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+#ifndef SSE2NEON_H
+#define SSE2NEON_H
+
+// This header file provides a simple API translation layer
+// between SSE intrinsics to their corresponding Arm/Aarch64 NEON versions
+//
+// This header file does not yet translate all of the SSE intrinsics.
+//
+// Contributors to this work are:
+// John W. Ratcliff <jratcliffscarab@gmail.com>
+// Brandon Rowlett <browlett@nvidia.com>
+// Ken Fast <kfast@gdeb.com>
+// Eric van Beurden <evanbeurden@nvidia.com>
+// Alexander Potylitsin <apotylitsin@nvidia.com>
+// Hasindu Gamaarachchi <hasindu2008@gmail.com>
+// Jim Huang <jserv@biilabs.io>
+// Mark Cheng <marktwtn@biilabs.io>
+// Malcolm James MacLeod <malcolm@gulden.com>
+// Devin Hussey (easyaspi314) <husseydevin@gmail.com>
+// Sebastian Pop <spop@amazon.com>
+// Developer Ecosystem Engineering <DeveloperEcosystemEngineering@apple.com>
+// Danila Kutenin <danilak@google.com>
+// François Turban (JishinMaster) <francois.turban@gmail.com>
+// Pei-Hsuan Hung <afcidk@gmail.com>
+// Yang-Hao Yuan <yanghau@biilabs.io>
+// Syoyo Fujita <syoyo@lighttransport.com>
+// Brecht Van Lommel <brecht@blender.org>
+
+/*
+ * sse2neon is freely redistributable under the MIT License.
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+ * SOFTWARE.
+ */
+
+/* Tunable configurations */
+
+/* Enable precise implementation of math operations
+ * This would slow down the computation a bit, but gives consistent result with
+ * x86 SSE2. (e.g. would solve a hole or NaN pixel in the rendering result)
+ */
+/* _mm_min_ps and _mm_max_ps */
+#ifndef SSE2NEON_PRECISE_MINMAX
+#define SSE2NEON_PRECISE_MINMAX (0)
+#endif
+/* _mm_rcp_ps and _mm_div_ps */
+#ifndef SSE2NEON_PRECISE_DIV
+#define SSE2NEON_PRECISE_DIV (0)
+#endif
+/* _mm_sqrt_ps and _mm_rsqrt_ps */
+#ifndef SSE2NEON_PRECISE_SQRT
+#define SSE2NEON_PRECISE_SQRT (0)
+#endif
+#ifndef SSE2NEON_PRECISE_RSQRT
+#define SSE2NEON_PRECISE_RSQRT (0)
+#endif
+
+#if defined(__GNUC__) || defined(__clang__)
+#pragma push_macro("FORCE_INLINE")
+#pragma push_macro("ALIGN_STRUCT")
+#define FORCE_INLINE static inline __attribute__((always_inline))
+#define ALIGN_STRUCT(x) __attribute__((aligned(x)))
+#ifndef likely
+#define likely(x) __builtin_expect(!!(x), 1)
+#endif
+#ifndef unlikely
+#define unlikely(x) __builtin_expect(!!(x), 0)
+#endif
+#else
+#error "Macro name collisions may happen with unsupported compiler."
+#ifdef FORCE_INLINE
+#undef FORCE_INLINE
+#endif
+#define FORCE_INLINE static inline
+#ifndef ALIGN_STRUCT
+#define ALIGN_STRUCT(x) __declspec(align(x))
+#endif
+#endif
+#ifndef likely
+#define likely(x) (x)
+#endif
+#ifndef unlikely
+#define unlikely(x) (x)
+#endif
+
+#include <stdint.h>
+#include <stdlib.h>
+
+/* Architecture-specific build options */
+/* FIXME: #pragma GCC push_options is only available on GCC */
+#if defined(__GNUC__)
+#if defined(__arm__) && __ARM_ARCH == 7
+/* According to ARM C Language Extensions Architecture specification,
+ * __ARM_NEON is defined to a value indicating the Advanced SIMD (NEON)
+ * architecture supported.
+ */
+#if !defined(__ARM_NEON) || !defined(__ARM_NEON__)
+#error "You must enable NEON instructions (e.g. -mfpu=neon) to use SSE2NEON."
+#endif
+#if !defined(__clang__)
+#pragma GCC push_options
+#pragma GCC target("fpu=neon")
+#endif
+#elif defined(__aarch64__)
+#if !defined(__clang__)
+#pragma GCC push_options
+#pragma GCC target("+simd")
+#endif
+#else
+#error "Unsupported target. Must be either ARMv7-A+NEON or ARMv8-A."
+#endif
+#endif
+
+#include <arm_neon.h>
+
+/* Rounding functions require either Aarch64 instructions or libm failback */
+#if !defined(__aarch64__)
+#include <math.h>
+#endif
+
+/* "__has_builtin" can be used to query support for built-in functions
+ * provided by gcc/clang and other compilers that support it.
+ */
+#ifndef __has_builtin /* GCC prior to 10 or non-clang compilers */
+/* Compatibility with gcc <= 9 */
+#if __GNUC__ <= 9
+#define __has_builtin(x) HAS##x
+#define HAS__builtin_popcount 1
+#define HAS__builtin_popcountll 1
+#else
+#define __has_builtin(x) 0
+#endif
+#endif
+
+/**
+ * MACRO for shuffle parameter for _mm_shuffle_ps().
+ * Argument fp3 is a digit[0123] that represents the fp from argument "b"
+ * of mm_shuffle_ps that will be placed in fp3 of result. fp2 is the same
+ * for fp2 in result. fp1 is a digit[0123] that represents the fp from
+ * argument "a" of mm_shuffle_ps that will be places in fp1 of result.
+ * fp0 is the same for fp0 of result.
+ */
+#define _MM_SHUFFLE(fp3, fp2, fp1, fp0) \
+ (((fp3) << 6) | ((fp2) << 4) | ((fp1) << 2) | ((fp0)))
+
+/* Rounding mode macros. */
+#define _MM_FROUND_TO_NEAREST_INT 0x00
+#define _MM_FROUND_TO_NEG_INF 0x01
+#define _MM_FROUND_TO_POS_INF 0x02
+#define _MM_FROUND_TO_ZERO 0x03
+#define _MM_FROUND_CUR_DIRECTION 0x04
+#define _MM_FROUND_NO_EXC 0x08
+#define _MM_ROUND_NEAREST 0x0000
+#define _MM_ROUND_DOWN 0x2000
+#define _MM_ROUND_UP 0x4000
+#define _MM_ROUND_TOWARD_ZERO 0x6000
+
+/* indicate immediate constant argument in a given range */
+#define __constrange(a, b) const
+
+/* A few intrinsics accept traditional data types like ints or floats, but
+ * most operate on data types that are specific to SSE.
