CHAR2_163K = { - { - NID_X9_62_characteristic_two_field, 0, 21, 2 - }, - { - /* no seed */ - /* p */ - 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xC9, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* x */ - 0x02, 0xFE, 0x13, 0xC0, 0x53, 0x7B, 0xBC, 0x11, 0xAC, 0xAA, 0x07, 0xD7, - 0x93, 0xDE, 0x4E, 0x6D, 0x5E, 0x5C, 0x94, 0xEE, 0xE8, - /* y */ - 0x02, 0x89, 0x07, 0x0F, 0xB0, 0x5D, 0x38, 0xFF, 0x58, 0x32, 0x1F, 0x2E, - 0x80, 0x05, 0x36, 0xD5, 0x38, 0xCC, 0xDA, 0xA3, 0xD9, - /* order */ - 0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x01, - 0x08, 0xA2, 0xE0, 0xCC, 0x0D, 0x99, 0xF8, 0xA5, 0xEF - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 21 * 6]; -} _EC_SECG_CHAR2_163R1 = { - { - NID_X9_62_characteristic_two_field, 0, 21, 2 - }, - { - /* no seed */ -# if 0 - /* - * The algorithm used to derive the curve parameters from the seed - * used here is slightly different than the algorithm described in - * X9.62 . - */ - 0x24, 0xB7, 0xB1, 0x37, 0xC8, 0xA1, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, - 0x61, 0x51, 0x75, 0x6F, 0xD0, 0xDA, 0x2E, 0x5C, -# endif - /* p */ - 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xC9, - /* a */ - 0x07, 0xB6, 0x88, 0x2C, 0xAA, 0xEF, 0xA8, 0x4F, 0x95, 0x54, 0xFF, 0x84, - 0x28, 0xBD, 0x88, 0xE2, 0x46, 0xD2, 0x78, 0x2A, 0xE2, - /* b */ - 0x07, 0x13, 0x61, 0x2D, 0xCD, 0xDC, 0xB4, 0x0A, 0xAB, 0x94, 0x6B, 0xDA, - 0x29, 0xCA, 0x91, 0xF7, 0x3A, 0xF9, 0x58, 0xAF, 0xD9, - /* x */ - 0x03, 0x69, 0x97, 0x96, 0x97, 0xAB, 0x43, 0x89, 0x77, 0x89, 0x56, 0x67, - 0x89, 0x56, 0x7F, 0x78, 0x7A, 0x78, 0x76, 0xA6, 0x54, - /* y */ - 0x00, 0x43, 0x5E, 0xDB, 0x42, 0xEF, 0xAF, 0xB2, 0x98, 0x9D, 0x51, 0xFE, - 0xFC, 0xE3, 0xC8, 0x09, 0x88, 0xF4, 0x1F, 0xF8, 0x83, - /* order */ - 0x03, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x48, - 0xAA, 0xB6, 0x89, 0xC2, 0x9C, 0xA7, 0x10, 0x27, 0x9B - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 21 * 6]; -} _EC_NIST_CHAR2_163B = { - { - NID_X9_62_characteristic_two_field, 0, 21, 2 - }, - { - /* no seed */ -# if 0 - /* - * The seed here was used to created the curve parameters in normal - * basis representation (and not the polynomial representation used - * here) - */ - 0x85, 0xE2, 0x5B, 0xFE, 0x5C, 0x86, 0x22, 0x6C, 0xDB, 0x12, 0x01, 0x6F, - 0x75, 0x53, 0xF9, 0xD0, 0xE6, 0x93, 0xA2, 0x68, -# endif - /* p */ - 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xC9, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* b */ - 0x02, 0x0A, 0x60, 0x19, 0x07, 0xB8, 0xC9, 0x53, 0xCA, 0x14, 0x81, 0xEB, - 0x10, 0x51, 0x2F, 0x78, 0x74, 0x4A, 0x32, 0x05, 0xFD, - /* x */ - 0x03, 0xF0, 0xEB, 0xA1, 0x62, 0x86, 0xA2, 0xD5, 0x7E, 0xA0, 0x99, 0x11, - 0x68, 0xD4, 0x99, 0x46, 0x37, 0xE8, 0x34, 0x3E, 0x36, - /* y */ - 0x00, 0xD5, 0x1F, 0xBC, 0x6C, 0x71, 0xA0, 0x09, 0x4F, 0xA2, 0xCD, 0xD5, - 0x45, 0xB1, 0x1C, 0x5C, 0x0C, 0x79, 0x73, 0x24, 0xF1, - /* order */ - 0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x92, - 0xFE, 0x77, 0xE7, 0x0C, 0x12, 0xA4, 0x23, 0x4C, 0x33 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 25 * 6]; -} _EC_SECG_CHAR2_193R1 = { - { - NID_X9_62_characteristic_two_field, 20, 25, 2 - }, - { - /* seed */ - 0x10, 0x3F, 0xAE, 0xC7, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, - 0x75, 0x77, 0x7F, 0xC5, 0xB1, 0x91, 0xEF, 0x30, - /* p */ - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, - 0x01, - /* a */ - 0x00, 0x17, 0x85, 0x8F, 0xEB, 0x7A, 0x98, 0x97, 0x51, 0x69, 0xE1, 0x71, - 0xF7, 0x7B, 0x40, 0x87, 0xDE, 0x09, 0x8A, 0xC8, 0xA9, 0x11, 0xDF, 0x7B, - 0x01, - /* b */ - 0x00, 0xFD, 0xFB, 0x49, 0xBF, 0xE6, 0xC3, 0xA8, 0x9F, 0xAC, 0xAD, 0xAA, - 0x7A, 0x1E, 0x5B, 0xBC, 0x7C, 0xC1, 0xC2, 0xE5, 0xD8, 0x31, 0x47, 0x88, - 0x14, - /* x */ - 0x01, 0xF4, 0x81, 0xBC, 0x5F, 0x0F, 0xF8, 0x4A, 0x74, 0xAD, 0x6C, 0xDF, - 0x6F, 0xDE, 0xF4, 0xBF, 0x61, 0x79, 0x62, 0x53, 0x72, 0xD8, 0xC0, 0xC5, - 0xE1, - /* y */ - 0x00, 0x25, 0xE3, 0x99, 0xF2, 0x90, 0x37, 0x12, 0xCC, 0xF3, 0xEA, 0x9E, - 0x3A, 0x1A, 0xD1, 0x7F, 0xB0, 0xB3, 0x20, 0x1B, 0x6A, 0xF7, 0xCE, 0x1B, - 0x05, - /* order */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0xC7, 0xF3, 0x4A, 0x77, 0x8F, 0x44, 0x3A, 0xCC, 0x92, 0x0E, 0xBA, - 0x49 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 25 * 6]; -} _EC_SECG_CHAR2_193R2 = { - { - NID_X9_62_characteristic_two_field, 20, 25, 2 - }, - { - /* seed */ - 0x10, 0xB7, 0xB4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x51, - 0x37, 0xC8, 0xA1, 0x6F, 0xD0, 0xDA, 0x22, 0x11, - /* p */ - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, - 0x01, - /* a */ - 0x01, 0x63, 0xF3, 0x5A, 0x51, 0x37, 0xC2, 0xCE, 0x3E, 0xA6, 0xED, 0x86, - 0x67, 0x19, 0x0B, 0x0B, 0xC4, 0x3E, 0xCD, 0x69, 0x97, 0x77, 0x02, 0x70, - 0x9B, - /* b */ - 0x00, 0xC9, 0xBB, 0x9E, 0x89, 0x27, 0xD4, 0xD6, 0x4C, 0x37, 0x7E, 0x2A, - 0xB2, 0x85, 0x6A, 0x5B, 0x16, 0xE3, 0xEF, 0xB7, 0xF6, 0x1D, 0x43, 0x16, - 0xAE, - /* x */ - 0x00, 0xD9, 0xB6, 0x7D, 0x19, 0x2E, 0x03, 0x67, 0xC8, 0x03, 0xF3, 0x9E, - 0x1A, 0x7E, 0x82, 0xCA, 0x14, 0xA6, 0x51, 0x35, 0x0A, 0xAE, 0x61, 0x7E, - 0x8F, - /* y */ - 0x01, 0xCE, 0x94, 0x33, 0x56, 0x07, 0xC3, 0x04, 0xAC, 0x29, 0xE7, 0xDE, - 0xFB, 0xD9, 0xCA, 0x01, 0xF5, 0x96, 0xF9, 0x27, 0x22, 0x4C, 0xDE, 0xCF, - 0x6C, - /* order */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x01, 0x5A, 0xAB, 0x56, 0x1B, 0x00, 0x54, 0x13, 0xCC, 0xD4, 0xEE, 0x99, - 0xD5 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 30 * 6]; -} _EC_NIST_CHAR2_233K = { - { - NID_X9_62_characteristic_two_field, 0, 30, 4 - }, - { - /* no seed */ - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* x */ - 0x01, 0x72, 0x32, 0xBA, 0x85, 0x3A, 0x7E, 0x73, 0x1A, 0xF1, 0x29, 0xF2, - 0x2F, 0xF4, 0x14, 0x95, 0x63, 0xA4, 0x19, 0xC2, 0x6B, 0xF5, 0x0A, 0x4C, - 0x9D, 0x6E, 0xEF, 0xAD, 0x61, 0x26, - /* y */ - 0x01, 0xDB, 0x53, 0x7D, 0xEC, 0xE8, 0x19, 0xB7, 0xF7, 0x0F, 0x55, 0x5A, - 0x67, 0xC4, 0x27, 0xA8, 0xCD, 0x9B, 0xF1, 0x8A, 0xEB, 0x9B, 0x56, 0xE0, - 0xC1, 0x10, 0x56, 0xFA, 0xE6, 0xA3, - /* order */ - 0x00, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x06, 0x9D, 0x5B, 0xB9, 0x15, 0xBC, 0xD4, 0x6E, 0xFB, - 0x1A, 0xD5, 0xF1, 0x73, 0xAB, 0xDF - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 30 * 6]; -} _EC_NIST_CHAR2_233B = { - { - NID_X9_62_characteristic_two_field, 20, 30, 2 - }, - { - /* seed */ - 0x74, 0xD5, 0x9F, 0xF0, 0x7F, 0x6B, 0x41, 0x3D, 0x0E, 0xA1, 0x4B, 0x34, - 0x4B, 0x20, 0xA2, 0xDB, 0x04, 0x9B, 0x50, 0xC3, - /* p */ - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* b */ - 0x00, 0x66, 0x64, 0x7E, 0xDE, 0x6C, 0x33, 0x2C, 0x7F, 0x8C, 0x09, 0x23, - 0xBB, 0x58, 0x21, 0x3B, 0x33, 0x3B, 0x20, 0xE9, 0xCE, 0x42, 0x81, 0xFE, - 0x11, 0x5F, 0x7D, 0x8F, 0x90, 0xAD, - /* x */ - 0x00, 0xFA, 0xC9, 0xDF, 0xCB, 0xAC, 0x83, 0x13, 0xBB, 0x21, 0x39, 0xF1, - 0xBB, 0x75, 0x5F, 0xEF, 0x65, 0xBC, 0x39, 0x1F, 0x8B, 0x36, 0xF8, 0xF8, - 0xEB, 0x73, 0x71, 0xFD, 0x55, 0x8B, - /* y */ - 0x01, 0x00, 0x6A, 0x08, 0xA4, 0x19, 0x03, 0x35, 0x06, 0x78, 0xE5, 0x85, - 0x28, 0xBE, 0xBF, 0x8A, 0x0B, 0xEF, 0xF8, 0x67, 0xA7, 0xCA, 0x36, 0x71, - 0x6F, 0x7E, 0x01, 0xF8, 0x10, 0x52, - /* order */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x13, 0xE9, 0x74, 0xE7, 0x2F, 0x8A, 0x69, 0x22, 0x03, - 0x1D, 0x26, 0x03, 0xCF, 0xE0, 0xD7 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 30 * 6]; -} _EC_SECG_CHAR2_239K1 = { - { - NID_X9_62_characteristic_two_field, 0, 30, 4 - }, - { - /* no seed */ - 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x40, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* x */ - 0x29, 0xA0, 0xB6, 0xA8, 0x87, 0xA9, 0x83, 0xE9, 0x73, 0x09, 0x88, 0xA6, - 0x87, 0x27, 0xA8, 0xB2, 0xD1, 0x26, 0xC4, 0x4C, 0xC2, 0xCC, 0x7B, 0x2A, - 0x65, 0x55, 0x19, 0x30, 0x35, 0xDC, - /* y */ - 0x76, 0x31, 0x08, 0x04, 0xF1, 0x2E, 0x54, 0x9B, 0xDB, 0x01, 0x1C, 0x10, - 0x30, 0x89, 0xE7, 0x35, 0x10, 0xAC, 0xB2, 0x75, 0xFC, 0x31, 0x2A, 0x5D, - 0xC6, 0xB7, 0x65, 0x53, 0xF0, 0xCA, - /* order */ - 0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x5A, 0x79, 0xFE, 0xC6, 0x7C, 0xB6, 0xE9, 0x1F, 0x1C, - 0x1D, 0xA8, 0x00, 0xE4, 0x78, 0xA5 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 36 * 6]; -} _EC_NIST_CHAR2_283K = { - { - NID_X9_62_characteristic_two_field, 0, 36, 4 - }, - { - /* no seed */ - 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10, 0xA1, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* x */ - 0x05, 0x03, 0x21, 0x3F, 0x78, 0xCA, 0x44, 0x88, 0x3F, 0x1A, 0x3B, 0x81, - 0x62, 0xF1, 0x88, 0xE5, 0x53, 0xCD, 0x26, 0x5F, 0x23, 0xC1, 0x56, 0x7A, - 0x16, 0x87, 0x69, 0x13, 0xB0, 0xC2, 0xAC, 0x24, 0x58, 0x49, 0x28, 0x36, - /* y */ - 0x01, 0xCC, 0xDA, 0x38, 0x0F, 0x1C, 0x9E, 0x31, 0x8D, 0x90, 0xF9, 0x5D, - 0x07, 0xE5, 0x42, 0x6F, 0xE8, 0x7E, 0x45, 0xC0, 0xE8, 0x18, 0x46, 0x98, - 0xE4, 0x59, 0x62, 0x36, 0x4E, 0x34, 0x11, 0x61, 0x77, 0xDD, 0x22, 0x59, - /* order */ - 0x01, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xE9, 0xAE, 0x2E, 0xD0, 0x75, 0x77, - 0x26, 0x5D, 0xFF, 0x7F, 0x94, 0x45, 0x1E, 0x06, 0x1E, 0x16, 0x3C, 0x61 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 36 * 6]; -} _EC_NIST_CHAR2_283B = { - { - NID_X9_62_characteristic_two_field, 20, 36, 2 - }, - { - /* no seed */ - 0x77, 0xE2, 0xB0, 0x73, 0x70, 0xEB, 0x0F, 0x83, 0x2A, 0x6D, 0xD5, 0xB6, - 0x2D, 0xFC, 0x88, 0xCD, 0x06, 0xBB, 0x84, 0xBE, - /* p */ - 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x10, 0xA1, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* b */ - 0x02, 0x7B, 0x68, 0x0A, 0xC8, 0xB8, 0x59, 0x6D, 0xA5, 0xA4, 0xAF, 0x8A, - 0x19, 0xA0, 0x30, 0x3F, 0xCA, 0x97, 0xFD, 0x76, 0x45, 0x30, 0x9F, 0xA2, - 0xA5, 0x81, 0x48, 0x5A, 0xF6, 0x26, 0x3E, 0x31, 0x3B, 0x79, 0xA2, 0xF5, - /* x */ - 0x05, 0xF9, 0x39, 0x25, 0x8D, 0xB7, 0xDD, 0x90, 0xE1, 0x93, 0x4F, 0x8C, - 0x70, 0xB0, 0xDF, 0xEC, 0x2E, 0xED, 0x25, 0xB8, 0x55, 0x7E, 0xAC, 0x9C, - 0x80, 0xE2, 0xE1, 0x98, 0xF8, 0xCD, 0xBE, 0xCD, 0x86, 0xB1, 0x20, 0x53, - /* y */ - 0x03, 0x67, 0x68, 0x54, 0xFE, 0x24, 0x14, 0x1C, 0xB9, 0x8F, 0xE6, 0xD4, - 0xB2, 0x0D, 0x02, 0xB4, 0x51, 0x6F, 0xF7, 0x02, 0x35, 0x0E, 0xDD, 0xB0, - 0x82, 0x67, 0x79, 0xC8, 0x13, 0xF0, 0xDF, 0x45, 0xBE, 0x81, 0x12, 0xF4, - /* order */ - 0x03, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xEF, 0x90, 0x39, 0x96, 0x60, 0xFC, - 0x93, 0x8A, 0x90, 0x16, 0x5B, 0x04, 0x2A, 0x7C, 0xEF, 0xAD, 0xB3, 0x07 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 52 * 6]; -} _EC_NIST_CHAR2_409K = { - { - NID_X9_62_characteristic_two_field, 0, 52, 4 - }, - { - /* no seed */ - /* p */ - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x01, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x01, - /* x */ - 0x00, 0x60, 0xF0, 0x5F, 0x65, 0x8F, 0x49, 0xC1, 0xAD, 0x3A, 0xB1, 0x89, - 0x0F, 0x71, 0x84, 0x21, 0x0E, 0xFD, 0x09, 0x87, 0xE3, 0x07, 0xC8, 0x4C, - 0x27, 0xAC, 0xCF, 0xB8, 0xF9, 0xF6, 0x7C, 0xC2, 0xC4, 0x60, 0x18, 0x9E, - 0xB5, 0xAA, 0xAA, 0x62, 0xEE, 0x22, 0x2E, 0xB1, 0xB3, 0x55, 0x40, 0xCF, - 0xE9, 0x02, 0x37, 0x46, - /* y */ - 0x01, 0xE3, 0x69, 0x05, 0x0B, 0x7C, 0x4E, 0x42, 0xAC, 0xBA, 0x1D, 0xAC, - 0xBF, 0x04, 0x29, 0x9C, 0x34, 0x60, 0x78, 0x2F, 0x91, 0x8E, 0xA4, 0x27, - 0xE6, 0x32, 0x51, 0x65, 0xE9, 0xEA, 0x10, 0xE3, 0xDA, 0x5F, 0x6C, 0x42, - 0xE9, 0xC5, 0x52, 0x15, 0xAA, 0x9C, 0xA2, 0x7A, 0x58, 0x63, 0xEC, 0x48, - 0xD8, 0xE0, 0x28, 0x6B, - /* order */ - 0x00, 0x7F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFE, 0x5F, 0x83, 0xB2, 0xD4, 0xEA, 0x20, 0x40, 0x0E, 0xC4, - 0x55, 0x7D, 0x5E, 0xD3, 0xE3, 0xE7, 0xCA, 0x5B, 0x4B, 0x5C, 0x83, 0xB8, - 0xE0, 0x1E, 0x5F, 0xCF - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 52 * 6]; -} _EC_NIST_CHAR2_409B = { - { - NID_X9_62_characteristic_two_field, 20, 52, 2 - }, - { - /* seed */ - 0x40, 0x99, 0xB5, 0xA4, 0x57, 0xF9, 0xD6, 0x9F, 0x79, 0x21, 0x3D, 0x09, - 0x4C, 0x4B, 0xCD, 0x4D, 0x42, 0x62, 0x21, 0x0B, - /* p */ - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x01, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x01, - /* b */ - 0x00, 0x21, 0xA5, 0xC2, 0xC8, 0xEE, 0x9F, 0xEB, 0x5C, 0x4B, 0x9A, 0x75, - 0x3B, 0x7B, 0x47, 0x6B, 0x7F, 0xD6, 0x42, 0x2E, 0xF1, 0xF3, 0xDD, 0x67, - 0x47, 0x61, 0xFA, 0x99, 0xD6, 0xAC, 0x27, 0xC8, 0xA9, 0xA1, 0x97, 0xB2, - 0x72, 0x82, 0x2F, 0x6C, 0xD5, 0x7A, 0x55, 0xAA, 0x4F, 0x50, 0xAE, 0x31, - 0x7B, 0x13, 0x54, 0x5F, - /* x */ - 0x01, 0x5D, 0x48, 0x60, 0xD0, 0x88, 0xDD, 0xB3, 0x49, 0x6B, 0x0C, 0x60, - 0x64, 0x75, 0x62, 0x60, 0x44, 0x1C, 0xDE, 0x4A, 0xF1, 0x77, 0x1D, 0x4D, - 0xB0, 0x1F, 0xFE, 0x5B, 0x34, 0xE5, 0x97, 0x03, 0xDC, 0x25, 0x5A, 0x86, - 0x8A, 0x11, 0x80, 0x51, 0x56, 0x03, 0xAE, 0xAB, 0x60, 0x79, 0x4E, 0x54, - 0xBB, 0x79, 0x96, 0xA7, - /* y */ - 0x00, 0x61, 0xB1, 0xCF, 0xAB, 0x6B, 0xE5, 0xF3, 0x2B, 0xBF, 0xA7, 0x83, - 0x24, 0xED, 0x10, 0x6A, 0x76, 0x36, 0xB9, 0xC5, 0xA7, 0xBD, 0x19, 0x8D, - 0x01, 0x58, 0xAA, 0x4F, 0x54, 0x88, 0xD0, 0x8F, 0x38, 0x51, 0x4F, 0x1F, - 0xDF, 0x4B, 0x4F, 0x40, 0xD2, 0x18, 0x1B, 0x36, 0x81, 0xC3, 0x64, 0xBA, - 0x02, 0x73, 0xC7, 0x06, - /* order */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x01, 0xE2, 0xAA, 0xD6, 0xA6, 0x12, 0xF3, 0x33, 0x07, 0xBE, - 0x5F, 0xA4, 0x7C, 0x3C, 0x9E, 0x05, 0x2F, 0x83, 0x81, 0x64, 0xCD, 0x37, - 0xD9, 0xA2, 0x11, 0x73 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 72 * 6]; -} _EC_NIST_CHAR2_571K = { - { - NID_X9_62_characteristic_two_field, 0, 72, 4 - }, - { - /* no seed */ - /* p */ - 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0x25, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* x */ - 0x02, 0x6E, 0xB7, 0xA8, 0x59, 0x92, 0x3F, 0xBC, 0x82, 0x18, 0x96, 0x31, - 0xF8, 0x10, 0x3F, 0xE4, 0xAC, 0x9C, 0xA2, 0x97, 0x00, 0x12, 0xD5, 0xD4, - 0x60, 0x24, 0x80, 0x48, 0x01, 0x84, 0x1C, 0xA4, 0x43, 0x70, 0x95, 0x84, - 0x93, 0xB2, 0x05, 0xE6, 0x47, 0xDA, 0x30, 0x4D, 0xB4, 0xCE, 0xB0, 0x8C, - 0xBB, 0xD1, 0xBA, 0x39, 0x49, 0x47, 0x76, 0xFB, 0x98, 0x8B, 0x47, 0x17, - 0x4D, 0xCA, 0x88, 0xC7, 0xE2, 0x94, 0x52, 0x83, 0xA0, 0x1C, 0x89, 0x72, - /* y */ - 0x03, 0x49, 0xDC, 0x80, 0x7F, 0x4F, 0xBF, 0x37, 0x4F, 0x4A, 0xEA, 0xDE, - 0x3B, 0xCA, 0x95, 0x31, 0x4D, 0xD5, 0x8C, 0xEC, 0x9F, 0x30, 0x7A, 0x54, - 0xFF, 0xC6, 0x1E, 0xFC, 0x00, 0x6D, 0x8A, 0x2C, 0x9D, 0x49, 0x79, 0xC0, - 0xAC, 0x44, 0xAE, 0xA7, 0x4F, 0xBE, 0xBB, 0xB9, 0xF7, 0x72, 0xAE, 0xDC, - 0xB6, 0x20, 0xB0, 0x1A, 0x7B, 0xA7, 0xAF, 0x1B, 0x32, 0x04, 0x30, 0xC8, - 0x59, 0x19, 0x84, 0xF6, 0x01, 0xCD, 0x4C, 0x14, 0x3E, 0xF1, 0xC7, 0xA3, - /* order */ - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x13, 0x18, 0x50, 0xE1, 0xF1, 0x9A, 0x63, 0xE4, 0xB3, 0x91, 0xA8, 0xDB, - 0x91, 0x7F, 0x41, 0x38, 0xB6, 0x30, 0xD8, 0x4B, 0xE5, 0xD6, 0x39, 0x38, - 0x1E, 0x91, 0xDE, 0xB4, 0x5C, 0xFE, 0x77, 0x8F, 0x63, 0x7C, 0x10, 0x01 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 72 * 6]; -} _EC_NIST_CHAR2_571B = { - { - NID_X9_62_characteristic_two_field, 20, 72, 2 - }, - { - /* seed */ - 0x2A, 0xA0, 0x58, 0xF7, 0x3A, 0x0E, 0x33, 0xAB, 0x48, 0x6B, 0x0F, 0x61, - 0x04, 0x10, 0xC5, 0x3A, 0x7F, 0x13, 0x23, 0x10, - /* p */ - 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x04, 0x25, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* b */ - 0x02, 0xF4, 0x0E, 0x7E, 0x22, 0x21, 0xF2, 0x95, 0xDE, 0x29, 0x71, 0x17, - 0xB7, 0xF3, 0xD6, 0x2F, 0x5C, 0x6A, 0x97, 0xFF, 0xCB, 0x8C, 0xEF, 0xF1, - 0xCD, 0x6B, 0xA8, 0xCE, 0x4A, 0x9A, 0x18, 0xAD, 0x84, 0xFF, 0xAB, 0xBD, - 0x8E, 0xFA, 0x59, 0x33, 0x2B, 0xE7, 0xAD, 0x67, 0x56, 0xA6, 0x6E, 0x29, - 0x4A, 0xFD, 0x18, 0x5A, 0x78, 0xFF, 0x12, 0xAA, 0x52, 0x0E, 0x4D, 0xE7, - 0x39, 0xBA, 0xCA, 0x0C, 0x7F, 0xFE, 0xFF, 0x7F, 0x29, 0x55, 0x72, 0x7A, - /* x */ - 0x03, 0x03, 0x00, 0x1D, 0x34, 0xB8, 0x56, 0x29, 0x6C, 0x16, 0xC0, 0xD4, - 0x0D, 0x3C, 0xD7, 0x75, 0x0A, 0x93, 0xD1, 0xD2, 0x95, 0x5F, 0xA8, 0x0A, - 0xA5, 0xF4, 0x0F, 0xC8, 0xDB, 0x7B, 0x2A, 0xBD, 0xBD, 0xE5, 0x39, 0x50, - 0xF4, 0xC0, 0xD2, 0x93, 0xCD, 0xD7, 0x11, 0xA3, 0x5B, 0x67, 0xFB, 0x14, - 0x99, 0xAE, 0x60, 0x03, 0x86, 0x14, 0xF1, 0x39, 0x4A, 0xBF, 0xA3, 0xB4, - 0xC8, 0x50, 0xD9, 0x27, 0xE1, 0xE7, 0x76, 0x9C, 0x8E, 0xEC, 0x2D, 0x19, - /* y */ - 0x03, 0x7B, 0xF2, 0x73, 0x42, 0xDA, 0x63, 0x9B, 0x6D, 0xCC, 0xFF, 0xFE, - 0xB7, 0x3D, 0x69, 0xD7, 0x8C, 0x6C, 0x27, 0xA6, 0x00, 0x9C, 0xBB, 0xCA, - 0x19, 0x80, 0xF8, 0x53, 0x39, 0x21, 0xE8, 0xA6, 0x84, 0x42, 0x3E, 0x43, - 0xBA, 0xB0, 0x8A, 0x57, 0x62, 0x91, 0xAF, 0x8F, 0x46, 0x1B, 0xB2, 0xA8, - 0xB3, 0x53, 0x1D, 0x2F, 0x04, 0x85, 0xC1, 0x9B, 0x16, 0xE2, 0xF1, 0x51, - 0x6E, 0x23, 0xDD, 0x3C, 0x1A, 0x48, 0x27, 0xAF, 0x1B, 0x8A, 0xC1, 0x5B, - /* order */ - 0x03, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xE6, 0x61, 0xCE, 0x18, 0xFF, 0x55, 0x98, 0x73, 0x08, 0x05, 0x9B, 0x18, - 0x68, 0x23, 0x85, 0x1E, 0xC7, 0xDD, 0x9C, 0xA1, 0x16, 0x1D, 0xE9, 0x3D, - 0x51, 0x74, 0xD6, 0x6E, 0x83, 0x82, 0xE9, 0xBB, 0x2F, 0xE8, 0x4E, 0x47 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 21 * 6]; -} _EC_X9_62_CHAR2_163V1 = { - { - NID_X9_62_characteristic_two_field, 20, 21, 2 - }, - { - /* seed */ - 0xD2, 0xC0, 0xFB, 0x15, 0x76, 0x08, 0x60, 0xDE, 0xF1, 0xEE, 0xF4, 0xD6, - 0x96, 0xE6, 0x76, 0x87, 0x56, 0x15, 0x17, 0x54, - /* p */ - 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x07, - /* a */ - 0x07, 0x25, 0x46, 0xB5, 0x43, 0x52, 0x34, 0xA4, 0x22, 0xE0, 0x78, 0x96, - 0x75, 0xF4, 0x32, 0xC8, 0x94, 0x35, 0xDE, 0x52, 0x42, - /* b */ - 0x00, 0xC9, 0x51, 0x7D, 0x06, 0xD5, 0x24, 0x0D, 0x3C, 0xFF, 0x38, 0xC7, - 0x4B, 0x20, 0xB6, 0xCD, 0x4D, 0x6F, 0x9D, 0xD4, 0xD9, - /* x */ - 0x07, 0xAF, 0x69, 0x98, 0x95, 0x46, 0x10, 0x3D, 0x79, 0x32, 0x9F, 0xCC, - 0x3D, 0x74, 0x88, 0x0F, 0x33, 0xBB, 0xE8, 0x03, 0xCB, - /* y */ - 0x01, 0xEC, 0x23, 0x21, 0x1B, 0x59, 0x66, 0xAD, 0xEA, 0x1D, 0x3F, 0x87, - 0xF7, 0xEA, 0x58, 0x48, 0xAE, 0xF0, 0xB7, 0xCA, 0x9F, - /* order */ - 0x04, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xE6, - 0x0F, 0xC8, 0x82, 0x1C, 0xC7, 0x4D, 0xAE, 0xAF, 0xC1 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 21 * 6]; -} _EC_X9_62_CHAR2_163V2 = { - { - NID_X9_62_characteristic_two_field, 20, 21, 2 - }, - { - /* seed */ - 0x53, 0x81, 0x4C, 0x05, 0x0D, 0x44, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, - 0x15, 0x17, 0x58, 0x0C, 0xA4, 0xE2, 0x9F, 0xFD, - /* p */ - 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x07, - /* a */ - 0x01, 0x08, 0xB3, 0x9E, 0x77, 0xC4, 0xB1, 0x08, 0xBE, 0xD9, 0x81, 0xED, - 0x0E, 0x89, 0x0E, 0x11, 0x7C, 0x51, 0x1C, 0xF0, 0x72, - /* b */ - 0x06, 0x67, 0xAC, 0xEB, 0x38, 0xAF, 0x4E, 0x48, 0x8C, 0x40, 0x74, 0x33, - 0xFF, 0xAE, 0x4F, 0x1C, 0x81, 0x16, 0x38, 0xDF, 0x20, - /* x */ - 0x00, 0x24, 0x26, 0x6E, 0x4E, 0xB5, 0x10, 0x6D, 0x0A, 0x96, 0x4D, 0x92, - 0xC4, 0x86, 0x0E, 0x26, 0x71, 0xDB, 0x9B, 0x6C, 0xC5, - /* y */ - 0x07, 0x9F, 0x68, 0x4D, 0xDF, 0x66, 0x84, 0xC5, 0xCD, 0x25, 0x8B, 0x38, - 0x90, 0x02, 0x1B, 0x23, 0x86, 0xDF, 0xD1, 0x9F, 0xC5, - /* order */ - 0x03, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFD, 0xF6, - 0x4D, 0xE1, 0x15, 0x1A, 0xDB, 0xB7, 0x8F, 0x10, 0xA7 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 21 * 6]; -} _EC_X9_62_CHAR2_163V3 = { - { - NID_X9_62_characteristic_two_field, 20, 21, 2 - }, - { - /* seed */ - 0x50, 0xCB, 0xF1, 0xD9, 0x5C, 0xA9, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, - 0x61, 0x51, 0x75, 0xF1, 0x6A, 0x36, 0xA3, 0xB8, - /* p */ - 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0x07, - /* a */ - 0x07, 0xA5, 0x26, 0xC6, 0x3D, 0x3E, 0x25, 0xA2, 0x56, 0xA0, 0x07, 0x69, - 0x9F, 0x54, 0x47, 0xE3, 0x2A, 0xE4, 0x56, 0xB5, 0x0E, - /* b */ - 0x03, 0xF7, 0x06, 0x17, 0x98, 0xEB, 0x99, 0xE2, 0x38, 0xFD, 0x6F, 0x1B, - 0xF9, 0x5B, 0x48, 0xFE, 0xEB, 0x48, 0x54, 0x25, 0x2B, - /* x */ - 0x02, 0xF9, 0xF8, 0x7B, 0x7C, 0x57, 0x4D, 0x0B, 0xDE, 0xCF, 0x8A, 0x22, - 0xE6, 0x52, 0x47, 0x75, 0xF9, 0x8C, 0xDE, 0xBD, 0xCB, - /* y */ - 0x05, 0xB9, 0x35, 0x59, 0x0C, 0x15, 0x5E, 0x17, 0xEA, 0x48, 0xEB, 0x3F, - 0xF3, 0x71, 0x8B, 0x89, 0x3D, 0xF5, 0x9A, 0x05, 0xD0, - /* order */ - 0x03, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0x1A, - 0xEE, 0x14, 0x0F, 0x11, 0x0A, 0xFF, 0x96, 0x13, 0x09 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 23 * 6]; -} _EC_X9_62_CHAR2_176V1 = { - { - NID_X9_62_characteristic_two_field, 0, 23, 0xFF6E - }, - { - /* no seed */ - /* p */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x08, 0x00, 0x00, 0x00, 0x00, 0x07, - /* a */ - 0x00, 0xE4, 0xE6, 0xDB, 0x29, 0x95, 0x06, 0x5C, 0x40, 0x7D, 0x9D, 0x39, - 0xB8, 0xD0, 0x96, 0x7B, 0x96, 0x70, 0x4B, 0xA8, 0xE9, 0xC9, 0x0B, - /* b */ - 0x00, 0x5D, 0xDA, 0x47, 0x0A, 0xBE, 0x64, 0x14, 0xDE, 0x8E, 0xC1, 0x33, - 0xAE, 0x28, 0xE9, 0xBB, 0xD7, 0xFC, 0xEC, 0x0A, 0xE0, 0xFF, 0xF2, - /* x */ - 0x00, 0x8D, 0x16, 0xC2, 0x86, 0x67, 0x98, 0xB6, 0x00, 0xF9, 0xF0, 0x8B, - 0xB4, 0xA8, 0xE8, 0x60, 0xF3, 0x29, 0x8C, 0xE0, 0x4A, 0x57, 0x98, - /* y */ - 0x00, 0x6F, 0xA4, 0x53, 0x9C, 0x2D, 0xAD, 0xDD, 0xD6, 0xBA, 0xB5, 0x16, - 0x7D, 0x61, 0xB4, 0x36, 0xE1, 0xD9, 0x2B, 0xB1, 0x6A, 0x56, 0x2C, - /* order */ - 0x00, 0x00, 0x01, 0x00, 0x92, 0x53, 0x73, 0x97, 0xEC, 0xA4, 0xF6, 0x14, - 0x57, 0x99, 0xD6, 0x2B, 0x0A, 0x19, 0xCE, 0x06, 0xFE, 0x26, 0xAD - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 24 * 6]; -} _EC_X9_62_CHAR2_191V1 = { - { - NID_X9_62_characteristic_two_field, 20, 24, 2 - }, - { - /* seed */ - 0x4E, 0x13, 0xCA, 0x54, 0x27, 0x44, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, - 0x15, 0x17, 0x55, 0x2F, 0x27, 0x9A, 0x8C, 0x84, - /* p */ - 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x01, - /* a */ - 0x28, 0x66, 0x53, 0x7B, 0x67, 0x67, 0x52, 0x63, 0x6A, 0x68, 0xF5, 0x65, - 0x54, 0xE1, 0x26, 0x40, 0x27, 0x6B, 0x64, 0x9E, 0xF7, 0x52, 0x62, 0x67, - /* b */ - 0x2E, 0x45, 0xEF, 0x57, 0x1F, 0x00, 0x78, 0x6F, 0x67, 0xB0, 0x08, 0x1B, - 0x94, 0x95, 0xA3, 0xD9, 0x54, 0x62, 0xF5, 0xDE, 0x0A, 0xA1, 0x85, 0xEC, - /* x */ - 0x36, 0xB3, 0xDA, 0xF8, 0xA2, 0x32, 0x06, 0xF9, 0xC4, 0xF2, 0x99, 0xD7, - 0xB2, 0x1A, 0x9C, 0x36, 0x91, 0x37, 0xF2, 0xC8, 0x4A, 0xE1, 0xAA, 0x0D, - /* y */ - 0x76, 0x5B, 0xE7, 0x34, 0x33, 0xB3, 0xF9, 0x5E, 0x33, 0x29, 0x32, 0xE7, - 0x0E, 0xA2, 0x45, 0xCA, 0x24, 0x18, 0xEA, 0x0E, 0xF9, 0x80, 0x18, 0xFB, - /* order */ - 0x40, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x04, 0xA2, 0x0E, 0x90, 0xC3, 0x90, 0x67, 0xC8, 0x93, 0xBB, 0xB9, 0xA5 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 24 * 6]; -} _EC_X9_62_CHAR2_191V2 = { - { - NID_X9_62_characteristic_two_field, 20, 24, 4 - }, - { - /* seed */ - 0x08, 0x71, 0xEF, 0x2F, 0xEF, 0x24, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, - 0x15, 0x17, 0x58, 0xBE, 0xE0, 0xD9, 0x5C, 0x15, - /* p */ - 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x01, - /* a */ - 0x40, 0x10, 0x28, 0x77, 0x4D, 0x77, 0x77, 0xC7, 0xB7, 0x66, 0x6D, 0x13, - 0x66, 0xEA, 0x43, 0x20, 0x71, 0x27, 0x4F, 0x89, 0xFF, 0x01, 0xE7, 0x18, - /* b */ - 0x06, 0x20, 0x04, 0x8D, 0x28, 0xBC, 0xBD, 0x03, 0xB6, 0x24, 0x9C, 0x99, - 0x18, 0x2B, 0x7C, 0x8C, 0xD1, 0x97, 0x00, 0xC3, 0x62, 0xC4, 0x6A, 0x01, - /* x */ - 0x38, 0x09, 0xB2, 0xB7, 0xCC, 0x1B, 0x28, 0xCC, 0x5A, 0x87, 0x92, 0x6A, - 0xAD, 0x83, 0xFD, 0x28, 0x78, 0x9E, 0x81, 0xE2, 0xC9, 0xE3, 0xBF, 0x10, - /* y */ - 0x17, 0x43, 0x43, 0x86, 0x62, 0x6D, 0x14, 0xF3, 0xDB, 0xF0, 0x17, 0x60, - 0xD9, 0x21, 0x3A, 0x3E, 0x1C, 0xF3, 0x7A, 0xEC, 0x43, 0x7D, 0x66, 0x8A, - /* order */ - 0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x50, 0x50, 0x8C, 0xB8, 0x9F, 0x65, 0x28, 0x24, 0xE0, 0x6B, 0x81, 0x73 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 24 * 6]; -} _EC_X9_62_CHAR2_191V3 = { - { - NID_X9_62_characteristic_two_field, 20, 24, 6 - }, - { - /* seed */ - 0xE0, 0x53, 0x51, 0x2D, 0xC6, 0x84, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, - 0x15, 0x17, 0x50, 0x67, 0xAE, 0x78, 0x6D, 0x1F, - /* p */ - 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02, 0x01, - /* a */ - 0x6C, 0x01, 0x07, 0x47, 0x56, 0x09, 0x91, 0x22, 0x22, 0x10, 0x56, 0x91, - 0x1C, 0x77, 0xD7, 0x7E, 0x77, 0xA7, 0x77, 0xE7, 0xE7, 0xE7, 0x7F, 0xCB, - /* b */ - 0x71, 0xFE, 0x1A, 0xF9, 0x26, 0xCF, 0x84, 0x79, 0x89, 0xEF, 0xEF, 0x8D, - 0xB4, 0x59, 0xF6, 0x63, 0x94, 0xD9, 0x0F, 0x32, 0xAD, 0x3F, 0x15, 0xE8, - /* x */ - 0x37, 0x5D, 0x4C, 0xE2, 0x4F, 0xDE, 0x43, 0x44, 0x89, 0xDE, 0x87, 0x46, - 0xE7, 0x17, 0x86, 0x01, 0x50, 0x09, 0xE6, 0x6E, 0x38, 0xA9, 0x26, 0xDD, - /* y */ - 0x54, 0x5A, 0x39, 0x17, 0x61, 0x96, 0x57, 0x5D, 0x98, 0x59, 0x99, 0x36, - 0x6E, 0x6A, 0xD3, 0x4C, 0xE0, 0xA7, 0x7C, 0xD7, 0x12, 0x7B, 0x06, 0xBE, - /* order */ - 0x15, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, - 0x61, 0x0C, 0x0B, 0x19, 0x68, 0x12, 0xBF, 0xB6, 0x28, 0x8A, 0x3E, 0xA3 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 27 * 6]; -} _EC_X9_62_CHAR2_208W1 = { - { - NID_X9_62_characteristic_two_field, 0, 27, 0xFE48 - }, - { - /* no seed */ - /* p */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x07, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, - /* b */ - 0x00, 0xC8, 0x61, 0x9E, 0xD4, 0x5A, 0x62, 0xE6, 0x21, 0x2E, 0x11, 0x60, - 0x34, 0x9E, 0x2B, 0xFA, 0x84, 0x44, 0x39, 0xFA, 0xFC, 0x2A, 0x3F, 0xD1, - 0x63, 0x8F, 0x9E, - /* x */ - 0x00, 0x89, 0xFD, 0xFB, 0xE4, 0xAB, 0xE1, 0x93, 0xDF, 0x95, 0x59, 0xEC, - 0xF0, 0x7A, 0xC0, 0xCE, 0x78, 0x55, 0x4E, 0x27, 0x84, 0xEB, 0x8C, 0x1E, - 0xD1, 0xA5, 0x7A, - /* y */ - 0x00, 0x0F, 0x55, 0xB5, 0x1A, 0x06, 0xE7, 0x8E, 0x9A, 0xC3, 0x8A, 0x03, - 0x5F, 0xF5, 0x20, 0xD8, 0xB0, 0x17, 0x81, 0xBE, 0xB1, 0xA6, 0xBB, 0x08, - 0x61, 0x7D, 0xE3, - /* order */ - 0x00, 0x00, 0x01, 0x01, 0xBA, 0xF9, 0x5C, 0x97, 0x23, 0xC5, 0x7B, 0x6C, - 0x21, 0xDA, 0x2E, 0xFF, 0x2D, 0x5E, 0xD5, 0x88, 0xBD, 0xD5, 0x71, 0x7E, - 0x21, 0x2F, 0x9D - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 30 * 6]; -} _EC_X9_62_CHAR2_239V1 = { - { - NID_X9_62_characteristic_two_field, 20, 30, 4 - }, - { - /* seed */ - 0xD3, 0x4B, 0x9A, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75, - 0xCA, 0x71, 0xB9, 0x20, 0xBF, 0xEF, 0xB0, 0x5D, - /* p */ - 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x10, 0x00, 0x00, 0x00, 0x01, - /* a */ - 0x32, 0x01, 0x08, 0x57, 0x07, 0x7C, 0x54, 0x31, 0x12, 0x3A, 0x46, 0xB8, - 0x08, 0x90, 0x67, 0x56, 0xF5, 0x43, 0x42, 0x3E, 0x8D, 0x27, 0x87, 0x75, - 0x78, 0x12, 0x57, 0x78, 0xAC, 0x76, - /* b */ - 0x79, 0x04, 0x08, 0xF2, 0xEE, 0xDA, 0xF3, 0x92, 0xB0, 0x12, 0xED, 0xEF, - 0xB3, 0x39, 0x2F, 0x30, 0xF4, 0x32, 0x7C, 0x0C, 0xA3, 0xF3, 0x1F, 0xC3, - 0x83, 0xC4, 0x22, 0xAA, 0x8C, 0x16, - /* x */ - 0x57, 0x92, 0x70, 0x98, 0xFA, 0x93, 0x2E, 0x7C, 0x0A, 0x96, 0xD3, 0xFD, - 0x5B, 0x70, 0x6E, 0xF7, 0xE5, 0xF5, 0xC1, 0x56, 0xE1, 0x6B, 0x7E, 0x7C, - 0x86, 0x03, 0x85, 0x52, 0xE9, 0x1D, - /* y */ - 0x61, 0xD8, 0xEE, 0x50, 0x77, 0xC3, 0x3F, 0xEC, 0xF6, 0xF1, 0xA1, 0x6B, - 0x26, 0x8D, 0xE4, 0x69, 0xC3, 0xC7, 0x74, 0x4E, 0xA9, 0xA9, 0x71, 0x64, - 0x9F, 0xC7, 0xA9, 0x61, 0x63, 0x05, - /* order */ - 0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x0F, 0x4D, 0x42, 0xFF, 0xE1, 0x49, 0x2A, 0x49, 0x93, - 0xF1, 0xCA, 0xD6, 0x66, 0xE4, 0x47 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 30 * 6]; -} _EC_X9_62_CHAR2_239V2 = { - { - NID_X9_62_characteristic_two_field, 20, 30, 6 - }, - { - /* seed */ - 0x2A, 0xA6, 0x98, 0x2F, 0xDF, 0xA4, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, - 0x15, 0x17, 0x5D, 0x26, 0x67, 0x27, 0x27, 0x7D, - /* p */ - 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x10, 0x00, 0x00, 0x00, 0x01, - /* a */ - 0x42, 0x30, 0x01, 0x77, 0x57, 0xA7, 0x67, 0xFA, 0xE4, 0x23, 0x98, 0x56, - 0x9B, 0x74, 0x63, 0x25, 0xD4, 0x53, 0x13, 0xAF, 0x07, 0x66, 0x26, 0x64, - 0x79, 0xB7, 0x56, 0x54, 0xE6, 0x5F, - /* b */ - 0x50, 0x37, 0xEA, 0x65, 0x41, 0x96, 0xCF, 0xF0, 0xCD, 0x82, 0xB2, 0xC1, - 0x4A, 0x2F, 0xCF, 0x2E, 0x3F, 0xF8, 0x77, 0x52, 0x85, 0xB5, 0x45, 0x72, - 0x2F, 0x03, 0xEA, 0xCD, 0xB7, 0x4B, - /* x */ - 0x28, 0xF9, 0xD0, 0x4E, 0x90, 0x00, 0x69, 0xC8, 0xDC, 0x47, 0xA0, 0x85, - 0x34, 0xFE, 0x76, 0xD2, 0xB9, 0x00, 0xB7, 0xD7, 0xEF, 0x31, 0xF5, 0x70, - 0x9F, 0x20, 0x0C, 0x4C, 0xA2, 0x05, - /* y */ - 0x56, 0x67, 0x33, 0x4C, 0x45, 0xAF, 0xF3, 0xB5, 0xA0, 0x3B, 0xAD, 0x9D, - 0xD7, 0x5E, 0x2C, 0x71, 0xA9, 0x93, 0x62, 0x56, 0x7D, 0x54, 0x53, 0xF7, - 0xFA, 0x6E, 0x22, 0x7E, 0xC8, 0x33, - /* order */ - 0x15, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, 0x55, - 0x55, 0x55, 0x55, 0x3C, 0x6F, 0x28, 0x85, 0x25, 0x9C, 0x31, 0xE3, 0xFC, - 0xDF, 0x15, 0x46, 0x24, 0x52, 0x2D - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 30 * 6]; -} _EC_X9_62_CHAR2_239V3 = { - { - NID_X9_62_characteristic_two_field, 20, 30, 0xA - }, - { - /* seed */ - 0x9E, 0x07, 0x6F, 0x4D, 0x69, 0x6E, 0x67, 0x68, 0x75, 0x61, 0x51, 0x75, - 0xE1, 0x1E, 0x9F, 0xDD, 0x77, 0xF9, 0x20, 0x41, - /* p */ - 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x10, 0x00, 0x00, 0x00, 0x01, - /* a */ - 0x01, 0x23, 0x87, 0x74, 0x66, 0x6A, 0x67, 0x76, 0x6D, 0x66, 0x76, 0xF7, - 0x78, 0xE6, 0x76, 0xB6, 0x69, 0x99, 0x17, 0x66, 0x66, 0xE6, 0x87, 0x66, - 0x6D, 0x87, 0x66, 0xC6, 0x6A, 0x9F, - /* b */ - 0x6A, 0x94, 0x19, 0x77, 0xBA, 0x9F, 0x6A, 0x43, 0x51, 0x99, 0xAC, 0xFC, - 0x51, 0x06, 0x7E, 0xD5, 0x87, 0xF5, 0x19, 0xC5, 0xEC, 0xB5, 0x41, 0xB8, - 0xE4, 0x41, 0x11, 0xDE, 0x1D, 0x40, - /* x */ - 0x70, 0xF6, 0xE9, 0xD0, 0x4D, 0x28, 0x9C, 0x4E, 0x89, 0x91, 0x3C, 0xE3, - 0x53, 0x0B, 0xFD, 0xE9, 0x03, 0x97, 0x7D, 0x42, 0xB1, 0x46, 0xD5, 0x39, - 0xBF, 0x1B, 0xDE, 0x4E, 0x9C, 0x92, - /* y */ - 0x2E, 0x5A, 0x0E, 0xAF, 0x6E, 0x5E, 0x13, 0x05, 0xB9, 0x00, 0x4D, 0xCE, - 0x5C, 0x0E, 0xD7, 0xFE, 0x59, 0xA3, 0x56, 0x08, 0xF3, 0x38, 0x37, 0xC8, - 0x16, 0xD8, 0x0B, 0x79, 0xF4, 0x61, - /* order */ - 0x0C, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC, 0xCC, - 0xCC, 0xCC, 0xCC, 0xAC, 0x49, 0x12, 0xD2, 0xD9, 0xDF, 0x90, 0x3E, 0xF9, - 0x88, 0x8B, 0x8A, 0x0E, 0x4C, 0xFF - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 35 * 6]; -} _EC_X9_62_CHAR2_272W1 = { - { - NID_X9_62_characteristic_two_field, 0, 35, 0xFF06 - }, - { - /* no seed */ - /* p */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0B, - /* a */ - 0x00, 0x91, 0xA0, 0x91, 0xF0, 0x3B, 0x5F, 0xBA, 0x4A, 0xB2, 0xCC, 0xF4, - 0x9C, 0x4E, 0xDD, 0x22, 0x0F, 0xB0, 0x28, 0x71, 0x2D, 0x42, 0xBE, 0x75, - 0x2B, 0x2C, 0x40, 0x09, 0x4D, 0xBA, 0xCD, 0xB5, 0x86, 0xFB, 0x20, - /* b */ - 0x00, 0x71, 0x67, 0xEF, 0xC9, 0x2B, 0xB2, 0xE3, 0xCE, 0x7C, 0x8A, 0xAA, - 0xFF, 0x34, 0xE1, 0x2A, 0x9C, 0x55, 0x70, 0x03, 0xD7, 0xC7, 0x3A, 0x6F, - 0xAF, 0x00, 0x3F, 0x99, 0xF6, 0xCC, 0x84, 0x82, 0xE5, 0x40, 0xF7, - /* x */ - 0x00, 0x61, 0x08, 0xBA, 0xBB, 0x2C, 0xEE, 0xBC, 0xF7, 0x87, 0x05, 0x8A, - 0x05, 0x6C, 0xBE, 0x0C, 0xFE, 0x62, 0x2D, 0x77, 0x23, 0xA2, 0x89, 0xE0, - 0x8A, 0x07, 0xAE, 0x13, 0xEF, 0x0D, 0x10, 0xD1, 0x71, 0xDD, 0x8D, - /* y */ - 0x00, 0x10, 0xC7, 0x69, 0x57, 0x16, 0x85, 0x1E, 0xEF, 0x6B, 0xA7, 0xF6, - 0x87, 0x2E, 0x61, 0x42, 0xFB, 0xD2, 0x41, 0xB8, 0x30, 0xFF, 0x5E, 0xFC, - 0xAC, 0xEC, 0xCA, 0xB0, 0x5E, 0x02, 0x00, 0x5D, 0xDE, 0x9D, 0x23, - /* order */ - 0x00, 0x00, 0x01, 0x00, 0xFA, 0xF5, 0x13, 0x54, 0xE0, 0xE3, 0x9E, 0x48, - 0x92, 0xDF, 0x6E, 0x31, 0x9C, 0x72, 0xC8, 0x16, 0x16, 0x03, 0xFA, 0x45, - 0xAA, 0x7B, 0x99, 0x8A, 0x16, 0x7B, 0x8F, 0x1E, 0x62, 0x95, 0x21 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 39 * 6]; -} _EC_X9_62_CHAR2_304W1 = { - { - NID_X9_62_characteristic_two_field, 0, 39, 0xFE2E - }, - { - /* no seed */ - /* p */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x08, 0x07, - /* a */ - 0x00, 0xFD, 0x0D, 0x69, 0x31, 0x49, 0xA1, 0x18, 0xF6, 0x51, 0xE6, 0xDC, - 0xE6, 0x80, 0x20, 0x85, 0x37, 0x7E, 0x5F, 0x88, 0x2D, 0x1B, 0x51, 0x0B, - 0x44, 0x16, 0x00, 0x74, 0xC1, 0x28, 0x80, 0x78, 0x36, 0x5A, 0x03, 0x96, - 0xC8, 0xE6, 0x81, - /* b */ - 0x00, 0xBD, 0xDB, 0x97, 0xE5, 0x55, 0xA5, 0x0A, 0x90, 0x8E, 0x43, 0xB0, - 0x1C, 0x79, 0x8E, 0xA5, 0xDA, 0xA6, 0x78, 0x8F, 0x1E, 0xA2, 0x79, 0x4E, - 0xFC, 0xF5, 0x71, 0x66, 0xB8, 0xC1, 0x40, 0x39, 0x60, 0x1E, 0x55, 0x82, - 0x73, 0x40, 0xBE, - /* x */ - 0x00, 0x19, 0x7B, 0x07, 0x84, 0x5E, 0x9B, 0xE2, 0xD9, 0x6A, 0xDB, 0x0F, - 0x5F, 0x3C, 0x7F, 0x2C, 0xFF, 0xBD, 0x7A, 0x3E, 0xB8, 0xB6, 0xFE, 0xC3, - 0x5C, 0x7F, 0xD6, 0x7F, 0x26, 0xDD, 0xF6, 0x28, 0x5A, 0x64, 0x4F, 0x74, - 0x0A, 0x26, 0x14, - /* y */ - 0x00, 0xE1, 0x9F, 0xBE, 0xB7, 0x6E, 0x0D, 0xA1, 0x71, 0x51, 0x7E, 0xCF, - 0x40, 0x1B, 0x50, 0x28, 0x9B, 0xF0, 0x14, 0x10, 0x32, 0x88, 0x52, 0x7A, - 0x9B, 0x41, 0x6A, 0x10, 0x5E, 0x80, 0x26, 0x0B, 0x54, 0x9F, 0xDC, 0x1B, - 0x92, 0xC0, 0x3B, - /* order */ - 0x00, 0x00, 0x01, 0x01, 0xD5, 0x56, 0x57, 0x2A, 0xAB, 0xAC, 0x80, 0x01, - 0x01, 0xD5, 0x56, 0x57, 0x2A, 0xAB, 0xAC, 0x80, 0x01, 0x02, 0x2D, 0x5C, - 0x91, 0xDD, 0x17, 0x3F, 0x8F, 0xB5, 0x61, 0xDA, 0x68, 0x99, 0x16, 0x44, - 0x43, 0x05, 0x1D - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[20 + 45 * 6]; -} _EC_X9_62_CHAR2_359V1 = { - { - NID_X9_62_characteristic_two_field, 20, 45, 0x4C - }, - { - /* seed */ - 0x2B, 0x35, 0x49, 0x20, 0xB7, 0x24, 0xD6, 0x96, 0xE6, 0x76, 0x87, 0x56, - 0x15, 0x17, 0x58, 0x5B, 0xA1, 0x33, 0x2D, 0xC6, - /* p */ - 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x10, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* a */ - 0x56, 0x67, 0x67, 0x6A, 0x65, 0x4B, 0x20, 0x75, 0x4F, 0x35, 0x6E, 0xA9, - 0x20, 0x17, 0xD9, 0x46, 0x56, 0x7C, 0x46, 0x67, 0x55, 0x56, 0xF1, 0x95, - 0x56, 0xA0, 0x46, 0x16, 0xB5, 0x67, 0xD2, 0x23, 0xA5, 0xE0, 0x56, 0x56, - 0xFB, 0x54, 0x90, 0x16, 0xA9, 0x66, 0x56, 0xA5, 0x57, - /* b */ - 0x24, 0x72, 0xE2, 0xD0, 0x19, 0x7C, 0x49, 0x36, 0x3F, 0x1F, 0xE7, 0xF5, - 0xB6, 0xDB, 0x07, 0x5D, 0x52, 0xB6, 0x94, 0x7D, 0x13, 0x5D, 0x8C, 0xA4, - 0x45, 0x80, 0x5D, 0x39, 0xBC, 0x34, 0x56, 0x26, 0x08, 0x96, 0x87, 0x74, - 0x2B, 0x63, 0x29, 0xE7, 0x06, 0x80, 0x23, 0x19, 0x88, - /* x */ - 0x3C, 0x25, 0x8E, 0xF3, 0x04, 0x77, 0x67, 0xE7, 0xED, 0xE0, 0xF1, 0xFD, - 0xAA, 0x79, 0xDA, 0xEE, 0x38, 0x41, 0x36, 0x6A, 0x13, 0x2E, 0x16, 0x3A, - 0xCE, 0xD4, 0xED, 0x24, 0x01, 0xDF, 0x9C, 0x6B, 0xDC, 0xDE, 0x98, 0xE8, - 0xE7, 0x07, 0xC0, 0x7A, 0x22, 0x39, 0xB1, 0xB0, 0x97, - /* y */ - 0x53, 0xD7, 0xE0, 0x85, 0x29, 0x54, 0x70, 0x48, 0x12, 0x1E, 0x9C, 0x95, - 0xF3, 0x79, 0x1D, 0xD8, 0x04, 0x96, 0x39, 0x48, 0xF3, 0x4F, 0xAE, 0x7B, - 0xF4, 0x4E, 0xA8, 0x23, 0x65, 0xDC, 0x78, 0x68, 0xFE, 0x57, 0xE4, 0xAE, - 0x2D, 0xE2, 0x11, 0x30, 0x5A, 0x40, 0x71, 0x04, 0xBD, - /* order */ - 0x01, 0xAF, 0x28, 0x6B, 0xCA, 0x1A, 0xF2, 0x86, 0xBC, 0xA1, 0xAF, 0x28, - 0x6B, 0xCA, 0x1A, 0xF2, 0x86, 0xBC, 0xA1, 0xAF, 0x28, 0x6B, 0xC9, 0xFB, - 0x8F, 0x6B, 0x85, 0xC5, 0x56, 0x89, 0x2C, 0x20, 0xA7, 0xEB, 0x96, 0x4F, - 0xE7, 0x71, 0x9E, 0x74, 0xF4, 0x90, 0x75, 0x8D, 0x3B - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 47 * 6]; -} _EC_X9_62_CHAR2_368W1 = { - { - NID_X9_62_characteristic_two_field, 0, 47, 0xFF70 - }, - { - /* no seed */ - /* p */ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x07, - /* a */ - 0x00, 0xE0, 0xD2, 0xEE, 0x25, 0x09, 0x52, 0x06, 0xF5, 0xE2, 0xA4, 0xF9, - 0xED, 0x22, 0x9F, 0x1F, 0x25, 0x6E, 0x79, 0xA0, 0xE2, 0xB4, 0x55, 0x97, - 0x0D, 0x8D, 0x0D, 0x86, 0x5B, 0xD9, 0x47, 0x78, 0xC5, 0x76, 0xD6, 0x2F, - 0x0A, 0xB7, 0x51, 0x9C, 0xCD, 0x2A, 0x1A, 0x90, 0x6A, 0xE3, 0x0D, - /* b */ - 0x00, 0xFC, 0x12, 0x17, 0xD4, 0x32, 0x0A, 0x90, 0x45, 0x2C, 0x76, 0x0A, - 0x58, 0xED, 0xCD, 0x30, 0xC8, 0xDD, 0x06, 0x9B, 0x3C, 0x34, 0x45, 0x38, - 0x37, 0xA3, 0x4E, 0xD5, 0x0C, 0xB5, 0x49, 0x17, 0xE1, 0xC2, 0x11, 0x2D, - 0x84, 0xD1, 0x64, 0xF4, 0x44, 0xF8, 0xF7, 0x47, 0x86, 0x04, 0x6A, - /* x */ - 0x00, 0x10, 0x85, 0xE2, 0x75, 0x53, 0x81, 0xDC, 0xCC, 0xE3, 0xC1, 0x55, - 0x7A, 0xFA, 0x10, 0xC2, 0xF0, 0xC0, 0xC2, 0x82, 0x56, 0x46, 0xC5, 0xB3, - 0x4A, 0x39, 0x4C, 0xBC, 0xFA, 0x8B, 0xC1, 0x6B, 0x22, 0xE7, 0xE7, 0x89, - 0xE9, 0x27, 0xBE, 0x21, 0x6F, 0x02, 0xE1, 0xFB, 0x13, 0x6A, 0x5F, - /* y */ - 0x00, 0x7B, 0x3E, 0xB1, 0xBD, 0xDC, 0xBA, 0x62, 0xD5, 0xD8, 0xB2, 0x05, - 0x9B, 0x52, 0x57, 0x97, 0xFC, 0x73, 0x82, 0x2C, 0x59, 0x05, 0x9C, 0x62, - 0x3A, 0x45, 0xFF, 0x38, 0x43, 0xCE, 0xE8, 0xF8, 0x7C, 0xD1, 0x85, 0x5A, - 0xDA, 0xA8, 0x1E, 0x2A, 0x07, 0x50, 0xB8, 0x0F, 0xDA, 0x23, 0x10, - /* order */ - 0x00, 0x00, 0x01, 0x00, 0x90, 0x51, 0x2D, 0xA9, 0xAF, 0x72, 0xB0, 0x83, - 0x49, 0xD9, 0x8A, 0x5D, 0xD4, 0xC7, 0xB0, 0x53, 0x2E, 0xCA, 0x51, 0xCE, - 0x03, 0xE2, 0xD1, 0x0F, 0x3B, 0x7A, 0xC5, 0x79, 0xBD, 0x87, 0xE9, 0x09, - 0xAE, 0x40, 0xA6, 0xF1, 0x31, 0xE9, 0xCF, 0xCE, 0x5B, 0xD9, 0x67 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 54 * 6]; -} _EC_X9_62_CHAR2_431R1 = { - { - NID_X9_62_characteristic_two_field, 0, 54, 0x2760 - }, - { - /* no seed */ - /* p */ - 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* a */ - 0x1A, 0x82, 0x7E, 0xF0, 0x0D, 0xD6, 0xFC, 0x0E, 0x23, 0x4C, 0xAF, 0x04, - 0x6C, 0x6A, 0x5D, 0x8A, 0x85, 0x39, 0x5B, 0x23, 0x6C, 0xC4, 0xAD, 0x2C, - 0xF3, 0x2A, 0x0C, 0xAD, 0xBD, 0xC9, 0xDD, 0xF6, 0x20, 0xB0, 0xEB, 0x99, - 0x06, 0xD0, 0x95, 0x7F, 0x6C, 0x6F, 0xEA, 0xCD, 0x61, 0x54, 0x68, 0xDF, - 0x10, 0x4D, 0xE2, 0x96, 0xCD, 0x8F, - /* b */ - 0x10, 0xD9, 0xB4, 0xA3, 0xD9, 0x04, 0x7D, 0x8B, 0x15, 0x43, 0x59, 0xAB, - 0xFB, 0x1B, 0x7F, 0x54, 0x85, 0xB0, 0x4C, 0xEB, 0x86, 0x82, 0x37, 0xDD, - 0xC9, 0xDE, 0xDA, 0x98, 0x2A, 0x67, 0x9A, 0x5A, 0x91, 0x9B, 0x62, 0x6D, - 0x4E, 0x50, 0xA8, 0xDD, 0x73, 0x1B, 0x10, 0x7A, 0x99, 0x62, 0x38, 0x1F, - 0xB5, 0xD8, 0x07, 0xBF, 0x26, 0x18, - /* x */ - 0x12, 0x0F, 0xC0, 0x5D, 0x3C, 0x67, 0xA9, 0x9D, 0xE1, 0x61, 0xD2, 0xF4, - 0x09, 0x26, 0x22, 0xFE, 0xCA, 0x70, 0x1B, 0xE4, 0xF5, 0x0F, 0x47, 0x58, - 0x71, 0x4E, 0x8A, 0x87, 0xBB, 0xF2, 0xA6, 0x58, 0xEF, 0x8C, 0x21, 0xE7, - 0xC5, 0xEF, 0xE9, 0x65, 0x36, 0x1F, 0x6C, 0x29, 0x99, 0xC0, 0xC2, 0x47, - 0xB0, 0xDB, 0xD7, 0x0C, 0xE6, 0xB7, - /* y */ - 0x20, 0xD0, 0xAF, 0x89, 0x03, 0xA9, 0x6F, 0x8D, 0x5F, 0xA2, 0xC2, 0x55, - 0x74, 0x5D, 0x3C, 0x45, 0x1B, 0x30, 0x2C, 0x93, 0x46, 0xD9, 0xB7, 0xE4, - 0x85, 0xE7, 0xBC, 0xE4, 0x1F, 0x6B, 0x59, 0x1F, 0x3E, 0x8F, 0x6A, 0xDD, - 0xCB, 0xB0, 0xBC, 0x4C, 0x2F, 0x94, 0x7A, 0x7D, 0xE1, 0xA8, 0x9B, 0x62, - 0x5D, 0x6A, 0x59, 0x8B, 0x37, 0x60, - /* order */ - 0x00, 0x03, 0x40, 0x34, 0x03, 0x40, 0x34, 0x03, 0x40, 0x34, 0x03, 0x40, - 0x34, 0x03, 0x40, 0x34, 0x03, 0x40, 0x34, 0x03, 0x40, 0x34, 0x03, 0x40, - 0x34, 0x03, 0x40, 0x34, 0x03, 0x23, 0xC3, 0x13, 0xFA, 0xB5, 0x05, 0x89, - 0x70, 0x3B, 0x5E, 0xC6, 0x8D, 0x35, 0x87, 0xFE, 0xC6, 0x0D, 0x16, 0x1C, - 0xC1, 0x49, 0xC1, 0xAD, 0x4A, 0x91 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 15 * 6]; -} _EC_WTLS_1 = { - { - NID_X9_62_characteristic_two_field, 0, 15, 2 - }, - { - /* no seed */ - /* p */ - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x02, 0x01, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x01, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x01, - /* x */ - 0x01, 0x66, 0x79, 0x79, 0xA4, 0x0B, 0xA4, 0x97, 0xE5, 0xD5, 0xC2, 0x70, - 0x78, 0x06, 0x17, - /* y */ - 0x00, 0xF4, 0x4B, 0x4A, 0xF1, 0xEC, 0xC2, 0x63, 0x0E, 0x08, 0x78, 0x5C, - 0xEB, 0xCC, 0x15, - /* order */ - 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFD, 0xBF, 0x91, 0xAF, - 0x6D, 0xEA, 0x73 - } -}; - -/* IPSec curves */ -/* - * NOTE: The of curves over a extension field of non prime degree is not - * recommended (Weil-descent). As the group order is not a prime this curve - * is not suitable for ECDSA. - */ -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 20 * 6]; -} _EC_IPSEC_155_ID3 = { - { - NID_X9_62_characteristic_two_field, 0, 20, 3 - }, - { - /* no seed */ - /* p */ - 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x40, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x07, 0x33, 0x8f, - /* x */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x7b, - /* y */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, 0xc8, - /* order */ - 0x02, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xAA, 0xC7, 0xF3, - 0xC7, 0x88, 0x1B, 0xD0, 0x86, 0x8F, 0xA8, 0x6C - } -}; - -/* - * NOTE: The of curves over a extension field of non prime degree is not - * recommended (Weil-descent). As the group order is not a prime this curve - * is not suitable for ECDSA. - */ -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 24 * 6]; -} _EC_IPSEC_185_ID4 = { - { - NID_X9_62_characteristic_two_field, 0, 24, 2 - }, - { - /* no seed */ - /* p */ - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x20, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01, - /* a */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - /* b */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x1e, 0xe9, - /* x */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x18, - /* y */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0d, - /* order */ - 0x00, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, - 0xED, 0xF9, 0x7C, 0x44, 0xDB, 0x9F, 0x24, 0x20, 0xBA, 0xFC, 0xA7, 0x5E - } -}; - -#endif - -/* - * These curves were added by Annie Yousar <a.yousar@informatik.hu-berlin.de> - * For the definition of RFC 5639 curves see - * http://www.ietf.org/rfc/rfc5639.txt These curves are generated verifiable - * at random, nevertheless the seed is omitted as parameter because the - * generation mechanism is different from those defined in ANSI X9.62. - */ - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 20 * 6]; -} _EC_brainpoolP160r1 = { - { - NID_X9_62_prime_field, 0, 20, 1 - }, - { - /* no seed */ - /* p */ - 0xE9, 0x5E, 0x4A, 0x5F, 0x73, 0x70, 0x59, 0xDC, 0x60, 0xDF, 0xC7, 0xAD, - 0x95, 0xB3, 0xD8, 0x13, 0x95, 0x15, 0x62, 0x0F, - /* a */ - 0x34, 0x0E, 0x7B, 0xE2, 0xA2, 0x80, 0xEB, 0x74, 0xE2, 0xBE, 0x61, 0xBA, - 0xDA, 0x74, 0x5D, 0x97, 0xE8, 0xF7, 0xC3, 0x00, - /* b */ - 0x1E, 0x58, 0x9A, 0x85, 0x95, 0x42, 0x34, 0x12, 0x13, 0x4F, 0xAA, 0x2D, - 0xBD, 0xEC, 0x95, 0xC8, 0xD8, 0x67, 0x5E, 0x58, - /* x */ - 0xBE, 0xD5, 0xAF, 0x16, 0xEA, 0x3F, 0x6A, 0x4F, 0x62, 0x93, 0x8C, 0x46, - 0x31, 0xEB, 0x5A, 0xF7, 0xBD, 0xBC, 0xDB, 0xC3, - /* y */ - 0x16, 0x67, 0xCB, 0x47, 0x7A, 0x1A, 0x8E, 0xC3, 0x38, 0xF9, 0x47, 0x41, - 0x66, 0x9C, 0x97, 0x63, 0x16, 0xDA, 0x63, 0x21, - /* order */ - 0xE9, 0x5E, 0x4A, 0x5F, 0x73, 0x70, 0x59, 0xDC, 0x60, 0xDF, 0x59, 0x91, - 0xD4, 0x50, 0x29, 0x40, 0x9E, 0x60, 0xFC, 0x09 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 20 * 6]; -} _EC_brainpoolP160t1 = { - { - NID_X9_62_prime_field, 0, 20, 1 - }, - { - /* no seed */ - /* p */ - 0xE9, 0x5E, 0x4A, 0x5F, 0x73, 0x70, 0x59, 0xDC, 0x60, 0xDF, 0xC7, 0xAD, - 0x95, 0xB3, 0xD8, 0x13, 0x95, 0x15, 0x62, 0x0F, - /* a */ - 0xE9, 0x5E, 0x4A, 0x5F, 0x73, 0x70, 0x59, 0xDC, 0x60, 0xDF, 0xC7, 0xAD, - 0x95, 0xB3, 0xD8, 0x13, 0x95, 0x15, 0x62, 0x0C, - /* b */ - 0x7A, 0x55, 0x6B, 0x6D, 0xAE, 0x53, 0x5B, 0x7B, 0x51, 0xED, 0x2C, 0x4D, - 0x7D, 0xAA, 0x7A, 0x0B, 0x5C, 0x55, 0xF3, 0x80, - /* x */ - 0xB1, 0x99, 0xB1, 0x3B, 0x9B, 0x34, 0xEF, 0xC1, 0x39, 0x7E, 0x64, 0xBA, - 0xEB, 0x05, 0xAC, 0xC2, 0x65, 0xFF, 0x23, 0x78, - /* y */ - 0xAD, 0xD6, 0x71, 0x8B, 0x7C, 0x7C, 0x19, 0x61, 0xF0, 0x99, 0x1B, 0x84, - 0x24, 0x43, 0x77, 0x21, 0x52, 0xC9, 0xE0, 0xAD, - /* order */ - 0xE9, 0x5E, 0x4A, 0x5F, 0x73, 0x70, 0x59, 0xDC, 0x60, 0xDF, 0x59, 0x91, - 0xD4, 0x50, 0x29, 0x40, 0x9E, 0x60, 0xFC, 0x09 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 24 * 6]; -} _EC_brainpoolP192r1 = { - { - NID_X9_62_prime_field, 0, 24, 1 - }, - { - /* no seed */ - /* p */ - 0xC3, 0x02, 0xF4, 0x1D, 0x93, 0x2A, 0x36, 0xCD, 0xA7, 0xA3, 0x46, 0x30, - 0x93, 0xD1, 0x8D, 0xB7, 0x8F, 0xCE, 0x47, 0x6D, 0xE1, 0xA8, 0x62, 0x97, - /* a */ - 0x6A, 0x91, 0x17, 0x40, 0x76, 0xB1, 0xE0, 0xE1, 0x9C, 0x39, 0xC0, 0x31, - 0xFE, 0x86, 0x85, 0xC1, 0xCA, 0xE0, 0x40, 0xE5, 0xC6, 0x9A, 0x28, 0xEF, - /* b */ - 0x46, 0x9A, 0x28, 0xEF, 0x7C, 0x28, 0xCC, 0xA3, 0xDC, 0x72, 0x1D, 0x04, - 0x4F, 0x44, 0x96, 0xBC, 0xCA, 0x7E, 0xF4, 0x14, 0x6F, 0xBF, 0x25, 0xC9, - /* x */ - 0xC0, 0xA0, 0x64, 0x7E, 0xAA, 0xB6, 0xA4, 0x87, 0x53, 0xB0, 0x33, 0xC5, - 0x6C, 0xB0, 0xF0, 0x90, 0x0A, 0x2F, 0x5C, 0x48, 0x53, 0x37, 0x5F, 0xD6, - /* y */ - 0x14, 0xB6, 0x90, 0x86, 0x6A, 0xBD, 0x5B, 0xB8, 0x8B, 0x5F, 0x48, 0x28, - 0xC1, 0x49, 0x00, 0x02, 0xE6, 0x77, 0x3F, 0xA2, 0xFA, 0x29, 0x9B, 0x8F, - /* order */ - 0xC3, 0x02, 0xF4, 0x1D, 0x93, 0x2A, 0x36, 0xCD, 0xA7, 0xA3, 0x46, 0x2F, - 0x9E, 0x9E, 0x91, 0x6B, 0x5B, 0xE8, 0xF1, 0x02, 0x9A, 0xC4, 0xAC, 0xC1 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 24 * 6]; -} _EC_brainpoolP192t1 = { - { - NID_X9_62_prime_field, 0, 24, 1 - }, - { - /* no seed */ - /* p */ - 0xC3, 0x02, 0xF4, 0x1D, 0x93, 0x2A, 0x36, 0xCD, 0xA7, 0xA3, 0x46, 0x30, - 0x93, 0xD1, 0x8D, 0xB7, 0x8F, 0xCE, 0x47, 0x6D, 0xE1, 0xA8, 0x62, 0x97, - /* a */ - 0xC3, 0x02, 0xF4, 0x1D, 0x93, 0x2A, 0x36, 0xCD, 0xA7, 0xA3, 0x46, 0x30, - 0x93, 0xD1, 0x8D, 0xB7, 0x8F, 0xCE, 0x47, 0x6D, 0xE1, 0xA8, 0x62, 0x94, - /* b */ - 0x13, 0xD5, 0x6F, 0xFA, 0xEC, 0x78, 0x68, 0x1E, 0x68, 0xF9, 0xDE, 0xB4, - 0x3B, 0x35, 0xBE, 0xC2, 0xFB, 0x68, 0x54, 0x2E, 0x27, 0x89, 0x7B, 0x79, - /* x */ - 0x3A, 0xE9, 0xE5, 0x8C, 0x82, 0xF6, 0x3C, 0x30, 0x28, 0x2E, 0x1F, 0xE7, - 0xBB, 0xF4, 0x3F, 0xA7, 0x2C, 0x44, 0x6A, 0xF6, 0xF4, 0x61, 0x81, 0x29, - /* y */ - 0x09, 0x7E, 0x2C, 0x56, 0x67, 0xC2, 0x22, 0x3A, 0x90, 0x2A, 0xB5, 0xCA, - 0x44, 0x9D, 0x00, 0x84, 0xB7, 0xE5, 0xB3, 0xDE, 0x7C, 0xCC, 0x01, 0xC9, - /* order */ - 0xC3, 0x02, 0xF4, 0x1D, 0x93, 0x2A, 0x36, 0xCD, 0xA7, 0xA3, 0x46, 0x2F, - 0x9E, 0x9E, 0x91, 0x6B, 0x5B, 0xE8, 0xF1, 0x02, 0x9A, 0xC4, 0xAC, 0xC1 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 28 * 6]; -} _EC_brainpoolP224r1 = { - { - NID_X9_62_prime_field, 0, 28, 1 - }, - { - /* no seed */ - /* p */ - 0xD7, 0xC1, 0x34, 0xAA, 0x26, 0x43, 0x66, 0x86, 0x2A, 0x18, 0x30, 0x25, - 0x75, 0xD1, 0xD7, 0x87, 0xB0, 0x9F, 0x07, 0x57, 0x97, 0xDA, 0x89, 0xF5, - 0x7E, 0xC8, 0xC0, 0xFF, - /* a */ - 0x68, 0xA5, 0xE6, 0x2C, 0xA9, 0xCE, 0x6C, 0x1C, 0x29, 0x98, 0x03, 0xA6, - 0xC1, 0x53, 0x0B, 0x51, 0x4E, 0x18, 0x2A, 0xD8, 0xB0, 0x04, 0x2A, 0x59, - 0xCA, 0xD2, 0x9F, 0x43, - /* b */ - 0x25, 0x80, 0xF6, 0x3C, 0xCF, 0xE4, 0x41, 0x38, 0x87, 0x07, 0x13, 0xB1, - 0xA9, 0x23, 0x69, 0xE3, 0x3E, 0x21, 0x35, 0xD2, 0x66, 0xDB, 0xB3, 0x72, - 0x38, 0x6C, 0x40, 0x0B, - /* x */ - 0x0D, 0x90, 0x29, 0xAD, 0x2C, 0x7E, 0x5C, 0xF4, 0x34, 0x08, 0x23, 0xB2, - 0xA8, 0x7D, 0xC6, 0x8C, 0x9E, 0x4C, 0xE3, 0x17, 0x4C, 0x1E, 0x6E, 0xFD, - 0xEE, 0x12, 0xC0, 0x7D, - /* y */ - 0x58, 0xAA, 0x56, 0xF7, 0x72, 0xC0, 0x72, 0x6F, 0x24, 0xC6, 0xB8, 0x9E, - 0x4E, 0xCD, 0xAC, 0x24, 0x35, 0x4B, 0x9E, 0x99, 0xCA, 0xA3, 0xF6, 0xD3, - 0x76, 0x14, 0x02, 0xCD, - /* order */ - 0xD7, 0xC1, 0x34, 0xAA, 0x26, 0x43, 0x66, 0x86, 0x2A, 0x18, 0x30, 0x25, - 0x75, 0xD0, 0xFB, 0x98, 0xD1, 0x16, 0xBC, 0x4B, 0x6D, 0xDE, 0xBC, 0xA3, - 0xA5, 0xA7, 0x93, 0x9F - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 28 * 6]; -} _EC_brainpoolP224t1 = { - { - NID_X9_62_prime_field, 0, 28, 1 - }, - { - /* no seed */ - /* p */ - 0xD7, 0xC1, 0x34, 0xAA, 0x26, 0x43, 0x66, 0x86, 0x2A, 0x18, 0x30, 0x25, - 0x75, 0xD1, 0xD7, 0x87, 0xB0, 0x9F, 0x07, 0x57, 0x97, 0xDA, 0x89, 0xF5, - 0x7E, 0xC8, 0xC0, 0xFF, - /* a */ - 0xD7, 0xC1, 0x34, 0xAA, 0x26, 0x43, 0x66, 0x86, 0x2A, 0x18, 0x30, 0x25, - 0x75, 0xD1, 0xD7, 0x87, 0xB0, 0x9F, 0x07, 0x57, 0x97, 0xDA, 0x89, 0xF5, - 0x7E, 0xC8, 0xC0, 0xFC, - /* b */ - 0x4B, 0x33, 0x7D, 0x93, 0x41, 0x04, 0xCD, 0x7B, 0xEF, 0x27, 0x1B, 0xF6, - 0x0C, 0xED, 0x1E, 0xD2, 0x0D, 0xA1, 0x4C, 0x08, 0xB3, 0xBB, 0x64, 0xF1, - 0x8A, 0x60, 0x88, 0x8D, - /* x */ - 0x6A, 0xB1, 0xE3, 0x44, 0xCE, 0x25, 0xFF, 0x38, 0x96, 0x42, 0x4E, 0x7F, - 0xFE, 0x14, 0x76, 0x2E, 0xCB, 0x49, 0xF8, 0x92, 0x8A, 0xC0, 0xC7, 0x60, - 0x29, 0xB4, 0xD5, 0x80, - /* y */ - 0x03, 0x74, 0xE9, 0xF5, 0x14, 0x3E, 0x56, 0x8C, 0xD2, 0x3F, 0x3F, 0x4D, - 0x7C, 0x0D, 0x4B, 0x1E, 0x41, 0xC8, 0xCC, 0x0D, 0x1C, 0x6A, 0xBD, 0x5F, - 0x1A, 0x46, 0xDB, 0x4C, - /* order */ - 0xD7, 0xC1, 0x34, 0xAA, 0x26, 0x43, 0x66, 0x86, 0x2A, 0x18, 0x30, 0x25, - 0x75, 0xD0, 0xFB, 0x98, 0xD1, 0x16, 0xBC, 0x4B, 0x6D, 0xDE, 0xBC, 0xA3, - 0xA5, 0xA7, 0x93, 0x9F - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 32 * 6]; -} _EC_brainpoolP256r1 = { - { - NID_X9_62_prime_field, 0, 32, 1 - }, - { - /* no seed */ - /* p */ - 0xA9, 0xFB, 0x57, 0xDB, 0xA1, 0xEE, 0xA9, 0xBC, 0x3E, 0x66, 0x0A, 0x90, - 0x9D, 0x83, 0x8D, 0x72, 0x6E, 0x3B, 0xF6, 0x23, 0xD5, 0x26, 0x20, 0x28, - 0x20, 0x13, 0x48, 0x1D, 0x1F, 0x6E, 0x53, 0x77, - /* a */ - 0x7D, 0x5A, 0x09, 0x75, 0xFC, 0x2C, 0x30, 0x57, 0xEE, 0xF6, 0x75, 0x30, - 0x41, 0x7A, 0xFF, 0xE7, 0xFB, 0x80, 0x55, 0xC1, 0x26, 0xDC, 0x5C, 0x6C, - 0xE9, 0x4A, 0x4B, 0x44, 0xF3, 0x30, 0xB5, 0xD9, - /* b */ - 0x26, 0xDC, 0x5C, 0x6C, 0xE9, 0x4A, 0x4B, 0x44, 0xF3, 0x30, 0xB5, 0xD9, - 0xBB, 0xD7, 0x7C, 0xBF, 0x95, 0x84, 0x16, 0x29, 0x5C, 0xF7, 0xE1, 0xCE, - 0x6B, 0xCC, 0xDC, 0x18, 0xFF, 0x8C, 0x07, 0xB6, - /* x */ - 0x8B, 0xD2, 0xAE, 0xB9, 0xCB, 0x7E, 0x57, 0xCB, 0x2C, 0x4B, 0x48, 0x2F, - 0xFC, 0x81, 0xB7, 0xAF, 0xB9, 0xDE, 0x27, 0xE1, 0xE3, 0xBD, 0x23, 0xC2, - 0x3A, 0x44, 0x53, 0xBD, 0x9A, 0xCE, 0x32, 0x62, - /* y */ - 0x54, 0x7E, 0xF8, 0x35, 0xC3, 0xDA, 0xC4, 0xFD, 0x97, 0xF8, 0x46, 0x1A, - 0x14, 0x61, 0x1D, 0xC9, 0xC2, 0x77, 0x45, 0x13, 0x2D, 0xED, 0x8E, 0x54, - 0x5C, 0x1D, 0x54, 0xC7, 0x2F, 0x04, 0x69, 0x97, - /* order */ - 0xA9, 0xFB, 0x57, 0xDB, 0xA1, 0xEE, 0xA9, 0xBC, 0x3E, 0x66, 0x0A, 0x90, - 0x9D, 0x83, 0x8D, 0x71, 0x8C, 0x39, 0x7A, 0xA3, 0xB5, 0x61, 0xA6, 0xF7, - 0x90, 0x1E, 0x0E, 0x82, 0x97, 0x48, 0x56, 0xA7 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 32 * 6]; -} _EC_brainpoolP256t1 = { - { - NID_X9_62_prime_field, 0, 32, 1 - }, - { - /* no seed */ - /* p */ - 0xA9, 0xFB, 0x57, 0xDB, 0xA1, 0xEE, 0xA9, 0xBC, 0x3E, 0x66, 0x0A, 0x90, - 0x9D, 0x83, 0x8D, 0x72, 0x6E, 0x3B, 0xF6, 0x23, 0xD5, 0x26, 0x20, 0x28, - 0x20, 0x13, 0x48, 0x1D, 0x1F, 0x6E, 0x53, 0x77, - /* a */ - 0xA9, 0xFB, 0x57, 0xDB, 0xA1, 0xEE, 0xA9, 0xBC, 0x3E, 0x66, 0x0A, 0x90, - 0x9D, 0x83, 0x8D, 0x72, 0x6E, 0x3B, 0xF6, 0x23, 0xD5, 0x26, 0x20, 0x28, - 0x20, 0x13, 0x48, 0x1D, 0x1F, 0x6E, 0x53, 0x74, - /* b */ - 0x66, 0x2C, 0x61, 0xC4, 0x30, 0xD8, 0x4E, 0xA4, 0xFE, 0x66, 0xA7, 0x73, - 0x3D, 0x0B, 0x76, 0xB7, 0xBF, 0x93, 0xEB, 0xC4, 0xAF, 0x2F, 0x49, 0x25, - 0x6A, 0xE5, 0x81, 0x01, 0xFE, 0xE9, 0x2B, 0x04, - /* x */ - 0xA3, 0xE8, 0xEB, 0x3C, 0xC1, 0xCF, 0xE7, 0xB7, 0x73, 0x22, 0x13, 0xB2, - 0x3A, 0x65, 0x61, 0x49, 0xAF, 0xA1, 0x42, 0xC4, 0x7A, 0xAF, 0xBC, 0x2B, - 0x79, 0xA1, 0x91, 0x56, 0x2E, 0x13, 0x05, 0xF4, - /* y */ - 0x2D, 0x99, 0x6C, 0x82, 0x34, 0x39, 0xC5, 0x6D, 0x7F, 0x7B, 0x22, 0xE1, - 0x46, 0x44, 0x41, 0x7E, 0x69, 0xBC, 0xB6, 0xDE, 0x39, 0xD0, 0x27, 0x00, - 0x1D, 0xAB, 0xE8, 0xF3, 0x5B, 0x25, 0xC9, 0xBE, - /* order */ - 0xA9, 0xFB, 0x57, 0xDB, 0xA1, 0xEE, 0xA9, 0xBC, 0x3E, 0x66, 0x0A, 0x90, - 0x9D, 0x83, 0x8D, 0x71, 0x8C, 0x39, 0x7A, 0xA3, 0xB5, 0x61, 0xA6, 0xF7, - 0x90, 0x1E, 0x0E, 0x82, 0x97, 0x48, 0x56, 0xA7 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 40 * 6]; -} _EC_brainpoolP320r1 = { - { - NID_X9_62_prime_field, 0, 40, 1 - }, - { - /* no seed */ - /* p */ - 0xD3, 0x5E, 0x47, 0x20, 0x36, 0xBC, 0x4F, 0xB7, 0xE1, 0x3C, 0x78, 0x5E, - 0xD2, 0x01, 0xE0, 0x65, 0xF9, 0x8F, 0xCF, 0xA6, 0xF6, 0xF4, 0x0D, 0xEF, - 0x4F, 0x92, 0xB9, 0xEC, 0x78, 0x93, 0xEC, 0x28, 0xFC, 0xD4, 0x12, 0xB1, - 0xF1, 0xB3, 0x2E, 0x27, - /* a */ - 0x3E, 0xE3, 0x0B, 0x56, 0x8F, 0xBA, 0xB0, 0xF8, 0x83, 0xCC, 0xEB, 0xD4, - 0x6D, 0x3F, 0x3B, 0xB8, 0xA2, 0xA7, 0x35, 0x13, 0xF5, 0xEB, 0x79, 0xDA, - 0x66, 0x19, 0x0E, 0xB0, 0x85, 0xFF, 0xA9, 0xF4, 0x92, 0xF3, 0x75, 0xA9, - 0x7D, 0x86, 0x0E, 0xB4, - /* b */ - 0x52, 0x08, 0x83, 0x94, 0x9D, 0xFD, 0xBC, 0x42, 0xD3, 0xAD, 0x19, 0x86, - 0x40, 0x68, 0x8A, 0x6F, 0xE1, 0x3F, 0x41, 0x34, 0x95, 0x54, 0xB4, 0x9A, - 0xCC, 0x31, 0xDC, 0xCD, 0x88, 0x45, 0x39, 0x81, 0x6F, 0x5E, 0xB4, 0xAC, - 0x8F, 0xB1, 0xF1, 0xA6, - /* x */ - 0x43, 0xBD, 0x7E, 0x9A, 0xFB, 0x53, 0xD8, 0xB8, 0x52, 0x89, 0xBC, 0xC4, - 0x8E, 0xE5, 0xBF, 0xE6, 0xF2, 0x01, 0x37, 0xD1, 0x0A, 0x08, 0x7E, 0xB6, - 0xE7, 0x87, 0x1E, 0x2A, 0x10, 0xA5, 0x99, 0xC7, 0x10, 0xAF, 0x8D, 0x0D, - 0x39, 0xE2, 0x06, 0x11, - /* y */ - 0x14, 0xFD, 0xD0, 0x55, 0x45, 0xEC, 0x1C, 0xC8, 0xAB, 0x40, 0x93, 0x24, - 0x7F, 0x77, 0x27, 0x5E, 0x07, 0x43, 0xFF, 0xED, 0x11, 0x71, 0x82, 0xEA, - 0xA9, 0xC7, 0x78, 0x77, 0xAA, 0xAC, 0x6A, 0xC7, 0xD3, 0x52, 0x45, 0xD1, - 0x69, 0x2E, 0x8E, 0xE1, - /* order */ - 0xD3, 0x5E, 0x47, 0x20, 0x36, 0xBC, 0x4F, 0xB7, 0xE1, 0x3C, 0x78, 0x5E, - 0xD2, 0x01, 0xE0, 0x65, 0xF9, 0x8F, 0xCF, 0xA5, 0xB6, 0x8F, 0x12, 0xA3, - 0x2D, 0x48, 0x2E, 0xC7, 0xEE, 0x86, 0x58, 0xE9, 0x86, 0x91, 0x55, 0x5B, - 0x44, 0xC5, 0x93, 0x11 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 40 * 6]; -} _EC_brainpoolP320t1 = { - { - NID_X9_62_prime_field, 0, 40, 1 - }, - { - /* no seed */ - /* p */ - 0xD3, 0x5E, 0x47, 0x20, 0x36, 0xBC, 0x4F, 0xB7, 0xE1, 0x3C, 0x78, 0x5E, - 0xD2, 0x01, 0xE0, 0x65, 0xF9, 0x8F, 0xCF, 0xA6, 0xF6, 0xF4, 0x0D, 0xEF, - 0x4F, 0x92, 0xB9, 0xEC, 0x78, 0x93, 0xEC, 0x28, 0xFC, 0xD4, 0x12, 0xB1, - 0xF1, 0xB3, 0x2E, 0x27, - /* a */ - 0xD3, 0x5E, 0x47, 0x20, 0x36, 0xBC, 0x4F, 0xB7, 0xE1, 0x3C, 0x78, 0x5E, - 0xD2, 0x01, 0xE0, 0x65, 0xF9, 0x8F, 0xCF, 0xA6, 0xF6, 0xF4, 0x0D, 0xEF, - 0x4F, 0x92, 0xB9, 0xEC, 0x78, 0x93, 0xEC, 0x28, 0xFC, 0xD4, 0x12, 0xB1, - 0xF1, 0xB3, 0x2E, 0x24, - /* b */ - 0xA7, 0xF5, 0x61, 0xE0, 0x38, 0xEB, 0x1E, 0xD5, 0x60, 0xB3, 0xD1, 0x47, - 0xDB, 0x78, 0x20, 0x13, 0x06, 0x4C, 0x19, 0xF2, 0x7E, 0xD2, 0x7C, 0x67, - 0x80, 0xAA, 0xF7, 0x7F, 0xB8, 0xA5, 0x47, 0xCE, 0xB5, 0xB4, 0xFE, 0xF4, - 0x22, 0x34, 0x03, 0x53, - /* x */ - 0x92, 0x5B, 0xE9, 0xFB, 0x01, 0xAF, 0xC6, 0xFB, 0x4D, 0x3E, 0x7D, 0x49, - 0x90, 0x01, 0x0F, 0x81, 0x34, 0x08, 0xAB, 0x10, 0x6C, 0x4F, 0x09, 0xCB, - 0x7E, 0xE0, 0x78, 0x68, 0xCC, 0x13, 0x6F, 0xFF, 0x33, 0x57, 0xF6, 0x24, - 0xA2, 0x1B, 0xED, 0x52, - /* y */ - 0x63, 0xBA, 0x3A, 0x7A, 0x27, 0x48, 0x3E, 0xBF, 0x66, 0x71, 0xDB, 0xEF, - 0x7A, 0xBB, 0x30, 0xEB, 0xEE, 0x08, 0x4E, 0x58, 0xA0, 0xB0, 0x77, 0xAD, - 0x42, 0xA5, 0xA0, 0x98, 0x9D, 0x1E, 0xE7, 0x1B, 0x1B, 0x9B, 0xC0, 0x45, - 0x5F, 0xB0, 0xD2, 0xC3, - /* order */ - 0xD3, 0x5E, 0x47, 0x20, 0x36, 0xBC, 0x4F, 0xB7, 0xE1, 0x3C, 0x78, 0x5E, - 0xD2, 0x01, 0xE0, 0x65, 0xF9, 0x8F, 0xCF, 0xA5, 0xB6, 0x8F, 0x12, 0xA3, - 0x2D, 0x48, 0x2E, 0xC7, 0xEE, 0x86, 0x58, 0xE9, 0x86, 0x91, 0x55, 0x5B, - 0x44, 0xC5, 0x93, 0x11 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 48 * 6]; -} _EC_brainpoolP384r1 = { - { - NID_X9_62_prime_field, 0, 48, 1 - }, - { - /* no seed */ - /* p */ - 0x8C, 0xB9, 0x1E, 0x82, 0xA3, 0x38, 0x6D, 0x28, 0x0F, 0x5D, 0x6F, 0x7E, - 0x50, 0xE6, 0x41, 0xDF, 0x15, 0x2F, 0x71, 0x09, 0xED, 0x54, 0x56, 0xB4, - 0x12, 0xB1, 0xDA, 0x19, 0x7F, 0xB7, 0x11, 0x23, 0xAC, 0xD3, 0xA7, 0x29, - 0x90, 0x1D, 0x1A, 0x71, 0x87, 0x47, 0x00, 0x13, 0x31, 0x07, 0xEC, 0x53, - /* a */ - 0x7B, 0xC3, 0x82, 0xC6, 0x3D, 0x8C, 0x15, 0x0C, 0x3C, 0x72, 0x08, 0x0A, - 0xCE, 0x05, 0xAF, 0xA0, 0xC2, 0xBE, 0xA2, 0x8E, 0x4F, 0xB2, 0x27, 0x87, - 0x13, 0x91, 0x65, 0xEF, 0xBA, 0x91, 0xF9, 0x0F, 0x8A, 0xA5, 0x81, 0x4A, - 0x50, 0x3A, 0xD4, 0xEB, 0x04, 0xA8, 0xC7, 0xDD, 0x22, 0xCE, 0x28, 0x26, - /* b */ - 0x04, 0xA8, 0xC7, 0xDD, 0x22, 0xCE, 0x28, 0x26, 0x8B, 0x39, 0xB5, 0x54, - 0x16, 0xF0, 0x44, 0x7C, 0x2F, 0xB7, 0x7D, 0xE1, 0x07, 0xDC, 0xD2, 0xA6, - 0x2E, 0x88, 0x0E, 0xA5, 0x3E, 0xEB, 0x62, 0xD5, 0x7C, 0xB4, 0x39, 0x02, - 0x95, 0xDB, 0xC9, 0x94, 0x3A, 0xB7, 0x86, 0x96, 0xFA, 0x50, 0x4C, 0x11, - /* x */ - 0x1D, 0x1C, 0x64, 0xF0, 0x68, 0xCF, 0x45, 0xFF, 0xA2, 0xA6, 0x3A, 0x81, - 0xB7, 0xC1, 0x3F, 0x6B, 0x88, 0x47, 0xA3, 0xE7, 0x7E, 0xF1, 0x4F, 0xE3, - 0xDB, 0x7F, 0xCA, 0xFE, 0x0C, 0xBD, 0x10, 0xE8, 0xE8, 0x26, 0xE0, 0x34, - 0x36, 0xD6, 0x46, 0xAA, 0xEF, 0x87, 0xB2, 0xE2, 0x47, 0xD4, 0xAF, 0x1E, - /* y */ - 0x8A, 0xBE, 0x1D, 0x75, 0x20, 0xF9, 0xC2, 0xA4, 0x5C, 0xB1, 0xEB, 0x8E, - 0x95, 0xCF, 0xD5, 0x52, 0x62, 0xB7, 0x0B, 0x29, 0xFE, 0xEC, 0x58, 0x64, - 0xE1, 0x9C, 0x05, 0x4F, 0xF9, 0x91, 0x29, 0x28, 0x0E, 0x46, 0x46, 0x21, - 0x77, 0x91, 0x81, 0x11, 0x42, 0x82, 0x03, 0x41, 0x26, 0x3C, 0x53, 0x15, - /* order */ - 0x8C, 0xB9, 0x1E, 0x82, 0xA3, 0x38, 0x6D, 0x28, 0x0F, 0x5D, 0x6F, 0x7E, - 0x50, 0xE6, 0x41, 0xDF, 0x15, 0x2F, 0x71, 0x09, 0xED, 0x54, 0x56, 0xB3, - 0x1F, 0x16, 0x6E, 0x6C, 0xAC, 0x04, 0x25, 0xA7, 0xCF, 0x3A, 0xB6, 0xAF, - 0x6B, 0x7F, 0xC3, 0x10, 0x3B, 0x88, 0x32, 0x02, 0xE9, 0x04, 0x65, 0x65 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 48 * 6]; -} _EC_brainpoolP384t1 = { - { - NID_X9_62_prime_field, 0, 48, 1 - }, - { - /* no seed */ - /* p */ - 0x8C, 0xB9, 0x1E, 0x82, 0xA3, 0x38, 0x6D, 0x28, 0x0F, 0x5D, 0x6F, 0x7E, - 0x50, 0xE6, 0x41, 0xDF, 0x15, 0x2F, 0x71, 0x09, 0xED, 0x54, 0x56, 0xB4, - 0x12, 0xB1, 0xDA, 0x19, 0x7F, 0xB7, 0x11, 0x23, 0xAC, 0xD3, 0xA7, 0x29, - 0x90, 0x1D, 0x1A, 0x71, 0x87, 0x47, 0x00, 0x13, 0x31, 0x07, 0xEC, 0x53, - /* a */ - 0x8C, 0xB9, 0x1E, 0x82, 0xA3, 0x38, 0x6D, 0x28, 0x0F, 0x5D, 0x6F, 0x7E, - 0x50, 0xE6, 0x41, 0xDF, 0x15, 0x2F, 0x71, 0x09, 0xED, 0x54, 0x56, 0xB4, - 0x12, 0xB1, 0xDA, 0x19, 0x7F, 0xB7, 0x11, 0x23, 0xAC, 0xD3, 0xA7, 0x29, - 0x90, 0x1D, 0x1A, 0x71, 0x87, 0x47, 0x00, 0x13, 0x31, 0x07, 0xEC, 0x50, - /* b */ - 0x7F, 0x51, 0x9E, 0xAD, 0xA7, 0xBD, 0xA8, 0x1B, 0xD8, 0x26, 0xDB, 0xA6, - 0x47, 0x91, 0x0F, 0x8C, 0x4B, 0x93, 0x46, 0xED, 0x8C, 0xCD, 0xC6, 0x4E, - 0x4B, 0x1A, 0xBD, 0x11, 0x75, 0x6D, 0xCE, 0x1D, 0x20, 0x74, 0xAA, 0x26, - 0x3B, 0x88, 0x80, 0x5C, 0xED, 0x70, 0x35, 0x5A, 0x33, 0xB4, 0x71, 0xEE, - /* x */ - 0x18, 0xDE, 0x98, 0xB0, 0x2D, 0xB9, 0xA3, 0x06, 0xF2, 0xAF, 0xCD, 0x72, - 0x35, 0xF7, 0x2A, 0x81, 0x9B, 0x80, 0xAB, 0x12, 0xEB, 0xD6, 0x53, 0x17, - 0x24, 0x76, 0xFE, 0xCD, 0x46, 0x2A, 0xAB, 0xFF, 0xC4, 0xFF, 0x19, 0x1B, - 0x94, 0x6A, 0x5F, 0x54, 0xD8, 0xD0, 0xAA, 0x2F, 0x41, 0x88, 0x08, 0xCC, - /* y */ - 0x25, 0xAB, 0x05, 0x69, 0x62, 0xD3, 0x06, 0x51, 0xA1, 0x14, 0xAF, 0xD2, - 0x75, 0x5A, 0xD3, 0x36, 0x74, 0x7F, 0x93, 0x47, 0x5B, 0x7A, 0x1F, 0xCA, - 0x3B, 0x88, 0xF2, 0xB6, 0xA2, 0x08, 0xCC, 0xFE, 0x46, 0x94, 0x08, 0x58, - 0x4D, 0xC2, 0xB2, 0x91, 0x26, 0x75, 0xBF, 0x5B, 0x9E, 0x58, 0x29, 0x28, - /* order */ - 0x8C, 0xB9, 0x1E, 0x82, 0xA3, 0x38, 0x6D, 0x28, 0x0F, 0x5D, 0x6F, 0x7E, - 0x50, 0xE6, 0x41, 0xDF, 0x15, 0x2F, 0x71, 0x09, 0xED, 0x54, 0x56, 0xB3, - 0x1F, 0x16, 0x6E, 0x6C, 0xAC, 0x04, 0x25, 0xA7, 0xCF, 0x3A, 0xB6, 0xAF, - 0x6B, 0x7F, 0xC3, 0x10, 0x3B, 0x88, 0x32, 0x02, 0xE9, 0x04, 0x65, 0x65 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 64 * 6]; -} _EC_brainpoolP512r1 = { - { - NID_X9_62_prime_field, 0, 64, 1 - }, - { - /* no seed */ - /* p */ - 0xAA, 0xDD, 0x9D, 0xB8, 0xDB, 0xE9, 0xC4, 0x8B, 0x3F, 0xD4, 0xE6, 0xAE, - 0x33, 0xC9, 0xFC, 0x07, 0xCB, 0x30, 0x8D, 0xB3, 0xB3, 0xC9, 0xD2, 0x0E, - 0xD6, 0x63, 0x9C, 0xCA, 0x70, 0x33, 0x08, 0x71, 0x7D, 0x4D, 0x9B, 0x00, - 0x9B, 0xC6, 0x68, 0x42, 0xAE, 0xCD, 0xA1, 0x2A, 0xE6, 0xA3, 0x80, 0xE6, - 0x28, 0x81, 0xFF, 0x2F, 0x2D, 0x82, 0xC6, 0x85, 0x28, 0xAA, 0x60, 0x56, - 0x58, 0x3A, 0x48, 0xF3, - /* a */ - 0x78, 0x30, 0xA3, 0x31, 0x8B, 0x60, 0x3B, 0x89, 0xE2, 0x32, 0x71, 0x45, - 0xAC, 0x23, 0x4C, 0xC5, 0x94, 0xCB, 0xDD, 0x8D, 0x3D, 0xF9, 0x16, 0x10, - 0xA8, 0x34, 0x41, 0xCA, 0xEA, 0x98, 0x63, 0xBC, 0x2D, 0xED, 0x5D, 0x5A, - 0xA8, 0x25, 0x3A, 0xA1, 0x0A, 0x2E, 0xF1, 0xC9, 0x8B, 0x9A, 0xC8, 0xB5, - 0x7F, 0x11, 0x17, 0xA7, 0x2B, 0xF2, 0xC7, 0xB9, 0xE7, 0xC1, 0xAC, 0x4D, - 0x77, 0xFC, 0x94, 0xCA, - /* b */ - 0x3D, 0xF9, 0x16, 0x10, 0xA8, 0x34, 0x41, 0xCA, 0xEA, 0x98, 0x63, 0xBC, - 0x2D, 0xED, 0x5D, 0x5A, 0xA8, 0x25, 0x3A, 0xA1, 0x0A, 0x2E, 0xF1, 0xC9, - 0x8B, 0x9A, 0xC8, 0xB5, 0x7F, 0x11, 0x17, 0xA7, 0x2B, 0xF2, 0xC7, 0xB9, - 0xE7, 0xC1, 0xAC, 0x4D, 0x77, 0xFC, 0x94, 0xCA, 0xDC, 0x08, 0x3E, 0x67, - 0x98, 0x40, 0x50, 0xB7, 0x5E, 0xBA, 0xE5, 0xDD, 0x28, 0x09, 0xBD, 0x63, - 0x80, 0x16, 0xF7, 0x23, - /* x */ - 0x81, 0xAE, 0xE4, 0xBD, 0xD8, 0x2E, 0xD9, 0x64, 0x5A, 0x21, 0x32, 0x2E, - 0x9C, 0x4C, 0x6A, 0x93, 0x85, 0xED, 0x9F, 0x70, 0xB5, 0xD9, 0x16, 0xC1, - 0xB4, 0x3B, 0x62, 0xEE, 0xF4, 0xD0, 0x09, 0x8E, 0xFF, 0x3B, 0x1F, 0x78, - 0xE2, 0xD0, 0xD4, 0x8D, 0x50, 0xD1, 0x68, 0x7B, 0x93, 0xB9, 0x7D, 0x5F, - 0x7C, 0x6D, 0x50, 0x47, 0x40, 0x6A, 0x5E, 0x68, 0x8B, 0x35, 0x22, 0x09, - 0xBC, 0xB9, 0xF8, 0x22, - /* y */ - 0x7D, 0xDE, 0x38, 0x5D, 0x56, 0x63, 0x32, 0xEC, 0xC0, 0xEA, 0xBF, 0xA9, - 0xCF, 0x78, 0x22, 0xFD, 0xF2, 0x09, 0xF7, 0x00, 0x24, 0xA5, 0x7B, 0x1A, - 0xA0, 0x00, 0xC5, 0x5B, 0x88, 0x1F, 0x81, 0x11, 0xB2, 0xDC, 0xDE, 0x49, - 0x4A, 0x5F, 0x48, 0x5E, 0x5B, 0xCA, 0x4B, 0xD8, 0x8A, 0x27, 0x63, 0xAE, - 0xD1, 0xCA, 0x2B, 0x2F, 0xA8, 0xF0, 0x54, 0x06, 0x78, 0xCD, 0x1E, 0x0F, - 0x3A, 0xD8, 0x08, 0x92, - /* order */ - 0xAA, 0xDD, 0x9D, 0xB8, 0xDB, 0xE9, 0xC4, 0x8B, 0x3F, 0xD4, 0xE6, 0xAE, - 0x33, 0xC9, 0xFC, 0x07, 0xCB, 0x30, 0x8D, 0xB3, 0xB3, 0xC9, 0xD2, 0x0E, - 0xD6, 0x63, 0x9C, 0xCA, 0x70, 0x33, 0x08, 0x70, 0x55, 0x3E, 0x5C, 0x41, - 0x4C, 0xA9, 0x26, 0x19, 0x41, 0x86, 0x61, 0x19, 0x7F, 0xAC, 0x10, 0x47, - 0x1D, 0xB1, 0xD3, 0x81, 0x08, 0x5D, 0xDA, 0xDD, 0xB5, 0x87, 0x96, 0x82, - 0x9C, 0xA9, 0x00, 0x69 - } -}; - -static const struct { - EC_CURVE_DATA h; - unsigned char data[0 + 64 * 6]; -} _EC_brainpoolP512t1 = { - { - NID_X9_62_prime_field, 0, 64, 1 - }, - { - /* no seed */ - /* p */ - 0xAA, 0xDD, 0x9D, 0xB8, 0xDB, 0xE9, 0xC4, 0x8B, 0x3F, 0xD4, 0xE6, 0xAE, - 0x33, 0xC9, 0xFC, 0x07, 0xCB, 0x30, 0x8D, 0xB3, 0xB3, 0xC9, 0xD2, 0x0E, - 0xD6, 0x63, 0x9C, 0xCA, 0x70, 0x33, 0x08, 0x71, 0x7D, 0x4D, 0x9B, 0x00, - 0x9B, 0xC6, 0x68, 0x42, 0xAE, 0xCD, 0xA1, 0x2A, 0xE6, 0xA3, 0x80, 0xE6, - 0x28, 0x81, 0xFF, 0x2F, 0x2D, 0x82, 0xC6, 0x85, 0x28, 0xAA, 0x60, 0x56, - 0x58, 0x3A, 0x48, 0xF3, - /* a */ - 0xAA, 0xDD, 0x9D, 0xB8, 0xDB, 0xE9, 0xC4, 0x8B, 0x3F, 0xD4, 0xE6, 0xAE, - 0x33, 0xC9, 0xFC, 0x07, 0xCB, 0x30, 0x8D, 0xB3, 0xB3, 0xC9, 0xD2, 0x0E, - 0xD6, 0x63, 0x9C, 0xCA, 0x70, 0x33, 0x08, 0x71, 0x7D, 0x4D, 0x9B, 0x00, - 0x9B, 0xC6, 0x68, 0x42, 0xAE, 0xCD, 0xA1, 0x2A, 0xE6, 0xA3, 0x80, 0xE6, - 0x28, 0x81, 0xFF, 0x2F, 0x2D, 0x82, 0xC6, 0x85, 0x28, 0xAA, 0x60, 0x56, - 0x58, 0x3A, 0x48, 0xF0, - /* b */ - 0x7C, 0xBB, 0xBC, 0xF9, 0x44, 0x1C, 0xFA, 0xB7, 0x6E, 0x18, 0x90, 0xE4, - 0x68, 0x84, 0xEA, 0xE3, 0x21, 0xF7, 0x0C, 0x0B, 0xCB, 0x49, 0x81, 0x52, - 0x78, 0x97, 0x50, 0x4B, 0xEC, 0x3E, 0x36, 0xA6, 0x2B, 0xCD, 0xFA, 0x23, - 0x04, 0x97, 0x65, 0x40, 0xF6, 0x45, 0x00, 0x85, 0xF2, 0xDA, 0xE1, 0x45, - 0xC2, 0x25, 0x53, 0xB4, 0x65, 0x76, 0x36, 0x89, 0x18, 0x0E, 0xA2, 0x57, - 0x18, 0x67, 0x42, 0x3E, - /* x */ - 0x64, 0x0E, 0xCE, 0x5C, 0x12, 0x78, 0x87, 0x17, 0xB9, 0xC1, 0xBA, 0x06, - 0xCB, 0xC2, 0xA6, 0xFE, 0xBA, 0x85, 0x84, 0x24, 0x58, 0xC5, 0x6D, 0xDE, - 0x9D, 0xB1, 0x75, 0x8D, 0x39, 0xC0, 0x31, 0x3D, 0x82, 0xBA, 0x51, 0x73, - 0x5C, 0xDB, 0x3E, 0xA4, 0x99, 0xAA, 0x77, 0xA7, 0xD6, 0x94, 0x3A, 0x64, - 0xF7, 0xA3, 0xF2, 0x5F, 0xE2, 0x6F, 0x06, 0xB5, 0x1B, 0xAA, 0x26, 0x96, - 0xFA, 0x90, 0x35, 0xDA, - /* y */ - 0x5B, 0x53, 0x4B, 0xD5, 0x95, 0xF5, 0xAF, 0x0F, 0xA2, 0xC8, 0x92, 0x37, - 0x6C, 0x84, 0xAC, 0xE1, 0xBB, 0x4E, 0x30, 0x19, 0xB7, 0x16, 0x34, 0xC0, - 0x11, 0x31, 0x15, 0x9C, 0xAE, 0x03, 0xCE, 0xE9, 0xD9, 0x93, 0x21, 0x84, - 0xBE, 0xEF, 0x21, 0x6B, 0xD7, 0x1D, 0xF2, 0xDA, 0xDF, 0x86, 0xA6, 0x27, - 0x30, 0x6E, 0xCF, 0xF9, 0x6D, 0xBB, 0x8B, 0xAC, 0xE1, 0x98, 0xB6, 0x1E, - 0x00, 0xF8, 0xB3, 0x32, - /* order */ - 0xAA, 0xDD, 0x9D, 0xB8, 0xDB, 0xE9, 0xC4, 0x8B, 0x3F, 0xD4, 0xE6, 0xAE, - 0x33, 0xC9, 0xFC, 0x07, 0xCB, 0x30, 0x8D, 0xB3, 0xB3, 0xC9, 0xD2, 0x0E, - 0xD6, 0x63, 0x9C, 0xCA, 0x70, 0x33, 0x08, 0x70, 0x55, 0x3E, 0x5C, 0x41, - 0x4C, 0xA9, 0x26, 0x19, 0x41, 0x86, 0x61, 0x19, 0x7F, 0xAC, 0x10, 0x47, - 0x1D, 0xB1, 0xD3, 0x81, 0x08, 0x5D, 0xDA, 0xDD, 0xB5, 0x87, 0x96, 0x82, - 0x9C, 0xA9, 0x00, 0x69 - } -}; - -typedef struct _ec_list_element_st { - int nid; - const EC_CURVE_DATA *data; - const EC_METHOD *(*meth) (void); - const char *comment; -} ec_list_element; - -static const ec_list_element curve_list[] = { - /* prime field curves */ - /* secg curves */ - {NID_secp112r1, &_EC_SECG_PRIME_112R1.h, 0, - "SECG/WTLS curve over a 112 bit prime field"}, - {NID_secp112r2, &_EC_SECG_PRIME_112R2.h, 0, - "SECG curve over a 112 bit prime field"}, - {NID_secp128r1, &_EC_SECG_PRIME_128R1.h, 0, - "SECG curve over a 128 bit prime field"}, - {NID_secp128r2, &_EC_SECG_PRIME_128R2.h, 0, - "SECG curve over a 128 bit prime field"}, - {NID_secp160k1, &_EC_SECG_PRIME_160K1.h, 0, - "SECG curve over a 160 bit prime field"}, - {NID_secp160r1, &_EC_SECG_PRIME_160R1.h, 0, - "SECG curve over a 160 bit prime field"}, - {NID_secp160r2, &_EC_SECG_PRIME_160R2.h, 0, - "SECG/WTLS curve over a 160 bit prime field"}, - /* SECG secp192r1 is the same as X9.62 prime192v1 and hence omitted */ - {NID_secp192k1, &_EC_SECG_PRIME_192K1.h, 0, - "SECG curve over a 192 bit prime field"}, - {NID_secp224k1, &_EC_SECG_PRIME_224K1.h, 0, - "SECG curve over a 224 bit prime field"}, -#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 - {NID_secp224r1, &_EC_NIST_PRIME_224.h, EC_GFp_nistp224_method, - "NIST/SECG curve over a 224 bit prime field"}, -#else - {NID_secp224r1, &_EC_NIST_PRIME_224.h, 0, - "NIST/SECG curve over a 224 bit prime field"}, -#endif - {NID_secp256k1, &_EC_SECG_PRIME_256K1.h, 0, - "SECG curve over a 256 bit prime field"}, - /* SECG secp256r1 is the same as X9.62 prime256v1 and hence omitted */ - {NID_secp384r1, &_EC_NIST_PRIME_384.h, 0, - "NIST/SECG curve over a 384 bit prime field"}, -#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 - {NID_secp521r1, &_EC_NIST_PRIME_521.h, EC_GFp_nistp521_method, - "NIST/SECG curve over a 521 bit prime field"}, -#else - {NID_secp521r1, &_EC_NIST_PRIME_521.h, 0, - "NIST/SECG curve over a 521 bit prime field"}, -#endif - /* X9.62 curves */ - {NID_X9_62_prime192v1, &_EC_NIST_PRIME_192.h, 0, - "NIST/X9.62/SECG curve over a 192 bit prime field"}, - {NID_X9_62_prime192v2, &_EC_X9_62_PRIME_192V2.h, 0, - "X9.62 curve over a 192 bit prime field"}, - {NID_X9_62_prime192v3, &_EC_X9_62_PRIME_192V3.h, 0, - "X9.62 curve over a 192 bit prime field"}, - {NID_X9_62_prime239v1, &_EC_X9_62_PRIME_239V1.h, 0, - "X9.62 curve over a 239 bit prime field"}, - {NID_X9_62_prime239v2, &_EC_X9_62_PRIME_239V2.h, 0, - "X9.62 curve over a 239 bit prime field"}, - {NID_X9_62_prime239v3, &_EC_X9_62_PRIME_239V3.h, 0, - "X9.62 curve over a 239 bit prime field"}, - {NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1.h, -#if defined(ECP_NISTZ256_ASM) - EC_GFp_nistz256_method, -#elif !defined(OPENSSL_NO_EC_NISTP_64_GCC_128) - EC_GFp_nistp256_method, -#else - 0, -#endif - "X9.62/SECG curve over a 256 bit prime field"}, -#ifndef OPENSSL_NO_EC2M - /* characteristic two field curves */ - /* NIST/SECG curves */ - {NID_sect113r1, &_EC_SECG_CHAR2_113R1.h, 0, - "SECG curve over a 113 bit binary field"}, - {NID_sect113r2, &_EC_SECG_CHAR2_113R2.h, 0, - "SECG curve over a 113 bit binary field"}, - {NID_sect131r1, &_EC_SECG_CHAR2_131R1.h, 0, - "SECG/WTLS curve over a 131 bit binary field"}, - {NID_sect131r2, &_EC_SECG_CHAR2_131R2.h, 0, - "SECG curve over a 131 bit binary field"}, - {NID_sect163k1, &_EC_NIST_CHAR2_163K.h, 0, - "NIST/SECG/WTLS curve over a 163 bit binary field"}, - {NID_sect163r1, &_EC_SECG_CHAR2_163R1.h, 0, - "SECG curve over a 163 bit binary field"}, - {NID_sect163r2, &_EC_NIST_CHAR2_163B.h, 0, - "NIST/SECG curve over a 163 bit binary field"}, - {NID_sect193r1, &_EC_SECG_CHAR2_193R1.h, 0, - "SECG curve over a 193 bit binary field"}, - {NID_sect193r2, &_EC_SECG_CHAR2_193R2.h, 0, - "SECG curve over a 193 bit binary field"}, - {NID_sect233k1, &_EC_NIST_CHAR2_233K.h, 0, - "NIST/SECG/WTLS curve over a 233 bit binary field"}, - {NID_sect233r1, &_EC_NIST_CHAR2_233B.h, 0, - "NIST/SECG/WTLS curve over a 233 bit binary field"}, - {NID_sect239k1, &_EC_SECG_CHAR2_239K1.h, 0, - "SECG curve over a 239 bit binary field"}, - {NID_sect283k1, &_EC_NIST_CHAR2_283K.h, 0, - "NIST/SECG curve over a 283 bit binary field"}, - {NID_sect283r1, &_EC_NIST_CHAR2_283B.h, 0, - "NIST/SECG curve over a 283 bit binary field"}, - {NID_sect409k1, &_EC_NIST_CHAR2_409K.h, 0, - "NIST/SECG curve over a 409 bit binary field"}, - {NID_sect409r1, &_EC_NIST_CHAR2_409B.h, 0, - "NIST/SECG curve over a 409 bit binary field"}, - {NID_sect571k1, &_EC_NIST_CHAR2_571K.h, 0, - "NIST/SECG curve over a 571 bit binary field"}, - {NID_sect571r1, &_EC_NIST_CHAR2_571B.h, 0, - "NIST/SECG curve over a 571 bit binary field"}, - /* X9.62 curves */ - {NID_X9_62_c2pnb163v1, &_EC_X9_62_CHAR2_163V1.h, 0, - "X9.62 curve over a 163 bit binary field"}, - {NID_X9_62_c2pnb163v2, &_EC_X9_62_CHAR2_163V2.h, 0, - "X9.62 curve over a 163 bit binary field"}, - {NID_X9_62_c2pnb163v3, &_EC_X9_62_CHAR2_163V3.h, 0, - "X9.62 curve over a 163 bit binary field"}, - {NID_X9_62_c2pnb176v1, &_EC_X9_62_CHAR2_176V1.h, 0, - "X9.62 curve over a 176 bit binary field"}, - {NID_X9_62_c2tnb191v1, &_EC_X9_62_CHAR2_191V1.h, 0, - "X9.62 curve over a 191 bit binary field"}, - {NID_X9_62_c2tnb191v2, &_EC_X9_62_CHAR2_191V2.h, 0, - "X9.62 curve over a 191 bit binary field"}, - {NID_X9_62_c2tnb191v3, &_EC_X9_62_CHAR2_191V3.h, 0, - "X9.62 curve over a 191 bit binary field"}, - {NID_X9_62_c2pnb208w1, &_EC_X9_62_CHAR2_208W1.h, 0, - "X9.62 curve over a 208 bit binary field"}, - {NID_X9_62_c2tnb239v1, &_EC_X9_62_CHAR2_239V1.h, 0, - "X9.62 curve over a 239 bit binary field"}, - {NID_X9_62_c2tnb239v2, &_EC_X9_62_CHAR2_239V2.h, 0, - "X9.62 curve over a 239 bit binary field"}, - {NID_X9_62_c2tnb239v3, &_EC_X9_62_CHAR2_239V3.h, 0, - "X9.62 curve over a 239 bit binary field"}, - {NID_X9_62_c2pnb272w1, &_EC_X9_62_CHAR2_272W1.h, 0, - "X9.62 curve over a 272 bit binary field"}, - {NID_X9_62_c2pnb304w1, &_EC_X9_62_CHAR2_304W1.h, 0, - "X9.62 curve over a 304 bit binary field"}, - {NID_X9_62_c2tnb359v1, &_EC_X9_62_CHAR2_359V1.h, 0, - "X9.62 curve over a 359 bit binary field"}, - {NID_X9_62_c2pnb368w1, &_EC_X9_62_CHAR2_368W1.h, 0, - "X9.62 curve over a 368 bit binary field"}, - {NID_X9_62_c2tnb431r1, &_EC_X9_62_CHAR2_431R1.h, 0, - "X9.62 curve over a 431 bit binary field"}, - /* - * the WAP/WTLS curves [unlike SECG, spec has its own OIDs for curves - * from X9.62] - */ - {NID_wap_wsg_idm_ecid_wtls1, &_EC_WTLS_1.h, 0, - "WTLS curve over a 113 bit binary field"}, - {NID_wap_wsg_idm_ecid_wtls3, &_EC_NIST_CHAR2_163K.h, 0, - "NIST/SECG/WTLS curve over a 163 bit binary field"}, - {NID_wap_wsg_idm_ecid_wtls4, &_EC_SECG_CHAR2_113R1.h, 0, - "SECG curve over a 113 bit binary field"}, - {NID_wap_wsg_idm_ecid_wtls5, &_EC_X9_62_CHAR2_163V1.h, 0, - "X9.62 curve over a 163 bit binary field"}, -#endif - {NID_wap_wsg_idm_ecid_wtls6, &_EC_SECG_PRIME_112R1.h, 0, - "SECG/WTLS curve over a 112 bit prime field"}, - {NID_wap_wsg_idm_ecid_wtls7, &_EC_SECG_PRIME_160R2.h, 0, - "SECG/WTLS curve over a 160 bit prime field"}, - {NID_wap_wsg_idm_ecid_wtls8, &_EC_WTLS_8.h, 0, - "WTLS curve over a 112 bit prime field"}, - {NID_wap_wsg_idm_ecid_wtls9, &_EC_WTLS_9.h, 0, - "WTLS curve over a 160 bit prime field"}, -#ifndef OPENSSL_NO_EC2M - {NID_wap_wsg_idm_ecid_wtls10, &_EC_NIST_CHAR2_233K.h, 0, - "NIST/SECG/WTLS curve over a 233 bit binary field"}, - {NID_wap_wsg_idm_ecid_wtls11, &_EC_NIST_CHAR2_233B.h, 0, - "NIST/SECG/WTLS curve over a 233 bit binary field"}, -#endif - {NID_wap_wsg_idm_ecid_wtls12, &_EC_WTLS_12.h, 0, - "WTLS curvs over a 224 bit prime field"}, -#ifndef OPENSSL_NO_EC2M - /* IPSec curves */ - {NID_ipsec3, &_EC_IPSEC_155_ID3.h, 0, - "\n\tIPSec/IKE/Oakley curve #3 over a 155 bit binary field.\n" - "\tNot suitable for ECDSA.\n\tQuestionable extension field!"}, - {NID_ipsec4, &_EC_IPSEC_185_ID4.h, 0, - "\n\tIPSec/IKE/Oakley curve #4 over a 185 bit binary field.\n" - "\tNot suitable for ECDSA.\n\tQuestionable extension field!"}, -#endif - /* brainpool curves */ - {NID_brainpoolP160r1, &_EC_brainpoolP160r1.h, 0, - "RFC 5639 curve over a 160 bit prime field"}, - {NID_brainpoolP160t1, &_EC_brainpoolP160t1.h, 0, - "RFC 5639 curve over a 160 bit prime field"}, - {NID_brainpoolP192r1, &_EC_brainpoolP192r1.h, 0, - "RFC 5639 curve over a 192 bit prime field"}, - {NID_brainpoolP192t1, &_EC_brainpoolP192t1.h, 0, - "RFC 5639 curve over a 192 bit prime field"}, - {NID_brainpoolP224r1, &_EC_brainpoolP224r1.h, 0, - "RFC 5639 curve over a 224 bit prime field"}, - {NID_brainpoolP224t1, &_EC_brainpoolP224t1.h, 0, - "RFC 5639 curve over a 224 bit prime field"}, - {NID_brainpoolP256r1, &_EC_brainpoolP256r1.h, 0, - "RFC 5639 curve over a 256 bit prime field"}, - {NID_brainpoolP256t1, &_EC_brainpoolP256t1.h, 0, - "RFC 5639 curve over a 256 bit prime field"}, - {NID_brainpoolP320r1, &_EC_brainpoolP320r1.h, 0, - "RFC 5639 curve over a 320 bit prime field"}, - {NID_brainpoolP320t1, &_EC_brainpoolP320t1.h, 0, - "RFC 5639 curve over a 320 bit prime field"}, - {NID_brainpoolP384r1, &_EC_brainpoolP384r1.h, 0, - "RFC 5639 curve over a 384 bit prime field"}, - {NID_brainpoolP384t1, &_EC_brainpoolP384t1.h, 0, - "RFC 5639 curve over a 384 bit prime field"}, - {NID_brainpoolP512r1, &_EC_brainpoolP512r1.h, 0, - "RFC 5639 curve over a 512 bit prime field"}, - {NID_brainpoolP512t1, &_EC_brainpoolP512t1.h, 0, - "RFC 5639 curve over a 512 bit prime field"}, -}; - -#define curve_list_length (sizeof(curve_list)/sizeof(ec_list_element)) - -static EC_GROUP *ec_group_new_from_data(const ec_list_element curve) -{ - EC_GROUP *group = NULL; - EC_POINT *P = NULL; - BN_CTX *ctx = NULL; - BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL, *order = - NULL; - int ok = 0; - int seed_len, param_len; - const EC_METHOD *meth; - const EC_CURVE_DATA *data; - const unsigned char *params; - - if ((ctx = BN_CTX_new()) == NULL) { - ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_MALLOC_FAILURE); - goto err; - } - - data = curve.data; - seed_len = data->seed_len; - param_len = data->param_len; - params = (const unsigned char *)(data + 1); /* skip header */ - params += seed_len; /* skip seed */ - - if (!(p = BN_bin2bn(params + 0 * param_len, param_len, NULL)) - || !(a = BN_bin2bn(params + 1 * param_len, param_len, NULL)) - || !(b = BN_bin2bn(params + 2 * param_len, param_len, NULL))) { - ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); - goto err; - } - - if (curve.meth != 0) { - meth = curve.meth(); - if (((group = EC_GROUP_new(meth)) == NULL) || - (!(group->meth->group_set_curve(group, p, a, b, ctx)))) { - ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); - goto err; - } - } else if (data->field_type == NID_X9_62_prime_field) { - if ((group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) == NULL) { - ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); - goto err; - } - } -#ifndef OPENSSL_NO_EC2M - else { /* field_type == - * NID_X9_62_characteristic_two_field */ - - if ((group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) == NULL) { - ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); - goto err; - } - } -#endif - - if ((P = EC_POINT_new(group)) == NULL) { - ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); - goto err; - } - - if (!(x = BN_bin2bn(params + 3 * param_len, param_len, NULL)) - || !(y = BN_bin2bn(params + 4 * param_len, param_len, NULL))) { - ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); - goto err; - } - if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) { - ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); - goto err; - } - if (!(order = BN_bin2bn(params + 5 * param_len, param_len, NULL)) - || !BN_set_word(x, (BN_ULONG)data->cofactor)) { - ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_BN_LIB); - goto err; - } - if (!EC_GROUP_set_generator(group, P, order, x)) { - ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); - goto err; - } - if (seed_len) { - if (!EC_GROUP_set_seed(group, params - seed_len, seed_len)) { - ECerr(EC_F_EC_GROUP_NEW_FROM_DATA, ERR_R_EC_LIB); - goto err; - } - } - ok = 1; - err: - if (!ok) { - EC_GROUP_free(group); - group = NULL; - } - if (P) - EC_POINT_free(P); - if (ctx) - BN_CTX_free(ctx); - if (p) - BN_free(p); - if (a) - BN_free(a); - if (b) - BN_free(b); - if (order) - BN_free(order); - if (x) - BN_free(x); - if (y) - BN_free(y); - return group; -} - -EC_GROUP *EC_GROUP_new_by_curve_name(int nid) -{ - size_t i; - EC_GROUP *ret = NULL; - -#ifdef OPENSSL_FIPS - if (FIPS_mode()) - return FIPS_ec_group_new_by_curve_name(nid); -#endif - if (nid <= 0) - return NULL; - - for (i = 0; i < curve_list_length; i++) - if (curve_list[i].nid == nid) { - ret = ec_group_new_from_data(curve_list[i]); - break; - } - - if (ret == NULL) { - ECerr(EC_F_EC_GROUP_NEW_BY_CURVE_NAME, EC_R_UNKNOWN_GROUP); - return NULL; - } - - EC_GROUP_set_curve_name(ret, nid); - - return ret; -} - -size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems) -{ - size_t i, min; - - if (r == NULL || nitems == 0) - return curve_list_length; - - min = nitems < curve_list_length ? nitems : curve_list_length; - - for (i = 0; i < min; i++) { - r[i].nid = curve_list[i].nid; - r[i].comment = curve_list[i].comment; - } - - return curve_list_length; -} - -/* Functions to translate between common NIST curve names and NIDs */ - -typedef struct { - const char *name; /* NIST Name of curve */ - int nid; /* Curve NID */ -} EC_NIST_NAME; - -static EC_NIST_NAME nist_curves[] = { - {"B-163", NID_sect163r2}, - {"B-233", NID_sect233r1}, - {"B-283", NID_sect283r1}, - {"B-409", NID_sect409r1}, - {"B-571", NID_sect571r1}, - {"K-163", NID_sect163k1}, - {"K-233", NID_sect233k1}, - {"K-283", NID_sect283k1}, - {"K-409", NID_sect409k1}, - {"K-571", NID_sect571k1}, - {"P-192", NID_X9_62_prime192v1}, - {"P-224", NID_secp224r1}, - {"P-256", NID_X9_62_prime256v1}, - {"P-384", NID_secp384r1}, - {"P-521", NID_secp521r1} -}; - -const char *EC_curve_nid2nist(int nid) -{ - size_t i; - for (i = 0; i < sizeof(nist_curves) / sizeof(EC_NIST_NAME); i++) { - if (nist_curves[i].nid == nid) - return nist_curves[i].name; - } - return NULL; -} - -int EC_curve_nist2nid(const char *name) -{ - size_t i; - for (i = 0; i < sizeof(nist_curves) / sizeof(EC_NIST_NAME); i++) { - if (!strcmp(nist_curves[i].name, name)) - return nist_curves[i].nid; - } - return NID_undef; -} diff --git a/thirdparty/openssl/crypto/ec/ec_cvt.c b/thirdparty/openssl/crypto/ec/ec_cvt.c deleted file mode 100644 index 5a832ba1cf..0000000000 --- a/thirdparty/openssl/crypto/ec/ec_cvt.c +++ /dev/null @@ -1,180 +0,0 @@ -/* crypto/ec/ec_cvt.c */ -/* - * Originally written by Bodo Moeller for the OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * - * Portions of the attached software ("Contribution") are developed by - * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. - * - * The Contribution is licensed pursuant to the OpenSSL open source - * license provided above. - * - * The elliptic curve binary polynomial software is originally written by - * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. - * - */ - -#include <openssl/err.h> -#include "ec_lcl.h" - -#ifdef OPENSSL_FIPS -# include <openssl/fips.h> -#endif - -EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, - const BIGNUM *b, BN_CTX *ctx) -{ - const EC_METHOD *meth; - EC_GROUP *ret; - -#ifdef OPENSSL_FIPS - if (FIPS_mode()) - return FIPS_ec_group_new_curve_gfp(p, a, b, ctx); -#endif -#if defined(OPENSSL_BN_ASM_MONT) - /* - * This might appear controversial, but the fact is that generic - * prime method was observed to deliver better performance even - * for NIST primes on a range of platforms, e.g.: 60%-15% - * improvement on IA-64, ~25% on ARM, 30%-90% on P4, 20%-25% - * in 32-bit build and 35%--12% in 64-bit build on Core2... - * Coefficients are relative to optimized bn_nist.c for most - * intensive ECDSA verify and ECDH operations for 192- and 521- - * bit keys respectively. Choice of these boundary values is - * arguable, because the dependency of improvement coefficient - * from key length is not a "monotone" curve. For example while - * 571-bit result is 23% on ARM, 384-bit one is -1%. But it's - * generally faster, sometimes "respectfully" faster, sometimes - * "tolerably" slower... What effectively happens is that loop - * with bn_mul_add_words is put against bn_mul_mont, and the - * latter "wins" on short vectors. Correct solution should be - * implementing dedicated NxN multiplication subroutines for - * small N. But till it materializes, let's stick to generic - * prime method... - * <appro> - */ - meth = EC_GFp_mont_method(); -#else - meth = EC_GFp_nist_method(); -#endif - - ret = EC_GROUP_new(meth); - if (ret == NULL) - return NULL; - - if (!EC_GROUP_set_curve_GFp(ret, p, a, b, ctx)) { - unsigned long err; - - err = ERR_peek_last_error(); - - if (!(ERR_GET_LIB(err) == ERR_LIB_EC && - ((ERR_GET_REASON(err) == EC_R_NOT_A_NIST_PRIME) || - (ERR_GET_REASON(err) == EC_R_NOT_A_SUPPORTED_NIST_PRIME)))) { - /* real error */ - - EC_GROUP_clear_free(ret); - return NULL; - } - - /* - * not an actual error, we just cannot use EC_GFp_nist_method - */ - - ERR_clear_error(); - - EC_GROUP_clear_free(ret); - meth = EC_GFp_mont_method(); - - ret = EC_GROUP_new(meth); - if (ret == NULL) - return NULL; - - if (!EC_GROUP_set_curve_GFp(ret, p, a, b, ctx)) { - EC_GROUP_clear_free(ret); - return NULL; - } - } - - return ret; -} - -#ifndef OPENSSL_NO_EC2M -EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, - const BIGNUM *b, BN_CTX *ctx) -{ - const EC_METHOD *meth; - EC_GROUP *ret; - -# ifdef OPENSSL_FIPS - if (FIPS_mode()) - return FIPS_ec_group_new_curve_gf2m(p, a, b, ctx); -# endif - meth = EC_GF2m_simple_method(); - - ret = EC_GROUP_new(meth); - if (ret == NULL) - return NULL; - - if (!EC_GROUP_set_curve_GF2m(ret, p, a, b, ctx)) { - EC_GROUP_clear_free(ret); - return NULL; - } - - return ret; -} -#endif diff --git a/thirdparty/openssl/crypto/ec/ec_err.c b/thirdparty/openssl/crypto/ec/ec_err.c deleted file mode 100644 index 6fe5baafd4..0000000000 --- a/thirdparty/openssl/crypto/ec/ec_err.c +++ /dev/null @@ -1,332 +0,0 @@ -/* crypto/ec/ec_err.c */ -/* ==================================================================== - * Copyright (c) 1999-2015 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@OpenSSL.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ - -/* - * NOTE: this file was auto generated by the mkerr.pl script: any changes - * made to it will be overwritten when the script next updates this file, - * only reason strings will be preserved. - */ - -#include <stdio.h> -#include <openssl/err.h> -#include <openssl/ec.h> - -/* BEGIN ERROR CODES */ -#ifndef OPENSSL_NO_ERR - -# define ERR_FUNC(func) ERR_PACK(ERR_LIB_EC,func,0) -# define ERR_REASON(reason) ERR_PACK(ERR_LIB_EC,0,reason) - -static ERR_STRING_DATA EC_str_functs[] = { - {ERR_FUNC(EC_F_BN_TO_FELEM), "BN_TO_FELEM"}, - {ERR_FUNC(EC_F_COMPUTE_WNAF), "COMPUTE_WNAF"}, - {ERR_FUNC(EC_F_D2I_ECPARAMETERS), "d2i_ECParameters"}, - {ERR_FUNC(EC_F_D2I_ECPKPARAMETERS), "d2i_ECPKParameters"}, - {ERR_FUNC(EC_F_D2I_ECPRIVATEKEY), "d2i_ECPrivateKey"}, - {ERR_FUNC(EC_F_DO_EC_KEY_PRINT), "DO_EC_KEY_PRINT"}, - {ERR_FUNC(EC_F_ECDH_CMS_DECRYPT), "ECDH_CMS_DECRYPT"}, - {ERR_FUNC(EC_F_ECDH_CMS_SET_SHARED_INFO), "ECDH_CMS_SET_SHARED_INFO"}, - {ERR_FUNC(EC_F_ECKEY_PARAM2TYPE), "ECKEY_PARAM2TYPE"}, - {ERR_FUNC(EC_F_ECKEY_PARAM_DECODE), "ECKEY_PARAM_DECODE"}, - {ERR_FUNC(EC_F_ECKEY_PRIV_DECODE), "ECKEY_PRIV_DECODE"}, - {ERR_FUNC(EC_F_ECKEY_PRIV_ENCODE), "ECKEY_PRIV_ENCODE"}, - {ERR_FUNC(EC_F_ECKEY_PUB_DECODE), "ECKEY_PUB_DECODE"}, - {ERR_FUNC(EC_F_ECKEY_PUB_ENCODE), "ECKEY_PUB_ENCODE"}, - {ERR_FUNC(EC_F_ECKEY_TYPE2PARAM), "ECKEY_TYPE2PARAM"}, - {ERR_FUNC(EC_F_ECPARAMETERS_PRINT), "ECParameters_print"}, - {ERR_FUNC(EC_F_ECPARAMETERS_PRINT_FP), "ECParameters_print_fp"}, - {ERR_FUNC(EC_F_ECPKPARAMETERS_PRINT), "ECPKParameters_print"}, - {ERR_FUNC(EC_F_ECPKPARAMETERS_PRINT_FP), "ECPKParameters_print_fp"}, - {ERR_FUNC(EC_F_ECP_NISTZ256_GET_AFFINE), "ecp_nistz256_get_affine"}, - {ERR_FUNC(EC_F_ECP_NISTZ256_MULT_PRECOMPUTE), - "ecp_nistz256_mult_precompute"}, - {ERR_FUNC(EC_F_ECP_NISTZ256_POINTS_MUL), "ecp_nistz256_points_mul"}, - {ERR_FUNC(EC_F_ECP_NISTZ256_PRE_COMP_NEW), "ecp_nistz256_pre_comp_new"}, - {ERR_FUNC(EC_F_ECP_NISTZ256_SET_WORDS), "ecp_nistz256_set_words"}, - {ERR_FUNC(EC_F_ECP_NISTZ256_WINDOWED_MUL), "ecp_nistz256_windowed_mul"}, - {ERR_FUNC(EC_F_ECP_NIST_MOD_192), "ECP_NIST_MOD_192"}, - {ERR_FUNC(EC_F_ECP_NIST_MOD_224), "ECP_NIST_MOD_224"}, - {ERR_FUNC(EC_F_ECP_NIST_MOD_256), "ECP_NIST_MOD_256"}, - {ERR_FUNC(EC_F_ECP_NIST_MOD_521), "ECP_NIST_MOD_521"}, - {ERR_FUNC(EC_F_EC_ASN1_GROUP2CURVE), "EC_ASN1_GROUP2CURVE"}, - {ERR_FUNC(EC_F_EC_ASN1_GROUP2FIELDID), "EC_ASN1_GROUP2FIELDID"}, - {ERR_FUNC(EC_F_EC_ASN1_GROUP2PARAMETERS), "EC_ASN1_GROUP2PARAMETERS"}, - {ERR_FUNC(EC_F_EC_ASN1_GROUP2PKPARAMETERS), "EC_ASN1_GROUP2PKPARAMETERS"}, - {ERR_FUNC(EC_F_EC_ASN1_PARAMETERS2GROUP), "EC_ASN1_PARAMETERS2GROUP"}, - {ERR_FUNC(EC_F_EC_ASN1_PKPARAMETERS2GROUP), "EC_ASN1_PKPARAMETERS2GROUP"}, - {ERR_FUNC(EC_F_EC_EX_DATA_SET_DATA), "EC_EX_DATA_set_data"}, - {ERR_FUNC(EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY), - "EC_GF2M_MONTGOMERY_POINT_MULTIPLY"}, - {ERR_FUNC(EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT), - "ec_GF2m_simple_group_check_discriminant"}, - {ERR_FUNC(EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE), - "ec_GF2m_simple_group_set_curve"}, - {ERR_FUNC(EC_F_EC_GF2M_SIMPLE_OCT2POINT), "ec_GF2m_simple_oct2point"}, - {ERR_FUNC(EC_F_EC_GF2M_SIMPLE_POINT2OCT), "ec_GF2m_simple_point2oct"}, - {ERR_FUNC(EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES), - "ec_GF2m_simple_point_get_affine_coordinates"}, - {ERR_FUNC(EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES), - "ec_GF2m_simple_point_set_affine_coordinates"}, - {ERR_FUNC(EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES), - "ec_GF2m_simple_set_compressed_coordinates"}, - {ERR_FUNC(EC_F_EC_GFP_MONT_FIELD_DECODE), "ec_GFp_mont_field_decode"}, - {ERR_FUNC(EC_F_EC_GFP_MONT_FIELD_ENCODE), "ec_GFp_mont_field_encode"}, - {ERR_FUNC(EC_F_EC_GFP_MONT_FIELD_MUL), "ec_GFp_mont_field_mul"}, - {ERR_FUNC(EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE), - "ec_GFp_mont_field_set_to_one"}, - {ERR_FUNC(EC_F_EC_GFP_MONT_FIELD_SQR), "ec_GFp_mont_field_sqr"}, - {ERR_FUNC(EC_F_EC_GFP_MONT_GROUP_SET_CURVE), - "ec_GFp_mont_group_set_curve"}, - {ERR_FUNC(EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP), - "EC_GFP_MONT_GROUP_SET_CURVE_GFP"}, - {ERR_FUNC(EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE), - "ec_GFp_nistp224_group_set_curve"}, - {ERR_FUNC(EC_F_EC_GFP_NISTP224_POINTS_MUL), "ec_GFp_nistp224_points_mul"}, - {ERR_FUNC(EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES), - "ec_GFp_nistp224_point_get_affine_coordinates"}, - {ERR_FUNC(EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE), - "ec_GFp_nistp256_group_set_curve"}, - {ERR_FUNC(EC_F_EC_GFP_NISTP256_POINTS_MUL), "ec_GFp_nistp256_points_mul"}, - {ERR_FUNC(EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES), - "ec_GFp_nistp256_point_get_affine_coordinates"}, - {ERR_FUNC(EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE), - "ec_GFp_nistp521_group_set_curve"}, - {ERR_FUNC(EC_F_EC_GFP_NISTP521_POINTS_MUL), "ec_GFp_nistp521_points_mul"}, - {ERR_FUNC(EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES), - "ec_GFp_nistp521_point_get_affine_coordinates"}, - {ERR_FUNC(EC_F_EC_GFP_NIST_FIELD_MUL), "ec_GFp_nist_field_mul"}, - {ERR_FUNC(EC_F_EC_GFP_NIST_FIELD_SQR), "ec_GFp_nist_field_sqr"}, - {ERR_FUNC(EC_F_EC_GFP_NIST_GROUP_SET_CURVE), - "ec_GFp_nist_group_set_curve"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT), - "ec_GFp_simple_group_check_discriminant"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE), - "ec_GFp_simple_group_set_curve"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP), - "EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR), - "EC_GFP_SIMPLE_GROUP_SET_GENERATOR"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_MAKE_AFFINE), "ec_GFp_simple_make_affine"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_OCT2POINT), "ec_GFp_simple_oct2point"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_POINT2OCT), "ec_GFp_simple_point2oct"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE), - "ec_GFp_simple_points_make_affine"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES), - "ec_GFp_simple_point_get_affine_coordinates"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP), - "EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES), - "ec_GFp_simple_point_set_affine_coordinates"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP), - "EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES), - "ec_GFp_simple_set_compressed_coordinates"}, - {ERR_FUNC(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP), - "EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP"}, - {ERR_FUNC(EC_F_EC_GROUP_CHECK), "EC_GROUP_check"}, - {ERR_FUNC(EC_F_EC_GROUP_CHECK_DISCRIMINANT), - "EC_GROUP_check_discriminant"}, - {ERR_FUNC(EC_F_EC_GROUP_COPY), "EC_GROUP_copy"}, - {ERR_FUNC(EC_F_EC_GROUP_GET0_GENERATOR), "EC_GROUP_get0_generator"}, - {ERR_FUNC(EC_F_EC_GROUP_GET_COFACTOR), "EC_GROUP_get_cofactor"}, - {ERR_FUNC(EC_F_EC_GROUP_GET_CURVE_GF2M), "EC_GROUP_get_curve_GF2m"}, - {ERR_FUNC(EC_F_EC_GROUP_GET_CURVE_GFP), "EC_GROUP_get_curve_GFp"}, - {ERR_FUNC(EC_F_EC_GROUP_GET_DEGREE), "EC_GROUP_get_degree"}, - {ERR_FUNC(EC_F_EC_GROUP_GET_ORDER), "EC_GROUP_get_order"}, - {ERR_FUNC(EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS), - "EC_GROUP_get_pentanomial_basis"}, - {ERR_FUNC(EC_F_EC_GROUP_GET_TRINOMIAL_BASIS), - "EC_GROUP_get_trinomial_basis"}, - {ERR_FUNC(EC_F_EC_GROUP_NEW), "EC_GROUP_new"}, - {ERR_FUNC(EC_F_EC_GROUP_NEW_BY_CURVE_NAME), "EC_GROUP_new_by_curve_name"}, - {ERR_FUNC(EC_F_EC_GROUP_NEW_FROM_DATA), "EC_GROUP_NEW_FROM_DATA"}, - {ERR_FUNC(EC_F_EC_GROUP_PRECOMPUTE_MULT), "EC_GROUP_precompute_mult"}, - {ERR_FUNC(EC_F_EC_GROUP_SET_CURVE_GF2M), "EC_GROUP_set_curve_GF2m"}, - {ERR_FUNC(EC_F_EC_GROUP_SET_CURVE_GFP), "EC_GROUP_set_curve_GFp"}, - {ERR_FUNC(EC_F_EC_GROUP_SET_EXTRA_DATA), "EC_GROUP_SET_EXTRA_DATA"}, - {ERR_FUNC(EC_F_EC_GROUP_SET_GENERATOR), "EC_GROUP_set_generator"}, - {ERR_FUNC(EC_F_EC_KEY_CHECK_KEY), "EC_KEY_check_key"}, - {ERR_FUNC(EC_F_EC_KEY_COPY), "EC_KEY_copy"}, - {ERR_FUNC(EC_F_EC_KEY_GENERATE_KEY), "EC_KEY_generate_key"}, - {ERR_FUNC(EC_F_EC_KEY_NEW), "EC_KEY_new"}, - {ERR_FUNC(EC_F_EC_KEY_PRINT), "EC_KEY_print"}, - {ERR_FUNC(EC_F_EC_KEY_PRINT_FP), "EC_KEY_print_fp"}, - {ERR_FUNC(EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES), - "EC_KEY_set_public_key_affine_coordinates"}, - {ERR_FUNC(EC_F_EC_POINTS_MAKE_AFFINE), "EC_POINTs_make_affine"}, - {ERR_FUNC(EC_F_EC_POINT_ADD), "EC_POINT_add"}, - {ERR_FUNC(EC_F_EC_POINT_CMP), "EC_POINT_cmp"}, - {ERR_FUNC(EC_F_EC_POINT_COPY), "EC_POINT_copy"}, - {ERR_FUNC(EC_F_EC_POINT_DBL), "EC_POINT_dbl"}, - {ERR_FUNC(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M), - "EC_POINT_get_affine_coordinates_GF2m"}, - {ERR_FUNC(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP), - "EC_POINT_get_affine_coordinates_GFp"}, - {ERR_FUNC(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP), - "EC_POINT_get_Jprojective_coordinates_GFp"}, - {ERR_FUNC(EC_F_EC_POINT_INVERT), "EC_POINT_invert"}, - {ERR_FUNC(EC_F_EC_POINT_IS_AT_INFINITY), "EC_POINT_is_at_infinity"}, - {ERR_FUNC(EC_F_EC_POINT_IS_ON_CURVE), "EC_POINT_is_on_curve"}, - {ERR_FUNC(EC_F_EC_POINT_MAKE_AFFINE), "EC_POINT_make_affine"}, - {ERR_FUNC(EC_F_EC_POINT_MUL), "EC_POINT_mul"}, - {ERR_FUNC(EC_F_EC_POINT_NEW), "EC_POINT_new"}, - {ERR_FUNC(EC_F_EC_POINT_OCT2POINT), "EC_POINT_oct2point"}, - {ERR_FUNC(EC_F_EC_POINT_POINT2OCT), "EC_POINT_point2oct"}, - {ERR_FUNC(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M), - "EC_POINT_set_affine_coordinates_GF2m"}, - {ERR_FUNC(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP), - "EC_POINT_set_affine_coordinates_GFp"}, - {ERR_FUNC(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M), - "EC_POINT_set_compressed_coordinates_GF2m"}, - {ERR_FUNC(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP), - "EC_POINT_set_compressed_coordinates_GFp"}, - {ERR_FUNC(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP), - "EC_POINT_set_Jprojective_coordinates_GFp"}, - {ERR_FUNC(EC_F_EC_POINT_SET_TO_INFINITY), "EC_POINT_set_to_infinity"}, - {ERR_FUNC(EC_F_EC_PRE_COMP_DUP), "EC_PRE_COMP_DUP"}, - {ERR_FUNC(EC_F_EC_PRE_COMP_NEW), "EC_PRE_COMP_NEW"}, - {ERR_FUNC(EC_F_EC_WNAF_MUL), "ec_wNAF_mul"}, - {ERR_FUNC(EC_F_EC_WNAF_PRECOMPUTE_MULT), "ec_wNAF_precompute_mult"}, - {ERR_FUNC(EC_F_I2D_ECPARAMETERS), "i2d_ECParameters"}, - {ERR_FUNC(EC_F_I2D_ECPKPARAMETERS), "i2d_ECPKParameters"}, - {ERR_FUNC(EC_F_I2D_ECPRIVATEKEY), "i2d_ECPrivateKey"}, - {ERR_FUNC(EC_F_I2O_ECPUBLICKEY), "i2o_ECPublicKey"}, - {ERR_FUNC(EC_F_NISTP224_PRE_COMP_NEW), "NISTP224_PRE_COMP_NEW"}, - {ERR_FUNC(EC_F_NISTP256_PRE_COMP_NEW), "NISTP256_PRE_COMP_NEW"}, - {ERR_FUNC(EC_F_NISTP521_PRE_COMP_NEW), "NISTP521_PRE_COMP_NEW"}, - {ERR_FUNC(EC_F_O2I_ECPUBLICKEY), "o2i_ECPublicKey"}, - {ERR_FUNC(EC_F_OLD_EC_PRIV_DECODE), "OLD_EC_PRIV_DECODE"}, - {ERR_FUNC(EC_F_PKEY_EC_CTRL), "PKEY_EC_CTRL"}, - {ERR_FUNC(EC_F_PKEY_EC_CTRL_STR), "PKEY_EC_CTRL_STR"}, - {ERR_FUNC(EC_F_PKEY_EC_DERIVE), "PKEY_EC_DERIVE"}, - {ERR_FUNC(EC_F_PKEY_EC_KEYGEN), "PKEY_EC_KEYGEN"}, - {ERR_FUNC(EC_F_PKEY_EC_PARAMGEN), "PKEY_EC_PARAMGEN"}, - {ERR_FUNC(EC_F_PKEY_EC_SIGN), "PKEY_EC_SIGN"}, - {0, NULL} -}; - -static ERR_STRING_DATA EC_str_reasons[] = { - {ERR_REASON(EC_R_ASN1_ERROR), "asn1 error"}, - {ERR_REASON(EC_R_ASN1_UNKNOWN_FIELD), "asn1 unknown field"}, - {ERR_REASON(EC_R_BIGNUM_OUT_OF_RANGE), "bignum out of range"}, - {ERR_REASON(EC_R_BUFFER_TOO_SMALL), "buffer too small"}, - {ERR_REASON(EC_R_COORDINATES_OUT_OF_RANGE), "coordinates out of range"}, - {ERR_REASON(EC_R_D2I_ECPKPARAMETERS_FAILURE), - "d2i ecpkparameters failure"}, - {ERR_REASON(EC_R_DECODE_ERROR), "decode error"}, - {ERR_REASON(EC_R_DISCRIMINANT_IS_ZERO), "discriminant is zero"}, - {ERR_REASON(EC_R_EC_GROUP_NEW_BY_NAME_FAILURE), - "ec group new by name failure"}, - {ERR_REASON(EC_R_FIELD_TOO_LARGE), "field too large"}, - {ERR_REASON(EC_R_GF2M_NOT_SUPPORTED), "gf2m not supported"}, - {ERR_REASON(EC_R_GROUP2PKPARAMETERS_FAILURE), - "group2pkparameters failure"}, - {ERR_REASON(EC_R_I2D_ECPKPARAMETERS_FAILURE), - "i2d ecpkparameters failure"}, - {ERR_REASON(EC_R_INCOMPATIBLE_OBJECTS), "incompatible objects"}, - {ERR_REASON(EC_R_INVALID_ARGUMENT), "invalid argument"}, - {ERR_REASON(EC_R_INVALID_COMPRESSED_POINT), "invalid compressed point"}, - {ERR_REASON(EC_R_INVALID_COMPRESSION_BIT), "invalid compression bit"}, - {ERR_REASON(EC_R_INVALID_CURVE), "invalid curve"}, - {ERR_REASON(EC_R_INVALID_DIGEST), "invalid digest"}, - {ERR_REASON(EC_R_INVALID_DIGEST_TYPE), "invalid digest type"}, - {ERR_REASON(EC_R_INVALID_ENCODING), "invalid encoding"}, - {ERR_REASON(EC_R_INVALID_FIELD), "invalid field"}, - {ERR_REASON(EC_R_INVALID_FORM), "invalid form"}, - {ERR_REASON(EC_R_INVALID_GROUP_ORDER), "invalid group order"}, - {ERR_REASON(EC_R_INVALID_PENTANOMIAL_BASIS), "invalid pentanomial basis"}, - {ERR_REASON(EC_R_INVALID_PRIVATE_KEY), "invalid private key"}, - {ERR_REASON(EC_R_INVALID_TRINOMIAL_BASIS), "invalid trinomial basis"}, - {ERR_REASON(EC_R_KDF_PARAMETER_ERROR), "kdf parameter error"}, - {ERR_REASON(EC_R_KEYS_NOT_SET), "keys not set"}, - {ERR_REASON(EC_R_MISSING_PARAMETERS), "missing parameters"}, - {ERR_REASON(EC_R_MISSING_PRIVATE_KEY), "missing private key"}, - {ERR_REASON(EC_R_NOT_A_NIST_PRIME), "not a NIST prime"}, - {ERR_REASON(EC_R_NOT_A_SUPPORTED_NIST_PRIME), - "not a supported NIST prime"}, - {ERR_REASON(EC_R_NOT_IMPLEMENTED), "not implemented"}, - {ERR_REASON(EC_R_NOT_INITIALIZED), "not initialized"}, - {ERR_REASON(EC_R_NO_FIELD_MOD), "no field mod"}, - {ERR_REASON(EC_R_NO_PARAMETERS_SET), "no parameters set"}, - {ERR_REASON(EC_R_PASSED_NULL_PARAMETER), "passed null parameter"}, - {ERR_REASON(EC_R_PEER_KEY_ERROR), "peer key error"}, - {ERR_REASON(EC_R_PKPARAMETERS2GROUP_FAILURE), - "pkparameters2group failure"}, - {ERR_REASON(EC_R_POINT_AT_INFINITY), "point at infinity"}, - {ERR_REASON(EC_R_POINT_IS_NOT_ON_CURVE), "point is not on curve"}, - {ERR_REASON(EC_R_SHARED_INFO_ERROR), "shared info error"}, - {ERR_REASON(EC_R_SLOT_FULL), "slot full"}, - {ERR_REASON(EC_R_UNDEFINED_GENERATOR), "undefined generator"}, - {ERR_REASON(EC_R_UNDEFINED_ORDER), "undefined order"}, - {ERR_REASON(EC_R_UNKNOWN_GROUP), "unknown group"}, - {ERR_REASON(EC_R_UNKNOWN_ORDER), "unknown order"}, - {ERR_REASON(EC_R_UNSUPPORTED_FIELD), "unsupported field"}, - {ERR_REASON(EC_R_WRONG_CURVE_PARAMETERS), "wrong curve parameters"}, - {ERR_REASON(EC_R_WRONG_ORDER), "wrong order"}, - {0, NULL} -}; - -#endif - -void ERR_load_EC_strings(void) -{ -#ifndef OPENSSL_NO_ERR - - if (ERR_func_error_string(EC_str_functs[0].error) == NULL) { - ERR_load_strings(0, EC_str_functs); - ERR_load_strings(0, EC_str_reasons); - } -#endif -} diff --git a/thirdparty/openssl/crypto/ec/ec_key.c b/thirdparty/openssl/crypto/ec/ec_key.c deleted file mode 100644 index 456080ecfe..0000000000 --- a/thirdparty/openssl/crypto/ec/ec_key.c +++ /dev/null @@ -1,564 +0,0 @@ -/* crypto/ec/ec_key.c */ -/* - * Written by Nils Larsch for the OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * Portions originally developed by SUN MICROSYSTEMS, INC., and - * contributed to the OpenSSL project. - */ - -#include <string.h> -#include "ec_lcl.h" -#include <openssl/err.h> -#ifdef OPENSSL_FIPS -# include <openssl/fips.h> -#endif - -EC_KEY *EC_KEY_new(void) -{ - EC_KEY *ret; - - ret = (EC_KEY *)OPENSSL_malloc(sizeof(EC_KEY)); - if (ret == NULL) { - ECerr(EC_F_EC_KEY_NEW, ERR_R_MALLOC_FAILURE); - return (NULL); - } - - ret->version = 1; - ret->flags = 0; - ret->group = NULL; - ret->pub_key = NULL; - ret->priv_key = NULL; - ret->enc_flag = 0; - ret->conv_form = POINT_CONVERSION_UNCOMPRESSED; - ret->references = 1; - ret->method_data = NULL; - return (ret); -} - -EC_KEY *EC_KEY_new_by_curve_name(int nid) -{ - EC_KEY *ret = EC_KEY_new(); - if (ret == NULL) - return NULL; - ret->group = EC_GROUP_new_by_curve_name(nid); - if (ret->group == NULL) { - EC_KEY_free(ret); - return NULL; - } - return ret; -} - -void EC_KEY_free(EC_KEY *r) -{ - int i; - - if (r == NULL) - return; - - i = CRYPTO_add(&r->references, -1, CRYPTO_LOCK_EC); -#ifdef REF_PRINT - REF_PRINT("EC_KEY", r); -#endif - if (i > 0) - return; -#ifdef REF_CHECK - if (i < 0) { - fprintf(stderr, "EC_KEY_free, bad reference count\n"); - abort(); - } -#endif - - if (r->group != NULL) - EC_GROUP_free(r->group); - if (r->pub_key != NULL) - EC_POINT_free(r->pub_key); - if (r->priv_key != NULL) - BN_clear_free(r->priv_key); - - EC_EX_DATA_free_all_data(&r->method_data); - - OPENSSL_cleanse((void *)r, sizeof(EC_KEY)); - - OPENSSL_free(r); -} - -EC_KEY *EC_KEY_copy(EC_KEY *dest, const EC_KEY *src) -{ - EC_EXTRA_DATA *d; - - if (dest == NULL || src == NULL) { - ECerr(EC_F_EC_KEY_COPY, ERR_R_PASSED_NULL_PARAMETER); - return NULL; - } - /* copy the parameters */ - if (src->group) { - const EC_METHOD *meth = EC_GROUP_method_of(src->group); - /* clear the old group */ - if (dest->group) - EC_GROUP_free(dest->group); - dest->group = EC_GROUP_new(meth); - if (dest->group == NULL) - return NULL; - if (!EC_GROUP_copy(dest->group, src->group)) - return NULL; - } - /* copy the public key */ - if (src->pub_key && src->group) { - if (dest->pub_key) - EC_POINT_free(dest->pub_key); - dest->pub_key = EC_POINT_new(src->group); - if (dest->pub_key == NULL) - return NULL; - if (!EC_POINT_copy(dest->pub_key, src->pub_key)) - return NULL; - } - /* copy the private key */ - if (src->priv_key) { - if (dest->priv_key == NULL) { - dest->priv_key = BN_new(); - if (dest->priv_key == NULL) - return NULL; - } - if (!BN_copy(dest->priv_key, src->priv_key)) - return NULL; - } - /* copy method/extra data */ - EC_EX_DATA_free_all_data(&dest->method_data); - - for (d = src->method_data; d != NULL; d = d->next) { - void *t = d->dup_func(d->data); - - if (t == NULL) - return 0; - if (!EC_EX_DATA_set_data - (&dest->method_data, t, d->dup_func, d->free_func, - d->clear_free_func)) - return 0; - } - - /* copy the rest */ - dest->enc_flag = src->enc_flag; - dest->conv_form = src->conv_form; - dest->version = src->version; - dest->flags = src->flags; - - return dest; -} - -EC_KEY *EC_KEY_dup(const EC_KEY *ec_key) -{ - EC_KEY *ret = EC_KEY_new(); - if (ret == NULL) - return NULL; - if (EC_KEY_copy(ret, ec_key) == NULL) { - EC_KEY_free(ret); - return NULL; - } - return ret; -} - -int EC_KEY_up_ref(EC_KEY *r) -{ - int i = CRYPTO_add(&r->references, 1, CRYPTO_LOCK_EC); -#ifdef REF_PRINT - REF_PRINT("EC_KEY", r); -#endif -#ifdef REF_CHECK - if (i < 2) { - fprintf(stderr, "EC_KEY_up, bad reference count\n"); - abort(); - } -#endif - return ((i > 1) ? 1 : 0); -} - -int EC_KEY_generate_key(EC_KEY *eckey) -{ - int ok = 0; - BN_CTX *ctx = NULL; - BIGNUM *priv_key = NULL, *order = NULL; - EC_POINT *pub_key = NULL; - -#ifdef OPENSSL_FIPS - if (FIPS_mode()) - return FIPS_ec_key_generate_key(eckey); -#endif - - if (!eckey || !eckey->group) { - ECerr(EC_F_EC_KEY_GENERATE_KEY, ERR_R_PASSED_NULL_PARAMETER); - return 0; - } - - if ((order = BN_new()) == NULL) - goto err; - if ((ctx = BN_CTX_new()) == NULL) - goto err; - - if (eckey->priv_key == NULL) { - priv_key = BN_new(); - if (priv_key == NULL) - goto err; - } else - priv_key = eckey->priv_key; - - if (!EC_GROUP_get_order(eckey->group, order, ctx)) - goto err; - - do - if (!BN_rand_range(priv_key, order)) - goto err; - while (BN_is_zero(priv_key)) ; - - if (eckey->pub_key == NULL) { - pub_key = EC_POINT_new(eckey->group); - if (pub_key == NULL) - goto err; - } else - pub_key = eckey->pub_key; - - if (!EC_POINT_mul(eckey->group, pub_key, priv_key, NULL, NULL, ctx)) - goto err; - - eckey->priv_key = priv_key; - eckey->pub_key = pub_key; - - ok = 1; - - err: - if (order) - BN_free(order); - if (pub_key != NULL && eckey->pub_key == NULL) - EC_POINT_free(pub_key); - if (priv_key != NULL && eckey->priv_key == NULL) - BN_free(priv_key); - if (ctx != NULL) - BN_CTX_free(ctx); - return (ok); -} - -int EC_KEY_check_key(const EC_KEY *eckey) -{ - int ok = 0; - BN_CTX *ctx = NULL; - const BIGNUM *order = NULL; - EC_POINT *point = NULL; - - if (!eckey || !eckey->group || !eckey->pub_key) { - ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_PASSED_NULL_PARAMETER); - return 0; - } - - if (EC_POINT_is_at_infinity(eckey->group, eckey->pub_key)) { - ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_POINT_AT_INFINITY); - goto err; - } - - if ((ctx = BN_CTX_new()) == NULL) - goto err; - if ((point = EC_POINT_new(eckey->group)) == NULL) - goto err; - - /* testing whether the pub_key is on the elliptic curve */ - if (EC_POINT_is_on_curve(eckey->group, eckey->pub_key, ctx) <= 0) { - ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_POINT_IS_NOT_ON_CURVE); - goto err; - } - /* testing whether pub_key * order is the point at infinity */ - order = &eckey->group->order; - if (BN_is_zero(order)) { - ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_INVALID_GROUP_ORDER); - goto err; - } - if (!EC_POINT_mul(eckey->group, point, NULL, eckey->pub_key, order, ctx)) { - ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_EC_LIB); - goto err; - } - if (!EC_POINT_is_at_infinity(eckey->group, point)) { - ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_WRONG_ORDER); - goto err; - } - /* - * in case the priv_key is present : check if generator * priv_key == - * pub_key - */ - if (eckey->priv_key) { - if (BN_cmp(eckey->priv_key, order) >= 0) { - ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_WRONG_ORDER); - goto err; - } - if (!EC_POINT_mul(eckey->group, point, eckey->priv_key, - NULL, NULL, ctx)) { - ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_EC_LIB); - goto err; - } - if (EC_POINT_cmp(eckey->group, point, eckey->pub_key, ctx) != 0) { - ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_INVALID_PRIVATE_KEY); - goto err; - } - } - ok = 1; - err: - if (ctx != NULL) - BN_CTX_free(ctx); - if (point != NULL) - EC_POINT_free(point); - return (ok); -} - -int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, - BIGNUM *y) -{ - BN_CTX *ctx = NULL; - BIGNUM *tx, *ty; - EC_POINT *point = NULL; - int ok = 0; -#ifndef OPENSSL_NO_EC2M - int tmp_nid, is_char_two = 0; -#endif - - if (!key || !key->group || !x || !y) { - ECerr(EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES, - ERR_R_PASSED_NULL_PARAMETER); - return 0; - } - ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - BN_CTX_start(ctx); - point = EC_POINT_new(key->group); - - if (!point) - goto err; - - tx = BN_CTX_get(ctx); - ty = BN_CTX_get(ctx); - if (ty == NULL) - goto err; - -#ifndef OPENSSL_NO_EC2M - tmp_nid = EC_METHOD_get_field_type(EC_GROUP_method_of(key->group)); - - if (tmp_nid == NID_X9_62_characteristic_two_field) - is_char_two = 1; - - if (is_char_two) { - if (!EC_POINT_set_affine_coordinates_GF2m(key->group, point, - x, y, ctx)) - goto err; - if (!EC_POINT_get_affine_coordinates_GF2m(key->group, point, - tx, ty, ctx)) - goto err; - } else -#endif - { - if (!EC_POINT_set_affine_coordinates_GFp(key->group, point, - x, y, ctx)) - goto err; - if (!EC_POINT_get_affine_coordinates_GFp(key->group, point, - tx, ty, ctx)) - goto err; - } - /* - * Check if retrieved coordinates match originals: if not values are out - * of range. - */ - if (BN_cmp(x, tx) || BN_cmp(y, ty)) { - ECerr(EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES, - EC_R_COORDINATES_OUT_OF_RANGE); - goto err; - } - - if (!EC_KEY_set_public_key(key, point)) - goto err; - - if (EC_KEY_check_key(key) == 0) - goto err; - - ok = 1; - - err: - BN_CTX_end(ctx); - BN_CTX_free(ctx); - EC_POINT_free(point); - return ok; - -} - -const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key) -{ - return key->group; -} - -int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group) -{ - if (key->group != NULL) - EC_GROUP_free(key->group); - key->group = EC_GROUP_dup(group); - return (key->group == NULL) ? 0 : 1; -} - -const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key) -{ - return key->priv_key; -} - -int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *priv_key) -{ - if (key->priv_key) - BN_clear_free(key->priv_key); - key->priv_key = BN_dup(priv_key); - return (key->priv_key == NULL) ? 0 : 1; -} - -const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key) -{ - return key->pub_key; -} - -int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub_key) -{ - if (key->pub_key != NULL) - EC_POINT_free(key->pub_key); - key->pub_key = EC_POINT_dup(pub_key, key->group); - return (key->pub_key == NULL) ? 