diff options
Diffstat (limited to 'thirdparty/mbedtls/library/bignum.c')
-rw-r--r-- | thirdparty/mbedtls/library/bignum.c | 103 |
1 files changed, 101 insertions, 2 deletions
diff --git a/thirdparty/mbedtls/library/bignum.c b/thirdparty/mbedtls/library/bignum.c index d1717e9435..6713bcbf6f 100644 --- a/thirdparty/mbedtls/library/bignum.c +++ b/thirdparty/mbedtls/library/bignum.c @@ -1071,6 +1071,107 @@ int mbedtls_mpi_cmp_mpi( const mbedtls_mpi *X, const mbedtls_mpi *Y ) return( 0 ); } +/** Decide if an integer is less than the other, without branches. + * + * \param x First integer. + * \param y Second integer. + * + * \return 1 if \p x is less than \p y, 0 otherwise + */ +static unsigned ct_lt_mpi_uint( const mbedtls_mpi_uint x, + const mbedtls_mpi_uint y ) +{ + mbedtls_mpi_uint ret; + mbedtls_mpi_uint cond; + + /* + * Check if the most significant bits (MSB) of the operands are different. + */ + cond = ( x ^ y ); + /* + * If the MSB are the same then the difference x-y will be negative (and + * have its MSB set to 1 during conversion to unsigned) if and only if x<y. + */ + ret = ( x - y ) & ~cond; + /* + * If the MSB are different, then the operand with the MSB of 1 is the + * bigger. (That is if y has MSB of 1, then x<y is true and it is false if + * the MSB of y is 0.) + */ + ret |= y & cond; + + + ret = ret >> ( biL - 1 ); + + return (unsigned) ret; +} + +/* + * Compare signed values in constant time + */ +int mbedtls_mpi_lt_mpi_ct( const mbedtls_mpi *X, const mbedtls_mpi *Y, + unsigned *ret ) +{ + size_t i; + /* The value of any of these variables is either 0 or 1 at all times. */ + unsigned cond, done, X_is_negative, Y_is_negative; + + MPI_VALIDATE_RET( X != NULL ); + MPI_VALIDATE_RET( Y != NULL ); + MPI_VALIDATE_RET( ret != NULL ); + + if( X->n != Y->n ) + return MBEDTLS_ERR_MPI_BAD_INPUT_DATA; + + /* + * Set sign_N to 1 if N >= 0, 0 if N < 0. + * We know that N->s == 1 if N >= 0 and N->s == -1 if N < 0. + */ + X_is_negative = ( X->s & 2 ) >> 1; + Y_is_negative = ( Y->s & 2 ) >> 1; + + /* + * If the signs are different, then the positive operand is the bigger. + * That is if X is negative (X_is_negative == 1), then X < Y is true and it + * is false if X is positive (X_is_negative == 0). + */ + cond = ( X_is_negative ^ Y_is_negative ); + *ret = cond & X_is_negative; + + /* + * This is a constant-time function. We might have the result, but we still + * need to go through the loop. Record if we have the result already. + */ + done = cond; + + for( i = X->n; i > 0; i-- ) + { + /* + * If Y->p[i - 1] < X->p[i - 1] then X < Y is true if and only if both + * X and Y are negative. + * + * Again even if we can make a decision, we just mark the result and + * the fact that we are done and continue looping. + */ + cond = ct_lt_mpi_uint( Y->p[i - 1], X->p[i - 1] ); + *ret |= cond & ( 1 - done ) & X_is_negative; + done |= cond; + + /* + * If X->p[i - 1] < Y->p[i - 1] then X < Y is true if and only if both + * X and Y are positive. + * + * Again even if we can make a decision, we just mark the result and + * the fact that we are done and continue looping. + */ + cond = ct_lt_mpi_uint( X->p[i - 1], Y->p[i - 1] ); + *ret |= cond & ( 1 - done ) & ( 1 - X_is_negative ); + done |= cond; + } + + return( 0 ); +} + /* * Compare signed values */ @@ -2338,8 +2439,6 @@ static int mpi_miller_rabin( const mbedtls_mpi *X, size_t rounds, MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &R, &W ) ); MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &R, s ) ); - i = mbedtls_mpi_bitlen( X ); - for( i = 0; i < rounds; i++ ) { /* |