+ * If a vector type ends in d, it contains doubles, and if it does not have
+ * a suffix, it contains floats. An integer vector type can contain any type
+ * of integer, from chars to shorts to unsigned long longs.
+ */
+typedef int64x1_t __m64;
+typedef float32x4_t __m128; /* 128-bit vector containing 4 floats */
+// On ARM 32-bit architecture, the float64x2_t is not supported.
+// The data type __m128d should be represented in a different way for related
+// intrinsic conversion.
+#if defined(__aarch64__)
+typedef float64x2_t __m128d; /* 128-bit vector containing 2 doubles */
+#else
+typedef float32x4_t __m128d;
+#endif
+typedef int64x2_t __m128i; /* 128-bit vector containing integers */
+
+/* type-safe casting between types */
+
+#define vreinterpretq_m128_f16(x) vreinterpretq_f32_f16(x)
+#define vreinterpretq_m128_f32(x) (x)
+#define vreinterpretq_m128_f64(x) vreinterpretq_f32_f64(x)
+
+#define vreinterpretq_m128_u8(x) vreinterpretq_f32_u8(x)
+#define vreinterpretq_m128_u16(x) vreinterpretq_f32_u16(x)
+#define vreinterpretq_m128_u32(x) vreinterpretq_f32_u32(x)
+#define vreinterpretq_m128_u64(x) vreinterpretq_f32_u64(x)
+
+#define vreinterpretq_m128_s8(x) vreinterpretq_f32_s8(x)
+#define vreinterpretq_m128_s16(x) vreinterpretq_f32_s16(x)
+#define vreinterpretq_m128_s32(x) vreinterpretq_f32_s32(x)
+#define vreinterpretq_m128_s64(x) vreinterpretq_f32_s64(x)
+
+#define vreinterpretq_f16_m128(x) vreinterpretq_f16_f32(x)
+#define vreinterpretq_f32_m128(x) (x)
+#define vreinterpretq_f64_m128(x) vreinterpretq_f64_f32(x)
+
+#define vreinterpretq_u8_m128(x) vreinterpretq_u8_f32(x)
+#define vreinterpretq_u16_m128(x) vreinterpretq_u16_f32(x)
+#define vreinterpretq_u32_m128(x) vreinterpretq_u32_f32(x)
+#define vreinterpretq_u64_m128(x) vreinterpretq_u64_f32(x)
+
+#define vreinterpretq_s8_m128(x) vreinterpretq_s8_f32(x)
+#define vreinterpretq_s16_m128(x) vreinterpretq_s16_f32(x)
+#define vreinterpretq_s32_m128(x) vreinterpretq_s32_f32(x)
+#define vreinterpretq_s64_m128(x) vreinterpretq_s64_f32(x)
+
+#define vreinterpretq_m128i_s8(x) vreinterpretq_s64_s8(x)
+#define vreinterpretq_m128i_s16(x) vreinterpretq_s64_s16(x)
+#define vreinterpretq_m128i_s32(x) vreinterpretq_s64_s32(x)
+#define vreinterpretq_m128i_s64(x) (x)
+
+#define vreinterpretq_m128i_u8(x) vreinterpretq_s64_u8(x)
+#define vreinterpretq_m128i_u16(x) vreinterpretq_s64_u16(x)
+#define vreinterpretq_m128i_u32(x) vreinterpretq_s64_u32(x)
+#define vreinterpretq_m128i_u64(x) vreinterpretq_s64_u64(x)
+
+#define vreinterpretq_f32_m128i(x) vreinterpretq_f32_s64(x)
+#define vreinterpretq_f64_m128i(x) vreinterpretq_f64_s64(x)
+
+#define vreinterpretq_s8_m128i(x) vreinterpretq_s8_s64(x)
+#define vreinterpretq_s16_m128i(x) vreinterpretq_s16_s64(x)
+#define vreinterpretq_s32_m128i(x) vreinterpretq_s32_s64(x)
+#define vreinterpretq_s64_m128i(x) (x)
+
+#define vreinterpretq_u8_m128i(x) vreinterpretq_u8_s64(x)
+#define vreinterpretq_u16_m128i(x) vreinterpretq_u16_s64(x)
+#define vreinterpretq_u32_m128i(x) vreinterpretq_u32_s64(x)
+#define vreinterpretq_u64_m128i(x) vreinterpretq_u64_s64(x)
+
+#define vreinterpret_m64_s8(x) vreinterpret_s64_s8(x)
+#define vreinterpret_m64_s16(x) vreinterpret_s64_s16(x)
+#define vreinterpret_m64_s32(x) vreinterpret_s64_s32(x)
+#define vreinterpret_m64_s64(x) (x)
+
+#define vreinterpret_m64_u8(x) vreinterpret_s64_u8(x)
+#define vreinterpret_m64_u16(x) vreinterpret_s64_u16(x)
+#define vreinterpret_m64_u32(x) vreinterpret_s64_u32(x)
+#define vreinterpret_m64_u64(x) vreinterpret_s64_u64(x)
+
+#define vreinterpret_m64_f16(x) vreinterpret_s64_f16(x)
+#define vreinterpret_m64_f32(x) vreinterpret_s64_f32(x)
+#define vreinterpret_m64_f64(x) vreinterpret_s64_f64(x)
+
+#define vreinterpret_u8_m64(x) vreinterpret_u8_s64(x)
+#define vreinterpret_u16_m64(x) vreinterpret_u16_s64(x)
+#define vreinterpret_u32_m64(x) vreinterpret_u32_s64(x)
+#define vreinterpret_u64_m64(x) vreinterpret_u64_s64(x)
+
+#define vreinterpret_s8_m64(x) vreinterpret_s8_s64(x)
+#define vreinterpret_s16_m64(x) vreinterpret_s16_s64(x)
+#define vreinterpret_s32_m64(x) vreinterpret_s32_s64(x)
+#define vreinterpret_s64_m64(x) (x)
+
+#define vreinterpret_f32_m64(x) vreinterpret_f32_s64(x)
+
+#if defined(__aarch64__)
+#define vreinterpretq_m128d_s32(x) vreinterpretq_f64_s32(x)
+#define vreinterpretq_m128d_s64(x) vreinterpretq_f64_s64(x)
+
+#define vreinterpretq_m128d_u64(x) vreinterpretq_f64_u64(x)
+
+#define vreinterpretq_m128d_f32(x) vreinterpretq_f64_f32(x)
+#define vreinterpretq_m128d_f64(x) (x)
+
+#define vreinterpretq_s64_m128d(x) vreinterpretq_s64_f64(x)
+
+#define vreinterpretq_u64_m128d(x) vreinterpretq_u64_f64(x)
+
+#define vreinterpretq_f64_m128d(x) (x)
+#define vreinterpretq_f32_m128d(x) vreinterpretq_f32_f64(x)
+#else