0 : 1; -} - -unsigned int EC_KEY_get_enc_flags(const EC_KEY *key) -{ - return key->enc_flag; -} - -void EC_KEY_set_enc_flags(EC_KEY *key, unsigned int flags) -{ - key->enc_flag = flags; -} - -point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key) -{ - return key->conv_form; -} - -void EC_KEY_set_conv_form(EC_KEY *key, point_conversion_form_t cform) -{ - key->conv_form = cform; - if (key->group != NULL) - EC_GROUP_set_point_conversion_form(key->group, cform); -} - -void *EC_KEY_get_key_method_data(EC_KEY *key, - void *(*dup_func) (void *), - void (*free_func) (void *), - void (*clear_free_func) (void *)) -{ - void *ret; - - CRYPTO_r_lock(CRYPTO_LOCK_EC); - ret = - EC_EX_DATA_get_data(key->method_data, dup_func, free_func, - clear_free_func); - CRYPTO_r_unlock(CRYPTO_LOCK_EC); - - return ret; -} - -void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data, - void *(*dup_func) (void *), - void (*free_func) (void *), - void (*clear_free_func) (void *)) -{ - EC_EXTRA_DATA *ex_data; - - CRYPTO_w_lock(CRYPTO_LOCK_EC); - ex_data = - EC_EX_DATA_get_data(key->method_data, dup_func, free_func, - clear_free_func); - if (ex_data == NULL) - EC_EX_DATA_set_data(&key->method_data, data, dup_func, free_func, - clear_free_func); - CRYPTO_w_unlock(CRYPTO_LOCK_EC); - - return ex_data; -} - -void EC_KEY_set_asn1_flag(EC_KEY *key, int flag) -{ - if (key->group != NULL) - EC_GROUP_set_asn1_flag(key->group, flag); -} - -int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx) -{ - if (key->group == NULL) - return 0; - return EC_GROUP_precompute_mult(key->group, ctx); -} - -int EC_KEY_get_flags(const EC_KEY *key) -{ - return key->flags; -} - -void EC_KEY_set_flags(EC_KEY *key, int flags) -{ - key->flags |= flags; -} - -void EC_KEY_clear_flags(EC_KEY *key, int flags) -{ - key->flags &= ~flags; -} diff --git a/thirdparty/openssl/crypto/ec/ec_lcl.h b/thirdparty/openssl/crypto/ec/ec_lcl.h deleted file mode 100644 index 969fd147ef..0000000000 --- a/thirdparty/openssl/crypto/ec/ec_lcl.h +++ /dev/null @@ -1,568 +0,0 @@ -/* crypto/ec/ec_lcl.h */ -/* - * Originally written by Bodo Moeller for the OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2010 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * - * Portions of the attached software ("Contribution") are developed by - * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. - * - * The Contribution is licensed pursuant to the OpenSSL open source - * license provided above. - * - * The elliptic curve binary polynomial software is originally written by - * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. - * - */ - -#include <stdlib.h> - -#include <openssl/obj_mac.h> -#include <openssl/ec.h> -#include <openssl/bn.h> - -#if defined(__SUNPRO_C) -# if __SUNPRO_C >= 0x520 -# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) -# endif -#endif - -/* Use default functions for poin2oct, oct2point and compressed coordinates */ -#define EC_FLAGS_DEFAULT_OCT 0x1 - -/* - * Structure details are not part of the exported interface, so all this may - * change in future versions. - */ - -struct ec_method_st { - /* Various method flags */ - int flags; - /* used by EC_METHOD_get_field_type: */ - int field_type; /* a NID */ - /* - * used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, - * EC_GROUP_copy: - */ - int (*group_init) (EC_GROUP *); - void (*group_finish) (EC_GROUP *); - void (*group_clear_finish) (EC_GROUP *); - int (*group_copy) (EC_GROUP *, const EC_GROUP *); - /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */ - /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */ - int (*group_set_curve) (EC_GROUP *, const BIGNUM *p, const BIGNUM *a, - const BIGNUM *b, BN_CTX *); - int (*group_get_curve) (const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, - BN_CTX *); - /* used by EC_GROUP_get_degree: */ - int (*group_get_degree) (const EC_GROUP *); - /* used by EC_GROUP_check: */ - int (*group_check_discriminant) (const EC_GROUP *, BN_CTX *); - /* - * used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, - * EC_POINT_copy: - */ - int (*point_init) (EC_POINT *); - void (*point_finish) (EC_POINT *); - void (*point_clear_finish) (EC_POINT *); - int (*point_copy) (EC_POINT *, const EC_POINT *); - /*- - * used by EC_POINT_set_to_infinity, - * EC_POINT_set_Jprojective_coordinates_GFp, - * EC_POINT_get_Jprojective_coordinates_GFp, - * EC_POINT_set_affine_coordinates_GFp, ..._GF2m, - * EC_POINT_get_affine_coordinates_GFp, ..._GF2m, - * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m: - */ - int (*point_set_to_infinity) (const EC_GROUP *, EC_POINT *); - int (*point_set_Jprojective_coordinates_GFp) (const EC_GROUP *, - EC_POINT *, const BIGNUM *x, - const BIGNUM *y, - const BIGNUM *z, BN_CTX *); - int (*point_get_Jprojective_coordinates_GFp) (const EC_GROUP *, - const EC_POINT *, BIGNUM *x, - BIGNUM *y, BIGNUM *z, - BN_CTX *); - int (*point_set_affine_coordinates) (const EC_GROUP *, EC_POINT *, - const BIGNUM *x, const BIGNUM *y, - BN_CTX *); - int (*point_get_affine_coordinates) (const EC_GROUP *, const EC_POINT *, - BIGNUM *x, BIGNUM *y, BN_CTX *); - int (*point_set_compressed_coordinates) (const EC_GROUP *, EC_POINT *, - const BIGNUM *x, int y_bit, - BN_CTX *); - /* used by EC_POINT_point2oct, EC_POINT_oct2point: */ - size_t (*point2oct) (const EC_GROUP *, const EC_POINT *, - point_conversion_form_t form, unsigned char *buf, - size_t len, BN_CTX *); - int (*oct2point) (const EC_GROUP *, EC_POINT *, const unsigned char *buf, - size_t len, BN_CTX *); - /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */ - int (*add) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a, - const EC_POINT *b, BN_CTX *); - int (*dbl) (const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); - int (*invert) (const EC_GROUP *, EC_POINT *, BN_CTX *); - /* - * used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: - */ - int (*is_at_infinity) (const EC_GROUP *, const EC_POINT *); - int (*is_on_curve) (const EC_GROUP *, const EC_POINT *, BN_CTX *); - int (*point_cmp) (const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, - BN_CTX *); - /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */ - int (*make_affine) (const EC_GROUP *, EC_POINT *, BN_CTX *); - int (*points_make_affine) (const EC_GROUP *, size_t num, EC_POINT *[], - BN_CTX *); - /* - * used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult, - * EC_POINT_have_precompute_mult (default implementations are used if the - * 'mul' pointer is 0): - */ - int (*mul) (const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, - size_t num, const EC_POINT *points[], const BIGNUM *scalars[], - BN_CTX *); - int (*precompute_mult) (EC_GROUP *group, BN_CTX *); - int (*have_precompute_mult) (const EC_GROUP *group); - /* internal functions */ - /* - * 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and - * 'dbl' so that the same implementations of point operations can be used - * with different optimized implementations of expensive field - * operations: - */ - int (*field_mul) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - const BIGNUM *b, BN_CTX *); - int (*field_sqr) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); - int (*field_div) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - const BIGNUM *b, BN_CTX *); - /* e.g. to Montgomery */ - int (*field_encode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - BN_CTX *); - /* e.g. from Montgomery */ - int (*field_decode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - BN_CTX *); - int (*field_set_to_one) (const EC_GROUP *, BIGNUM *r, BN_CTX *); -} /* EC_METHOD */ ; - -typedef struct ec_extra_data_st { - struct ec_extra_data_st *next; - void *data; - void *(*dup_func) (void *); - void (*free_func) (void *); - void (*clear_free_func) (void *); -} EC_EXTRA_DATA; /* used in EC_GROUP */ - -struct ec_group_st { - const EC_METHOD *meth; - EC_POINT *generator; /* optional */ - BIGNUM order, cofactor; - int curve_name; /* optional NID for named curve */ - int asn1_flag; /* flag to control the asn1 encoding */ - /* - * Kludge: upper bit of ans1_flag is used to denote structure - * version. Is set, then last field is present. This is done - * for interoperation with FIPS code. - */ -#define EC_GROUP_ASN1_FLAG_MASK 0x7fffffff -#define EC_GROUP_VERSION(p) (p->asn1_flag&~EC_GROUP_ASN1_FLAG_MASK) - point_conversion_form_t asn1_form; - unsigned char *seed; /* optional seed for parameters (appears in - * ASN1) */ - size_t seed_len; - EC_EXTRA_DATA *extra_data; /* linked list */ - /* - * The following members are handled by the method functions, even if - * they appear generic - */ - /* - * Field specification. For curves over GF(p), this is the modulus; for - * curves over GF(2^m), this is the irreducible polynomial defining the - * field. - */ - BIGNUM field; - /* - * Field specification for curves over GF(2^m). The irreducible f(t) is - * then of the form: t^poly[0] + t^poly[1] + ... + t^poly[k] where m = - * poly[0] > poly[1] > ... > poly[k] = 0. The array is terminated with - * poly[k+1]=-1. All elliptic curve irreducibles have at most 5 non-zero - * terms. - */ - int poly[6]; - /* - * Curve coefficients. (Here the assumption is that BIGNUMs can be used - * or abused for all kinds of fields, not just GF(p).) For characteristic - * > 3, the curve is defined by a Weierstrass equation of the form y^2 = - * x^3 + a*x + b. For characteristic 2, the curve is defined by an - * equation of the form y^2 + x*y = x^3 + a*x^2 + b. - */ - BIGNUM a, b; - /* enable optimized point arithmetics for special case */ - int a_is_minus3; - /* method-specific (e.g., Montgomery structure) */ - void *field_data1; - /* method-specific */ - void *field_data2; - /* method-specific */ - int (*field_mod_func) (BIGNUM *, const BIGNUM *, const BIGNUM *, - BN_CTX *); - BN_MONT_CTX *mont_data; /* data for ECDSA inverse */ -} /* EC_GROUP */ ; - -struct ec_key_st { - int version; - EC_GROUP *group; - EC_POINT *pub_key; - BIGNUM *priv_key; - unsigned int enc_flag; - point_conversion_form_t conv_form; - int references; - int flags; - EC_EXTRA_DATA *method_data; -} /* EC_KEY */ ; - -/* - * Basically a 'mixin' for extra data, but available for EC_GROUPs/EC_KEYs - * only (with visibility limited to 'package' level for now). We use the - * function pointers as index for retrieval; this obviates global - * ex_data-style index tables. - */ -int EC_EX_DATA_set_data(EC_EXTRA_DATA **, void *data, - void *(*dup_func) (void *), - void (*free_func) (void *), - void (*clear_free_func) (void *)); -void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *, void *(*dup_func) (void *), - void (*free_func) (void *), - void (*clear_free_func) (void *)); -void EC_EX_DATA_free_data(EC_EXTRA_DATA **, void *(*dup_func) (void *), - void (*free_func) (void *), - void (*clear_free_func) (void *)); -void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **, void *(*dup_func) (void *), - void (*free_func) (void *), - void (*clear_free_func) (void *)); -void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **); -void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **); - -struct ec_point_st { - const EC_METHOD *meth; - /* - * All members except 'meth' are handled by the method functions, even if - * they appear generic - */ - BIGNUM X; - BIGNUM Y; - BIGNUM Z; /* Jacobian projective coordinates: (X, Y, Z) - * represents (X/Z^2, Y/Z^3) if Z != 0 */ - int Z_is_one; /* enable optimized point arithmetics for - * special case */ -} /* EC_POINT */ ; - -/* - * method functions in ec_mult.c (ec_lib.c uses these as defaults if - * group->method->mul is 0) - */ -int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, - size_t num, const EC_POINT *points[], const BIGNUM *scalars[], - BN_CTX *); -int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *); -int ec_wNAF_have_precompute_mult(const EC_GROUP *group); - -/* method functions in ecp_smpl.c */ -int ec_GFp_simple_group_init(EC_GROUP *); -void ec_GFp_simple_group_finish(EC_GROUP *); -void ec_GFp_simple_group_clear_finish(EC_GROUP *); -int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *); -int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, - const BIGNUM *a, const BIGNUM *b, BN_CTX *); -int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, - BIGNUM *b, BN_CTX *); -int ec_GFp_simple_group_get_degree(const EC_GROUP *); -int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); -int ec_GFp_simple_point_init(EC_POINT *); -void ec_GFp_simple_point_finish(EC_POINT *); -void ec_GFp_simple_point_clear_finish(EC_POINT *); -int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *); -int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); -int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, - EC_POINT *, const BIGNUM *x, - const BIGNUM *y, - const BIGNUM *z, BN_CTX *); -int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *, - const EC_POINT *, BIGNUM *x, - BIGNUM *y, BIGNUM *z, - BN_CTX *); -int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, - const BIGNUM *x, - const BIGNUM *y, BN_CTX *); -int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *, - const EC_POINT *, BIGNUM *x, - BIGNUM *y, BN_CTX *); -int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, - const BIGNUM *x, int y_bit, - BN_CTX *); -size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *, - point_conversion_form_t form, - unsigned char *buf, size_t len, BN_CTX *); -int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *, - const unsigned char *buf, size_t len, BN_CTX *); -int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, - const EC_POINT *b, BN_CTX *); -int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, - BN_CTX *); -int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); -int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); -int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); -int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, - BN_CTX *); -int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); -int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, - EC_POINT *[], BN_CTX *); -int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - const BIGNUM *b, BN_CTX *); -int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - BN_CTX *); - -/* method functions in ecp_mont.c */ -int ec_GFp_mont_group_init(EC_GROUP *); -int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, - const BIGNUM *b, BN_CTX *); -void ec_GFp_mont_group_finish(EC_GROUP *); -void ec_GFp_mont_group_clear_finish(EC_GROUP *); -int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *); -int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - const BIGNUM *b, BN_CTX *); -int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - BN_CTX *); -int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - BN_CTX *); -int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - BN_CTX *); -int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *); - -/* method functions in ecp_nist.c */ -int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src); -int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, - const BIGNUM *b, BN_CTX *); -int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - const BIGNUM *b, BN_CTX *); -int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - BN_CTX *); - -/* method functions in ec2_smpl.c */ -int ec_GF2m_simple_group_init(EC_GROUP *); -void ec_GF2m_simple_group_finish(EC_GROUP *); -void ec_GF2m_simple_group_clear_finish(EC_GROUP *); -int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *); -int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, - const BIGNUM *a, const BIGNUM *b, - BN_CTX *); -int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, - BIGNUM *b, BN_CTX *); -int ec_GF2m_simple_group_get_degree(const EC_GROUP *); -int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); -int ec_GF2m_simple_point_init(EC_POINT *); -void ec_GF2m_simple_point_finish(EC_POINT *); -void ec_GF2m_simple_point_clear_finish(EC_POINT *); -int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *); -int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); -int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, - const BIGNUM *x, - const BIGNUM *y, BN_CTX *); -int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *, - const EC_POINT *, BIGNUM *x, - BIGNUM *y, BN_CTX *); -int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, - const BIGNUM *x, int y_bit, - BN_CTX *); -size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, - point_conversion_form_t form, - unsigned char *buf, size_t len, BN_CTX *); -int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *, - const unsigned char *buf, size_t len, BN_CTX *); -int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, - const EC_POINT *b, BN_CTX *); -int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, - BN_CTX *); -int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); -int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); -int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); -int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, - BN_CTX *); -int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); -int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, - EC_POINT *[], BN_CTX *); -int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - const BIGNUM *b, BN_CTX *); -int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - BN_CTX *); -int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, - const BIGNUM *b, BN_CTX *); - -/* method functions in ec2_mult.c */ -int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, - const BIGNUM *scalar, size_t num, - const EC_POINT *points[], const BIGNUM *scalars[], - BN_CTX *); -int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx); -int ec_GF2m_have_precompute_mult(const EC_GROUP *group); - -#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 -/* method functions in ecp_nistp224.c */ -int ec_GFp_nistp224_group_init(EC_GROUP *group); -int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p, - const BIGNUM *a, const BIGNUM *n, - BN_CTX *); -int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group, - const EC_POINT *point, - BIGNUM *x, BIGNUM *y, - BN_CTX *ctx); -int ec_GFp_nistp224_mul(const EC_GROUP *group, EC_POINT *r, - const BIGNUM *scalar, size_t num, - const EC_POINT *points[], const BIGNUM *scalars[], - BN_CTX *); -int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r, - const BIGNUM *scalar, size_t num, - const EC_POINT *points[], - const BIGNUM *scalars[], BN_CTX *ctx); -int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx); -int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group); - -/* method functions in ecp_nistp256.c */ -int ec_GFp_nistp256_group_init(EC_GROUP *group); -int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p, - const BIGNUM *a, const BIGNUM *n, - BN_CTX *); -int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group, - const EC_POINT *point, - BIGNUM *x, BIGNUM *y, - BN_CTX *ctx); -int ec_GFp_nistp256_mul(const EC_GROUP *group, EC_POINT *r, - const BIGNUM *scalar, size_t num, - const EC_POINT *points[], const BIGNUM *scalars[], - BN_CTX *); -int ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r, - const BIGNUM *scalar, size_t num, - const EC_POINT *points[], - const BIGNUM *scalars[], BN_CTX *ctx); -int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx); -int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group); - -/* method functions in ecp_nistp521.c */ -int ec_GFp_nistp521_group_init(EC_GROUP *group); -int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p, - const BIGNUM *a, const BIGNUM *n, - BN_CTX *); -int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group, - const EC_POINT *point, - BIGNUM *x, BIGNUM *y, - BN_CTX *ctx); -int ec_GFp_nistp521_mul(const EC_GROUP *group, EC_POINT *r, - const BIGNUM *scalar, size_t num, - const EC_POINT *points[], const BIGNUM *scalars[], - BN_CTX *); -int ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r, - const BIGNUM *scalar, size_t num, - const EC_POINT *points[], - const BIGNUM *scalars[], BN_CTX *ctx); -int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx); -int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group); - -/* utility functions in ecp_nistputil.c */ -void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array, - size_t felem_size, - void *tmp_felems, - void (*felem_one) (void *out), - int (*felem_is_zero) (const void - *in), - void (*felem_assign) (void *out, - const void - *in), - void (*felem_square) (void *out, - const void - *in), - void (*felem_mul) (void *out, - const void - *in1, - const void - *in2), - void (*felem_inv) (void *out, - const void - *in), - void (*felem_contract) (void - *out, - const - void - *in)); -void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign, - unsigned char *digit, unsigned char in); -#endif -int ec_precompute_mont_data(EC_GROUP *); - -#ifdef ECP_NISTZ256_ASM -/** Returns GFp methods using montgomery multiplication, with x86-64 optimized - * P256. See http://eprint.iacr.org/2013/816. - * \return EC_METHOD object - */ -const EC_METHOD *EC_GFp_nistz256_method(void); -#endif - -#ifdef OPENSSL_FIPS -EC_GROUP *FIPS_ec_group_new_curve_gfp(const BIGNUM *p, const BIGNUM *a, - const BIGNUM *b, BN_CTX *ctx); -EC_GROUP *FIPS_ec_group_new_curve_gf2m(const BIGNUM *p, const BIGNUM *a, - const BIGNUM *b, BN_CTX *ctx); -EC_GROUP *FIPS_ec_group_new_by_curve_name(int nid); -#endif diff --git a/thirdparty/openssl/crypto/ec/ec_lib.c b/thirdparty/openssl/crypto/ec/ec_lib.c deleted file mode 100644 index 3ffa112cc3..0000000000 --- a/thirdparty/openssl/crypto/ec/ec_lib.c +++ /dev/null @@ -1,1134 +0,0 @@ -/* crypto/ec/ec_lib.c */ -/* - * Originally written by Bodo Moeller for the OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2003 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * Binary polynomial ECC support in OpenSSL originally developed by - * SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project. - */ - -#include <string.h> - -#include <openssl/err.h> -#include <openssl/opensslv.h> - -#include "ec_lcl.h" - -const char EC_version[] = "EC" OPENSSL_VERSION_PTEXT; - -/* functions for EC_GROUP objects */ - -EC_GROUP *EC_GROUP_new(const EC_METHOD *meth) -{ - EC_GROUP *ret; - - if (meth == NULL) { - ECerr(EC_F_EC_GROUP_NEW, EC_R_SLOT_FULL); - return NULL; - } - if (meth->group_init == 0) { - ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return NULL; - } - - ret = OPENSSL_malloc(sizeof *ret); - if (ret == NULL) { - ECerr(EC_F_EC_GROUP_NEW, ERR_R_MALLOC_FAILURE); - return NULL; - } - - ret->meth = meth; - - ret->extra_data = NULL; - ret->mont_data = NULL; - - ret->generator = NULL; - BN_init(&ret->order); - BN_init(&ret->cofactor); - - ret->curve_name = 0; - ret->asn1_flag = ~EC_GROUP_ASN1_FLAG_MASK; - ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED; - - ret->seed = NULL; - ret->seed_len = 0; - - if (!meth->group_init(ret)) { - OPENSSL_free(ret); - return NULL; - } - - return ret; -} - -void EC_GROUP_free(EC_GROUP *group) -{ - if (!group) - return; - - if (group->meth->group_finish != 0) - group->meth->group_finish(group); - - EC_EX_DATA_free_all_data(&group->extra_data); - - if (EC_GROUP_VERSION(group) && group->mont_data) - BN_MONT_CTX_free(group->mont_data); - - if (group->generator != NULL) - EC_POINT_free(group->generator); - BN_free(&group->order); - BN_free(&group->cofactor); - - if (group->seed) - OPENSSL_free(group->seed); - - OPENSSL_free(group); -} - -void EC_GROUP_clear_free(EC_GROUP *group) -{ - if (!group) - return; - - if (group->meth->group_clear_finish != 0) - group->meth->group_clear_finish(group); - else if (group->meth->group_finish != 0) - group->meth->group_finish(group); - - EC_EX_DATA_clear_free_all_data(&group->extra_data); - - if (EC_GROUP_VERSION(group) && group->mont_data) - BN_MONT_CTX_free(group->mont_data); - - if (group->generator != NULL) - EC_POINT_clear_free(group->generator); - BN_clear_free(&group->order); - BN_clear_free(&group->cofactor); - - if (group->seed) { - OPENSSL_cleanse(group->seed, group->seed_len); - OPENSSL_free(group->seed); - } - - OPENSSL_cleanse(group, sizeof *group); - OPENSSL_free(group); -} - -int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src) -{ - EC_EXTRA_DATA *d; - - if (dest->meth->group_copy == 0) { - ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (dest->meth != src->meth) { - ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - if (dest == src) - return 1; - - EC_EX_DATA_free_all_data(&dest->extra_data); - - for (d = src->extra_data; d != NULL; d = d->next) { - void *t = d->dup_func(d->data); - - if (t == NULL) - return 0; - if (!EC_EX_DATA_set_data - (&dest->extra_data, t, d->dup_func, d->free_func, - d->clear_free_func)) - return 0; - } - - if (EC_GROUP_VERSION(src) && src->mont_data != NULL) { - if (dest->mont_data == NULL) { - dest->mont_data = BN_MONT_CTX_new(); - if (dest->mont_data == NULL) - return 0; - } - if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data)) - return 0; - } else { - /* src->generator == NULL */ - if (EC_GROUP_VERSION(dest) && dest->mont_data != NULL) { - BN_MONT_CTX_free(dest->mont_data); - dest->mont_data = NULL; - } - } - - if (src->generator != NULL) { - if (dest->generator == NULL) { - dest->generator = EC_POINT_new(dest); - if (dest->generator == NULL) - return 0; - } - if (!EC_POINT_copy(dest->generator, src->generator)) - return 0; - } else { - /* src->generator == NULL */ - if (dest->generator != NULL) { - EC_POINT_clear_free(dest->generator); - dest->generator = NULL; - } - } - - if (!BN_copy(&dest->order, &src->order)) - return 0; - if (!BN_copy(&dest->cofactor, &src->cofactor)) - return 0; - - dest->curve_name = src->curve_name; - dest->asn1_flag = src->asn1_flag; - dest->asn1_form = src->asn1_form; - - if (src->seed) { - if (dest->seed) - OPENSSL_free(dest->seed); - dest->seed = OPENSSL_malloc(src->seed_len); - if (dest->seed == NULL) - return 0; - if (!memcpy(dest->seed, src->seed, src->seed_len)) - return 0; - dest->seed_len = src->seed_len; - } else { - if (dest->seed) - OPENSSL_free(dest->seed); - dest->seed = NULL; - dest->seed_len = 0; - } - - return dest->meth->group_copy(dest, src); -} - -EC_GROUP *EC_GROUP_dup(const EC_GROUP *a) -{ - EC_GROUP *t = NULL; - int ok = 0; - - if (a == NULL) - return NULL; - - if ((t = EC_GROUP_new(a->meth)) == NULL) - return (NULL); - if (!EC_GROUP_copy(t, a)) - goto err; - - ok = 1; - - err: - if (!ok) { - if (t) - EC_GROUP_free(t); - return NULL; - } else - return t; -} - -const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group) -{ - return group->meth; -} - -int EC_METHOD_get_field_type(const EC_METHOD *meth) -{ - return meth->field_type; -} - -int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, - const BIGNUM *order, const BIGNUM *cofactor) -{ - if (generator == NULL) { - ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER); - return 0; - } - - if (group->generator == NULL) { - group->generator = EC_POINT_new(group); - if (group->generator == NULL) - return 0; - } - if (!EC_POINT_copy(group->generator, generator)) - return 0; - - if (order != NULL) { - if (!BN_copy(&group->order, order)) - return 0; - } else - BN_zero(&group->order); - - if (cofactor != NULL) { - if (!BN_copy(&group->cofactor, cofactor)) - return 0; - } else - BN_zero(&group->cofactor); - - /* - * We ignore the return value because some groups have an order with - * factors of two, which makes the Montgomery setup fail. - * |group->mont_data| will be NULL in this case. - */ - ec_precompute_mont_data(group); - - return 1; -} - -const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group) -{ - return group->generator; -} - -BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group) -{ - return EC_GROUP_VERSION(group) ? group->mont_data : NULL; -} - -int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx) -{ - if (!BN_copy(order, &group->order)) - return 0; - - return !BN_is_zero(order); -} - -int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, - BN_CTX *ctx) -{ - if (!BN_copy(cofactor, &group->cofactor)) - return 0; - - return !BN_is_zero(&group->cofactor); -} - -void EC_GROUP_set_curve_name(EC_GROUP *group, int nid) -{ - group->curve_name = nid; -} - -int EC_GROUP_get_curve_name(const EC_GROUP *group) -{ - return group->curve_name; -} - -void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag) -{ - group->asn1_flag &= ~EC_GROUP_ASN1_FLAG_MASK; - group->asn1_flag |= flag & EC_GROUP_ASN1_FLAG_MASK; -} - -int EC_GROUP_get_asn1_flag(const EC_GROUP *group) -{ - return group->asn1_flag & EC_GROUP_ASN1_FLAG_MASK; -} - -void EC_GROUP_set_point_conversion_form(EC_GROUP *group, - point_conversion_form_t form) -{ - group->asn1_form = form; -} - -point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP - *group) -{ - return group->asn1_form; -} - -size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len) -{ - if (group->seed) { - OPENSSL_free(group->seed); - group->seed = NULL; - group->seed_len = 0; - } - - if (!len || !p) - return 1; - - if ((group->seed = OPENSSL_malloc(len)) == NULL) - return 0; - memcpy(group->seed, p, len); - group->seed_len = len; - - return len; -} - -unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group) -{ - return group->seed; -} - -size_t EC_GROUP_get_seed_len(const EC_GROUP *group) -{ - return group->seed_len; -} - -int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, - const BIGNUM *b, BN_CTX *ctx) -{ - if (group->meth->group_set_curve == 0) { - ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - return group->meth->group_set_curve(group, p, a, b, ctx); -} - -int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, - BIGNUM *b, BN_CTX *ctx) -{ - if (group->meth->group_get_curve == 0) { - ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - return group->meth->group_get_curve(group, p, a, b, ctx); -} - -#ifndef OPENSSL_NO_EC2M -int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, - const BIGNUM *b, BN_CTX *ctx) -{ - if (group->meth->group_set_curve == 0) { - ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - return group->meth->group_set_curve(group, p, a, b, ctx); -} - -int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, - BIGNUM *b, BN_CTX *ctx) -{ - if (group->meth->group_get_curve == 0) { - ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - return group->meth->group_get_curve(group, p, a, b, ctx); -} -#endif - -int EC_GROUP_get_degree(const EC_GROUP *group) -{ - if (group->meth->group_get_degree == 0) { - ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - return group->meth->group_get_degree(group); -} - -int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx) -{ - if (group->meth->group_check_discriminant == 0) { - ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - return group->meth->group_check_discriminant(group, ctx); -} - -int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx) -{ - int r = 0; - BIGNUM *a1, *a2, *a3, *b1, *b2, *b3; - BN_CTX *ctx_new = NULL; - - /* compare the field types */ - if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) != - EC_METHOD_get_field_type(EC_GROUP_method_of(b))) - return 1; - /* compare the curve name (if present in both) */ - if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) && - EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b)) - return 1; - - if (!ctx) - ctx_new = ctx = BN_CTX_new(); - if (!ctx) - return -1; - - BN_CTX_start(ctx); - a1 = BN_CTX_get(ctx); - a2 = BN_CTX_get(ctx); - a3 = BN_CTX_get(ctx); - b1 = BN_CTX_get(ctx); - b2 = BN_CTX_get(ctx); - b3 = BN_CTX_get(ctx); - if (!b3) { - BN_CTX_end(ctx); - if (ctx_new) - BN_CTX_free(ctx); - return -1; - } - - /* - * XXX This approach assumes that the external representation of curves - * over the same field type is the same. - */ - if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) || - !b->meth->group_get_curve(b, b1, b2, b3, ctx)) - r = 1; - - if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3)) - r = 1; - - /* XXX EC_POINT_cmp() assumes that the methods are equal */ - if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a), - EC_GROUP_get0_generator(b), ctx)) - r = 1; - - if (!r) { - /* compare the order and cofactor */ - if (!EC_GROUP_get_order(a, a1, ctx) || - !EC_GROUP_get_order(b, b1, ctx) || - !EC_GROUP_get_cofactor(a, a2, ctx) || - !EC_GROUP_get_cofactor(b, b2, ctx)) { - BN_CTX_end(ctx); - if (ctx_new) - BN_CTX_free(ctx); - return -1; - } - if (BN_cmp(a1, b1) || BN_cmp(a2, b2)) - r = 1; - } - - BN_CTX_end(ctx); - if (ctx_new) - BN_CTX_free(ctx); - - return r; -} - -/* this has 'package' visibility */ -int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data, - void *(*dup_func) (void *), - void (*free_func) (void *), - void (*clear_free_func) (void *)) -{ - EC_EXTRA_DATA *d; - - if (ex_data == NULL) - return 0; - - for (d = *ex_data; d != NULL; d = d->next) { - if (d->dup_func == dup_func && d->free_func == free_func - && d->clear_free_func == clear_free_func) { - ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL); - return 0; - } - } - - if (data == NULL) - /* no explicit entry needed */ - return 1; - - d = OPENSSL_malloc(sizeof *d); - if (d == NULL) - return 0; - - d->data = data; - d->dup_func = dup_func; - d->free_func = free_func; - d->clear_free_func = clear_free_func; - - d->next = *ex_data; - *ex_data = d; - - return 1; -} - -/* this has 'package' visibility */ -void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data, - void *(*dup_func) (void *), - void (*free_func) (void *), - void (*clear_free_func) (void *)) -{ - const EC_EXTRA_DATA *d; - - for (d = ex_data; d != NULL; d = d->next) { - if (d->dup_func == dup_func && d->free_func == free_func - && d->clear_free_func == clear_free_func) - return d->data; - } - - return NULL; -} - -/* this has 'package' visibility */ -void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data, - void *(*dup_func) (void *), - void (*free_func) (void *), - void (*clear_free_func) (void *)) -{ - EC_EXTRA_DATA **p; - - if (ex_data == NULL) - return; - - for (p = ex_data; *p != NULL; p = &((*p)->next)) { - if ((*p)->dup_func == dup_func && (*p)->free_func == free_func - && (*p)->clear_free_func == clear_free_func) { - EC_EXTRA_DATA *next = (*p)->next; - - (*p)->free_func((*p)->data); - OPENSSL_free(*p); - - *p = next; - return; - } - } -} - -/* this has 'package' visibility */ -void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data, - void *(*dup_func) (void *), - void (*free_func) (void *), - void (*clear_free_func) (void *)) -{ - EC_EXTRA_DATA **p; - - if (ex_data == NULL) - return; - - for (p = ex_data; *p != NULL; p = &((*p)->next)) { - if ((*p)->dup_func == dup_func && (*p)->free_func == free_func - && (*p)->clear_free_func == clear_free_func) { - EC_EXTRA_DATA *next = (*p)->next; - - (*p)->clear_free_func((*p)->data); - OPENSSL_free(*p); - - *p = next; - return; - } - } -} - -/* this has 'package' visibility */ -void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data) -{ - EC_EXTRA_DATA *d; - - if (ex_data == NULL) - return; - - d = *ex_data; - while (d) { - EC_EXTRA_DATA *next = d->next; - - d->free_func(d->data); - OPENSSL_free(d); - - d = next; - } - *ex_data = NULL; -} - -/* this has 'package' visibility */ -void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data) -{ - EC_EXTRA_DATA *d; - - if (ex_data == NULL) - return; - - d = *ex_data; - while (d) { - EC_EXTRA_DATA *next = d->next; - - d->clear_free_func(d->data); - OPENSSL_free(d); - - d = next; - } - *ex_data = NULL; -} - -/* functions for EC_POINT objects */ - -EC_POINT *EC_POINT_new(const EC_GROUP *group) -{ - EC_POINT *ret; - - if (group == NULL) { - ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER); - return NULL; - } - if (group->meth->point_init == 0) { - ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return NULL; - } - - ret = OPENSSL_malloc(sizeof *ret); - if (ret == NULL) { - ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE); - return NULL; - } - - ret->meth = group->meth; - - if (!ret->meth->point_init(ret)) { - OPENSSL_free(ret); - return NULL; - } - - return ret; -} - -void EC_POINT_free(EC_POINT *point) -{ - if (!point) - return; - - if (point->meth->point_finish != 0) - point->meth->point_finish(point); - OPENSSL_free(point); -} - -void EC_POINT_clear_free(EC_POINT *point) -{ - if (!point) - return; - - if (point->meth->point_clear_finish != 0) - point->meth->point_clear_finish(point); - else if (point->meth->point_finish != 0) - point->meth->point_finish(point); - OPENSSL_cleanse(point, sizeof *point); - OPENSSL_free(point); -} - -int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src) -{ - if (dest->meth->point_copy == 0) { - ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (dest->meth != src->meth) { - ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - if (dest == src) - return 1; - return dest->meth->point_copy(dest, src); -} - -EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group) -{ - EC_POINT *t; - int r; - - if (a == NULL) - return NULL; - - t = EC_POINT_new(group); - if (t == NULL) - return (NULL); - r = EC_POINT_copy(t, a); - if (!r) { - EC_POINT_free(t); - return NULL; - } else - return t; -} - -const EC_METHOD *EC_POINT_method_of(const EC_POINT *point) -{ - return point->meth; -} - -int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point) -{ - if (group->meth->point_set_to_infinity == 0) { - ECerr(EC_F_EC_POINT_SET_TO_INFINITY, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - return group->meth->point_set_to_infinity(group, point); -} - -int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, - EC_POINT *point, const BIGNUM *x, - const BIGNUM *y, const BIGNUM *z, - BN_CTX *ctx) -{ - if (group->meth->point_set_Jprojective_coordinates_GFp == 0) { - ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, - EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, - y, z, ctx); -} - -int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, - const EC_POINT *point, BIGNUM *x, - BIGNUM *y, BIGNUM *z, - BN_CTX *ctx) -{ - if (group->meth->point_get_Jprojective_coordinates_GFp == 0) { - ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, - EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x, - y, z, ctx); -} - -int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, - EC_POINT *point, const BIGNUM *x, - const BIGNUM *y, BN_CTX *ctx) -{ - if (group->meth->point_set_affine_coordinates == 0) { - ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, - EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - return group->meth->point_set_affine_coordinates(group, point, x, y, ctx); -} - -#ifndef OPENSSL_NO_EC2M -int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, - EC_POINT *point, const BIGNUM *x, - const BIGNUM *y, BN_CTX *ctx) -{ - if (group->meth->point_set_affine_coordinates == 0) { - ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, - EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - return group->meth->point_set_affine_coordinates(group, point, x, y, ctx); -} -#endif - -int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, - const EC_POINT *point, BIGNUM *x, - BIGNUM *y, BN_CTX *ctx) -{ - if (group->meth->point_get_affine_coordinates == 0) { - ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, - EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - return group->meth->point_get_affine_coordinates(group, point, x, y, ctx); -} - -#ifndef OPENSSL_NO_EC2M -int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, - const EC_POINT *point, BIGNUM *x, - BIGNUM *y, BN_CTX *ctx) -{ - if (group->meth->point_get_affine_coordinates == 0) { - ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, - EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - return group->meth->point_get_affine_coordinates(group, point, x, y, ctx); -} -#endif - -int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, - const EC_POINT *b, BN_CTX *ctx) -{ - if (group->meth->add == 0) { - ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if ((group->meth != r->meth) || (r->meth != a->meth) - || (a->meth != b->meth)) { - ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - return group->meth->add(group, r, a, b, ctx); -} - -int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, - BN_CTX *ctx) -{ - if (group->meth->dbl == 0) { - ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if ((group->meth != r->meth) || (r->meth != a->meth)) { - ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - return group->meth->dbl(group, r, a, ctx); -} - -int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx) -{ - if (group->meth->invert == 0) { - ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != a->meth) { - ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - return group->meth->invert(group, a, ctx); -} - -int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point) -{ - if (group->meth->is_at_infinity == 0) { - ECerr(EC_F_EC_POINT_IS_AT_INFINITY, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - return group->meth->is_at_infinity(group, point); -} - -/* - * Check whether an EC_POINT is on the curve or not. Note that the return - * value for this function should NOT be treated as a boolean. Return values: - * 1: The point is on the curve - * 0: The point is not on the curve - * -1: An error occurred - */ -int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, - BN_CTX *ctx) -{ - if (group->meth->is_on_curve == 0) { - ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - return group->meth->is_on_curve(group, point, ctx); -} - -int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, - BN_CTX *ctx) -{ - if (group->meth->point_cmp == 0) { - ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return -1; - } - if ((group->meth != a->meth) || (a->meth != b->meth)) { - ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS); - return -1; - } - return group->meth->point_cmp(group, a, b, ctx); -} - -int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx) -{ - if (group->meth->make_affine == 0) { - ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - return group->meth->make_affine(group, point, ctx); -} - -int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, - EC_POINT *points[], BN_CTX *ctx) -{ - size_t i; - - if (group->meth->points_make_affine == 0) { - ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - for (i = 0; i < num; i++) { - if (group->meth != points[i]->meth) { - ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - } - return group->meth->points_make_affine(group, num, points, ctx); -} - -/* - * Functions for point multiplication. If group->meth->mul is 0, we use the - * wNAF-based implementations in ec_mult.c; otherwise we dispatch through - * methods. - */ - -int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, - size_t num, const EC_POINT *points[], - const BIGNUM *scalars[], BN_CTX *ctx) -{ - if (group->meth->mul == 0) - /* use default */ - return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx); - - return group->meth->mul(group, r, scalar, num, points, scalars, ctx); -} - -int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar, - const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx) -{ - /* just a convenient interface to EC_POINTs_mul() */ - - const EC_POINT *points[1]; - const BIGNUM *scalars[1]; - - points[0] = point; - scalars[0] = p_scalar; - - return EC_POINTs_mul(group, r, g_scalar, - (point != NULL - && p_scalar != NULL), points, scalars, ctx); -} - -int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx) -{ - if (group->meth->mul == 0) - /* use default */ - return ec_wNAF_precompute_mult(group, ctx); - - if (group->meth->precompute_mult != 0) - return group->meth->precompute_mult(group, ctx); - else - return 1; /* nothing to do, so report success */ -} - -int EC_GROUP_have_precompute_mult(const EC_GROUP *group) -{ - if (group->meth->mul == 0) - /* use default */ - return ec_wNAF_have_precompute_mult(group); - - if (group->meth->have_precompute_mult != 0) - return group->meth->have_precompute_mult(group); - else - return 0; /* cannot tell whether precomputation has - * been performed */ -} - -/* - * ec_precompute_mont_data sets |group->mont_data| from |group->order| and - * returns one on success. On error it returns zero. - */ -int ec_precompute_mont_data(EC_GROUP *group) -{ - BN_CTX *ctx = BN_CTX_new(); - int ret = 0; - - if (!EC_GROUP_VERSION(group)) - goto err; - - if (group->mont_data) { - BN_MONT_CTX_free(group->mont_data); - group->mont_data = NULL; - } - - if (ctx == NULL) - goto err; - - group->mont_data = BN_MONT_CTX_new(); - if (!group->mont_data) - goto err; - - if (!BN_MONT_CTX_set(group->mont_data, &group->order, ctx)) { - BN_MONT_CTX_free(group->mont_data); - group->mont_data = NULL; - goto err; - } - - ret = 1; - - err: - - if (ctx) - BN_CTX_free(ctx); - return ret; -} diff --git a/thirdparty/openssl/crypto/ec/ec_mult.c b/thirdparty/openssl/crypto/ec/ec_mult.c deleted file mode 100644 index 24ca67a6ef..0000000000 --- a/thirdparty/openssl/crypto/ec/ec_mult.c +++ /dev/null @@ -1,917 +0,0 @@ -/* crypto/ec/ec_mult.c */ -/* - * Originally written by Bodo Moeller and Nils Larsch for the OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2007 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * Portions of this software developed by SUN MICROSYSTEMS, INC., - * and contributed to the OpenSSL project. - */ - -#include <string.h> - -#include <openssl/err.h> - -#include "ec_lcl.h" - -/* - * This file implements the wNAF-based interleaving multi-exponentiation method - * Formerly at: - * http://www.informatik.tu-darmstadt.de/TI/Mitarbeiter/moeller.html#multiexp - * You might now find it here: - * http://link.springer.com/chapter/10.1007%2F3-540-45537-X_13 - * http://www.bmoeller.de/pdf/TI-01-08.multiexp.pdf - * For multiplication with precomputation, we use wNAF splitting, formerly at: - * http://www.informatik.tu-darmstadt.de/TI/Mitarbeiter/moeller.html#fastexp - */ - -/* structure for precomputed multiples of the generator */ -typedef struct ec_pre_comp_st { - const EC_GROUP *group; /* parent EC_GROUP object */ - size_t blocksize; /* block size for wNAF splitting */ - size_t numblocks; /* max. number of blocks for which we have - * precomputation */ - size_t w; /* window size */ - EC_POINT **points; /* array with pre-calculated multiples of - * generator: 'num' pointers to EC_POINT - * objects followed by a NULL */ - size_t num; /* numblocks * 2^(w-1) */ - int references; -} EC_PRE_COMP; - -/* functions to manage EC_PRE_COMP within the EC_GROUP extra_data framework */ -static void *ec_pre_comp_dup(void *); -static void ec_pre_comp_free(void *); -static void ec_pre_comp_clear_free(void *); - -static EC_PRE_COMP *ec_pre_comp_new(const EC_GROUP *group) -{ - EC_PRE_COMP *ret = NULL; - - if (!group) - return NULL; - - ret = (EC_PRE_COMP *)OPENSSL_malloc(sizeof(EC_PRE_COMP)); - if (!ret) { - ECerr(EC_F_EC_PRE_COMP_NEW, ERR_R_MALLOC_FAILURE); - return ret; - } - ret->group = group; - ret->blocksize = 8; /* default */ - ret->numblocks = 0; - ret->w = 4; /* default */ - ret->points = NULL; - ret->num = 0; - ret->references = 1; - return ret; -} - -static void *ec_pre_comp_dup(void *src_) -{ - EC_PRE_COMP *src = src_; - - /* no need to actually copy, these objects never change! */ - - CRYPTO_add(&src->references, 1, CRYPTO_LOCK_EC_PRE_COMP); - - return src_; -} - -static void ec_pre_comp_free(void *pre_) -{ - int i; - EC_PRE_COMP *pre = pre_; - - if (!pre) - return; - - i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP); - if (i > 0) - return; - - if (pre->points) { - EC_POINT **p; - - for (p = pre->points; *p != NULL; p++) - EC_POINT_free(*p); - OPENSSL_free(pre->points); - } - OPENSSL_free(pre); -} - -static void ec_pre_comp_clear_free(void *pre_) -{ - int i; - EC_PRE_COMP *pre = pre_; - - if (!pre) - return; - - i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP); - if (i > 0) - return; - - if (pre->points) { - EC_POINT **p; - - for (p = pre->points; *p != NULL; p++) { - EC_POINT_clear_free(*p); - OPENSSL_cleanse(p, sizeof *p); - } - OPENSSL_free(pre->points); - } - OPENSSL_cleanse(pre, sizeof *pre); - OPENSSL_free(pre); -} - -/*- - * Determine the modified width-(w+1) Non-Adjacent Form (wNAF) of 'scalar'. - * This is an array r[] of values that are either zero or odd with an - * absolute value less than 2^w satisfying - * scalar = \sum_j r[j]*2^j - * where at most one of any w+1 consecutive digits is non-zero - * with the exception that the most significant digit may be only - * w-1 zeros away from that next non-zero digit. - */ -static signed char *compute_wNAF(const BIGNUM *scalar, int w, size_t *ret_len) -{ - int window_val; - int ok = 0; - signed char *r = NULL; - int sign = 1; - int bit, next_bit, mask; - size_t len = 0, j; - - if (BN_is_zero(scalar)) { - r = OPENSSL_malloc(1); - if (!r) { - ECerr(EC_F_COMPUTE_WNAF, ERR_R_MALLOC_FAILURE); - goto err; - } - r[0] = 0; - *ret_len = 1; - return r; - } - - if (w <= 0 || w > 7) { /* 'signed char' can represent integers with - * absolute values less than 2^7 */ - ECerr(EC_F_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR); - goto err; - } - bit = 1 << w; /* at most 128 */ - next_bit = bit << 1; /* at most 256 */ - mask = next_bit - 1; /* at most 255 */ - - if (BN_is_negative(scalar)) { - sign = -1; - } - - if (scalar->d == NULL || scalar->top == 0) { - ECerr(EC_F_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR); - goto err; - } - - len = BN_num_bits(scalar); - r = OPENSSL_malloc(len + 1); /* modified wNAF may be one digit longer - * than binary representation (*ret_len will - * be set to the actual length, i.e. at most - * BN_num_bits(scalar) + 1) */ - if (r == NULL) { - ECerr(EC_F_COMPUTE_WNAF, ERR_R_MALLOC_FAILURE); - goto err; - } - window_val = scalar->d[0] & mask; - j = 0; - while ((window_val != 0) || (j + w + 1 < len)) { /* if j+w+1 >= len, - * window_val will not - * increase */ - int digit = 0; - - /* 0 <= window_val <= 2^(w+1) */ - - if (window_val & 1) { - /* 0 < window_val < 2^(w+1) */ - - if (window_val & bit) { - digit = window_val - next_bit; /* -2^w < digit < 0 */ - -#if 1 /* modified wNAF */ - if (j + w + 1 >= len) { - /* - * special case for generating modified wNAFs: no new - * bits will be added into window_val, so using a - * positive digit here will decrease the total length of - * the representation - */ - - digit = window_val & (mask >> 1); /* 0 < digit < 2^w */ - } -#endif - } else { - digit = window_val; /* 0 < digit < 2^w */ - } - - if (digit <= -bit || digit >= bit || !(digit & 1)) { - ECerr(EC_F_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR); - goto err; - } - - window_val -= digit; - - /* - * now window_val is 0 or 2^(w+1) in standard wNAF generation; - * for modified window NAFs, it may also be 2^w - */ - if (window_val != 0 && window_val != next_bit - && window_val != bit) { - ECerr(EC_F_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR); - goto err; - } - } - - r[j++] = sign * digit; - - window_val >>= 1; - window_val += bit * BN_is_bit_set(scalar, j + w); - - if (window_val > next_bit) { - ECerr(EC_F_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR); - goto err; - } - } - - if (j > len + 1) { - ECerr(EC_F_COMPUTE_WNAF, ERR_R_INTERNAL_ERROR); - goto err; - } - len = j; - ok = 1; - - err: - if (!ok) { - OPENSSL_free(r); - r = NULL; - } - if (ok) - *ret_len = len; - return r; -} - -/* - * TODO: table should be optimised for the wNAF-based implementation, - * sometimes smaller windows will give better performance (thus the - * boundaries should be increased) - */ -#define EC_window_bits_for_scalar_size(b) \ - ((size_t) \ - ((b) >= 2000 ? 6 : \ - (b) >= 800 ? 5 : \ - (b) >= 300 ? 4 : \ - (b) >= 70 ? 3 : \ - (b) >= 20 ? 2 : \ - 1)) - -/*- - * Compute - * \sum scalars[i]*points[i], - * also including - * scalar*generator - * in the addition if scalar != NULL - */ -int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, - size_t num, const EC_POINT *points[], const BIGNUM *scalars[], - BN_CTX *ctx) -{ - BN_CTX *new_ctx = NULL; - const EC_POINT *generator = NULL; - EC_POINT *tmp = NULL; - size_t totalnum; - size_t blocksize = 0, numblocks = 0; /* for wNAF splitting */ - size_t pre_points_per_block = 0; - size_t i, j; - int k; - int r_is_inverted = 0; - int r_is_at_infinity = 1; - size_t *wsize = NULL; /* individual window sizes */ - signed char **wNAF = NULL; /* individual wNAFs */ - size_t *wNAF_len = NULL; - size_t max_len = 0; - size_t num_val; - EC_POINT **val = NULL; /* precomputation */ - EC_POINT **v; - EC_POINT ***val_sub = NULL; /* pointers to sub-arrays of 'val' or - * 'pre_comp->points' */ - const EC_PRE_COMP *pre_comp = NULL; - int num_scalar = 0; /* flag: will be set to 1 if 'scalar' must be - * treated like other scalars, i.e. - * precomputation is not available */ - int ret = 0; - - if (group->meth != r->meth) { - ECerr(EC_F_EC_WNAF_MUL, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - - if ((scalar == NULL) && (num == 0)) { - return EC_POINT_set_to_infinity(group, r); - } - - for (i = 0; i < num; i++) { - if (group->meth != points[i]->meth) { - ECerr(EC_F_EC_WNAF_MUL, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - } - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - goto err; - } - - if (scalar != NULL) { - generator = EC_GROUP_get0_generator(group); - if (generator == NULL) { - ECerr(EC_F_EC_WNAF_MUL, EC_R_UNDEFINED_GENERATOR); - goto err; - } - - /* look if we can use precomputed multiples of generator */ - - pre_comp = - EC_EX_DATA_get_data(group->extra_data, ec_pre_comp_dup, - ec_pre_comp_free, ec_pre_comp_clear_free); - - if (pre_comp && pre_comp->numblocks - && (EC_POINT_cmp(group, generator, pre_comp->points[0], ctx) == - 0)) { - blocksize = pre_comp->blocksize; - - /* - * determine maximum number of blocks that wNAF splitting may - * yield (NB: maximum wNAF length is bit length plus one) - */ - numblocks = (BN_num_bits(scalar) / blocksize) + 1; - - /* - * we cannot use more blocks than we have precomputation for - */ - if (numblocks > pre_comp->numblocks) - numblocks = pre_comp->numblocks; - - pre_points_per_block = (size_t)1 << (pre_comp->w - 1); - - /* check that pre_comp looks sane */ - if (pre_comp->num != (pre_comp->numblocks * pre_points_per_block)) { - ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR); - goto err; - } - } else { - /* can't use precomputation */ - pre_comp = NULL; - numblocks = 1; - num_scalar = 1; /* treat 'scalar' like 'num'-th element of - * 'scalars' */ - } - } - - totalnum = num + numblocks; - - wsize = OPENSSL_malloc(totalnum * sizeof wsize[0]); - wNAF_len = OPENSSL_malloc(totalnum * sizeof wNAF_len[0]); - wNAF = OPENSSL_malloc((totalnum + 1) * sizeof wNAF[0]); /* includes space - * for pivot */ - val_sub = OPENSSL_malloc(totalnum * sizeof val_sub[0]); - - /* Ensure wNAF is initialised in case we end up going to err */ - if (wNAF) - wNAF[0] = NULL; /* preliminary pivot */ - - if (!wsize || !wNAF_len || !wNAF || !val_sub) { - ECerr(EC_F_EC_WNAF_MUL, ERR_R_MALLOC_FAILURE); - goto err; - } - - /* - * num_val will be the total number of temporarily precomputed points - */ - num_val = 0; - - for (i = 0; i < num + num_scalar; i++) { - size_t bits; - - bits = i < num ? BN_num_bits(scalars[i]) : BN_num_bits(scalar); - wsize[i] = EC_window_bits_for_scalar_size(bits); - num_val += (size_t)1 << (wsize[i] - 1); - wNAF[i + 1] = NULL; /* make sure we always have a pivot */ - wNAF[i] = - compute_wNAF((i < num ? scalars[i] : scalar), wsize[i], - &wNAF_len[i]); - if (wNAF[i] == NULL) - goto err; - if (wNAF_len[i] > max_len) - max_len = wNAF_len[i]; - } - - if (numblocks) { - /* we go here iff scalar != NULL */ - - if (pre_comp == NULL) { - if (num_scalar != 1) { - ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR); - goto err; - } - /* we have already generated a wNAF for 'scalar' */ - } else { - signed char *tmp_wNAF = NULL; - size_t tmp_len = 0; - - if (num_scalar != 0) { - ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR); - goto err; - } - - /* - * use the window size for which we have precomputation - */ - wsize[num] = pre_comp->w; - tmp_wNAF = compute_wNAF(scalar, wsize[num], &tmp_len); - if (!tmp_wNAF) - goto err; - - if (tmp_len <= max_len) { - /* - * One of the other wNAFs is at least as long as the wNAF - * belonging to the generator, so wNAF splitting will not buy - * us anything. - */ - - numblocks = 1; - totalnum = num + 1; /* don't use wNAF splitting */ - wNAF[num] = tmp_wNAF; - wNAF[num + 1] = NULL; - wNAF_len[num] = tmp_len; - if (tmp_len > max_len) - max_len = tmp_len; - /* - * pre_comp->points starts with the points that we need here: - */ - val_sub[num] = pre_comp->points; - } else { - /* - * don't include tmp_wNAF directly into wNAF array - use wNAF - * splitting and include the blocks - */ - - signed char *pp; - EC_POINT **tmp_points; - - if (tmp_len < numblocks * blocksize) { - /* - * possibly we can do with fewer blocks than estimated - */ - numblocks = (tmp_len + blocksize - 1) / blocksize; - if (numblocks > pre_comp->numblocks) { - ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR); - goto err; - } - totalnum = num + numblocks; - } - - /* split wNAF in 'numblocks' parts */ - pp = tmp_wNAF; - tmp_points = pre_comp->points; - - for (i = num; i < totalnum; i++) { - if (i < totalnum - 1) { - wNAF_len[i] = blocksize; - if (tmp_len < blocksize) { - ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR); - goto err; - } - tmp_len -= blocksize; - } else - /* - * last block gets whatever is left (this could be - * more or less than 'blocksize'!) - */ - wNAF_len[i] = tmp_len; - - wNAF[i + 1] = NULL; - wNAF[i] = OPENSSL_malloc(wNAF_len[i]); - if (wNAF[i] == NULL) { - ECerr(EC_F_EC_WNAF_MUL, ERR_R_MALLOC_FAILURE); - OPENSSL_free(tmp_wNAF); - goto err; - } - memcpy(wNAF[i], pp, wNAF_len[i]); - if (wNAF_len[i] > max_len) - max_len = wNAF_len[i]; - - if (*tmp_points == NULL) { - ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR); - OPENSSL_free(tmp_wNAF); - goto err; - } - val_sub[i] = tmp_points; - tmp_points += pre_points_per_block; - pp += blocksize; - } - OPENSSL_free(tmp_wNAF); - } - } - } - - /* - * All points we precompute now go into a single array 'val'. - * 'val_sub[i]' is a pointer to the subarray for the i-th point, or to a - * subarray of 'pre_comp->points' if we already have precomputation. - */ - val = OPENSSL_malloc((num_val + 1) * sizeof val[0]); - if (val == NULL) { - ECerr(EC_F_EC_WNAF_MUL, ERR_R_MALLOC_FAILURE); - goto err; - } - val[num_val] = NULL; /* pivot element */ - - /* allocate points for precomputation */ - v = val; - for (i = 0; i < num + num_scalar; i++) { - val_sub[i] = v; - for (j = 0; j < ((size_t)1 << (wsize[i] - 1)); j++) { - *v = EC_POINT_new(group); - if (*v == NULL) - goto err; - v++; - } - } - if (!(v == val + num_val)) { - ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR); - goto err; - } - - if (!(tmp = EC_POINT_new(group))) - goto err; - - /*- - * prepare precomputed values: - * val_sub[i][0] := points[i] - * val_sub[i][1] := 3 * points[i] - * val_sub[i][2] := 5 * points[i] - * ... - */ - for (i = 0; i < num + num_scalar; i++) { - if (i < num) { - if (!EC_POINT_copy(val_sub[i][0], points[i])) - goto err; - } else { - if (!EC_POINT_copy(val_sub[i][0], generator)) - goto err; - } - - if (wsize[i] > 1) { - if (!EC_POINT_dbl(group, tmp, val_sub[i][0], ctx)) - goto err; - for (j = 1; j < ((size_t)1 << (wsize[i] - 1)); j++) { - if (!EC_POINT_add - (group, val_sub[i][j], val_sub[i][j - 1], tmp, ctx)) - goto err; - } - } - } - -#if 1 /* optional; EC_window_bits_for_scalar_size - * assumes we do this step */ - if (!EC_POINTs_make_affine(group, num_val, val, ctx)) - goto err; -#endif - - r_is_at_infinity = 1; - - for (k = max_len - 1; k >= 0; k--) { - if (!r_is_at_infinity) { - if (!EC_POINT_dbl(group, r, r, ctx)) - goto err; - } - - for (i = 0; i < totalnum; i++) { - if (wNAF_len[i] > (size_t)k) { - int digit = wNAF[i][k]; - int is_neg; - - if (digit) { - is_neg = digit < 0; - - if (is_neg) - digit = -digit; - - if (is_neg != r_is_inverted) { - if (!r_is_at_infinity) { - if (!EC_POINT_invert(group, r, ctx)) - goto err; - } - r_is_inverted = !r_is_inverted; - } - - /* digit > 0 */ - - if (r_is_at_infinity) { - if (!EC_POINT_copy(r, val_sub[i][digit >> 1])) - goto err; - r_is_at_infinity = 0; - } else { - if (!EC_POINT_add - (group, r, r, val_sub[i][digit >> 1], ctx)) - goto err; - } - } - } - } - } - - if (r_is_at_infinity) { - if (!EC_POINT_set_to_infinity(group, r)) - goto err; - } else { - if (r_is_inverted) - if (!EC_POINT_invert(group, r, ctx)) - goto err; - } - - ret = 1; - - err: - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - if (tmp != NULL) - EC_POINT_free(tmp); - if (wsize != NULL) - OPENSSL_free(wsize); - if (wNAF_len != NULL) - OPENSSL_free(wNAF_len); - if (wNAF != NULL) { - signed char **w; - - for (w = wNAF; *w != NULL; w++) - OPENSSL_free(*w); - - OPENSSL_free(wNAF); - } - if (val != NULL) { - for (v = val; *v != NULL; v++) - EC_POINT_clear_free(*v); - - OPENSSL_free(val); - } - if (val_sub != NULL) { - OPENSSL_free(val_sub); - } - return ret; -} - -/*- - * ec_wNAF_precompute_mult() - * creates an EC_PRE_COMP object with preprecomputed multiples of the generator - * for use with wNAF splitting as implemented in ec_wNAF_mul(). - * - * 'pre_comp->points' is an array of multiples of the generator - * of the following form: - * points[0] = generator; - * points[1] = 3 * generator; - * ... - * points[2^(w-1)-1] = (2^(w-1)-1) * generator; - * points[2^(w-1)] = 2^blocksize * generator; - * points[2^(w-1)+1] = 3 * 2^blocksize * generator; - * ... - * points[2^(w-1)*(numblocks-1)-1] = (2^(w-1)) * 2^(blocksize*(numblocks-2)) * generator - * points[2^(w-1)*(numblocks-1)] = 2^(blocksize*(numblocks-1)) * generator - * ... - * points[2^(w-1)*numblocks-1] = (2^(w-1)) * 2^(blocksize*(numblocks-1)) * generator - * points[2^(w-1)*numblocks] = NULL - */ -int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *ctx) -{ - const EC_POINT *generator; - EC_POINT *tmp_point = NULL, *base = NULL, **var; - BN_CTX *new_ctx = NULL; - BIGNUM *order; - size_t i, bits, w, pre_points_per_block, blocksize, numblocks, num; - EC_POINT **points = NULL; - EC_PRE_COMP *pre_comp; - int ret = 0; - - /* if there is an old EC_PRE_COMP object, throw it away */ - EC_EX_DATA_free_data(&group->extra_data, ec_pre_comp_dup, - ec_pre_comp_free, ec_pre_comp_clear_free); - - if ((pre_comp = ec_pre_comp_new(group)) == NULL) - return 0; - - generator = EC_GROUP_get0_generator(group); - if (generator == NULL) { - ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, EC_R_UNDEFINED_GENERATOR); - goto err; - } - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - goto err; - } - - BN_CTX_start(ctx); - order = BN_CTX_get(ctx); - if (order == NULL) - goto err; - - if (!EC_GROUP_get_order(group, order, ctx)) - goto err; - if (BN_is_zero(order)) { - ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, EC_R_UNKNOWN_ORDER); - goto err; - } - - bits = BN_num_bits(order); - /* - * The following parameters mean we precompute (approximately) one point - * per bit. TBD: The combination 8, 4 is perfect for 160 bits; for other - * bit lengths, other parameter combinations might provide better - * efficiency. - */ - blocksize = 8; - w = 4; - if (EC_window_bits_for_scalar_size(bits) > w) { - /* let's not make the window too small ... */ - w = EC_window_bits_for_scalar_size(bits); - } - - numblocks = (bits + blocksize - 1) / blocksize; /* max. number of blocks - * to use for wNAF - * splitting */ - - pre_points_per_block = (size_t)1 << (w - 1); - num = pre_points_per_block * numblocks; /* number of points to compute - * and store */ - - points = OPENSSL_malloc(sizeof(EC_POINT *) * (num + 1)); - if (!points) { - ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, ERR_R_MALLOC_FAILURE); - goto err; - } - - var = points; - var[num] = NULL; /* pivot */ - for (i = 0; i < num; i++) { - if ((var[i] = EC_POINT_new(group)) == NULL) { - ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, ERR_R_MALLOC_FAILURE); - goto err; - } - } - - if (!(tmp_point = EC_POINT_new(group)) || !(base = EC_POINT_new(group))) { - ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, ERR_R_MALLOC_FAILURE); - goto err; - } - - if (!EC_POINT_copy(base, generator)) - goto err; - - /* do the precomputation */ - for (i = 0; i < numblocks; i++) { - size_t j; - - if (!EC_POINT_dbl(group, tmp_point, base, ctx)) - goto err; - - if (!EC_POINT_copy(*var++, base)) - goto err; - - for (j = 1; j < pre_points_per_block; j++, var++) { - /* - * calculate odd multiples of the current base point - */ - if (!EC_POINT_add(group, *var, tmp_point, *(var - 1), ctx)) - goto err; - } - - if (i < numblocks - 1) { - /* - * get the next base (multiply current one by 2^blocksize) - */ - size_t k; - - if (blocksize <= 2) { - ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, ERR_R_INTERNAL_ERROR); - goto err; - } - - if (!EC_POINT_dbl(group, base, tmp_point, ctx)) - goto err; - for (k = 2; k < blocksize; k++) { - if (!EC_POINT_dbl(group, base, base, ctx)) - goto err; - } - } - } - - if (!EC_POINTs_make_affine(group, num, points, ctx)) - goto err; - - pre_comp->group = group; - pre_comp->blocksize = blocksize; - pre_comp->numblocks = numblocks; - pre_comp->w = w; - pre_comp->points = points; - points = NULL; - pre_comp->num = num; - - if (!EC_EX_DATA_set_data(&group->extra_data, pre_comp, - ec_pre_comp_dup, ec_pre_comp_free, - ec_pre_comp_clear_free)) - goto err; - pre_comp = NULL; - - ret = 1; - err: - if (ctx != NULL) - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - if (pre_comp) - ec_pre_comp_free(pre_comp); - if (points) { - EC_POINT **p; - - for (p = points; *p != NULL; p++) - EC_POINT_free(*p); - OPENSSL_free(points); - } - if (tmp_point) - EC_POINT_free(tmp_point); - if (base) - EC_POINT_free(base); - return ret; -} - -int ec_wNAF_have_precompute_mult(const EC_GROUP *group) -{ - if (EC_EX_DATA_get_data - (group->extra_data, ec_pre_comp_dup, ec_pre_comp_free, - ec_pre_comp_clear_free) != NULL) - return 1; - else - return 0; -} diff --git a/thirdparty/openssl/crypto/ec/ec_oct.c b/thirdparty/openssl/crypto/ec/ec_oct.c deleted file mode 100644 index 040c414a33..0000000000 --- a/thirdparty/openssl/crypto/ec/ec_oct.c +++ /dev/null @@ -1,192 +0,0 @@ -/* crypto/ec/ec_lib.c */ -/* - * Originally written by Bodo Moeller for the OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2003 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * Binary polynomial ECC support in OpenSSL originally developed by - * SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project. - */ - -#include <string.h> - -#include <openssl/err.h> -#include <openssl/opensslv.h> - -#include "ec_lcl.h" - -int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, - EC_POINT *point, const BIGNUM *x, - int y_bit, BN_CTX *ctx) -{ - if (group->meth->point_set_compressed_coordinates == 0 - && !(group->meth->flags & EC_FLAGS_DEFAULT_OCT)) { - ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, - EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - if (group->meth->flags & EC_FLAGS_DEFAULT_OCT) { - if (group->meth->field_type == NID_X9_62_prime_field) - return ec_GFp_simple_set_compressed_coordinates(group, point, x, - y_bit, ctx); - else -#ifdef OPENSSL_NO_EC2M - { - ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, - EC_R_GF2M_NOT_SUPPORTED); - return 0; - } -#else - return ec_GF2m_simple_set_compressed_coordinates(group, point, x, - y_bit, ctx); -#endif - } - return group->meth->point_set_compressed_coordinates(group, point, x, - y_bit, ctx); -} - -#ifndef OPENSSL_NO_EC2M -int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, - EC_POINT *point, const BIGNUM *x, - int y_bit, BN_CTX *ctx) -{ - if (group->meth->point_set_compressed_coordinates == 0 - && !(group->meth->flags & EC_FLAGS_DEFAULT_OCT)) { - ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, - ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M, - EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - if (group->meth->flags & EC_FLAGS_DEFAULT_OCT) { - if (group->meth->field_type == NID_X9_62_prime_field) - return ec_GFp_simple_set_compressed_coordinates(group, point, x, - y_bit, ctx); - else - return ec_GF2m_simple_set_compressed_coordinates(group, point, x, - y_bit, ctx); - } - return group->meth->point_set_compressed_coordinates(group, point, x, - y_bit, ctx); -} -#endif - -size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point, - point_conversion_form_t form, unsigned char *buf, - size_t len, BN_CTX *ctx) -{ - if (group->meth->point2oct == 0 - && !(group->meth->flags & EC_FLAGS_DEFAULT_OCT)) { - ECerr(EC_F_EC_POINT_POINT2OCT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_POINT2OCT, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - if (group->meth->flags & EC_FLAGS_DEFAULT_OCT) { - if (group->meth->field_type == NID_X9_62_prime_field) - return ec_GFp_simple_point2oct(group, point, form, buf, len, ctx); - else -#ifdef OPENSSL_NO_EC2M - { - ECerr(EC_F_EC_POINT_POINT2OCT, EC_R_GF2M_NOT_SUPPORTED); - return 0; - } -#else - return ec_GF2m_simple_point2oct(group, point, - form, buf, len, ctx); -#endif - } - - return group->meth->point2oct(group, point, form, buf, len, ctx); -} - -int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point, - const unsigned char *buf, size_t len, BN_CTX *ctx) -{ - if (group->meth->oct2point == 0 - && !(group->meth->flags & EC_FLAGS_DEFAULT_OCT)) { - ECerr(EC_F_EC_POINT_OCT2POINT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED); - return 0; - } - if (group->meth != point->meth) { - ECerr(EC_F_EC_POINT_OCT2POINT, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - if (group->meth->flags & EC_FLAGS_DEFAULT_OCT) { - if (group->meth->field_type == NID_X9_62_prime_field) - return ec_GFp_simple_oct2point(group, point, buf, len, ctx); - else -#ifdef OPENSSL_NO_EC2M - { - ECerr(EC_F_EC_POINT_OCT2POINT, EC_R_GF2M_NOT_SUPPORTED); - return 0; - } -#else - return ec_GF2m_simple_oct2point(group, point, buf, len, ctx); -#endif - } - return group->meth->oct2point(group, point, buf, len, ctx); -} diff --git a/thirdparty/openssl/crypto/ec/ec_pmeth.c b/thirdparty/openssl/crypto/ec/ec_pmeth.c deleted file mode 100644 index b76749010c..0000000000 --- a/thirdparty/openssl/crypto/ec/ec_pmeth.c +++ /dev/null @@ -1,530 +0,0 @@ -/* - * Written by Dr Stephen N Henson (steve@openssl.org) for the OpenSSL project - * 2006. - */ -/* ==================================================================== - * Copyright (c) 2006 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * licensing@OpenSSL.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ - -#include <stdio.h> -#include "cryptlib.h" -#include <openssl/asn1t.h> -#include <openssl/x509.h> -#include <openssl/ec.h> -#include "ec_lcl.h" -#include <openssl/ecdsa.h> -#include <openssl/evp.h> -#include "evp_locl.h" - -/* EC pkey context structure */ - -typedef struct { - /* Key and paramgen group */ - EC_GROUP *gen_group; - /* message digest */ - const EVP_MD *md; - /* Duplicate key if custom cofactor needed */ - EC_KEY *co_key; - /* Cofactor mode */ - signed char cofactor_mode; - /* KDF (if any) to use for ECDH */ - char kdf_type; - /* Message digest to use for key derivation */ - const EVP_MD *kdf_md; - /* User key material */ - unsigned char *kdf_ukm; - size_t kdf_ukmlen; - /* KDF output length */ - size_t kdf_outlen; -} EC_PKEY_CTX; - -static int pkey_ec_init(EVP_PKEY_CTX *ctx) -{ - EC_PKEY_CTX *dctx; - dctx = OPENSSL_malloc(sizeof(EC_PKEY_CTX)); - if (!dctx) - return 0; - dctx->gen_group = NULL; - dctx->md = NULL; - - dctx->cofactor_mode = -1; - dctx->co_key = NULL; - dctx->kdf_type = EVP_PKEY_ECDH_KDF_NONE; - dctx->kdf_md = NULL; - dctx->kdf_outlen = 0; - dctx->kdf_ukm = NULL; - dctx->kdf_ukmlen = 0; - - ctx->data = dctx; - - return 1; -} - -static int pkey_ec_copy(EVP_PKEY_CTX *dst, EVP_PKEY_CTX *src) -{ - EC_PKEY_CTX *dctx, *sctx; - if (!pkey_ec_init(dst)) - return 0; - sctx = src->data; - dctx = dst->data; - if (sctx->gen_group) { - dctx->gen_group = EC_GROUP_dup(sctx->gen_group); - if (!dctx->gen_group) - return 0; - } - dctx->md = sctx->md; - - if (sctx->co_key) { - dctx->co_key = EC_KEY_dup(sctx->co_key); - if (!dctx->co_key) - return 0; - } - dctx->kdf_type = sctx->kdf_type; - dctx->kdf_md = sctx->kdf_md; - dctx->kdf_outlen = sctx->kdf_outlen; - if (sctx->kdf_ukm) { - dctx->kdf_ukm = BUF_memdup(sctx->kdf_ukm, sctx->kdf_ukmlen); - if (!dctx->kdf_ukm) - return 0; - } else - dctx->kdf_ukm = NULL; - dctx->kdf_ukmlen = sctx->kdf_ukmlen; - return 1; -} - -static void pkey_ec_cleanup(EVP_PKEY_CTX *ctx) -{ - EC_PKEY_CTX *dctx = ctx->data; - if (dctx) { - if (dctx->gen_group) - EC_GROUP_free(dctx->gen_group); - if (dctx->co_key) - EC_KEY_free(dctx->co_key); - if (dctx->kdf_ukm) - OPENSSL_free(dctx->kdf_ukm); - OPENSSL_free(dctx); - } -} - -static int pkey_ec_sign(EVP_PKEY_CTX *ctx, unsigned char *sig, size_t *siglen, - const unsigned char *tbs, size_t tbslen) -{ - int ret, type; - unsigned int sltmp; - EC_PKEY_CTX *dctx = ctx->data; - EC_KEY *ec = ctx->pkey->pkey.ec; - - if (!sig) { - *siglen = ECDSA_size(ec); - return 1; - } else if (*siglen < (size_t)ECDSA_size(ec)) { - ECerr(EC_F_PKEY_EC_SIGN, EC_R_BUFFER_TOO_SMALL); - return 0; - } - - if (dctx->md) - type = EVP_MD_type(dctx->md); - else - type = NID_sha1; - - ret = ECDSA_sign(type, tbs, tbslen, sig, &sltmp, ec); - - if (ret <= 0) - return ret; - *siglen = (size_t)sltmp; - return 1; -} - -static int pkey_ec_verify(EVP_PKEY_CTX *ctx, - const unsigned char *sig, size_t siglen, - const unsigned char *tbs, size_t tbslen) -{ - int ret, type; - EC_PKEY_CTX *dctx = ctx->data; - EC_KEY *ec = ctx->pkey->pkey.ec; - - if (dctx->md) - type = EVP_MD_type(dctx->md); - else - type = NID_sha1; - - ret = ECDSA_verify(type, tbs, tbslen, sig, siglen, ec); - - return ret; -} - -#ifndef OPENSSL_NO_ECDH -static int pkey_ec_derive(EVP_PKEY_CTX *ctx, unsigned char *key, - size_t *keylen) -{ - int ret; - size_t outlen; - const EC_POINT *pubkey = NULL; - EC_KEY *eckey; - EC_PKEY_CTX *dctx = ctx->data; - if (!ctx->pkey || !ctx->peerkey) { - ECerr(EC_F_PKEY_EC_DERIVE, EC_R_KEYS_NOT_SET); - return 0; - } - - eckey = dctx->co_key ? dctx->co_key : ctx->pkey->pkey.ec; - - if (!key) { - const EC_GROUP *group; - group = EC_KEY_get0_group(eckey); - *keylen = (EC_GROUP_get_degree(group) + 7) / 8; - return 1; - } - pubkey = EC_KEY_get0_public_key(ctx->peerkey->pkey.ec); - - /* - * NB: unlike PKCS#3 DH, if *outlen is less than maximum size this is not - * an error, the result is truncated. - */ - - outlen = *keylen; - - ret = ECDH_compute_key(key, outlen, pubkey, eckey, 0); - if (ret <= 0) - return 0; - *keylen = ret; - return 1; -} - -static int pkey_ec_kdf_derive(EVP_PKEY_CTX *ctx, - unsigned char *key, size_t *keylen) -{ - EC_PKEY_CTX *dctx = ctx->data; - unsigned char *ktmp = NULL; - size_t ktmplen; - int rv = 0; - if (dctx->kdf_type == EVP_PKEY_ECDH_KDF_NONE) - return pkey_ec_derive(ctx, key, keylen); - if (!key) { - *keylen = dctx->kdf_outlen; - return 1; - } - if (*keylen != dctx->kdf_outlen) - return 0; - if (!pkey_ec_derive(ctx, NULL, &ktmplen)) - return 0; - ktmp = OPENSSL_malloc(ktmplen); - if (!ktmp) - return 0; - if (!pkey_ec_derive(ctx, ktmp, &ktmplen)) - goto err; - /* Do KDF stuff */ - if (!ECDH_KDF_X9_62(key, *keylen, ktmp, ktmplen, - dctx->kdf_ukm, dctx->kdf_ukmlen, dctx->kdf_md)) - goto err; - rv = 1; - - err: - if (ktmp) { - OPENSSL_cleanse(ktmp, ktmplen); - OPENSSL_free(ktmp); - } - return rv; -} -#endif - -static int pkey_ec_ctrl(EVP_PKEY_CTX *ctx, int type, int p1, void *p2) -{ - EC_PKEY_CTX *dctx = ctx->data; - EC_GROUP *group; - switch (type) { - case EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID: - group = EC_GROUP_new_by_curve_name(p1); - if (group == NULL) { - ECerr(EC_F_PKEY_EC_CTRL, EC_R_INVALID_CURVE); - return 0; - } - if (dctx->gen_group) - EC_GROUP_free(dctx->gen_group); - dctx->gen_group = group; - return 1; - - case EVP_PKEY_CTRL_EC_PARAM_ENC: - if (!dctx->gen_group) { - ECerr(EC_F_PKEY_EC_CTRL, EC_R_NO_PARAMETERS_SET); - return 0; - } - EC_GROUP_set_asn1_flag(dctx->gen_group, p1); - return 1; - -#ifndef OPENSSL_NO_ECDH - case EVP_PKEY_CTRL_EC_ECDH_COFACTOR: - if (p1 == -2) { - if (dctx->cofactor_mode != -1) - return dctx->cofactor_mode; - else { - EC_KEY *ec_key = ctx->pkey->pkey.ec; - return EC_KEY_get_flags(ec_key) & EC_FLAG_COFACTOR_ECDH ? 1 : - 0; - } - } else if (p1 < -1 || p1 > 1) - return -2; - dctx->cofactor_mode = p1; - if (p1 != -1) { - EC_KEY *ec_key = ctx->pkey->pkey.ec; - if (!ec_key->group) - return -2; - /* If cofactor is 1 cofactor mode does nothing */ - if (BN_is_one(&ec_key->group->cofactor)) - return 1; - if (!dctx->co_key) { - dctx->co_key = EC_KEY_dup(ec_key); - if (!dctx->co_key) - return 0; - } - if (p1) - EC_KEY_set_flags(dctx->co_key, EC_FLAG_COFACTOR_ECDH); - else - EC_KEY_clear_flags(dctx->co_key, EC_FLAG_COFACTOR_ECDH); - } else if (dctx->co_key) { - EC_KEY_free(dctx->co_key); - dctx->co_key = NULL; - } - return 1; -#endif - - case EVP_PKEY_CTRL_EC_KDF_TYPE: - if (p1 == -2) - return dctx->kdf_type; - if (p1 != EVP_PKEY_ECDH_KDF_NONE && p1 != EVP_PKEY_ECDH_KDF_X9_62) - return -2; - dctx->kdf_type = p1; - return 1; - - case EVP_PKEY_CTRL_EC_KDF_MD: - dctx->kdf_md = p2; - return 1; - - case EVP_PKEY_CTRL_GET_EC_KDF_MD: - *(const EVP_MD **)p2 = dctx->kdf_md; - return 1; - - case EVP_PKEY_CTRL_EC_KDF_OUTLEN: - if (p1 <= 0) - return -2; - dctx->kdf_outlen = (size_t)p1; - return 1; - - case EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN: - *(int *)p2 = dctx->kdf_outlen; - return 1; - - case EVP_PKEY_CTRL_EC_KDF_UKM: - if (dctx->kdf_ukm) - OPENSSL_free(dctx->kdf_ukm); - dctx->kdf_ukm = p2; - if (p2) - dctx->kdf_ukmlen = p1; - else - dctx->kdf_ukmlen = 0; - return 1; - - case EVP_PKEY_CTRL_GET_EC_KDF_UKM: - *(unsigned char **)p2 = dctx->kdf_ukm; - return dctx->kdf_ukmlen; - - case EVP_PKEY_CTRL_MD: - if (EVP_MD_type((const EVP_MD *)p2) != NID_sha1 && - EVP_MD_type((const EVP_MD *)p2) != NID_ecdsa_with_SHA1 && - EVP_MD_type((const EVP_MD *)p2) != NID_sha224 && - EVP_MD_type((const EVP_MD *)p2) != NID_sha256 && - EVP_MD_type((const EVP_MD *)p2) != NID_sha384 && - EVP_MD_type((const EVP_MD *)p2) != NID_sha512) { - ECerr(EC_F_PKEY_EC_CTRL, EC_R_INVALID_DIGEST_TYPE); - return 0; - } - dctx->md = p2; - return 1; - - case EVP_PKEY_CTRL_GET_MD: - *(const EVP_MD **)p2 = dctx->md; - return 1; - - case EVP_PKEY_CTRL_PEER_KEY: - /* Default behaviour is OK */ - case EVP_PKEY_CTRL_DIGESTINIT: - case EVP_PKEY_CTRL_PKCS7_SIGN: - case EVP_PKEY_CTRL_CMS_SIGN: - return 1; - - default: - return -2; - - } -} - -static int pkey_ec_ctrl_str(EVP_PKEY_CTX *ctx, - const char *type, const char *value) -{ - if (!strcmp(type, "ec_paramgen_curve")) { - int nid; - nid = EC_curve_nist2nid(value); - if (nid == NID_undef) - nid = OBJ_sn2nid(value); - if (nid == NID_undef) - nid = OBJ_ln2nid(value); - if (nid == NID_undef) { - ECerr(EC_F_PKEY_EC_CTRL_STR, EC_R_INVALID_CURVE); - return 0; - } - return EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid); - } else if (!strcmp(type, "ec_param_enc")) { - int param_enc; - if (!strcmp(value, "explicit")) - param_enc = 0; - else if (!strcmp(value, "named_curve")) - param_enc = OPENSSL_EC_NAMED_CURVE; - else - return -2; - return EVP_PKEY_CTX_set_ec_param_enc(ctx, param_enc); - } else if (!strcmp(type, "ecdh_kdf_md")) { - const EVP_MD *md; - if (!(md = EVP_get_digestbyname(value))) { - ECerr(EC_F_PKEY_EC_CTRL_STR, EC_R_INVALID_DIGEST); - return 0; - } - return EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md); - } else if (!strcmp(type, "ecdh_cofactor_mode")) { - int co_mode; - co_mode = atoi(value); - return EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, co_mode); - } - - return -2; -} - -static int pkey_ec_paramgen(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey) -{ - EC_KEY *ec = NULL; - EC_PKEY_CTX *dctx = ctx->data; - int ret = 0; - if (dctx->gen_group == NULL) { - ECerr(EC_F_PKEY_EC_PARAMGEN, EC_R_NO_PARAMETERS_SET); - return 0; - } - ec = EC_KEY_new(); - if (!ec) - return 0; - ret = EC_KEY_set_group(ec, dctx->gen_group); - if (ret) - EVP_PKEY_assign_EC_KEY(pkey, ec); - else - EC_KEY_free(ec); - return ret; -} - -static int pkey_ec_keygen(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey) -{ - EC_KEY *ec = NULL; - EC_PKEY_CTX *dctx = ctx->data; - if (ctx->pkey == NULL && dctx->gen_group == NULL) { - ECerr(EC_F_PKEY_EC_KEYGEN, EC_R_NO_PARAMETERS_SET); - return 0; - } - ec = EC_KEY_new(); - if (!ec) - return 0; - EVP_PKEY_assign_EC_KEY(pkey, ec); - if (ctx->pkey) { - /* Note: if error return, pkey is freed by parent routine */ - if (!EVP_PKEY_copy_parameters(pkey, ctx->pkey)) - return 0; - } else { - if (!EC_KEY_set_group(ec, dctx->gen_group)) - return 0; - } - return EC_KEY_generate_key(pkey->pkey.ec); -} - -const EVP_PKEY_METHOD ec_pkey_meth = { - EVP_PKEY_EC, - 0, - pkey_ec_init, - pkey_ec_copy, - pkey_ec_cleanup, - - 0, - pkey_ec_paramgen, - - 0, - pkey_ec_keygen, - - 0, - pkey_ec_sign, - - 0, - pkey_ec_verify, - - 0, 0, - - 0, 0, 0, 0, - - 0, 0, - - 0, 0, - - 0, -#ifndef OPENSSL_NO_ECDH - pkey_ec_kdf_derive, -#else - 0, -#endif - - pkey_ec_ctrl, - pkey_ec_ctrl_str -}; diff --git a/thirdparty/openssl/crypto/ec/ec_print.c b/thirdparty/openssl/crypto/ec/ec_print.c deleted file mode 100644 index 96b294d877..0000000000 --- a/thirdparty/openssl/crypto/ec/ec_print.c +++ /dev/null @@ -1,179 +0,0 @@ -/* crypto/ec/ec_print.c */ -/* ==================================================================== - * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ - -#include <openssl/crypto.h> -#include "ec_lcl.h" - -BIGNUM *EC_POINT_point2bn(const EC_GROUP *group, - const EC_POINT *point, - point_conversion_form_t form, - BIGNUM *ret, BN_CTX *ctx) -{ - size_t buf_len = 0; - unsigned char *buf; - - buf_len = EC_POINT_point2oct(group, point, form, NULL, 0, ctx); - if (buf_len == 0) - return NULL; - - if ((buf = OPENSSL_malloc(buf_len)) == NULL) - return NULL; - - if (!EC_POINT_point2oct(group, point, form, buf, buf_len, ctx)) { - OPENSSL_free(buf); - return NULL; - } - - ret = BN_bin2bn(buf, buf_len, ret); - - OPENSSL_free(buf); - - return ret; -} - -EC_POINT *EC_POINT_bn2point(const EC_GROUP *group, - const BIGNUM *bn, EC_POINT *point, BN_CTX *ctx) -{ - size_t buf_len = 0; - unsigned char *buf; - EC_POINT *ret; - - if ((buf_len = BN_num_bytes(bn)) == 0) - return NULL; - buf = OPENSSL_malloc(buf_len); - if (buf == NULL) - return NULL; - - if (!BN_bn2bin(bn, buf)) { - OPENSSL_free(buf); - return NULL; - } - - if (point == NULL) { - if ((ret = EC_POINT_new(group)) == NULL) { - OPENSSL_free(buf); - return NULL; - } - } else - ret = point; - - if (!EC_POINT_oct2point(group, ret, buf, buf_len, ctx)) { - if (point == NULL) - EC_POINT_clear_free(ret); - OPENSSL_free(buf); - return NULL; - } - - OPENSSL_free(buf); - return ret; -} - -static const char *HEX_DIGITS = "0123456789ABCDEF"; - -/* the return value must be freed (using OPENSSL_free()) */ -char *EC_POINT_point2hex(const EC_GROUP *group, - const EC_POINT *point, - point_conversion_form_t form, BN_CTX *ctx) -{ - char *ret, *p; - size_t buf_len = 0, i; - unsigned char *buf, *pbuf; - - buf_len = EC_POINT_point2oct(group, point, form, NULL, 0, ctx); - if (buf_len == 0) - return NULL; - - if ((buf = OPENSSL_malloc(buf_len)) == NULL) - return NULL; - - if (!EC_POINT_point2oct(group, point, form, buf, buf_len, ctx)) { - OPENSSL_free(buf); - return NULL; - } - - ret = (char *)OPENSSL_malloc(buf_len * 2 + 2); - if (ret == NULL) { - OPENSSL_free(buf); - return NULL; - } - p = ret; - pbuf = buf; - for (i = buf_len; i > 0; i--) { - int v = (int)*(pbuf++); - *(p++) = HEX_DIGITS[v >> 4]; - *(p++) = HEX_DIGITS[v & 0x0F]; - } - *p = '\0'; - - OPENSSL_free(buf); - - return ret; -} - -EC_POINT *EC_POINT_hex2point(const EC_GROUP *group, - const char *buf, EC_POINT *point, BN_CTX *ctx) -{ - EC_POINT *ret = NULL; - BIGNUM *tmp_bn = NULL; - - if (!BN_hex2bn(&tmp_bn, buf)) - return NULL; - - ret = EC_POINT_bn2point(group, tmp_bn, point, ctx); - - BN_clear_free(tmp_bn); - - return ret; -} diff --git a/thirdparty/openssl/crypto/ec/eck_prn.c b/thirdparty/openssl/crypto/ec/eck_prn.c deleted file mode 100644 index 176ec1f173..0000000000 --- a/thirdparty/openssl/crypto/ec/eck_prn.c +++ /dev/null @@ -1,377 +0,0 @@ -/* crypto/ec/eck_prn.c */ -/* - * Written by Nils Larsch for the OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * Portions originally developed by SUN MICROSYSTEMS, INC., and - * contributed to the OpenSSL project. - */ - -#include <stdio.h> -#include "cryptlib.h" -#include <openssl/evp.h> -#include <openssl/ec.h> -#include <openssl/bn.h> - -#ifndef OPENSSL_NO_FP_API -int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off) -{ - BIO *b; - int ret; - - if ((b = BIO_new(BIO_s_file())) == NULL) { - ECerr(EC_F_ECPKPARAMETERS_PRINT_FP, ERR_R_BUF_LIB); - return (0); - } - BIO_set_fp(b, fp, BIO_NOCLOSE); - ret = ECPKParameters_print(b, x, off); - BIO_free(b); - return (ret); -} - -int EC_KEY_print_fp(FILE *fp, const EC_KEY *x, int off) -{ - BIO *b; - int ret; - - if ((b = BIO_new(BIO_s_file())) == NULL) { - ECerr(EC_F_EC_KEY_PRINT_FP, ERR_R_BIO_LIB); - return (0); - } - BIO_set_fp(b, fp, BIO_NOCLOSE); - ret = EC_KEY_print(b, x, off); - BIO_free(b); - return (ret); -} - -int ECParameters_print_fp(FILE *fp, const EC_KEY *x) -{ - BIO *b; - int ret; - - if ((b = BIO_new(BIO_s_file())) == NULL) { - ECerr(EC_F_ECPARAMETERS_PRINT_FP, ERR_R_BIO_LIB); - return (0); - } - BIO_set_fp(b, fp, BIO_NOCLOSE); - ret = ECParameters_print(b, x); - BIO_free(b); - return (ret); -} -#endif - -int EC_KEY_print(BIO *bp, const EC_KEY *x, int off) -{ - EVP_PKEY *pk; - int ret; - pk = EVP_PKEY_new(); - if (!pk || !EVP_PKEY_set1_EC_KEY(pk, (EC_KEY *)x)) - return 0; - ret = EVP_PKEY_print_private(bp, pk, off, NULL); - EVP_PKEY_free(pk); - return ret; -} - -int ECParameters_print(BIO *bp, const EC_KEY *x) -{ - EVP_PKEY *pk; - int ret; - pk = EVP_PKEY_new(); - if (!pk || !EVP_PKEY_set1_EC_KEY(pk, (EC_KEY *)x)) - return 0; - ret = EVP_PKEY_print_params(bp, pk, 4, NULL); - EVP_PKEY_free(pk); - return ret; -} - -static int print_bin(BIO *fp, const char *str, const unsigned char *num, - size_t len, int off); - -int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off) -{ - unsigned char *buffer = NULL; - size_t buf_len = 0, i; - int ret = 0, reason = ERR_R_BIO_LIB; - BN_CTX *ctx = NULL; - const EC_POINT *point = NULL; - BIGNUM *p = NULL, *a = NULL, *b = NULL, *gen = NULL, - *order = NULL, *cofactor = NULL; - const unsigned char *seed; - size_t seed_len = 0; - - static const char *gen_compressed = "Generator (compressed):"; - static const char *gen_uncompressed = "Generator (uncompressed):"; - static const char *gen_hybrid = "Generator (hybrid):"; - - if (!x) { - reason = ERR_R_PASSED_NULL_PARAMETER; - goto err; - } - - ctx = BN_CTX_new(); - if (ctx == NULL) { - reason = ERR_R_MALLOC_FAILURE; - goto err; - } - - if (EC_GROUP_get_asn1_flag(x)) { - /* the curve parameter are given by an asn1 OID */ - int nid; - const char *nname; - - if (!BIO_indent(bp, off, 128)) - goto err; - - nid = EC_GROUP_get_curve_name(x); - if (nid == 0) - goto err; - - if (BIO_printf(bp, "ASN1 OID: %s", OBJ_nid2sn(nid)) <= 0) - goto err; - if (BIO_printf(bp, "\n") <= 0) - goto err; - nname = EC_curve_nid2nist(nid); - if (nname) { - if (!BIO_indent(bp, off, 128)) - goto err; - if (BIO_printf(bp, "NIST CURVE: %s\n", nname) <= 0) - goto err; - } - } else { - /* explicit parameters */ - int is_char_two = 0; - point_conversion_form_t form; - int tmp_nid = EC_METHOD_get_field_type(EC_GROUP_method_of(x)); - - if (tmp_nid == NID_X9_62_characteristic_two_field) - is_char_two = 1; - - if ((p = BN_new()) == NULL || (a = BN_new()) == NULL || - (b = BN_new()) == NULL || (order = BN_new()) == NULL || - (cofactor = BN_new()) == NULL) { - reason = ERR_R_MALLOC_FAILURE; - goto err; - } -#ifndef OPENSSL_NO_EC2M - if (is_char_two) { - if (!EC_GROUP_get_curve_GF2m(x, p, a, b, ctx)) { - reason = ERR_R_EC_LIB; - goto err; - } - } else /* prime field */ -#endif - { - if (!EC_GROUP_get_curve_GFp(x, p, a, b, ctx)) { - reason = ERR_R_EC_LIB; - goto err; - } - } - - if ((point = EC_GROUP_get0_generator(x)) == NULL) { - reason = ERR_R_EC_LIB; - goto err; - } - if (!EC_GROUP_get_order(x, order, NULL) || - !EC_GROUP_get_cofactor(x, cofactor, NULL)) { - reason = ERR_R_EC_LIB; - goto err; - } - - form = EC_GROUP_get_point_conversion_form(x); - - if ((gen = EC_POINT_point2bn(x, point, form, NULL, ctx)) == NULL) { - reason = ERR_R_EC_LIB; - goto err; - } - - buf_len = (size_t)BN_num_bytes(p); - if (buf_len < (i = (size_t)BN_num_bytes(a))) - buf_len = i; - if (buf_len < (i = (size_t)BN_num_bytes(b))) - buf_len = i; - if (buf_len < (i = (size_t)BN_num_bytes(gen))) - buf_len = i; - if (buf_len < (i = (size_t)BN_num_bytes(order))) - buf_len = i; - if (buf_len < (i = (size_t)BN_num_bytes(cofactor))) - buf_len = i; - - if ((seed = EC_GROUP_get0_seed(x)) != NULL) - seed_len = EC_GROUP_get_seed_len(x); - - buf_len += 10; - if ((buffer = OPENSSL_malloc(buf_len)) == NULL) { - reason = ERR_R_MALLOC_FAILURE; - goto err; - } - - if (!BIO_indent(bp, off, 128)) - goto err; - - /* print the 'short name' of the field type */ - if (BIO_printf(bp, "Field Type: %s\n", OBJ_nid2sn(tmp_nid)) - <= 0) - goto err; - - if (is_char_two) { - /* print the 'short name' of the base type OID */ - int basis_type = EC_GROUP_get_basis_type(x); - if (basis_type == 0) - goto err; - - if (!BIO_indent(bp, off, 128)) - goto err; - - if (BIO_printf(bp, "Basis Type: %s\n", - OBJ_nid2sn(basis_type)) <= 0) - goto err; - - /* print the polynomial */ - if ((p != NULL) && !ASN1_bn_print(bp, "Polynomial:", p, buffer, - off)) - goto err; - } else { - if ((p != NULL) && !ASN1_bn_print(bp, "Prime:", p, buffer, off)) - goto err; - } - if ((a != NULL) && !ASN1_bn_print(bp, "A: ", a, buffer, off)) - goto err; - if ((b != NULL) && !ASN1_bn_print(bp, "B: ", b, buffer, off)) - goto err; - if (form == POINT_CONVERSION_COMPRESSED) { - if ((gen != NULL) && !ASN1_bn_print(bp, gen_compressed, gen, - buffer, off)) - goto err; - } else if (form == POINT_CONVERSION_UNCOMPRESSED) { - if ((gen != NULL) && !ASN1_bn_print(bp, gen_uncompressed, gen, - buffer, off)) - goto err; - } else { /* form == POINT_CONVERSION_HYBRID */ - - if ((gen != NULL) && !ASN1_bn_print(bp, gen_hybrid, gen, - buffer, off)) - goto err; - } - if ((order != NULL) && !ASN1_bn_print(bp, "Order: ", order, - buffer, off)) - goto err; - if ((cofactor != NULL) && !ASN1_bn_print(bp, "Cofactor: ", cofactor, - buffer, off)) - goto err; - if (seed && !print_bin(bp, "Seed:", seed, seed_len, off)) - goto err; - } - ret = 1; - err: - if (!ret) - ECerr(EC_F_ECPKPARAMETERS_PRINT, reason); - if (p) - BN_free(p); - if (a) - BN_free(a); - if (b) - BN_free(b); - if (gen) - BN_free(gen); - if (order) - BN_free(order); - if (cofactor) - BN_free(cofactor); - if (ctx) - BN_CTX_free(ctx); - if (buffer != NULL) - OPENSSL_free(buffer); - return (ret); -} - -static int print_bin(BIO *fp, const char *name, const unsigned char *buf, - size_t len, int off) -{ - size_t i; - char str[128 + 1 + 4]; - - if (buf == NULL) - return 1; - if (off > 0) { - if (off > 128) - off = 128; - memset(str, ' ', off); - if (BIO_write(fp, str, off) <= 0) - return 0; - } else { - off = 0; - } - - if (BIO_printf(fp, "%s", name) <= 0) - return 0; - - for (i = 0; i < len; i++) { - if ((i % 15) == 0) { - str[0] = '\n'; - memset(&(str[1]), ' ', off + 4); - if (BIO_write(fp, str, off + 1 + 4) <= 0) - return 0; - } - if (BIO_printf(fp, "%02x%s", buf[i], ((i + 1) == len) ? "" : ":") <= - 0) - return 0; - } - if (BIO_write(fp, "\n", 1) <= 0) - return 0; - - return 1; -} diff --git a/thirdparty/openssl/crypto/ec/ecp_mont.c b/thirdparty/openssl/crypto/ec/ecp_mont.c deleted file mode 100644 index b2de7faea7..0000000000 --- a/thirdparty/openssl/crypto/ec/ecp_mont.c +++ /dev/null @@ -1,308 +0,0 @@ -/* crypto/ec/ecp_mont.c */ -/* - * Originally written by Bodo Moeller for the OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * Portions of this software developed by SUN MICROSYSTEMS, INC., - * and contributed to the OpenSSL project. - */ - -#include <openssl/err.h> - -#ifdef OPENSSL_FIPS -# include <openssl/fips.h> -#endif - -#include "ec_lcl.h" - -const EC_METHOD *EC_GFp_mont_method(void) -{ - static const EC_METHOD ret = { - EC_FLAGS_DEFAULT_OCT, - NID_X9_62_prime_field, - ec_GFp_mont_group_init, - ec_GFp_mont_group_finish, - ec_GFp_mont_group_clear_finish, - ec_GFp_mont_group_copy, - ec_GFp_mont_group_set_curve, - ec_GFp_simple_group_get_curve, - ec_GFp_simple_group_get_degree, - ec_GFp_simple_group_check_discriminant, - ec_GFp_simple_point_init, - ec_GFp_simple_point_finish, - ec_GFp_simple_point_clear_finish, - ec_GFp_simple_point_copy, - ec_GFp_simple_point_set_to_infinity, - ec_GFp_simple_set_Jprojective_coordinates_GFp, - ec_GFp_simple_get_Jprojective_coordinates_GFp, - ec_GFp_simple_point_set_affine_coordinates, - ec_GFp_simple_point_get_affine_coordinates, - 0, 0, 0, - ec_GFp_simple_add, - ec_GFp_simple_dbl, - ec_GFp_simple_invert, - ec_GFp_simple_is_at_infinity, - ec_GFp_simple_is_on_curve, - ec_GFp_simple_cmp, - ec_GFp_simple_make_affine, - ec_GFp_simple_points_make_affine, - 0 /* mul */ , - 0 /* precompute_mult */ , - 0 /* have_precompute_mult */ , - ec_GFp_mont_field_mul, - ec_GFp_mont_field_sqr, - 0 /* field_div */ , - ec_GFp_mont_field_encode, - ec_GFp_mont_field_decode, - ec_GFp_mont_field_set_to_one - }; - -#ifdef OPENSSL_FIPS - if (FIPS_mode()) - return fips_ec_gfp_mont_method(); -#endif - - return &ret; -} - -int ec_GFp_mont_group_init(EC_GROUP *group) -{ - int ok; - - ok = ec_GFp_simple_group_init(group); - group->field_data1 = NULL; - group->field_data2 = NULL; - return ok; -} - -void ec_GFp_mont_group_finish(EC_GROUP *group) -{ - if (group->field_data1 != NULL) { - BN_MONT_CTX_free(group->field_data1); - group->field_data1 = NULL; - } - if (group->field_data2 != NULL) { - BN_free(group->field_data2); - group->field_data2 = NULL; - } - ec_GFp_simple_group_finish(group); -} - -void ec_GFp_mont_group_clear_finish(EC_GROUP *group) -{ - if (group->field_data1 != NULL) { - BN_MONT_CTX_free(group->field_data1); - group->field_data1 = NULL; - } - if (group->field_data2 != NULL) { - BN_clear_free(group->field_data2); - group->field_data2 = NULL; - } - ec_GFp_simple_group_clear_finish(group); -} - -int ec_GFp_mont_group_copy(EC_GROUP *dest, const EC_GROUP *src) -{ - if (dest->field_data1 != NULL) { - BN_MONT_CTX_free(dest->field_data1); - dest->field_data1 = NULL; - } - if (dest->field_data2 != NULL) { - BN_clear_free(dest->field_data2); - dest->field_data2 = NULL; - } - - if (!ec_GFp_simple_group_copy(dest, src)) - return 0; - - if (src->field_data1 != NULL) { - dest->field_data1 = BN_MONT_CTX_new(); - if (dest->field_data1 == NULL) - return 0; - if (!BN_MONT_CTX_copy(dest->field_data1, src->field_data1)) - goto err; - } - if (src->field_data2 != NULL) { - dest->field_data2 = BN_dup(src->field_data2); - if (dest->field_data2 == NULL) - goto err; - } - - return 1; - - err: - if (dest->field_data1 != NULL) { - BN_MONT_CTX_free(dest->field_data1); - dest->field_data1 = NULL; - } - return 0; -} - -int ec_GFp_mont_group_set_curve(EC_GROUP *group, const BIGNUM *p, - const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) -{ - BN_CTX *new_ctx = NULL; - BN_MONT_CTX *mont = NULL; - BIGNUM *one = NULL; - int ret = 0; - - if (group->field_data1 != NULL) { - BN_MONT_CTX_free(group->field_data1); - group->field_data1 = NULL; - } - if (group->field_data2 != NULL) { - BN_free(group->field_data2); - group->field_data2 = NULL; - } - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - mont = BN_MONT_CTX_new(); - if (mont == NULL) - goto err; - if (!BN_MONT_CTX_set(mont, p, ctx)) { - ECerr(EC_F_EC_GFP_MONT_GROUP_SET_CURVE, ERR_R_BN_LIB); - goto err; - } - one = BN_new(); - if (one == NULL) - goto err; - if (!BN_to_montgomery(one, BN_value_one(), mont, ctx)) - goto err; - - group->field_data1 = mont; - mont = NULL; - group->field_data2 = one; - one = NULL; - - ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx); - - if (!ret) { - BN_MONT_CTX_free(group->field_data1); - group->field_data1 = NULL; - BN_free(group->field_data2); - group->field_data2 = NULL; - } - - err: - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - if (mont != NULL) - BN_MONT_CTX_free(mont); - return ret; -} - -int ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, - const BIGNUM *b, BN_CTX *ctx) -{ - if (group->field_data1 == NULL) { - ECerr(EC_F_EC_GFP_MONT_FIELD_MUL, EC_R_NOT_INITIALIZED); - return 0; - } - - return BN_mod_mul_montgomery(r, a, b, group->field_data1, ctx); -} - -int ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, - BN_CTX *ctx) -{ - if (group->field_data1 == NULL) { - ECerr(EC_F_EC_GFP_MONT_FIELD_SQR, EC_R_NOT_INITIALIZED); - return 0; - } - - return BN_mod_mul_montgomery(r, a, a, group->field_data1, ctx); -} - -int ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r, - const BIGNUM *a, BN_CTX *ctx) -{ - if (group->field_data1 == NULL) { - ECerr(EC_F_EC_GFP_MONT_FIELD_ENCODE, EC_R_NOT_INITIALIZED); - return 0; - } - - return BN_to_montgomery(r, a, (BN_MONT_CTX *)group->field_data1, ctx); -} - -int ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r, - const BIGNUM *a, BN_CTX *ctx) -{ - if (group->field_data1 == NULL) { - ECerr(EC_F_EC_GFP_MONT_FIELD_DECODE, EC_R_NOT_INITIALIZED); - return 0; - } - - return BN_from_montgomery(r, a, group->field_data1, ctx); -} - -int ec_GFp_mont_field_set_to_one(const EC_GROUP *group, BIGNUM *r, - BN_CTX *ctx) -{ - if (group->field_data2 == NULL) { - ECerr(EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE, EC_R_NOT_INITIALIZED); - return 0; - } - - if (!BN_copy(r, group->field_data2)) - return 0; - return 1; -} diff --git a/thirdparty/openssl/crypto/ec/ecp_nist.c b/thirdparty/openssl/crypto/ec/ecp_nist.c deleted file mode 100644 index 3944e24935..0000000000 --- a/thirdparty/openssl/crypto/ec/ecp_nist.c +++ /dev/null @@ -1,220 +0,0 @@ -/* crypto/ec/ecp_nist.c */ -/* - * Written by Nils Larsch for the OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2003 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * Portions of this software developed by SUN MICROSYSTEMS, INC., - * and contributed to the OpenSSL project. - */ - -#include <limits.h> - -#include <openssl/err.h> -#include <openssl/obj_mac.h> -#include "ec_lcl.h" - -#ifdef OPENSSL_FIPS -# include <openssl/fips.h> -#endif - -const EC_METHOD *EC_GFp_nist_method(void) -{ - static const EC_METHOD ret = { - EC_FLAGS_DEFAULT_OCT, - NID_X9_62_prime_field, - ec_GFp_simple_group_init, - ec_GFp_simple_group_finish, - ec_GFp_simple_group_clear_finish, - ec_GFp_nist_group_copy, - ec_GFp_nist_group_set_curve, - ec_GFp_simple_group_get_curve, - ec_GFp_simple_group_get_degree, - ec_GFp_simple_group_check_discriminant, - ec_GFp_simple_point_init, - ec_GFp_simple_point_finish, - ec_GFp_simple_point_clear_finish, - ec_GFp_simple_point_copy, - ec_GFp_simple_point_set_to_infinity, - ec_GFp_simple_set_Jprojective_coordinates_GFp, - ec_GFp_simple_get_Jprojective_coordinates_GFp, - ec_GFp_simple_point_set_affine_coordinates, - ec_GFp_simple_point_get_affine_coordinates, - 0, 0, 0, - ec_GFp_simple_add, - ec_GFp_simple_dbl, - ec_GFp_simple_invert, - ec_GFp_simple_is_at_infinity, - ec_GFp_simple_is_on_curve, - ec_GFp_simple_cmp, - ec_GFp_simple_make_affine, - ec_GFp_simple_points_make_affine, - 0 /* mul */ , - 0 /* precompute_mult */ , - 0 /* have_precompute_mult */ , - ec_GFp_nist_field_mul, - ec_GFp_nist_field_sqr, - 0 /* field_div */ , - 0 /* field_encode */ , - 0 /* field_decode */ , - 0 /* field_set_to_one */ - }; - -#ifdef OPENSSL_FIPS - if (FIPS_mode()) - return fips_ec_gfp_nist_method(); -#endif - - return &ret; -} - -int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src) -{ - dest->field_mod_func = src->field_mod_func; - - return ec_GFp_simple_group_copy(dest, src); -} - -int ec_GFp_nist_group_set_curve(EC_GROUP *group, const BIGNUM *p, - const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) -{ - int ret = 0; - BN_CTX *new_ctx = NULL; - BIGNUM *tmp_bn; - - if (ctx == NULL) - if ((ctx = new_ctx = BN_CTX_new()) == NULL) - return 0; - - BN_CTX_start(ctx); - if ((tmp_bn = BN_CTX_get(ctx)) == NULL) - goto err; - - if (BN_ucmp(BN_get0_nist_prime_192(), p) == 0) - group->field_mod_func = BN_nist_mod_192; - else if (BN_ucmp(BN_get0_nist_prime_224(), p) == 0) - group->field_mod_func = BN_nist_mod_224; - else if (BN_ucmp(BN_get0_nist_prime_256(), p) == 0) - group->field_mod_func = BN_nist_mod_256; - else if (BN_ucmp(BN_get0_nist_prime_384(), p) == 0) - group->field_mod_func = BN_nist_mod_384; - else if (BN_ucmp(BN_get0_nist_prime_521(), p) == 0) - group->field_mod_func = BN_nist_mod_521; - else { - ECerr(EC_F_EC_GFP_NIST_GROUP_SET_CURVE, EC_R_NOT_A_NIST_PRIME); - goto err; - } - - ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx); - - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -int ec_GFp_nist_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, - const BIGNUM *b, BN_CTX *ctx) -{ - int ret = 0; - BN_CTX *ctx_new = NULL; - - if (!group || !r || !a || !b) { - ECerr(EC_F_EC_GFP_NIST_FIELD_MUL, ERR_R_PASSED_NULL_PARAMETER); - goto err; - } - if (!ctx) - if ((ctx_new = ctx = BN_CTX_new()) == NULL) - goto err; - - if (!BN_mul(r, a, b, ctx)) - goto err; - if (!group->field_mod_func(r, r, &group->field, ctx)) - goto err; - - ret = 1; - err: - if (ctx_new) - BN_CTX_free(ctx_new); - return ret; -} - -int ec_GFp_nist_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, - BN_CTX *ctx) -{ - int ret = 0; - BN_CTX *ctx_new = NULL; - - if (!group || !r || !a) { - ECerr(EC_F_EC_GFP_NIST_FIELD_SQR, EC_R_PASSED_NULL_PARAMETER); - goto err; - } - if (!ctx) - if ((ctx_new = ctx = BN_CTX_new()) == NULL) - goto err; - - if (!BN_sqr(r, a, ctx)) - goto err; - if (!group->field_mod_func(r, r, &group->field, ctx)) - goto err; - - ret = 1; - err: - if (ctx_new) - BN_CTX_free(ctx_new); - return ret; -} diff --git a/thirdparty/openssl/crypto/ec/ecp_nistp224.c b/thirdparty/openssl/crypto/ec/ecp_nistp224.c deleted file mode 100644 index d81cc9ce6b..0000000000 --- a/thirdparty/openssl/crypto/ec/ecp_nistp224.c +++ /dev/null @@ -1,1769 +0,0 @@ -/* crypto/ec/ecp_nistp224.c */ -/* - * Written by Emilia Kasper (Google) for the OpenSSL project. - */ -/* Copyright 2011 Google Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -/* - * A 64-bit implementation of the NIST P-224 elliptic curve point multiplication - * - * Inspired by Daniel J. Bernstein's public domain nistp224 implementation - * and Adam Langley's public domain 64-bit C implementation of curve25519 - */ - -#include <openssl/opensslconf.h> -#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 - -# ifndef OPENSSL_SYS_VMS -# include <stdint.h> -# else -# include <inttypes.h> -# endif - -# include <string.h> -# include <openssl/err.h> -# include "ec_lcl.h" - -# if defined(__GNUC__) && (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 1)) - /* even with gcc, the typedef won't work for 32-bit platforms */ -typedef __uint128_t uint128_t; /* nonstandard; implemented by gcc on 64-bit - * platforms */ -# else -# error "Need GCC 3.1 or later to define type uint128_t" -# endif - -typedef uint8_t u8; -typedef uint64_t u64; -typedef int64_t s64; - -/******************************************************************************/ -/*- - * INTERNAL REPRESENTATION OF FIELD ELEMENTS - * - * Field elements are represented as a_0 + 2^56*a_1 + 2^112*a_2 + 2^168*a_3 - * using 64-bit coefficients called 'limbs', - * and sometimes (for multiplication results) as - * b_0 + 2^56*b_1 + 2^112*b_2 + 2^168*b_3 + 2^224*b_4 + 2^280*b_5 + 2^336*b_6 - * using 128-bit coefficients called 'widelimbs'. - * A 4-limb representation is an 'felem'; - * a 7-widelimb representation is a 'widefelem'. - * Even within felems, bits of adjacent limbs overlap, and we don't always - * reduce the representations: we ensure that inputs to each felem - * multiplication satisfy a_i < 2^60, so outputs satisfy b_i < 4*2^60*2^60, - * and fit into a 128-bit word without overflow. The coefficients are then - * again partially reduced to obtain an felem satisfying a_i < 2^57. - * We only reduce to the unique minimal representation at the end of the - * computation. - */ - -typedef uint64_t limb; -typedef uint128_t widelimb; - -typedef limb felem[4]; -typedef widelimb widefelem[7]; - -/* - * Field element represented as a byte arrary. 