+#define vreinterpretq_m128d_s32(x) vreinterpretq_f32_s32(x)
+#define vreinterpretq_m128d_s64(x) vreinterpretq_f32_s64(x)
+
+#define vreinterpretq_m128d_u32(x) vreinterpretq_f32_u32(x)
+#define vreinterpretq_m128d_u64(x) vreinterpretq_f32_u64(x)
+
+#define vreinterpretq_m128d_f32(x) (x)
+
+#define vreinterpretq_s64_m128d(x) vreinterpretq_s64_f32(x)
+
+#define vreinterpretq_u32_m128d(x) vreinterpretq_u32_f32(x)
+#define vreinterpretq_u64_m128d(x) vreinterpretq_u64_f32(x)
+
+#define vreinterpretq_f32_m128d(x) (x)
+#endif
+
+// A struct is defined in this header file called 'SIMDVec' which can be used
+// by applications which attempt to access the contents of an _m128 struct
+// directly. It is important to note that accessing the __m128 struct directly
+// is bad coding practice by Microsoft: @see:
+// https://msdn.microsoft.com/en-us/library/ayeb3ayc.aspx
+//
+// However, some legacy source code may try to access the contents of an __m128
+// struct directly so the developer can use the SIMDVec as an alias for it. Any
+// casting must be done manually by the developer, as you cannot cast or
+// otherwise alias the base NEON data type for intrinsic operations.
+//
+// union intended to allow direct access to an __m128 variable using the names
+// that the MSVC compiler provides. This union should really only be used when
+// trying to access the members of the vector as integer values. GCC/clang
+// allow native access to the float members through a simple array access
+// operator (in C since 4.6, in C++ since 4.8).
+//
+// Ideally direct accesses to SIMD vectors should not be used since it can cause
+// a performance hit. If it really is needed however, the original __m128
+// variable can be aliased with a pointer to this union and used to access
+// individual components. The use of this union should be hidden behind a macro
+// that is used throughout the codebase to access the members instead of always
+// declaring this type of variable.
+typedef union ALIGN_STRUCT(16) SIMDVec {
+ float m128_f32[4]; // as floats - DON'T USE. Added for convenience.
+ int8_t m128_i8[16]; // as signed 8-bit integers.
+ int16_t m128_i16[8]; // as signed 16-bit integers.
+ int32_t m128_i32[4]; // as signed 32-bit integers.
+ int64_t m128_i64[2]; // as signed 64-bit integers.
+ uint8_t m128_u8[16]; // as unsigned 8-bit integers.
+ uint16_t m128_u16[8]; // as unsigned 16-bit integers.
+ uint32_t m128_u32[4]; // as unsigned 32-bit integers.
+ uint64_t m128_u64[2]; // as unsigned 64-bit integers.
+} SIMDVec;
+
+// casting using SIMDVec
+#define vreinterpretq_nth_u64_m128i(x, n) (((SIMDVec *) &x)->m128_u64[n])
+#define vreinterpretq_nth_u32_m128i(x, n) (((SIMDVec *) &x)->m128_u32[n])
+#define vreinterpretq_nth_u8_m128i(x, n) (((SIMDVec *) &x)->m128_u8[n])
+
+/* Backwards compatibility for compilers with lack of specific type support */
+
+// Older gcc does not define vld1q_u8_x4 type
+#if defined(__GNUC__) && !defined(__clang__) && \
+ ((__GNUC__ == 10 && (__GNUC_MINOR__ <= 1)) || \
+ (__GNUC__ == 9 && (__GNUC_MINOR__ <= 3)) || \
+ (__GNUC__ == 8 && (__GNUC_MINOR__ <= 4)) || __GNUC__ <= 7)
+FORCE_INLINE uint8x16x4_t _sse2neon_vld1q_u8_x4(const uint8_t *p)
+{
+ uint8x16x4_t ret;
+ ret.val[0] = vld1q_u8(p + 0);
+ ret.val[1] = vld1q_u8(p + 16);
+ ret.val[2] = vld1q_u8(p + 32);
+ ret.val[3] = vld1q_u8(p + 48);
+ return ret;
+}
+#else
+// Wraps vld1q_u8_x4
+FORCE_INLINE uint8x16x4_t _sse2neon_vld1q_u8_x4(const uint8_t *p)
+{
+ return vld1q_u8_x4(p);
+}
+#endif
+
+/* Function Naming Conventions
+ * The naming convention of SSE intrinsics is straightforward. A generic SSE
+ * intrinsic function is given as follows:
+ * _mm_<name>_<data_type>
+ *
+ * The parts of this format are given as follows:
+ * 1. <name> describes the operation performed by the intrinsic
+ * 2. <data_type> identifies the data type of the function's primary arguments
+ *
+ * This last part, <data_type>, is a little complicated. It identifies the
+ * content of the input values, and can be set to any of the following values:
+ * + ps - vectors contain floats (ps stands for packed single-precision)
+ * + pd - vectors cantain doubles (pd stands for packed double-precision)
+ * + epi8/epi16/epi32/epi64 - vectors contain 8-bit/16-bit/32-bit/64-bit
+ * signed integers
+ * + epu8/epu16/epu32/epu64 - vectors contain 8-bit/16-bit/32-bit/64-bit
+ * unsigned integers
+ * + si128 - unspecified 128-bit vector or 256-bit vector
+ * + m128/m128i/m128d - identifies input vector types when they are different
+ * than the type of the returned vector
+ *
+ * For example, _mm_setzero_ps. The _mm implies that the function returns
+ * a 128-bit vector. The _ps at the end implies that the argument vectors
+ * contain floats.