28*8 = 224 bits is also the - * group order size for the elliptic curve, and we also use this type for - * scalars for point multiplication. - */ -typedef u8 felem_bytearray[28]; - -static const felem_bytearray nistp224_curve_params[5] = { - {0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, /* p */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01}, - {0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, /* a */ - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, - 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE}, - {0xB4, 0x05, 0x0A, 0x85, 0x0C, 0x04, 0xB3, 0xAB, 0xF5, 0x41, /* b */ - 0x32, 0x56, 0x50, 0x44, 0xB0, 0xB7, 0xD7, 0xBF, 0xD8, 0xBA, - 0x27, 0x0B, 0x39, 0x43, 0x23, 0x55, 0xFF, 0xB4}, - {0xB7, 0x0E, 0x0C, 0xBD, 0x6B, 0xB4, 0xBF, 0x7F, 0x32, 0x13, /* x */ - 0x90, 0xB9, 0x4A, 0x03, 0xC1, 0xD3, 0x56, 0xC2, 0x11, 0x22, - 0x34, 0x32, 0x80, 0xD6, 0x11, 0x5C, 0x1D, 0x21}, - {0xbd, 0x37, 0x63, 0x88, 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, /* y */ - 0xdf, 0xe6, 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64, - 0x44, 0xd5, 0x81, 0x99, 0x85, 0x00, 0x7e, 0x34} -}; - -/*- - * Precomputed multiples of the standard generator - * Points are given in coordinates (X, Y, Z) where Z normally is 1 - * (0 for the point at infinity). - * For each field element, slice a_0 is word 0, etc. - * - * The table has 2 * 16 elements, starting with the following: - * index | bits | point - * ------+---------+------------------------------ - * 0 | 0 0 0 0 | 0G - * 1 | 0 0 0 1 | 1G - * 2 | 0 0 1 0 | 2^56G - * 3 | 0 0 1 1 | (2^56 + 1)G - * 4 | 0 1 0 0 | 2^112G - * 5 | 0 1 0 1 | (2^112 + 1)G - * 6 | 0 1 1 0 | (2^112 + 2^56)G - * 7 | 0 1 1 1 | (2^112 + 2^56 + 1)G - * 8 | 1 0 0 0 | 2^168G - * 9 | 1 0 0 1 | (2^168 + 1)G - * 10 | 1 0 1 0 | (2^168 + 2^56)G - * 11 | 1 0 1 1 | (2^168 + 2^56 + 1)G - * 12 | 1 1 0 0 | (2^168 + 2^112)G - * 13 | 1 1 0 1 | (2^168 + 2^112 + 1)G - * 14 | 1 1 1 0 | (2^168 + 2^112 + 2^56)G - * 15 | 1 1 1 1 | (2^168 + 2^112 + 2^56 + 1)G - * followed by a copy of this with each element multiplied by 2^28. - * - * The reason for this is so that we can clock bits into four different - * locations when doing simple scalar multiplies against the base point, - * and then another four locations using the second 16 elements. - */ -static const felem gmul[2][16][3] = { {{{0, 0, 0, 0}, - {0, 0, 0, 0}, - {0, 0, 0, 0}}, - {{0x3280d6115c1d21, 0xc1d356c2112234, - 0x7f321390b94a03, 0xb70e0cbd6bb4bf}, - {0xd5819985007e34, 0x75a05a07476444, - 0xfb4c22dfe6cd43, 0xbd376388b5f723}, - {1, 0, 0, 0}}, - {{0xfd9675666ebbe9, 0xbca7664d40ce5e, - 0x2242df8d8a2a43, 0x1f49bbb0f99bc5}, - {0x29e0b892dc9c43, 0xece8608436e662, - 0xdc858f185310d0, 0x9812dd4eb8d321}, - {1, 0, 0, 0}}, - {{0x6d3e678d5d8eb8, 0x559eed1cb362f1, - 0x16e9a3bbce8a3f, 0xeedcccd8c2a748}, - {0xf19f90ed50266d, 0xabf2b4bf65f9df, - 0x313865468fafec, 0x5cb379ba910a17}, - {1, 0, 0, 0}}, - {{0x0641966cab26e3, 0x91fb2991fab0a0, - 0xefec27a4e13a0b, 0x0499aa8a5f8ebe}, - {0x7510407766af5d, 0x84d929610d5450, - 0x81d77aae82f706, 0x6916f6d4338c5b}, - {1, 0, 0, 0}}, - {{0xea95ac3b1f15c6, 0x086000905e82d4, - 0xdd323ae4d1c8b1, 0x932b56be7685a3}, - {0x9ef93dea25dbbf, 0x41665960f390f0, - 0xfdec76dbe2a8a7, 0x523e80f019062a}, - {1, 0, 0, 0}}, - {{0x822fdd26732c73, 0xa01c83531b5d0f, - 0x363f37347c1ba4, 0xc391b45c84725c}, - {0xbbd5e1b2d6ad24, 0xddfbcde19dfaec, - 0xc393da7e222a7f, 0x1efb7890ede244}, - {1, 0, 0, 0}}, - {{0x4c9e90ca217da1, 0xd11beca79159bb, - 0xff8d33c2c98b7c, 0x2610b39409f849}, - {0x44d1352ac64da0, 0xcdbb7b2c46b4fb, - 0x966c079b753c89, 0xfe67e4e820b112}, - {1, 0, 0, 0}}, - {{0xe28cae2df5312d, 0xc71b61d16f5c6e, - 0x79b7619a3e7c4c, 0x05c73240899b47}, - {0x9f7f6382c73e3a, 0x18615165c56bda, - 0x641fab2116fd56, 0x72855882b08394}, - {1, 0, 0, 0}}, - {{0x0469182f161c09, 0x74a98ca8d00fb5, - 0xb89da93489a3e0, 0x41c98768fb0c1d}, - {0xe5ea05fb32da81, 0x3dce9ffbca6855, - 0x1cfe2d3fbf59e6, 0x0e5e03408738a7}, - {1, 0, 0, 0}}, - {{0xdab22b2333e87f, 0x4430137a5dd2f6, - 0xe03ab9f738beb8, 0xcb0c5d0dc34f24}, - {0x764a7df0c8fda5, 0x185ba5c3fa2044, - 0x9281d688bcbe50, 0xc40331df893881}, - {1, 0, 0, 0}}, - {{0xb89530796f0f60, 0xade92bd26909a3, - 0x1a0c83fb4884da, 0x1765bf22a5a984}, - {0x772a9ee75db09e, 0x23bc6c67cec16f, - 0x4c1edba8b14e2f, 0xe2a215d9611369}, - {1, 0, 0, 0}}, - {{0x571e509fb5efb3, 0xade88696410552, - 0xc8ae85fada74fe, 0x6c7e4be83bbde3}, - {0xff9f51160f4652, 0xb47ce2495a6539, - 0xa2946c53b582f4, 0x286d2db3ee9a60}, - {1, 0, 0, 0}}, - {{0x40bbd5081a44af, 0x0995183b13926c, - 0xbcefba6f47f6d0, 0x215619e9cc0057}, - {0x8bc94d3b0df45e, 0xf11c54a3694f6f, - 0x8631b93cdfe8b5, 0xe7e3f4b0982db9}, - {1, 0, 0, 0}}, - {{0xb17048ab3e1c7b, 0xac38f36ff8a1d8, - 0x1c29819435d2c6, 0xc813132f4c07e9}, - {0x2891425503b11f, 0x08781030579fea, - 0xf5426ba5cc9674, 0x1e28ebf18562bc}, - {1, 0, 0, 0}}, - {{0x9f31997cc864eb, 0x06cd91d28b5e4c, - 0xff17036691a973, 0xf1aef351497c58}, - {0xdd1f2d600564ff, 0xdead073b1402db, - 0x74a684435bd693, 0xeea7471f962558}, - {1, 0, 0, 0}}}, -{{{0, 0, 0, 0}, - {0, 0, 0, 0}, - {0, 0, 0, 0}}, - {{0x9665266dddf554, 0x9613d78b60ef2d, 0xce27a34cdba417, 0xd35ab74d6afc31}, - {0x85ccdd22deb15e, 0x2137e5783a6aab, 0xa141cffd8c93c6, 0x355a1830e90f2d}, - {1, 0, 0, 0}}, - {{0x1a494eadaade65, 0xd6da4da77fe53c, 0xe7992996abec86, 0x65c3553c6090e3}, - {0xfa610b1fb09346, 0xf1c6540b8a4aaf, 0xc51a13ccd3cbab, 0x02995b1b18c28a}, - {1, 0, 0, 0}}, - {{0x7874568e7295ef, 0x86b419fbe38d04, 0xdc0690a7550d9a, 0xd3966a44beac33}, - {0x2b7280ec29132f, 0xbeaa3b6a032df3, 0xdc7dd88ae41200, 0xd25e2513e3a100}, - {1, 0, 0, 0}}, - {{0x924857eb2efafd, 0xac2bce41223190, 0x8edaa1445553fc, 0x825800fd3562d5}, - {0x8d79148ea96621, 0x23a01c3dd9ed8d, 0xaf8b219f9416b5, 0xd8db0cc277daea}, - {1, 0, 0, 0}}, - {{0x76a9c3b1a700f0, 0xe9acd29bc7e691, 0x69212d1a6b0327, 0x6322e97fe154be}, - {0x469fc5465d62aa, 0x8d41ed18883b05, 0x1f8eae66c52b88, 0xe4fcbe9325be51}, - {1, 0, 0, 0}}, - {{0x825fdf583cac16, 0x020b857c7b023a, 0x683c17744b0165, 0x14ffd0a2daf2f1}, - {0x323b36184218f9, 0x4944ec4e3b47d4, 0xc15b3080841acf, 0x0bced4b01a28bb}, - {1, 0, 0, 0}}, - {{0x92ac22230df5c4, 0x52f33b4063eda8, 0xcb3f19870c0c93, 0x40064f2ba65233}, - {0xfe16f0924f8992, 0x012da25af5b517, 0x1a57bb24f723a6, 0x06f8bc76760def}, - {1, 0, 0, 0}}, - {{0x4a7084f7817cb9, 0xbcab0738ee9a78, 0x3ec11e11d9c326, 0xdc0fe90e0f1aae}, - {0xcf639ea5f98390, 0x5c350aa22ffb74, 0x9afae98a4047b7, 0x956ec2d617fc45}, - {1, 0, 0, 0}}, - {{0x4306d648c1be6a, 0x9247cd8bc9a462, 0xf5595e377d2f2e, 0xbd1c3caff1a52e}, - {0x045e14472409d0, 0x29f3e17078f773, 0x745a602b2d4f7d, 0x191837685cdfbb}, - {1, 0, 0, 0}}, - {{0x5b6ee254a8cb79, 0x4953433f5e7026, 0xe21faeb1d1def4, 0xc4c225785c09de}, - {0x307ce7bba1e518, 0x31b125b1036db8, 0x47e91868839e8f, 0xc765866e33b9f3}, - {1, 0, 0, 0}}, - {{0x3bfece24f96906, 0x4794da641e5093, 0xde5df64f95db26, 0x297ecd89714b05}, - {0x701bd3ebb2c3aa, 0x7073b4f53cb1d5, 0x13c5665658af16, 0x9895089d66fe58}, - {1, 0, 0, 0}}, - {{0x0fef05f78c4790, 0x2d773633b05d2e, 0x94229c3a951c94, 0xbbbd70df4911bb}, - {0xb2c6963d2c1168, 0x105f47a72b0d73, 0x9fdf6111614080, 0x7b7e94b39e67b0}, - {1, 0, 0, 0}}, - {{0xad1a7d6efbe2b3, 0xf012482c0da69d, 0x6b3bdf12438345, 0x40d7558d7aa4d9}, - {0x8a09fffb5c6d3d, 0x9a356e5d9ffd38, 0x5973f15f4f9b1c, 0xdcd5f59f63c3ea}, - {1, 0, 0, 0}}, - {{0xacf39f4c5ca7ab, 0x4c8071cc5fd737, 0xc64e3602cd1184, 0x0acd4644c9abba}, - {0x6c011a36d8bf6e, 0xfecd87ba24e32a, 0x19f6f56574fad8, 0x050b204ced9405}, - {1, 0, 0, 0}}, - {{0xed4f1cae7d9a96, 0x5ceef7ad94c40a, 0x778e4a3bf3ef9b, 0x7405783dc3b55e}, - {0x32477c61b6e8c6, 0xb46a97570f018b, 0x91176d0a7e95d1, 0x3df90fbc4c7d0e}, - {1, 0, 0, 0}}} -}; - -/* Precomputation for the group generator. */ -typedef struct { - felem g_pre_comp[2][16][3]; - int references; -} NISTP224_PRE_COMP; - -const EC_METHOD *EC_GFp_nistp224_method(void) -{ - static const EC_METHOD ret = { - EC_FLAGS_DEFAULT_OCT, - NID_X9_62_prime_field, - ec_GFp_nistp224_group_init, - ec_GFp_simple_group_finish, - ec_GFp_simple_group_clear_finish, - ec_GFp_nist_group_copy, - ec_GFp_nistp224_group_set_curve, - ec_GFp_simple_group_get_curve, - ec_GFp_simple_group_get_degree, - ec_GFp_simple_group_check_discriminant, - ec_GFp_simple_point_init, - ec_GFp_simple_point_finish, - ec_GFp_simple_point_clear_finish, - ec_GFp_simple_point_copy, - ec_GFp_simple_point_set_to_infinity, - ec_GFp_simple_set_Jprojective_coordinates_GFp, - ec_GFp_simple_get_Jprojective_coordinates_GFp, - ec_GFp_simple_point_set_affine_coordinates, - ec_GFp_nistp224_point_get_affine_coordinates, - 0 /* point_set_compressed_coordinates */ , - 0 /* point2oct */ , - 0 /* oct2point */ , - ec_GFp_simple_add, - ec_GFp_simple_dbl, - ec_GFp_simple_invert, - ec_GFp_simple_is_at_infinity, - ec_GFp_simple_is_on_curve, - ec_GFp_simple_cmp, - ec_GFp_simple_make_affine, - ec_GFp_simple_points_make_affine, - ec_GFp_nistp224_points_mul, - ec_GFp_nistp224_precompute_mult, - ec_GFp_nistp224_have_precompute_mult, - ec_GFp_nist_field_mul, - ec_GFp_nist_field_sqr, - 0 /* field_div */ , - 0 /* field_encode */ , - 0 /* field_decode */ , - 0 /* field_set_to_one */ - }; - - return &ret; -} - -/* - * Helper functions to convert field elements to/from internal representation - */ -static void bin28_to_felem(felem out, const u8 in[28]) -{ - out[0] = *((const uint64_t *)(in)) & 0x00ffffffffffffff; - out[1] = (*((const uint64_t *)(in + 7))) & 0x00ffffffffffffff; - out[2] = (*((const uint64_t *)(in + 14))) & 0x00ffffffffffffff; - out[3] = (*((const uint64_t *)(in+20))) >> 8; -} - -static void felem_to_bin28(u8 out[28], const felem in) -{ - unsigned i; - for (i = 0; i < 7; ++i) { - out[i] = in[0] >> (8 * i); - out[i + 7] = in[1] >> (8 * i); - out[i + 14] = in[2] >> (8 * i); - out[i + 21] = in[3] >> (8 * i); - } -} - -/* To preserve endianness when using BN_bn2bin and BN_bin2bn */ -static void flip_endian(u8 *out, const u8 *in, unsigned len) -{ - unsigned i; - for (i = 0; i < len; ++i) - out[i] = in[len - 1 - i]; -} - -/* From OpenSSL BIGNUM to internal representation */ -static int BN_to_felem(felem out, const BIGNUM *bn) -{ - felem_bytearray b_in; - felem_bytearray b_out; - unsigned num_bytes; - - /* BN_bn2bin eats leading zeroes */ - memset(b_out, 0, sizeof b_out); - num_bytes = BN_num_bytes(bn); - if (num_bytes > sizeof b_out) { - ECerr(EC_F_BN_TO_FELEM, EC_R_BIGNUM_OUT_OF_RANGE); - return 0; - } - if (BN_is_negative(bn)) { - ECerr(EC_F_BN_TO_FELEM, EC_R_BIGNUM_OUT_OF_RANGE); - return 0; - } - num_bytes = BN_bn2bin(bn, b_in); - flip_endian(b_out, b_in, num_bytes); - bin28_to_felem(out, b_out); - return 1; -} - -/* From internal representation to OpenSSL BIGNUM */ -static BIGNUM *felem_to_BN(BIGNUM *out, const felem in) -{ - felem_bytearray b_in, b_out; - felem_to_bin28(b_in, in); - flip_endian(b_out, b_in, sizeof b_out); - return BN_bin2bn(b_out, sizeof b_out, out); -} - -/******************************************************************************/ -/*- - * FIELD OPERATIONS - * - * Field operations, using the internal representation of field elements. - * NB! These operations are specific to our point multiplication and cannot be - * expected to be correct in general - e.g., multiplication with a large scalar - * will cause an overflow. - * - */ - -static void felem_one(felem out) -{ - out[0] = 1; - out[1] = 0; - out[2] = 0; - out[3] = 0; -} - -static void felem_assign(felem out, const felem in) -{ - out[0] = in[0]; - out[1] = in[1]; - out[2] = in[2]; - out[3] = in[3]; -} - -/* Sum two field elements: out += in */ -static void felem_sum(felem out, const felem in) -{ - out[0] += in[0]; - out[1] += in[1]; - out[2] += in[2]; - out[3] += in[3]; -} - -/* Get negative value: out = -in */ -/* Assumes in[i] < 2^57 */ -static void felem_neg(felem out, const felem in) -{ - static const limb two58p2 = (((limb) 1) << 58) + (((limb) 1) << 2); - static const limb two58m2 = (((limb) 1) << 58) - (((limb) 1) << 2); - static const limb two58m42m2 = (((limb) 1) << 58) - - (((limb) 1) << 42) - (((limb) 1) << 2); - - /* Set to 0 mod 2^224-2^96+1 to ensure out > in */ - out[0] = two58p2 - in[0]; - out[1] = two58m42m2 - in[1]; - out[2] = two58m2 - in[2]; - out[3] = two58m2 - in[3]; -} - -/* Subtract field elements: out -= in */ -/* Assumes in[i] < 2^57 */ -static void felem_diff(felem out, const felem in) -{ - static const limb two58p2 = (((limb) 1) << 58) + (((limb) 1) << 2); - static const limb two58m2 = (((limb) 1) << 58) - (((limb) 1) << 2); - static const limb two58m42m2 = (((limb) 1) << 58) - - (((limb) 1) << 42) - (((limb) 1) << 2); - - /* Add 0 mod 2^224-2^96+1 to ensure out > in */ - out[0] += two58p2; - out[1] += two58m42m2; - out[2] += two58m2; - out[3] += two58m2; - - out[0] -= in[0]; - out[1] -= in[1]; - out[2] -= in[2]; - out[3] -= in[3]; -} - -/* Subtract in unreduced 128-bit mode: out -= in */ -/* Assumes in[i] < 2^119 */ -static void widefelem_diff(widefelem out, const widefelem in) -{ - static const widelimb two120 = ((widelimb) 1) << 120; - static const widelimb two120m64 = (((widelimb) 1) << 120) - - (((widelimb) 1) << 64); - static const widelimb two120m104m64 = (((widelimb) 1) << 120) - - (((widelimb) 1) << 104) - (((widelimb) 1) << 64); - - /* Add 0 mod 2^224-2^96+1 to ensure out > in */ - out[0] += two120; - out[1] += two120m64; - out[2] += two120m64; - out[3] += two120; - out[4] += two120m104m64; - out[5] += two120m64; - out[6] += two120m64; - - out[0] -= in[0]; - out[1] -= in[1]; - out[2] -= in[2]; - out[3] -= in[3]; - out[4] -= in[4]; - out[5] -= in[5]; - out[6] -= in[6]; -} - -/* Subtract in mixed mode: out128 -= in64 */ -/* in[i] < 2^63 */ -static void felem_diff_128_64(widefelem out, const felem in) -{ - static const widelimb two64p8 = (((widelimb) 1) << 64) + - (((widelimb) 1) << 8); - static const widelimb two64m8 = (((widelimb) 1) << 64) - - (((widelimb) 1) << 8); - static const widelimb two64m48m8 = (((widelimb) 1) << 64) - - (((widelimb) 1) << 48) - (((widelimb) 1) << 8); - - /* Add 0 mod 2^224-2^96+1 to ensure out > in */ - out[0] += two64p8; - out[1] += two64m48m8; - out[2] += two64m8; - out[3] += two64m8; - - out[0] -= in[0]; - out[1] -= in[1]; - out[2] -= in[2]; - out[3] -= in[3]; -} - -/* - * Multiply a field element by a scalar: out = out * scalar The scalars we - * actually use are small, so results fit without overflow - */ -static void felem_scalar(felem out, const limb scalar) -{ - out[0] *= scalar; - out[1] *= scalar; - out[2] *= scalar; - out[3] *= scalar; -} - -/* - * Multiply an unreduced field element by a scalar: out = out * scalar The - * scalars we actually use are small, so results fit without overflow - */ -static void widefelem_scalar(widefelem out, const widelimb scalar) -{ - out[0] *= scalar; - out[1] *= scalar; - out[2] *= scalar; - out[3] *= scalar; - out[4] *= scalar; - out[5] *= scalar; - out[6] *= scalar; -} - -/* Square a field element: out = in^2 */ -static void felem_square(widefelem out, const felem in) -{ - limb tmp0, tmp1, tmp2; - tmp0 = 2 * in[0]; - tmp1 = 2 * in[1]; - tmp2 = 2 * in[2]; - out[0] = ((widelimb) in[0]) * in[0]; - out[1] = ((widelimb) in[0]) * tmp1; - out[2] = ((widelimb) in[0]) * tmp2 + ((widelimb) in[1]) * in[1]; - out[3] = ((widelimb) in[3]) * tmp0 + ((widelimb) in[1]) * tmp2; - out[4] = ((widelimb) in[3]) * tmp1 + ((widelimb) in[2]) * in[2]; - out[5] = ((widelimb) in[3]) * tmp2; - out[6] = ((widelimb) in[3]) * in[3]; -} - -/* Multiply two field elements: out = in1 * in2 */ -static void felem_mul(widefelem out, const felem in1, const felem in2) -{ - out[0] = ((widelimb) in1[0]) * in2[0]; - out[1] = ((widelimb) in1[0]) * in2[1] + ((widelimb) in1[1]) * in2[0]; - out[2] = ((widelimb) in1[0]) * in2[2] + ((widelimb) in1[1]) * in2[1] + - ((widelimb) in1[2]) * in2[0]; - out[3] = ((widelimb) in1[0]) * in2[3] + ((widelimb) in1[1]) * in2[2] + - ((widelimb) in1[2]) * in2[1] + ((widelimb) in1[3]) * in2[0]; - out[4] = ((widelimb) in1[1]) * in2[3] + ((widelimb) in1[2]) * in2[2] + - ((widelimb) in1[3]) * in2[1]; - out[5] = ((widelimb) in1[2]) * in2[3] + ((widelimb) in1[3]) * in2[2]; - out[6] = ((widelimb) in1[3]) * in2[3]; -} - -/*- - * Reduce seven 128-bit coefficients to four 64-bit coefficients. - * Requires in[i] < 2^126, - * ensures out[0] < 2^56, out[1] < 2^56, out[2] < 2^56, out[3] <= 2^56 + 2^16 */ -static void felem_reduce(felem out, const widefelem in) -{ - static const widelimb two127p15 = (((widelimb) 1) << 127) + - (((widelimb) 1) << 15); - static const widelimb two127m71 = (((widelimb) 1) << 127) - - (((widelimb) 1) << 71); - static const widelimb two127m71m55 = (((widelimb) 1) << 127) - - (((widelimb) 1) << 71) - (((widelimb) 1) << 55); - widelimb output[5]; - - /* Add 0 mod 2^224-2^96+1 to ensure all differences are positive */ - output[0] = in[0] + two127p15; - output[1] = in[1] + two127m71m55; - output[2] = in[2] + two127m71; - output[3] = in[3]; - output[4] = in[4]; - - /* Eliminate in[4], in[5], in[6] */ - output[4] += in[6] >> 16; - output[3] += (in[6] & 0xffff) << 40; - output[2] -= in[6]; - - output[3] += in[5] >> 16; - output[2] += (in[5] & 0xffff) << 40; - output[1] -= in[5]; - - output[2] += output[4] >> 16; - output[1] += (output[4] & 0xffff) << 40; - output[0] -= output[4]; - - /* Carry 2 -> 3 -> 4 */ - output[3] += output[2] >> 56; - output[2] &= 0x00ffffffffffffff; - - output[4] = output[3] >> 56; - output[3] &= 0x00ffffffffffffff; - - /* Now output[2] < 2^56, output[3] < 2^56, output[4] < 2^72 */ - - /* Eliminate output[4] */ - output[2] += output[4] >> 16; - /* output[2] < 2^56 + 2^56 = 2^57 */ - output[1] += (output[4] & 0xffff) << 40; - output[0] -= output[4]; - - /* Carry 0 -> 1 -> 2 -> 3 */ - output[1] += output[0] >> 56; - out[0] = output[0] & 0x00ffffffffffffff; - - output[2] += output[1] >> 56; - /* output[2] < 2^57 + 2^72 */ - out[1] = output[1] & 0x00ffffffffffffff; - output[3] += output[2] >> 56; - /* output[3] <= 2^56 + 2^16 */ - out[2] = output[2] & 0x00ffffffffffffff; - - /*- - * out[0] < 2^56, out[1] < 2^56, out[2] < 2^56, - * out[3] <= 2^56 + 2^16 (due to final carry), - * so out < 2*p - */ - out[3] = output[3]; -} - -static void felem_square_reduce(felem out, const felem in) -{ - widefelem tmp; - felem_square(tmp, in); - felem_reduce(out, tmp); -} - -static void felem_mul_reduce(felem out, const felem in1, const felem in2) -{ - widefelem tmp; - felem_mul(tmp, in1, in2); - felem_reduce(out, tmp); -} - -/* - * Reduce to unique minimal representation. Requires 0 <= in < 2*p (always - * call felem_reduce first) - */ -static void felem_contract(felem out, const felem in) -{ - static const int64_t two56 = ((limb) 1) << 56; - /* 0 <= in < 2*p, p = 2^224 - 2^96 + 1 */ - /* if in > p , reduce in = in - 2^224 + 2^96 - 1 */ - int64_t tmp[4], a; - tmp[0] = in[0]; - tmp[1] = in[1]; - tmp[2] = in[2]; - tmp[3] = in[3]; - /* Case 1: a = 1 iff in >= 2^224 */ - a = (in[3] >> 56); - tmp[0] -= a; - tmp[1] += a << 40; - tmp[3] &= 0x00ffffffffffffff; - /* - * Case 2: a = 0 iff p <= in < 2^224, i.e., the high 128 bits are all 1 - * and the lower part is non-zero - */ - a = ((in[3] & in[2] & (in[1] | 0x000000ffffffffff)) + 1) | - (((int64_t) (in[0] + (in[1] & 0x000000ffffffffff)) - 1) >> 63); - a &= 0x00ffffffffffffff; - /* turn a into an all-one mask (if a = 0) or an all-zero mask */ - a = (a - 1) >> 63; - /* subtract 2^224 - 2^96 + 1 if a is all-one */ - tmp[3] &= a ^ 0xffffffffffffffff; - tmp[2] &= a ^ 0xffffffffffffffff; - tmp[1] &= (a ^ 0xffffffffffffffff) | 0x000000ffffffffff; - tmp[0] -= 1 & a; - - /* - * eliminate negative coefficients: if tmp[0] is negative, tmp[1] must be - * non-zero, so we only need one step - */ - a = tmp[0] >> 63; - tmp[0] += two56 & a; - tmp[1] -= 1 & a; - - /* carry 1 -> 2 -> 3 */ - tmp[2] += tmp[1] >> 56; - tmp[1] &= 0x00ffffffffffffff; - - tmp[3] += tmp[2] >> 56; - tmp[2] &= 0x00ffffffffffffff; - - /* Now 0 <= out < p */ - out[0] = tmp[0]; - out[1] = tmp[1]; - out[2] = tmp[2]; - out[3] = tmp[3]; -} - -/* - * Zero-check: returns 1 if input is 0, and 0 otherwise. We know that field - * elements are reduced to in < 2^225, so we only need to check three cases: - * 0, 2^224 - 2^96 + 1, and 2^225 - 2^97 + 2 - */ -static limb felem_is_zero(const felem in) -{ - limb zero, two224m96p1, two225m97p2; - - zero = in[0] | in[1] | in[2] | in[3]; - zero = (((int64_t) (zero) - 1) >> 63) & 1; - two224m96p1 = (in[0] ^ 1) | (in[1] ^ 0x00ffff0000000000) - | (in[2] ^ 0x00ffffffffffffff) | (in[3] ^ 0x00ffffffffffffff); - two224m96p1 = (((int64_t) (two224m96p1) - 1) >> 63) & 1; - two225m97p2 = (in[0] ^ 2) | (in[1] ^ 0x00fffe0000000000) - | (in[2] ^ 0x00ffffffffffffff) | (in[3] ^ 0x01ffffffffffffff); - two225m97p2 = (((int64_t) (two225m97p2) - 1) >> 63) & 1; - return (zero | two224m96p1 | two225m97p2); -} - -static limb felem_is_zero_int(const felem in) -{ - return (int)(felem_is_zero(in) & ((limb) 1)); -} - -/* Invert a field element */ -/* Computation chain copied from djb's code */ -static void felem_inv(felem out, const felem in) -{ - felem ftmp, ftmp2, ftmp3, ftmp4; - widefelem tmp; - unsigned i; - - felem_square(tmp, in); - felem_reduce(ftmp, tmp); /* 2 */ - felem_mul(tmp, in, ftmp); - felem_reduce(ftmp, tmp); /* 2^2 - 1 */ - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); /* 2^3 - 2 */ - felem_mul(tmp, in, ftmp); - felem_reduce(ftmp, tmp); /* 2^3 - 1 */ - felem_square(tmp, ftmp); - felem_reduce(ftmp2, tmp); /* 2^4 - 2 */ - felem_square(tmp, ftmp2); - felem_reduce(ftmp2, tmp); /* 2^5 - 4 */ - felem_square(tmp, ftmp2); - felem_reduce(ftmp2, tmp); /* 2^6 - 8 */ - felem_mul(tmp, ftmp2, ftmp); - felem_reduce(ftmp, tmp); /* 2^6 - 1 */ - felem_square(tmp, ftmp); - felem_reduce(ftmp2, tmp); /* 2^7 - 2 */ - for (i = 0; i < 5; ++i) { /* 2^12 - 2^6 */ - felem_square(tmp, ftmp2); - felem_reduce(ftmp2, tmp); - } - felem_mul(tmp, ftmp2, ftmp); - felem_reduce(ftmp2, tmp); /* 2^12 - 1 */ - felem_square(tmp, ftmp2); - felem_reduce(ftmp3, tmp); /* 2^13 - 2 */ - for (i = 0; i < 11; ++i) { /* 2^24 - 2^12 */ - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); - } - felem_mul(tmp, ftmp3, ftmp2); - felem_reduce(ftmp2, tmp); /* 2^24 - 1 */ - felem_square(tmp, ftmp2); - felem_reduce(ftmp3, tmp); /* 2^25 - 2 */ - for (i = 0; i < 23; ++i) { /* 2^48 - 2^24 */ - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); - } - felem_mul(tmp, ftmp3, ftmp2); - felem_reduce(ftmp3, tmp); /* 2^48 - 1 */ - felem_square(tmp, ftmp3); - felem_reduce(ftmp4, tmp); /* 2^49 - 2 */ - for (i = 0; i < 47; ++i) { /* 2^96 - 2^48 */ - felem_square(tmp, ftmp4); - felem_reduce(ftmp4, tmp); - } - felem_mul(tmp, ftmp3, ftmp4); - felem_reduce(ftmp3, tmp); /* 2^96 - 1 */ - felem_square(tmp, ftmp3); - felem_reduce(ftmp4, tmp); /* 2^97 - 2 */ - for (i = 0; i < 23; ++i) { /* 2^120 - 2^24 */ - felem_square(tmp, ftmp4); - felem_reduce(ftmp4, tmp); - } - felem_mul(tmp, ftmp2, ftmp4); - felem_reduce(ftmp2, tmp); /* 2^120 - 1 */ - for (i = 0; i < 6; ++i) { /* 2^126 - 2^6 */ - felem_square(tmp, ftmp2); - felem_reduce(ftmp2, tmp); - } - felem_mul(tmp, ftmp2, ftmp); - felem_reduce(ftmp, tmp); /* 2^126 - 1 */ - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); /* 2^127 - 2 */ - felem_mul(tmp, ftmp, in); - felem_reduce(ftmp, tmp); /* 2^127 - 1 */ - for (i = 0; i < 97; ++i) { /* 2^224 - 2^97 */ - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); - } - felem_mul(tmp, ftmp, ftmp3); - felem_reduce(out, tmp); /* 2^224 - 2^96 - 1 */ -} - -/* - * Copy in constant time: if icopy == 1, copy in to out, if icopy == 0, copy - * out to itself. - */ -static void copy_conditional(felem out, const felem in, limb icopy) -{ - unsigned i; - /* - * icopy is a (64-bit) 0 or 1, so copy is either all-zero or all-one - */ - const limb copy = -icopy; - for (i = 0; i < 4; ++i) { - const limb tmp = copy & (in[i] ^ out[i]); - out[i] ^= tmp; - } -} - -/******************************************************************************/ -/*- - * ELLIPTIC CURVE POINT OPERATIONS - * - * Points are represented in Jacobian projective coordinates: - * (X, Y, Z) corresponds to the affine point (X/Z^2, Y/Z^3), - * or to the point at infinity if Z == 0. - * - */ - -/*- - * Double an elliptic curve point: - * (X', Y', Z') = 2 * (X, Y, Z), where - * X' = (3 * (X - Z^2) * (X + Z^2))^2 - 8 * X * Y^2 - * Y' = 3 * (X - Z^2) * (X + Z^2) * (4 * X * Y^2 - X') - 8 * Y^2 - * Z' = (Y + Z)^2 - Y^2 - Z^2 = 2 * Y * Z - * Outputs can equal corresponding inputs, i.e., x_out == x_in is allowed, - * while x_out == y_in is not (maybe this works, but it's not tested). - */ -static void -point_double(felem x_out, felem y_out, felem z_out, - const felem x_in, const felem y_in, const felem z_in) -{ - widefelem tmp, tmp2; - felem delta, gamma, beta, alpha, ftmp, ftmp2; - - felem_assign(ftmp, x_in); - felem_assign(ftmp2, x_in); - - /* delta = z^2 */ - felem_square(tmp, z_in); - felem_reduce(delta, tmp); - - /* gamma = y^2 */ - felem_square(tmp, y_in); - felem_reduce(gamma, tmp); - - /* beta = x*gamma */ - felem_mul(tmp, x_in, gamma); - felem_reduce(beta, tmp); - - /* alpha = 3*(x-delta)*(x+delta) */ - felem_diff(ftmp, delta); - /* ftmp[i] < 2^57 + 2^58 + 2 < 2^59 */ - felem_sum(ftmp2, delta); - /* ftmp2[i] < 2^57 + 2^57 = 2^58 */ - felem_scalar(ftmp2, 3); - /* ftmp2[i] < 3 * 2^58 < 2^60 */ - felem_mul(tmp, ftmp, ftmp2); - /* tmp[i] < 2^60 * 2^59 * 4 = 2^121 */ - felem_reduce(alpha, tmp); - - /* x' = alpha^2 - 8*beta */ - felem_square(tmp, alpha); - /* tmp[i] < 4 * 2^57 * 2^57 = 2^116 */ - felem_assign(ftmp, beta); - felem_scalar(ftmp, 8); - /* ftmp[i] < 8 * 2^57 = 2^60 */ - felem_diff_128_64(tmp, ftmp); - /* tmp[i] < 2^116 + 2^64 + 8 < 2^117 */ - felem_reduce(x_out, tmp); - - /* z' = (y + z)^2 - gamma - delta */ - felem_sum(delta, gamma); - /* delta[i] < 2^57 + 2^57 = 2^58 */ - felem_assign(ftmp, y_in); - felem_sum(ftmp, z_in); - /* ftmp[i] < 2^57 + 2^57 = 2^58 */ - felem_square(tmp, ftmp); - /* tmp[i] < 4 * 2^58 * 2^58 = 2^118 */ - felem_diff_128_64(tmp, delta); - /* tmp[i] < 2^118 + 2^64 + 8 < 2^119 */ - felem_reduce(z_out, tmp); - - /* y' = alpha*(4*beta - x') - 8*gamma^2 */ - felem_scalar(beta, 4); - /* beta[i] < 4 * 2^57 = 2^59 */ - felem_diff(beta, x_out); - /* beta[i] < 2^59 + 2^58 + 2 < 2^60 */ - felem_mul(tmp, alpha, beta); - /* tmp[i] < 4 * 2^57 * 2^60 = 2^119 */ - felem_square(tmp2, gamma); - /* tmp2[i] < 4 * 2^57 * 2^57 = 2^116 */ - widefelem_scalar(tmp2, 8); - /* tmp2[i] < 8 * 2^116 = 2^119 */ - widefelem_diff(tmp, tmp2); - /* tmp[i] < 2^119 + 2^120 < 2^121 */ - felem_reduce(y_out, tmp); -} - -/*- - * Add two elliptic curve points: - * (X_1, Y_1, Z_1) + (X_2, Y_2, Z_2) = (X_3, Y_3, Z_3), where - * X_3 = (Z_1^3 * Y_2 - Z_2^3 * Y_1)^2 - (Z_1^2 * X_2 - Z_2^2 * X_1)^3 - - * 2 * Z_2^2 * X_1 * (Z_1^2 * X_2 - Z_2^2 * X_1)^2 - * Y_3 = (Z_1^3 * Y_2 - Z_2^3 * Y_1) * (Z_2^2 * X_1 * (Z_1^2 * X_2 - Z_2^2 * X_1)^2 - X_3) - - * Z_2^3 * Y_1 * (Z_1^2 * X_2 - Z_2^2 * X_1)^3 - * Z_3 = (Z_1^2 * X_2 - Z_2^2 * X_1) * (Z_1 * Z_2) - * - * This runs faster if 'mixed' is set, which requires Z_2 = 1 or Z_2 = 0. - */ - -/* - * This function is not entirely constant-time: it includes a branch for - * checking whether the two input points are equal, (while not equal to the - * point at infinity). This case never happens during single point - * multiplication, so there is no timing leak for ECDH or ECDSA signing. - */ -static void point_add(felem x3, felem y3, felem z3, - const felem x1, const felem y1, const felem z1, - const int mixed, const felem x2, const felem y2, - const felem z2) -{ - felem ftmp, ftmp2, ftmp3, ftmp4, ftmp5, x_out, y_out, z_out; - widefelem tmp, tmp2; - limb z1_is_zero, z2_is_zero, x_equal, y_equal; - - if (!mixed) { - /* ftmp2 = z2^2 */ - felem_square(tmp, z2); - felem_reduce(ftmp2, tmp); - - /* ftmp4 = z2^3 */ - felem_mul(tmp, ftmp2, z2); - felem_reduce(ftmp4, tmp); - - /* ftmp4 = z2^3*y1 */ - felem_mul(tmp2, ftmp4, y1); - felem_reduce(ftmp4, tmp2); - - /* ftmp2 = z2^2*x1 */ - felem_mul(tmp2, ftmp2, x1); - felem_reduce(ftmp2, tmp2); - } else { - /* - * We'll assume z2 = 1 (special case z2 = 0 is handled later) - */ - - /* ftmp4 = z2^3*y1 */ - felem_assign(ftmp4, y1); - - /* ftmp2 = z2^2*x1 */ - felem_assign(ftmp2, x1); - } - - /* ftmp = z1^2 */ - felem_square(tmp, z1); - felem_reduce(ftmp, tmp); - - /* ftmp3 = z1^3 */ - felem_mul(tmp, ftmp, z1); - felem_reduce(ftmp3, tmp); - - /* tmp = z1^3*y2 */ - felem_mul(tmp, ftmp3, y2); - /* tmp[i] < 4 * 2^57 * 2^57 = 2^116 */ - - /* ftmp3 = z1^3*y2 - z2^3*y1 */ - felem_diff_128_64(tmp, ftmp4); - /* tmp[i] < 2^116 + 2^64 + 8 < 2^117 */ - felem_reduce(ftmp3, tmp); - - /* tmp = z1^2*x2 */ - felem_mul(tmp, ftmp, x2); - /* tmp[i] < 4 * 2^57 * 2^57 = 2^116 */ - - /* ftmp = z1^2*x2 - z2^2*x1 */ - felem_diff_128_64(tmp, ftmp2); - /* tmp[i] < 2^116 + 2^64 + 8 < 2^117 */ - felem_reduce(ftmp, tmp); - - /* - * the formulae are incorrect if the points are equal so we check for - * this and do doubling if this happens - */ - x_equal = felem_is_zero(ftmp); - y_equal = felem_is_zero(ftmp3); - z1_is_zero = felem_is_zero(z1); - z2_is_zero = felem_is_zero(z2); - /* In affine coordinates, (X_1, Y_1) == (X_2, Y_2) */ - if (x_equal && y_equal && !z1_is_zero && !z2_is_zero) { - point_double(x3, y3, z3, x1, y1, z1); - return; - } - - /* ftmp5 = z1*z2 */ - if (!mixed) { - felem_mul(tmp, z1, z2); - felem_reduce(ftmp5, tmp); - } else { - /* special case z2 = 0 is handled later */ - felem_assign(ftmp5, z1); - } - - /* z_out = (z1^2*x2 - z2^2*x1)*(z1*z2) */ - felem_mul(tmp, ftmp, ftmp5); - felem_reduce(z_out, tmp); - - /* ftmp = (z1^2*x2 - z2^2*x1)^2 */ - felem_assign(ftmp5, ftmp); - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); - - /* ftmp5 = (z1^2*x2 - z2^2*x1)^3 */ - felem_mul(tmp, ftmp, ftmp5); - felem_reduce(ftmp5, tmp); - - /* ftmp2 = z2^2*x1*(z1^2*x2 - z2^2*x1)^2 */ - felem_mul(tmp, ftmp2, ftmp); - felem_reduce(ftmp2, tmp); - - /* tmp = z2^3*y1*(z1^2*x2 - z2^2*x1)^3 */ - felem_mul(tmp, ftmp4, ftmp5); - /* tmp[i] < 4 * 2^57 * 2^57 = 2^116 */ - - /* tmp2 = (z1^3*y2 - z2^3*y1)^2 */ - felem_square(tmp2, ftmp3); - /* tmp2[i] < 4 * 2^57 * 2^57 < 2^116 */ - - /* tmp2 = (z1^3*y2 - z2^3*y1)^2 - (z1^2*x2 - z2^2*x1)^3 */ - felem_diff_128_64(tmp2, ftmp5); - /* tmp2[i] < 2^116 + 2^64 + 8 < 2^117 */ - - /* ftmp5 = 2*z2^2*x1*(z1^2*x2 - z2^2*x1)^2 */ - felem_assign(ftmp5, ftmp2); - felem_scalar(ftmp5, 2); - /* ftmp5[i] < 2 * 2^57 = 2^58 */ - - /*- - * x_out = (z1^3*y2 - z2^3*y1)^2 - (z1^2*x2 - z2^2*x1)^3 - - * 2*z2^2*x1*(z1^2*x2 - z2^2*x1)^2 - */ - felem_diff_128_64(tmp2, ftmp5); - /* tmp2[i] < 2^117 + 2^64 + 8 < 2^118 */ - felem_reduce(x_out, tmp2); - - /* ftmp2 = z2^2*x1*(z1^2*x2 - z2^2*x1)^2 - x_out */ - felem_diff(ftmp2, x_out); - /* ftmp2[i] < 2^57 + 2^58 + 2 < 2^59 */ - - /* - * tmp2 = (z1^3*y2 - z2^3*y1)*(z2^2*x1*(z1^2*x2 - z2^2*x1)^2 - x_out) - */ - felem_mul(tmp2, ftmp3, ftmp2); - /* tmp2[i] < 4 * 2^57 * 2^59 = 2^118 */ - - /*- - * y_out = (z1^3*y2 - z2^3*y1)*(z2^2*x1*(z1^2*x2 - z2^2*x1)^2 - x_out) - - * z2^3*y1*(z1^2*x2 - z2^2*x1)^3 - */ - widefelem_diff(tmp2, tmp); - /* tmp2[i] < 2^118 + 2^120 < 2^121 */ - felem_reduce(y_out, tmp2); - - /* - * the result (x_out, y_out, z_out) is incorrect if one of the inputs is - * the point at infinity, so we need to check for this separately - */ - - /* - * if point 1 is at infinity, copy point 2 to output, and vice versa - */ - copy_conditional(x_out, x2, z1_is_zero); - copy_conditional(x_out, x1, z2_is_zero); - copy_conditional(y_out, y2, z1_is_zero); - copy_conditional(y_out, y1, z2_is_zero); - copy_conditional(z_out, z2, z1_is_zero); - copy_conditional(z_out, z1, z2_is_zero); - felem_assign(x3, x_out); - felem_assign(y3, y_out); - felem_assign(z3, z_out); -} - -/* - * select_point selects the |idx|th point from a precomputation table and - * copies it to out. - * The pre_comp array argument should be size of |size| argument - */ -static void select_point(const u64 idx, unsigned int size, - const felem pre_comp[][3], felem out[3]) -{ - unsigned i, j; - limb *outlimbs = &out[0][0]; - memset(outlimbs, 0, 3 * sizeof(felem)); - - for (i = 0; i < size; i++) { - const limb *inlimbs = &pre_comp[i][0][0]; - u64 mask = i ^ idx; - mask |= mask >> 4; - mask |= mask >> 2; - mask |= mask >> 1; - mask &= 1; - mask--; - for (j = 0; j < 4 * 3; j++) - outlimbs[j] |= inlimbs[j] & mask; - } -} - -/* get_bit returns the |i|th bit in |in| */ -static char get_bit(const felem_bytearray in, unsigned i) -{ - if (i >= 224) - return 0; - return (in[i >> 3] >> (i & 7)) & 1; -} - -/* - * Interleaved point multiplication using precomputed point multiples: The - * small point multiples 0*P, 1*P, ..., 16*P are in pre_comp[], the scalars - * in scalars[]. If g_scalar is non-NULL, we also add this multiple of the - * generator, using certain (large) precomputed multiples in g_pre_comp. - * Output point (X, Y, Z) is stored in x_out, y_out, z_out - */ -static void batch_mul(felem x_out, felem y_out, felem z_out, - const felem_bytearray scalars[], - const unsigned num_points, const u8 *g_scalar, - const int mixed, const felem pre_comp[][17][3], - const felem g_pre_comp[2][16][3]) -{ - int i, skip; - unsigned num; - unsigned gen_mul = (g_scalar != NULL); - felem nq[3], tmp[4]; - u64 bits; - u8 sign, digit; - - /* set nq to the point at infinity */ - memset(nq, 0, 3 * sizeof(felem)); - - /* - * Loop over all scalars msb-to-lsb, interleaving additions of multiples - * of the generator (two in each of the last 28 rounds) and additions of - * other points multiples (every 5th round). - */ - skip = 1; /* save two point operations in the first - * round */ - for (i = (num_points ? 220 : 27); i >= 0; --i) { - /* double */ - if (!skip) - point_double(nq[0], nq[1], nq[2], nq[0], nq[1], nq[2]); - - /* add multiples of the generator */ - if (gen_mul && (i <= 27)) { - /* first, look 28 bits upwards */ - bits = get_bit(g_scalar, i + 196) << 3; - bits |= get_bit(g_scalar, i + 140) << 2; - bits |= get_bit(g_scalar, i + 84) << 1; - bits |= get_bit(g_scalar, i + 28); - /* select the point to add, in constant time */ - select_point(bits, 16, g_pre_comp[1], tmp); - - if (!skip) { - /* value 1 below is argument for "mixed" */ - point_add(nq[0], nq[1], nq[2], - nq[0], nq[1], nq[2], 1, tmp[0], tmp[1], tmp[2]); - } else { - memcpy(nq, tmp, 3 * sizeof(felem)); - skip = 0; - } - - /* second, look at the current position */ - bits = get_bit(g_scalar, i + 168) << 3; - bits |= get_bit(g_scalar, i + 112) << 2; - bits |= get_bit(g_scalar, i + 56) << 1; - bits |= get_bit(g_scalar, i); - /* select the point to add, in constant time */ - select_point(bits, 16, g_pre_comp[0], tmp); - point_add(nq[0], nq[1], nq[2], - nq[0], nq[1], nq[2], - 1 /* mixed */ , tmp[0], tmp[1], tmp[2]); - } - - /* do other additions every 5 doublings */ - if (num_points && (i % 5 == 0)) { - /* loop over all scalars */ - for (num = 0; num < num_points; ++num) { - bits = get_bit(scalars[num], i + 4) << 5; - bits |= get_bit(scalars[num], i + 3) << 4; - bits |= get_bit(scalars[num], i + 2) << 3; - bits |= get_bit(scalars[num], i + 1) << 2; - bits |= get_bit(scalars[num], i) << 1; - bits |= get_bit(scalars[num], i - 1); - ec_GFp_nistp_recode_scalar_bits(&sign, &digit, bits); - - /* select the point to add or subtract */ - select_point(digit, 17, pre_comp[num], tmp); - felem_neg(tmp[3], tmp[1]); /* (X, -Y, Z) is the negative - * point */ - copy_conditional(tmp[1], tmp[3], sign); - - if (!skip) { - point_add(nq[0], nq[1], nq[2], - nq[0], nq[1], nq[2], - mixed, tmp[0], tmp[1], tmp[2]); - } else { - memcpy(nq, tmp, 3 * sizeof(felem)); - skip = 0; - } - } - } - } - felem_assign(x_out, nq[0]); - felem_assign(y_out, nq[1]); - felem_assign(z_out, nq[2]); -} - -/******************************************************************************/ -/* - * FUNCTIONS TO MANAGE PRECOMPUTATION - */ - -static NISTP224_PRE_COMP *nistp224_pre_comp_new() -{ - NISTP224_PRE_COMP *ret = NULL; - ret = (NISTP224_PRE_COMP *) OPENSSL_malloc(sizeof *ret); - if (!ret) { - ECerr(EC_F_NISTP224_PRE_COMP_NEW, ERR_R_MALLOC_FAILURE); - return ret; - } - memset(ret->g_pre_comp, 0, sizeof(ret->g_pre_comp)); - ret->references = 1; - return ret; -} - -static void *nistp224_pre_comp_dup(void *src_) -{ - NISTP224_PRE_COMP *src = src_; - - /* no need to actually copy, these objects never change! */ - CRYPTO_add(&src->references, 1, CRYPTO_LOCK_EC_PRE_COMP); - - return src_; -} - -static void nistp224_pre_comp_free(void *pre_) -{ - int i; - NISTP224_PRE_COMP *pre = pre_; - - if (!pre) - return; - - i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP); - if (i > 0) - return; - - OPENSSL_free(pre); -} - -static void nistp224_pre_comp_clear_free(void *pre_) -{ - int i; - NISTP224_PRE_COMP *pre = pre_; - - if (!pre) - return; - - i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP); - if (i > 0) - return; - - OPENSSL_cleanse(pre, sizeof *pre); - OPENSSL_free(pre); -} - -/******************************************************************************/ -/* - * OPENSSL EC_METHOD FUNCTIONS - */ - -int ec_GFp_nistp224_group_init(EC_GROUP *group) -{ - int ret; - ret = ec_GFp_simple_group_init(group); - group->a_is_minus3 = 1; - return ret; -} - -int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p, - const BIGNUM *a, const BIGNUM *b, - BN_CTX *ctx) -{ - int ret = 0; - BN_CTX *new_ctx = NULL; - BIGNUM *curve_p, *curve_a, *curve_b; - - if (ctx == NULL) - if ((ctx = new_ctx = BN_CTX_new()) == NULL) - return 0; - BN_CTX_start(ctx); - if (((curve_p = BN_CTX_get(ctx)) == NULL) || - ((curve_a = BN_CTX_get(ctx)) == NULL) || - ((curve_b = BN_CTX_get(ctx)) == NULL)) - goto err; - BN_bin2bn(nistp224_curve_params[0], sizeof(felem_bytearray), curve_p); - BN_bin2bn(nistp224_curve_params[1], sizeof(felem_bytearray), curve_a); - BN_bin2bn(nistp224_curve_params[2], sizeof(felem_bytearray), curve_b); - if ((BN_cmp(curve_p, p)) || (BN_cmp(curve_a, a)) || (BN_cmp(curve_b, b))) { - ECerr(EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE, - EC_R_WRONG_CURVE_PARAMETERS); - goto err; - } - group->field_mod_func = BN_nist_mod_224; - ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx); - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -/* - * Takes the Jacobian coordinates (X, Y, Z) of a point and returns (X', Y') = - * (X/Z^2, Y/Z^3) - */ -int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group, - const EC_POINT *point, - BIGNUM *x, BIGNUM *y, - BN_CTX *ctx) -{ - felem z1, z2, x_in, y_in, x_out, y_out; - widefelem tmp; - - if (EC_POINT_is_at_infinity(group, point)) { - ECerr(EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES, - EC_R_POINT_AT_INFINITY); - return 0; - } - if ((!BN_to_felem(x_in, &point->X)) || (!BN_to_felem(y_in, &point->Y)) || - (!BN_to_felem(z1, &point->Z))) - return 0; - felem_inv(z2, z1); - felem_square(tmp, z2); - felem_reduce(z1, tmp); - felem_mul(tmp, x_in, z1); - felem_reduce(x_in, tmp); - felem_contract(x_out, x_in); - if (x != NULL) { - if (!felem_to_BN(x, x_out)) { - ECerr(EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES, - ERR_R_BN_LIB); - return 0; - } - } - felem_mul(tmp, z1, z2); - felem_reduce(z1, tmp); - felem_mul(tmp, y_in, z1); - felem_reduce(y_in, tmp); - felem_contract(y_out, y_in); - if (y != NULL) { - if (!felem_to_BN(y, y_out)) { - ECerr(EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES, - ERR_R_BN_LIB); - return 0; - } - } - return 1; -} - -static void make_points_affine(size_t num, felem points[ /* num */ ][3], - felem tmp_felems[ /* num+1 */ ]) -{ - /* - * Runs in constant time, unless an input is the point at infinity (which - * normally shouldn't happen). - */ - ec_GFp_nistp_points_make_affine_internal(num, - points, - sizeof(felem), - tmp_felems, - (void (*)(void *))felem_one, - (int (*)(const void *)) - felem_is_zero_int, - (void (*)(void *, const void *)) - felem_assign, - (void (*)(void *, const void *)) - felem_square_reduce, (void (*) - (void *, - const void - *, - const void - *)) - felem_mul_reduce, - (void (*)(void *, const void *)) - felem_inv, - (void (*)(void *, const void *)) - felem_contract); -} - -/* - * Computes scalar*generator + \sum scalars[i]*points[i], ignoring NULL - * values Result is stored in r (r can equal one of the inputs). - */ -int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r, - const BIGNUM *scalar, size_t num, - const EC_POINT *points[], - const BIGNUM *scalars[], BN_CTX *ctx) -{ - int ret = 0; - int j; - unsigned i; - int mixed = 0; - BN_CTX *new_ctx = NULL; - BIGNUM *x, *y, *z, *tmp_scalar; - felem_bytearray g_secret; - felem_bytearray *secrets = NULL; - felem(*pre_comp)[17][3] = NULL; - felem *tmp_felems = NULL; - felem_bytearray tmp; - unsigned num_bytes; - int have_pre_comp = 0; - size_t num_points = num; - felem x_in, y_in, z_in, x_out, y_out, z_out; - NISTP224_PRE_COMP *pre = NULL; - const felem(*g_pre_comp)[16][3] = NULL; - EC_POINT *generator = NULL; - const EC_POINT *p = NULL; - const BIGNUM *p_scalar = NULL; - - if (ctx == NULL) - if ((ctx = new_ctx = BN_CTX_new()) == NULL) - return 0; - BN_CTX_start(ctx); - if (((x = BN_CTX_get(ctx)) == NULL) || - ((y = BN_CTX_get(ctx)) == NULL) || - ((z = BN_CTX_get(ctx)) == NULL) || - ((tmp_scalar = BN_CTX_get(ctx)) == NULL)) - goto err; - - if (scalar != NULL) { - pre = EC_EX_DATA_get_data(group->extra_data, - nistp224_pre_comp_dup, - nistp224_pre_comp_free, - nistp224_pre_comp_clear_free); - if (pre) - /* we have precomputation, try to use it */ - g_pre_comp = (const felem(*)[16][3])pre->g_pre_comp; - else - /* try to use the standard precomputation */ - g_pre_comp = &gmul[0]; - generator = EC_POINT_new(group); - if (generator == NULL) - goto err; - /* get the generator from precomputation */ - if (!felem_to_BN(x, g_pre_comp[0][1][0]) || - !felem_to_BN(y, g_pre_comp[0][1][1]) || - !felem_to_BN(z, g_pre_comp[0][1][2])) { - ECerr(EC_F_EC_GFP_NISTP224_POINTS_MUL, ERR_R_BN_LIB); - goto err; - } - if (!EC_POINT_set_Jprojective_coordinates_GFp(group, - generator, x, y, z, - ctx)) - goto err; - if (0 == EC_POINT_cmp(group, generator, group->generator, ctx)) - /* precomputation matches generator */ - have_pre_comp = 1; - else - /* - * we don't have valid precomputation: treat the generator as a - * random point - */ - num_points = num_points + 1; - } - - if (num_points > 0) { - if (num_points >= 3) { - /* - * unless we precompute multiples for just one or two points, - * converting those into affine form is time well spent - */ - mixed = 1; - } - secrets = OPENSSL_malloc(num_points * sizeof(felem_bytearray)); - pre_comp = OPENSSL_malloc(num_points * 17 * 3 * sizeof(felem)); - if (mixed) - tmp_felems = - OPENSSL_malloc((num_points * 17 + 1) * sizeof(felem)); - if ((secrets == NULL) || (pre_comp == NULL) - || (mixed && (tmp_felems == NULL))) { - ECerr(EC_F_EC_GFP_NISTP224_POINTS_MUL, ERR_R_MALLOC_FAILURE); - goto err; - } - - /* - * we treat NULL scalars as 0, and NULL points as points at infinity, - * i.e., they contribute nothing to the linear combination - */ - memset(secrets, 0, num_points * sizeof(felem_bytearray)); - memset(pre_comp, 0, num_points * 17 * 3 * sizeof(felem)); - for (i = 0; i < num_points; ++i) { - if (i == num) - /* the generator */ - { - p = EC_GROUP_get0_generator(group); - p_scalar = scalar; - } else - /* the i^th point */ - { - p = points[i]; - p_scalar = scalars[i]; - } - if ((p_scalar != NULL) && (p != NULL)) { - /* reduce scalar to 0 <= scalar < 2^224 */ - if ((BN_num_bits(p_scalar) > 224) - || (BN_is_negative(p_scalar))) { - /* - * this is an unusual input, and we don't guarantee - * constant-timeness - */ - if (!BN_nnmod(tmp_scalar, p_scalar, &group->order, ctx)) { - ECerr(EC_F_EC_GFP_NISTP224_POINTS_MUL, ERR_R_BN_LIB); - goto err; - } - num_bytes = BN_bn2bin(tmp_scalar, tmp); - } else - num_bytes = BN_bn2bin(p_scalar, tmp); - flip_endian(secrets[i], tmp, num_bytes); - /* precompute multiples */ - if ((!BN_to_felem(x_out, &p->X)) || - (!BN_to_felem(y_out, &p->Y)) || - (!BN_to_felem(z_out, &p->Z))) - goto err; - felem_assign(pre_comp[i][1][0], x_out); - felem_assign(pre_comp[i][1][1], y_out); - felem_assign(pre_comp[i][1][2], z_out); - for (j = 2; j <= 16; ++j) { - if (j & 1) { - point_add(pre_comp[i][j][0], pre_comp[i][j][1], - pre_comp[i][j][2], pre_comp[i][1][0], - pre_comp[i][1][1], pre_comp[i][1][2], 0, - pre_comp[i][j - 1][0], - pre_comp[i][j - 1][1], - pre_comp[i][j - 1][2]); - } else { - point_double(pre_comp[i][j][0], pre_comp[i][j][1], - pre_comp[i][j][2], pre_comp[i][j / 2][0], - pre_comp[i][j / 2][1], - pre_comp[i][j / 2][2]); - } - } - } - } - if (mixed) - make_points_affine(num_points * 17, pre_comp[0], tmp_felems); - } - - /* the scalar for the generator */ - if ((scalar != NULL) && (have_pre_comp)) { - memset(g_secret, 0, sizeof g_secret); - /* reduce scalar to 0 <= scalar < 2^224 */ - if ((BN_num_bits(scalar) > 224) || (BN_is_negative(scalar))) { - /* - * this is an unusual input, and we don't guarantee - * constant-timeness - */ - if (!BN_nnmod(tmp_scalar, scalar, &group->order, ctx)) { - ECerr(EC_F_EC_GFP_NISTP224_POINTS_MUL, ERR_R_BN_LIB); - goto err; - } - num_bytes = BN_bn2bin(tmp_scalar, tmp); - } else - num_bytes = BN_bn2bin(scalar, tmp); - flip_endian(g_secret, tmp, num_bytes); - /* do the multiplication with generator precomputation */ - batch_mul(x_out, y_out, z_out, - (const felem_bytearray(*))secrets, num_points, - g_secret, - mixed, (const felem(*)[17][3])pre_comp, g_pre_comp); - } else - /* do the multiplication without generator precomputation */ - batch_mul(x_out, y_out, z_out, - (const felem_bytearray(*))secrets, num_points, - NULL, mixed, (const felem(*)[17][3])pre_comp, NULL); - /* reduce the output to its unique minimal representation */ - felem_contract(x_in, x_out); - felem_contract(y_in, y_out); - felem_contract(z_in, z_out); - if ((!felem_to_BN(x, x_in)) || (!felem_to_BN(y, y_in)) || - (!felem_to_BN(z, z_in))) { - ECerr(EC_F_EC_GFP_NISTP224_POINTS_MUL, ERR_R_BN_LIB); - goto err; - } - ret = EC_POINT_set_Jprojective_coordinates_GFp(group, r, x, y, z, ctx); - - err: - BN_CTX_end(ctx); - if (generator != NULL) - EC_POINT_free(generator); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - if (secrets != NULL) - OPENSSL_free(secrets); - if (pre_comp != NULL) - OPENSSL_free(pre_comp); - if (tmp_felems != NULL) - OPENSSL_free(tmp_felems); - return ret; -} - -int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx) -{ - int ret = 0; - NISTP224_PRE_COMP *pre = NULL; - int i, j; - BN_CTX *new_ctx = NULL; - BIGNUM *x, *y; - EC_POINT *generator = NULL; - felem tmp_felems[32]; - - /* throw away old precomputation */ - EC_EX_DATA_free_data(&group->extra_data, nistp224_pre_comp_dup, - nistp224_pre_comp_free, - nistp224_pre_comp_clear_free); - if (ctx == NULL) - if ((ctx = new_ctx = BN_CTX_new()) == NULL) - return 0; - BN_CTX_start(ctx); - if (((x = BN_CTX_get(ctx)) == NULL) || ((y = BN_CTX_get(ctx)) == NULL)) - goto err; - /* get the generator */ - if (group->generator == NULL) - goto err; - generator = EC_POINT_new(group); - if (generator == NULL) - goto err; - BN_bin2bn(nistp224_curve_params[3], sizeof(felem_bytearray), x); - BN_bin2bn(nistp224_curve_params[4], sizeof(felem_bytearray), y); - if (!EC_POINT_set_affine_coordinates_GFp(group, generator, x, y, ctx)) - goto err; - if ((pre = nistp224_pre_comp_new()) == NULL) - goto err; - /* - * if the generator is the standard one, use built-in precomputation - */ - if (0 == EC_POINT_cmp(group, generator, group->generator, ctx)) { - memcpy(pre->g_pre_comp, gmul, sizeof(pre->g_pre_comp)); - goto done; - } - if ((!BN_to_felem(pre->g_pre_comp[0][1][0], &group->generator->X)) || - (!BN_to_felem(pre->g_pre_comp[0][1][1], &group->generator->Y)) || - (!BN_to_felem(pre->g_pre_comp[0][1][2], &group->generator->Z))) - goto err; - /* - * compute 2^56*G, 2^112*G, 2^168*G for the first table, 2^28*G, 2^84*G, - * 2^140*G, 2^196*G for the second one - */ - for (i = 1; i <= 8; i <<= 1) { - point_double(pre->g_pre_comp[1][i][0], pre->g_pre_comp[1][i][1], - pre->g_pre_comp[1][i][2], pre->g_pre_comp[0][i][0], - pre->g_pre_comp[0][i][1], pre->g_pre_comp[0][i][2]); - for (j = 0; j < 27; ++j) { - point_double(pre->g_pre_comp[1][i][0], pre->g_pre_comp[1][i][1], - pre->g_pre_comp[1][i][2], pre->g_pre_comp[1][i][0], - pre->g_pre_comp[1][i][1], pre->g_pre_comp[1][i][2]); - } - if (i == 8) - break; - point_double(pre->g_pre_comp[0][2 * i][0], - pre->g_pre_comp[0][2 * i][1], - pre->g_pre_comp[0][2 * i][2], pre->g_pre_comp[1][i][0], - pre->g_pre_comp[1][i][1], pre->g_pre_comp[1][i][2]); - for (j = 0; j < 27; ++j) { - point_double(pre->g_pre_comp[0][2 * i][0], - pre->g_pre_comp[0][2 * i][1], - pre->g_pre_comp[0][2 * i][2], - pre->g_pre_comp[0][2 * i][0], - pre->g_pre_comp[0][2 * i][1], - pre->g_pre_comp[0][2 * i][2]); - } - } - for (i = 0; i < 2; i++) { - /* g_pre_comp[i][0] is the point at infinity */ - memset(pre->g_pre_comp[i][0], 0, sizeof(pre->g_pre_comp[i][0])); - /* the remaining multiples */ - /* 2^56*G + 2^112*G resp. 2^84*G + 2^140*G */ - point_add(pre->g_pre_comp[i][6][0], pre->g_pre_comp[i][6][1], - pre->g_pre_comp[i][6][2], pre->g_pre_comp[i][4][0], - pre->g_pre_comp[i][4][1], pre->g_pre_comp[i][4][2], - 0, pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1], - pre->g_pre_comp[i][2][2]); - /* 2^56*G + 2^168*G resp. 2^84*G + 2^196*G */ - point_add(pre->g_pre_comp[i][10][0], pre->g_pre_comp[i][10][1], - pre->g_pre_comp[i][10][2], pre->g_pre_comp[i][8][0], - pre->g_pre_comp[i][8][1], pre->g_pre_comp[i][8][2], - 0, pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1], - pre->g_pre_comp[i][2][2]); - /* 2^112*G + 2^168*G resp. 2^140*G + 2^196*G */ - point_add(pre->g_pre_comp[i][12][0], pre->g_pre_comp[i][12][1], - pre->g_pre_comp[i][12][2], pre->g_pre_comp[i][8][0], - pre->g_pre_comp[i][8][1], pre->g_pre_comp[i][8][2], - 0, pre->g_pre_comp[i][4][0], pre->g_pre_comp[i][4][1], - pre->g_pre_comp[i][4][2]); - /* - * 2^56*G + 2^112*G + 2^168*G resp. 2^84*G + 2^140*G + 2^196*G - */ - point_add(pre->g_pre_comp[i][14][0], pre->g_pre_comp[i][14][1], - pre->g_pre_comp[i][14][2], pre->g_pre_comp[i][12][0], - pre->g_pre_comp[i][12][1], pre->g_pre_comp[i][12][2], - 0, pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1], - pre->g_pre_comp[i][2][2]); - for (j = 1; j < 8; ++j) { - /* odd multiples: add G resp. 2^28*G */ - point_add(pre->g_pre_comp[i][2 * j + 1][0], - pre->g_pre_comp[i][2 * j + 1][1], - pre->g_pre_comp[i][2 * j + 1][2], - pre->g_pre_comp[i][2 * j][0], - pre->g_pre_comp[i][2 * j][1], - pre->g_pre_comp[i][2 * j][2], 0, - pre->g_pre_comp[i][1][0], pre->g_pre_comp[i][1][1], - pre->g_pre_comp[i][1][2]); - } - } - make_points_affine(31, &(pre->g_pre_comp[0][1]), tmp_felems); - - done: - if (!EC_EX_DATA_set_data(&group->extra_data, pre, nistp224_pre_comp_dup, - nistp224_pre_comp_free, - nistp224_pre_comp_clear_free)) - goto err; - ret = 1; - pre = NULL; - err: - BN_CTX_end(ctx); - if (generator != NULL) - EC_POINT_free(generator); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - if (pre) - nistp224_pre_comp_free(pre); - return ret; -} - -int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group) -{ - if (EC_EX_DATA_get_data(group->extra_data, nistp224_pre_comp_dup, - nistp224_pre_comp_free, - nistp224_pre_comp_clear_free) - != NULL) - return 1; - else - return 0; -} - -#else -static void *dummy = &dummy; -#endif diff --git a/thirdparty/openssl/crypto/ec/ecp_nistp256.c b/thirdparty/openssl/crypto/ec/ecp_nistp256.c deleted file mode 100644 index 78d191aac7..0000000000 --- a/thirdparty/openssl/crypto/ec/ecp_nistp256.c +++ /dev/null @@ -1,2369 +0,0 @@ -/* crypto/ec/ecp_nistp256.c */ -/* - * Written by Adam Langley (Google) for the OpenSSL project - */ -/* Copyright 2011 Google Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -/* - * A 64-bit implementation of the NIST P-256 elliptic curve point multiplication - * - * OpenSSL integration was taken from Emilia Kasper's work in ecp_nistp224.c. - * Otherwise based on Emilia's P224 work, which was inspired by my curve25519 - * work which got its smarts from Daniel J. Bernstein's work on the same. - */ - -#include <openssl/opensslconf.h> -#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 - -# ifndef OPENSSL_SYS_VMS -# include <stdint.h> -# else -# include <inttypes.h> -# endif - -# include <string.h> -# include <openssl/err.h> -# include "ec_lcl.h" - -# if defined(__GNUC__) && (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 1)) - /* even with gcc, the typedef won't work for 32-bit platforms */ -typedef __uint128_t uint128_t; /* nonstandard; implemented by gcc on 64-bit - * platforms */ -typedef __int128_t int128_t; -# else -# error "Need GCC 3.1 or later to define type uint128_t" -# endif - -typedef uint8_t u8; -typedef uint32_t u32; -typedef uint64_t u64; -typedef int64_t s64; - -/* - * The underlying field. P256 operates over GF(2^256-2^224+2^192+2^96-1). We - * can serialise an element of this field into 32 bytes. We call this an - * felem_bytearray. - */ - -typedef u8 felem_bytearray[32]; - -/* - * These are the parameters of P256, taken from FIPS 186-3, page 86. These - * values are big-endian. - */ -static const felem_bytearray nistp256_curve_params[5] = { - {0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, /* p */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}, - {0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x01, /* a = -3 */ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfc}, /* b */ - {0x5a, 0xc6, 0x35, 0xd8, 0xaa, 0x3a, 0x93, 0xe7, - 0xb3, 0xeb, 0xbd, 0x55, 0x76, 0x98, 0x86, 0xbc, - 0x65, 0x1d, 0x06, 0xb0, 0xcc, 0x53, 0xb0, 0xf6, - 0x3b, 0xce, 0x3c, 0x3e, 0x27, 0xd2, 0x60, 0x4b}, - {0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, 0x42, 0x47, /* x */ - 0xf8, 0xbc, 0xe6, 0xe5, 0x63, 0xa4, 0x40, 0xf2, - 0x77, 0x03, 0x7d, 0x81, 0x2d, 0xeb, 0x33, 0xa0, - 0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98, 0xc2, 0x96}, - {0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b, /* y */ - 0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16, - 0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce, - 0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5} -}; - -/*- - * The representation of field elements. - * ------------------------------------ - * - * We represent field elements with either four 128-bit values, eight 128-bit - * values, or four 64-bit values. The field element represented is: - * v[0]*2^0 + v[1]*2^64 + v[2]*2^128 + v[3]*2^192 (mod p) - * or: - * v[0]*2^0 + v[1]*2^64 + v[2]*2^128 + ... + v[8]*2^512 (mod p) - * - * 128-bit values are called 'limbs'. Since the limbs are spaced only 64 bits - * apart, but are 128-bits wide, the most significant bits of each limb overlap - * with the least significant bits of the next. - * - * A field element with four limbs is an 'felem'. One with eight limbs is a - * 'longfelem' - * - * A field element with four, 64-bit values is called a 'smallfelem'. Small - * values are used as intermediate values before multiplication. - */ - -# define NLIMBS 4 - -typedef uint128_t limb; -typedef limb felem[NLIMBS]; -typedef limb longfelem[NLIMBS * 2]; -typedef u64 smallfelem[NLIMBS]; - -/* This is the value of the prime as four 64-bit words, little-endian. */ -static const u64 kPrime[4] = - { 0xfffffffffffffffful, 0xffffffff, 0, 0xffffffff00000001ul }; -static const u64 bottom63bits = 0x7ffffffffffffffful; - -/* - * bin32_to_felem takes a little-endian byte array and converts it into felem - * form. This assumes that the CPU is little-endian. - */ -static void bin32_to_felem(felem out, const u8 in[32]) -{ - out[0] = *((u64 *)&in[0]); - out[1] = *((u64 *)&in[8]); - out[2] = *((u64 *)&in[16]); - out[3] = *((u64 *)&in[24]); -} - -/* - * smallfelem_to_bin32 takes a smallfelem and serialises into a little - * endian, 32 byte array. This assumes that the CPU is little-endian. - */ -static void smallfelem_to_bin32(u8 out[32], const smallfelem in) -{ - *((u64 *)&out[0]) = in[0]; - *((u64 *)&out[8]) = in[1]; - *((u64 *)&out[16]) = in[2]; - *((u64 *)&out[24]) = in[3]; -} - -/* To preserve endianness when using BN_bn2bin and BN_bin2bn */ -static void flip_endian(u8 *out, const u8 *in, unsigned len) -{ - unsigned i; - for (i = 0; i < len; ++i) - out[i] = in[len - 1 - i]; -} - -/* BN_to_felem converts an OpenSSL BIGNUM into an felem */ -static int BN_to_felem(felem out, const BIGNUM *bn) -{ - felem_bytearray b_in; - felem_bytearray b_out; - unsigned num_bytes; - - /* BN_bn2bin eats leading zeroes */ - memset(b_out, 0, sizeof b_out); - num_bytes = BN_num_bytes(bn); - if (num_bytes > sizeof b_out) { - ECerr(EC_F_BN_TO_FELEM, EC_R_BIGNUM_OUT_OF_RANGE); - return 0; - } - if (BN_is_negative(bn)) { - ECerr(EC_F_BN_TO_FELEM, EC_R_BIGNUM_OUT_OF_RANGE); - return 0; - } - num_bytes = BN_bn2bin(bn, b_in); - flip_endian(b_out, b_in, num_bytes); - bin32_to_felem(out, b_out); - return 1; -} - -/* felem_to_BN converts an felem into an OpenSSL BIGNUM */ -static BIGNUM *smallfelem_to_BN(BIGNUM *out, const smallfelem in) -{ - felem_bytearray b_in, b_out; - smallfelem_to_bin32(b_in, in); - flip_endian(b_out, b_in, sizeof b_out); - return BN_bin2bn(b_out, sizeof b_out, out); -} - -/*- - * Field operations - * ---------------- - */ - -static void smallfelem_one(smallfelem out) -{ - out[0] = 1; - out[1] = 0; - out[2] = 0; - out[3] = 0; -} - -static void smallfelem_assign(smallfelem out, const smallfelem in) -{ - out[0] = in[0]; - out[1] = in[1]; - out[2] = in[2]; - out[3] = in[3]; -} - -static void felem_assign(felem out, const felem in) -{ - out[0] = in[0]; - out[1] = in[1]; - out[2] = in[2]; - out[3] = in[3]; -} - -/* felem_sum sets out = out + in. */ -static void felem_sum(felem out, const felem in) -{ - out[0] += in[0]; - out[1] += in[1]; - out[2] += in[2]; - out[3] += in[3]; -} - -/* felem_small_sum sets out = out + in. */ -static void felem_small_sum(felem out, const smallfelem in) -{ - out[0] += in[0]; - out[1] += in[1]; - out[2] += in[2]; - out[3] += in[3]; -} - -/* felem_scalar sets out = out * scalar */ -static void felem_scalar(felem out, const u64 scalar) -{ - out[0] *= scalar; - out[1] *= scalar; - out[2] *= scalar; - out[3] *= scalar; -} - -/* longfelem_scalar sets out = out * scalar */ -static void longfelem_scalar(longfelem out, const u64 scalar) -{ - out[0] *= scalar; - out[1] *= scalar; - out[2] *= scalar; - out[3] *= scalar; - out[4] *= scalar; - out[5] *= scalar; - out[6] *= scalar; - out[7] *= scalar; -} - -# define two105m41m9 (((limb)1) << 105) - (((limb)1) << 41) - (((limb)1) << 9) -# define two105 (((limb)1) << 105) -# define two105m41p9 (((limb)1) << 105) - (((limb)1) << 41) + (((limb)1) << 9) - -/* zero105 is 0 mod p */ -static const felem zero105 = - { two105m41m9, two105, two105m41p9, two105m41p9 }; - -/*- - * smallfelem_neg sets |out| to |-small| - * On exit: - * out[i] < out[i] + 2^105 - */ -static void smallfelem_neg(felem out, const smallfelem small) -{ - /* In order to prevent underflow, we subtract from 0 mod p. */ - out[0] = zero105[0] - small[0]; - out[1] = zero105[1] - small[1]; - out[2] = zero105[2] - small[2]; - out[3] = zero105[3] - small[3]; -} - -/*- - * felem_diff subtracts |in| from |out| - * On entry: - * in[i] < 2^104 - * On exit: - * out[i] < out[i] + 2^105 - */ -static void felem_diff(felem out, const felem in) -{ - /* - * In order to prevent underflow, we add 0 mod p before subtracting. - */ - out[0] += zero105[0]; - out[1] += zero105[1]; - out[2] += zero105[2]; - out[3] += zero105[3]; - - out[0] -= in[0]; - out[1] -= in[1]; - out[2] -= in[2]; - out[3] -= in[3]; -} - -# define two107m43m11 (((limb)1) << 107) - (((limb)1) << 43) - (((limb)1) << 11) -# define two107 (((limb)1) << 107) -# define two107m43p11 (((limb)1) << 107) - (((limb)1) << 43) + (((limb)1) << 11) - -/* zero107 is 0 mod p */ -static const felem zero107 = - { two107m43m11, two107, two107m43p11, two107m43p11 }; - -/*- - * An alternative felem_diff for larger inputs |in| - * felem_diff_zero107 subtracts |in| from |out| - * On entry: - * in[i] < 2^106 - * On exit: - * out[i] < out[i] + 2^107 - */ -static void felem_diff_zero107(felem out, const felem in) -{ - /* - * In order to prevent underflow, we add 0 mod p before subtracting. - */ - out[0] += zero107[0]; - out[1] += zero107[1]; - out[2] += zero107[2]; - out[3] += zero107[3]; - - out[0] -= in[0]; - out[1] -= in[1]; - out[2] -= in[2]; - out[3] -= in[3]; -} - -/*- - * longfelem_diff subtracts |in| from |out| - * On entry: - * in[i] < 7*2^67 - * On exit: - * out[i] < out[i] + 2^70 + 2^40 - */ -static void longfelem_diff(longfelem out, const longfelem in) -{ - static const limb two70m8p6 = - (((limb) 1) << 70) - (((limb) 1) << 8) + (((limb) 1) << 6); - static const limb two70p40 = (((limb) 1) << 70) + (((limb) 1) << 40); - static const limb two70 = (((limb) 1) << 70); - static const limb two70m40m38p6 = - (((limb) 1) << 70) - (((limb) 1) << 40) - (((limb) 1) << 38) + - (((limb) 1) << 6); - static const limb two70m6 = (((limb) 1) << 70) - (((limb) 1) << 6); - - /* add 0 mod p to avoid underflow */ - out[0] += two70m8p6; - out[1] += two70p40; - out[2] += two70; - out[3] += two70m40m38p6; - out[4] += two70m6; - out[5] += two70m6; - out[6] += two70m6; - out[7] += two70m6; - - /* in[i] < 7*2^67 < 2^70 - 2^40 - 2^38 + 2^6 */ - out[0] -= in[0]; - out[1] -= in[1]; - out[2] -= in[2]; - out[3] -= in[3]; - out[4] -= in[4]; - out[5] -= in[5]; - out[6] -= in[6]; - out[7] -= in[7]; -} - -# define two64m0 (((limb)1) << 64) - 1 -# define two110p32m0 (((limb)1) << 110) + (((limb)1) << 32) - 1 -# define two64m46 (((limb)1) << 64) - (((limb)1) << 46) -# define two64m32 (((limb)1) << 64) - (((limb)1) << 32) - -/* zero110 is 0 mod p */ -static const felem zero110 = { two64m0, two110p32m0, two64m46, two64m32 }; - -/*- - * felem_shrink converts an felem into a smallfelem. The result isn't quite - * minimal as the value may be greater than p. - * - * On entry: - * in[i] < 2^109 - * On exit: - * out[i] < 2^64 - */ -static void felem_shrink(smallfelem out, const felem in) -{ - felem tmp; - u64 a, b, mask; - s64 high, low; - static const u64 kPrime3Test = 0x7fffffff00000001ul; /* 2^63 - 2^32 + 1 */ - - /* Carry 2->3 */ - tmp[3] = zero110[3] + in[3] + ((u64)(in[2] >> 64)); - /* tmp[3] < 2^110 */ - - tmp[2] = zero110[2] + (u64)in[2]; - tmp[0] = zero110[0] + in[0]; - tmp[1] = zero110[1] + in[1]; - /* tmp[0] < 2**110, tmp[1] < 2^111, tmp[2] < 2**65 */ - - /* - * We perform two partial reductions where we eliminate the high-word of - * tmp[3]. We don't update the other words till the end. - */ - a = tmp[3] >> 64; /* a < 2^46 */ - tmp[3] = (u64)tmp[3]; - tmp[3] -= a; - tmp[3] += ((limb) a) << 32; - /* tmp[3] < 2^79 */ - - b = a; - a = tmp[3] >> 64; /* a < 2^15 */ - b += a; /* b < 2^46 + 2^15 < 2^47 */ - tmp[3] = (u64)tmp[3]; - tmp[3] -= a; - tmp[3] += ((limb) a) << 32; - /* tmp[3] < 2^64 + 2^47 */ - - /* - * This adjusts the other two words to complete the two partial - * reductions. - */ - tmp[0] += b; - tmp[1] -= (((limb) b) << 32); - - /* - * In order to make space in tmp[3] for the carry from 2 -> 3, we - * conditionally subtract kPrime if tmp[3] is large enough. - */ - high = tmp[3] >> 64; - /* As tmp[3] < 2^65, high is either 1 or 0 */ - high <<= 63; - high >>= 63; - /*- - * high is: - * all ones if the high word of tmp[3] is 1 - * all zeros if the high word of tmp[3] if 0 */ - low = tmp[3]; - mask = low >> 63; - /*- - * mask is: - * all ones if the MSB of low is 1 - * all zeros if the MSB of low if 0 */ - low &= bottom63bits; - low -= kPrime3Test; - /* if low was greater than kPrime3Test then the MSB is zero */ - low = ~low; - low >>= 63; - /*- - * low is: - * all ones if low was > kPrime3Test - * all zeros if low was <= kPrime3Test */ - mask = (mask & low) | high; - tmp[0] -= mask & kPrime[0]; - tmp[1] -= mask & kPrime[1]; - /* kPrime[2] is zero, so omitted */ - tmp[3] -= mask & kPrime[3]; - /* tmp[3] < 2**64 - 2**32 + 1 */ - - tmp[1] += ((u64)(tmp[0] >> 64)); - tmp[0] = (u64)tmp[0]; - tmp[2] += ((u64)(tmp[1] >> 64)); - tmp[1] = (u64)tmp[1]; - tmp[3] += ((u64)(tmp[2] >> 64)); - tmp[2] = (u64)tmp[2]; - /* tmp[i] < 2^64 */ - - out[0] = tmp[0]; - out[1] = tmp[1]; - out[2] = tmp[2]; - out[3] = tmp[3]; -} - -/* smallfelem_expand converts a smallfelem to an felem */ -static void smallfelem_expand(felem out, const smallfelem in) -{ - out[0] = in[0]; - out[1] = in[1]; - out[2] = in[2]; - out[3] = in[3]; -} - -/*- - * smallfelem_square sets |out| = |small|^2 - * On entry: - * small[i] < 2^64 - * On exit: - * out[i] < 7 * 2^64 < 2^67 - */ -static void smallfelem_square(longfelem out, const smallfelem small) -{ - limb a; - u64 high, low; - - a = ((uint128_t) small[0]) * small[0]; - low = a; - high = a >> 64; - out[0] = low; - out[1] = high; - - a = ((uint128_t) small[0]) * small[1]; - low = a; - high = a >> 64; - out[1] += low; - out[1] += low; - out[2] = high; - - a = ((uint128_t) small[0]) * small[2]; - low = a; - high = a >> 64; - out[2] += low; - out[2] *= 2; - out[3] = high; - - a = ((uint128_t) small[0]) * small[3]; - low = a; - high = a >> 64; - out[3] += low; - out[4] = high; - - a = ((uint128_t) small[1]) * small[2]; - low = a; - high = a >> 64; - out[3] += low; - out[3] *= 2; - out[4] += high; - - a = ((uint128_t) small[1]) * small[1]; - low = a; - high = a >> 64; - out[2] += low; - out[3] += high; - - a = ((uint128_t) small[1]) * small[3]; - low = a; - high = a >> 64; - out[4] += low; - out[4] *= 2; - out[5] = high; - - a = ((uint128_t) small[2]) * small[3]; - low = a; - high = a >> 64; - out[5] += low; - out[5] *= 2; - out[6] = high; - out[6] += high; - - a = ((uint128_t) small[2]) * small[2]; - low = a; - high = a >> 64; - out[4] += low; - out[5] += high; - - a = ((uint128_t) small[3]) * small[3]; - low = a; - high = a >> 64; - out[6] += low; - out[7] = high; -} - -/*- - * felem_square sets |out| = |in|^2 - * On entry: - * in[i] < 2^109 - * On exit: - * out[i] < 7 * 2^64 < 2^67 - */ -static void felem_square(longfelem out, const felem in) -{ - u64 small[4]; - felem_shrink(small, in); - smallfelem_square(out, small); -} - -/*- - * smallfelem_mul sets |out| = |small1| * |small2| - * On entry: - * small1[i] < 2^64 - * small2[i] < 2^64 - * On exit: - * out[i] < 7 * 2^64 < 2^67 - */ -static void smallfelem_mul(longfelem out, const smallfelem small1, - const smallfelem small2) -{ - limb a; - u64 high, low; - - a = ((uint128_t) small1[0]) * small2[0]; - low = a; - high = a >> 64; - out[0] = low; - out[1] = high; - - a = ((uint128_t) small1[0]) * small2[1]; - low = a; - high = a >> 64; - out[1] += low; - out[2] = high; - - a = ((uint128_t) small1[1]) * small2[0]; - low = a; - high = a >> 64; - out[1] += low; - out[2] += high; - - a = ((uint128_t) small1[0]) * small2[2]; - low = a; - high = a >> 64; - out[2] += low; - out[3] = high; - - a = ((uint128_t) small1[1]) * small2[1]; - low = a; - high = a >> 64; - out[2] += low; - out[3] += high; - - a = ((uint128_t) small1[2]) * small2[0]; - low = a; - high = a >> 64; - out[2] += low; - out[3] += high; - - a = ((uint128_t) small1[0]) * small2[3]; - low = a; - high = a >> 64; - out[3] += low; - out[4] = high; - - a = ((uint128_t) small1[1]) * small2[2]; - low = a; - high = a >> 64; - out[3] += low; - out[4] += high; - - a = ((uint128_t) small1[2]) * small2[1]; - low = a; - high = a >> 64; - out[3] += low; - out[4] += high; - - a = ((uint128_t) small1[3]) * small2[0]; - low = a; - high = a >> 64; - out[3] += low; - out[4] += high; - - a = ((uint128_t) small1[1]) * small2[3]; - low = a; - high = a >> 64; - out[4] += low; - out[5] = high; - - a = ((uint128_t) small1[2]) * small2[2]; - low = a; - high = a >> 64; - out[4] += low; - out[5] += high; - - a = ((uint128_t) small1[3]) * small2[1]; - low = a; - high = a >> 64; - out[4] += low; - out[5] += high; - - a = ((uint128_t) small1[2]) * small2[3]; - low = a; - high = a >> 64; - out[5] += low; - out[6] = high; - - a = ((uint128_t) small1[3]) * small2[2]; - low = a; - high = a >> 64; - out[5] += low; - out[6] += high; - - a = ((uint128_t) small1[3]) * small2[3]; - low = a; - high = a >> 64; - out[6] += low; - out[7] = high; -} - -/*- - * felem_mul sets |out| = |in1| * |in2| - * On entry: - * in1[i] < 2^109 - * in2[i] < 2^109 - * On exit: - * out[i] < 7 * 2^64 < 2^67 - */ -static void felem_mul(longfelem out, const felem in1, const felem in2) -{ - smallfelem small1, small2; - felem_shrink(small1, in1); - felem_shrink(small2, in2); - smallfelem_mul(out, small1, small2); -} - -/*- - * felem_small_mul sets |out| = |small1| * |in2| - * On entry: - * small1[i] < 2^64 - * in2[i] < 2^109 - * On exit: - * out[i] < 7 * 2^64 < 2^67 - */ -static void felem_small_mul(longfelem out, const smallfelem small1, - const felem in2) -{ - smallfelem small2; - felem_shrink(small2, in2); - smallfelem_mul(out, small1, small2); -} - -# define two100m36m4 (((limb)1) << 100) - (((limb)1) << 36) - (((limb)1) << 4) -# define two100 (((limb)1) << 100) -# define two100m36p4 (((limb)1) << 100) - (((limb)1) << 36) + (((limb)1) << 4) -/* zero100 is 0 mod p */ -static const felem zero100 = - { two100m36m4, two100, two100m36p4, two100m36p4 }; - -/*- - * Internal function for the different flavours of felem_reduce. - * felem_reduce_ reduces the higher coefficients in[4]-in[7]. - * On entry: - * out[0] >= in[6] + 2^32*in[6] + in[7] + 2^32*in[7] - * out[1] >= in[7] + 2^32*in[4] - * out[2] >= in[5] + 2^32*in[5] - * out[3] >= in[4] + 2^32*in[5] + 2^32*in[6] - * On exit: - * out[0] <= out[0] + in[4] + 2^32*in[5] - * out[1] <= out[1] + in[5] + 2^33*in[6] - * out[2] <= out[2] + in[7] + 2*in[6] + 2^33*in[7] - * out[3] <= out[3] + 2^32*in[4] + 3*in[7] - */ -static void felem_reduce_(felem out, const longfelem in) -{ - int128_t c; - /* combine common terms from below */ - c = in[4] + (in[5] << 32); - out[0] += c; - out[3] -= c; - - c = in[5] - in[7]; - out[1] += c; - out[2] -= c; - - /* the remaining terms */ - /* 256: [(0,1),(96,-1),(192,-1),(224,1)] */ - out[1] -= (in[4] << 32); - out[3] += (in[4] << 32); - - /* 320: [(32,1),(64,1),(128,-1),(160,-1),(224,-1)] */ - out[2] -= (in[5] << 32); - - /* 384: [(0,-1),(32,-1),(96,2),(128,2),(224,-1)] */ - out[0] -= in[6]; - out[0] -= (in[6] << 32); - out[1] += (in[6] << 33); - out[2] += (in[6] * 2); - out[3] -= (in[6] << 32); - - /* 448: [(0,-1),(32,-1),(64,-1),(128,1),(160,2),(192,3)] */ - out[0] -= in[7]; - out[0] -= (in[7] << 32); - out[2] += (in[7] << 33); - out[3] += (in[7] * 3); -} - -/*- - * felem_reduce converts a longfelem into an felem. - * To be called directly after felem_square or felem_mul. - * On entry: - * in[0] < 2^64, in[1] < 3*2^64, in[2] < 5*2^64, in[3] < 7*2^64 - * in[4] < 7*2^64, in[5] < 5*2^64, in[6] < 3*2^64, in[7] < 2*64 - * On exit: - * out[i] < 2^101 - */ -static void felem_reduce(felem out, const longfelem in) -{ - out[0] = zero100[0] + in[0]; - out[1] = zero100[1] + in[1]; - out[2] = zero100[2] + in[2]; - out[3] = zero100[3] + in[3]; - - felem_reduce_(out, in); - - /*- - * out[0] > 2^100 - 2^36 - 2^4 - 3*2^64 - 3*2^96 - 2^64 - 2^96 > 0 - * out[1] > 2^100 - 2^64 - 7*2^96 > 0 - * out[2] > 2^100 - 2^36 + 2^4 - 5*2^64 - 5*2^96 > 0 - * out[3] > 2^100 - 2^36 + 2^4 - 7*2^64 - 5*2^96 - 3*2^96 > 0 - * - * out[0] < 2^100 + 2^64 + 7*2^64 + 5*2^96 < 2^101 - * out[1] < 2^100 + 3*2^64 + 5*2^64 + 3*2^97 < 2^101 - * out[2] < 2^100 + 5*2^64 + 2^64 + 3*2^65 + 2^97 < 2^101 - * out[3] < 2^100 + 7*2^64 + 7*2^96 + 3*2^64 < 2^101 - */ -} - -/*- - * felem_reduce_zero105 converts a larger longfelem into an felem. - * On entry: - * in[0] < 2^71 - * On exit: - * out[i] < 2^106 - */ -static void felem_reduce_zero105(felem out, const longfelem in) -{ - out[0] = zero105[0] + in[0]; - out[1] = zero105[1] + in[1]; - out[2] = zero105[2] + in[2]; - out[3] = zero105[3] + in[3]; - - felem_reduce_(out, in); - - /*- - * out[0] > 2^105 - 2^41 - 2^9 - 2^71 - 2^103 - 2^71 - 2^103 > 0 - * out[1] > 2^105 - 2^71 - 2^103 > 0 - * out[2] > 2^105 - 2^41 + 2^9 - 2^71 - 2^103 > 0 - * out[3] > 2^105 - 2^41 + 2^9 - 2^71 - 2^103 - 2^103 > 0 - * - * out[0] < 2^105 + 2^71 + 2^71 + 2^103 < 2^106 - * out[1] < 2^105 + 2^71 + 2^71 + 2^103 < 2^106 - * out[2] < 2^105 + 2^71 + 2^71 + 2^71 + 2^103 < 2^106 - * out[3] < 2^105 + 2^71 + 2^103 + 2^71 < 2^106 - */ -} - -/* - * subtract_u64 sets *result = *result - v and *carry to one if the - * subtraction underflowed. - */ -static void subtract_u64(u64 *result, u64 *carry, u64 v) -{ - uint128_t r = *result; - r -= v; - *carry = (r >> 64) & 1; - *result = (u64)r; -} - -/* - * felem_contract converts |in| to its unique, minimal representation. On - * entry: in[i] < 2^109 - */ -static void felem_contract(smallfelem out, const felem in) -{ - unsigned i; - u64 all_equal_so_far = 0, result = 0, carry; - - felem_shrink(out, in); - /* small is minimal except that the value might be > p */ - - all_equal_so_far--; - /* - * We are doing a constant time test if out >= kPrime. We need to compare - * each u64, from most-significant to least significant. For each one, if - * all words so far have been equal (m is all ones) then a non-equal - * result is the answer. Otherwise we continue. - */ - for (i = 3; i < 4; i--) { - u64 equal; - uint128_t a = ((uint128_t) kPrime[i]) - out[i]; - /* - * if out[i] > kPrime[i] then a will underflow and the high 64-bits - * will all be set. - */ - result |= all_equal_so_far & ((u64)(a >> 64)); - - /* - * if kPrime[i] == out[i] then |equal| will be all zeros and the - * decrement will make it all ones. - */ - equal = kPrime[i] ^ out[i]; - equal--; - equal &= equal << 32; - equal &= equal << 16; - equal &= equal << 8; - equal &= equal << 4; - equal &= equal << 2; - equal &= equal << 1; - equal = ((s64) equal) >> 63; - - all_equal_so_far &= equal; - } - - /* - * if all_equal_so_far is still all ones then the two values are equal - * and so out >= kPrime is true. - */ - result |= all_equal_so_far; - - /* if out >= kPrime then we subtract kPrime. */ - subtract_u64(&out[0], &carry, result & kPrime[0]); - subtract_u64(&out[1], &carry, carry); - subtract_u64(&out[2], &carry, carry); - subtract_u64(&out[3], &carry, carry); - - subtract_u64(&out[1], &carry, result & kPrime[1]); - subtract_u64(&out[2], &carry, carry); - subtract_u64(&out[3], &carry, carry); - - subtract_u64(&out[2], &carry, result & kPrime[2]); - subtract_u64(&out[3], &carry, carry); - - subtract_u64(&out[3], &carry, result & kPrime[3]); -} - -static void smallfelem_square_contract(smallfelem out, const smallfelem in) -{ - longfelem longtmp; - felem tmp; - - smallfelem_square(longtmp, in); - felem_reduce(tmp, longtmp); - felem_contract(out, tmp); -} - -static void smallfelem_mul_contract(smallfelem out, const smallfelem in1, - const smallfelem in2) -{ - longfelem longtmp; - felem tmp; - - smallfelem_mul(longtmp, in1, in2); - felem_reduce(tmp, longtmp); - felem_contract(out, tmp); -} - -/*- - * felem_is_zero returns a limb with all bits set if |in| == 0 (mod p) and 0 - * otherwise. - * On entry: - * small[i] < 2^64 - */ -static limb smallfelem_is_zero(const smallfelem small) -{ - limb result; - u64 is_p; - - u64 is_zero = small[0] | small[1] | small[2] | small[3]; - is_zero--; - is_zero &= is_zero << 32; - is_zero &= is_zero << 16; - is_zero &= is_zero << 8; - is_zero &= is_zero << 4; - is_zero &= is_zero << 2; - is_zero &= is_zero << 1; - is_zero = ((s64) is_zero) >> 63; - - is_p = (small[0] ^ kPrime[0]) | - (small[1] ^ kPrime[1]) | - (small[2] ^ kPrime[2]) | (small[3] ^ kPrime[3]); - is_p--; - is_p &= is_p << 32; - is_p &= is_p << 16; - is_p &= is_p << 8; - is_p &= is_p << 4; - is_p &= is_p << 2; - is_p &= is_p << 1; - is_p = ((s64) is_p) >> 63; - - is_zero |= is_p; - - result = is_zero; - result |= ((limb) is_zero) << 64; - return result; -} - -static int smallfelem_is_zero_int(const smallfelem small) -{ - return (int)(smallfelem_is_zero(small) & ((limb) 1)); -} - -/*- - * felem_inv calculates |out| = |in|^{-1} - * - * Based on Fermat's Little Theorem: - * a^p = a (mod p) - * a^{p-1} = 1 (mod p) - * a^{p-2} = a^{-1} (mod p) - */ -static void felem_inv(felem out, const felem in) -{ - felem ftmp, ftmp2; - /* each e_I will hold |in|^{2^I - 1} */ - felem e2, e4, e8, e16, e32, e64; - longfelem tmp; - unsigned i; - - felem_square(tmp, in); - felem_reduce(ftmp, tmp); /* 2^1 */ - felem_mul(tmp, in, ftmp); - felem_reduce(ftmp, tmp); /* 2^2 - 2^0 */ - felem_assign(e2, ftmp); - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); /* 2^3 - 2^1 */ - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); /* 2^4 - 2^2 */ - felem_mul(tmp, ftmp, e2); - felem_reduce(ftmp, tmp); /* 2^4 - 2^0 */ - felem_assign(e4, ftmp); - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); /* 2^5 - 2^1 */ - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); /* 2^6 - 2^2 */ - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); /* 2^7 - 2^3 */ - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); /* 2^8 - 2^4 */ - felem_mul(tmp, ftmp, e4); - felem_reduce(ftmp, tmp); /* 2^8 - 2^0 */ - felem_assign(e8, ftmp); - for (i = 0; i < 8; i++) { - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); - } /* 2^16 - 2^8 */ - felem_mul(tmp, ftmp, e8); - felem_reduce(ftmp, tmp); /* 2^16 - 2^0 */ - felem_assign(e16, ftmp); - for (i = 0; i < 16; i++) { - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); - } /* 2^32 - 2^16 */ - felem_mul(tmp, ftmp, e16); - felem_reduce(ftmp, tmp); /* 2^32 - 2^0 */ - felem_assign(e32, ftmp); - for (i = 0; i < 32; i++) { - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); - } /* 2^64 - 2^32 */ - felem_assign(e64, ftmp); - felem_mul(tmp, ftmp, in); - felem_reduce(ftmp, tmp); /* 2^64 - 2^32 + 2^0 */ - for (i = 0; i < 192; i++) { - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); - } /* 2^256 - 2^224 + 2^192 */ - - felem_mul(tmp, e64, e32); - felem_reduce(ftmp2, tmp); /* 2^64 - 2^0 */ - for (i = 0; i < 16; i++) { - felem_square(tmp, ftmp2); - felem_reduce(ftmp2, tmp); - } /* 2^80 - 2^16 */ - felem_mul(tmp, ftmp2, e16); - felem_reduce(ftmp2, tmp); /* 2^80 - 2^0 */ - for (i = 0; i < 8; i++) { - felem_square(tmp, ftmp2); - felem_reduce(ftmp2, tmp); - } /* 2^88 - 2^8 */ - felem_mul(tmp, ftmp2, e8); - felem_reduce(ftmp2, tmp); /* 2^88 - 2^0 */ - for (i = 0; i < 4; i++) { - felem_square(tmp, ftmp2); - felem_reduce(ftmp2, tmp); - } /* 2^92 - 2^4 */ - felem_mul(tmp, ftmp2, e4); - felem_reduce(ftmp2, tmp); /* 2^92 - 2^0 */ - felem_square(tmp, ftmp2); - felem_reduce(ftmp2, tmp); /* 2^93 - 2^1 */ - felem_square(tmp, ftmp2); - felem_reduce(ftmp2, tmp); /* 2^94 - 2^2 */ - felem_mul(tmp, ftmp2, e2); - felem_reduce(ftmp2, tmp); /* 2^94 - 2^0 */ - felem_square(tmp, ftmp2); - felem_reduce(ftmp2, tmp); /* 2^95 - 2^1 */ - felem_square(tmp, ftmp2); - felem_reduce(ftmp2, tmp); /* 2^96 - 2^2 */ - felem_mul(tmp, ftmp2, in); - felem_reduce(ftmp2, tmp); /* 2^96 - 3 */ - - felem_mul(tmp, ftmp2, ftmp); - felem_reduce(out, tmp); /* 2^256 - 2^224 + 2^192 + 2^96 - 3 */ -} - -static void smallfelem_inv_contract(smallfelem out, const smallfelem in) -{ - felem tmp; - - smallfelem_expand(tmp, in); - felem_inv(tmp, tmp); - felem_contract(out, tmp); -} - -/*- - * Group operations - * ---------------- - * - * Building on top of the field operations we have the operations on the - * elliptic curve group itself. Points on the curve are represented in Jacobian - * coordinates - */ - -/*- - * point_double calculates 2*(x_in, y_in, z_in) - * - * The method is taken from: - * http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-dbl-2001-b - * - * Outputs can equal corresponding inputs, i.e., x_out == x_in is allowed. - * while x_out == y_in is not (maybe this works, but it's not tested). - */ -static void -point_double(felem x_out, felem y_out, felem z_out, - const felem x_in, const felem y_in, const felem z_in) -{ - longfelem tmp, tmp2; - felem delta, gamma, beta, alpha, ftmp, ftmp2; - smallfelem small1, small2; - - felem_assign(ftmp, x_in); - /* ftmp[i] < 2^106 */ - felem_assign(ftmp2, x_in); - /* ftmp2[i] < 2^106 */ - - /* delta = z^2 */ - felem_square(tmp, z_in); - felem_reduce(delta, tmp); - /* delta[i] < 2^101 */ - - /* gamma = y^2 */ - felem_square(tmp, y_in); - felem_reduce(gamma, tmp); - /* gamma[i] < 2^101 */ - felem_shrink(small1, gamma); - - /* beta = x*gamma */ - felem_small_mul(tmp, small1, x_in); - felem_reduce(beta, tmp); - /* beta[i] < 2^101 */ - - /* alpha = 3*(x-delta)*(x+delta) */ - felem_diff(ftmp, delta); - /* ftmp[i] < 2^105 + 2^106 < 2^107 */ - felem_sum(ftmp2, delta); - /* ftmp2[i] < 2^105 + 2^106 < 2^107 */ - felem_scalar(ftmp2, 3); - /* ftmp2[i] < 3 * 2^107 < 2^109 */ - felem_mul(tmp, ftmp, ftmp2); - felem_reduce(alpha, tmp); - /* alpha[i] < 2^101 */ - felem_shrink(small2, alpha); - - /* x' = alpha^2 - 8*beta */ - smallfelem_square(tmp, small2); - felem_reduce(x_out, tmp); - felem_assign(ftmp, beta); - felem_scalar(ftmp, 8); - /* ftmp[i] < 8 * 2^101 = 2^104 */ - felem_diff(x_out, ftmp); - /* x_out[i] < 2^105 + 2^101 < 2^106 */ - - /* z' = (y + z)^2 - gamma - delta */ - felem_sum(delta, gamma); - /* delta[i] < 2^101 + 2^101 = 2^102 */ - felem_assign(ftmp, y_in); - felem_sum(ftmp, z_in); - /* ftmp[i] < 2^106 + 2^106 = 2^107 */ - felem_square(tmp, ftmp); - felem_reduce(z_out, tmp); - felem_diff(z_out, delta); - /* z_out[i] < 2^105 + 2^101 < 2^106 */ - - /* y' = alpha*(4*beta - x') - 8*gamma^2 */ - felem_scalar(beta, 4); - /* beta[i] < 4 * 2^101 = 2^103 */ - felem_diff_zero107(beta, x_out); - /* beta[i] < 2^107 + 2^103 < 2^108 */ - felem_small_mul(tmp, small2, beta); - /* tmp[i] < 7 * 2^64 < 2^67 */ - smallfelem_square(tmp2, small1); - /* tmp2[i] < 7 * 2^64 */ - longfelem_scalar(tmp2, 8); - /* tmp2[i] < 8 * 7 * 2^64 = 7 * 2^67 */ - longfelem_diff(tmp, tmp2); - /* tmp[i] < 2^67 + 2^70 + 2^40 < 2^71 */ - felem_reduce_zero105(y_out, tmp); - /* y_out[i] < 2^106 */ -} - -/* - * point_double_small is the same as point_double, except that it operates on - * smallfelems - */ -static void -point_double_small(smallfelem x_out, smallfelem y_out, smallfelem z_out, - const smallfelem x_in, const smallfelem y_in, - const smallfelem z_in) -{ - felem felem_x_out, felem_y_out, felem_z_out; - felem felem_x_in, felem_y_in, felem_z_in; - - smallfelem_expand(felem_x_in, x_in); - smallfelem_expand(felem_y_in, y_in); - smallfelem_expand(felem_z_in, z_in); - point_double(felem_x_out, felem_y_out, felem_z_out, - felem_x_in, felem_y_in, felem_z_in); - felem_shrink(x_out, felem_x_out); - felem_shrink(y_out, felem_y_out); - felem_shrink(z_out, felem_z_out); -} - -/* copy_conditional copies in to out iff mask is all ones. */ -static void copy_conditional(felem out, const felem in, limb mask) -{ - unsigned i; - for (i = 0; i < NLIMBS; ++i) { - const limb tmp = mask & (in[i] ^ out[i]); - out[i] ^= tmp; - } -} - -/* copy_small_conditional copies in to out iff mask is all ones. */ -static void copy_small_conditional(felem out, const smallfelem in, limb mask) -{ - unsigned i; - const u64 mask64 = mask; - for (i = 0; i < NLIMBS; ++i) { - out[i] = ((limb) (in[i] & mask64)) | (out[i] & ~mask); - } -} - -/*- - * point_add calcuates (x1, y1, z1) + (x2, y2, z2) - * - * The method is taken from: - * http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#addition-add-2007-bl, - * adapted for mixed addition (z2 = 1, or z2 = 0 for the point at infinity). - * - * This function includes a branch for checking whether the two input points - * are equal, (while not equal to the point at infinity). This case never - * happens during single point multiplication, so there is no timing leak for - * ECDH or ECDSA signing. - */ -static void point_add(felem x3, felem y3, felem z3, - const felem x1, const felem y1, const felem z1, - const int mixed, const smallfelem x2, - const smallfelem y2, const smallfelem z2) -{ - felem ftmp, ftmp2, ftmp3, ftmp4, ftmp5, ftmp6, x_out, y_out, z_out; - longfelem tmp, tmp2; - smallfelem small1, small2, small3, small4, small5; - limb x_equal, y_equal, z1_is_zero, z2_is_zero; - - felem_shrink(small3, z1); - - z1_is_zero = smallfelem_is_zero(small3); - z2_is_zero = smallfelem_is_zero(z2); - - /* ftmp = z1z1 = z1**2 */ - smallfelem_square(tmp, small3); - felem_reduce(ftmp, tmp); - /* ftmp[i] < 2^101 */ - felem_shrink(small1, ftmp); - - if (!mixed) { - /* ftmp2 = z2z2 = z2**2 */ - smallfelem_square(tmp, z2); - felem_reduce(ftmp2, tmp); - /* ftmp2[i] < 2^101 */ - felem_shrink(small2, ftmp2); - - felem_shrink(small5, x1); - - /* u1 = ftmp3 = x1*z2z2 */ - smallfelem_mul(tmp, small5, small2); - felem_reduce(ftmp3, tmp); - /* ftmp3[i] < 2^101 */ - - /* ftmp5 = z1 + z2 */ - felem_assign(ftmp5, z1); - felem_small_sum(ftmp5, z2); - /* ftmp5[i] < 2^107 */ - - /* ftmp5 = (z1 + z2)**2 - (z1z1 + z2z2) = 2z1z2 */ - felem_square(tmp, ftmp5); - felem_reduce(ftmp5, tmp); - /* ftmp2 = z2z2 + z1z1 */ - felem_sum(ftmp2, ftmp); - /* ftmp2[i] < 2^101 + 2^101 = 2^102 */ - felem_diff(ftmp5, ftmp2); - /* ftmp5[i] < 2^105 + 2^101 < 2^106 */ - - /* ftmp2 = z2 * z2z2 */ - smallfelem_mul(tmp, small2, z2); - felem_reduce(ftmp2, tmp); - - /* s1 = ftmp2 = y1 * z2**3 */ - felem_mul(tmp, y1, ftmp2); - felem_reduce(ftmp6, tmp); - /* ftmp6[i] < 2^101 */ - } else { - /* - * We'll assume z2 = 1 (special case z2 = 0 is handled later) - */ - - /* u1 = ftmp3 = x1*z2z2 */ - felem_assign(ftmp3, x1); - /* ftmp3[i] < 2^106 */ - - /* ftmp5 = 2z1z2 */ - felem_assign(ftmp5, z1); - felem_scalar(ftmp5, 2); - /* ftmp5[i] < 2*2^106 = 2^107 */ - - /* s1 = ftmp2 = y1 * z2**3 */ - felem_assign(ftmp6, y1); - /* ftmp6[i] < 2^106 */ - } - - /* u2 = x2*z1z1 */ - smallfelem_mul(tmp, x2, small1); - felem_reduce(ftmp4, tmp); - - /* h = ftmp4 = u2 - u1 */ - felem_diff_zero107(ftmp4, ftmp3); - /* ftmp4[i] < 2^107 + 2^101 < 2^108 */ - felem_shrink(small4, ftmp4); - - x_equal = smallfelem_is_zero(small4); - - /* z_out = ftmp5 * h */ - felem_small_mul(tmp, small4, ftmp5); - felem_reduce(z_out, tmp); - /* z_out[i] < 2^101 */ - - /* ftmp = z1 * z1z1 */ - smallfelem_mul(tmp, small1, small3); - felem_reduce(ftmp, tmp); - - /* s2 = tmp = y2 * z1**3 */ - felem_small_mul(tmp, y2, ftmp); - felem_reduce(ftmp5, tmp); - - /* r = ftmp5 = (s2 - s1)*2 */ - felem_diff_zero107(ftmp5, ftmp6); - /* ftmp5[i] < 2^107 + 2^107 = 2^108 */ - felem_scalar(ftmp5, 2); - /* ftmp5[i] < 2^109 */ - felem_shrink(small1, ftmp5); - y_equal = smallfelem_is_zero(small1); - - if (x_equal && y_equal && !z1_is_zero && !z2_is_zero) { - point_double(x3, y3, z3, x1, y1, z1); - return; - } - - /* I = ftmp = (2h)**2 */ - felem_assign(ftmp, ftmp4); - felem_scalar(ftmp, 2); - /* ftmp[i] < 2*2^108 = 2^109 */ - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); - - /* J = ftmp2 = h * I */ - felem_mul(tmp, ftmp4, ftmp); - felem_reduce(ftmp2, tmp); - - /* V = ftmp4 = U1 * I */ - felem_mul(tmp, ftmp3, ftmp); - felem_reduce(ftmp4, tmp); - - /* x_out = r**2 - J - 2V */ - smallfelem_square(tmp, small1); - felem_reduce(x_out, tmp); - felem_assign(ftmp3, ftmp4); - felem_scalar(ftmp4, 2); - felem_sum(ftmp4, ftmp2); - /* ftmp4[i] < 2*2^101 + 2^101 < 2^103 */ - felem_diff(x_out, ftmp4); - /* x_out[i] < 2^105 + 2^101 */ - - /* y_out = r(V-x_out) - 2 * s1 * J */ - felem_diff_zero107(ftmp3, x_out); - /* ftmp3[i] < 2^107 + 2^101 < 2^108 */ - felem_small_mul(tmp, small1, ftmp3); - felem_mul(tmp2, ftmp6, ftmp2); - longfelem_scalar(tmp2, 2); - /* tmp2[i] < 2*2^67 = 2^68 */ - longfelem_diff(tmp, tmp2); - /* tmp[i] < 2^67 + 2^70 + 2^40 < 2^71 */ - felem_reduce_zero105(y_out, tmp); - /* y_out[i] < 2^106 */ - - copy_small_conditional(x_out, x2, z1_is_zero); - copy_conditional(x_out, x1, z2_is_zero); - copy_small_conditional(y_out, y2, z1_is_zero); - copy_conditional(y_out, y1, z2_is_zero); - copy_small_conditional(z_out, z2, z1_is_zero); - copy_conditional(z_out, z1, z2_is_zero); - felem_assign(x3, x_out); - felem_assign(y3, y_out); - felem_assign(z3, z_out); -} - -/* - * point_add_small is the same as point_add, except that it operates on - * smallfelems - */ -static void point_add_small(smallfelem x3, smallfelem y3, smallfelem z3, - smallfelem x1, smallfelem y1, smallfelem z1, - smallfelem x2, smallfelem y2, smallfelem z2) -{ - felem felem_x3, felem_y3, felem_z3; - felem felem_x1, felem_y1, felem_z1; - smallfelem_expand(felem_x1, x1); - smallfelem_expand(felem_y1, y1); - smallfelem_expand(felem_z1, z1); - point_add(felem_x3, felem_y3, felem_z3, felem_x1, felem_y1, felem_z1, 0, - x2, y2, z2); - felem_shrink(x3, felem_x3); - felem_shrink(y3, felem_y3); - felem_shrink(z3, felem_z3); -} - -/*- - * Base point pre computation - * -------------------------- - * - * Two different sorts of precomputed tables are used in the following code. - * Each contain various points on the curve, where each point is three field - * elements (x, y, z). - * - * For the base point table, z is usually 1 (0 for the point at infinity). - * This table has 2 * 16 elements, starting with the following: - * index | bits | point - * ------+---------+------------------------------ - * 0 | 0 0 0 0 | 0G - * 1 | 0 0 0 1 | 1G - * 2 | 0 0 1 0 | 2^64G - * 3 | 0 0 1 1 | (2^64 + 1)G - * 4 | 0 1 0 0 | 2^128G - * 5 | 0 1 0 1 | (2^128 + 1)G - * 6 | 0 1 1 0 | (2^128 + 2^64)G - * 7 | 0 1 1 1 | (2^128 + 2^64 + 1)G - * 8 | 1 0 0 0 | 2^192G - * 9 | 1 0 0 1 | (2^192 + 1)G - * 10 | 1 0 1 0 | (2^192 + 2^64)G - * 11 | 1 0 1 1 | (2^192 + 2^64 + 1)G - * 12 | 1 1 0 0 | (2^192 + 2^128)G - * 13 | 1 1 0 1 | (2^192 + 2^128 + 1)G - * 14 | 1 1 1 0 | (2^192 + 2^128 + 2^64)G - * 15 | 1 1 1 1 | (2^192 + 2^128 + 2^64 + 1)G - * followed by a copy of this with each element multiplied by 2^32. - * - * The reason for this is so that we can clock bits into four different - * locations when doing simple scalar multiplies against the base point, - * and then another four locations using the second 16 elements. - * - * Tables for other points have table[i] = iG for i in 0 .. 16. */ - -/* gmul is the table of precomputed base points */ -static const smallfelem gmul[2][16][3] = { - {{{0, 0, 0, 0}, - {0, 0, 0, 0}, - {0, 0, 0, 0}}, - {{0xf4a13945d898c296, 0x77037d812deb33a0, 0xf8bce6e563a440f2, - 0x6b17d1f2e12c4247}, - {0xcbb6406837bf51f5, 0x2bce33576b315ece, 0x8ee7eb4a7c0f9e16, - 0x4fe342e2fe1a7f9b}, - {1, 0, 0, 0}}, - {{0x90e75cb48e14db63, 0x29493baaad651f7e, 0x8492592e326e25de, - 0x0fa822bc2811aaa5}, - {0xe41124545f462ee7, 0x34b1a65050fe82f5, 0x6f4ad4bcb3df188b, - 0xbff44ae8f5dba80d}, - {1, 0, 0, 0}}, - {{0x93391ce2097992af, 0xe96c98fd0d35f1fa, 0xb257c0de95e02789, - 0x300a4bbc89d6726f}, - {0xaa54a291c08127a0, 0x5bb1eeada9d806a5, 0x7f1ddb25ff1e3c6f, - 0x72aac7e0d09b4644}, - {1, 0, 0, 0}}, - {{0x57c84fc9d789bd85, 0xfc35ff7dc297eac3, 0xfb982fd588c6766e, - 0x447d739beedb5e67}, - {0x0c7e33c972e25b32, 0x3d349b95a7fae500, 0xe12e9d953a4aaff7, - 0x2d4825ab834131ee}, - {1, 0, 0, 0}}, - {{0x13949c932a1d367f, 0xef7fbd2b1a0a11b7, 0xddc6068bb91dfc60, - 0xef9519328a9c72ff}, - {0x196035a77376d8a8, 0x23183b0895ca1740, 0xc1ee9807022c219c, - 0x611e9fc37dbb2c9b}, - {1, 0, 0, 0}}, - {{0xcae2b1920b57f4bc, 0x2936df5ec6c9bc36, 0x7dea6482e11238bf, - 0x550663797b51f5d8}, - {0x44ffe216348a964c, 0x9fb3d576dbdefbe1, 0x0afa40018d9d50e5, - 0x157164848aecb851}, - {1, 0, 0, 0}}, - {{0xe48ecafffc5cde01, 0x7ccd84e70d715f26, 0xa2e8f483f43e4391, - 0xeb5d7745b21141ea}, - {0xcac917e2731a3479, 0x85f22cfe2844b645, 0x0990e6a158006cee, - 0xeafd72ebdbecc17b}, - {1, 0, 0, 0}}, - {{0x6cf20ffb313728be, 0x96439591a3c6b94a, 0x2736ff8344315fc5, - 0xa6d39677a7849276}, - {0xf2bab833c357f5f4, 0x824a920c2284059b, 0x66b8babd2d27ecdf, - 0x674f84749b0b8816}, - {1, 0, 0, 0}}, - {{0x2df48c04677c8a3e, 0x74e02f080203a56b, 0x31855f7db8c7fedb, - 0x4e769e7672c9ddad}, - {0xa4c36165b824bbb0, 0xfb9ae16f3b9122a5, 0x1ec0057206947281, - 0x42b99082de830663}, - {1, 0, 0, 0}}, - {{0x6ef95150dda868b9, 0xd1f89e799c0ce131, 0x7fdc1ca008a1c478, - 0x78878ef61c6ce04d}, - {0x9c62b9121fe0d976, 0x6ace570ebde08d4f, 0xde53142c12309def, - 0xb6cb3f5d7b72c321}, - {1, 0, 0, 0}}, - {{0x7f991ed2c31a3573, 0x5b82dd5bd54fb496, 0x595c5220812ffcae, - 0x0c88bc4d716b1287}, - {0x3a57bf635f48aca8, 0x7c8181f4df2564f3, 0x18d1b5b39c04e6aa, - 0xdd5ddea3f3901dc6}, - {1, 0, 0, 0}}, - {{0xe96a79fb3e72ad0c, 0x43a0a28c42ba792f, 0xefe0a423083e49f3, - 0x68f344af6b317466}, - {0xcdfe17db3fb24d4a, 0x668bfc2271f5c626, 0x604ed93c24d67ff3, - 0x31b9c405f8540a20}, - {1, 0, 0, 0}}, - {{0xd36b4789a2582e7f, 0x0d1a10144ec39c28, 0x663c62c3edbad7a0, - 0x4052bf4b6f461db9}, - {0x235a27c3188d25eb, 0xe724f33999bfcc5b, 0x862be6bd71d70cc8, - 0xfecf4d5190b0fc61}, - {1, 0, 0, 0}}, - {{0x74346c10a1d4cfac, 0xafdf5cc08526a7a4, 0x123202a8f62bff7a, - 0x1eddbae2c802e41a}, - {0x8fa0af2dd603f844, 0x36e06b7e4c701917, 0x0c45f45273db33a0, - 0x43104d86560ebcfc}, - {1, 0, 0, 0}}, - {{0x9615b5110d1d78e5, 0x66b0de3225c4744b, 0x0a4a46fb6aaf363a, - 0xb48e26b484f7a21c}, - {0x06ebb0f621a01b2d, 0xc004e4048b7b0f98, 0x64131bcdfed6f668, - 0xfac015404d4d3dab}, - {1, 0, 0, 0}}}, - {{{0, 0, 0, 0}, - {0, 0, 0, 0}, - {0, 0, 0, 0}}, - {{0x3a5a9e22185a5943, 0x1ab919365c65dfb6, 0x21656b32262c71da, - 0x7fe36b40af22af89}, - {0xd50d152c699ca101, 0x74b3d5867b8af212, 0x9f09f40407dca6f1, - 0xe697d45825b63624}, - {1, 0, 0, 0}}, - {{0xa84aa9397512218e, 0xe9a521b074ca0141, 0x57880b3a18a2e902, - 0x4a5b506612a677a6}, - {0x0beada7a4c4f3840, 0x626db15419e26d9d, 0xc42604fbe1627d40, - 0xeb13461ceac089f1}, - {1, 0, 0, 0}}, - {{0xf9faed0927a43281, 0x5e52c4144103ecbc, 0xc342967aa815c857, - 0x0781b8291c6a220a}, - {0x5a8343ceeac55f80, 0x88f80eeee54a05e3, 0x97b2a14f12916434, - 0x690cde8df0151593}, - {1, 0, 0, 0}}, - {{0xaee9c75df7f82f2a, 0x9e4c35874afdf43a, 0xf5622df437371326, - 0x8a535f566ec73617}, - {0xc5f9a0ac223094b7, 0xcde533864c8c7669, 0x37e02819085a92bf, - 0x0455c08468b08bd7}, - {1, 0, 0, 0}}, - {{0x0c0a6e2c9477b5d9, 0xf9a4bf62876dc444, 0x5050a949b6cdc279, - 0x06bada7ab77f8276}, - {0xc8b4aed1ea48dac9, 0xdebd8a4b7ea1070f, 0x427d49101366eb70, - 0x5b476dfd0e6cb18a}, - {1, 0, 0, 0}}, - {{0x7c5c3e44278c340a, 0x4d54606812d66f3b, 0x29a751b1ae23c5d8, - 0x3e29864e8a2ec908}, - {0x142d2a6626dbb850, 0xad1744c4765bd780, 0x1f150e68e322d1ed, - 0x239b90ea3dc31e7e}, - {1, 0, 0, 0}}, - {{0x78c416527a53322a, 0x305dde6709776f8e, 0xdbcab759f8862ed4, - 0x820f4dd949f72ff7}, - {0x6cc544a62b5debd4, 0x75be5d937b4e8cc4, 0x1b481b1b215c14d3, - 0x140406ec783a05ec}, - {1, 0, 0, 0}}, - {{0x6a703f10e895df07, 0xfd75f3fa01876bd8, 0xeb5b06e70ce08ffe, - 0x68f6b8542783dfee}, - {0x90c76f8a78712655, 0xcf5293d2f310bf7f, 0xfbc8044dfda45028, - 0xcbe1feba92e40ce6}, - {1, 0, 0, 0}}, - {{0xe998ceea4396e4c1, 0xfc82ef0b6acea274, 0x230f729f2250e927, - 0xd0b2f94d2f420109}, - {0x4305adddb38d4966, 0x10b838f8624c3b45, 0x7db2636658954e7a, - 0x971459828b0719e5}, - {1, 0, 0, 0}}, - {{0x4bd6b72623369fc9, 0x57f2929e53d0b876, 0xc2d5cba4f2340687, - 0x961610004a866aba}, - {0x49997bcd2e407a5e, 0x69ab197d92ddcb24, 0x2cf1f2438fe5131c, - 0x7acb9fadcee75e44}, - {1, 0, 0, 0}}, - {{0x254e839423d2d4c0, 0xf57f0c917aea685b, 0xa60d880f6f75aaea, - 0x24eb9acca333bf5b}, - {0xe3de4ccb1cda5dea, 0xfeef9341c51a6b4f, 0x743125f88bac4c4d, - 0x69f891c5acd079cc}, - {1, 0, 0, 0}}, - {{0xeee44b35702476b5, 0x7ed031a0e45c2258, 0xb422d1e7bd6f8514, - 0xe51f547c5972a107}, - {0xa25bcd6fc9cf343d, 0x8ca922ee097c184e, 0xa62f98b3a9fe9a06, - 0x1c309a2b25bb1387}, - {1, 0, 0, 0}}, - {{0x9295dbeb1967c459, 0xb00148833472c98e, 0xc504977708011828, - 0x20b87b8aa2c4e503}, - {0x3063175de057c277, 0x1bd539338fe582dd, 0x0d11adef5f69a044, - 0xf5c6fa49919776be}, - {1, 0, 0, 0}}, - {{0x8c944e760fd59e11, 0x3876cba1102fad5f, 0xa454c3fad83faa56, - 0x1ed7d1b9332010b9}, - {0xa1011a270024b889, 0x05e4d0dcac0cd344, 0x52b520f0eb6a2a24, - 0x3a2b03f03217257a}, - {1, 0, 0, 0}}, - {{0xf20fc2afdf1d043d, 0xf330240db58d5a62, 0xfc7d229ca0058c3b, - 0x15fee545c78dd9f6}, - {0x501e82885bc98cda, 0x41ef80e5d046ac04, 0x557d9f49461210fb, - 0x4ab5b6b2b8753f81}, - {1, 0, 0, 0}}} -}; - -/* - * select_point selects the |idx|th point from a precomputation table and - * copies it to out. - */ -static void select_point(const u64 idx, unsigned int size, - const smallfelem pre_comp[16][3], smallfelem out[3]) -{ - unsigned i, j; - u64 *outlimbs = &out[0][0]; - memset(outlimbs, 0, 3 * sizeof(smallfelem)); - - for (i = 0; i < size; i++) { - const u64 *inlimbs = (u64 *)&pre_comp[i][0][0]; - u64 mask = i ^ idx; - mask |= mask >> 4; - mask |= mask >> 2; - mask |= mask >> 1; - mask &= 1; - mask--; - for (j = 0; j < NLIMBS * 3; j++) - outlimbs[j] |= inlimbs[j] & mask; - } -} - -/* get_bit returns the |i|th bit in |in| */ -static char get_bit(const felem_bytearray in, int i) -{ - if ((i < 0) || (i >= 256)) - return 0; - return (in[i >> 3] >> (i & 7)) & 1; -} - -/* - * Interleaved point multiplication using precomputed point multiples: The - * small point multiples 0*P, 1*P, ..., 17*P are in pre_comp[], the scalars - * in scalars[]. If g_scalar is non-NULL, we also add this multiple of the - * generator, using certain (large) precomputed multiples in g_pre_comp. - * Output point (X, Y, Z) is stored in x_out, y_out, z_out - */ -static void batch_mul(felem x_out, felem y_out, felem z_out, - const felem_bytearray scalars[], - const unsigned num_points, const u8 *g_scalar, - const int mixed, const smallfelem pre_comp[][17][3], - const smallfelem g_pre_comp[2][16][3]) -{ - int i, skip; - unsigned num, gen_mul = (g_scalar != NULL); - felem nq[3], ftmp; - smallfelem tmp[3]; - u64 bits; - u8 sign, digit; - - /* set nq to the point at infinity */ - memset(nq, 0, 3 * sizeof(felem)); - - /* - * Loop over all scalars msb-to-lsb, interleaving additions of multiples - * of the generator (two in each of the last 32 rounds) and additions of - * other points multiples (every 5th round). - */ - skip = 1; /* save two point operations in the first - * round */ - for (i = (num_points ? 255 : 31); i >= 0; --i) { - /* double */ - if (!skip) - point_double(nq[0], nq[1], nq[2], nq[0], nq[1], nq[2]); - - /* add multiples of the generator */ - if (gen_mul && (i <= 31)) { - /* first, look 32 bits upwards */ - bits = get_bit(g_scalar, i + 224) << 3; - bits |= get_bit(g_scalar, i + 160) << 2; - bits |= get_bit(g_scalar, i + 96) << 1; - bits |= get_bit(g_scalar, i + 32); - /* select the point to add, in constant time */ - select_point(bits, 16, g_pre_comp[1], tmp); - - if (!skip) { - /* Arg 1 below is for "mixed" */ - point_add(nq[0], nq[1], nq[2], - nq[0], nq[1], nq[2], 1, tmp[0], tmp[1], tmp[2]); - } else { - smallfelem_expand(nq[0], tmp[0]); - smallfelem_expand(nq[1], tmp[1]); - smallfelem_expand(nq[2], tmp[2]); - skip = 0; - } - - /* second, look at the current position */ - bits = get_bit(g_scalar, i + 192) << 3; - bits |= get_bit(g_scalar, i + 128) << 2; - bits |= get_bit(g_scalar, i + 64) << 1; - bits |= get_bit(g_scalar, i); - /* select the point to add, in constant time */ - select_point(bits, 16, g_pre_comp[0], tmp); - /* Arg 1 below is for "mixed" */ - point_add(nq[0], nq[1], nq[2], - nq[0], nq[1], nq[2], 1, tmp[0], tmp[1], tmp[2]); - } - - /* do other additions every 5 doublings */ - if (num_points && (i % 5 == 0)) { - /* loop over all scalars */ - for (num = 0; num < num_points; ++num) { - bits = get_bit(scalars[num], i + 4) << 5; - bits |= get_bit(scalars[num], i + 3) << 4; - bits |= get_bit(scalars[num], i + 2) << 3; - bits |= get_bit(scalars[num], i + 1) << 2; - bits |= get_bit(scalars[num], i) << 1; - bits |= get_bit(scalars[num], i - 1); - ec_GFp_nistp_recode_scalar_bits(&sign, &digit, bits); - - /* - * select the point to add or subtract, in constant time - */ - select_point(digit, 17, pre_comp[num], tmp); - smallfelem_neg(ftmp, tmp[1]); /* (X, -Y, Z) is the negative - * point */ - copy_small_conditional(ftmp, tmp[1], (((limb) sign) - 1)); - felem_contract(tmp[1], ftmp); - - if (!skip) { - point_add(nq[0], nq[1], nq[2], - nq[0], nq[1], nq[2], - mixed, tmp[0], tmp[1], tmp[2]); - } else { - smallfelem_expand(nq[0], tmp[0]); - smallfelem_expand(nq[1], tmp[1]); - smallfelem_expand(nq[2], tmp[2]); - skip = 0; - } - } - } - } - felem_assign(x_out, nq[0]); - felem_assign(y_out, nq[1]); - felem_assign(z_out, nq[2]); -} - -/* Precomputation for the group generator. */ -typedef struct { - smallfelem g_pre_comp[2][16][3]; - int references; -} NISTP256_PRE_COMP; - -const EC_METHOD *EC_GFp_nistp256_method(void) -{ - static const EC_METHOD ret = { - EC_FLAGS_DEFAULT_OCT, - NID_X9_62_prime_field, - ec_GFp_nistp256_group_init, - ec_GFp_simple_group_finish, - ec_GFp_simple_group_clear_finish, - ec_GFp_nist_group_copy, - ec_GFp_nistp256_group_set_curve, - ec_GFp_simple_group_get_curve, - ec_GFp_simple_group_get_degree, - ec_GFp_simple_group_check_discriminant, - ec_GFp_simple_point_init, - ec_GFp_simple_point_finish, - ec_GFp_simple_point_clear_finish, - ec_GFp_simple_point_copy, - ec_GFp_simple_point_set_to_infinity, - ec_GFp_simple_set_Jprojective_coordinates_GFp, - ec_GFp_simple_get_Jprojective_coordinates_GFp, - ec_GFp_simple_point_set_affine_coordinates, - ec_GFp_nistp256_point_get_affine_coordinates, - 0 /* point_set_compressed_coordinates */ , - 0 /* point2oct */ , - 0 /* oct2point */ , - ec_GFp_simple_add, - ec_GFp_simple_dbl, - ec_GFp_simple_invert, - ec_GFp_simple_is_at_infinity, - ec_GFp_simple_is_on_curve, - ec_GFp_simple_cmp, - ec_GFp_simple_make_affine, - ec_GFp_simple_points_make_affine, - ec_GFp_nistp256_points_mul, - ec_GFp_nistp256_precompute_mult, - ec_GFp_nistp256_have_precompute_mult, - ec_GFp_nist_field_mul, - ec_GFp_nist_field_sqr, - 0 /* field_div */ , - 0 /* field_encode */ , - 0 /* field_decode */ , - 0 /* field_set_to_one */ - }; - - return &ret; -} - -/******************************************************************************/ -/* - * FUNCTIONS TO MANAGE PRECOMPUTATION - */ - -static NISTP256_PRE_COMP *nistp256_pre_comp_new() -{ - NISTP256_PRE_COMP *ret = NULL; - ret = (NISTP256_PRE_COMP *) OPENSSL_malloc(sizeof *ret); - if (!ret) { - ECerr(EC_F_NISTP256_PRE_COMP_NEW, ERR_R_MALLOC_FAILURE); - return ret; - } - memset(ret->g_pre_comp, 0, sizeof(ret->g_pre_comp)); - ret->references = 1; - return ret; -} - -static void *nistp256_pre_comp_dup(void *src_) -{ - NISTP256_PRE_COMP *src = src_; - - /* no need to actually copy, these objects never change! */ - CRYPTO_add(&src->references, 1, CRYPTO_LOCK_EC_PRE_COMP); - - return src_; -} - -static void nistp256_pre_comp_free(void *pre_) -{ - int i; - NISTP256_PRE_COMP *pre = pre_; - - if (!pre) - return; - - i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP); - if (i > 0) - return; - - OPENSSL_free(pre); -} - -static void nistp256_pre_comp_clear_free(void *pre_) -{ - int i; - NISTP256_PRE_COMP *pre = pre_; - - if (!pre) - return; - - i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP); - if (i > 0) - return; - - OPENSSL_cleanse(pre, sizeof *pre); - OPENSSL_free(pre); -} - -/******************************************************************************/ -/* - * OPENSSL EC_METHOD FUNCTIONS - */ - -int ec_GFp_nistp256_group_init(EC_GROUP *group) -{ - int ret; - ret = ec_GFp_simple_group_init(group); - group->a_is_minus3 = 1; - return ret; -} - -int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p, - const BIGNUM *a, const BIGNUM *b, - BN_CTX *ctx) -{ - int ret = 0; - BN_CTX *new_ctx = NULL; - BIGNUM *curve_p, *curve_a, *curve_b; - - if (ctx == NULL) - if ((ctx = new_ctx = BN_CTX_new()) == NULL) - return 0; - BN_CTX_start(ctx); - if (((curve_p = BN_CTX_get(ctx)) == NULL) || - ((curve_a = BN_CTX_get(ctx)) == NULL) || - ((curve_b = BN_CTX_get(ctx)) == NULL)) - goto err; - BN_bin2bn(nistp256_curve_params[0], sizeof(felem_bytearray), curve_p); - BN_bin2bn(nistp256_curve_params[1], sizeof(felem_bytearray), curve_a); - BN_bin2bn(nistp256_curve_params[2], sizeof(felem_bytearray), curve_b); - if ((BN_cmp(curve_p, p)) || (BN_cmp(curve_a, a)) || (BN_cmp(curve_b, b))) { - ECerr(EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE, - EC_R_WRONG_CURVE_PARAMETERS); - goto err; - } - group->field_mod_func = BN_nist_mod_256; - ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx); - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -/* - * Takes the Jacobian coordinates (X, Y, Z) of a point and returns (X', Y') = - * (X/Z^2, Y/Z^3) - */ -int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group, - const EC_POINT *point, - BIGNUM *x, BIGNUM *y, - BN_CTX *ctx) -{ - felem z1, z2, x_in, y_in; - smallfelem x_out, y_out; - longfelem tmp; - - if (EC_POINT_is_at_infinity(group, point)) { - ECerr(EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES, - EC_R_POINT_AT_INFINITY); - return 0; - } - if ((!BN_to_felem(x_in, &point->X)) || (!BN_to_felem(y_in, &point->Y)) || - (!BN_to_felem(z1, &point->Z))) - return 0; - felem_inv(z2, z1); - felem_square(tmp, z2); - felem_reduce(z1, tmp); - felem_mul(tmp, x_in, z1); - felem_reduce(x_in, tmp); - felem_contract(x_out, x_in); - if (x != NULL) { - if (!smallfelem_to_BN(x, x_out)) { - ECerr(EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES, - ERR_R_BN_LIB); - return 0; - } - } - felem_mul(tmp, z1, z2); - felem_reduce(z1, tmp); - felem_mul(tmp, y_in, z1); - felem_reduce(y_in, tmp); - felem_contract(y_out, y_in); - if (y != NULL) { - if (!smallfelem_to_BN(y, y_out)) { - ECerr(EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES, - ERR_R_BN_LIB); - return 0; - } - } - return 1; -} - -/* points below is of size |num|, and tmp_smallfelems is of size |num+1| */ -static void make_points_affine(size_t num, smallfelem points[][3], - smallfelem tmp_smallfelems[]) -{ - /* - * Runs in constant time, unless an input is the point at infinity (which - * normally shouldn't happen). - */ - ec_GFp_nistp_points_make_affine_internal(num, - points, - sizeof(smallfelem), - tmp_smallfelems, - (void (*)(void *))smallfelem_one, - (int (*)(const void *)) - smallfelem_is_zero_int, - (void (*)(void *, const void *)) - smallfelem_assign, - (void (*)(void *, const void *)) - smallfelem_square_contract, - (void (*) - (void *, const void *, - const void *)) - smallfelem_mul_contract, - (void (*)(void *, const void *)) - smallfelem_inv_contract, - /* nothing to contract */ - (void (*)(void *, const void *)) - smallfelem_assign); -} - -/* - * Computes scalar*generator + \sum scalars[i]*points[i], ignoring NULL - * values Result is stored in r (r can equal one of the inputs). - */ -int ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r, - const BIGNUM *scalar, size_t num, - const EC_POINT *points[], - const BIGNUM *scalars[], BN_CTX *ctx) -{ - int ret = 0; - int j; - int mixed = 0; - BN_CTX *new_ctx = NULL; - BIGNUM *x, *y, *z, *tmp_scalar; - felem_bytearray g_secret; - felem_bytearray *secrets = NULL; - smallfelem(*pre_comp)[17][3] = NULL; - smallfelem *tmp_smallfelems = NULL; - felem_bytearray tmp; - unsigned i, num_bytes; - int have_pre_comp = 0; - size_t num_points = num; - smallfelem x_in, y_in, z_in; - felem x_out, y_out, z_out; - NISTP256_PRE_COMP *pre = NULL; - const smallfelem(*g_pre_comp)[16][3] = NULL; - EC_POINT *generator = NULL; - const EC_POINT *p = NULL; - const BIGNUM *p_scalar = NULL; - - if (ctx == NULL) - if ((ctx = new_ctx = BN_CTX_new()) == NULL) - return 0; - BN_CTX_start(ctx); - if (((x = BN_CTX_get(ctx)) == NULL) || - ((y = BN_CTX_get(ctx)) == NULL) || - ((z = BN_CTX_get(ctx)) == NULL) || - ((tmp_scalar = BN_CTX_get(ctx)) == NULL)) - goto err; - - if (scalar != NULL) { - pre = EC_EX_DATA_get_data(group->extra_data, - nistp256_pre_comp_dup, - nistp256_pre_comp_free, - nistp256_pre_comp_clear_free); - if (pre) - /* we have precomputation, try to use it */ - g_pre_comp = (const smallfelem(*)[16][3])pre->g_pre_comp; - else - /* try to use the standard precomputation */ - g_pre_comp = &gmul[0]; - generator = EC_POINT_new(group); - if (generator == NULL) - goto err; - /* get the generator from precomputation */ - if (!smallfelem_to_BN(x, g_pre_comp[0][1][0]) || - !smallfelem_to_BN(y, g_pre_comp[0][1][1]) || - !smallfelem_to_BN(z, g_pre_comp[0][1][2])) { - ECerr(EC_F_EC_GFP_NISTP256_POINTS_MUL, ERR_R_BN_LIB); - goto err; - } - if (!EC_POINT_set_Jprojective_coordinates_GFp(group, - generator, x, y, z, - ctx)) - goto err; - if (0 == EC_POINT_cmp(group, generator, group->generator, ctx)) - /* precomputation matches generator */ - have_pre_comp = 1; - else - /* - * we don't have valid precomputation: treat the generator as a - * random point - */ - num_points++; - } - if (num_points > 0) { - if (num_points >= 3) { - /* - * unless we precompute multiples for just one or two points, - * converting those into affine form is time well spent - */ - mixed = 1; - } - secrets = OPENSSL_malloc(num_points * sizeof(felem_bytearray)); - pre_comp = OPENSSL_malloc(num_points * 17 * 3 * sizeof(smallfelem)); - if (mixed) - tmp_smallfelems = - OPENSSL_malloc((num_points * 17 + 1) * sizeof(smallfelem)); - if ((secrets == NULL) || (pre_comp == NULL) - || (mixed && (tmp_smallfelems == NULL))) { - ECerr(EC_F_EC_GFP_NISTP256_POINTS_MUL, ERR_R_MALLOC_FAILURE); - goto err; - } - - /* - * we treat NULL scalars as 0, and NULL points as points at infinity, - * i.e., they contribute nothing to the linear combination - */ - memset(secrets, 0, num_points * sizeof(felem_bytearray)); - memset(pre_comp, 0, num_points * 17 * 3 * sizeof(smallfelem)); - for (i = 0; i < num_points; ++i) { - if (i == num) - /* - * we didn't have a valid precomputation, so we pick the - * generator - */ - { - p = EC_GROUP_get0_generator(group); - p_scalar = scalar; - } else - /* the i^th point */ - { - p = points[i]; - p_scalar = scalars[i]; - } - if ((p_scalar != NULL) && (p != NULL)) { - /* reduce scalar to 0 <= scalar < 2^256 */ - if ((BN_num_bits(p_scalar) > 256) - || (BN_is_negative(p_scalar))) { - /* - * this is an unusual input, and we don't guarantee - * constant-timeness - */ - if (!BN_nnmod(tmp_scalar, p_scalar, &group->order, ctx)) { - ECerr(EC_F_EC_GFP_NISTP256_POINTS_MUL, ERR_R_BN_LIB); - goto err; - } - num_bytes = BN_bn2bin(tmp_scalar, tmp); - } else - num_bytes = BN_bn2bin(p_scalar, tmp); - flip_endian(secrets[i], tmp, num_bytes); - /* precompute multiples */ - if ((!BN_to_felem(x_out, &p->X)) || - (!BN_to_felem(y_out, &p->Y)) || - (!BN_to_felem(z_out, &p->Z))) - goto err; - felem_shrink(pre_comp[i][1][0], x_out); - felem_shrink(pre_comp[i][1][1], y_out); - felem_shrink(pre_comp[i][1][2], z_out); - for (j = 2; j <= 16; ++j) { - if (j & 1) { - point_add_small(pre_comp[i][j][0], pre_comp[i][j][1], - pre_comp[i][j][2], pre_comp[i][1][0], - pre_comp[i][1][1], pre_comp[i][1][2], - pre_comp[i][j - 1][0], - pre_comp[i][j - 1][1], - pre_comp[i][j - 1][2]); - } else { - point_double_small(pre_comp[i][j][0], - pre_comp[i][j][1], - pre_comp[i][j][2], - pre_comp[i][j / 2][0], - pre_comp[i][j / 2][1], - pre_comp[i][j / 2][2]); - } - } - } - } - if (mixed) - make_points_affine(num_points * 17, pre_comp[0], tmp_smallfelems); - } - - /* the scalar for the generator */ - if ((scalar != NULL) && (have_pre_comp)) { - memset(g_secret, 0, sizeof(g_secret)); - /* reduce scalar to 0 <= scalar < 2^256 */ - if ((BN_num_bits(scalar) > 256) || (BN_is_negative(scalar))) { - /* - * this is an unusual input, and we don't guarantee - * constant-timeness - */ - if (!BN_nnmod(tmp_scalar, scalar, &group->order, ctx)) { - ECerr(EC_F_EC_GFP_NISTP256_POINTS_MUL, ERR_R_BN_LIB); - goto err; - } - num_bytes = BN_bn2bin(tmp_scalar, tmp); - } else - num_bytes = BN_bn2bin(scalar, tmp); - flip_endian(g_secret, tmp, num_bytes); - /* do the multiplication with generator precomputation */ - batch_mul(x_out, y_out, z_out, - (const felem_bytearray(*))secrets, num_points, - g_secret, - mixed, (const smallfelem(*)[17][3])pre_comp, g_pre_comp); - } else - /* do the multiplication without generator precomputation */ - batch_mul(x_out, y_out, z_out, - (const felem_bytearray(*))secrets, num_points, - NULL, mixed, (const smallfelem(*)[17][3])pre_comp, NULL); - /* reduce the output to its unique minimal representation */ - felem_contract(x_in, x_out); - felem_contract(y_in, y_out); - felem_contract(z_in, z_out); - if ((!smallfelem_to_BN(x, x_in)) || (!smallfelem_to_BN(y, y_in)) || - (!smallfelem_to_BN(z, z_in))) { - ECerr(EC_F_EC_GFP_NISTP256_POINTS_MUL, ERR_R_BN_LIB); - goto err; - } - ret = EC_POINT_set_Jprojective_coordinates_GFp(group, r, x, y, z, ctx); - - err: - BN_CTX_end(ctx); - if (generator != NULL) - EC_POINT_free(generator); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - if (secrets != NULL) - OPENSSL_free(secrets); - if (pre_comp != NULL) - OPENSSL_free(pre_comp); - if (tmp_smallfelems != NULL) - OPENSSL_free(tmp_smallfelems); - return ret; -} - -int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx) -{ - int ret = 0; - NISTP256_PRE_COMP *pre = NULL; - int i, j; - BN_CTX *new_ctx = NULL; - BIGNUM *x, *y; - EC_POINT *generator = NULL; - smallfelem tmp_smallfelems[32]; - felem x_tmp, y_tmp, z_tmp; - - /* throw away old precomputation */ - EC_EX_DATA_free_data(&group->extra_data, nistp256_pre_comp_dup, - nistp256_pre_comp_free, - nistp256_pre_comp_clear_free); - if (ctx == NULL) - if ((ctx = new_ctx = BN_CTX_new()) == NULL) - return 0; - BN_CTX_start(ctx); - if (((x = BN_CTX_get(ctx)) == NULL) || ((y = BN_CTX_get(ctx)) == NULL)) - goto err; - /* get the generator */ - if (group->generator == NULL) - goto err; - generator = EC_POINT_new(group); - if (generator == NULL) - goto err; - BN_bin2bn(nistp256_curve_params[3], sizeof(felem_bytearray), x); - BN_bin2bn(nistp256_curve_params[4], sizeof(felem_bytearray), y); - if (!EC_POINT_set_affine_coordinates_GFp(group, generator, x, y, ctx)) - goto err; - if ((pre = nistp256_pre_comp_new()) == NULL) - goto err; - /* - * if the generator is the standard one, use built-in precomputation - */ - if (0 == EC_POINT_cmp(group, generator, group->generator, ctx)) { - memcpy(pre->g_pre_comp, gmul, sizeof(pre->g_pre_comp)); - goto done; - } - if ((!BN_to_felem(x_tmp, &group->generator->X)) || - (!BN_to_felem(y_tmp, &group->generator->Y)) || - (!BN_to_felem(z_tmp, &group->generator->Z))) - goto err; - felem_shrink(pre->g_pre_comp[0][1][0], x_tmp); - felem_shrink(pre->g_pre_comp[0][1][1], y_tmp); - felem_shrink(pre->g_pre_comp[0][1][2], z_tmp); - /* - * compute 2^64*G, 2^128*G, 2^192*G for the first table, 2^32*G, 2^96*G, - * 2^160*G, 2^224*G for the second one - */ - for (i = 1; i <= 8; i <<= 1) { - point_double_small(pre->g_pre_comp[1][i][0], pre->g_pre_comp[1][i][1], - pre->g_pre_comp[1][i][2], pre->g_pre_comp[0][i][0], - pre->g_pre_comp[0][i][1], - pre->g_pre_comp[0][i][2]); - for (j = 0; j < 31; ++j) { - point_double_small(pre->g_pre_comp[1][i][0], - pre->g_pre_comp[1][i][1], - pre->g_pre_comp[1][i][2], - pre->g_pre_comp[1][i][0], - pre->g_pre_comp[1][i][1], - pre->g_pre_comp[1][i][2]); - } - if (i == 8) - break; - point_double_small(pre->g_pre_comp[0][2 * i][0], - pre->g_pre_comp[0][2 * i][1], - pre->g_pre_comp[0][2 * i][2], - pre->g_pre_comp[1][i][0], pre->g_pre_comp[1][i][1], - pre->g_pre_comp[1][i][2]); - for (j = 0; j < 31; ++j) { - point_double_small(pre->g_pre_comp[0][2 * i][0], - pre->g_pre_comp[0][2 * i][1], - pre->g_pre_comp[0][2 * i][2], - pre->g_pre_comp[0][2 * i][0], - pre->g_pre_comp[0][2 * i][1], - pre->g_pre_comp[0][2 * i][2]); - } - } - for (i = 0; i < 2; i++) { - /* g_pre_comp[i][0] is the point at infinity */ - memset(pre->g_pre_comp[i][0], 0, sizeof(pre->g_pre_comp[i][0])); - /* the remaining multiples */ - /* 2^64*G + 2^128*G resp. 2^96*G + 2^160*G */ - point_add_small(pre->g_pre_comp[i][6][0], pre->g_pre_comp[i][6][1], - pre->g_pre_comp[i][6][2], pre->g_pre_comp[i][4][0], - pre->g_pre_comp[i][4][1], pre->g_pre_comp[i][4][2], - pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1], - pre->g_pre_comp[i][2][2]); - /* 2^64*G + 2^192*G resp. 2^96*G + 2^224*G */ - point_add_small(pre->g_pre_comp[i][10][0], pre->g_pre_comp[i][10][1], - pre->g_pre_comp[i][10][2], pre->g_pre_comp[i][8][0], - pre->g_pre_comp[i][8][1], pre->g_pre_comp[i][8][2], - pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1], - pre->g_pre_comp[i][2][2]); - /* 2^128*G + 2^192*G resp. 2^160*G + 2^224*G */ - point_add_small(pre->g_pre_comp[i][12][0], pre->g_pre_comp[i][12][1], - pre->g_pre_comp[i][12][2], pre->g_pre_comp[i][8][0], - pre->g_pre_comp[i][8][1], pre->g_pre_comp[i][8][2], - pre->g_pre_comp[i][4][0], pre->g_pre_comp[i][4][1], - pre->g_pre_comp[i][4][2]); - /* - * 2^64*G + 2^128*G + 2^192*G resp. 2^96*G + 2^160*G + 2^224*G - */ - point_add_small(pre->g_pre_comp[i][14][0], pre->g_pre_comp[i][14][1], - pre->g_pre_comp[i][14][2], pre->g_pre_comp[i][12][0], - pre->g_pre_comp[i][12][1], pre->g_pre_comp[i][12][2], - pre->g_pre_comp[i][2][0], pre->g_pre_comp[i][2][1], - pre->g_pre_comp[i][2][2]); - for (j = 1; j < 8; ++j) { - /* odd multiples: add G resp. 2^32*G */ - point_add_small(pre->g_pre_comp[i][2 * j + 1][0], - pre->g_pre_comp[i][2 * j + 1][1], - pre->g_pre_comp[i][2 * j + 1][2], - pre->g_pre_comp[i][2 * j][0], - pre->g_pre_comp[i][2 * j][1], - pre->g_pre_comp[i][2 * j][2], - pre->g_pre_comp[i][1][0], - pre->g_pre_comp[i][1][1], - pre->g_pre_comp[i][1][2]); - } - } - make_points_affine(31, &(pre->g_pre_comp[0][1]), tmp_smallfelems); - - done: - if (!EC_EX_DATA_set_data(&group->extra_data, pre, nistp256_pre_comp_dup, - nistp256_pre_comp_free, - nistp256_pre_comp_clear_free)) - goto err; - ret = 1; - pre = NULL; - err: - BN_CTX_end(ctx); - if (generator != NULL) - EC_POINT_free(generator); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - if (pre) - nistp256_pre_comp_free(pre); - return ret; -} - -int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group) -{ - if (EC_EX_DATA_get_data(group->extra_data, nistp256_pre_comp_dup, - nistp256_pre_comp_free, - nistp256_pre_comp_clear_free) - != NULL) - return 1; - else - return 0; -} -#else -static void *dummy = &dummy; -#endif diff --git a/thirdparty/openssl/crypto/ec/ecp_nistp521.c b/thirdparty/openssl/crypto/ec/ecp_nistp521.c deleted file mode 100644 index c53a61bbfb..0000000000 --- a/thirdparty/openssl/crypto/ec/ecp_nistp521.c +++ /dev/null @@ -1,2148 +0,0 @@ -/* crypto/ec/ecp_nistp521.c */ -/* - * Written by Adam Langley (Google) for the OpenSSL project - */ -/* Copyright 2011 Google Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -/* - * A 64-bit implementation of the NIST P-521 elliptic curve point multiplication - * - * OpenSSL integration was taken from Emilia Kasper's work in ecp_nistp224.c. - * Otherwise based on Emilia's P224 work, which was inspired by my curve25519 - * work which got its smarts from Daniel J. Bernstein's work on the same. - */ - -#include <openssl/opensslconf.h> -#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 - -# ifndef OPENSSL_SYS_VMS -# include <stdint.h> -# else -# include <inttypes.h> -# endif - -# include <string.h> -# include <openssl/err.h> -# include "ec_lcl.h" - -# if defined(__GNUC__) && (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 1)) - /* even with gcc, the typedef won't work for 32-bit platforms */ -typedef __uint128_t uint128_t; /* nonstandard; implemented by gcc on 64-bit - * platforms */ -# else -# error "Need GCC 3.1 or later to define type uint128_t" -# endif - -typedef uint8_t u8; -typedef uint64_t u64; -typedef int64_t s64; - -/* - * The underlying field. P521 operates over GF(2^521-1). We can serialise an - * element of this field into 66 bytes where the most significant byte - * contains only a single bit. We call this an felem_bytearray. - */ - -typedef u8 felem_bytearray[66]; - -/* - * These are the parameters of P521, taken from FIPS 186-3, section D.1.2.5. - * These values are big-endian. - */ -static const felem_bytearray nistp521_curve_params[5] = { - {0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, /* p */ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff}, - {0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, /* a = -3 */ - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, - 0xff, 0xfc}, - {0x00, 0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c, /* b */ - 0x9a, 0x1f, 0x92, 0x9a, 0x21, 0xa0, 0xb6, 0x85, - 0x40, 0xee, 0xa2, 0xda, 0x72, 0x5b, 0x99, 0xb3, - 0x15, 0xf3, 0xb8, 0xb4, 0x89, 0x91, 0x8e, 0xf1, - 0x09, 0xe1, 0x56, 0x19, 0x39, 0x51, 0xec, 0x7e, - 0x93, 0x7b, 0x16, 0x52, 0xc0, 0xbd, 0x3b, 0xb1, - 0xbf, 0x07, 0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c, - 0x34, 0xf1, 0xef, 0x45, 0x1f, 0xd4, 0x6b, 0x50, - 0x3f, 0x00}, - {0x00, 0xc6, 0x85, 0x8e, 0x06, 0xb7, 0x04, 0x04, /* x */ - 0xe9, 0xcd, 0x9e, 0x3e, 0xcb, 0x66, 0x23, 0x95, - 0xb4, 0x42, 0x9c, 0x64, 0x81, 0x39, 0x05, 0x3f, - 0xb5, 0x21, 0xf8, 0x28, 0xaf, 0x60, 0x6b, 0x4d, - 0x3d, 0xba, 0xa1, 0x4b, 0x5e, 0x77, 0xef, 0xe7, - 0x59, 0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff, - 0xa8, 0xde, 0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a, - 0x42, 0x9b, 0xf9, 0x7e, 0x7e, 0x31, 0xc2, 0xe5, - 0xbd, 0x66}, - {0x01, 0x18, 0x39, 0x29, 0x6a, 0x78, 0x9a, 0x3b, /* y */ - 0xc0, 0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, - 0x1b, 0xd9, 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, - 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, 0x27, 0x3e, - 0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4, - 0x26, 0x40, 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, - 0x07, 0x61, 0x35, 0x3c, 0x70, 0x86, 0xa2, 0x72, - 0xc2, 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1, - 0x66, 0x50} -}; - -/*- - * The representation of field elements. - * ------------------------------------ - * - * We represent field elements with nine values. These values are either 64 or - * 128 bits and the field element represented is: - * v[0]*2^0 + v[1]*2^58 + v[2]*2^116 + ... + v[8]*2^464 (mod p) - * Each of the nine values is called a 'limb'. Since the limbs are spaced only - * 58 bits apart, but are greater than 58 bits in length, the most significant - * bits of each limb overlap with the least significant bits of the next. - * - * A field element with 64-bit limbs is an 'felem'. One with 128-bit limbs is a - * 'largefelem' */ - -# define NLIMBS 9 - -typedef uint64_t limb; -typedef limb felem[NLIMBS]; -typedef uint128_t largefelem[NLIMBS]; - -static const limb bottom57bits = 0x1ffffffffffffff; -static const limb bottom58bits = 0x3ffffffffffffff; - -/* - * bin66_to_felem takes a little-endian byte array and converts it into felem - * form. This assumes that the CPU is little-endian. - */ -static void bin66_to_felem(felem out, const u8 in[66]) -{ - out[0] = (*((limb *) & in[0])) & bottom58bits; - out[1] = (*((limb *) & in[7]) >> 2) & bottom58bits; - out[2] = (*((limb *) & in[14]) >> 4) & bottom58bits; - out[3] = (*((limb *) & in[21]) >> 6) & bottom58bits; - out[4] = (*((limb *) & in[29])) & bottom58bits; - out[5] = (*((limb *) & in[36]) >> 2) & bottom58bits; - out[6] = (*((limb *) & in[43]) >> 4) & bottom58bits; - out[7] = (*((limb *) & in[50]) >> 6) & bottom58bits; - out[8] = (*((limb *) & in[58])) & bottom57bits; -} - -/* - * felem_to_bin66 takes an felem and serialises into a little endian, 66 byte - * array. This assumes that the CPU is little-endian. - */ -static void felem_to_bin66(u8 out[66], const felem in) -{ - memset(out, 0, 66); - (*((limb *) & out[0])) = in[0]; - (*((limb *) & out[7])) |= in[1] << 2; - (*((limb *) & out[14])) |= in[2] << 4; - (*((limb *) & out[21])) |= in[3] << 6; - (*((limb *) & out[29])) = in[4]; - (*((limb *) & out[36])) |= in[5] << 2; - (*((limb *) & out[43])) |= in[6] << 4; - (*((limb *) & out[50])) |= in[7] << 6; - (*((limb *) & out[58])) = in[8]; -} - -/* To preserve endianness when using BN_bn2bin and BN_bin2bn */ -static void flip_endian(u8 *out, const u8 *in, unsigned len) -{ - unsigned i; - for (i = 0; i < len; ++i) - out[i] = in[len - 1 - i]; -} - -/* BN_to_felem converts an OpenSSL BIGNUM into an felem */ -static int BN_to_felem(felem out, const BIGNUM *bn) -{ - felem_bytearray b_in; - felem_bytearray b_out; - unsigned num_bytes; - - /* BN_bn2bin eats leading zeroes */ - memset(b_out, 0, sizeof b_out); - num_bytes = BN_num_bytes(bn); - if (num_bytes > sizeof b_out) { - ECerr(EC_F_BN_TO_FELEM, EC_R_BIGNUM_OUT_OF_RANGE); - return 0; - } - if (BN_is_negative(bn)) { - ECerr(EC_F_BN_TO_FELEM, EC_R_BIGNUM_OUT_OF_RANGE); - return 0; - } - num_bytes = BN_bn2bin(bn, b_in); - flip_endian(b_out, b_in, num_bytes); - bin66_to_felem(out, b_out); - return 1; -} - -/* felem_to_BN converts an felem into an OpenSSL BIGNUM */ -static BIGNUM *felem_to_BN(BIGNUM *out, const felem in) -{ - felem_bytearray b_in, b_out; - felem_to_bin66(b_in, in); - flip_endian(b_out, b_in, sizeof b_out); - return BN_bin2bn(b_out, sizeof b_out, out); -} - -/*- - * Field operations - * ---------------- - */ - -static void felem_one(felem out) -{ - out[0] = 1; - out[1] = 0; - out[2] = 0; - out[3] = 0; - out[4] = 0; - out[5] = 0; - out[6] = 0; - out[7] = 0; - out[8] = 0; -} - -static void felem_assign(felem out, const felem in) -{ - out[0] = in[0]; - out[1] = in[1]; - out[2] = in[2]; - out[3] = in[3]; - out[4] = in[4]; - out[5] = in[5]; - out[6] = in[6]; - out[7] = in[7]; - out[8] = in[8]; -} - -/* felem_sum64 sets out = out + in. */ -static void felem_sum64(felem out, const felem in) -{ - out[0] += in[0]; - out[1] += in[1]; - out[2] += in[2]; - out[3] += in[3]; - out[4] += in[4]; - out[5] += in[5]; - out[6] += in[6]; - out[7] += in[7]; - out[8] += in[8]; -} - -/* felem_scalar sets out = in * scalar */ -static void felem_scalar(felem out, const felem in, limb scalar) -{ - out[0] = in[0] * scalar; - out[1] = in[1] * scalar; - out[2] = in[2] * scalar; - out[3] = in[3] * scalar; - out[4] = in[4] * scalar; - out[5] = in[5] * scalar; - out[6] = in[6] * scalar; - out[7] = in[7] * scalar; - out[8] = in[8] * scalar; -} - -/* felem_scalar64 sets out = out * scalar */ -static void felem_scalar64(felem out, limb scalar) -{ - out[0] *= scalar; - out[1] *= scalar; - out[2] *= scalar; - out[3] *= scalar; - out[4] *= scalar; - out[5] *= scalar; - out[6] *= scalar; - out[7] *= scalar; - out[8] *= scalar; -} - -/* felem_scalar128 sets out = out * scalar */ -static void felem_scalar128(largefelem out, limb scalar) -{ - out[0] *= scalar; - out[1] *= scalar; - out[2] *= scalar; - out[3] *= scalar; - out[4] *= scalar; - out[5] *= scalar; - out[6] *= scalar; - out[7] *= scalar; - out[8] *= scalar; -} - -/*- - * felem_neg sets |out| to |-in| - * On entry: - * in[i] < 2^59 + 2^14 - * On exit: - * out[i] < 2^62 - */ -static void felem_neg(felem out, const felem in) -{ - /* In order to prevent underflow, we subtract from 0 mod p. */ - static const limb two62m3 = (((limb) 1) << 62) - (((limb) 1) << 5); - static const limb two62m2 = (((limb) 1) << 62) - (((limb) 1) << 4); - - out[0] = two62m3 - in[0]; - out[1] = two62m2 - in[1]; - out[2] = two62m2 - in[2]; - out[3] = two62m2 - in[3]; - out[4] = two62m2 - in[4]; - out[5] = two62m2 - in[5]; - out[6] = two62m2 - in[6]; - out[7] = two62m2 - in[7]; - out[8] = two62m2 - in[8]; -} - -/*- - * felem_diff64 subtracts |in| from |out| - * On entry: - * in[i] < 2^59 + 2^14 - * On exit: - * out[i] < out[i] + 2^62 - */ -static void felem_diff64(felem out, const felem in) -{ - /* - * In order to prevent underflow, we add 0 mod p before subtracting. - */ - static const limb two62m3 = (((limb) 1) << 62) - (((limb) 1) << 5); - static const limb two62m2 = (((limb) 1) << 62) - (((limb) 1) << 4); - - out[0] += two62m3 - in[0]; - out[1] += two62m2 - in[1]; - out[2] += two62m2 - in[2]; - out[3] += two62m2 - in[3]; - out[4] += two62m2 - in[4]; - out[5] += two62m2 - in[5]; - out[6] += two62m2 - in[6]; - out[7] += two62m2 - in[7]; - out[8] += two62m2 - in[8]; -} - -/*- - * felem_diff_128_64 subtracts |in| from |out| - * On entry: - * in[i] < 2^62 + 2^17 - * On exit: - * out[i] < out[i] + 2^63 - */ -static void felem_diff_128_64(largefelem out, const felem in) -{ - /* - * In order to prevent underflow, we add 0 mod p before subtracting. - */ - static const limb two63m6 = (((limb) 1) << 62) - (((limb) 1) << 5); - static const limb two63m5 = (((limb) 1) << 62) - (((limb) 1) << 4); - - out[0] += two63m6 - in[0]; - out[1] += two63m5 - in[1]; - out[2] += two63m5 - in[2]; - out[3] += two63m5 - in[3]; - out[4] += two63m5 - in[4]; - out[5] += two63m5 - in[5]; - out[6] += two63m5 - in[6]; - out[7] += two63m5 - in[7]; - out[8] += two63m5 - in[8]; -} - -/*- - * felem_diff_128_64 subtracts |in| from |out| - * On entry: - * in[i] < 2^126 - * On exit: - * out[i] < out[i] + 2^127 - 2^69 - */ -static void felem_diff128(largefelem out, const largefelem in) -{ - /* - * In order to prevent underflow, we add 0 mod p before subtracting. - */ - static const uint128_t two127m70 = - (((uint128_t) 1) << 127) - (((uint128_t) 1) << 70); - static const uint128_t two127m69 = - (((uint128_t) 1) << 127) - (((uint128_t) 1) << 69); - - out[0] += (two127m70 - in[0]); - out[1] += (two127m69 - in[1]); - out[2] += (two127m69 - in[2]); - out[3] += (two127m69 - in[3]); - out[4] += (two127m69 - in[4]); - out[5] += (two127m69 - in[5]); - out[6] += (two127m69 - in[6]); - out[7] += (two127m69 - in[7]); - out[8] += (two127m69 - in[8]); -} - -/*- - * felem_square sets |out| = |in|^2 - * On entry: - * in[i] < 2^62 - * On exit: - * out[i] < 17 * max(in[i]) * max(in[i]) - */ -static void felem_square(largefelem out, const felem in) -{ - felem inx2, inx4; - felem_scalar(inx2, in, 2); - felem_scalar(inx4, in, 4); - - /*- - * We have many cases were we want to do - * in[x] * in[y] + - * in[y] * in[x] - * This is obviously just - * 2 * in[x] * in[y] - * However, rather than do the doubling on the 128 bit result, we - * double one of the inputs to the multiplication by reading from - * |inx2| - */ - - out[0] = ((uint128_t) in[0]) * in[0]; - out[1] = ((uint128_t) in[0]) * inx2[1]; - out[2] = ((uint128_t) in[0]) * inx2[2] + ((uint128_t) in[1]) * in[1]; - out[3] = ((uint128_t) in[0]) * inx2[3] + ((uint128_t) in[1]) * inx2[2]; - out[4] = ((uint128_t) in[0]) * inx2[4] + - ((uint128_t) in[1]) * inx2[3] + ((uint128_t) in[2]) * in[2]; - out[5] = ((uint128_t) in[0]) * inx2[5] + - ((uint128_t) in[1]) * inx2[4] + ((uint128_t) in[2]) * inx2[3]; - out[6] = ((uint128_t) in[0]) * inx2[6] + - ((uint128_t) in[1]) * inx2[5] + - ((uint128_t) in[2]) * inx2[4] + ((uint128_t) in[3]) * in[3]; - out[7] = ((uint128_t) in[0]) * inx2[7] + - ((uint128_t) in[1]) * inx2[6] + - ((uint128_t) in[2]) * inx2[5] + ((uint128_t) in[3]) * inx2[4]; - out[8] = ((uint128_t) in[0]) * inx2[8] + - ((uint128_t) in[1]) * inx2[7] + - ((uint128_t) in[2]) * inx2[6] + - ((uint128_t) in[3]) * inx2[5] + ((uint128_t) in[4]) * in[4]; - - /* - * The remaining limbs fall above 2^521, with the first falling at 2^522. - * They correspond to locations one bit up from the limbs produced above - * so we would have to multiply by two to align them. Again, rather than - * operate on the 128-bit result, we double one of the inputs to the - * multiplication. If we want to double for both this reason, and the - * reason above, then we end up multiplying by four. - */ - - /* 9 */ - out[0] += ((uint128_t) in[1]) * inx4[8] + - ((uint128_t) in[2]) * inx4[7] + - ((uint128_t) in[3]) * inx4[6] + ((uint128_t) in[4]) * inx4[5]; - - /* 10 */ - out[1] += ((uint128_t) in[2]) * inx4[8] + - ((uint128_t) in[3]) * inx4[7] + - ((uint128_t) in[4]) * inx4[6] + ((uint128_t) in[5]) * inx2[5]; - - /* 11 */ - out[2] += ((uint128_t) in[3]) * inx4[8] + - ((uint128_t) in[4]) * inx4[7] + ((uint128_t) in[5]) * inx4[6]; - - /* 12 */ - out[3] += ((uint128_t) in[4]) * inx4[8] + - ((uint128_t) in[5]) * inx4[7] + ((uint128_t) in[6]) * inx2[6]; - - /* 13 */ - out[4] += ((uint128_t) in[5]) * inx4[8] + ((uint128_t) in[6]) * inx4[7]; - - /* 14 */ - out[5] += ((uint128_t) in[6]) * inx4[8] + ((uint128_t) in[7]) * inx2[7]; - - /* 15 */ - out[6] += ((uint128_t) in[7]) * inx4[8]; - - /* 16 */ - out[7] += ((uint128_t) in[8]) * inx2[8]; -} - -/*- - * felem_mul sets |out| = |in1| * |in2| - * On entry: - * in1[i] < 2^64 - * in2[i] < 2^63 - * On exit: - * out[i] < 17 * max(in1[i]) * max(in2[i]) - */ -static void felem_mul(largefelem out, const felem in1, const felem in2) -{ - felem in2x2; - felem_scalar(in2x2, in2, 2); - - out[0] = ((uint128_t) in1[0]) * in2[0]; - - out[1] = ((uint128_t) in1[0]) * in2[1] + ((uint128_t) in1[1]) * in2[0]; - - out[2] = ((uint128_t) in1[0]) * in2[2] + - ((uint128_t) in1[1]) * in2[1] + ((uint128_t) in1[2]) * in2[0]; - - out[3] = ((uint128_t) in1[0]) * in2[3] + - ((uint128_t) in1[1]) * in2[2] + - ((uint128_t) in1[2]) * in2[1] + ((uint128_t) in1[3]) * in2[0]; - - out[4] = ((uint128_t) in1[0]) * in2[4] + - ((uint128_t) in1[1]) * in2[3] + - ((uint128_t) in1[2]) * in2[2] + - ((uint128_t) in1[3]) * in2[1] + ((uint128_t) in1[4]) * in2[0]; - - out[5] = ((uint128_t) in1[0]) * in2[5] + - ((uint128_t) in1[1]) * in2[4] + - ((uint128_t) in1[2]) * in2[3] + - ((uint128_t) in1[3]) * in2[2] + - ((uint128_t) in1[4]) * in2[1] + ((uint128_t) in1[5]) * in2[0]; - - out[6] = ((uint128_t) in1[0]) * in2[6] + - ((uint128_t) in1[1]) * in2[5] + - ((uint128_t) in1[2]) * in2[4] + - ((uint128_t) in1[3]) * in2[3] + - ((uint128_t) in1[4]) * in2[2] + - ((uint128_t) in1[5]) * in2[1] + ((uint128_t) in1[6]) * in2[0]; - - out[7] = ((uint128_t) in1[0]) * in2[7] + - ((uint128_t) in1[1]) * in2[6] + - ((uint128_t) in1[2]) * in2[5] + - ((uint128_t) in1[3]) * in2[4] + - ((uint128_t) in1[4]) * in2[3] + - ((uint128_t) in1[5]) * in2[2] + - ((uint128_t) in1[6]) * in2[1] + ((uint128_t) in1[7]) * in2[0]; - - out[8] = ((uint128_t) in1[0]) * in2[8] + - ((uint128_t) in1[1]) * in2[7] + - ((uint128_t) in1[2]) * in2[6] + - ((uint128_t) in1[3]) * in2[5] + - ((uint128_t) in1[4]) * in2[4] + - ((uint128_t) in1[5]) * in2[3] + - ((uint128_t) in1[6]) * in2[2] + - ((uint128_t) in1[7]) * in2[1] + ((uint128_t) in1[8]) * in2[0]; - - /* See comment in felem_square about the use of in2x2 here */ - - out[0] += ((uint128_t) in1[1]) * in2x2[8] + - ((uint128_t) in1[2]) * in2x2[7] + - ((uint128_t) in1[3]) * in2x2[6] + - ((uint128_t) in1[4]) * in2x2[5] + - ((uint128_t) in1[5]) * in2x2[4] + - ((uint128_t) in1[6]) * in2x2[3] + - ((uint128_t) in1[7]) * in2x2[2] + ((uint128_t) in1[8]) * in2x2[1]; - - out[1] += ((uint128_t) in1[2]) * in2x2[8] + - ((uint128_t) in1[3]) * in2x2[7] + - ((uint128_t) in1[4]) * in2x2[6] + - ((uint128_t) in1[5]) * in2x2[5] + - ((uint128_t) in1[6]) * in2x2[4] + - ((uint128_t) in1[7]) * in2x2[3] + ((uint128_t) in1[8]) * in2x2[2]; - - out[2] += ((uint128_t) in1[3]) * in2x2[8] + - ((uint128_t) in1[4]) * in2x2[7] + - ((uint128_t) in1[5]) * in2x2[6] + - ((uint128_t) in1[6]) * in2x2[5] + - ((uint128_t) in1[7]) * in2x2[4] + ((uint128_t) in1[8]) * in2x2[3]; - - out[3] += ((uint128_t) in1[4]) * in2x2[8] + - ((uint128_t) in1[5]) * in2x2[7] + - ((uint128_t) in1[6]) * in2x2[6] + - ((uint128_t) in1[7]) * in2x2[5] + ((uint128_t) in1[8]) * in2x2[4]; - - out[4] += ((uint128_t) in1[5]) * in2x2[8] + - ((uint128_t) in1[6]) * in2x2[7] + - ((uint128_t) in1[7]) * in2x2[6] + ((uint128_t) in1[8]) * in2x2[5]; - - out[5] += ((uint128_t) in1[6]) * in2x2[8] + - ((uint128_t) in1[7]) * in2x2[7] + ((uint128_t) in1[8]) * in2x2[6]; - - out[6] += ((uint128_t) in1[7]) * in2x2[8] + - ((uint128_t) in1[8]) * in2x2[7]; - - out[7] += ((uint128_t) in1[8]) * in2x2[8]; -} - -static const limb bottom52bits = 0xfffffffffffff; - -/*- - * felem_reduce converts a largefelem to an felem. - * On entry: - * in[i] < 2^128 - * On exit: - * out[i] < 2^59 + 2^14 - */ -static void felem_reduce(felem out, const largefelem in) -{ - u64 overflow1, overflow2; - - out[0] = ((limb) in[0]) & bottom58bits; - out[1] = ((limb) in[1]) & bottom58bits; - out[2] = ((limb) in[2]) & bottom58bits; - out[3] = ((limb) in[3]) & bottom58bits; - out[4] = ((limb) in[4]) & bottom58bits; - out[5] = ((limb) in[5]) & bottom58bits; - out[6] = ((limb) in[6]) & bottom58bits; - out[7] = ((limb) in[7]) & bottom58bits; - out[8] = ((limb) in[8]) & bottom58bits; - - /* out[i] < 2^58 */ - - out[1] += ((limb) in[0]) >> 58; - out[1] += (((limb) (in[0] >> 64)) & bottom52bits) << 6; - /*- - * out[1] < 2^58 + 2^6 + 2^58 - * = 2^59 + 2^6 - */ - out[2] += ((limb) (in[0] >> 64)) >> 52; - - out[2] += ((limb) in[1]) >> 58; - out[2] += (((limb) (in[1] >> 64)) & bottom52bits) << 6; - out[3] += ((limb) (in[1] >> 64)) >> 52; - - out[3] += ((limb) in[2]) >> 58; - out[3] += (((limb) (in[2] >> 64)) & bottom52bits) << 6; - out[4] += ((limb) (in[2] >> 64)) >> 52; - - out[4] += ((limb) in[3]) >> 58; - out[4] += (((limb) (in[3] >> 64)) & bottom52bits) << 6; - out[5] += ((limb) (in[3] >> 64)) >> 52; - - out[5] += ((limb) in[4]) >> 58; - out[5] += (((limb) (in[4] >> 64)) & bottom52bits) << 6; - out[6] += ((limb) (in[4] >> 64)) >> 52; - - out[6] += ((limb) in[5]) >> 58; - out[6] += (((limb) (in[5] >> 64)) & bottom52bits) << 6; - out[7] += ((limb) (in[5] >> 64)) >> 52; - - out[7] += ((limb) in[6]) >> 58; - out[7] += (((limb) (in[6] >> 64)) & bottom52bits) << 6; - out[8] += ((limb) (in[6] >> 64)) >> 52; - - out[8] += ((limb) in[7]) >> 58; - out[8] += (((limb) (in[7] >> 64)) & bottom52bits) << 6; - /*- - * out[x > 1] < 2^58 + 2^6 + 2^58 + 2^12 - * < 2^59 + 2^13 - */ - overflow1 = ((limb) (in[7] >> 64)) >> 52; - - overflow1 += ((limb) in[8]) >> 58; - overflow1 += (((limb) (in[8] >> 64)) & bottom52bits) << 6; - overflow2 = ((limb) (in[8] >> 64)) >> 52; - - overflow1 <<= 1; /* overflow1 < 2^13 + 2^7 + 2^59 */ - overflow2 <<= 1; /* overflow2 < 2^13 */ - - out[0] += overflow1; /* out[0] < 2^60 */ - out[1] += overflow2; /* out[1] < 2^59 + 2^6 + 2^13 */ - - out[1] += out[0] >> 58; - out[0] &= bottom58bits; - /*- - * out[0] < 2^58 - * out[1] < 2^59 + 2^6 + 2^13 + 2^2 - * < 2^59 + 2^14 - */ -} - -static void felem_square_reduce(felem out, const felem in) -{ - largefelem tmp; - felem_square(tmp, in); - felem_reduce(out, tmp); -} - -static void felem_mul_reduce(felem out, const felem in1, const felem in2) -{ - largefelem tmp; - felem_mul(tmp, in1, in2); - felem_reduce(out, tmp); -} - -/*- - * felem_inv calculates |out| = |in|^{-1} - * - * Based on Fermat's Little Theorem: - * a^p = a (mod p) - * a^{p-1} = 1 (mod p) - * a^{p-2} = a^{-1} (mod p) - */ -static void felem_inv(felem out, const felem in) -{ - felem ftmp, ftmp2, ftmp3, ftmp4; - largefelem tmp; - unsigned i; - - felem_square(tmp, in); - felem_reduce(ftmp, tmp); /* 2^1 */ - felem_mul(tmp, in, ftmp); - felem_reduce(ftmp, tmp); /* 2^2 - 2^0 */ - felem_assign(ftmp2, ftmp); - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); /* 2^3 - 2^1 */ - felem_mul(tmp, in, ftmp); - felem_reduce(ftmp, tmp); /* 2^3 - 2^0 */ - felem_square(tmp, ftmp); - felem_reduce(ftmp, tmp); /* 2^4 - 2^1 */ - - felem_square(tmp, ftmp2); - felem_reduce(ftmp3, tmp); /* 2^3 - 2^1 */ - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); /* 2^4 - 2^2 */ - felem_mul(tmp, ftmp3, ftmp2); - felem_reduce(ftmp3, tmp); /* 2^4 - 2^0 */ - - felem_assign(ftmp2, ftmp3); - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); /* 2^5 - 2^1 */ - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); /* 2^6 - 2^2 */ - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); /* 2^7 - 2^3 */ - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); /* 2^8 - 2^4 */ - felem_assign(ftmp4, ftmp3); - felem_mul(tmp, ftmp3, ftmp); - felem_reduce(ftmp4, tmp); /* 2^8 - 2^1 */ - felem_square(tmp, ftmp4); - felem_reduce(ftmp4, tmp); /* 2^9 - 2^2 */ - felem_mul(tmp, ftmp3, ftmp2); - felem_reduce(ftmp3, tmp); /* 2^8 - 2^0 */ - felem_assign(ftmp2, ftmp3); - - for (i = 0; i < 8; i++) { - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); /* 2^16 - 2^8 */ - } - felem_mul(tmp, ftmp3, ftmp2); - felem_reduce(ftmp3, tmp); /* 2^16 - 2^0 */ - felem_assign(ftmp2, ftmp3); - - for (i = 0; i < 16; i++) { - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); /* 2^32 - 2^16 */ - } - felem_mul(tmp, ftmp3, ftmp2); - felem_reduce(ftmp3, tmp); /* 2^32 - 2^0 */ - felem_assign(ftmp2, ftmp3); - - for (i = 0; i < 32; i++) { - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); /* 2^64 - 2^32 */ - } - felem_mul(tmp, ftmp3, ftmp2); - felem_reduce(ftmp3, tmp); /* 2^64 - 2^0 */ - felem_assign(ftmp2, ftmp3); - - for (i = 0; i < 64; i++) { - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); /* 2^128 - 2^64 */ - } - felem_mul(tmp, ftmp3, ftmp2); - felem_reduce(ftmp3, tmp); /* 2^128 - 2^0 */ - felem_assign(ftmp2, ftmp3); - - for (i = 0; i < 128; i++) { - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); /* 2^256 - 2^128 */ - } - felem_mul(tmp, ftmp3, ftmp2); - felem_reduce(ftmp3, tmp); /* 2^256 - 2^0 */ - felem_assign(ftmp2, ftmp3); - - for (i = 0; i < 256; i++) { - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); /* 2^512 - 2^256 */ - } - felem_mul(tmp, ftmp3, ftmp2); - felem_reduce(ftmp3, tmp); /* 2^512 - 2^0 */ - - for (i = 0; i < 9; i++) { - felem_square(tmp, ftmp3); - felem_reduce(ftmp3, tmp); /* 2^521 - 2^9 */ - } - felem_mul(tmp, ftmp3, ftmp4); - felem_reduce(ftmp3, tmp); /* 2^512 - 2^2 */ - felem_mul(tmp, ftmp3, in); - felem_reduce(out, tmp); /* 2^512 - 3 */ -} - -/* This is 2^521-1, expressed as an felem */ -static const felem kPrime = { - 0x03ffffffffffffff, 0x03ffffffffffffff, 0x03ffffffffffffff, - 0x03ffffffffffffff, 0x03ffffffffffffff, 0x03ffffffffffffff, - 0x03ffffffffffffff, 0x03ffffffffffffff, 0x01ffffffffffffff -}; - -/*- - * felem_is_zero returns a limb with all bits set if |in| == 0 (mod p) and 0 - * otherwise. - * On entry: - * in[i] < 2^59 + 2^14 - */ -static limb felem_is_zero(const felem in) -{ - felem ftmp; - limb is_zero, is_p; - felem_assign(ftmp, in); - - ftmp[0] += ftmp[8] >> 57; - ftmp[8] &= bottom57bits; - /* ftmp[8] < 2^57 */ - ftmp[1] += ftmp[0] >> 58; - ftmp[0] &= bottom58bits; - ftmp[2] += ftmp[1] >> 58; - ftmp[1] &= bottom58bits; - ftmp[3] += ftmp[2] >> 58; - ftmp[2] &= bottom58bits; - ftmp[4] += ftmp[3] >> 58; - ftmp[3] &= bottom58bits; - ftmp[5] += ftmp[4] >> 58; - ftmp[4] &= bottom58bits; - ftmp[6] += ftmp[5] >> 58; - ftmp[5] &= bottom58bits; - ftmp[7] += ftmp[6] >> 58; - ftmp[6] &= bottom58bits; - ftmp[8] += ftmp[7] >> 58; - ftmp[7] &= bottom58bits; - /* ftmp[8] < 2^57 + 4 */ - - /* - * The ninth limb of 2*(2^521-1) is 0x03ffffffffffffff, which is greater - * than our bound for ftmp[8]. Therefore we only have to check if the - * zero is zero or 2^521-1. - */ - - is_zero = 0; - is_zero |= ftmp[0]; - is_zero |= ftmp[1]; - is_zero |= ftmp[2]; - is_zero |= ftmp[3]; - is_zero |= ftmp[4]; - is_zero |= ftmp[5]; - is_zero |= ftmp[6]; - is_zero |= ftmp[7]; - is_zero |= ftmp[8]; - - is_zero--; - /* - * We know that ftmp[i] < 2^63, therefore the only way that the top bit - * can be set is if is_zero was 0 before the decrement. - */ - is_zero = ((s64) is_zero) >> 63; - - is_p = ftmp[0] ^ kPrime[0]; - is_p |= ftmp[1] ^ kPrime[1]; - is_p |= ftmp[2] ^ kPrime[2]; - is_p |= ftmp[3] ^ kPrime[3]; - is_p |= ftmp[4] ^ kPrime[4]; - is_p |= ftmp[5] ^ kPrime[5]; - is_p |= ftmp[6] ^ kPrime[6]; - is_p |= ftmp[7] ^ kPrime[7]; - is_p |= ftmp[8] ^ kPrime[8]; - - is_p--; - is_p = ((s64) is_p) >> 63; - - is_zero |= is_p; - return is_zero; -} - -static int felem_is_zero_int(const felem in) -{ - return (int)(felem_is_zero(in) & ((limb) 1)); -} - -/*- - * felem_contract converts |in| to its unique, minimal representation. - * On entry: - * in[i] < 2^59 + 2^14 - */ -static void felem_contract(felem out, const felem in) -{ - limb is_p, is_greater, sign; - static const limb two58 = ((limb) 1) << 58; - - felem_assign(out, in); - - out[0] += out[8] >> 57; - out[8] &= bottom57bits; - /* out[8] < 2^57 */ - out[1] += out[0] >> 58; - out[0] &= bottom58bits; - out[2] += out[1] >> 58; - out[1] &= bottom58bits; - out[3] += out[2] >> 58; - out[2] &= bottom58bits; - out[4] += out[3] >> 58; - out[3] &= bottom58bits; - out[5] += out[4] >> 58; - out[4] &= bottom58bits; - out[6] += out[5] >> 58; - out[5] &= bottom58bits; - out[7] += out[6] >> 58; - out[6] &= bottom58bits; - out[8] += out[7] >> 58; - out[7] &= bottom58bits; - /* out[8] < 2^57 + 4 */ - - /* - * If the value is greater than 2^521-1 then we have to subtract 2^521-1 - * out. See the comments in felem_is_zero regarding why we don't test for - * other multiples of the prime. - */ - - /* - * First, if |out| is equal to 2^521-1, we subtract it out to get zero. - */ - - is_p = out[0] ^ kPrime[0]; - is_p |= out[1] ^ kPrime[1]; - is_p |= out[2] ^ kPrime[2]; - is_p |= out[3] ^ kPrime[3]; - is_p |= out[4] ^ kPrime[4]; - is_p |= out[5] ^ kPrime[5]; - is_p |= out[6] ^ kPrime[6]; - is_p |= out[7] ^ kPrime[7]; - is_p |= out[8] ^ kPrime[8]; - - is_p--; - is_p &= is_p << 32; - is_p &= is_p << 16; - is_p &= is_p << 8; - is_p &= is_p << 4; - is_p &= is_p << 2; - is_p &= is_p << 1; - is_p = ((s64) is_p) >> 63; - is_p = ~is_p; - - /* is_p is 0 iff |out| == 2^521-1 and all ones otherwise */ - - out[0] &= is_p; - out[1] &= is_p; - out[2] &= is_p; - out[3] &= is_p; - out[4] &= is_p; - out[5] &= is_p; - out[6] &= is_p; - out[7] &= is_p; - out[8] &= is_p; - - /* - * In order to test that |out| >= 2^521-1 we need only test if out[8] >> - * 57 is greater than zero as (2^521-1) + x >= 2^522 - */ - is_greater = out[8] >> 57; - is_greater |= is_greater << 32; - is_greater |= is_greater << 16; - is_greater |= is_greater << 8; - is_greater |= is_greater << 4; - is_greater |= is_greater << 2; - is_greater |= is_greater << 1; - is_greater = ((s64) is_greater) >> 63; - - out[0] -= kPrime[0] & is_greater; - out[1] -= kPrime[1] & is_greater; - out[2] -= kPrime[2] & is_greater; - out[3] -= kPrime[3] & is_greater; - out[4] -= kPrime[4] & is_greater; - out[5] -= kPrime[5] & is_greater; - out[6] -= kPrime[6] & is_greater; - out[7] -= kPrime[7] & is_greater; - out[8] -= kPrime[8] & is_greater; - - /* Eliminate negative coefficients */ - sign = -(out[0] >> 63); - out[0] += (two58 & sign); - out[1] -= (1 & sign); - sign = -(out[1] >> 63); - out[1] += (two58 & sign); - out[2] -= (1 & sign); - sign = -(out[2] >> 63); - out[2] += (two58 & sign); - out[3] -= (1 & sign); - sign = -(out[3] >> 63); - out[3] += (two58 & sign); - out[4] -= (1 & sign); - sign = -(out[4] >> 63); - out[4] += (two58 & sign); - out[5] -= (1 & sign); - sign = -(out[0] >> 63); - out[5] += (two58 & sign); - out[6] -= (1 & sign); - sign = -(out[6] >> 63); - out[6] += (two58 & sign); - out[7] -= (1 & sign); - sign = -(out[7] >> 63); - out[7] += (two58 & sign); - out[8] -= (1 & sign); - sign = -(out[5] >> 63); - out[5] += (two58 & sign); - out[6] -= (1 & sign); - sign = -(out[6] >> 63); - out[6] += (two58 & sign); - out[7] -= (1 & sign); - sign = -(out[7] >> 63); - out[7] += (two58 & sign); - out[8] -= (1 & sign); -} - -/*- - * Group operations - * ---------------- - * - * Building on top of the field operations we have the operations on the - * elliptic curve group itself. Points on the curve are represented in Jacobian - * coordinates */ - -/*- - * point_double calcuates 2*(x_in, y_in, z_in) - * - * The method is taken from: - * http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-dbl-2001-b - * - * Outputs can equal corresponding inputs, i.e., x_out == x_in is allowed. - * while x_out == y_in is not (maybe this works, but it's not tested). */ -static void -point_double(felem x_out, felem y_out, felem z_out, - const felem x_in, const felem y_in, const felem z_in) -{ - largefelem tmp, tmp2; - felem delta, gamma, beta, alpha, ftmp, ftmp2; - - felem_assign(ftmp, x_in); - felem_assign(ftmp2, x_in); - - /* delta = z^2 */ - felem_square(tmp, z_in); - felem_reduce(delta, tmp); /* delta[i] < 2^59 + 2^14 */ - - /* gamma = y^2 */ - felem_square(tmp, y_in); - felem_reduce(gamma, tmp); /* gamma[i] < 2^59 + 2^14 */ - - /* beta = x*gamma */ - felem_mul(tmp, x_in, gamma); - felem_reduce(beta, tmp); /* beta[i] < 2^59 + 2^14 */ - - /* alpha = 3*(x-delta)*(x+delta) */ - felem_diff64(ftmp, delta); - /* ftmp[i] < 2^61 */ - felem_sum64(ftmp2, delta); - /* ftmp2[i] < 2^60 + 2^15 */ - felem_scalar64(ftmp2, 3); - /* ftmp2[i] < 3*2^60 + 3*2^15 */ - felem_mul(tmp, ftmp, ftmp2); - /*- - * tmp[i] < 17(3*2^121 + 3*2^76) - * = 61*2^121 + 61*2^76 - * < 64*2^121 + 64*2^76 - * = 2^127 + 2^82 - * < 2^128 - */ - felem_reduce(alpha, tmp); - - /* x' = alpha^2 - 8*beta */ - felem_square(tmp, alpha); - /* - * tmp[i] < 17*2^120 < 2^125 - */ - felem_assign(ftmp, beta); - felem_scalar64(ftmp, 8); - /* ftmp[i] < 2^62 + 2^17 */ - felem_diff_128_64(tmp, ftmp); - /* tmp[i] < 2^125 + 2^63 + 2^62 + 2^17 */ - felem_reduce(x_out, tmp); - - /* z' = (y + z)^2 - gamma - delta */ - felem_sum64(delta, gamma); - /* delta[i] < 2^60 + 2^15 */ - felem_assign(ftmp, y_in); - felem_sum64(ftmp, z_in); - /* ftmp[i] < 2^60 + 2^15 */ - felem_square(tmp, ftmp); - /* - * tmp[i] < 17(2^122) < 2^127 - */ - felem_diff_128_64(tmp, delta); - /* tmp[i] < 2^127 + 2^63 */ - felem_reduce(z_out, tmp); - - /* y' = alpha*(4*beta - x') - 8*gamma^2 */ - felem_scalar64(beta, 4); - /* beta[i] < 2^61 + 2^16 */ - felem_diff64(beta, x_out); - /* beta[i] < 2^61 + 2^60 + 2^16 */ - felem_mul(tmp, alpha, beta); - /*- - * tmp[i] < 17*((2^59 + 2^14)(2^61 + 2^60 + 2^16)) - * = 17*(2^120 + 2^75 + 2^119 + 2^74 + 2^75 + 2^30) - * = 17*(2^120 + 2^119 + 2^76 + 2^74 + 2^30) - * < 2^128 - */ - felem_square(tmp2, gamma); - /*- - * tmp2[i] < 17*(2^59 + 2^14)^2 - * = 17*(2^118 + 2^74 + 2^28) - */ - felem_scalar128(tmp2, 8); - /*- - * tmp2[i] < 8*17*(2^118 + 2^74 + 2^28) - * = 2^125 + 2^121 + 2^81 + 2^77 + 2^35 + 2^31 - * < 2^126 - */ - felem_diff128(tmp, tmp2); - /*- - * tmp[i] < 2^127 - 2^69 + 17(2^120 + 2^119 + 2^76 + 2^74 + 2^30) - * = 2^127 + 2^124 + 2^122 + 2^120 + 2^118 + 2^80 + 2^78 + 2^76 + - * 2^74 + 2^69 + 2^34 + 2^30 - * < 2^128 - */ - felem_reduce(y_out, tmp); -} - -/* copy_conditional copies in to out iff mask is all ones. */ -static void copy_conditional(felem out, const felem in, limb mask) -{ - unsigned i; - for (i = 0; i < NLIMBS; ++i) { - const limb tmp = mask & (in[i] ^ out[i]); - out[i] ^= tmp; - } -} - -/*- - * point_add calcuates (x1, y1, z1) + (x2, y2, z2) - * - * The method is taken from - * http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#addition-add-2007-bl, - * adapted for mixed addition (z2 = 1, or z2 = 0 for the point at infinity). - * - * This function includes a branch for checking whether the two input points - * are equal (while not equal to the point at infinity). This case never - * happens during single point multiplication, so there is no timing leak for - * ECDH or ECDSA signing. */ -static void point_add(felem x3, felem y3, felem z3, - const felem x1, const felem y1, const felem z1, - const int mixed, const felem x2, const felem y2, - const felem z2) -{ - felem ftmp, ftmp2, ftmp3, ftmp4, ftmp5, ftmp6, x_out, y_out, z_out; - largefelem tmp, tmp2; - limb x_equal, y_equal, z1_is_zero, z2_is_zero; - - z1_is_zero = felem_is_zero(z1); - z2_is_zero = felem_is_zero(z2); - - /* ftmp = z1z1 = z1**2 */ - felem_square(tmp, z1); - felem_reduce(ftmp, tmp); - - if (!mixed) { - /* ftmp2 = z2z2 = z2**2 */ - felem_square(tmp, z2); - felem_reduce(ftmp2, tmp); - - /* u1 = ftmp3 = x1*z2z2 */ - felem_mul(tmp, x1, ftmp2); - felem_reduce(ftmp3, tmp); - - /* ftmp5 = z1 + z2 */ - felem_assign(ftmp5, z1); - felem_sum64(ftmp5, z2); - /* ftmp5[i] < 2^61 */ - - /* ftmp5 = (z1 + z2)**2 - z1z1 - z2z2 = 2*z1z2 */ - felem_square(tmp, ftmp5); - /* tmp[i] < 17*2^122 */ - felem_diff_128_64(tmp, ftmp); - /* tmp[i] < 17*2^122 + 2^63 */ - felem_diff_128_64(tmp, ftmp2); - /* tmp[i] < 17*2^122 + 2^64 */ - felem_reduce(ftmp5, tmp); - - /* ftmp2 = z2 * z2z2 */ - felem_mul(tmp, ftmp2, z2); - felem_reduce(ftmp2, tmp); - - /* s1 = ftmp6 = y1 * z2**3 */ - felem_mul(tmp, y1, ftmp2); - felem_reduce(ftmp6, tmp); - } else { - /* - * We'll assume z2 = 1 (special case z2 = 0 is handled later) - */ - - /* u1 = ftmp3 = x1*z2z2 */ - felem_assign(ftmp3, x1); - - /* ftmp5 = 2*z1z2 */ - felem_scalar(ftmp5, z1, 2); - - /* s1 = ftmp6 = y1 * z2**3 */ - felem_assign(ftmp6, y1); - } - - /* u2 = x2*z1z1 */ - felem_mul(tmp, x2, ftmp); - /* tmp[i] < 17*2^120 */ - - /* h = ftmp4 = u2 - u1 */ - felem_diff_128_64(tmp, ftmp3); - /* tmp[i] < 17*2^120 + 2^63 */ - felem_reduce(ftmp4, tmp); - - x_equal = felem_is_zero(ftmp4); - - /* z_out = ftmp5 * h */ - felem_mul(tmp, ftmp5, ftmp4); - felem_reduce(z_out, tmp); - - /* ftmp = z1 * z1z1 */ - felem_mul(tmp, ftmp, z1); - felem_reduce(ftmp, tmp); - - /* s2 = tmp = y2 * z1**3 */ - felem_mul(tmp, y2, ftmp); - /* tmp[i] < 17*2^120 */ - - /* r = ftmp5 = (s2 - s1)*2 */ - felem_diff_128_64(tmp, ftmp6); - /* tmp[i] < 17*2^120 + 2^63 */ - felem_reduce(ftmp5, tmp); - y_equal = felem_is_zero(ftmp5); - felem_scalar64(ftmp5, 2); - /* ftmp5[i] < 2^61 */ - - if (x_equal && y_equal && !z1_is_zero && !z2_is_zero) { - point_double(x3, y3, z3, x1, y1, z1); - return; - } - - /* I = ftmp = (2h)**2 */ - felem_assign(ftmp, ftmp4); - felem_scalar64(ftmp, 2); - /* ftmp[i] < 2^61 */ - felem_square(tmp, ftmp); - /* tmp[i] < 17*2^122 */ - felem_reduce(ftmp, tmp); - - /* J = ftmp2 = h * I */ - felem_mul(tmp, ftmp4, ftmp); - felem_reduce(ftmp2, tmp); - - /* V = ftmp4 = U1 * I */ - felem_mul(tmp, ftmp3, ftmp); - felem_reduce(ftmp4, tmp); - - /* x_out = r**2 - J - 2V */ - felem_square(tmp, ftmp5); - /* tmp[i] < 17*2^122 */ - felem_diff_128_64(tmp, ftmp2); - /* tmp[i] < 17*2^122 + 2^63 */ - felem_assign(ftmp3, ftmp4); - felem_scalar64(ftmp4, 2); - /* ftmp4[i] < 2^61 */ - felem_diff_128_64(tmp, ftmp4); - /* tmp[i] < 17*2^122 + 2^64 */ - felem_reduce(x_out, tmp); - - /* y_out = r(V-x_out) - 2 * s1 * J */ - felem_diff64(ftmp3, x_out); - /* - * ftmp3[i] < 2^60 + 2^60 = 2^61 - */ - felem_mul(tmp, ftmp5, ftmp3); - /* tmp[i] < 17*2^122 */ - felem_mul(tmp2, ftmp6, ftmp2); - /* tmp2[i] < 17*2^120 */ - felem_scalar128(tmp2, 2); - /* tmp2[i] < 17*2^121 */ - felem_diff128(tmp, tmp2); - /*- - * tmp[i] < 2^127 - 2^69 + 17*2^122 - * = 2^126 - 2^122 - 2^6 - 2^2 - 1 - * < 2^127 - */ - felem_reduce(y_out, tmp); - - copy_conditional(x_out, x2, z1_is_zero); - copy_conditional(x_out, x1, z2_is_zero); - copy_conditional(y_out, y2, z1_is_zero); - copy_conditional(y_out, y1, z2_is_zero); - copy_conditional(z_out, z2, z1_is_zero); - copy_conditional(z_out, z1, z2_is_zero); - felem_assign(x3, x_out); - felem_assign(y3, y_out); - felem_assign(z3, z_out); -} - -/*- - * Base point pre computation - * -------------------------- - * - * Two different sorts of precomputed tables are used in the following code. - * Each contain various points on the curve, where each point is three field - * elements (x, y, z). - * - * For the base point table, z is usually 1 (0 for the point at infinity). - * This table has 16 elements: - * index | bits | point - * ------+---------+------------------------------ - * 0 | 0 0 0 0 | 0G - * 1 | 0 0 0 1 | 1G - * 2 | 0 0 1 0 | 2^130G - * 3 | 0 0 1 1 | (2^130 + 1)G - * 4 | 0 1 0 0 | 2^260G - * 5 | 0 1 0 1 | (2^260 + 1)G - * 6 | 0 1 1 0 | (2^260 + 2^130)G - * 7 | 0 1 1 1 | (2^260 + 2^130 + 1)G - * 8 | 1 0 0 0 | 2^390G - * 9 | 1 0 0 1 | (2^390 + 1)G - * 10 | 1 0 1 0 | (2^390 + 2^130)G - * 11 | 1 0 1 1 | (2^390 + 2^130 + 1)G - * 12 | 1 1 0 0 | (2^390 + 2^260)G - * 13 | 1 1 0 1 | (2^390 + 2^260 + 1)G - * 14 | 1 1 1 0 | (2^390 + 2^260 + 2^130)G - * 15 | 1 1 1 1 | (2^390 + 2^260 + 2^130 + 1)G - * - * The reason for this is so that we can clock bits into four different - * locations when doing simple scalar multiplies against the base point. - * - * Tables for other points have table[i] = iG for i in 0 .. 16. */ - -/* gmul is the table of precomputed base points */ -static const felem gmul[16][3] = { {{0, 0, 0, 0, 0, 0, 0, 0, 0}, - {0, 0, 0, 0, 0, 0, 0, 0, 0}, - {0, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x017e7e31c2e5bd66, 0x022cf0615a90a6fe, 0x00127a2ffa8de334, - 0x01dfbf9d64a3f877, 0x006b4d3dbaa14b5e, 0x014fed487e0a2bd8, - 0x015b4429c6481390, 0x03a73678fb2d988e, 0x00c6858e06b70404}, - {0x00be94769fd16650, 0x031c21a89cb09022, 0x039013fad0761353, - 0x02657bd099031542, 0x03273e662c97ee72, 0x01e6d11a05ebef45, - 0x03d1bd998f544495, 0x03001172297ed0b1, 0x011839296a789a3b}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x0373faacbc875bae, 0x00f325023721c671, 0x00f666fd3dbde5ad, - 0x01a6932363f88ea7, 0x01fc6d9e13f9c47b, 0x03bcbffc2bbf734e, - 0x013ee3c3647f3a92, 0x029409fefe75d07d, 0x00ef9199963d85e5}, - {0x011173743ad5b178, 0x02499c7c21bf7d46, 0x035beaeabb8b1a58, - 0x00f989c4752ea0a3, 0x0101e1de48a9c1a3, 0x01a20076be28ba6c, - 0x02f8052e5eb2de95, 0x01bfe8f82dea117c, 0x0160074d3c36ddb7}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x012f3fc373393b3b, 0x03d3d6172f1419fa, 0x02adc943c0b86873, - 0x00d475584177952b, 0x012a4d1673750ee2, 0x00512517a0f13b0c, - 0x02b184671a7b1734, 0x0315b84236f1a50a, 0x00a4afc472edbdb9}, - {0x00152a7077f385c4, 0x03044007d8d1c2ee, 0x0065829d61d52b52, - 0x00494ff6b6631d0d, 0x00a11d94d5f06bcf, 0x02d2f89474d9282e, - 0x0241c5727c06eeb9, 0x0386928710fbdb9d, 0x01f883f727b0dfbe}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x019b0c3c9185544d, 0x006243a37c9d97db, 0x02ee3cbe030a2ad2, - 0x00cfdd946bb51e0d, 0x0271c00932606b91, 0x03f817d1ec68c561, - 0x03f37009806a369c, 0x03c1f30baf184fd5, 0x01091022d6d2f065}, - {0x0292c583514c45ed, 0x0316fca51f9a286c, 0x00300af507c1489a, - 0x0295f69008298cf1, 0x02c0ed8274943d7b, 0x016509b9b47a431e, - 0x02bc9de9634868ce, 0x005b34929bffcb09, 0x000c1a0121681524}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x0286abc0292fb9f2, 0x02665eee9805b3f7, 0x01ed7455f17f26d6, - 0x0346355b83175d13, 0x006284944cd0a097, 0x0191895bcdec5e51, - 0x02e288370afda7d9, 0x03b22312bfefa67a, 0x01d104d3fc0613fe}, - {0x0092421a12f7e47f, 0x0077a83fa373c501, 0x03bd25c5f696bd0d, - 0x035c41e4d5459761, 0x01ca0d1742b24f53, 0x00aaab27863a509c, - 0x018b6de47df73917, 0x025c0b771705cd01, 0x01fd51d566d760a7}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x01dd92ff6b0d1dbd, 0x039c5e2e8f8afa69, 0x0261ed13242c3b27, - 0x0382c6e67026e6a0, 0x01d60b10be2089f9, 0x03c15f3dce86723f, - 0x03c764a32d2a062d, 0x017307eac0fad056, 0x018207c0b96c5256}, - {0x0196a16d60e13154, 0x03e6ce74c0267030, 0x00ddbf2b4e52a5aa, - 0x012738241bbf31c8, 0x00ebe8dc04685a28, 0x024c2ad6d380d4a2, - 0x035ee062a6e62d0e, 0x0029ed74af7d3a0f, 0x00eef32aec142ebd}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x00c31ec398993b39, 0x03a9f45bcda68253, 0x00ac733c24c70890, - 0x00872b111401ff01, 0x01d178c23195eafb, 0x03bca2c816b87f74, - 0x0261a9af46fbad7a, 0x0324b2a8dd3d28f9, 0x00918121d8f24e23}, - {0x032bc8c1ca983cd7, 0x00d869dfb08fc8c6, 0x01693cb61fce1516, - 0x012a5ea68f4e88a8, 0x010869cab88d7ae3, 0x009081ad277ceee1, - 0x033a77166d064cdc, 0x03955235a1fb3a95, 0x01251a4a9b25b65e}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x00148a3a1b27f40b, 0x0123186df1b31fdc, 0x00026e7beaad34ce, - 0x01db446ac1d3dbba, 0x0299c1a33437eaec, 0x024540610183cbb7, - 0x0173bb0e9ce92e46, 0x02b937e43921214b, 0x01ab0436a9bf01b5}, - {0x0383381640d46948, 0x008dacbf0e7f330f, 0x03602122bcc3f318, - 0x01ee596b200620d6, 0x03bd0585fda430b3, 0x014aed77fd123a83, - 0x005ace749e52f742, 0x0390fe041da2b842, 0x0189a8ceb3299242}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x012a19d6b3282473, 0x00c0915918b423ce, 0x023a954eb94405ae, - 0x00529f692be26158, 0x0289fa1b6fa4b2aa, 0x0198ae4ceea346ef, - 0x0047d8cdfbdedd49, 0x00cc8c8953f0f6b8, 0x001424abbff49203}, - {0x0256732a1115a03a, 0x0351bc38665c6733, 0x03f7b950fb4a6447, - 0x000afffa94c22155, 0x025763d0a4dab540, 0x000511e92d4fc283, - 0x030a7e9eda0ee96c, 0x004c3cd93a28bf0a, 0x017edb3a8719217f}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x011de5675a88e673, 0x031d7d0f5e567fbe, 0x0016b2062c970ae5, - 0x03f4a2be49d90aa7, 0x03cef0bd13822866, 0x03f0923dcf774a6c, - 0x0284bebc4f322f72, 0x016ab2645302bb2c, 0x01793f95dace0e2a}, - {0x010646e13527a28f, 0x01ca1babd59dc5e7, 0x01afedfd9a5595df, - 0x01f15785212ea6b1, 0x0324e5d64f6ae3f4, 0x02d680f526d00645, - 0x0127920fadf627a7, 0x03b383f75df4f684, 0x0089e0057e783b0a}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x00f334b9eb3c26c6, 0x0298fdaa98568dce, 0x01c2d24843a82292, - 0x020bcb24fa1b0711, 0x02cbdb3d2b1875e6, 0x0014907598f89422, - 0x03abe3aa43b26664, 0x02cbf47f720bc168, 0x0133b5e73014b79b}, - {0x034aab5dab05779d, 0x00cdc5d71fee9abb, 0x0399f16bd4bd9d30, - 0x03582fa592d82647, 0x02be1cdfb775b0e9, 0x0034f7cea32e94cb, - 0x0335a7f08f56f286, 0x03b707e9565d1c8b, 0x0015c946ea5b614f}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x024676f6cff72255, 0x00d14625cac96378, 0x00532b6008bc3767, - 0x01fc16721b985322, 0x023355ea1b091668, 0x029de7afdc0317c3, - 0x02fc8a7ca2da037c, 0x02de1217d74a6f30, 0x013f7173175b73bf}, - {0x0344913f441490b5, 0x0200f9e272b61eca, 0x0258a246b1dd55d2, - 0x03753db9ea496f36, 0x025e02937a09c5ef, 0x030cbd3d14012692, - 0x01793a67e70dc72a, 0x03ec1d37048a662e, 0x006550f700c32a8d}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x00d3f48a347eba27, 0x008e636649b61bd8, 0x00d3b93716778fb3, - 0x004d1915757bd209, 0x019d5311a3da44e0, 0x016d1afcbbe6aade, - 0x0241bf5f73265616, 0x0384672e5d50d39b, 0x005009fee522b684}, - {0x029b4fab064435fe, 0x018868ee095bbb07, 0x01ea3d6936cc92b8, - 0x000608b00f78a2f3, 0x02db911073d1c20f, 0x018205938470100a, - 0x01f1e4964cbe6ff2, 0x021a19a29eed4663, 0x01414485f42afa81}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x01612b3a17f63e34, 0x03813992885428e6, 0x022b3c215b5a9608, - 0x029b4057e19f2fcb, 0x0384059a587af7e6, 0x02d6400ace6fe610, - 0x029354d896e8e331, 0x00c047ee6dfba65e, 0x0037720542e9d49d}, - {0x02ce9eed7c5e9278, 0x0374ed703e79643b, 0x01316c54c4072006, - 0x005aaa09054b2ee8, 0x002824000c840d57, 0x03d4eba24771ed86, - 0x0189c50aabc3bdae, 0x0338c01541e15510, 0x00466d56e38eed42}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}}, -{{0x007efd8330ad8bd6, 0x02465ed48047710b, 0x0034c6606b215e0c, - 0x016ae30c53cbf839, 0x01fa17bd37161216, 0x018ead4e61ce8ab9, - 0x005482ed5f5dee46, 0x037543755bba1d7f, 0x005e5ac7e70a9d0f}, - {0x0117e1bb2fdcb2a2, 0x03deea36249f40c4, 0x028d09b4a6246cb7, - 0x03524b8855bcf756, 0x023d7d109d5ceb58, 0x0178e43e3223ef9c, - 0x0154536a0c6e966a, 0x037964d1286ee9fe, 0x0199bcd90e125055}, - {1, 0, 0, 0, 0, 0, 0, 0, 0}} -}; - -/* - * select_point selects the |idx|th point from a precomputation table and - * copies it to out. - */ - /* pre_comp below is of the size provided in |size| */ -static void select_point(const limb idx, unsigned int size, - const felem pre_comp[][3], felem out[3]) -{ - unsigned i, j; - limb *outlimbs = &out[0][0]; - memset(outlimbs, 0, 3 * sizeof(felem)); - - for (i = 0; i < size; i++) { - const limb *inlimbs = &pre_comp[i][0][0]; - limb mask = i ^ idx; - mask |= mask >> 4; - mask |= mask >> 2; - mask |= mask >> 1; - mask &= 1; - mask--; - for (j = 0; j < NLIMBS * 3; j++) - outlimbs[j] |= inlimbs[j] & mask; - } -} - -/* get_bit returns the |i|th bit in |in| */ -static char get_bit(const felem_bytearray in, int i) -{ - if (i < 0) - return 0; - return (in[i >> 3] >> (i & 7)) & 1; -} - -/* - * Interleaved point multiplication using precomputed point multiples: The - * small point multiples 0*P, 1*P, ..., 16*P are in pre_comp[], the scalars - * in scalars[]. If g_scalar is non-NULL, we also add this multiple of the - * generator, using certain (large) precomputed multiples in g_pre_comp. - * Output point (X, Y, Z) is stored in x_out, y_out, z_out - */ -static void batch_mul(felem x_out, felem y_out, felem z_out, - const felem_bytearray scalars[], - const unsigned num_points, const u8 *g_scalar, - const int mixed, const felem pre_comp[][17][3], - const felem g_pre_comp[16][3]) -{ - int i, skip; - unsigned num, gen_mul = (g_scalar != NULL); - felem nq[3], tmp[4]; - limb bits; - u8 sign, digit; - - /* set nq to the point at infinity */ - memset(nq, 0, 3 * sizeof(felem)); - - /* - * Loop over all scalars msb-to-lsb, interleaving additions of multiples - * of the generator (last quarter of rounds) and additions of other - * points multiples (every 5th round). - */ - skip = 1; /* save two point operations in the first - * round */ - for (i = (num_points ? 520 : 130); i >= 0; --i) { - /* double */ - if (!skip) - point_double(nq[0], nq[1], nq[2], nq[0], nq[1], nq[2]); - - /* add multiples of the generator */ - if (gen_mul && (i <= 130)) { - bits = get_bit(g_scalar, i + 390) << 3; - if (i < 130) { - bits |= get_bit(g_scalar, i + 260) << 2; - bits |= get_bit(g_scalar, i + 130) << 1; - bits |= get_bit(g_scalar, i); - } - /* select the point to add, in constant time */ - select_point(bits, 16, g_pre_comp, tmp); - if (!skip) { - /* The 1 argument below is for "mixed" */ - point_add(nq[0], nq[1], nq[2], - nq[0], nq[1], nq[2], 1, tmp[0], tmp[1], tmp[2]); - } else { - memcpy(nq, tmp, 3 * sizeof(felem)); - skip = 0; - } - } - - /* do other additions every 5 doublings */ - if (num_points && (i % 5 == 0)) { - /* loop over all scalars */ - for (num = 0; num < num_points; ++num) { - bits = get_bit(scalars[num], i + 4) << 5; - bits |= get_bit(scalars[num], i + 3) << 4; - bits |= get_bit(scalars[num], i + 2) << 3; - bits |= get_bit(scalars[num], i + 1) << 2; - bits |= get_bit(scalars[num], i) << 1; - bits |= get_bit(scalars[num], i - 1); - ec_GFp_nistp_recode_scalar_bits(&sign, &digit, bits); - - /* - * select the point to add or subtract, in constant time - */ - select_point(digit, 17, pre_comp[num], tmp); - felem_neg(tmp[3], tmp[1]); /* (X, -Y, Z) is the negative - * point */ - copy_conditional(tmp[1], tmp[3], (-(limb) sign)); - - if (!skip) { - point_add(nq[0], nq[1], nq[2], - nq[0], nq[1], nq[2], - mixed, tmp[0], tmp[1], tmp[2]); - } else { - memcpy(nq, tmp, 3 * sizeof(felem)); - skip = 0; - } - } - } - } - felem_assign(x_out, nq[0]); - felem_assign(y_out, nq[1]); - felem_assign(z_out, nq[2]); -} - -/* Precomputation for the group generator. */ -typedef struct { - felem g_pre_comp[16][3]; - int references; -} NISTP521_PRE_COMP; - -const EC_METHOD *EC_GFp_nistp521_method(void) -{ - static const EC_METHOD ret = { - EC_FLAGS_DEFAULT_OCT, - NID_X9_62_prime_field, - ec_GFp_nistp521_group_init, - ec_GFp_simple_group_finish, - ec_GFp_simple_group_clear_finish, - ec_GFp_nist_group_copy, - ec_GFp_nistp521_group_set_curve, - ec_GFp_simple_group_get_curve, - ec_GFp_simple_group_get_degree, - ec_GFp_simple_group_check_discriminant, - ec_GFp_simple_point_init, - ec_GFp_simple_point_finish, - ec_GFp_simple_point_clear_finish, - ec_GFp_simple_point_copy, - ec_GFp_simple_point_set_to_infinity, - ec_GFp_simple_set_Jprojective_coordinates_GFp, - ec_GFp_simple_get_Jprojective_coordinates_GFp, - ec_GFp_simple_point_set_affine_coordinates, - ec_GFp_nistp521_point_get_affine_coordinates, - 0 /* point_set_compressed_coordinates */ , - 0 /* point2oct */ , - 0 /* oct2point */ , - ec_GFp_simple_add, - ec_GFp_simple_dbl, - ec_GFp_simple_invert, - ec_GFp_simple_is_at_infinity, - ec_GFp_simple_is_on_curve, - ec_GFp_simple_cmp, - ec_GFp_simple_make_affine, - ec_GFp_simple_points_make_affine, - ec_GFp_nistp521_points_mul, - ec_GFp_nistp521_precompute_mult, - ec_GFp_nistp521_have_precompute_mult, - ec_GFp_nist_field_mul, - ec_GFp_nist_field_sqr, - 0 /* field_div */ , - 0 /* field_encode */ , - 0 /* field_decode */ , - 0 /* field_set_to_one */ - }; - - return &ret; -} - -/******************************************************************************/ -/* - * FUNCTIONS TO MANAGE PRECOMPUTATION - */ - -static NISTP521_PRE_COMP *nistp521_pre_comp_new() -{ - NISTP521_PRE_COMP *ret = NULL; - ret = (NISTP521_PRE_COMP *) OPENSSL_malloc(sizeof(NISTP521_PRE_COMP)); - if (!ret) { - ECerr(EC_F_NISTP521_PRE_COMP_NEW, ERR_R_MALLOC_FAILURE); - return ret; - } - memset(ret->g_pre_comp, 0, sizeof(ret->g_pre_comp)); - ret->references = 1; - return ret; -} - -static void *nistp521_pre_comp_dup(void *src_) -{ - NISTP521_PRE_COMP *src = src_; - - /* no need to actually copy, these objects never change! */ - CRYPTO_add(&src->references, 1, CRYPTO_LOCK_EC_PRE_COMP); - - return src_; -} - -static void nistp521_pre_comp_free(void *pre_) -{ - int i; - NISTP521_PRE_COMP *pre = pre_; - - if (!pre) - return; - - i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP); - if (i > 0) - return; - - OPENSSL_free(pre); -} - -static void nistp521_pre_comp_clear_free(void *pre_) -{ - int i; - NISTP521_PRE_COMP *pre = pre_; - - if (!pre) - return; - - i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP); - if (i > 0) - return; - - OPENSSL_cleanse(pre, sizeof(*pre)); - OPENSSL_free(pre); -} - -/******************************************************************************/ -/* - * OPENSSL EC_METHOD FUNCTIONS - */ - -int ec_GFp_nistp521_group_init(EC_GROUP *group) -{ - int ret; - ret = ec_GFp_simple_group_init(group); - group->a_is_minus3 = 1; - return ret; -} - -int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p, - const BIGNUM *a, const BIGNUM *b, - BN_CTX *ctx) -{ - int ret = 0; - BN_CTX *new_ctx = NULL; - BIGNUM *curve_p, *curve_a, *curve_b; - - if (ctx == NULL) - if ((ctx = new_ctx = BN_CTX_new()) == NULL) - return 0; - BN_CTX_start(ctx); - if (((curve_p = BN_CTX_get(ctx)) == NULL) || - ((curve_a = BN_CTX_get(ctx)) == NULL) || - ((curve_b = BN_CTX_get(ctx)) == NULL)) - goto err; - BN_bin2bn(nistp521_curve_params[0], sizeof(felem_bytearray), curve_p); - BN_bin2bn(nistp521_curve_params[1], sizeof(felem_bytearray), curve_a); - BN_bin2bn(nistp521_curve_params[2], sizeof(felem_bytearray), curve_b); - if ((BN_cmp(curve_p, p)) || (BN_cmp(curve_a, a)) || (BN_cmp(curve_b, b))) { - ECerr(EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE, - EC_R_WRONG_CURVE_PARAMETERS); - goto err; - } - group->field_mod_func = BN_nist_mod_521; - ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx); - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -/* - * Takes the Jacobian coordinates (X, Y, Z) of a point and returns (X', Y') = - * (X/Z^2, Y/Z^3) - */ -int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group, - const EC_POINT *point, - BIGNUM *x, BIGNUM *y, - BN_CTX *ctx) -{ - felem z1, z2, x_in, y_in, x_out, y_out; - largefelem tmp; - - if (EC_POINT_is_at_infinity(group, point)) { - ECerr(EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES, - EC_R_POINT_AT_INFINITY); - return 0; - } - if ((!BN_to_felem(x_in, &point->X)) || (!BN_to_felem(y_in, &point->Y)) || - (!BN_to_felem(z1, &point->Z))) - return 0; - felem_inv(z2, z1); - felem_square(tmp, z2); - felem_reduce(z1, tmp); - felem_mul(tmp, x_in, z1); - felem_reduce(x_in, tmp); - felem_contract(x_out, x_in); - if (x != NULL) { - if (!felem_to_BN(x, x_out)) { - ECerr(EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES, - ERR_R_BN_LIB); - return 0; - } - } - felem_mul(tmp, z1, z2); - felem_reduce(z1, tmp); - felem_mul(tmp, y_in, z1); - felem_reduce(y_in, tmp); - felem_contract(y_out, y_in); - if (y != NULL) { - if (!felem_to_BN(y, y_out)) { - ECerr(EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES, - ERR_R_BN_LIB); - return 0; - } - } - return 1; -} - -/* points below is of size |num|, and tmp_felems is of size |num+1/ */ -static void make_points_affine(size_t num, felem points[][3], - felem tmp_felems[]) -{ - /* - * Runs in constant time, unless an input is the point at infinity (which - * normally shouldn't happen). - */ - ec_GFp_nistp_points_make_affine_internal(num, - points, - sizeof(felem), - tmp_felems, - (void (*)(void *))felem_one, - (int (*)(const void *)) - felem_is_zero_int, - (void (*)(void *, const void *)) - felem_assign, - (void (*)(void *, const void *)) - felem_square_reduce, (void (*) - (void *, - const void - *, - const void - *)) - felem_mul_reduce, - (void (*)(void *, const void *)) - felem_inv, - (void (*)(void *, const void *)) - felem_contract); -} - -/* - * Computes scalar*generator + \sum scalars[i]*points[i], ignoring NULL - * values Result is stored in r (r can equal one of the inputs). - */ -int ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r, - const BIGNUM *scalar, size_t num, - const EC_POINT *points[], - const BIGNUM *scalars[], BN_CTX *ctx) -{ - int ret = 0; - int j; - int mixed = 0; - BN_CTX *new_ctx = NULL; - BIGNUM *x, *y, *z, *tmp_scalar; - felem_bytearray g_secret; - felem_bytearray *secrets = NULL; - felem(*pre_comp)[17][3] = NULL; - felem *tmp_felems = NULL; - felem_bytearray tmp; - unsigned i, num_bytes; - int have_pre_comp = 0; - size_t num_points = num; - felem x_in, y_in, z_in, x_out, y_out, z_out; - NISTP521_PRE_COMP *pre = NULL; - felem(*g_pre_comp)[3] = NULL; - EC_POINT *generator = NULL; - const EC_POINT *p = NULL; - const BIGNUM *p_scalar = NULL; - - if (ctx == NULL) - if ((ctx = new_ctx = BN_CTX_new()) == NULL) - return 0; - BN_CTX_start(ctx); - if (((x = BN_CTX_get(ctx)) == NULL) || - ((y = BN_CTX_get(ctx)) == NULL) || - ((z = BN_CTX_get(ctx)) == NULL) || - ((tmp_scalar = BN_CTX_get(ctx)) == NULL)) - goto err; - - if (scalar != NULL) { - pre = EC_EX_DATA_get_data(group->extra_data, - nistp521_pre_comp_dup, - nistp521_pre_comp_free, - nistp521_pre_comp_clear_free); - if (pre) - /* we have precomputation, try to use it */ - g_pre_comp = &pre->g_pre_comp[0]; - else - /* try to use the standard precomputation */ - g_pre_comp = (felem(*)[3]) gmul; - generator = EC_POINT_new(group); - if (generator == NULL) - goto err; - /* get the generator from precomputation */ - if (!felem_to_BN(x, g_pre_comp[1][0]) || - !felem_to_BN(y, g_pre_comp[1][1]) || - !felem_to_BN(z, g_pre_comp[1][2])) { - ECerr(EC_F_EC_GFP_NISTP521_POINTS_MUL, ERR_R_BN_LIB); - goto err; - } - if (!EC_POINT_set_Jprojective_coordinates_GFp(group, - generator, x, y, z, - ctx)) - goto err; - if (0 == EC_POINT_cmp(group, generator, group->generator, ctx)) - /* precomputation matches generator */ - have_pre_comp = 1; - else - /* - * we don't have valid precomputation: treat the generator as a - * random point - */ - num_points++; - } - - if (num_points > 0) { - if (num_points >= 2) { - /* - * unless we precompute multiples for just one point, converting - * those into affine form is time well spent - */ - mixed = 1; - } - secrets = OPENSSL_malloc(num_points * sizeof(felem_bytearray)); - pre_comp = OPENSSL_malloc(num_points * 17 * 3 * sizeof(felem)); - if (mixed) - tmp_felems = - OPENSSL_malloc((num_points * 17 + 1) * sizeof(felem)); - if ((secrets == NULL) || (pre_comp == NULL) - || (mixed && (tmp_felems == NULL))) { - ECerr(EC_F_EC_GFP_NISTP521_POINTS_MUL, ERR_R_MALLOC_FAILURE); - goto err; - } - - /* - * we treat NULL scalars as 0, and NULL points as points at infinity, - * i.e., they contribute nothing to the linear combination - */ - memset(secrets, 0, num_points * sizeof(felem_bytearray)); - memset(pre_comp, 0, num_points * 17 * 3 * sizeof(felem)); - for (i = 0; i < num_points; ++i) { - if (i == num) - /* - * we didn't have a valid precomputation, so we pick the - * generator - */ - { - p = EC_GROUP_get0_generator(group); - p_scalar = scalar; - } else - /* the i^th point */ - { - p = points[i]; - p_scalar = scalars[i]; - } - if ((p_scalar != NULL) && (p != NULL)) { - /* reduce scalar to 0 <= scalar < 2^521 */ - if ((BN_num_bits(p_scalar) > 521) - || (BN_is_negative(p_scalar))) { - /* - * this is an unusual input, and we don't guarantee - * constant-timeness - */ - if (!BN_nnmod(tmp_scalar, p_scalar, &group->order, ctx)) { - ECerr(EC_F_EC_GFP_NISTP521_POINTS_MUL, ERR_R_BN_LIB); - goto err; - } - num_bytes = BN_bn2bin(tmp_scalar, tmp); - } else - num_bytes = BN_bn2bin(p_scalar, tmp); - flip_endian(secrets[i], tmp, num_bytes); - /* precompute multiples */ - if ((!BN_to_felem(x_out, &p->X)) || - (!BN_to_felem(y_out, &p->Y)) || - (!BN_to_felem(z_out, &p->Z))) - goto err; - memcpy(pre_comp[i][1][0], x_out, sizeof(felem)); - memcpy(pre_comp[i][1][1], y_out, sizeof(felem)); - memcpy(pre_comp[i][1][2], z_out, sizeof(felem)); - for (j = 2; j <= 16; ++j) { - if (j & 1) { - point_add(pre_comp[i][j][0], pre_comp[i][j][1], - pre_comp[i][j][2], pre_comp[i][1][0], - pre_comp[i][1][1], pre_comp[i][1][2], 0, - pre_comp[i][j - 1][0], - pre_comp[i][j - 1][1], - pre_comp[i][j - 1][2]); - } else { - point_double(pre_comp[i][j][0], pre_comp[i][j][1], - pre_comp[i][j][2], pre_comp[i][j / 2][0], - pre_comp[i][j / 2][1], - pre_comp[i][j / 2][2]); - } - } - } - } - if (mixed) - make_points_affine(num_points * 17, pre_comp[0], tmp_felems); - } - - /* the scalar for the generator */ - if ((scalar != NULL) && (have_pre_comp)) { - memset(g_secret, 0, sizeof(g_secret)); - /* reduce scalar to 0 <= scalar < 2^521 */ - if ((BN_num_bits(scalar) > 521) || (BN_is_negative(scalar))) { - /* - * this is an unusual input, and we don't guarantee - * constant-timeness - */ - if (!BN_nnmod(tmp_scalar, scalar, &group->order, ctx)) { - ECerr(EC_F_EC_GFP_NISTP521_POINTS_MUL, ERR_R_BN_LIB); - goto err; - } - num_bytes = BN_bn2bin(tmp_scalar, tmp); - } else - num_bytes = BN_bn2bin(scalar, tmp); - flip_endian(g_secret, tmp, num_bytes); - /* do the multiplication with generator precomputation */ - batch_mul(x_out, y_out, z_out, - (const felem_bytearray(*))secrets, num_points, - g_secret, - mixed, (const felem(*)[17][3])pre_comp, - (const felem(*)[3])g_pre_comp); - } else - /* do the multiplication without generator precomputation */ - batch_mul(x_out, y_out, z_out, - (const felem_bytearray(*))secrets, num_points, - NULL, mixed, (const felem(*)[17][3])pre_comp, NULL); - /* reduce the output to its unique minimal representation */ - felem_contract(x_in, x_out); - felem_contract(y_in, y_out); - felem_contract(z_in, z_out); - if ((!felem_to_BN(x, x_in)) || (!felem_to_BN(y, y_in)) || - (!felem_to_BN(z, z_in))) { - ECerr(EC_F_EC_GFP_NISTP521_POINTS_MUL, ERR_R_BN_LIB); - goto err; - } - ret = EC_POINT_set_Jprojective_coordinates_GFp(group, r, x, y, z, ctx); - - err: - BN_CTX_end(ctx); - if (generator != NULL) - EC_POINT_free(generator); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - if (secrets != NULL) - OPENSSL_free(secrets); - if (pre_comp != NULL) - OPENSSL_free(pre_comp); - if (tmp_felems != NULL) - OPENSSL_free(tmp_felems); - return ret; -} - -int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx) -{ - int ret = 0; - NISTP521_PRE_COMP *pre = NULL; - int i, j; - BN_CTX *new_ctx = NULL; - BIGNUM *x, *y; - EC_POINT *generator = NULL; - felem tmp_felems[16]; - - /* throw away old precomputation */ - EC_EX_DATA_free_data(&group->extra_data, nistp521_pre_comp_dup, - nistp521_pre_comp_free, - nistp521_pre_comp_clear_free); - if (ctx == NULL) - if ((ctx = new_ctx = BN_CTX_new()) == NULL) - return 0; - BN_CTX_start(ctx); - if (((x = BN_CTX_get(ctx)) == NULL) || ((y = BN_CTX_get(ctx)) == NULL)) - goto err; - /* get the generator */ - if (group->generator == NULL) - goto err; - generator = EC_POINT_new(group); - if (generator == NULL) - goto err; - BN_bin2bn(nistp521_curve_params[3], sizeof(felem_bytearray), x); - BN_bin2bn(nistp521_curve_params[4], sizeof(felem_bytearray), y); - if (!EC_POINT_set_affine_coordinates_GFp(group, generator, x, y, ctx)) - goto err; - if ((pre = nistp521_pre_comp_new()) == NULL) - goto err; - /* - * if the generator is the standard one, use built-in precomputation - */ - if (0 == EC_POINT_cmp(group, generator, group->generator, ctx)) { - memcpy(pre->g_pre_comp, gmul, sizeof(pre->g_pre_comp)); - goto done; - } - if ((!BN_to_felem(pre->g_pre_comp[1][0], &group->generator->X)) || - (!BN_to_felem(pre->g_pre_comp[1][1], &group->generator->Y)) || - (!BN_to_felem(pre->g_pre_comp[1][2], &group->generator->Z))) - goto err; - /* compute 2^130*G, 2^260*G, 2^390*G */ - for (i = 1; i <= 4; i <<= 1) { - point_double(pre->g_pre_comp[2 * i][0], pre->g_pre_comp[2 * i][1], - pre->g_pre_comp[2 * i][2], pre->g_pre_comp[i][0], - pre->g_pre_comp[i][1], pre->g_pre_comp[i][2]); - for (j = 0; j < 129; ++j) { - point_double(pre->g_pre_comp[2 * i][0], - pre->g_pre_comp[2 * i][1], - pre->g_pre_comp[2 * i][2], - pre->g_pre_comp[2 * i][0], - pre->g_pre_comp[2 * i][1], - pre->g_pre_comp[2 * i][2]); - } - } - /* g_pre_comp[0] is the point at infinity */ - memset(pre->g_pre_comp[0], 0, sizeof(pre->g_pre_comp[0])); - /* the remaining multiples */ - /* 2^130*G + 2^260*G */ - point_add(pre->g_pre_comp[6][0], pre->g_pre_comp[6][1], - pre->g_pre_comp[6][2], pre->g_pre_comp[4][0], - pre->g_pre_comp[4][1], pre->g_pre_comp[4][2], - 0, pre->g_pre_comp[2][0], pre->g_pre_comp[2][1], - pre->g_pre_comp[2][2]); - /* 2^130*G + 2^390*G */ - point_add(pre->g_pre_comp[10][0], pre->g_pre_comp[10][1], - pre->g_pre_comp[10][2], pre->g_pre_comp[8][0], - pre->g_pre_comp[8][1], pre->g_pre_comp[8][2], - 0, pre->g_pre_comp[2][0], pre->g_pre_comp[2][1], - pre->g_pre_comp[2][2]); - /* 2^260*G + 2^390*G */ - point_add(pre->g_pre_comp[12][0], pre->g_pre_comp[12][1], - pre->g_pre_comp[12][2], pre->g_pre_comp[8][0], - pre->g_pre_comp[8][1], pre->g_pre_comp[8][2], - 0, pre->g_pre_comp[4][0], pre->g_pre_comp[4][1], - pre->g_pre_comp[4][2]); - /* 2^130*G + 2^260*G + 2^390*G */ - point_add(pre->g_pre_comp[14][0], pre->g_pre_comp[14][1], - pre->g_pre_comp[14][2], pre->g_pre_comp[12][0], - pre->g_pre_comp[12][1], pre->g_pre_comp[12][2], - 0, pre->g_pre_comp[2][0], pre->g_pre_comp[2][1], - pre->g_pre_comp[2][2]); - for (i = 1; i < 8; ++i) { - /* odd multiples: add G */ - point_add(pre->g_pre_comp[2 * i + 1][0], - pre->g_pre_comp[2 * i + 1][1], - pre->g_pre_comp[2 * i + 1][2], pre->g_pre_comp[2 * i][0], - pre->g_pre_comp[2 * i][1], pre->g_pre_comp[2 * i][2], 0, - pre->g_pre_comp[1][0], pre->g_pre_comp[1][1], - pre->g_pre_comp[1][2]); - } - make_points_affine(15, &(pre->g_pre_comp[1]), tmp_felems); - - done: - if (!EC_EX_DATA_set_data(&group->extra_data, pre, nistp521_pre_comp_dup, - nistp521_pre_comp_free, - nistp521_pre_comp_clear_free)) - goto err; - ret = 1; - pre = NULL; - err: - BN_CTX_end(ctx); - if (generator != NULL) - EC_POINT_free(generator); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - if (pre) - nistp521_pre_comp_free(pre); - return ret; -} - -int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group) -{ - if (EC_EX_DATA_get_data(group->extra_data, nistp521_pre_comp_dup, - nistp521_pre_comp_free, - nistp521_pre_comp_clear_free) - != NULL) - return 1; - else - return 0; -} - -#else -static void *dummy = &dummy; -#endif diff --git a/thirdparty/openssl/crypto/ec/ecp_nistputil.c b/thirdparty/openssl/crypto/ec/ecp_nistputil.c deleted file mode 100644 index 8ba2a25e93..0000000000 --- a/thirdparty/openssl/crypto/ec/ecp_nistputil.c +++ /dev/null @@ -1,218 +0,0 @@ -/* crypto/ec/ecp_nistputil.c */ -/* - * Written by Bodo Moeller for the OpenSSL project. - */ -/* Copyright 2011 Google Inc. - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -#include <openssl/opensslconf.h> -#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 - -/* - * Common utility functions for ecp_nistp224.c, ecp_nistp256.c, ecp_nistp521.c. - */ - -# include <stddef.h> -# include "ec_lcl.h" - -/* - * Convert an array of points into affine coordinates. (If the point at - * infinity is found (Z = 0), it remains unchanged.) This function is - * essentially an equivalent to EC_POINTs_make_affine(), but works with the - * internal representation of points as used by ecp_nistp###.c rather than - * with (BIGNUM-based) EC_POINT data structures. point_array is the - * input/output buffer ('num' points in projective form, i.e. three - * coordinates each), based on an internal representation of field elements - * of size 'felem_size'. tmp_felems needs to point to a temporary array of - * 'num'+1 field elements for storage of intermediate values. - */ -void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array, - size_t felem_size, - void *tmp_felems, - void (*felem_one) (void *out), - int (*felem_is_zero) (const void - *in), - void (*felem_assign) (void *out, - const void - *in), - void (*felem_square) (void *out, - const void - *in), - void (*felem_mul) (void *out, - const void - *in1, - const void - *in2), - void (*felem_inv) (void *out, - const void - *in), - void (*felem_contract) (void - *out, - const - void - *in)) -{ - int i = 0; - -# define tmp_felem(I) (&((char *)tmp_felems)[(I) * felem_size]) -# define X(I) (&((char *)point_array)[3*(I) * felem_size]) -# define Y(I) (&((char *)point_array)[(3*(I) + 1) * felem_size]) -# define Z(I) (&((char *)point_array)[(3*(I) + 2) * felem_size]) - - if (!felem_is_zero(Z(0))) - felem_assign(tmp_felem(0), Z(0)); - else - felem_one(tmp_felem(0)); - for (i = 1; i < (int)num; i++) { - if (!felem_is_zero(Z(i))) - felem_mul(tmp_felem(i), tmp_felem(i - 1), Z(i)); - else - felem_assign(tmp_felem(i), tmp_felem(i - 1)); - } - /* - * Now each tmp_felem(i) is the product of Z(0) .. Z(i), skipping any - * zero-valued factors: if Z(i) = 0, we essentially pretend that Z(i) = 1 - */ - - felem_inv(tmp_felem(num - 1), tmp_felem(num - 1)); - for (i = num - 1; i >= 0; i--) { - if (i > 0) - /* - * tmp_felem(i-1) is the product of Z(0) .. Z(i-1), tmp_felem(i) - * is the inverse of the product of Z(0) .. Z(i) - */ - /* 1/Z(i) */ - felem_mul(tmp_felem(num), tmp_felem(i - 1), tmp_felem(i)); - else - felem_assign(tmp_felem(num), tmp_felem(0)); /* 1/Z(0) */ - - if (!felem_is_zero(Z(i))) { - if (i > 0) - /* - * For next iteration, replace tmp_felem(i-1) by its inverse - */ - felem_mul(tmp_felem(i - 1), tmp_felem(i), Z(i)); - - /* - * Convert point (X, Y, Z) into affine form (X/(Z^2), Y/(Z^3), 1) - */ - felem_square(Z(i), tmp_felem(num)); /* 1/(Z^2) */ - felem_mul(X(i), X(i), Z(i)); /* X/(Z^2) */ - felem_mul(Z(i), Z(i), tmp_felem(num)); /* 1/(Z^3) */ - felem_mul(Y(i), Y(i), Z(i)); /* Y/(Z^3) */ - felem_contract(X(i), X(i)); - felem_contract(Y(i), Y(i)); - felem_one(Z(i)); - } else { - if (i > 0) - /* - * For next iteration, replace tmp_felem(i-1) by its inverse - */ - felem_assign(tmp_felem(i - 1), tmp_felem(i)); - } - } -} - -/*- - * This function looks at 5+1 scalar bits (5 current, 1 adjacent less - * significant bit), and recodes them into a signed digit for use in fast point - * multiplication: the use of signed rather than unsigned digits means that - * fewer points need to be precomputed, given that point inversion is easy - * (a precomputed point dP makes -dP available as well). - * - * BACKGROUND: - * - * Signed digits for multiplication were introduced by Booth ("A signed binary - * multiplication technique", Quart. Journ. Mech. and Applied Math., vol. IV, - * pt. 2 (1951), pp. 236-240), in that case for multiplication of integers. - * Booth's original encoding did not generally improve the density of nonzero - * digits over the binary representation, and was merely meant to simplify the - * handling of signed factors given in two's complement; but it has since been - * shown to be the basis of various signed-digit representations that do have - * further advantages, including the wNAF, using the following general approach: - * - * (1) Given a binary representation - * - * b_k ... b_2 b_1 b_0, - * - * of a nonnegative integer (b_k in {0, 1}), rewrite it in digits 0, 1, -1 - * by using bit-wise subtraction as follows: - * - * b_k b_(k-1) ... b_2 b_1 b_0 - * - b_k ... b_3 b_2 b_1 b_0 - * ------------------------------------- - * s_k b_(k-1) ... s_3 s_2 s_1 s_0 - * - * A left-shift followed by subtraction of the original value yields a new - * representation of the same value, using signed bits s_i = b_(i+1) - b_i. - * This representation from Booth's paper has since appeared in the - * literature under a variety of different names including "reversed binary - * form", "alternating greedy expansion", "mutual opposite form", and - * "sign-alternating {+-1}-representation". - * - * An interesting property is that among the nonzero bits, values 1 and -1 - * strictly alternate. - * - * (2) Various window schemes can be applied to the Booth representation of - * integers: for example, right-to-left sliding windows yield the wNAF - * (a signed-digit encoding independently discovered by various researchers - * in the 1990s), and left-to-right sliding windows yield a left-to-right - * equivalent of the wNAF (independently discovered by various researchers - * around 2004). - * - * To prevent leaking information through side channels in point multiplication, - * we need to recode the given integer into a regular pattern: sliding windows - * as in wNAFs won't do, we need their fixed-window equivalent -- which is a few - * decades older: we'll be using the so-called "modified Booth encoding" due to - * MacSorley ("High-speed arithmetic in binary computers", Proc. IRE, vol. 49 - * (1961), pp. 67-91), in a radix-2^5 setting. That is, we always combine five - * signed bits into a signed digit: - * - * s_(4j + 4) s_(4j + 3) s_(4j + 2) s_(4j + 1) s_(4j) - * - * The sign-alternating property implies that the resulting digit values are - * integers from -16 to 16. - * - * Of course, we don't actually need to compute the signed digits s_i as an - * intermediate step (that's just a nice way to see how this scheme relates - * to the wNAF): a direct computation obtains the recoded digit from the - * six bits b_(4j + 4) ... b_(4j - 1). - * - * This function takes those five bits as an integer (0 .. 63), writing the - * recoded digit to *sign (0 for positive, 1 for negative) and *digit (absolute - * value, in the range 0 .. 8). Note that this integer essentially provides the - * input bits "shifted to the left" by one position: for example, the input to - * compute the least significant recoded digit, given that there's no bit b_-1, - * has to be b_4 b_3 b_2 b_1 b_0 0. - * - */ -void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign, - unsigned char *digit, unsigned char in) -{ - unsigned char s, d; - - s = ~((in >> 5) - 1); /* sets all bits to MSB(in), 'in' seen as - * 6-bit value */ - d = (1 << 6) - in - 1; - d = (d & s) | (in & ~s); - d = (d >> 1) + (d & 1); - - *sign = s & 1; - *digit = d; -} -#else -static void *dummy = &dummy; -#endif diff --git a/thirdparty/openssl/crypto/ec/ecp_nistz256.c b/thirdparty/openssl/crypto/ec/ecp_nistz256.c deleted file mode 100644 index 99b8d613c8..0000000000 --- a/thirdparty/openssl/crypto/ec/ecp_nistz256.c +++ /dev/null @@ -1,1568 +0,0 @@ -/****************************************************************************** - * * - * Copyright 2014 Intel Corporation * - * * - * Licensed under the Apache License, Version 2.0 (the "License"); * - * you may not use this file except in compliance with the License. * - * You may obtain a copy of the License at * - * * - * http://www.apache.org/licenses/LICENSE-2.0 * - * * - * Unless required by applicable law or agreed to in writing, software * - * distributed under the License is distributed on an "AS IS" BASIS, * - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * - * See the License for the specific language governing permissions and * - * limitations under the License. * - * * - ****************************************************************************** - * * - * Developers and authors: * - * Shay Gueron (1, 2), and Vlad Krasnov (1) * - * (1) Intel Corporation, Israel Development Center * - * (2) University of Haifa * - * Reference: * - * S.Gueron and V.Krasnov, "Fast Prime Field Elliptic Curve Cryptography with * - * 256 Bit Primes" * - * * - ******************************************************************************/ - -#include <string.h> - -#include <openssl/bn.h> -#include <openssl/err.h> -#include <openssl/ec.h> -#include "cryptlib.h" - -#include "ec_lcl.h" - -#if BN_BITS2 != 64 -# define TOBN(hi,lo) lo,hi -#else -# define TOBN(hi,lo) ((BN_ULONG)hi<<32|lo) -#endif - -#if defined(__GNUC__) -# define ALIGN32 __attribute((aligned(32))) -#elif defined(_MSC_VER) -# define ALIGN32 __declspec(align(32)) -#else -# define ALIGN32 -#endif - -#define ALIGNPTR(p,N) ((unsigned char *)p+N-(size_t)p%N) -#define P256_LIMBS (256/BN_BITS2) - -typedef unsigned short u16; - -typedef struct { - BN_ULONG X[P256_LIMBS]; - BN_ULONG Y[P256_LIMBS]; - BN_ULONG Z[P256_LIMBS]; -} P256_POINT; - -typedef struct { - BN_ULONG X[P256_LIMBS]; - BN_ULONG Y[P256_LIMBS]; -} P256_POINT_AFFINE; - -typedef P256_POINT_AFFINE PRECOMP256_ROW[64]; - -/* structure for precomputed multiples of the generator */ -typedef struct ec_pre_comp_st { - const EC_GROUP *group; /* Parent EC_GROUP object */ - size_t w; /* Window size */ - /* - * Constant time access to the X and Y coordinates of the pre-computed, - * generator multiplies, in the Montgomery domain. Pre-calculated - * multiplies are stored in affine form. - */ - PRECOMP256_ROW *precomp; - void *precomp_storage; - int references; -} EC_PRE_COMP; - -/* Functions implemented in assembly */ -/* - * Most of below mentioned functions *preserve* the property of inputs - * being fully reduced, i.e. being in [0, modulus) range. Simply put if - * inputs are fully reduced, then output is too. Note that reverse is - * not true, in sense that given partially reduced inputs output can be - * either, not unlikely reduced. And "most" in first sentence refers to - * the fact that given the calculations flow one can tolerate that - * addition, 1st function below, produces partially reduced result *if* - * multiplications by 2 and 3, which customarily use addition, fully - * reduce it. This effectively gives two options: a) addition produces - * fully reduced result [as long as inputs are, just like remaining - * functions]; b) addition is allowed to produce partially reduced - * result, but multiplications by 2 and 3 perform additional reduction - * step. Choice between the two can be platform-specific, but it was a) - * in all cases so far... - */ -/* Modular add: res = a+b mod P */ -void ecp_nistz256_add(BN_ULONG res[P256_LIMBS], - const BN_ULONG a[P256_LIMBS], - const BN_ULONG b[P256_LIMBS]); -/* Modular mul by 2: res = 2*a mod P */ -void ecp_nistz256_mul_by_2(BN_ULONG res[P256_LIMBS], - const BN_ULONG a[P256_LIMBS]); -/* Modular mul by 3: res = 3*a mod P */ -void ecp_nistz256_mul_by_3(BN_ULONG res[P256_LIMBS], - const BN_ULONG a[P256_LIMBS]); - -/* Modular div by 2: res = a/2 mod P */ -void ecp_nistz256_div_by_2(BN_ULONG res[P256_LIMBS], - const BN_ULONG a[P256_LIMBS]); -/* Modular sub: res = a-b mod P */ -void ecp_nistz256_sub(BN_ULONG res[P256_LIMBS], - const BN_ULONG a[P256_LIMBS], - const BN_ULONG b[P256_LIMBS]); -/* Modular neg: res = -a mod P */ -void ecp_nistz256_neg(BN_ULONG res[P256_LIMBS], const BN_ULONG a[P256_LIMBS]); -/* Montgomery mul: res = a*b*2^-256 mod P */ -void ecp_nistz256_mul_mont(BN_ULONG res[P256_LIMBS], - const BN_ULONG a[P256_LIMBS], - const BN_ULONG b[P256_LIMBS]); -/* Montgomery sqr: res = a*a*2^-256 mod P */ -void ecp_nistz256_sqr_mont(BN_ULONG res[P256_LIMBS], - const BN_ULONG a[P256_LIMBS]); -/* Convert a number from Montgomery domain, by multiplying with 1 */ -void ecp_nistz256_from_mont(BN_ULONG res[P256_LIMBS], - const BN_ULONG in[P256_LIMBS]); -/* Convert a number to Montgomery domain, by multiplying with 2^512 mod P*/ -void ecp_nistz256_to_mont(BN_ULONG res[P256_LIMBS], - const BN_ULONG in[P256_LIMBS]); -/* Functions that perform constant time access to the precomputed tables */ -void ecp_nistz256_select_w5(P256_POINT * val, - const P256_POINT * in_t, int index); -void ecp_nistz256_select_w7(P256_POINT_AFFINE * val, - const P256_POINT_AFFINE * in_t, int index); - -/* One converted into the Montgomery domain */ -static const BN_ULONG ONE[P256_LIMBS] = { - TOBN(0x00000000, 0x00000001), TOBN(0xffffffff, 0x00000000), - TOBN(0xffffffff, 0xffffffff), TOBN(0x00000000, 0xfffffffe) -}; - -static void *ecp_nistz256_pre_comp_dup(void *); -static void ecp_nistz256_pre_comp_free(void *); -static void ecp_nistz256_pre_comp_clear_free(void *); -static EC_PRE_COMP *ecp_nistz256_pre_comp_new(const EC_GROUP *group); - -/* Precomputed tables for the default generator */ -#include "ecp_nistz256_table.c" - -/* Recode window to a signed digit, see ecp_nistputil.c for details */ -static unsigned int _booth_recode_w5(unsigned int in) -{ - unsigned int s, d; - - s = ~((in >> 5) - 1); - d = (1 << 6) - in - 1; - d = (d & s) | (in & ~s); - d = (d >> 1) + (d & 1); - - return (d << 1) + (s & 1); -} - -static unsigned int _booth_recode_w7(unsigned int in) -{ - unsigned int s, d; - - s = ~((in >> 7) - 1); - d = (1 << 8) - in - 1; - d = (d & s) | (in & ~s); - d = (d >> 1) + (d & 1); - - return (d << 1) + (s & 1); -} - -static void copy_conditional(BN_ULONG dst[P256_LIMBS], - const BN_ULONG src[P256_LIMBS], BN_ULONG move) -{ - BN_ULONG mask1 = -move; - BN_ULONG mask2 = ~mask1; - - dst[0] = (src[0] & mask1) ^ (dst[0] & mask2); - dst[1] = (src[1] & mask1) ^ (dst[1] & mask2); - dst[2] = (src[2] & mask1) ^ (dst[2] & mask2); - dst[3] = (src[3] & mask1) ^ (dst[3] & mask2); - if (P256_LIMBS == 8) { - dst[4] = (src[4] & mask1) ^ (dst[4] & mask2); - dst[5] = (src[5] & mask1) ^ (dst[5] & mask2); - dst[6] = (src[6] & mask1) ^ (dst[6] & mask2); - dst[7] = (src[7] & mask1) ^ (dst[7] & mask2); - } -} - -static BN_ULONG is_zero(BN_ULONG in) -{ - in |= (0 - in); - in = ~in; - in &= BN_MASK2; - in >>= BN_BITS2 - 1; - return in; -} - -static BN_ULONG is_equal(const BN_ULONG a[P256_LIMBS], - const BN_ULONG b[P256_LIMBS]) -{ - BN_ULONG res; - - res = a[0] ^ b[0]; - res |= a[1] ^ b[1]; - res |= a[2] ^ b[2]; - res |= a[3] ^ b[3]; - if (P256_LIMBS == 8) { - res |= a[4] ^ b[4]; - res |= a[5] ^ b[5]; - res |= a[6] ^ b[6]; - res |= a[7] ^ b[7]; - } - - return is_zero(res); -} - -static BN_ULONG is_one(const BIGNUM *z) -{ - BN_ULONG res = 0; - BN_ULONG *a = z->d; - - if (z->top == (P256_LIMBS - P256_LIMBS / 8)) { - res = a[0] ^ ONE[0]; - res |= a[1] ^ ONE[1]; - res |= a[2] ^ ONE[2]; - res |= a[3] ^ ONE[3]; - if (P256_LIMBS == 8) { - res |= a[4] ^ ONE[4]; - res |= a[5] ^ ONE[5]; - res |= a[6] ^ ONE[6]; - /* - * no check for a[7] (being zero) on 32-bit platforms, - * because value of "one" takes only 7 limbs. - */ - } - res = is_zero(res); - } - - return res; -} - -static int ecp_nistz256_set_words(BIGNUM *a, BN_ULONG words[P256_LIMBS]) - { - if (bn_wexpand(a, P256_LIMBS) == NULL) { - ECerr(EC_F_ECP_NISTZ256_SET_WORDS, ERR_R_MALLOC_FAILURE); - return 0; - } - memcpy(a->d, words, sizeof(BN_ULONG) * P256_LIMBS); - a->top = P256_LIMBS; - bn_correct_top(a); - return 1; -} - -#ifndef ECP_NISTZ256_REFERENCE_IMPLEMENTATION -void ecp_nistz256_point_double(P256_POINT *r, const P256_POINT *a); -void ecp_nistz256_point_add(P256_POINT *r, - const P256_POINT *a, const P256_POINT *b); -void ecp_nistz256_point_add_affine(P256_POINT *r, - const P256_POINT *a, - const P256_POINT_AFFINE *b); -#else -/* Point double: r = 2*a */ -static void ecp_nistz256_point_double(P256_POINT *r, const P256_POINT *a) -{ - BN_ULONG S[P256_LIMBS]; - BN_ULONG M[P256_LIMBS]; - BN_ULONG Zsqr[P256_LIMBS]; - BN_ULONG tmp0[P256_LIMBS]; - - const BN_ULONG *in_x = a->X; - const BN_ULONG *in_y = a->Y; - const BN_ULONG *in_z = a->Z; - - BN_ULONG *res_x = r->X; - BN_ULONG *res_y = r->Y; - BN_ULONG *res_z = r->Z; - - ecp_nistz256_mul_by_2(S, in_y); - - ecp_nistz256_sqr_mont(Zsqr, in_z); - - ecp_nistz256_sqr_mont(S, S); - - ecp_nistz256_mul_mont(res_z, in_z, in_y); - ecp_nistz256_mul_by_2(res_z, res_z); - - ecp_nistz256_add(M, in_x, Zsqr); - ecp_nistz256_sub(Zsqr, in_x, Zsqr); - - ecp_nistz256_sqr_mont(res_y, S); - ecp_nistz256_div_by_2(res_y, res_y); - - ecp_nistz256_mul_mont(M, M, Zsqr); - ecp_nistz256_mul_by_3(M, M); - - ecp_nistz256_mul_mont(S, S, in_x); - ecp_nistz256_mul_by_2(tmp0, S); - - ecp_nistz256_sqr_mont(res_x, M); - - ecp_nistz256_sub(res_x, res_x, tmp0); - ecp_nistz256_sub(S, S, res_x); - - ecp_nistz256_mul_mont(S, S, M); - ecp_nistz256_sub(res_y, S, res_y); -} - -/* Point addition: r = a+b */ -static void ecp_nistz256_point_add(P256_POINT *r, - const P256_POINT *a, const P256_POINT *b) -{ - BN_ULONG U2[P256_LIMBS], S2[P256_LIMBS]; - BN_ULONG U1[P256_LIMBS], S1[P256_LIMBS]; - BN_ULONG Z1sqr[P256_LIMBS]; - BN_ULONG Z2sqr[P256_LIMBS]; - BN_ULONG H[P256_LIMBS], R[P256_LIMBS]; - BN_ULONG Hsqr[P256_LIMBS]; - BN_ULONG Rsqr[P256_LIMBS]; - BN_ULONG Hcub[P256_LIMBS]; - - BN_ULONG res_x[P256_LIMBS]; - BN_ULONG res_y[P256_LIMBS]; - BN_ULONG res_z[P256_LIMBS]; - - BN_ULONG in1infty, in2infty; - - const BN_ULONG *in1_x = a->X; - const BN_ULONG *in1_y = a->Y; - const BN_ULONG *in1_z = a->Z; - - const BN_ULONG *in2_x = b->X; - const BN_ULONG *in2_y = b->Y; - const BN_ULONG *in2_z = b->Z; - - /* - * Infinity in encoded as (,,0) - */ - in1infty = (in1_z[0] | in1_z[1] | in1_z[2] | in1_z[3]); - if (P256_LIMBS == 8) - in1infty |= (in1_z[4] | in1_z[5] | in1_z[6] | in1_z[7]); - - in2infty = (in2_z[0] | in2_z[1] | in2_z[2] | in2_z[3]); - if (P256_LIMBS == 8) - in2infty |= (in2_z[4] | in2_z[5] | in2_z[6] | in2_z[7]); - - in1infty = is_zero(in1infty); - in2infty = is_zero(in2infty); - - ecp_nistz256_sqr_mont(Z2sqr, in2_z); /* Z2^2 */ - ecp_nistz256_sqr_mont(Z1sqr, in1_z); /* Z1^2 */ - - ecp_nistz256_mul_mont(S1, Z2sqr, in2_z); /* S1 = Z2^3 */ - ecp_nistz256_mul_mont(S2, Z1sqr, in1_z); /* S2 = Z1^3 */ - - ecp_nistz256_mul_mont(S1, S1, in1_y); /* S1 = Y1*Z2^3 */ - ecp_nistz256_mul_mont(S2, S2, in2_y); /* S2 = Y2*Z1^3 */ - ecp_nistz256_sub(R, S2, S1); /* R = S2 - S1 */ - - ecp_nistz256_mul_mont(U1, in1_x, Z2sqr); /* U1 = X1*Z2^2 */ - ecp_nistz256_mul_mont(U2, in2_x, Z1sqr); /* U2 = X2*Z1^2 */ - ecp_nistz256_sub(H, U2, U1); /* H = U2 - U1 */ - - /* - * This should not happen during sign/ecdh, so no constant time violation - */ - if (is_equal(U1, U2) && !in1infty && !in2infty) { - if (is_equal(S1, S2)) { - ecp_nistz256_point_double(r, a); - return; - } else { - memset(r, 0, sizeof(*r)); - return; - } - } - - ecp_nistz256_sqr_mont(Rsqr, R); /* R^2 */ - ecp_nistz256_mul_mont(res_z, H, in1_z); /* Z3 = H*Z1*Z2 */ - ecp_nistz256_sqr_mont(Hsqr, H); /* H^2 */ - ecp_nistz256_mul_mont(res_z, res_z, in2_z); /* Z3 = H*Z1*Z2 */ - ecp_nistz256_mul_mont(Hcub, Hsqr, H); /* H^3 */ - - ecp_nistz256_mul_mont(U2, U1, Hsqr); /* U1*H^2 */ - ecp_nistz256_mul_by_2(Hsqr, U2); /* 2*U1*H^2 */ - - ecp_nistz256_sub(res_x, Rsqr, Hsqr); - ecp_nistz256_sub(res_x, res_x, Hcub); - - ecp_nistz256_sub(res_y, U2, res_x); - - ecp_nistz256_mul_mont(S2, S1, Hcub); - ecp_nistz256_mul_mont(res_y, R, res_y); - ecp_nistz256_sub(res_y, res_y, S2); - - copy_conditional(res_x, in2_x, in1infty); - copy_conditional(res_y, in2_y, in1infty); - copy_conditional(res_z, in2_z, in1infty); - - copy_conditional(res_x, in1_x, in2infty); - copy_conditional(res_y, in1_y, in2infty); - copy_conditional(res_z, in1_z, in2infty); - - memcpy(r->X, res_x, sizeof(res_x)); - memcpy(r->Y, res_y, sizeof(res_y)); - memcpy(r->Z, res_z, sizeof(res_z)); -} - -/* Point addition when b is known to be affine: r = a+b */ -static void ecp_nistz256_point_add_affine(P256_POINT *r, - const P256_POINT *a, - const P256_POINT_AFFINE *b) -{ - BN_ULONG U2[P256_LIMBS], S2[P256_LIMBS]; - BN_ULONG Z1sqr[P256_LIMBS]; - BN_ULONG H[P256_LIMBS], R[P256_LIMBS]; - BN_ULONG Hsqr[P256_LIMBS]; - BN_ULONG Rsqr[P256_LIMBS]; - BN_ULONG Hcub[P256_LIMBS]; - - BN_ULONG res_x[P256_LIMBS]; - BN_ULONG res_y[P256_LIMBS]; - BN_ULONG res_z[P256_LIMBS]; - - BN_ULONG in1infty, in2infty; - - const BN_ULONG *in1_x = a->X; - const BN_ULONG *in1_y = a->Y; - const BN_ULONG *in1_z = a->Z; - - const BN_ULONG *in2_x = b->X; - const BN_ULONG *in2_y = b->Y; - - /* - * Infinity in encoded as (,,0) - */ - in1infty = (in1_z[0] | in1_z[1] | in1_z[2] | in1_z[3]); - if (P256_LIMBS == 8) - in1infty |= (in1_z[4] | in1_z[5] | in1_z[6] | in1_z[7]); - - /* - * In affine representation we encode infinity as (0,0), which is - * not on the curve, so it is OK - */ - in2infty = (in2_x[0] | in2_x[1] | in2_x[2] | in2_x[3] | - in2_y[0] | in2_y[1] | in2_y[2] | in2_y[3]); - if (P256_LIMBS == 8) - in2infty |= (in2_x[4] | in2_x[5] | in2_x[6] | in2_x[7] | - in2_y[4] | in2_y[5] | in2_y[6] | in2_y[7]); - - in1infty = is_zero(in1infty); - in2infty = is_zero(in2infty); - - ecp_nistz256_sqr_mont(Z1sqr, in1_z); /* Z1^2 */ - - ecp_nistz256_mul_mont(U2, in2_x, Z1sqr); /* U2 = X2*Z1^2 */ - ecp_nistz256_sub(H, U2, in1_x); /* H = U2 - U1 */ - - ecp_nistz256_mul_mont(S2, Z1sqr, in1_z); /* S2 = Z1^3 */ - - ecp_nistz256_mul_mont(res_z, H, in1_z); /* Z3 = H*Z1*Z2 */ - - ecp_nistz256_mul_mont(S2, S2, in2_y); /* S2 = Y2*Z1^3 */ - ecp_nistz256_sub(R, S2, in1_y); /* R = S2 - S1 */ - - ecp_nistz256_sqr_mont(Hsqr, H); /* H^2 */ - ecp_nistz256_sqr_mont(Rsqr, R); /* R^2 */ - ecp_nistz256_mul_mont(Hcub, Hsqr, H); /* H^3 */ - - ecp_nistz256_mul_mont(U2, in1_x, Hsqr); /* U1*H^2 */ - ecp_nistz256_mul_by_2(Hsqr, U2); /* 2*U1*H^2 */ - - ecp_nistz256_sub(res_x, Rsqr, Hsqr); - ecp_nistz256_sub(res_x, res_x, Hcub); - ecp_nistz256_sub(H, U2, res_x); - - ecp_nistz256_mul_mont(S2, in1_y, Hcub); - ecp_nistz256_mul_mont(H, H, R); - ecp_nistz256_sub(res_y, H, S2); - - copy_conditional(res_x, in2_x, in1infty); - copy_conditional(res_x, in1_x, in2infty); - - copy_conditional(res_y, in2_y, in1infty); - copy_conditional(res_y, in1_y, in2infty); - - copy_conditional(res_z, ONE, in1infty); - copy_conditional(res_z, in1_z, in2infty); - - memcpy(r->X, res_x, sizeof(res_x)); - memcpy(r->Y, res_y, sizeof(res_y)); - memcpy(r->Z, res_z, sizeof(res_z)); -} -#endif - -/* r = in^-1 mod p */ -static void ecp_nistz256_mod_inverse(BN_ULONG r[P256_LIMBS], - const BN_ULONG in[P256_LIMBS]) -{ - /* - * The poly is ffffffff 00000001 00000000 00000000 00000000 ffffffff - * ffffffff ffffffff We use FLT and used poly-2 as exponent - */ - BN_ULONG p2[P256_LIMBS]; - BN_ULONG p4[P256_LIMBS]; - BN_ULONG p8[P256_LIMBS]; - BN_ULONG p16[P256_LIMBS]; - BN_ULONG p32[P256_LIMBS]; - BN_ULONG res[P256_LIMBS]; - int i; - - ecp_nistz256_sqr_mont(res, in); - ecp_nistz256_mul_mont(p2, res, in); /* 3*p */ - - ecp_nistz256_sqr_mont(res, p2); - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_mul_mont(p4, res, p2); /* f*p */ - - ecp_nistz256_sqr_mont(res, p4); - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_mul_mont(p8, res, p4); /* ff*p */ - - ecp_nistz256_sqr_mont(res, p8); - for (i = 0; i < 7; i++) - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_mul_mont(p16, res, p8); /* ffff*p */ - - ecp_nistz256_sqr_mont(res, p16); - for (i = 0; i < 15; i++) - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_mul_mont(p32, res, p16); /* ffffffff*p */ - - ecp_nistz256_sqr_mont(res, p32); - for (i = 0; i < 31; i++) - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_mul_mont(res, res, in); - - for (i = 0; i < 32 * 4; i++) - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_mul_mont(res, res, p32); - - for (i = 0; i < 32; i++) - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_mul_mont(res, res, p32); - - for (i = 0; i < 16; i++) - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_mul_mont(res, res, p16); - - for (i = 0; i < 8; i++) - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_mul_mont(res, res, p8); - - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_mul_mont(res, res, p4); - - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_mul_mont(res, res, p2); - - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_sqr_mont(res, res); - ecp_nistz256_mul_mont(res, res, in); - - memcpy(r, res, sizeof(res)); -} - -/* - * ecp_nistz256_bignum_to_field_elem copies the contents of |in| to |out| and - * returns one if it fits. Otherwise it returns zero. - */ -static int ecp_nistz256_bignum_to_field_elem(BN_ULONG out[P256_LIMBS], - const BIGNUM *in) -{ - if (in->top > P256_LIMBS) - return 0; - - memset(out, 0, sizeof(BN_ULONG) * P256_LIMBS); - memcpy(out, in->d, sizeof(BN_ULONG) * in->top); - return 1; -} - -/* r = sum(scalar[i]*point[i]) */ -static int ecp_nistz256_windowed_mul(const EC_GROUP *group, - P256_POINT *r, - const BIGNUM **scalar, - const EC_POINT **point, - int num, BN_CTX *ctx) -{ - - int i, j, ret = 0; - unsigned int index; - unsigned char (*p_str)[33] = NULL; - const unsigned int window_size = 5; - const unsigned int mask = (1 << (window_size + 1)) - 1; - unsigned int wvalue; - BN_ULONG tmp[P256_LIMBS]; - ALIGN32 P256_POINT h; - const BIGNUM **scalars = NULL; - P256_POINT (*table)[16] = NULL; - void *table_storage = NULL; - - if ((table_storage = - OPENSSL_malloc(num * 16 * sizeof(P256_POINT) + 64)) == NULL - || (p_str = - OPENSSL_malloc(num * 33 * sizeof(unsigned char))) == NULL - || (scalars = OPENSSL_malloc(num * sizeof(BIGNUM *))) == NULL) { - ECerr(EC_F_ECP_NISTZ256_WINDOWED_MUL, ERR_R_MALLOC_FAILURE); - goto err; - } else { - table = (void *)ALIGNPTR(table_storage, 64); - } - - for (i = 0; i < num; i++) { - P256_POINT *row = table[i]; - - /* This is an unusual input, we don't guarantee constant-timeness. */ - if ((BN_num_bits(scalar[i]) > 256) || BN_is_negative(scalar[i])) { - BIGNUM *mod; - - if ((mod = BN_CTX_get(ctx)) == NULL) - goto err; - if (!BN_nnmod(mod, scalar[i], &group->order, ctx)) { - ECerr(EC_F_ECP_NISTZ256_WINDOWED_MUL, ERR_R_BN_LIB); - goto err; - } - scalars[i] = mod; - } else - scalars[i] = scalar[i]; - - for (j = 0; j < scalars[i]->top * BN_BYTES; j += BN_BYTES) { - BN_ULONG d = scalars[i]->d[j / BN_BYTES]; - - p_str[i][j + 0] = d & 0xff; - p_str[i][j + 1] = (d >> 8) & 0xff; - p_str[i][j + 2] = (d >> 16) & 0xff; - p_str[i][j + 3] = (d >>= 24) & 0xff; - if (BN_BYTES == 8) { - d >>= 8; - p_str[i][j + 4] = d & 0xff; - p_str[i][j + 5] = (d >> 8) & 0xff; - p_str[i][j + 6] = (d >> 16) & 0xff; - p_str[i][j + 7] = (d >> 24) & 0xff; - } - } - for (; j < 33; j++) - p_str[i][j] = 0; - - /* table[0] is implicitly (0,0,0) (the point at infinity), - * therefore it is not stored. All other values are actually - * stored with an offset of -1 in table. - */ - - if (!ecp_nistz256_bignum_to_field_elem(row[1 - 1].X, &point[i]->X) - || !ecp_nistz256_bignum_to_field_elem(row[1 - 1].Y, &point[i]->Y) - || !ecp_nistz256_bignum_to_field_elem(row[1 - 1].Z, &point[i]->Z)) { - ECerr(EC_F_ECP_NISTZ256_WINDOWED_MUL, EC_R_COORDINATES_OUT_OF_RANGE); - goto err; - } - - ecp_nistz256_point_double(&row[ 2 - 1], &row[ 1 - 1]); - ecp_nistz256_point_add (&row[ 3 - 1], &row[ 2 - 1], &row[1 - 1]); - ecp_nistz256_point_double(&row[ 4 - 1], &row[ 2 - 1]); - ecp_nistz256_point_double(&row[ 6 - 1], &row[ 3 - 1]); - ecp_nistz256_point_double(&row[ 8 - 1], &row[ 4 - 1]); - ecp_nistz256_point_double(&row[12 - 1], &row[ 6 - 1]); - ecp_nistz256_point_add (&row[ 5 - 1], &row[ 4 - 1], &row[1 - 1]); - ecp_nistz256_point_add (&row[ 7 - 1], &row[ 6 - 1], &row[1 - 1]); - ecp_nistz256_point_add (&row[ 9 - 1], &row[ 8 - 1], &row[1 - 1]); - ecp_nistz256_point_add (&row[13 - 1], &row[12 - 1], &row[1 - 1]); - ecp_nistz256_point_double(&row[14 - 1], &row[ 7 - 1]); - ecp_nistz256_point_double(&row[10 - 1], &row[ 5 - 1]); - ecp_nistz256_point_add (&row[15 - 1], &row[14 - 1], &row[1 - 1]); - ecp_nistz256_point_add (&row[11 - 1], &row[10 - 1], &row[1 - 1]); - ecp_nistz256_point_add (&row[16 - 1], &row[15 - 1], &row[1 - 1]); - } - - index = 255; - - wvalue = p_str[0][(index - 1) / 8]; - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - - ecp_nistz256_select_w5(r, table[0], _booth_recode_w5(wvalue) >> 1); - - while (index >= 5) { - for (i = (index == 255 ? 1 : 0); i < num; i++) { - unsigned int off = (index - 1) / 8; - - wvalue = p_str[i][off] | p_str[i][off + 1] << 8; - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - - wvalue = _booth_recode_w5(wvalue); - - ecp_nistz256_select_w5(&h, table[i], wvalue >> 1); - - ecp_nistz256_neg(tmp, h.Y); - copy_conditional(h.Y, tmp, (wvalue & 1)); - - ecp_nistz256_point_add(r, r, &h); - } - - index -= window_size; - - ecp_nistz256_point_double(r, r); - ecp_nistz256_point_double(r, r); - ecp_nistz256_point_double(r, r); - ecp_nistz256_point_double(r, r); - ecp_nistz256_point_double(r, r); - } - - /* Final window */ - for (i = 0; i < num; i++) { - wvalue = p_str[i][0]; - wvalue = (wvalue << 1) & mask; - - wvalue = _booth_recode_w5(wvalue); - - ecp_nistz256_select_w5(&h, table[i], wvalue >> 1); - - ecp_nistz256_neg(tmp, h.Y); - copy_conditional(h.Y, tmp, wvalue & 1); - - ecp_nistz256_point_add(r, r, &h); - } - - ret = 1; - err: - if (table_storage) - OPENSSL_free(table_storage); - if (p_str) - OPENSSL_free(p_str); - if (scalars) - OPENSSL_free(scalars); - return ret; -} - -/* Coordinates of G, for which we have precomputed tables */ -const static BN_ULONG def_xG[P256_LIMBS] = { - TOBN(0x79e730d4, 0x18a9143c), TOBN(0x75ba95fc, 0x5fedb601), - TOBN(0x79fb732b, 0x77622510), TOBN(0x18905f76, 0xa53755c6) -}; - -const static BN_ULONG def_yG[P256_LIMBS] = { - TOBN(0xddf25357, 0xce95560a), TOBN(0x8b4ab8e4, 0xba19e45c), - TOBN(0xd2e88688, 0xdd21f325), TOBN(0x8571ff18, 0x25885d85) -}; - -/* - * ecp_nistz256_is_affine_G returns one if |generator| is the standard, P-256 - * generator. - */ -static int ecp_nistz256_is_affine_G(const EC_POINT *generator) -{ - return (generator->X.top == P256_LIMBS) && - (generator->Y.top == P256_LIMBS) && - is_equal(generator->X.d, def_xG) && - is_equal(generator->Y.d, def_yG) && is_one(&generator->Z); -} - -static int ecp_nistz256_mult_precompute(EC_GROUP *group, BN_CTX *ctx) -{ - /* - * We precompute a table for a Booth encoded exponent (wNAF) based - * computation. Each table holds 64 values for safe access, with an - * implicit value of infinity at index zero. We use window of size 7, and - * therefore require ceil(256/7) = 37 tables. - */ - BIGNUM *order; - EC_POINT *P = NULL, *T = NULL; - const EC_POINT *generator; - EC_PRE_COMP *pre_comp; - BN_CTX *new_ctx = NULL; - int i, j, k, ret = 0; - size_t w; - - PRECOMP256_ROW *preComputedTable = NULL; - unsigned char *precomp_storage = NULL; - - /* if there is an old EC_PRE_COMP object, throw it away */ - EC_EX_DATA_free_data(&group->extra_data, ecp_nistz256_pre_comp_dup, - ecp_nistz256_pre_comp_free, - ecp_nistz256_pre_comp_clear_free); - - generator = EC_GROUP_get0_generator(group); - if (generator == NULL) { - ECerr(EC_F_ECP_NISTZ256_MULT_PRECOMPUTE, EC_R_UNDEFINED_GENERATOR); - return 0; - } - - if (ecp_nistz256_is_affine_G(generator)) { - /* - * No need to calculate tables for the standard generator because we - * have them statically. - */ - return 1; - } - - if ((pre_comp = ecp_nistz256_pre_comp_new(group)) == NULL) - return 0; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - goto err; - } - - BN_CTX_start(ctx); - order = BN_CTX_get(ctx); - - if (order == NULL) - goto err; - - if (!EC_GROUP_get_order(group, order, ctx)) - goto err; - - if (BN_is_zero(order)) { - ECerr(EC_F_ECP_NISTZ256_MULT_PRECOMPUTE, EC_R_UNKNOWN_ORDER); - goto err; - } - - w = 7; - - if ((precomp_storage = - OPENSSL_malloc(37 * 64 * sizeof(P256_POINT_AFFINE) + 64)) == NULL) { - ECerr(EC_F_ECP_NISTZ256_MULT_PRECOMPUTE, ERR_R_MALLOC_FAILURE); - goto err; - } else { - preComputedTable = (void *)ALIGNPTR(precomp_storage, 64); - } - - P = EC_POINT_new(group); - T = EC_POINT_new(group); - if (P == NULL || T == NULL) - goto err; - - /* - * The zero entry is implicitly infinity, and we skip it, storing other - * values with -1 offset. - */ - if (!EC_POINT_copy(T, generator)) - goto err; - - for (k = 0; k < 64; k++) { - if (!EC_POINT_copy(P, T)) - goto err; - for (j = 0; j < 37; j++) { - /* - * It would be faster to use EC_POINTs_make_affine and - * make multiple points affine at the same time. - */ - if (!EC_POINT_make_affine(group, P, ctx)) - goto err; - if (!ecp_nistz256_bignum_to_field_elem(preComputedTable[j][k].X, - &P->X) || - !ecp_nistz256_bignum_to_field_elem(preComputedTable[j][k].Y, - &P->Y)) { - ECerr(EC_F_ECP_NISTZ256_MULT_PRECOMPUTE, - EC_R_COORDINATES_OUT_OF_RANGE); - goto err; - } - for (i = 0; i < 7; i++) { - if (!EC_POINT_dbl(group, P, P, ctx)) - goto err; - } - } - if (!EC_POINT_add(group, T, T, generator, ctx)) - goto err; - } - - pre_comp->group = group; - pre_comp->w = w; - pre_comp->precomp = preComputedTable; - pre_comp->precomp_storage = precomp_storage; - - precomp_storage = NULL; - - if (!EC_EX_DATA_set_data(&group->extra_data, pre_comp, - ecp_nistz256_pre_comp_dup, - ecp_nistz256_pre_comp_free, - ecp_nistz256_pre_comp_clear_free)) { - goto err; - } - - pre_comp = NULL; - - ret = 1; - - err: - if (ctx != NULL) - BN_CTX_end(ctx); - BN_CTX_free(new_ctx); - - if (pre_comp) - ecp_nistz256_pre_comp_free(pre_comp); - if (precomp_storage) - OPENSSL_free(precomp_storage); - if (P) - EC_POINT_free(P); - if (T) - EC_POINT_free(T); - return ret; -} - -/* - * Note that by default ECP_NISTZ256_AVX2 is undefined. While it's great - * code processing 4 points in parallel, corresponding serial operation - * is several times slower, because it uses 29x29=58-bit multiplication - * as opposite to 64x64=128-bit in integer-only scalar case. As result - * it doesn't provide *significant* performance improvement. Note that - * just defining ECP_NISTZ256_AVX2 is not sufficient to make it work, - * you'd need to compile even asm/ecp_nistz256-avx.pl module. - */ -#if defined(ECP_NISTZ256_AVX2) -# if !(defined(__x86_64) || defined(__x86_64__)) || \ - defined(_M_AMD64) || defined(_MX64)) || \ - !