+ *
+ * A complete example: Byte Shuffle - pshufb (_mm_shuffle_epi8)
+ * // Set packed 16-bit integers. 128 bits, 8 short, per 16 bits
+ * __m128i v_in = _mm_setr_epi16(1, 2, 3, 4, 5, 6, 7, 8);
+ * // Set packed 8-bit integers
+ * // 128 bits, 16 chars, per 8 bits
+ * __m128i v_perm = _mm_setr_epi8(1, 0, 2, 3, 8, 9, 10, 11,
+ * 4, 5, 12, 13, 6, 7, 14, 15);
+ * // Shuffle packed 8-bit integers
+ * __m128i v_out = _mm_shuffle_epi8(v_in, v_perm); // pshufb
+ *
+ * Data (Number, Binary, Byte Index):
+ +------+------+-------------+------+------+-------------+
+ | 1 | 2 | 3 | 4 | Number
+ +------+------+------+------+------+------+------+------+
+ | 0000 | 0001 | 0000 | 0010 | 0000 | 0011 | 0000 | 0100 | Binary
+ +------+------+------+------+------+------+------+------+
+ | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | Index
+ +------+------+------+------+------+------+------+------+
+
+ +------+------+------+------+------+------+------+------+
+ | 5 | 6 | 7 | 8 | Number
+ +------+------+------+------+------+------+------+------+
+ | 0000 | 0101 | 0000 | 0110 | 0000 | 0111 | 0000 | 1000 | Binary
+ +------+------+------+------+------+------+------+------+
+ | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | Index
+ +------+------+------+------+------+------+------+------+
+ * Index (Byte Index):
+ +------+------+------+------+------+------+------+------+
+ | 1 | 0 | 2 | 3 | 8 | 9 | 10 | 11 |
+ +------+------+------+------+------+------+------+------+
+
+ +------+------+------+------+------+------+------+------+
+ | 4 | 5 | 12 | 13 | 6 | 7 | 14 | 15 |
+ +------+------+------+------+------+------+------+------+
+ * Result:
+ +------+------+------+------+------+------+------+------+
+ | 1 | 0 | 2 | 3 | 8 | 9 | 10 | 11 | Index
+ +------+------+------+------+------+------+------+------+
+ | 0001 | 0000 | 0000 | 0010 | 0000 | 0101 | 0000 | 0110 | Binary
+ +------+------+------+------+------+------+------+------+
+ | 256 | 2 | 5 | 6 | Number
+ +------+------+------+------+------+------+------+------+
+
+ +------+------+------+------+------+------+------+------+
+ | 4 | 5 | 12 | 13 | 6 | 7 | 14 | 15 | Index
+ +------+------+------+------+------+------+------+------+
+ | 0000 | 0011 | 0000 | 0111 | 0000 | 0100 | 0000 | 1000 | Binary
+ +------+------+------+------+------+------+------+------+
+ | 3 | 7 | 4 | 8 | Number
+ +------+------+------+------+------+------+-------------+
+ */
+
+/* Set/get methods */
+
+/* Constants for use with _mm_prefetch. */
+enum _mm_hint {
+ _MM_HINT_NTA = 0, /* load data to L1 and L2 cache, mark it as NTA */
+ _MM_HINT_T0 = 1, /* load data to L1 and L2 cache */
+ _MM_HINT_T1 = 2, /* load data to L2 cache only */
+ _MM_HINT_T2 = 3, /* load data to L2 cache only, mark it as NTA */
+ _MM_HINT_ENTA = 4, /* exclusive version of _MM_HINT_NTA */
+ _MM_HINT_ET0 = 5, /* exclusive version of _MM_HINT_T0 */
+ _MM_HINT_ET1 = 6, /* exclusive version of _MM_HINT_T1 */
+ _MM_HINT_ET2 = 7 /* exclusive version of _MM_HINT_T2 */
+};
+
+// Loads one cache line of data from address p to a location closer to the
+// processor. https://msdn.microsoft.com/en-us/library/84szxsww(v=vs.100).aspx
+FORCE_INLINE void _mm_prefetch(const void *p, int i)
+{
+ (void) i;
+ __builtin_prefetch(p);
+}
+
+// Pause the processor. This is typically used in spin-wait loops and depending
+// on the x86 processor typical values are in the 40-100 cycle range. The
+// 'yield' instruction isn't a good fit beacuse it's effectively a nop on most
+// Arm cores. Experience with several databases has shown has shown an 'isb' is
+// a reasonable approximation.
+FORCE_INLINE void _mm_pause()
+{
+ __asm__ __volatile__("isb\n");
+}
+
+// Copy the lower single-precision (32-bit) floating-point element of a to dst.
+//
+// dst[31:0] := a[31:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtss_f32
+FORCE_INLINE float _mm_cvtss_f32(__m128 a)
+{
+ return vgetq_lane_f32(vreinterpretq_f32_m128(a), 0);
+}
+
+// Convert the lower single-precision (32-bit) floating-point element in b to a
+// double-precision (64-bit) floating-point element, store the result in the
+// lower element of dst, and copy the upper element from a to the upper element
+// of dst.
+//
+// dst[63:0] := Convert_FP32_To_FP64(b[31:0])
+// dst[127:64] := a[127:64]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtss_sd
+FORCE_INLINE __m128d _mm_cvtss_sd(__m128d a, __m128 b)
+{
+ double d = (double) vgetq_lane_f32(vreinterpretq_f32_m128(b), 0);
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(
+ vsetq_lane_f64(d, vreinterpretq_f64_m128d(a), 0));
+#else
+ return vreinterpretq_m128d_s64(
+ vsetq_lane_s64(*(int64_t *) &d, vreinterpretq_s64_m128d(a), 0));
+#endif
+}
+
+// Convert the lower single-precision (32-bit) floating-point element in a to a
+// 32-bit integer, and store the result in dst.
+//
+// dst[31:0] := Convert_FP32_To_Int32(a[31:0])
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtss_si32
+#define _mm_cvtss_si32(a) _mm_cvt_ss2si(a)
+
+// Convert the lower single-precision (32-bit) floating-point element in a to a
+// 64-bit integer, and store the result in dst.
+//
+// dst[63:0] := Convert_FP32_To_Int64(a[31:0])
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtss_si64
+FORCE_INLINE int _mm_cvtss_si64(__m128 a)
+{
+#if defined(__aarch64__)
+ return vgetq_lane_s64(
+ vreinterpretq_s64_s32(vcvtnq_s32_f32(vreinterpretq_f32_m128(a))), 0);
+#else
+ float32_t data = vgetq_lane_f32(vreinterpretq_f32_m128(a), 0);
+ float32_t diff = data - floor(data);
+ if (diff > 0.5)
+ return (int64_t) ceil(data);
+ if (unlikely(diff == 0.5)) {
+ int64_t f = (int64_t) floor(data);
+ int64_t c = (int64_t) ceil(data);
+ return c & 1 ? f : c;
+ }
+ return (int64_t) floor(data);
+#endif
+}
+
+// Convert packed single-precision (32-bit) floating-point elements in a to
+// packed 32-bit integers with truncation, and store the results in dst.
+//
+// FOR j := 0 to 1
+// i := 32*j
+// dst[i+31:i] := Convert_FP32_To_Int32_Truncate(a[i+31:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtt_ps2pi
+FORCE_INLINE __m64 _mm_cvtt_ps2pi(__m128 a)
+{
+ return vreinterpret_m64_s32(
+ vget_low_s32(vcvtq_s32_f32(vreinterpretq_f32_m128(a))));
+}
+
+// Convert the lower single-precision (32-bit) floating-point element in a to a
+// 32-bit integer with truncation, and store the result in dst.
+//
+// dst[31:0] := Convert_FP32_To_Int32_Truncate(a[31:0])
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtt_ss2si
+FORCE_INLINE int _mm_cvtt_ss2si(__m128 a)
+{
+ return vgetq_lane_s32(vcvtq_s32_f32(vreinterpretq_f32_m128(a)), 0);
+}
+
+// Convert packed single-precision (32-bit) floating-point elements in a to
+// packed 32-bit integers with truncation, and store the results in dst.
+//
+// FOR j := 0 to 1
+// i := 32*j
+// dst[i+31:i] := Convert_FP32_To_Int32_Truncate(a[i+31:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvttps_pi32
+#define _mm_cvttps_pi32(a) _mm_cvtt_ps2pi(a)
+
+// Convert the lower single-precision (32-bit) floating-point element in a to a
+// 32-bit integer with truncation, and store the result in dst.
+//
+// dst[31:0] := Convert_FP32_To_Int32_Truncate(a[31:0])
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvttss_si32
+#define _mm_cvttss_si32(a) _mm_cvtt_ss2si(a)
+
+// Convert the lower single-precision (32-bit) floating-point element in a to a
+// 64-bit integer with truncation, and store the result in dst.
+//
+// dst[63:0] := Convert_FP32_To_Int64_Truncate(a[31:0])
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvttss_si64
+FORCE_INLINE int64_t _mm_cvttss_si64(__m128 a)
+{
+ return vgetq_lane_s64(
+ vmovl_s32(vget_low_s32(vcvtq_s32_f32(vreinterpretq_f32_m128(a)))), 0);
+}
+
+// Sets the 128-bit value to zero
+// https://msdn.microsoft.com/en-us/library/vstudio/ys7dw0kh(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_setzero_si128(void)
+{
+ return vreinterpretq_m128i_s32(vdupq_n_s32(0));
+}
+
+// Clears the four single-precision, floating-point values.
+// https://msdn.microsoft.com/en-us/library/vstudio/tk1t2tbz(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_setzero_ps(void)
+{
+ return vreinterpretq_m128_f32(vdupq_n_f32(0));
+}
+
+// Return vector of type __m128d with all elements set to zero.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_setzero_pd
+FORCE_INLINE __m128d _mm_setzero_pd(void)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(vdupq_n_f64(0));
+#else
+ return vreinterpretq_m128d_f32(vdupq_n_f32(0));
+#endif
+}
+
+// Sets the four single-precision, floating-point values to w.
+//
+// r0 := r1 := r2 := r3 := w
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/2x1se8ha(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_set1_ps(float _w)
+{
+ return vreinterpretq_m128_f32(vdupq_n_f32(_w));
+}
+
+// Sets the four single-precision, floating-point values to w.
+// https://msdn.microsoft.com/en-us/library/vstudio/2x1se8ha(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_set_ps1(float _w)
+{
+ return vreinterpretq_m128_f32(vdupq_n_f32(_w));
+}
+
+// Sets the four single-precision, floating-point values to the four inputs.
+// https://msdn.microsoft.com/en-us/library/vstudio/afh0zf75(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_set_ps(float w, float z, float y, float x)
+{
+ float ALIGN_STRUCT(16) data[4] = {x, y, z, w};
+ return vreinterpretq_m128_f32(vld1q_f32(data));
+}
+
+// Copy single-precision (32-bit) floating-point element a to the lower element
+// of dst, and zero the upper 3 elements.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_set_ss
+FORCE_INLINE __m128 _mm_set_ss(float a)
+{
+ float ALIGN_STRUCT(16) data[4] = {a, 0, 0, 0};
+ return vreinterpretq_m128_f32(vld1q_f32(data));
+}
+
+// Sets the four single-precision, floating-point values to the four inputs in
+// reverse order.
+// https://msdn.microsoft.com/en-us/library/vstudio/d2172ct3(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_setr_ps(float w, float z, float y, float x)
+{
+ float ALIGN_STRUCT(16) data[4] = {w, z, y, x};
+ return vreinterpretq_m128_f32(vld1q_f32(data));
+}
+
+// Sets the 8 signed 16-bit integer values in reverse order.
+//
+// Return Value
+// r0 := w0
+// r1 := w1
+// ...
+// r7 := w7
+FORCE_INLINE __m128i _mm_setr_epi16(short w0,
+ short w1,
+ short w2,
+ short w3,
+ short w4,
+ short w5,
+ short w6,
+ short w7)
+{
+ int16_t ALIGN_STRUCT(16) data[8] = {w0, w1, w2, w3, w4, w5, w6, w7};
+ return vreinterpretq_m128i_s16(vld1q_s16((int16_t *) data));
+}
+
+// Sets the 4 signed 32-bit integer values in reverse order
+// https://technet.microsoft.com/en-us/library/security/27yb3ee5(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_setr_epi32(int i3, int i2, int i1, int i0)
+{
+ int32_t ALIGN_STRUCT(16) data[4] = {i3, i2, i1, i0};
+ return vreinterpretq_m128i_s32(vld1q_s32(data));
+}
+
+// Set packed 64-bit integers in dst with the supplied values in reverse order.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_setr_epi64
+FORCE_INLINE __m128i _mm_setr_epi64(__m64 e1, __m64 e0)
+{
+ return vreinterpretq_m128i_s64(vcombine_s64(e1, e0));
+}
+
+// Sets the 16 signed 8-bit integer values to b.
+//
+// r0 := b
+// r1 := b
+// ...