(defined(__GNUC__) || defined(_MSC_VER)) /* this is for ALIGN32 */ -# undef ECP_NISTZ256_AVX2 -# else -/* Constant time access, loading four values, from four consecutive tables */ -void ecp_nistz256_avx2_select_w7(P256_POINT_AFFINE * val, - const P256_POINT_AFFINE * in_t, int index); -void ecp_nistz256_avx2_multi_select_w7(void *result, const void *in, int index0, - int index1, int index2, int index3); -void ecp_nistz256_avx2_transpose_convert(void *RESULTx4, const void *in); -void ecp_nistz256_avx2_convert_transpose_back(void *result, const void *Ax4); -void ecp_nistz256_avx2_point_add_affine_x4(void *RESULTx4, const void *Ax4, - const void *Bx4); -void ecp_nistz256_avx2_point_add_affines_x4(void *RESULTx4, const void *Ax4, - const void *Bx4); -void ecp_nistz256_avx2_to_mont(void *RESULTx4, const void *Ax4); -void ecp_nistz256_avx2_from_mont(void *RESULTx4, const void *Ax4); -void ecp_nistz256_avx2_set1(void *RESULTx4); -int ecp_nistz_avx2_eligible(void); - -static void booth_recode_w7(unsigned char *sign, - unsigned char *digit, unsigned char in) -{ - unsigned char s, d; - - s = ~((in >> 7) - 1); - d = (1 << 8) - in - 1; - d = (d & s) | (in & ~s); - d = (d >> 1) + (d & 1); - - *sign = s & 1; - *digit = d; -} - -/* - * ecp_nistz256_avx2_mul_g performs multiplication by G, using only the - * precomputed table. It does 4 affine point additions in parallel, - * significantly speeding up point multiplication for a fixed value. - */ -static void ecp_nistz256_avx2_mul_g(P256_POINT *r, - unsigned char p_str[33], - const P256_POINT_AFFINE(*preComputedTable)[64]) -{ - const unsigned int window_size = 7; - const unsigned int mask = (1 << (window_size + 1)) - 1; - unsigned int wvalue; - /* Using 4 windows at a time */ - unsigned char sign0, digit0; - unsigned char sign1, digit1; - unsigned char sign2, digit2; - unsigned char sign3, digit3; - unsigned int index = 0; - BN_ULONG tmp[P256_LIMBS]; - int i; - - ALIGN32 BN_ULONG aX4[4 * 9 * 3] = { 0 }; - ALIGN32 BN_ULONG bX4[4 * 9 * 2] = { 0 }; - ALIGN32 P256_POINT_AFFINE point_arr[P256_LIMBS]; - ALIGN32 P256_POINT res_point_arr[P256_LIMBS]; - - /* Initial four windows */ - wvalue = *((u16 *) & p_str[0]); - wvalue = (wvalue << 1) & mask; - index += window_size; - booth_recode_w7(&sign0, &digit0, wvalue); - wvalue = *((u16 *) & p_str[(index - 1) / 8]); - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - index += window_size; - booth_recode_w7(&sign1, &digit1, wvalue); - wvalue = *((u16 *) & p_str[(index - 1) / 8]); - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - index += window_size; - booth_recode_w7(&sign2, &digit2, wvalue); - wvalue = *((u16 *) & p_str[(index - 1) / 8]); - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - index += window_size; - booth_recode_w7(&sign3, &digit3, wvalue); - - ecp_nistz256_avx2_multi_select_w7(point_arr, preComputedTable[0], - digit0, digit1, digit2, digit3); - - ecp_nistz256_neg(tmp, point_arr[0].Y); - copy_conditional(point_arr[0].Y, tmp, sign0); - ecp_nistz256_neg(tmp, point_arr[1].Y); - copy_conditional(point_arr[1].Y, tmp, sign1); - ecp_nistz256_neg(tmp, point_arr[2].Y); - copy_conditional(point_arr[2].Y, tmp, sign2); - ecp_nistz256_neg(tmp, point_arr[3].Y); - copy_conditional(point_arr[3].Y, tmp, sign3); - - ecp_nistz256_avx2_transpose_convert(aX4, point_arr); - ecp_nistz256_avx2_to_mont(aX4, aX4); - ecp_nistz256_avx2_to_mont(&aX4[4 * 9], &aX4[4 * 9]); - ecp_nistz256_avx2_set1(&aX4[4 * 9 * 2]); - - wvalue = *((u16 *) & p_str[(index - 1) / 8]); - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - index += window_size; - booth_recode_w7(&sign0, &digit0, wvalue); - wvalue = *((u16 *) & p_str[(index - 1) / 8]); - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - index += window_size; - booth_recode_w7(&sign1, &digit1, wvalue); - wvalue = *((u16 *) & p_str[(index - 1) / 8]); - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - index += window_size; - booth_recode_w7(&sign2, &digit2, wvalue); - wvalue = *((u16 *) & p_str[(index - 1) / 8]); - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - index += window_size; - booth_recode_w7(&sign3, &digit3, wvalue); - - ecp_nistz256_avx2_multi_select_w7(point_arr, preComputedTable[4 * 1], - digit0, digit1, digit2, digit3); - - ecp_nistz256_neg(tmp, point_arr[0].Y); - copy_conditional(point_arr[0].Y, tmp, sign0); - ecp_nistz256_neg(tmp, point_arr[1].Y); - copy_conditional(point_arr[1].Y, tmp, sign1); - ecp_nistz256_neg(tmp, point_arr[2].Y); - copy_conditional(point_arr[2].Y, tmp, sign2); - ecp_nistz256_neg(tmp, point_arr[3].Y); - copy_conditional(point_arr[3].Y, tmp, sign3); - - ecp_nistz256_avx2_transpose_convert(bX4, point_arr); - ecp_nistz256_avx2_to_mont(bX4, bX4); - ecp_nistz256_avx2_to_mont(&bX4[4 * 9], &bX4[4 * 9]); - /* Optimized when both inputs are affine */ - ecp_nistz256_avx2_point_add_affines_x4(aX4, aX4, bX4); - - for (i = 2; i < 9; i++) { - wvalue = *((u16 *) & p_str[(index - 1) / 8]); - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - index += window_size; - booth_recode_w7(&sign0, &digit0, wvalue); - wvalue = *((u16 *) & p_str[(index - 1) / 8]); - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - index += window_size; - booth_recode_w7(&sign1, &digit1, wvalue); - wvalue = *((u16 *) & p_str[(index - 1) / 8]); - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - index += window_size; - booth_recode_w7(&sign2, &digit2, wvalue); - wvalue = *((u16 *) & p_str[(index - 1) / 8]); - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - index += window_size; - booth_recode_w7(&sign3, &digit3, wvalue); - - ecp_nistz256_avx2_multi_select_w7(point_arr, - preComputedTable[4 * i], - digit0, digit1, digit2, digit3); - - ecp_nistz256_neg(tmp, point_arr[0].Y); - copy_conditional(point_arr[0].Y, tmp, sign0); - ecp_nistz256_neg(tmp, point_arr[1].Y); - copy_conditional(point_arr[1].Y, tmp, sign1); - ecp_nistz256_neg(tmp, point_arr[2].Y); - copy_conditional(point_arr[2].Y, tmp, sign2); - ecp_nistz256_neg(tmp, point_arr[3].Y); - copy_conditional(point_arr[3].Y, tmp, sign3); - - ecp_nistz256_avx2_transpose_convert(bX4, point_arr); - ecp_nistz256_avx2_to_mont(bX4, bX4); - ecp_nistz256_avx2_to_mont(&bX4[4 * 9], &bX4[4 * 9]); - - ecp_nistz256_avx2_point_add_affine_x4(aX4, aX4, bX4); - } - - ecp_nistz256_avx2_from_mont(&aX4[4 * 9 * 0], &aX4[4 * 9 * 0]); - ecp_nistz256_avx2_from_mont(&aX4[4 * 9 * 1], &aX4[4 * 9 * 1]); - ecp_nistz256_avx2_from_mont(&aX4[4 * 9 * 2], &aX4[4 * 9 * 2]); - - ecp_nistz256_avx2_convert_transpose_back(res_point_arr, aX4); - /* Last window is performed serially */ - wvalue = *((u16 *) & p_str[(index - 1) / 8]); - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - booth_recode_w7(&sign0, &digit0, wvalue); - ecp_nistz256_avx2_select_w7((P256_POINT_AFFINE *) r, - preComputedTable[36], digit0); - ecp_nistz256_neg(tmp, r->Y); - copy_conditional(r->Y, tmp, sign0); - memcpy(r->Z, ONE, sizeof(ONE)); - /* Sum the four windows */ - ecp_nistz256_point_add(r, r, &res_point_arr[0]); - ecp_nistz256_point_add(r, r, &res_point_arr[1]); - ecp_nistz256_point_add(r, r, &res_point_arr[2]); - ecp_nistz256_point_add(r, r, &res_point_arr[3]); -} -# endif -#endif - -static int ecp_nistz256_set_from_affine(EC_POINT *out, const EC_GROUP *group, - const P256_POINT_AFFINE *in, - BN_CTX *ctx) -{ - BIGNUM x, y; - BN_ULONG d_x[P256_LIMBS], d_y[P256_LIMBS]; - int ret = 0; - - memcpy(d_x, in->X, sizeof(d_x)); - x.d = d_x; - x.dmax = x.top = P256_LIMBS; - x.neg = 0; - x.flags = BN_FLG_STATIC_DATA; - - memcpy(d_y, in->Y, sizeof(d_y)); - y.d = d_y; - y.dmax = y.top = P256_LIMBS; - y.neg = 0; - y.flags = BN_FLG_STATIC_DATA; - - ret = EC_POINT_set_affine_coordinates_GFp(group, out, &x, &y, ctx); - - return ret; -} - -/* r = scalar*G + sum(scalars[i]*points[i]) */ -static int ecp_nistz256_points_mul(const EC_GROUP *group, - EC_POINT *r, - const BIGNUM *scalar, - size_t num, - const EC_POINT *points[], - const BIGNUM *scalars[], BN_CTX *ctx) -{ - int i = 0, ret = 0, no_precomp_for_generator = 0, p_is_infinity = 0; - size_t j; - unsigned char p_str[33] = { 0 }; - const PRECOMP256_ROW *preComputedTable = NULL; - const EC_PRE_COMP *pre_comp = NULL; - const EC_POINT *generator = NULL; - unsigned int index = 0; - BN_CTX *new_ctx = NULL; - const BIGNUM **new_scalars = NULL; - const EC_POINT **new_points = NULL; - const unsigned int window_size = 7; - const unsigned int mask = (1 << (window_size + 1)) - 1; - unsigned int wvalue; - ALIGN32 union { - P256_POINT p; - P256_POINT_AFFINE a; - } t, p; - BIGNUM *tmp_scalar; - - if (group->meth != r->meth) { - ECerr(EC_F_ECP_NISTZ256_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - - if ((scalar == NULL) && (num == 0)) - return EC_POINT_set_to_infinity(group, r); - - for (j = 0; j < num; j++) { - if (group->meth != points[j]->meth) { - ECerr(EC_F_ECP_NISTZ256_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS); - return 0; - } - } - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - goto err; - } - - BN_CTX_start(ctx); - - if (scalar) { - generator = EC_GROUP_get0_generator(group); - if (generator == NULL) { - ECerr(EC_F_ECP_NISTZ256_POINTS_MUL, EC_R_UNDEFINED_GENERATOR); - goto err; - } - - /* look if we can use precomputed multiples of generator */ - pre_comp = - EC_EX_DATA_get_data(group->extra_data, ecp_nistz256_pre_comp_dup, - ecp_nistz256_pre_comp_free, - ecp_nistz256_pre_comp_clear_free); - - if (pre_comp) { - /* - * If there is a precomputed table for the generator, check that - * it was generated with the same generator. - */ - EC_POINT *pre_comp_generator = EC_POINT_new(group); - if (pre_comp_generator == NULL) - goto err; - - if (!ecp_nistz256_set_from_affine - (pre_comp_generator, group, pre_comp->precomp[0], ctx)) { - EC_POINT_free(pre_comp_generator); - goto err; - } - - if (0 == EC_POINT_cmp(group, generator, pre_comp_generator, ctx)) - preComputedTable = (const PRECOMP256_ROW *)pre_comp->precomp; - - EC_POINT_free(pre_comp_generator); - } - - if (preComputedTable == NULL && ecp_nistz256_is_affine_G(generator)) { - /* - * If there is no precomputed data, but the generator - * is the default, a hardcoded table of precomputed - * data is used. This is because applications, such as - * Apache, do not use EC_KEY_precompute_mult. - */ - preComputedTable = (const PRECOMP256_ROW *)ecp_nistz256_precomputed; - } - - if (preComputedTable) { - if ((BN_num_bits(scalar) > 256) - || BN_is_negative(scalar)) { - if ((tmp_scalar = BN_CTX_get(ctx)) == NULL) - goto err; - - if (!BN_nnmod(tmp_scalar, scalar, &group->order, ctx)) { - ECerr(EC_F_ECP_NISTZ256_POINTS_MUL, ERR_R_BN_LIB); - goto err; - } - scalar = tmp_scalar; - } - - for (i = 0; i < scalar->top * BN_BYTES; i += BN_BYTES) { - BN_ULONG d = scalar->d[i / BN_BYTES]; - - p_str[i + 0] = d & 0xff; - p_str[i + 1] = (d >> 8) & 0xff; - p_str[i + 2] = (d >> 16) & 0xff; - p_str[i + 3] = (d >>= 24) & 0xff; - if (BN_BYTES == 8) { - d >>= 8; - p_str[i + 4] = d & 0xff; - p_str[i + 5] = (d >> 8) & 0xff; - p_str[i + 6] = (d >> 16) & 0xff; - p_str[i + 7] = (d >> 24) & 0xff; - } - } - - for (; i < 33; i++) - p_str[i] = 0; - -#if defined(ECP_NISTZ256_AVX2) - if (ecp_nistz_avx2_eligible()) { - ecp_nistz256_avx2_mul_g(&p.p, p_str, preComputedTable); - } else -#endif - { - BN_ULONG infty; - - /* First window */ - wvalue = (p_str[0] << 1) & mask; - index += window_size; - - wvalue = _booth_recode_w7(wvalue); - - ecp_nistz256_select_w7(&p.a, preComputedTable[0], wvalue >> 1); - - ecp_nistz256_neg(p.p.Z, p.p.Y); - copy_conditional(p.p.Y, p.p.Z, wvalue & 1); - - /* - * Since affine infinity is encoded as (0,0) and - * Jacobian ias (,,0), we need to harmonize them - * by assigning "one" or zero to Z. - */ - infty = (p.p.X[0] | p.p.X[1] | p.p.X[2] | p.p.X[3] | - p.p.Y[0] | p.p.Y[1] | p.p.Y[2] | p.p.Y[3]); - if (P256_LIMBS == 8) - infty |= (p.p.X[4] | p.p.X[5] | p.p.X[6] | p.p.X[7] | - p.p.Y[4] | p.p.Y[5] | p.p.Y[6] | p.p.Y[7]); - - infty = 0 - is_zero(infty); - infty = ~infty; - - p.p.Z[0] = ONE[0] & infty; - p.p.Z[1] = ONE[1] & infty; - p.p.Z[2] = ONE[2] & infty; - p.p.Z[3] = ONE[3] & infty; - if (P256_LIMBS == 8) { - p.p.Z[4] = ONE[4] & infty; - p.p.Z[5] = ONE[5] & infty; - p.p.Z[6] = ONE[6] & infty; - p.p.Z[7] = ONE[7] & infty; - } - - for (i = 1; i < 37; i++) { - unsigned int off = (index - 1) / 8; - wvalue = p_str[off] | p_str[off + 1] << 8; - wvalue = (wvalue >> ((index - 1) % 8)) & mask; - index += window_size; - - wvalue = _booth_recode_w7(wvalue); - - ecp_nistz256_select_w7(&t.a, - preComputedTable[i], wvalue >> 1); - - ecp_nistz256_neg(t.p.Z, t.a.Y); - copy_conditional(t.a.Y, t.p.Z, wvalue & 1); - - ecp_nistz256_point_add_affine(&p.p, &p.p, &t.a); - } - } - } else { - p_is_infinity = 1; - no_precomp_for_generator = 1; - } - } else - p_is_infinity = 1; - - if (no_precomp_for_generator) { - /* - * Without a precomputed table for the generator, it has to be - * handled like a normal point. - */ - new_scalars = OPENSSL_malloc((num + 1) * sizeof(BIGNUM *)); - if (!new_scalars) { - ECerr(EC_F_ECP_NISTZ256_POINTS_MUL, ERR_R_MALLOC_FAILURE); - goto err; - } - - new_points = OPENSSL_malloc((num + 1) * sizeof(EC_POINT *)); - if (!new_points) { - ECerr(EC_F_ECP_NISTZ256_POINTS_MUL, ERR_R_MALLOC_FAILURE); - goto err; - } - - memcpy(new_scalars, scalars, num * sizeof(BIGNUM *)); - new_scalars[num] = scalar; - memcpy(new_points, points, num * sizeof(EC_POINT *)); - new_points[num] = generator; - - scalars = new_scalars; - points = new_points; - num++; - } - - if (num) { - P256_POINT *out = &t.p; - if (p_is_infinity) - out = &p.p; - - if (!ecp_nistz256_windowed_mul(group, out, scalars, points, num, ctx)) - goto err; - - if (!p_is_infinity) - ecp_nistz256_point_add(&p.p, &p.p, out); - } - - /* Not constant-time, but we're only operating on the public output. */ - if (!ecp_nistz256_set_words(&r->X, p.p.X) || - !ecp_nistz256_set_words(&r->Y, p.p.Y) || - !ecp_nistz256_set_words(&r->Z, p.p.Z)) { - goto err; - } - r->Z_is_one = is_one(&r->Z) & 1; - - ret = 1; - -err: - if (ctx) - BN_CTX_end(ctx); - BN_CTX_free(new_ctx); - if (new_points) - OPENSSL_free(new_points); - if (new_scalars) - OPENSSL_free(new_scalars); - return ret; -} - -static int ecp_nistz256_get_affine(const EC_GROUP *group, - const EC_POINT *point, - BIGNUM *x, BIGNUM *y, BN_CTX *ctx) -{ - BN_ULONG z_inv2[P256_LIMBS]; - BN_ULONG z_inv3[P256_LIMBS]; - BN_ULONG x_aff[P256_LIMBS]; - BN_ULONG y_aff[P256_LIMBS]; - BN_ULONG point_x[P256_LIMBS], point_y[P256_LIMBS], point_z[P256_LIMBS]; - BN_ULONG x_ret[P256_LIMBS], y_ret[P256_LIMBS]; - - if (EC_POINT_is_at_infinity(group, point)) { - ECerr(EC_F_ECP_NISTZ256_GET_AFFINE, EC_R_POINT_AT_INFINITY); - return 0; - } - - if (!ecp_nistz256_bignum_to_field_elem(point_x, &point->X) || - !ecp_nistz256_bignum_to_field_elem(point_y, &point->Y) || - !ecp_nistz256_bignum_to_field_elem(point_z, &point->Z)) { - ECerr(EC_F_ECP_NISTZ256_GET_AFFINE, EC_R_COORDINATES_OUT_OF_RANGE); - return 0; - } - - ecp_nistz256_mod_inverse(z_inv3, point_z); - ecp_nistz256_sqr_mont(z_inv2, z_inv3); - ecp_nistz256_mul_mont(x_aff, z_inv2, point_x); - - if (x != NULL) { - ecp_nistz256_from_mont(x_ret, x_aff); - if (!ecp_nistz256_set_words(x, x_ret)) - return 0; - } - - if (y != NULL) { - ecp_nistz256_mul_mont(z_inv3, z_inv3, z_inv2); - ecp_nistz256_mul_mont(y_aff, z_inv3, point_y); - ecp_nistz256_from_mont(y_ret, y_aff); - if (!ecp_nistz256_set_words(y, y_ret)) - return 0; - } - - return 1; -} - -static EC_PRE_COMP *ecp_nistz256_pre_comp_new(const EC_GROUP *group) -{ - EC_PRE_COMP *ret = NULL; - - if (!group) - return NULL; - - ret = (EC_PRE_COMP *)OPENSSL_malloc(sizeof(EC_PRE_COMP)); - - if (!ret) { - ECerr(EC_F_ECP_NISTZ256_PRE_COMP_NEW, ERR_R_MALLOC_FAILURE); - return ret; - } - - ret->group = group; - ret->w = 6; /* default */ - ret->precomp = NULL; - ret->precomp_storage = NULL; - ret->references = 1; - return ret; -} - -static void *ecp_nistz256_pre_comp_dup(void *src_) -{ - EC_PRE_COMP *src = src_; - - /* no need to actually copy, these objects never change! */ - CRYPTO_add(&src->references, 1, CRYPTO_LOCK_EC_PRE_COMP); - - return src_; -} - -static void ecp_nistz256_pre_comp_free(void *pre_) -{ - int i; - EC_PRE_COMP *pre = pre_; - - if (!pre) - return; - - i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP); - if (i > 0) - return; - - if (pre->precomp_storage) - OPENSSL_free(pre->precomp_storage); - - OPENSSL_free(pre); -} - -static void ecp_nistz256_pre_comp_clear_free(void *pre_) -{ - int i; - EC_PRE_COMP *pre = pre_; - - if (!pre) - return; - - i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP); - if (i > 0) - return; - - if (pre->precomp_storage) { - OPENSSL_cleanse(pre->precomp, - 32 * sizeof(unsigned char) * (1 << pre->w) * 2 * 37); - OPENSSL_free(pre->precomp_storage); - } - OPENSSL_cleanse(pre, sizeof *pre); - OPENSSL_free(pre); -} - -static int ecp_nistz256_window_have_precompute_mult(const EC_GROUP *group) -{ - /* There is a hard-coded table for the default generator. */ - const EC_POINT *generator = EC_GROUP_get0_generator(group); - if (generator != NULL && ecp_nistz256_is_affine_G(generator)) { - /* There is a hard-coded table for the default generator. */ - return 1; - } - - return EC_EX_DATA_get_data(group->extra_data, ecp_nistz256_pre_comp_dup, - ecp_nistz256_pre_comp_free, - ecp_nistz256_pre_comp_clear_free) != NULL; -} - -const EC_METHOD *EC_GFp_nistz256_method(void) -{ - static const EC_METHOD ret = { - EC_FLAGS_DEFAULT_OCT, - NID_X9_62_prime_field, - ec_GFp_mont_group_init, - ec_GFp_mont_group_finish, - ec_GFp_mont_group_clear_finish, - ec_GFp_mont_group_copy, - ec_GFp_mont_group_set_curve, - ec_GFp_simple_group_get_curve, - ec_GFp_simple_group_get_degree, - ec_GFp_simple_group_check_discriminant, - ec_GFp_simple_point_init, - ec_GFp_simple_point_finish, - ec_GFp_simple_point_clear_finish, - ec_GFp_simple_point_copy, - ec_GFp_simple_point_set_to_infinity, - ec_GFp_simple_set_Jprojective_coordinates_GFp, - ec_GFp_simple_get_Jprojective_coordinates_GFp, - ec_GFp_simple_point_set_affine_coordinates, - ecp_nistz256_get_affine, - 0, 0, 0, - ec_GFp_simple_add, - ec_GFp_simple_dbl, - ec_GFp_simple_invert, - ec_GFp_simple_is_at_infinity, - ec_GFp_simple_is_on_curve, - ec_GFp_simple_cmp, - ec_GFp_simple_make_affine, - ec_GFp_simple_points_make_affine, - ecp_nistz256_points_mul, /* mul */ - ecp_nistz256_mult_precompute, /* precompute_mult */ - ecp_nistz256_window_have_precompute_mult, /* have_precompute_mult */ - ec_GFp_mont_field_mul, - ec_GFp_mont_field_sqr, - 0, /* field_div */ - ec_GFp_mont_field_encode, - ec_GFp_mont_field_decode, - ec_GFp_mont_field_set_to_one - }; - - return &ret; -} diff --git a/thirdparty/openssl/crypto/ec/ecp_nistz256_table.c b/thirdparty/openssl/crypto/ec/ecp_nistz256_table.c deleted file mode 100644 index 2f0797db6b..0000000000 --- a/thirdparty/openssl/crypto/ec/ecp_nistz256_table.c +++ /dev/null @@ -1,9533 +0,0 @@ -/* - * This is the precomputed constant time access table for the code in - * ecp_montp256.c, for the default generator. The table consists of 37 - * subtables, each subtable contains 64 affine points. The affine points are - * encoded as eight uint64's, four for the x coordinate and four for the y. - * Both values are in little-endian order. There are 37 tables because a - * signed, 6-bit wNAF form of the scalar is used and ceil(256/(6 + 1)) = 37. - * Within each table there are 64 values because the 6-bit wNAF value can - * take 64 values, ignoring the sign bit, which is implemented by performing - * a negation of the affine point when required. We would like to align it - * to 2MB in order to increase the chances of using a large page but that - * appears to lead to invalid ELF files being produced. - */ - -#if defined(__GNUC__) -__attribute((aligned(4096))) -#elif defined(_MSC_VER) -__declspec(align(4096)) -#elif defined(__SUNPRO_C) -# pragma align 64(ecp_nistz256_precomputed) -#endif -static const BN_ULONG ecp_nistz256_precomputed[37][64 * - sizeof(P256_POINT_AFFINE) / - sizeof(BN_ULONG)] = { - {TOBN(0x79e730d4, 0x18a9143c), TOBN(0x75ba95fc, 0x5fedb601), - TOBN(0x79fb732b, 0x77622510), TOBN(0x18905f76, 0xa53755c6), - TOBN(0xddf25357, 0xce95560a), TOBN(0x8b4ab8e4, 0xba19e45c), - TOBN(0xd2e88688, 0xdd21f325), TOBN(0x8571ff18, 0x25885d85), - TOBN(0x850046d4, 0x10ddd64d), TOBN(0xaa6ae3c1, 0xa433827d), - TOBN(0x73220503, 0x8d1490d9), TOBN(0xf6bb32e4, 0x3dcf3a3b), - TOBN(0x2f3648d3, 0x61bee1a5), TOBN(0x152cd7cb, 0xeb236ff8), - TOBN(0x19a8fb0e, 0x92042dbe), TOBN(0x78c57751, 0x0a5b8a3b), - TOBN(0xffac3f90, 0x4eebc127), TOBN(0xb027f84a, 0x087d81fb), - TOBN(0x66ad77dd, 0x87cbbc98), TOBN(0x26936a3f, 0xb6ff747e), - TOBN(0xb04c5c1f, 0xc983a7eb), TOBN(0x583e47ad, 0x0861fe1a), - TOBN(0x78820831, 0x1a2ee98e), TOBN(0xd5f06a29, 0xe587cc07), - TOBN(0x74b0b50d, 0x46918dcc), TOBN(0x4650a6ed, 0xc623c173), - TOBN(0x0cdaacac, 0xe8100af2), TOBN(0x577362f5, 0x41b0176b), - TOBN(0x2d96f24c, 0xe4cbaba6), TOBN(0x17628471, 0xfad6f447), - TOBN(0x6b6c36de, 0xe5ddd22e), TOBN(0x84b14c39, 0x4c5ab863), - TOBN(0xbe1b8aae, 0xc45c61f5), TOBN(0x90ec649a, 0x94b9537d), - TOBN(0x941cb5aa, 0xd076c20c), TOBN(0xc9079605, 0x890523c8), - TOBN(0xeb309b4a, 0xe7ba4f10), TOBN(0x73c568ef, 0xe5eb882b), - TOBN(0x3540a987, 0x7e7a1f68), TOBN(0x73a076bb, 0x2dd1e916), - TOBN(0x40394737, 0x3e77664a), TOBN(0x55ae744f, 0x346cee3e), - TOBN(0xd50a961a, 0x5b17a3ad), TOBN(0x13074b59, 0x54213673), - TOBN(0x93d36220, 0xd377e44b), TOBN(0x299c2b53, 0xadff14b5), - TOBN(0xf424d44c, 0xef639f11), TOBN(0xa4c9916d, 0x4a07f75f), - TOBN(0x0746354e, 0xa0173b4f), TOBN(0x2bd20213, 0xd23c00f7), - TOBN(0xf43eaab5, 0x0c23bb08), TOBN(0x13ba5119, 0xc3123e03), - TOBN(0x2847d030, 0x3f5b9d4d), TOBN(0x6742f2f2, 0x5da67bdd), - TOBN(0xef933bdc, 0x77c94195), TOBN(0xeaedd915, 0x6e240867), - TOBN(0x27f14cd1, 0x9499a78f), TOBN(0x462ab5c5, 0x6f9b3455), - TOBN(0x8f90f02a, 0xf02cfc6b), TOBN(0xb763891e, 0xb265230d), - TOBN(0xf59da3a9, 0x532d4977), TOBN(0x21e3327d, 0xcf9eba15), - TOBN(0x123c7b84, 0xbe60bbf0), TOBN(0x56ec12f2, 0x7706df76), - TOBN(0x75c96e8f, 0x264e20e8), TOBN(0xabe6bfed, 0x59a7a841), - TOBN(0x2cc09c04, 0x44c8eb00), TOBN(0xe05b3080, 0xf0c4e16b), - TOBN(0x1eb7777a, 0xa45f3314), TOBN(0x56af7bed, 0xce5d45e3), - TOBN(0x2b6e019a, 0x88b12f1a), TOBN(0x086659cd, 0xfd835f9b), - TOBN(0x2c18dbd1, 0x9dc21ec8), TOBN(0x98f9868a, 0x0fcf8139), - TOBN(0x737d2cd6, 0x48250b49), TOBN(0xcc61c947, 0x24b3428f), - TOBN(0x0c2b4078, 0x80dd9e76), TOBN(0xc43a8991, 0x383fbe08), - TOBN(0x5f7d2d65, 0x779be5d2), TOBN(0x78719a54, 0xeb3b4ab5), - TOBN(0xea7d260a, 0x6245e404), TOBN(0x9de40795, 0x6e7fdfe0), - TOBN(0x1ff3a415, 0x8dac1ab5), TOBN(0x3e7090f1, 0x649c9073), - TOBN(0x1a768561, 0x2b944e88), TOBN(0x250f939e, 0xe57f61c8), - TOBN(0x0c0daa89, 0x1ead643d), TOBN(0x68930023, 0xe125b88e), - TOBN(0x04b71aa7, 0xd2697768), TOBN(0xabdedef5, 0xca345a33), - TOBN(0x2409d29d, 0xee37385e), TOBN(0x4ee1df77, 0xcb83e156), - TOBN(0x0cac12d9, 0x1cbb5b43), TOBN(0x170ed2f6, 0xca895637), - TOBN(0x28228cfa, 0x8ade6d66), TOBN(0x7ff57c95, 0x53238aca), - TOBN(0xccc42563, 0x4b2ed709), TOBN(0x0e356769, 0x856fd30d), - TOBN(0xbcbcd43f, 0x559e9811), TOBN(0x738477ac, 0x5395b759), - TOBN(0x35752b90, 0xc00ee17f), TOBN(0x68748390, 0x742ed2e3), - TOBN(0x7cd06422, 0xbd1f5bc1), TOBN(0xfbc08769, 0xc9e7b797), - TOBN(0xa242a35b, 0xb0cf664a), TOBN(0x126e48f7, 0x7f9707e3), - TOBN(0x1717bf54, 0xc6832660), TOBN(0xfaae7332, 0xfd12c72e), - TOBN(0x27b52db7, 0x995d586b), TOBN(0xbe29569e, 0x832237c2), - TOBN(0xe8e4193e, 0x2a65e7db), TOBN(0x152706dc, 0x2eaa1bbb), - TOBN(0x72bcd8b7, 0xbc60055b), TOBN(0x03cc23ee, 0x56e27e4b), - TOBN(0xee337424, 0xe4819370), TOBN(0xe2aa0e43, 0x0ad3da09), - TOBN(0x40b8524f, 0x6383c45d), TOBN(0xd7663554, 0x42a41b25), - TOBN(0x64efa6de, 0x778a4797), TOBN(0x2042170a, 0x7079adf4), - TOBN(0x808b0b65, 0x0bc6fb80), TOBN(0x5882e075, 0x3ffe2e6b), - TOBN(0xd5ef2f7c, 0x2c83f549), TOBN(0x54d63c80, 0x9103b723), - TOBN(0xf2f11bd6, 0x52a23f9b), TOBN(0x3670c319, 0x4b0b6587), - TOBN(0x55c4623b, 0xb1580e9e), TOBN(0x64edf7b2, 0x01efe220), - TOBN(0x97091dcb, 0xd53c5c9d), TOBN(0xf17624b6, 0xac0a177b), - TOBN(0xb0f13975, 0x2cfe2dff), TOBN(0xc1a35c0a, 0x6c7a574e), - TOBN(0x227d3146, 0x93e79987), TOBN(0x0575bf30, 0xe89cb80e), - TOBN(0x2f4e247f, 0x0d1883bb), TOBN(0xebd51226, 0x3274c3d0), - TOBN(0x5f3e51c8, 0x56ada97a), TOBN(0x4afc964d, 0x8f8b403e), - TOBN(0xa6f247ab, 0x412e2979), TOBN(0x675abd1b, 0x6f80ebda), - TOBN(0x66a2bd72, 0x5e485a1d), TOBN(0x4b2a5caf, 0x8f4f0b3c), - TOBN(0x2626927f, 0x1b847bba), TOBN(0x6c6fc7d9, 0x0502394d), - TOBN(0xfea912ba, 0xa5659ae8), TOBN(0x68363aba, 0x25e1a16e), - TOBN(0xb8842277, 0x752c41ac), TOBN(0xfe545c28, 0x2897c3fc), - TOBN(0x2d36e9e7, 0xdc4c696b), TOBN(0x5806244a, 0xfba977c5), - TOBN(0x85665e9b, 0xe39508c1), TOBN(0xf720ee25, 0x6d12597b), - TOBN(0x8a979129, 0xd2337a31), TOBN(0x5916868f, 0x0f862bdc), - TOBN(0x048099d9, 0x5dd283ba), TOBN(0xe2d1eeb6, 0xfe5bfb4e), - TOBN(0x82ef1c41, 0x7884005d), TOBN(0xa2d4ec17, 0xffffcbae), - TOBN(0x9161c53f, 0x8aa95e66), TOBN(0x5ee104e1, 0xc5fee0d0), - TOBN(0x562e4cec, 0xc135b208), TOBN(0x74e1b265, 0x4783f47d), - TOBN(0x6d2a506c, 0x5a3f3b30), TOBN(0xecead9f4, 0xc16762fc), - TOBN(0xf29dd4b2, 0xe286e5b9), TOBN(0x1b0fadc0, 0x83bb3c61), - TOBN(0x7a75023e, 0x7fac29a4), TOBN(0xc086d5f1, 0xc9477fa3), - TOBN(0x0fc61135, 0x2f6f3076), TOBN(0xc99ffa23, 0xe3912a9a), - TOBN(0x6a0b0685, 0xd2f8ba3d), TOBN(0xfdc777e8, 0xe93358a4), - TOBN(0x94a787bb, 0x35415f04), TOBN(0x640c2d6a, 0x4d23fea4), - TOBN(0x9de917da, 0x153a35b5), TOBN(0x793e8d07, 0x5d5cd074), - TOBN(0xf4f87653, 0x2de45068), TOBN(0x37c7a7e8, 0x9e2e1f6e), - TOBN(0xd0825fa2, 0xa3584069), TOBN(0xaf2cea7c, 0x1727bf42), - TOBN(0x0360a4fb, 0x9e4785a9), TOBN(0xe5fda49c, 0x27299f4a), - TOBN(0x48068e13, 0x71ac2f71), TOBN(0x83d0687b, 0x9077666f), - TOBN(0x6d3883b2, 0x15d02819), TOBN(0x6d0d7550, 0x40dd9a35), - TOBN(0x61d7cbf9, 0x1d2b469f), TOBN(0xf97b232f, 0x2efc3115), - TOBN(0xa551d750, 0xb24bcbc7), TOBN(0x11ea4949, 0x88a1e356), - TOBN(0x7669f031, 0x93cb7501), TOBN(0x595dc55e, 0xca737b8a), - TOBN(0xa4a319ac, 0xd837879f), TOBN(0x6fc1b49e, 0xed6b67b0), - TOBN(0xe3959933, 0x32f1f3af), TOBN(0x966742eb, 0x65432a2e), - TOBN(0x4b8dc9fe, 0xb4966228), TOBN(0x96cc6312, 0x43f43950), - TOBN(0x12068859, 0xc9b731ee), TOBN(0x7b948dc3, 0x56f79968), - TOBN(0x61e4ad32, 0xed1f8008), TOBN(0xe6c9267a, 0xd8b17538), - TOBN(0x1ac7c5eb, 0x857ff6fb), TOBN(0x994baaa8, 0x55f2fb10), - TOBN(0x84cf14e1, 0x1d248018), TOBN(0x5a39898b, 0x628ac508), - TOBN(0x14fde97b, 0x5fa944f5), TOBN(0xed178030, 0xd12e5ac7), - TOBN(0x042c2af4, 0x97e2feb4), TOBN(0xd36a42d7, 0xaebf7313), - TOBN(0x49d2c9eb, 0x084ffdd7), TOBN(0x9f8aa54b, 0x2ef7c76a), - TOBN(0x9200b7ba, 0x09895e70), TOBN(0x3bd0c66f, 0xddb7fb58), - TOBN(0x2d97d108, 0x78eb4cbb), TOBN(0x2d431068, 0xd84bde31), - TOBN(0x4b523eb7, 0x172ccd1f), TOBN(0x7323cb28, 0x30a6a892), - TOBN(0x97082ec0, 0xcfe153eb), TOBN(0xe97f6b6a, 0xf2aadb97), - TOBN(0x1d3d393e, 0xd1a83da1), TOBN(0xa6a7f9c7, 0x804b2a68), - TOBN(0x4a688b48, 0x2d0cb71e), TOBN(0xa9b4cc5f, 0x40585278), - TOBN(0x5e5db46a, 0xcb66e132), TOBN(0xf1be963a, 0x0d925880), - TOBN(0x944a7027, 0x0317b9e2), TOBN(0xe266f959, 0x48603d48), - TOBN(0x98db6673, 0x5c208899), TOBN(0x90472447, 0xa2fb18a3), - TOBN(0x8a966939, 0x777c619f), TOBN(0x3798142a, 0x2a3be21b), - TOBN(0xb4241cb1, 0x3298b343), TOBN(0xa3a14e49, 0xb44f65a1), - TOBN(0xc5f4d6cd, 0x3ac77acd), TOBN(0xd0288cb5, 0x52b6fc3c), - TOBN(0xd5cc8c2f, 0x1c040abc), TOBN(0xb675511e, 0x06bf9b4a), - TOBN(0xd667da37, 0x9b3aa441), TOBN(0x460d45ce, 0x51601f72), - TOBN(0xe2f73c69, 0x6755ff89), TOBN(0xdd3cf7e7, 0x473017e6), - TOBN(0x8ef5689d, 0x3cf7600d), TOBN(0x948dc4f8, 0xb1fc87b4), - TOBN(0xd9e9fe81, 0x4ea53299), TOBN(0x2d921ca2, 0x98eb6028), - TOBN(0xfaecedfd, 0x0c9803fc), TOBN(0xf38ae891, 0x4d7b4745), - TOBN(0xd8c5fccf, 0xc5e3a3d8), TOBN(0xbefd904c, 0x4079dfbf), - TOBN(0xbc6d6a58, 0xfead0197), TOBN(0x39227077, 0x695532a4), - TOBN(0x09e23e6d, 0xdbef42f5), TOBN(0x7e449b64, 0x480a9908), - TOBN(0x7b969c1a, 0xad9a2e40), TOBN(0x6231d792, 0x9591c2a4), - TOBN(0x87151456, 0x0f664534), TOBN(0x85ceae7c, 0x4b68f103), - TOBN(0xac09c4ae, 0x65578ab9), TOBN(0x33ec6868, 0xf044b10c), - TOBN(0x6ac4832b, 0x3a8ec1f1), TOBN(0x5509d128, 0x5847d5ef), - TOBN(0xf909604f, 0x763f1574), TOBN(0xb16c4303, 0xc32f63c4), - TOBN(0xb6ab2014, 0x7ca23cd3), TOBN(0xcaa7a5c6, 0xa391849d), - TOBN(0x5b0673a3, 0x75678d94), TOBN(0xc982ddd4, 0xdd303e64), - TOBN(0xfd7b000b, 0x5db6f971), TOBN(0xbba2cb1f, 0x6f876f92), - TOBN(0xc77332a3, 0x3c569426), TOBN(0xa159100c, 0x570d74f8), - TOBN(0xfd16847f, 0xdec67ef5), TOBN(0x742ee464, 0x233e76b7), - TOBN(0x0b8e4134, 0xefc2b4c8), TOBN(0xca640b86, 0x42a3e521), - TOBN(0x653a0190, 0x8ceb6aa9), TOBN(0x313c300c, 0x547852d5), - TOBN(0x24e4ab12, 0x6b237af7), TOBN(0x2ba90162, 0x8bb47af8), - TOBN(0x3d5e58d6, 0xa8219bb7), TOBN(0xc691d0bd, 0x1b06c57f), - TOBN(0x0ae4cb10, 0xd257576e), TOBN(0x3569656c, 0xd54a3dc3), - TOBN(0xe5ebaebd, 0x94cda03a), TOBN(0x934e82d3, 0x162bfe13), - TOBN(0x450ac0ba, 0xe251a0c6), TOBN(0x480b9e11, 0xdd6da526), - TOBN(0x00467bc5, 0x8cce08b5), TOBN(0xb636458c, 0x7f178d55), - TOBN(0xc5748bae, 0xa677d806), TOBN(0x2763a387, 0xdfa394eb), - TOBN(0xa12b448a, 0x7d3cebb6), TOBN(0xe7adda3e, 0x6f20d850), - TOBN(0xf63ebce5, 0x1558462c), TOBN(0x58b36143, 0x620088a8), - TOBN(0x8a2cc3ca, 0x4d63c0ee), TOBN(0x51233117, 0x0fe948ce), - TOBN(0x7463fd85, 0x222ef33b), TOBN(0xadf0c7dc, 0x7c603d6c), - TOBN(0x0ec32d3b, 0xfe7765e5), TOBN(0xccaab359, 0xbf380409), - TOBN(0xbdaa84d6, 0x8e59319c), TOBN(0xd9a4c280, 0x9c80c34d), - TOBN(0xa9d89488, 0xa059c142), TOBN(0x6f5ae714, 0xff0b9346), - TOBN(0x068f237d, 0x16fb3664), TOBN(0x5853e4c4, 0x363186ac), - TOBN(0xe2d87d23, 0x63c52f98), TOBN(0x2ec4a766, 0x81828876), - TOBN(0x47b864fa, 0xe14e7b1c), TOBN(0x0c0bc0e5, 0x69192408), - TOBN(0xe4d7681d, 0xb82e9f3e), TOBN(0x83200f0b, 0xdf25e13c), - TOBN(0x8909984c, 0x66f27280), TOBN(0x462d7b00, 0x75f73227), - TOBN(0xd90ba188, 0xf2651798), TOBN(0x74c6e18c, 0x36ab1c34), - TOBN(0xab256ea3, 0x5ef54359), TOBN(0x03466612, 0xd1aa702f), - TOBN(0x624d6049, 0x2ed22e91), TOBN(0x6fdfe0b5, 0x6f072822), - TOBN(0xeeca1115, 0x39ce2271), TOBN(0x98100a4f, 0xdb01614f), - TOBN(0xb6b0daa2, 0xa35c628f), TOBN(0xb6f94d2e, 0xc87e9a47), - TOBN(0xc6773259, 0x1d57d9ce), TOBN(0xf70bfeec, 0x03884a7b), - TOBN(0x5fb35ccf, 0xed2bad01), TOBN(0xa155cbe3, 0x1da6a5c7), - TOBN(0xc2e2594c, 0x30a92f8f), TOBN(0x649c89ce, 0x5bfafe43), - TOBN(0xd158667d, 0xe9ff257a), TOBN(0x9b359611, 0xf32c50ae), - TOBN(0x4b00b20b, 0x906014cf), TOBN(0xf3a8cfe3, 0x89bc7d3d), - TOBN(0x4ff23ffd, 0x248a7d06), TOBN(0x80c5bfb4, 0x878873fa), - TOBN(0xb7d9ad90, 0x05745981), TOBN(0x179c85db, 0x3db01994), - TOBN(0xba41b062, 0x61a6966c), TOBN(0x4d82d052, 0xeadce5a8), - TOBN(0x9e91cd3b, 0xa5e6a318), TOBN(0x47795f4f, 0x95b2dda0), - TOBN(0xecfd7c1f, 0xd55a897c), TOBN(0x009194ab, 0xb29110fb), - TOBN(0x5f0e2046, 0xe381d3b0), TOBN(0x5f3425f6, 0xa98dd291), - TOBN(0xbfa06687, 0x730d50da), TOBN(0x0423446c, 0x4b083b7f), - TOBN(0x397a247d, 0xd69d3417), TOBN(0xeb629f90, 0x387ba42a), - TOBN(0x1ee426cc, 0xd5cd79bf), TOBN(0x0032940b, 0x946c6e18), - TOBN(0x1b1e8ae0, 0x57477f58), TOBN(0xe94f7d34, 0x6d823278), - TOBN(0xc747cb96, 0x782ba21a), TOBN(0xc5254469, 0xf72b33a5), - TOBN(0x772ef6de, 0xc7f80c81), TOBN(0xd73acbfe, 0x2cd9e6b5), - TOBN(0x4075b5b1, 0x49ee90d9), TOBN(0x785c339a, 0xa06e9eba), - TOBN(0xa1030d5b, 0xabf825e0), TOBN(0xcec684c3, 0xa42931dc), - TOBN(0x42ab62c9, 0xc1586e63), TOBN(0x45431d66, 0x5ab43f2b), - TOBN(0x57c8b2c0, 0x55f7835d), TOBN(0x033da338, 0xc1b7f865), - TOBN(0x283c7513, 0xcaa76097), TOBN(0x0a624fa9, 0x36c83906), - TOBN(0x6b20afec, 0x715af2c7), TOBN(0x4b969974, 0xeba78bfd), - TOBN(0x220755cc, 0xd921d60e), TOBN(0x9b944e10, 0x7baeca13), - TOBN(0x04819d51, 0x5ded93d4), TOBN(0x9bbff86e, 0x6dddfd27), - TOBN(0x6b344130, 0x77adc612), TOBN(0xa7496529, 0xbbd803a0), - TOBN(0x1a1baaa7, 0x6d8805bd), TOBN(0xc8403902, 0x470343ad), - TOBN(0x39f59f66, 0x175adff1), TOBN(0x0b26d7fb, 0xb7d8c5b7), - TOBN(0xa875f5ce, 0x529d75e3), TOBN(0x85efc7e9, 0x41325cc2), - TOBN(0x21950b42, 0x1ff6acd3), TOBN(0xffe70484, 0x53dc6909), - TOBN(0xff4cd0b2, 0x28766127), TOBN(0xabdbe608, 0x4fb7db2b), - TOBN(0x837c9228, 0x5e1109e8), TOBN(0x26147d27, 0xf4645b5a), - TOBN(0x4d78f592, 0xf7818ed8), TOBN(0xd394077e, 0xf247fa36), - TOBN(0x0fb9c2d0, 0x488c171a), TOBN(0xa78bfbaa, 0x13685278), - TOBN(0xedfbe268, 0xd5b1fa6a), TOBN(0x0dceb8db, 0x2b7eaba7), - TOBN(0xbf9e8089, 0x9ae2b710), TOBN(0xefde7ae6, 0xa4449c96), - TOBN(0x43b7716b, 0xcc143a46), TOBN(0xd7d34194, 0xc3628c13), - TOBN(0x508cec1c, 0x3b3f64c9), TOBN(0xe20bc0ba, 0x1e5edf3f), - TOBN(0xda1deb85, 0x2f4318d4), TOBN(0xd20ebe0d, 0x5c3fa443), - TOBN(0x370b4ea7, 0x73241ea3), TOBN(0x61f1511c, 0x5e1a5f65), - TOBN(0x99a5e23d, 0x82681c62), TOBN(0xd731e383, 0xa2f54c2d), - TOBN(0x2692f36e, 0x83445904), TOBN(0x2e0ec469, 0xaf45f9c0), - TOBN(0x905a3201, 0xc67528b7), TOBN(0x88f77f34, 0xd0e5e542), - TOBN(0xf67a8d29, 0x5864687c), TOBN(0x23b92eae, 0x22df3562), - TOBN(0x5c27014b, 0x9bbec39e), TOBN(0x7ef2f226, 0x9c0f0f8d), - TOBN(0x97359638, 0x546c4d8d), TOBN(0x5f9c3fc4, 0x92f24679), - TOBN(0x912e8bed, 0xa8c8acd9), TOBN(0xec3a318d, 0x306634b0), - TOBN(0x80167f41, 0xc31cb264), TOBN(0x3db82f6f, 0x522113f2), - TOBN(0xb155bcd2, 0xdcafe197), TOBN(0xfba1da59, 0x43465283), - TOBN(0xa0425b8e, 0xb212cf53), TOBN(0x4f2e512e, 0xf8557c5f), - TOBN(0xc1286ff9, 0x25c4d56c), TOBN(0xbb8a0fea, 0xee26c851), - TOBN(0xc28f70d2, 0xe7d6107e), TOBN(0x7ee0c444, 0xe76265aa), - TOBN(0x3df277a4, 0x1d1936b1), TOBN(0x1a556e3f, 0xea9595eb), - TOBN(0x258bbbf9, 0xe7305683), TOBN(0x31eea5bf, 0x07ef5be6), - TOBN(0x0deb0e4a, 0x46c814c1), TOBN(0x5cee8449, 0xa7b730dd), - TOBN(0xeab495c5, 0xa0182bde), TOBN(0xee759f87, 0x9e27a6b4), - TOBN(0xc2cf6a68, 0x80e518ca), TOBN(0x25e8013f, 0xf14cf3f4), - TOBN(0x8fc44140, 0x7e8d7a14), TOBN(0xbb1ff3ca, 0x9556f36a), - TOBN(0x6a844385, 0x14600044), TOBN(0xba3f0c4a, 0x7451ae63), - TOBN(0xdfcac25b, 0x1f9af32a), TOBN(0x01e0db86, 0xb1f2214b), - TOBN(0x4e9a5bc2, 0xa4b596ac), TOBN(0x83927681, 0x026c2c08), - TOBN(0x3ec832e7, 0x7acaca28), TOBN(0x1bfeea57, 0xc7385b29), - TOBN(0x068212e3, 0xfd1eaf38), TOBN(0xc1329830, 0x6acf8ccc), - TOBN(0xb909f2db, 0x2aac9e59), TOBN(0x5748060d, 0xb661782a), - TOBN(0xc5ab2632, 0xc79b7a01), TOBN(0xda44c6c6, 0x00017626), - TOBN(0xf26c00e8, 0xa7ea82f0), TOBN(0x99cac80d, 0xe4299aaf), - TOBN(0xd66fe3b6, 0x7ed78be1), TOBN(0x305f725f, 0x648d02cd), - TOBN(0x33ed1bc4, 0x623fb21b), TOBN(0xfa70533e, 0x7a6319ad), - TOBN(0x17ab562d, 0xbe5ffb3e), TOBN(0x06374994, 0x56674741), - TOBN(0x69d44ed6, 0x5c46aa8e), TOBN(0x2100d5d3, 0xa8d063d1), - TOBN(0xcb9727ea, 0xa2d17c36), TOBN(0x4c2bab1b, 0x8add53b7), - TOBN(0xa084e90c, 0x15426704), TOBN(0x778afcd3, 0xa837ebea), - TOBN(0x6651f701, 0x7ce477f8), TOBN(0xa0624998, 0x46fb7a8b), - TOBN(0xdc1e6828, 0xed8a6e19), TOBN(0x33fc2336, 0x4189d9c7), - TOBN(0x026f8fe2, 0x671c39bc), TOBN(0xd40c4ccd, 0xbc6f9915), - TOBN(0xafa135bb, 0xf80e75ca), TOBN(0x12c651a0, 0x22adff2c), - TOBN(0xc40a04bd, 0x4f51ad96), TOBN(0x04820109, 0xbbe4e832), - TOBN(0x3667eb1a, 0x7f4c04cc), TOBN(0x59556621, 0xa9404f84), - TOBN(0x71cdf653, 0x7eceb50a), TOBN(0x994a44a6, 0x9b8335fa), - TOBN(0xd7faf819, 0xdbeb9b69), TOBN(0x473c5680, 0xeed4350d), - TOBN(0xb6658466, 0xda44bba2), TOBN(0x0d1bc780, 0x872bdbf3), - TOBN(0xe535f175, 0xa1962f91), TOBN(0x6ed7e061, 0xed58f5a7), - TOBN(0x177aa4c0, 0x2089a233), TOBN(0x0dbcb03a, 0xe539b413), - TOBN(0xe3dc424e, 0xbb32e38e), TOBN(0x6472e5ef, 0x6806701e), - TOBN(0xdd47ff98, 0x814be9ee), TOBN(0x6b60cfff, 0x35ace009), - TOBN(0xb8d3d931, 0x9ff91fe5), TOBN(0x039c4800, 0xf0518eed), - TOBN(0x95c37632, 0x9182cb26), TOBN(0x0763a434, 0x82fc568d), - TOBN(0x707c04d5, 0x383e76ba), TOBN(0xac98b930, 0x824e8197), - TOBN(0x92bf7c8f, 0x91230de0), TOBN(0x90876a01, 0x40959b70), - TOBN(0xdb6d96f3, 0x05968b80), TOBN(0x380a0913, 0x089f73b9), - TOBN(0x7da70b83, 0xc2c61e01), TOBN(0x95fb8394, 0x569b38c7), - TOBN(0x9a3c6512, 0x80edfe2f), TOBN(0x8f726bb9, 0x8faeaf82), - TOBN(0x8010a4a0, 0x78424bf8), TOBN(0x29672044, 0x0e844970)} - , - {TOBN(0x63c5cb81, 0x7a2ad62a), TOBN(0x7ef2b6b9, 0xac62ff54), - TOBN(0x3749bba4, 0xb3ad9db5), TOBN(0xad311f2c, 0x46d5a617), - TOBN(0xb77a8087, 0xc2ff3b6d), TOBN(0xb46feaf3, 0x367834ff), - TOBN(0xf8aa266d, 0x75d6b138), TOBN(0xfa38d320, 0xec008188), - TOBN(0x486d8ffa, 0x696946fc), TOBN(0x50fbc6d8, 0xb9cba56d), - TOBN(0x7e3d423e, 0x90f35a15), TOBN(0x7c3da195, 0xc0dd962c), - TOBN(0xe673fdb0, 0x3cfd5d8b), TOBN(0x0704b7c2, 0x889dfca5), - TOBN(0xf6ce581f, 0xf52305aa), TOBN(0x399d49eb, 0x914d5e53), - 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TOBN(0x460fd264, 0x0c2d97fd), TOBN(0x3a241426, 0xeb82f4f9), - TOBN(0x17d1df2c, 0x6a8ea820), TOBN(0xb2b50d3b, 0xf22cc254), - TOBN(0x03856cba, 0xb7291426), TOBN(0x87fd26ae, 0x04f5ee39), - TOBN(0x9cb696cc, 0x02bee4ba), TOBN(0x53121804, 0x06820fd6), - TOBN(0xa5dfc269, 0x0212e985), TOBN(0x666f7ffa, 0x160f9a09), - TOBN(0xc503cd33, 0xbccd9617), TOBN(0x365dede4, 0xba7730a3), - TOBN(0x798c6355, 0x5ddb0786), TOBN(0xa6c3200e, 0xfc9cd3bc), - TOBN(0x060ffb2c, 0xe5e35efd), TOBN(0x99a4e25b, 0x5555a1c1), - TOBN(0x11d95375, 0xf70b3751), TOBN(0x0a57354a, 0x160e1bf6), - TOBN(0xecb3ae4b, 0xf8e4b065), TOBN(0x07a834c4, 0x2e53022b), - TOBN(0x1cd300b3, 0x8692ed96), TOBN(0x16a6f792, 0x61ee14ec), - TOBN(0x8f1063c6, 0x6a8649ed), TOBN(0xfbcdfcfe, 0x869f3e14), - TOBN(0x2cfb97c1, 0x00a7b3ec), TOBN(0xcea49b3c, 0x7130c2f1), - TOBN(0x462d044f, 0xe9d96488), TOBN(0x4b53d52e, 0x8182a0c1), - TOBN(0x84b6ddd3, 0x0391e9e9), TOBN(0x80ab7b48, 0xb1741a09), - TOBN(0xec0e15d4, 0x27d3317f), TOBN(0x8dfc1ddb, 0x1a64671e), - TOBN(0x93cc5d5f, 0xd49c5b92), TOBN(0xc995d53d, 0x3674a331), - TOBN(0x302e41ec, 0x090090ae), TOBN(0x2278a0cc, 0xedb06830), - TOBN(0x1d025932, 0xfbc99690), TOBN(0x0c32fbd2, 0xb80d68da), - TOBN(0xd79146da, 0xf341a6c1), TOBN(0xae0ba139, 0x1bef68a0), - TOBN(0xc6b8a563, 0x8d774b3a), TOBN(0x1cf307bd, 0x880ba4d7), - TOBN(0xc033bdc7, 0x19803511), TOBN(0xa9f97b3b, 0x8888c3be), - TOBN(0x3d68aebc, 0x85c6d05e), TOBN(0xc3b88a9d, 0x193919eb), - TOBN(0x2d300748, 0xc48b0ee3), TOBN(0x7506bc7c, 0x07a746c1), - TOBN(0xfc48437c, 0x6e6d57f3), TOBN(0x5bd71587, 0xcfeaa91a), - TOBN(0xa4ed0408, 0xc1bc5225), TOBN(0xd0b946db, 0x2719226d), - TOBN(0x109ecd62, 0x758d2d43), TOBN(0x75c8485a, 0x2751759b), - TOBN(0xb0b75f49, 0x9ce4177a), TOBN(0x4fa61a1e, 0x79c10c3d), - TOBN(0xc062d300, 0xa167fcd7), TOBN(0x4df3874c, 0x750f0fa8), - TOBN(0x29ae2cf9, 0x83dfedc9), TOBN(0xf8437134, 0x8d87631a), - TOBN(0xaf571711, 0x7429c8d2), TOBN(0x18d15867, 0x146d9272), - TOBN(0x83053ecf, 0x69769bb7), TOBN(0xc55eb856, 0xc479ab82), - TOBN(0x5ef7791c, 0x21b0f4b2), TOBN(0xaa5956ba, 0x3d491525), - TOBN(0x407a96c2, 0x9fe20eba), TOBN(0xf27168bb, 0xe52a5ad3), - TOBN(0x43b60ab3, 0xbf1d9d89), TOBN(0xe45c51ef, 0x710e727a), - TOBN(0xdfca5276, 0x099b4221), TOBN(0x8dc6407c, 0x2557a159), - TOBN(0x0ead8335, 0x91035895), TOBN(0x0a9db957, 0x9c55dc32), - TOBN(0xe40736d3, 0xdf61bc76), TOBN(0x13a619c0, 0x3f778cdb), - TOBN(0x6dd921a4, 0xc56ea28f), TOBN(0x76a52433, 0x2fa647b4), - TOBN(0x23591891, 0xac5bdc5d), TOBN(0xff4a1a72, 0xbac7dc01), - TOBN(0x9905e261, 0x62df8453), TOBN(0x3ac045df, 0xe63b265f), - TOBN(0x8a3f341b, 0xad53dba7), TOBN(0x8ec269cc, 0x837b625a), - TOBN(0xd71a2782, 0x3ae31189), TOBN(0x8fb4f9a3, 0x55e96120), - TOBN(0x804af823, 0xff9875cf), TOBN(0x23224f57, 0x5d442a9b), - TOBN(0x1c4d3b9e, 0xecc62679), TOBN(0x91da22fb, 0xa0e7ddb1), - TOBN(0xa370324d, 0x6c04a661), TOBN(0x9710d3b6, 0x5e376d17), - TOBN(0xed8c98f0, 0x3044e357), TOBN(0xc364ebbe, 0x6422701c), - TOBN(0x347f5d51, 0x7733d61c), TOBN(0xd55644b9, 0xcea826c3), - TOBN(0x80c6e0ad, 0x55a25548), TOBN(0x0aa7641d, 0x844220a7), - TOBN(0x1438ec81, 0x31810660), TOBN(0x9dfa6507, 0xde4b4043), - TOBN(0x10b515d8, 0xcc3e0273), TOBN(0x1b6066dd, 0x28d8cfb2), - TOBN(0xd3b04591, 0x9c9efebd), TOBN(0x425d4bdf, 0xa21c1ff4), - TOBN(0x5fe5af19, 0xd57607d3), TOBN(0xbbf773f7, 0x54481084), - TOBN(0x8435bd69, 0x94b03ed1), TOBN(0xd9ad1de3, 0x634cc546), - TOBN(0x2cf423fc, 0x00e420ca), TOBN(0xeed26d80, 0xa03096dd), - TOBN(0xd7f60be7, 0xa4db09d2), TOBN(0xf47f569d, 0x960622f7), - TOBN(0xe5925fd7, 0x7296c729), TOBN(0xeff2db26, 0x26ca2715), - TOBN(0xa6fcd014, 0xb913e759), TOBN(0x53da4786, 0x8ff4de93), - TOBN(0x14616d79, 0xc32068e1), TOBN(0xb187d664, 0xccdf352e), - TOBN(0xf7afb650, 0x1dc90b59), TOBN(0x8170e943, 0x7daa1b26), - TOBN(0xc8e3bdd8, 0x700c0a84), TOBN(0x6e8d345f, 0x6482bdfa), - TOBN(0x84cfbfa1, 0xc5c5ea50), TOBN(0xd3baf14c, 0x67960681), - TOBN(0x26398403, 0x0dd50942), TOBN(0xe4b7839c, 0x4716a663), - TOBN(0xd5f1f794, 0xe7de6dc0), TOBN(0x5cd0f4d4, 0x622aa7ce), - TOBN(0x5295f3f1, 0x59acfeec), TOBN(0x8d933552, 0x953e0607), - TOBN(0xc7db8ec5, 0x776c5722), TOBN(0xdc467e62, 0x2b5f290c), - TOBN(0xd4297e70, 0x4ff425a9), TOBN(0x4be924c1, 0x0cf7bb72), - TOBN(0x0d5dc5ae, 0xa1892131), TOBN(0x8bf8a8e3, 0xa705c992), - TOBN(0x73a0b064, 0x7a305ac5), TOBN(0x00c9ca4e, 0x9a8c77a8), - TOBN(0x5dfee80f, 0x83774bdd), TOBN(0x63131602, 0x85734485), - TOBN(0xa1b524ae, 0x914a69a9), TOBN(0xebc2ffaf, 0xd4e300d7), - TOBN(0x52c93db7, 0x7cfa46a5), TOBN(0x71e6161f, 0x21653b50), - TOBN(0x3574fc57, 0xa4bc580a), TOBN(0xc09015dd, 0xe1bc1253), - TOBN(0x4b7b47b2, 0xd174d7aa), TOBN(0x4072d8e8, 0xf3a15d04), - TOBN(0xeeb7d47f, 0xd6fa07ed), TOBN(0x6f2b9ff9, 0xedbdafb1), - TOBN(0x18c51615, 0x3760fe8a), TOBN(0x7a96e6bf, 0xf06c6c13), - TOBN(0x4d7a0410, 0x0ea2d071), TOBN(0xa1914e9b, 0x0be2a5ce), - TOBN(0x5726e357, 0xd8a3c5cf), TOBN(0x1197ecc3, 0x2abb2b13), - TOBN(0x6c0d7f7f, 0x31ae88dd), TOBN(0x15b20d1a, 0xfdbb3efe), - TOBN(0xcd06aa26, 0x70584039), TOBN(0x2277c969, 0xa7dc9747), - TOBN(0xbca69587, 0x7855d815), TOBN(0x899ea238, 0x5188b32a), - TOBN(0x37d9228b, 0x760c1c9d), TOBN(0xc7efbb11, 0x9b5c18da), - TOBN(0x7f0d1bc8, 0x19f6dbc5), TOBN(0x4875384b, 0x07e6905b), - TOBN(0xc7c50baa, 0x3ba8cd86), TOBN(0xb0ce40fb, 0xc2905de0), - TOBN(0x70840673, 0x7a231952), TOBN(0xa912a262, 0xcf43de26), - TOBN(0x9c38ddcc, 0xeb5b76c1), TOBN(0x746f5285, 0x26fc0ab4), - TOBN(0x52a63a50, 0xd62c269f), TOBN(0x60049c55, 0x99458621), - TOBN(0xe7f48f82, 0x3c2f7c9e), TOBN(0x6bd99043, 0x917d5cf3), - TOBN(0xeb1317a8, 0x8701f469), TOBN(0xbd3fe2ed, 0x9a449fe0), - TOBN(0x421e79ca, 0x12ef3d36), TOBN(0x9ee3c36c, 0x3e7ea5de), - TOBN(0xe48198b5, 0xcdff36f7), TOBN(0xaff4f967, 0xc6b82228), - TOBN(0x15e19dd0, 0xc47adb7e), TOBN(0x45699b23, 0x032e7dfa), - TOBN(0x40680c8b, 0x1fae026a), TOBN(0x5a347a48, 0x550dbf4d), - TOBN(0xe652533b, 0x3cef0d7d), TOBN(0xd94f7b18, 0x2bbb4381), - TOBN(0x838752be, 0x0e80f500), TOBN(0x8e6e2488, 0x9e9c9bfb), - TOBN(0xc9751697, 0x16caca6a), TOBN(0x866c49d8, 0x38531ad9), - TOBN(0xc917e239, 0x7151ade1), TOBN(0x2d016ec1, 0x6037c407), - TOBN(0xa407ccc9, 0x00eac3f9), TOBN(0x835f6280, 0xe2ed4748), - TOBN(0xcc54c347, 0x1cc98e0d), TOBN(0x0e969937, 0xdcb572eb), - TOBN(0x1b16c8e8, 0x8f30c9cb), TOBN(0xa606ae75, 0x373c4661), - TOBN(0x47aa689b, 0x35502cab), TOBN(0xf89014ae, 0x4d9bb64f), - TOBN(0x202f6a9c, 0x31c71f7b), TOBN(0x01f95aa3, 0x296ffe5c), - TOBN(0x5fc06014, 0x53cec3a3), TOBN(0xeb991237, 0x5f498a45), - TOBN(0xae9a935e, 0x5d91ba87), TOBN(0xc6ac6281, 0x0b564a19), - TOBN(0x8a8fe81c, 0x3bd44e69), TOBN(0x7c8b467f, 0x9dd11d45), - TOBN(0xf772251f, 0xea5b8e69), TOBN(0xaeecb3bd, 0xc5b75fbc), - TOBN(0x1aca3331, 0x887ff0e5), TOBN(0xbe5d49ff, 0x19f0a131), - TOBN(0x582c13aa, 0xe5c8646f), TOBN(0xdbaa12e8, 0x20e19980), - TOBN(0x8f40f31a, 0xf7abbd94), TOBN(0x1f13f5a8, 0x1dfc7663), - TOBN(0x5d81f1ee, 0xaceb4fc0), TOBN(0x36256002, 0x5e6f0f42), - TOBN(0x4b67d6d7, 0x751370c8), TOBN(0x2608b698, 0x03e80589), - TOBN(0xcfc0d2fc, 0x05268301), TOBN(0xa6943d39, 0x40309212), - TOBN(0x192a90c2, 0x1fd0e1c2), TOBN(0xb209f113, 0x37f1dc76), - TOBN(0xefcc5e06, 0x97bf1298), TOBN(0xcbdb6730, 0x219d639e), - TOBN(0xd009c116, 0xb81e8c6f), TOBN(0xa3ffdde3, 0x1a7ce2e5), - TOBN(0xc53fbaaa, 0xa914d3ba), TOBN(0x836d500f, 0x88df85ee), - TOBN(0xd98dc71b, 0x66ee0751), TOBN(0x5a3d7005, 0x714516fd), - TOBN(0x21d3634d, 0x39eedbba), TOBN(0x35cd2e68, 0x0455a46d), - TOBN(0xc8cafe65, 0xf9d7eb0c), TOBN(0xbda3ce9e, 0x00cefb3e), - 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TOBN(0x8a7cabf9, 0x842e9f30), TOBN(0xa331d4bf, 0x5eab83af), - TOBN(0xd272cfba, 0x017f2a6a), TOBN(0x27560abc, 0x83aba0e3), - TOBN(0x94b83387, 0x0e3a6b75), TOBN(0x25c6aea2, 0x6b9f50f5), - TOBN(0x803d691d, 0xb5fdf6d0), TOBN(0x03b77509, 0xe6333514), - TOBN(0x36178903, 0x61a341c1), TOBN(0x3604dc60, 0x0cfd6142), - TOBN(0x022295eb, 0x8533316c), TOBN(0x3dbde4ac, 0x44af2922), - TOBN(0x898afc5d, 0x1c7eef69), TOBN(0x58896805, 0xd14f4fa1), - TOBN(0x05002160, 0x203c21ca), TOBN(0x6f0d1f30, 0x40ef730b), - TOBN(0x8e8c44d4, 0x196224f8), TOBN(0x75a4ab95, 0x374d079d), - TOBN(0x79085ecc, 0x7d48f123), TOBN(0x56f04d31, 0x1bf65ad8), - TOBN(0xe220bf1c, 0xbda602b2), TOBN(0x73ee1742, 0xf9612c69), - TOBN(0x76008fc8, 0x084fd06b), TOBN(0x4000ef9f, 0xf11380d1), - TOBN(0x48201b4b, 0x12cfe297), TOBN(0x3eee129c, 0x292f74e5), - TOBN(0xe1fe114e, 0xc9e874e8), TOBN(0x899b055c, 0x92c5fc41), - TOBN(0x4e477a64, 0x3a39c8cf), TOBN(0x82f09efe, 0x78963cc9), - TOBN(0x6fd3fd8f, 0xd333f863), TOBN(0x85132b2a, 0xdc949c63), - TOBN(0x7e06a3ab, 0x516eb17b), TOBN(0x73bec06f, 0xd2c7372b), - TOBN(0xe4f74f55, 0xba896da6), TOBN(0xbb4afef8, 0x8e9eb40f), - TOBN(0x2d75bec8, 0xe61d66b0), TOBN(0x02bda4b4, 0xef29300b), - TOBN(0x8bbaa8de, 0x026baa5a), TOBN(0xff54befd, 0xa07f4440), - TOBN(0xbd9b8b1d, 0xbe7a2af3), TOBN(0xec51caa9, 0x4fb74a72), - TOBN(0xb9937a4b, 0x63879697), TOBN(0x7c9a9d20, 0xec2687d5), - TOBN(0x1773e44f, 0x6ef5f014), TOBN(0x8abcf412, 0xe90c6900), - TOBN(0x387bd022, 0x8142161e), TOBN(0x50393755, 0xfcb6ff2a), - TOBN(0x9813fd56, 0xed6def63), TOBN(0x53cf6482, 0x7d53106c), - TOBN(0x991a35bd, 0x431f7ac1), TOBN(0xf1e274dd, 0x63e65faf), - TOBN(0xf63ffa3c, 0x44cc7880), TOBN(0x411a426b, 0x7c256981), - TOBN(0xb698b9fd, 0x93a420e0), TOBN(0x89fdddc0, 0xae53f8fe), - TOBN(0x766e0722, 0x32398baa), TOBN(0x205fee42, 0x5cfca031), - TOBN(0xa49f5341, 0x7a029cf2), TOBN(0xa88c68b8, 0x4023890d), - TOBN(0xbc275041, 0x7337aaa8), TOBN(0x9ed364ad, 0x0eb384f4), - TOBN(0xe0816f85, 0x29aba92f), TOBN(0x2e9e1941, 0x04e38a88), - TOBN(0x57eef44a, 0x3dafd2d5), TOBN(0x35d1fae5, 0x97ed98d8), - TOBN(0x50628c09, 0x2307f9b1), TOBN(0x09d84aae, 0xd6cba5c6), - TOBN(0x67071bc7, 0x88aaa691), TOBN(0x2dea57a9, 0xafe6cb03), - TOBN(0xdfe11bb4, 0x3d78ac01), TOBN(0x7286418c, 0x7fd7aa51), - TOBN(0xfabf7709, 0x77f7195a), TOBN(0x8ec86167, 0xadeb838f), - TOBN(0xea1285a8, 0xbb4f012d), TOBN(0xd6883503, 0x9a3eab3f), - TOBN(0xee5d24f8, 0x309004c2), TOBN(0xa96e4b76, 0x13ffe95e), - TOBN(0x0cdffe12, 0xbd223ea4), TOBN(0x8f5c2ee5, 0xb6739a53), - TOBN(0x5cb4aaa5, 0xdd968198), TOBN(0xfa131c52, 0x72413a6c), - TOBN(0x53d46a90, 0x9536d903), TOBN(0xb270f0d3, 0x48606d8e), - TOBN(0x518c7564, 0xa053a3bc), TOBN(0x088254b7, 0x1a86caef), - TOBN(0xb3ba8cb4, 0x0ab5efd0), TOBN(0x5c59900e, 0x4605945d), - TOBN(0xecace1dd, 0xa1887395), TOBN(0x40960f36, 0x932a65de), - TOBN(0x9611ff5c, 0x3aa95529), TOBN(0xc58215b0, 0x7c1e5a36), - TOBN(0xd48c9b58, 0xf0e1a524), TOBN(0xb406856b, 0xf590dfb8), - TOBN(0xc7605e04, 0x9cd95662), TOBN(0x0dd036ee, 0xa33ecf82), - TOBN(0xa50171ac, 0xc33156b3), TOBN(0xf09d24ea, 0x4a80172e), - TOBN(0x4e1f72c6, 0x76dc8eef), TOBN(0xe60caadc, 0x5e3d44ee), - TOBN(0x006ef8a6, 0x979b1d8f), TOBN(0x60908a1c, 0x97788d26), - TOBN(0x6e08f95b, 0x266feec0), TOBN(0x618427c2, 0x22e8c94e), - TOBN(0x3d613339, 0x59145a65), TOBN(0xcd9bc368, 0xfa406337), - TOBN(0x82d11be3, 0x2d8a52a0), TOBN(0xf6877b27, 0x97a1c590), - TOBN(0x837a819b, 0xf5cbdb25), TOBN(0x2a4fd1d8, 0xde090249), - TOBN(0x622a7de7, 0x74990e5f), TOBN(0x840fa5a0, 0x7945511b), - TOBN(0x30b974be, 0x6558842d), TOBN(0x70df8c64, 0x17f3d0a6), - TOBN(0x7c803520, 0x7542e46d), TOBN(0x7251fe7f, 0xe4ecc823), - TOBN(0xe59134cb, 0x5e9aac9a), TOBN(0x11bb0934, 0xf0045d71), - TOBN(0x53e5d9b5, 0xdbcb1d4e), TOBN(0x8d97a905, 0x92defc91), - TOBN(0xfe289327, 0x7946d3f9), TOBN(0xe132bd24, 0x07472273), - TOBN(0xeeeb510c, 0x1eb6ae86), TOBN(0x777708c5, 0xf0595067), - TOBN(0x18e2c8cd, 0x1297029e), TOBN(0x2c61095c, 0xbbf9305e), - TOBN(0xe466c258, 0x6b85d6d9), TOBN(0x8ac06c36, 0xda1ea530), - TOBN(0xa365dc39, 0xa1304668), TOBN(0xe4a9c885, 0x07f89606), - TOBN(0x65a4898f, 0xacc7228d), TOBN(0x3e2347ff, 0x84ca8303), - TOBN(0xa5f6fb77, 0xea7d23a3), TOBN(0x2fac257d, 0x672a71cd), - TOBN(0x6908bef8, 0x7e6a44d3), TOBN(0x8ff87566, 0x891d3d7a), - TOBN(0xe58e90b3, 0x6b0cf82e), TOBN(0x6438d246, 0x2615b5e7), - TOBN(0x07b1f8fc, 0x669c145a), TOBN(0xb0d8b2da, 0x36f1e1cb), - TOBN(0x54d5dadb, 0xd9184c4d), TOBN(0x3dbb18d5, 0xf93d9976), - TOBN(0x0a3e0f56, 0xd1147d47), TOBN(0x2afa8c8d, 0xa0a48609), - TOBN(0x275353e8, 0xbc36742c), TOBN(0x898f427e, 0xeea0ed90), - TOBN(0x26f4947e, 0x3e477b00), TOBN(0x8ad8848a, 0x308741e3), - TOBN(0x6c703c38, 0xd74a2a46), TOBN(0x5e3e05a9, 0x9ba17ba2), - TOBN(0xc1fa6f66, 0x4ab9a9e4), TOBN(0x474a2d9a, 0x3841d6ec), - TOBN(0x871239ad, 0x653ae326), TOBN(0x14bcf72a, 0xa74cbb43), - TOBN(0x8737650e, 0x20d4c083), TOBN(0x3df86536, 0x110ed4af), - TOBN(0xd2d86fe7, 0xb53ca555), TOBN(0x688cb00d, 0xabd5d538), - TOBN(0xcf81bda3, 0x1ad38468), TOBN(0x7ccfe3cc, 0xf01167b6), - TOBN(0xcf4f47e0, 0x6c4c1fe6), TOBN(0x557e1f1a, 0x298bbb79), - TOBN(0xf93b974f, 0x30d45a14), TOBN(0x174a1d2d, 0x0baf97c4), - TOBN(0x7a003b30, 0xc51fbf53), TOBN(0xd8940991, 0xee68b225), - TOBN(0x5b0aa7b7, 0x1c0f4173), TOBN(0x975797c9, 0xa20a7153), - TOBN(0x26e08c07, 0xe3533d77), TOBN(0xd7222e6a, 0x2e341c99), - TOBN(0x9d60ec3d, 0x8d2dc4ed), TOBN(0xbdfe0d8f, 0x7c476cf8), - TOBN(0x1fe59ab6, 0x1d056605), TOBN(0xa9ea9df6, 0x86a8551f), - TOBN(0x8489941e, 0x47fb8d8c), TOBN(0xfeb874eb, 0x4a7f1b10), - TOBN(0xfe5fea86, 0x7ee0d98f), TOBN(0x201ad34b, 0xdbf61864), - TOBN(0x45d8fe47, 0x37c031d4), TOBN(0xd5f49fae, 0x795f0822), - TOBN(0xdb0fb291, 0xc7f4a40c), TOBN(0x2e69d9c1, 0x730ddd92), - TOBN(0x754e1054, 0x49d76987), TOBN(0x8a24911d, 0x7662db87), - TOBN(0x61fc1810, 0x60a71676), TOBN(0xe852d1a8, 0xf66a8ad1), - TOBN(0x172bbd65, 0x6417231e), TOBN(0x0d6de7bd, 0x3babb11f), - TOBN(0x6fde6f88, 0xc8e347f8), TOBN(0x1c587547, 0x9bd99cc3), - TOBN(0x78e54ed0, 0x34076950), TOBN(0x97f0f334, 0x796e83ba), - TOBN(0xe4dbe1ce, 0x4924867a), TOBN(0xbd5f51b0, 0x60b84917), - TOBN(0x37530040, 0x3cb09a79), TOBN(0xdb3fe0f8, 0xff1743d8), - TOBN(0xed7894d8, 0x556fa9db), TOBN(0xfa262169, 0x23412fbf), - TOBN(0x563be0db, 0xba7b9291), TOBN(0x6ca8b8c0, 0x0c9fb234), - TOBN(0xed406aa9, 0xbd763802), TOBN(0xc21486a0, 0x65303da1), - TOBN(0x61ae291e, 0xc7e62ec4), TOBN(0x622a0492, 0xdf99333e), - TOBN(0x7fd80c9d, 0xbb7a8ee0), TOBN(0xdc2ed3bc, 0x6c01aedb), - TOBN(0x35c35a12, 0x08be74ec), TOBN(0xd540cb1a, 0x469f671f), - TOBN(0xd16ced4e, 0xcf84f6c7), TOBN(0x8561fb9c, 0x2d090f43), - TOBN(0x7e693d79, 0x6f239db4), TOBN(0xa736f928, 0x77bd0d94), - TOBN(0x07b4d929, 0x2c1950ee), TOBN(0xda177543, 0x56dc11b3), - TOBN(0xa5dfbbaa, 0x7a6a878e), TOBN(0x1c70cb29, 0x4decb08a), - TOBN(0xfba28c8b, 0x6f0f7c50), TOBN(0xa8eba2b8, 0x854dcc6d), - TOBN(0x5ff8e89a, 0x36b78642), TOBN(0x070c1c8e, 0xf6873adf), - TOBN(0xbbd3c371, 0x6484d2e4), TOBN(0xfb78318f, 0x0d414129), - TOBN(0x2621a39c, 0x6ad93b0b), TOBN(0x979d74c2, 0xa9e917f7), - TOBN(0xfc195647, 0x61fb0428), TOBN(0x4d78954a, 0xbee624d4), - TOBN(0xb94896e0, 0xb8ae86fd), TOBN(0x6667ac0c, 0xc91c8b13), - TOBN(0x9f180512, 0x43bcf832), TOBN(0xfbadf8b7, 0xa0010137), - TOBN(0xc69b4089, 0xb3ba8aa7), TOBN(0xfac4bacd, 0xe687ce85), - TOBN(0x9164088d, 0x977eab40), TOBN(0x51f4c5b6, 0x2760b390), - TOBN(0xd238238f, 0x340dd553), TOBN(0x358566c3, 0xdb1d31c9), - TOBN(0x3a5ad69e, 0x5068f5ff), TOBN(0xf31435fc, 0xdaff6b06), - TOBN(0xae549a5b, 0xd6debff0), TOBN(0x59e5f0b7, 0x75e01331), - TOBN(0x5d492fb8, 0x98559acf), TOBN(0x96018c2e, 0x4db79b50), - TOBN(0x55f4a48f, 0x609f66aa), TOBN(0x1943b3af, 0x4900a14f), - TOBN(0xc22496df, 0x15a40d39), TOBN(0xb2a44684, 0x4c20f7c5), - TOBN(0x76a35afa, 0x3b98404c), TOBN(0xbec75725, 0xff5d1b77), - TOBN(0xb67aa163, 0xbea06444), TOBN(0x27e95bb2, 0xf724b6f2), - TOBN(0x3c20e3e9, 0xd238c8ab), TOBN(0x1213754e, 0xddd6ae17), - TOBN(0x8c431020, 0x716e0f74), TOBN(0x6679c82e, 0xffc095c2), - TOBN(0x2eb3adf4, 0xd0ac2932), TOBN(0x2cc970d3, 0x01bb7a76), - TOBN(0x70c71f2f, 0x740f0e66), TOBN(0x545c616b, 0x2b6b23cc), - TOBN(0x4528cfcb, 0xb40a8bd7), TOBN(0xff839633, 0x2ab27722), - TOBN(0x049127d9, 0x025ac99a), TOBN(0xd314d4a0, 0x2b63e33b), - TOBN(0xc8c310e7, 0x28d84519), TOBN(0x0fcb8983, 0xb3bc84ba), - TOBN(0x2cc52261, 0x38634818), TOBN(0x501814f4, 0xb44c2e0b), - TOBN(0xf7e181aa, 0x54dfdba3), TOBN(0xcfd58ff0, 0xe759718c), - TOBN(0xf90cdb14, 0xd3b507a8), TOBN(0x57bd478e, 0xc50bdad8), - TOBN(0x29c197e2, 0x50e5f9aa), TOBN(0x4db6eef8, 0xe40bc855), - TOBN(0x2cc8f21a, 0xd1fc0654), TOBN(0xc71cc963, 0x81269d73), - TOBN(0xecfbb204, 0x077f49f9), TOBN(0xdde92571, 0xca56b793), - TOBN(0x9abed6a3, 0xf97ad8f7), TOBN(0xe6c19d3f, 0x924de3bd), - TOBN(0x8dce92f4, 0xa140a800), TOBN(0x85f44d1e, 0x1337af07), - TOBN(0x5953c08b, 0x09d64c52), TOBN(0xa1b5e49f, 0xf5df9749), - TOBN(0x336a8fb8, 0x52735f7d), TOBN(0xb332b6db, 0x9add676b), - TOBN(0x558b88a0, 0xb4511aa4), TOBN(0x09788752, 0xdbd5cc55), - TOBN(0x16b43b9c, 0xd8cd52bd), TOBN(0x7f0bc5a0, 0xc2a2696b), - TOBN(0x146e12d4, 0xc11f61ef), TOBN(0x9ce10754, 0x3a83e79e), - TOBN(0x08ec73d9, 0x6cbfca15), TOBN(0x09ff29ad, 0x5b49653f), - TOBN(0xe31b72bd, 0xe7da946e), TOBN(0xebf9eb3b, 0xee80a4f2), - TOBN(0xd1aabd08, 0x17598ce4), TOBN(0x18b5fef4, 0x53f37e80), - TOBN(0xd5d5cdd3, 0x5958cd79), TOBN(0x3580a1b5, 0x1d373114), - TOBN(0xa36e4c91, 0xfa935726), TOBN(0xa38c534d, 0xef20d760), - TOBN(0x7088e40a, 0x2ff5845b), TOBN(0xe5bb40bd, 0xbd78177f), - TOBN(0x4f06a7a8, 0x857f9920), TOBN(0xe3cc3e50, 0xe968f05d), - TOBN(0x1d68b7fe, 0xe5682d26), TOBN(0x5206f76f, 0xaec7f87c), - TOBN(0x41110530, 0x041951ab), TOBN(0x58ec52c1, 0xd4b5a71a), - TOBN(0xf3488f99, 0x0f75cf9a), TOBN(0xf411951f, 0xba82d0d5), - TOBN(0x27ee75be, 0x618895ab), TOBN(0xeae060d4, 0x6d8aab14), - TOBN(0x9ae1df73, 0x7fb54dc2), TOBN(0x1f3e391b, 0x25963649), - TOBN(0x242ec32a, 0xfe055081), TOBN(0x5bd450ef, 0x8491c9bd), - TOBN(0x367efc67, 0x981eb389), TOBN(0xed7e1928, 0x3a0550d5), - TOBN(0x362e776b, 0xab3ce75c), TOBN(0xe890e308, 0x1f24c523), - TOBN(0xb961b682, 0xfeccef76), TOBN(0x8b8e11f5, 0x8bba6d92), - TOBN(0x8f2ccc4c, 0x2b2375c4), TOBN(0x0d7f7a52, 0xe2f86cfa), - TOBN(0xfd94d30a, 0x9efe5633), TOBN(0x2d8d246b, 0x5451f934), - TOBN(0x2234c6e3, 0x244e6a00), TOBN(0xde2b5b0d, 0xddec8c50), - TOBN(0x2ce53c5a, 0xbf776f5b), TOBN(0x6f724071, 0x60357b05), - TOBN(0xb2593717, 0x71bf3f7a), TOBN(0x87d2501c, 0x440c4a9f), - TOBN(0x440552e1, 0x87b05340), TOBN(0xb7bf7cc8, 0x21624c32), - TOBN(0x4155a6ce, 0x22facddb), TOBN(0x5a4228cb, 0x889837ef), - TOBN(0xef87d6d6, 0xfd4fd671), TOBN(0xa233687e, 0xc2daa10e), - TOBN(0x75622244, 0x03c0eb96), TOBN(0x7632d184, 0x8bf19be6), - TOBN(0x05d0f8e9, 0x40735ff4), TOBN(0x3a3e6e13, 0xc00931f1), - TOBN(0x31ccde6a, 0xdafe3f18), TOBN(0xf381366a, 0xcfe51207), - TOBN(0x24c222a9, 0x60167d92), TOBN(0x62f9d6f8, 0x7529f18c), - TOBN(0x412397c0, 0x0353b114), TOBN(0x334d89dc, 0xef808043), - TOBN(0xd9ec63ba, 0x2a4383ce), TOBN(0xcec8e937, 0x5cf92ba0), - TOBN(0xfb8b4288, 0xc8be74c0), TOBN(0x67d6912f, 0x105d4391), - TOBN(0x7b996c46, 0x1b913149), TOBN(0x36aae2ef, 0x3a4e02da), - TOBN(0xb68aa003, 0x972de594), TOBN(0x284ec70d, 0x4ec6d545), - TOBN(0xf3d2b2d0, 0x61391d54), TOBN(0x69c5d5d6, 0xfe114e92), - TOBN(0xbe0f00b5, 0xb4482dff), TOBN(0xe1596fa5, 0xf5bf33c5), - TOBN(0x10595b56, 0x96a71cba), TOBN(0x944938b2, 0xfdcadeb7), - TOBN(0xa282da4c, 0xfccd8471), TOBN(0x98ec05f3, 0x0d37bfe1), - TOBN(0xe171ce1b, 0x0698304a), TOBN(0x2d691444, 0x21bdf79b), - TOBN(0xd0cd3b74, 0x1b21dec1), TOBN(0x712ecd8b, 0x16a15f71), - TOBN(0x8d4c00a7, 0x00fd56e1), TOBN(0x02ec9692, 0xf9527c18), - TOBN(0x21c44937, 0x4a3e42e1), TOBN(0x9176fbab, 0x1392ae0a), - TOBN(0x8726f1ba, 0x44b7b618), TOBN(0xb4d7aae9, 0xf1de491c), - TOBN(0xf91df7b9, 0x07b582c0), TOBN(0x7e116c30, 0xef60aa3a), - TOBN(0x99270f81, 0x466265d7), TOBN(0xb15b6fe2, 0x4df7adf0), - TOBN(0xfe33b2d3, 0xf9738f7f), TOBN(0x48553ab9, 0xd6d70f95), - TOBN(0x2cc72ac8, 0xc21e94db), TOBN(0x795ac38d, 0xbdc0bbee), - TOBN(0x0a1be449, 0x2e40478f), TOBN(0x81bd3394, 0x052bde55), - TOBN(0x63c8dbe9, 0x56b3c4f2), TOBN(0x017a99cf, 0x904177cc), - TOBN(0x947bbddb, 0x4d010fc1), TOBN(0xacf9b00b, 0xbb2c9b21), - TOBN(0x2970bc8d, 0x47173611), TOBN(0x1a4cbe08, 0xac7d756f), - TOBN(0x06d9f4aa, 0x67d541a2), TOBN(0xa3e8b689, 0x59c2cf44), - TOBN(0xaad066da, 0x4d88f1dd), TOBN(0xc604f165, 0x7ad35dea), - TOBN(0x7edc0720, 0x4478ca67), TOBN(0xa10dfae0, 0xba02ce06), - TOBN(0xeceb1c76, 0xaf36f4e4), TOBN(0x994b2292, 0xaf3f8f48), - TOBN(0xbf9ed77b, 0x77c8a68c), TOBN(0x74f544ea, 0x51744c9d), - TOBN(0x82d05bb9, 0x8113a757), TOBN(0x4ef2d2b4, 0x8a9885e4), - TOBN(0x1e332be5, 0x1aa7865f), TOBN(0x22b76b18, 0x290d1a52), - TOBN(0x308a2310, 0x44351683), TOBN(0x9d861896, 0xa3f22840), - TOBN(0x5959ddcd, 0x841ed947), TOBN(0x0def0c94, 0x154b73bf), - 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TOBN(0xeba11f4f, 0xe1250603), TOBN(0x8a22cd41, 0x243fa156), - TOBN(0xa4e58df4, 0xb283e4c6), TOBN(0x78c29859, 0x8b39783f), - TOBN(0x5235aee2, 0xa5259809), TOBN(0xc16284b5, 0x0e0227dd), - TOBN(0xa5f57916, 0x1338830d), TOBN(0x6d4b8a6b, 0xd2123fca), - TOBN(0x236ea68a, 0xf9c546f8), TOBN(0xc1d36873, 0xfa608d36), - TOBN(0xcd76e495, 0x8d436d13), TOBN(0xd4d9c221, 0x8fb080af), - TOBN(0x665c1728, 0xe8ad3fb5), TOBN(0xcf1ebe4d, 0xb3d572e0), - TOBN(0xa7a8746a, 0x584c5e20), TOBN(0x267e4ea1, 0xb9dc7035), - TOBN(0x593a15cf, 0xb9548c9b), TOBN(0x5e6e2135, 0x4bd012f3), - TOBN(0xdf31cc6a, 0x8c8f936e), TOBN(0x8af84d04, 0xb5c241dc), - TOBN(0x63990a6f, 0x345efb86), TOBN(0x6fef4e61, 0xb9b962cb)} - , - {TOBN(0xf6368f09, 0x25722608), TOBN(0x131260db, 0x131cf5c6), - TOBN(0x40eb353b, 0xfab4f7ac), TOBN(0x85c78880, 0x37eee829), - TOBN(0x4c1581ff, 0xc3bdf24e), TOBN(0x5bff75cb, 0xf5c3c5a8), - TOBN(0x35e8c83f, 0xa14e6f40), TOBN(0xb81d1c0f, 0x0295e0ca), - TOBN(0xfcde7cc8, 0xf43a730f), TOBN(0xe89b6f3c, 0x33ab590e), - TOBN(0xc823f529, 0xad03240b), TOBN(0x82b79afe, 0x98bea5db), - 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TOBN(0x5251d759, 0x56766f45), TOBN(0x4984d8c0, 0x2be8d0fc), - TOBN(0x7ecc95a6, 0xd21008f0), TOBN(0x29bd54a0, 0x3a1a1c49), - TOBN(0xab9828c5, 0xd26c50f3), TOBN(0x32c0087c, 0x51d0d251), - TOBN(0x9bac3ce6, 0x0c1cdb26), TOBN(0xcd94d947, 0x557ca205), - TOBN(0x1b1bd598, 0x9db1fdcd), TOBN(0x0eda0108, 0xa3d8b149), - TOBN(0x95066610, 0x56152fcc), TOBN(0xc2f037e6, 0xe7192b33), - TOBN(0xdeffb41a, 0xc92e05a4), TOBN(0x1105f6c2, 0xc2f6c62e), - TOBN(0x68e73500, 0x8733913c), TOBN(0xcce86163, 0x3f3adc40), - TOBN(0xf407a942, 0x38a278e9), TOBN(0xd13c1b9d, 0x2ab21292), - TOBN(0x93ed7ec7, 0x1c74cf5c), TOBN(0x8887dc48, 0xf1a4c1b4), - TOBN(0x3830ff30, 0x4b3a11f1), TOBN(0x358c5a3c, 0x58937cb6), - TOBN(0x027dc404, 0x89022829), TOBN(0x40e93977, 0x3b798f79), - TOBN(0x90ad3337, 0x38be6ead), TOBN(0x9c23f6bc, 0xf34c0a5d), - TOBN(0xd1711a35, 0xfbffd8bb), TOBN(0x60fcfb49, 0x1949d3dd), - TOBN(0x09c8ef4b, 0x7825d93a), TOBN(0x24233cff, 0xa0a8c968), - TOBN(0x67ade46c, 0xe6d982af), TOBN(0xebb6bf3e, 0xe7544d7c), - TOBN(0xd6b9ba76, 0x3d8bd087), TOBN(0x46fe382d, 0x4dc61280), - TOBN(0xbd39a7e8, 0xb5bdbd75), TOBN(0xab381331, 0xb8f228fe), - TOBN(0x0709a77c, 0xce1c4300), TOBN(0x6a247e56, 0xf337ceac), - TOBN(0x8f34f21b, 0x636288be), TOBN(0x9dfdca74, 0xc8a7c305), - TOBN(0x6decfd1b, 0xea919e04), TOBN(0xcdf2688d, 0x8e1991f8), - TOBN(0xe607df44, 0xd0f8a67e), TOBN(0xd985df4b, 0x0b58d010), - TOBN(0x57f834c5, 0x0c24f8f4), TOBN(0xe976ef56, 0xa0bf01ae), - TOBN(0x536395ac, 0xa1c32373), TOBN(0x351027aa, 0x734c0a13), - TOBN(0xd2f1b5d6, 0x5e6bd5bc), TOBN(0x2b539e24, 0x223debed), - TOBN(0xd4994cec, 0x0eaa1d71), TOBN(0x2a83381d, 0x661dcf65), - TOBN(0x5f1aed2f, 0x7b54c740), TOBN(0x0bea3fa5, 0xd6dda5ee), - TOBN(0x9d4fb684, 0x36cc6134), TOBN(0x8eb9bbf3, 0xc0a443dd), - TOBN(0xfc500e2e, 0x383b7d2a), TOBN(0x7aad621c, 0x5b775257), - TOBN(0x69284d74, 0x0a8f7cc0), TOBN(0xe820c2ce, 0x07562d65), - TOBN(0xbf9531b9, 0x499758ee), TOBN(0x73e95ca5, 0x6ee0cc2d), - TOBN(0xf61790ab, 0xfbaf50a5), TOBN(0xdf55e76b, 0x684e0750), - TOBN(0xec516da7, 0xf176b005), TOBN(0x575553bb, 0x7a2dddc7), - TOBN(0x37c87ca3, 0x553afa73), TOBN(0x315f3ffc, 0x4d55c251), - TOBN(0xe846442a, 0xaf3e5d35), TOBN(0x61b91149, 0x6495ff28), - TOBN(0x23cc95d3, 0xfa326dc3), TOBN(0x1df4da1f, 0x18fc2cea), - TOBN(0x24bf9adc, 0xd0a37d59), TOBN(0xb6710053, 0x320d6e1e), - TOBN(0x96f9667e, 0x618344d1), TOBN(0xcc7ce042, 0xa06445af), - TOBN(0xa02d8514, 0xd68dbc3a), TOBN(0x4ea109e4, 0x280b5a5b), - TOBN(0x5741a7ac, 0xb40961bf), TOBN(0x4ada5937, 0x6aa56bfa), - TOBN(0x7feb9145, 0x02b765d1), TOBN(0x561e97be, 0xe6ad1582), - TOBN(0xbbc4a5b6, 0xda3982f5), TOBN(0x0c2659ed, 0xb546f468), - TOBN(0xb8e7e6aa, 0x59612d20), TOBN(0xd83dfe20, 0xac19e8e0), - TOBN(0x8530c45f, 0xb835398c), TOBN(0x6106a8bf, 0xb38a41c2), - TOBN(0x21e8f9a6, 0x35f5dcdb), TOBN(0x39707137, 0xcae498ed), - TOBN(0x70c23834, 0xd8249f00), TOBN(0x9f14b58f, 0xab2537a0), - TOBN(0xd043c365, 0x5f61c0c2), TOBN(0xdc5926d6, 0x09a194a7), - TOBN(0xddec0339, 0x8e77738a), TOBN(0xd07a63ef, 0xfba46426), - TOBN(0x2e58e79c, 0xee7f6e86), TOBN(0xe59b0459, 0xff32d241), - TOBN(0xc5ec84e5, 0x20fa0338), TOBN(0x97939ac8, 0xeaff5ace), - TOBN(0x0310a4e3, 0xb4a38313), TOBN(0x9115fba2, 0x8f9d9885), - TOBN(0x8dd710c2, 0x5fadf8c3), TOBN(0x66be38a2, 0xce19c0e2), - TOBN(0xd42a279c, 0x4cfe5022), TOBN(0x597bb530, 0x0e24e1b8), - TOBN(0x3cde86b7, 0xc153ca7f), TOBN(0xa8d30fb3, 0x707d63bd), - TOBN(0xac905f92, 0xbd60d21e), TOBN(0x98e7ffb6, 0x7b9a54ab), - TOBN(0xd7147df8, 0xe9726a30), TOBN(0xb5e216ff, 0xafce3533), - TOBN(0xb550b799, 0x2ff1ec40), TOBN(0x6b613b87, 0xa1e953fd), - TOBN(0x87b88dba, 0x792d5610), TOBN(0x2ee1270a, 0xa190fbe1), - TOBN(0x02f4e2dc, 0x2ef581da), TOBN(0x016530e4, 0xeff82a95), - TOBN(0xcbb93dfd, 0x8fd6ee89), TOBN(0x16d3d986, 0x46848fff), - TOBN(0x600eff24, 0x1da47adf), TOBN(0x1b9754a0, 0x0ad47a71), - TOBN(0x8f9266df, 0x70c33b98), TOBN(0xaadc87ae, 0xdf34186e), - TOBN(0x0d2ce8e1, 0x4ad24132), TOBN(0x8a47cbfc, 0x19946eba), - TOBN(0x47feeb66, 0x62b5f3af), TOBN(0xcefab561, 0x0abb3734), - TOBN(0x449de60e, 0x19f35cb1), TOBN(0x39f8db14, 0x157f0eb9), - TOBN(0xffaecc5b, 0x3c61bfd6), TOBN(0xa5a4d41d, 0x41216703), - TOBN(0x7f8fabed, 0x224e1cc2), TOBN(0x0d5a8186, 0x871ad953), - TOBN(0xf10774f7, 0xd22da9a9), TOBN(0x45b8a678, 0xcc8a9b0d), - TOBN(0xd9c2e722, 0xbdc32cff), TOBN(0xbf71b5f5, 0x337202a5), - TOBN(0x95c57f2f, 0x69fc4db9), TOBN(0xb6dad34c, 0x765d01e1), - TOBN(0x7e0bd13f, 0xcb904635), TOBN(0x61751253, 0x763a588c), - TOBN(0xd85c2997, 0x81af2c2d), TOBN(0xc0f7d9c4, 0x81b9d7da), - TOBN(0x838a34ae, 0x08533e8d), TOBN(0x15c4cb08, 0x311d8311), - TOBN(0x97f83285, 0x8e121e14), TOBN(0xeea7dc1e, 0x85000a5f), - TOBN(0x0c6059b6, 0x5d256274), TOBN(0xec9beace, 0xb95075c0), - TOBN(0x173daad7, 0x1df97828), TOBN(0xbf851cb5, 0xa8937877), - TOBN(0xb083c594, 0x01646f3c), TOBN(0x3bad30cf, 0x50c6d352), - TOBN(0xfeb2b202, 0x496bbcea), TOBN(0x3cf9fd4f, 0x18a1e8ba), - TOBN(0xd26de7ff, 0x1c066029), TOBN(0x39c81e9e, 0x4e9ed4f8), - TOBN(0xd8be0cb9, 0x7b390d35), TOBN(0x01df2bbd, 0x964aab27), - TOBN(0x3e8c1a65, 0xc3ef64f8), TOBN(0x567291d1, 0x716ed1dd), - TOBN(0x95499c6c, 0x5f5406d3), TOBN(0x71fdda39, 0x5ba8e23f), - TOBN(0xcfeb320e, 0xd5096ece), TOBN(0xbe7ba92b, 0xca66dd16), - TOBN(0x4608d36b, 0xc6fb5a7d), TOBN(0xe3eea15a, 0x6d2dd0e0), - TOBN(0x75b0a3eb, 0x8f97a36a), TOBN(0xf59814cc, 0x1c83de1e), - TOBN(0x56c9c5b0, 0x1c33c23f), TOBN(0xa96c1da4, 0x6faa4136), - TOBN(0x46bf2074, 0xde316551), TOBN(0x3b866e7b, 0x1f756c8f), - TOBN(0x727727d8, 0x1495ed6b), TOBN(0xb2394243, 0xb682dce7), - TOBN(0x8ab8454e, 0x758610f3), TOBN(0xc243ce84, 0x857d72a4), - TOBN(0x7b320d71, 0xdbbf370f), TOBN(0xff9afa37, 0x78e0f7ca), - TOBN(0x0119d1e0, 0xea7b523f), TOBN(0xb997f8cb, 0x058c7d42), - TOBN(0x285bcd2a, 0x37bbb184), TOBN(0x51dcec49, 0xa45d1fa6), - TOBN(0x6ade3b64, 0xe29634cb), TOBN(0x080c94a7, 0x26b86ef1), - TOBN(0xba583db1, 0x2283fbe3), TOBN(0x902bddc8, 0x5a9315ed), - TOBN(0x07c1ccb3, 0x86964bec), TOBN(0x78f4eacf, 0xb6258301), - TOBN(0x4bdf3a49, 0x56f90823), TOBN(0xba0f5080, 0x741d777b), - TOBN(0x091d71c3, 0xf38bf760), TOBN(0x9633d50f, 0x9b625b02), - TOBN(0x03ecb743, 0xb8c9de61), TOBN(0xb4751254, 0x5de74720), - TOBN(0x9f9defc9, 0x74ce1cb2), TOBN(0x774a4f6a, 0x00bd32ef), - TOBN(0xaca385f7, 0x73848f22), TOBN(0x53dad716, 0xf3f8558e), - TOBN(0xab7b34b0, 0x93c471f9), TOBN(0xf530e069, 0x19644bc7), - TOBN(0x3d9fb1ff, 0xdd59d31a), TOBN(0x4382e0df, 0x08daa795), - TOBN(0x165c6f4b, 0xd5cc88d7), TOBN(0xeaa392d5, 0x4a18c900), - TOBN(0x94203c67, 0x648024ee), TOBN(0x188763f2, 0x8c2fabcd), - TOBN(0xa80f87ac, 0xbbaec835), TOBN(0x632c96e0, 0xf29d8d54), - TOBN(0x29b0a60e, 0x4c00a95e), TOBN(0x2ef17f40, 0xe011e9fa), - TOBN(0xf6c0e1d1, 0x15b77223), TOBN(0xaaec2c62, 0x14b04e32), - TOBN(0xd35688d8, 0x3d84e58c), TOBN(0x2af5094c, 0x958571db), - TOBN(0x4fff7e19, 0x760682a6), TOBN(0x4cb27077, 0xe39a407c), - TOBN(0x0f59c547, 0x4ff0e321), TOBN(0x169f34a6, 0x1b34c8ff), - TOBN(0x2bff1096, 0x52bc1ba7), TOBN(0xa25423b7, 0x83583544), - TOBN(0x5d55d5d5, 0x0ac8b782), TOBN(0xff6622ec, 0x2db3c892), - TOBN(0x48fce741, 0x6b8bb642), TOBN(0x31d6998c, 0x69d7e3dc), - TOBN(0xdbaf8004, 0xcadcaed0), TOBN(0x801b0142, 0xd81d053c), - TOBN(0x94b189fc, 0x59630ec6), TOBN(0x120e9934, 0xaf762c8e), - TOBN(0x53a29aa4, 0xfdc6a404), TOBN(0x19d8e01e, 0xa1909948), - TOBN(0x3cfcabf1, 0xd7e89681), TOBN(0x3321a50d, 0x4e132d37), - TOBN(0xd0496863, 0xe9a86111), TOBN(0x8c0cde61, 0x06a3bc65), - TOBN(0xaf866c49, 0xfc9f8eef), TOBN(0x2066350e, 0xff7f5141), - TOBN(0x4f8a4689, 0xe56ddfbd), TOBN(0xea1b0c07, 0xfe32983a), - TOBN(0x2b317462, 0x873cb8cb), TOBN(0x658deddc, 0x2d93229f), - TOBN(0x65efaf4d, 0x0f64ef58), TOBN(0xfe43287d, 0x730cc7a8), - TOBN(0xaebc0c72, 0x3d047d70), TOBN(0x92efa539, 0xd92d26c9), - TOBN(0x06e78457, 0x94b56526), TOBN(0x415cb80f, 0x0961002d), - TOBN(0x89e5c565, 0x76dcb10f), TOBN(0x8bbb6982, 0xff9259fe), - TOBN(0x4fe8795b, 0x9abc2668), TOBN(0xb5d4f534, 0x1e678fb1), - TOBN(0x6601f3be, 0x7b7da2b9), TOBN(0x98da59e2, 0xa13d6805), - TOBN(0x190d8ea6, 0x01799a52), TOBN(0xa20cec41, 0xb86d2952), - TOBN(0x3062ffb2, 0x7fff2a7c), TOBN(0x741b32e5, 0x79f19d37), - TOBN(0xf80d8181, 0x4eb57d47), TOBN(0x7a2d0ed4, 0x16aef06b), - TOBN(0x09735fb0, 0x1cecb588), TOBN(0x1641caaa, 0xc6061f5b)} - , - {TOBN(0x7f99824f, 0x20151427), TOBN(0x206828b6, 0x92430206), - TOBN(0xaa9097d7, 0xe1112357), TOBN(0xacf9a2f2, 0x09e414ec), - TOBN(0xdbdac9da, 0x27915356), TOBN(0x7e0734b7, 0x001efee3), - TOBN(0x54fab5bb, 0xd2b288e2), TOBN(0x4c630fc4, 0xf62dd09c), - TOBN(0x8537107a, 0x1ac2703b), TOBN(0xb49258d8, 0x6bc857b5), - 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TOBN(0x4cb55131, 0x74a5c8c7), TOBN(0x01cd2970, 0x7f69ad6a), - TOBN(0xa04d00dd, 0xe966f87e), TOBN(0xd96fe447, 0x0b7b0321), - TOBN(0x342ac06e, 0x88fbd381), TOBN(0x02cd4a84, 0x5c35a493), - TOBN(0xe8fa89de, 0x54f1bbcd), TOBN(0x341d6367, 0x2575ed4c), - TOBN(0xebe357fb, 0xd238202b), TOBN(0x600b4d1a, 0xa984ead9), - TOBN(0xc35c9f44, 0x52436ea0), TOBN(0x96fe0a39, 0xa370751b), - TOBN(0x4c4f0736, 0x7f636a38), TOBN(0x9f943fb7, 0x0e76d5cb), - TOBN(0xb03510ba, 0xa8b68b8b), TOBN(0xc246780a, 0x9ed07a1f), - TOBN(0x3c051415, 0x6d549fc2), TOBN(0xc2953f31, 0x607781ca), - TOBN(0x955e2c69, 0xd8d95413), TOBN(0xb300fadc, 0x7bd282e3), - TOBN(0x81fe7b50, 0x87e9189f), TOBN(0xdb17375c, 0xf42dda27), - TOBN(0x22f7d896, 0xcf0a5904), TOBN(0xa0e57c5a, 0xebe348e6), - TOBN(0xa61011d3, 0xf40e3c80), TOBN(0xb1189321, 0x8db705c5), - TOBN(0x4ed9309e, 0x50fedec3), TOBN(0xdcf14a10, 0x4d6d5c1d), - TOBN(0x056c265b, 0x55691342), TOBN(0xe8e08504, 0x91049dc7), - TOBN(0x131329f5, 0xc9bae20a), TOBN(0x96c8b3e8, 0xd9dccdb4), - TOBN(0x8c5ff838, 0xfb4ee6b4), TOBN(0xfc5a9aeb, 0x41e8ccf0), - TOBN(0x7417b764, 0xfae050c6), TOBN(0x0953c3d7, 0x00452080), - TOBN(0x21372682, 0x38dfe7e8), TOBN(0xea417e15, 0x2bb79d4b), - TOBN(0x59641f1c, 0x76e7cf2d), TOBN(0x271e3059, 0xea0bcfcc), - TOBN(0x624c7dfd, 0x7253ecbd), TOBN(0x2f552e25, 0x4fca6186), - TOBN(0xcbf84ecd, 0x4d866e9c), TOBN(0x73967709, 0xf68d4610), - TOBN(0xa14b1163, 0xc27901b4), TOBN(0xfd9236e0, 0x899b8bf3), - TOBN(0x42b091ec, 0xcbc6da0a), TOBN(0xbb1dac6f, 0x5ad1d297), - TOBN(0x80e61d53, 0xa91cf76e), TOBN(0x4110a412, 0xd31f1ee7), - TOBN(0x2d87c3ba, 0x13efcf77), TOBN(0x1f374bb4, 0xdf450d76), - TOBN(0x5e78e2f2, 0x0d188dab), TOBN(0xe3968ed0, 0xf4b885ef), - TOBN(0x46c0568e, 0x7314570f), TOBN(0x31616338, 0x01170521), - TOBN(0x18e1e7e2, 0x4f0c8afe), TOBN(0x4caa75ff, 0xdeea78da), - TOBN(0x82db67f2, 0x7c5d8a51), TOBN(0x36a44d86, 0x6f505370), - TOBN(0xd72c5bda, 0x0333974f), TOBN(0x5db516ae, 0x27a70146), - TOBN(0x34705281, 0x210ef921), TOBN(0xbff17a8f, 0x0c9c38e5), - TOBN(0x78f4814e, 0x12476da1), TOBN(0xc1e16613, 0x33c16980), - TOBN(0x9e5b386f, 0x424d4bca), TOBN(0x4c274e87, 0xc85740de), - TOBN(0xb6a9b88d, 0x6c2f5226), TOBN(0x14d1b944, 0x550d7ca8), - TOBN(0x580c85fc, 0x1fc41709), TOBN(0xc1da368b, 0x54c6d519), - TOBN(0x2b0785ce, 0xd5113cf7), TOBN(0x0670f633, 0x5a34708f), - TOBN(0x46e23767, 0x15cc3f88), TOBN(0x1b480cfa, 0x50c72c8f), - TOBN(0x20288602, 0x4147519a), TOBN(0xd0981eac, 0x26b372f0), - TOBN(0xa9d4a7ca, 0xa785ebc8), TOBN(0xd953c50d, 0xdbdf58e9), - TOBN(0x9d6361cc, 0xfd590f8f), TOBN(0x72e9626b, 0x44e6c917), - TOBN(0x7fd96110, 0x22eb64cf), TOBN(0x863ebb7e, 0x9eb288f3), - TOBN(0x6e6ab761, 0x6aca8ee7), TOBN(0x97d10b39, 0xd7b40358), - TOBN(0x1687d377, 0x1e5feb0d), TOBN(0xc83e50e4, 0x8265a27a), - TOBN(0x8f75a9fe, 0xc954b313), TOBN(0xcc2e8f47, 0x310d1f61), - TOBN(0xf5ba81c5, 0x6557d0e0), TOBN(0x25f9680c, 0x3eaf6207), - TOBN(0xf95c6609, 0x4354080b), TOBN(0x5225bfa5, 0x7bf2fe1c), - TOBN(0xc5c004e2, 0x5c7d98fa), TOBN(0x3561bf1c, 0x019aaf60), - TOBN(0x5e6f9f17, 0xba151474), TOBN(0xdec2f934, 0xb04f6eca), - TOBN(0x64e368a1, 0x269acb1e), TOBN(0x1332d9e4, 0x0cdda493), - TOBN(0x60d6cf69, 0xdf23de05), TOBN(0x66d17da2, 0x009339a0), - TOBN(0x9fcac985, 0x0a693923), TOBN(0xbcf057fc, 0xed7c6a6d), - TOBN(0xc3c5c8c5, 0xf0b5662c), TOBN(0x25318dd8, 0xdcba4f24), - TOBN(0x60e8cb75, 0x082b69ff), TOBN(0x7c23b3ee, 0x1e728c01), - TOBN(0x15e10a0a, 0x097e4403), TOBN(0xcb3d0a86, 0x19854665), - TOBN(0x88d8e211, 0xd67d4826), TOBN(0xb39af66e, 0x0b9d2839), - TOBN(0xa5f94588, 0xbd475ca8), TOBN(0xe06b7966, 0xc077b80b), - TOBN(0xfedb1485, 0xda27c26c), TOBN(0xd290d33a, 0xfe0fd5e0), - TOBN(0xa40bcc47, 0xf34fb0fa), TOBN(0xb4760cc8, 0x1fb1ab09), - TOBN(0x8fca0993, 0xa273bfe3), TOBN(0x13e4fe07, 0xf70b213c), - TOBN(0x3bcdb992, 0xfdb05163), TOBN(0x8c484b11, 0x0c2b19b6), - TOBN(0x1acb815f, 0xaaf2e3e2), TOBN(0xc6905935, 0xb89ff1b4), - TOBN(0xb2ad6f9d, 0x586e74e1), TOBN(0x488883ad, 0x67b80484), - TOBN(0x758aa2c7, 0x369c3ddb), TOBN(0x8ab74e69, 0x9f9afd31), - TOBN(0x10fc2d28, 0x5e21beb1), TOBN(0x3484518a, 0x318c42f9), - TOBN(0x377427dc, 0x53cf40c3), TOBN(0x9de0781a, 0x391bc1d9), - TOBN(0x8faee858, 0x693807e1), TOBN(0xa3865327, 0x4e81ccc7), - TOBN(0x02c30ff2, 0x6f835b84), TOBN(0xb604437b, 0x0d3d38d4), - TOBN(0xb3fc8a98, 0x5ca1823d), TOBN(0xb82f7ec9, 0x03be0324), - TOBN(0xee36d761, 0xcf684a33), TOBN(0x5a01df0e, 0x9f29bf7d), - TOBN(0x686202f3, 0x1306583d), TOBN(0x05b10da0, 0x437c622e), - TOBN(0xbf9aaa0f, 0x076a7bc8), TOBN(0x25e94efb, 0x8f8f4e43), - TOBN(0x8a35c9b7, 0xfa3dc26d), TOBN(0xe0e5fb93, 0x96ff03c5), - TOBN(0xa77e3843, 0xebc394ce), TOBN(0xcede6595, 0x8361de60), - TOBN(0xd27c22f6, 0xa1993545), TOBN(0xab01cc36, 0x24d671ba), - TOBN(0x63fa2877, 0xa169c28e), TOBN(0x925ef904, 0x2eb08376), - TOBN(0x3b2fa3cf, 0x53aa0b32), TOBN(0xb27beb5b, 0x71c49d7a), - TOBN(0xb60e1834, 0xd105e27f), TOBN(0xd6089788, 0x4f68570d), - TOBN(0x23094ce0, 0xd6fbc2ac), TOBN(0x738037a1, 0x815ff551), - TOBN(0xda73b1bb, 0x6bef119c), TOBN(0xdcf6c430, 0xeef506ba), - TOBN(0x00e4fe7b, 0xe3ef104a), TOBN(0xebdd9a2c, 0x0a065628), - TOBN(0x853a81c3, 0x8792043e), TOBN(0x22ad6ece, 0xb3b59108), - TOBN(0x9fb813c0, 0x39cd297d), TOBN(0x8ec7e16e, 0x05bda5d9), - TOBN(0x2834797c, 0x0d104b96), TOBN(0xcc11a2e7, 0x7c511510), - TOBN(0x96ca5a53, 0x96ee6380), TOBN(0x054c8655, 0xcea38742), - TOBN(0xb5946852, 0xd54dfa7d), TOBN(0x97c422e7, 0x1f4ab207), - TOBN(0xbf907509, 0x0c22b540), TOBN(0x2cde42aa, 0xb7c267d4), - TOBN(0xba18f9ed, 0x5ab0d693), TOBN(0x3ba62aa6, 0x6e4660d9), - TOBN(0xb24bf97b, 0xab9ea96a), TOBN(0x5d039642, 0xe3b60e32), - TOBN(0x4e6a4506, 0x7c4d9bd5), TOBN(0x666c5b9e, 0x7ed4a6a4), - TOBN(0xfa3fdcd9, 0x8edbd7cc), TOBN(0x4660bb87, 0xc6ccd753), - TOBN(0x9ae90820, 0x21e6b64f), TOBN(0x8a56a713, 0xb36bfb3f), - TOBN(0xabfce096, 0x5726d47f), TOBN(0x9eed01b2, 0x0b1a9a7f), - TOBN(0x30e9cad4, 0x4eb74a37), TOBN(0x7b2524cc, 0x53e9666d), - TOBN(0x6a29683b, 0x8f4b002f), TOBN(0xc2200d7a, 0x41f4fc20), - TOBN(0xcf3af47a, 0x3a338acc), TOBN(0x6539a4fb, 0xe7128975), - TOBN(0xcec31c14, 0xc33c7fcf), TOBN(0x7eb6799b, 0xc7be322b), - TOBN(0x119ef4e9, 0x6646f623), TOBN(0x7b7a26a5, 0x54d7299b), - TOBN(0xcb37f08d, 0x403f46f2), TOBN(0x94b8fc43, 0x1a0ec0c7), - TOBN(0xbb8514e3, 0xc332142f), TOBN(0xf3ed2c33, 0xe80d2a7a), - TOBN(0x8d2080af, 0xb639126c), TOBN(0xf7b6be60, 0xe3553ade), - TOBN(0x3950aa9f, 0x1c7e2b09), TOBN(0x847ff958, 0x6410f02b), - TOBN(0x877b7cf5, 0x678a31b0), TOBN(0xd50301ae, 0x3998b620), - TOBN(0x734257c5, 0xc00fb396), TOBN(0xf9fb18a0, 0x04e672a6), - TOBN(0xff8bd8eb, 0xe8758851), TOBN(0x1e64e4c6, 0x5d99ba44), - TOBN(0x4b8eaedf, 0x7dfd93b7), TOBN(0xba2f2a98, 0x04e76b8c), - TOBN(0x7d790cba, 0xe8053433), TOBN(0xc8e725a0, 0x3d2c9585), - TOBN(0x58c5c476, 0xcdd8f5ed), TOBN(0xd106b952, 0xefa9fe1d), - TOBN(0x3c5c775b, 0x0eff13a9), TOBN(0x242442ba, 0xe057b930), - TOBN(0xe9f458d4, 0xc9b70cbd), TOBN(0x69b71448, 0xa3cdb89a), - TOBN(0x41ee46f6, 0x0e2ed742), TOBN(0x573f1045, 0x40067493), - TOBN(0xb1e154ff, 0x9d54c304), TOBN(0x2ad0436a, 0x8d3a7502), - TOBN(0xee4aaa2d, 0x431a8121), TOBN(0xcd38b3ab, 0x886f11ed), - TOBN(0x57d49ea6, 0x034a0eb7), TOBN(0xd2b773bd, 0xf7e85e58), - TOBN(0x4a559ac4, 0x9b5c1f14), TOBN(0xc444be1a, 0x3e54df2b), - TOBN(0x13aad704, 0xeda41891), TOBN(0xcd927bec, 0x5eb5c788), - TOBN(0xeb3c8516, 0xe48c8a34), TOBN(0x1b7ac812, 0x4b546669), - TOBN(0x1815f896, 0x594df8ec), TOBN(0x87c6a79c, 0x79227865), - TOBN(0xae02a2f0, 0x9b56ddbd), TOBN(0x1339b5ac, 0x8a2f1cf3), - TOBN(0xf2b569c7, 0x839dff0d), TOBN(0xb0b9e864, 0xfee9a43d), - TOBN(0x4ff8ca41, 0x77bb064e), TOBN(0x145a2812, 0xfd249f63), - TOBN(0x3ab7beac, 0xf86f689a), TOBN(0x9bafec27, 0x01d35f5e), - TOBN(0x28054c65, 0x4265aa91), TOBN(0xa4b18304, 0x035efe42), - TOBN(0x6887b0e6, 0x9639dec7), TOBN(0xf4b8f6ad, 0x3d52aea5), - TOBN(0xfb9293cc, 0x971a8a13), TOBN(0x3f159e5d, 0x4c934d07), - TOBN(0x2c50e9b1, 0x09acbc29), TOBN(0x08eb65e6, 0x7154d129), - TOBN(0x4feff589, 0x30b75c3e), TOBN(0x0bb82fe2, 0x94491c93), - TOBN(0xd8ac377a, 0x89af62bb), TOBN(0xd7b51490, 0x9685e49f), - TOBN(0xabca9a7b, 0x04497f19), TOBN(0x1b35ed0a, 0x1a7ad13f), - TOBN(0x6b601e21, 0x3ec86ed6), TOBN(0xda91fcb9, 0xce0c76f1), - TOBN(0x9e28507b, 0xd7ab27e1), TOBN(0x7c19a555, 0x63945b7b), - TOBN(0x6b43f0a1, 0xaafc9827), TOBN(0x443b4fbd, 0x3aa55b91), - TOBN(0x962b2e65, 0x6962c88f), TOBN(0x139da8d4, 0xce0db0ca), - TOBN(0xb93f05dd, 0x1b8d6c4f), TOBN(0x779cdff7, 0x180b9824), - TOBN(0xbba23fdd, 0xae57c7b7), TOBN(0x345342f2, 0x1b932522), - TOBN(0xfd9c80fe, 0x556d4aa3), TOBN(0xa03907ba, 0x6525bb61), - TOBN(0x38b010e1, 0xff218933), TOBN(0xc066b654, 0xaa52117b), - TOBN(0x8e141920, 0x94f2e6ea), TOBN(0x66a27dca, 0x0d32f2b2), - TOBN(0x69c7f993, 0x048b3717), TOBN(0xbf5a989a, 0xb178ae1c), - TOBN(0x49fa9058, 0x564f1d6b), TOBN(0x27ec6e15, 0xd31fde4e), - TOBN(0x4cce0373, 0x7276e7fc), TOBN(0x64086d79, 0x89d6bf02), - TOBN(0x5a72f046, 0x4ccdd979), TOBN(0x909c3566, 0x47775631), - TOBN(0x1c07bc6b, 0x75dd7125), TOBN(0xb4c6bc97, 0x87a0428d), - TOBN(0x507ece52, 0xfdeb6b9d), TOBN(0xfca56512, 0xb2c95432), - TOBN(0x15d97181, 0xd0e8bd06), TOBN(0x384dd317, 0xc6bb46ea), - TOBN(0x5441ea20, 0x3952b624), TOBN(0xbcf70dee, 0x4e7dc2fb), - TOBN(0x372b016e, 0x6628e8c3), TOBN(0x07a0d667, 0xb60a7522), - TOBN(0xcf05751b, 0x0a344ee2), TOBN(0x0ec09a48, 0x118bdeec), - TOBN(0x6e4b3d4e, 0xd83dce46), TOBN(0x43a6316d, 0x99d2fc6e), - TOBN(0xa99d8989, 0x56cf044c), TOBN(0x7c7f4454, 0xae3e5fb7), - TOBN(0xb2e6b121, 0xfbabbe92), TOBN(0x281850fb, 0xe1330076), - TOBN(0x093581ec, 0x97890015), TOBN(0x69b1dded, 0x75ff77f5), - TOBN(0x7cf0b18f, 0xab105105), TOBN(0x953ced31, 0xa89ccfef), - TOBN(0x3151f85f, 0xeb914009), TOBN(0x3c9f1b87, 0x88ed48ad), - TOBN(0xc9aba1a1, 0x4a7eadcb), TOBN(0x928e7501, 0x522e71cf), - TOBN(0xeaede727, 0x3a2e4f83), TOBN(0x467e10d1, 0x1ce3bbd3), - TOBN(0xf3442ac3, 0xb955dcf0), TOBN(0xba96307d, 0xd3d5e527), - TOBN(0xf763a10e, 0xfd77f474), TOBN(0x5d744bd0, 0x6a6e1ff0), - TOBN(0xd287282a, 0xa777899e), TOBN(0xe20eda8f, 0xd03f3cde), - TOBN(0x6a7e75bb, 0x50b07d31), TOBN(0x0b7e2a94, 0x6f379de4), - TOBN(0x31cb64ad, 0x19f593cf), TOBN(0x7b1a9e4f, 0x1e76ef1d), - TOBN(0xe18c9c9d, 0xb62d609c), TOBN(0x439bad6d, 0xe779a650), - TOBN(0x219d9066, 0xe032f144), TOBN(0x1db632b8, 0xe8b2ec6a), - TOBN(0xff0d0fd4, 0xfda12f78), TOBN(0x56fb4c2d, 0x2a25d265), - TOBN(0x5f4e2ee1, 0x255a03f1), TOBN(0x61cd6af2, 0xe96af176), - TOBN(0xe0317ba8, 0xd068bc97), TOBN(0x927d6bab, 0x264b988e), - TOBN(0xa18f07e0, 0xe90fb21e), TOBN(0x00fd2b80, 0xbba7fca1), - TOBN(0x20387f27, 0x95cd67b5), TOBN(0x5b89a4e7, 0xd39707f7), - TOBN(0x8f83ad3f, 0x894407ce), TOBN(0xa0025b94, 0x6c226132), - TOBN(0xc79563c7, 0xf906c13b), TOBN(0x5f548f31, 0x4e7bb025), - TOBN(0x2b4c6b8f, 0xeac6d113), TOBN(0xa67e3f9c, 0x0e813c76), - TOBN(0x3982717c, 0x3fe1f4b9), TOBN(0x58865819, 0x26d8050e), - TOBN(0x99f3640c, 0xf7f06f20), TOBN(0xdc610216, 0x2a66ebc2), - TOBN(0x52f2c175, 0x767a1e08), TOBN(0x05660e1a, 0x5999871b), - TOBN(0x6b0f1762, 0x6d3c4693), TOBN(0xf0e7d627, 0x37ed7bea), - TOBN(0xc51758c7, 0xb75b226d), TOBN(0x40a88628, 0x1f91613b), - TOBN(0x889dbaa7, 0xbbb38ce0), TOBN(0xe0404b65, 0xbddcad81), - TOBN(0xfebccd3a, 0x8bc9671f), TOBN(0xfbf9a357, 0xee1f5375), - TOBN(0x5dc169b0, 0x28f33398), TOBN(0xb07ec11d, 0x72e90f65), - TOBN(0xae7f3b4a, 0xfaab1eb1), TOBN(0xd970195e, 0x5f17538a), - TOBN(0x52b05cbe, 0x0181e640), TOBN(0xf5debd62, 0x2643313d), - TOBN(0x76148154, 0x5df31f82), TOBN(0x23e03b33, 0x3a9e13c5), - TOBN(0xff758949, 0x4fde0c1f), TOBN(0xbf8a1abe, 0xe5b6ec20), - TOBN(0x702278fb, 0x87e1db6c), TOBN(0xc447ad7a, 0x35ed658f), - TOBN(0x48d4aa38, 0x03d0ccf2), TOBN(0x80acb338, 0x819a7c03), - TOBN(0x9bc7c89e, 0x6e17cecc), TOBN(0x46736b8b, 0x03be1d82), - TOBN(0xd65d7b60, 0xc0432f96), TOBN(0xddebe7a3, 0xdeb5442f), - TOBN(0x79a25307, 0x7dff69a2), TOBN(0x37a56d94, 0x02cf3122), - TOBN(0x8bab8aed, 0xf2350d0a), TOBN(0x13c3f276, 0x037b0d9a), - TOBN(0xc664957c, 0x44c65cae), TOBN(0x88b44089, 0xc2e71a88), - TOBN(0xdb88e5a3, 0x5cb02664), TOBN(0x5d4c0bf1, 0x8686c72e), - TOBN(0xea3d9b62, 0xa682d53e), TOBN(0x9b605ef4, 0x0b2ad431), - TOBN(0x71bac202, 0xc69645d0), TOBN(0xa115f03a, 0x6a1b66e7), - TOBN(0xfe2c563a, 0x158f4dc4), TOBN(0xf715b3a0, 0x4d12a78c), - TOBN(0x8f7f0a48, 0xd413213a), TOBN(0x2035806d, 0xc04becdb), - TOBN(0xecd34a99, 0x5d8587f5), TOBN(0x4d8c3079, 0x9f6d3a71), - TOBN(0x1b2a2a67, 0x8d95a8f6), TOBN(0xc58c9d7d, 0xf2110d0d), - TOBN(0xdeee81d5, 0xcf8fba3f), TOBN(0xa42be3c0, 0x0c7cdf68), - TOBN(0x2126f742, 0xd43b5eaa), TOBN(0x054a0766, 0xdfa59b85), - TOBN(0x9d0d5e36, 0x126bfd45), TOBN(0xa1f8fbd7, 0x384f8a8f), - TOBN(0x317680f5, 0xd563fccc), TOBN(0x48ca5055, 0xf280a928), - TOBN(0xe00b81b2, 0x27b578cf), TOBN(0x10aad918, 0x2994a514), - TOBN(0xd9e07b62, 0xb7bdc953), TOBN(0x9f0f6ff2, 0x5bc086dd), - TOBN(0x09d1ccff, 0x655eee77), TOBN(0x45475f79, 0x5bef7df1), - TOBN(0x3faa28fa, 0x86f702cc), TOBN(0x92e60905, 0x0f021f07), - TOBN(0xe9e62968, 0x7f8fa8c6), TOBN(0xbd71419a, 0xf036ea2c), - TOBN(0x171ee1cc, 0x6028da9a), TOBN(0x5352fe1a, 0xc251f573), - TOBN(0xf8ff236e, 0x3fa997f4), TOBN(0xd831b6c9, 0xa5749d5f), - TOBN(0x7c872e1d, 0xe350e2c2), TOBN(0xc56240d9, 0x1e0ce403), - TOBN(0xf9deb077, 0x6974f5cb), TOBN(0x7d50ba87, 0x961c3728), - TOBN(0xd6f89426, 0x5a3a2518), TOBN(0xcf817799, 0xc6303d43), - TOBN(0x510a0471, 0x619e5696), TOBN(0xab049ff6, 0x3a5e307b), - TOBN(0xe4cdf9b0, 0xfeb13ec7), TOBN(0xd5e97117, 0x9d8ff90c), - TOBN(0xf6f64d06, 0x9afa96af), TOBN(0x00d0bf5e, 0x9d2012a2), - TOBN(0xe63f301f, 0x358bcdc0), TOBN(0x07689e99, 0x0a9d47f8), - TOBN(0x1f689e2f, 0x4f43d43a), TOBN(0x4d542a16, 0x90920904), - TOBN(0xaea293d5, 0x9ca0a707), TOBN(0xd061fe45, 0x8ac68065), - TOBN(0x1033bf1b, 0x0090008c), TOBN(0x29749558, 0xc08a6db6), - TOBN(0x74b5fc59, 0xc1d5d034), TOBN(0xf712e9f6, 0x67e215e0), - TOBN(0xfd520cbd, 0x860200e6), TOBN(0x0229acb4, 0x3ea22588), - TOBN(0x9cd1e14c, 0xfff0c82e), TOBN(0x87684b62, 0x59c69e73), - TOBN(0xda85e61c, 0x96ccb989), TOBN(0x2d5dbb02, 0xa3d06493), - TOBN(0xf22ad33a, 0xe86b173c), TOBN(0xe8e41ea5, 0xa79ff0e3), - TOBN(0x01d2d725, 0xdd0d0c10), TOBN(0x31f39088, 0x032d28f9), - TOBN(0x7b3f71e1, 0x7829839e), TOBN(0x0cf691b4, 0x4502ae58), - TOBN(0xef658dbd, 0xbefc6115), TOBN(0xa5cd6ee5, 0xb3ab5314), - TOBN(0x206c8d7b, 0x5f1d2347), TOBN(0x794645ba, 0x4cc2253a), - TOBN(0xd517d8ff, 0x58389e08), TOBN(0x4fa20dee, 0x9f847288), - TOBN(0xeba072d8, 0xd797770a), TOBN(0x7360c91d, 0xbf429e26), - TOBN(0x7200a3b3, 0x80af8279), TOBN(0x6a1c9150, 0x82dadce3), - TOBN(0x0ee6d3a7, 0xc35d8794), TOBN(0x042e6558, 0x0356bae5), - TOBN(0x9f59698d, 0x643322fd), TOBN(0x9379ae15, 0x50a61967), - TOBN(0x64b9ae62, 0xfcc9981e), TOBN(0xaed3d631, 0x6d2934c6), - TOBN(0x2454b302, 0x5e4e65eb), TOBN(0xab09f647, 0xf9950428)} - , - {TOBN(0xb2083a12, 0x22248acc), TOBN(0x1f6ec0ef, 0x3264e366), - TOBN(0x5659b704, 0x5afdee28), TOBN(0x7a823a40, 0xe6430bb5), - TOBN(0x24592a04, 0xe1900a79), TOBN(0xcde09d4a, 0xc9ee6576), - TOBN(0x52b6463f, 0x4b5ea54a), TOBN(0x1efe9ed3, 0xd3ca65a7), - 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TOBN(0x0e1b84c8, 0x8fd2d367), TOBN(0xd74bf462, 0x033fb8aa), - TOBN(0x889f6d65, 0x533ef217), TOBN(0x7158c7e4, 0xc3ca2e87), - TOBN(0xfb670dfb, 0xdc2b4167), TOBN(0x75910a01, 0x844c257f), - TOBN(0xf336bf07, 0xcf88577d), TOBN(0x22245250, 0xe45e2ace), - TOBN(0x2ed92e8d, 0x7ca23d85), TOBN(0x29f8be4c, 0x2b812f58), - TOBN(0xdd9ebaa7, 0x076fe12b), TOBN(0x3f2400cb, 0xae1537f9), - TOBN(0x1aa93528, 0x17bdfb46), TOBN(0xc0f98430, 0x67883b41), - TOBN(0x5590ede1, 0x0170911d), TOBN(0x7562f5bb, 0x34d4b17f), - TOBN(0xe1fa1df2, 0x1826b8d2), TOBN(0xb40b796a, 0x6bd80d59), - TOBN(0xd65bf197, 0x3467ba92), TOBN(0x8c9b46db, 0xf70954b0), - TOBN(0x97c8a0f3, 0x0e78f15d), TOBN(0xa8f3a69a, 0x85a4c961), - TOBN(0x4242660f, 0x61e4ce9b), TOBN(0xbf06aab3, 0x6ea6790c), - TOBN(0xc6706f8e, 0xec986416), TOBN(0x9e56dec1, 0x9a9fc225), - TOBN(0x527c46f4, 0x9a9898d9), TOBN(0xd799e77b, 0x5633cdef), - TOBN(0x24eacc16, 0x7d9e4297), TOBN(0xabb61cea, 0x6b1cb734), - TOBN(0xbee2e8a7, 0xf778443c), TOBN(0x3bb42bf1, 0x29de2fe6), - TOBN(0xcbed86a1, 0x3003bb6f), TOBN(0xd3918e6c, 0xd781cdf6), - TOBN(0x4bee3271, 0x9a5103f1), TOBN(0x5243efc6, 0xf50eac06), - TOBN(0xb8e122cb, 0x6adcc119), TOBN(0x1b7faa84, 0xc0b80a08), - TOBN(0x32c3d1bd, 0x6dfcd08c), TOBN(0x129dec4e, 0x0be427de), - TOBN(0x98ab679c, 0x1d263c83), TOBN(0xafc83cb7, 0xcef64eff), - TOBN(0x85eb6088, 0x2fa6be76), TOBN(0x892585fb, 0x1328cbfe), - TOBN(0xc154d3ed, 0xcf618dda), TOBN(0xc44f601b, 0x3abaf26e), - TOBN(0x7bf57d0b, 0x2be1fdfd), TOBN(0xa833bd2d, 0x21137fee), - TOBN(0x9353af36, 0x2db591a8), TOBN(0xc76f26dc, 0x5562a056), - TOBN(0x1d87e47d, 0x3fdf5a51), TOBN(0x7afb5f93, 0x55c9cab0), - TOBN(0x91bbf58f, 0x89e0586e), TOBN(0x7c72c018, 0x0d843709), - TOBN(0xa9a5aafb, 0x99b5c3dc), TOBN(0xa48a0f1d, 0x3844aeb0), - TOBN(0x7178b7dd, 0xb667e482), TOBN(0x453985e9, 0x6e23a59a), - TOBN(0x4a54c860, 0x01b25dd8), TOBN(0x0dd37f48, 0xfb897c8a), - TOBN(0x5f8aa610, 0x0ea90cd9), TOBN(0xc8892c68, 0x16d5830d), - TOBN(0xeb4befc0, 0xef514ca5), TOBN(0x478eb679, 0xe72c9ee6), - TOBN(0x9bca20da, 0xdbc40d5f), TOBN(0xf015de21, 0xdde4f64a), - TOBN(0xaa6a4de0, 0xeaf4b8a5), TOBN(0x68cfd9ca, 0x4bc60e32), - TOBN(0x668a4b01, 0x7fd15e70), TOBN(0xd9f0694a, 0xf27dc09d), - TOBN(0xf6c3cad5, 0xba708bcd), TOBN(0x5cd2ba69, 0x5bb95c2a), - TOBN(0xaa28c1d3, 0x33c0a58f), TOBN(0x23e274e3, 0xabc77870), - TOBN(0x44c3692d, 0xdfd20a4a), TOBN(0x091c5fd3, 0x81a66653), - TOBN(0x6c0bb691, 0x09a0757d), TOBN(0x9072e8b9, 0x667343ea), - TOBN(0x31d40eb0, 0x80848bec), TOBN(0x95bd480a, 0x79fd36cc), - TOBN(0x01a77c61, 0x65ed43f5), TOBN(0xafccd127, 0x2e0d40bf), - TOBN(0xeccfc82d, 0x1cc1884b), TOBN(0xc85ac201, 0x5d4753b4), - TOBN(0xc7a6caac, 0x658e099f), TOBN(0xcf46369e, 0x04b27390), - TOBN(0xe2e7d049, 0x506467ea), TOBN(0x481b63a2, 0x37cdeccc), - TOBN(0x4029abd8, 0xed80143a), TOBN(0x28bfe3c7, 0xbcb00b88), - TOBN(0x3bec1009, 0x0643d84a), TOBN(0x885f3668, 0xabd11041), - TOBN(0xdb02432c, 0xf83a34d6), TOBN(0x32f7b360, 0x719ceebe), - TOBN(0xf06c7837, 0xdad1fe7a), TOBN(0x60a157a9, 0x5441a0b0), - TOBN(0x704970e9, 0xe2d47550), TOBN(0xcd2bd553, 0x271b9020), - TOBN(0xff57f82f, 0x33e24a0b), TOBN(0x9cbee23f, 0xf2565079), - TOBN(0x16353427, 0xeb5f5825), TOBN(0x276feec4, 0xe948d662), - TOBN(0xd1b62bc6, 0xda10032b), TOBN(0x718351dd, 0xf0e72a53), - TOBN(0x93452076, 0x2420e7ba), TOBN(0x96368fff, 0x3a00118d), - TOBN(0x00ce2d26, 0x150a49e4), TOBN(0x0c28b636, 0x3f04706b), - TOBN(0xbad65a46, 0x58b196d0), TOBN(0x6c8455fc, 0xec9f8b7c), - TOBN(0xe90c895f, 0x2d71867e), TOBN(0x5c0be31b, 0xedf9f38c), - TOBN(0x2a37a15e, 0xd8f6ec04), TOBN(0x239639e7, 0x8cd85251), - TOBN(0xd8975315, 0x9c7c4c6b), TOBN(0x603aa3c0, 0xd7409af7), - TOBN(0xb8d53d0c, 0x007132fb), TOBN(0x68d12af7, 0xa6849238), - TOBN(0xbe0607e7, 0xbf5d9279), TOBN(0x9aa50055, 0xaada74ce), - TOBN(0xe81079cb, 0xba7e8ccb), TOBN(0x610c71d1, 0xa5f4ff5e), - TOBN(0x9e2ee1a7, 0x5aa07093), TOBN(0xca84004b, 0xa75da47c), - TOBN(0x074d3951, 0x3de75401), TOBN(0xf938f756, 0xbb311592), - TOBN(0x96197618, 0x00a43421), TOBN(0x39a25362, 0x07bc78c8), - TOBN(0x278f710a, 0x0a171276), TOBN(0xb28446ea, 0x8d1a8f08), - TOBN(0x184781bf, 0xe3b6a661), TOBN(0x7751cb1d, 0xe6d279f7), - TOBN(0xf8ff95d6, 0xc59eb662), TOBN(0x186d90b7, 0x58d3dea7), - TOBN(0x0e4bb6c1, 0xdfb4f754), TOBN(0x5c5cf56b, 0x2b2801dc), - TOBN(0xc561e452, 0x1f54564d), TOBN(0xb4fb8c60, 0xf0dd7f13), - TOBN(0xf8849630, 0x33ff98c7), TOBN(0x9619fffa, 0xcf17769c), - TOBN(0xf8090bf6, 0x1bfdd80a), TOBN(0x14d9a149, 0x422cfe63), - TOBN(0xb354c360, 0x6f6df9ea), TOBN(0xdbcf770d, 0x218f17ea), - TOBN(0x207db7c8, 0x79eb3480), TOBN(0x213dbda8, 0x559b6a26), - TOBN(0xac4c200b, 0x29fc81b3), TOBN(0xebc3e09f, 0x171d87c1), - TOBN(0x91799530, 0x1481aa9e), TOBN(0x051b92e1, 0x92e114fa), - TOBN(0xdf8f92e9, 0xecb5537f), TOBN(0x44b1b2cc, 0x290c7483), - TOBN(0xa711455a, 0x2adeb016), TOBN(0x964b6856, 0x81a10c2c), - TOBN(0x4f159d99, 0xcec03623), TOBN(0x05532225, 0xef3271ea), - TOBN(0xb231bea3, 0xc5ee4849), TOBN(0x57a54f50, 0x7094f103), - TOBN(0x3e2d421d, 0x9598b352), TOBN(0xe865a49c, 0x67412ab4), - TOBN(0xd2998a25, 0x1cc3a912), TOBN(0x5d092808, 0x0c74d65d), - TOBN(0x73f45908, 0x4088567a), TOBN(0xeb6b280e, 0x1f214a61), - TOBN(0x8c9adc34, 0xcaf0c13d), TOBN(0x39d12938, 0xf561fb80), - TOBN(0xb2dc3a5e, 0xbc6edfb4), TOBN(0x7485b1b1, 0xfe4d210e), - TOBN(0x062e0400, 0xe186ae72), TOBN(0x91e32d5c, 0x6eeb3b88), - TOBN(0x6df574d7, 0x4be59224), TOBN(0xebc88ccc, 0x716d55f3), - TOBN(0x26c2e6d0, 0xcad6ed33), TOBN(0xc6e21e7d, 0x0d3e8b10), - TOBN(0x2cc5840e, 0x5bcc36bb), TOBN(0x9292445e, 0x7da74f69), - TOBN(0x8be8d321, 0x4e5193a8), TOBN(0x3ec23629, 0x8df06413), - TOBN(0xc7e9ae85, 0xb134defa), TOBN(0x6073b1d0, 0x1bb2d475), - TOBN(0xb9ad615e, 0x2863c00d), TOBN(0x9e29493d, 0x525f4ac4), - TOBN(0xc32b1dea, 0x4e9acf4f), TOBN(0x3e1f01c8, 0xa50db88d), - TOBN(0xb05d70ea, 0x04da916c), TOBN(0x714b0d0a, 0xd865803e), - TOBN(0x4bd493fc, 0x9920cb5e), TOBN(0x5b44b1f7, 0x92c7a3ac), - TOBN(0xa2a77293, 0xbcec9235), TOBN(0x5ee06e87, 0xcd378553), - TOBN(0xceff8173, 0xda621607), TOBN(0x2bb03e4c, 0x99f5d290), - TOBN(0x2945106a, 0xa6f734ac), TOBN(0xb5056604, 0xd25c4732), - TOBN(0x5945920c, 0xe079afee), TOBN(0x686e17a0, 0x6789831f), - TOBN(0x5966bee8, 0xb74a5ae5), TOBN(0x38a673a2, 0x1e258d46), - TOBN(0xbd1cc1f2, 0x83141c95), TOBN(0x3b2ecf4f, 0x0e96e486), - TOBN(0xcd3aa896, 0x74e5fc78), TOBN(0x415ec10c, 0x2482fa7a), - TOBN(0x15234419, 0x80503380), TOBN(0x513d917a, 0xd314b392), - TOBN(0xb0b52f4e, 0x63caecae), TOBN(0x07bf22ad, 0x2dc7780b), - TOBN(0xe761e8a1, 0xe4306839), TOBN(0x1b3be962, 0x5dd7feaa), - TOBN(0x4fe728de, 0x74c778f1), TOBN(0xf1fa0bda, 0x5e0070f6), - TOBN(0x85205a31, 0x6ec3f510), TOBN(0x2c7e4a14, 0xd2980475), - TOBN(0xde3c19c0, 0x6f30ebfd), TOBN(0xdb1c1f38, 0xd4b7e644), - TOBN(0xfe291a75, 0x5dce364a), TOBN(0xb7b22a3c, 0x058f5be3), - TOBN(0x2cd2c302, 0x37fea38c), TOBN(0x2930967a, 0x2e17be17), - TOBN(0x87f009de, 0x0c061c65), TOBN(0xcb014aac, 0xedc6ed44), - TOBN(0x49bd1cb4, 0x3bafb1eb), TOBN(0x81bd8b5c, 0x282d3688), - TOBN(0x1cdab87e, 0xf01a17af), TOBN(0x21f37ac4, 0xe710063b), - TOBN(0x5a6c5676, 0x42fc8193), TOBN(0xf4753e70, 0x56a6015c), - TOBN(0x020f795e, 0xa15b0a44), TOBN(0x8f37c8d7, 0x8958a958), - TOBN(0x63b7e89b, 0xa4b675b5), TOBN(0xb4fb0c0c, 0x0fc31aea), - TOBN(0xed95e639, 0xa7ff1f2e), TOBN(0x9880f5a3, 0x619614fb), - TOBN(0xdeb6ff02, 0x947151ab), TOBN(0x5bc5118c, 0xa868dcdb), - TOBN(0xd8da2055, 0x4c20cea5), TOBN(0xcac2776e, 0x14c4d69a), - TOBN(0xcccb22c1, 0x622d599b), TOBN(0xa4ddb653, 0x68a9bb50), - 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TOBN(0x4f112d07, 0xe91b536d), TOBN(0xceb982f2, 0x9eba09d6), - TOBN(0x3c157b2c, 0x197c396f), TOBN(0xe23c2d41, 0x7b66eb24), - TOBN(0x480c57d9, 0x3f330d37), TOBN(0xb3a4c8a1, 0x79108deb), - TOBN(0x702388de, 0xcb199ce5), TOBN(0x0b019211, 0xb944a8d4), - TOBN(0x24f2a692, 0x840bb336), TOBN(0x7c353bdc, 0xa669fa7b), - TOBN(0xda20d6fc, 0xdec9c300), TOBN(0x625fbe2f, 0xa13a4f17), - TOBN(0xa2b1b61a, 0xdbc17328), TOBN(0x008965bf, 0xa9515621), - TOBN(0x49690939, 0xc620ff46), TOBN(0x182dd27d, 0x8717e91c), - TOBN(0x5ace5035, 0xea6c3997), TOBN(0x54259aaa, 0xc2610bef), - TOBN(0xef18bb3f, 0x3c80dd39), TOBN(0x6910b95b, 0x5fc3fa39), - TOBN(0xfce2f510, 0x43e09aee), TOBN(0xced56c9f, 0xa7675665), - TOBN(0x10e265ac, 0xd872db61), TOBN(0x6982812e, 0xae9fce69), - TOBN(0x29be11c6, 0xce800998), TOBN(0x72bb1752, 0xb90360d9), - TOBN(0x2c193197, 0x5a4ad590), TOBN(0x2ba2f548, 0x9fc1dbc0), - TOBN(0x7fe4eebb, 0xe490ebe0), TOBN(0x12a0a4cd, 0x7fae11c0), - TOBN(0x7197cf81, 0xe903ba37), TOBN(0xcf7d4aa8, 0xde1c6dd8), - TOBN(0x92af6bf4, 0x3fd5684c), TOBN(0x2b26eecf, 0x80360aa1), - TOBN(0xbd960f30, 0x00546a82), TOBN(0x407b3c43, 0xf59ad8fe), - TOBN(0x86cae5fe, 0x249c82ba), TOBN(0x9e0faec7, 0x2463744c), - TOBN(0x87f551e8, 0x94916272), TOBN(0x033f9344, 0x6ceb0615), - TOBN(0x1e5eb0d1, 0x8be82e84), TOBN(0x89967f0e, 0x7a582fef), - TOBN(0xbcf687d5, 0xa6e921fa), TOBN(0xdfee4cf3, 0xd37a09ba), - TOBN(0x94f06965, 0xb493c465), TOBN(0x638b9a1c, 0x7635c030), - TOBN(0x76667864, 0x66f05e9f), TOBN(0xccaf6808, 0xc04da725), - TOBN(0xca2eb690, 0x768fccfc), TOBN(0xf402d37d, 0xb835b362), - TOBN(0x0efac0d0, 0xe2fdfcce), TOBN(0xefc9cdef, 0xb638d990), - TOBN(0x2af12b72, 0xd1669a8b), TOBN(0x33c536bc, 0x5774ccbd), - TOBN(0x30b21909, 0xfb34870e), TOBN(0xc38fa2f7, 0x7df25aca), - TOBN(0x74c5f02b, 0xbf81f3f5), TOBN(0x0525a5ae, 0xaf7e4581), - TOBN(0x88d2aaba, 0x433c54ae), TOBN(0xed9775db, 0x806a56c5), - TOBN(0xd320738a, 0xc0edb37d), TOBN(0x25fdb6ee, 0x66cc1f51), - TOBN(0xac661d17, 0x10600d76), TOBN(0x931ec1f3, 0xbdd1ed76), - TOBN(0x65c11d62, 0x19ee43f1), TOBN(0x5cd57c3e, 0x60829d97), - TOBN(0xd26c91a3, 0x984be6e8), TOBN(0xf08d9309, 0x8b0c53bd), - TOBN(0x94bc9e5b, 0xc016e4ea), TOBN(0xd3916839, 0x11d43d2b), - TOBN(0x886c5ad7, 0x73701155), TOBN(0xe0377626, 0x20b00715), - TOBN(0x7f01c9ec, 0xaa80ba59), TOBN(0x3083411a, 0x68538e51), - TOBN(0x970370f1, 0xe88128af), TOBN(0x625cc3db, 0x91dec14b), - TOBN(0xfef9666c, 0x01ac3107), TOBN(0xb2a8d577, 0xd5057ac3), - TOBN(0xb0f26299, 0x92be5df7), TOBN(0xf579c8e5, 0x00353924), - TOBN(0xb8fa3d93, 0x1341ed7a), TOBN(0x4223272c, 0xa7b59d49), - TOBN(0x3dcb1947, 0x83b8c4a4), TOBN(0x4e413c01, 0xed1302e4), - TOBN(0x6d999127, 0xe17e44ce), TOBN(0xee86bf75, 0x33b3adfb), - TOBN(0xf6902fe6, 0x25aa96ca), TOBN(0xb73540e4, 0xe5aae47d), - TOBN(0x32801d7b, 0x1b4a158c), TOBN(0xe571c99e, 0x27e2a369), - TOBN(0x40cb76c0, 0x10d9f197), TOBN(0xc308c289, 0x3167c0ae), - TOBN(0xa6ef9dd3, 0xeb7958f2), TOBN(0xa7226dfc, 0x300879b1), - TOBN(0x6cd0b362, 0x7edf0636), TOBN(0x4efbce6c, 0x7bc37eed), - TOBN(0x75f92a05, 0x8d699021), TOBN(0x586d4c79, 0x772566e3), - TOBN(0x378ca5f1, 0x761ad23a), TOBN(0x650d86fc, 0x1465a8ac), - TOBN(0x7a4ed457, 0x842ba251), TOBN(0x6b65e3e6, 0x42234933), - TOBN(0xaf1543b7, 0x31aad657), TOBN(0xa4cefe98, 0xcbfec369), - TOBN(0xb587da90, 0x9f47befb), TOBN(0x6562e9fb, 0x41312d13), - TOBN(0xa691ea59, 0xeff1cefe), TOBN(0xcc30477a, 0x05fc4cf6), - TOBN(0xa1632461, 0x0b0ffd3d), TOBN(0xa1f16f3b, 0x5b355956), - TOBN(0x5b148d53, 0x4224ec24), TOBN(0xdc834e7b, 0xf977012a), - TOBN(0x7bfc5e75, 0xb2c69dbc), TOBN(0x3aa77a29, 0x03c3da6c), - TOBN(0xde0df03c, 0xca910271), TOBN(0xcbd5ca4a, 0x7806dc55), - TOBN(0xe1ca5807, 0x6db476cb), TOBN(0xfde15d62, 0x5f37a31e), - TOBN(0xf49af520, 0xf41af416), TOBN(0x96c5c5b1, 0x7d342db5), - TOBN(0x155c43b7, 0xeb4ceb9b), TOBN(0x2e993010, 0x4e77371a), - TOBN(0x1d2987da, 0x675d43af), TOBN(0xef2bc1c0, 0x8599fd72), - TOBN(0x96894b7b, 0x9342f6b2), TOBN(0x201eadf2, 0x7c8e71f0), - TOBN(0xf3479d9f, 0x4a1f3efc), TOBN(0xe0f8a742, 0x702a9704), - TOBN(0xeafd44b6, 0xb3eba40c), TOBN(0xf9739f29, 0xc1c1e0d0), - TOBN(0x0091471a, 0x619d505e), TOBN(0xc15f9c96, 0x9d7c263e), - TOBN(0x5be47285, 0x83afbe33), TOBN(0xa3b6d6af, 0x04f1e092), - TOBN(0xe76526b9, 0x751a9d11), TOBN(0x2ec5b26d, 0x9a4ae4d2), - TOBN(0xeb66f4d9, 0x02f6fb8d), TOBN(0x4063c561, 0x96912164), - TOBN(0xeb7050c1, 0x80ef3000), TOBN(0x288d1c33, 0xeaa5b3f0), - TOBN(0xe87c68d6, 0x07806fd8), TOBN(0xb2f7f9d5, 0x4bbbf50f), - TOBN(0x25972f3a, 0xac8d6627), TOBN(0xf8547774, 0x10e8c13b), - TOBN(0xcc50ef6c, 0x872b4a60), TOBN(0xab2a34a4, 0x4613521b), - TOBN(0x39c5c190, 0x983e15d1), TOBN(0x61dde5df, 0x59905512), - TOBN(0xe417f621, 0x9f2275f3), TOBN(0x0750c8b6, 0x451d894b), - TOBN(0x75b04ab9, 0x78b0bdaa), TOBN(0x3bfd9fd4, 0x458589bd), - TOBN(0xf1013e30, 0xee9120b6), TOBN(0x2b51af93, 0x23a4743e), - TOBN(0xea96ffae, 0x48d14d9e), TOBN(0x71dc0dbe, 0x698a1d32), - TOBN(0x914962d2, 0x0180cca4), TOBN(0x1ae60677, 0xc3568963), - TOBN(0x8cf227b1, 0x437bc444), TOBN(0xc650c83b, 0xc9962c7a), - TOBN(0x23c2c7dd, 0xfe7ccfc4), TOBN(0xf925c89d, 0x1b929d48), - TOBN(0x4460f74b, 0x06783c33), TOBN(0xac2c8d49, 0xa590475a), - TOBN(0xfb40b407, 0xb807bba0), TOBN(0x9d1e362d, 0x69ff8f3a), - TOBN(0xa33e9681, 0xcbef64a4), TOBN(0x67ece5fa, 0x332fb4b2), - TOBN(0x6900a99b, 0x739f10e3), TOBN(0xc3341ca9, 0xff525925), - TOBN(0xee18a626, 0xa9e2d041), TOBN(0xa5a83685, 0x29580ddd), - TOBN(0xf3470c81, 0x9d7de3cd), TOBN(0xedf02586, 0x2062cf9c), - TOBN(0xf43522fa, 0xc010edb0), TOBN(0x30314135, 0x13a4b1ae), - TOBN(0xc792e02a, 0xdb22b94b), TOBN(0x993d8ae9, 0xa1eaa45b), - TOBN(0x8aad6cd3, 0xcd1e1c63), TOBN(0x89529ca7, 0xc5ce688a), - TOBN(0x2ccee3aa, 0xe572a253), TOBN(0xe02b6438, 0x02a21efb), - TOBN(0xa7091b6e, 0xc9430358), TOBN(0x06d1b1fa, 0x9d7db504), - TOBN(0x58846d32, 0xc4744733), TOBN(0x40517c71, 0x379f9e34), - TOBN(0x2f65655f, 0x130ef6ca), TOBN(0x526e4488, 0xf1f3503f), - TOBN(0x8467bd17, 0x7ee4a976), TOBN(0x1d9dc913, 0x921363d1), - TOBN(0xd8d24c33, 0xb069e041), TOBN(0x5eb5da0a, 0x2cdf7f51), - TOBN(0x1c0f3cb1, 0x197b994f), TOBN(0x3c95a6c5, 0x2843eae9), - TOBN(0x7766ffc9, 0xa6097ea5), TOBN(0x7bea4093, 0xd723b867), - TOBN(0xb48e1f73, 0x4db378f9), TOBN(0x70025b00, 0xe37b77ac), - TOBN(0x943dc8e7, 0xaf24ad46), TOBN(0xb98a15ac, 0x16d00a85), - TOBN(0x3adc38ba, 0x2743b004), TOBN(0xb1c7f4f7, 0x334415ee), - TOBN(0xea43df8f, 0x1e62d05a), TOBN(0x32618905, 0x9d76a3b6), - TOBN(0x2fbd0bb5, 0xa23a0f46), TOBN(0x5bc971db, 0x6a01918c), - TOBN(0x7801d94a, 0xb4743f94), TOBN(0xb94df65e, 0x676ae22b), - TOBN(0xaafcbfab, 0xaf95894c), TOBN(0x7b9bdc07, 0x276b2241), - TOBN(0xeaf98362, 0x5bdda48b), TOBN(0x5977faf2, 0xa3fcb4df), - TOBN(0xbed042ef, 0x052c4b5b), TOBN(0x9fe87f71, 0x067591f0), - TOBN(0xc89c73ca, 0x22f24ec7), TOBN(0x7d37fa9e, 0xe64a9f1b), - TOBN(0x2710841a, 0x15562627), TOBN(0x2c01a613, 0xc243b034), - TOBN(0x1d135c56, 0x2bc68609), TOBN(0xc2ca1715, 0x8b03f1f6), - TOBN(0xc9966c2d, 0x3eb81d82), TOBN(0xc02abf4a, 0x8f6df13e), - TOBN(0x77b34bd7, 0x8f72b43b), TOBN(0xaff6218f, 0x360c82b0), - TOBN(0x0aa5726c, 0x8d55b9d2), TOBN(0xdc0adbe9, 0x99e9bffb), - TOBN(0x9097549c, 0xefb9e72a), TOBN(0x16755712, 0x9dfb3111), - TOBN(0xdd8bf984, 0xf26847f9), TOBN(0xbcb8e387, 0xdfb30cb7), - TOBN(0xc1fd32a7, 0x5171ef9c), TOBN(0x977f3fc7, 0x389b363f), - TOBN(0x116eaf2b, 0xf4babda0), TOBN(0xfeab68bd, 0xf7113c8e), - TOBN(0xd1e3f064, 0xb7def526), TOBN(0x1ac30885, 0xe0b3fa02), - TOBN(0x1c5a6e7b, 0x40142d9d), TOBN(0x839b5603, 0x30921c0b), - TOBN(0x48f301fa, 0x36a116a3), TOBN(0x380e1107, 0xcfd9ee6d), - TOBN(0x7945ead8, 0x58854be1), TOBN(0x4111c12e, 0xcbd4d49d), - TOBN(0xece3b1ec, 0x3a29c2ef), TOBN(0x6356d404, 0x8d3616f5), - TOBN(0x9f0d6a8f, 0x594d320e), TOBN(0x0989316d, 0xf651ccd2), - TOBN(0x6c32117a, 0x0f8fdde4), TOBN(0x9abe5cc5, 0xa26a9bbc), - TOBN(0xcff560fb, 0x9723f671), TOBN(0x21b2a12d, 0x7f3d593c), - TOBN(0xe4cb18da, 0x24ba0696), TOBN(0x186e2220, 0xc3543384), - TOBN(0x722f64e0, 0x88312c29), TOBN(0x94282a99, 0x17dc7752), - TOBN(0x62467bbf, 0x5a85ee89), TOBN(0xf435c650, 0xf10076a0), - TOBN(0xc9ff1539, 0x43b3a50b), TOBN(0x7132130c, 0x1a53efbc), - TOBN(0x31bfe063, 0xf7b0c5b7), TOBN(0xb0179a7d, 0x4ea994cc), - TOBN(0x12d064b3, 0xc85f455b), TOBN(0x47259328, 0x8f6e0062), - TOBN(0xf64e590b, 0xb875d6d9), TOBN(0x22dd6225, 0xad92bcc7), - TOBN(0xb658038e, 0xb9c3bd6d), TOBN(0x00cdb0d6, 0xfbba27c8), - TOBN(0x0c681337, 0x1062c45d), TOBN(0xd8515b8c, 0x2d33407d), - TOBN(0xcb8f699e, 0x8cbb5ecf), TOBN(0x8c4347f8, 0xc608d7d8), - TOBN(0x2c11850a, 0xbb3e00db), TOBN(0x20a8dafd, 0xecb49d19), - TOBN(0xbd781480, 0x45ee2f40), TOBN(0x75e354af, 0x416b60cf), - TOBN(0xde0b58a1, 0x8d49a8c4), TOBN(0xe40e94e2, 0xfa359536), - TOBN(0xbd4fa59f, 0x62accd76), TOBN(0x05cf466a, 0x8c762837), - TOBN(0xb5abda99, 0x448c277b), TOBN(0x5a9e01bf, 0x48b13740), - TOBN(0x9d457798, 0x326aad8d), TOBN(0xbdef4954, 0xc396f7e7), - TOBN(0x6fb274a2, 0xc253e292), TOBN(0x2800bf0a, 0x1cfe53e7), - TOBN(0x22426d31, 0x44438fd4), TOBN(0xef233923, 0x5e259f9a), - TOBN(0x4188503c, 0x03f66264), TOBN(0x9e5e7f13, 0x7f9fdfab), - TOBN(0x565eb76c, 0x5fcc1aba), TOBN(0xea632548, 0x59b5bff8), - TOBN(0x5587c087, 0xaab6d3fa), TOBN(0x92b639ea, 0x6ce39c1b), - TOBN(0x0706e782, 0x953b135c), TOBN(0x7308912e, 0x425268ef), - TOBN(0x599e92c7, 0x090e7469), TOBN(0x83b90f52, 0x9bc35e75), - TOBN(0x4750b3d0, 0x244975b3), TOBN(0xf3a44358, 0x11965d72), - TOBN(0x179c6774, 0x9c8dc751), TOBN(0xff18cdfe, 0xd23d9ff0), - TOBN(0xc4013833, 0x2028e247), TOBN(0x96e280e2, 0xf3bfbc79), - TOBN(0xf60417bd, 0xd0880a84), TOBN(0x263c9f3d, 0x2a568151), - TOBN(0x36be15b3, 0x2d2ce811), TOBN(0x846dc0c2, 0xf8291d21), - TOBN(0x5cfa0ecb, 0x789fcfdb), TOBN(0x45a0beed, 0xd7535b9a), - TOBN(0xec8e9f07, 0x96d69af1), TOBN(0x31a7c5b8, 0x599ab6dc), - TOBN(0xd36d45ef, 0xf9e2e09f), TOBN(0x3cf49ef1, 0xdcee954b), - TOBN(0x6be34cf3, 0x086cff9b), TOBN(0x88dbd491, 0x39a3360f), - TOBN(0x1e96b8cc, 0x0dbfbd1d), TOBN(0xc1e5f7bf, 0xcb7e2552), - TOBN(0x0547b214, 0x28819d98), TOBN(0xc770dd9c, 0x7aea9dcb), - TOBN(0xaef0d4c7, 0x041d68c8), TOBN(0xcc2b9818, 0x13cb9ba8), - TOBN(0x7fc7bc76, 0xfe86c607), TOBN(0x6b7b9337, 0x502a9a95), - TOBN(0x1948dc27, 0xd14dab63), TOBN(0x249dd198, 0xdae047be), - TOBN(0xe8356584, 0xa981a202), TOBN(0x3531dd18, 0x3a893387), - TOBN(0x1be11f90, 0xc85c7209), TOBN(0x93d2fe1e, 0xe2a52b5a), - TOBN(0x8225bfe2, 0xec6d6b97), TOBN(0x9cf6d6f4, 0xbd0aa5de), - TOBN(0x911459cb, 0x54779f5f), TOBN(0x5649cddb, 0x86aeb1f3), - TOBN(0x32133579, 0x3f26ce5a), TOBN(0xc289a102, 0x550f431e), - TOBN(0x559dcfda, 0x73b84c6f), TOBN(0x84973819, 0xee3ac4d7), - TOBN(0xb51e55e6, 0xf2606a82), TOBN(0xe25f7061, 0x90f2fb57), - TOBN(0xacef6c2a, 0xb1a4e37c), TOBN(0x864e359d, 0x5dcf2706), - TOBN(0x479e6b18, 0x7ce57316), TOBN(0x2cab2500, 0x3a96b23d), - TOBN(0xed489862, 0x8ef16df7), TOBN(0x2056538c, 0xef3758b5), - TOBN(0xa7df865e, 0xf15d3101), TOBN(0x80c5533a, 0x61b553d7), - TOBN(0x366e1997, 0x4ed14294), TOBN(0x6620741f, 0xb3c0bcd6), - TOBN(0x21d1d9c4, 0xedc45418), TOBN(0x005b859e, 0xc1cc4a9d), - TOBN(0xdf01f630, 0xa1c462f0), TOBN(0x15d06cf3, 0xf26820c7), - TOBN(0x9f7f24ee, 0x3484be47), TOBN(0x2ff33e96, 0x4a0c902f), - TOBN(0x00bdf457, 0x5a0bc453), TOBN(0x2378dfaf, 0x1aa238db), - TOBN(0x272420ec, 0x856720f2), TOBN(0x2ad9d95b, 0x96797291), - TOBN(0xd1242cc6, 0x768a1558), TOBN(0x2e287f8b, 0x5cc86aa8), - TOBN(0x796873d0, 0x990cecaa), TOBN(0xade55f81, 0x675d4080), - TOBN(0x2645eea3, 0x21f0cd84), TOBN(0x7a1efa0f, 0xb4e17d02), - TOBN(0xf6858420, 0x037cc061), TOBN(0x682e05f0, 0xd5d43e12), - TOBN(0x59c36994, 0x27218710), TOBN(0x85cbba4d, 0x3f7cd2fc), - TOBN(0x726f9729, 0x7a3cd22a), TOBN(0x9f8cd5dc, 0x4a628397), - TOBN(0x17b93ab9, 0xc23165ed), TOBN(0xff5f5dbf, 0x122823d4), - TOBN(0xc1e4e4b5, 0x654a446d), TOBN(0xd1a9496f, 0x677257ba), - TOBN(0x6387ba94, 0xde766a56), TOBN(0x23608bc8, 0x521ec74a), - TOBN(0x16a522d7, 0x6688c4d4), TOBN(0x9d6b4282, 0x07373abd), - TOBN(0xa62f07ac, 0xb42efaa3), TOBN(0xf73e00f7, 0xe3b90180), - TOBN(0x36175fec, 0x49421c3e), TOBN(0xc4e44f9b, 0x3dcf2678), - TOBN(0x76df436b, 0x7220f09f), TOBN(0x172755fb, 0x3aa8b6cf), - TOBN(0xbab89d57, 0x446139cc), TOBN(0x0a0a6e02, 0x5fe0208f), - TOBN(0xcdbb63e2, 0x11e5d399), TOBN(0x33ecaa12, 0xa8977f0b), - TOBN(0x59598b21, 0xf7c42664), TOBN(0xb3e91b32, 0xab65d08a), - TOBN(0x035822ee, 0xf4502526), TOBN(0x1dcf0176, 0x720a82a9), - TOBN(0x50f8598f, 0x3d589e02), TOBN(0xdf0478ff, 0xb1d63d2c), - TOBN(0x8b8068bd, 0x1571cd07), TOBN(0x30c3aa4f, 0xd79670cd), - TOBN(0x25e8fd4b, 0x941ade7f), TOBN(0x3d1debdc, 0x32790011), - TOBN(0x65b6dcbd, 0x3a3f9ff0), TOBN(0x282736a4, 0x793de69c), - TOBN(0xef69a0c3, 0xd41d3bd3), TOBN(0xb533b8c9, 0x07a26bde), - TOBN(0xe2801d97, 0xdb2edf9f), TOBN(0xdc4a8269, 0xe1877af0), - TOBN(0x6c1c5851, 0x3d590dbe), TOBN(0x84632f6b, 0xee4e9357), - TOBN(0xd36d36b7, 0x79b33374), TOBN(0xb46833e3, 0x9bbca2e6), - TOBN(0x37893913, 0xf7fc0586), TOBN(0x385315f7, 0x66bf4719), - TOBN(0x72c56293, 0xb31855dc), TOBN(0xd1416d4e, 0x849061fe), - TOBN(0xbeb3ab78, 0x51047213), TOBN(0x447f6e61, 0xf040c996), - TOBN(0xd06d310d, 0x638b1d0c), TOBN(0xe28a413f, 0xbad1522e), - TOBN(0x685a76cb, 0x82003f86), TOBN(0x610d07f7, 0x0bcdbca3), - TOBN(0x6ff66021, 0x9ca4c455), TOBN(0x7df39b87, 0xcea10eec), - TOBN(0xb9255f96, 0xe22db218), TOBN(0x8cc6d9eb, 0x08a34c44), - TOBN(0xcd4ffb86, 0x859f9276), TOBN(0x8fa15eb2, 0x50d07335), - TOBN(0xdf553845, 0xcf2c24b5), TOBN(0x89f66a9f, 0x52f9c3ba), - TOBN(0x8f22b5b9, 0xe4a7ceb3), TOBN(0xaffef809, 0x0e134686), - TOBN(0x3e53e1c6, 0x8eb8fac2), TOBN(0x93c1e4eb, 0x28aec98e), - TOBN(0xb6b91ec5, 0x32a43bcb), TOBN(0x2dbfa947, 0xb2d74a51), - TOBN(0xe065d190, 0xca84bad7), TOBN(0xfb13919f, 0xad58e65c), - TOBN(0x3c41718b, 0xf1cb6e31), TOBN(0x688969f0, 0x06d05c3f), - TOBN(0xd4f94ce7, 0x21264d45), TOBN(0xfdfb65e9, 0x7367532b), - TOBN(0x5b1be8b1, 0x0945a39d), TOBN(0x229f789c, 0x2b8baf3b), - TOBN(0xd8f41f3e, 0x6f49f15d), TOBN(0x678ce828, 0x907f0792), - TOBN(0xc69ace82, 0xfca6e867), TOBN(0x106451ae, 0xd01dcc89), - TOBN(0x1bb4f7f0, 0x19fc32d2), TOBN(0x64633dfc, 0xb00c52d2), - TOBN(0x8f13549a, 0xad9ea445), TOBN(0x99a3bf50, 0xfb323705), - TOBN(0x0c9625a2, 0x534d4dbc), TOBN(0x45b8f1d1, 0xc2a2fea3), - TOBN(0x76ec21a1, 0xa530fc1a), TOBN(0x4bac9c2a, 0x9e5bd734), - TOBN(0x5996d76a, 0x7b4e3587), TOBN(0x0045cdee, 0x1182d9e3), - TOBN(0x1aee24b9, 0x1207f13d), TOBN(0x66452e97, 0x97345a41), - TOBN(0x16e5b054, 0x9f950cd0), TOBN(0x9cc72fb1, 0xd7fdd075), - TOBN(0x6edd61e7, 0x66249663), TOBN(0xde4caa4d, 0xf043cccb), - TOBN(0x11b1f57a, 0x55c7ac17), TOBN(0x779cbd44, 0x1a85e24d), - TOBN(0x78030f86, 0xe46081e7), TOBN(0xfd4a6032, 0x8e20f643), - TOBN(0xcc7a6488, 0x0a750c0f), TOBN(0x39bacfe3, 0x4e548e83), - TOBN(0x3d418c76, 0x0c110f05), TOBN(0x3e4daa4c, 0xb1f11588), - TOBN(0x2733e7b5, 0x5ffc69ff), TOBN(0x46f147bc, 0x92053127), - TOBN(0x885b2434, 0xd722df94), TOBN(0x6a444f65, 0xe6fc6b7c)} - , - {TOBN(0x7a1a465a, 0xc3f16ea8), TOBN(0x115a461d, 0xb2f1d11c), - TOBN(0x4767dd95, 0x6c68a172), TOBN(0x3392f2eb, 0xd13a4698), - 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TOBN(0x8c546901, 0x6c6067bb), TOBN(0xfd378574, 0x61c24456), - TOBN(0x2b6a6cbe, 0x81796b33), TOBN(0x62d550f6, 0x58e87f8b), - TOBN(0x1b763e1c, 0x7f1b01b4), TOBN(0x4b93cfea, 0x1b1b5e12), - TOBN(0xb9345238, 0x1d531696), TOBN(0x57201c00, 0x88cdde69), - TOBN(0xdde92251, 0x9a86afc7), TOBN(0xe3043895, 0xbd35cea8), - TOBN(0x7608c1e1, 0x8555970d), TOBN(0x8267dfa9, 0x2535935e), - TOBN(0xd4c60a57, 0x322ea38b), TOBN(0xe0bf7977, 0x804ef8b5), - TOBN(0x1a0dab28, 0xc06fece4), TOBN(0xd405991e, 0x94e7b49d), - TOBN(0xc542b6d2, 0x706dab28), TOBN(0xcb228da3, 0xa91618fb), - TOBN(0x224e4164, 0x107d1cea), TOBN(0xeb9fdab3, 0xd0f5d8f1), - TOBN(0xc02ba386, 0x0d6e41cd), TOBN(0x676a72c5, 0x9b1f7146), - TOBN(0xffd6dd98, 0x4d6cb00b), TOBN(0xcef9c5ca, 0xde2e8d7c), - TOBN(0xa1bbf5d7, 0x641c7936), TOBN(0x1b95b230, 0xee8f772e), - TOBN(0xf765a92e, 0xe8ac25b1), TOBN(0xceb04cfc, 0x3a18b7c6), - TOBN(0x27944cef, 0x0acc8966), TOBN(0xcbb3c957, 0x434c1004), - TOBN(0x9c9971a1, 0xa43ff93c), TOBN(0x5bc2db17, 0xa1e358a9), - TOBN(0x45b4862e, 0xa8d9bc82), TOBN(0x70ebfbfb, 0x2201e052), - TOBN(0xafdf64c7, 0x92871591), TOBN(0xea5bcae6, 0xb42d0219), - TOBN(0xde536c55, 0x2ad8f03c), TOBN(0xcd6c3f4d, 0xa76aa33c), - TOBN(0xbeb5f623, 0x0bca6de3), TOBN(0xdd20dd99, 0xb1e706fd), - TOBN(0x90b3ff9d, 0xac9059d4), TOBN(0x2d7b2902, 0x7ccccc4e), - TOBN(0x8a090a59, 0xce98840f), TOBN(0xa5d947e0, 0x8410680a), - TOBN(0x49ae346a, 0x923379a5), TOBN(0x7dbc84f9, 0xb28a3156), - TOBN(0xfd40d916, 0x54a1aff2), TOBN(0xabf318ba, 0x3a78fb9b), - TOBN(0x50152ed8, 0x3029f95e), TOBN(0x9fc1dd77, 0xc58ad7fa), - TOBN(0x5fa57915, 0x13595c17), TOBN(0xb9504668, 0x8f62b3a9), - TOBN(0x907b5b24, 0xff3055b0), TOBN(0x2e995e35, 0x9a84f125), - TOBN(0x87dacf69, 0x7e9bbcfb), TOBN(0x95d0c1d6, 0xe86d96e3), - TOBN(0x65726e3c, 0x2d95a75c), TOBN(0x2c3c9001, 0xacd27f21), - TOBN(0x1deab561, 0x6c973f57), TOBN(0x108b7e2c, 0xa5221643), - TOBN(0x5fee9859, 0xc4ef79d4), TOBN(0xbd62b88a, 0x40d4b8c6), - TOBN(0xb4dd29c4, 0x197c75d6), TOBN(0x266a6df2, 0xb7076feb), - TOBN(0x9512d0ea, 0x4bf2df11), TOBN(0x1320c24f, 0x6b0cc9ec), - TOBN(0x6bb1e0e1, 0x01a59596), TOBN(0x8317c5bb, 0xeff9aaac), - TOBN(0x65bb405e, 0x385aa6c9), TOBN(0x613439c1, 0x8f07988f), - TOBN(0xd730049f, 0x16a66e91), TOBN(0xe97f2820, 0xfa1b0e0d), - TOBN(0x4131e003, 0x304c28ea), TOBN(0x820ab732, 0x526bac62), - TOBN(0xb2ac9ef9, 0x28714423), TOBN(0x54ecfffa, 0xadb10cb2), - TOBN(0x8781476e, 0xf886a4cc), TOBN(0x4b2c87b5, 0xdb2f8d49), - TOBN(0xe857cd20, 0x0a44295d), TOBN(0x707d7d21, 0x58c6b044), - TOBN(0xae8521f9, 0xf596757c), TOBN(0x87448f03, 0x67b2b714), - TOBN(0x13a9bc45, 0x5ebcd58d), TOBN(0x79bcced9, 0x9122d3c1), - TOBN(0x3c644247, 0x9e076642), TOBN(0x0cf22778, 0x2df4767d), - TOBN(0x5e61aee4, 0x71d444b6), TOBN(0x211236bf, 0xc5084a1d), - TOBN(0x7e15bc9a, 0x4fd3eaf6), TOBN(0x68df2c34, 0xab622bf5), - TOBN(0x9e674f0f, 0x59bf4f36), TOBN(0xf883669b, 0xd7f34d73), - TOBN(0xc48ac1b8, 0x31497b1d), TOBN(0x323b925d, 0x5106703b), - TOBN(0x22156f42, 0x74082008), TOBN(0xeffc521a, 0xc8482bcb), - TOBN(0x5c6831bf, 0x12173479), TOBN(0xcaa2528f, 0xc4739490), - TOBN(0x84d2102a, 0x8f1b3c4d), TOBN(0xcf64dfc1, 0x2d9bec0d), - TOBN(0x433febad, 0x78a546ef), TOBN(0x1f621ec3, 0x7b73cef1), - TOBN(0x6aecd627, 0x37338615), TOBN(0x162082ab, 0x01d8edf6), - TOBN(0x833a8119, 0x19e86b66), TOBN(0x6023a251, 0xd299b5db), - TOBN(0xf5bb0c3a, 0xbbf04b89), TOBN(0x6735eb69, 0xae749a44), - TOBN(0xd0e058c5, 0x4713de3b), TOBN(0xfdf2593e, 0x2c3d4ccd), - TOBN(0x1b8f414e, 0xfdd23667), TOBN(0xdd52aaca, 0xfa2015ee), - TOBN(0x3e31b517, 0xbd9625ff), TOBN(0x5ec9322d, 0x8db5918c), - TOBN(0xbc73ac85, 0xa96f5294), TOBN(0x82aa5bf3, 0x61a0666a), - TOBN(0x49755810, 0xbf08ac42), TOBN(0xd21cdfd5, 0x891cedfc), - TOBN(0x918cb57b, 0x67f8be10), TOBN(0x365d1a7c, 0x56ffa726), - TOBN(0x2435c504, 0x6532de93), TOBN(0xc0fc5e10, 0x2674cd02), - TOBN(0x6e51fcf8, 0x9cbbb142), TOBN(0x1d436e5a, 0xafc50692), - TOBN(0x766bffff, 0x3fbcae22), TOBN(0x3148c2fd, 0xfd55d3b8), - TOBN(0x52c7fdc9, 0x233222fa), TOBN(0x89ff1092, 0xe419fb6b), - TOBN(0x3cd6db99, 0x25254977), TOBN(0x2e85a161, 0x1cf12ca7), - TOBN(0xadd2547c, 0xdc810bc9), TOBN(0xea3f458f, 0x9d257c22), - TOBN(0x642c1fbe, 0x27d6b19b), TOBN(0xed07e6b5, 0x140481a6), - TOBN(0x6ada1d42, 0x86d2e0f8), TOBN(0xe5920122, 0x0e8a9fd5), - TOBN(0x02c936af, 0x708c1b49), TOBN(0x60f30fee, 0x2b4bfaff), - TOBN(0x6637ad06, 0x858e6a61), TOBN(0xce4c7767, 0x3fd374d0), - TOBN(0x39d54b2d, 0x7188defb), TOBN(0xa8c9d250, 0xf56a6b66), - TOBN(0x58fc0f5e, 0xb24fe1dc), TOBN(0x9eaf9dee, 0x6b73f24c), - TOBN(0xa90d588b, 0x33650705), TOBN(0xde5b62c5, 0xaf2ec729), - TOBN(0x5c72cfae, 0xd3c2b36e), TOBN(0x868c19d5, 0x034435da), - TOBN(0x88605f93, 0xe17ee145), TOBN(0xaa60c4ee, 0x77a5d5b1), - TOBN(0xbcf5bfd2, 0x3b60c472), TOBN(0xaf4ef13c, 0xeb1d3049), - TOBN(0x373f44fc, 0xe13895c9), TOBN(0xf29b382f, 0x0cbc9822), - TOBN(0x1bfcb853, 0x73efaef6), TOBN(0xcf56ac9c, 0xa8c96f40), - TOBN(0xd7adf109, 0x7a191e24), TOBN(0x98035f44, 0xbf8a8dc2), - TOBN(0xf40a71b9, 0x1e750c84), TOBN(0xc57f7b0c, 0x5dc6c469), - TOBN(0x49a0e79c, 0x6fbc19c1), TOBN(0x6b0f5889, 0xa48ebdb8), - TOBN(0x5d3fd084, 0xa07c4e9f), TOBN(0xc3830111, 0xab27de14), - TOBN(0x0e4929fe, 0x33e08dcc), TOBN(0xf4a5ad24, 0x40bb73a3), - TOBN(0xde86c2bf, 0x490f97ca), TOBN(0x288f09c6, 0x67a1ce18), - TOBN(0x364bb886, 0x1844478d), TOBN(0x7840fa42, 0xceedb040), - 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TOBN(0xa0dbfcec, 0xf83cba5d), TOBN(0xf9538148, 0x93b4f3c0), - TOBN(0x61744162, 0x48f24dd7), TOBN(0x5322d64d, 0xe4fb09dd), - TOBN(0x57447384, 0x3d9325f3), TOBN(0xa9bef2d0, 0xf371cb84), - TOBN(0x77d2188b, 0xa61e36c5), TOBN(0xbbd6a7d7, 0xc602df72), - TOBN(0xba3aa902, 0x8f61bc0b), TOBN(0xf49085ed, 0x6ed0b6a1), - TOBN(0x8bc625d6, 0xae6e8298), TOBN(0x832b0b1d, 0xa2e9c01d), - TOBN(0xa337c447, 0xf1f0ced1), TOBN(0x800cc793, 0x9492dd2b), - TOBN(0x4b93151d, 0xbea08efa), TOBN(0x820cf3f8, 0xde0a741e), - TOBN(0xff1982dc, 0x1c0f7d13), TOBN(0xef921960, 0x84dde6ca), - TOBN(0x1ad7d972, 0x45f96ee3), TOBN(0x319c8dbe, 0x29dea0c7), - TOBN(0xd3ea3871, 0x7b82b99b), TOBN(0x75922d4d, 0x470eb624), - TOBN(0x8f66ec54, 0x3b95d466), TOBN(0x66e673cc, 0xbee1e346), - TOBN(0x6afe67c4, 0xb5f2b89a), TOBN(0x3de9c1e6, 0x290e5cd3), - TOBN(0x8c278bb6, 0x310a2ada), TOBN(0x420fa384, 0x0bdb323b), - TOBN(0x0ae1d63b, 0x0eb919b0), TOBN(0xd74ee51d, 0xa74b9620), - TOBN(0x395458d0, 0xa674290c), TOBN(0x324c930f, 0x4620a510), - TOBN(0x2d1f4d19, 0xfbac27d4), TOBN(0x4086e8ca, 0x9bedeeac), - TOBN(0x0cdd211b, 0x9b679ab8), TOBN(0x5970167d, 0x7090fec4), - TOBN(0x3420f2c9, 0xfaf1fc63), TOBN(0x616d333a, 0x328c8bb4), - TOBN(0x7d65364c, 0x57f1fe4a), TOBN(0x9343e877, 0x55e5c73a), - TOBN(0x5795176b, 0xe970e78c), TOBN(0xa36ccebf, 0x60533627), - TOBN(0xfc7c7380, 0x09cdfc1b), TOBN(0xb39a2afe, 0xb3fec326), - TOBN(0xb7ff1ba1, 0x6224408a), TOBN(0xcc856e92, 0x247cfc5e), - TOBN(0x01f102e7, 0xc18bc493), TOBN(0x4613ab74, 0x2091c727), - TOBN(0xaa25e89c, 0xc420bf2b), TOBN(0x00a53176, 0x90337ec2), - TOBN(0xd2be9f43, 0x7d025fc7), TOBN(0x3316fb85, 0x6e6fe3dc), - TOBN(0x27520af5, 0x9ac50814), TOBN(0xfdf95e78, 0x9a8e4223), - TOBN(0xb7e7df2a, 0x56bec5a0), TOBN(0xf7022f7d, 0xdf159e5d), - TOBN(0x93eeeab1, 0xcac1fe8f), TOBN(0x8040188c, 0x37451168), - TOBN(0x7ee8aa8a, 0xd967dce6), TOBN(0xfa0e79e7, 0x3abc9299), - TOBN(0x67332cfc, 0x2064cfd1), TOBN(0x339c31de, 0xb0651934), - TOBN(0x719b28d5, 0x2a3bcbea), TOBN(0xee74c82b, 0x9d6ae5c6), - TOBN(0x0927d05e, 0xbaf28ee6), TOBN(0x82cecf2c, 0x9d719028), - TOBN(0x0b0d353e, 0xddb30289), TOBN(0xfe4bb977, 0xfddb2e29), - TOBN(0xbb5bb990, 0x640bfd9e), TOBN(0xd226e277, 0x82f62108), - TOBN(0x4bf00985, 0x02ffdd56), TOBN(0x7756758a, 0x2ca1b1b5), - TOBN(0xc32b62a3, 0x5285fe91), TOBN(0xedbc546a, 0x8c9cd140), - TOBN(0x1e47a013, 0xaf5cb008), TOBN(0xbca7e720, 0x073ce8f2), - TOBN(0xe10b2ab8, 0x17a91cae), TOBN(0xb89aab65, 0x08e27f63), - TOBN(0x7b3074a7, 0xdba3ddf9), TOBN(0x1c20ce09, 0x330c2972), - TOBN(0x6b9917b4, 0x5fcf7e33), TOBN(0xe6793743, 0x945ceb42), - TOBN(0x18fc2215, 0x5c633d19), TOBN(0xad1adb3c, 0xc7485474), - TOBN(0x646f9679, 0x6424c49b), TOBN(0xf888dfe8, 0x67c241c9), - TOBN(0xe12d4b93, 0x24f68b49), TOBN(0x9a6b62d8, 0xa571df20), - TOBN(0x81b4b26d, 0x179483cb), TOBN(0x666f9632, 0x9511fae2), - TOBN(0xd281b3e4, 0xd53aa51f), TOBN(0x7f96a765, 0x7f3dbd16), - TOBN(0xa7f8b5bf, 0x074a30ce), TOBN(0xd7f52107, 0x005a32e6), - TOBN(0x6f9e0907, 0x50237ed4), TOBN(0x2f21da47, 0x8096fa2b), - TOBN(0xf3e19cb4, 0xeec863a0), TOBN(0xd18f77fd, 0x9527620a), - TOBN(0x9505c81c, 0x407c1cf8), TOBN(0x9998db4e, 0x1b6ec284), - TOBN(0x7e3389e5, 0xc247d44d), TOBN(0x12507141, 0x3f4f3d80), - TOBN(0xd4ba0110, 0x4a78a6c7), TOBN(0x312874a0, 0x767720be), - TOBN(0xded059a6, 0x75944370), TOBN(0xd6123d90, 0x3b2c0bdd), - TOBN(0xa56b717b, 0x51c108e3), TOBN(0x9bb7940e, 0x070623e9), - TOBN(0x794e2d59, 0x84ac066c), TOBN(0xf5954a92, 0xe68c69a0), - TOBN(0x28c52458, 0x4fd99dcc), TOBN(0x60e639fc, 0xb1012517), - TOBN(0xc2e60125, 0x7de79248), TOBN(0xe9ef6404, 0xf12fc6d7), - TOBN(0x4c4f2808, 0x2a3b5d32), TOBN(0x865ad32e, 0xc768eb8a), - TOBN(0xac02331b, 0x13fb70b6), TOBN(0x037b44c1, 0x95599b27), - TOBN(0x1a860fc4, 0x60bd082c), TOBN(0xa2e25745, 0xc980cd01), - TOBN(0xee3387a8, 0x1da0263e), TOBN(0x931bfb95, 0x2d10f3d6), - TOBN(0x5b687270, 0xa1f24a32), TOBN(0xf140e65d, 0xca494b86), - TOBN(0x4f4ddf91, 0xb2f1ac7a), TOBN(0xf99eaabb, 0x760fee27), - TOBN(0x57f4008a, 0x49c228e5), TOBN(0x090be440, 0x1cf713bb), - TOBN(0xac91fbe4, 0x5004f022), TOBN(0xd838c2c2, 0x569e1af6), - TOBN(0xd6c7d20b, 0x0f1daaa5), TOBN(0xaa063ac1, 0x1bbb02c0), - TOBN(0x0938a422, 0x59558a78), TOBN(0x5343c669, 0x8435da2f), - TOBN(0x96f67b18, 0x034410dc), TOBN(0x7cc1e424, 0x84510804), - TOBN(0x86a1543f, 0x16dfbb7d), TOBN(0x921fa942, 0x5b5bd592), - TOBN(0x9dcccb6e, 0xb33dd03c), TOBN(0x8581ddd9, 0xb843f51e), - TOBN(0x54935fcb, 0x81d73c9e), TOBN(0x6d07e979, 0x0a5e97ab), - TOBN(0x4dc7b30a, 0xcf3a6bab), TOBN(0x147ab1f3, 0x170bee11), - TOBN(0x0aaf8e3d, 0x9fafdee4), TOBN(0xfab3dbcb, 0x538a8b95), - TOBN(0x405df4b3, 0x6ef13871), TOBN(0xf1f4e9cb, 0x088d5a49), - TOBN(0x9bcd24d3, 0x66b33f1d), TOBN(0x3b97b820, 0x5ce445c0), - TOBN(0xe2926549, 0xba93ff61), TOBN(0xd9c341ce, 0x4dafe616), - TOBN(0xfb30a76e, 0x16efb6f3), TOBN(0xdf24b8ca, 0x605b953c), - TOBN(0x8bd52afe, 0xc2fffb9f), TOBN(0xbbac5ff7, 0xe19d0b96), - TOBN(0x43c01b87, 0x459afccd), TOBN(0x6bd45143, 0xb7432652), - TOBN(0x84734530, 0x55b5d78e), TOBN(0x81088fdb, 0x1554ba7d), - TOBN(0xada0a52c, 0x1e269375), TOBN(0xf9f037c4, 0x2dc5ec10), - TOBN(0xc0660607, 0x94bfbc11), TOBN(0xc0a630bb, 0xc9c40d2f), - TOBN(0x5efc797e, 0xab64c31e), TOBN(0xffdb1dab, 0x74507144), - TOBN(0xf6124287, 0x1ca6790c), TOBN(0xe9609d81, 0xe69bf1bf), - TOBN(0xdb898595, 0x00d24fc9), TOBN(0x9c750333, 0xe51fb417), - TOBN(0x51830a91, 0xfef7bbde), TOBN(0x0ce67dc8, 0x945f585c), - TOBN(0x9a730ed4, 0x4763eb50), TOBN(0x24a0e221, 0xc1ab0d66), - TOBN(0x643b6393, 0x648748f3), TOBN(0x1982daa1, 0x6d3c6291), - TOBN(0x6f00a9f7, 0x8bbc5549), TOBN(0x7a1783e1, 0x7f36384e), - TOBN(0xe8346323, 0xde977f50), TOBN(0x91ab688d, 0xb245502a), - TOBN(0x331ab6b5, 0x6d0bdd66), TOBN(0x0a6ef32e, 0x64b71229), - TOBN(0x1028150e, 0xfe7c352f), TOBN(0x27e04350, 0xce7b39d3), - TOBN(0x2a3c8acd, 0xc1070c82), TOBN(0xfb2034d3, 0x80c9feef), - TOBN(0x2d729621, 0x709f3729), TOBN(0x8df290bf, 0x62cb4549), - TOBN(0x02f99f33, 0xfc2e4326), TOBN(0x3b30076d, 0x5eddf032), - TOBN(0xbb21f8cf, 0x0c652fb5), TOBN(0x314fb49e, 0xed91cf7b), - TOBN(0xa013eca5, 0x2f700750), TOBN(0x2b9e3c23, 0x712a4575), - TOBN(0xe5355557, 0xaf30fbb0), TOBN(0x1ada3516, 0x7c77e771), - TOBN(0x45f6ecb2, 0x7b135670), TOBN(0xe85d19df, 0x7cfc202e), - TOBN(0x0f1b50c7, 0x58d1be9f), TOBN(0x5ebf2c0a, 0xead2e344), - TOBN(0x1531fe4e, 0xabc199c9), TOBN(0xc7032592, 0x56bab0ae), - TOBN(0x16ab2e48, 0x6c1fec54), TOBN(0x0f87fda8, 0x04280188), - TOBN(0xdc9f46fc, 0x609e4a74), TOBN(0x2a44a143, 0xba667f91), - TOBN(0xbc3d8b95, 0xb4d83436), TOBN(0xa01e4bd0, 0xc7bd2958), - TOBN(0x7b182932, 0x73483c90), TOBN(0xa79c6aa1, 0xa7c7b598), - TOBN(0xbf3983c6, 0xeaaac07e), TOBN(0x8f18181e, 0x96e0d4e6), - TOBN(0x8553d37c, 0x051af62b), TOBN(0xe9a998eb, 0x0bf94496), - TOBN(0xe0844f9f, 0xb0d59aa1), TOBN(0x983fd558, 0xe6afb813), - TOBN(0x9670c0ca, 0x65d69804), TOBN(0x732b22de, 0x6ea5ff2d), - TOBN(0xd7640ba9, 0x5fd8623b), TOBN(0x9f619163, 0xa6351782), - TOBN(0x0bfc27ee, 0xacee5043), TOBN(0xae419e73, 0x2eb10f02), - TOBN(0x19c028d1, 0x8943fb05), TOBN(0x71f01cf7, 0xff13aa2a), - TOBN(0x7790737e, 0x8887a132), TOBN(0x67513309, 0x66318410), - TOBN(0x9819e8a3, 0x7ddb795e), TOBN(0xfecb8ef5, 0xdad100b2), - TOBN(0x59f74a22, 0x3021926a), TOBN(0xb7c28a49, 0x6f9b4c1c), - TOBN(0xed1a733f, 0x912ad0ab), TOBN(0x42a910af, 0x01a5659c), - TOBN(0x3842c6e0, 0x7bd68cab), TOBN(0x2b57fa38, 0x76d70ac8), - TOBN(0x8a6707a8, 0x3c53aaeb), TOBN(0x62c1c510, 0x65b4db18), - TOBN(0x8de2c1fb, 0xb2d09dc7), TOBN(0xc3dfed12, 0x266bd23b), - TOBN(0x927d039b, 0xd5b27db6), TOBN(0x2fb2f0f1, 0x103243da), - TOBN(0xf855a07b, 0x80be7399), TOBN(0xed9327ce, 0x1f9f27a8), - TOBN(0xa0bd99c7, 0x729bdef7), TOBN(0x2b67125e, 0x28250d88), - TOBN(0x784b26e8, 0x8670ced7), TOBN(0xe3dfe41f, 0xc31bd3b4), - TOBN(0x9e353a06, 0xbcc85cbc), TOBN(0x302e2909, 0x60178a9d), - TOBN(0x860abf11, 0xa6eac16e), TOBN(0x76447000, 0xaa2b3aac), - TOBN(0x46ff9d19, 0x850afdab), TOBN(0x35bdd6a5, 0xfdb2d4c1), - TOBN(0xe82594b0, 0x7e5c9ce9), TOBN(0x0f379e53, 0x20af346e), - TOBN(0x608b31e3, 0xbc65ad4a), TOBN(0x710c6b12, 0x267c4826), - TOBN(0x51c966f9, 0x71954cf1), TOBN(0xb1cec793, 0x0d0aa215), - TOBN(0x1f155989, 0x86bd23a8), TOBN(0xae2ff99c, 0xf9452e86), - TOBN(0xd8dd953c, 0x340ceaa2), TOBN(0x26355275, 0x2e2e9333), - TOBN(0x15d4e5f9, 0x8586f06d), TOBN(0xd6bf94a8, 0xf7cab546), - TOBN(0x33c59a0a, 0xb76a9af0), TOBN(0x52740ab3, 0xba095af7), - TOBN(0xc444de8a, 0x24389ca0), TOBN(0xcc6f9863, 0x706da0cb), - TOBN(0xb5a741a7, 0x6b2515cf), TOBN(0x71c41601, 0x9585c749), - TOBN(0x78350d4f, 0xe683de97), TOBN(0x31d61524, 0x63d0b5f5), - TOBN(0x7a0cc5e1, 0xfbce090b), TOBN(0xaac927ed, 0xfbcb2a5b), - TOBN(0xe920de49, 0x20d84c35), TOBN(0x8c06a0b6, 0x22b4de26), - TOBN(0xd34dd58b, 0xafe7ddf3), TOBN(0x55851fed, 0xc1e6e55b), - TOBN(0xd1395616, 0x960696e7), TOBN(0x940304b2, 0x5f22705f), - TOBN(0x6f43f861, 0xb0a2a860), TOBN(0xcf121282, 0x0e7cc981), - TOBN(0x12186212, 0x0ab64a96), TOBN(0x09215b9a, 0xb789383c), - TOBN(0x311eb305, 0x37387c09), TOBN(0xc5832fce, 0xf03ee760), - TOBN(0x30358f58, 0x32f7ea19), TOBN(0xe01d3c34, 0x91d53551), - TOBN(0x1ca5ee41, 0xda48ea80), TOBN(0x34e71e8e, 0xcf4fa4c1), - TOBN(0x312abd25, 0x7af1e1c7), TOBN(0xe3afcdeb, 0x2153f4a5), - TOBN(0x9d5c84d7, 0x00235e9a), TOBN(0x0308d3f4, 0x8c4c836f), - TOBN(0xc0a66b04, 0x89332de5), TOBN(0x610dd399, 0x89e566ef), - TOBN(0xf8eea460, 0xd1ac1635), TOBN(0x84cbb3fb, 0x20a2c0df), - TOBN(0x40afb488, 0xe74a48c5), TOBN(0x29738198, 0xd326b150), - TOBN(0x2a17747f, 0xa6d74081), TOBN(0x60ea4c05, 0x55a26214), - TOBN(0x53514bb4, 0x1f88c5fe), TOBN(0xedd64567, 0x7e83426c), - TOBN(0xd5d6cbec, 0x96460b25), TOBN(0xa12fd0ce, 0x68dc115e), - TOBN(0xc5bc3ed2, 0x697840ea), TOBN(0x969876a8, 0xa6331e31), - TOBN(0x60c36217, 0x472ff580), TOBN(0xf4229705, 0x4ad41393), - TOBN(0x4bd99ef0, 0xa03b8b92), TOBN(0x501c7317, 0xc144f4f6), - TOBN(0x159009b3, 0x18464945), TOBN(0x6d5e594c, 0x74c5c6be), - TOBN(0x2d587011, 0x321a3660), TOBN(0xd1e184b1, 0x3898d022), - TOBN(0x5ba04752, 0x4c6a7e04), TOBN(0x47fa1e2b, 0x45550b65), - TOBN(0x9419daf0, 0x48c0a9a5), TOBN(0x66362953, 0x7c243236), - TOBN(0xcd0744b1, 0x5cb12a88), TOBN(0x561b6f9a, 0x2b646188), - TOBN(0x599415a5, 0x66c2c0c0), TOBN(0xbe3f0859, 0x0f83f09a), - TOBN(0x9141c5be, 0xb92041b8), TOBN(0x01ae38c7, 0x26477d0d), - TOBN(0xca8b71f3, 0xd12c7a94), TOBN(0xfab5b31f, 0x765c70db), - TOBN(0x76ae7492, 0x487443e9), TOBN(0x8595a310, 0x990d1349), - TOBN(0xf8dbeda8, 0x7d460a37), TOBN(0x7f7ad082, 0x1e45a38f), - TOBN(0xed1d4db6, 0x1059705a), TOBN(0xa3dd492a, 0xe6b9c697), - TOBN(0x4b92ee3a, 0x6eb38bd5), TOBN(0xbab2609d, 0x67cc0bb7), - TOBN(0x7fc4fe89, 0x6e70ee82), TOBN(0xeff2c56e, 0x13e6b7e3), - TOBN(0x9b18959e, 0x34d26fca), TOBN(0x2517ab66, 0x889d6b45), - TOBN(0xf167b4e0, 0xbdefdd4f), TOBN(0x69958465, 0xf366e401), - TOBN(0x5aa368ab, 0xa73bbec0), TOBN(0x12148709, 0x7b240c21), - TOBN(0x378c3233, 0x18969006), TOBN(0xcb4d73ce, 0xe1fe53d1), - TOBN(0x5f50a80e, 0x130c4361), TOBN(0xd67f5951, 0x7ef5212b), - TOBN(0xf145e21e, 0x9e70c72e), TOBN(0xb2e52e29, 0x5566d2fb), - TOBN(0x44eaba4a, 0x032397f5), TOBN(0x5e56937b, 0x7e31a7de), - TOBN(0x68dcf517, 0x456c61e1), TOBN(0xbc2e954a, 0xa8b0a388), - TOBN(0xe3552fa7, 0x60a8b755), TOBN(0x03442dae, 0x73ad0cde), - TOBN(0x37ffe747, 0xceb26210), TOBN(0x983545e8, 0x787baef9), - TOBN(0x8b8c8535, 0x86a3de31), TOBN(0xc621dbcb, 0xfacd46db), - TOBN(0x82e442e9, 0x59266fbb), TOBN(0xa3514c37, 0x339d471c), - TOBN(0x3a11b771, 0x62cdad96), TOBN(0xf0cb3b3c, 0xecf9bdf0), - TOBN(0x3fcbdbce, 0x478e2135), TOBN(0x7547b5cf, 0xbda35342), - TOBN(0xa97e81f1, 0x8a677af6), TOBN(0xc8c2bf83, 0x28817987), - TOBN(0xdf07eaaf, 0x45580985), TOBN(0xc68d1f05, 0xc93b45cb), - TOBN(0x106aa2fe, 0xc77b4cac), TOBN(0x4c1d8afc, 0x04a7ae86), - TOBN(0xdb41c3fd, 0x9eb45ab2), TOBN(0x5b234b5b, 0xd4b22e74), - TOBN(0xda253dec, 0xf215958a), TOBN(0x67e0606e, 0xa04edfa0), - TOBN(0xabbbf070, 0xef751b11), TOBN(0xf352f175, 0xf6f06dce), - TOBN(0xdfc4b6af, 0x6839f6b4), TOBN(0x53ddf9a8, 0x9959848e), - TOBN(0xda49c379, 0xc21520b0), TOBN(0x90864ff0, 0xdbd5d1b6), - TOBN(0x2f055d23, 0x5f49c7f7), TOBN(0xe51e4e6a, 0xa796b2d8), - TOBN(0xc361a67f, 0x5c9dc340), TOBN(0x5ad53c37, 0xbca7c620), - TOBN(0xda1d6588, 0x32c756d0), TOBN(0xad60d911, 0x8bb67e13), - TOBN(0xd6c47bdf, 0x0eeec8c6), TOBN(0x4a27fec1, 0x078a1821), - TOBN(0x081f7415, 0xc3099524), TOBN(0x8effdf0b, 0x82cd8060), - TOBN(0xdb70ec1c, 0x65842df8), TOBN(0x8821b358, 0xd319a901), - TOBN(0x72ee56ee, 0xde42b529), TOBN(0x5bb39592, 0x236e4286), - TOBN(0xd1183316, 0xfd6f7140), TOBN(0xf9fadb5b, 0xbd8e81f7), - TOBN(0x701d5e0c, 0x5a02d962), TOBN(0xfdee4dbf, 0x1b601324), - TOBN(0xbed17407, 0x35d7620e), TOBN(0x04e3c2c3, 0xf48c0012), - TOBN(0x9ee29da7, 0x3455449a), TOBN(0x562cdef4, 0x91a836c4), - TOBN(0x8f682a5f, 0x47701097), TOBN(0x617125d8, 0xff88d0c2), - TOBN(0x948fda24, 0x57bb86dd), TOBN(0x348abb8f, 0x289f7286), - TOBN(0xeb10eab5, 0x99d94bbd), TOBN(0xd51ba28e, 0x4684d160), - TOBN(0xabe0e51c, 0x30c8f41a), TOBN(0x66588b45, 0x13254f4a), - TOBN(0x147ebf01, 0xfad097a5), TOBN(0x49883ea8, 0x610e815d), - TOBN(0xe44d60ba, 0x8a11de56), TOBN(0xa970de6e, 0x827a7a6d), - TOBN(0x2be41424, 0x5e17fc19), TOBN(0xd833c657, 0x01214057), - TOBN(0x1375813b, 0x363e723f), TOBN(0x6820bb88, 0xe6a52e9b), - TOBN(0x7e7f6970, 0xd875d56a), TOBN(0xd6a0a9ac, 0x51fbf6bf), - TOBN(0x54ba8790, 0xa3083c12), TOBN(0xebaeb23d, 0x6ae7eb64), - TOBN(0xa8685c3a, 0xb99a907a), TOBN(0xf1e74550, 0x026bf40b), - TOBN(0x7b73a027, 0xc802cd9e), TOBN(0x9a8a927c, 0x4fef4635), - TOBN(0xe1b6f60c, 0x08191224), TOBN(0xc4126ebb, 0xde4ec091), - TOBN(0xe1dff4dc, 0x4ae38d84), TOBN(0xde3f57db, 0x4f2ef985), - TOBN(0x34964337, 0xd446a1dd), TOBN(0x7bf217a0, 0x859e77f6), - TOBN(0x8ff10527, 0x8e1d13f5), TOBN(0xa304ef03, 0x74eeae27), - TOBN(0xfc6f5e47, 0xd19dfa5a), TOBN(0xdb007de3, 0x7fad982b), - TOBN(0x28205ad1, 0x613715f5), TOBN(0x251e6729, 0x7889529e), - TOBN(0x72705184, 0x1ae98e78), TOBN(0xf818537d, 0x271cac32), - TOBN(0xc8a15b7e, 0xb7f410f5), TOBN(0xc474356f, 0x81f62393), - TOBN(0x92dbdc5a, 0xc242316b), TOBN(0xabe060ac, 0xdbf4aff5), - TOBN(0x6e8c38fe, 0x909a8ec6), TOBN(0x43e514e5, 0x6116cb94), - TOBN(0x2078fa38, 0x07d784f9), TOBN(0x1161a880, 0xf4b5b357), - TOBN(0x5283ce79, 0x13adea3d), TOBN(0x0756c3e6, 0xcc6a910b), - TOBN(0x60bcfe01, 0xaaa79697), TOBN(0x04a73b29, 0x56391db1), - TOBN(0xdd8dad47, 0x189b45a0), TOBN(0xbfac0dd0, 0x48d5b8d9), - TOBN(0x34ab3af5, 0x7d3d2ec2), TOBN(0x6fa2fc2d, 0x207bd3af), - TOBN(0x9ff40092, 0x66550ded), TOBN(0x719b3e87, 0x1fd5b913), - TOBN(0xa573a496, 0x6d17fbc7), TOBN(0x0cd1a70a, 0x73d2b24e), - TOBN(0x34e2c5ca, 0xb2676937), TOBN(0xe7050b06, 0xbf669f21), - TOBN(0xfbe948b6, 0x1ede9046), TOBN(0xa0530051, 0x97662659), - TOBN(0x58cbd4ed, 0xf10124c5), TOBN(0xde2646e4, 0xdd6c06c8), - TOBN(0x332f8108, 0x8cad38c0), TOBN(0x471b7e90, 0x6bd68ae2), - TOBN(0x56ac3fb2, 0x0d8e27a3), TOBN(0xb54660db, 0x136b4b0d), - TOBN(0x123a1e11, 0xa6fd8de4), TOBN(0x44dbffea, 0xa37799ef), - TOBN(0x4540b977, 0xce6ac17c), TOBN(0x495173a8, 0xaf60acef)} - 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TOBN(0xe7980e34, 0x6de6f922), TOBN(0x873554cb, 0xf4dd9a22), - TOBN(0x0316c627, 0xcbf18a51), TOBN(0x4d93651b, 0x3032c081), - TOBN(0x207f2771, 0x3946834d), TOBN(0x2c08d7b4, 0x30cdbf80), - TOBN(0x137a4fb4, 0x86df2a61), TOBN(0xa1ed9c07, 0xecf7b4a2), - TOBN(0xb2e460e2, 0x7bd042ff), TOBN(0xb7f5e2fa, 0x5f62f5ec), - TOBN(0x7aa6ec6b, 0xcc2423b7), TOBN(0x75ce0a7f, 0xba63eea7), - TOBN(0x67a45fb1, 0xf250a6e1), TOBN(0x93bc919c, 0xe53cdc9f), - TOBN(0x9271f56f, 0x871942df), TOBN(0x2372ff6f, 0x7859ad66), - TOBN(0x5f4c2b96, 0x33cb1a78), TOBN(0xe3e29101, 0x5838aa83), - TOBN(0xa7ed1611, 0xe4e8110c), TOBN(0x2a2d70d5, 0x330198ce), - TOBN(0xbdf132e8, 0x6720efe0), TOBN(0xe61a8962, 0x66a471bf), - TOBN(0x796d3a85, 0x825808bd), TOBN(0x51dc3cb7, 0x3fd6e902), - TOBN(0x643c768a, 0x916219d1), TOBN(0x36cd7685, 0xa2ad7d32), - TOBN(0xe3db9d05, 0xb22922a4), TOBN(0x6494c87e, 0xdba29660), - TOBN(0xf0ac91df, 0xbcd2ebc7), TOBN(0x4deb57a0, 0x45107f8d), - TOBN(0x42271f59, 0xc3d12a73), TOBN(0x5f71687c, 0xa5c2c51d), - TOBN(0xcb1f50c6, 0x05797bcb), TOBN(0x29ed0ed9, 0xd6d34eb0), - TOBN(0xe5fe5b47, 0x4683c2eb), TOBN(0x4956eeb5, 0x97447c46), - TOBN(0x5b163a43, 0x71207167), TOBN(0x93fa2fed, 0x0248c5ef), - TOBN(0x67930af2, 0x31f63950), TOBN(0xa77797c1, 0x14caa2c9), - TOBN(0x526e80ee, 0x27ac7e62), TOBN(0xe1e6e626, 0x58b28aec), - TOBN(0x636178b0, 0xb3c9fef0), TOBN(0xaf7752e0, 0x6d5f90be), - TOBN(0x94ecaf18, 0xeece51cf), TOBN(0x2864d0ed, 0xca806e1f), - TOBN(0x6de2e383, 0x97c69134), TOBN(0x5a42c316, 0xeb291293), - TOBN(0xc7779219, 0x6a60bae0), TOBN(0xa24de346, 0x6b7599d1), - TOBN(0x49d374aa, 0xb75d4941), TOBN(0x98900586, 0x2d501ff0), - TOBN(0x9f16d40e, 0xeb7974cf), TOBN(0x1033860b, 0xcdd8c115), - TOBN(0xb6c69ac8, 0x2094cec3), TOBN(0x9976fb88, 0x403b770c), - TOBN(0x1dea026c, 0x4859590d), TOBN(0xb6acbb46, 0x8562d1fd), - TOBN(0x7cd6c461, 0x44569d85), TOBN(0xc3190a36, 0x97f0891d), - TOBN(0xc6f53195, 0x48d5a17d), TOBN(0x7d919966, 0xd749abc8), - TOBN(0x65104837, 0xdd1c8a20), TOBN(0x7e5410c8, 0x2f683419), - TOBN(0x958c3ca8, 0xbe94022e), TOBN(0x605c3197, 0x6145dac2), - TOBN(0x3fc07501, 0x01683d54), TOBN(0x1d7127c5, 0x595b1234), - TOBN(0x10b8f87c, 0x9481277f), TOBN(0x677db2a8, 0xe65a1adb), - TOBN(0xec2fccaa, 0xddce3345), TOBN(0x2a6811b7, 0x012a4350), - TOBN(0x96760ff1, 0xac598bdc), TOBN(0x054d652a, 0xd1bf4128), - TOBN(0x0a1151d4, 0x92a21005), TOBN(0xad7f3971, 0x33110fdf), - TOBN(0x8c95928c, 0x1960100f), TOBN(0x6c91c825, 0x7bf03362), - TOBN(0xc8c8b2a2, 0xce309f06), TOBN(0xfdb27b59, 0xca27204b), - TOBN(0xd223eaa5, 0x0848e32e), TOBN(0xb93e4b2e, 0xe7bfaf1e), - TOBN(0xc5308ae6, 0x44aa3ded), TOBN(0x317a666a, 0xc015d573), - TOBN(0xc888ce23, 0x1a979707), TOBN(0xf141c1e6, 0x0d5c4958), - TOBN(0xb53b7de5, 0x61906373), TOBN(0x858dbade, 0xeb999595), - TOBN(0x8cbb47b2, 0xa59e5c36), TOBN(0x660318b3, 0xdcf4e842), - TOBN(0xbd161ccd, 0x12ba4b7a), TOBN(0xf399daab, 0xf8c8282a), - TOBN(0x1587633a, 0xeeb2130d), TOBN(0xa465311a, 0xda38dd7d), - TOBN(0x5f75eec8, 0x64d3779b), TOBN(0x3c5d0476, 0xad64c171), - TOBN(0x87410371, 0x2a914428), TOBN(0x8096a891, 0x90e2fc29), - TOBN(0xd3d2ae9d, 0x23b3ebc2), TOBN(0x90bdd6db, 0xa580cfd6), - TOBN(0x52dbb7f3, 0xc5b01f6c), TOBN(0xe68eded4, 0xe102a2dc), - 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TOBN(0x97e5443f, 0x23885e5f), TOBN(0xf72f8f99, 0xe8433aab), - TOBN(0xbd00b154, 0xe4d4e604), TOBN(0xd0b35e6a, 0xe5e173ff), - TOBN(0x57b2a048, 0x9164722d), TOBN(0x3e3c665b, 0x88761ec8), - TOBN(0x6bdd1397, 0x3da83832), TOBN(0x3c8b1a1e, 0x73dafe3b), - TOBN(0x4497ace6, 0x54317cac), TOBN(0xbe600ab9, 0x521771b3), - TOBN(0xb42e409e, 0xb0dfe8b8), TOBN(0x386a67d7, 0x3942310f), - TOBN(0x25548d8d, 0x4431cc28), TOBN(0xa7cff142, 0x985dc524), - TOBN(0x4d60f5a1, 0x93c4be32), TOBN(0x83ebd5c8, 0xd071c6e1), - TOBN(0xba3a80a7, 0xb1fd2b0b), TOBN(0x9b3ad396, 0x5bec33e8), - TOBN(0xb3868d61, 0x79743fb3), TOBN(0xcfd169fc, 0xfdb462fa), - TOBN(0xd3b499d7, 0x9ce0a6af), TOBN(0x55dc1cf1, 0xe42d3ff8), - TOBN(0x04fb9e6c, 0xc6c3e1b2), TOBN(0x47e6961d, 0x6f69a474), - TOBN(0x54eb3acc, 0xe548b37b), TOBN(0xb38e7542, 0x84d40549), - TOBN(0x8c3daa51, 0x7b341b4f), TOBN(0x2f6928ec, 0x690bf7fa), - TOBN(0x0496b323, 0x86ce6c41), TOBN(0x01be1c55, 0x10adadcd), - TOBN(0xc04e67e7, 0x4bb5faf9), TOBN(0x3cbaf678, 0xe15c9985), - TOBN(0x8cd12145, 0x50ca4247), TOBN(0xba1aa47a, 0xe7dd30aa), - TOBN(0x2f81ddf1, 0xe58fee24), TOBN(0x03452936, 0xeec9b0e8), - TOBN(0x8bdc3b81, 0x243aea96), TOBN(0x9a2919af, 0x15c3d0e5), - TOBN(0x9ea640ec, 0x10948361), TOBN(0x5ac86d5b, 0x6e0bcccf), - TOBN(0xf892d918, 0xc36cf440), TOBN(0xaed3e837, 0xc939719c), - TOBN(0xb07b08d2, 0xc0218b64), TOBN(0x6f1bcbba, 0xce9790dd), - TOBN(0x4a84d6ed, 0x60919b8e), TOBN(0xd8900791, 0x8ac1f9eb), - TOBN(0xf84941aa, 0x0dd5daef), TOBN(0xb22fe40a, 0x67fd62c5), - TOBN(0x97e15ba2, 0x157f2db3), TOBN(0xbda2fc8f, 0x8e28ca9c), - TOBN(0x5d050da4, 0x37b9f454), TOBN(0x3d57eb57, 0x2379d72e), - TOBN(0xe9b5eba2, 0xfb5ee997), TOBN(0x01648ca2, 0xe11538ca), - TOBN(0x32bb76f6, 0xf6327974), TOBN(0x338f14b8, 0xff3f4bb7), - TOBN(0x524d226a, 0xd7ab9a2d), TOBN(0x9c00090d, 0x7dfae958), - TOBN(0x0ba5f539, 0x8751d8c2), TOBN(0x8afcbcdd, 0x3ab8262d), - TOBN(0x57392729, 0xe99d043b), TOBN(0xef51263b, 0xaebc943a), - TOBN(0x9feace93, 0x20862935), TOBN(0x639efc03, 0xb06c817b), - TOBN(0x1fe054b3, 0x66b4be7a), TOBN(0x3f25a9de, 0x84a37a1e), - TOBN(0xf39ef1ad, 0x78d75cd9), TOBN(0xd7b58f49, 0x5062c1b5), - TOBN(0x6f74f9a9, 0xff563436), TOBN(0xf718ff29, 0xe8af51e7), - TOBN(0x5234d313, 0x15e97fec), TOBN(0xb6a8e2b1, 0x292f1c0a), - TOBN(0xa7f53aa8, 0x327720c1), TOBN(0x956ca322, 0xba092cc8), - TOBN(0x8f03d64a, 0x28746c4d), TOBN(0x51fe1782, 0x66d0d392), - TOBN(0xd19b34db, 0x3c832c80), TOBN(0x60dccc5c, 0x6da2e3b4), - TOBN(0x245dd62e, 0x0a104ccc), TOBN(0xa7ab1de1, 0x620b21fd), - TOBN(0xb293ae0b, 0x3893d123), TOBN(0xf7b75783, 0xb15ee71c), - TOBN(0x5aa3c614, 0x42a9468b), TOBN(0xd686123c, 0xdb15d744), - TOBN(0x8c616891, 0xa7ab4116), TOBN(0x6fcd72c8, 0xa4e6a459), - TOBN(0xac219110, 0x77e5fad7), TOBN(0xfb6a20e7, 0x704fa46b), - TOBN(0xe839be7d, 0x341d81dc), TOBN(0xcddb6889, 0x32148379), - TOBN(0xda6211a1, 0xf7026ead), TOBN(0xf3b2575f, 0xf4d1cc5e), - TOBN(0x40cfc8f6, 0xa7a73ae6), TOBN(0x83879a5e, 0x61d5b483), - TOBN(0xc5acb1ed, 0x41a50ebc), TOBN(0x59a60cc8, 0x3c07d8fa), - TOBN(0x1b73bdce, 0xb1876262), TOBN(0x2b0d79f0, 0x12af4ee9), - TOBN(0x8bcf3b0b, 0xd46e1d07), TOBN(0x17d6af9d, 0xe45d152f), - TOBN(0x73520461, 0x6d736451), TOBN(0x43cbbd97, 0x56b0bf5a), - TOBN(0xb0833a5b, 0xd5999b9d), TOBN(0x702614f0, 0xeb72e398), - TOBN(0x0aadf01a, 0x59c3e9f8), TOBN(0x40200e77, 0xce6b3d16), - TOBN(0xda22bdd3, 0xdeddafad), TOBN(0x76dedaf4, 0x310d72e1), - TOBN(0x49ef807c, 0x4bc2e88f), TOBN(0x6ba81291, 0x146dd5a5), - TOBN(0xa1a4077a, 0x7d8d59e9), TOBN(0x87b6a2e7, 0x802db349), - TOBN(0xd5679997, 0x1b4e598e), TOBN(0xf499ef1f, 0x06fe4b1d), - TOBN(0x3978d3ae, 0xfcb267c5), TOBN(0xb582b557, 0x235786d0), - TOBN(0x32b3b2ca, 0x1715cb07), TOBN(0x4c3de6a2, 0x8480241d), - TOBN(0x63b5ffed, 0xcb571ecd), TOBN(0xeaf53900, 0xed2fe9a9), - TOBN(0xdec98d4a, 0xc3b81990), TOBN(0x1cb83722, 0x9e0cc8fe), - TOBN(0xfe0b0491, 0xd2b427b9), TOBN(0x0f2386ac, 0xe983a66c), - TOBN(0x930c4d1e, 0xb3291213), TOBN(0xa2f82b2e, 0x59a62ae4), - TOBN(0x77233853, 0xf93e89e3), TOBN(0x7f8063ac, 0x11777c7f), - TOBN(0xff0eb567, 0x59ad2877), TOBN(0x6f454642, 0x9865c754), - TOBN(0xe6fe701a, 0x236e9a84), TOBN(0xc586ef16, 0x06e40fc3), - TOBN(0x3f62b6e0, 0x24bafad9), TOBN(0xc8b42bd2, 0x64da906a), - TOBN(0xc98e1eb4, 0xda3276a0), TOBN(0x30d0e5fc, 0x06cbf852), - TOBN(0x1b6b2ae1, 0xe8b4dfd4), TOBN(0xd754d5c7, 0x8301cbac), - TOBN(0x66097629, 0x112a39ac), TOBN(0xf86b5999, 0x93ba4ab9), - TOBN(0x26c9dea7, 0x99f9d581), TOBN(0x0473b1a8, 0xc2fafeaa), - TOBN(0x1469af55, 0x3b2505a5), TOBN(0x227d16d7, 0xd6a43323), - TOBN(0x3316f73c, 0xad3d97f9), TOBN(0x52bf3bb5, 0x1f137455), - TOBN(0x953eafeb, 0x09954e7c), TOBN(0xa721dfed, 0xdd732411), - TOBN(0xb4929821, 0x141d4579), TOBN(0x3411321c, 0xaa3bd435), - TOBN(0xafb355aa, 0x17fa6015), TOBN(0xb4e7ef4a, 0x18e42f0e), - TOBN(0x604ac97c, 0x59371000), TOBN(0xe1c48c70, 0x7f759c18), - TOBN(0x3f62ecc5, 0xa5db6b65), TOBN(0x0a78b173, 0x38a21495), - TOBN(0x6be1819d, 0xbcc8ad94), TOBN(0x70dc04f6, 0xd89c3400), - TOBN(0x462557b4, 0xa6b4840a), TOBN(0x544c6ade, 0x60bd21c0), - TOBN(0x6a00f24e, 0x907a544b), TOBN(0xa7520dcb, 0x313da210), - TOBN(0xfe939b75, 0x11e4994b), TOBN(0x918b6ba6, 0xbc275d70), - TOBN(0xd3e5e0fc, 0x644be892), TOBN(0x707a9816, 0xfdaf6c42), - TOBN(0x60145567, 0xf15c13fe), TOBN(0x4818ebaa, 0xe130a54a), - TOBN(0x28aad3ad, 0x58d2f767), TOBN(0xdc5267fd, 0xd7e7c773), - TOBN(0x4919cc88, 0xc3afcc98), TOBN(0xaa2e6ab0, 0x2db8cd4b), - TOBN(0xd46fec04, 0xd0c63eaa), TOBN(0xa1cb92c5, 0x19ffa832), - TOBN(0x678dd178, 0xe43a631f), TOBN(0xfb5ae1cd, 0x3dc788b3), - TOBN(0x68b4fb90, 0x6e77de04), TOBN(0x7992bcf0, 0xf06dbb97), - TOBN(0x896e6a13, 0xc417c01d), TOBN(0x8d96332c, 0xb956be01), - TOBN(0x902fc93a, 0x413aa2b9), TOBN(0x99a4d915, 0xfc98c8a5), - TOBN(0x52c29407, 0x565f1137), TOBN(0x4072690f, 0x21e4f281), - TOBN(0x36e607cf, 0x02ff6072), TOBN(0xa47d2ca9, 0x8ad98cdc), - TOBN(0xbf471d1e, 0xf5f56609), TOBN(0xbcf86623, 0xf264ada0), - TOBN(0xb70c0687, 0xaa9e5cb6), TOBN(0xc98124f2, 0x17401c6c), - TOBN(0x8189635f, 0xd4a61435), TOBN(0xd28fb8af, 0xa9d98ea6), - TOBN(0xb9a67c2a, 0x40c251f8), TOBN(0x88cd5d87, 0xa2da44be), - TOBN(0x437deb96, 0xe09b5423), TOBN(0x150467db, 0x64287dc1), - TOBN(0xe161debb, 0xcdabb839), TOBN(0xa79e9742, 0xf1839a3e), - TOBN(0xbb8dd3c2, 0x652d202b), TOBN(0x7b3e67f7, 0xe9f97d96), - TOBN(0x5aa5d78f, 0xb1cb6ac9), TOBN(0xffa13e8e, 0xca1d0d45), - TOBN(0x369295dd, 0x2ba5bf95), TOBN(0xd68bd1f8, 0x39aff05e), - TOBN(0xaf0d86f9, 0x26d783f2), TOBN(0x543a59b3, 0xfc3aafc1), - TOBN(0x3fcf81d2, 0x7b7da97c), TOBN(0xc990a056, 0xd25dee46), - TOBN(0x3e6775b8, 0x519cce2c), TOBN(0xfc9af71f, 0xae13d863), - TOBN(0x774a4a6f, 0x47c1605c), TOBN(0x46ba4245, 0x2fd205e8), - TOBN(0xa06feea4, 0xd3fd524d), TOBN(0x1e724641, 0x6de1acc2), - TOBN(0xf53816f1, 0x334e2b42), TOBN(0x49e5918e, 0x922f0024), - TOBN(0x439530b6, 0x65c7322d), TOBN(0xcf12cc01, 0xb3c1b3fb), - TOBN(0xc70b0186, 0x0172f685), TOBN(0xb915ee22, 0x1b58391d), - TOBN(0x9afdf03b, 0xa317db24), TOBN(0x87dec659, 0x17b8ffc4), - TOBN(0x7f46597b, 0xe4d3d050), TOBN(0x80a1c1ed, 0x006500e7), - TOBN(0x84902a96, 0x78bf030e), TOBN(0xfb5e9c9a, 0x50560148), - TOBN(0x6dae0a92, 0x63362426), TOBN(0xdcaeecf4, 0xa9e30c40), - TOBN(0xc0d887bb, 0x518d0c6b), TOBN(0x99181152, 0xcb985b9d), - TOBN(0xad186898, 0xef7bc381), TOBN(0x18168ffb, 0x9ee46201), - TOBN(0x9a04cdaa, 0x2502753c), TOBN(0xbb279e26, 0x51407c41), - TOBN(0xeacb03aa, 0xf23564e5), TOBN(0x18336582, 0x71e61016), - TOBN(0x8684b8c4, 0xeb809877), TOBN(0xb336e18d, 0xea0e672e), - TOBN(0xefb601f0, 0x34ee5867), TOBN(0x2733edbe, 0x1341cfd1), - TOBN(0xb15e809a, 0x26025c3c), TOBN(0xe6e981a6, 0x9350df88), - TOBN(0x92376237, 0x8502fd8e), TOBN(0x4791f216, 0x0c12be9b), - TOBN(0xb7256789, 0x25f02425), TOBN(0xec863194, 0x7a974443), - TOBN(0x7c0ce882, 0xfb41cc52), TOBN(0xc266ff7e, 0xf25c07f2), - TOBN(0x3d4da8c3, 0x017025f3), TOBN(0xefcf628c, 0xfb9579b4), - TOBN(0x5c4d0016, 0x1f3716ec), TOBN(0x9c27ebc4, 0x6801116e), - TOBN(0x5eba0ea1, 0x1da1767e), TOBN(0xfe151452, 0x47004c57), - TOBN(0x3ace6df6, 0x8c2373b7), TOBN(0x75c3dffe, 0x5dbc37ac), - TOBN(0x3dc32a73, 0xddc925fc), TOBN(0xb679c841, 0x2f65ee0b), - TOBN(0x715a3295, 0x451cbfeb), TOBN(0xd9889768, 0xf76e9a29), - TOBN(0xec20ce7f, 0xb28ad247), TOBN(0xe99146c4, 0x00894d79), - TOBN(0x71457d7c, 0x9f5e3ea7), TOBN(0x097b2662, 0x38030031), - TOBN(0xdb7f6ae6, 0xcf9f82a8), TOBN(0x319decb9, 0x438f473a), - TOBN(0xa63ab386, 0x283856c3), TOBN(0x13e3172f, 0xb06a361b), - TOBN(0x2959f8dc, 0x7d5a006c), TOBN(0x2dbc27c6, 0x75fba752), - TOBN(0xc1227ab2, 0x87c22c9e), TOBN(0x06f61f75, 0x71a268b2), - TOBN(0x1b6bb971, 0x04779ce2), TOBN(0xaca83812, 0x0aadcb1d), - TOBN(0x297ae0bc, 0xaeaab2d5), TOBN(0xa5c14ee7, 0x5bfb9f13), - TOBN(0xaa00c583, 0xf17a62c7), TOBN(0x39eb962c, 0x173759f6), - TOBN(0x1eeba1d4, 0x86c9a88f), TOBN(0x0ab6c37a, 0xdf016c5e), - TOBN(0xa2a147db, 0xa28a0749), TOBN(0x246c20d6, 0xee519165), - TOBN(0x5068d1b1, 0xd3810715), TOBN(0xb1e7018c, 0x748160b9), - TOBN(0x03f5b1fa, 0xf380ff62), TOBN(0xef7fb1dd, 0xf3cb2c1e), - TOBN(0xeab539a8, 0xfc91a7da), TOBN(0x83ddb707, 0xf3f9b561), - TOBN(0xc550e211, 0xfe7df7a4), TOBN(0xa7cd07f2, 0x063f6f40), - TOBN(0xb0de3635, 0x2976879c), TOBN(0xb5f83f85, 0xe55741da), - TOBN(0x4ea9d25e, 0xf3d8ac3d), TOBN(0x6fe2066f, 0x62819f02), - TOBN(0x4ab2b9c2, 0xcef4a564), TOBN(0x1e155d96, 0x5ffa2de3), - TOBN(0x0eb0a19b, 0xc3a72d00), TOBN(0x4037665b, 0x8513c31b), - TOBN(0x2fb2b6bf, 0x04c64637), TOBN(0x45c34d6e, 0x08cdc639), - TOBN(0x56f1e10f, 0xf01fd796), TOBN(0x4dfb8101, 0xfe3667b8), - TOBN(0xe0eda253, 0x9021d0c0), TOBN(0x7a94e9ff, 0x8a06c6ab), - TOBN(0x2d3bb0d9, 0xbb9aa882), TOBN(0xea20e4e5, 0xec05fd10), - TOBN(0xed7eeb5f, 0x1a1ca64e), TOBN(0x2fa6b43c, 0xc6327cbd), - TOBN(0xb577e3cf, 0x3aa91121), TOBN(0x8c6bd5ea, 0x3a34079b), - TOBN(0xd7e5ba39, 0x60e02fc0), TOBN(0xf16dd2c3, 0x90141bf8), - TOBN(0xb57276d9, 0x80101b98), TOBN(0x760883fd, 0xb82f0f66), - TOBN(0x89d7de75, 0x4bc3eff3), TOBN(0x03b60643, 0x5dc2ab40), - TOBN(0xcd6e53df, 0xe05beeac), TOBN(0xf2f1e862, 0xbc3325cd), - TOBN(0xdd0f7921, 0x774f03c3), TOBN(0x97ca7221, 0x4552cc1b), - TOBN(0x5a0d6afe, 0x1cd19f72), TOBN(0xa20915dc, 0xf183fbeb), - TOBN(0x9fda4b40, 0x832c403c), TOBN(0x32738edd, 0xbe425442), - TOBN(0x469a1df6, 0xb5eccf1a), TOBN(0x4b5aff42, 0x28bbe1f0), - TOBN(0x31359d7f, 0x570dfc93), TOBN(0xa18be235, 0xf0088628), - TOBN(0xa5b30fba, 0xb00ed3a9), TOBN(0x34c61374, 0x73cdf8be), - TOBN(0x2c5c5f46, 0xabc56797), TOBN(0x5cecf93d, 0xb82a8ae2), - TOBN(0x7d3dbe41, 0xa968fbf0), TOBN(0xd23d4583, 0x1a5c7f3d), - TOBN(0xf28f69a0, 0xc087a9c7), TOBN(0xc2d75471, 0x474471ca), - TOBN(0x36ec9f4a, 0x4eb732ec), TOBN(0x6c943bbd, 0xb1ca6bed), - TOBN(0xd64535e1, 0xf2457892), TOBN(0x8b84a8ea, 0xf7e2ac06), - TOBN(0xe0936cd3, 0x2499dd5f), TOBN(0x12053d7e, 0x0ed04e57), - TOBN(0x4bdd0076, 0xe4305d9d), TOBN(0x34a527b9, 0x1f67f0a2), - TOBN(0xe79a4af0, 0x9cec46ea), TOBN(0xb15347a1, 0x658b9bc7), - TOBN(0x6bd2796f, 0x35af2f75), TOBN(0xac957990, 0x4051c435), - TOBN(0x2669dda3, 0xc33a655d), TOBN(0x5d503c2e, 0x88514aa3), - TOBN(0xdfa11337, 0x3753dd41), TOBN(0x3f054673, 0x0b754f78), - TOBN(0xbf185677, 0x496125bd), TOBN(0xfb0023c8, 0x3775006c), - TOBN(0xfa0f072f, 0x3a037899), TOBN(0x4222b6eb, 0x0e4aea57), - TOBN(0x3dde5e76, 0x7866d25a), TOBN(0xb6eb04f8, 0x4837aa6f), - TOBN(0x5315591a, 0x2cf1cdb8), TOBN(0x6dfb4f41, 0x2d4e683c), - TOBN(0x7e923ea4, 0x48ee1f3a), TOBN(0x9604d9f7, 0x05a2afd5), - TOBN(0xbe1d4a33, 0x40ea4948), TOBN(0x5b45f1f4, 0xb44cbd2f), - TOBN(0x5faf8376, 0x4acc757e), TOBN(0xa7cf9ab8, 0x63d68ff7), - TOBN(0x8ad62f69, 0xdf0e404b), TOBN(0xd65f33c2, 0x12bdafdf), - TOBN(0xc365de15, 0xa377b14e), TOBN(0x6bf5463b, 0x8e39f60c), - TOBN(0x62030d2d, 0x2ce68148), TOBN(0xd95867ef, 0xe6f843a8), - TOBN(0xd39a0244, 0xef5ab017), TOBN(0x0bd2d8c1, 0x4ab55d12), - TOBN(0xc9503db3, 0x41639169), TOBN(0x2d4e25b0, 0xf7660c8a), - TOBN(0x760cb3b5, 0xe224c5d7), TOBN(0xfa3baf8c, 0x68616919), - TOBN(0x9fbca113, 0x8d142552), TOBN(0x1ab18bf1, 0x7669ebf5), - TOBN(0x55e6f53e, 0x9bdf25dd), TOBN(0x04cc0bf3, 0xcb6cd154), - TOBN(0x595bef49, 0x95e89080), TOBN(0xfe9459a8, 0x104a9ac1), - TOBN(0xad2d89ca, 0xcce9bb32), TOBN(0xddea65e1, 0xf7de8285), - TOBN(0x62ed8c35, 0xb351bd4b), TOBN(0x4150ff36, 0x0c0e19a7), - TOBN(0x86e3c801, 0x345f4e47), TOBN(0x3bf21f71, 0x203a266c), - TOBN(0x7ae110d4, 0x855b1f13), TOBN(0x5d6aaf6a, 0x07262517), - TOBN(0x1e0f12e1, 0x813d28f1), TOBN(0x6000e11d, 0x7ad7a523), - TOBN(0xc7d8deef, 0xc744a17b), TOBN(0x1e990b48, 0x14c05a00), - TOBN(0x68fddaee, 0x93e976d5), TOBN(0x696241d1, 0x46610d63), - TOBN(0xb204e7c3, 0x893dda88), TOBN(0x8bccfa65, 0x6a3a6946), - TOBN(0xb59425b4, 0xc5cd1411), TOBN(0x701b4042, 0xff3658b1), - TOBN(0xe3e56bca, 0x4784cf93), TOBN(0x27de5f15, 0x8fe68d60), - TOBN(0x4ab9cfce, 0xf8d53f19), TOBN(0xddb10311, 0xa40a730d), - TOBN(0x6fa73cd1, 0x4eee0a8a), TOBN(0xfd548748, 0x5249719d), - 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TOBN(0xb929714c, 0x5f5942bc), TOBN(0x9a6168bd, 0xfa3182ed), - TOBN(0x2216a665, 0x104152ba), TOBN(0x46908d03, 0xb6926368)} - , - {TOBN(0xa9f5d874, 0x5a1251fb), TOBN(0x967747a8, 0xc72725c7), - TOBN(0x195c33e5, 0x31ffe89e), TOBN(0x609d210f, 0xe964935e), - TOBN(0xcafd6ca8, 0x2fe12227), TOBN(0xaf9b5b96, 0x0426469d), - TOBN(0x2e9ee04c, 0x5693183c), TOBN(0x1084a333, 0xc8146fef), - TOBN(0x96649933, 0xaed1d1f7), TOBN(0x566eaff3, 0x50563090), - TOBN(0x345057f0, 0xad2e39cf), TOBN(0x148ff65b, 0x1f832124), - TOBN(0x042e89d4, 0xcf94cf0d), TOBN(0x319bec84, 0x520c58b3), - TOBN(0x2a267626, 0x5361aa0d), TOBN(0xc86fa302, 0x8fbc87ad), - TOBN(0xfc83d2ab, 0x5c8b06d5), TOBN(0xb1a785a2, 0xfe4eac46), - TOBN(0xb99315bc, 0x846f7779), TOBN(0xcf31d816, 0xef9ea505), - TOBN(0x2391fe6a, 0x15d7dc85), TOBN(0x2f132b04, 0xb4016b33), - TOBN(0x29547fe3, 0x181cb4c7), TOBN(0xdb66d8a6, 0x650155a1), - TOBN(0x6b66d7e1, 0xadc1696f), TOBN(0x98ebe593, 0x0acd72d0), - TOBN(0x65f24550, 0xcc1b7435), TOBN(0xce231393, 0xb4b9a5ec), - TOBN(0x234a22d4, 0xdb067df9), TOBN(0x98dda095, 0xcaff9b00), - 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TOBN(0xb68a727a, 0x11c20340), TOBN(0x0386f86f, 0xaf7ccbb6), - TOBN(0x5c8bc6cc, 0xfee09a20), TOBN(0x7d76ff4a, 0xbb7eea35), - TOBN(0xa7bdebe7, 0xdb15be7a), TOBN(0x67a08054, 0xd89f0302), - TOBN(0x56bf0ea9, 0xc1193364), TOBN(0xc8244467, 0x62837ebe), - TOBN(0x32bd8e8b, 0x20d841b8), TOBN(0x127a0548, 0xdbb8a54f), - TOBN(0x83dd4ca6, 0x63b20236), TOBN(0x87714718, 0x203491fa), - TOBN(0x4dabcaaa, 0xaa8a5288), TOBN(0x91cc0c8a, 0xaf23a1c9), - TOBN(0x34c72c6a, 0x3f220e0c), TOBN(0xbcc20bdf, 0x1232144a), - TOBN(0x6e2f42da, 0xa20ede1b), TOBN(0xc441f00c, 0x74a00515), - TOBN(0xbf46a5b6, 0x734b8c4b), TOBN(0x57409503, 0x7b56c9a4), - TOBN(0x9f735261, 0xe4585d45), TOBN(0x9231faed, 0x6734e642), - TOBN(0x1158a176, 0xbe70ee6c), TOBN(0x35f1068d, 0x7c3501bf), - TOBN(0x6beef900, 0xa2d26115), TOBN(0x649406f2, 0xef0afee3), - TOBN(0x3f43a60a, 0xbc2420a1), TOBN(0x509002a7, 0xd5aee4ac), - TOBN(0xb46836a5, 0x3ff3571b), TOBN(0x24f98b78, 0x837927c1), - TOBN(0x6254256a, 0x4533c716), TOBN(0xf27abb0b, 0xd07ee196), - TOBN(0xd7cf64fc, 0x5c6d5bfd), TOBN(0x6915c751, 0xf0cd7a77), - TOBN(0xd9f59012, 0x8798f534), TOBN(0x772b0da8, 0xf81d8b5f), - TOBN(0x1244260c, 0x2e03fa69), TOBN(0x36cf0e3a, 0x3be1a374), - TOBN(0x6e7c1633, 0xef06b960), TOBN(0xa71a4c55, 0x671f90f6), - TOBN(0x7a941251, 0x33c673db), TOBN(0xc0bea510, 0x73e8c131), - TOBN(0x61a8a699, 0xd4f6c734), TOBN(0x25e78c88, 0x341ed001), - TOBN(0x5c18acf8, 0x8e2f7d90), TOBN(0xfdbf33d7, 0x77be32cd), - TOBN(0x0a085cd7, 0xd2eb5ee9), TOBN(0x2d702cfb, 0xb3201115), - TOBN(0xb6e0ebdb, 0x85c88ce8), TOBN(0x23a3ce3c, 0x1e01d617), - TOBN(0x3041618e, 0x567333ac), TOBN(0x9dd0fd8f, 0x157edb6b), - TOBN(0x27f74702, 0xb57872b8), TOBN(0x2ef26b4f, 0x657d5fe1), - TOBN(0x95426f0a, 0x57cf3d40), TOBN(0x847e2ad1, 0x65a6067a), - TOBN(0xd474d9a0, 0x09996a74), TOBN(0x16a56acd, 0x2a26115c), - TOBN(0x02a615c3, 0xd16f4d43), TOBN(0xcc3fc965, 0xaadb85b7), - TOBN(0x386bda73, 0xce07d1b0), TOBN(0xd82910c2, 0x58ad4178), - TOBN(0x124f82cf, 0xcd2617f4), TOBN(0xcc2f5e8d, 0xef691770), - TOBN(0x82702550, 0xb8c30ccc), TOBN(0x7b856aea, 0x1a8e575a), - TOBN(0xbb822fef, 0xb1ab9459), TOBN(0x085928bc, 0xec24e38e), - TOBN(0x5d0402ec, 0xba8f4b4d), TOBN(0xc07cd4ba, 0x00b4d58b), - TOBN(0x5d8dffd5, 0x29227e7a), TOBN(0x61d44d0c, 0x31bf386f), - TOBN(0xe486dc2b, 0x135e6f4d), TOBN(0x680962eb, 0xe79410ef), - TOBN(0xa61bd343, 0xf10088b5), TOBN(0x6aa76076, 0xe2e28686), - TOBN(0x80463d11, 0x8fb98871), TOBN(0xcb26f5c3, 0xbbc76aff), - TOBN(0xd4ab8edd, 0xfbe03614), TOBN(0xc8eb579b, 0xc0cf2dee), - TOBN(0xcc004c15, 0xc93bae41), TOBN(0x46fbae5d, 0x3aeca3b2), - TOBN(0x671235cf, 0x0f1e9ab1), TOBN(0xadfba934, 0x9ec285c1), - TOBN(0x88ded013, 0xf216c980), TOBN(0xc8ac4fb8, 0xf79e0bc1), - TOBN(0xa29b89c6, 0xfb97a237), TOBN(0xb697b780, 0x9922d8e7), - TOBN(0x3142c639, 0xddb945b5), TOBN(0x447b06c7, 0xe094c3a9), - TOBN(0xcdcb3642, 0x72266c90), TOBN(0x633aad08, 0xa9385046), - TOBN(0xa36c936b, 0xb57c6477), TOBN(0x871f8b64, 0xe94dbcc6), - TOBN(0x28d0fb62, 0xa591a67b), TOBN(0x9d40e081, 0xc1d926f5), - TOBN(0x3111eaf6, 0xf2d84b5a), TOBN(0x228993f9, 0xa565b644), - TOBN(0x0ccbf592, 0x2c83188b), TOBN(0xf87b30ab, 0x3df3e197), - TOBN(0xb8658b31, 0x7642bca8), TOBN(0x1a032d7f, 0x52800f17), - TOBN(0x051dcae5, 0x79bf9445), TOBN(0xeba6b8ee, 0x54a2e253), - TOBN(0x5c8b9cad, 0xd4485692), TOBN(0x84bda40e, 0x8986e9be), - TOBN(0xd16d16a4, 0x2f0db448), TOBN(0x8ec80050, 0xa14d4188), - TOBN(0xb2b26107, 0x98fa7aaa), TOBN(0x41209ee4, 0xf073aa4e), - TOBN(0xf1570359, 0xf2d6b19b), TOBN(0xcbe6868c, 0xfc577caf), - TOBN(0x186c4bdc, 0x32c04dd3), TOBN(0xa6c35fae, 0xcfeee397), - TOBN(0xb4a1b312, 0xf086c0cf), TOBN(0xe0a5ccc6, 0xd9461fe2), - TOBN(0xc32278aa, 0x1536189f), TOBN(0x1126c55f, 0xba6df571), - TOBN(0x0f71a602, 0xb194560e), TOBN(0x8b2d7405, 0x324bd6e1), - TOBN(0x8481939e, 0x3738be71), TOBN(0xb5090b1a, 0x1a4d97a9), - TOBN(0x116c65a3, 0xf05ba915), TOBN(0x21863ad3, 0xaae448aa), - TOBN(0xd24e2679, 0xa7aae5d3), TOBN(0x7076013d, 0x0de5c1c4), - TOBN(0x2d50f8ba, 0xbb05b629), TOBN(0x73c1abe2, 0x6e66efbb), - TOBN(0xefd4b422, 0xf2488af7), TOBN(0xe4105d02, 0x663ba575), - TOBN(0x7eb60a8b, 0x53a69457), TOBN(0x62210008, 0xc945973b), - TOBN(0xfb255478, 0x77a50ec6), TOBN(0xbf0392f7, 0x0a37a72c), - TOBN(0xa0a7a19c, 0x4be18e7a), TOBN(0x90d8ea16, 0x25b1e0af), - 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TOBN(0x8312e435, 0x9c8f8f28), TOBN(0x8107f8cd, 0x81965490), - TOBN(0x516ff3a3, 0x6fa6110c), TOBN(0x74fb1eb1, 0xfb93561f), - TOBN(0x6c0c9047, 0x8457522b), TOBN(0xcfd32104, 0x6bb8bdc6), - TOBN(0x2d6884a2, 0xcc80ad57), TOBN(0x7c27fc35, 0x86a9b637), - TOBN(0x3461baed, 0xadf4e8cd), TOBN(0x1d56251a, 0x617242f0), - TOBN(0x0b80d209, 0xc955bef4), TOBN(0xdf02cad2, 0x06adb047), - TOBN(0xf0d7cb91, 0x5ec74fee), TOBN(0xd2503375, 0x1111ba44), - TOBN(0x9671755e, 0xdf53cb36), TOBN(0x54dcb612, 0x3368551b), - TOBN(0x66d69aac, 0xc8a025a4), TOBN(0x6be946c6, 0xe77ef445), - TOBN(0x719946d1, 0xa995e094), TOBN(0x65e848f6, 0xe51e04d8), - TOBN(0xe62f3300, 0x6a1e3113), TOBN(0x1541c7c1, 0x501de503), - TOBN(0x4daac9fa, 0xf4acfade), TOBN(0x0e585897, 0x44cd0b71), - TOBN(0x544fd869, 0x0a51cd77), TOBN(0x60fc20ed, 0x0031016d), - TOBN(0x58b404ec, 0xa4276867), TOBN(0x46f6c3cc, 0x34f34993), - TOBN(0x477ca007, 0xc636e5bd), TOBN(0x8018f5e5, 0x7c458b47), - TOBN(0xa1202270, 0xe47b668f), TOBN(0xcef48ccd, 0xee14f203), - TOBN(0x23f98bae, 0x62ff9b4d), TOBN(0x55acc035, 0xc589eddd), - TOBN(0x3fe712af, 0x64db4444), TOBN(0x19e9d634, 0xbecdd480), - TOBN(0xe08bc047, 0xa930978a), TOBN(0x2dbf24ec, 0xa1280733), - TOBN(0x3c0ae38c, 0x2cd706b2), TOBN(0x5b012a5b, 0x359017b9), - TOBN(0x3943c38c, 0x72e0f5ae), TOBN(0x786167ea, 0x57176fa3), - TOBN(0xe5f9897d, 0x594881dc), TOBN(0x6b5efad8, 0xcfb820c1), - TOBN(0xb2179093, 0xd55018de), TOBN(0x39ad7d32, 0x0bac56ce), - TOBN(0xb55122e0, 0x2cfc0e81), TOBN(0x117c4661, 0xf6d89daa), - TOBN(0x362d01e1, 0xcb64fa09), TOBN(0x6a309b4e, 0x3e9c4ddd), - TOBN(0xfa979fb7, 0xabea49b1), TOBN(0xb4b1d27d, 0x10e2c6c5), - TOBN(0xbd61c2c4, 0x23afde7a), TOBN(0xeb6614f8, 0x9786d358), - TOBN(0x4a5d816b, 0x7f6f7459), TOBN(0xe431a44f, 0x09360e7b), - TOBN(0x8c27a032, 0xc309914c), TOBN(0xcea5d68a, 0xcaede3d8), - TOBN(0x3668f665, 0x3a0a3f95), TOBN(0x89369416, 0x7ceba27b), - TOBN(0x89981fad, 0xe4728fe9), TOBN(0x7102c8a0, 0x8a093562), - TOBN(0xbb80310e, 0x235d21c8), TOBN(0x505e55d1, 0xbefb7f7b), - TOBN(0xa0a90811, 0x12958a67), TOBN(0xd67e106a, 0x4d851fef), - TOBN(0xb84011a9, 0x431dd80e), TOBN(0xeb7c7cca, 0x73306cd9), - TOBN(0x20fadd29, 0xd1b3b730), TOBN(0x83858b5b, 0xfe37b3d3), - TOBN(0xbf4cd193, 0xb6251d5c), TOBN(0x1cca1fd3, 0x1352d952), - TOBN(0xc66157a4, 0x90fbc051), TOBN(0x7990a638, 0x89b98636),} - , - {TOBN(0xe5aa692a, 0x87dec0e1), TOBN(0x010ded8d, 0xf7b39d00), - TOBN(0x7b1b80c8, 0x54cfa0b5), TOBN(0x66beb876, 0xa0f8ea28), - TOBN(0x50d7f531, 0x3476cd0e), TOBN(0xa63d0e65, 0xb08d3949), - TOBN(0x1a09eea9, 0x53479fc6), TOBN(0x82ae9891, 0xf499e742), - TOBN(0xab58b910, 0x5ca7d866), TOBN(0x582967e2, 0x3adb3b34), - TOBN(0x89ae4447, 0xcceac0bc), TOBN(0x919c667c, 0x7bf56af5), - TOBN(0x9aec17b1, 0x60f5dcd7), TOBN(0xec697b9f, 0xddcaadbc), - TOBN(0x0b98f341, 0x463467f5), TOBN(0xb187f1f7, 0xa967132f), - TOBN(0x90fe7a1d, 0x214aeb18), TOBN(0x1506af3c, 0x741432f7), - TOBN(0xbb5565f9, 0xe591a0c4), TOBN(0x10d41a77, 0xb44f1bc3), - TOBN(0xa09d65e4, 0xa84bde96), TOBN(0x42f060d8, 0xf20a6a1c), - TOBN(0x652a3bfd, 0xf27f9ce7), TOBN(0xb6bdb65c, 0x3b3d739f), - TOBN(0xeb5ddcb6, 0xec7fae9f), TOBN(0x995f2714, 0xefb66e5a), - TOBN(0xdee95d8e, 0x69445d52), TOBN(0x1b6c2d46, 0x09e27620), - TOBN(0x32621c31, 0x8129d716), TOBN(0xb03909f1, 0x0958c1aa), - TOBN(0x8c468ef9, 0x1af4af63), TOBN(0x162c429f, 0xfba5cdf6), - TOBN(0x2f682343, 0x753b9371), TOBN(0x29cab45a, 0x5f1f9cd7), - TOBN(0x571623ab, 0xb245db96), TOBN(0xc507db09, 0x3fd79999), - TOBN(0x4e2ef652, 0xaf036c32), TOBN(0x86f0cc78, 0x05018e5c), - TOBN(0xc10a73d4, 0xab8be350), TOBN(0x6519b397, 0x7e826327), - TOBN(0xe8cb5eef, 0x9c053df7), TOBN(0x8de25b37, 0xb300ea6f), - TOBN(0xdb03fa92, 0xc849cffb), TOBN(0x242e43a7, 0xe84169bb), - TOBN(0xe4fa51f4, 0xdd6f958e), TOBN(0x6925a77f, 0xf4445a8d), - TOBN(0xe6e72a50, 0xe90d8949), TOBN(0xc66648e3, 0x2b1f6390), - TOBN(0xb2ab1957, 0x173e460c), TOBN(0x1bbbce75, 0x30704590), - TOBN(0xc0a90dbd, 0xdb1c7162), TOBN(0x505e399e, 0x15cdd65d), - TOBN(0x68434dcb, 0x57797ab7), TOBN(0x60ad35ba, 0x6a2ca8e8), - TOBN(0x4bfdb1e0, 0xde3336c1), TOBN(0xbbef99eb, 0xd8b39015), - TOBN(0x6c3b96f3, 0x1711ebec), TOBN(0x2da40f1f, 0xce98fdc4), - TOBN(0xb99774d3, 0x57b4411f), TOBN(0x87c8bdf4, 0x15b65bb6), - TOBN(0xda3a89e3, 0xc2eef12d), TOBN(0xde95bb9b, 0x3c7471f3), - TOBN(0x600f225b, 0xd812c594), TOBN(0x54907c5d, 0x2b75a56b), - TOBN(0xa93cc5f0, 0x8db60e35), TOBN(0x743e3cd6, 0xfa833319), - TOBN(0x7dad5c41, 0xf81683c9), TOBN(0x70c1e7d9, 0x9c34107e), - TOBN(0x0edc4a39, 0xa6be0907), TOBN(0x36d47035, 0x86d0b7d3), - TOBN(0x8c76da03, 0x272bfa60), TOBN(0x0b4a07ea, 0x0f08a414), - TOBN(0x699e4d29, 0x45c1dd53), TOBN(0xcadc5898, 0x231debb5), - TOBN(0xdf49fcc7, 0xa77f00e0), TOBN(0x93057bbf, 0xa73e5a0e), - TOBN(0x2f8b7ecd, 0x027a4cd1), TOBN(0x114734b3, 0xc614011a), - TOBN(0xe7a01db7, 0x67677c68), TOBN(0x89d9be5e, 0x7e273f4f), - TOBN(0xd225cb2e, 0x089808ef), TOBN(0xf1f7a27d, 0xd59e4107), - TOBN(0x53afc761, 0x8211b9c9), TOBN(0x0361bc67, 0xe6819159), - TOBN(0x2a865d0b, 0x7f071426), TOBN(0x6a3c1810, 0xe7072567), - TOBN(0x3e3bca1e, 0x0d6bcabd), TOBN(0xa1b02bc1, 0x408591bc), - TOBN(0xe0deee59, 0x31fba239), TOBN(0xf47424d3, 0x98bd91d1), - TOBN(0x0f8886f4, 0x071a3c1d), TOBN(0x3f7d41e8, 0xa819233b), - TOBN(0x708623c2, 0xcf6eb998), TOBN(0x86bb49af, 0x609a287f), - TOBN(0x942bb249, 0x63c90762), TOBN(0x0ef6eea5, 0x55a9654b), - TOBN(0x5f6d2d72, 0x36f5defe), TOBN(0xfa9922dc, 0x56f99176), - TOBN(0x6c8c5ece, 0xf78ce0c7), TOBN(0x7b44589d, 0xbe09b55e), - TOBN(0xe11b3bca, 0x9ea83770), TOBN(0xd7fa2c7f, 0x2ab71547), - TOBN(0x2a3dd6fa, 0x2a1ddcc0), TOBN(0x09acb430, 0x5a7b7707), - TOBN(0x4add4a2e, 0x649d4e57), TOBN(0xcd53a2b0, 0x1917526e), - TOBN(0xc5262330, 0x20b44ac4), TOBN(0x4028746a, 0xbaa2c31d), - TOBN(0x51318390, 0x64291d4c), TOBN(0xbf48f151, 0xee5ad909), - TOBN(0xcce57f59, 0x7b185681), TOBN(0x7c3ac1b0, 0x4854d442), - TOBN(0x65587dc3, 0xc093c171), TOBN(0xae7acb24, 0x24f42b65), - TOBN(0x5a338adb, 0x955996cb), TOBN(0xc8e65675, 0x6051f91b), - TOBN(0x66711fba, 0x28b8d0b1), TOBN(0x15d74137, 0xb6c10a90), - TOBN(0x70cdd7eb, 0x3a232a80), TOBN(0xc9e2f07f, 0x6191ed24), - TOBN(0xa80d1db6, 0xf79588c0), TOBN(0xfa52fc69, 0xb55768cc), - TOBN(0x0b4df1ae, 0x7f54438a), TOBN(0x0cadd1a7, 0xf9b46a4f), - TOBN(0xb40ea6b3, 0x1803dd6f), TOBN(0x488e4fa5, 0x55eaae35), - TOBN(0x9f047d55, 0x382e4e16), TOBN(0xc9b5b7e0, 0x2f6e0c98), - TOBN(0x6b1bd2d3, 0x95762649), TOBN(0xa9604ee7, 0xc7aea3f6), - TOBN(0x3646ff27, 0x6dc6f896), TOBN(0x9bf0e7f5, 0x2860bad1), - TOBN(0x2d92c821, 0x7cb44b92), TOBN(0xa2f5ce63, 0xaea9c182), - TOBN(0xd0a2afb1, 0x9154a5fd), TOBN(0x482e474c, 0x95801da6), - TOBN(0xc19972d0, 0xb611c24b), TOBN(0x1d468e65, 0x60a8f351), - TOBN(0xeb758069, 0x7bcf6421), TOBN(0xec9dd0ee, 0x88fbc491), - TOBN(0x5b59d2bf, 0x956c2e32), TOBN(0x73dc6864, 0xdcddf94e), - TOBN(0xfd5e2321, 0xbcee7665), TOBN(0xa7b4f8ef, 0x5e9a06c4), - TOBN(0xfba918dd, 0x7280f855), TOBN(0xbbaac260, 0x8baec688), - TOBN(0xa3b3f00f, 0x33400f42), TOBN(0x3d2dba29, 0x66f2e6e4), - TOBN(0xb6f71a94, 0x98509375), TOBN(0x8f33031f, 0xcea423cc), - TOBN(0x009b8dd0, 0x4807e6fb), TOBN(0x5163cfe5, 0x5cdb954c), - TOBN(0x03cc8f17, 0xcf41c6e8), TOBN(0xf1f03c2a, 0x037b925c), - TOBN(0xc39c19cc, 0x66d2427c), TOBN(0x823d24ba, 0x7b6c18e4), - TOBN(0x32ef9013, 0x901f0b4f), TOBN(0x684360f1, 0xf8941c2e), - TOBN(0x0ebaff52, 0x2c28092e), TOBN(0x7891e4e3, 0x256c932f), - TOBN(0x51264319, 0xac445e3d), TOBN(0x553432e7, 0x8ea74381), - TOBN(0xe6eeaa69, 0x67e9c50a), TOBN(0x27ced284, 0x62e628c7), - TOBN(0x3f96d375, 0x7a4afa57), TOBN(0xde0a14c3, 0xe484c150), - TOBN(0x364a24eb, 0x38bd9923), TOBN(0x1df18da0, 0xe5177422), - TOBN(0x174e8f82, 0xd8d38a9b), TOBN(0x2e97c600, 0xe7de1391), - TOBN(0xc5709850, 0xa1c175dd), TOBN(0x969041a0, 0x32ae5035), - TOBN(0xcbfd533b, 0x76a2086b), TOBN(0xd6bba71b, 0xd7c2e8fe), - TOBN(0xb2d58ee6, 0x099dfb67), TOBN(0x3a8b342d, 0x064a85d9), - TOBN(0x3bc07649, 0x522f9be3), TOBN(0x690c075b, 0xdf1f49a8), - TOBN(0x80e1aee8, 0x3854ec42), TOBN(0x2a7dbf44, 0x17689dc7), - TOBN(0xc004fc0e, 0x3faf4078), TOBN(0xb2f02e9e, 0xdf11862c), - TOBN(0xf10a5e0f, 0xa0a1b7b3), TOBN(0x30aca623, 0x8936ec80), - TOBN(0xf83cbf05, 0x02f40d9a), TOBN(0x4681c468, 0x2c318a4d), - TOBN(0x98575618, 0x0e9c2674), TOBN(0xbe79d046, 0x1847092e), - TOBN(0xaf1e480a, 0x78bd01e0), TOBN(0x6dd359e4, 0x72a51db9), - TOBN(0x62ce3821, 0xe3afbab6), TOBN(0xc5cee5b6, 0x17733199), - TOBN(0xe08b30d4, 0x6ffd9fbb), TOBN(0x6e5bc699, 0x36c610b7), - TOBN(0xf343cff2, 0x9ce262cf), TOBN(0xca2e4e35, 0x68b914c1), - TOBN(0x011d64c0, 0x16de36c5), TOBN(0xe0b10fdd, 0x42e2b829), - TOBN(0x78942981, 0x6685aaf8), TOBN(0xe7511708, 0x230ede97), - TOBN(0x671ed8fc, 0x3b922bf8), TOBN(0xe4d8c0a0, 0x4c29b133), - TOBN(0x87eb1239, 0x3b6e99c4), TOBN(0xaff3974c, 0x8793beba), - TOBN(0x03749405, 0x2c18df9b), TOBN(0xc5c3a293, 0x91007139), - TOBN(0x6a77234f, 0xe37a0b95), TOBN(0x02c29a21, 0xb661c96b), - TOBN(0xc3aaf1d6, 0x141ecf61), TOBN(0x9195509e, 0x3bb22f53), - TOBN(0x29597404, 0x22d51357), TOBN(0x1b083822, 0x537bed60), - TOBN(0xcd7d6e35, 0xe07289f0), TOBN(0x1f94c48c, 0x6dd86eff), - TOBN(0xc8bb1f82, 0xeb0f9cfa), TOBN(0x9ee0b7e6, 0x1b2eb97d), - TOBN(0x5a52fe2e, 0x34d74e31), TOBN(0xa352c310, 0x3bf79ab6), - TOBN(0x97ff6c5a, 0xabfeeb8f), TOBN(0xbfbe8fef, 0xf5c97305), - TOBN(0xd6081ce6, 0xa7904608), TOBN(0x1f812f3a, 0xc4fca249), - TOBN(0x9b24bc9a, 0xb9e5e200), TOBN(0x91022c67, 0x38012ee8), - TOBN(0xe83d9c5d, 0x30a713a1), TOBN(0x4876e3f0, 0x84ef0f93), - TOBN(0xc9777029, 0xc1fbf928), TOBN(0xef7a6bb3, 0xbce7d2a4), - TOBN(0xb8067228, 0xdfa2a659), TOBN(0xd5cd3398, 0xd877a48f), - TOBN(0xbea4fd8f, 0x025d0f3f), TOBN(0xd67d2e35, 0x2eae7c2b), - TOBN(0x184de7d7, 0xcc5f4394), TOBN(0xb5551b5c, 0x4536e142), - TOBN(0x2e89b212, 0xd34aa60a), TOBN(0x14a96fea, 0xf50051d5), - TOBN(0x4e21ef74, 0x0d12bb0b), TOBN(0xc522f020, 0x60b9677e), - TOBN(0x8b12e467, 0x2df7731d), TOBN(0x39f80382, 0x7b326d31), - TOBN(0xdfb8630c, 0x39024a94), TOBN(0xaacb96a8, 0x97319452), - TOBN(0xd68a3961, 0xeda3867c), TOBN(0x0c58e2b0, 0x77c4ffca), - TOBN(0x3d545d63, 0x4da919fa), TOBN(0xef79b69a, 0xf15e2289), - TOBN(0x54bc3d3d, 0x808bab10), TOBN(0xc8ab3007, 0x45f82c37), - TOBN(0xc12738b6, 0x7c4a658a), TOBN(0xb3c47639, 0x40e72182), - TOBN(0x3b77be46, 0x8798e44f), TOBN(0xdc047df2, 0x17a7f85f), - TOBN(0x2439d4c5, 0x5e59d92d), TOBN(0xcedca475, 0xe8e64d8d), - TOBN(0xa724cd0d, 0x87ca9b16), TOBN(0x35e4fd59, 0xa5540dfe), - TOBN(0xf8c1ff18, 0xe4bcf6b1), TOBN(0x856d6285, 0x295018fa), - TOBN(0x433f665c, 0x3263c949), TOBN(0xa6a76dd6, 0xa1f21409), - TOBN(0x17d32334, 0xcc7b4f79), TOBN(0xa1d03122, 0x06720e4a), - TOBN(0xadb6661d, 0x81d9bed5), TOBN(0xf0d6fb02, 0x11db15d1), - TOBN(0x7fd11ad5, 0x1fb747d2), TOBN(0xab50f959, 0x3033762b), - TOBN(0x2a7e711b, 0xfbefaf5a), TOBN(0xc7393278, 0x3fef2bbf), - TOBN(0xe29fa244, 0x0df6f9be), TOBN(0x9092757b, 0x71efd215), - TOBN(0xee60e311, 0x4f3d6fd9), TOBN(0x338542d4, 0x0acfb78b), - TOBN(0x44a23f08, 0x38961a0f), TOBN(0x1426eade, 0x986987ca), - TOBN(0x36e6ee2e, 0x4a863cc6), TOBN(0x48059420, 0x628b8b79), - TOBN(0x30303ad8, 0x7396e1de), TOBN(0x5c8bdc48, 0x38c5aad1), - TOBN(0x3e40e11f, 0x5c8f5066), TOBN(0xabd6e768, 0x8d246bbd), - TOBN(0x68aa40bb, 0x23330a01), TOBN(0xd23f5ee4, 0xc34eafa0), - TOBN(0x3bbee315, 0x5de02c21), TOBN(0x18dd4397, 0xd1d8dd06), - TOBN(0x3ba1939a, 0x122d7b44), TOBN(0xe6d3b40a, 0xa33870d6), - TOBN(0x8e620f70, 0x1c4fe3f8), TOBN(0xf6bba1a5, 0xd3a50cbf), - TOBN(0x4a78bde5, 0xcfc0aee0), TOBN(0x847edc46, 0xc08c50bd), - TOBN(0xbaa2439c, 0xad63c9b2), TOBN(0xceb4a728, 0x10fc2acb), - TOBN(0xa419e40e, 0x26da033d), TOBN(0x6cc3889d, 0x03e02683), - TOBN(0x1cd28559, 0xfdccf725), TOBN(0x0fd7e0f1, 0x8d13d208), - TOBN(0x01b9733b, 0x1f0df9d4), TOBN(0x8cc2c5f3, 0xa2b5e4f3), - TOBN(0x43053bfa, 0x3a304fd4), TOBN(0x8e87665c, 0x0a9f1aa7), - TOBN(0x087f29ec, 0xd73dc965), TOBN(0x15ace455, 0x3e9023db), - TOBN(0x2370e309, 0x2bce28b4), TOBN(0xf9723442, 0xb6b1e84a), - TOBN(0xbeee662e, 0xb72d9f26), TOBN(0xb19396de, 0xf0e47109), - TOBN(0x85b1fa73, 0xe13289d0), TOBN(0x436cf77e, 0x54e58e32), - TOBN(0x0ec833b3, 0xe990ef77), TOBN(0x7373e3ed, 0x1b11fc25), - TOBN(0xbe0eda87, 0x0fc332ce), TOBN(0xced04970, 0x8d7ea856), - TOBN(0xf85ff785, 0x7e977ca0), TOBN(0xb66ee8da, 0xdfdd5d2b), - TOBN(0xf5e37950, 0x905af461), TOBN(0x587b9090, 0x966d487c), - TOBN(0x6a198a1b, 0x32ba0127), TOBN(0xa7720e07, 0x141615ac), - TOBN(0xa23f3499, 0x996ef2f2), TOBN(0xef5f64b4, 0x470bcb3d), - TOBN(0xa526a962, 0x92b8c559), TOBN(0x0c14aac0, 0x69740a0f), - TOBN(0x0d41a9e3, 0xa6bdc0a5), TOBN(0x97d52106, 0x9c48aef4), - TOBN(0xcf16bd30, 0x3e7c253b), TOBN(0xcc834b1a, 0x47fdedc1), - TOBN(0x7362c6e5, 0x373aab2e), TOBN(0x264ed85e, 0xc5f590ff), - TOBN(0x7a46d9c0, 0x66d41870), TOBN(0xa50c20b1, 0x4787ba09), - TOBN(0x185e7e51, 0xe3d44635), TOBN(0xb3b3e080, 0x31e2d8dc), - TOBN(0xbed1e558, 0xa179e9d9), TOBN(0x2daa3f79, 0x74a76781), - TOBN(0x4372baf2, 0x3a40864f), TOBN(0x46900c54, 0x4fe75cb5), - TOBN(0xb95f171e, 0xf76765d0), TOBN(0x4ad726d2, 0x95c87502), - TOBN(0x2ec769da, 0x4d7c99bd), TOBN(0x5e2ddd19, 0xc36cdfa8), - TOBN(0xc22117fc, 0xa93e6dea), TOBN(0xe8a2583b, 0x93771123), - TOBN(0xbe2f6089, 0xfa08a3a2), TOBN(0x4809d5ed, 0x8f0e1112), - TOBN(0x3b414aa3, 0xda7a095e), TOBN(0x9049acf1, 0x26f5aadd), - TOBN(0x78d46a4d, 0x6be8b84a), TOBN(0xd66b1963, 0xb732b9b3), - TOBN(0x5c2ac2a0, 0xde6e9555), TOBN(0xcf52d098, 0xb5bd8770), - TOBN(0x15a15fa6, 0x0fd28921), TOBN(0x56ccb81e, 0x8b27536d), - TOBN(0x0f0d8ab8, 0x9f4ccbb8), TOBN(0xed5f44d2, 0xdb221729), - TOBN(0x43141988, 0x00bed10c), TOBN(0xc94348a4, 0x1d735b8b), - TOBN(0x79f3e9c4, 0x29ef8479), TOBN(0x4c13a4e3, 0x614c693f), - TOBN(0x32c9af56, 0x8e143a14), TOBN(0xbc517799, 0xe29ac5c4), - TOBN(0x05e17992, 0x2774856f), TOBN(0x6e52fb05, 0x6c1bf55f), - TOBN(0xaeda4225, 0xe4f19e16), TOBN(0x70f4728a, 0xaf5ccb26), - TOBN(0x5d2118d1, 0xb2947f22), TOBN(0xc827ea16, 0x281d6fb9), - TOBN(0x8412328d, 0x8cf0eabd), TOBN(0x45ee9fb2, 0x03ef9dcf), - TOBN(0x8e700421, 0xbb937d63), TOBN(0xdf8ff2d5, 0xcc4b37a6), - TOBN(0xa4c0d5b2, 0x5ced7b68), TOBN(0x6537c1ef, 0xc7308f59), - TOBN(0x25ce6a26, 0x3b37f8e8), TOBN(0x170e9a9b, 0xdeebc6ce), - TOBN(0xdd037952, 0x8728d72c), TOBN(0x445b0e55, 0x850154bc), - TOBN(0x4b7d0e06, 0x83a7337b), TOBN(0x1e3416d4, 0xffecf249), - TOBN(0x24840eff, 0x66a2b71f), TOBN(0xd0d9a50a, 0xb37cc26d), - TOBN(0xe2198150, 0x6fe28ef7), TOBN(0x3cc5ef16, 0x23324c7f), - TOBN(0x220f3455, 0x769b5263), TOBN(0xe2ade2f1, 0xa10bf475), - TOBN(0x28cd20fa, 0x458d3671), TOBN(0x1549722c, 0x2dc4847b), - TOBN(0x6dd01e55, 0x591941e3), TOBN(0x0e6fbcea, 0x27128ccb), - TOBN(0xae1a1e6b, 0x3bef0262), TOBN(0xfa8c472c, 0x8f54e103), - TOBN(0x7539c0a8, 0x72c052ec), TOBN(0xd7b27369, 0x5a3490e9), - TOBN(0x143fe1f1, 0x71684349), TOBN(0x36b4722e, 0x32e19b97), - TOBN(0xdc059227, 0x90980aff), TOBN(0x175c9c88, 0x9e13d674), - TOBN(0xa7de5b22, 0x6e6bfdb1), TOBN(0x5ea5b7b2, 0xbedb4b46), - TOBN(0xd5570191, 0xd34a6e44), TOBN(0xfcf60d2e, 0xa24ff7e6), - TOBN(0x614a392d, 0x677819e1), TOBN(0x7be74c7e, 0xaa5a29e8), - TOBN(0xab50fece, 0x63c85f3f), TOBN(0xaca2e2a9, 0x46cab337), - TOBN(0x7f700388, 0x122a6fe3), TOBN(0xdb69f703, 0x882a04a8), - TOBN(0x9a77935d, 0xcf7aed57), TOBN(0xdf16207c, 0x8d91c86f), - TOBN(0x2fca49ab, 0x63ed9998), TOBN(0xa3125c44, 0xa77ddf96), - TOBN(0x05dd8a86, 0x24344072), TOBN(0xa023dda2, 0xfec3fb56), - TOBN(0x421b41fc, 0x0c743032), TOBN(0x4f2120c1, 0x5e438639), - TOBN(0xfb7cae51, 0xc83c1b07), TOBN(0xb2370caa, 0xcac2171a), - TOBN(0x2eb2d962, 0x6cc820fb), TOBN(0x59feee5c, 0xb85a44bf), - TOBN(0x94620fca, 0x5b6598f0), TOBN(0x6b922cae, 0x7e314051), - TOBN(0xff8745ad, 0x106bed4e), TOBN(0x546e71f5, 0xdfa1e9ab), - TOBN(0x935c1e48, 0x1ec29487), TOBN(0x9509216c, 0x4d936530), - TOBN(0xc7ca3067, 0x85c9a2db), TOBN(0xd6ae5152, 0x6be8606f), - TOBN(0x09dbcae6, 0xe14c651d), TOBN(0xc9536e23, 0x9bc32f96), - TOBN(0xa90535a9, 0x34521b03), TOBN(0xf39c526c, 0x878756ff), - TOBN(0x383172ec, 0x8aedf03c), TOBN(0x20a8075e, 0xefe0c034), - TOBN(0xf22f9c62, 0x64026422), TOBN(0x8dd10780, 0x24b9d076), - TOBN(0x944c742a, 0x3bef2950), TOBN(0x55b9502e, 0x88a2b00b), - TOBN(0xa59e14b4, 0x86a09817), TOBN(0xa39dd3ac, 0x47bb4071), - TOBN(0x55137f66, 0x3be0592f), TOBN(0x07fcafd4, 0xc9e63f5b), - TOBN(0x963652ee, 0x346eb226), TOBN(0x7dfab085, 0xec2facb7), - TOBN(0x273bf2b8, 0x691add26), TOBN(0x30d74540, 0xf2b46c44), - TOBN(0x05e8e73e, 0xf2c2d065), TOBN(0xff9b8a00, 0xd42eeac9), - TOBN(0x2fcbd205, 0x97209d22), TOBN(0xeb740ffa, 0xde14ea2c), - TOBN(0xc71ff913, 0xa8aef518), TOBN(0x7bfc74bb, 0xfff4cfa2), - TOBN(0x1716680c, 0xb6b36048), TOBN(0x121b2cce, 0x9ef79af1), - TOBN(0xbff3c836, 0xa01eb3d3), TOBN(0x50eb1c6a, 0x5f79077b), - TOBN(0xa48c32d6, 0xa004bbcf), TOBN(0x47a59316, 0x7d64f61d), - TOBN(0x6068147f, 0x93102016), TOBN(0x12c5f654, 0x94d12576), - TOBN(0xefb071a7, 0xc9bc6b91), TOBN(0x7c2da0c5, 0x6e23ea95), - TOBN(0xf4fd45b6, 0xd4a1dd5d), TOBN(0x3e7ad9b6, 0x9122b13c), - TOBN(0x342ca118, 0xe6f57a48), TOBN(0x1c2e94a7, 0x06f8288f), - TOBN(0x99e68f07, 0x5a97d231), TOBN(0x7c80de97, 0x4d838758), - TOBN(0xbce0f5d0, 0x05872727), TOBN(0xbe5d95c2, 0x19c4d016), - TOBN(0x921d5cb1, 0x9c2492ee), TOBN(0x42192dc1, 0x404d6fb3), - TOBN(0x4c84dcd1, 0x32f988d3), TOBN(0xde26d61f, 0xa17b8e85), - TOBN(0xc466dcb6, 0x137c7408), TOBN(0x9a38d7b6, 0x36a266da), - TOBN(0x7ef5cb06, 0x83bebf1b), TOBN(0xe5cdcbbf, 0x0fd014e3), - TOBN(0x30aa376d, 0xf65965a0), TOBN(0x60fe88c2, 0xebb3e95e), - TOBN(0x33fd0b61, 0x66ee6f20), TOBN(0x8827dcdb, 0x3f41f0a0), - TOBN(0xbf8a9d24, 0x0c56c690), TOBN(0x40265dad, 0xddb7641d), - TOBN(0x522b05bf, 0x3a6b662b), TOBN(0x466d1dfe, 0xb1478c9b), - TOBN(0xaa616962, 0x1484469b), TOBN(0x0db60549, 0x02df8f9f), - TOBN(0xc37bca02, 0x3cb8bf51), TOBN(0x5effe346, 0x21371ce8), - TOBN(0xe8f65264, 0xff112c32), TOBN(0x8a9c736d, 0x7b971fb2), - TOBN(0xa4f19470, 0x7b75080d), TOBN(0xfc3f2c5a, 0x8839c59b), - TOBN(0x1d6c777e, 0x5aeb49c2), TOBN(0xf3db034d, 0xda1addfe), - TOBN(0xd76fee5a, 0x5535affc), TOBN(0x0853ac70, 0xb92251fd), - TOBN(0x37e3d594, 0x8b2a29d5), TOBN(0x28f1f457, 0x4de00ddb), - TOBN(0x8083c1b5, 0xf42c328b), TOBN(0xd8ef1d8f, 0xe493c73b), - TOBN(0x96fb6260, 0x41dc61bd), TOBN(0xf74e8a9d, 0x27ee2f8a), - TOBN(0x7c605a80, 0x2c946a5d), TOBN(0xeed48d65, 0x3839ccfd), - TOBN(0x9894344f, 0x3a29467a), TOBN(0xde81e949, 0xc51eba6d), - TOBN(0xdaea066b, 0xa5e5c2f2), TOBN(0x3fc8a614, 0x08c8c7b3), - TOBN(0x7adff88f, 0x06d0de9f), TOBN(0xbbc11cf5, 0x3b75ce0a), - TOBN(0x9fbb7acc, 0xfbbc87d5), TOBN(0xa1458e26, 0x7badfde2)} - , - {TOBN(0x1cb43668, 0xe039c256), TOBN(0x5f26fb8b, 0x7c17fd5d), - TOBN(0xeee426af, 0x79aa062b), TOBN(0x072002d0, 0xd78fbf04), - TOBN(0x4c9ca237, 0xe84fb7e3), TOBN(0xb401d8a1, 0x0c82133d), - TOBN(0xaaa52592, 0x6d7e4181), TOBN(0xe9430833, 0x73dbb152), - TOBN(0xf92dda31, 0xbe24319a), TOBN(0x03f7d28b, 0xe095a8e7), - TOBN(0xa52fe840, 0x98782185), TOBN(0x276ddafe, 0x29c24dbc), - TOBN(0x80cd5496, 0x1d7a64eb), TOBN(0xe4360889, 0x7f1dbe42), - TOBN(0x2f81a877, 0x8438d2d5), TOBN(0x7e4d52a8, 0x85169036), - TOBN(0x19e3d5b1, 0x1d59715d), TOBN(0xc7eaa762, 0xd788983e), - TOBN(0xe5a730b0, 0xabf1f248), TOBN(0xfbab8084, 0xfae3fd83), - TOBN(0x65e50d21, 0x53765b2f), TOBN(0xbdd4e083, 0xfa127f3d), - TOBN(0x9cf3c074, 0x397b1b10), TOBN(0x59f8090c, 0xb1b59fd3), - TOBN(0x7b15fd9d, 0x615faa8f), TOBN(0x8fa1eb40, 0x968554ed), - TOBN(0x7bb4447e, 0x7aa44882), TOBN(0x2bb2d0d1, 0x029fff32), - TOBN(0x075e2a64, 0x6caa6d2f), TOBN(0x8eb879de, 0x22e7351b), - TOBN(0xbcd5624e, 0x9a506c62), TOBN(0x218eaef0, 0xa87e24dc), - TOBN(0x37e56847, 0x44ddfa35), TOBN(0x9ccfc5c5, 0xdab3f747), - TOBN(0x9ac1df3f, 0x1ee96cf4), TOBN(0x0c0571a1, 0x3b480b8f), - TOBN(0x2fbeb3d5, 0x4b3a7b3c), TOBN(0x35c03669, 0x5dcdbb99), - TOBN(0x52a0f5dc, 0xb2415b3a), TOBN(0xd57759b4, 0x4413ed9a), - TOBN(0x1fe647d8, 0x3d30a2c5), TOBN(0x0857f77e, 0xf78a81dc), - TOBN(0x11d5a334, 0x131a4a9b), TOBN(0xc0a94af9, 0x29d393f5), - TOBN(0xbc3a5c0b, 0xdaa6ec1a), TOBN(0xba9fe493, 0x88d2d7ed), - TOBN(0xbb4335b4, 0xbb614797), TOBN(0x991c4d68, 0x72f83533), - TOBN(0x53258c28, 0xd2f01cb3), TOBN(0x93d6eaa3, 0xd75db0b1), - TOBN(0x419a2b0d, 0xe87d0db4), TOBN(0xa1e48f03, 0xd8fe8493), - TOBN(0xf747faf6, 0xc508b23a), TOBN(0xf137571a, 0x35d53549), - TOBN(0x9f5e58e2, 0xfcf9b838), TOBN(0xc7186cee, 0xa7fd3cf5), - TOBN(0x77b868ce, 0xe978a1d3), TOBN(0xe3a68b33, 0x7ab92d04), - TOBN(0x51029794, 0x87a5b862), TOBN(0x5f0606c3, 0x3a61d41d), - 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TOBN(0x0ae00808, 0x1ec8897a), TOBN(0xdd0a9303, 0x6712f76e), - TOBN(0x96237522, 0x4e233de4), TOBN(0x192445b1, 0x2b36a8a5), - TOBN(0xabf9ff74, 0x023993d9), TOBN(0x21f37bf4, 0x2aad4a8f), - TOBN(0x340a4349, 0xf8bd2bbd), TOBN(0x1d902cd9, 0x4868195d), - TOBN(0x3d27bbf1, 0xe5fdb6f1), TOBN(0x7a5ab088, 0x124f9f1c), - TOBN(0xc466ab06, 0xf7a09e03), TOBN(0x2f8a1977, 0x31f2c123), - TOBN(0xda355dc7, 0x041b6657), TOBN(0xcb840d12, 0x8ece2a7c), - TOBN(0xb600ad9f, 0x7db32675), TOBN(0x78fea133, 0x07a06f1b), - TOBN(0x5d032269, 0xb31f6094), TOBN(0x07753ef5, 0x83ec37aa), - TOBN(0x03485aed, 0x9c0bea78), TOBN(0x41bb3989, 0xbc3f4524), - TOBN(0x09403761, 0x697f726d), TOBN(0x6109beb3, 0xdf394820), - TOBN(0x804111ea, 0x3b6d1145), TOBN(0xb6271ea9, 0xa8582654), - TOBN(0x619615e6, 0x24e66562), TOBN(0xa2554945, 0xd7b6ad9c), - TOBN(0xd9c4985e, 0x99bfe35f), TOBN(0x9770ccc0, 0x7b51cdf6), - TOBN(0x7c327013, 0x92881832), TOBN(0x8777d45f, 0x286b26d1), - TOBN(0x9bbeda22, 0xd847999d), TOBN(0x03aa33b6, 0xc3525d32), - TOBN(0x4b7b96d4, 0x28a959a1), TOBN(0xbb3786e5, 0x31e5d234), - 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TOBN(0x8d1f9675, 0x2e029ffa), TOBN(0xc2150672, 0xe4cc7a2c), - TOBN(0x3b03c1e0, 0x8d68b013), TOBN(0xa9d6816f, 0xedf298f3), - TOBN(0x1bfbb529, 0xa2804464), TOBN(0x95a52fae, 0x5db22125), - TOBN(0x55b32160, 0x0e1cb64e), TOBN(0x004828f6, 0x7e7fc9fe), - TOBN(0x13394b82, 0x1bb0fb93), TOBN(0xb6293a2d, 0x35f1a920), - TOBN(0xde35ef21, 0xd145d2d9), TOBN(0xbe6225b3, 0xbb8fa603), - TOBN(0x00fc8f6b, 0x32cf252d), TOBN(0xa28e52e6, 0x117cf8c2), - TOBN(0x9d1dc89b, 0x4c371e6d), TOBN(0xcebe0675, 0x36ef0f28), - TOBN(0x5de05d09, 0xa4292f81), TOBN(0xa8303593, 0x353e3083), - TOBN(0xa1715b0a, 0x7e37a9bb), TOBN(0x8c56f61e, 0x2b8faec3), - TOBN(0x52507431, 0x33c9b102), TOBN(0x0130cefc, 0xa44431f0), - TOBN(0x56039fa0, 0xbd865cfb), TOBN(0x4b03e578, 0xbc5f1dd7), - TOBN(0x40edf2e4, 0xbabe7224), TOBN(0xc752496d, 0x3a1988f6), - TOBN(0xd1572d3b, 0x564beb6b), TOBN(0x0db1d110, 0x39a1c608), - TOBN(0x568d1934, 0x16f60126), TOBN(0x05ae9668, 0xf354af33), - TOBN(0x19de6d37, 0xc92544f2), TOBN(0xcc084353, 0xa35837d5), - TOBN(0xcbb6869c, 0x1a514ece), TOBN(0xb633e728, 0x2e1d1066), - 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TOBN(0xf4f1ee56, 0x43ca1637), TOBN(0xfda2828b, 0x61ece30a), - TOBN(0x758c1a3e, 0xa2dee7a6), TOBN(0xdcde2f3c, 0x734b2284), - TOBN(0xaba445d2, 0x4eaba6ad), TOBN(0x35aaf668, 0x76cee0a7), - TOBN(0x7e0b04a9, 0xe5aa049a), TOBN(0xe74083ad, 0x91103e84), - TOBN(0xbeb183ce, 0x40afecc3), TOBN(0x6b89de9f, 0xea043f7a),} - , - {TOBN(0x0e299d23, 0xfe67ba66), TOBN(0x91450760, 0x93cf2f34), - TOBN(0xf45b5ea9, 0x97fcf913), TOBN(0x5be00843, 0x8bd7ddda), - TOBN(0x358c3e05, 0xd53ff04d), TOBN(0xbf7ccdc3, 0x5de91ef7), - TOBN(0xad684dbf, 0xb69ec1a0), TOBN(0x367e7cf2, 0x801fd997), - TOBN(0x0ca1f3b7, 0xb0dc8595), TOBN(0x27de4608, 0x9f1d9f2e), - TOBN(0x1af3bf39, 0xbadd82a7), TOBN(0x79356a79, 0x65862448), - TOBN(0xc0602345, 0xf5f9a052), TOBN(0x1a8b0f89, 0x139a42f9), - TOBN(0xb53eee42, 0x844d40fc), TOBN(0x93b0bfe5, 0x4e5b6368), - TOBN(0x5434dd02, 0xc024789c), TOBN(0x90dca9ea, 0x41b57bfc), - TOBN(0x8aa898e2, 0x243398df), TOBN(0xf607c834, 0x894a94bb), - TOBN(0xbb07be97, 0xc2c99b76), TOBN(0x6576ba67, 0x18c29302), - TOBN(0x3d79efcc, 0xe703a88c), TOBN(0xf259ced7, 0xb6a0d106), - TOBN(0x0f893a5d, 0xc8de610b), TOBN(0xe8c515fb, 0x67e223ce), - TOBN(0x7774bfa6, 0x4ead6dc5), TOBN(0x89d20f95, 0x925c728f), - TOBN(0x7a1e0966, 0x098583ce), TOBN(0xa2eedb94, 0x93f2a7d7), - TOBN(0x1b282097, 0x4c304d4a), TOBN(0x0842e3da, 0xc077282d), - TOBN(0xe4d972a3, 0x3b9e2d7b), TOBN(0x7cc60b27, 0xc48218ff), - TOBN(0x8fc70838, 0x84149d91), TOBN(0x5c04346f, 0x2f461ecc), - TOBN(0xebe9fdf2, 0x614650a9), TOBN(0x5e35b537, 0xc1f666ac), - TOBN(0x645613d1, 0x88babc83), TOBN(0x88cace3a, 0xc5e1c93e), - TOBN(0x209ca375, 0x3de92e23), TOBN(0xccb03cc8, 0x5fbbb6e3), - TOBN(0xccb90f03, 0xd7b1487e), TOBN(0xfa9c2a38, 0xc710941f), - TOBN(0x756c3823, 0x6724ceed), TOBN(0x3a902258, 0x192d0323), - TOBN(0xb150e519, 0xea5e038e), TOBN(0xdcba2865, 0xc7427591), - TOBN(0xe549237f, 0x78890732), TOBN(0xc443bef9, 0x53fcb4d9), - TOBN(0x9884d8a6, 0xeb3480d6), TOBN(0x8a35b6a1, 0x3048b186), - TOBN(0xb4e44716, 0x65e9a90a), TOBN(0x45bf380d, 0x653006c0), - TOBN(0x8f3f820d, 0x4fe9ae3b), TOBN(0x244a35a0, 0x979a3b71), - TOBN(0xa1010e9d, 0x74cd06ff), TOBN(0x9c17c7df, 0xaca3eeac), - TOBN(0x74c86cd3, 0x8063aa2b), TOBN(0x8595c4b3, 0x734614ff), - TOBN(0xa3de00ca, 0x990f62cc), TOBN(0xd9bed213, 0xca0c3be5), - TOBN(0x7886078a, 0xdf8ce9f5), TOBN(0xddb27ce3, 0x5cd44444), - TOBN(0xed374a66, 0x58926ddd), TOBN(0x138b2d49, 0x908015b8), - TOBN(0x886c6579, 0xde1f7ab8), TOBN(0x888b9aa0, 0xc3020b7a), - TOBN(0xd3ec034e, 0x3a96e355), TOBN(0xba65b0b8, 0xf30fbe9a), - TOBN(0x064c8e50, 0xff21367a), TOBN(0x1f508ea4, 0x0b04b46e), - TOBN(0x98561a49, 0x747c866c), TOBN(0xbbb1e5fe, 0x0518a062), - TOBN(0x20ff4e8b, 0xecdc3608), TOBN(0x7f55cded, 0x20184027), - TOBN(0x8d73ec95, 0xf38c85f0), TOBN(0x5b589fdf, 0x8bc3b8c3), - TOBN(0xbe95dd98, 0x0f12b66f), TOBN(0xf5bd1a09, 0x0e338e01), - TOBN(0x65163ae5, 0x5e915918), TOBN(0x6158d6d9, 0x86f8a46b), - TOBN(0x8466b538, 0xeeebf99c), TOBN(0xca8761f6, 0xbca477ef), - TOBN(0xaf3449c2, 0x9ebbc601), TOBN(0xef3b0f41, 0xe0c3ae2f), - TOBN(0xaa6c577d, 0x5de63752), TOBN(0xe9166601, 0x64682a51), - TOBN(0x5a3097be, 0xfc15aa1e), TOBN(0x40d12548, 0xb54b0745), - TOBN(0x5bad4706, 0x519a5f12), TOBN(0xed03f717, 0xa439dee6), - TOBN(0x0794bb6c, 0x4a02c499), TOBN(0xf725083d, 0xcffe71d2), - TOBN(0x2cad7519, 0x0f3adcaf), TOBN(0x7f68ea1c, 0x43729310), - TOBN(0xe747c8c7, 0xb7ffd977), TOBN(0xec104c35, 0x80761a22), - TOBN(0x8395ebaf, 0x5a3ffb83), TOBN(0xfb3261f4, 0xe4b63db7), - TOBN(0x53544960, 0xd883e544), TOBN(0x13520d70, 0x8cc2eeb8), - TOBN(0x08f6337b, 0xd3d65f99), TOBN(0x83997db2, 0x781cf95b), - TOBN(0xce6ff106, 0x0dbd2c01), TOBN(0x4f8eea6b, 0x1f9ce934), - TOBN(0x546f7c4b, 0x0e993921), TOBN(0x6236a324, 0x5e753fc7), - TOBN(0x65a41f84, 0xa16022e9), TOBN(0x0c18d878, 0x43d1dbb2), - TOBN(0x73c55640, 0x2d4cef9c), TOBN(0xa0428108, 0x70444c74), - TOBN(0x68e4f15e, 0x9afdfb3c), TOBN(0x49a56143, 0x5bdfb6df), - TOBN(0xa9bc1bd4, 0x5f823d97), TOBN(0xbceb5970, 0xea111c2a), - TOBN(0x366b455f, 0xb269bbc4), TOBN(0x7cd85e1e, 0xe9bc5d62), - TOBN(0xc743c41c, 0x4f18b086), TOBN(0xa4b40990, 0x95294fb9), - TOBN(0x9c7c581d, 0x26ee8382), TOBN(0xcf17dcc5, 0x359d638e), - TOBN(0xee8273ab, 0xb728ae3d), TOBN(0x1d112926, 0xf821f047), - TOBN(0x11498477, 0x50491a74), TOBN(0x687fa761, 0xfde0dfb9), - TOBN(0x2c258022, 0x7ea435ab), TOBN(0x6b8bdb94, 0x91ce7e3f), - TOBN(0x4c5b5dc9, 0x3bf834aa), TOBN(0x04371819, 0x4f6c7e4b), - TOBN(0xc284e00a, 0x3736bcad), TOBN(0x0d881118, 0x21ae8f8d), - TOBN(0xf9cf0f82, 0xf48c8e33), TOBN(0xa11fd075, 0xa1bf40db), - TOBN(0xdceab0de, 0xdc2733e5), TOBN(0xc560a8b5, 0x8e986bd7), - TOBN(0x48dd1fe2, 0x3929d097), TOBN(0x3885b290, 0x92f188f1), - TOBN(0x0f2ae613, 0xda6fcdac), TOBN(0x9054303e, 0xb662a46c), - TOBN(0xb6871e44, 0x0738042a), TOBN(0x98e6a977, 0xbdaf6449), - TOBN(0xd8bc0650, 0xd1c9df1b), TOBN(0xef3d6451, 0x36e098f9), - TOBN(0x03fbae82, 0xb6d72d28), TOBN(0x77ca9db1, 0xf5d84080), - TOBN(0x8a112cff, 0xa58efc1c), TOBN(0x518d761c, 0xc564cb4a), - TOBN(0x69b5740e, 0xf0d1b5ce), TOBN(0x717039cc, 0xe9eb1785), - TOBN(0x3fe29f90, 0x22f53382), TOBN(0x8e54ba56, 0x6bc7c95c), - TOBN(0x9c806d8a, 0xf7f91d0f), TOBN(0x3b61b0f1, 0xa82a5728), - TOBN(0x4640032d, 0x94d76754), TOBN(0x273eb5de, 0x47d834c6), - TOBN(0x2988abf7, 0x7b4e4d53), TOBN(0xb7ce66bf, 0xde401777), - TOBN(0x9fba6b32, 0x715071b3), TOBN(0x82413c24, 0xad3a1a98), - TOBN(0x5b7fc8c4, 0xe0e8ad93), TOBN(0xb5679aee, 0x5fab868d), - TOBN(0xb1f9d2fa, 0x2b3946f3), TOBN(0x458897dc, 0x5685b50a), - TOBN(0x1e98c930, 0x89d0caf3), TOBN(0x39564c5f, 0x78642e92), - TOBN(0x1b77729a, 0x0dbdaf18), TOBN(0xf9170722, 0x579e82e6), - TOBN(0x680c0317, 0xe4515fa5), TOBN(0xf85cff84, 0xfb0c790f), - TOBN(0xc7a82aab, 0x6d2e0765), TOBN(0x7446bca9, 0x35c82b32), - TOBN(0x5de607aa, 0x6d63184f), TOBN(0x7c1a46a8, 0x262803a6), - TOBN(0xd218313d, 0xaebe8035), TOBN(0x92113ffd, 0xc73c51f8), - TOBN(0x4b38e083, 0x12e7e46c), TOBN(0x69d0a37a, 0x56126bd5), - TOBN(0xfb3f324b, 0x73c07e04), TOBN(0xa0c22f67, 0x8fda7267), - TOBN(0x8f2c0051, 0x4d2c7d8f), TOBN(0xbc45ced3, 0xcbe2cae5), - TOBN(0xe1c6cf07, 0xa8f0f277), TOBN(0xbc392312, 0x1eb99a98), - TOBN(0x75537b7e, 0x3cc8ac85), TOBN(0x8d725f57, 0xdd02753b), - TOBN(0xfd05ff64, 0xb737df2f), TOBN(0x55fe8712, 0xf6d2531d), - TOBN(0x57ce04a9, 0x6ab6b01c), TOBN(0x69a02a89, 0x7cd93724), - TOBN(0x4f82ac35, 0xcf86699b), TOBN(0x8242d3ad, 0x9cb4b232), - TOBN(0x713d0f65, 0xd62105e5), TOBN(0xbb222bfa, 0x2d29be61), - TOBN(0xf2f9a79e, 0x6cfbef09), TOBN(0xfc24d8d3, 0xd5d6782f), - TOBN(0x5db77085, 0xd4129967), TOBN(0xdb81c3cc, 0xdc3c2a43), - TOBN(0x9d655fc0, 0x05d8d9a3), TOBN(0x3f5d057a, 0x54298026), - TOBN(0x1157f56d, 0x88c54694), TOBN(0xb26baba5, 0x9b09573e), - TOBN(0x2cab03b0, 0x22adffd1), TOBN(0x60a412c8, 0xdd69f383), - TOBN(0xed76e98b, 0x54b25039), TOBN(0xd4ee67d3, 0x687e714d), - TOBN(0x87739648, 0x7b00b594), TOBN(0xce419775, 0xc9ef709b), - TOBN(0x40f76f85, 0x1c203a40), TOBN(0x30d352d6, 0xeafd8f91), - TOBN(0xaf196d3d, 0x95578dd2), TOBN(0xea4bb3d7, 0x77cc3f3d), - TOBN(0x42a5bd03, 0xb98e782b), TOBN(0xac958c40, 0x0624920d), - TOBN(0xb838134c, 0xfc56fcc8), TOBN(0x86ec4ccf, 0x89572e5e), - TOBN(0x69c43526, 0x9be47be0), TOBN(0x323b7dd8, 0xcb28fea1), - TOBN(0xfa5538ba, 0x3a6c67e5), TOBN(0xef921d70, 0x1d378e46), - TOBN(0xf92961fc, 0x3c4b880e), TOBN(0x3f6f914e, 0x98940a67), - TOBN(0xa990eb0a, 0xfef0ff39), TOBN(0xa6c2920f, 0xf0eeff9c), - TOBN(0xca804166, 0x51b8d9a3), TOBN(0x42531bc9, 0x0ffb0db1), - TOBN(0x72ce4718, 0xaa82e7ce), TOBN(0x6e199913, 0xdf574741), - TOBN(0xd5f1b13d, 0xd5d36946), TOBN(0x8255dc65, 0xf68f0194), - TOBN(0xdc9df4cd, 0x8710d230), TOBN(0x3453c20f, 0x138c1988), - TOBN(0x9af98dc0, 0x89a6ef01), TOBN(0x4dbcc3f0, 0x9857df85), - TOBN(0x34805601, 0x5c1ad924), TOBN(0x40448da5, 0xd0493046), - TOBN(0xf629926d, 0x4ee343e2), TOBN(0x6343f1bd, 0x90e8a301), - TOBN(0xefc93491, 0x40815b3f), TOBN(0xf882a423, 0xde8f66fb), - TOBN(0x3a12d5f4, 0xe7db9f57), TOBN(0x7dfba38a, 0x3c384c27), - TOBN(0x7a904bfd, 0x6fc660b1), TOBN(0xeb6c5db3, 0x2773b21c), - TOBN(0xc350ee66, 0x1cdfe049), TOBN(0x9baac0ce, 0x44540f29), - TOBN(0xbc57b6ab, 0xa5ec6aad), TOBN(0x167ce8c3, 0x0a7c1baa), - TOBN(0xb23a03a5, 0x53fb2b56), TOBN(0x6ce141e7, 0x4e057f78), - TOBN(0x796525c3, 0x89e490d9), TOBN(0x0bc95725, 0xa31a7e75), - TOBN(0x1ec56791, 0x1220fd06), TOBN(0x716e3a3c, 0x408b0bd6), - TOBN(0x31cd6bf7, 0xe8ebeba9), TOBN(0xa7326ca6, 0xbee6b670), - TOBN(0x3d9f851c, 0xcd090c43), TOBN(0x561e8f13, 0xf12c3988), - TOBN(0x50490b6a, 0x904b7be4), TOBN(0x61690ce1, 0x0410737b), - TOBN(0x299e9a37, 0x0f009052), TOBN(0x258758f0, 0xf026092e), - TOBN(0x9fa255f3, 0xfdfcdc0f), TOBN(0xdbc9fb1f, 0xc0e1bcd2), - TOBN(0x35f9dd6e, 0x24651840), TOBN(0xdca45a84, 0xa5c59abc), - TOBN(0x103d396f, 0xecca4938), TOBN(0x4532da0a, 0xb97b3f29), - TOBN(0xc4135ea5, 0x1999a6bf), TOBN(0x3aa9505a, 0x5e6bf2ee), - TOBN(0xf77cef06, 0x3f5be093), TOBN(0x97d1a0f8, 0xa943152e), - TOBN(0x2cb0ebba, 0x2e1c21dd), TOBN(0xf41b29fc, 0x2c6797c4), - TOBN(0xc6e17321, 0xb300101f), TOBN(0x4422b0e9, 0xd0d79a89), - TOBN(0x49e4901c, 0x92f1bfc4), TOBN(0x06ab1f8f, 0xe1e10ed9), - TOBN(0x84d35577, 0xdb2926b8), TOBN(0xca349d39, 0x356e8ec2), - TOBN(0x70b63d32, 0x343bf1a9), TOBN(0x8fd3bd28, 0x37d1a6b1), - TOBN(0x0454879c, 0x316865b4), TOBN(0xee959ff6, 0xc458efa2), - TOBN(0x0461dcf8, 0x9706dc3f), TOBN(0x737db0e2, 0x164e4b2e), - TOBN(0x09262680, 0x2f8843c8), TOBN(0x54498bbc, 0x7745e6f6), - TOBN(0x359473fa, 0xa29e24af), TOBN(0xfcc3c454, 0x70aa87a1), - TOBN(0xfd2c4bf5, 0x00573ace), TOBN(0xb65b514e, 0x28dd1965), - TOBN(0xe46ae7cf, 0x2193e393), TOBN(0x60e9a4e1, 0xf5444d97), - TOBN(0xe7594e96, 0x00ff38ed), TOBN(0x43d84d2f, 0x0a0e0f02), - TOBN(0x8b6db141, 0xee398a21), TOBN(0xb88a56ae, 0xe3bcc5be), - TOBN(0x0a1aa52f, 0x373460ea), TOBN(0x20da1a56, 0x160bb19b), - TOBN(0xfb54999d, 0x65bf0384), TOBN(0x71a14d24, 0x5d5a180e), - TOBN(0xbc44db7b, 0x21737b04), TOBN(0xd84fcb18, 0x01dd8e92), - TOBN(0x80de937b, 0xfa44b479), TOBN(0x53505499, 0x5c98fd4f), - TOBN(0x1edb12ab, 0x28f08727), TOBN(0x4c58b582, 0xa5f3ef53), - TOBN(0xbfb236d8, 0x8327f246), TOBN(0xc3a3bfaa, 0x4d7df320), - TOBN(0xecd96c59, 0xb96024f2), TOBN(0xfc293a53, 0x7f4e0433), - TOBN(0x5341352b, 0x5acf6e10), TOBN(0xc50343fd, 0xafe652c3), - TOBN(0x4af3792d, 0x18577a7f), TOBN(0xe1a4c617, 0xaf16823d), - TOBN(0x9b26d0cd, 0x33425d0a), TOBN(0x306399ed, 0x9b7bc47f), - TOBN(0x2a792f33, 0x706bb20b), TOBN(0x31219614, 0x98111055), - TOBN(0x864ec064, 0x87f5d28b), TOBN(0x11392d91, 0x962277fd), - TOBN(0xb5aa7942, 0xbb6aed5f), TOBN(0x080094dc, 0x47e799d9), - TOBN(0x4afa588c, 0x208ba19b), TOBN(0xd3e7570f, 0x8512f284), - TOBN(0xcbae64e6, 0x02f5799a), TOBN(0xdeebe7ef, 0x514b9492), - TOBN(0x30300f98, 0xe5c298ff), TOBN(0x17f561be, 0x3678361f), - TOBN(0xf52ff312, 0x98cb9a16), TOBN(0x6233c3bc, 0x5562d490), - TOBN(0x7bfa15a1, 0x92e3a2cb), TOBN(0x961bcfd1, 0xe6365119), - TOBN(0x3bdd29bf, 0x2c8c53b1), TOBN(0x739704df, 0x822844ba), - TOBN(0x7dacfb58, 0x7e7b754b), TOBN(0x23360791, 0xa806c9b9), - TOBN(0xe7eb88c9, 0x23504452), TOBN(0x2983e996, 0x852c1783), - TOBN(0xdd4ae529, 0x958d881d), TOBN(0x026bae03, 0x262c7b3c), - TOBN(0x3a6f9193, 0x960b52d1), TOBN(0xd0980f90, 0x92696cfb), - TOBN(0x4c1f428c, 0xd5f30851), TOBN(0x94dfed27, 0x2a4f6630), - TOBN(0x4df53772, 0xfc5d48a4), TOBN(0xdd2d5a2f, 0x933260ce), - TOBN(0x574115bd, 0xd44cc7a5), TOBN(0x4ba6b20d, 0xbd12533a), - TOBN(0x30e93cb8, 0x243057c9), TOBN(0x794c486a, 0x14de320e), - TOBN(0xe925d4ce, 0xf21496e4), TOBN(0xf951d198, 0xec696331), - TOBN(0x9810e2de, 0x3e8d812f), TOBN(0xd0a47259, 0x389294ab), - TOBN(0x513ba2b5, 0x0e3bab66), TOBN(0x462caff5, 0xabad306f), - TOBN(0xe2dc6d59, 0xaf04c49e), TOBN(0x1aeb8750, 0xe0b84b0b), - TOBN(0xc034f12f, 0x2f7d0ca2), TOBN(0x6d2e8128, 0xe06acf2f), - TOBN(0x801f4f83, 0x21facc2f), TOBN(0xa1170c03, 0xf40ef607), - TOBN(0xfe0a1d4f, 0x7805a99c), TOBN(0xbde56a36, 0xcc26aba5), - TOBN(0x5b1629d0, 0x35531f40), TOBN(0xac212c2b, 0x9afa6108), - TOBN(0x30a06bf3, 0x15697be5), TOBN(0x6f0545dc, 0x2c63c7c1), - TOBN(0x5d8cb842, 0x7ccdadaf), TOBN(0xd52e379b, 0xac7015bb), - TOBN(0xc4f56147, 0xf462c23e), TOBN(0xd44a4298, 0x46bc24b0), - TOBN(0xbc73d23a, 0xe2856d4f), TOBN(0x61cedd8c, 0x0832bcdf), - TOBN(0x60953556, 0x99f241d7), TOBN(0xee4adbd7, 0x001a349d), - TOBN(0x0b35bf6a, 0xaa89e491), TOBN(0x7f0076f4, 0x136f7546), - TOBN(0xd19a18ba, 0x9264da3d), TOBN(0x6eb2d2cd, 0x62a7a28b), - TOBN(0xcdba941f, 0x8761c971), TOBN(0x1550518b, 0xa3be4a5d), - TOBN(0xd0e8e2f0, 0x57d0b70c), TOBN(0xeea8612e, 0xcd133ba3), - TOBN(0x814670f0, 0x44416aec), TOBN(0x424db6c3, 0x30775061), - TOBN(0xd96039d1, 0x16213fd1), TOBN(0xc61e7fa5, 0x18a3478f), - TOBN(0xa805bdcc, 0xcb0c5021), TOBN(0xbdd6f3a8, 0x0cc616dd), - TOBN(0x06009667, 0x5d97f7e2), TOBN(0x31db0fc1, 0xaf0bf4b6), - TOBN(0x23680ed4, 0x5491627a), TOBN(0xb99a3c66, 0x7d741fb1), - TOBN(0xe9bb5f55, 0x36b1ff92), TOBN(0x29738577, 0x512b388d), - TOBN(0xdb8a2ce7, 0x50fcf263), TOBN(0x385346d4, 0x6c4f7b47), - TOBN(0xbe86c5ef, 0x31631f9e), TOBN(0xbf91da21, 0x03a57a29), - TOBN(0xc3b1f796, 0x7b23f821), TOBN(0x0f7d00d2, 0x770db354), - TOBN(0x8ffc6c3b, 0xd8fe79da), TOBN(0xcc5e8c40, 0xd525c996), - TOBN(0x4640991d, 0xcfff632a), TOBN(0x64d97e8c, 0x67112528), - TOBN(0xc232d973, 0x02f1cd1e), TOBN(0xce87eacb, 0x1dd212a4), - TOBN(0x6e4c8c73, 0xe69802f7), TOBN(0x12ef0290, 0x1fffddbd), - TOBN(0x941ec74e, 0x1bcea6e2), TOBN(0xd0b54024, 0x3cb92cbb), - TOBN(0x809fb9d4, 0x7e8f9d05), TOBN(0x3bf16159, 0xf2992aae), - TOBN(0xad40f279, 0xf8a7a838), TOBN(0x11aea631, 0x05615660), - TOBN(0xbf52e6f1, 0xa01f6fa1), TOBN(0xef046995, 0x3dc2aec9), - TOBN(0x785dbec9, 0xd8080711), TOBN(0xe1aec60a, 0x9fdedf76), - TOBN(0xece797b5, 0xfa21c126), TOBN(0xc66e898f, 0x05e52732), - TOBN(0x39bb69c4, 0x08811fdb), TOBN(0x8bfe1ef8, 0x2fc7f082), - TOBN(0xc8e7a393, 0x174f4138), TOBN(0xfba8ad1d, 0xd58d1f98), - TOBN(0xbc21d0ce, 0xbfd2fd5b), TOBN(0x0b839a82, 0x6ee60d61), - TOBN(0xaacf7658, 0xafd22253), TOBN(0xb526bed8, 0xaae396b3), - TOBN(0xccc1bbc2, 0x38564464), TOBN(0x9e3ff947, 0x8c45bc73), - TOBN(0xcde9bca3, 0x58188a78), TOBN(0x138b8ee0, 0xd73bf8f7), - TOBN(0x5c7e234c, 0x4123c489), TOBN(0x66e69368, 0xfa643297), - TOBN(0x0629eeee, 0x39a15fa3), TOBN(0x95fab881, 0xa9e2a927), - TOBN(0xb2497007, 0xeafbb1e1), TOBN(0xd75c9ce6, 0xe75b7a93), - TOBN(0x3558352d, 0xefb68d78), TOBN(0xa2f26699, 0x223f6396), - TOBN(0xeb911ecf, 0xe469b17a), TOBN(0x62545779, 0xe72d3ec2), - TOBN(0x8ea47de7, 0x82cb113f), TOBN(0xebe4b086, 0x4e1fa98d), - TOBN(0xec2d5ed7, 0x8cdfedb1), TOBN(0xa535c077, 0xfe211a74), - TOBN(0x9678109b, 0x11d244c5), TOBN(0xf17c8bfb, 0xbe299a76), - TOBN(0xb651412e, 0xfb11fbc4), TOBN(0xea0b5482, 0x94ab3f65), - TOBN(0xd8dffd95, 0x0cf78243), TOBN(0x2e719e57, 0xce0361d4), - TOBN(0x9007f085, 0x304ddc5b), TOBN(0x095e8c6d, 0x4daba2ea), - TOBN(0x5a33cdb4, 0x3f9d28a9), TOBN(0x85b95cd8, 0xe2283003), - TOBN(0xbcd6c819, 0xb9744733), TOBN(0x29c5f538, 0xfc7f5783), - TOBN(0x6c49b2fa, 0xd59038e4), TOBN(0x68349cc1, 0x3bbe1018), - TOBN(0xcc490c1d, 0x21830ee5), TOBN(0x36f9c4ee, 0xe9bfa297), - TOBN(0x58fd7294, 0x48de1a94), TOBN(0xaadb13a8, 0x4e8f2cdc), - TOBN(0x515eaaa0, 0x81313dba), TOBN(0xc76bb468, 0xc2152dd8), - TOBN(0x357f8d75, 0xa653dbf8), TOBN(0xe4d8c4d1, 0xb14ac143), - TOBN(0xbdb8e675, 0xb055cb40), TOBN(0x898f8e7b, 0x977b5167), - TOBN(0xecc65651, 0xb82fb863), TOBN(0x56544814, 0x6d88f01f), - TOBN(0xb0928e95, 0x263a75a9), TOBN(0xcfb6836f, 0x1a22fcda), - TOBN(0x651d14db, 0x3f3bd37c), TOBN(0x1d3837fb, 0xb6ad4664), - TOBN(0x7c5fb538, 0xff4f94ab), TOBN(0x7243c712, 0x6d7fb8f2), - TOBN(0xef13d60c, 0xa85c5287), TOBN(0x18cfb7c7, 0x4bb8dd1b), - TOBN(0x82f9bfe6, 0x72908219), TOBN(0x35c4592b, 0x9d5144ab), - TOBN(0x52734f37, 0x9cf4b42f), TOBN(0x6bac55e7, 0x8c60ddc4), - TOBN(0xb5cd811e, 0x94dea0f6), TOBN(0x259ecae4, 0xe18cc1a3), - TOBN(0x6a0e836e, 0x15e660f8), TOBN(0x6c639ea6, 0x0e02bff2), - TOBN(0x8721b8cb, 0x7e1026fd), TOBN(0x9e73b50b, 0x63261942), - TOBN(0xb8c70974, 0x77f01da3), TOBN(0x1839e6a6, 0x8268f57f), - TOBN(0x571b9415, 0x5150b805), TOBN(0x1892389e, 0xf92c7097), - TOBN(0x8d69c18e, 0x4a084b95), TOBN(0x7014c512, 0xbe5b495c), - TOBN(0x4780db36, 0x1b07523c), TOBN(0x2f6219ce, 0x2c1c64fa), - TOBN(0xc38b81b0, 0x602c105a), TOBN(0xab4f4f20, 0x5dc8e360), - TOBN(0x20d3c982, 0xcf7d62d2), TOBN(0x1f36e29d, 0x23ba8150), - TOBN(0x48ae0bf0, 0x92763f9e), TOBN(0x7a527e6b, 0x1d3a7007), - TOBN(0xb4a89097, 0x581a85e3), TOBN(0x1f1a520f, 0xdc158be5), - TOBN(0xf98db37d, 0x167d726e), TOBN(0x8802786e, 0x1113e862)} - , - {TOBN(0xefb2149e, 0x36f09ab0), TOBN(0x03f163ca, 0x4a10bb5b), - TOBN(0xd0297045, 0x06e20998), TOBN(0x56f0af00, 0x1b5a3bab), - TOBN(0x7af4cfec, 0x70880e0d), TOBN(0x7332a66f, 0xbe3d913f), - TOBN(0x32e6c84a, 0x7eceb4bd), TOBN(0xedc4a79a, 0x9c228f55), - TOBN(0xc37c7dd0, 0xc55c4496), TOBN(0xa6a96357, 0x25bbabd2), - TOBN(0x5b7e63f2, 0xadd7f363), TOBN(0x9dce3782, 0x2e73f1df), - TOBN(0xe1e5a16a, 0xb2b91f71), TOBN(0xe4489823, 0x5ba0163c), - TOBN(0xf2759c32, 0xf6e515ad), TOBN(0xa5e2f1f8, 0x8615eecf), - TOBN(0x74519be7, 0xabded551), TOBN(0x03d358b8, 0xc8b74410), - TOBN(0x4d00b10b, 0x0e10d9a9), TOBN(0x6392b0b1, 0x28da52b7), - TOBN(0x6744a298, 0x0b75c904), TOBN(0xc305b0ae, 0xa8f7f96c), - TOBN(0x042e421d, 0x182cf932), TOBN(0xf6fc5d50, 0x9e4636ca), - TOBN(0x795847c9, 0xd64cc78c), TOBN(0x6c50621b, 0x9b6cb27b), - TOBN(0x07099bf8, 0xdf8022ab), TOBN(0x48f862eb, 0xc04eda1d), - TOBN(0xd12732ed, 0xe1603c16), TOBN(0x19a80e0f, 0x5c9a9450), - TOBN(0xe2257f54, 0xb429b4fc), TOBN(0x66d3b2c6, 0x45460515), - TOBN(0x6ca4f87e, 0x822e37be), TOBN(0x73f237b4, 0x253bda4e), - TOBN(0xf747f3a2, 0x41190aeb), TOBN(0xf06fa36f, 0x804cf284), - TOBN(0x0a6bbb6e, 0xfc621c12), TOBN(0x5d624b64, 0x40b80ec6), - TOBN(0x4b072425, 0x7ba556f3), TOBN(0x7fa0c354, 0x3e2d20a8), - TOBN(0xe921fa31, 0xe3229d41), TOBN(0xa929c652, 0x94531bd4), - TOBN(0x84156027, 0xa6d38209), TOBN(0xf3d69f73, 0x6bdb97bd), - TOBN(0x8906d19a, 0x16833631), TOBN(0x68a34c2e, 0x03d51be3), - TOBN(0xcb59583b, 0x0e511cd8), TOBN(0x99ce6bfd, 0xfdc132a8), - TOBN(0x3facdaaa, 0xffcdb463), TOBN(0x658bbc1a, 0x34a38b08), - TOBN(0x12a801f8, 0xf1a9078d), TOBN(0x1567bcf9, 0x6ab855de), - TOBN(0xe08498e0, 0x3572359b), TOBN(0xcf0353e5, 0x8659e68b), - TOBN(0xbb86e9c8, 0x7d23807c), TOBN(0xbc08728d, 0x2198e8a2), - TOBN(0x8de2b7bc, 0x453cadd6), TOBN(0x203900a7, 0xbc0bc1f8), - TOBN(0xbcd86e47, 0xa6abd3af), TOBN(0x911cac12, 0x8502effb), - TOBN(0x2d550242, 0xec965469), TOBN(0x0e9f7692, 0x29e0017e), - TOBN(0x633f078f, 0x65979885), TOBN(0xfb87d449, 0x4cf751ef), - TOBN(0xe1790e4b, 0xfc25419a), TOBN(0x36467203, 0x4bff3cfd), - TOBN(0xc8db6386, 0x25b6e83f), TOBN(0x6cc69f23, 0x6cad6fd2), - TOBN(0x0219e45a, 0x6bc68bb9), TOBN(0xe43d79b6, 0x297f7334), - TOBN(0x7d445368, 0x465dc97c), TOBN(0x4b9eea32, 0x2a0b949a), - TOBN(0x1b96c6ba, 0x6102d021), TOBN(0xeaafac78, 0x2f4461ea), - TOBN(0xd4b85c41, 0xc49f19a8), TOBN(0x275c28e4, 0xcf538875), - TOBN(0x35451a9d, 0xdd2e54e0), TOBN(0x6991adb5, 0x0605618b), - TOBN(0x5b8b4bcd, 0x7b36cd24), TOBN(0x372a4f8c, 0x56f37216), - TOBN(0xc890bd73, 0xa6a5da60), TOBN(0x6f083da0, 0xdc4c9ff0), - TOBN(0xf4e14d94, 0xf0536e57), TOBN(0xf9ee1eda, 0xaaec8243), - TOBN(0x571241ec, 0x8bdcf8e7), TOBN(0xa5db8271, 0x0b041e26), - TOBN(0x9a0b9a99, 0xe3fff040), TOBN(0xcaaf21dd, 0x7c271202), - TOBN(0xb4e2b2e1, 0x4f0dd2e8), TOBN(0xe77e7c4f, 0x0a377ac7), - TOBN(0x69202c3f, 0x0d7a2198), TOBN(0xf759b7ff, 0x28200eb8), - TOBN(0xc87526ed, 0xdcfe314e), TOBN(0xeb84c524, 0x53d5cf99), - TOBN(0xb1b52ace, 0x515138b6), TOBN(0x5aa7ff8c, 0x23fca3f4), - TOBN(0xff0b13c3, 0xb9791a26), TOBN(0x960022da, 0xcdd58b16), - TOBN(0xdbd55c92, 0x57aad2de), TOBN(0x3baaaaa3, 0xf30fe619), - TOBN(0x9a4b2346, 0x0d881efd), TOBN(0x506416c0, 0x46325e2a), - TOBN(0x91381e76, 0x035c18d4), TOBN(0xb3bb68be, 0xf27817b0), - TOBN(0x15bfb8bf, 0x5116f937), TOBN(0x7c64a586, 0xc1268943), - TOBN(0x71e25cc3, 0x8419a2c8), TOBN(0x9fd6b0c4, 0x8335f463), - TOBN(0x4bf0ba3c, 0xe8ee0e0e), TOBN(0x6f6fba60, 0x298c21fa), - TOBN(0x57d57b39, 0xae66bee0), TOBN(0x292d5130, 0x22672544), - TOBN(0xf451105d, 0xbab093b3), TOBN(0x012f59b9, 0x02839986), - TOBN(0x8a915802, 0x3474a89c), TOBN(0x048c919c, 0x2de03e97), - TOBN(0xc476a2b5, 0x91071cd5), TOBN(0x791ed89a, 0x034970a5), - TOBN(0x89bd9042, 0xe1b7994b), TOBN(0x8eaf5179, 0xa1057ffd), - TOBN(0x6066e2a2, 0xd551ee10), TOBN(0x87a8f1d8, 0x727e09a6), - TOBN(0x00d08bab, 0x2c01148d), TOBN(0x6da8e4f1, 0x424f33fe), - TOBN(0x466d17f0, 0xcf9a4e71), TOBN(0xff502010, 0x3bf5cb19), - TOBN(0xdccf97d8, 0xd062ecc0), TOBN(0x80c0d9af, 0x81d80ac4), - TOBN(0xe87771d8, 0x033f2876), TOBN(0xb0186ec6, 0x7d5cc3db), - TOBN(0x58e8bb80, 0x3bc9bc1d), TOBN(0x4d1395cc, 0x6f6ef60e), - TOBN(0xa73c62d6, 0x186244a0), TOBN(0x918e5f23, 0x110a5b53), - TOBN(0xed4878ca, 0x741b7eab), TOBN(0x3038d71a, 0xdbe03e51), - TOBN(0x840204b7, 0xa93c3246), TOBN(0x21ab6069, 0xa0b9b4cd), - TOBN(0xf5fa6e2b, 0xb1d64218), TOBN(0x1de6ad0e, 0xf3d56191), - TOBN(0x570aaa88, 0xff1929c7), TOBN(0xc6df4c6b, 0x640e87b5), - TOBN(0xde8a74f2, 0xc65f0ccc), TOBN(0x8b972fd5, 0xe6f6cc01), - TOBN(0x3fff36b6, 0x0b846531), TOBN(0xba7e45e6, 0x10a5e475), - TOBN(0x84a1d10e, 0x4145b6c5), TOBN(0xf1f7f91a, 0x5e046d9d), - TOBN(0x0317a692, 0x44de90d7), TOBN(0x951a1d4a, 0xf199c15e), - TOBN(0x91f78046, 0xc9d73deb), TOBN(0x74c82828, 0xfab8224f), - TOBN(0xaa6778fc, 0xe7560b90), TOBN(0xb4073e61, 0xa7e824ce), - TOBN(0xff0d693c, 0xd642eba8), TOBN(0x7ce2e57a, 0x5dccef38), - TOBN(0x89c2c789, 0x1df1ad46), TOBN(0x83a06922, 0x098346fd), - 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TOBN(0x9b6cd380, 0xb2369f0f), TOBN(0x97d3a70d, 0x23c76151), - TOBN(0x5f9dd6fc, 0x9862a9c6), TOBN(0x044c4ab2, 0x12312f51), - TOBN(0x035ea0fd, 0x834a2ddc), TOBN(0x49e6b862, 0xcc7b826d), - TOBN(0xb03d6883, 0x62fce490), TOBN(0x62f2497a, 0xb37e36e9), - TOBN(0x04b005b6, 0xc6458293), TOBN(0x36bb5276, 0xe8d10af7), - TOBN(0xacf2dc13, 0x8ee617b8), TOBN(0x470d2d35, 0xb004b3d4), - TOBN(0x06790832, 0xfeeb1b77), TOBN(0x2bb75c39, 0x85657f9c), - TOBN(0xd70bd4ed, 0xc0f60004), TOBN(0xfe797ecc, 0x219b018b), - TOBN(0x9b5bec2a, 0x753aebcc), TOBN(0xdaf9f3dc, 0xc939eca5), - TOBN(0xd6bc6833, 0xd095ad09), TOBN(0x98abdd51, 0xdaa4d2fc), - TOBN(0xd9840a31, 0x8d168be5), TOBN(0xcf7c10e0, 0x2325a23c), - TOBN(0xa5c02aa0, 0x7e6ecfaf), TOBN(0x2462e7e6, 0xb5bfdf18), - TOBN(0xab2d8a8b, 0xa0cc3f12), TOBN(0x68dd485d, 0xbc672a29), - TOBN(0x72039752, 0x596f2cd3), TOBN(0x5d3eea67, 0xa0cf3d8d), - TOBN(0x810a1a81, 0xe6602671), TOBN(0x8f144a40, 0x14026c0c), - TOBN(0xbc753a6d, 0x76b50f85), TOBN(0xc4dc21e8, 0x645cd4a4), - TOBN(0xc5262dea, 0x521d0378), TOBN(0x802b8e0e, 0x05011c6f), - 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TOBN(0x9b7ef7a3, 0xaa6d0e10), TOBN(0x17db2e73, 0xf54f1c4a), - TOBN(0xaf3dffae, 0x4cd35567), TOBN(0xaaa2f406, 0xe56f4e71), - TOBN(0x8966759e, 0x7ace3fc7), TOBN(0x9594eacf, 0x45a8d8c6), - TOBN(0x8de3bd8b, 0x91834e0e), TOBN(0xafe4ca53, 0x548c0421), - TOBN(0xfdd7e856, 0xe6ee81c6), TOBN(0x8f671beb, 0x6b891a3a), - TOBN(0xf7a58f2b, 0xfae63829), TOBN(0x9ab186fb, 0x9c11ac9f), - TOBN(0x8d6eb369, 0x10b5be76), TOBN(0x046b7739, 0xfb040bcd), - TOBN(0xccb4529f, 0xcb73de88), TOBN(0x1df0fefc, 0xcf26be03), - TOBN(0xad7757a6, 0xbcfcd027), TOBN(0xa8786c75, 0xbb3165ca), - TOBN(0xe9db1e34, 0x7e99a4d9), TOBN(0x99ee86df, 0xb06c504b), - TOBN(0x5b7c2ddd, 0xc15c9f0a), TOBN(0xdf87a734, 0x4295989e), - TOBN(0x59ece47c, 0x03d08fda), TOBN(0xb074d3dd, 0xad5fc702), - TOBN(0x20407903, 0x51a03776), TOBN(0x2bb1f77b, 0x2a608007), - TOBN(0x25c58f4f, 0xe1153185), TOBN(0xe6df62f6, 0x766e6447), - TOBN(0xefb3d1be, 0xed51275a), TOBN(0x5de47dc7, 0x2f0f483f), - TOBN(0x7932d98e, 0x97c2bedf), TOBN(0xd5c11927, 0x0219f8a1), - TOBN(0x9d751200, 0xa73a294e), TOBN(0x5f88434a, 0x9dc20172), - TOBN(0xd28d9fd3, 0xa26f506a), TOBN(0xa890cd31, 0x9d1dcd48), - TOBN(0x0aebaec1, 0x70f4d3b4), TOBN(0xfd1a1369, 0x0ffc8d00), - TOBN(0xb9d9c240, 0x57d57838), TOBN(0x45929d26, 0x68bac361), - TOBN(0x5a2cd060, 0x25b15ca6), TOBN(0x4b3c83e1, 0x6e474446), - TOBN(0x1aac7578, 0xee1e5134), TOBN(0xa418f5d6, 0xc91e2f41), - TOBN(0x6936fc8a, 0x213ed68b), TOBN(0x860ae7ed, 0x510a5224), - TOBN(0x63660335, 0xdef09b53), TOBN(0x641b2897, 0xcd79c98d), - TOBN(0x29bd38e1, 0x01110f35), TOBN(0x79c26f42, 0x648b1937), - TOBN(0x64dae519, 0x9d9164f4), TOBN(0xd85a2310, 0x0265c273), - TOBN(0x7173dd5d, 0x4b07e2b1), TOBN(0xd144c4cb, 0x8d9ea221), - TOBN(0xe8b04ea4, 0x1105ab14), TOBN(0x92dda542, 0xfe80d8f1), - TOBN(0xe9982fa8, 0xcf03dce6), TOBN(0x8b5ea965, 0x1a22cffc), - TOBN(0xf7f4ea7f, 0x3fad88c4), TOBN(0x62db773e, 0x6a5ba95c), - TOBN(0xd20f02fb, 0x93f24567), TOBN(0xfd46c69a, 0x315257ca), - TOBN(0x0ac74cc7, 0x8bcab987), TOBN(0x46f31c01, 0x5ceca2f5), - TOBN(0x40aedb59, 0x888b219e), TOBN(0xe50ecc37, 0xe1fccd02), - TOBN(0x1bcd9dad, 0x911f816c), TOBN(0x583cc1ec, 0x8db9b00c), - TOBN(0xf3cd2e66, 0xa483bf11), TOBN(0xfa08a6f5, 0xb1b2c169), - TOBN(0xf375e245, 0x4be9fa28), TOBN(0x99a7ffec, 0x5b6d011f), - TOBN(0x6a3ebddb, 0xc4ae62da), TOBN(0x6cea00ae, 0x374aef5d), - TOBN(0xab5fb98d, 0x9d4d05bc), TOBN(0x7cba1423, 0xd560f252), - TOBN(0x49b2cc21, 0x208490de), TOBN(0x1ca66ec3, 0xbcfb2879), - TOBN(0x7f1166b7, 0x1b6fb16f), TOBN(0xfff63e08, 0x65fe5db3), - TOBN(0xb8345abe, 0x8b2610be), TOBN(0xb732ed80, 0x39de3df4), - TOBN(0x0e24ed50, 0x211c32b4), TOBN(0xd10d8a69, 0x848ff27d), - TOBN(0xc1074398, 0xed4de248), TOBN(0xd7cedace, 0x10488927), - TOBN(0xa4aa6bf8, 0x85673e13), TOBN(0xb46bae91, 0x6daf30af), - TOBN(0x07088472, 0xfcef7ad8), TOBN(0x61151608, 0xd4b35e97), - TOBN(0xbcfe8f26, 0xdde29986), TOBN(0xeb84c4c7, 0xd5a34c79), - TOBN(0xc1eec55c, 0x164e1214), TOBN(0x891be86d, 0xa147bb03), - TOBN(0x9fab4d10, 0x0ba96835), TOBN(0xbf01e9b8, 0xa5c1ae9f), - TOBN(0x6b4de139, 0xb186ebc0), TOBN(0xd5c74c26, 0x85b91bca), - TOBN(0x5086a99c, 0xc2d93854), TOBN(0xeed62a7b, 0xa7a9dfbc), - TOBN(0x8778ed6f, 0x76b7618a), TOBN(0xbff750a5, 0x03b66062), - TOBN(0x4cb7be22, 0xb65186db), TOBN(0x369dfbf0, 0xcc3a6d13), - TOBN(0xc7dab26c, 0x7191a321), TOBN(0x9edac3f9, 0x40ed718e), - TOBN(0xbc142b36, 0xd0cfd183), TOBN(0xc8af82f6, 0x7c991693), - TOBN(0xb3d1e4d8, 0x97ce0b2a), TOBN(0xe6d7c87f, 0xc3a55cdf), - TOBN(0x35846b95, 0x68b81afe), TOBN(0x018d12af, 0xd3c239d8), - TOBN(0x2b2c6208, 0x01206e15), TOBN(0xe0e42453, 0xa3b882c6), - TOBN(0x854470a3, 0xa50162d5), TOBN(0x08157478, 0x7017a62a), - TOBN(0x18bd3fb4, 0x820357c7), TOBN(0x992039ae, 0x6f1458ad), - TOBN(0x9a1df3c5, 0x25b44aa1), TOBN(0x2d780357, 0xed3d5281), - TOBN(0x58cf7e4d, 0xc77ad4d4), TOBN(0xd49a7998, 0xf9df4fc4), - TOBN(0x4465a8b5, 0x1d71205e), TOBN(0xa0ee0ea6, 0x649254aa), - TOBN(0x4b5eeecf, 0xab7bd771), TOBN(0x6c873073, 0x35c262b9), - TOBN(0xdc5bd648, 0x3c9d61e7), TOBN(0x233d6d54, 0x321460d2), - TOBN(0xd20c5626, 0xfc195bcc), TOBN(0x25445958, 0x04d78b63), - TOBN(0xe03fcb3d, 0x17ec8ef3), TOBN(0x54b690d1, 0x46b8f781), - TOBN(0x82fa2c8a, 0x21230646), TOBN(0xf51aabb9, 0x084f418c), - TOBN(0xff4fbec1, 0x1a30ba43), TOBN(0x6a5acf73, 0x743c9df7), - TOBN(0x1da2b357, 0xd635b4d5), TOBN(0xc3de68dd, 0xecd5c1da), - TOBN(0xa689080b, 0xd61af0dd), TOBN(0xdea5938a, 0xd665bf99), - TOBN(0x0231d71a, 0xfe637294), TOBN(0x01968aa6, 0xa5a81cd8), - TOBN(0x11252d50, 0x048e63b5), TOBN(0xc446bc52, 0x6ca007e9), - TOBN(0xef8c50a6, 0x96d6134b), TOBN(0x9361fbf5, 0x9e09a05c), - TOBN(0xf17f85a6, 0xdca3291a), TOBN(0xb178d548, 0xff251a21), - TOBN(0x87f6374b, 0xa4df3915), TOBN(0x566ce1bf, 0x2fd5d608), - TOBN(0x425cba4d, 0x7de35102), TOBN(0x6b745f8f, 0x58c5d5e2), - TOBN(0x88402af6, 0x63122edf), TOBN(0x3190f9ed, 0x3b989a89), - TOBN(0x4ad3d387, 0xebba3156), TOBN(0xef385ad9, 0xc7c469a5), - TOBN(0xb08281de, 0x3f642c29), TOBN(0x20be0888, 0x910ffb88), - TOBN(0xf353dd4a, 0xd5292546), TOBN(0x3f1627de, 0x8377a262), - TOBN(0xa5faa013, 0xeefcd638), TOBN(0x8f3bf626, 0x74cc77c3), - TOBN(0x32618f65, 0xa348f55e), TOBN(0x5787c0dc, 0x9fefeb9e), - TOBN(0xf1673aa2, 0xd9a23e44), TOBN(0x88dfa993, 0x4e10690d), - TOBN(0x1ced1b36, 0x2bf91108), TOBN(0x9193ceca, 0x3af48649), - TOBN(0xfb34327d, 0x2d738fc5), TOBN(0x6697b037, 0x975fee6c), - TOBN(0x2f485da0, 0xc04079a5), TOBN(0x2cdf5735, 0x2feaa1ac), - TOBN(0x76944420, 0xbd55659e), TOBN(0x7973e32b, 0x4376090c), - TOBN(0x86bb4fe1, 0x163b591a), TOBN(0x10441aed, 0xc196f0ca), - TOBN(0x3b431f4a, 0x045ad915), TOBN(0x6c11b437, 0xa4afacb1), - TOBN(0x30b0c7db, 0x71fdbbd8), TOBN(0xb642931f, 0xeda65acd), - TOBN(0x4baae6e8, 0x9c92b235), TOBN(0xa73bbd0e, 0x6b3993a1), - TOBN(0xd06d60ec, 0x693dd031), TOBN(0x03cab91b, 0x7156881c), - TOBN(0xd615862f, 0x1db3574b), TOBN(0x485b0185, 0x64bb061a), - TOBN(0x27434988, 0xa0181e06), TOBN(0x2cd61ad4, 0xc1c0c757), - TOBN(0x3effed5a, 0x2ff9f403), TOBN(0x8dc98d8b, 0x62239029), - TOBN(0x2206021e, 0x1f17b70d), TOBN(0xafbec0ca, 0xbf510015), - TOBN(0x9fed7164, 0x80130dfa), TOBN(0x306dc2b5, 0x8a02dcf5), - TOBN(0x48f06620, 0xfeb10fc0), TOBN(0x78d1e1d5, 0x5a57cf51), - TOBN(0xadef8c5a, 0x192ef710), TOBN(0x88afbd4b, 0x3b7431f9), - TOBN(0x7e1f7407, 0x64250c9e), TOBN(0x6e31318d, 0xb58bec07), - TOBN(0xfd4fc4b8, 0x24f89b4e), TOBN(0x65a5dd88, 0x48c36a2a), - TOBN(0x4f1eccff, 0xf024baa7), TOBN(0x22a21cf2, 0xcba94650), - TOBN(0x95d29dee, 0x42a554f7), TOBN(0x828983a5, 0x002ec4ba), - TOBN(0x8112a1f7, 0x8badb73d), TOBN(0x79ea8897, 0xa27c1839), - TOBN(0x8969a5a7, 0xd065fd83), TOBN(0xf49af791, 0xb262a0bc), - TOBN(0xfcdea8b6, 0xaf2b5127), TOBN(0x10e913e1, 0x564c2dbc), - TOBN(0x51239d14, 0xbc21ef51), TOBN(0xe51c3ceb, 0x4ce57292), - TOBN(0x795ff068, 0x47bbcc3b), TOBN(0x86b46e1e, 0xbd7e11e6), - TOBN(0x0ea6ba23, 0x80041ef4), TOBN(0xd72fe505, 0x6262342e), - TOBN(0x8abc6dfd, 0x31d294d4), TOBN(0xbbe017a2, 0x1278c2c9), - TOBN(0xb1fcfa09, 0xb389328a), TOBN(0x322fbc62, 0xd01771b5), - TOBN(0x04c0d063, 0x60b045bf), TOBN(0xdb652edc, 0x10e52d01), - TOBN(0x50ef932c, 0x03ec6627), TOBN(0xde1b3b2d, 0xc1ee50e3), - TOBN(0x5ab7bdc5, 0xdc37a90d), TOBN(0xfea67213, 0x31e33a96), - TOBN(0x6482b5cb, 0x4f2999aa), TOBN(0x38476cc6, 0xb8cbf0dd), - TOBN(0x93ebfacb, 0x173405bb), TOBN(0x15cdafe7, 0xe52369ec), - TOBN(0xd42d5ba4, 0xd935b7db), TOBN(0x648b6004, 0x1c99a4cd), - TOBN(0x785101bd, 0xa3b5545b), TOBN(0x4bf2c38a, 0x9dd67faf), - TOBN(0xb1aadc63, 0x4442449c), TOBN(0xe0e9921a, 0x33ad4fb8), - TOBN(0x5c552313, 0xaa686d82), TOBN(0xdee635fa, 0x465d866c), - TOBN(0xbc3c224a, 0x18ee6e8a), TOBN(0xeed748a6, 0xed42e02f), - TOBN(0xe70f930a, 0xd474cd08), TOBN(0x774ea6ec, 0xfff24adf), - TOBN(0x03e2de1c, 0xf3480d4a), TOBN(0xf0d8edc7, 0xbc8acf1a), - TOBN(0xf23e3303, 0x68295a9c), TOBN(0xfadd5f68, 0xc546a97d), - TOBN(0x895597ad, 0x96f8acb1), TOBN(0xbddd49d5, 0x671bdae2), - TOBN(0x16fcd528, 0x21dd43f4), TOBN(0xa5a45412, 0x6619141a)} - , - {TOBN(0x8ce9b6bf, 0xc360e25a), TOBN(0xe6425195, 0x075a1a78), - TOBN(0x9dc756a8, 0x481732f4), TOBN(0x83c0440f, 0x5432b57a), - TOBN(0xc670b3f1, 0xd720281f), TOBN(0x2205910e, 0xd135e051), - TOBN(0xded14b0e, 0xdb052be7), TOBN(0x697b3d27, 0xc568ea39), - TOBN(0x2e599b9a, 0xfb3ff9ed), TOBN(0x28c2e0ab, 0x17f6515c), - TOBN(0x1cbee4fd, 0x474da449), TOBN(0x071279a4, 0x4f364452), - TOBN(0x97abff66, 0x01fbe855), TOBN(0x3ee394e8, 0x5fda51c4), - TOBN(0x190385f6, 0x67597c0b), TOBN(0x6e9fccc6, 0xa27ee34b), - TOBN(0x0b89de93, 0x14092ebb), TOBN(0xf17256bd, 0x428e240c), - TOBN(0xcf89a7f3, 0x93d2f064), TOBN(0x4f57841e, 0xe1ed3b14), - TOBN(0x4ee14405, 0xe708d855), TOBN(0x856aae72, 0x03f1c3d0), - TOBN(0xc8e5424f, 0xbdd7eed5), TOBN(0x3333e4ef, 0x73ab4270), - TOBN(0x3bc77ade, 0xdda492f8), TOBN(0xc11a3aea, 0x78297205), - TOBN(0x5e89a3e7, 0x34931b4c), TOBN(0x17512e2e, 0x9f5694bb), - TOBN(0x5dc349f3, 0x177bf8b6), TOBN(0x232ea4ba, 0x08c7ff3e), - TOBN(0x9c4f9d16, 0xf511145d), TOBN(0xccf109a3, 0x33b379c3), - TOBN(0xe75e7a88, 0xa1f25897), TOBN(0x7ac6961f, 0xa1b5d4d8), - TOBN(0xe3e10773, 0x08f3ed5c), TOBN(0x208a54ec, 0x0a892dfb), - TOBN(0xbe826e19, 0x78660710), TOBN(0x0cf70a97, 0x237df2c8), - TOBN(0x418a7340, 0xed704da5), TOBN(0xa3eeb9a9, 0x08ca33fd), - TOBN(0x49d96233, 0x169bca96), TOBN(0x04d286d4, 0x2da6aafb), - TOBN(0xc09606ec, 0xa0c2fa94), TOBN(0x8869d0d5, 0x23ff0fb3), - TOBN(0xa99937e5, 0xd0150d65), TOBN(0xa92e2503, 0x240c14c9), - TOBN(0x656bf945, 0x108e2d49), TOBN(0x152a733a, 0xa2f59e2b), - TOBN(0xb4323d58, 0x8434a920), TOBN(0xc0af8e93, 0x622103c5), - TOBN(0x667518ef, 0x938dbf9a), TOBN(0xa1843073, 0x83a9cdf2), - TOBN(0x350a94aa, 0x5447ab80), TOBN(0xe5e5a325, 0xc75a3d61), - TOBN(0x74ba507f, 0x68411a9e), TOBN(0x10581fc1, 0x594f70c5), - TOBN(0x60e28570, 0x80eb24a9), TOBN(0x7bedfb4d, 0x488e0cfd), - TOBN(0x721ebbd7, 0xc259cdb8), TOBN(0x0b0da855, 0xbc6390a9), - TOBN(0x2b4d04db, 0xde314c70), TOBN(0xcdbf1fbc, 0x6c32e846), - TOBN(0x33833eab, 0xb162fc9e), TOBN(0x9939b48b, 0xb0dd3ab7), - TOBN(0x5aaa98a7, 0xcb0c9c8c), TOBN(0x75105f30, 0x81c4375c), - TOBN(0xceee5057, 0x5ef1c90f), TOBN(0xb31e065f, 0xc23a17bf), - TOBN(0x5364d275, 0xd4b6d45a), TOBN(0xd363f3ad, 0x62ec8996), - TOBN(0xb5d21239, 0x4391c65b), TOBN(0x84564765, 0xebb41b47), - TOBN(0x20d18ecc, 0x37107c78), TOBN(0xacff3b6b, 0x570c2a66), - TOBN(0x22f975d9, 0x9bd0d845), TOBN(0xef0a0c46, 0xba178fa0), - TOBN(0x1a419651, 0x76b6028e), TOBN(0xc49ec674, 0x248612d4), - TOBN(0x5b6ac4f2, 0x7338af55), TOBN(0x06145e62, 0x7bee5a36), - TOBN(0x33e95d07, 0xe75746b5), TOBN(0x1c1e1f6d, 0xc40c78be), - TOBN(0x967833ef, 0x222ff8e2), TOBN(0x4bedcf6a, 0xb49180ad), - TOBN(0x6b37e9c1, 0x3d7a4c8a), TOBN(0x2748887c, 0x6ddfe760), - TOBN(0xf7055123, 0xaa3a5bbc), TOBN(0x954ff225, 0x7bbb8e74), - TOBN(0xc42b8ab1, 0x97c3dfb9), TOBN(0x55a549b0, 0xcf168154), - TOBN(0xad6748e7, 0xc1b50692), TOBN(0x2775780f, 0x6fc5cbcb), - TOBN(0x4eab80b8, 0xe1c9d7c8), TOBN(0x8c69dae1, 0x3fdbcd56), - TOBN(0x47e6b4fb, 0x9969eace), TOBN(0x002f1085, 0xa705cb5a), - TOBN(0x4e23ca44, 0x6d3fea55), TOBN(0xb4ae9c86, 0xf4810568), - TOBN(0x47bfb91b, 0x2a62f27d), TOBN(0x60deb4c9, 0xd9bac28c), - TOBN(0xa892d894, 0x7de6c34c), TOBN(0x4ee68259, 0x4494587d), - TOBN(0x914ee14e, 0x1a3f8a5b), TOBN(0xbb113eaa, 0x28700385), - TOBN(0x81ca03b9, 0x2115b4c9), TOBN(0x7c163d38, 0x8908cad1), - TOBN(0xc912a118, 0xaa18179a), TOBN(0xe09ed750, 0x886e3081), - TOBN(0xa676e3fa, 0x26f516ca), TOBN(0x753cacf7, 0x8e732f91), - TOBN(0x51592aea, 0x833da8b4), TOBN(0xc626f42f, 0x4cbea8aa), - TOBN(0xef9dc899, 0xa7b56eaf), TOBN(0x00c0e52c, 0x34ef7316), - TOBN(0x5b1e4e24, 0xfe818a86), TOBN(0x9d31e20d, 0xc538be47), - TOBN(0x22eb932d, 0x3ed68974), TOBN(0xe44bbc08, 0x7c4e87c4), - TOBN(0x4121086e, 0x0dde9aef), TOBN(0x8e6b9cff, 0x134f4345), - TOBN(0x96892c1f, 0x711b0eb9), TOBN(0xb905f2c8, 0x780ab954), - TOBN(0xace26309, 0xa20792db), TOBN(0xec8ac9b3, 0x0684e126), - TOBN(0x486ad8b6, 0xb40a2447), TOBN(0x60121fc1, 0x9fe3fb24), - TOBN(0x5626fccf, 0x1a8e3b3f), TOBN(0x4e568622, 0x6ad1f394), - TOBN(0xda7aae0d, 0x196aa5a1), TOBN(0xe0df8c77, 0x1041b5fb), - TOBN(0x451465d9, 0x26b318b7), TOBN(0xc29b6e55, 0x7ab136e9), - TOBN(0x2c2ab48b, 0x71148463), TOBN(0xb5738de3, 0x64454a76), - TOBN(0x54ccf9a0, 0x5a03abe4), TOBN(0x377c0296, 0x0427d58e), - TOBN(0x73f5f0b9, 0x2bb39c1f), TOBN(0x14373f2c, 0xe608d8c5), - TOBN(0xdcbfd314, 0x00fbb805), TOBN(0xdf18fb20, 0x83afdcfb), - TOBN(0x81a57f42, 0x42b3523f), TOBN(0xe958532d, 0x87f650fb), - TOBN(0xaa8dc8b6, 0x8b0a7d7c), TOBN(0x1b75dfb7, 0x150166be), - TOBN(0x90e4f7c9, 0x2d7d1413), TOBN(0x67e2d6b5, 0x9834f597), - TOBN(0x4fd4f4f9, 0xa808c3e8), TOBN(0xaf8237e0, 0xd5281ec1), - TOBN(0x25ab5fdc, 0x84687cee), TOBN(0xc5ded6b1, 0xa5b26c09), - TOBN(0x8e4a5aec, 0xc8ea7650), TOBN(0x23b73e5c, 0x14cc417f), - TOBN(0x2bfb4318, 0x3037bf52), TOBN(0xb61e6db5, 0x78c725d7), - TOBN(0x8efd4060, 0xbbb3e5d7), TOBN(0x2e014701, 0xdbac488e), - TOBN(0xac75cf9a, 0x360aa449), TOBN(0xb70cfd05, 0x79634d08), - TOBN(0xa591536d, 0xfffb15ef), TOBN(0xb2c37582, 0xd07c106c), - TOBN(0xb4293fdc, 0xf50225f9), TOBN(0xc52e175c, 0xb0e12b03), - TOBN(0xf649c3ba, 0xd0a8bf64), TOBN(0x745a8fef, 0xeb8ae3c6), - TOBN(0x30d7e5a3, 0x58321bc3), TOBN(0xb1732be7, 0x0bc4df48), - TOBN(0x1f217993, 0xe9ea5058), TOBN(0xf7a71cde, 0x3e4fd745), - TOBN(0x86cc533e, 0x894c5bbb), TOBN(0x6915c7d9, 0x69d83082), - TOBN(0xa6aa2d05, 0x5815c244), TOBN(0xaeeee592, 0x49b22ce5), - TOBN(0x89e39d13, 0x78135486), TOBN(0x3a275c1f, 0x16b76f2f), - TOBN(0xdb6bcc1b, 0xe036e8f5), TOBN(0x4df69b21, 0x5e4709f5), - TOBN(0xa188b250, 0x2d0f39aa), TOBN(0x622118bb, 0x15a85947), - TOBN(0x2ebf520f, 0xfde0f4fa), TOBN(0xa40e9f29, 0x4860e539), - TOBN(0x7b6a51eb, 0x22b57f0f), TOBN(0x849a33b9, 0x7e80644a), - TOBN(0x50e5d16f, 0x1cf095fe), TOBN(0xd754b54e, 0xec55f002), - TOBN(0x5cfbbb22, 0x236f4a98), TOBN(0x0b0c59e9, 0x066800bb), - TOBN(0x4ac69a8f, 0x5a9a7774), TOBN(0x2b33f804, 0xd6bec948), - TOBN(0xb3729295, 0x32e6c466), TOBN(0x68956d0f, 0x4e599c73), - TOBN(0xa47a249f, 0x155c31cc), TOBN(0x24d80f0d, 0xe1ce284e), - TOBN(0xcd821dfb, 0x988baf01), TOBN(0xe6331a7d, 0xdbb16647), - TOBN(0x1eb8ad33, 0x094cb960), TOBN(0x593cca38, 0xc91bbca5), - TOBN(0x384aac8d, 0x26567456), TOBN(0x40fa0309, 0xc04b6490), - TOBN(0x97834cd6, 0xdab6c8f6), TOBN(0x68a7318d, 0x3f91e55f), - TOBN(0xa00fd04e, 0xfc4d3157), TOBN(0xb56f8ab2, 0x2bf3bdea), - TOBN(0x014f5648, 0x4fa57172), TOBN(0x948c5860, 0x450abdb3), - TOBN(0x342b5df0, 0x0ebd4f08), TOBN(0x3e5168cd, 0x0e82938e), - TOBN(0x7aedc1ce, 0xb0df5dd0), TOBN(0x6bbbc6d9, 0xe5732516), - TOBN(0xc7bfd486, 0x605daaa6), TOBN(0x46fd72b7, 0xbb9a6c9e), - TOBN(0xe4847fb1, 0xa124fb89), TOBN(0x75959cbd, 0xa2d8ffbc), - TOBN(0x42579f65, 0xc8a588ee), TOBN(0x368c92e6, 0xb80b499d), - TOBN(0xea4ef6cd, 0x999a5df1), TOBN(0xaa73bb7f, 0x936fe604), - TOBN(0xf347a70d, 0x6457d188), TOBN(0x86eda86b, 0x8b7a388b), - TOBN(0xb7cdff06, 0x0ccd6013), TOBN(0xbeb1b6c7, 0xd0053fb2), - TOBN(0x0b022387, 0x99240a9f), TOBN(0x1bbb384f, 0x776189b2), - TOBN(0x8695e71e, 0x9066193a), TOBN(0x2eb50097, 0x06ffac7e), - TOBN(0x0654a9c0, 0x4a7d2caa), TOBN(0x6f3fb3d1, 0xa5aaa290), - TOBN(0x835db041, 0xff476e8f), TOBN(0x540b8b0b, 0xc42295e4), - TOBN(0xa5c73ac9, 0x05e214f5), TOBN(0x9a74075a, 0x56a0b638), - TOBN(0x2e4b1090, 0xce9e680b), TOBN(0x57a5b479, 0x6b8d9afa), - TOBN(0x0dca48e7, 0x26bfe65c), TOBN(0x097e391c, 0x7290c307), - TOBN(0x683c462e, 0x6669e72e), TOBN(0xf505be1e, 0x062559ac), - TOBN(0x5fbe3ea1, 0xe3a3035a), TOBN(0x6431ebf6, 0x9cd50da8), - TOBN(0xfd169d5c, 0x1f6407f2), TOBN(0x8d838a95, 0x60fce6b8), - TOBN(0x2a2bfa7f, 0x650006f0), TOBN(0xdfd7dad3, 0x50c0fbb2), - TOBN(0x92452495, 0xccf9ad96), TOBN(0x183bf494, 0xd95635f9), - TOBN(0x02d5df43, 0x4a7bd989), TOBN(0x505385cc, 0xa5431095), - TOBN(0xdd98e67d, 0xfd43f53e), TOBN(0xd61e1a6c, 0x500c34a9), - TOBN(0x5a4b46c6, 0x4a8a3d62), TOBN(0x8469c4d0, 0x247743d2), - TOBN(0x2bb3a13d, 0x88f7e433), TOBN(0x62b23a10, 0x01be5849), - TOBN(0xe83596b4, 0xa63d1a4c), TOBN(0x454e7fea, 0x7d183f3e), - TOBN(0x643fce61, 0x17afb01c), TOBN(0x4e65e5e6, 0x1c4c3638), - TOBN(0x41d85ea1, 0xef74c45b), TOBN(0x2cfbfa66, 0xae328506), - TOBN(0x98b078f5, 0x3ada7da9), TOBN(0xd985fe37, 0xec752fbb), - TOBN(0xeece68fe, 0x5a0148b4), TOBN(0x6f9a55c7, 0x2d78136d), - TOBN(0x232dccc4, 0xd2b729ce), TOBN(0xa27e0dfd, 0x90aafbc4), - TOBN(0x96474452, 0x12b4603e), TOBN(0xa876c551, 0x6b706d14), - TOBN(0xdf145fcf, 0x69a9d412), TOBN(0xe2ab75b7, 0x2d479c34), - TOBN(0x12df9a76, 0x1a23ff97), TOBN(0xc6138992, 0x5d359d10), - TOBN(0x6e51c7ae, 0xfa835f22), TOBN(0x69a79cb1, 0xc0fcc4d9), - TOBN(0xf57f350d, 0x594cc7e1), TOBN(0x3079ca63, 0x3350ab79), - TOBN(0x226fb614, 0x9aff594a), TOBN(0x35afec02, 0x6d59a62b), - TOBN(0x9bee46f4, 0x06ed2c6e), TOBN(0x58da1735, 0x7d939a57), - TOBN(0x44c50402, 0x8fd1797e), TOBN(0xd8853e7c, 0x5ccea6ca), - TOBN(0x4065508d, 0xa35fcd5f), TOBN(0x8965df8c, 0x495ccaeb), - TOBN(0x0f2da850, 0x12e1a962), TOBN(0xee471b94, 0xc1cf1cc4), - TOBN(0xcef19bc8, 0x0a08fb75), TOBN(0x704958f5, 0x81de3591), - TOBN(0x2867f8b2, 0x3aef4f88), TOBN(0x8d749384, 0xea9f9a5f), - TOBN(0x1b385537, 0x8c9049f4), TOBN(0x5be948f3, 0x7b92d8b6), - TOBN(0xd96f725d, 0xb6e2bd6b), TOBN(0x37a222bc, 0x958c454d), - TOBN(0xe7c61abb, 0x8809bf61), TOBN(0x46f07fbc, 0x1346f18d), - TOBN(0xfb567a7a, 0xe87c0d1c), TOBN(0x84a461c8, 0x7ef3d07a), - TOBN(0x0a5adce6, 0xd9278d98), TOBN(0x24d94813, 0x9dfc73e1), - TOBN(0x4f3528b6, 0x054321c3), TOBN(0x2e03fdde, 0x692ea706), - TOBN(0x10e60619, 0x47b533c0), TOBN(0x1a8bc73f, 0x2ca3c055), - TOBN(0xae58d4b2, 0x1bb62b8f), TOBN(0xb2045a73, 0x584a24e3), - TOBN(0x3ab3d5af, 0xbd76e195), TOBN(0x478dd1ad, 0x6938a810), - TOBN(0x6ffab393, 0x6ee3d5cb), TOBN(0xdfb693db, 0x22b361e4), - TOBN(0xf9694496, 0x51dbf1a7), TOBN(0xcab4b4ef, 0x08a2e762), - TOBN(0xe8c92f25, 0xd39bba9a), TOBN(0x850e61bc, 0xf1464d96), - TOBN(0xb7e830e3, 0xdc09508b), TOBN(0xfaf6d2cf, 0x74317655), - TOBN(0x72606ceb, 0xdf690355), TOBN(0x48bb92b3, 0xd0c3ded6), - TOBN(0x65b75484, 0x5c7cf892), TOBN(0xf6cd7ac9, 0xd5d5f01f), - TOBN(0xc2c30a59, 0x96401d69), TOBN(0x91268650, 0xed921878), - TOBN(0x380bf913, 0xb78c558f), TOBN(0x43c0baeb, 0xc8afdaa9), - TOBN(0x377f61d5, 0x54f169d3), TOBN(0xf8da07e3, 0xae5ff20b), - TOBN(0xb676c49d, 0xa8a90ea8), TOBN(0x81c1ff2b, 0x83a29b21), - TOBN(0x383297ac, 0x2ad8d276), TOBN(0x3001122f, 0xba89f982), - TOBN(0xe1d794be, 0x6718e448), TOBN(0x246c1482, 0x7c3e6e13), - TOBN(0x56646ef8, 0x5d26b5ef), TOBN(0x80f5091e, 0x88069cdd), - TOBN(0xc5992e2f, 0x724bdd38), TOBN(0x02e915b4, 0x8471e8c7), - TOBN(0x96ff320a, 0x0d0ff2a9), TOBN(0xbf886487, 0x4384d1a0), - TOBN(0xbbe1e6a6, 0xc93f72d6), TOBN(0xd5f75d12, 0xcad800ea), - TOBN(0xfa40a09f, 0xe7acf117), TOBN(0x32c8cdd5, 0x7581a355), - TOBN(0x74221992, 0x7023c499), TOBN(0xa8afe5d7, 0x38ec3901), - TOBN(0x5691afcb, 0xa90e83f0), TOBN(0x41bcaa03, 0x0b8f8eac), - TOBN(0xe38b5ff9, 0x8d2668d5), TOBN(0x0715281a, 0x7ad81965), - TOBN(0x1bc8fc7c, 0x03c6ce11), TOBN(0xcbbee6e2, 0x8b650436), - TOBN(0x06b00fe8, 0x0cdb9808), TOBN(0x17d6e066, 0xfe3ed315), - TOBN(0x2e9d38c6, 0x4d0b5018), TOBN(0xab8bfd56, 0x844dcaef), - TOBN(0x42894a59, 0x513aed8b), TOBN(0xf77f3b6d, 0x314bd07a), - TOBN(0xbbdecb8f, 0x8e42b582), TOBN(0xf10e2fa8, 0xd2390fe6), - TOBN(0xefb95022, 0x62a2f201), TOBN(0x4d59ea50, 0x50ee32b0), - TOBN(0xd87f7728, 0x6da789a8), TOBN(0xcf98a2cf, 0xf79492c4), - TOBN(0xf9577239, 0x720943c2), TOBN(0xba044cf5, 0x3990b9d0), - TOBN(0x5aa8e823, 0x95f2884a), TOBN(0x834de6ed, 0x0278a0af), - TOBN(0xc8e1ee9a, 0x5f25bd12), TOBN(0x9259ceaa, 0x6f7ab271), - TOBN(0x7e6d97a2, 0x77d00b76), TOBN(0x5c0c6eea, 0xa437832a), - TOBN(0x5232c20f, 0x5606b81d), TOBN(0xabd7b375, 0x0d991ee5), - TOBN(0x4d2bfe35, 0x8632d951), TOBN(0x78f85146, 0x98ed9364), - TOBN(0x951873f0, 0xf30c3282), TOBN(0x0da8ac80, 0xa789230b), - TOBN(0x3ac7789c, 0x5398967f), TOBN(0xa69b8f7f, 0xbdda0fb5), - TOBN(0xe5db7717, 0x6add8545), TOBN(0x1b71cb66, 0x72c49b66), - TOBN(0xd8560739, 0x68421d77), TOBN(0x03840fe8, 0x83e3afea), - TOBN(0xb391dad5, 0x1ec69977), TOBN(0xae243fb9, 0x307f6726), - TOBN(0xc88ac87b, 0xe8ca160c), TOBN(0x5174cced, 0x4ce355f4), - TOBN(0x98a35966, 0xe58ba37d), TOBN(0xfdcc8da2, 0x7817335d), - TOBN(0x5b752830, 0x83fbc7bf), TOBN(0x68e419d4, 0xd9c96984), - TOBN(0x409a39f4, 0x02a40380), TOBN(0x88940faf, 0x1fe977bc), - TOBN(0xc640a94b, 0x8f8edea6), TOBN(0x1e22cd17, 0xed11547d), - TOBN(0xe28568ce, 0x59ffc3e2), TOBN(0x60aa1b55, 0xc1dee4e7), - TOBN(0xc67497c8, 0x837cb363), TOBN(0x06fb438a, 0x105a2bf2), - TOBN(0x30357ec4, 0x500d8e20), TOBN(0x1ad9095d, 0x0670db10), - TOBN(0x7f589a05, 0xc73b7cfd), TOBN(0xf544607d, 0x880d6d28), - TOBN(0x17ba93b1, 0xa20ef103), TOBN(0xad859130, 0x6ba6577b), - TOBN(0x65c91cf6, 0x6fa214a0), TOBN(0xd7d49c6c, 0x27990da5), - TOBN(0xecd9ec8d, 0x20bb569d), TOBN(0xbd4b2502, 0xeeffbc33), - TOBN(0x2056ca5a, 0x6bed0467), TOBN(0x7916a1f7, 0x5b63728c), - TOBN(0xd4f9497d, 0x53a4f566), TOBN(0x89734664, 0x97b56810), - TOBN(0xf8e1da74, 0x0494a621), TOBN(0x82546a93, 0x8d011c68), - TOBN(0x1f3acb19, 0xc61ac162), TOBN(0x52f8fa9c, 0xabad0d3e), - TOBN(0x15356523, 0xb4b7ea43), TOBN(0x5a16ad61, 0xae608125), - TOBN(0xb0bcb87f, 0x4faed184), TOBN(0x5f236b1d, 0x5029f45f), - TOBN(0xd42c7607, 0x0bc6b1fc), TOBN(0xc644324e, 0x68aefce3), - TOBN(0x8e191d59, 0x5c5d8446), TOBN(0xc0208077, 0x13ae1979), - TOBN(0xadcaee55, 0x3ba59cc7), TOBN(0x20ed6d6b, 0xa2cb81ba), - TOBN(0x0952ba19, 0xb6efcffc), TOBN(0x60f12d68, 0x97c0b87c), - TOBN(0x4ee2c7c4, 0x9caa30bc), TOBN(0x767238b7, 0x97fbff4e), - TOBN(0xebc73921, 0x501b5d92), TOBN(0x3279e3df, 0xc2a37737), - TOBN(0x9fc12bc8, 0x6d197543), TOBN(0xfa94dc6f, 0x0a40db4e), - TOBN(0x7392b41a, 0x530ccbbd), TOBN(0x87c82146, 0xea823525), - TOBN(0xa52f984c, 0x05d98d0c), TOBN(0x2ae57d73, 0x5ef6974c), - TOBN(0x9377f7bf, 0x3042a6dd), TOBN(0xb1a007c0, 0x19647a64), - TOBN(0xfaa9079a, 0x0cca9767), TOBN(0x3d81a25b, 0xf68f72d5), - TOBN(0x752067f8, 0xff81578e), TOBN(0x78622150, 0x9045447d), - TOBN(0xc0c22fcf, 0x0505aa6f), TOBN(0x1030f0a6, 0x6bed1c77), - TOBN(0x31f29f15, 0x1f0bd739), TOBN(0x2d7989c7, 0xe6debe85), - TOBN(0x5c070e72, 0x8e677e98), TOBN(0x0a817bd3, 0x06e81fd5), - TOBN(0xc110d830, 0xb0f2ac95), TOBN(0x48d0995a, 0xab20e64e), - TOBN(0x0f3e00e1, 0x7729cd9a), TOBN(0x2a570c20, 0xdd556946), - TOBN(0x912dbcfd, 0x4e86214d), TOBN(0x2d014ee2, 0xcf615498), - TOBN(0x55e2b1e6, 0x3530d76e), TOBN(0xc5135ae4, 0xfd0fd6d1), - TOBN(0x0066273a, 0xd4f3049f), TOBN(0xbb8e9893, 0xe7087477), - TOBN(0x2dba1ddb, 0x14c6e5fd), TOBN(0xdba37886, 0x51f57e6c), - TOBN(0x5aaee0a6, 0x5a72f2cf), TOBN(0x1208bfbf, 0x7bea5642), - TOBN(0xf5c6aa3b, 0x67872c37), TOBN(0xd726e083, 0x43f93224), - TOBN(0x1854daa5, 0x061f1658), TOBN(0xc0016df1, 0xdf0cd2b3), - TOBN(0xc2a3f23e, 0x833d50de), TOBN(0x73b681d2, 0xbbbd3017), - TOBN(0x2f046dc4, 0x3ac343c0), TOBN(0x9c847e7d, 0x85716421), - TOBN(0xe1e13c91, 0x0917eed4), TOBN(0x3fc9eebd, 0x63a1b9c6), - TOBN(0x0f816a72, 0x7fe02299), TOBN(0x6335ccc2, 0x294f3319), - TOBN(0x3820179f, 0x4745c5be), TOBN(0xe647b782, 0x922f066e), - TOBN(0xc22e49de, 0x02cafb8a), TOBN(0x299bc2ff, 0xfcc2eccc), - TOBN(0x9a8feea2, 0x6e0e8282), TOBN(0xa627278b, 0xfe893205), - TOBN(0xa7e19733, 0x7933e47b), TOBN(0xf4ff6b13, 0x2e766402), - TOBN(0xa4d8be0a, 0x98440d9f), TOBN(0x658f5c2f, 0x38938808), - TOBN(0x90b75677, 0xc95b3b3e), TOBN(0xfa044269, 0x3137b6ff), - TOBN(0x077b039b, 0x43c47c29), TOBN(0xcca95dd3, 0x8a6445b2), - TOBN(0x0b498ba4, 0x2333fc4c), TOBN(0x274f8e68, 0xf736a1b1), - TOBN(0x6ca348fd, 0x5f1d4b2e), TOBN(0x24d3be78, 0xa8f10199), - TOBN(0x8535f858, 0xca14f530), TOBN(0xa6e7f163, 0x5b982e51), - TOBN(0x847c8512, 0x36e1bf62), TOBN(0xf6a7c58e, 0x03448418), - TOBN(0x583f3703, 0xf9374ab6), TOBN(0x864f9195, 0x6e564145), - TOBN(0x33bc3f48, 0x22526d50), TOBN(0x9f323c80, 0x1262a496), - TOBN(0xaa97a7ae, 0x3f046a9a), TOBN(0x70da183e, 0xdf8a039a), - TOBN(0x5b68f71c, 0x52aa0ba6), TOBN(0x9be0fe51, 0x21459c2d), - TOBN(0xc1e17eb6, 0xcbc613e5), TOBN(0x33131d55, 0x497ea61c), - TOBN(0x2f69d39e, 0xaf7eded5), TOBN(0x73c2f434, 0xde6af11b), - TOBN(0x4ca52493, 0xa4a375fa), TOBN(0x5f06787c, 0xb833c5c2), - TOBN(0x814e091f, 0x3e6e71cf), TOBN(0x76451f57, 0x8b746666)} - , - {TOBN(0x80f9bdef, 0x694db7e0), TOBN(0xedca8787, 0xb9fcddc6), - TOBN(0x51981c34, 0x03b8dce1), TOBN(0x4274dcf1, 0x70e10ba1), - TOBN(0xf72743b8, 0x6def6d1a), TOBN(0xd25b1670, 0xebdb1866), - TOBN(0xc4491e8c, 0x050c6f58), TOBN(0x2be2b2ab, 0x87fbd7f5), - TOBN(0x3e0e5c9d, 0xd111f8ec), TOBN(0xbcc33f8d, 0xb7c4e760), - TOBN(0x702f9a91, 0xbd392a51), TOBN(0x7da4a795, 0xc132e92d), - TOBN(0x1a0b0ae3, 0x0bb1151b), TOBN(0x54febac8, 0x02e32251), - TOBN(0xea3a5082, 0x694e9e78), TOBN(0xe58ffec1, 0xe4fe40b8), - TOBN(0xf85592fc, 0xd1e0cf9e), TOBN(0xdea75f0d, 0xc0e7b2e8), - 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TOBN(0xf1b0971c, 0x8ad4cf4b), TOBN(0x03448860, 0x2ffb8fb8), - TOBN(0xf071ac3c, 0x65340ba4), TOBN(0x408d0596, 0xb27fd758), - TOBN(0xe7c78ea4, 0x98c364b0), TOBN(0xa4aac4a5, 0x051e8ab5), - TOBN(0xb9e1d560, 0x485d9002), TOBN(0x9acd518a, 0x88844455), - TOBN(0xe4ca688f, 0xd06f56c0), TOBN(0xa48af70d, 0xdf027972), - TOBN(0x691f0f04, 0x5e9a609d), TOBN(0xa9dd82cd, 0xee61270e), - TOBN(0x8903ca63, 0xa0ef18d3), TOBN(0x9fb7ee35, 0x3d6ca3bd), - TOBN(0xa7b4a09c, 0xabf47d03), TOBN(0x4cdada01, 0x1c67de8e), - TOBN(0x52003749, 0x9355a244), TOBN(0xe77fd2b6, 0x4f2151a9), - TOBN(0x695d6cf6, 0x66b4efcb), TOBN(0xc5a0cacf, 0xda2cfe25), - TOBN(0x104efe5c, 0xef811865), TOBN(0xf52813e8, 0x9ea5cc3d), - TOBN(0x855683dc, 0x40b58dbc), TOBN(0x0338ecde, 0x175fcb11), - TOBN(0xf9a05637, 0x74921592), TOBN(0xb4f1261d, 0xb9bb9d31), - TOBN(0x551429b7, 0x4e9c5459), TOBN(0xbe182e6f, 0x6ea71f53), - TOBN(0xd3a3b07c, 0xdfc50573), TOBN(0x9ba1afda, 0x62be8d44), - TOBN(0x9bcfd2cb, 0x52ab65d3), TOBN(0xdf11d547, 0xa9571802), - TOBN(0x099403ee, 0x02a2404a), TOBN(0x497406f4, 0x21088a71), - TOBN(0x99479409, 