+// r15 := b
+//
+// https://msdn.microsoft.com/en-us/library/6e14xhyf(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_set1_epi8(signed char w)
+{
+ return vreinterpretq_m128i_s8(vdupq_n_s8(w));
+}
+
+// Broadcast double-precision (64-bit) floating-point value a to all elements of
+// dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_set1_pd
+FORCE_INLINE __m128d _mm_set1_pd(double d)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(vdupq_n_f64(d));
+#else
+ return vreinterpretq_m128d_s64(vdupq_n_s64(*(int64_t *) &d));
+#endif
+}
+
+// Sets the 8 signed 16-bit integer values to w.
+//
+// r0 := w
+// r1 := w
+// ...
+// r7 := w
+//
+// https://msdn.microsoft.com/en-us/library/k0ya3x0e(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_set1_epi16(short w)
+{
+ return vreinterpretq_m128i_s16(vdupq_n_s16(w));
+}
+
+// Sets the 16 signed 8-bit integer values.
+// https://msdn.microsoft.com/en-us/library/x0cx8zd3(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_set_epi8(signed char b15,
+ signed char b14,
+ signed char b13,
+ signed char b12,
+ signed char b11,
+ signed char b10,
+ signed char b9,
+ signed char b8,
+ signed char b7,
+ signed char b6,
+ signed char b5,
+ signed char b4,
+ signed char b3,
+ signed char b2,
+ signed char b1,
+ signed char b0)
+{
+ int8_t ALIGN_STRUCT(16)
+ data[16] = {(int8_t) b0, (int8_t) b1, (int8_t) b2, (int8_t) b3,
+ (int8_t) b4, (int8_t) b5, (int8_t) b6, (int8_t) b7,
+ (int8_t) b8, (int8_t) b9, (int8_t) b10, (int8_t) b11,
+ (int8_t) b12, (int8_t) b13, (int8_t) b14, (int8_t) b15};
+ return (__m128i) vld1q_s8(data);
+}
+
+// Sets the 8 signed 16-bit integer values.
+// https://msdn.microsoft.com/en-au/library/3e0fek84(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_set_epi16(short i7,
+ short i6,
+ short i5,
+ short i4,
+ short i3,
+ short i2,
+ short i1,
+ short i0)
+{
+ int16_t ALIGN_STRUCT(16) data[8] = {i0, i1, i2, i3, i4, i5, i6, i7};
+ return vreinterpretq_m128i_s16(vld1q_s16(data));
+}
+
+// Sets the 16 signed 8-bit integer values in reverse order.
+// https://msdn.microsoft.com/en-us/library/2khb9c7k(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_setr_epi8(signed char b0,
+ signed char b1,
+ signed char b2,
+ signed char b3,
+ signed char b4,
+ signed char b5,
+ signed char b6,
+ signed char b7,
+ signed char b8,
+ signed char b9,
+ signed char b10,
+ signed char b11,
+ signed char b12,
+ signed char b13,
+ signed char b14,
+ signed char b15)
+{
+ int8_t ALIGN_STRUCT(16)
+ data[16] = {(int8_t) b0, (int8_t) b1, (int8_t) b2, (int8_t) b3,
+ (int8_t) b4, (int8_t) b5, (int8_t) b6, (int8_t) b7,
+ (int8_t) b8, (int8_t) b9, (int8_t) b10, (int8_t) b11,
+ (int8_t) b12, (int8_t) b13, (int8_t) b14, (int8_t) b15};
+ return (__m128i) vld1q_s8(data);
+}
+
+// Sets the 4 signed 32-bit integer values to i.
+//
+// r0 := i
+// r1 := i
+// r2 := i
+// r3 := I
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/h4xscxat(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_set1_epi32(int _i)
+{
+ return vreinterpretq_m128i_s32(vdupq_n_s32(_i));
+}
+
+// Sets the 2 signed 64-bit integer values to i.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/whtfzhzk(v=vs.100)
+FORCE_INLINE __m128i _mm_set1_epi64(__m64 _i)
+{
+ return vreinterpretq_m128i_s64(vdupq_n_s64((int64_t) _i));
+}
+
+// Sets the 2 signed 64-bit integer values to i.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_set1_epi64x
+FORCE_INLINE __m128i _mm_set1_epi64x(int64_t _i)
+{
+ return vreinterpretq_m128i_s64(vdupq_n_s64(_i));
+}
+
+// Sets the 4 signed 32-bit integer values.
+// https://msdn.microsoft.com/en-us/library/vstudio/019beekt(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_set_epi32(int i3, int i2, int i1, int i0)
+{
+ int32_t ALIGN_STRUCT(16) data[4] = {i0, i1, i2, i3};
+ return vreinterpretq_m128i_s32(vld1q_s32(data));
+}
+
+// Returns the __m128i structure with its two 64-bit integer values
+// initialized to the values of the two 64-bit integers passed in.
+// https://msdn.microsoft.com/en-us/library/dk2sdw0h(v=vs.120).aspx
+FORCE_INLINE __m128i _mm_set_epi64x(int64_t i1, int64_t i2)
+{
+ return vreinterpretq_m128i_s64(
+ vcombine_s64(vcreate_s64(i2), vcreate_s64(i1)));
+}
+
+// Returns the __m128i structure with its two 64-bit integer values
+// initialized to the values of the two 64-bit integers passed in.
+// https://msdn.microsoft.com/en-us/library/dk2sdw0h(v=vs.120).aspx
+FORCE_INLINE __m128i _mm_set_epi64(__m64 i1, __m64 i2)
+{
+ return _mm_set_epi64x((int64_t) i1, (int64_t) i2);
+}
+
+// Set packed double-precision (64-bit) floating-point elements in dst with the
+// supplied values.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_set_pd
+FORCE_INLINE __m128d _mm_set_pd(double e1, double e0)
+{
+ double ALIGN_STRUCT(16) data[2] = {e0, e1};
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(vld1q_f64((float64_t *) data));
+#else
+ return vreinterpretq_m128d_f32(vld1q_f32((float32_t *) data));
+#endif
+}
+
+// Set packed double-precision (64-bit) floating-point elements in dst with the
+// supplied values in reverse order.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_setr_pd
+FORCE_INLINE __m128d _mm_setr_pd(double e1, double e0)
+{
+ return _mm_set_pd(e0, e1);
+}
+
+// Copy double-precision (64-bit) floating-point element a to the lower element
+// of dst, and zero the upper element.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_set_sd
+FORCE_INLINE __m128d _mm_set_sd(double a)
+{
+ return _mm_set_pd(0, a);
+}
+
+// Broadcast double-precision (64-bit) floating-point value a to all elements of
+// dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_set_pd1
+#define _mm_set_pd1 _mm_set1_pd
+
+// Stores four single-precision, floating-point values.