0x5004ae71), TOBN(0xbdb42078, 0xa812c362), - TOBN(0x2b72a30f, 0xd8828442), TOBN(0x283add27, 0xfcb5ed1c), - TOBN(0xf7c0e200, 0x66a40015), TOBN(0x3e3be641, 0x08b295ef), - TOBN(0xac127dc1, 0xe038a675), TOBN(0x729deff3, 0x8c5c6320), - TOBN(0xb7df8fd4, 0xa90d2c53), TOBN(0x9b74b0ec, 0x681e7cd3), - TOBN(0x5cb5a623, 0xdab407e5), TOBN(0xcdbd3615, 0x76b340c6), - TOBN(0xa184415a, 0x7d28392c), TOBN(0xc184c1d8, 0xe96f7830), - TOBN(0xc3204f19, 0x81d3a80f), TOBN(0xfde0c841, 0xc8e02432), - TOBN(0x78203b3e, 0x8149e0c1), TOBN(0x5904bdbb, 0x08053a73), - TOBN(0x30fc1dd1, 0x101b6805), TOBN(0x43c223bc, 0x49aa6d49), - TOBN(0x9ed67141, 0x7a174087), TOBN(0x311469a0, 0xd5997008), - TOBN(0xb189b684, 0x5e43fc61), TOBN(0xf3282375, 0xe0d3ab57), - TOBN(0x4fa34b67, 0xb1181da8), TOBN(0x621ed0b2, 0x99ee52b8), - TOBN(0x9b178de1, 0xad990676), TOBN(0xd51de67b, 0x56d54065), - TOBN(0x2a2c27c4, 0x7538c201), TOBN(0x33856ec8, 0x38a40f5c), - TOBN(0x2522fc15, 0xbe6cdcde), TOBN(0x1e603f33, 0x9f0c6f89), - TOBN(0x7994edc3, 0x103e30a6), TOBN(0x033a00db, 0x220c853e), - TOBN(0xd3cfa409, 0xf7bb7fd7), TOBN(0x70f8781e, 0x462d18f6), - TOBN(0xbbd82980, 0x687fe295), TOBN(0x6eef4c32, 0x595669f3), - TOBN(0x86a9303b, 0x2f7e85c3), TOBN(0x5fce4621, 0x71988f9b), - TOBN(0x5b935bf6, 0xc138acb5), TOBN(0x30ea7d67, 0x25661212), - TOBN(0xef1eb5f4, 0xe51ab9a2), TOBN(0x0587c98a, 0xae067c78), - TOBN(0xb3ce1b3c, 0x77ca9ca6), TOBN(0x2a553d4d, 0x54b5f057), - TOBN(0xc7898236, 0x4da29ec2), TOBN(0xdbdd5d13, 0xb9c57316), - TOBN(0xc57d6e6b, 0x2cd80d47), TOBN(0x80b460cf, 0xfe9e7391), - TOBN(0x98648cab, 0xf963c31e), TOBN(0x67f9f633, 0xcc4d32fd), - TOBN(0x0af42a9d, 0xfdf7c687), TOBN(0x55f292a3, 0x0b015ea7), - TOBN(0x89e468b2, 0xcd21ab3d), TOBN(0xe504f022, 0xc393d392), - TOBN(0xab21e1d4, 0xa5013af9), TOBN(0xe3283f78, 0xc2c28acb), - TOBN(0xf38b35f6, 0x226bf99f), TOBN(0xe8354274, 0x0e291e69), - TOBN(0x61673a15, 0xb20c162d), TOBN(0xc101dc75, 0xb04fbdbe), - TOBN(0x8323b4c2, 0x255bd617), TOBN(0x6c969693, 0x6c2a9154), - TOBN(0xc6e65860, 0x62679387), TOBN(0x8e01db0c, 0xb8c88e23), - TOBN(0x33c42873, 0x893a5559), TOBN(0x7630f04b, 0x47a3e149), - TOBN(0xb5d80805, 0xddcf35f8), TOBN(0x582ca080, 0x77dfe732), - TOBN(0x2c7156e1, 0x0b1894a0), TOBN(0x92034001, 0xd81c68c0), - TOBN(0xed225d00, 0xc8b115b5), TOBN(0x237f9c22, 0x83b907f2), - TOBN(0x0ea2f32f, 0x4470e2c0), TOBN(0xb725f7c1, 0x58be4e95), - TOBN(0x0f1dcafa, 0xb1ae5463), TOBN(0x59ed5187, 0x1ba2fc04), - TOBN(0xf6e0f316, 0xd0115d4d), TOBN(0x5180b12f, 0xd3691599), - TOBN(0x157e32c9, 0x527f0a41), TOBN(0x7b0b081d, 0xa8e0ecc0), - TOBN(0x6dbaaa8a, 0xbf4f0dd0), TOBN(0x99b289c7, 0x4d252696), - TOBN(0x79b7755e, 0xdbf864fe), TOBN(0x6974e2b1, 0x76cad3ab), - TOBN(0x35dbbee2, 0x06ddd657), TOBN(0xe7cbdd11, 0x2ff3a96d), - TOBN(0x88381968, 0x076be758), TOBN(0x2d737e72, 0x08c91f5d), - TOBN(0x5f83ab62, 0x86ec3776), TOBN(0x98aa649d, 0x945fa7a1), - TOBN(0xf477ec37, 0x72ef0933), TOBN(0x66f52b1e, 0x098c17b1), - TOBN(0x9eec58fb, 0xd803738b), TOBN(0x91aaade7, 0xe4e86aa4), - TOBN(0x6b1ae617, 0xa5b51492), TOBN(0x63272121, 0xbbc45974), - TOBN(0x7e0e28f0, 0x862c5129), TOBN(0x0a8f79a9, 0x3321a4a0), - TOBN(0xe26d1664, 0x5041c88f), TOBN(0x0571b805, 0x53233e3a), - TOBN(0xd1b0ccde, 0xc9520711), TOBN(0x55a9e4ed, 0x3c8b84bf), - TOBN(0x9426bd39, 0xa1fef314), TOBN(0x4f5f638e, 0x6eb93f2b), - TOBN(0xba2a1ed3, 0x2bf9341b), TOBN(0xd63c1321, 0x4d42d5a9), - TOBN(0xd2964a89, 0x316dc7c5), TOBN(0xd1759606, 0xca511851), - TOBN(0xd8a9201f, 0xf9e6ed35), TOBN(0xb7b5ee45, 0x6736925a), - TOBN(0x0a83fbbc, 0x99581af7), TOBN(0x3076bc40, 0x64eeb051), - TOBN(0x5511c98c, 0x02dec312), TOBN(0x270de898, 0x238dcb78), - TOBN(0x2cf4cf9c, 0x539c08c9), TOBN(0xa70cb65e, 0x38d3b06e), - TOBN(0xb12ec10e, 0xcfe57bbd), TOBN(0x82c7b656, 0x35a0c2b5), - TOBN(0xddc7d5cd, 0x161c67bd), TOBN(0xe32e8985, 0xae3a32cc), - TOBN(0x7aba9444, 0xd11a5529), TOBN(0xe964ed02, 0x2427fa1a), - TOBN(0x1528392d, 0x24a1770a), TOBN(0xa152ce2c, 0x12c72fcd), - TOBN(0x714553a4, 0x8ec07649), TOBN(0x18b4c290, 0x459dd453), - TOBN(0xea32b714, 0x7b64b110), TOBN(0xb871bfa5, 0x2e6f07a2), - TOBN(0xb67112e5, 0x9e2e3c9b), TOBN(0xfbf250e5, 0x44aa90f6), - TOBN(0xf77aedb8, 0xbd539006), TOBN(0x3b0cdf9a, 0xd172a66f), - TOBN(0xedf69fea, 0xf8c51187), TOBN(0x05bb67ec, 0x741e4da7), - TOBN(0x47df0f32, 0x08114345), TOBN(0x56facb07, 0xbb9792b1), - TOBN(0xf3e007e9, 0x8f6229e4), TOBN(0x62d103f4, 0x526fba0f), - TOBN(0x4f33bef7, 0xb0339d79), TOBN(0x9841357b, 0xb59bfec1), - TOBN(0xfa8dbb59, 0xc34e6705), TOBN(0xc3c7180b, 0x7fdaa84c), - TOBN(0xf95872fc, 0xa4108537), TOBN(0x8750cc3b, 0x932a3e5a), - TOBN(0xb61cc69d, 0xb7275d7d), TOBN(0xffa0168b, 0x2e59b2e9), - TOBN(0xca032abc, 0x6ecbb493), TOBN(0x1d86dbd3, 0x2c9082d8), - TOBN(0xae1e0b67, 0xe28ef5ba), TOBN(0x2c9a4699, 0xcb18e169), - TOBN(0x0ecd0e33, 0x1e6bbd20), TOBN(0x571b360e, 0xaf5e81d2), - TOBN(0xcd9fea58, 0x101c1d45), TOBN(0x6651788e, 0x18880452), - TOBN(0xa9972635, 0x1f8dd446), TOBN(0x44bed022, 0xe37281d0), - TOBN(0x094b2b2d, 0x33da525d), TOBN(0xf193678e, 0x13144fd8), - TOBN(0xb8ab5ba4, 0xf4c1061d), TOBN(0x4343b5fa, 0xdccbe0f4), - TOBN(0xa8702371, 0x63812713), TOBN(0x47bf6d2d, 0xf7611d93), - TOBN(0x46729b8c, 0xbd21e1d7), TOBN(0x7484d4e0, 0xd629e77d), - TOBN(0x830e6eea, 0x60dbac1f), TOBN(0x23d8c484, 0xda06a2f7), - TOBN(0x896714b0, 0x50ca535b), TOBN(0xdc8d3644, 0xebd97a9b), - TOBN(0x106ef9fa, 0xb12177b4), TOBN(0xf79bf464, 0x534d5d9c), - TOBN(0x2537a349, 0xa6ab360b), TOBN(0xc7c54253, 0xa00c744f), - TOBN(0xb3c7a047, 0xe5911a76), TOBN(0x61ffa5c8, 0x647f1ee7), - TOBN(0x15aed36f, 0x8f56ab42), TOBN(0x6a0d41b0, 0xa3ff9ac9), - TOBN(0x68f469f5, 0xcc30d357), TOBN(0xbe9adf81, 0x6b72be96), - TOBN(0x1cd926fe, 0x903ad461), TOBN(0x7e89e38f, 0xcaca441b), - TOBN(0xf0f82de5, 0xfacf69d4), TOBN(0x363b7e76, 0x4775344c), - TOBN(0x6894f312, 0xb2e36d04), TOBN(0x3c6cb4fe, 0x11d1c9a5), - TOBN(0x85d9c339, 0x4008e1f2), TOBN(0x5e9a85ea, 0x249f326c), - TOBN(0xdc35c60a, 0x678c5e06), TOBN(0xc08b944f, 0x9f86fba9), - TOBN(0xde40c02c, 0x89f71f0f), TOBN(0xad8f3e31, 0xff3da3c0), - TOBN(0x3ea5096b, 0x42125ded), TOBN(0x13879cbf, 0xa7379183), - TOBN(0x6f4714a5, 0x6b306a0b), TOBN(0x359c2ea6, 0x67646c5e), - TOBN(0xfacf8943, 0x07726368), TOBN(0x07a58935, 0x65ff431e), - TOBN(0x24d661d1, 0x68754ab0), TOBN(0x801fce1d, 0x6f429a76), - TOBN(0xc068a85f, 0xa58ce769), TOBN(0xedc35c54, 0x5d5eca2b), - TOBN(0xea31276f, 0xa3f660d1), TOBN(0xa0184ebe, 0xb8fc7167), - TOBN(0x0f20f21a, 0x1d8db0ae), TOBN(0xd96d095f, 0x56c35e12), - TOBN(0xedf402b5, 0xf8c2a25b), TOBN(0x1bb772b9, 0x059204b6), - TOBN(0x50cbeae2, 0x19b4e34c), TOBN(0x93109d80, 0x3fa0845a), - TOBN(0x54f7ccf7, 0x8ef59fb5), TOBN(0x3b438fe2, 0x88070963), - TOBN(0x9e28c659, 0x31f3ba9b), TOBN(0x9cc31b46, 0xead9da92), - TOBN(0x3c2f0ba9, 0xb733aa5f), TOBN(0xdece47cb, 0xf05af235), - TOBN(0xf8e3f715, 0xa2ac82a5), TOBN(0xc97ba641, 0x2203f18a), - TOBN(0xc3af5504, 0x09c11060), TOBN(0x56ea2c05, 0x46af512d), - TOBN(0xfac28daf, 0xf3f28146), TOBN(0x87fab43a, 0x959ef494),} - , - {TOBN(0x09891641, 0xd4c5105f), TOBN(0x1ae80f8e, 0x6d7fbd65), - TOBN(0x9d67225f, 0xbee6bdb0), TOBN(0x3b433b59, 0x7fc4d860), - TOBN(0x44e66db6, 0x93e85638), TOBN(0xf7b59252, 0xe3e9862f), - TOBN(0xdb785157, 0x665c32ec), TOBN(0x702fefd7, 0xae362f50), - TOBN(0x3754475d, 0x0fefb0c3), TOBN(0xd48fb56b, 0x46d7c35d), - TOBN(0xa070b633, 0x363798a4), TOBN(0xae89f3d2, 0x8fdb98e6), - TOBN(0x970b89c8, 0x6363d14c), TOBN(0x89817521, 0x67abd27d), - TOBN(0x9bf7d474, 0x44d5a021), TOBN(0xb3083baf, 0xcac72aee), - TOBN(0x389741de, 0xbe949a44), TOBN(0x638e9388, 0x546a4fa5), - TOBN(0x3fe6419c, 0xa0047bdc), TOBN(0x7047f648, 0xaaea57ca), - TOBN(0x54e48a90, 0x41fbab17), TOBN(0xda8e0b28, 0x576bdba2), - TOBN(0xe807eebc, 0xc72afddc), TOBN(0x07d3336d, 0xf42577bf), - TOBN(0x62a8c244, 0xbfe20925), TOBN(0x91c19ac3, 0x8fdce867), - TOBN(0x5a96a5d5, 0xdd387063), TOBN(0x61d587d4, 0x21d324f6), - TOBN(0xe87673a2, 0xa37173ea), TOBN(0x23848008, 0x53778b65), - TOBN(0x10f8441e, 0x05bab43e), TOBN(0xfa11fe12, 0x4621efbe), - TOBN(0x047b772e, 0x81685d7b), TOBN(0x23f27d81, 0xbf34a976), - TOBN(0xc27608e2, 0x915f48ef), TOBN(0x3b0b43fa, 0xa521d5c3), - TOBN(0x7613fb26, 0x63ca7284), TOBN(0x7f5729b4, 0x1d4db837), - TOBN(0x87b14898, 0x583b526b), TOBN(0x00b732a6, 0xbbadd3d1), - TOBN(0x8e02f426, 0x2048e396), TOBN(0x436b50b6, 0x383d9de4), - TOBN(0xf78d3481, 0x471e85ad), TOBN(0x8b01ea6a, 0xd005c8d6), - TOBN(0xd3c7afee, 0x97015c07), TOBN(0x46cdf1a9, 0x4e3ba2ae), - TOBN(0x7a42e501, 0x83d3a1d2), TOBN(0xd54b5268, 0xb541dff4), - TOBN(0x3f24cf30, 0x4e23e9bc), TOBN(0x4387f816, 0x126e3624), - TOBN(0x26a46a03, 0x3b0b6d61), TOBN(0xaf1bc845, 0x8b2d777c), - TOBN(0x25c401ba, 0x527de79c), TOBN(0x0e1346d4, 0x4261bbb6), - TOBN(0x4b96c44b, 0x287b4bc7), TOBN(0x658493c7, 0x5254562f), - TOBN(0x23f949fe, 0xb8a24a20), TOBN(0x17ebfed1, 0xf52ca53f), - TOBN(0x9b691bbe, 0xbcfb4853), TOBN(0x5617ff6b, 0x6278a05d), - TOBN(0x241b34c5, 0xe3c99ebd), TOBN(0xfc64242e, 0x1784156a), - TOBN(0x4206482f, 0x695d67df), TOBN(0xb967ce0e, 0xee27c011), - TOBN(0x65db3751, 0x21c80b5d), TOBN(0x2e7a563c, 0xa31ecca0), - TOBN(0xe56ffc4e, 0x5238a07e), TOBN(0x3d6c2966, 0x32ced854), - TOBN(0xe99d7d1a, 0xaf70b885), TOBN(0xafc3bad9, 0x2d686459), - TOBN(0x9c78bf46, 0x0cc8ba5b), TOBN(0x5a439519, 0x18955aa3), - TOBN(0xf8b517a8, 0x5fe4e314), TOBN(0xe60234d0, 0xfcb8906f), - TOBN(0xffe542ac, 0xf2061b23), TOBN(0x287e191f, 0x6b4cb59c), - TOBN(0x21857ddc, 0x09d877d8), TOBN(0x1c23478c, 0x14678941), - TOBN(0xbbf0c056, 0xb6e05ea4), TOBN(0x82da4b53, 0xb01594fe), - TOBN(0xf7526791, 0xfadb8608), TOBN(0x049e832d, 0x7b74cdf6), - TOBN(0xa43581cc, 0xc2b90a34), TOBN(0x73639eb8, 0x9360b10c), - TOBN(0x4fba331f, 0xe1e4a71b), TOBN(0x6ffd6b93, 0x8072f919), - TOBN(0x6e53271c, 0x65679032), TOBN(0x67206444, 0xf14272ce), - TOBN(0xc0f734a3, 0xb2335834), TOBN(0x9526205a, 0x90ef6860), - TOBN(0xcb8be717, 0x04e2bb0d), TOBN(0x2418871e, 0x02f383fa), - TOBN(0xd7177681, 0x4082c157), TOBN(0xcc914ad0, 0x29c20073), - TOBN(0xf186c1eb, 0xe587e728), TOBN(0x6fdb3c22, 0x61bcd5fd), - TOBN(0x30d014a6, 0xf2f9f8e9), TOBN(0x963ece23, 0x4fec49d2), - TOBN(0x862025c5, 0x9605a8d9), TOBN(0x39874445, 0x19f8929a), - TOBN(0x01b6ff65, 0x12bf476a), TOBN(0x598a64d8, 0x09cf7d91), - TOBN(0xd7ec7749, 0x93be56ca), TOBN(0x10899785, 0xcbb33615), - TOBN(0xb8a092fd, 0x02eee3ad), TOBN(0xa86b3d35, 0x30145270), - TOBN(0x323d98c6, 0x8512b675), TOBN(0x4b8bc785, 0x62ebb40f), - TOBN(0x7d301f54, 0x413f9cde), TOBN(0xa5e4fb4f, 0x2bab5664), - TOBN(0x1d2b252d, 0x1cbfec23), TOBN(0xfcd576bb, 0xe177120d), - TOBN(0x04427d3e, 0x83731a34), TOBN(0x2bb9028e, 0xed836e8e), - TOBN(0xb36acff8, 0xb612ca7c), TOBN(0xb88fe5ef, 0xd3d9c73a), - TOBN(0xbe2a6bc6, 0xedea4eb3), TOBN(0x43b93133, 0x488eec77), - TOBN(0xf41ff566, 0xb17106e1), TOBN(0x469e9172, 0x654efa32), - TOBN(0xb4480f04, 0x41c23fa3), TOBN(0xb4712eb0, 0xc1989a2e), - TOBN(0x3ccbba0f, 0x93a29ca7), TOBN(0x6e205c14, 0xd619428c), - TOBN(0x90db7957, 0xb3641686), TOBN(0x0432691d, 0x45ac8b4e), - TOBN(0x07a759ac, 0xf64e0350), TOBN(0x0514d89c, 0x9c972517), - TOBN(0x1701147f, 0xa8e67fc3), TOBN(0x9e2e0b8b, 0xab2085be), - TOBN(0xd5651824, 0xac284e57), TOBN(0x890d4325, 0x74893664), - TOBN(0x8a7c5e6e, 0xc55e68a3), TOBN(0xbf12e90b, 0x4339c85a), - TOBN(0x31846b85, 0xf922b655), TOBN(0x9a54ce4d, 0x0bf4d700), - TOBN(0xd7f4e83a, 0xf1a14295), TOBN(0x916f955c, 0xb285d4f9), - TOBN(0xe57bb0e0, 0x99ffdaba), TOBN(0x28a43034, 0xeab0d152), - TOBN(0x0a36ffa2, 0xb8a9cef8), TOBN(0x5517407e, 0xb9ec051a), - TOBN(0x9c796096, 0xea68e672), TOBN(0x853db5fb, 0xfb3c77fb), - TOBN(0x21474ba9, 0xe864a51a), TOBN(0x6c267699, 0x6e8a1b8b), - TOBN(0x7c823626, 0x94120a28), TOBN(0xe61e9a48, 0x8383a5db), - TOBN(0x7dd75003, 0x9f84216d), TOBN(0xab020d07, 0xad43cd85), - TOBN(0x9437ae48, 0xda12c659), TOBN(0x6449c2eb, 0xe65452ad), - TOBN(0xcc7c4c1c, 0x2cf9d7c1), TOBN(0x1320886a, 0xee95e5ab), - TOBN(0xbb7b9056, 0xbeae170c), TOBN(0xc8a5b250, 0xdbc0d662), - TOBN(0x4ed81432, 0xc11d2303), TOBN(0x7da66912, 0x1f03769f), - TOBN(0x3ac7a5fd, 0x84539828), TOBN(0x14dada94, 0x3bccdd02), - TOBN(0x8b84c321, 0x7ef6b0d1), TOBN(0x52a9477a, 0x7c933f22), - TOBN(0x5ef6728a, 0xfd440b82), TOBN(0x5c3bd859, 0x6ce4bd5e), - TOBN(0x918b80f5, 0xf22c2d3e), TOBN(0x368d5040, 0xb7bb6cc5), - TOBN(0xb66142a1, 0x2695a11c), TOBN(0x60ac583a, 0xeb19ea70), - TOBN(0x317cbb98, 0x0eab2437), TOBN(0x8cc08c55, 0x5e2654c8), - TOBN(0xfe2d6520, 0xe6d8307f), TOBN(0xe9f147f3, 0x57428993), - TOBN(0x5f9c7d14, 0xd2fd6cf1), TOBN(0xa3ecd064, 0x2d4fcbb0), - TOBN(0xad83fef0, 0x8e7341f7), TOBN(0x643f23a0, 0x3a63115c), - TOBN(0xd38a78ab, 0xe65ab743), TOBN(0xbf7c75b1, 0x35edc89c), - TOBN(0x3dd8752e, 0x530df568), TOBN(0xf85c4a76, 0xe308c682), - TOBN(0x4c9955b2, 0xe68acf37), TOBN(0xa544df3d, 0xab32af85), - TOBN(0x4b8ec3f5, 0xa25cf493), TOBN(0x4d8f2764, 0x1a622feb), - TOBN(0x7bb4f7aa, 0xf0dcbc49), TOBN(0x7de551f9, 0x70bbb45b), - TOBN(0xcfd0f3e4, 0x9f2ca2e5), TOBN(0xece58709, 0x1f5c76ef), - TOBN(0x32920edd, 0x167d79ae), TOBN(0x039df8a2, 0xfa7d7ec1), - TOBN(0xf46206c0, 0xbb30af91), TOBN(0x1ff5e2f5, 0x22676b59), - TOBN(0x11f4a039, 0x6ea51d66), TOBN(0x506c1445, 0x807d7a26), - TOBN(0x60da5705, 0x755a9b24), TOBN(0x8fc8cc32, 0x1f1a319e), - TOBN(0x83642d4d, 0x9433d67d), TOBN(0x7fa5cb8f, 0x6a7dd296), - TOBN(0x576591db, 0x9b7bde07), TOBN(0x13173d25, 0x419716fb), - TOBN(0xea30599d, 0xd5b340ff), TOBN(0xfc6b5297, 0xb0fe76c5), - TOBN(0x1c6968c8, 0xab8f5adc), TOBN(0xf723c7f5, 0x901c928d), - TOBN(0x4203c321, 0x9773d402), TOBN(0xdf7c6aa3, 0x1b51dd47), - TOBN(0x3d49e37a, 0x552be23c), TOBN(0x57febee8, 0x0b5a6e87), - TOBN(0xc5ecbee4, 0x7bd8e739), TOBN(0x79d44994, 0xae63bf75), - TOBN(0x168bd00f, 0x38fb8923), TOBN(0x75d48ee4, 0xd0533130), - TOBN(0x554f77aa, 0xdb5cdf33), TOBN(0x3396e896, 0x3c696769), - TOBN(0x2fdddbf2, 0xd3fd674e), TOBN(0xbbb8f6ee, 0x99d0e3e5), - TOBN(0x51b90651, 0xcbae2f70), TOBN(0xefc4bc05, 0x93aaa8eb), - TOBN(0x8ecd8689, 0xdd1df499), TOBN(0x1aee99a8, 0x22f367a5), - TOBN(0x95d485b9, 0xae8274c5), TOBN(0x6c14d445, 0x7d30b39c), - TOBN(0xbafea90b, 0xbcc1ef81), TOBN(0x7c5f317a, 0xa459a2ed), - TOBN(0x01211075, 0x4ef44227), TOBN(0xa17bed6e, 0xdc20f496), - TOBN(0x0cdfe424, 0x819853cd), TOBN(0x13793298, 0xf71e2ce7), - TOBN(0x3c1f3078, 0xdbbe307b), TOBN(0x6dd1c20e, 0x76ee9936), - TOBN(0x23ee4b57, 0x423caa20), TOBN(0x4ac3793b, 0x8efb840e), - TOBN(0x934438eb, 0xed1f8ca0), TOBN(0x3e546658, 0x4ebb25a2), - TOBN(0xc415af0e, 0xc069896f), TOBN(0xc13eddb0, 0x9a5aa43d), - TOBN(0x7a04204f, 0xd49eb8f6), TOBN(0xd0d5bdfc, 0xd74f1670), - TOBN(0x3697e286, 0x56fc0558), TOBN(0x10207371, 0x01cebade), - TOBN(0x5f87e690, 0x0647a82b), TOBN(0x908e0ed4, 0x8f40054f), - TOBN(0xa9f633d4, 0x79853803), TOBN(0x8ed13c9a, 0x4a28b252), - TOBN(0x3e2ef676, 0x1f460f64), TOBN(0x53930b9b, 0x36d06336), - TOBN(0x347073ac, 0x8fc4979b), TOBN(0x84380e0e, 0x5ecd5597), - TOBN(0xe3b22c6b, 0xc4fe3c39), TOBN(0xba4a8153, 0x6c7bebdf), - TOBN(0xf23ab6b7, 0x25693459), TOBN(0x53bc3770, 0x14922b11), - TOBN(0x4645c8ab, 0x5afc60db), TOBN(0xaa022355, 0x20b9f2a3), - TOBN(0x52a2954c, 0xce0fc507), TOBN(0x8c2731bb, 0x7ce1c2e7), - TOBN(0xf39608ab, 0x18a0339d), TOBN(0xac7a658d, 0x3735436c), - TOBN(0xb22c2b07, 0xcd992b4f), TOBN(0x4e83daec, 0xf40dcfd4), - TOBN(0x8a34c7be, 0x2f39ea3e), TOBN(0xef0c005f, 0xb0a56d2e), - TOBN(0x62731f6a, 0x6edd8038), TOBN(0x5721d740, 0x4e3cb075), - TOBN(0x1ea41511, 0xfbeeee1b), TOBN(0xd1ef5e73, 0xef1d0c05), - TOBN(0x42feefd1, 0x73c07d35), TOBN(0xe530a00a, 0x8a329493), - TOBN(0x5d55b7fe, 0xf15ebfb0), TOBN(0x549de03c, 0xd322491a), - TOBN(0xf7b5f602, 0x745b3237), TOBN(0x3632a3a2, 0x1ab6e2b6), - TOBN(0x0d3bba89, 0x0ef59f78), TOBN(0x0dfc6443, 0xc9e52b9a), - TOBN(0x1dc79699, 0x72631447), TOBN(0xef033917, 0xb3be20b1), - TOBN(0x0c92735d, 0xb1383948), TOBN(0xc1fc29a2, 0xc0dd7d7d), - TOBN(0x6485b697, 0x403ed068), TOBN(0x13bfaab3, 0xaac93bdc), - TOBN(0x410dc6a9, 0x0deeaf52), TOBN(0xb003fb02, 0x4c641c15), - TOBN(0x1384978c, 0x5bc504c4), TOBN(0x37640487, 0x864a6a77), - TOBN(0x05991bc6, 0x222a77da), TOBN(0x62260a57, 0x5e47eb11), - TOBN(0xc7af6613, 0xf21b432c), TOBN(0x22f3acc9, 0xab4953e9), - TOBN(0x52934922, 0x8e41d155), TOBN(0x4d024568, 0x3ac059ef), - TOBN(0xb0201755, 0x4d884411), TOBN(0xce8055cf, 0xa59a178f), - TOBN(0xcd77d1af, 0xf6204549), TOBN(0xa0a00a3e, 0xc7066759), - TOBN(0x471071ef, 0x0272c229), TOBN(0x009bcf6b, 0xd3c4b6b0), - TOBN(0x2a2638a8, 0x22305177), TOBN(0xd51d59df, 0x41645bbf), - TOBN(0xa81142fd, 0xc0a7a3c0), TOBN(0xa17eca6d, 0x4c7063ee), - TOBN(0x0bb887ed, 0x60d9dcec), TOBN(0xd6d28e51, 0x20ad2455), - TOBN(0xebed6308, 0xa67102ba), TOBN(0x042c3114, 0x8bffa408), - TOBN(0xfd099ac5, 0x8aa68e30), TOBN(0x7a6a3d7c, 0x1483513e), - TOBN(0xffcc6b75, 0xba2d8f0c), TOBN(0x54dacf96, 0x1e78b954), - TOBN(0xf645696f, 0xa4a9af89), TOBN(0x3a411940, 0x06ac98ec), - TOBN(0x41b8b3f6, 0x22a67a20), TOBN(0x2d0b1e0f, 0x99dec626), - TOBN(0x27c89192, 0x40be34e8), TOBN(0xc7162b37, 0x91907f35), - TOBN(0x90188ec1, 0xa956702b), TOBN(0xca132f7d, 0xdf93769c), - TOBN(0x3ece44f9, 0x0e2025b4), TOBN(0x67aaec69, 0x0c62f14c), - TOBN(0xad741418, 0x22e3cc11), TOBN(0xcf9b75c3, 0x7ff9a50e), - TOBN(0x02fa2b16, 0x4d348272), TOBN(0xbd99d61a, 0x9959d56d), - TOBN(0xbc4f19db, 0x18762916), TOBN(0xcc7cce50, 0x49c1ac80), - TOBN(0x4d59ebaa, 0xd846bd83), TOBN(0x8775a9dc, 0xa9202849), - TOBN(0x07ec4ae1, 0x6e1f4ca9), TOBN(0x27eb5875, 0xba893f11), - TOBN(0x00284d51, 0x662cc565), TOBN(0x82353a6b, 0x0db4138d), - TOBN(0xd9c7aaaa, 0xaa32a594), TOBN(0xf5528b5e, 0xa5669c47), - TOBN(0xf3220231, 0x2f23c5ff), TOBN(0xe3e8147a, 0x6affa3a1), - TOBN(0xfb423d5c, 0x202ddda0), TOBN(0x3d6414ac, 0x6b871bd4), - TOBN(0x586f82e1, 0xa51a168a), TOBN(0xb712c671, 0x48ae5448), - TOBN(0x9a2e4bd1, 0x76233eb8), TOBN(0x0188223a, 0x78811ca9), - TOBN(0x553c5e21, 0xf7c18de1), TOBN(0x7682e451, 0xb27bb286), - TOBN(0x3ed036b3, 0x0e51e929), TOBN(0xf487211b, 0xec9cb34f), - TOBN(0x0d094277, 0x0c24efc8), TOBN(0x0349fd04, 0xbef737a4), - TOBN(0x6d1c9dd2, 0x514cdd28), TOBN(0x29c135ff, 0x30da9521), - TOBN(0xea6e4508, 0xf78b0b6f), TOBN(0x176f5dd2, 0x678c143c), - TOBN(0x08148418, 0x4be21e65), TOBN(0x27f7525c, 0xe7df38c4), - TOBN(0x1fb70e09, 0x748ab1a4), TOBN(0x9cba50a0, 0x5efe4433), - TOBN(0x7846c7a6, 0x15f75af2), TOBN(0x2a7c2c57, 0x5ee73ea8), - TOBN(0x42e566a4, 0x3f0a449a), TOBN(0x45474c3b, 0xad90fc3d), - TOBN(0x7447be3d, 0x8b61d057), TOBN(0x3e9d1cf1, 0x3a4ec092), - TOBN(0x1603e453, 0xf380a6e6), TOBN(0x0b86e431, 0x9b1437c2), - TOBN(0x7a4173f2, 0xef29610a), TOBN(0x8fa729a7, 0xf03d57f7), - TOBN(0x3e186f6e, 0x6c9c217e), TOBN(0xbe1d3079, 0x91919524), - TOBN(0x92a62a70, 0x153d4fb1), TOBN(0x32ed3e34, 0xd68c2f71), - TOBN(0xd785027f, 0x9eb1a8b7), TOBN(0xbc37eb77, 0xc5b22fe8), - TOBN(0x466b34f0, 0xb9d6a191), TOBN(0x008a89af, 0x9a05f816), - TOBN(0x19b028fb, 0x7d42c10a), TOBN(0x7fe8c92f, 0x49b3f6b8), - TOBN(0x58907cc0, 0xa5a0ade3), TOBN(0xb3154f51, 0x559d1a7c), - TOBN(0x5066efb6, 0xd9790ed6), TOBN(0xa77a0cbc, 0xa6aa793b), - TOBN(0x1a915f3c, 0x223e042e), TOBN(0x1c5def04, 0x69c5874b), - TOBN(0x0e830078, 0x73b6c1da), TOBN(0x55cf85d2, 0xfcd8557a), - TOBN(0x0f7c7c76, 0x0460f3b1), TOBN(0x87052acb, 0x46e58063), - TOBN(0x09212b80, 0x907eae66), TOBN(0x3cb068e0, 0x4d721c89), - TOBN(0xa87941ae, 0xdd45ac1c), TOBN(0xde8d5c0d, 0x0daa0dbb), - TOBN(0xda421fdc, 0xe3502e6e), TOBN(0xc8944201, 0x4d89a084), - TOBN(0x7307ba5e, 0xf0c24bfb), TOBN(0xda212beb, 0x20bde0ef), - TOBN(0xea2da24b, 0xf82ce682), TOBN(0x058d3816, 0x07f71fe4), - TOBN(0x35a02462, 0x5ffad8de), TOBN(0xcd7b05dc, 0xaadcefab), - TOBN(0xd442f8ed, 0x1d9f54ec), TOBN(0x8be3d618, 0xb2d3b5ca), - TOBN(0xe2220ed0, 0xe06b2ce2), TOBN(0x82699a5f, 0x1b0da4c0), - TOBN(0x3ff106f5, 0x71c0c3a7), TOBN(0x8f580f5a, 0x0d34180c), - TOBN(0x4ebb120e, 0x22d7d375), TOBN(0x5e5782cc, 0xe9513675), - TOBN(0x2275580c, 0x99c82a70), TOBN(0xe8359fbf, 0x15ea8c4c), - TOBN(0x53b48db8, 0x7b415e70), TOBN(0xaacf2240, 0x100c6014), - TOBN(0x9faaccf5, 0xe4652f1d), TOBN(0xbd6fdd2a, 0xd56157b2), - TOBN(0xa4f4fb1f, 0x6261ec50), TOBN(0x244e55ad, 0x476bcd52), - TOBN(0x881c9305, 0x047d320b), TOBN(0x1ca983d5, 0x6181263f), - TOBN(0x354e9a44, 0x278fb8ee), TOBN(0xad2dbc0f, 0x396e4964), - TOBN(0x723f3aa2, 0x9268b3de), TOBN(0x0d1ca29a, 0xe6e0609a), - TOBN(0x794866aa, 0x6cf44252), TOBN(0x0b59f3e3, 0x01af87ed), - TOBN(0xe234e5ff, 0x7f4a6c51), TOBN(0xa8768fd2, 0x61dc2f7e), - TOBN(0xdafc7332, 0x0a94d81f), TOBN(0xd7f84282, 0x06938ce1), - TOBN(0xae0b3c0e, 0x0546063e), TOBN(0x7fbadcb2, 0x5d61abc6), - TOBN(0xd5d7a2c9, 0x369ac400), TOBN(0xa5978d09, 0xae67d10c), - TOBN(0x290f211e, 0x4f85eaac), TOBN(0xe61e2ad1, 0xfacac681), - TOBN(0xae125225, 0x388384cd), TOBN(0xa7fb68e9, 0xccfde30f), - TOBN(0x7a59b936, 0x3daed4c2), TOBN(0x80a9aa40, 0x2606f789), - TOBN(0xb40c1ea5, 0xf6a6d90a), TOBN(0x948364d3, 0x514d5885), - TOBN(0x062ebc60, 0x70985182), TOBN(0xa6db5b0e, 0x33310895), - TOBN(0x64a12175, 0xe329c2f5), TOBN(0xc5f25bd2, 0x90ea237e), - TOBN(0x7915c524, 0x2d0a4c23), TOBN(0xeb5d26e4, 0x6bb3cc52), - TOBN(0x369a9116, 0xc09e2c92), TOBN(0x0c527f92, 0xcf182cf8), - TOBN(0x9e591938, 0x2aede0ac), TOBN(0xb2922208, 0x6cc34939), - TOBN(0x3c9d8962, 0x99a34361), TOBN(0x3c81836d, 0xc1905fe6), - TOBN(0x4bfeb57f, 0xa001ec5a), TOBN(0xe993f5bb, 0xa0dc5dba), - TOBN(0x47884109, 0x724a1380), TOBN(0x8a0369ab, 0x32fe9a04), - TOBN(0xea068d60, 0x8c927db8), TOBN(0xbf5f37cf, 0x94655741), - TOBN(0x47d402a2, 0x04b6c7ea), TOBN(0x4551c295, 0x6af259cb), - TOBN(0x698b71e7, 0xed77ee8b), TOBN(0xbddf7bd0, 0xf309d5c7), - TOBN(0x6201c22c, 0x34e780ca), TOBN(0xab04f7d8, 0x4c295ef4), - TOBN(0x1c947294, 0x4313a8ce), TOBN(0xe532e4ac, 0x92ca4cfe), - TOBN(0x89738f80, 0xd0a7a97a), TOBN(0xec088c88, 0xa580fd5b), - TOBN(0x612b1ecc, 0x42ce9e51), TOBN(0x8f9840fd, 0xb25fdd2a), - TOBN(0x3cda78c0, 0x01e7f839), TOBN(0x546b3d3a, 0xece05480), - TOBN(0x271719a9, 0x80d30916), TOBN(0x45497107, 0x584c20c4), - TOBN(0xaf8f9478, 0x5bc78608), TOBN(0x28c7d484, 0x277e2a4c), - TOBN(0xfce01767, 0x88a2ffe4), TOBN(0xdc506a35, 0x28e169a5), - TOBN(0x0ea10861, 0x7af9c93a), TOBN(0x1ed24361, 0x03fa0e08), - TOBN(0x96eaaa92, 0xa3d694e7), TOBN(0xc0f43b4d, 0xef50bc74), - TOBN(0xce6aa58c, 0x64114db4), TOBN(0x8218e8ea, 0x7c000fd4), - TOBN(0xac815dfb, 0x185f8844), TOBN(0xcd7e90cb, 0x1557abfb), - TOBN(0x23d16655, 0xafbfecdf), TOBN(0x80f3271f, 0x085cac4a), - TOBN(0x7fc39aa7, 0xd0e62f47), TOBN(0x88d519d1, 0x460a48e5), - TOBN(0x59559ac4, 0xd28f101e), TOBN(0x7981d9e9, 0xca9ae816), - TOBN(0x5c38652c, 0x9ac38203), TOBN(0x86eaf87f, 0x57657fe5), - TOBN(0x568fc472, 0xe21f5416), TOBN(0x2afff39c, 0xe7e597b5), - 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TOBN(0x111def61, 0xbb939099), TOBN(0x1d6a974a, 0x26d13694), - TOBN(0x4474b4ce, 0xd3fc253b), TOBN(0x3a1485e6, 0x4c5db15e), - TOBN(0xe79667b4, 0x147c15b4), TOBN(0xe34f553b, 0x7bc61301), - TOBN(0x032b80f8, 0x17094381), TOBN(0x55d8bafd, 0x723eaa21), - TOBN(0x5a987995, 0xf1c0e74e), TOBN(0x5a9b292e, 0xebba289c), - TOBN(0x413cd4b2, 0xeb4c8251), TOBN(0x98b5d243, 0xd162db0a), - TOBN(0xbb47bf66, 0x68342520), TOBN(0x08d68949, 0xbaa862d1), - TOBN(0x11f349c7, 0xe906abcd), TOBN(0x454ce985, 0xed7bf00e), - TOBN(0xacab5c9e, 0xb55b803b), TOBN(0xb03468ea, 0x31e3c16d), - TOBN(0x5c24213d, 0xd273bf12), TOBN(0x211538eb, 0x71587887), - TOBN(0x198e4a2f, 0x731dea2d), TOBN(0xd5856cf2, 0x74ed7b2a), - TOBN(0x86a632eb, 0x13a664fe), TOBN(0x932cd909, 0xbda41291), - TOBN(0x850e95d4, 0xc0c4ddc0), TOBN(0xc0f422f8, 0x347fc2c9), - TOBN(0xe68cbec4, 0x86076bcb), TOBN(0xf9e7c0c0, 0xcd6cd286), - TOBN(0x65994ddb, 0x0f5f27ca), TOBN(0xe85461fb, 0xa80d59ff), - TOBN(0xff05481a, 0x66601023), TOBN(0xc665427a, 0xfc9ebbfb), - TOBN(0xb0571a69, 0x7587fd52), TOBN(0x935289f8, 0x8d49efce), - TOBN(0x61becc60, 0xea420688), TOBN(0xb22639d9, 0x13a786af), - TOBN(0x1a8e6220, 0x361ecf90), TOBN(0x001f23e0, 0x25506463), - TOBN(0xe4ae9b5d, 0x0a5c2b79), TOBN(0xebc9cdad, 0xd8149db5), - TOBN(0xb33164a1, 0x934aa728), TOBN(0x750eb00e, 0xae9b60f3), - TOBN(0x5a91615b, 0x9b9cfbfd), TOBN(0x97015cbf, 0xef45f7f6), - TOBN(0xb462c4a5, 0xbf5151df), TOBN(0x21adcc41, 0xb07118f2), - TOBN(0xd60c545b, 0x043fa42c), TOBN(0xfc21aa54, 0xe96be1ab), - TOBN(0xe84bc32f, 0x4e51ea80), TOBN(0x3dae45f0, 0x259b5d8d), - TOBN(0xbb73c7eb, 0xc38f1b5e), TOBN(0xe405a74a, 0xe8ae617d), - TOBN(0xbb1ae9c6, 0x9f1c56bd), TOBN(0x8c176b98, 0x49f196a4), - TOBN(0xc448f311, 0x6875092b), TOBN(0xb5afe3de, 0x9f976033), - TOBN(0xa8dafd49, 0x145813e5), TOBN(0x687fc4d9, 0xe2b34226), - TOBN(0xf2dfc92d, 0x4c7ff57f), TOBN(0x004e3fc1, 0x401f1b46), - TOBN(0x5afddab6, 0x1430c9ab), TOBN(0x0bdd41d3, 0x2238e997), - TOBN(0xf0947430, 0x418042ae), TOBN(0x71f9adda, 0xcdddc4cb), - TOBN(0x7090c016, 0xc52dd907), TOBN(0xd9bdf44d, 0x29e2047f), - TOBN(0xe6f1fe80, 0x1b1011a6), TOBN(0xb63accbc, 0xd9acdc78), - TOBN(0xcfc7e235, 0x1272a95b), TOBN(0x0c667717, 0xa6276ac8), - TOBN(0x3c0d3709, 0xe2d7eef7), TOBN(0x5add2b06, 0x9a685b3e), - TOBN(0x363ad32d, 0x14ea5d65), TOBN(0xf8e01f06, 0x8d7dd506), - TOBN(0xc9ea2213, 0x75b4aac6), TOBN(0xed2a2bf9, 0x0d353466), - TOBN(0x439d79b5, 0xe9d3a7c3), TOBN(0x8e0ee5a6, 0x81b7f34b), - TOBN(0xcf3dacf5, 0x1dc4ba75), TOBN(0x1d3d1773, 0xeb3310c7), - TOBN(0xa8e67112, 0x7747ae83), TOBN(0x31f43160, 0x197d6b40), - TOBN(0x0521ccee, 0xcd961400), TOBN(0x67246f11, 0xf6535768), - TOBN(0x702fcc5a, 0xef0c3133), TOBN(0x247cc45d, 0x7e16693b), - TOBN(0xfd484e49, 0xc729b749), TOBN(0x522cef7d, 0xb218320f), - TOBN(0xe56ef405, 0x59ab93b3), TOBN(0x225fba11, 0x9f181071), - TOBN(0x33bd6595, 0x15330ed0), TOBN(0xc4be69d5, 0x1ddb32f7), - TOBN(0x264c7668, 0x0448087c), TOBN(0xac30903f, 0x71432dae), - TOBN(0x3851b266, 0x00f9bf47), TOBN(0x400ed311, 0x6cdd6d03), - TOBN(0x045e79fe, 0xf8fd2424), TOBN(0xfdfd974a, 0xfa6da98b), - TOBN(0x45c9f641, 0x0c1e673a), TOBN(0x76f2e733, 0x5b2c5168), - TOBN(0x1adaebb5, 0x2a601753), TOBN(0xb286514c, 0xc57c2d49), - TOBN(0xd8769670, 0x1e0bfd24), TOBN(0x950c547e, 0x04478922), - TOBN(0xd1d41969, 0xe5d32bfe), TOBN(0x30bc1472, 0x750d6c3e), - TOBN(0x8f3679fe, 0xe0e27f3a), TOBN(0x8f64a7dc, 0xa4a6ee0c), - TOBN(0x2fe59937, 0x633dfb1f), TOBN(0xea82c395, 0x977f2547), - TOBN(0xcbdfdf1a, 0x661ea646), TOBN(0xc7ccc591, 0xb9085451), - TOBN(0x82177962, 0x81761e13), TOBN(0xda57596f, 0x9196885c), - TOBN(0xbc17e849, 0x28ffbd70), TOBN(0x1e6e0a41, 0x2671d36f), - TOBN(0x61ae872c, 0x4152fcf5), TOBN(0x441c87b0, 0x9e77e754), - TOBN(0xd0799dd5, 0xa34dff09), TOBN(0x766b4e44, 0x88a6b171), - TOBN(0xdc06a512, 0x11f1c792), TOBN(0xea02ae93, 0x4be35c3e), - TOBN(0xe5ca4d6d, 0xe90c469e), TOBN(0x4df4368e, 0x56e4ff5c), - TOBN(0x7817acab, 0x4baef62e), TOBN(0x9f5a2202, 0xa85b91e8), - TOBN(0x9666ebe6, 0x6ce57610), TOBN(0x32ad31f3, 0xf73bfe03), - TOBN(0x628330a4, 0x25bcf4d6), TOBN(0xea950593, 0x515056e6), - TOBN(0x59811c89, 0xe1332156), TOBN(0xc89cf1fe, 0x8c11b2d7), - TOBN(0x75b63913, 0x04e60cc0), TOBN(0xce811e8d, 0x4625d375), - TOBN(0x030e43fc, 0x2d26e562), TOBN(0xfbb30b4b, 0x608d36a0), - TOBN(0x634ff82c, 0x48528118), TOBN(0x7c6fe085, 0xcd285911), - TOBN(0x7f2830c0, 0x99358f28), TOBN(0x2e60a95e, 0x665e6c09), - TOBN(0x08407d3d, 0x9b785dbf), TOBN(0x530889ab, 0xa759bce7), - TOBN(0xf228e0e6, 0x52f61239), TOBN(0x2b6d1461, 0x6879be3c), - TOBN(0xe6902c04, 0x51a7bbf7), TOBN(0x30ad99f0, 0x76f24a64), - TOBN(0x66d9317a, 0x98bc6da0), TOBN(0xf4f877f3, 0xcb596ac0), - TOBN(0xb05ff62d, 0x4c44f119), TOBN(0x4555f536, 0xe9b77416), - TOBN(0xc7c0d059, 0x8caed63b), TOBN(0x0cd2b7ce, 0xc358b2a9), - TOBN(0x3f33287b, 0x46945fa3), TOBN(0xf8785b20, 0xd67c8791), - TOBN(0xc54a7a61, 0x9637bd08), TOBN(0x54d4598c, 0x18be79d7), - TOBN(0x889e5acb, 0xc46d7ce1), TOBN(0x9a515bb7, 0x8b085877), - TOBN(0xfac1a03d, 0x0b7a5050), TOBN(0x7d3e738a, 0xf2926035), - TOBN(0x861cc2ce, 0x2a6cb0eb), TOBN(0x6f2e2955, 0x8f7adc79), - TOBN(0x61c4d451, 0x33016376), TOBN(0xd9fd2c80, 0x5ad59090), - TOBN(0xe5a83738, 0xb2b836a1), TOBN(0x855b41a0, 0x7c0d6622), - TOBN(0x186fe317, 0x7cc19af1), TOBN(0x6465c1ff, 0xfdd99acb), - TOBN(0x46e5c23f, 0x6974b99e), TOBN(0x75a7cf8b, 0xa2717cbe), - TOBN(0x4d2ebc3f, 0x062be658), TOBN(0x094b4447, 0x5f209c98), - TOBN(0x4af285ed, 0xb940cb5a), TOBN(0x6706d792, 0x7cc82f10), - TOBN(0xc8c8776c, 0x030526fa), TOBN(0xfa8e6f76, 0xa0da9140), - TOBN(0x77ea9d34, 0x591ee4f0), TOBN(0x5f46e337, 0x40274166), - TOBN(0x1bdf98bb, 0xea671457), TOBN(0xd7c08b46, 0x862a1fe2), - TOBN(0x46cc303c, 0x1c08ad63), TOBN(0x99543440, 0x4c845e7b), - TOBN(0x1b8fbdb5, 0x48f36bf7), TOBN(0x5b82c392, 0x8c8273a7), - TOBN(0x08f712c4, 0x928435d5), TOBN(0x071cf0f1, 0x79330380), - TOBN(0xc74c2d24, 0xa8da054a), TOBN(0xcb0e7201, 0x43c46b5c), - TOBN(0x0ad7337a, 0xc0b7eff3), TOBN(0x8552225e, 0xc5e48b3c), - TOBN(0xe6f78b0c, 0x73f13a5f), TOBN(0x5e70062e, 0x82349cbe), - TOBN(0x6b8d5048, 0xe7073969), TOBN(0x392d2a29, 0xc33cb3d2), - TOBN(0xee4f727c, 0x4ecaa20f), TOBN(0xa068c99e, 0x2ccde707), - TOBN(0xfcd5651f, 0xb87a2913), TOBN(0xea3e3c15, 0x3cc252f0), - TOBN(0x777d92df, 0x3b6cd3e4), TOBN(0x7a414143, 0xc5a732e7), - TOBN(0xa895951a, 0xa71ff493), TOBN(0xfe980c92, 0xbbd37cf6), - TOBN(0x45bd5e64, 0xdecfeeff), TOBN(0x910dc2a9, 0xa44c43e9), - TOBN(0xcb403f26, 0xcca9f54d), TOBN(0x928bbdfb, 0x9303f6db), - TOBN(0x3c37951e, 0xa9eee67c), TOBN(0x3bd61a52, 0xf79961c3), - TOBN(0x09a238e6, 0x395c9a79), TOBN(0x6940ca2d, 0x61eb352d), - TOBN(0x7d1e5c5e, 0xc1875631), TOBN(0x1e19742c, 0x1e1b20d1), - TOBN(0x4633d908, 0x23fc2e6e), TOBN(0xa76e29a9, 0x08959149), - TOBN(0x61069d9c, 0x84ed7da5), TOBN(0x0baa11cf, 0x5dbcad51), - TOBN(0xd01eec64, 0x961849da), TOBN(0x93b75f1f, 0xaf3d8c28), - TOBN(0x57bc4f9f, 0x1ca2ee44), TOBN(0x5a26322d, 0x00e00558), - TOBN(0x1888d658, 0x61a023ef), TOBN(0x1d72aab4, 0xb9e5246e), - TOBN(0xa9a26348, 0xe5563ec0), TOBN(0xa0971963, 0xc3439a43), - TOBN(0x567dd54b, 0xadb9b5b7), TOBN(0x73fac1a1, 0xc45a524b), - TOBN(0x8fe97ef7, 0xfe38e608), TOBN(0x608748d2, 0x3f384f48), - TOBN(0xb0571794, 0xc486094f), TOBN(0x869254a3, 0x8bf3a8d6), - TOBN(0x148a8dd1, 0x310b0e25), TOBN(0x99ab9f3f, 0x9aa3f7d8), - TOBN(0x0927c68a, 0x6706c02e), TOBN(0x22b5e76c, 0x69790e6c), - TOBN(0x6c325260, 0x6c71376c), TOBN(0x53a57690, 0x09ef6657), - TOBN(0x8d63f852, 0xedffcf3a), TOBN(0xb4d2ed04, 0x3c0a6f55), - TOBN(0xdb3aa8de, 0x12519b9e), TOBN(0x5d38e9c4, 0x1e0a569a), - TOBN(0x871528bf, 0x303747e2), TOBN(0xa208e77c, 0xf5b5c18d), - TOBN(0x9d129c88, 0xca6bf923), TOBN(0xbcbf197f, 0xbf02839f), - TOBN(0x9b9bf030, 0x27323194), TOBN(0x3b055a8b, 0x339ca59d), - TOBN(0xb46b2312, 0x0f669520), TOBN(0x19789f1f, 0x497e5f24), - TOBN(0x9c499468, 0xaaf01801), TOBN(0x72ee1190, 0x8b69d59c), - TOBN(0x8bd39595, 0xacf4c079), TOBN(0x3ee11ece, 0x8e0cd048), - TOBN(0xebde86ec, 0x1ed66f18), TOBN(0x225d906b, 0xd61fce43), - TOBN(0x5cab07d6, 0xe8bed74d), TOBN(0x16e4617f, 0x27855ab7), - TOBN(0x6568aadd, 0xb2fbc3dd), TOBN(0xedb5484f, 0x8aeddf5b), - TOBN(0x878f20e8, 0x6dcf2fad), TOBN(0x3516497c, 0x615f5699),} - , - {TOBN(0xef0a3fec, 0xfa181e69), TOBN(0x9ea02f81, 0x30d69a98), - TOBN(0xb2e9cf8e, 0x66eab95d), TOBN(0x520f2beb, 0x24720021), - TOBN(0x621c540a, 0x1df84361), TOBN(0x12037721, 0x71fa6d5d), - TOBN(0x6e3c7b51, 0x0ff5f6ff), TOBN(0x817a069b, 0xabb2bef3), - TOBN(0x83572fb6, 0xb294cda6), TOBN(0x6ce9bf75, 0xb9039f34), - TOBN(0x20e012f0, 0x095cbb21), TOBN(0xa0aecc1b, 0xd063f0da), - TOBN(0x57c21c3a, 0xf02909e5), TOBN(0xc7d59ecf, 0x48ce9cdc), - TOBN(0x2732b844, 0x8ae336f8), TOBN(0x056e3723, 0x3f4f85f4), - TOBN(0x8a10b531, 0x89e800ca), TOBN(0x50fe0c17, 0x145208fd), - TOBN(0x9e43c0d3, 0xb714ba37), TOBN(0x427d200e, 0x34189acc), - TOBN(0x05dee24f, 0xe616e2c0), TOBN(0x9c25f4c8, 0xee1854c1), - TOBN(0x4d3222a5, 0x8f342a73), TOBN(0x0807804f, 0xa027c952), - TOBN(0xc222653a, 0x4f0d56f3), TOBN(0x961e4047, 0xca28b805), - TOBN(0x2c03f8b0, 0x4a73434b), TOBN(0x4c966787, 0xab712a19), - TOBN(0xcc196c42, 0x864fee42), TOBN(0xc1be93da, 0x5b0ece5c), - TOBN(0xa87d9f22, 0xc131c159), TOBN(0x2bb6d593, 0xdce45655), - TOBN(0x22c49ec9, 0xb809b7ce), TOBN(0x8a41486b, 0xe2c72c2c), - TOBN(0x813b9420, 0xfea0bf36), TOBN(0xb3d36ee9, 0xa66dac69), - TOBN(0x6fddc08a, 0x328cc987), TOBN(0x0a3bcd2c, 0x3a326461), - TOBN(0x7103c49d, 0xd810dbba), TOBN(0xf9d81a28, 0x4b78a4c4), - TOBN(0x3de865ad, 0xe4d55941), TOBN(0xdedafa5e, 0x30384087), - TOBN(0x6f414abb, 0x4ef18b9b), TOBN(0x9ee9ea42, 0xfaee5268), - TOBN(0x260faa16, 0x37a55a4a), TOBN(0xeb19a514, 0x015f93b9), - TOBN(0x51d7ebd2, 0x9e9c3598), TOBN(0x523fc56d, 0x1932178e), - TOBN(0x501d070c, 0xb98fe684), TOBN(0xd60fbe9a, 0x124a1458), - TOBN(0xa45761c8, 0x92bc6b3f), TOBN(0xf5384858, 0xfe6f27cb), - TOBN(0x4b0271f7, 0xb59e763b), TOBN(0x3d4606a9, 0x5b5a8e5e), - TOBN(0x1eda5d9b, 0x05a48292), TOBN(0xda7731d0, 0xe6fec446), - TOBN(0xa3e33693, 0x90d45871), TOBN(0xe9764040, 0x06166d8d), - TOBN(0xb5c33682, 0x89a90403), TOBN(0x4bd17983, 0x72f1d637), - TOBN(0xa616679e, 0xd5d2c53a), TOBN(0x5ec4bcd8, 0xfdcf3b87), - TOBN(0xae6d7613, 0xb66a694e), TOBN(0x7460fc76, 0xe3fc27e5), - TOBN(0x70469b82, 0x95caabee), TOBN(0xde024ca5, 0x889501e3), - TOBN(0x6bdadc06, 0x076ed265), TOBN(0x0cb1236b, 0x5a0ef8b2), - TOBN(0x4065ddbf, 0x0972ebf9), TOBN(0xf1dd3875, 0x22aca432), - TOBN(0xa88b97cf, 0x744aff76), TOBN(0xd1359afd, 0xfe8e3d24), - TOBN(0x52a3ba2b, 0x91502cf3), TOBN(0x2c3832a8, 0x084db75d), - TOBN(0x04a12ddd, 0xde30b1c9), TOBN(0x7802eabc, 0xe31fd60c), - TOBN(0x33707327, 0xa37fddab), TOBN(0x65d6f2ab, 0xfaafa973), - TOBN(0x3525c5b8, 0x11e6f91a), TOBN(0x76aeb0c9, 0x5f46530b), - TOBN(0xe8815ff6, 0x2f93a675), TOBN(0xa6ec9684, 0x05f48679), - TOBN(0x6dcbb556, 0x358ae884), TOBN(0x0af61472, 0xe19e3873), - TOBN(0x72334372, 0xa5f696be), TOBN(0xc65e57ea, 0x6f22fb70), - TOBN(0x268da30c, 0x946cea90), TOBN(0x136a8a87, 0x65681b2a), - TOBN(0xad5e81dc, 0x0f9f44d4), TOBN(0xf09a6960, 0x2c46585a), - TOBN(0xd1649164, 0xc447d1b1), TOBN(0x3b4b36c8, 0x879dc8b1), - TOBN(0x20d4177b, 0x3b6b234c), TOBN(0x096a2505, 0x1730d9d0), - TOBN(0x0611b9b8, 0xef80531d), TOBN(0xba904b3b, 0x64bb495d), - TOBN(0x1192d9d4, 0x93a3147a), TOBN(0x9f30a5dc, 0x9a565545), - TOBN(0x90b1f9cb, 0x6ef07212), TOBN(0x29958546, 0x0d87fc13), - TOBN(0xd3323eff, 0xc17db9ba), TOBN(0xcb18548c, 0xcb1644a8), - TOBN(0x18a306d4, 0x4f49ffbc), TOBN(0x28d658f1, 0x4c2e8684), - TOBN(0x44ba60cd, 0xa99f8c71), TOBN(0x67b7abdb, 0x4bf742ff), - TOBN(0x66310f9c, 0x914b3f99), TOBN(0xae430a32, 0xf412c161), - TOBN(0x1e6776d3, 0x88ace52f), TOBN(0x4bc0fa24, 0x52d7067d), - TOBN(0x03c286aa, 0x8f07cd1b), TOBN(0x4cb8f38c, 0xa985b2c1), - TOBN(0x83ccbe80, 0x8c3bff36), TOBN(0x005a0bd2, 0x5263e575), - TOBN(0x460d7dda, 0x259bdcd1), TOBN(0x4a1c5642, 0xfa5cab6b), - TOBN(0x2b7bdbb9, 0x9fe4fc88), TOBN(0x09418e28, 0xcc97bbb5), - TOBN(0xd8274fb4, 0xa12321ae), TOBN(0xb137007d, 0x5c87b64e), - TOBN(0x80531fe1, 0xc63c4962), TOBN(0x50541e89, 0x981fdb25), - TOBN(0xdc1291a1, 0xfd4c2b6b), TOBN(0xc0693a17, 0xa6df4fca), - TOBN(0xb2c4604e, 0x0117f203), TOBN(0x245f1963, 0x0a99b8d0), - TOBN(0xaedc20aa, 0xc6212c44), TOBN(0xb1ed4e56, 0x520f52a8), - TOBN(0xfe48f575, 0xf8547be3), TOBN(0x0a7033cd, 0xa9e45f98), - TOBN(0x4b45d3a9, 0x18c50100), TOBN(0xb2a6cd6a, 0xa61d41da), - TOBN(0x60bbb4f5, 0x57933c6b), TOBN(0xa7538ebd, 0x2b0d7ffc), - TOBN(0x9ea3ab8d, 0x8cd626b6), TOBN(0x8273a484, 0x3601625a), - TOBN(0x88859845, 0x0168e508), TOBN(0x8cbc9bb2, 0x99a94abd), - TOBN(0x713ac792, 0xfab0a671), TOBN(0xa3995b19, 0x6c9ebffc), - TOBN(0xe711668e, 0x1239e152), TOBN(0x56892558, 0xbbb8dff4), - TOBN(0x8bfc7dab, 0xdbf17963), TOBN(0x5b59fe5a, 0xb3de1253), - TOBN(0x7e3320eb, 0x34a9f7ae), TOBN(0xe5e8cf72, 0xd751efe4), - TOBN(0x7ea003bc, 0xd9be2f37), TOBN(0xc0f551a0, 0xb6c08ef7), - TOBN(0x56606268, 0x038f6725), TOBN(0x1dd38e35, 0x6d92d3b6), - TOBN(0x07dfce7c, 0xc3cbd686), TOBN(0x4e549e04, 0x651c5da8), - TOBN(0x4058f93b, 0x08b19340), TOBN(0xc2fae6f4, 0xcac6d89d), - TOBN(0x4bad8a8c, 0x8f159cc7), TOBN(0x0ddba4b3, 0xcb0b601c), - TOBN(0xda4fc7b5, 0x1dd95f8c), TOBN(0x1d163cd7, 0xcea5c255), - TOBN(0x30707d06, 0x274a8c4c), TOBN(0x79d9e008, 0x2802e9ce), - TOBN(0x02a29ebf, 0xe6ddd505), TOBN(0x37064e74, 0xb50bed1a), - TOBN(0x3f6bae65, 0xa7327d57), TOBN(0x3846f5f1, 0xf83920bc), - TOBN(0x87c37491, 0x60df1b9b), TOBN(0x4cfb2895, 0x2d1da29f), - TOBN(0x10a478ca, 0x4ed1743c), TOBN(0x390c6030, 0x3edd47c6), - TOBN(0x8f3e5312, 0x8c0a78de), TOBN(0xccd02bda, 0x1e85df70), - TOBN(0xd6c75c03, 0xa61b6582), TOBN(0x0762921c, 0xfc0eebd1), - TOBN(0xd34d0823, 0xd85010c0), TOBN(0xd73aaacb, 0x0044cf1f), - TOBN(0xfb4159bb, 0xa3b5e78a), TOBN(0x2287c7f7, 0xe5826f3f), - TOBN(0x4aeaf742, 0x580b1a01), TOBN(0xf080415d, 0x60423b79), - TOBN(0xe12622cd, 0xa7dea144), TOBN(0x49ea4996, 0x59d62472), - TOBN(0xb42991ef, 0x571f3913), TOBN(0x0610f214, 0xf5b25a8a), - TOBN(0x47adc585, 0x30b79e8f), TOBN(0xf90e3df6, 0x07a065a2), - TOBN(0x5d0a5deb, 0x43e2e034), TOBN(0x53fb5a34, 0x444024aa), - TOBN(0xa8628c68, 0x6b0c9f7f), TOBN(0x9c69c29c, 0xac563656), - TOBN(0x5a231feb, 0xbace47b6), TOBN(0xbdce0289, 0x9ea5a2ec), - TOBN(0x05da1fac, 0x9463853e), TOBN(0x96812c52, 0x509e78aa), - TOBN(0xd3fb5771, 0x57151692), TOBN(0xeb2721f8, 0xd98e1c44), - TOBN(0xc0506087, 0x32399be1), TOBN(0xda5a5511, 0xd979d8b8), - TOBN(0x737ed55d, 0xc6f56780), TOBN(0xe20d3004, 0x0dc7a7f4), - TOBN(0x02ce7301, 0xf5941a03), TOBN(0x91ef5215, 0xed30f83a), - TOBN(0x28727fc1, 0x4092d85f), TOBN(0x72d223c6, 0x5c49e41a), - TOBN(0xa7cf30a2, 0xba6a4d81), TOBN(0x7c086209, 0xb030d87d), - TOBN(0x04844c7d, 0xfc588b09), TOBN(0x728cd499, 0x5874bbb0), - TOBN(0xcc1281ee, 0xe84c0495), TOBN(0x0769b5ba, 0xec31958f), - TOBN(0x665c228b, 0xf99c2471), TOBN(0xf2d8a11b, 0x191eb110), - TOBN(0x4594f494, 0xd36d7024), TOBN(0x482ded8b, 0xcdcb25a1), - TOBN(0xc958a9d8, 0xdadd4885), TOBN(0x7004477e, 0xf1d2b547), - TOBN(0x0a45f6ef, 0x2a0af550), TOBN(0x4fc739d6, 0x2f8d6351), - TOBN(0x75cdaf27, 0x786f08a9), TOBN(0x8700bb26, 0x42c2737f), - TOBN(0x855a7141, 0x1c4e2670), TOBN(0x810188c1, 0x15076fef), - TOBN(0xc251d0c9, 0xabcd3297), TOBN(0xae4c8967, 0xf48108eb), - TOBN(0xbd146de7, 0x18ceed30), TOBN(0xf9d4f07a, 0xc986bced), - TOBN(0x5ad98ed5, 0x83fa1e08), TOBN(0x7780d33e, 0xbeabd1fb), - TOBN(0xe330513c, 0x903b1196), TOBN(0xba11de9e, 0xa47bc8c4), - TOBN(0x684334da, 0x02c2d064), TOBN(0x7ecf360d, 0xa48de23b), - TOBN(0x57a1b474, 0x0a9089d8), TOBN(0xf28fa439, 0xff36734c), - TOBN(0xf2a482cb, 0xea4570b3), TOBN(0xee65d68b, 0xa5ebcee9), - TOBN(0x988d0036, 0xb9694cd5), TOBN(0x53edd0e9, 0x37885d32), - TOBN(0xe37e3307, 0xbeb9bc6d), TOBN(0xe9abb907, 0x9f5c6768), - TOBN(0x4396ccd5, 0x51f2160f), TOBN(0x2500888c, 0x47336da6), - TOBN(0x383f9ed9, 0x926fce43), TOBN(0x809dd1c7, 0x04da2930), - TOBN(0x30f6f596, 0x8a4cb227), TOBN(0x0d700c7f, 0x73a56b38), - TOBN(0x1825ea33, 0xab64a065), TOBN(0xaab9b735, 0x1338df80), - TOBN(0x1516100d, 0x9b63f57f), TOBN(0x2574395a, 0x27a6a634), - TOBN(0xb5560fb6, 0x700a1acd), TOBN(0xe823fd73, 0xfd999681), - TOBN(0xda915d1f, 0x6cb4e1ba), TOBN(0x0d030118, 0x6ebe00a3), - TOBN(0x744fb0c9, 0x89fca8cd), TOBN(0x970d01db, 0xf9da0e0b), - TOBN(0x0ad8c564, 0x7931d76f), TOBN(0xb15737bf, 0xf659b96a), - TOBN(0xdc9933e8, 0xa8b484e7), TOBN(0xb2fdbdf9, 0x7a26dec7), - TOBN(0x2349e9a4, 0x9f1f0136), TOBN(0x7860368e, 0x70fddddb), - TOBN(0xd93d2c1c, 0xf9ad3e18), TOBN(0x6d6c5f17, 0x689f4e79), - TOBN(0x7a544d91, 0xb24ff1b6), TOBN(0x3e12a5eb, 0xfe16cd8c), - TOBN(0x543574e9, 0xa56b872f), TOBN(0xa1ad550c, 0xfcf68ea2), - TOBN(0x689e37d2, 0x3f560ef7), TOBN(0x8c54b9ca, 0xc9d47a8b), - TOBN(0x46d40a4a, 0x088ac342), TOBN(0xec450c7c, 0x1576c6d0), - TOBN(0xb589e31c, 0x1f9689e9), TOBN(0xdacf2602, 0xb8781718), - TOBN(0xa89237c6, 0xc8cb6b42), TOBN(0x1326fc93, 0xb96ef381), - TOBN(0x55d56c6d, 0xb5f07825), TOBN(0xacba2eea, 0x7449e22d), - TOBN(0x74e0887a, 0x633c3000), TOBN(0xcb6cd172, 0xd7cbcf71), - TOBN(0x309e81de, 0xc36cf1be), TOBN(0x07a18a6d, 0x60ae399b), - TOBN(0xb36c2679, 0x9edce57e), TOBN(0x52b892f4, 0xdf001d41), - TOBN(0xd884ae5d, 0x16a1f2c6), TOBN(0x9b329424, 0xefcc370a), - TOBN(0x3120daf2, 0xbd2e21df), TOBN(0x55298d2d, 0x02470a99), - TOBN(0x0b78af6c, 0xa05db32e), TOBN(0x5c76a331, 0x601f5636), - TOBN(0xaae861ff, 0xf8a4f29c), TOBN(0x70dc9240, 0xd68f8d49), - TOBN(0x960e649f, 0x81b1321c), TOBN(0x3d2c801b, 0x8792e4ce), - TOBN(0xf479f772, 0x42521876), TOBN(0x0bed93bc, 0x416c79b1), - TOBN(0xa67fbc05, 0x263e5bc9), TOBN(0x01e8e630, 0x521db049), - TOBN(0x76f26738, 0xc6f3431e), TOBN(0xe609cb02, 0xe3267541), - TOBN(0xb10cff2d, 0x818c877c), TOBN(0x1f0e75ce, 0x786a13cb), - TOBN(0xf4fdca64, 0x1158544d), TOBN(0x5d777e89, 0x6cb71ed0), - TOBN(0x3c233737, 0xa9aa4755), TOBN(0x7b453192, 0xe527ab40), - TOBN(0xdb59f688, 0x39f05ffe), TOBN(0x8f4f4be0, 0x6d82574e), - TOBN(0xcce3450c, 0xee292d1b), TOBN(0xaa448a12, 0x61ccd086), - TOBN(0xabce91b3, 0xf7914967), TOBN(0x4537f09b, 0x1908a5ed), - TOBN(0xa812421e, 0xf51042e7), TOBN(0xfaf5cebc, 0xec0b3a34), - TOBN(0x730ffd87, 0x4ca6b39a), TOBN(0x70fb72ed, 0x02efd342), - TOBN(0xeb4735f9, 0xd75c8edb), TOBN(0xc11f2157, 0xc278aa51), - TOBN(0xc459f635, 0xbf3bfebf), TOBN(0x3a1ff0b4, 0x6bd9601f), - TOBN(0xc9d12823, 0xc420cb73), TOBN(0x3e9af3e2, 0x3c2915a3), - TOBN(0xe0c82c72, 0xb41c3440), TOBN(0x175239e5, 0xe3039a5f), - TOBN(0xe1084b8a, 0x558795a3), TOBN(0x328d0a1d, 0xd01e5c60), - TOBN(0x0a495f2e, 0xd3788a04), TOBN(0x25d8ff16, 0x66c11a9f), - TOBN(0xf5155f05, 0x9ed692d6), TOBN(0x954fa107, 0x4f425fe4), - TOBN(0xd16aabf2, 0xe98aaa99), TOBN(0x90cd8ba0, 0x96b0f88a), - TOBN(0x957f4782, 0xc154026a), TOBN(0x54ee0734, 0x52af56d2), - TOBN(0xbcf89e54, 0x45b4147a), TOBN(0x3d102f21, 0x9a52816c), - TOBN(0x6808517e, 0x39b62e77), TOBN(0x92e25421, 0x69169ad8), - TOBN(0xd721d871, 0xbb608558), TOBN(0x60e4ebae, 0xf6d4ff9b), - TOBN(0x0ba10819, 0x41f2763e), TOBN(0xca2e45be, 0x51ee3247), - TOBN(0x66d172ec, 0x2bfd7a5f), TOBN(0x528a8f2f, 0x74d0b12d), - TOBN(0xe17f1e38, 0xdabe70dc), TOBN(0x1d5d7316, 0x9f93983c), - TOBN(0x51b2184a, 0xdf423e31), TOBN(0xcb417291, 0xaedb1a10), - TOBN(0x2054ca93, 0x625bcab9), TOBN(0x54396860, 0xa98998f0), - TOBN(0x4e53f6c4, 0xa54ae57e), TOBN(0x0ffeb590, 0xee648e9d), - TOBN(0xfbbdaadc, 0x6afaf6bc), TOBN(0xf88ae796, 0xaa3bfb8a), - TOBN(0x209f1d44, 0xd2359ed9), TOBN(0xac68dd03, 0xf3544ce2), - TOBN(0xf378da47, 0xfd51e569), TOBN(0xe1abd860, 0x2cc80097), - TOBN(0x23ca18d9, 0x343b6e3a), TOBN(0x480797e8, 0xb40a1bae), - TOBN(0xd1f0c717, 0x533f3e67), TOBN(0x44896970, 0x06e6cdfc), - TOBN(0x8ca21055, 0x52a82e8d), TOBN(0xb2caf785, 0x78460cdc), - TOBN(0x4c1b7b62, 0xe9037178), TOBN(0xefc09d2c, 0xdb514b58), - TOBN(0x5f2df9ee, 0x9113be5c), TOBN(0x2fbda78f, 0xb3f9271c), - TOBN(0xe09a81af, 0x8f83fc54), TOBN(0x06b13866, 0x8afb5141), - TOBN(0x38f6480f, 0x43e3865d), TOBN(0x72dd77a8, 0x1ddf47d9), - TOBN(0xf2a8e971, 0x4c205ff7), TOBN(0x46d449d8, 0x9d088ad8), - TOBN(0x926619ea, 0x185d706f), TOBN(0xe47e02eb, 0xc7dd7f62), - TOBN(0xe7f120a7, 0x8cbc2031), TOBN(0xc18bef00, 0x998d4ac9), - TOBN(0x18f37a9c, 0x6bdf22da), TOBN(0xefbc432f, 0x90dc82df), - TOBN(0xc52cef8e, 0x5d703651), TOBN(0x82887ba0, 0xd99881a5), - TOBN(0x7cec9dda, 0xb920ec1d), TOBN(0xd0d7e8c3, 0xec3e8d3b), - TOBN(0x445bc395, 0x4ca88747), TOBN(0xedeaa2e0, 0x9fd53535), - TOBN(0x461b1d93, 0x6cc87475), TOBN(0xd92a52e2, 0x6d2383bd), - TOBN(0xfabccb59, 0xd7903546), TOBN(0x6111a761, 0x3d14b112), - TOBN(0x0ae584fe, 0xb3d5f612), TOBN(0x5ea69b8d, 0x60e828ec), - TOBN(0x6c078985, 0x54087030), TOBN(0x649cab04, 0xac4821fe), - TOBN(0x25ecedcf, 0x8bdce214), TOBN(0xb5622f72, 0x86af7361), - TOBN(0x0e1227aa, 0x7038b9e2), TOBN(0xd0efb273, 0xac20fa77), - TOBN(0x817ff88b, 0x79df975b), TOBN(0x856bf286, 0x1999503e), - TOBN(0xb4d5351f, 0x5038ec46), TOBN(0x740a52c5, 0xfc42af6e), - TOBN(0x2e38bb15, 0x2cbb1a3f), TOBN(0xc3eb99fe, 0x17a83429), - TOBN(0xca4fcbf1, 0xdd66bb74), TOBN(0x880784d6, 0xcde5e8fc), - TOBN(0xddc84c1c, 0xb4e7a0be), TOBN(0x8780510d, 0xbd15a72f), - TOBN(0x44bcf1af, 0x81ec30e1), TOBN(0x141e50a8, 0x0a61073e), - TOBN(0x0d955718, 0x47be87ae), TOBN(0x68a61417, 0xf76a4372), - TOBN(0xf57e7e87, 0xc607c3d3), TOBN(0x043afaf8, 0x5252f332), - TOBN(0xcc14e121, 0x1552a4d2), TOBN(0xb6dee692, 0xbb4d4ab4), - TOBN(0xb6ab74c8, 0xa03816a4), TOBN(0x84001ae4, 0x6f394a29), - TOBN(0x5bed8344, 0xd795fb45), TOBN(0x57326e7d, 0xb79f55a5), - TOBN(0xc9533ce0, 0x4accdffc), TOBN(0x53473caf, 0x3993fa04), - TOBN(0x7906eb93, 0xa13df4c8), TOBN(0xa73e51f6, 0x97cbe46f), - TOBN(0xd1ab3ae1, 0x0ae4ccf8), TOBN(0x25614508, 0x8a5b3dbc), - TOBN(0x61eff962, 0x11a71b27), TOBN(0xdf71412b, 0x6bb7fa39), - TOBN(0xb31ba6b8, 0x2bd7f3ef), TOBN(0xb0b9c415, 0x69180d29), - TOBN(0xeec14552, 0x014cdde5), TOBN(0x702c624b, 0x227b4bbb), - TOBN(0x2b15e8c2, 0xd3e988f3), TOBN(0xee3bcc6d, 0xa4f7fd04), - TOBN(0x9d00822a, 0x42ac6c85), TOBN(0x2db0cea6, 0x1df9f2b7), - TOBN(0xd7cad2ab, 0x42de1e58), TOBN(0x346ed526, 0x2d6fbb61), - TOBN(0xb3962995, 0x1a2faf09), TOBN(0x2fa8a580, 0x7c25612e), - TOBN(0x30ae04da, 0x7cf56490), TOBN(0x75662908, 0x0eea3961), - TOBN(0x3609f5c5, 0x3d080847), TOBN(0xcb081d39, 0x5241d4f6), - TOBN(0xb4fb3810, 0x77961a63), TOBN(0xc20c5984, 0x2abb66fc), - TOBN(0x3d40aa7c, 0xf902f245), TOBN(0x9cb12736, 0x4e536b1e), - TOBN(0x5eda24da, 0x99b3134f), TOBN(0xafbd9c69, 0x5cd011af), - TOBN(0x9a16e30a, 0xc7088c7d), TOBN(0x5ab65710, 0x3207389f), - TOBN(0x1b09547f, 0xe7407a53), TOBN(0x2322f9d7, 0x4fdc6eab), - TOBN(0xc0f2f22d, 0x7430de4d), TOBN(0x19382696, 0xe68ca9a9), - TOBN(0x17f1eff1, 0x918e5868), TOBN(0xe3b5b635, 0x586f4204), - TOBN(0x146ef980, 0x3fbc4341), TOBN(0x359f2c80, 0x5b5eed4e), - TOBN(0x9f35744e, 0x7482e41d), TOBN(0x9a9ac3ec, 0xf3b224c2), - TOBN(0x9161a6fe, 0x91fc50ae), TOBN(0x89ccc66b, 0xc613fa7c), - TOBN(0x89268b14, 0xc732f15a), TOBN(0x7cd6f4e2, 0xb467ed03), - TOBN(0xfbf79869, 0xce56b40e), TOBN(0xf93e094c, 0xc02dde98), - TOBN(0xefe0c3a8, 0xedee2cd7), TOBN(0x90f3ffc0, 0xb268fd42), - TOBN(0x81a7fd56, 0x08241aed), TOBN(0x95ab7ad8, 0x00b1afe8), - TOBN(0x40127056, 0x3e310d52), TOBN(0xd3ffdeb1, 0x09d9fc43), - TOBN(0xc8f85c91, 0xd11a8594), TOBN(0x2e74d258, 0x31cf6db8), - TOBN(0x829c7ca3, 0x02b5dfd0), TOBN(0xe389cfbe, 0x69143c86), - TOBN(0xd01b6405, 0x941768d8), TOBN(0x45103995, 0x03bf825d), - TOBN(0xcc4ee166, 0x56cd17e2), TOBN(0xbea3c283, 0xba037e79), - TOBN(0x4e1ac06e, 0xd9a47520), TOBN(0xfbfe18aa, 0xaf852404), - TOBN(0x5615f8e2, 0x8087648a), TOBN(0x7301e47e, 0xb9d150d9), - TOBN(0x79f9f9dd, 0xb299b977), TOBN(0x76697a7b, 0xa5b78314), - TOBN(0x10d67468, 0x7d7c90e7), TOBN(0x7afffe03, 0x937210b5), - 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TOBN(0x32670d2f, 0x7189e71f), TOBN(0xc6438748, 0x5ecf91e7), - TOBN(0x15758e57, 0xdb757a21), TOBN(0x427d09f8, 0x290a9ce5), - TOBN(0x846a308f, 0x38384a7a), TOBN(0xaac3acb4, 0xb0732b99), - TOBN(0x9e941009, 0x17845819), TOBN(0x95cba111, 0xa7ce5e03), - TOBN(0x6f3d4f7f, 0xb00009c4), TOBN(0xb8396c27, 0x8ff28b5f), - TOBN(0xb1a9ae43, 0x1c97975d), TOBN(0x9d7ba8af, 0xe5d9fed5), - TOBN(0x338cf09f, 0x34f485b6), TOBN(0xbc0ddacc, 0x64122516), - TOBN(0xa450da12, 0x05d471fe), TOBN(0x4c3a6250, 0x628dd8c9), - TOBN(0x69c7d103, 0xd1295837), TOBN(0xa2893e50, 0x3807eb2f), - TOBN(0xd6e1e1de, 0xbdb41491), TOBN(0xc630745b, 0x5e138235), - TOBN(0xc892109e, 0x48661ae1), TOBN(0x8d17e7eb, 0xea2b2674), - TOBN(0x00ec0f87, 0xc328d6b5), TOBN(0x6d858645, 0xf079ff9e), - TOBN(0x6cdf243e, 0x19115ead), TOBN(0x1ce1393e, 0x4bac4fcf), - TOBN(0x2c960ed0, 0x9c29f25b), TOBN(0x59be4d8e, 0x9d388a05), - TOBN(0x0d46e06c, 0xd0def72b), TOBN(0xb923db5d, 0xe0342748), - TOBN(0xf7d3aacd, 0x936d4a3d), TOBN(0x558519cc, 0x0b0b099e), - TOBN(0x3ea8ebf8, 0x827097ef), TOBN(0x259353db, 0xd054f55d), - TOBN(0x84c89abc, 0x6d2ed089), TOBN(0x5c548b69, 0x8e096a7c), - TOBN(0xd587f616, 0x994b995d), TOBN(0x4d1531f6, 0xa5845601), - TOBN(0x792ab31e, 0x451fd9f0), TOBN(0xc8b57bb2, 0x65adf6ca), - TOBN(0x68440fcb, 0x1cd5ad73), TOBN(0xb9c860e6, 0x6144da4f), - TOBN(0x2ab286aa, 0x8462beb8), TOBN(0xcc6b8fff, 0xef46797f), - TOBN(0xac820da4, 0x20c8a471), TOBN(0x69ae05a1, 0x77ff7faf), - TOBN(0xb9163f39, 0xbfb5da77), TOBN(0xbd03e590, 0x2c73ab7a), - TOBN(0x7e862b5e, 0xb2940d9e), TOBN(0x3c663d86, 0x4b9af564), - TOBN(0xd8309031, 0xbde3033d), TOBN(0x298231b2, 0xd42c5bc6), - TOBN(0x42090d2c, 0x552ad093), TOBN(0xa4799d1c, 0xff854695), - TOBN(0x0a88b5d6, 0xd31f0d00), TOBN(0xf8b40825, 0xa2f26b46), - TOBN(0xec29b1ed, 0xf1bd7218), TOBN(0xd491c53b, 0x4b24c86e), - TOBN(0xd2fe588f, 0x3395ea65), TOBN(0x6f3764f7, 0x4456ef15), - TOBN(0xdb43116d, 0xcdc34800), TOBN(0xcdbcd456, 0xc1e33955), - TOBN(0xefdb5540, 0x74ab286b), TOBN(0x948c7a51, 0xd18c5d7c), - TOBN(0xeb81aa37, 0x7378058e), TOBN(0x41c746a1, 0x04411154), - TOBN(0xa10c73bc, 0xfb828ac7), TOBN(0x6439be91, 0x9d972b29), - TOBN(0x4bf3b4b0, 0x43a2fbad), TOBN(0x39e6dadf, 0x82b5e840), - TOBN(0x4f716408, 0x6397bd4c), TOBN(0x0f7de568, 0x7f1eeccb), - TOBN(0x5865c5a1, 0xd2ffbfc1), TOBN(0xf74211fa, 0x4ccb6451), - TOBN(0x66368a88, 0xc0b32558), TOBN(0x5b539dc2, 0x9ad7812e), - TOBN(0x579483d0, 0x2f3af6f6), TOBN(0x52132078, 0x99934ece), - TOBN(0x50b9650f, 0xdcc9e983), TOBN(0xca989ec9, 0xaee42b8a), - TOBN(0x6a44c829, 0xd6f62f99), TOBN(0x8f06a309, 0x4c2a7c0c), - TOBN(0x4ea2b3a0, 0x98a0cb0a), TOBN(0x5c547b70, 0xbeee8364), - TOBN(0x461d40e1, 0x682afe11), TOBN(0x9e0fc77a, 0x7b41c0a8), - TOBN(0x79e4aefd, 0xe20d5d36), TOBN(0x2916e520, 0x32dd9f63), - TOBN(0xf59e52e8, 0x3f883faf), TOBN(0x396f9639, 0x2b868d35), - TOBN(0xc902a9df, 0x4ca19881), TOBN(0x0fc96822, 0xdb2401a6), - TOBN(0x41237587, 0x66f1c68d), TOBN(0x10fc6de3, 0xfb476c0d), - TOBN(0xf8b6b579, 0x841f5d90), TOBN(0x2ba8446c, 0xfa24f44a), - TOBN(0xa237b920, 0xef4a9975), TOBN(0x60bb6004, 0x2330435f), - TOBN(0xd6f4ab5a, 0xcfb7e7b5), TOBN(0xb2ac5097, 0x83435391), - TOBN(0xf036ee2f, 0xb0d1ea67), TOBN(0xae779a6a, 0x74c56230), - TOBN(0x59bff8c8, 0xab838ae6), TOBN(0xcd83ca99, 0x9b38e6f0), - TOBN(0xbb27bef5, 0xe33deed3), TOBN(0xe6356f6f, 0x001892a8), - TOBN(0xbf3be6cc, 0x7adfbd3e), TOBN(0xaecbc81c, 0x33d1ac9d), - TOBN(0xe4feb909, 0xe6e861dc), TOBN(0x90a247a4, 0x53f5f801), - TOBN(0x01c50acb, 0x27346e57), TOBN(0xce29242e, 0x461acc1b), - TOBN(0x04dd214a, 0x2f998a91), TOBN(0x271ee9b1, 0xd4baf27b), - TOBN(0x7e3027d1, 0xe8c26722), TOBN(0x21d1645c, 0x1820dce5), - TOBN(0x086f242c, 0x7501779c), TOBN(0xf0061407, 0xfa0e8009), - TOBN(0xf23ce477, 0x60187129), TOBN(0x05bbdedb, 0x0fde9bd0), - TOBN(0x682f4832, 0x25d98473), TOBN(0xf207fe85, 0x5c658427), - TOBN(0xb6fdd7ba, 0x4166ffa1), TOBN(0x0c314056, 0x9eed799d), - TOBN(0x0db8048f, 0x4107e28f), TOBN(0x74ed3871, 0x41216840), - TOBN(0x74489f8f, 0x56a3c06e), TOBN(0x1e1c005b, 0x12777134), - TOBN(0xdb332a73, 0xf37ec3c3), TOBN(0xc65259bd, 0xdd59eba0), - TOBN(0x2291709c, 0xdb4d3257), TOBN(0x9a793b25, 0xbd389390), - TOBN(0xf39fe34b, 0xe43756f0), TOBN(0x2f76bdce, 0x9afb56c9), - TOBN(0x9f37867a, 0x61208b27), TOBN(0xea1d4307, 0x089972c3), - TOBN(0x8c595330, 0x8bdf623a), TOBN(0x5f5accda, 0x8441fb7d), - TOBN(0xfafa9418, 0x32ddfd95), TOBN(0x6ad40c5a, 0x0fde9be7), - TOBN(0x43faba89, 0xaeca8709), TOBN(0xc64a7cf1, 0x2c248a9d), - TOBN(0x16620252, 0x72637a76), TOBN(0xaee1c791, 0x22b8d1bb), - TOBN(0xf0f798fd, 0x21a843b2), TOBN(0x56e4ed4d, 0x8d005cb1), - TOBN(0x355f7780, 0x1f0d8abe), TOBN(0x197b04cf, 0x34522326), - TOBN(0x41f9b31f, 0xfd42c13f), TOBN(0x5ef7feb2, 0xb40f933d), - TOBN(0x27326f42, 0x5d60bad4), TOBN(0x027ecdb2, 0x8c92cf89), - TOBN(0x04aae4d1, 0x4e3352fe), TOBN(0x08414d2f, 0x73591b90), - TOBN(0x5ed6124e, 0xb7da7d60), TOBN(0xb985b931, 0x4d13d4ec), - TOBN(0xa592d3ab, 0x96bf36f9), TOBN(0x012dbed5, 0xbbdf51df), - TOBN(0xa57963c0, 0xdf6c177d), TOBN(0x010ec869, 0x87ca29cf), - TOBN(0xba1700f6, 0xbf926dff), TOBN(0x7c9fdbd1, 0xf4bf6bc2), - TOBN(0xdc18dc8f, 0x64da11f5), TOBN(0xa6074b7a, 0xd938ae75), - TOBN(0x14270066, 0xe84f44a4), TOBN(0x99998d38, 0xd27b954e), - TOBN(0xc1be8ab2, 0xb4f38e9a), TOBN(0x8bb55bbf, 0x15c01016), - TOBN(0xf73472b4, 0x0ea2ab30), TOBN(0xd365a340, 0xf73d68dd), - TOBN(0xc01a7168, 0x19c2e1eb), TOBN(0x32f49e37, 0x34061719), - TOBN(0xb73c57f1, 0x01d8b4d6), TOBN(0x03c8423c, 0x26b47700), - TOBN(0x321d0bc8, 0xa4d8826a), TOBN(0x6004213c, 0x4bc0e638), - TOBN(0xf78c64a1, 0xc1c06681), TOBN(0x16e0a16f, 0xef018e50), - TOBN(0x31cbdf91, 0xdb42b2b3), TOBN(0xf8f4ffce, 0xe0d36f58), - TOBN(0xcdcc71cd, 0x4cc5e3e0), TOBN(0xd55c7cfa, 0xa129e3e0), - TOBN(0xccdb6ba0, 0x0fb2cbf1), TOBN(0x6aba0005, 0xc4bce3cb), - TOBN(0x501cdb30, 0xd232cfc4), TOBN(0x9ddcf12e, 0xd58a3cef), - TOBN(0x02d2cf9c, 0x87e09149), TOBN(0xdc5d7ec7, 0x2c976257), - TOBN(0x6447986e, 0x0b50d7dd), TOBN(0x88fdbaf7, 0x807f112a), - TOBN(0x58c9822a, 0xb00ae9f6), TOBN(0x6abfb950, 0x6d3d27e0), - TOBN(0xd0a74487, 0x8a429f4f), TOBN(0x0649712b, 0xdb516609), - TOBN(0xb826ba57, 0xe769b5df), TOBN(0x82335df2, 0x1fc7aaf2), - TOBN(0x2389f067, 0x5c93d995), TOBN(0x59ac367a, 0x68677be6), - TOBN(0xa77985ff, 0x21d9951b), TOBN(0x038956fb, 0x85011cce), - TOBN(0x608e48cb, 0xbb734e37), TOBN(0xc08c0bf2, 0x2be5b26f), - TOBN(0x17bbdd3b, 0xf9b1a0d9), TOBN(0xeac7d898, 0x10483319), - TOBN(0xc95c4baf, 0xbc1a6dea), TOBN(0xfdd0e2bf, 0x172aafdb), - TOBN(0x40373cbc, 0x8235c41a), TOBN(0x14303f21, 0xfb6f41d5), - TOBN(0xba063621, 0x0408f237), TOBN(0xcad3b09a, 0xecd2d1ed), - TOBN(0x4667855a, 0x52abb6a2), TOBN(0xba9157dc, 0xaa8b417b), - TOBN(0xfe7f3507, 0x4f013efb), TOBN(0x1b112c4b, 0xaa38c4a2), - TOBN(0xa1406a60, 0x9ba64345), TOBN(0xe53cba33, 0x6993c80b), - TOBN(0x45466063, 0xded40d23), TOBN(0x3d5f1f4d, 0x54908e25), - TOBN(0x9ebefe62, 0x403c3c31), TOBN(0x274ea0b5, 0x0672a624), - TOBN(0xff818d99, 0x451d1b71), TOBN(0x80e82643, 0x8f79cf79), - TOBN(0xa165df13, 0x73ce37f5), TOBN(0xa744ef4f, 0xfe3a21fd), - TOBN(0x73f1e7f5, 0xcf551396), TOBN(0xc616898e, 0x868c676b), - TOBN(0x671c28c7, 0x8c442c36), TOBN(0xcfe5e558, 0x5e0a317d), - TOBN(0x1242d818, 0x7051f476), TOBN(0x56fad2a6, 0x14f03442), - TOBN(0x262068bc, 0x0a44d0f6), TOBN(0xdfa2cd6e, 0xce6edf4e), - TOBN(0x0f43813a, 0xd15d1517), TOBN(0x61214cb2, 0x377d44f5), - TOBN(0xd399aa29, 0xc639b35f), TOBN(0x42136d71, 0x54c51c19), - TOBN(0x9774711b, 0x08417221), TOBN(0x0a5546b3, 0x52545a57), - TOBN(0x80624c41, 0x1150582d), TOBN(0x9ec5c418, 0xfbc555bc), - TOBN(0x2c87dcad, 0x771849f1), TOBN(0xb0c932c5, 0x01d7bf6f), - TOBN(0x6aa5cd3e, 0x89116eb2), TOBN(0xd378c25a, 0x51ca7bd3), - TOBN(0xc612a0da, 0x9e6e3e31), TOBN(0x0417a54d, 0xb68ad5d0), - TOBN(0x00451e4a, 0x22c6edb8), TOBN(0x9fbfe019, 0xb42827ce), - TOBN(0x2fa92505, 0xba9384a2), TOBN(0x21b8596e, 0x64ad69c1), - TOBN(0x8f4fcc49, 0x983b35a6), TOBN(0xde093760, 0x72754672), - TOBN(0x2f14ccc8, 0xf7bffe6d), TOBN(0x27566bff, 0x5d94263d), - TOBN(0xb5b4e9c6, 0x2df3ec30), TOBN(0x94f1d7d5, 0x3e6ea6ba), - TOBN(0x97b7851a, 0xaaca5e9b), TOBN(0x518aa521, 0x56713b97), - TOBN(0x3357e8c7, 0x150a61f6), TOBN(0x7842e7e2, 0xec2c2b69), - TOBN(0x8dffaf65, 0x6868a548), TOBN(0xd963bd82, 0xe068fc81), - TOBN(0x64da5c8b, 0x65917733), TOBN(0x927090ff, 0x7b247328),} - , - {TOBN(0x214bc9a7, 0xd298c241), TOBN(0xe3b697ba, 0x56807cfd), - TOBN(0xef1c7802, 0x4564eadb), TOBN(0xdde8cdcf, 0xb48149c5), - TOBN(0x946bf0a7, 0x5a4d2604), TOBN(0x27154d7f, 0x6c1538af), - TOBN(0x95cc9230, 0xde5b1fcc), TOBN(0xd88519e9, 0x66864f82), - TOBN(0xb828dd1a, 0x7cb1282c), TOBN(0xa08d7626, 0xbe46973a), - TOBN(0x6baf8d40, 0xe708d6b2), TOBN(0x72571fa1, 0x4daeb3f3), - TOBN(0x85b1732f, 0xf22dfd98), TOBN(0x87ab01a7, 0x0087108d), - TOBN(0xaaaafea8, 0x5988207a), TOBN(0xccc832f8, 0x69f00755), - TOBN(0x964d950e, 0x36ff3bf0), TOBN(0x8ad20f6f, 0xf0b34638), - TOBN(0x4d9177b3, 0xb5d7585f), TOBN(0xcf839760, 0xef3f019f), - TOBN(0x582fc5b3, 0x8288c545), TOBN(0x2f8e4e9b, 0x13116bd1), - TOBN(0xf91e1b2f, 0x332120ef), TOBN(0xcf568724, 0x2a17dd23), - TOBN(0x488f1185, 0xca8d9d1a), TOBN(0xadf2c77d, 0xd987ded2), - TOBN(0x5f3039f0, 0x60c46124), TOBN(0xe5d70b75, 0x71e095f4), - TOBN(0x82d58650, 0x6260e70f), TOBN(0x39d75ea7, 0xf750d105), - TOBN(0x8cf3d0b1, 0x75bac364), TOBN(0xf3a7564d, 0x21d01329), - TOBN(0x182f04cd, 0x2f52d2a7), TOBN(0x4fde149a, 0xe2df565a), - TOBN(0xb80c5eec, 0xa79fb2f7), TOBN(0xab491d7b, 0x22ddc897), - TOBN(0x99d76c18, 0xc6312c7f), TOBN(0xca0d5f3d, 0x6aa41a57), - TOBN(0x71207325, 0xd15363a0), TOBN(0xe82aa265, 0xbeb252c2), - TOBN(0x94ab4700, 0xec3128c2), TOBN(0x6c76d862, 0x8e383f49), - TOBN(0xdc36b150, 0xc03024eb), TOBN(0xfb439477, 0x53daac69), - TOBN(0xfc68764a, 0x8dc79623), TOBN(0x5b86995d, 0xb440fbb2), - TOBN(0xd66879bf, 0xccc5ee0d), TOBN(0x05228942, 0x95aa8bd3), - TOBN(0xb51a40a5, 0x1e6a75c1), TOBN(0x24327c76, 0x0ea7d817), - TOBN(0x06630182, 0x07774597), TOBN(0xd6fdbec3, 0x97fa7164), - TOBN(0x20c99dfb, 0x13c90f48), TOBN(0xd6ac5273, 0x686ef263), - TOBN(0xc6a50bdc, 0xfef64eeb), TOBN(0xcd87b281, 0x86fdfc32), - TOBN(0xb24aa43e, 0x3fcd3efc), TOBN(0xdd26c034, 0xb8088e9a), - TOBN(0xa5ef4dc9, 0xbd3d46ea), TOBN(0xa2f99d58, 0x8a4c6a6f), - TOBN(0xddabd355, 0x2f1da46c), TOBN(0x72c3f8ce, 0x1afacdd1), - TOBN(0xd90c4eee, 0x92d40578), TOBN(0xd28bb41f, 0xca623b94), - TOBN(0x50fc0711, 0x745edc11), TOBN(0x9dd9ad7d, 0x3dc87558), - TOBN(0xce6931fb, 0xb49d1e64), TOBN(0x6c77a0a2, 0xc98bd0f9), - TOBN(0x62b9a629, 0x6baf7cb1), TOBN(0xcf065f91, 0xccf72d22), - TOBN(0x7203cce9, 0x79639071), TOBN(0x09ae4885, 0xf9cb732f), - TOBN(0x5e7c3bec, 0xee8314f3), TOBN(0x1c068aed, 0xdbea298f), - TOBN(0x08d381f1, 0x7c80acec), TOBN(0x03b56be8, 0xe330495b), - TOBN(0xaeffb8f2, 0x9222882d), TOBN(0x95ff38f6, 0xc4af8bf7), - TOBN(0x50e32d35, 0x1fc57d8c), TOBN(0x6635be52, 0x17b444f0), - TOBN(0x04d15276, 0xa5177900), TOBN(0x4e1dbb47, 0xf6858752), - TOBN(0x5b475622, 0xc615796c), TOBN(0xa6fa0387, 0x691867bf), - TOBN(0xed7f5d56, 0x2844c6d0), TOBN(0xc633cf9b, 0x03a2477d), - TOBN(0xf6be5c40, 0x2d3721d6), TOBN(0xaf312eb7, 0xe9fd68e6), - TOBN(0x242792d2, 0xe7417ce1), TOBN(0xff42bc71, 0x970ee7f5), - TOBN(0x1ff4dc6d, 0x5c67a41e), TOBN(0x77709b7b, 0x20882a58), - TOBN(0x3554731d, 0xbe217f2c), TOBN(0x2af2a8cd, 0x5bb72177), - TOBN(0x58eee769, 0x591dd059), TOBN(0xbb2930c9, 0x4bba6477), - TOBN(0x863ee047, 0x7d930cfc), TOBN(0x4c262ad1, 0x396fd1f4), - TOBN(0xf4765bc8, 0x039af7e1), TOBN(0x2519834b, 0x5ba104f6), - TOBN(0x7cd61b4c, 0xd105f961), TOBN(0xa5415da5, 0xd63bca54), - TOBN(0x778280a0, 0x88a1f17c), TOBN(0xc4968949, 0x2329512c), - TOBN(0x174a9126, 0xcecdaa7a), TOBN(0xfc8c7e0e, 0x0b13247b), - TOBN(0x29c110d2, 0x3484c1c4), TOBN(0xf8eb8757, 0x831dfc3b), - TOBN(0x022f0212, 0xc0067452), TOBN(0x3f6f69ee, 0x7b9b926c), - TOBN(0x09032da0, 0xef42daf4), TOBN(0x79f00ade, 0x83f80de4), - TOBN(0x6210db71, 0x81236c97), TOBN(0x74f7685b, 0x3ee0781f), - TOBN(0x4df7da7b, 0xa3e41372), TOBN(0x2aae38b1, 0xb1a1553e), - TOBN(0x1688e222, 0xf6dd9d1b), TOBN(0x57695448, 0x5b8b6487), - TOBN(0x478d2127, 0x4b2edeaa), TOBN(0xb2818fa5, 0x1e85956a), - TOBN(0x1e6addda, 0xf176f2c0), TOBN(0x01ca4604, 0xe2572658), - TOBN(0x0a404ded, 0x85342ffb), TOBN(0x8cf60f96, 0x441838d6), - TOBN(0x9bbc691c, 0xc9071c4a), TOBN(0xfd588744, 0x34442803), - TOBN(0x97101c85, 0x809c0d81), TOBN(0xa7fb754c, 0x8c456f7f), - TOBN(0xc95f3c5c, 0xd51805e1), TOBN(0xab4ccd39, 0xb299dca8), - TOBN(0x3e03d20b, 0x47eaf500), TOBN(0xfa3165c1, 0xd7b80893), - TOBN(0x005e8b54, 0xe160e552), TOBN(0xdc4972ba, 0x9019d11f), - TOBN(0x21a6972e, 0x0c9a4a7a), TOBN(0xa52c258f, 0x37840fd7), - TOBN(0xf8559ff4, 0xc1e99d81), TOBN(0x08e1a7d6, 0xa3c617c0), - TOBN(0xb398fd43, 0x248c6ba7), TOBN(0x6ffedd91, 0xd1283794), - TOBN(0x8a6a59d2, 0xd629d208), TOBN(0xa9d141d5, 0x3490530e), - TOBN(0x42f6fc18, 0x38505989), TOBN(0x09bf250d, 0x479d94ee), - TOBN(0x223ad3b1, 0xb3822790), TOBN(0x6c5926c0, 0x93b8971c), - TOBN(0x609efc7e, 0x75f7fa62), TOBN(0x45d66a6d, 0x1ec2d989), - TOBN(0x4422d663, 0x987d2792), TOBN(0x4a73caad, 0x3eb31d2b), - TOBN(0xf06c2ac1, 0xa32cb9e6), TOBN(0xd9445c5f, 0x91aeba84), - TOBN(0x6af7a1d5, 0xaf71013f), TOBN(0xe68216e5, 0x0bedc946), - TOBN(0xf4cba30b, 0xd27370a0), TOBN(0x7981afbf, 0x870421cc), - TOBN(0x02496a67, 0x9449f0e1), TOBN(0x86cfc4be, 0x0a47edae), - TOBN(0x3073c936, 0xb1feca22), TOBN(0xf5694612, 0x03f8f8fb), - TOBN(0xd063b723, 0x901515ea), TOBN(0x4c6c77a5, 0x749cf038), - TOBN(0x6361e360, 0xab9e5059), TOBN(0x596cf171, 0xa76a37c0), - TOBN(0x800f53fa, 0x6530ae7a), TOBN(0x0f5e631e, 0x0792a7a6), - TOBN(0x5cc29c24, 0xefdb81c9), TOBN(0xa269e868, 0x3f9c40ba), - TOBN(0xec14f9e1, 0x2cb7191e), TOBN(0x78ea1bd8, 0xe5b08ea6), - TOBN(0x3c65aa9b, 0x46332bb9), TOBN(0x84cc22b3, 0xbf80ce25), - TOBN(0x0098e9e9, 0xd49d5bf1), TOBN(0xcd4ec1c6, 0x19087da4), - TOBN(0x3c9d07c5, 0xaef6e357), TOBN(0x839a0268, 0x9f8f64b8), - TOBN(0xc5e9eb62, 0xc6d8607f), TOBN(0x759689f5, 0x6aa995e4), - TOBN(0x70464669, 0xbbb48317), TOBN(0x921474bf, 0xe402417d), - TOBN(0xcabe135b, 0x2a354c8c), TOBN(0xd51e52d2, 0x812fa4b5), - TOBN(0xec741096, 0x53311fe8), TOBN(0x4f774535, 0xb864514b), - TOBN(0xbcadd671, 0x5bde48f8), TOBN(0xc9703873, 0x2189bc7d), - TOBN(0x5d45299e, 0xc709ee8a), TOBN(0xd1287ee2, 0x845aaff8), - TOBN(0x7d1f8874, 0xdb1dbf1f), TOBN(0xea46588b, 0x990c88d6), - TOBN(0x60ba649a, 0x84368313), TOBN(0xd5fdcbce, 0x60d543ae), - TOBN(0x90b46d43, 0x810d5ab0), TOBN(0x6739d8f9, 0x04d7e5cc), - TOBN(0x021c1a58, 0x0d337c33), TOBN(0x00a61162, 0x68e67c40), - TOBN(0x95ef413b, 0x379f0a1f), TOBN(0xfe126605, 0xe9e2ab95), - TOBN(0x67578b85, 0x2f5f199c), TOBN(0xf5c00329, 0x2cb84913), - TOBN(0xf7956430, 0x37577dd8), TOBN(0x83b82af4, 0x29c5fe88), - TOBN(0x9c1bea26, 0xcdbdc132), TOBN(0x589fa086, 0x9c04339e), - TOBN(0x033e9538, 0xb13799df), TOBN(0x85fa8b21, 0xd295d034), - TOBN(0xdf17f73f, 0xbd9ddcca), TOBN(0xf32bd122, 0xddb66334), - TOBN(0x55ef88a7, 0x858b044c), TOBN(0x1f0d69c2, 0x5aa9e397), - TOBN(0x55fd9cc3, 0x40d85559), TOBN(0xc774df72, 0x7785ddb2), - TOBN(0x5dcce9f6, 0xd3bd2e1c), TOBN(0xeb30da20, 0xa85dfed0), - TOBN(0x5ed7f5bb, 0xd3ed09c4), TOBN(0x7d42a35c, 0x82a9c1bd), - TOBN(0xcf3de995, 0x9890272d), TOBN(0x75f3432a, 0x3e713a10), - TOBN(0x5e13479f, 0xe28227b8), TOBN(0xb8561ea9, 0xfefacdc8), - TOBN(0xa6a297a0, 0x8332aafd), TOBN(0x9b0d8bb5, 0x73809b62), - TOBN(0xd2fa1cfd, 0x0c63036f), TOBN(0x7a16eb55, 0xbd64bda8), - TOBN(0x3f5cf5f6, 0x78e62ddc), TOBN(0x2267c454, 0x07fd752b), - TOBN(0x5e361b6b, 0x5e437bbe), TOBN(0x95c59501, 0x8354e075), - TOBN(0xec725f85, 0xf2b254d9), TOBN(0x844b617d, 0x2cb52b4e), - TOBN(0xed8554f5, 0xcf425fb5), TOBN(0xab67703e, 0x2af9f312), - TOBN(0x4cc34ec1, 0x3cf48283), TOBN(0xb09daa25, 0x9c8a705e), - TOBN(0xd1e9d0d0, 0x5b7d4f84), TOBN(0x4df6ef64, 0xdb38929d), - TOBN(0xe16b0763, 0xaa21ba46), TOBN(0xc6b1d178, 0xa293f8fb), - TOBN(0x0ff5b602, 0xd520aabf), TOBN(0x94d671bd, 0xc339397a), - TOBN(0x7c7d98cf, 0x4f5792fa), TOBN(0x7c5e0d67, 0x11215261), - TOBN(0x9b19a631, 0xa7c5a6d4), TOBN(0xc8511a62, 0x7a45274d), - TOBN(0x0c16621c, 0xa5a60d99), TOBN(0xf7fbab88, 0xcf5e48cb), - TOBN(0xab1e6ca2, 0xf7ddee08), TOBN(0x83bd08ce, 0xe7867f3c), - TOBN(0xf7e48e8a, 0x2ac13e27), TOBN(0x4494f6df, 0x4eb1a9f5), - TOBN(0xedbf84eb, 0x981f0a62), TOBN(0x49badc32, 0x536438f0), - TOBN(0x50bea541, 0x004f7571), TOBN(0xbac67d10, 0xdf1c94ee), - TOBN(0x253d73a1, 0xb727bc31), TOBN(0xb3d01cf2, 0x30686e28), - TOBN(0x51b77b1b, 0x55fd0b8b), TOBN(0xa099d183, 0xfeec3173), - TOBN(0x202b1fb7, 0x670e72b7), TOBN(0xadc88b33, 0xa8e1635f), - TOBN(0x34e8216a, 0xf989d905), TOBN(0xc2e68d20, 0x29b58d01), - TOBN(0x11f81c92, 0x6fe55a93), TOBN(0x15f1462a, 0x8f296f40), - TOBN(0x1915d375, 0xea3d62f2), TOBN(0xa17765a3, 0x01c8977d), - TOBN(0x7559710a, 0xe47b26f6), TOBN(0xe0bd29c8, 0x535077a5), - TOBN(0x615f976d, 0x08d84858), TOBN(0x370dfe85, 0x69ced5c1), - TOBN(0xbbc7503c, 0xa734fa56), TOBN(0xfbb9f1ec, 0x91ac4574), - TOBN(0x95d7ec53, 0x060dd7ef), TOBN(0xeef2dacd, 0x6e657979), - TOBN(0x54511af3, 0xe2a08235), TOBN(0x1e324aa4, 0x1f4aea3d), - TOBN(0x550e7e71, 0xe6e67671), TOBN(0xbccd5190, 0xbf52faf7), - TOBN(0xf880d316, 0x223cc62a), TOBN(0x0d402c7e, 0x2b32eb5d), - TOBN(0xa40bc039, 0x306a5a3b), TOBN(0x4e0a41fd, 0x96783a1b), - TOBN(0xa1e8d39a, 0x0253cdd4), TOBN(0x6480be26, 0xc7388638), - TOBN(0xee365e1d, 0x2285f382), TOBN(0x188d8d8f, 0xec0b5c36), - TOBN(0x34ef1a48, 0x1f0f4d82), TOBN(0x1a8f43e1, 0xa487d29a), - TOBN(0x8168226d, 0x77aefb3a), TOBN(0xf69a751e, 0x1e72c253), - TOBN(0x8e04359a, 0xe9594df1), TOBN(0x475ffd7d, 0xd14c0467), - TOBN(0xb5a2c2b1, 0x3844e95c), TOBN(0x85caf647, 0xdd12ef94), - TOBN(0x1ecd2a9f, 0xf1063d00), TOBN(0x1dd2e229, 0x23843311), - TOBN(0x38f0e09d, 0x73d17244), TOBN(0x3ede7746, 0x8fc653f1), - TOBN(0xae4459f5, 0xdc20e21c), TOBN(0x00db2ffa, 0x6a8599ea), - TOBN(0x11682c39, 0x30cfd905), TOBN(0x4934d074, 0xa5c112a6), - TOBN(0xbdf063c5, 0x568bfe95), TOBN(0x779a440a, 0x016c441a), - TOBN(0x0c23f218, 0x97d6fbdc), TOBN(0xd3a5cd87, 0xe0776aac), - TOBN(0xcee37f72, 0xd712e8db), TOBN(0xfb28c70d, 0x26f74e8d), - TOBN(0xffe0c728, 0xb61301a0), TOBN(0xa6282168, 0xd3724354), - TOBN(0x7ff4cb00, 0x768ffedc), TOBN(0xc51b3088, 0x03b02de9), - TOBN(0xa5a8147c, 0x3902dda5), TOBN(0x35d2f706, 0xfe6973b4), - TOBN(0x5ac2efcf, 0xc257457e), TOBN(0x933f48d4, 0x8700611b), - TOBN(0xc365af88, 0x4912beb2), TOBN(0x7f5a4de6, 0x162edf94), - TOBN(0xc646ba7c, 0x0c32f34b), TOBN(0x632c6af3, 0xb2091074), - TOBN(0x58d4f2e3, 0x753e43a9), TOBN(0x70e1d217, 0x24d4e23f), - TOBN(0xb24bf729, 0xafede6a6), TOBN(0x7f4a94d8, 0x710c8b60), - TOBN(0xaad90a96, 0x8d4faa6a), TOBN(0xd9ed0b32, 0xb066b690), - TOBN(0x52fcd37b, 0x78b6dbfd), TOBN(0x0b64615e, 0x8bd2b431), - TOBN(0x228e2048, 0xcfb9fad5), TOBN(0xbeaa386d, 0x240b76bd), - TOBN(0x2d6681c8, 0x90dad7bc), TOBN(0x3e553fc3, 0x06d38f5e), - TOBN(0xf27cdb9b, 0x9d5f9750), TOBN(0x3e85c52a, 0xd28c5b0e), - TOBN(0x190795af, 0x5247c39b), TOBN(0x547831eb, 0xbddd6828), - TOBN(0xf327a227, 0x4a82f424), TOBN(0x36919c78, 0x7e47f89d), - TOBN(0xe4783919, 0x43c7392c), TOBN(0xf101b9aa, 0x2316fefe), - TOBN(0xbcdc9e9c, 0x1c5009d2), TOBN(0xfb55ea13, 0x9cd18345), - TOBN(0xf5b5e231, 0xa3ce77c7), TOBN(0xde6b4527, 0xd2f2cb3d), - TOBN(0x10f6a333, 0x9bb26f5f), TOBN(0x1e85db8e, 0x044d85b6), - TOBN(0xc3697a08, 0x94197e54), TOBN(0x65e18cc0, 0xa7cb4ea8), - TOBN(0xa38c4f50, 0xa471fe6e), TOBN(0xf031747a, 0x2f13439c), - TOBN(0x53c4a6ba, 0xc007318b), TOBN(0xa8da3ee5, 0x1deccb3d), - TOBN(0x0555b31c, 0x558216b1), TOBN(0x90c7810c, 0x2f79e6c2), - TOBN(0x9b669f4d, 0xfe8eed3c), TOBN(0x70398ec8, 0xe0fac126), - TOBN(0xa96a449e, 0xf701b235), TOBN(0x0ceecdb3, 0xeb94f395), - TOBN(0x285fc368, 0xd0cb7431), TOBN(0x0d37bb52, 0x16a18c64), - TOBN(0x05110d38, 0xb880d2dd), TOBN(0xa60f177b, 0x65930d57), - TOBN(0x7da34a67, 0xf36235f5), TOBN(0x47f5e17c, 0x183816b9), - TOBN(0xc7664b57, 0xdb394af4), TOBN(0x39ba215d, 0x7036f789), - TOBN(0x46d2ca0e, 0x2f27b472), TOBN(0xc42647ee, 0xf73a84b7), - TOBN(0x44bc7545, 0x64488f1d), TOBN(0xaa922708, 0xf4cf85d5), - TOBN(0x721a01d5, 0x53e4df63), TOBN(0x649c0c51, 0x5db46ced), - TOBN(0x6bf0d64e, 0x3cffcb6c), TOBN(0xe3bf93fe, 0x50f71d96), - TOBN(0x75044558, 0xbcc194a0), TOBN(0x16ae3372, 0x6afdc554), - TOBN(0xbfc01adf, 0x5ca48f3f), TOBN(0x64352f06, 0xe22a9b84), - TOBN(0xcee54da1, 0xc1099e4a), TOBN(0xbbda54e8, 0xfa1b89c0), - TOBN(0x166a3df5, 0x6f6e55fb), TOBN(0x1ca44a24, 0x20176f88), - TOBN(0x936afd88, 0xdfb7b5ff), TOBN(0xe34c2437, 0x8611d4a0), - TOBN(0x7effbb75, 0x86142103), TOBN(0x6704ba1b, 0x1f34fc4d), - TOBN(0x7c2a468f, 0x10c1b122), TOBN(0x36b3a610, 0x8c6aace9), - TOBN(0xabfcc0a7, 0x75a0d050), TOBN(0x066f9197, 0x3ce33e32), - TOBN(0xce905ef4, 0x29fe09be), TOBN(0x89ee25ba, 0xa8376351), - TOBN(0x2a3ede22, 0xfd29dc76), TOBN(0x7fd32ed9, 0x36f17260), - TOBN(0x0cadcf68, 0x284b4126), TOBN(0x63422f08, 0xa7951fc8), - TOBN(0x562b24f4, 0x0807e199), TOBN(0xfe9ce5d1, 0x22ad4490), - TOBN(0xc2f51b10, 0x0db2b1b4), TOBN(0xeb3613ff, 0xe4541d0d), - TOBN(0xbd2c4a05, 0x2680813b), TOBN(0x527aa55d, 0x561b08d6), - TOBN(0xa9f8a40e, 0xa7205558), TOBN(0xe3eea56f, 0x243d0bec), - TOBN(0x7b853817, 0xa0ff58b3), TOBN(0xb67d3f65, 0x1a69e627), - TOBN(0x0b76bbb9, 0xa869b5d6), TOBN(0xa3afeb82, 0x546723ed), - TOBN(0x5f24416d, 0x3e554892), TOBN(0x8413b53d, 0x430e2a45), - TOBN(0x99c56aee, 0x9032a2a0), TOBN(0x09432bf6, 0xeec367b1), - TOBN(0x552850c6, 0xdaf0ecc1), TOBN(0x49ebce55, 0x5bc92048), - TOBN(0xdfb66ba6, 0x54811307), TOBN(0x1b84f797, 0x6f298597), - TOBN(0x79590481, 0x8d1d7a0d), TOBN(0xd9fabe03, 0x3a6fa556), - TOBN(0xa40f9c59, 0xba9e5d35), TOBN(0xcb1771c1, 0xf6247577), - TOBN(0x542a47ca, 0xe9a6312b), TOBN(0xa34b3560, 0x552dd8c5), - TOBN(0xfdf94de0, 0x0d794716), TOBN(0xd46124a9, 0x9c623094), - TOBN(0x56b7435d, 0x68afe8b4), TOBN(0x27f20540, 0x6c0d8ea1), - TOBN(0x12b77e14, 0x73186898), TOBN(0xdbc3dd46, 0x7479490f), - TOBN(0x951a9842, 0xc03b0c05), TOBN(0x8b1b3bb3, 0x7921bc96), - TOBN(0xa573b346, 0x2b202e0a), TOBN(0x77e4665d, 0x47254d56), - TOBN(0x08b70dfc, 0xd23e3984), TOBN(0xab86e8bc, 0xebd14236), - TOBN(0xaa3e07f8, 0x57114ba7), TOBN(0x5ac71689, 0xab0ef4f2), - TOBN(0x88fca384, 0x0139d9af), TOBN(0x72733f88, 0x76644af0), - TOBN(0xf122f72a, 0x65d74f4a), TOBN(0x13931577, 0xa5626c7a), - TOBN(0xd5b5d9eb, 0x70f8d5a4), TOBN(0x375adde7, 0xd7bbb228), - TOBN(0x31e88b86, 0x0c1c0b32), TOBN(0xd1f568c4, 0x173edbaa), - TOBN(0x1592fc83, 0x5459df02), TOBN(0x2beac0fb, 0x0fcd9a7e), - TOBN(0xb0a6fdb8, 0x1b473b0a), TOBN(0xe3224c6f, 0x0fe8fc48), - TOBN(0x680bd00e, 0xe87edf5b), TOBN(0x30385f02, 0x20e77cf5), - TOBN(0xe9ab98c0, 0x4d42d1b2), TOBN(0x72d191d2, 0xd3816d77), - TOBN(0x1564daca, 0x0917d9e5), TOBN(0x394eab59, 0x1f8fed7f), - TOBN(0xa209aa8d, 0x7fbb3896), TOBN(0x5564f3b9, 0xbe6ac98e), - TOBN(0xead21d05, 0xd73654ef), TOBN(0x68d1a9c4, 0x13d78d74), - TOBN(0x61e01708, 0x6d4973a0), TOBN(0x83da3500, 0x46e6d32a), - TOBN(0x6a3dfca4, 0x68ae0118), TOBN(0xa1b9a4c9, 0xd02da069), - TOBN(0x0b2ff9c7, 0xebab8302), TOBN(0x98af07c3, 0x944ba436), - TOBN(0x85997326, 0x995f0f9f), TOBN(0x467fade0, 0x71b58bc6), - TOBN(0x47e4495a, 0xbd625a2b), TOBN(0xfdd2d01d, 0x33c3b8cd), - TOBN(0x2c38ae28, 0xc693f9fa), TOBN(0x48622329, 0x348f7999), - TOBN(0x97bf738e, 0x2161f583), TOBN(0x15ee2fa7, 0x565e8cc9), - TOBN(0xa1a5c845, 0x5777e189), TOBN(0xcc10bee0, 0x456f2829), - TOBN(0x8ad95c56, 0xda762bd5), TOBN(0x152e2214, 0xe9d91da8), - TOBN(0x975b0e72, 0x7cb23c74), TOBN(0xfd5d7670, 0xa90c66df), - TOBN(0xb5b5b8ad, 0x225ffc53), TOBN(0xab6dff73, 0xfaded2ae), - TOBN(0xebd56781, 0x6f4cbe9d), TOBN(0x0ed8b249, 0x6a574bd7), - TOBN(0x41c246fe, 0x81a881fa), TOBN(0x91564805, 0xc3db9c70), - TOBN(0xd7c12b08, 0x5b862809), TOBN(0x1facd1f1, 0x55858d7b), - TOBN(0x7693747c, 0xaf09e92a), TOBN(0x3b69dcba, 0x189a425f), - TOBN(0x0be28e9f, 0x967365ef), TOBN(0x57300eb2, 0xe801f5c9), - TOBN(0x93b8ac6a, 0xd583352f), TOBN(0xa2cf1f89, 0xcd05b2b7), - TOBN(0x7c0c9b74, 0x4dcc40cc), TOBN(0xfee38c45, 0xada523fb), - TOBN(0xb49a4dec, 0x1099cc4d), TOBN(0x325c377f, 0x69f069c6), - TOBN(0xe12458ce, 0x476cc9ff), TOBN(0x580e0b6c, 0xc6d4cb63), - TOBN(0xd561c8b7, 0x9072289b), TOBN(0x0377f264, 0xa619e6da), - TOBN(0x26685362, 0x88e591a5), TOBN(0xa453a7bd, 0x7523ca2b), - TOBN(0x8a9536d2, 0xc1df4533), TOBN(0xc8e50f2f, 0xbe972f79), - TOBN(0xd433e50f, 0x6d3549cf), TOBN(0x6f33696f, 0xfacd665e), - TOBN(0x695bfdac, 0xce11fcb4), TOBN(0x810ee252, 0xaf7c9860), - TOBN(0x65450fe1, 0x7159bb2c), TOBN(0xf7dfbebe, 0x758b357b), - TOBN(0x2b057e74, 0xd69fea72), TOBN(0xd485717a, 0x92731745),} - , - {TOBN(0x896c42e8, 0xee36860c), TOBN(0xdaf04dfd, 0x4113c22d), - TOBN(0x1adbb7b7, 0x44104213), TOBN(0xe5fd5fa1, 0x1fd394ea), - TOBN(0x68235d94, 0x1a4e0551), TOBN(0x6772cfbe, 0x18d10151), - 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TOBN(0x3ac1dc6d, 0x5b7bd293), TOBN(0x3b592cff, 0x7022323d), - TOBN(0xba0deb98, 0x9c0a3e76), TOBN(0x18e78e9f, 0x4b197acb), - TOBN(0x211cde10, 0x296c36ef), TOBN(0x7ee89672, 0x82c4da77), - TOBN(0xb617d270, 0xa57836da), TOBN(0xf0cd9c31, 0x9cb7560b), - TOBN(0x01fdcbf7, 0xe455fe90), TOBN(0x3fb53cbb, 0x7e7334f3), - TOBN(0x781e2ea4, 0x4e7de4ec), TOBN(0x8adab3ad, 0x0b384fd0), - TOBN(0x129eee2f, 0x53d64829), TOBN(0x7a471e17, 0xa261492b), - TOBN(0xe4f9adb9, 0xe4cb4a2c), TOBN(0x3d359f6f, 0x97ba2c2d), - TOBN(0x346c6786, 0x0aacd697), TOBN(0x92b444c3, 0x75c2f8a8), - TOBN(0xc79fa117, 0xd85df44e), TOBN(0x56782372, 0x398ddf31), - TOBN(0x60e690f2, 0xbbbab3b8), TOBN(0x4851f8ae, 0x8b04816b), - TOBN(0xc72046ab, 0x9c92e4d2), TOBN(0x518c74a1, 0x7cf3136b), - TOBN(0xff4eb50a, 0xf9877d4c), TOBN(0x14578d90, 0xa919cabb), - TOBN(0x8218f8c4, 0xac5eb2b6), TOBN(0xa3ccc547, 0x542016e4), - TOBN(0x025bf48e, 0x327f8349), TOBN(0xf3e97346, 0xf43cb641), - TOBN(0xdc2bafdf, 0x500f1085), TOBN(0x57167876, 0x2f063055), - TOBN(0x5bd914b9, 0x411925a6), TOBN(0x7c078d48, 0xa1123de5), - TOBN(0xee6bf835, 0x182b165d), TOBN(0xb11b5e5b, 0xba519727), - TOBN(0xe33ea76c, 0x1eea7b85), TOBN(0x2352b461, 0x92d4f85e), - TOBN(0xf101d334, 0xafe115bb), TOBN(0xfabc1294, 0x889175a3), - TOBN(0x7f6bcdc0, 0x5233f925), TOBN(0xe0a802db, 0xe77fec55), - TOBN(0xbdb47b75, 0x8069b659), TOBN(0x1c5e12de, 0xf98fbd74), - TOBN(0x869c58c6, 0x4b8457ee), TOBN(0xa5360f69, 0x4f7ea9f7), - TOBN(0xe576c09f, 0xf460b38f), TOBN(0x6b70d548, 0x22b7fb36), - TOBN(0x3fd237f1, 0x3bfae315), TOBN(0x33797852, 0xcbdff369), - TOBN(0x97df25f5, 0x25b516f9), TOBN(0x46f388f2, 0xba38ad2d), - TOBN(0x656c4658, 0x89d8ddbb), TOBN(0x8830b26e, 0x70f38ee8), - TOBN(0x4320fd5c, 0xde1212b0), TOBN(0xc34f30cf, 0xe4a2edb2), - TOBN(0xabb131a3, 0x56ab64b8), TOBN(0x7f77f0cc, 0xd99c5d26), - TOBN(0x66856a37, 0xbf981d94), TOBN(0x19e76d09, 0x738bd76e), - TOBN(0xe76c8ac3, 0x96238f39), TOBN(0xc0a482be, 0xa830b366), - TOBN(0xb7b8eaff, 0x0b4eb499), TOBN(0x8ecd83bc, 0x4bfb4865), - TOBN(0x971b2cb7, 0xa2f3776f), TOBN(0xb42176a4, 0xf4b88adf), - TOBN(0xb9617df5, 0xbe1fa446), TOBN(0x8b32d508, 0xcd031bd2), - TOBN(0x1c6bd47d, 0x53b618c0), TOBN(0xc424f46c, 0x6a227923), - TOBN(0x7303ffde, 0xdd92d964), TOBN(0xe9712878, 0x71b5abf2), - TOBN(0x8f48a632, 0xf815561d), TOBN(0x85f48ff5, 0xd3c055d1), - TOBN(0x222a1427, 0x7525684f), TOBN(0xd0d841a0, 0x67360cc3), - TOBN(0x4245a926, 0x0b9267c6), TOBN(0xc78913f1, 0xcf07f863), - TOBN(0xaa844c8e, 0x4d0d9e24), TOBN(0xa42ad522, 0x3d5f9017), - TOBN(0xbd371749, 0xa2c989d5), TOBN(0x928292df, 0xe1f5e78e), - TOBN(0x493b383e, 0x0a1ea6da), TOBN(0x5136fd8d, 0x13aee529), - TOBN(0x860c44b1, 0xf2c34a99), TOBN(0x3b00aca4, 0xbf5855ac), - TOBN(0xabf6aaa0, 0xfaaf37be), TOBN(0x65f43682, 0x2a53ec08), - TOBN(0x1d9a5801, 0xa11b12e1), TOBN(0x78a7ab2c, 0xe20ed475), - TOBN(0x0de1067e, 0x9a41e0d5), TOBN(0x30473f5f, 0x305023ea), - TOBN(0xdd3ae09d, 0x169c7d97), TOBN(0x5cd5baa4, 0xcfaef9cd), - TOBN(0x5cd7440b, 0x65a44803), TOBN(0xdc13966a, 0x47f364de), - TOBN(0x077b2be8, 0x2b8357c1), TOBN(0x0cb1b4c5, 0xe9d57c2a), - TOBN(0x7a4ceb32, 0x05ff363e), TOBN(0xf310fa4d, 0xca35a9ef), - TOBN(0xdbb7b352, 0xf97f68c6), TOBN(0x0c773b50, 0x0b02cf58), - 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TOBN(0xc06d8ff6, 0xe46f2a79), TOBN(0x08b5dead, 0xe9f8131d), - TOBN(0x02519a59, 0xabb4ce7c), TOBN(0xc4f710bc, 0xb42aec3e), - TOBN(0x3d77b057, 0x78bde41a), TOBN(0x6474bf80, 0xb4186b5a), - TOBN(0x048b3f67, 0x88c65741), TOBN(0xc64519de, 0x03c7c154), - TOBN(0xdf073846, 0x0edfcc4f), TOBN(0x319aa737, 0x48f1aa6b), - TOBN(0x8b9f8a02, 0xca909f77), TOBN(0x90258139, 0x7580bfef), - TOBN(0xd8bfd3ca, 0xc0c22719), TOBN(0xc60209e4, 0xc9ca151e), - TOBN(0x7a744ab5, 0xd9a1a69c), TOBN(0x6de5048b, 0x14937f8f), - TOBN(0x171938d8, 0xe115ac04), TOBN(0x7df70940, 0x1c6b16d2), - TOBN(0xa6aeb663, 0x7f8e94e7), TOBN(0xc130388e, 0x2a2cf094), - TOBN(0x1850be84, 0x77f54e6e), TOBN(0x9f258a72, 0x65d60fe5), - TOBN(0xff7ff0c0, 0x6c9146d6), TOBN(0x039aaf90, 0xe63a830b), - TOBN(0x38f27a73, 0x9460342f), TOBN(0x4703148c, 0x3f795f8a), - TOBN(0x1bb5467b, 0x9681a97e), TOBN(0x00931ba5, 0xecaeb594), - TOBN(0xcdb6719d, 0x786f337c), TOBN(0xd9c01cd2, 0xe704397d), - TOBN(0x0f4a3f20, 0x555c2fef), TOBN(0x00452509, 0x7c0af223), - TOBN(0x54a58047, 0x84db8e76), TOBN(0x3bacf1aa, 0x93c8aa06), - TOBN(0x11ca957c, 0xf7919422), TOBN(0x50641053, 0x78cdaa40), - TOBN(0x7a303874, 0x9f7144ae), TOBN(0x170c963f, 0x43d4acfd), - TOBN(0x5e148149, 0x58ddd3ef), TOBN(0xa7bde582, 0x9e72dba8), - TOBN(0x0769da8b, 0x6fa68750), TOBN(0xfa64e532, 0x572e0249), - TOBN(0xfcaadf9d, 0x2619ad31), TOBN(0x87882daa, 0xa7b349cd), - TOBN(0x9f6eb731, 0x6c67a775), TOBN(0xcb10471a, 0xefc5d0b1), - TOBN(0xb433750c, 0xe1b806b2), TOBN(0x19c5714d, 0x57b1ae7e), - TOBN(0xc0dc8b7b, 0xed03fd3f), TOBN(0xdd03344f, 0x31bc194e), - TOBN(0xa66c52a7, 0x8c6320b5), TOBN(0x8bc82ce3, 0xd0b6fd93), - TOBN(0xf8e13501, 0xb35f1341), TOBN(0xe53156dd, 0x25a43e42), - TOBN(0xd3adf27e, 0x4daeb85c), TOBN(0xb81d8379, 0xbbeddeb5), - TOBN(0x1b0b546e, 0x2e435867), TOBN(0x9020eb94, 0xeba5dd60), - TOBN(0x37d91161, 0x8210cb9d), TOBN(0x4c596b31, 0x5c91f1cf), - TOBN(0xb228a90f, 0x0e0b040d), TOBN(0xbaf02d82, 0x45ff897f), - TOBN(0x2aac79e6, 0x00fa6122), TOBN(0x24828817, 0x8e36f557), - TOBN(0xb9521d31, 0x113ec356), TOBN(0x9e48861e, 0x15eff1f8), - TOBN(0x2aa1d412, 0xe0d41715), TOBN(0x71f86203, 0x53f131b8), - TOBN(0xf60da8da, 0x3fd19408), TOBN(0x4aa716dc, 0x278d9d99), - TOBN(0x394531f7, 0xa8c51c90), TOBN(0xb560b0e8, 0xf59db51c), - TOBN(0xa28fc992, 0xfa34bdad), TOBN(0xf024fa14, 0x9cd4f8bd), - TOBN(0x5cf530f7, 0x23a9d0d3), TOBN(0x615ca193, 0xe28c9b56), - TOBN(0x6d2a483d, 0x6f73c51e), TOBN(0xa4cb2412, 0xea0dc2dd), - TOBN(0x50663c41, 0x1eb917ff), TOBN(0x3d3a74cf, 0xeade299e), - TOBN(0x29b3990f, 0x4a7a9202), TOBN(0xa9bccf59, 0xa7b15c3d), - TOBN(0x66a3ccdc, 0xa5df9208), TOBN(0x48027c14, 0x43f2f929), - TOBN(0xd385377c, 0x40b557f0), TOBN(0xe001c366, 0xcd684660), - TOBN(0x1b18ed6b, 0xe2183a27), TOBN(0x879738d8, 0x63210329), - TOBN(0xa687c74b, 0xbda94882), TOBN(0xd1bbcc48, 0xa684b299), - TOBN(0xaf6f1112, 0x863b3724), TOBN(0x6943d1b4, 0x2c8ce9f8), - TOBN(0xe044a3bb, 0x098cafb4), TOBN(0x27ed2310, 0x60d48caf), - TOBN(0x542b5675, 0x3a31b84d), TOBN(0xcbf3dd50, 0xfcddbed7), - TOBN(0x25031f16, 0x41b1d830), TOBN(0xa7ec851d, 0xcb0c1e27), - TOBN(0xac1c8fe0, 0xb5ae75db), TOBN(0xb24c7557, 0x08c52120), - TOBN(0x57f811dc, 0x1d4636c3), TOBN(0xf8436526, 0x681a9939), - 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TOBN(0x6ec1d939, 0x7e053a1b), TOBN(0xee2be5c7, 0x66daf707), - TOBN(0x80ba1e14, 0x810ac7ab), TOBN(0xdd2ae778, 0xf530f174), - TOBN(0x0435d97a, 0x205b9d8b), TOBN(0x6eb8f064, 0x056756d4), - TOBN(0xd5e88a8b, 0xb6f8210e), TOBN(0x070ef12d, 0xec9fd9ea), - TOBN(0x4d849505, 0x3bcc876a), TOBN(0x12a75338, 0xa7404ce3), - TOBN(0xd22b49e1, 0xb8a1db5e), TOBN(0xec1f2051, 0x14bfa5ad), - TOBN(0xadbaeb79, 0xb6828f36), TOBN(0x9d7a0258, 0x01bd5b9e), - TOBN(0xeda01e0d, 0x1e844b0c), TOBN(0x4b625175, 0x887edfc9), - TOBN(0x14109fdd, 0x9669b621), TOBN(0x88a2ca56, 0xf6f87b98), - TOBN(0xfe2eb788, 0x170df6bc), TOBN(0x0cea06f4, 0xffa473f9), - TOBN(0x43ed81b5, 0xc4e83d33), TOBN(0xd9f35879, 0x5efd488b), - TOBN(0x164a620f, 0x9deb4d0f), TOBN(0xc6927bdb, 0xac6a7394), - TOBN(0x45c28df7, 0x9f9e0f03), TOBN(0x2868661e, 0xfcd7e1a9), - TOBN(0x7cf4e8d0, 0xffa348f1), TOBN(0x6bd4c284, 0x398538e0), - TOBN(0x2618a091, 0x289a8619), TOBN(0xef796e60, 0x6671b173), - TOBN(0x664e46e5, 0x9090c632), TOBN(0xa38062d4, 0x1e66f8fb), - TOBN(0x6c744a20, 0x0573274e), TOBN(0xd07b67e4, 0xa9271394), - TOBN(0x391223b2, 0x6bdc0e20), TOBN(0xbe2d93f1, 0xeb0a05a7), - TOBN(0xf23e2e53, 0x3f36d141), TOBN(0xe84bb3d4, 0x4dfca442), - TOBN(0xb804a48d, 0x6b7c023a), TOBN(0x1e16a8fa, 0x76431c3b), - TOBN(0x1b5452ad, 0xddd472e0), TOBN(0x7d405ee7, 0x0d1ee127), - TOBN(0x50fc6f1d, 0xffa27599), TOBN(0x351ac53c, 0xbf391b35), - TOBN(0x7efa14b8, 0x4444896b), TOBN(0x64974d2f, 0xf94027fb), - TOBN(0xefdcd0e8, 0xde84487d), TOBN(0x8c45b260, 0x2b48989b), - TOBN(0xa8fcbbc2, 0xd8463487), TOBN(0xd1b2b3f7, 0x3fbc476c), - TOBN(0x21d005b7, 0xc8f443c0), TOBN(0x518f2e67, 0x40c0139c), - TOBN(0x56036e8c, 0x06d75fc1), TOBN(0x2dcf7bb7, 0x3249a89f), - TOBN(0x81dd1d3d, 0xe245e7dd), TOBN(0xf578dc4b, 0xebd6e2a7), - TOBN(0x4c028903, 0xdf2ce7a0), TOBN(0xaee36288, 0x9c39afac), - TOBN(0xdc847c31, 0x146404ab), TOBN(0x6304c0d8, 0xa4e97818), - TOBN(0xae51dca2, 0xa91f6791), TOBN(0x2abe4190, 0x9baa9efc), - TOBN(0xd9d2e2f4, 0x559c7ac1), TOBN(0xe82f4b51, 0xfc9f773a), - TOBN(0xa7713027, 0x4073e81c), TOBN(0xc0276fac, 0xfbb596fc), - TOBN(0x1d819fc9, 0xa684f70c), TOBN(0x29b47fdd, 0xc9f7b1e0), - TOBN(0x358de103, 0x459b1940), TOBN(0xec881c59, 0x5b013e93), - TOBN(0x51574c93, 0x49532ad3), TOBN(0x2db1d445, 0xb37b46de), - TOBN(0xc6445b87, 0xdf239fd8), TOBN(0xc718af75, 0x151d24ee), - TOBN(0xaea1c4a4, 0xf43c6259), TOBN(0x40c0e5d7, 0x70be02f7), - TOBN(0x6a4590f4, 0x721b33f2), TOBN(0x2124f1fb, 0xfedf04ea), - TOBN(0xf8e53cde, 0x9745efe7), TOBN(0xe7e10432, 0x65f046d9), - TOBN(0xc3fca28e, 0xe4d0c7e6), TOBN(0x847e339a, 0x87253b1b), - TOBN(0x9b595348, 0x3743e643), TOBN(0xcb6a0a0b, 0x4fd12fc5), - TOBN(0xfb6836c3, 0x27d02dcc), TOBN(0x5ad00982, 0x7a68bcc2), - TOBN(0x1b24b44c, 0x005e912d), TOBN(0xcc83d20f, 0x811fdcfe), - TOBN(0x36527ec1, 0x666fba0c), TOBN(0x69948197, 0x14754635), - TOBN(0xfcdcb1a8, 0x556da9c2), TOBN(0xa5934267, 0x81a732b2), - TOBN(0xec1214ed, 0xa714181d), TOBN(0x609ac13b, 0x6067b341), - TOBN(0xff4b4c97, 0xa545df1f), TOBN(0xa1240501, 0x34d2076b), - TOBN(0x6efa0c23, 0x1409ca97), TOBN(0x254cc1a8, 0x20638c43), - TOBN(0xd4e363af, 0xdcfb46cd), TOBN(0x62c2adc3, 0x03942a27), - TOBN(0xc67b9df0, 0x56e46483), TOBN(0xa55abb20, 0x63736356), - TOBN(0xab93c098, 0xc551bc52), TOBN(0x382b49f9, 0xb15fe64b), - TOBN(0x9ec221ad, 0x4dff8d47), TOBN(0x79caf615, 0x437df4d6), - TOBN(0x5f13dc64, 0xbb456509), TOBN(0xe4c589d9, 0x191f0714), - TOBN(0x27b6a8ab, 0x3fd40e09), TOBN(0xe455842e, 0x77313ea9), - TOBN(0x8b51d1e2, 0x1f55988b), TOBN(0x5716dd73, 0x062bbbfc), - TOBN(0x633c11e5, 0x4e8bf3de), TOBN(0x9a0e77b6, 0x1b85be3b), - TOBN(0x56510729, 0x0911cca6), TOBN(0x27e76495, 0xefa6590f), - TOBN(0xe4ac8b33, 0x070d3aab), TOBN(0x2643672b, 0x9a2cd5e5), - TOBN(0x52eff79b, 0x1cfc9173), TOBN(0x665ca49b, 0x90a7c13f), - TOBN(0x5a8dda59, 0xb3efb998), TOBN(0x8a5b922d, 0x052f1341), - TOBN(0xae9ebbab, 0x3cf9a530), TOBN(0x35986e7b, 0xf56da4d7), - TOBN(0x3a636b5c, 0xff3513cc), TOBN(0xbb0cf8ba, 0x3198f7dd), - TOBN(0xb8d40522, 0x41f16f86), TOBN(0x760575d8, 0xde13a7bf), - TOBN(0x36f74e16, 0x9f7aa181), TOBN(0x163a3ecf, 0xf509ed1c), - TOBN(0x6aead61f, 0x3c40a491), TOBN(0x158c95fc, 0xdfe8fcaa), - TOBN(0xa3991b6e, 0x13cda46f), TOBN(0x79482415, 0x342faed0), - TOBN(0xf3ba5bde, 0x666b5970), TOBN(0x1d52e6bc, 0xb26ab6dd), - TOBN(0x768ba1e7, 0x8608dd3d), TOBN(0x4930db2a, 0xea076586), - TOBN(0xd9575714, 0xe7dc1afa), TOBN(0x1fc7bf7d, 0xf7c58817), - TOBN(0x6b47accd, 0xd9eee96c), TOBN(0x0ca277fb, 0xe58cec37), - TOBN(0x113fe413, 0xe702c42a), TOBN(0xdd1764ee, 0xc47cbe51), - TOBN(0x041e7cde, 0x7b3ed739), TOBN(0x50cb7459, 0x5ce9e1c0), - TOBN(0x35568513, 0x2925b212), TOBN(0x7cff95c4, 0x001b081c), - TOBN(0x63ee4cbd, 0x8088b454), TOBN(0xdb7f32f7, 0x9a9e0c8a), - TOBN(0xb377d418, 0x6b2447cb), TOBN(0xe3e982aa, 0xd370219b), - TOBN(0x06ccc1e4, 0xc2a2a593), TOBN(0x72c36865, 0x0773f24f), - TOBN(0xa13b4da7, 0x95859423), TOBN(0x8bbf1d33, 0x75040c8f), - TOBN(0x726f0973, 0xda50c991), TOBN(0x48afcd5b, 0x822d6ee2), - TOBN(0xe5fc718b, 0x20fd7771), TOBN(0xb9e8e77d, 0xfd0807a1), - TOBN(0x7f5e0f44, 0x99a7703d), TOBN(0x6972930e, 0x618e36f3), - TOBN(0x2b7c77b8, 0x23807bbe), TOBN(0xe5b82405, 0xcb27ff50), - TOBN(0xba8b8be3, 0xbd379062), TOBN(0xd64b7a1d, 0x2dce4a92), - TOBN(0x040a73c5, 0xb2952e37), TOBN(0x0a9e252e, 0xd438aeca), - TOBN(0xdd43956b, 0xc39d3bcb), TOBN(0x1a31ca00, 0xb32b2d63), - TOBN(0xd67133b8, 0x5c417a18), TOBN(0xd08e4790, 0x2ef442c8), - TOBN(0x98cb1ae9, 0x255c0980), TOBN(0x4bd86381, 0x2b4a739f), - TOBN(0x5a5c31e1, 0x1e4a45a1), TOBN(0x1e5d55fe, 0x9cb0db2f), - TOBN(0x74661b06, 0x8ff5cc29), TOBN(0x026b389f, 0x0eb8a4f4), - TOBN(0x536b21a4, 0x58848c24), TOBN(0x2e5bf8ec, 0x81dc72b0), - TOBN(0x03c187d0, 0xad886aac), TOBN(0x5c16878a, 0xb771b645), - TOBN(0xb07dfc6f, 0xc74045ab), TOBN(0x2c6360bf, 0x7800caed), - TOBN(0x24295bb5, 0xb9c972a3), TOBN(0xc9e6f88e, 0x7c9a6dba), - TOBN(0x90ffbf24, 0x92a79aa6), TOBN(0xde29d50a, 0x41c26ac2), - TOBN(0x9f0af483, 0xd309cbe6), TOBN(0x5b020d8a, 0xe0bced4f), - TOBN(0x606e986d, 0xb38023e3), TOBN(0xad8f2c9d, 0x1abc6933), - TOBN(0x19292e1d, 0xe7400e93), TOBN(0xfe3e18a9, 0x52be5e4d), - TOBN(0xe8e9771d, 0x2e0680bf), TOBN(0x8c5bec98, 0xc54db063), - TOBN(0x2af9662a, 0x74a55d1f), TOBN(0xe3fbf28f, 0x046f66d8), - TOBN(0xa3a72ab4, 0xd4dc4794), TOBN(0x09779f45, 0x5c7c2dd8), - TOBN(0xd893bdaf, 0xc3d19d8d), TOBN(0xd5a75094, 0x57d6a6df), - TOBN(0x8cf8fef9, 0x952e6255), TOBN(0x3da67cfb, 0xda9a8aff), - TOBN(0x4c23f62a, 0x2c160dcd), TOBN(0x34e6c5e3, 0x8f90eaef), - TOBN(0x35865519, 0xa9a65d5a), TOBN(0x07c48aae, 0x8fd38a3d), - TOBN(0xb7e7aeda, 0x50068527), TOBN(0x2c09ef23, 0x1c90936a), - TOBN(0x31ecfeb6, 0xe879324c), TOBN(0xa0871f6b, 0xfb0ec938), - TOBN(0xb1f0fb68, 0xd84d835d), TOBN(0xc90caf39, 0x861dc1e6), - TOBN(0x12e5b046, 0x7594f8d7), TOBN(0x26897ae2, 0x65012b92), - TOBN(0xbcf68a08, 0xa4d6755d), TOBN(0x403ee41c, 0x0991fbda), - TOBN(0x733e343e, 0x3bbf17e8), TOBN(0xd2c7980d, 0x679b3d65), - TOBN(0x33056232, 0xd2e11305), TOBN(0x966be492, 0xf3c07a6f), - TOBN(0x6a8878ff, 0xbb15509d), TOBN(0xff221101, 0x0a9b59a4), - TOBN(0x6c9f564a, 0xabe30129), TOBN(0xc6f2c940, 0x336e64cf), - TOBN(0x0fe75262, 0x8b0c8022), TOBN(0xbe0267e9, 0x6ae8db87), - TOBN(0x22e192f1, 0x93bc042b), TOBN(0xf085b534, 0xb237c458), - TOBN(0xa0d192bd, 0x832c4168), TOBN(0x7a76e9e3, 0xbdf6271d), - TOBN(0x52a882fa, 0xb88911b5), TOBN(0xc85345e4, 0xb4db0eb5), - TOBN(0xa3be02a6, 0x81a7c3ff), TOBN(0x51889c8c, 0xf0ec0469), - TOBN(0x9d031369, 0xa5e829e5), TOBN(0xcbb4c6fc, 0x1607aa41), - TOBN(0x75ac59a6, 0x241d84c1), TOBN(0xc043f2bf, 0x8829e0ee), - TOBN(0x82a38f75, 0x8ea5e185), TOBN(0x8bda40b9, 0xd87cbd9f), - TOBN(0x9e65e75e, 0x2d8fc601), TOBN(0x3d515f74, 0xa35690b3), - TOBN(0x534acf4f, 0xda79e5ac), TOBN(0x68b83b3a, 0x8630215f), - TOBN(0x5c748b2e, 0xd085756e), TOBN(0xb0317258, 0xe5d37cb2), - TOBN(0x6735841a, 0xc5ccc2c4), TOBN(0x7d7dc96b, 0x3d9d5069), - TOBN(0xa147e410, 0xfd1754bd), TOBN(0x65296e94, 0xd399ddd5), - TOBN(0xf6b5b2d0, 0xbc8fa5bc), TOBN(0x8a5ead67, 0x500c277b), - TOBN(0x214625e6, 0xdfa08a5d), TOBN(0x51fdfedc, 0x959cf047), - TOBN(0x6bc9430b, 0x289fca32), TOBN(0xe36ff0cf, 0x9d9bdc3f), - TOBN(0x2fe187cb, 0x58ea0ede), TOBN(0xed66af20, 0x5a900b3f), - TOBN(0x00e0968b, 0x5fa9f4d6), TOBN(0x2d4066ce, 0x37a362e7), - TOBN(0xa99a9748, 0xbd07e772), TOBN(0x710989c0, 0x06a4f1d0), - TOBN(0xd5dedf35, 0xce40cbd8), TOBN(0xab55c5f0, 0x1743293d), - TOBN(0x766f1144, 0x8aa24e2c), TOBN(0x94d874f8, 0x605fbcb4), - TOBN(0xa365f0e8, 0xa518001b), TOBN(0xee605eb6, 0x9d04ef0f), - TOBN(0x5a3915cd, 0xba8d4d25), TOBN(0x44c0e1b8, 0xb5113472), - TOBN(0xcbb024e8, 0x8b6740dc), TOBN(0x89087a53, 0xee1d4f0c), - TOBN(0xa88fa05c, 0x1fc4e372), TOBN(0x8bf395cb, 0xaf8b3af2), - TOBN(0x1e71c9a1, 0xdeb8568b), TOBN(0xa35daea0, 0x80fb3d32), - TOBN(0xe8b6f266, 0x2cf8fb81), TOBN(0x6d51afe8, 0x9490696a), - TOBN(0x81beac6e, 0x51803a19), TOBN(0xe3d24b7f, 0x86219080), - TOBN(0x727cfd9d, 0xdf6f463c), TOBN(0x8c6865ca, 0x72284ee8), - TOBN(0x32c88b7d, 0xb743f4ef), TOBN(0x3793909b, 0xe7d11dce), - TOBN(0xd398f922, 0x2ff2ebe8), TOBN(0x2c70ca44, 0xe5e49796), - TOBN(0xdf4d9929, 0xcb1131b1), TOBN(0x7826f298, 0x25888e79), - TOBN(0x4d3a112c, 0xf1d8740a), TOBN(0x00384cb6, 0x270afa8b), - TOBN(0xcb64125b, 0x3ab48095), TOBN(0x3451c256, 0x62d05106), - TOBN(0xd73d577d, 0xa4955845), TOBN(0x39570c16, 0xbf9f4433), - TOBN(0xd7dfaad3, 0xadecf263), TOBN(0xf1c3d8d1, 0xdc76e102), - TOBN(0x5e774a58, 0x54c6a836), TOBN(0xdad4b672, 0x3e92d47b), - TOBN(0xbe7e990f, 0xf0d796a0), TOBN(0x5fc62478, 0xdf0e8b02), - TOBN(0x8aae8bf4, 0x030c00ad), TOBN(0x3d2db93b, 0x9004ba0f), - TOBN(0xe48c8a79, 0xd85d5ddc), TOBN(0xe907caa7, 0x6bb07f34), - TOBN(0x58db343a, 0xa39eaed5), TOBN(0x0ea6e007, 0xadaf5724), - TOBN(0xe00df169, 0xd23233f3), TOBN(0x3e322796, 0x77cb637f), - TOBN(0x1f897c0e, 0x1da0cf6c), TOBN(0xa651f5d8, 0x31d6bbdd), - TOBN(0xdd61af19, 0x1a230c76), TOBN(0xbd527272, 0xcdaa5e4a), - TOBN(0xca753636, 0xd0abcd7e), TOBN(0x78bdd37c, 0x370bd8dc), - TOBN(0xc23916c2, 0x17cd93fe), TOBN(0x65b97a4d, 0xdadce6e2), - TOBN(0xe04ed4eb, 0x174e42f8), TOBN(0x1491ccaa, 0xbb21480a), - TOBN(0x145a8280, 0x23196332), TOBN(0x3c3862d7, 0x587b479a), - TOBN(0x9f4a88a3, 0x01dcd0ed), TOBN(0x4da2b7ef, 0x3ea12f1f), - TOBN(0xf8e7ae33, 0xb126e48e), TOBN(0x404a0b32, 0xf494e237), - TOBN(0x9beac474, 0xc55acadb), TOBN(0x4ee5cf3b, 0xcbec9fd9), - TOBN(0x336b33b9, 0x7df3c8c3), TOBN(0xbd905fe3, 0xb76808fd), - TOBN(0x8f436981, 0xaa45c16a), TOBN(0x255c5bfa, 0x3dd27b62), - TOBN(0x71965cbf, 0xc3dd9b4d), TOBN(0xce23edbf, 0xfc068a87), - TOBN(0xb78d4725, 0x745b029b), TOBN(0x74610713, 0xcefdd9bd), - TOBN(0x7116f75f, 0x1266bf52), TOBN(0x02046722, 0x18e49bb6), - TOBN(0xdf43df9f, 0x3d6f19e3), TOBN(0xef1bc7d0, 0xe685cb2f), - TOBN(0xcddb27c1, 0x7078c432), TOBN(0xe1961b9c, 0xb77fedb7), - TOBN(0x1edc2f5c, 0xc2290570), TOBN(0x2c3fefca, 0x19cbd886), - TOBN(0xcf880a36, 0xc2af389a), TOBN(0x96c610fd, 0xbda71cea), - TOBN(0xf03977a9, 0x32aa8463), TOBN(0x8eb7763f, 0x8586d90a), - TOBN(0x3f342454, 0x2a296e77), TOBN(0xc8718683, 0x42837a35), - TOBN(0x7dc71090, 0x6a09c731), TOBN(0x54778ffb, 0x51b816db), - TOBN(0x6b33bfec, 0xaf06defd), TOBN(0xfe3c105f, 0x8592b70b), - TOBN(0xf937fda4, 0x61da6114), TOBN(0x3c13e651, 0x4c266ad7), - TOBN(0xe363a829, 0x855938e8), TOBN(0x2eeb5d9e, 0x9de54b72), - TOBN(0xbeb93b0e, 0x20ccfab9), TOBN(0x3dffbb5f, 0x25e61a25), - TOBN(0x7f655e43, 0x1acc093d), TOBN(0x0cb6cc3d, 0x3964ce61), - TOBN(0x6ab283a1, 0xe5e9b460), TOBN(0x55d787c5, 0xa1c7e72d), - TOBN(0x4d2efd47, 0xdeadbf02), TOBN(0x11e80219, 0xac459068), - TOBN(0x810c7626, 0x71f311f0), TOBN(0xfa17ef8d, 0x4ab6ef53), - TOBN(0xaf47fd25, 0x93e43bff), TOBN(0x5cb5ff3f, 0x0be40632), - TOBN(0x54687106, 0x8ee61da3), TOBN(0x7764196e, 0xb08afd0f), - TOBN(0x831ab3ed, 0xf0290a8f), TOBN(0xcae81966, 0xcb47c387), - TOBN(0xaad7dece, 0x184efb4f), TOBN(0xdcfc53b3, 0x4749110e), - TOBN(0x6698f23c, 0x4cb632f9), TOBN(0xc42a1ad6, 0xb91f8067), - TOBN(0xb116a81d, 0x6284180a), TOBN(0xebedf5f8, 0xe901326f), - TOBN(0xf2274c9f, 0x97e3e044), TOBN(0x42018520, 0x11d09fc9), - TOBN(0x56a65f17, 0xd18e6e23), TOBN(0x2ea61e2a, 0x352b683c), - TOBN(0x27d291bc, 0x575eaa94), TOBN(0x9e7bc721, 0xb8ff522d), - TOBN(0x5f7268bf, 0xa7f04d6f), TOBN(0x5868c73f, 0xaba41748), - TOBN(0x9f85c2db, 0x7be0eead), TOBN(0x511e7842, 0xff719135), - TOBN(0x5a06b1e9, 0xc5ea90d7), TOBN(0x0c19e283, 0x26fab631), - TOBN(0x8af8f0cf, 0xe9206c55), TOBN(0x89389cb4, 0x3553c06a), - TOBN(0x39dbed97, 0xf65f8004), TOBN(0x0621b037, 0xc508991d), - TOBN(0x1c52e635, 0x96e78cc4), TOBN(0x5385c8b2, 0x0c06b4a8), - TOBN(0xd84ddfdb, 0xb0e87d03), TOBN(0xc49dfb66, 0x934bafad), - TOBN(0x7071e170, 0x59f70772), TOBN(0x3a073a84, 0x3a1db56b), - TOBN(0x03494903, 0x3b8af190), TOBN(0x7d882de3, 0xd32920f0), - TOBN(0x91633f0a, 0xb2cf8940), TOBN(0x72b0b178, 0x6f948f51), - TOBN(0x2d28dc30, 0x782653c8), TOBN(0x88829849, 0xdb903a05), - 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TOBN(0x7493483e, 0xe9cfa354), TOBN(0x76843cb3, 0x7f74b98d), - TOBN(0xbaca6591, 0xd4b66947), TOBN(0xb452ce98, 0x04460a8c), - TOBN(0x6830d246, 0x43768f55), TOBN(0xf4197ed8, 0x7dff12df), - TOBN(0x6521b472, 0x400dd0f7), TOBN(0x59f5ca8f, 0x4b1e7093), - TOBN(0x6feff11b, 0x080338ae), TOBN(0x0ada31f6, 0xa29ca3c6), - TOBN(0x24794eb6, 0x94a2c215), TOBN(0xd83a43ab, 0x05a57ab4), - TOBN(0x264a543a, 0x2a6f89fe), TOBN(0x2c2a3868, 0xdd5ec7c2), - TOBN(0xd3373940, 0x8439d9b2), TOBN(0x715ea672, 0x0acd1f11), - TOBN(0x42c1d235, 0xe7e6cc19), TOBN(0x81ce6e96, 0xb990585c), - TOBN(0x04e5dfe0, 0xd809c7bd), TOBN(0xd7b2580c, 0x8f1050ab), - TOBN(0x6d91ad78, 0xd8a4176f), TOBN(0x0af556ee, 0x4e2e897c), - TOBN(0x162a8b73, 0x921de0ac), TOBN(0x52ac9c22, 0x7ea78400), - TOBN(0xee2a4eea, 0xefce2174), TOBN(0xbe61844e, 0x6d637f79), - TOBN(0x0491f1bc, 0x789a283b), TOBN(0x72d3ac3d, 0x880836f4), - TOBN(0xaa1c5ea3, 0x88e5402d), TOBN(0x1b192421, 0xd5cc473d), - TOBN(0x5c0b9998, 0x9dc84cac), TOBN(0xb0a8482d, 0x9c6e75b8), - TOBN(0x639961d0, 0x3a191ce2), TOBN(0xda3bc865, 0x6d837930), - TOBN(0xca990653, 0x056e6f8f), TOBN(0x84861c41, 0x64d133a7), - TOBN(0x8b403276, 0x746abe40), TOBN(0xb7b4d51a, 0xebf8e303), - TOBN(0x05b43211, 0x220a255d), TOBN(0xc997152c, 0x02419e6e), - TOBN(0x76ff47b6, 0x630c2fea), TOBN(0x50518677, 0x281fdade), - TOBN(0x3283b8ba, 0xcf902b0b), TOBN(0x8d4b4eb5, 0x37db303b), - TOBN(0xcc89f42d, 0x755011bc), TOBN(0xb43d74bb, 0xdd09d19b), - TOBN(0x65746bc9, 0x8adba350), TOBN(0x364eaf8c, 0xb51c1927), - TOBN(0x13c76596, 0x10ad72ec), TOBN(0x30045121, 0xf8d40c20), - TOBN(0x6d2d99b7, 0xea7b979b), TOBN(0xcd78cd74, 0xe6fb3bcd), - TOBN(0x11e45a9e, 0x86cffbfe), TOBN(0x78a61cf4, 0x637024f6), - TOBN(0xd06bc872, 0x3d502295), TOBN(0xf1376854, 0x458cb288), - TOBN(0xb9db26a1, 0x342f8586), TOBN(0xf33effcf, 0x4beee09e), - TOBN(0xd7e0c4cd, 0xb30cfb3a), TOBN(0x6d09b8c1, 0x6c9db4c8), - TOBN(0x40ba1a42, 0x07c8d9df), TOBN(0x6fd495f7, 0x1c52c66d), - TOBN(0xfb0e169f, 0x275264da), TOBN(0x80c2b746, 0xe57d8362), - TOBN(0xedd987f7, 0x49ad7222), TOBN(0xfdc229af, 0x4398ec7b),} - , - {TOBN(0xb0d1ed84, 0x52666a58), TOBN(0x4bcb6e00, 0xe6a9c3c2), - 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TOBN(0x0c5277eb, 0x6ea6f40c), TOBN(0x319fe96b, 0x88633365), - TOBN(0x0b0fc61f, 0x385f63cb), TOBN(0x41250c84, 0x22bdd127), - TOBN(0x67d153f1, 0x09e942c2), TOBN(0x60920d08, 0xc021ad5d), - TOBN(0x229f5746, 0x724d81a5), TOBN(0xb7ffb892, 0x5bba3299), - TOBN(0x518c51a1, 0xde413032), TOBN(0x2a9bfe77, 0x3c2fd94c), - TOBN(0xcbcde239, 0x3191f4fd), TOBN(0x43093e16, 0xd3d6ada1), - TOBN(0x184579f3, 0x58769606), TOBN(0x2c94a8b3, 0xd236625c), - TOBN(0x6922b9c0, 0x5c437d8e), TOBN(0x3d4ae423, 0xd8d9f3c8), - TOBN(0xf72c31c1, 0x2e7090a2), TOBN(0x4ac3f5f3, 0xd76a55bd), - TOBN(0x342508fc, 0x6b6af991), TOBN(0x0d527100, 0x1b5cebbd), - TOBN(0xb84740d0, 0xdd440dd7), TOBN(0x748ef841, 0x780162fd), - TOBN(0xa8dbfe0e, 0xdfc6fafb), TOBN(0xeadfdf05, 0xf7300f27), - TOBN(0x7d06555f, 0xfeba4ec9), TOBN(0x12c56f83, 0x9e25fa97), - TOBN(0x77f84203, 0xd39b8c34), TOBN(0xed8b1be6, 0x3125eddb), - TOBN(0x5bbf2441, 0xf6e39dc5), TOBN(0xb00f6ee6, 0x6a5d678a), - TOBN(0xba456ecf, 0x57d0ea99), TOBN(0xdcae0f58, 0x17e06c43), - TOBN(0x01643de4, 0x0f5b4baa), TOBN(0x2c324341, 0xd161b9be), - TOBN(0x80177f55, 0xe126d468), TOBN(0xed325f1f, 0x76748e09), - TOBN(0x6116004a, 0xcfa9bdc2), TOBN(0x2d8607e6, 0x3a9fb468), - TOBN(0x0e573e27, 0x6009d660), TOBN(0x3a525d2e, 0x8d10c5a1), - TOBN(0xd26cb45c, 0x3b9009a0), TOBN(0xb6b0cdc0, 0xde9d7448), - TOBN(0x949c9976, 0xe1337c26), TOBN(0x6faadebd, 0xd73d68e5), - TOBN(0x9e158614, 0xf1b768d9), TOBN(0x22dfa557, 0x9cc4f069), - TOBN(0xccd6da17, 0xbe93c6d6), TOBN(0x24866c61, 0xa504f5b9), - TOBN(0x2121353c, 0x8d694da1), TOBN(0x1c6ca580, 0x0140b8c6), - TOBN(0xc245ad8c, 0xe964021e), TOBN(0xb83bffba, 0x032b82b3), - TOBN(0xfaa220c6, 0x47ef9898), TOBN(0x7e8d3ac6, 0x982c948a), - TOBN(0x1faa2091, 0xbc2d124a), TOBN(0xbd54c3dd, 0x05b15ff4), - TOBN(0x386bf3ab, 0xc87c6fb7), TOBN(0xfb2b0563, 0xfdeb6f66), - TOBN(0x4e77c557, 0x5b45afb4), TOBN(0xe9ded649, 0xefb8912d), - TOBN(0x7ec9bbf5, 0x42f6e557), TOBN(0x2570dfff, 0x62671f00), - TOBN(0x2b3bfb78, 0x88e084bd), TOBN(0xa024b238, 0xf37fe5b4), - TOBN(0x44e7dc04, 0x95649aee), TOBN(0x498ca255, 0x5e7ec1d8), - TOBN(0x3bc766ea, 0xaaa07e86), TOBN(0x0db6facb, 0xf3608586), - TOBN(0xbadd2549, 0xbdc259c8), TOBN(0x95af3c6e, 0x041c649f), - TOBN(0xb36a928c, 0x02e30afb), TOBN(0x9b5356ad, 0x008a88b8), - TOBN(0x4b67a5f1, 0xcf1d9e9d), TOBN(0xc6542e47, 0xa5d8d8ce), - TOBN(0x73061fe8, 0x7adfb6cc), TOBN(0xcc826fd3, 0x98678141), - TOBN(0x00e758b1, 0x3c80515a), TOBN(0x6afe3247, 0x41485083), - TOBN(0x0fcb08b9, 0xb6ae8a75), TOBN(0xb8cf388d, 0x4acf51e1), - TOBN(0x344a5560, 0x6961b9d6), TOBN(0x1a6778b8, 0x6a97fd0c), - TOBN(0xd840fdc1, 0xecc4c7e3), TOBN(0xde9fe47d, 0x16db68cc), - TOBN(0xe95f89de, 0xa3e216aa), TOBN(0x84f1a6a4, 0x9594a8be), - TOBN(0x7ddc7d72, 0x5a7b162b), TOBN(0xc5cfda19, 0xadc817a3), - TOBN(0x80a5d350, 0x78b58d46), TOBN(0x93365b13, 0x82978f19), - TOBN(0x2e44d225, 0x26a1fc90), TOBN(0x0d6d10d2, 0x4d70705d), - TOBN(0xd94b6b10, 0xd70c45f4), TOBN(0x0f201022, 0xb216c079), - TOBN(0xcec966c5, 0x658fde41), TOBN(0xa8d2bc7d, 0x7e27601d), - TOBN(0xbfcce3e1, 0xff230be7), TOBN(0x3394ff6b, 0x0033ffb5), - TOBN(0xd890c509, 0x8132c9af), TOBN(0xaac4b0eb, 0x361e7868), - TOBN(0x5194ded3, 0xe82d15aa), TOBN(0x4550bd2e, 0x23ae6b7d), - TOBN(0x3fda318e, 0xea5399d4), TOBN(0xd989bffa, 0x91638b80), - TOBN(0x5ea124d0, 0xa14aa12d), TOBN(0x1fb1b899, 0x3667b944), - TOBN(0x95ec7969, 0x44c44d6a), TOBN(0x91df144a, 0x57e86137), - TOBN(0x915fd620, 0x73adac44), TOBN(0x8f01732d, 0x59a83801), - TOBN(0xec579d25, 0x3aa0a633), TOBN(0x06de5e7c, 0xc9d6d59c), - TOBN(0xc132f958, 0xb1ef8010), TOBN(0x29476f96, 0xe65c1a02), - TOBN(0x336a77c0, 0xd34c3565), TOBN(0xef1105b2, 0x1b9f1e9e), - TOBN(0x63e6d08b, 0xf9e08002), TOBN(0x9aff2f21, 0xc613809e), - TOBN(0xb5754f85, 0x3a80e75d), TOBN(0xde71853e, 0x6bbda681), - TOBN(0x86f041df, 0x8197fd7a), TOBN(0x8b332e08, 0x127817fa), - TOBN(0x05d99be8, 0xb9c20cda), TOBN(0x89f7aad5, 0xd5cd0c98), - TOBN(0x7ef936fe, 0x5bb94183), TOBN(0x92ca0753, 0xb05cd7f2), - TOBN(0x9d65db11, 0x74a1e035), TOBN(0x02628cc8, 0x13eaea92), - TOBN(0xf2d9e242, 0x49e4fbf2), TOBN(0x94fdfd9b, 0xe384f8b7), - TOBN(0x65f56054, 0x63428c6b), TOBN(0x2f7205b2, 0x90b409a5), - TOBN(0xf778bb78, 0xff45ae11), TOBN(0xa13045be, 0xc5ee53b2), - TOBN(0xe00a14ff, 0x03ef77fe), TOBN(0x689cd59f, 0xffef8bef), - TOBN(0x3578f0ed, 0x1e9ade22), TOBN(0xe99f3ec0, 0x6268b6a8), - TOBN(0xa2057d91, 0xea1b3c3e), TOBN(0x2d1a7053, 0xb8823a4a), - TOBN(0xabbb336a, 0x2cca451e), TOBN(0xcd2466e3, 0x2218bb5d), - TOBN(0x3ac1f42f, 0xc8cb762d), TOBN(0x7e312aae, 0x7690211f), - TOBN(0xebb9bd73, 0x45d07450), TOBN(0x207c4b82, 0x46c2213f), - TOBN(0x99d425c1, 0x375913ec), TOBN(0x94e45e96, 0x67908220), - TOBN(0xc08f3087, 0xcd67dbf6), TOBN(0xa5670fbe, 0xc0887056), - TOBN(0x6717b64a, 0x66f5b8fc), TOBN(0xd5a56aea, 0x786fec28), - TOBN(0xa8c3f55f, 0xc0ff4952), TOBN(0xa77fefae, 0x457ac49b), - TOBN(0x29882d7c, 0x98379d44), TOBN(0xd000bdfb, 0x509edc8a), - TOBN(0xc6f95979, 0xe66fe464), TOBN(0x504a6115, 0xfa61bde0), - TOBN(0x56b3b871, 0xeffea31a), TOBN(0x2d3de26d, 0xf0c21a54), - TOBN(0x21dbff31, 0x834753bf), TOBN(0xe67ecf49, 0x69269d86), - TOBN(0x7a176952, 0x151fe690), TOBN(0x03515804, 0x7f2adb5f), - TOBN(0xee794b15, 0xd1b62a8d), TOBN(0xf004ceec, 0xaae454e6), - TOBN(0x0897ea7c, 0xf0386fac), TOBN(0x3b62ff12, 0xd1fca751), - TOBN(0x154181df, 0x1b7a04ec), TOBN(0x2008e04a, 0xfb5847ec), - TOBN(0xd147148e, 0x41dbd772), TOBN(0x2b419f73, 0x22942654), - TOBN(0x669f30d3, 0xe9c544f7), TOBN(0x52a2c223, 0xc8540149), - TOBN(0x5da9ee14, 0x634dfb02), TOBN(0x5f074ff0, 0xf47869f3), - TOBN(0x74ee878d, 0xa3933acc), TOBN(0xe6510651, 0x4fe35ed1), - TOBN(0xb3eb9482, 0xf1012e7a), TOBN(0x51013cc0, 0xa8a566ae), - TOBN(0xdd5e9243, 0x47c00d3b), TOBN(0x7fde089d, 0x946bb0e5), - TOBN(0x030754fe, 0xc731b4b3), TOBN(0x12a136a4, 0x99fda062), - TOBN(0x7c1064b8, 0x5a1a35bc), TOBN(0xbf1f5763, 0x446c84ef), - TOBN(0xed29a56d, 0xa16d4b34), TOBN(0x7fba9d09, 0xdca21c4f), - TOBN(0x66d7ac00, 0x6d8de486), TOBN(0x60061987, 0x73a2a5e1), - TOBN(0x8b400f86, 0x9da28ff0), TOBN(0x3133f708, 0x43c4599c), - TOBN(0x9911c9b8, 0xee28cb0d), TOBN(0xcd7e2874, 0x8e0af61d), - TOBN(0x5a85f0f2, 0x72ed91fc), TOBN(0x85214f31, 0x9cd4a373), - TOBN(0x881fe5be, 0x1925253c), TOBN(0xd8dc98e0, 0x91e8bc76), - TOBN(0x7120affe, 0x585cc3a2), TOBN(0x724952ed, 0x735bf97a), - TOBN(0x5581e7dc, 0x3eb34581), TOBN(0x5cbff4f2, 0xe52ee57d), - TOBN(0x8d320a0e, 0x87d8cc7b), TOBN(0x9beaa7f3, 0xf1d280d0), - TOBN(0x7a0b9571, 0x9beec704), TOBN(0x9126332e, 0x5b7f0057), - TOBN(0x01fbc1b4, 0x8ed3bd6d), TOBN(0x35bb2c12, 0xd945eb24), - TOBN(0x6404694e, 0x9a8ae255), TOBN(0xb6092eec, 0x8d6abfb3), - TOBN(0x4d76143f, 0xcc058865), TOBN(0x7b0a5af2, 0x6e249922), - TOBN(0x8aef9440, 0x6a50d353), TOBN(0xe11e4bcc, 0x64f0e07a), - TOBN(0x4472993a, 0xa14a90fa), TOBN(0x7706e20c, 0xba0c51d4), - TOBN(0xf403292f, 0x1532672d), TOBN(0x52573bfa, 0x21829382), - TOBN(0x6a7bb6a9, 0x3b5bdb83), TOBN(0x08da65c0, 0xa4a72318), - TOBN(0xc58d22aa, 0x63eb065f), TOBN(0x1717596c, 0x1b15d685), - TOBN(0x112df0d0, 0xb266d88b), TOBN(0xf688ae97, 0x5941945a), - TOBN(0x487386e3, 0x7c292cac), TOBN(0x42f3b50d, 0x57d6985c), - TOBN(0x6da4f998, 0x6a90fc34), TOBN(0xc8f257d3, 0x65ca8a8d), - TOBN(0xc2feabca, 0x6951f762), TOBN(0xe1bc81d0, 0x74c323ac), - TOBN(0x1bc68f67, 0x251a2a12), TOBN(0x10d86587, 0xbe8a70dc), - TOBN(0xd648af7f, 0xf0f84d2e), TOBN(0xf0aa9ebc, 0x6a43ac92), - TOBN(0x69e3be04, 0x27596893), TOBN(0xb6bb02a6, 0x45bf452b), - TOBN(0x0875c11a, 0xf4c698c8), TOBN(0x6652b5c7, 0xbece3794), - TOBN(0x7b3755fd, 0x4f5c0499), TOBN(0x6ea16558, 0xb5532b38), - TOBN(0xd1c69889, 0xa2e96ef7), TOBN(0x9c773c3a, 0x61ed8f48), - TOBN(0x2b653a40, 0x9b323abc), TOBN(0xe26605e1, 0xf0e1d791), - TOBN(0x45d41064, 0x4a87157a), TOBN(0x8f9a78b7, 0xcbbce616), - TOBN(0xcf1e44aa, 0xc407eddd), TOBN(0x81ddd1d8, 0xa35b964f), - TOBN(0x473e339e, 0xfd083999), TOBN(0x6c94bdde, 0x8e796802), - TOBN(0x5a304ada, 0x8545d185), TOBN(0x82ae44ea, 0x738bb8cb), - TOBN(0x628a35e3, 0xdf87e10e), TOBN(0xd3624f3d, 0xa15b9fe3), - TOBN(0xcc44209b, 0x14be4254), TOBN(0x7d0efcbc, 0xbdbc2ea5), - TOBN(0x1f603362, 0x04c37bbe), TOBN(0x21f363f5, 0x56a5852c), - TOBN(0xa1503d1c, 0xa8501550), TOBN(0x2251e0e1, 0xd8ab10bb), - TOBN(0xde129c96, 0x6961c51c), TOBN(0x1f7246a4, 0x81910f68), - TOBN(0x2eb744ee, 0x5f2591f2), TOBN(0x3c47d33f, 0x5e627157), - TOBN(0x4d6d62c9, 0x22f3bd68), TOBN(0x6120a64b, 0xcb8df856), - TOBN(0x3a9ac6c0, 0x7b5d07df), TOBN(0xa92b9558, 0x7ef39783), - TOBN(0xe128a134, 0xab3a9b4f), TOBN(0x41c18807, 0xb1252f05), - TOBN(0xfc7ed089, 0x80ba9b1c), TOBN(0xac8dc6de, 0xc532a9dd), - 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TOBN(0x13039deb, 0x0ac3ffe8), TOBN(0xa01be628, 0xec8523fb), - TOBN(0x6ea34103, 0x0ca1c328), TOBN(0xc74114bd, 0xb903928e), - TOBN(0x8aa4ff4e, 0x9e9144b0), TOBN(0x7064091f, 0x7f9a4b17), - TOBN(0xa3f4f521, 0xe447f2c4), TOBN(0x81b8da7a, 0x604291f0), - TOBN(0xd680bc46, 0x7d5926de), TOBN(0x84f21fd5, 0x34a1202f), - TOBN(0x1d1e3181, 0x4e9df3d8), TOBN(0x1ca4861a, 0x39ab8d34), - TOBN(0x809ddeec, 0x5b19aa4a), TOBN(0x59f72f7e, 0x4d329366), - TOBN(0xa2f93f41, 0x386d5087), TOBN(0x40bf739c, 0xdd67d64f), - TOBN(0xb4494205, 0x66702158), TOBN(0xc33c65be, 0x73b1e178), - TOBN(0xcdcd657c, 0x38ca6153), TOBN(0x97f4519a, 0xdc791976), - TOBN(0xcc7c7f29, 0xcd6e1f39), TOBN(0x38de9cfb, 0x7e3c3932), - TOBN(0xe448eba3, 0x7b793f85), TOBN(0xe9f8dbf9, 0xf067e914), - TOBN(0xc0390266, 0xf114ae87), TOBN(0x39ed75a7, 0xcd6a8e2a), - TOBN(0xadb14848, 0x7ffba390), TOBN(0x67f8cb8b, 0x6af9bc09), - TOBN(0x322c3848, 0x9c7476db), TOBN(0xa320fecf, 0x52a538d6), - TOBN(0xe0493002, 0xb2aced2b), TOBN(0xdfba1809, 0x616bd430), - TOBN(0x531c4644, 0xc331be70), TOBN(0xbc04d32e, 0x90d2e450), - 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TOBN(0x83031dab, 0x9dab7cbf), TOBN(0xfe23feb0, 0x3abbf5f0), - TOBN(0x9f1b2466, 0xcdedca85), TOBN(0x140bb710, 0x1a09538c), - TOBN(0xac8ae851, 0x5e11115d), TOBN(0x0d63ff67, 0x6f03f59e), - TOBN(0x755e5551, 0x7d234afb), TOBN(0x61c2db4e, 0x7e208fc1), - TOBN(0xaa9859ce, 0xf28a4b5d), TOBN(0xbdd6d4fc, 0x34af030f), - TOBN(0xd1c4a26d, 0x3be01cb1), TOBN(0x9ba14ffc, 0x243aa07c), - TOBN(0xf95cd3a9, 0xb2503502), TOBN(0xe379bc06, 0x7d2a93ab), - TOBN(0x3efc18e9, 0xd4ca8d68), TOBN(0x083558ec, 0x80bb412a), - TOBN(0xd903b940, 0x9645a968), TOBN(0xa499f0b6, 0x9ba6054f), - TOBN(0x208b573c, 0xb8349abe), TOBN(0x3baab3e5, 0x30b4fc1c), - TOBN(0x87e978ba, 0xcb524990), TOBN(0x3524194e, 0xccdf0e80), - TOBN(0x62711725, 0x7d4bcc42), TOBN(0xe90a3d9b, 0xb90109ba), - TOBN(0x3b1bdd57, 0x1323e1e0), TOBN(0xb78e9bd5, 0x5eae1599), - TOBN(0x0794b746, 0x9e03d278), TOBN(0x80178605, 0xd70e6297), - TOBN(0x171792f8, 0x99c97855), TOBN(0x11b393ee, 0xf5a86b5c), - TOBN(0x48ef6582, 0xd8884f27), TOBN(0xbd44737a, 0xbf19ba5f), - TOBN(0x8698de4c, 0xa42062c6), TOBN(0x8975eb80, 0x61ce9c54), - 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TOBN(0xdca1d4e1, 0xc17cf7b7), TOBN(0x0c326d12, 0x2fe2362d), - TOBN(0x05f7ac33, 0x7dd35df3), TOBN(0x0c3b7639, 0xc396dbdf), - TOBN(0x0912f5ac, 0x03b7db1c), TOBN(0x9dea4b70, 0x5c9ed4a9), - TOBN(0x475e6e53, 0xaae3f639), TOBN(0xfaba0e7c, 0xfc278bac), - TOBN(0x16f9e221, 0x9490375f), TOBN(0xaebf9746, 0xa5a7ed0a), - TOBN(0x45f9af3f, 0xf41ad5d6), TOBN(0x03c4623c, 0xb2e99224), - TOBN(0x82c5bb5c, 0xb3cf56aa), TOBN(0x64311819, 0x34567ed3), - TOBN(0xec57f211, 0x8be489ac), TOBN(0x2821895d, 0xb9a1104b), - TOBN(0x610dc875, 0x6064e007), TOBN(0x8e526f3f, 0x5b20d0fe), - TOBN(0x6e71ca77, 0x5b645aee), TOBN(0x3d1dcb9f, 0x800e10ff), - TOBN(0x36b51162, 0x189cf6de), TOBN(0x2c5a3e30, 0x6bb17353), - TOBN(0xc186cd3e, 0x2a6c6fbf), TOBN(0xa74516fa, 0x4bf97906), - TOBN(0x5b4b8f4b, 0x279d6901), TOBN(0x0c4e57b4, 0x2b573743), - TOBN(0x75fdb229, 0xb6e386b6), TOBN(0xb46793fd, 0x99deac27), - TOBN(0xeeec47ea, 0xcf712629), TOBN(0xe965f3c4, 0xcbc3b2dd), - TOBN(0x8dd1fb83, 0x425c6559), TOBN(0x7fc00ee6, 0x0af06fda), - TOBN(0xe98c9225, 0x33d956df), TOBN(0x0f1ef335, 0x4fbdc8a2), - 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TOBN(0x02fb34e0, 0x943aa75e), TOBN(0xa18c9c58, 0xab8ff6e4), - TOBN(0x080f31b1, 0x33cf0d19), TOBN(0x5c9682db, 0x083518a7), - TOBN(0x873d4ca6, 0xb709c3de), TOBN(0x64a84262, 0x3575b8f0), - TOBN(0x6275da1f, 0x020154bb), TOBN(0x97678caa, 0xd17cf1ab), - TOBN(0x8779795f, 0x951a95c3), TOBN(0xdd35b163, 0x50fccc08), - TOBN(0x32709627, 0x33d8f031), TOBN(0x3c5ab10a, 0x498dd85c), - TOBN(0xb6c185c3, 0x41dca566), TOBN(0x7de7feda, 0xd8622aa3), - TOBN(0x99e84d92, 0x901b6dfb), TOBN(0x30a02b0e, 0x7c4ad288), - TOBN(0xc7c81daa, 0x2fd3cf36), TOBN(0xd1319547, 0xdf89e59f), - TOBN(0xb2be8184, 0xcd496733), TOBN(0xd5f449eb, 0x93d3412b), - TOBN(0x7ea41b1b, 0x25fe531d), TOBN(0xf9797432, 0x6a1d5646), - TOBN(0x86067f72, 0x2bde501a), TOBN(0xf91481c0, 0x0c85e89c), - TOBN(0xca8ee465, 0xf8b05bc6), TOBN(0x1844e1cf, 0x02e83cda), - TOBN(0xca82114a, 0xb4dbe33b), TOBN(0x0f9f8769, 0x4eabfde2), - TOBN(0x4936b1c0, 0x38b27fe2), TOBN(0x63b6359b, 0xaba402df), - TOBN(0x40c0ea2f, 0x656bdbab), TOBN(0x9c992a89, 0x6580c39c), - TOBN(0x600e8f15, 0x2a60aed1), TOBN(0xeb089ca4, 0xe0bf49df), - TOBN(0x9c233d7d, 0x2d42d99a), TOBN(0x648d3f95, 0x4c6bc2fa), - TOBN(0xdcc383a8, 0xe1add3f3), TOBN(0xf42c0c6a, 0x4f64a348), - TOBN(0x2abd176f, 0x0030dbdb), TOBN(0x4de501a3, 0x7d6c215e), - TOBN(0x4a107c1f, 0x4b9a64bc), TOBN(0xa77f0ad3, 0x2496cd59), - TOBN(0xfb78ac62, 0x7688dffb), TOBN(0x7025a2ca, 0x67937d8e), - TOBN(0xfde8b2d1, 0xd1a8f4e7), TOBN(0xf5b3da47, 0x7354927c), - TOBN(0xe48606a3, 0xd9205735), TOBN(0xac477cc6, 0xe177b917), - TOBN(0xfb1f73d2, 0xa883239a), TOBN(0xe12572f6, 0xcc8b8357), - TOBN(0x9d355e9c, 0xfb1f4f86), TOBN(0x89b795f8, 0xd9f3ec6e), - TOBN(0x27be56f1, 0xb54398dc), TOBN(0x1890efd7, 0x3fedeed5), - TOBN(0x62f77f1f, 0x9c6d0140), TOBN(0x7ef0e314, 0x596f0ee4), - TOBN(0x50ca6631, 0xcc61dab3), TOBN(0x4a39801d, 0xf4866e4f), - TOBN(0x66c8d032, 0xae363b39), TOBN(0x22c591e5, 0x2ead66aa), - TOBN(0x954ba308, 0xde02a53e), TOBN(0x2a6c060f, 0xd389f357), - TOBN(0xe6cfcde8, 0xfbf40b66), TOBN(0x8e02fc56, 0xc6340ce1), - TOBN(0xe4957795, 0x73adb4ba), TOBN(0x7b86122c, 0xa7b03805), - TOBN(0x63f83512, 0x0c8e6fa6), TOBN(0x83660ea0, 0x057d7804), - TOBN(0xbad79105, 0x21ba473c), TOBN(0xb6c50bee, 0xded5389d), - TOBN(0xee2caf4d, 0xaa7c9bc0), TOBN(0xd97b8de4, 0x8c4e98a7), - TOBN(0xa9f63e70, 0xab3bbddb), TOBN(0x3898aabf, 0x2597815a), - TOBN(0x7659af89, 0xac15b3d9), TOBN(0xedf7725b, 0x703ce784), - TOBN(0x25470fab, 0xe085116b), TOBN(0x04a43375, 0x87285310), - TOBN(0x4e39187e, 0xe2bfd52f), TOBN(0x36166b44, 0x7d9ebc74), - TOBN(0x92ad433c, 0xfd4b322c), TOBN(0x726aa817, 0xba79ab51), - TOBN(0xf96eacd8, 0xc1db15eb), TOBN(0xfaf71e91, 0x0476be63), - TOBN(0xdd69a640, 0x641fad98), TOBN(0xb7995918, 0x29622559), - TOBN(0x03c6daa5, 0xde4199dc), TOBN(0x92cadc97, 0xad545eb4), - TOBN(0x1028238b, 0x256534e4), TOBN(0x73e80ce6, 0x8595409a), - TOBN(0x690d4c66, 0xd05dc59b), TOBN(0xc95f7b8f, 0x981dee80), - TOBN(0xf4337014, 0xd856ac25), TOBN(0x441bd9dd, 0xac524dca), - TOBN(0x640b3d85, 0x5f0499f5), TOBN(0x39cf84a9, 0xd5fda182), - TOBN(0x04e7b055, 0xb2aa95a0), TOBN(0x29e33f0a, 0x0ddf1860), - TOBN(0x082e74b5, 0x423f6b43), TOBN(0x217edeb9, 0x0aaa2b0f), - TOBN(0x58b83f35, 0x83cbea55), TOBN(0xc485ee4d, 0xbc185d70), - TOBN(0x833ff03b, 0x1e5f6992), TOBN(0xb5b9b9cc, 0xcf0c0dd5), - TOBN(0x7caaee8e, 0x4e9e8a50), TOBN(0x462e907b, 0x6269dafd), - TOBN(0x6ed5cee9, 0xfbe791c6), TOBN(0x68ca3259, 0xed430790), - TOBN(0x2b72bdf2, 0x13b5ba88), TOBN(0x60294c8a, 0x35ef0ac4), - TOBN(0x9c3230ed, 0x19b99b08), TOBN(0x560fff17, 0x6c2589aa), - TOBN(0x552b8487, 0xd6770374), TOBN(0xa373202d, 0x9a56f685), - TOBN(0xd3e7f907, 0x45f175d9), TOBN(0x3c2f315f, 0xd080d810), - TOBN(0x1130e9dd, 0x7b9520e8), TOBN(0xc078f9e2, 0x0af037b5), - TOBN(0x38cd2ec7, 0x1e9c104c), TOBN(0x0f684368, 0xc472fe92), - TOBN(0xd3f1b5ed, 0x6247e7ef), TOBN(0xb32d33a9, 0x396dfe21), - TOBN(0x46f59cf4, 0x4a9aa2c2), TOBN(0x69cd5168, 0xff0f7e41), - TOBN(0x3f59da0f, 0x4b3234da), TOBN(0xcf0b0235, 0xb4579ebe), - TOBN(0x6d1cbb25, 0x6d2476c7), TOBN(0x4f0837e6, 0x9dc30f08), - TOBN(0x9a4075bb, 0x906f6e98), TOBN(0x253bb434, 0xc761e7d1), - TOBN(0xde2e645f, 0x6e73af10), TOBN(0xb89a4060, 0x0c5f131c), - TOBN(0xd12840c5, 0xb8cc037f), TOBN(0x3d093a5b, 0x7405bb47), - TOBN(0x6202c253, 0x206348b8), TOBN(0xbf5d57fc, 0xc55a3ca7), - TOBN(0x89f6c90c, 0x8c3bef48), TOBN(0x23ac7623, 0x5a0a960a), - TOBN(0xdfbd3d6b, 0x552b42ab), TOBN(0x3ef22458, 0x132061f6), - TOBN(0xd74e9bda, 0xc97e6516), TOBN(0x88779360, 0xc230f49e), - TOBN(0xa6ec1de3, 0x1e74ea49), TOBN(0x581dcee5, 0x3fb645a2), - TOBN(0xbaef2391, 0x8f483f14), TOBN(0x6d2dddfc, 0xd137d13b), - TOBN(0x54cde50e, 0xd2743a42), TOBN(0x89a34fc5, 0xe4d97e67), - TOBN(0x13f1f5b3, 0x12e08ce5), TOBN(0xa80540b8, 0xa7f0b2ca), - TOBN(0x854bcf77, 0x01982805), TOBN(0xb8653ffd, 0x233bea04), - TOBN(0x8e7b8787, 0x02b0b4c9), TOBN(0x2675261f, 0x9acb170a), - TOBN(0x061a9d90, 0x930c14e5), TOBN(0xb59b30e0, 0xdef0abea), - TOBN(0x1dc19ea6, 0x0200ec7d), TOBN(0xb6f4a3f9, 0x0bce132b), - TOBN(0xb8d5de90, 0xf13e27e0), TOBN(0xbaee5ef0, 0x1fade16f), - TOBN(0x6f406aaa, 0xe4c6cf38), TOBN(0xab4cfe06, 0xd1369815), - TOBN(0x0dcffe87, 0xefd550c6), TOBN(0x9d4f59c7, 0x75ff7d39), - TOBN(0xb02553b1, 0x51deb6ad), TOBN(0x812399a4, 0xb1877749), - TOBN(0xce90f71f, 0xca6006e1), TOBN(0xc32363a6, 0xb02b6e77), - TOBN(0x02284fbe, 0xdc36c64d), TOBN(0x86c81e31, 0xa7e1ae61), - TOBN(0x2576c7e5, 0xb909d94a), TOBN(0x8b6f7d02, 0x818b2bb0), - TOBN(0xeca3ed07, 0x56faa38a), TOBN(0xa3790e6c, 0x9305bb54), - TOBN(0xd784eeda, 0x7bc73061), TOBN(0xbd56d369, 0x6dd50614), - TOBN(0xd6575949, 0x229a8aa9), TOBN(0xdcca8f47, 0x4595ec28), - TOBN(0x814305c1, 0x06ab4fe6), TOBN(0xc8c39768, 0x24f43f16), - TOBN(0xe2a45f36, 0x523f2b36), TOBN(0x995c6493, 0x920d93bb), - TOBN(0xf8afdab7, 0x90f1632b), TOBN(0x79ebbecd, 0x1c295954), - TOBN(0xc7bb3ddb, 0x79592f48), TOBN(0x67216a7b, 0x5f88e998), - TOBN(0xd91f098b, 0xbc01193e), TOBN(0xf7d928a5, 0xb1db83fc), - TOBN(0x55e38417, 0xe991f600), TOBN(0x2a91113e, 0x2981a934), - TOBN(0xcbc9d648, 0x06b13bde), TOBN(0xb011b6ac, 0x0755ff44), - TOBN(0x6f4cb518, 0x045ec613), TOBN(0x522d2d31, 0xc2f5930a), - TOBN(0x5acae1af, 0x382e65de), TOBN(0x57643067, 0x27bc966f), - TOBN(0x5e12705d, 0x1c7193f0), TOBN(0xf0f32f47, 0x3be8858e), - TOBN(0x785c3d7d, 0x96c6dfc7), TOBN(0xd75b4a20, 0xbf31795d), - TOBN(0x91acf17b, 0x342659d4), TOBN(0xe596ea34, 0x44f0378f), - TOBN(0x4515708f, 0xce52129d), TOBN(0x17387e1e, 0x79f2f585), - TOBN(0x72cfd2e9, 0x49dee168), TOBN(0x1ae05223, 0x3e2af239), - TOBN(0x009e75be, 0x1d94066a), TOBN(0x6cca31c7, 0x38abf413), - TOBN(0xb50bd61d, 0x9bc49908), TOBN(0x4a9b4a8c, 0xf5e2bc1e), - TOBN(0xeb6cc5f7, 0x946f83ac), TOBN(0x27da93fc, 0xebffab28), - TOBN(0xea314c96, 0x4821c8c5), TOBN(0x8de49ded, 0xa83c15f4), - TOBN(0x7a64cf20, 0x7af33004), TOBN(0x45f1bfeb, 0xc9627e10), - TOBN(0x878b0626, 0x54b9df60), TOBN(0x5e4fdc3c, 0xa95c0b33), - TOBN(0xe54a37ca, 0xc2035d8e), TOBN(0x9087cda9, 0x80f20b8c), - TOBN(0x36f61c23, 0x8319ade4), TOBN(0x766f287a, 0xde8cfdf8), - TOBN(0x48821948, 0x346f3705), TOBN(0x49a7b853, 0x16e4f4a2), - TOBN(0xb9b3f8a7, 0x5cedadfd), TOBN(0x8f562815, 0x8db2a815), - TOBN(0xc0b7d554, 0x01f68f95), TOBN(0x12971e27, 0x688a208e), - TOBN(0xc9f8b696, 0xd0ff34fc), TOBN(0x20824de2, 0x1222718c), - TOBN(0x7213cf9f, 0x0c95284d), TOBN(0xe2ad741b, 0xdc158240), - TOBN(0x0ee3a6df, 0x54043ccf), TOBN(0x16ff479b, 0xd84412b3), - TOBN(0xf6c74ee0, 0xdfc98af0), TOBN(0xa78a169f, 0x52fcd2fb), - TOBN(0xd8ae8746, 0x99c930e9), TOBN(0x1d33e858, 0x49e117a5), - TOBN(0x7581fcb4, 0x6624759f), TOBN(0xde50644f, 0x5bedc01d), - TOBN(0xbeec5d00, 0xcaf3155e), TOBN(0x672d66ac, 0xbc73e75f), - TOBN(0x86b9d8c6, 0x270b01db), TOBN(0xd249ef83, 0x50f55b79), - TOBN(0x6131d6d4, 0x73978fe3), TOBN(0xcc4e4542, 0x754b00a1), - TOBN(0x4e05df05, 0x57dfcfe9), TOBN(0x94b29cdd, 0x51ef6bf0), - TOBN(0xe4530cff, 0x9bc7edf2), TOBN(0x8ac236fd, 0xd3da65f3), - TOBN(0x0faf7d5f, 0xc8eb0b48), TOBN(0x4d2de14c, 0x660eb039), - TOBN(0xc006bba7, 0x60430e54), TOBN(0x10a2d0d6, 0xda3289ab), - TOBN(0x9c037a5d, 0xd7979c59), TOBN(0x04d1f3d3, 0xa116d944), - TOBN(0x9ff22473, 0x8a0983cd), TOBN(0x28e25b38, 0xc883cabb), - TOBN(0xe968dba5, 0x47a58995), TOBN(0x2c80b505, 0x774eebdf), - TOBN(0xee763b71, 0x4a953beb), TOBN(0x502e223f, 0x1642e7f6), - TOBN(0x6fe4b641, 0x61d5e722), TOBN(0x9d37c5b0, 0xdbef5316), - TOBN(0x0115ed70, 0xf8330bc7), TOBN(0x139850e6, 0x75a72789), - TOBN(0x27d7faec, 0xffceccc2), TOBN(0x3016a860, 0x4fd9f7f6), - TOBN(0xc492ec64, 0x4cd8f64c), TOBN(0x58a2d790, 0x279d7b51), - TOBN(0x0ced1fc5, 0x1fc75256), TOBN(0x3e658aed, 0x8f433017), - TOBN(0x0b61942e, 0x05da59eb), TOBN(0xba3d60a3, 0x0ddc3722), - TOBN(0x7c311cd1, 0x742e7f87), TOBN(0x6473ffee, 0xf6b01b6e),} - , - {TOBN(0x8303604f, 0x692ac542), TOBN(0xf079ffe1, 0x227b91d3), - TOBN(0x19f63e63, 0x15aaf9bd), TOBN(0xf99ee565, 0xf1f344fb), - TOBN(0x8a1d661f, 0xd6219199), TOBN(0x8c883bc6, 0xd48ce41c), - TOBN(0x1065118f, 0x3c74d904), TOBN(0x713889ee, 0x0faf8b1b), - TOBN(0x972b3f8f, 0x81a1b3be), TOBN(0x4f3ce145, 0xce2764a0), - TOBN(0xe2d0f1cc, 0x28c4f5f7), TOBN(0xdeee0c0d, 0xc7f3985b), - TOBN(0x7df4adc0, 0xd39e25c3), TOBN(0x40619820, 0xc467a080), - TOBN(0x440ebc93, 0x61cf5a58), TOBN(0x527729a6, 0x422ad600), - TOBN(0xca6c0937, 0xb1b76ba6), TOBN(0x1a2eab85, 0x4d2026dc), - TOBN(0xb1715e15, 0x19d9ae0a), TOBN(0xf1ad9199, 0xbac4a026), - TOBN(0x35b3dfb8, 0x07ea7b0e), TOBN(0xedf5496f, 0x3ed9eb89), - TOBN(0x8932e5ff, 0x2d6d08ab), TOBN(0xf314874e, 0x25bd2731), - TOBN(0xefb26a75, 0x3f73f449), TOBN(0x1d1c94f8, 0x8d44fc79), - TOBN(0x49f0fbc5, 0x3bc0dc4d), TOBN(0xb747ea0b, 0x3698a0d0), - TOBN(0x5218c3fe, 0x228d291e), TOBN(0x35b804b5, 0x43c129d6), - 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TOBN(0xe7af1797, 0x4ab27eca), TOBN(0x245446de, 0xbd444f39), - TOBN(0x59e22a21, 0x56c07613), TOBN(0x43deafce, 0xf4275498), - TOBN(0x10834ccb, 0x67fd0946), TOBN(0xa75841e5, 0x47406edf), - TOBN(0xebd6a677, 0x7b0ac93d), TOBN(0xa6e37b0d, 0x78f5e0d7), - TOBN(0x2516c096, 0x76f5492b), TOBN(0x1e4bf888, 0x9ac05f3a), - TOBN(0xcdb42ce0, 0x4df0ba2b), TOBN(0x935d5cfd, 0x5062341b), - TOBN(0x8a303333, 0x82acac20), TOBN(0x429438c4, 0x5198b00e), - TOBN(0x1d083bc9, 0x049d33fa), TOBN(0x58b82dda, 0x946f67ff), - TOBN(0xac3e2db8, 0x67a1d6a3), TOBN(0x62e6bead, 0x1798aac8), - TOBN(0xfc85980f, 0xde46c58c), TOBN(0xa7f69379, 0x69c8d7be), - TOBN(0x23557927, 0x837b35ec), TOBN(0x06a933d8, 0xe0790c0c), - TOBN(0x827c0e9b, 0x077ff55d), TOBN(0x53977798, 0xbb26e680), - TOBN(0x59530874, 0x1d9cb54f), TOBN(0xcca3f449, 0x4aac53ef), - TOBN(0x11dc5c87, 0xa07eda0f), TOBN(0xc138bccf, 0xfd6400c8), - TOBN(0x549680d3, 0x13e5da72), TOBN(0xc93eed82, 0x4540617e), - TOBN(0xfd3db157, 0x4d0b75c0), TOBN(0x9716eb42, 0x6386075b), - TOBN(0x0639605c, 0x817b2c16), TOBN(0x09915109, 0xf1e4f201), - TOBN(0x35c9a928, 0x5cca6c3b), TOBN(0xb25f7d1a, 0x3505c900), - TOBN(0xeb9f7d20, 0x630480c4), TOBN(0xc3c7b8c6, 0x2a1a501c), - TOBN(0x3f99183c, 0x5a1f8e24), TOBN(0xfdb118fa, 0x9dd255f0), - TOBN(0xb9b18b90, 0xc27f62a6), TOBN(0xe8f732f7, 0x396ec191), - TOBN(0x524a2d91, 0x0be786ab), TOBN(0x5d32adef, 0x0ac5a0f5), - TOBN(0x9b53d4d6, 0x9725f694), TOBN(0x032a76c6, 0x0510ba89), - TOBN(0x840391a3, 0xebeb1544), TOBN(0x44b7b88c, 0x3ed73ac3), - TOBN(0xd24bae7a, 0x256cb8b3), TOBN(0x7ceb151a, 0xe394cb12), - TOBN(0xbd6b66d0, 0x5bc1e6a8), TOBN(0xec70cecb, 0x090f07bf), - TOBN(0x270644ed, 0x7d937589), TOBN(0xee9e1a3d, 0x5f1dccfe), - TOBN(0xb0d40a84, 0x745b98d2), TOBN(0xda429a21, 0x2556ed40), - TOBN(0xf676eced, 0x85148cb9), TOBN(0x5a22d40c, 0xded18936), - TOBN(0x3bc4b9e5, 0x70e8a4ce), TOBN(0xbfd1445b, 0x9eae0379), - TOBN(0xf23f2c0c, 0x1a0bd47e), TOBN(0xa9c0bb31, 0xe1845531), - TOBN(0x9ddc4d60, 0x0a4c3f6b), TOBN(0xbdfaad79, 0x2c15ef44), - TOBN(0xce55a236, 0x7f484acc), TOBN(0x08653ca7, 0x055b1f15), - TOBN(0x2efa8724, 0x538873a3), TOBN(0x09299e5d, 0xace1c7e7), - TOBN(0x07afab66, 0xade332ba), TOBN(0x9be1fdf6, 0x92dd71b7), - TOBN(0xa49b5d59, 0x5758b11c), TOBN(0x0b852893, 0xc8654f40), - TOBN(0xb63ef6f4, 0x52379447), TOBN(0xd4957d29, 0x105e690c), - TOBN(0x7d484363, 0x646559b0), TOBN(0xf4a8273c, 0x49788a8e), - TOBN(0xee406cb8, 0x34ce54a9), TOBN(0x1e1c260f, 0xf86fda9b), - TOBN(0xe150e228, 0xcf6a4a81), TOBN(0x1fa3b6a3, 0x1b488772), - TOBN(0x1e6ff110, 0xc5a9c15b), TOBN(0xc6133b91, 0x8ad6aa47), - TOBN(0x8ac5d55c, 0x9dffa978), TOBN(0xba1d1c1d, 0x5f3965f2), - TOBN(0xf969f4e0, 0x7732b52f), TOBN(0xfceecdb5, 0xa5172a07), - TOBN(0xb0120a5f, 0x10f2b8f5), TOBN(0xc83a6cdf, 0x5c4c2f63), - TOBN(0x4d47a491, 0xf8f9c213), TOBN(0xd9e1cce5, 0xd3f1bbd5), - TOBN(0x0d91bc7c, 0xaba7e372), TOBN(0xfcdc74c8, 0xdfd1a2db), - TOBN(0x05efa800, 0x374618e5), TOBN(0x11216969, 0x15a7925e), - TOBN(0xd4c89823, 0xf6021c5d), TOBN(0x880d5e84, 0xeff14423), - TOBN(0x6523bc5a, 0x6dcd1396), TOBN(0xd1acfdfc, 0x113c978b), - TOBN(0xb0c164e8, 0xbbb66840), TOBN(0xf7f4301e, 0x72b58459), - TOBN(0xc29ad4a6, 0xa638e8ec), TOBN(0xf5ab8961, 0x46b78699), - TOBN(0x9dbd7974, 0x0e954750), TOBN(0x0121de88, 0x64f9d2c6), - TOBN(0x2e597b42, 0xd985232e), TOBN(0x55b6c3c5, 0x53451777), - TOBN(0xbb53e547, 0x519cb9fb), TOBN(0xf134019f, 0x8428600d), - TOBN(0x5a473176, 0xe081791a), TOBN(0x2f3e2263, 0x35fb0c08), - TOBN(0xb28c3017, 0x73d273b0), TOBN(0xccd21076, 0x7721ef9a), - TOBN(0x054cc292, 0xb650dc39), TOBN(0x662246de, 0x6188045e), - TOBN(0x904b52fa, 0x6b83c0d1), TOBN(0xa72df267, 0x97e9cd46), - TOBN(0x886b43cd, 0x899725e4), TOBN(0x2b651688, 0xd849ff22), - TOBN(0x60479b79, 0x02f34533), TOBN(0x5e354c14, 0x0c77c148), - TOBN(0xb4bb7581, 0xa8537c78), TOBN(0x188043d7, 0xefe1495f), - TOBN(0x9ba12f42, 0x8c1d5026), TOBN(0x2e0c8a26, 0x93d4aaab), - TOBN(0xbdba7b8b, 0xaa57c450), TOBN(0x140c9ad6, 0x9bbdafef), - TOBN(0x2067aa42, 0x25ac0f18), TOBN(0xf7b1295b, 0x04d1fbf3), - TOBN(0x14829111, 0xa4b04824), TOBN(0x2ce3f192, 0x33bd5e91), - TOBN(0x9c7a1d55, 0x8f2e1b72), TOBN(0xfe932286, 0x302aa243), - TOBN(0x497ca7b4, 0xd4be9554), TOBN(0xb8e821b8, 0xe0547a6e), - TOBN(0xfb2838be, 0x67e573e0), TOBN(0x05891db9, 0x4084c44b), - TOBN(0x91311373, 0x96c1c2c5), TOBN(0x6aebfa3f, 0xd958444b), - TOBN(0xac9cdce9, 0xe56e55c1), TOBN(0x7148ced3, 0x2caa46d0), - TOBN(0x2e10c7ef, 0xb61fe8eb), TOBN(0x9fd835da, 0xff97cf4d),} - , - {TOBN(0xa36da109, 0x081e9387), TOBN(0xfb9780d7, 0x8c935828), - TOBN(0xd5940332, 0xe540b015), TOBN(0xc9d7b51b, 0xe0f466fa), - TOBN(0xfaadcd41, 0xd6d9f671), TOBN(0xba6c1e28, 0xb1a2ac17), - TOBN(0x066a7833, 0xed201e5f), TOBN(0x19d99719, 0xf90f462b), - TOBN(0xf431f462, 0x060b5f61), TOBN(0xa56f46b4, 0x7bd057c2), - TOBN(0x348dca6c, 0x47e1bf65), TOBN(0x9a38783e, 0x41bcf1ff), - TOBN(0x7a5d33a9, 0xda710718), TOBN(0x5a779987, 0x2e0aeaf6), - TOBN(0xca87314d, 0x2d29d187), TOBN(0xfa0edc3e, 0xc687d733), - TOBN(0x9df33621, 0x6a31e09b), TOBN(0xde89e44d, 0xc1350e35), - TOBN(0x29214871, 0x4ca0cf52), TOBN(0xdf379672, 0x0b88a538), - TOBN(0xc92a510a, 0x2591d61b), TOBN(0x79aa87d7, 0x585b447b), - TOBN(0xf67db604, 0xe5287f77), TOBN(0x1697c8bf, 0x5efe7a80), - TOBN(0x1c894849, 0xcb198ac7), TOBN(0xa884a93d, 0x0f264665), - TOBN(0x2da964ef, 0x9b200678), TOBN(0x3c351b87, 0x009834e6), - 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TOBN(0xf418ade1, 0x260b5bd5), TOBN(0xc1f3e323, 0x6973dee8), - TOBN(0x46e9319c, 0x26c185dd), TOBN(0x6d85b7d8, 0x546f0ac4), - TOBN(0x427965f2, 0x247f9d57), TOBN(0xb519b636, 0xb0035f48), - TOBN(0x6b6163a9, 0xab87d59c), TOBN(0xff9f58c3, 0x39caaa11), - TOBN(0x4ac39cde, 0x3177387b), TOBN(0x5f6557c2, 0x873e77f9), - TOBN(0x67504006, 0x36a83041), TOBN(0x9b1c96ca, 0x75ef196c), - TOBN(0xf34283de, 0xb08c7940), TOBN(0x7ea09644, 0x1128c316), - TOBN(0xb510b3b5, 0x6aa39dff), TOBN(0x59b43da2, 0x9f8e4d8c), - TOBN(0xa8ce31fd, 0x9e4c4b9f), TOBN(0x0e20be26, 0xc1303c01), - TOBN(0x18187182, 0xe8ee47c9), TOBN(0xd9687cdb, 0x7db98101), - TOBN(0x7a520e4d, 0xa1e14ff6), TOBN(0x429808ba, 0x8836d572), - TOBN(0xa37ca60d, 0x4944b663), TOBN(0xf901f7a9, 0xa3f91ae5), - TOBN(0xe4e3e76e, 0x9e36e3b1), TOBN(0x9aa219cf, 0x29d93250), - TOBN(0x347fe275, 0x056a2512), TOBN(0xa4d643d9, 0xde65d95c), - TOBN(0x9669d396, 0x699fc3ed), TOBN(0xb598dee2, 0xcf8c6bbe), - TOBN(0x682ac1e5, 0xdda9e5c6), TOBN(0x4e0d3c72, 0xcaa9fc95), - TOBN(0x17faaade, 0x772bea44), TOBN(0x5ef8428c, 0xab0009c8), - TOBN(0xcc4ce47a, 0x460ff016), TOBN(0xda6d12bf, 0x725281cb), - TOBN(0x44c67848, 0x0223aad2), TOBN(0x6e342afa, 0x36256e28), - TOBN(0x1400bb0b, 0x93a37c04), TOBN(0x62b1bc9b, 0xdd10bd96), - TOBN(0x7251adeb, 0x0dac46b7), TOBN(0x7d33b92e, 0x7be4ef51), - TOBN(0x28b2a94b, 0xe61fa29a), TOBN(0x4b2be13f, 0x06422233), - TOBN(0x36d6d062, 0x330d8d37), TOBN(0x5ef80e1e, 0xb28ca005), - TOBN(0x174d4699, 0x6d16768e), TOBN(0x9fc4ff6a, 0x628bf217), - TOBN(0x77705a94, 0x154e490d), TOBN(0x9d96dd28, 0x8d2d997a), - TOBN(0x77e2d9d8, 0xce5d72c4), TOBN(0x9d06c5a4, 0xc11c714f), - TOBN(0x02aa5136, 0x79e4a03e), TOBN(0x1386b3c2, 0x030ff28b), - TOBN(0xfe82e8a6, 0xfb283f61), TOBN(0x7df203e5, 0xf3abc3fb), - TOBN(0xeec7c351, 0x3a4d3622), TOBN(0xf7d17dbf, 0xdf762761), - TOBN(0xc3956e44, 0x522055f0), TOBN(0xde3012db, 0x8fa748db), - TOBN(0xca9fcb63, 0xbf1dcc14), TOBN(0xa56d9dcf, 0xbe4e2f3a), - TOBN(0xb86186b6, 0x8bcec9c2), TOBN(0x7cf24df9, 0x680b9f06), - TOBN(0xc46b45ea, 0xc0d29281), TOBN(0xfff42bc5, 0x07b10e12), - TOBN(0x12263c40, 0x4d289427), TOBN(0x3d5f1899, 0xb4848ec4), - TOBN(0x11f97010, 0xd040800c), TOBN(0xb4c5f529, 0x300feb20), - TOBN(0xcc543f8f, 0xde94fdcb), TOBN(0xe96af739, 0xc7c2f05e), - TOBN(0xaa5e0036, 0x882692e1), TOBN(0x09c75b68, 0x950d4ae9), - TOBN(0x62f63df2, 0xb5932a7a), TOBN(0x2658252e, 0xde0979ad), - TOBN(0x2a19343f, 0xb5e69631), TOBN(0x718c7501, 0x525b666b), - TOBN(0x26a42d69, 0xea40dc3a), TOBN(0xdc84ad22, 0xaecc018f), - TOBN(0x25c36c7b, 0x3270f04a), TOBN(0x46ba6d47, 0x50fa72ed), - TOBN(0x6c37d1c5, 0x93e58a8e), TOBN(0xa2394731, 0x120c088c), - TOBN(0xc3be4263, 0xcb6e86da), TOBN(0x2c417d36, 0x7126d038), - TOBN(0x5b70f9c5, 0x8b6f8efa), TOBN(0x671a2faa, 0x37718536), - TOBN(0xd3ced3c6, 0xb539c92b), TOBN(0xe56f1bd9, 0xa31203c2), - TOBN(0x8b096ec4, 0x9ff3c8eb), TOBN(0x2deae432, 0x43491cea), - TOBN(0x2465c6eb, 0x17943794), TOBN(0x5d267e66, 0x20586843), - TOBN(0x9d3d116d, 0xb07159d0), TOBN(0xae07a67f, 0xc1896210), - TOBN(0x8fc84d87, 0xbb961579), TOBN(0x30009e49, 0x1c1f8dd6), - TOBN(0x8a8caf22, 0xe3132819), TOBN(0xcffa197c, 0xf23ab4ff), - TOBN(0x58103a44, 0x205dd687), TOBN(0x57b796c3, 0x0ded67a2), - TOBN(0x0b9c3a6c, 0xa1779ad7), TOBN(0xa33cfe2e, 0x357c09c5), - TOBN(0x2ea29315, 0x3db4a57e), TOBN(0x91959695, 0x8ebeb52e), - TOBN(0x118db9a6, 0xe546c879), TOBN(0x8e996df4, 0x6295c8d6), - TOBN(0xdd990484, 0x55ec806b), TOBN(0x24f291ca, 0x165c1035), - TOBN(0xcca523bb, 0x440e2229), TOBN(0x324673a2, 0x73ef4d04), - TOBN(0xaf3adf34, 0x3e11ec39), TOBN(0x6136d7f1, 0xdc5968d3), - TOBN(0x7a7b2899, 0xb053a927), TOBN(0x3eaa2661, 0xae067ecd), - TOBN(0x8549b9c8, 0x02779cd9), TOBN(0x061d7940, 0xc53385ea), - TOBN(0x3e0ba883, 0xf06d18bd), TOBN(0x4ba6de53, 0xb2700843), - TOBN(0xb966b668, 0x591a9e4d), TOBN(0x93f67567, 0x7f4fa0ed), - TOBN(0x5a02711b, 0x4347237b), TOBN(0xbc041e2f, 0xe794608e), - TOBN(0x55af10f5, 0x70f73d8c), TOBN(0xd2d4d4f7, 0xbb7564f7), - TOBN(0xd7d27a89, 0xb3e93ce7), TOBN(0xf7b5a875, 0x5d3a2c1b), - TOBN(0xb29e68a0, 0x255b218a), TOBN(0xb533837e, 0x8af76754), - TOBN(0xd1b05a73, 0x579fab2e), TOBN(0xb41055a1, 0xecd74385), - TOBN(0xb2369274, 0x445e9115), TOBN(0x2972a7c4, 0xf520274e), - TOBN(0x6c08334e, 0xf678e68a), TOBN(0x4e4160f0, 0x99b057ed), - TOBN(0x3cfe11b8, 0x52ccb69a), TOBN(0x2fd1823a, 0x21c8f772), - TOBN(0xdf7f072f, 0x3298f055), TOBN(0x8c0566f9, 0xfec74a6e), - TOBN(0xe549e019, 0x5bb4d041), TOBN(0x7c3930ba, 0x9208d850), - TOBN(0xe07141fc, 0xaaa2902b), TOBN(0x539ad799, 0xe4f69ad3), - TOBN(0xa6453f94, 0x813f9ffd), TOBN(0xc58d3c48, 0x375bc2f7), - TOBN(0xb3326fad, 0x5dc64e96), TOBN(0x3aafcaa9, 0xb240e354), - TOBN(0x1d1b0903, 0xaca1e7a9), TOBN(0x4ceb9767, 0x1211b8a0), - TOBN(0xeca83e49, 0xe32a858e), TOBN(0x4c32892e, 0xae907bad), - TOBN(0xd5b42ab6, 0x2eb9b494), TOBN(0x7fde3ee2, 0x1eabae1b), - TOBN(0x13b5ab09, 0xcaf54957), TOBN(0xbfb028be, 0xe5f5d5d5), - TOBN(0x928a0650, 0x2003e2c0), TOBN(0x90793aac, 0x67476843), - TOBN(0x5e942e79, 0xc81710a0), TOBN(0x557e4a36, 0x27ccadd4), - TOBN(0x72a2bc56, 0x4bcf6d0c), TOBN(0x09ee5f43, 0x26d7b80c), - TOBN(0x6b70dbe9, 0xd4292f19), TOBN(0x56f74c26, 0x63f16b18), - TOBN(0xc23db0f7, 0x35fbb42a), TOBN(0xb606bdf6, 0x6ae10040), - TOBN(0x1eb15d4d, 0x044573ac), TOBN(0x7dc3cf86, 0x556b0ba4), - TOBN(0x97af9a33, 0xc60df6f7), TOBN(0x0b1ef85c, 0xa716ce8c), - TOBN(0x2922f884, 0xc96958be), TOBN(0x7c32fa94, 0x35690963), - TOBN(0x2d7f667c, 0xeaa00061), TOBN(0xeaaf7c17, 0x3547365c), - TOBN(0x1eb4de46, 0x87032d58), TOBN(0xc54f3d83, 0x5e2c79e0), - TOBN(0x07818df4, 0x5d04ef23), TOBN(0x55faa9c8, 0x673d41b4), - TOBN(0xced64f6f, 0x89b95355), TOBN(0x4860d2ea, 0xb7415c84), - TOBN(0x5fdb9bd2, 0x050ebad3), TOBN(0xdb53e0cc, 0x6685a5bf), - TOBN(0xb830c031, 0x9feb6593), TOBN(0xdd87f310, 0x6accff17), - TOBN(0x2303ebab, 0x9f555c10), TOBN(0x94603695, 0x287e7065), - TOBN(0xf88311c3, 0x2e83358c), TOBN(0x508dd9b4, 0xeefb0178), - TOBN(0x7ca23706, 0x2dba8652), TOBN(0x62aac5a3, 0x0047abe5), - TOBN(0x9a61d2a0, 0x8b1ea7b3), TOBN(0xd495ab63, 0xae8b1485), - TOBN(0x38740f84, 0x87052f99), TOBN(0x178ebe5b, 0xb2974eea), - TOBN(0x030bbcca, 0x5b36d17f), TOBN(0xb5e4cce3, 0xaaf86eea), - TOBN(0xb51a0220, 0x68f8e9e0), TOBN(0xa4348796, 0x09eb3e75), - TOBN(0xbe592309, 0xeef1a752), TOBN(0x5d7162d7, 0x6f2aa1ed), - TOBN(0xaebfb5ed, 0x0f007dd2), TOBN(0x255e14b2, 0xc89edd22), - TOBN(0xba85e072, 0x0303b697), TOBN(0xc5d17e25, 0xf05720ff), - 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TOBN(0x832d7080, 0xeb6b242d), TOBN(0xd30bd023, 0x3b71e246), - TOBN(0x7027991b, 0xbe31139d), TOBN(0x68797e91, 0x462e4e53), - TOBN(0x423fe20a, 0x6b4e185a), TOBN(0x82f2c67e, 0x42d9b707), - TOBN(0x25c81768, 0x4cf7811b), TOBN(0xbd53005e, 0x045bb95d),} - , - {TOBN(0xe5f649be, 0x9d8e68fd), TOBN(0xdb0f0533, 0x1b044320), - TOBN(0xf6fde9b3, 0xe0c33398), TOBN(0x92f4209b, 0x66c8cfae), - TOBN(0xe9d1afcc, 0x1a739d4b), TOBN(0x09aea75f, 0xa28ab8de), - TOBN(0x14375fb5, 0xeac6f1d0), TOBN(0x6420b560, 0x708f7aa5), - TOBN(0x9eae499c, 0x6254dc41), TOBN(0x7e293924, 0x7a837e7e), - TOBN(0x74aec08c, 0x090524a7), TOBN(0xf82b9219, 0x8d6f55f2), - TOBN(0x493c962e, 0x1402cec5), TOBN(0x9f17ca17, 0xfa2f30e7), - TOBN(0xbcd783e8, 0xe9b879cb), TOBN(0xea3d8c14, 0x5a6f145f), - TOBN(0xdede15e7, 0x5e0dee6e), TOBN(0x74f24872, 0xdc628aa2), - TOBN(0xd3e9c4fe, 0x7861bb93), TOBN(0x56d4822a, 0x6187b2e0), - TOBN(0xb66417cf, 0xc59826f9), TOBN(0xca260969, 0x2408169e), - TOBN(0xedf69d06, 0xc79ef885), TOBN(0x00031f8a, 0xdc7d138f), - TOBN(0x103c46e6, 0x0ebcf726), TOBN(0x4482b831, 0x6231470e), - 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TOBN(0x76b6ba04, 0x9149202a), TOBN(0xb21c3831, 0x3670e7b7), - TOBN(0xddd93059, 0xd6fdee10), TOBN(0x9da47ad3, 0x78488e71), - TOBN(0x99cc1dfd, 0xa0fcfb25), TOBN(0x42abde10, 0x64696954), - TOBN(0x14cc15fc, 0x17eab9fe), TOBN(0xd6e863e4, 0xd3e70972), - TOBN(0x29a7765c, 0x6432112c), TOBN(0x88660001, 0x5b0774d8), - TOBN(0x3729175a, 0x2c088eae), TOBN(0x13afbcae, 0x8230b8d4), - TOBN(0x44768151, 0x915f4379), TOBN(0xf086431a, 0xd8d22812), - TOBN(0x37461955, 0xc298b974), TOBN(0x905fb5f0, 0xf8711e04), - TOBN(0x787abf3a, 0xfe969d18), TOBN(0x392167c2, 0x6f6a494e), - TOBN(0xfc7a0d2d, 0x28c511da), TOBN(0xf127c7dc, 0xb66a262d), - TOBN(0xf9c4bb95, 0xfd63fdf0), TOBN(0x90016589, 0x3913ef46), - TOBN(0x74d2a73c, 0x11aa600d), TOBN(0x2f5379bd, 0x9fb5ab52), - TOBN(0xe49e53a4, 0x7fb70068), TOBN(0x68dd39e5, 0x404aa9a7), - TOBN(0xb9b0cf57, 0x2ecaa9c3), TOBN(0xba0e103b, 0xe824826b), - TOBN(0x60c2198b, 0x4631a3c4), TOBN(0xc5ff84ab, 0xfa8966a2), - TOBN(0x2d6ebe22, 0xac95aff8), TOBN(0x1c9bb6db, 0xb5a46d09), - TOBN(0x419062da, 0x53ee4f8d), TOBN(0x7b9042d0, 0xbb97efef), - TOBN(0x0f87f080, 0x830cf6bd), TOBN(0x4861d19a, 0x6ec8a6c6), - TOBN(0xd3a0daa1, 0x202f01aa), TOBN(0xb0111674, 0xf25afbd5), - TOBN(0x6d00d6cf, 0x1afb20d9), TOBN(0x13695000, 0x40671bc5), - TOBN(0x913ab0dc, 0x2485ea9b), TOBN(0x1f2bed06, 0x9eef61ac), - TOBN(0x850c8217, 0x6d799e20), TOBN(0x93415f37, 0x3271c2de), - TOBN(0x5afb06e9, 0x6c4f5910), TOBN(0x688a52df, 0xc4e9e421), - TOBN(0x30495ba3, 0xe2a9a6db), TOBN(0x4601303d, 0x58f9268b), - TOBN(0xbe3b0dad, 0x7eb0f04f), TOBN(0x4ea47250, 0x4456936d), - TOBN(0x8caf8798, 0xd33fd3e7), TOBN(0x1ccd8a89, 0xeb433708), - TOBN(0x9effe3e8, 0x87fd50ad), TOBN(0xbe240a56, 0x6b29c4df), - TOBN(0xec4ffd98, 0xca0e7ebd), TOBN(0xf586783a, 0xe748616e), - TOBN(0xa5b00d8f, 0xc77baa99), TOBN(0x0acada29, 0xb4f34c9c), - TOBN(0x36dad67d, 0x0fe723ac), TOBN(0x1d8e53a5, 0x39c36c1e), - TOBN(0xe4dd342d, 0x1f4bea41), TOBN(0x64fd5e35, 0xebc9e4e0), - TOBN(0x96f01f90, 0x57908805), TOBN(0xb5b9ea3d, 0x5ed480dd), - TOBN(0x366c5dc2, 0x3efd2dd0), TOBN(0xed2fe305, 0x6e9dfa27), - TOBN(0x4575e892, 0x6e9197e2), TOBN(0x11719c09, 0xab502a5d), - TOBN(0x264c7bec, 0xe81f213f), TOBN(0x741b9241, 0x55f5c457), - TOBN(0x78ac7b68, 0x49a5f4f4), TOBN(0xf91d70a2, 0x9fc45b7d), - TOBN(0x39b05544, 0xb0f5f355), TOBN(0x11f06bce, 0xeef930d9), - TOBN(0xdb84d25d, 0x038d05e1), TOBN(0x04838ee5, 0xbacc1d51), - TOBN(0x9da3ce86, 0x9e8ee00b), TOBN(0xc3412057, 0xc36eda1f), - TOBN(0xae80b913, 0x64d9c2f4), TOBN(0x7468bac3, 0xa010a8ff), - TOBN(0xdfd20037, 0x37359d41), TOBN(0x1a0f5ab8, 0x15efeacc), - TOBN(0x7c25ad2f, 0x659d0ce0), TOBN(0x4011bcbb, 0x6785cff1), - TOBN(0x128b9912, 0x7e2192c7), TOBN(0xa549d8e1, 0x13ccb0e8), - TOBN(0x805588d8, 0xc85438b1), TOBN(0x5680332d, 0xbc25cb27), - TOBN(0xdcd1bc96, 0x1a4bfdf4), TOBN(0x779ff428, 0x706f6566), - TOBN(0x8bbee998, 0xf059987a), TOBN(0xf6ce8cf2, 0xcc686de7), - TOBN(0xf8ad3c4a, 0x953cfdb2), TOBN(0xd1d426d9, 0x2205da36), - TOBN(0xb3c0f13f, 0xc781a241), TOBN(0x3e89360e, 0xd75362a8), - TOBN(0xccd05863, 0xc8a91184), TOBN(0x9bd0c9b7, 0xefa8a7f4), - TOBN(0x97ee4d53, 0x8a912a4b), TOBN(0xde5e15f8, 0xbcf518fd), - TOBN(0x6a055bf8, 0xc467e1e0), TOBN(0x10be4b4b, 0x1587e256), - TOBN(0xd90c14f2, 0x668621c9), TOBN(0xd5518f51, 0xab9c92c1), - TOBN(0x8e6a0100, 0xd6d47b3c), TOBN(0xcbe980dd, 0x66716175), - TOBN(0x500d3f10, 0xddd83683), TOBN(0x3b6cb35d, 0x99cac73c), - TOBN(0x53730c8b, 0x6083d550), TOBN(0xcf159767, 0xdf0a1987), - TOBN(0x84bfcf53, 0x43ad73b3), TOBN(0x1b528c20, 0x4f035a94), - TOBN(0x4294edf7, 0x33eeac69), TOBN(0xb6283e83, 0x817f3240), - TOBN(0xc3fdc959, 0x0a5f25b1), TOBN(0xefaf8aa5, 0x5844ee22), - TOBN(0xde269ba5, 0xdbdde4de), TOBN(0xe3347160, 0xc56133bf), - TOBN(0xc1184219, 0x8d9ea9f8), TOBN(0x090de5db, 0xf3fc1ab5), - TOBN(0x404c37b1, 0x0bf22cda), TOBN(0x7de20ec8, 0xf5618894), - TOBN(0x754c588e, 0xecdaecab), TOBN(0x6ca4b0ed, 0x88342743), - TOBN(0x76f08bdd, 0xf4a938ec), TOBN(0xd182de89, 0x91493ccb), - TOBN(0xd652c53e, 0xc8a4186a), TOBN(0xb3e878db, 0x946d8e33), - TOBN(0x088453c0, 0x5f37663c), TOBN(0x5cd9daaa, 0xb407748b), - TOBN(0xa1f5197f, 0x586d5e72), TOBN(0x47500be8, 0xc443ca59), - TOBN(0x78ef35b2, 0xe2652424), TOBN(0x09c5d26f, 0x6dd7767d), - TOBN(0x7175a79a, 0xa74d3f7b), TOBN(0x0428fd8d, 0xcf5ea459), - TOBN(0x511cb97c, 0xa5d1746d), TOBN(0x36363939, 0xe71d1278), - TOBN(0xcf2df955, 0x10350bf4), TOBN(0xb3817439, 0x60aae782), - TOBN(0xa748c0e4, 0x3e688809), TOBN(0x98021fbf, 0xd7a5a006), - TOBN(0x9076a70c, 0x0e367a98), TOBN(0xbea1bc15, 0x0f62b7c2), - TOBN(0x2645a68c, 0x30fe0343), TOBN(0xacaffa78, 0x699dc14f), - TOBN(0xf4469964, 0x457bf9c4), TOBN(0x0db6407b, 0x0d2ead83), - TOBN(0x68d56cad, 0xb2c6f3eb), TOBN(0x3b512e73, 0xf376356c), - TOBN(0xe43b0e1f, 0xfce10408), TOBN(0x89ddc003, 0x5a5e257d), - TOBN(0xb0ae0d12, 0x0362e5b3), TOBN(0x07f983c7, 0xb0519161), - TOBN(0xc2e94d15, 0x5d5231e7), TOBN(0xcff22aed, 0x0b4f9513), - TOBN(0xb02588dd, 0x6ad0b0b5), TOBN(0xb967d1ac, 0x11d0dcd5), - TOBN(0x8dac6bc6, 0xcf777b6c), TOBN(0x0062bdbd, 0x4c6d1959), - TOBN(0x53da71b5, 0x0ef5cc85), TOBN(0x07012c7d, 0x4006f14f), - TOBN(0x4617f962, 0xac47800d), TOBN(0x53365f2b, 0xc102ed75), - TOBN(0xb422efcb, 0x4ab8c9d3), TOBN(0x195cb26b, 0x34af31c9), - TOBN(0x3a926e29, 0x05f2c4ce), TOBN(0xbd2bdecb, 0x9856966c), - TOBN(0x5d16ab3a, 0x85527015), TOBN(0x9f81609e, 0x4486c231), - TOBN(0xd8b96b2c, 0xda350002), TOBN(0xbd054690, 0xfa1b7d36), - TOBN(0xdc90ebf5, 0xe71d79bc), TOBN(0xf241b6f9, 0x08964e4e), - TOBN(0x7c838643, 0x2fe3cd4c), TOBN(0xe0f33acb, 0xb4bc633c), - TOBN(0xb4a9ecec, 0x3d139f1f), TOBN(0x05ce69cd, 0xdc4a1f49), - TOBN(0xa19d1b16, 0xf5f98aaf), TOBN(0x45bb71d6, 0x6f23e0ef), - TOBN(0x33789fcd, 0x46cdfdd3), TOBN(0x9b8e2978, 0xcee040ca), - TOBN(0x9c69b246, 0xae0a6828), TOBN(0xba533d24, 0x7078d5aa), - TOBN(0x7a2e42c0, 0x7bb4fbdb), TOBN(0xcfb4879a, 0x7035385c), - TOBN(0x8c3dd30b, 0x3281705b), TOBN(0x7e361c6c, 0x404fe081), - TOBN(0x7b21649c, 0x3f604edf), TOBN(0x5dbf6a3f, 0xe52ffe47), - TOBN(0xc41b7c23, 0x4b54d9bf), TOBN(0x1374e681, 0x3511c3d9), - TOBN(0x1863bf16, 0xc1b2b758), TOBN(0x90e78507, 0x1e9e6a96), - TOBN(0xab4bf98d, 0x5d86f174), TOBN(0xd74e0bd3, 0x85e96fe4), - TOBN(0x8afde39f, 0xcac5d344), TOBN(0x90946dbc, 0xbd91b847), - TOBN(0xf5b42358, 0xfe1a838c), TOBN(0x05aae6c5, 0x620ac9d8), - TOBN(0x8e193bd8, 0xa1ce5a0b), TOBN(0x8f710571, 0x4dabfd72), - TOBN(0x8d8fdd48, 0x182caaac), TOBN(0x8c4aeefa, 0x040745cf), - TOBN(0x73c6c30a, 0xf3b93e6d), TOBN(0x991241f3, 0x16f42011), - TOBN(0xa0158eea, 0xe457a477), TOBN(0xd19857db, 0xee6ddc05), - TOBN(0xb3265224, 0x18c41671), TOBN(0x3ffdfc7e, 0x3c2c0d58), - TOBN(0x3a3a5254, 0x26ee7cda), TOBN(0x341b0869, 0xdf02c3a8), - TOBN(0xa023bf42, 0x723bbfc8), TOBN(0x3d15002a, 0x14452691),} - , - {TOBN(0x5ef7324c, 0x85edfa30), TOBN(0x25976554, 0x87d4f3da), - TOBN(0x352f5bc0, 0xdcb50c86), TOBN(0x8f6927b0, 0x4832a96c), - TOBN(0xd08ee1ba, 0x55f2f94c), TOBN(0x6a996f99, 0x344b45fa), - TOBN(0xe133cb8d, 0xa8aa455d), TOBN(0x5d0721ec, 0x758dc1f7), - TOBN(0x6ba7a920, 0x79e5fb67), TOBN(0xe1331feb, 0x70aa725e), - TOBN(0x5080ccf5, 0x7df5d837), TOBN(0xe4cae01d, 0x7ff72e21), - TOBN(0xd9243ee6, 0x0412a77d), TOBN(0x06ff7cac, 0xdf449025), - TOBN(0xbe75f7cd, 0x23ef5a31), TOBN(0xbc957822, 0x0ddef7a8), - TOBN(0x8cf7230c, 0xb0ce1c55), TOBN(0x5b534d05, 0x0bbfb607), - TOBN(0xee1ef113, 0x0e16363b), TOBN(0x27e0aa7a, 0xb4999e82), - TOBN(0xce1dac2d, 0x79362c41), TOBN(0x67920c90, 0x91bb6cb0), - TOBN(0x1e648d63, 0x2223df24), TOBN(0x0f7d9eef, 0xe32e8f28), - TOBN(0x6943f39a, 0xfa833834), TOBN(0x22951722, 0xa6328562), - TOBN(0x81d63dd5, 0x4170fc10), TOBN(0x9f5fa58f, 0xaecc2e6d), - TOBN(0xb66c8725, 0xe77d9a3b), TOBN(0x11235cea, 0x6384ebe0), - TOBN(0x06a8c118, 0x5845e24a), TOBN(0x0137b286, 0xebd093b1), - TOBN(0xc589e1ce, 0x44ace150), TOBN(0xe0f8d3d9, 0x4381e97c), - TOBN(0x59e99b11, 0x62c5a4b8), TOBN(0x90d262f7, 0xfd0ec9f9), - TOBN(0xfbc854c9, 0x283e13c9), TOBN(0x2d04fde7, 0xaedc7085), - TOBN(0x057d7765, 0x47dcbecb), TOBN(0x8dbdf591, 0x9a76fa5f), - TOBN(0xd0150695, 0x0de1e578), TOBN(0x2e1463e7, 0xe9f72bc6), - TOBN(0xffa68441, 0x1b39eca5), TOBN(0x673c8530, 0x7c037f2f), - TOBN(0xd0d6a600, 0x747f91da), TOBN(0xb08d43e1, 0xc9cb78e9), - TOBN(0x0fc0c644, 0x27b5cef5), TOBN(0x5c1d160a, 0xa60a2fd6), - TOBN(0xf98cae53, 0x28c8e13b), TOBN(0x375f10c4, 0xb2eddcd1), - TOBN(0xd4eb8b7f, 0x5cce06ad), TOBN(0xb4669f45, 0x80a2e1ef), - TOBN(0xd593f9d0, 0x5bbd8699), TOBN(0x5528a4c9, 0xe7976d13), - TOBN(0x3923e095, 0x1c7e28d3), TOBN(0xb9293790, 0x3f6bb577), - TOBN(0xdb567d6a, 0xc42bd6d2), TOBN(0x6df86468, 0xbb1f96ae), - TOBN(0x0efe5b1a, 0x4843b28e), TOBN(0x961bbb05, 0x6379b240), - TOBN(0xb6caf5f0, 0x70a6a26b), TOBN(0x70686c0d, 0x328e6e39), - TOBN(0x80da06cf, 0x895fc8d3), TOBN(0x804d8810, 0xb363fdc9), - TOBN(0xbe22877b, 0x207f1670), TOBN(0x9b0dd188, 0x4e615291), - TOBN(0x625ae8dc, 0x97a3c2bf), TOBN(0x08584ef7, 0x439b86e8), - TOBN(0xde7190a5, 0xdcd898ff), TOBN(0x26286c40, 0x2058ee3d), - TOBN(0x3db0b217, 0x5f87b1c1), TOBN(0xcc334771, 0x102a6db5), - TOBN(0xd99de954, 0x2f770fb1), TOBN(0x97c1c620, 0x4cd7535e), - TOBN(0xd3b6c448, 0x3f09cefc), TOBN(0xd725af15, 0x5a63b4f8), - TOBN(0x0c95d24f, 0xc01e20ec), TOBN(0xdfd37494, 0x9ae7121f), - TOBN(0x7d6ddb72, 0xec77b7ec), TOBN(0xfe079d3b, 0x0353a4ae), - TOBN(0x3066e70a, 0x2e6ac8d2), TOBN(0x9c6b5a43, 0x106e5c05), - TOBN(0x52d3c6f5, 0xede59b8c), TOBN(0x30d6a5c3, 0xfccec9ae), - TOBN(0xedec7c22, 0x4fc0a9ef), TOBN(0x190ff083, 0x95c16ced), - TOBN(0xbe12ec8f, 0x94de0fde), TOBN(0x0d131ab8, 0x852d3433), - TOBN(0x42ace07e, 0x85701291), TOBN(0x94793ed9, 0x194061a8), - TOBN(0x30e83ed6, 0xd7f4a485), TOBN(0x9eec7269, 0xf9eeff4d), - 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TOBN(0x5e6525e3, 0x1e6266cb), TOBN(0x5931de26, 0x697d6413), - TOBN(0x87f8df7c, 0x0e58d493), TOBN(0xb1ae5ed0, 0x58b73f12), - TOBN(0xc368f784, 0xdea0c34d), TOBN(0x9bd0a120, 0x859a91a0), - TOBN(0xb00d88b7, 0xcc863c68), TOBN(0x3a1cc11e, 0x3d1f4d65), - TOBN(0xea38e0e7, 0x0aa85593), TOBN(0x37f13e98, 0x7dc4aee8), - TOBN(0x10d38667, 0xbc947bad), TOBN(0x738e07ce, 0x2a36ee2e), - TOBN(0xc93470cd, 0xc577fcac), TOBN(0xdee1b616, 0x2782470d), - TOBN(0x36a25e67, 0x2e793d12), TOBN(0xd6aa6cae, 0xe0f186da), - TOBN(0x474d0fd9, 0x80e07af7), TOBN(0xf7cdc47d, 0xba8a5cd4), - TOBN(0x28af6d9d, 0xab15247f), TOBN(0x7c789c10, 0x493a537f), - TOBN(0x7ac9b110, 0x23a334e7), TOBN(0x0236ac09, 0x12c9c277), - TOBN(0xa7e5bd25, 0x1d7a5144), TOBN(0x098b9c2a, 0xf13ec4ec), - TOBN(0x3639daca, 0xd3f0abca), TOBN(0x642da81a, 0xa23960f9), - TOBN(0x7d2e5c05, 0x4f7269b1), TOBN(0xfcf30777, 0xe287c385), - TOBN(0x10edc84f, 0xf2a46f21), TOBN(0x35441757, 0x4f43fa36), - TOBN(0xf1327899, 0xfd703431), TOBN(0xa438d7a6, 0x16dd587a), - TOBN(0x65c34c57, 0xe9c8352d), TOBN(0xa728edab, 0x5cc5a24e), - 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TOBN(0x3cb12c61, 0x3e73dd05), TOBN(0xd248c033, 0x7dac102a), - TOBN(0xcf154f13, 0xa77739f5), TOBN(0xbf4288cb, 0x23d2af42), - TOBN(0xaa64c9b6, 0x32e4a1cf), TOBN(0xee8c07a8, 0xc8a208f3), - TOBN(0xe10d4999, 0x6fe8393f), TOBN(0x0f809a3f, 0xe91f3a32), - TOBN(0x61096d1c, 0x802f63c8), TOBN(0x289e1462, 0x57750d3d), - TOBN(0xed06167e, 0x9889feea), TOBN(0xd5c9c0e2, 0xe0993909), - TOBN(0x46fca0d8, 0x56508ac6), TOBN(0x91826047, 0x4f1b8e83), - TOBN(0x4f2c877a, 0x9a4a2751), TOBN(0x71bd0072, 0xcae6fead), - TOBN(0x38df8dcc, 0x06aa1941), TOBN(0x5a074b4c, 0x63beeaa8), - TOBN(0xd6d65934, 0xc1cec8ed), TOBN(0xa6ecb49e, 0xaabc03bd), - TOBN(0xaade91c2, 0xde8a8415), TOBN(0xcfb0efdf, 0x691136e0), - TOBN(0x11af45ee, 0x23ab3495), TOBN(0xa132df88, 0x0b77463d), - TOBN(0x8923c15c, 0x815d06f4), TOBN(0xc3ceb3f5, 0x0d61a436), - TOBN(0xaf52291d, 0xe88fb1da), TOBN(0xea057974, 0x1da12179), - TOBN(0xb0d7218c, 0xd2fef720), TOBN(0x6c0899c9, 0x8e1d8845), - TOBN(0x98157504, 0x752ddad7), TOBN(0xd60bd74f, 0xa1a68a97), - TOBN(0x7047a3a9, 0xf658fb99), TOBN(0x1f5d86d6, 0x5f8511e4), - TOBN(0xb8a4bc42, 0x4b5a6d88), TOBN(0x69eb2c33, 0x1abefa7d), - TOBN(0x95bf39e8, 0x13c9c510), TOBN(0xf571960a, 0xd48aab43), - TOBN(0x7e8cfbcf, 0x704e23c6), TOBN(0xc71b7d22, 0x28aaa65b), - TOBN(0xa041b2bd, 0x245e3c83), TOBN(0x69b98834, 0xd21854ff), - TOBN(0x89d227a3, 0x963bfeec), TOBN(0x99947aaa, 0xde7da7cb), - TOBN(0x1d9ee9db, 0xee68a9b1), TOBN(0x0a08f003, 0x698ec368), - TOBN(0xe9ea4094, 0x78ef2487), TOBN(0xc8d2d415, 0x02cfec26), - TOBN(0xc52f9a6e, 0xb7dcf328), TOBN(0x0ed489e3, 0x85b6a937), - TOBN(0x9b94986b, 0xbef3366e), TOBN(0x0de59c70, 0xedddddb8), - TOBN(0xffdb748c, 0xeadddbe2), TOBN(0x9b9784bb, 0x8266ea40), - TOBN(0x142b5502, 0x1a93507a), TOBN(0xb4cd1187, 0x8d3c06cf), - TOBN(0xdf70e76a, 0x91ec3f40), TOBN(0x484e81ad, 0x4e7553c2), - TOBN(0x830f87b5, 0x272e9d6e), TOBN(0xea1c93e5, 0xc6ff514a), - TOBN(0x67cc2adc, 0xc4192a8e), TOBN(0xc77e27e2, 0x42f4535a), - TOBN(0x9cdbab36, 0xd2b713c5), TOBN(0x86274ea0, 0xcf7b0cd3), - TOBN(0x784680f3, 0x09af826b), TOBN(0xbfcc837a, 0x0c72dea3), - TOBN(0xa8bdfe9d, 0xd6529b73), TOBN(0x708aa228, 0x63a88002), - TOBN(0x6c7a9a54, 0xc91d45b9), TOBN(0xdf1a38bb, 0xfd004f56), - TOBN(0x2e8c9a26, 0xb8bad853), TOBN(0x2d52cea3, 0x3723eae7), - TOBN(0x054d6d81, 0x56ca2830), TOBN(0xa3317d14, 0x9a8dc411), - TOBN(0xa08662fe, 0xfd4ddeda), TOBN(0xed2a153a, 0xb55d792b), - TOBN(0x7035c16a, 0xbfc6e944), TOBN(0xb6bc5834, 0x00171cf3), - TOBN(0xe27152b3, 0x83d102b6), TOBN(0xfe695a47, 0x0646b848), - TOBN(0xa5bb09d8, 0x916e6d37), TOBN(0xb4269d64, 0x0d17015e), - TOBN(0x8d8156a1, 0x0a1d2285), TOBN(0xfeef6c51, 0x46d26d72), - TOBN(0x9dac57c8, 0x4c5434a7), TOBN(0x0282e5be, 0x59d39e31), - TOBN(0xedfff181, 0x721c486d), TOBN(0x301baf10, 0xbc58824e), - TOBN(0x8136a6aa, 0x00570031), TOBN(0x55aaf78c, 0x1cddde68), - TOBN(0x26829371, 0x59c63952), TOBN(0x3a3bd274, 0x8bc25baf), - TOBN(0xecdf8657, 0xb7e52dc3), TOBN(0x2dd8c087, 0xfd78e6c8), - TOBN(0x20553274, 0xf5531461), TOBN(0x8b4a1281, 0x5d95499b), - TOBN(0xe2c8763a, 0x1a80f9d2), TOBN(0xd1dbe32b, 0x4ddec758), - TOBN(0xaf12210d, 0x30c34169), TOBN(0xba74a953, 0x78baa533), - TOBN(0x3d133c6e, 0xa438f254), TOBN(0xa431531a, 0x201bef5b), - TOBN(0x15295e22, 0xf669d7ec), TOBN(0xca374f64, 0x357fb515), - TOBN(0x8a8406ff, 0xeaa3fdb3), TOBN(0x106ae448, 0xdf3f2da8), - TOBN(0x8f9b0a90, 0x33c8e9a1), TOBN(0x234645e2, 0x71ad5885), - TOBN(0x3d083224, 0x1c0aed14), TOBN(0xf10a7d3e, 0x7a942d46), - TOBN(0x7c11deee, 0x40d5c9be), TOBN(0xb2bae7ff, 0xba84ed98), - TOBN(0x93e97139, 0xaad58ddd), TOBN(0x3d872796, 0x3f6d1fa3), - TOBN(0x483aca81, 0x8569ff13), TOBN(0x8b89a5fb, 0x9a600f72), - TOBN(0x4cbc27c3, 0xc06f2b86), TOBN(0x22130713, 0x63ad9c0b), - TOBN(0xb5358b1e, 0x48ac2840), TOBN(0x18311294, 0xecba9477), - TOBN(0xda58f990, 0xa6946b43), TOBN(0x3098baf9, 0x9ab41819), - TOBN(0x66c4c158, 0x4198da52), TOBN(0xab4fc17c, 0x146bfd1b), - TOBN(0x2f0a4c3c, 0xbf36a908), TOBN(0x2ae9e34b, 0x58cf7838), - TOBN(0xf411529e, 0x3fa11b1f), TOBN(0x21e43677, 0x974af2b4), - TOBN(0x7c20958e, 0xc230793b), TOBN(0x710ea885, 0x16e840f3), - TOBN(0xfc0b21fc, 0xc5dc67cf), TOBN(0x08d51647, 0x88405718), - TOBN(0xd955c21f, 0xcfe49eb7), TOBN(0x9722a5d5, 0x56dd4a1f), - TOBN(0xc9ef50e2, 0xc861baa5), TOBN(0xc0c21a5d, 0x9505ac3e), - TOBN(0xaf6b9a33, 0x8b7c063f), TOBN(0xc6370339, 0x2f4779c1), - TOBN(0x22df99c7, 0x638167c3), TOBN(0xfe6ffe76, 0x795db30c), - TOBN(0x2b822d33, 0xa4854989), TOBN(0xfef031dd, 0x30563aa5), - TOBN(0x16b09f82, 0xd57c667f), TOBN(0xc70312ce, 0xcc0b76f1), - TOBN(0xbf04a9e6, 0xc9118aec), TOBN(0x82fcb419, 0x3409d133), - TOBN(0x1a8ab385, 0xab45d44d), TOBN(0xfba07222, 0x617b83a3), - TOBN(0xb05f50dd, 0x58e81b52), TOBN(0x1d8db553, 0x21ce5aff), - TOBN(0x3097b8d4, 0xe344a873), TOBN(0x7d8d116d, 0xfe36d53e), - TOBN(0x6db22f58, 0x7875e750), TOBN(0x2dc5e373, 0x43e144ea), - TOBN(0xc05f32e6, 0xe799eb95), TOBN(0xe9e5f4df, 0x6899e6ec), - TOBN(0xbdc3bd68, 0x1fab23d5), TOBN(0xb72b8ab7, 0x73af60e6), - TOBN(0x8db27ae0, 0x2cecc84a), TOBN(0x600016d8, 0x7bdb871c), - TOBN(0x42a44b13, 0xd7c46f58), TOBN(0xb8919727, 0xc3a77d39), - TOBN(0xcfc6bbbd, 0xdafd6088), TOBN(0x1a740146, 0x6bd20d39), - TOBN(0x8c747abd, 0x98c41072), TOBN(0x4c91e765, 0xbdf68ea1), - TOBN(0x7c95e5ca, 0x08819a78), TOBN(0xcf48b729, 0xc9587921), - TOBN(0x091c7c5f, 0xdebbcc7d), TOBN(0x6f287404, 0xf0e05149), - TOBN(0xf83b5ac2, 0x26cd44ec), TOBN(0x88ae32a6, 0xcfea250e), - TOBN(0x6ac5047a, 0x1d06ebc5), TOBN(0xc7e550b4, 0xd434f781), - TOBN(0x61ab1cf2, 0x5c727bd2), TOBN(0x2e4badb1, 0x1cf915b0), - TOBN(0x1b4dadec, 0xf69d3920), TOBN(0xe61b1ca6, 0xf14c1dfe), - TOBN(0x90b479cc, 0xbd6bd51f), TOBN(0x8024e401, 0x8045ec30), - TOBN(0xcab29ca3, 0x25ef0e62), TOBN(0x4f2e9416, 0x49e4ebc0), - TOBN(0x45eb40ec, 0x0ccced58), TOBN(0x25cd4b9c, 0x0da44f98), - TOBN(0x43e06458, 0x871812c6), TOBN(0x99f80d55, 0x16cef651), - TOBN(0x571340c9, 0xce6dc153), TOBN(0x138d5117, 0xd8665521), - TOBN(0xacdb45bc, 0x4e07014d), TOBN(0x2f34bb38, 0x84b60b91), - TOBN(0xf44a4fd2, 0x2ae8921e), TOBN(0xb039288e, 0x892ba1e2), - TOBN(0x9da50174, 0xb1c180b2), TOBN(0x6b70ab66, 0x1693dc87), - TOBN(0x7e9babc9, 0xe7057481), TOBN(0x4581ddef, 0x9c80dc41), - TOBN(0x0c890da9, 0x51294682), TOBN(0x0b5629d3, 0x3f4736e5), - TOBN(0x2340c79e, 0xb06f5b41), TOBN(0xa42e84ce, 0x4e243469), - TOBN(0xf9a20135, 0x045a71a9), TOBN(0xefbfb415, 0xd27b6fb6), - TOBN(0x25ebea23, 0x9d33cd6f), TOBN(0x9caedb88, 0xaa6c0af8), - TOBN(0x53dc7e9a, 0xd9ce6f96), TOBN(0x3897f9fd, 0x51e0b15a), - TOBN(0xf51cb1f8, 0x8e5d788e), TOBN(0x1aec7ba8, 0xe1d490ee), - TOBN(0x265991e0, 0xcc58cb3c), TOBN(0x9f306e8c, 0x9fc3ad31), - TOBN(0x5fed006e, 0x5040a0ac), TOBN(0xca9d5043, 0xfb476f2e), - TOBN(0xa19c06e8, 0xbeea7a23), TOBN(0xd2865801, 0x0edabb63), - TOBN(0xdb92293f, 0x6967469a), TOBN(0x2894d839, 0x8d8a8ed8), - TOBN(0x87c9e406, 0xbbc77122), TOBN(0x8671c6f1, 0x2ea3a26a), - TOBN(0xe42df8d6, 0xd7de9853), TOBN(0x2e3ce346, 0xb1f2bcc7), - TOBN(0xda601dfc, 0x899d50cf), TOBN(0xbfc913de, 0xfb1b598f), - TOBN(0x81c4909f, 0xe61f7908), TOBN(0x192e304f, 0x9bbc7b29), - TOBN(0xc3ed8738, 0xc104b338), TOBN(0xedbe9e47, 0x783f5d61), - TOBN(0x0c06e9be, 0x2db30660), TOBN(0xda3e613f, 0xc0eb7d8e), - TOBN(0xd8fa3e97, 0x322e096e), TOBN(0xfebd91e8, 0xd336e247), - TOBN(0x8f13ccc4, 0xdf655a49), TOBN(0xa9e00dfc, 0x5eb20210), - TOBN(0x84631d0f, 0xc656b6ea), TOBN(0x93a058cd, 0xd8c0d947), - TOBN(0x6846904a, 0x67bd3448), TOBN(0x4a3d4e1a, 0xf394fd5c), - TOBN(0xc102c1a5, 0xdb225f52), TOBN(0xe3455bba, 0xfc4f5e9a), - TOBN(0x6b36985b, 0x4b9ad1ce), TOBN(0xa9818536, 0x5bb7f793), - TOBN(0x6c25e1d0, 0x48b1a416), TOBN(0x1381dd53, 0x3c81bee7), - TOBN(0xd2a30d61, 0x7a4a7620), TOBN(0xc8412926, 0x39b8944c), - TOBN(0x3c1c6fbe, 0x7a97c33a), TOBN(0x941e541d, 0x938664e7), - TOBN(0x417499e8, 0x4a34f239), TOBN(0x15fdb83c, 0xb90402d5), - TOBN(0xb75f46bf, 0x433aa832), TOBN(0xb61e15af, 0x63215db1), - TOBN(0xaabe59d4, 0xa127f89a), TOBN(0x5d541e0c, 0x07e816da), - TOBN(0xaaba0659, 0xa618b692), TOBN(0x55327733, 0x17266026), - TOBN(0xaf53a0fc, 0x95f57552), TOBN(0x32947650, 0x6cacb0c9), - TOBN(0x253ff58d, 0xc821be01), TOBN(0xb0309531, 0xa06f1146), - TOBN(0x59bbbdf5, 0x05c2e54d), TOBN(0x158f27ad, 0x26e8dd22), - TOBN(0xcc5b7ffb, 0x397e1e53), TOBN(0xae03f65b, 0x7fc1e50d), - TOBN(0xa9784ebd, 0x9c95f0f9), TOBN(0x5ed9deb2, 0x24640771), - TOBN(0x31244af7, 0x035561c4), TOBN(0x87332f3a, 0x7ee857de), - TOBN(0x09e16e9e, 0x2b9e0d88), TOBN(0x52d910f4, 0x56a06049), - TOBN(0x507ed477, 0xa9592f48), TOBN(0x85cb917b, 0x2365d678), - TOBN(0xf8511c93, 0x4c8998d1), TOBN(0x2186a3f1, 0x730ea58f), - TOBN(0x50189626, 0xb2029db0), TOBN(0x9137a6d9, 0x02ceb75a), - TOBN(0x2fe17f37, 0x748bc82c), TOBN(0x87c2e931, 0x80469f8c), - TOBN(0x850f71cd, 0xbf891aa2), TOBN(0x0ca1b89b, 0x75ec3d8d), - TOBN(0x516c43aa, 0x5e1cd3cd), TOBN(0x89397808, 0x9a887c28), - TOBN(0x0059c699, 0xddea1f9f), TOBN(0x7737d6fa, 0x8e6868f7), - TOBN(0x6d93746a, 0x60f1524b), TOBN(0x36985e55, 0xba052aa7), - TOBN(0x41b1d322, 0xed923ea5), TOBN(0x3429759f, 0x25852a11), - TOBN(0xbeca6ec3, 0x092e9f41), TOBN(0x3a238c66, 0x62256bbd), - TOBN(0xd82958ea, 0x70ad487d), TOBN(0x4ac8aaf9, 0x65610d93), - TOBN(0x3fa101b1, 0x5e4ccab0), TOBN(0x9bf430f2, 0x9de14bfb), - TOBN(0xa10f5cc6, 0x6531899d), TOBN(0x590005fb, 0xea8ce17d), - TOBN(0xc437912f, 0x24544cb6), TOBN(0x9987b71a, 0xd79ac2e3), - TOBN(0x13e3d9dd, 0xc058a212), TOBN(0x00075aac, 0xd2de9606), - TOBN(0x80ab508b, 0x6cac8369), TOBN(0x87842be7, 0xf54f6c89), - TOBN(0xa7ad663d, 0x6bc532a4), TOBN(0x67813de7, 0x78a91bc8), - TOBN(0x5dcb61ce, 0xc3427239), TOBN(0x5f3c7cf0, 0xc56934d9), - TOBN(0xc079e0fb, 0xe3191591), TOBN(0xe40896bd, 0xb01aada7), - TOBN(0x8d466791, 0x0492d25f), TOBN(0x8aeb30c9, 0xe7408276), - TOBN(0xe9437495, 0x9287aacc), TOBN(0x23d4708d, 0x79fe03d4), - TOBN(0x8cda9cf2, 0xd0c05199), TOBN(0x502fbc22, 0xfae78454), - TOBN(0xc0bda9df, 0xf572a182), TOBN(0x5f9b71b8, 0x6158b372), - TOBN(0xe0f33a59, 0x2b82dd07), TOBN(0x76302735, 0x9523032e), - TOBN(0x7fe1a721, 0xc4505a32), TOBN(0x7b6e3e82, 0xf796409f),} - , - {TOBN(0xe3417bc0, 0x35d0b34a), TOBN(0x440b386b, 0x8327c0a7), - TOBN(0x8fb7262d, 0xac0362d1), TOBN(0x2c41114c, 0xe0cdf943), - TOBN(0x2ba5cef1, 0xad95a0b1), TOBN(0xc09b37a8, 0x67d54362), - TOBN(0x26d6cdd2, 0x01e486c9), TOBN(0x20477abf, 0x42ff9297), - TOBN(0xa004dcb3, 0x292a9287), TOBN(0xddc15cf6, 0x77b092c7), - TOBN(0x083a8464, 0x806c0605), TOBN(0x4a68df70, 0x3db997b0), - TOBN(0x9c134e45, 0x05bf7dd0), TOBN(0xa4e63d39, 0x8ccf7f8c), - TOBN(0xa6e6517f, 0x41b5f8af), TOBN(0xaa8b9342, 0xad7bc1cc), - TOBN(0x126f35b5, 0x1e706ad9), TOBN(0xb99cebb4, 0xc3a9ebdf), - TOBN(0xa75389af, 0xbf608d90), TOBN(0x76113c4f, 0xc6c89858), - TOBN(0x80de8eb0, 0x97e2b5aa), TOBN(0x7e1022cc, 0x63b91304), - 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TOBN(0xc65ea38c, 0xbe0f27a2), TOBN(0x67c24d7c, 0x641fcb56), - TOBN(0x2c25f0a7, 0xa9e2c757), TOBN(0x93f5cdb0, 0x16f16c49), - TOBN(0x2ca5a9d7, 0xc5ee30a1), TOBN(0xd1593635, 0xb909b729), - TOBN(0x804ce9f3, 0xdadeff48), TOBN(0xec464751, 0xb07c30c3), - TOBN(0x89d65ff3, 0x9e49af6a), TOBN(0xf2d6238a, 0x6f3d01bc), - TOBN(0x1095561e, 0x0bced843), TOBN(0x51789e12, 0xc8a13fd8), - TOBN(0xd633f929, 0x763231df), TOBN(0x46df9f7d, 0xe7cbddef), - TOBN(0x01c889c0, 0xcb265da8), TOBN(0xfce1ad10, 0xaf4336d2), - TOBN(0x8d110df6, 0xfc6a0a7e), TOBN(0xdd431b98, 0x6da425dc), - TOBN(0xcdc4aeab, 0x1834aabe), TOBN(0x84deb124, 0x8439b7fc), - TOBN(0x8796f169, 0x3c2a5998), TOBN(0x9b9247b4, 0x7947190d), - TOBN(0x55b9d9a5, 0x11597014), TOBN(0x7e9dd70d, 0x7b1566ee), - TOBN(0x94ad78f7, 0xcbcd5e64), TOBN(0x0359ac17, 0x9bd4c032), - TOBN(0x3b11baaf, 0x7cc222ae), TOBN(0xa6a6e284, 0xba78e812), - TOBN(0x8392053f, 0x24cea1a0), TOBN(0xc97bce4a, 0x33621491), - TOBN(0x7eb1db34, 0x35399ee9), TOBN(0x473f78ef, 0xece81ad1), - TOBN(0x41d72fe0, 0xf63d3d0d), TOBN(0xe620b880, 0xafab62fc), - TOBN(0x92096bc9, 0x93158383), TOBN(0x41a21357, 0x8f896f6c), - TOBN(0x1b5ee2fa, 0xc7dcfcab), TOBN(0x650acfde, 0x9546e007), - TOBN(0xc081b749, 0xb1b02e07), TOBN(0xda9e41a0, 0xf9eca03d), - TOBN(0x013ba727, 0x175a54ab), TOBN(0xca0cd190, 0xea5d8d10), - TOBN(0x85ea52c0, 0x95fd96a9), TOBN(0x2c591b9f, 0xbc5c3940), - TOBN(0x6fb4d4e4, 0x2bad4d5f), TOBN(0xfa4c3590, 0xfef0059b), - TOBN(0x6a10218a, 0xf5122294), TOBN(0x9a78a81a, 0xa85751d1), - TOBN(0x04f20579, 0xa98e84e7), TOBN(0xfe1242c0, 0x4997e5b5), - TOBN(0xe77a273b, 0xca21e1e4), TOBN(0xfcc8b1ef, 0x9411939d), - TOBN(0xe20ea302, 0x92d0487a), TOBN(0x1442dbec, 0x294b91fe), - TOBN(0x1f7a4afe, 0xbb6b0e8f), TOBN(0x1700ef74, 0x6889c318), - TOBN(0xf5bbffc3, 0x70f1fc62), TOBN(0x3b31d4b6, 0x69c79cca), - TOBN(0xe8bc2aab, 0xa7f6340d), TOBN(0xb0b08ab4, 0xa725e10a), - TOBN(0x44f05701, 0xae340050), TOBN(0xba4b3016, 0x1cf0c569), - TOBN(0x5aa29f83, 0xfbe19a51), TOBN(0x1b9ed428, 0xb71d752e), - TOBN(0x1666e54e, 0xeb4819f5), TOBN(0x616cdfed, 0x9e18b75b), - TOBN(0x112ed5be, 0x3ee27b0b), TOBN(0xfbf28319, 0x44c7de4d), - 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TOBN(0xd88edae3, 0x5e154897), TOBN(0xe4309c3c, 0x77b66ca0), - TOBN(0xf5555805, 0xf67f3746), TOBN(0x85fc37ba, 0xa36401ff), - TOBN(0xdf86e2ca, 0xd9499a53), TOBN(0x6270b2a3, 0xecbc955b), - TOBN(0xafae64f5, 0x974ad33b), TOBN(0x04d85977, 0xfe7b2df1), - TOBN(0x2a3db3ff, 0x4ab03f73), TOBN(0x0b87878a, 0x8702740a), - TOBN(0x6d263f01, 0x5a061732), TOBN(0xc25430ce, 0xa32a1901), - TOBN(0xf7ebab3d, 0xdb155018), TOBN(0x3a86f693, 0x63a9b78e), - TOBN(0x349ae368, 0xda9f3804), TOBN(0x470f07fe, 0xa164349c), - TOBN(0xd52f4cc9, 0x8562baa5), TOBN(0xc74a9e86, 0x2b290df3), - TOBN(0xd3a1aa35, 0x43471a24), TOBN(0x239446be, 0xb8194511), - TOBN(0xbec2dd00, 0x81dcd44d), TOBN(0xca3d7f0f, 0xc42ac82d), - TOBN(0x1f3db085, 0xfdaf4520), TOBN(0xbb6d3e80, 0x4549daf2), - TOBN(0xf5969d8a, 0x19ad5c42), TOBN(0x7052b13d, 0xdbfd1511), - TOBN(0x11890d1b, 0x682b9060), TOBN(0xa71d3883, 0xac34452c), - TOBN(0xa438055b, 0x783805b4), TOBN(0x43241277, 0x4725b23e), - TOBN(0xf20cf96e, 0x4901bbed), TOBN(0x6419c710, 0xf432a2bb), - TOBN(0x57a0fbb9, 0xdfa9cd7d), TOBN(0x589111e4, 0x00daa249), - TOBN(0x19809a33, 0x7b60554e), TOBN(0xea5f8887, 0xede283a4), - TOBN(0x2d713802, 0x503bfd35), TOBN(0x151bb0af, 0x585d2a53), - TOBN(0x40b08f74, 0x43b30ca8), TOBN(0xe10b5bba, 0xd9934583), - TOBN(0xe8a546d6, 0xb51110ad), TOBN(0x1dd50e66, 0x28e0b6c5), - TOBN(0x292e9d54, 0xcff2b821), TOBN(0x3882555d, 0x47281760), - TOBN(0x134838f8, 0x3724d6e3), TOBN(0xf2c679e0, 0x22ddcda1), - TOBN(0x40ee8815, 0x6d2a5768), TOBN(0x7f227bd2, 0x1c1e7e2d), - TOBN(0x487ba134, 0xd04ff443), TOBN(0x76e2ff3d, 0xc614e54b), - TOBN(0x36b88d6f, 0xa3177ec7), TOBN(0xbf731d51, 0x2328fff5), - TOBN(0x758caea2, 0x49ba158e), TOBN(0x5ab8ff4c, 0x02938188), - TOBN(0x33e16056, 0x35edc56d), TOBN(0x5a69d349, 0x7e940d79), - TOBN(0x6c4fd001, 0x03866dcb), TOBN(0x20a38f57, 0x4893cdef), - TOBN(0xfbf3e790, 0xfac3a15b), TOBN(0x6ed7ea2e, 0x7a4f8e6b), - TOBN(0xa663eb4f, 0xbc3aca86), TOBN(0x22061ea5, 0x080d53f7), - TOBN(0x2480dfe6, 0xf546783f), TOBN(0xd38bc6da, 0x5a0a641e), - TOBN(0xfb093cd1, 0x2ede8965), TOBN(0x89654db4, 0xacb455cf), - TOBN(0x413cbf9a, 0x26e1adee), TOBN(0x291f3764, 0x373294d4), - TOBN(0x00797257, 0x648083fe), TOBN(0x25f504d3, 0x208cc341), - TOBN(0x635a8e5e, 0xc3a0ee43), TOBN(0x70aaebca, 0x679898ff), - TOBN(0x9ee9f547, 0x5dc63d56), TOBN(0xce987966, 0xffb34d00), - TOBN(0xf9f86b19, 0x5e26310a), TOBN(0x9e435484, 0x382a8ca8), - TOBN(0x253bcb81, 0xc2352fe4), TOBN(0xa4eac8b0, 0x4474b571), - TOBN(0xc1b97512, 0xc1ad8cf8), TOBN(0x193b4e9e, 0x99e0b697), - TOBN(0x939d2716, 0x01e85df0), TOBN(0x4fb265b3, 0xcd44eafd), - TOBN(0x321e7dcd, 0xe51e1ae2), TOBN(0x8e3a8ca6, 0xe3d8b096), - TOBN(0x8de46cb0, 0x52604998), TOBN(0x91099ad8, 0x39072aa7), - TOBN(0x2617f91c, 0x93aa96b8), TOBN(0x0fc8716b, 0x7fca2e13), - TOBN(0xa7106f5e, 0x95328723), TOBN(0xd1c9c40b, 0x262e6522), - TOBN(0xb9bafe86, 0x42b7c094), TOBN(0x1873439d, 0x1543c021), - TOBN(0xe1baa5de, 0x5cbefd5d), TOBN(0xa363fc5e, 0x521e8aff), - TOBN(0xefe6320d, 0xf862eaac), TOBN(0x14419c63, 0x22c647dc), - TOBN(0x0e06707c, 0x4e46d428), TOBN(0xcb6c834f, 0x4a178f8f), - TOBN(0x0f993a45, 0xd30f917c), TOBN(0xd4c4b049, 0x9879afee), - TOBN(0xb6142a1e, 0x70500063), TOBN(0x7c9b41c3, 0xa5d9d605), - TOBN(0xbc00fc2f, 0x2f8ba2c7), TOBN(0x0966eb2f, 0x7c67aa28), - TOBN(0x13f7b516, 0x5a786972), TOBN(0x3bfb7557, 0x8a2fbba0), - TOBN(0x131c4f23, 0x5a2b9620), TOBN(0xbff3ed27, 0x6faf46be), - TOBN(0x9b4473d1, 0x7e172323), TOBN(0x421e8878, 0x339f6246), - TOBN(0x0fa8587a, 0x25a41632), TOBN(0xc0814124, 0xa35b6c93), - TOBN(0x2b18a9f5, 0x59ebb8db), TOBN(0x264e3357, 0x76edb29c), - TOBN(0xaf245ccd, 0xc87c51e2), TOBN(0x16b3015b, 0x501e6214), - TOBN(0xbb31c560, 0x0a3882ce), TOBN(0x6961bb94, 0xfec11e04), - TOBN(0x3b825b8d, 0xeff7a3a0), TOBN(0xbec33738, 0xb1df7326), - TOBN(0x68ad747c, 0x99604a1f), TOBN(0xd154c934, 0x9a3bd499), - TOBN(0xac33506f, 0x1cc7a906), TOBN(0x73bb5392, 0x6c560e8f), - TOBN(0x6428fcbe, 0x263e3944), TOBN(0xc11828d5, 0x1c387434), - TOBN(0x3cd04be1, 0x3e4b12ff), TOBN(0xc3aad9f9, 0x2d88667c), - TOBN(0xc52ddcf8, 0x248120cf), TOBN(0x985a892e, 0x2a389532), - TOBN(0xfbb4b21b, 0x3bb85fa0), TOBN(0xf95375e0, 0x8dfc6269), - TOBN(0xfb4fb06c, 0x7ee2acea), TOBN(0x6785426e, 0x309c4d1f), - TOBN(0x659b17c8, 0xd8ceb147), TOBN(0x9b649eee, 0xb70a5554), - TOBN(0x6b7fa0b5, 0xac6bc634), TOBN(0xd99fe2c7, 0x1d6e732f), - TOBN(0x30e6e762, 0x8d3abba2), TOBN(0x18fee6e7, 0xa797b799), - TOBN(0x5c9d360d, 0xc696464d), TOBN(0xe3baeb48, 0x27bfde12), - TOBN(0x2bf5db47, 0xf23206d5), TOBN(0x2f6d3420, 0x1d260152), - TOBN(0x17b87653, 0x3f8ff89a), TOBN(0x5157c30c, 0x378fa458), - TOBN(0x7517c5c5, 0x2d4fb936), TOBN(0xef22f7ac, 0xe6518cdc), - TOBN(0xdeb483e6, 0xbf847a64), TOBN(0xf5084558, 0x92e0fa89),} - , - {TOBN(0xab9659d8, 0xdf7304d4), TOBN(0xb71bcf1b, 0xff210e8e), - TOBN(0xa9a2438b, 0xd73fbd60), TOBN(0x4595cd1f, 0x5d11b4de), - TOBN(0x9c0d329a, 0x4835859d), TOBN(0x4a0f0d2d, 0x7dbb6e56), - TOBN(0xc6038e5e, 0xdf928a4e), TOBN(0xc9429621, 0x8f5ad154), - TOBN(0x91213462, 0xf23f2d92), TOBN(0x6cab71bd, 0x60b94078), - TOBN(0x6bdd0a63, 0x176cde20), TOBN(0x54c9b20c, 0xee4d54bc), - TOBN(0x3cd2d8aa, 0x9f2ac02f), TOBN(0x03f8e617, 0x206eedb0), - TOBN(0xc7f68e16, 0x93086434), TOBN(0x831469c5, 0x92dd3db9), - TOBN(0x8521df24, 0x8f981354), TOBN(0x587e23ec, 0x3588a259), - TOBN(0xcbedf281, 0xd7a0992c), TOBN(0x06930a55, 0x38961407), - 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TOBN(0xf19c5c01, 0xb2eaa3af), TOBN(0x2ccb9b14, 0x9790accf), - TOBN(0x1f9c1cad, 0x52324aa6), TOBN(0x63200526, 0x7247df54), - TOBN(0x5732fe42, 0xbac96f82), TOBN(0x52fe771f, 0x01a1c384), - TOBN(0x546ca13d, 0xb1001684), TOBN(0xb56b4eee, 0xa1709f75), - TOBN(0x266545a9, 0xd5db8672), TOBN(0xed971c90, 0x1e8f3cfb), - TOBN(0x4e7d8691, 0xe3a07b29), TOBN(0x7570d9ec, 0xe4b696b9), - TOBN(0xdc5fa067, 0x7bc7e9ae), TOBN(0x68b44caf, 0xc82c4844), - TOBN(0x519d34b3, 0xbf44da80), TOBN(0x283834f9, 0x5ab32e66), - TOBN(0x6e608797, 0x6278a000), TOBN(0x1e62960e, 0x627312f6), - TOBN(0x9b87b27b, 0xe6901c55), TOBN(0x80e78538, 0x24fdbc1f), - TOBN(0xbbbc0951, 0x2facc27d), TOBN(0x06394239, 0xac143b5a), - TOBN(0x35bb4a40, 0x376c1944), TOBN(0x7cb62694, 0x63da1511), - TOBN(0xafd29161, 0xb7148a3b), TOBN(0xa6f9d9ed, 0x4e2ea2ee), - TOBN(0x15dc2ca2, 0x880dd212), TOBN(0x903c3813, 0xa61139a9), - TOBN(0x2aa7b46d, 0x6c0f8785), TOBN(0x36ce2871, 0x901c60ff), - TOBN(0xc683b028, 0xe10d9c12), TOBN(0x7573baa2, 0x032f33d3), - TOBN(0x87a9b1f6, 0x67a31b58), TOBN(0xfd3ed11a, 0xf4ffae12), - 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TOBN(0x03f39a8d, 0xd150892d), TOBN(0x37b84686, 0x218b7985), - TOBN(0x36296dd8, 0xb7375f1a), TOBN(0x472cd4b1, 0xb78e898e), - TOBN(0x15dff651, 0xe9f05de9), TOBN(0xd4045069, 0x2ce98ba9), - TOBN(0x8466a7ae, 0x9b38024c), TOBN(0xb910e700, 0xe5a6b5ef), - TOBN(0xae1c56ea, 0xb3aa8f0d), TOBN(0xbab2a507, 0x7eee74a6), - TOBN(0x0dca11e2, 0x4b4c4620), TOBN(0xfd896e2e, 0x4c47d1f4), - TOBN(0xeb45ae53, 0x308fbd93), TOBN(0x46cd5a2e, 0x02c36fda), - TOBN(0x6a3d4e90, 0xbaa48385), TOBN(0xdd55e62e, 0x9dbe9960), - TOBN(0xa1406aa0, 0x2a81ede7), TOBN(0x6860dd14, 0xf9274ea7), - TOBN(0xcfdcb0c2, 0x80414f86), TOBN(0xff410b10, 0x22f94327), - TOBN(0x5a33cc38, 0x49ad467b), TOBN(0xefb48b6c, 0x0a7335f1), - TOBN(0x14fb54a4, 0xb153a360), TOBN(0x604aa9d2, 0xb52469cc), - TOBN(0x5e9dc486, 0x754e48e9), TOBN(0x693cb455, 0x37471e8e), - TOBN(0xfb2fd7cd, 0x8d3b37b6), TOBN(0x63345e16, 0xcf09ff07), - TOBN(0x9910ba6b, 0x23a5d896), TOBN(0x1fe19e35, 0x7fe4364e), - TOBN(0x6e1da8c3, 0x9a33c677), TOBN(0x15b4488b, 0x29fd9fd0), - TOBN(0x1f439254, 0x1a1f22bf), TOBN(0x920a8a70, 0xab8163e8), - TOBN(0x3fd1b249, 0x07e5658e), TOBN(0xf2c4f79c, 0xb6ec839b), - TOBN(0x1abbc3d0, 0x4aa38d1b), TOBN(0x3b0db35c, 0xb5d9510e), - TOBN(0x1754ac78, 0x3e60dec0), TOBN(0x53272fd7, 0xea099b33), - TOBN(0x5fb0494f, 0x07a8e107), TOBN(0x4a89e137, 0x6a8191fa), - TOBN(0xa113b7f6, 0x3c4ad544), TOBN(0x88a2e909, 0x6cb9897b), - TOBN(0x17d55de3, 0xb44a3f84), TOBN(0xacb2f344, 0x17c6c690), - TOBN(0x32088168, 0x10232390), TOBN(0xf2e8a61f, 0x6c733bf7), - TOBN(0xa774aab6, 0x9c2d7652), TOBN(0xfb5307e3, 0xed95c5bc), - TOBN(0xa05c73c2, 0x4981f110), TOBN(0x1baae31c, 0xa39458c9), - TOBN(0x1def185b, 0xcbea62e7), TOBN(0xe8ac9eae, 0xeaf63059), - TOBN(0x098a8cfd, 0x9921851c), TOBN(0xd959c3f1, 0x3abe2f5b), - TOBN(0xa4f19525, 0x20e40ae5), TOBN(0x320789e3, 0x07a24aa1), - TOBN(0x259e6927, 0x7392b2bc), TOBN(0x58f6c667, 0x1918668b), - TOBN(0xce1db2bb, 0xc55d2d8b), TOBN(0x41d58bb7, 0xf4f6ca56), - TOBN(0x7650b680, 0x8f877614), TOBN(0x905e16ba, 0xf4c349ed), - TOBN(0xed415140, 0xf661acac), TOBN(0x3b8784f0, 0xcb2270af), - TOBN(0x3bc280ac, 0x8a402cba), TOBN(0xd53f7146, 0x0937921a), - TOBN(0xc03c8ee5, 0xe5681e83), TOBN(0x62126105, 0xf6ac9e4a), - TOBN(0x9503a53f, 0x936b1a38), TOBN(0x3d45e2d4, 0x782fecbd), - TOBN(0x69a5c439, 0x76e8ae98), TOBN(0xb53b2eeb, 0xbfb4b00e), - TOBN(0xf1674712, 0x72386c89), TOBN(0x30ca34a2, 0x4268bce4), - TOBN(0x7f1ed86c, 0x78341730), TOBN(0x8ef5beb8, 0xb525e248), - TOBN(0xbbc489fd, 0xb74fbf38), TOBN(0x38a92a0e, 0x91a0b382), - TOBN(0x7a77ba3f, 0x22433ccf), TOBN(0xde8362d6, 0xa29f05a9), - TOBN(0x7f6a30ea, 0x61189afc), TOBN(0x693b5505, 0x59ef114f), - TOBN(0x50266bc0, 0xcd1797a1), TOBN(0xea17b47e, 0xf4b7af2d), - TOBN(0xd6c4025c, 0x3df9483e), TOBN(0x8cbb9d9f, 0xa37b18c9), - TOBN(0x91cbfd9c, 0x4d8424cf), TOBN(0xdb7048f1, 0xab1c3506), - TOBN(0x9eaf641f, 0x028206a3), TOBN(0xf986f3f9, 0x25bdf6ce), - TOBN(0x262143b5, 0x224c08dc), TOBN(0x2bbb09b4, 0x81b50c91), - TOBN(0xc16ed709, 0xaca8c84f), TOBN(0xa6210d9d, 0xb2850ca8), - TOBN(0x6d8df67a, 0x09cb54d6), TOBN(0x91eef6e0, 0x500919a4), - TOBN(0x90f61381, 0x0f132857), TOBN(0x9acede47, 0xf8d5028b), - TOBN(0x844d1b71, 0x90b771c3), TOBN(0x563b71e4, 0xba6426be), - TOBN(0x2efa2e83, 0xbdb802ff), TOBN(0x3410cbab, 0xab5b4a41), - TOBN(0x555b2d26, 0x30da84dd), TOBN(0xd0711ae9, 0xee1cc29a), - TOBN(0xcf3e8c60, 0x2f547792), TOBN(0x03d7d5de, 0xdc678b35), - TOBN(0x071a2fa8, 0xced806b8), TOBN(0x222e6134, 0x697f1478), - TOBN(0xdc16fd5d, 0xabfcdbbf), TOBN(0x44912ebf, 0x121b53b8), - TOBN(0xac943674, 0x2496c27c), TOBN(0x8ea3176c, 0x1ffc26b0), - TOBN(0xb6e224ac, 0x13debf2c), TOBN(0x524cc235, 0xf372a832), - TOBN(0xd706e1d8, 0x9f6f1b18), TOBN(0x2552f005, 0x44cce35b), - TOBN(0x8c8326c2, 0xa88e31fc), TOBN(0xb5468b2c, 0xf9552047), - TOBN(0xce683e88, 0x3ff90f2b), TOBN(0x77947bdf, 0x2f0a5423), - TOBN(0xd0a1b28b, 0xed56e328), TOBN(0xaee35253, 0xc20134ac), - TOBN(0x7e98367d, 0x3567962f), TOBN(0x379ed61f, 0x8188bffb), - TOBN(0x73bba348, 0xfaf130a1), TOBN(0x6c1f75e1, 0x904ed734), - TOBN(0x18956642, 0x3b4a79fc), TOBN(0xf20bc83d, 0x54ef4493), - TOBN(0x836d425d, 0x9111eca1), TOBN(0xe5b5c318, 0x009a8dcf), - TOBN(0x3360b25d, 0x13221bc5), TOBN(0x707baad2, 0x6b3eeaf7), - TOBN(0xd7279ed8, 0x743a95a1), TOBN(0x7450a875, 0x969e809f), - TOBN(0x32b6bd53, 0xe5d0338f), TOBN(0x1e77f7af, 0x2b883bbc), - TOBN(0x90da12cc, 0x1063ecd0), TOBN(0xe2697b58, 0xc315be47), - TOBN(0x2771a5bd, 0xda85d534), TOBN(0x53e78c1f, 0xff980eea), - TOBN(0xadf1cf84, 0x900385e7), TOBN(0x7d3b14f6, 0xc9387b62), - TOBN(0x170e74b0, 0xcb8f2bd2), TOBN(0x2d50b486, 0x827fa993), - TOBN(0xcdbe8c9a, 0xf6f32bab), TOBN(0x55e906b0, 0xc3b93ab8), - TOBN(0x747f22fc, 0x8fe280d1), TOBN(0xcd8e0de5, 0xb2e114ab), - TOBN(0x5ab7dbeb, 0xe10b68b0), TOBN(0x9dc63a9c, 0xa480d4b2), - TOBN(0x78d4bc3b, 0x4be1495f), TOBN(0x25eb3db8, 0x9359122d), - TOBN(0x3f8ac05b, 0x0809cbdc), TOBN(0xbf4187bb, 0xd37c702f), - TOBN(0x84cea069, 0x1416a6a5), TOBN(0x8f860c79, 0x43ef881c), - TOBN(0x41311f8a, 0x38038a5d), TOBN(0xe78c2ec0, 0xfc612067), - TOBN(0x494d2e81, 0x5ad73581), TOBN(0xb4cc9e00, 0x59604097), - TOBN(0xff558aec, 0xf3612cba), TOBN(0x35beef7a, 0x9e36c39e), - TOBN(0x1845c7cf, 0xdbcf41b9), TOBN(0x5703662a, 0xaea997c0), - TOBN(0x8b925afe, 0xe402f6d8), TOBN(0xd0a1b1ae, 0x4dd72162), - TOBN(0x9f47b375, 0x03c41c4b), TOBN(0xa023829b, 0x0391d042), - TOBN(0x5f5045c3, 0x503b8b0a), TOBN(0x123c2688, 0x98c010e5), - TOBN(0x324ec0cc, 0x36ba06ee), TOBN(0xface3115, 0x3dd2cc0c), - TOBN(0xb364f3be, 0xf333e91f), TOBN(0xef8aff73, 0x28e832b0), - TOBN(0x1e9bad04, 0x2d05841b), TOBN(0x42f0e3df, 0x356a21e2), - TOBN(0xa3270bcb, 0x4add627e), TOBN(0xb09a8158, 0xd322e711), - TOBN(0x86e326a1, 0x0fee104a), TOBN(0xad7788f8, 0x3703f65d), - TOBN(0x7e765430, 0x47bc4833), TOBN(0x6cee582b, 0x2b9b893a), - TOBN(0x9cd2a167, 0xe8f55a7b), TOBN(0xefbee3c6, 0xd9e4190d), - TOBN(0x33ee7185, 0xd40c2e9d), TOBN(0x844cc9c5, 0xa380b548), - TOBN(0x323f8ecd, 0x66926e04), TOBN(0x0001e38f, 0x8110c1ba), - TOBN(0x8dbcac12, 0xfc6a7f07), TOBN(0xd65e1d58, 0x0cec0827), - TOBN(0xd2cd4141, 0xbe76ca2d), TOBN(0x7895cf5c, 0xe892f33a), - TOBN(0x956d230d, 0x367139d2), TOBN(0xa91abd3e, 0xd012c4c1), - TOBN(0x34fa4883, 0x87eb36bf), TOBN(0xc5f07102, 0x914b8fb4), - TOBN(0x90f0e579, 0xadb9c95f), TOBN(0xfe6ea8cb, 0x28888195), - TOBN(0x7b9b5065, 0xedfa9284), TOBN(0x6c510bd2, 0x2b8c8d65), - TOBN(0xd7b8ebef, 0xcbe8aafd), TOBN(0xedb3af98, 0x96b1da07), - TOBN(0x28ff779d, 0x6295d426), TOBN(0x0c4f6ac7, 0x3fa3ad7b), - TOBN(0xec44d054, 0x8b8e2604), TOBN(0x9b32a66d, 0x8b0050e1), - TOBN(0x1f943366, 0xf0476ce2), TOBN(0x7554d953, 0xa602c7b4), - TOBN(0xbe35aca6, 0x524f2809), TOBN(0xb6881229, 0xfd4edbea), - TOBN(0xe8cd0c8f, 0x508efb63), TOBN(0x9eb5b5c8, 0x6abcefc7), - TOBN(0xf5621f5f, 0xb441ab4f), TOBN(0x79e6c046, 0xb76a2b22), - TOBN(0x74a4792c, 0xe37a1f69), TOBN(0xcbd252cb, 0x03542b60), - TOBN(0x785f65d5, 0xb3c20bd3), TOBN(0x8dea6143, 0x4fabc60c), - TOBN(0x45e21446, 0xde673629), TOBN(0x57f7aa1e, 0x703c2d21), - TOBN(0xa0e99b7f, 0x98c868c7), TOBN(0x4e42f66d, 0x8b641676), - TOBN(0x602884dc, 0x91077896), TOBN(0xa0d690cf, 0xc2c9885b), - TOBN(0xfeb4da33, 0x3b9a5187), TOBN(0x5f789598, 0x153c87ee), - TOBN(0x2192dd47, 0x52b16dba), TOBN(0xdeefc0e6, 0x3524c1b1), - TOBN(0x465ea76e, 0xe4383693), TOBN(0x79401711, 0x361b8d98), - TOBN(0xa5f9ace9, 0xf21a15cb), TOBN(0x73d26163, 0xefee9aeb), - TOBN(0xcca844b3, 0xe677016c), TOBN(0x6c122b07, 0x57eaee06), - TOBN(0xb782dce7, 0x15f09690), TOBN(0x508b9b12, 0x2dfc0fc9), - TOBN(0x9015ab4b, 0x65d89fc6), TOBN(0x5e79dab7, 0xd6d5bb0f), - TOBN(0x64f021f0, 0x6c775aa2), TOBN(0xdf09d8cc, 0x37c7eca1), - TOBN(0x9a761367, 0xef2fa506), TOBN(0xed4ca476, 0x5b81eec6), - TOBN(0x262ede36, 0x10bbb8b5), TOBN(0x0737ce83, 0x0641ada3), - TOBN(0x4c94288a, 0xe9831ccc), TOBN(0x487fc1ce, 0x8065e635), - TOBN(0xb13d7ab3, 0xb8bb3659), TOBN(0xdea5df3e, 0x855e4120), - TOBN(0xb9a18573, 0x85eb0244), TOBN(0x1a1b8ea3, 0xa7cfe0a3), - TOBN(0x3b837119, 0x67b0867c), TOBN(0x8d5e0d08, 0x9d364520), - TOBN(0x52dccc1e, 0xd930f0e3), TOBN(0xefbbcec7, 0xbf20bbaf), - TOBN(0x99cffcab, 0x0263ad10), TOBN(0xd8199e6d, 0xfcd18f8a), - TOBN(0x64e2773f, 0xe9f10617), TOBN(0x0079e8e1, 0x08704848), - TOBN(0x1169989f, 0x8a342283), TOBN(0x8097799c, 0xa83012e6), - TOBN(0xece966cb, 0x8a6a9001), TOBN(0x93b3afef, 0x072ac7fc), - TOBN(0xe6893a2a, 0x2db3d5ba), TOBN(0x263dc462, 0x89bf4fdc), - TOBN(0x8852dfc9, 0xe0396673), TOBN(0x7ac70895, 0x3af362b6), - TOBN(0xbb9cce4d, 0x5c2f342b), TOBN(0xbf80907a, 0xb52d7aae), - TOBN(0x97f3d3cd, 0x2161bcd0), TOBN(0xb25b0834, 0x0962744d), - TOBN(0xc5b18ea5, 0x6c3a1dda), TOBN(0xfe4ec7eb, 0x06c92317), - TOBN(0xb787b890, 0xad1c4afe), TOBN(0xdccd9a92, 0x0ede801a), - TOBN(0x9ac6ddda, 0xdb58da1f), TOBN(0x22bbc12f, 0xb8cae6ee), - TOBN(0xc6f8bced, 0x815c4a43), TOBN(0x8105a92c, 0xf96480c7), - TOBN(0x0dc3dbf3, 0x7a859d51), TOBN(0xe3ec7ce6, 0x3041196b), - TOBN(0xd9f64b25, 0x0d1067c9), TOBN(0xf2321321, 0x3d1f8dd8), - TOBN(0x8b5c619c, 0x76497ee8), TOBN(0x5d2b0ac6, 0xc717370e), - TOBN(0x98204cb6, 0x4fcf68e1), TOBN(0x0bdec211, 0x62bc6792), - TOBN(0x6973ccef, 0xa63b1011), TOBN(0xf9e3fa97, 0xe0de1ac5), - TOBN(0x5efb693e, 0x3d0e0c8b), TOBN(0x037248e9, 0xd2d4fcb4),} - , - {TOBN(0x80802dc9, 0x1ec34f9e), TOBN(0xd8772d35, 0x33810603), - TOBN(0x3f06d66c, 0x530cb4f3), TOBN(0x7be5ed0d, 0xc475c129), - TOBN(0xcb9e3c19, 0x31e82b10), TOBN(0xc63d2857, 0xc9ff6b4c), - TOBN(0xb92118c6, 0x92a1b45e), TOBN(0x0aec4414, 0x7285bbca), - TOBN(0xfc189ae7, 0x1e29a3ef), TOBN(0xcbe906f0, 0x4c93302e), - TOBN(0xd0107914, 0xceaae10e), TOBN(0xb7a23f34, 0xb68e19f8), - TOBN(0xe9d875c2, 0xefd2119d), TOBN(0x03198c6e, 0xfcadc9c8), - 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TOBN(0x02e23d41, 0xdfc6514a), TOBN(0x35e8048e, 0xe03c3665), - TOBN(0x3f8b118f, 0x1adaa0f8), TOBN(0x28ec3b45, 0x84ce1a5a), - TOBN(0xe8cacc6e, 0x2c6646b8), TOBN(0x1343d185, 0xdbd0e40f), - TOBN(0xe5d7f844, 0xcaaa358c), TOBN(0x1a1db7e4, 0x9924182a), - TOBN(0xd64cd42d, 0x9c875d9a), TOBN(0xb37b515f, 0x042eeec8), - TOBN(0x4d4dd409, 0x7b165fbe), TOBN(0xfc322ed9, 0xe206eff3), - TOBN(0x7dee4102, 0x59b7e17e), TOBN(0x55a481c0, 0x8236ca00), - TOBN(0x8c885312, 0xc23fc975), TOBN(0x15715806, 0x05d6297b), - TOBN(0xa078868e, 0xf78edd39), TOBN(0x956b31e0, 0x03c45e52), - TOBN(0x470275d5, 0xff7b33a6), TOBN(0xc8d5dc3a, 0x0c7e673f), - TOBN(0x419227b4, 0x7e2f2598), TOBN(0x8b37b634, 0x4c14a975), - TOBN(0xd0667ed6, 0x8b11888c), TOBN(0x5e0e8c3e, 0x803e25dc), - TOBN(0x34e5d0dc, 0xb987a24a), TOBN(0x9f40ac3b, 0xae920323), - TOBN(0x5463de95, 0x34e0f63a), TOBN(0xa128bf92, 0x6b6328f9), - TOBN(0x491ccd7c, 0xda64f1b7), TOBN(0x7ef1ec27, 0xc47bde35), - TOBN(0xa857240f, 0xa36a2737), TOBN(0x35dc1366, 0x63621bc1), - TOBN(0x7a3a6453, 0xd4fb6897), TOBN(0x80f1a439, 0xc929319d), - TOBN(0xfc18274b, 0xf8cb0ba0), TOBN(0xb0b53766, 0x8078c5eb), - TOBN(0xfb0d4924, 0x1e01d0ef), TOBN(0x50d7c67d, 0x372ab09c), - TOBN(0xb4e370af, 0x3aeac968), TOBN(0xe4f7fee9, 0xc4b63266), - TOBN(0xb4acd4c2, 0xe3ac5664), TOBN(0xf8910bd2, 0xceb38cbf), - TOBN(0x1c3ae50c, 0xc9c0726e), TOBN(0x15309569, 0xd97b40bf), - TOBN(0x70884b7f, 0xfd5a5a1b), TOBN(0x3890896a, 0xef8314cd), - TOBN(0x58e1515c, 0xa5618c93), TOBN(0xe665432b, 0x77d942d1), - TOBN(0xb32181bf, 0xb6f767a8), TOBN(0x753794e8, 0x3a604110), - TOBN(0x09afeb7c, 0xe8c0dbcc), TOBN(0x31e02613, 0x598673a3), - TOBN(0x5d98e557, 0x7d46db00), TOBN(0xfc21fb8c, 0x9d985b28), - TOBN(0xc9040116, 0xb0843e0b), TOBN(0x53b1b3a8, 0x69b04531), - TOBN(0xdd1649f0, 0x85d7d830), TOBN(0xbb3bcc87, 0xcb7427e8), - TOBN(0x77261100, 0xc93dce83), TOBN(0x7e79da61, 0xa1922a2a), - TOBN(0x587a2b02, 0xf3149ce8), TOBN(0x147e1384, 0xde92ec83), - TOBN(0x484c83d3, 0xaf077f30), TOBN(0xea78f844, 0x0658b53a), - TOBN(0x912076c2, 0x027aec53), TOBN(0xf34714e3, 0x93c8177d), - TOBN(0x37ef5d15, 0xc2376c84), TOBN(0x8315b659, 0x3d1aa783), - 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TOBN(0x9347a8fd, 0xbfcd8fb5), TOBN(0x31db2eef, 0x6e54cd22), - TOBN(0xc4aeb11e, 0xf8d8932f), TOBN(0x11e7c1ed, 0x344411af), - TOBN(0x2653050c, 0xdc9a151e), TOBN(0x9edbfc08, 0x3bb0a859), - TOBN(0x926c81c7, 0xfd5691e7), TOBN(0x9c1b2342, 0x6f39019a), - TOBN(0x64a81c8b, 0x7f8474b9), TOBN(0x90657c07, 0x01761819), - TOBN(0x390b3331, 0x55e0375a), TOBN(0xc676c626, 0xb6ebc47d), - TOBN(0x51623247, 0xb7d6dee8), TOBN(0x0948d927, 0x79659313), - TOBN(0x99700161, 0xe9ab35ed), TOBN(0x06cc32b4, 0x8ddde408), - TOBN(0x6f2fd664, 0x061ef338), TOBN(0x1606fa02, 0xc202e9ed), - TOBN(0x55388bc1, 0x929ba99b), TOBN(0xc4428c5e, 0x1e81df69), - TOBN(0xce2028ae, 0xf91b0b2a), TOBN(0xce870a23, 0xf03dfd3f), - TOBN(0x66ec2c87, 0x0affe8ed), TOBN(0xb205fb46, 0x284d0c00), - TOBN(0xbf5dffe7, 0x44cefa48), TOBN(0xb6fc37a8, 0xa19876d7), - TOBN(0xbecfa84c, 0x08b72863), TOBN(0xd7205ff5, 0x2576374f), - TOBN(0x80330d32, 0x8887de41), TOBN(0x5de0df0c, 0x869ea534), - TOBN(0x13f42753, 0x3c56ea17), TOBN(0xeb1f6069, 0x452b1a78), - TOBN(0x50474396, 0xe30ea15c), TOBN(0x575816a1, 0xc1494125), - TOBN(0xbe1ce55b, 0xfe6bb38f), TOBN(0xb901a948, 0x96ae30f7), - TOBN(0xe5af0f08, 0xd8fc3548), TOBN(0x5010b5d0, 0xd73bfd08), - TOBN(0x993d2880, 0x53fe655a), TOBN(0x99f2630b, 0x1c1309fd), - TOBN(0xd8677baf, 0xb4e3b76f), TOBN(0x14e51ddc, 0xb840784b), - TOBN(0x326c750c, 0xbf0092ce), TOBN(0xc83d306b, 0xf528320f), - TOBN(0xc4456715, 0x77d4715c), TOBN(0xd30019f9, 0x6b703235), - TOBN(0x207ccb2e, 0xd669e986), TOBN(0x57c824af, 0xf6dbfc28), - TOBN(0xf0eb532f, 0xd8f92a23), TOBN(0x4a557fd4, 0x9bb98fd2), - TOBN(0xa57acea7, 0xc1e6199a), TOBN(0x0c663820, 0x8b94b1ed), - TOBN(0x9b42be8f, 0xf83a9266), TOBN(0xc7741c97, 0x0101bd45), - TOBN(0x95770c11, 0x07bd9ceb), TOBN(0x1f50250a, 0x8b2e0744), - TOBN(0xf762eec8, 0x1477b654), TOBN(0xc65b900e, 0x15efe59a), - TOBN(0x88c96148, 0x9546a897), TOBN(0x7e8025b3, 0xc30b4d7c), - TOBN(0xae4065ef, 0x12045cf9), TOBN(0x6fcb2caf, 0x9ccce8bd), - TOBN(0x1fa0ba4e, 0xf2cf6525), TOBN(0xf683125d, 0xcb72c312), - TOBN(0xa01da4ea, 0xe312410e), TOBN(0x67e28677, 0x6cd8e830), - TOBN(0xabd95752, 0x98fb3f07), TOBN(0x05f11e11, 0xeef649a5), - TOBN(0xba47faef, 0x9d3472c2), TOBN(0x3adff697, 0xc77d1345), - TOBN(0x4761fa04, 0xdd15afee), TOBN(0x64f1f61a, 0xb9e69462), - TOBN(0xfa691fab, 0x9bfb9093), TOBN(0x3df8ae8f, 0xa1133dfe), - TOBN(0xcd5f8967, 0x58cc710d), TOBN(0xfbb88d50, 0x16c7fe79), - TOBN(0x8e011b4c, 0xe88c50d1), TOBN(0x7532e807, 0xa8771c4f), - TOBN(0x64c78a48, 0xe2278ee4), TOBN(0x0b283e83, 0x3845072a), - TOBN(0x98a6f291, 0x49e69274), TOBN(0xb96e9668, 0x1868b21c), - TOBN(0x38f0adc2, 0xb1a8908e), TOBN(0x90afcff7, 0x1feb829d), - TOBN(0x9915a383, 0x210b0856), TOBN(0xa5a80602, 0xdef04889), - TOBN(0x800e9af9, 0x7c64d509), TOBN(0x81382d0b, 0xb8996f6f), - TOBN(0x490eba53, 0x81927e27), TOBN(0x46c63b32, 0x4af50182), - TOBN(0x784c5fd9, 0xd3ad62ce), TOBN(0xe4fa1870, 0xf8ae8736), - TOBN(0x4ec9d0bc, 0xd7466b25), TOBN(0x84ddbe1a, 0xdb235c65), - TOBN(0x5e2645ee, 0x163c1688), TOBN(0x570bd00e, 0x00eba747), - TOBN(0xfa51b629, 0x128bfa0f), TOBN(0x92fce1bd, 0x6c1d3b68), - TOBN(0x3e7361dc, 0xb66778b1), TOBN(0x9c7d249d, 0x5561d2bb), - TOBN(0xa40b28bf, 0x0bbc6229), TOBN(0x1c83c05e, 0xdfd91497), - TOBN(0x5f9f5154, 0xf083df05), TOBN(0xbac38b3c, 0xeee66c9d), - TOBN(0xf71db7e3, 0xec0dfcfd), TOBN(0xf2ecda8e, 0x8b0a8416), - TOBN(0x52fddd86, 0x7812aa66), TOBN(0x2896ef10, 0x4e6f4272), - TOBN(0xff27186a, 0x0fe9a745), TOBN(0x08249fcd, 0x49ca70db), - TOBN(0x7425a2e6, 0x441cac49), TOBN(0xf4a0885a, 0xece5ff57), - TOBN(0x6e2cb731, 0x7d7ead58), TOBN(0xf96cf7d6, 0x1898d104), - TOBN(0xafe67c9d, 0x4f2c9a89), TOBN(0x89895a50, 0x1c7bf5bc), - TOBN(0xdc7cb8e5, 0x573cecfa), TOBN(0x66497eae, 0xd15f03e6), - TOBN(0x6bc0de69, 0x3f084420), TOBN(0x323b9b36, 0xacd532b0), - TOBN(0xcfed390a, 0x0115a3c1), TOBN(0x9414c40b, 0x2d65ca0e), - TOBN(0x641406bd, 0x2f530c78), TOBN(0x29369a44, 0x833438f2), - TOBN(0x996884f5, 0x903fa271), TOBN(0xe6da0fd2, 0xb9da921e), - TOBN(0xa6f2f269, 0x5db01e54), TOBN(0x1ee3e9bd, 0x6876214e), - TOBN(0xa26e181c, 0xe27a9497), TOBN(0x36d254e4, 0x8e215e04), - TOBN(0x42f32a6c, 0x252cabca), TOBN(0x99481487, 0x80b57614), - TOBN(0x4c4dfe69, 0x40d9cae1), TOBN(0x05869580, 0x11a10f09), - TOBN(0xca287b57, 0x3491b64b), TOBN(0x77862d5d, 0x3fd4a53b), - TOBN(0xbf94856e, 0x50349126), TOBN(0x2be30bd1, 0x71c5268f), - TOBN(0x10393f19, 0xcbb650a6), TOBN(0x639531fe, 0x778cf9fd), - TOBN(0x02556a11, 0xb2935359), TOBN(0xda38aa96, 0xaf8c126e), - TOBN(0x47dbe6c2, 0x0960167f), TOBN(0x37bbabb6, 0x501901cd), - TOBN(0xb6e979e0, 0x2c947778), TOBN(0xd69a5175, 0x7a1a1dc6), - TOBN(0xc3ed5095, 0x9d9faf0c), TOBN(0x4dd9c096, 0x1d5fa5f0), - TOBN(0xa0c4304d, 0x64f16ea8), TOBN(0x8b1cac16, 0x7e718623), - TOBN(0x0b576546, 0x7c67f03e), TOBN(0x559cf5ad, 0xcbd88c01), - TOBN(0x074877bb, 0x0e2af19a), TOBN(0x1f717ec1, 0xa1228c92), - TOBN(0x70bcb800, 0x326e8920), TOBN(0xec6e2c5c, 0x4f312804), - TOBN(0x426aea7d, 0x3fca4752), TOBN(0xf12c0949, 0x2211f62a), - TOBN(0x24beecd8, 0x7be7b6b5), TOBN(0xb77eaf4c, 0x36d7a27d), - TOBN(0x154c2781, 0xfda78fd3), TOBN(0x848a83b0, 0x264eeabe), - TOBN(0x81287ef0, 0x4ffe2bc4), TOBN(0x7b6d88c6, 0xb6b6fc2a), - TOBN(0x805fb947, 0xce417d99), TOBN(0x4b93dcc3, 0x8b916cc4), - TOBN(0x72e65bb3, 0x21273323), TOBN(0xbcc1badd, 0x6ea9886e), - TOBN(0x0e223011, 0x4bc5ee85), TOBN(0xa561be74, 0xc18ee1e4), - TOBN(0x762fd2d4, 0xa6bcf1f1), TOBN(0x50e6a5a4, 0x95231489), - TOBN(0xca96001f, 0xa00b500b), TOBN(0x5c098cfc, 0x5d7dcdf5), - TOBN(0xa64e2d2e, 0x8c446a85), TOBN(0xbae9bcf1, 0x971f3c62), - TOBN(0x4ec22683, 0x8435a2c5), TOBN(0x8ceaed6c, 0x4bad4643), - TOBN(0xe9f8fb47, 0xccccf4e3), TOBN(0xbd4f3fa4, 0x1ce3b21e), - TOBN(0xd79fb110, 0xa3db3292), TOBN(0xe28a37da, 0xb536c66a), - TOBN(0x279ce87b, 0x8e49e6a9), TOBN(0x70ccfe8d, 0xfdcec8e3), - TOBN(0x2193e4e0, 0x3ba464b2), TOBN(0x0f39d60e, 0xaca9a398), - TOBN(0x7d7932af, 0xf82c12ab), TOBN(0xd8ff50ed, 0x91e7e0f7), - TOBN(0xea961058, 0xfa28a7e0), TOBN(0xc726cf25, 0x0bf5ec74), - TOBN(0xe74d55c8, 0xdb229666), TOBN(0x0bd9abbf, 0xa57f5799), - TOBN(0x7479ef07, 0x4dfc47b3), TOBN(0xd9c65fc3, 0x0c52f91d), - TOBN(0x8e0283fe, 0x36a8bde2), TOBN(0xa32a8b5e, 0x7d4b7280), - TOBN(0x6a677c61, 0x12e83233), TOBN(0x0fbb3512, 0xdcc9bf28), - TOBN(0x562e8ea5, 0x0d780f61), TOBN(0x0db8b22b, 0x1dc4e89c), - TOBN(0x0a6fd1fb, 0x89be0144), TOBN(0x8c77d246, 0xca57113b), - TOBN(0x4639075d, 0xff09c91c), TOBN(0x5b47b17f, 0x5060824c), - TOBN(0x58aea2b0, 0x16287b52), TOBN(0xa1343520, 0xd0cd8eb0), - TOBN(0x6148b4d0, 0xc5d58573), TOBN(0xdd2b6170, 0x291c68ae), - TOBN(0xa61b3929, 0x1da3b3b7), TOBN(0x5f946d79, 0x08c4ac10), - TOBN(0x4105d4a5, 0x7217d583), TOBN(0x5061da3d, 0x25e6de5e), - TOBN(0x3113940d, 0xec1b4991), TOBN(0xf12195e1, 0x36f485ae), - TOBN(0xa7507fb2, 0x731a2ee0), TOBN(0x95057a8e, 0x6e9e196e), - TOBN(0xa3c2c911, 0x2e130136), TOBN(0x97dfbb36, 0x33c60d15), - TOBN(0xcaf3c581, 0xb300ee2b), TOBN(0x77f25d90, 0xf4bac8b8), - TOBN(0xdb1c4f98, 0x6d840cd6), TOBN(0x471d62c0, 0xe634288c), - TOBN(0x8ec2f85e, 0xcec8a161), TOBN(0x41f37cbc, 0xfa6f4ae2), - TOBN(0x6793a20f, 0x4b709985), TOBN(0x7a7bd33b, 0xefa8985b), - TOBN(0x2c6a3fbd, 0x938e6446), TOBN(0x19042619, 0x2a8d47c1), - TOBN(0x16848667, 0xcc36975f), TOBN(0x02acf168, 0x9d5f1dfb), - TOBN(0x62d41ad4, 0x613baa94), TOBN(0xb56fbb92, 0x9f684670), - TOBN(0xce610d0d, 0xe9e40569), TOBN(0x7b99c65f, 0x35489fef), - TOBN(0x0c88ad1b, 0x3df18b97), TOBN(0x81b7d9be, 0x5d0e9edb), - TOBN(0xd85218c0, 0xc716cc0a), TOBN(0xf4b5ff90, 0x85691c49), - TOBN(0xa4fd666b, 0xce356ac6), TOBN(0x17c72895, 0x4b327a7a), - TOBN(0xf93d5085, 0xda6be7de), TOBN(0xff71530e, 0x3301d34e), - TOBN(0x4cd96442, 0xd8f448e8), TOBN(0x9283d331, 0x2ed18ffa), - TOBN(0x4d33dd99, 0x2a849870), TOBN(0xa716964b, 0x41576335), - TOBN(0xff5e3a9b, 0x179be0e5), TOBN(0x5b9d6b1b, 0x83b13632), - TOBN(0x3b8bd7d4, 0xa52f313b), TOBN(0xc9dd95a0, 0x637a4660), - TOBN(0x30035962, 0x0b3e218f), TOBN(0xce1481a3, 0xc7b28a3c), - TOBN(0xab41b43a, 0x43228d83), TOBN(0x24ae1c30, 0x4ad63f99), - TOBN(0x8e525f1a, 0x46a51229), TOBN(0x14af860f, 0xcd26d2b4), - TOBN(0xd6baef61, 0x3f714aa1), TOBN(0xf51865ad, 0xeb78795e), - TOBN(0xd3e21fce, 0xe6a9d694), TOBN(0x82ceb1dd, 0x8a37b527)} -}; diff --git a/thirdparty/openssl/crypto/ec/ecp_oct.c b/thirdparty/openssl/crypto/ec/ecp_oct.c deleted file mode 100644 index 1bc3f39ad1..0000000000 --- a/thirdparty/openssl/crypto/ec/ecp_oct.c +++ /dev/null @@ -1,428 +0,0 @@ -/* crypto/ec/ecp_oct.c */ -/* - * Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de> - * for the OpenSSL project. Includes code written by Bodo Moeller for the - * OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * Portions of this software developed by SUN MICROSYSTEMS, INC., - * and contributed to the OpenSSL project. - */ - -#include <openssl/err.h> -#include <openssl/symhacks.h> - -#include "ec_lcl.h" - -int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *group, - EC_POINT *point, - const BIGNUM *x_, int y_bit, - BN_CTX *ctx) -{ - BN_CTX *new_ctx = NULL; - BIGNUM *tmp1, *tmp2, *x, *y; - int ret = 0; - - /* clear error queue */ - ERR_clear_error(); - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - y_bit = (y_bit != 0); - - BN_CTX_start(ctx); - tmp1 = BN_CTX_get(ctx); - tmp2 = BN_CTX_get(ctx); - x = BN_CTX_get(ctx); - y = BN_CTX_get(ctx); - if (y == NULL) - goto err; - - /*- - * Recover y. We have a Weierstrass equation - * y^2 = x^3 + a*x + b, - * so y is one of the square roots of x^3 + a*x + b. - */ - - /* tmp1 := x^3 */ - if (!BN_nnmod(x, x_, &group->field, ctx)) - goto err; - if (group->meth->field_decode == 0) { - /* field_{sqr,mul} work on standard representation */ - if (!group->meth->field_sqr(group, tmp2, x_, ctx)) - goto err; - if (!group->meth->field_mul(group, tmp1, tmp2, x_, ctx)) - goto err; - } else { - if (!BN_mod_sqr(tmp2, x_, &group->field, ctx)) - goto err; - if (!BN_mod_mul(tmp1, tmp2, x_, &group->field, ctx)) - goto err; - } - - /* tmp1 := tmp1 + a*x */ - if (group->a_is_minus3) { - if (!BN_mod_lshift1_quick(tmp2, x, &group->field)) - goto err; - if (!BN_mod_add_quick(tmp2, tmp2, x, &group->field)) - goto err; - if (!BN_mod_sub_quick(tmp1, tmp1, tmp2, &group->field)) - goto err; - } else { - if (group->meth->field_decode) { - if (!group->meth->field_decode(group, tmp2, &group->a, ctx)) - goto err; - if (!BN_mod_mul(tmp2, tmp2, x, &group->field, ctx)) - goto err; - } else { - /* field_mul works on standard representation */ - if (!group->meth->field_mul(group, tmp2, &group->a, x, ctx)) - goto err; - } - - if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) - goto err; - } - - /* tmp1 := tmp1 + b */ - if (group->meth->field_decode) { - if (!group->meth->field_decode(group, tmp2, &group->b, ctx)) - goto err; - if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) - goto err; - } else { - if (!BN_mod_add_quick(tmp1, tmp1, &group->b, &group->field)) - goto err; - } - - if (!BN_mod_sqrt(y, tmp1, &group->field, ctx)) { - unsigned long err = ERR_peek_last_error(); - - if (ERR_GET_LIB(err) == ERR_LIB_BN - && ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE) { - ERR_clear_error(); - ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, - EC_R_INVALID_COMPRESSED_POINT); - } else - ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, - ERR_R_BN_LIB); - goto err; - } - - if (y_bit != BN_is_odd(y)) { - if (BN_is_zero(y)) { - int kron; - - kron = BN_kronecker(x, &group->field, ctx); - if (kron == -2) - goto err; - - if (kron == 1) - ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, - EC_R_INVALID_COMPRESSION_BIT); - else - /* - * BN_mod_sqrt() should have cought this error (not a square) - */ - ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, - EC_R_INVALID_COMPRESSED_POINT); - goto err; - } - if (!BN_usub(y, &group->field, y)) - goto err; - } - if (y_bit != BN_is_odd(y)) { - ECerr(EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES, - ERR_R_INTERNAL_ERROR); - goto err; - } - - if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) - goto err; - - ret = 1; - - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -size_t ec_GFp_simple_point2oct(const EC_GROUP *group, const EC_POINT *point, - point_conversion_form_t form, - unsigned char *buf, size_t len, BN_CTX *ctx) -{ - size_t ret; - BN_CTX *new_ctx = NULL; - int used_ctx = 0; - BIGNUM *x, *y; - size_t field_len, i, skip; - - if ((form != POINT_CONVERSION_COMPRESSED) - && (form != POINT_CONVERSION_UNCOMPRESSED) - && (form != POINT_CONVERSION_HYBRID)) { - ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_INVALID_FORM); - goto err; - } - - if (EC_POINT_is_at_infinity(group, point)) { - /* encodes to a single 0 octet */ - if (buf != NULL) { - if (len < 1) { - ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); - return 0; - } - buf[0] = 0; - } - return 1; - } - - /* ret := required output buffer length */ - field_len = BN_num_bytes(&group->field); - ret = - (form == - POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len; - - /* if 'buf' is NULL, just return required length */ - if (buf != NULL) { - if (len < ret) { - ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, EC_R_BUFFER_TOO_SMALL); - goto err; - } - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - BN_CTX_start(ctx); - used_ctx = 1; - x = BN_CTX_get(ctx); - y = BN_CTX_get(ctx); - if (y == NULL) - goto err; - - if (!EC_POINT_get_affine_coordinates_GFp(group, point, x, y, ctx)) - goto err; - - if ((form == POINT_CONVERSION_COMPRESSED - || form == POINT_CONVERSION_HYBRID) && BN_is_odd(y)) - buf[0] = form + 1; - else - buf[0] = form; - - i = 1; - - skip = field_len - BN_num_bytes(x); - if (skip > field_len) { - ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); - goto err; - } - while (skip > 0) { - buf[i++] = 0; - skip--; - } - skip = BN_bn2bin(x, buf + i); - i += skip; - if (i != 1 + field_len) { - ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); - goto err; - } - - if (form == POINT_CONVERSION_UNCOMPRESSED - || form == POINT_CONVERSION_HYBRID) { - skip = field_len - BN_num_bytes(y); - if (skip > field_len) { - ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); - goto err; - } - while (skip > 0) { - buf[i++] = 0; - skip--; - } - skip = BN_bn2bin(y, buf + i); - i += skip; - } - - if (i != ret) { - ECerr(EC_F_EC_GFP_SIMPLE_POINT2OCT, ERR_R_INTERNAL_ERROR); - goto err; - } - } - - if (used_ctx) - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; - - err: - if (used_ctx) - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return 0; -} - -int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point, - const unsigned char *buf, size_t len, BN_CTX *ctx) -{ - point_conversion_form_t form; - int y_bit; - BN_CTX *new_ctx = NULL; - BIGNUM *x, *y; - size_t field_len, enc_len; - int ret = 0; - - if (len == 0) { - ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_BUFFER_TOO_SMALL); - return 0; - } - form = buf[0]; - y_bit = form & 1; - form = form & ~1U; - if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED) - && (form != POINT_CONVERSION_UNCOMPRESSED) - && (form != POINT_CONVERSION_HYBRID)) { - ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - return 0; - } - if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) { - ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - return 0; - } - - if (form == 0) { - if (len != 1) { - ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - return 0; - } - - return EC_POINT_set_to_infinity(group, point); - } - - field_len = BN_num_bytes(&group->field); - enc_len = - (form == - POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len; - - if (len != enc_len) { - ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - return 0; - } - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - BN_CTX_start(ctx); - x = BN_CTX_get(ctx); - y = BN_CTX_get(ctx); - if (y == NULL) - goto err; - - if (!BN_bin2bn(buf + 1, field_len, x)) - goto err; - if (BN_ucmp(x, &group->field) >= 0) { - ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - goto err; - } - - if (form == POINT_CONVERSION_COMPRESSED) { - if (!EC_POINT_set_compressed_coordinates_GFp - (group, point, x, y_bit, ctx)) - goto err; - } else { - if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) - goto err; - if (BN_ucmp(y, &group->field) >= 0) { - ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - goto err; - } - if (form == POINT_CONVERSION_HYBRID) { - if (y_bit != BN_is_odd(y)) { - ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_INVALID_ENCODING); - goto err; - } - } - - if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) - goto err; - } - - /* test required by X9.62 */ - if (EC_POINT_is_on_curve(group, point, ctx) <= 0) { - ECerr(EC_F_EC_GFP_SIMPLE_OCT2POINT, EC_R_POINT_IS_NOT_ON_CURVE); - goto err; - } - - ret = 1; - - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} diff --git a/thirdparty/openssl/crypto/ec/ecp_smpl.c b/thirdparty/openssl/crypto/ec/ecp_smpl.c deleted file mode 100644 index 2b848216d7..0000000000 --- a/thirdparty/openssl/crypto/ec/ecp_smpl.c +++ /dev/null @@ -1,1418 +0,0 @@ -/* crypto/ec/ecp_smpl.c */ -/* - * Includes code written by Lenka Fibikova <fibikova@exp-math.uni-essen.de> - * for the OpenSSL project. Includes code written by Bodo Moeller for the - * OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * Portions of this software developed by SUN MICROSYSTEMS, INC., - * and contributed to the OpenSSL project. - */ - -#include <openssl/err.h> -#include <openssl/symhacks.h> - -#ifdef OPENSSL_FIPS -# include <openssl/fips.h> -#endif - -#include "ec_lcl.h" - -const EC_METHOD *EC_GFp_simple_method(void) -{ - static const EC_METHOD ret = { - EC_FLAGS_DEFAULT_OCT, - NID_X9_62_prime_field, - ec_GFp_simple_group_init, - ec_GFp_simple_group_finish, - ec_GFp_simple_group_clear_finish, - ec_GFp_simple_group_copy, - ec_GFp_simple_group_set_curve, - ec_GFp_simple_group_get_curve, - ec_GFp_simple_group_get_degree, - ec_GFp_simple_group_check_discriminant, - ec_GFp_simple_point_init, - ec_GFp_simple_point_finish, - ec_GFp_simple_point_clear_finish, - ec_GFp_simple_point_copy, - ec_GFp_simple_point_set_to_infinity, - ec_GFp_simple_set_Jprojective_coordinates_GFp, - ec_GFp_simple_get_Jprojective_coordinates_GFp, - ec_GFp_simple_point_set_affine_coordinates, - ec_GFp_simple_point_get_affine_coordinates, - 0, 0, 0, - ec_GFp_simple_add, - ec_GFp_simple_dbl, - ec_GFp_simple_invert, - ec_GFp_simple_is_at_infinity, - ec_GFp_simple_is_on_curve, - ec_GFp_simple_cmp, - ec_GFp_simple_make_affine, - ec_GFp_simple_points_make_affine, - 0 /* mul */ , - 0 /* precompute_mult */ , - 0 /* have_precompute_mult */ , - ec_GFp_simple_field_mul, - ec_GFp_simple_field_sqr, - 0 /* field_div */ , - 0 /* field_encode */ , - 0 /* field_decode */ , - 0 /* field_set_to_one */ - }; - -#ifdef OPENSSL_FIPS - if (FIPS_mode()) - return fips_ec_gfp_simple_method(); -#endif - - return &ret; -} - -/* - * Most method functions in this file are designed to work with - * non-trivial representations of field elements if necessary - * (see ecp_mont.c): while standard modular addition and subtraction - * are used, the field_mul and field_sqr methods will be used for - * multiplication, and field_encode and field_decode (if defined) - * will be used for converting between representations. - * - * Functions ec_GFp_simple_points_make_affine() and - * ec_GFp_simple_point_get_affine_coordinates() specifically assume - * that if a non-trivial representation is used, it is a Montgomery - * representation (i.e. 'encoding' means multiplying by some factor R). - */ - -int ec_GFp_simple_group_init(EC_GROUP *group) -{ - BN_init(&group->field); - BN_init(&group->a); - BN_init(&group->b); - group->a_is_minus3 = 0; - return 1; -} - -void ec_GFp_simple_group_finish(EC_GROUP *group) -{ - BN_free(&group->field); - BN_free(&group->a); - BN_free(&group->b); -} - -void ec_GFp_simple_group_clear_finish(EC_GROUP *group) -{ - BN_clear_free(&group->field); - BN_clear_free(&group->a); - BN_clear_free(&group->b); -} - -int ec_GFp_simple_group_copy(EC_GROUP *dest, const EC_GROUP *src) -{ - if (!BN_copy(&dest->field, &src->field)) - return 0; - if (!BN_copy(&dest->a, &src->a)) - return 0; - if (!BN_copy(&dest->b, &src->b)) - return 0; - - dest->a_is_minus3 = src->a_is_minus3; - - return 1; -} - -int ec_GFp_simple_group_set_curve(EC_GROUP *group, - const BIGNUM *p, const BIGNUM *a, - const BIGNUM *b, BN_CTX *ctx) -{ - int ret = 0; - BN_CTX *new_ctx = NULL; - BIGNUM *tmp_a; - - /* p must be a prime > 3 */ - if (BN_num_bits(p) <= 2 || !BN_is_odd(p)) { - ECerr(EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE, EC_R_INVALID_FIELD); - return 0; - } - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - BN_CTX_start(ctx); - tmp_a = BN_CTX_get(ctx); - if (tmp_a == NULL) - goto err; - - /* group->field */ - if (!BN_copy(&group->field, p)) - goto err; - BN_set_negative(&group->field, 0); - - /* group->a */ - if (!BN_nnmod(tmp_a, a, p, ctx)) - goto err; - if (group->meth->field_encode) { - if (!group->meth->field_encode(group, &group->a, tmp_a, ctx)) - goto err; - } else if (!BN_copy(&group->a, tmp_a)) - goto err; - - /* group->b */ - if (!BN_nnmod(&group->b, b, p, ctx)) - goto err; - if (group->meth->field_encode) - if (!group->meth->field_encode(group, &group->b, &group->b, ctx)) - goto err; - - /* group->a_is_minus3 */ - if (!BN_add_word(tmp_a, 3)) - goto err; - group->a_is_minus3 = (0 == BN_cmp(tmp_a, &group->field)); - - ret = 1; - - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -int ec_GFp_simple_group_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, - BIGNUM *b, BN_CTX *ctx) -{ - int ret = 0; - BN_CTX *new_ctx = NULL; - - if (p != NULL) { - if (!BN_copy(p, &group->field)) - return 0; - } - - if (a != NULL || b != NULL) { - if (group->meth->field_decode) { - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - if (a != NULL) { - if (!group->meth->field_decode(group, a, &group->a, ctx)) - goto err; - } - if (b != NULL) { - if (!group->meth->field_decode(group, b, &group->b, ctx)) - goto err; - } - } else { - if (a != NULL) { - if (!BN_copy(a, &group->a)) - goto err; - } - if (b != NULL) { - if (!BN_copy(b, &group->b)) - goto err; - } - } - } - - ret = 1; - - err: - if (new_ctx) - BN_CTX_free(new_ctx); - return ret; -} - -int ec_GFp_simple_group_get_degree(const EC_GROUP *group) -{ - return BN_num_bits(&group->field); -} - -int ec_GFp_simple_group_check_discriminant(const EC_GROUP *group, BN_CTX *ctx) -{ - int ret = 0; - BIGNUM *a, *b, *order, *tmp_1, *tmp_2; - const BIGNUM *p = &group->field; - BN_CTX *new_ctx = NULL; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) { - ECerr(EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT, - ERR_R_MALLOC_FAILURE); - goto err; - } - } - BN_CTX_start(ctx); - a = BN_CTX_get(ctx); - b = BN_CTX_get(ctx); - tmp_1 = BN_CTX_get(ctx); - tmp_2 = BN_CTX_get(ctx); - order = BN_CTX_get(ctx); - if (order == NULL) - goto err; - - if (group->meth->field_decode) { - if (!group->meth->field_decode(group, a, &group->a, ctx)) - goto err; - if (!group->meth->field_decode(group, b, &group->b, ctx)) - goto err; - } else { - if (!BN_copy(a, &group->a)) - goto err; - if (!BN_copy(b, &group->b)) - goto err; - } - - /*- - * check the discriminant: - * y^2 = x^3 + a*x + b is an elliptic curve <=> 4*a^3 + 27*b^2 != 0 (mod p) - * 0 =< a, b < p - */ - if (BN_is_zero(a)) { - if (BN_is_zero(b)) - goto err; - } else if (!BN_is_zero(b)) { - if (!BN_mod_sqr(tmp_1, a, p, ctx)) - goto err; - if (!BN_mod_mul(tmp_2, tmp_1, a, p, ctx)) - goto err; - if (!BN_lshift(tmp_1, tmp_2, 2)) - goto err; - /* tmp_1 = 4*a^3 */ - - if (!BN_mod_sqr(tmp_2, b, p, ctx)) - goto err; - if (!BN_mul_word(tmp_2, 27)) - goto err; - /* tmp_2 = 27*b^2 */ - - if (!BN_mod_add(a, tmp_1, tmp_2, p, ctx)) - goto err; - if (BN_is_zero(a)) - goto err; - } - ret = 1; - - err: - if (ctx != NULL) - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -int ec_GFp_simple_point_init(EC_POINT *point) -{ - BN_init(&point->X); - BN_init(&point->Y); - BN_init(&point->Z); - point->Z_is_one = 0; - - return 1; -} - -void ec_GFp_simple_point_finish(EC_POINT *point) -{ - BN_free(&point->X); - BN_free(&point->Y); - BN_free(&point->Z); -} - -void ec_GFp_simple_point_clear_finish(EC_POINT *point) -{ - BN_clear_free(&point->X); - BN_clear_free(&point->Y); - BN_clear_free(&point->Z); - point->Z_is_one = 0; -} - -int ec_GFp_simple_point_copy(EC_POINT *dest, const EC_POINT *src) -{ - if (!BN_copy(&dest->X, &src->X)) - return 0; - if (!BN_copy(&dest->Y, &src->Y)) - return 0; - if (!BN_copy(&dest->Z, &src->Z)) - return 0; - dest->Z_is_one = src->Z_is_one; - - return 1; -} - -int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *group, - EC_POINT *point) -{ - point->Z_is_one = 0; - BN_zero(&point->Z); - return 1; -} - -int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *group, - EC_POINT *point, - const BIGNUM *x, - const BIGNUM *y, - const BIGNUM *z, - BN_CTX *ctx) -{ - BN_CTX *new_ctx = NULL; - int ret = 0; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - if (x != NULL) { - if (!BN_nnmod(&point->X, x, &group->field, ctx)) - goto err; - if (group->meth->field_encode) { - if (!group->meth->field_encode(group, &point->X, &point->X, ctx)) - goto err; - } - } - - if (y != NULL) { - if (!BN_nnmod(&point->Y, y, &group->field, ctx)) - goto err; - if (group->meth->field_encode) { - if (!group->meth->field_encode(group, &point->Y, &point->Y, ctx)) - goto err; - } - } - - if (z != NULL) { - int Z_is_one; - - if (!BN_nnmod(&point->Z, z, &group->field, ctx)) - goto err; - Z_is_one = BN_is_one(&point->Z); - if (group->meth->field_encode) { - if (Z_is_one && (group->meth->field_set_to_one != 0)) { - if (!group->meth->field_set_to_one(group, &point->Z, ctx)) - goto err; - } else { - if (!group-> - meth->field_encode(group, &point->Z, &point->Z, ctx)) - goto err; - } - } - point->Z_is_one = Z_is_one; - } - - ret = 1; - - err: - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *group, - const EC_POINT *point, - BIGNUM *x, BIGNUM *y, - BIGNUM *z, BN_CTX *ctx) -{ - BN_CTX *new_ctx = NULL; - int ret = 0; - - if (group->meth->field_decode != 0) { - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - if (x != NULL) { - if (!group->meth->field_decode(group, x, &point->X, ctx)) - goto err; - } - if (y != NULL) { - if (!group->meth->field_decode(group, y, &point->Y, ctx)) - goto err; - } - if (z != NULL) { - if (!group->meth->field_decode(group, z, &point->Z, ctx)) - goto err; - } - } else { - if (x != NULL) { - if (!BN_copy(x, &point->X)) - goto err; - } - if (y != NULL) { - if (!BN_copy(y, &point->Y)) - goto err; - } - if (z != NULL) { - if (!BN_copy(z, &point->Z)) - goto err; - } - } - - ret = 1; - - err: - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *group, - EC_POINT *point, - const BIGNUM *x, - const BIGNUM *y, BN_CTX *ctx) -{ - if (x == NULL || y == NULL) { - /* - * unlike for projective coordinates, we do not tolerate this - */ - ECerr(EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES, - ERR_R_PASSED_NULL_PARAMETER); - return 0; - } - - return EC_POINT_set_Jprojective_coordinates_GFp(group, point, x, y, - BN_value_one(), ctx); -} - -int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *group, - const EC_POINT *point, - BIGNUM *x, BIGNUM *y, - BN_CTX *ctx) -{ - BN_CTX *new_ctx = NULL; - BIGNUM *Z, *Z_1, *Z_2, *Z_3; - const BIGNUM *Z_; - int ret = 0; - - if (EC_POINT_is_at_infinity(group, point)) { - ECerr(EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES, - EC_R_POINT_AT_INFINITY); - return 0; - } - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - BN_CTX_start(ctx); - Z = BN_CTX_get(ctx); - Z_1 = BN_CTX_get(ctx); - Z_2 = BN_CTX_get(ctx); - Z_3 = BN_CTX_get(ctx); - if (Z_3 == NULL) - goto err; - - /* transform (X, Y, Z) into (x, y) := (X/Z^2, Y/Z^3) */ - - if (group->meth->field_decode) { - if (!group->meth->field_decode(group, Z, &point->Z, ctx)) - goto err; - Z_ = Z; - } else { - Z_ = &point->Z; - } - - if (BN_is_one(Z_)) { - if (group->meth->field_decode) { - if (x != NULL) { - if (!group->meth->field_decode(group, x, &point->X, ctx)) - goto err; - } - if (y != NULL) { - if (!group->meth->field_decode(group, y, &point->Y, ctx)) - goto err; - } - } else { - if (x != NULL) { - if (!BN_copy(x, &point->X)) - goto err; - } - if (y != NULL) { - if (!BN_copy(y, &point->Y)) - goto err; - } - } - } else { - if (!BN_mod_inverse(Z_1, Z_, &group->field, ctx)) { - ECerr(EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES, - ERR_R_BN_LIB); - goto err; - } - - if (group->meth->field_encode == 0) { - /* field_sqr works on standard representation */ - if (!group->meth->field_sqr(group, Z_2, Z_1, ctx)) - goto err; - } else { - if (!BN_mod_sqr(Z_2, Z_1, &group->field, ctx)) - goto err; - } - - if (x != NULL) { - /* - * in the Montgomery case, field_mul will cancel out Montgomery - * factor in X: - */ - if (!group->meth->field_mul(group, x, &point->X, Z_2, ctx)) - goto err; - } - - if (y != NULL) { - if (group->meth->field_encode == 0) { - /* - * field_mul works on standard representation - */ - if (!group->meth->field_mul(group, Z_3, Z_2, Z_1, ctx)) - goto err; - } else { - if (!BN_mod_mul(Z_3, Z_2, Z_1, &group->field, ctx)) - goto err; - } - - /* - * in the Montgomery case, field_mul will cancel out Montgomery - * factor in Y: - */ - if (!group->meth->field_mul(group, y, &point->Y, Z_3, ctx)) - goto err; - } - } - - ret = 1; - - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -int ec_GFp_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, - const EC_POINT *b, BN_CTX *ctx) -{ - int (*field_mul) (const EC_GROUP *, BIGNUM *, const BIGNUM *, - const BIGNUM *, BN_CTX *); - int (*field_sqr) (const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *); - const BIGNUM *p; - BN_CTX *new_ctx = NULL; - BIGNUM *n0, *n1, *n2, *n3, *n4, *n5, *n6; - int ret = 0; - - if (a == b) - return EC_POINT_dbl(group, r, a, ctx); - if (EC_POINT_is_at_infinity(group, a)) - return EC_POINT_copy(r, b); - if (EC_POINT_is_at_infinity(group, b)) - return EC_POINT_copy(r, a); - - field_mul = group->meth->field_mul; - field_sqr = group->meth->field_sqr; - p = &group->field; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - BN_CTX_start(ctx); - n0 = BN_CTX_get(ctx); - n1 = BN_CTX_get(ctx); - n2 = BN_CTX_get(ctx); - n3 = BN_CTX_get(ctx); - n4 = BN_CTX_get(ctx); - n5 = BN_CTX_get(ctx); - n6 = BN_CTX_get(ctx); - if (n6 == NULL) - goto end; - - /* - * Note that in this function we must not read components of 'a' or 'b' - * once we have written the corresponding components of 'r'. ('r' might - * be one of 'a' or 'b'.) - */ - - /* n1, n2 */ - if (b->Z_is_one) { - if (!BN_copy(n1, &a->X)) - goto end; - if (!BN_copy(n2, &a->Y)) - goto end; - /* n1 = X_a */ - /* n2 = Y_a */ - } else { - if (!field_sqr(group, n0, &b->Z, ctx)) - goto end; - if (!field_mul(group, n1, &a->X, n0, ctx)) - goto end; - /* n1 = X_a * Z_b^2 */ - - if (!field_mul(group, n0, n0, &b->Z, ctx)) - goto end; - if (!field_mul(group, n2, &a->Y, n0, ctx)) - goto end; - /* n2 = Y_a * Z_b^3 */ - } - - /* n3, n4 */ - if (a->Z_is_one) { - if (!BN_copy(n3, &b->X)) - goto end; - if (!BN_copy(n4, &b->Y)) - goto end; - /* n3 = X_b */ - /* n4 = Y_b */ - } else { - if (!field_sqr(group, n0, &a->Z, ctx)) - goto end; - if (!field_mul(group, n3, &b->X, n0, ctx)) - goto end; - /* n3 = X_b * Z_a^2 */ - - if (!field_mul(group, n0, n0, &a->Z, ctx)) - goto end; - if (!field_mul(group, n4, &b->Y, n0, ctx)) - goto end; - /* n4 = Y_b * Z_a^3 */ - } - - /* n5, n6 */ - if (!BN_mod_sub_quick(n5, n1, n3, p)) - goto end; - if (!BN_mod_sub_quick(n6, n2, n4, p)) - goto end; - /* n5 = n1 - n3 */ - /* n6 = n2 - n4 */ - - if (BN_is_zero(n5)) { - if (BN_is_zero(n6)) { - /* a is the same point as b */ - BN_CTX_end(ctx); - ret = EC_POINT_dbl(group, r, a, ctx); - ctx = NULL; - goto end; - } else { - /* a is the inverse of b */ - BN_zero(&r->Z); - r->Z_is_one = 0; - ret = 1; - goto end; - } - } - - /* 'n7', 'n8' */ - if (!BN_mod_add_quick(n1, n1, n3, p)) - goto end; - if (!BN_mod_add_quick(n2, n2, n4, p)) - goto end; - /* 'n7' = n1 + n3 */ - /* 'n8' = n2 + n4 */ - - /* Z_r */ - if (a->Z_is_one && b->Z_is_one) { - if (!BN_copy(&r->Z, n5)) - goto end; - } else { - if (a->Z_is_one) { - if (!BN_copy(n0, &b->Z)) - goto end; - } else if (b->Z_is_one) { - if (!BN_copy(n0, &a->Z)) - goto end; - } else { - if (!field_mul(group, n0, &a->Z, &b->Z, ctx)) - goto end; - } - if (!field_mul(group, &r->Z, n0, n5, ctx)) - goto end; - } - r->Z_is_one = 0; - /* Z_r = Z_a * Z_b * n5 */ - - /* X_r */ - if (!field_sqr(group, n0, n6, ctx)) - goto end; - if (!field_sqr(group, n4, n5, ctx)) - goto end; - if (!field_mul(group, n3, n1, n4, ctx)) - goto end; - if (!BN_mod_sub_quick(&r->X, n0, n3, p)) - goto end; - /* X_r = n6^2 - n5^2 * 'n7' */ - - /* 'n9' */ - if (!BN_mod_lshift1_quick(n0, &r->X, p)) - goto end; - if (!BN_mod_sub_quick(n0, n3, n0, p)) - goto end; - /* n9 = n5^2 * 'n7' - 2 * X_r */ - - /* Y_r */ - if (!field_mul(group, n0, n0, n6, ctx)) - goto end; - if (!field_mul(group, n5, n4, n5, ctx)) - goto end; /* now n5 is n5^3 */ - if (!field_mul(group, n1, n2, n5, ctx)) - goto end; - if (!BN_mod_sub_quick(n0, n0, n1, p)) - goto end; - if (BN_is_odd(n0)) - if (!BN_add(n0, n0, p)) - goto end; - /* now 0 <= n0 < 2*p, and n0 is even */ - if (!BN_rshift1(&r->Y, n0)) - goto end; - /* Y_r = (n6 * 'n9' - 'n8' * 'n5^3') / 2 */ - - ret = 1; - - end: - if (ctx) /* otherwise we already called BN_CTX_end */ - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -int ec_GFp_simple_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, - BN_CTX *ctx) -{ - int (*field_mul) (const EC_GROUP *, BIGNUM *, const BIGNUM *, - const BIGNUM *, BN_CTX *); - int (*field_sqr) (const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *); - const BIGNUM *p; - BN_CTX *new_ctx = NULL; - BIGNUM *n0, *n1, *n2, *n3; - int ret = 0; - - if (EC_POINT_is_at_infinity(group, a)) { - BN_zero(&r->Z); - r->Z_is_one = 0; - return 1; - } - - field_mul = group->meth->field_mul; - field_sqr = group->meth->field_sqr; - p = &group->field; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - BN_CTX_start(ctx); - n0 = BN_CTX_get(ctx); - n1 = BN_CTX_get(ctx); - n2 = BN_CTX_get(ctx); - n3 = BN_CTX_get(ctx); - if (n3 == NULL) - goto err; - - /* - * Note that in this function we must not read components of 'a' once we - * have written the corresponding components of 'r'. ('r' might the same - * as 'a'.) - */ - - /* n1 */ - if (a->Z_is_one) { - if (!field_sqr(group, n0, &a->X, ctx)) - goto err; - if (!BN_mod_lshift1_quick(n1, n0, p)) - goto err; - if (!BN_mod_add_quick(n0, n0, n1, p)) - goto err; - if (!BN_mod_add_quick(n1, n0, &group->a, p)) - goto err; - /* n1 = 3 * X_a^2 + a_curve */ - } else if (group->a_is_minus3) { - if (!field_sqr(group, n1, &a->Z, ctx)) - goto err; - if (!BN_mod_add_quick(n0, &a->X, n1, p)) - goto err; - if (!BN_mod_sub_quick(n2, &a->X, n1, p)) - goto err; - if (!field_mul(group, n1, n0, n2, ctx)) - goto err; - if (!BN_mod_lshift1_quick(n0, n1, p)) - goto err; - if (!BN_mod_add_quick(n1, n0, n1, p)) - goto err; - /*- - * n1 = 3 * (X_a + Z_a^2) * (X_a - Z_a^2) - * = 3 * X_a^2 - 3 * Z_a^4 - */ - } else { - if (!field_sqr(group, n0, &a->X, ctx)) - goto err; - if (!BN_mod_lshift1_quick(n1, n0, p)) - goto err; - if (!BN_mod_add_quick(n0, n0, n1, p)) - goto err; - if (!field_sqr(group, n1, &a->Z, ctx)) - goto err; - if (!field_sqr(group, n1, n1, ctx)) - goto err; - if (!field_mul(group, n1, n1, &group->a, ctx)) - goto err; - if (!BN_mod_add_quick(n1, n1, n0, p)) - goto err; - /* n1 = 3 * X_a^2 + a_curve * Z_a^4 */ - } - - /* Z_r */ - if (a->Z_is_one) { - if (!BN_copy(n0, &a->Y)) - goto err; - } else { - if (!field_mul(group, n0, &a->Y, &a->Z, ctx)) - goto err; - } - if (!BN_mod_lshift1_quick(&r->Z, n0, p)) - goto err; - r->Z_is_one = 0; - /* Z_r = 2 * Y_a * Z_a */ - - /* n2 */ - if (!field_sqr(group, n3, &a->Y, ctx)) - goto err; - if (!field_mul(group, n2, &a->X, n3, ctx)) - goto err; - if (!BN_mod_lshift_quick(n2, n2, 2, p)) - goto err; - /* n2 = 4 * X_a * Y_a^2 */ - - /* X_r */ - if (!BN_mod_lshift1_quick(n0, n2, p)) - goto err; - if (!field_sqr(group, &r->X, n1, ctx)) - goto err; - if (!BN_mod_sub_quick(&r->X, &r->X, n0, p)) - goto err; - /* X_r = n1^2 - 2 * n2 */ - - /* n3 */ - if (!field_sqr(group, n0, n3, ctx)) - goto err; - if (!BN_mod_lshift_quick(n3, n0, 3, p)) - goto err; - /* n3 = 8 * Y_a^4 */ - - /* Y_r */ - if (!BN_mod_sub_quick(n0, n2, &r->X, p)) - goto err; - if (!field_mul(group, n0, n1, n0, ctx)) - goto err; - if (!BN_mod_sub_quick(&r->Y, n0, n3, p)) - goto err; - /* Y_r = n1 * (n2 - X_r) - n3 */ - - ret = 1; - - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -int ec_GFp_simple_invert(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx) -{ - if (EC_POINT_is_at_infinity(group, point) || BN_is_zero(&point->Y)) - /* point is its own inverse */ - return 1; - - return BN_usub(&point->Y, &group->field, &point->Y); -} - -int ec_GFp_simple_is_at_infinity(const EC_GROUP *group, const EC_POINT *point) -{ - return BN_is_zero(&point->Z); -} - -int ec_GFp_simple_is_on_curve(const EC_GROUP *group, const EC_POINT *point, - BN_CTX *ctx) -{ - int (*field_mul) (const EC_GROUP *, BIGNUM *, const BIGNUM *, - const BIGNUM *, BN_CTX *); - int (*field_sqr) (const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *); - const BIGNUM *p; - BN_CTX *new_ctx = NULL; - BIGNUM *rh, *tmp, *Z4, *Z6; - int ret = -1; - - if (EC_POINT_is_at_infinity(group, point)) - return 1; - - field_mul = group->meth->field_mul; - field_sqr = group->meth->field_sqr; - p = &group->field; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return -1; - } - - BN_CTX_start(ctx); - rh = BN_CTX_get(ctx); - tmp = BN_CTX_get(ctx); - Z4 = BN_CTX_get(ctx); - Z6 = BN_CTX_get(ctx); - if (Z6 == NULL) - goto err; - - /*- - * We have a curve defined by a Weierstrass equation - * y^2 = x^3 + a*x + b. - * The point to consider is given in Jacobian projective coordinates - * where (X, Y, Z) represents (x, y) = (X/Z^2, Y/Z^3). - * Substituting this and multiplying by Z^6 transforms the above equation into - * Y^2 = X^3 + a*X*Z^4 + b*Z^6. - * To test this, we add up the right-hand side in 'rh'. - */ - - /* rh := X^2 */ - if (!field_sqr(group, rh, &point->X, ctx)) - goto err; - - if (!point->Z_is_one) { - if (!field_sqr(group, tmp, &point->Z, ctx)) - goto err; - if (!field_sqr(group, Z4, tmp, ctx)) - goto err; - if (!field_mul(group, Z6, Z4, tmp, ctx)) - goto err; - - /* rh := (rh + a*Z^4)*X */ - if (group->a_is_minus3) { - if (!BN_mod_lshift1_quick(tmp, Z4, p)) - goto err; - if (!BN_mod_add_quick(tmp, tmp, Z4, p)) - goto err; - if (!BN_mod_sub_quick(rh, rh, tmp, p)) - goto err; - if (!field_mul(group, rh, rh, &point->X, ctx)) - goto err; - } else { - if (!field_mul(group, tmp, Z4, &group->a, ctx)) - goto err; - if (!BN_mod_add_quick(rh, rh, tmp, p)) - goto err; - if (!field_mul(group, rh, rh, &point->X, ctx)) - goto err; - } - - /* rh := rh + b*Z^6 */ - if (!field_mul(group, tmp, &group->b, Z6, ctx)) - goto err; - if (!BN_mod_add_quick(rh, rh, tmp, p)) - goto err; - } else { - /* point->Z_is_one */ - - /* rh := (rh + a)*X */ - if (!BN_mod_add_quick(rh, rh, &group->a, p)) - goto err; - if (!field_mul(group, rh, rh, &point->X, ctx)) - goto err; - /* rh := rh + b */ - if (!BN_mod_add_quick(rh, rh, &group->b, p)) - goto err; - } - - /* 'lh' := Y^2 */ - if (!field_sqr(group, tmp, &point->Y, ctx)) - goto err; - - ret = (0 == BN_ucmp(tmp, rh)); - - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -int ec_GFp_simple_cmp(const EC_GROUP *group, const EC_POINT *a, - const EC_POINT *b, BN_CTX *ctx) -{ - /*- - * return values: - * -1 error - * 0 equal (in affine coordinates) - * 1 not equal - */ - - int (*field_mul) (const EC_GROUP *, BIGNUM *, const BIGNUM *, - const BIGNUM *, BN_CTX *); - int (*field_sqr) (const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *); - BN_CTX *new_ctx = NULL; - BIGNUM *tmp1, *tmp2, *Za23, *Zb23; - const BIGNUM *tmp1_, *tmp2_; - int ret = -1; - - if (EC_POINT_is_at_infinity(group, a)) { - return EC_POINT_is_at_infinity(group, b) ? 0 : 1; - } - - if (EC_POINT_is_at_infinity(group, b)) - return 1; - - if (a->Z_is_one && b->Z_is_one) { - return ((BN_cmp(&a->X, &b->X) == 0) - && BN_cmp(&a->Y, &b->Y) == 0) ? 0 : 1; - } - - field_mul = group->meth->field_mul; - field_sqr = group->meth->field_sqr; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return -1; - } - - BN_CTX_start(ctx); - tmp1 = BN_CTX_get(ctx); - tmp2 = BN_CTX_get(ctx); - Za23 = BN_CTX_get(ctx); - Zb23 = BN_CTX_get(ctx); - if (Zb23 == NULL) - goto end; - - /*- - * We have to decide whether - * (X_a/Z_a^2, Y_a/Z_a^3) = (X_b/Z_b^2, Y_b/Z_b^3), - * or equivalently, whether - * (X_a*Z_b^2, Y_a*Z_b^3) = (X_b*Z_a^2, Y_b*Z_a^3). - */ - - if (!b->Z_is_one) { - if (!field_sqr(group, Zb23, &b->Z, ctx)) - goto end; - if (!field_mul(group, tmp1, &a->X, Zb23, ctx)) - goto end; - tmp1_ = tmp1; - } else - tmp1_ = &a->X; - if (!a->Z_is_one) { - if (!field_sqr(group, Za23, &a->Z, ctx)) - goto end; - if (!field_mul(group, tmp2, &b->X, Za23, ctx)) - goto end; - tmp2_ = tmp2; - } else - tmp2_ = &b->X; - - /* compare X_a*Z_b^2 with X_b*Z_a^2 */ - if (BN_cmp(tmp1_, tmp2_) != 0) { - ret = 1; /* points differ */ - goto end; - } - - if (!b->Z_is_one) { - if (!field_mul(group, Zb23, Zb23, &b->Z, ctx)) - goto end; - if (!field_mul(group, tmp1, &a->Y, Zb23, ctx)) - goto end; - /* tmp1_ = tmp1 */ - } else - tmp1_ = &a->Y; - if (!a->Z_is_one) { - if (!field_mul(group, Za23, Za23, &a->Z, ctx)) - goto end; - if (!field_mul(group, tmp2, &b->Y, Za23, ctx)) - goto end; - /* tmp2_ = tmp2 */ - } else - tmp2_ = &b->Y; - - /* compare Y_a*Z_b^3 with Y_b*Z_a^3 */ - if (BN_cmp(tmp1_, tmp2_) != 0) { - ret = 1; /* points differ */ - goto end; - } - - /* points are equal */ - ret = 0; - - end: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -int ec_GFp_simple_make_affine(const EC_GROUP *group, EC_POINT *point, - BN_CTX *ctx) -{ - BN_CTX *new_ctx = NULL; - BIGNUM *x, *y; - int ret = 0; - - if (point->Z_is_one || EC_POINT_is_at_infinity(group, point)) - return 1; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - BN_CTX_start(ctx); - x = BN_CTX_get(ctx); - y = BN_CTX_get(ctx); - if (y == NULL) - goto err; - - if (!EC_POINT_get_affine_coordinates_GFp(group, point, x, y, ctx)) - goto err; - if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx)) - goto err; - if (!point->Z_is_one) { - ECerr(EC_F_EC_GFP_SIMPLE_MAKE_AFFINE, ERR_R_INTERNAL_ERROR); - goto err; - } - - ret = 1; - - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - return ret; -} - -int ec_GFp_simple_points_make_affine(const EC_GROUP *group, size_t num, - EC_POINT *points[], BN_CTX *ctx) -{ - BN_CTX *new_ctx = NULL; - BIGNUM *tmp, *tmp_Z; - BIGNUM **prod_Z = NULL; - size_t i; - int ret = 0; - - if (num == 0) - return 1; - - if (ctx == NULL) { - ctx = new_ctx = BN_CTX_new(); - if (ctx == NULL) - return 0; - } - - BN_CTX_start(ctx); - tmp = BN_CTX_get(ctx); - tmp_Z = BN_CTX_get(ctx); - if (tmp == NULL || tmp_Z == NULL) - goto err; - - prod_Z = OPENSSL_malloc(num * sizeof prod_Z[0]); - if (prod_Z == NULL) - goto err; - for (i = 0; i < num; i++) { - prod_Z[i] = BN_new(); - if (prod_Z[i] == NULL) - goto err; - } - - /* - * Set each prod_Z[i] to the product of points[0]->Z .. points[i]->Z, - * skipping any zero-valued inputs (pretend that they're 1). - */ - - if (!BN_is_zero(&points[0]->Z)) { - if (!BN_copy(prod_Z[0], &points[0]->Z)) - goto err; - } else { - if (group->meth->field_set_to_one != 0) { - if (!group->meth->field_set_to_one(group, prod_Z[0], ctx)) - goto err; - } else { - if (!BN_one(prod_Z[0])) - goto err; - } - } - - for (i = 1; i < num; i++) { - if (!BN_is_zero(&points[i]->Z)) { - if (!group->meth->field_mul(group, prod_Z[i], prod_Z[i - 1], - &points[i]->Z, ctx)) - goto err; - } else { - if (!BN_copy(prod_Z[i], prod_Z[i - 1])) - goto err; - } - } - - /* - * Now use a single explicit inversion to replace every non-zero - * points[i]->Z by its inverse. - */ - - if (!BN_mod_inverse(tmp, prod_Z[num - 1], &group->field, ctx)) { - ECerr(EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE, ERR_R_BN_LIB); - goto err; - } - if (group->meth->field_encode != 0) { - /* - * In the Montgomery case, we just turned R*H (representing H) into - * 1/(R*H), but we need R*(1/H) (representing 1/H); i.e. we need to - * multiply by the Montgomery factor twice. - */ - if (!group->meth->field_encode(group, tmp, tmp, ctx)) - goto err; - if (!group->meth->field_encode(group, tmp, tmp, ctx)) - goto err; - } - - for (i = num - 1; i > 0; --i) { - /* - * Loop invariant: tmp is the product of the inverses of points[0]->Z - * .. points[i]->Z (zero-valued inputs skipped). - */ - if (!BN_is_zero(&points[i]->Z)) { - /* - * Set tmp_Z to the inverse of points[i]->Z (as product of Z - * inverses 0 .. i, Z values 0 .. i - 1). - */ - if (!group-> - meth->field_mul(group, tmp_Z, prod_Z[i - 1], tmp, ctx)) - goto err; - /* - * Update tmp to satisfy the loop invariant for i - 1. - */ - if (!group->meth->field_mul(group, tmp, tmp, &points[i]->Z, ctx)) - goto err; - /* Replace points[i]->Z by its inverse. */ - if (!BN_copy(&points[i]->Z, tmp_Z)) - goto err; - } - } - - if (!BN_is_zero(&points[0]->Z)) { - /* Replace points[0]->Z by its inverse. */ - if (!BN_copy(&points[0]->Z, tmp)) - goto err; - } - - /* Finally, fix up the X and Y coordinates for all points. */ - - for (i = 0; i < num; i++) { - EC_POINT *p = points[i]; - - if (!BN_is_zero(&p->Z)) { - /* turn (X, Y, 1/Z) into (X/Z^2, Y/Z^3, 1) */ - - if (!group->meth->field_sqr(group, tmp, &p->Z, ctx)) - goto err; - if (!group->meth->field_mul(group, &p->X, &p->X, tmp, ctx)) - goto err; - - if (!group->meth->field_mul(group, tmp, tmp, &p->Z, ctx)) - goto err; - if (!group->meth->field_mul(group, &p->Y, &p->Y, tmp, ctx)) - goto err; - - if (group->meth->field_set_to_one != 0) { - if (!group->meth->field_set_to_one(group, &p->Z, ctx)) - goto err; - } else { - if (!BN_one(&p->Z)) - goto err; - } - p->Z_is_one = 1; - } - } - - ret = 1; - - err: - BN_CTX_end(ctx); - if (new_ctx != NULL) - BN_CTX_free(new_ctx); - if (prod_Z != NULL) { - for (i = 0; i < num; i++) { - if (prod_Z[i] == NULL) - break; - BN_clear_free(prod_Z[i]); - } - OPENSSL_free(prod_Z); - } - return ret; -} - -int ec_GFp_simple_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, - const BIGNUM *b, BN_CTX *ctx) -{ - return BN_mod_mul(r, a, b, &group->field, ctx); -} - -int ec_GFp_simple_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, - BN_CTX *ctx) -{ - return BN_mod_sqr(r, a, &group->field, ctx); -} |