+// https://msdn.microsoft.com/en-us/library/vstudio/s3h4ay6y(v=vs.100).aspx
+FORCE_INLINE void _mm_store_ps(float *p, __m128 a)
+{
+ vst1q_f32(p, vreinterpretq_f32_m128(a));
+}
+
+// Store the lower single-precision (32-bit) floating-point element from a into
+// 4 contiguous elements in memory. mem_addr must be aligned on a 16-byte
+// boundary or a general-protection exception may be generated.
+//
+// MEM[mem_addr+31:mem_addr] := a[31:0]
+// MEM[mem_addr+63:mem_addr+32] := a[31:0]
+// MEM[mem_addr+95:mem_addr+64] := a[31:0]
+// MEM[mem_addr+127:mem_addr+96] := a[31:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_store_ps1
+FORCE_INLINE void _mm_store_ps1(float *p, __m128 a)
+{
+ float32_t a0 = vgetq_lane_f32(vreinterpretq_f32_m128(a), 0);
+ vst1q_f32(p, vdupq_n_f32(a0));
+}
+
+// Store the lower single-precision (32-bit) floating-point element from a into
+// 4 contiguous elements in memory. mem_addr must be aligned on a 16-byte
+// boundary or a general-protection exception may be generated.
+//
+// MEM[mem_addr+31:mem_addr] := a[31:0]
+// MEM[mem_addr+63:mem_addr+32] := a[31:0]
+// MEM[mem_addr+95:mem_addr+64] := a[31:0]
+// MEM[mem_addr+127:mem_addr+96] := a[31:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_store1_ps
+#define _mm_store1_ps _mm_store_ps1
+
+// Store 4 single-precision (32-bit) floating-point elements from a into memory
+// in reverse order. mem_addr must be aligned on a 16-byte boundary or a
+// general-protection exception may be generated.
+//
+// MEM[mem_addr+31:mem_addr] := a[127:96]
+// MEM[mem_addr+63:mem_addr+32] := a[95:64]
+// MEM[mem_addr+95:mem_addr+64] := a[63:32]
+// MEM[mem_addr+127:mem_addr+96] := a[31:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_storer_ps
+FORCE_INLINE void _mm_storer_ps(float *p, __m128 a)
+{
+ float32x4_t tmp = vrev64q_f32(vreinterpretq_f32_m128(a));
+ float32x4_t rev = vextq_f32(tmp, tmp, 2);
+ vst1q_f32(p, rev);
+}
+
+// Stores four single-precision, floating-point values.
+// https://msdn.microsoft.com/en-us/library/44e30x22(v=vs.100).aspx
+FORCE_INLINE void _mm_storeu_ps(float *p, __m128 a)
+{
+ vst1q_f32(p, vreinterpretq_f32_m128(a));
+}
+
+// Stores four 32-bit integer values as (as a __m128i value) at the address p.
+// https://msdn.microsoft.com/en-us/library/vstudio/edk11s13(v=vs.100).aspx
+FORCE_INLINE void _mm_store_si128(__m128i *p, __m128i a)
+{
+ vst1q_s32((int32_t *) p, vreinterpretq_s32_m128i(a));
+}
+
+// Stores four 32-bit integer values as (as a __m128i value) at the address p.
+// https://msdn.microsoft.com/en-us/library/vstudio/edk11s13(v=vs.100).aspx
+FORCE_INLINE void _mm_storeu_si128(__m128i *p, __m128i a)
+{
+ vst1q_s32((int32_t *) p, vreinterpretq_s32_m128i(a));
+}
+
+// Stores the lower single - precision, floating - point value.
+// https://msdn.microsoft.com/en-us/library/tzz10fbx(v=vs.100).aspx
+FORCE_INLINE void _mm_store_ss(float *p, __m128 a)
+{
+ vst1q_lane_f32(p, vreinterpretq_f32_m128(a), 0);
+}
+
+// Store 128-bits (composed of 2 packed double-precision (64-bit) floating-point
+// elements) from a into memory. mem_addr must be aligned on a 16-byte boundary
+// or a general-protection exception may be generated.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_store_pd
+FORCE_INLINE void _mm_store_pd(double *mem_addr, __m128d a)
+{
+#if defined(__aarch64__)
+ vst1q_f64((float64_t *) mem_addr, vreinterpretq_f64_m128d(a));
+#else
+ vst1q_f32((float32_t *) mem_addr, vreinterpretq_f32_m128d(a));
+#endif
+}
+
+// Store the upper double-precision (64-bit) floating-point element from a into
+// memory.
+//
+// MEM[mem_addr+63:mem_addr] := a[127:64]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_storeh_pd
+FORCE_INLINE void _mm_storeh_pd(double *mem_addr, __m128d a)
+{
+#if defined(__aarch64__)
+ vst1_f64((float64_t *) mem_addr, vget_high_f64(vreinterpretq_f64_m128d(a)));
+#else
+ vst1_f32((float32_t *) mem_addr, vget_high_f32(vreinterpretq_f32_m128d(a)));
+#endif
+}
+
+// Store the lower double-precision (64-bit) floating-point element from a into
+// memory.
+//
+// MEM[mem_addr+63:mem_addr] := a[63:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_storel_pd
+FORCE_INLINE void _mm_storel_pd(double *mem_addr, __m128d a)
+{
+#if defined(__aarch64__)
+ vst1_f64((float64_t *) mem_addr, vget_low_f64(vreinterpretq_f64_m128d(a)));
+#else
+ vst1_f32((float32_t *) mem_addr, vget_low_f32(vreinterpretq_f32_m128d(a)));
+#endif
+}
+
+// Store 2 double-precision (64-bit) floating-point elements from a into memory
+// in reverse order. mem_addr must be aligned on a 16-byte boundary or a
+// general-protection exception may be generated.
+//
+// MEM[mem_addr+63:mem_addr] := a[127:64]
+// MEM[mem_addr+127:mem_addr+64] := a[63:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_storer_pd
+FORCE_INLINE void _mm_storer_pd(double *mem_addr, __m128d a)
+{
+ float32x4_t f = vreinterpretq_f32_m128d(a);
+ _mm_store_pd(mem_addr, vreinterpretq_m128d_f32(vextq_f32(f, f, 2)));
+}
+
+// Store the lower double-precision (64-bit) floating-point element from a into
+// 2 contiguous elements in memory. mem_addr must be aligned on a 16-byte
+// boundary or a general-protection exception may be generated.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_store_pd1
+FORCE_INLINE void _mm_store_pd1(double *mem_addr, __m128d a)
+{
+#if defined(__aarch64__)
+ float64x1_t a_low = vget_low_f64(vreinterpretq_f64_m128d(a));
+ vst1q_f64((float64_t *) mem_addr,
+ vreinterpretq_f64_m128d(vcombine_f64(a_low, a_low)));
+#else
+ float32x2_t a_low = vget_low_f32(vreinterpretq_f32_m128d(a));
+ vst1q_f32((float32_t *) mem_addr,
+ vreinterpretq_f32_m128d(vcombine_f32(a_low, a_low)));
+#endif
+}
+
+// Store the lower double-precision (64-bit) floating-point element from a into
+// 2 contiguous elements in memory. mem_addr must be aligned on a 16-byte
+// boundary or a general-protection exception may be generated.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#expand=9,526,5601&text=_mm_store1_pd
+#define _mm_store1_pd _mm_store_pd1
+
+// Store 128-bits (composed of 2 packed double-precision (64-bit) floating-point
+// elements) from a into memory. mem_addr does not need to be aligned on any
+// particular boundary.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_storeu_pd
+FORCE_INLINE void _mm_storeu_pd(double *mem_addr, __m128d a)
+{
+ _mm_store_pd(mem_addr, a);
+}
+
+// Reads the lower 64 bits of b and stores them into the lower 64 bits of a.
+// https://msdn.microsoft.com/en-us/library/hhwf428f%28v=vs.90%29.aspx
+FORCE_INLINE void _mm_storel_epi64(__m128i *a, __m128i b)
+{
+ uint64x1_t hi = vget_high_u64(vreinterpretq_u64_m128i(*a));
+ uint64x1_t lo = vget_low_u64(vreinterpretq_u64_m128i(b));
+ *a = vreinterpretq_m128i_u64(vcombine_u64(lo, hi));
+}
+
+// Stores the lower two single-precision floating point values of a to the
+// address p.
+//
+// *p0 := a0
+// *p1 := a1
+//
+// https://msdn.microsoft.com/en-us/library/h54t98ks(v=vs.90).aspx
+FORCE_INLINE void _mm_storel_pi(__m64 *p, __m128 a)
+{
+ *p = vreinterpret_m64_f32(vget_low_f32(a));
+}
+
+// Stores the upper two single-precision, floating-point values of a to the
+// address p.
+//
+// *p0 := a2
+// *p1 := a3
+//
+// https://msdn.microsoft.com/en-us/library/a7525fs8(v%3dvs.90).aspx
+FORCE_INLINE void _mm_storeh_pi(__m64 *p, __m128 a)
+{
+ *p = vreinterpret_m64_f32(vget_high_f32(a));
+}
+
+// Loads a single single-precision, floating-point value, copying it into all
+// four words
+// https://msdn.microsoft.com/en-us/library/vstudio/5cdkf716(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_load1_ps(const float *p)
+{
+ return vreinterpretq_m128_f32(vld1q_dup_f32(p));
+}
+
+// Load a single-precision (32-bit) floating-point element from memory into all
+// elements of dst.
+//
+// dst[31:0] := MEM[mem_addr+31:mem_addr]
+// dst[63:32] := MEM[mem_addr+31:mem_addr]
+// dst[95:64] := MEM[mem_addr+31:mem_addr]
+// dst[127:96] := MEM[mem_addr+31:mem_addr]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_load_ps1
+#define _mm_load_ps1 _mm_load1_ps
+
+// Sets the lower two single-precision, floating-point values with 64
+// bits of data loaded from the address p; the upper two values are passed
+// through from a.
+//
+// Return Value
+// r0 := *p0
+// r1 := *p1
+// r2 := a2
+// r3 := a3
+//
+// https://msdn.microsoft.com/en-us/library/s57cyak2(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_loadl_pi(__m128 a, __m64 const *p)
+{
+ return vreinterpretq_m128_f32(
+ vcombine_f32(vld1_f32((const float32_t *) p), vget_high_f32(a)));
+}
+
+// Load 4 single-precision (32-bit) floating-point elements from memory into dst
+// in reverse order. mem_addr must be aligned on a 16-byte boundary or a
+// general-protection exception may be generated.
+//
+// dst[31:0] := MEM[mem_addr+127:mem_addr+96]
+// dst[63:32] := MEM[mem_addr+95:mem_addr+64]
+// dst[95:64] := MEM[mem_addr+63:mem_addr+32]
+// dst[127:96] := MEM[mem_addr+31:mem_addr]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_loadr_ps
+FORCE_INLINE __m128 _mm_loadr_ps(const float *p)
+{
+ float32x4_t v = vrev64q_f32(vld1q_f32(p));
+ return vreinterpretq_m128_f32(vextq_f32(v, v, 2));
+}
+
+// Sets the upper two single-precision, floating-point values with 64
+// bits of data loaded from the address p; the lower two values are passed
+// through from a.
+//
+// r0 := a0
+// r1 := a1
+// r2 := *p0
+// r3 := *p1
+//
+// https://msdn.microsoft.com/en-us/library/w92wta0x(v%3dvs.100).aspx
+FORCE_INLINE __m128 _mm_loadh_pi(__m128 a, __m64 const *p)
+{
+ return vreinterpretq_m128_f32(
+ vcombine_f32(vget_low_f32(a), vld1_f32((const float32_t *) p)));
+}
+
+// Loads four single-precision, floating-point values.
+// https://msdn.microsoft.com/en-us/library/vstudio/zzd50xxt(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_load_ps(const float *p)
+{
+ return vreinterpretq_m128_f32(vld1q_f32(p));
+}
+
+// Loads four single-precision, floating-point values.
+// https://msdn.microsoft.com/en-us/library/x1b16s7z%28v=vs.90%29.aspx
+FORCE_INLINE __m128 _mm_loadu_ps(const float *p)
+{
+ // for neon, alignment doesn't matter, so _mm_load_ps and _mm_loadu_ps are
+ // equivalent for neon
+ return vreinterpretq_m128_f32(vld1q_f32(p));
+}
+
+// Load unaligned 16-bit integer from memory into the first element of dst.
+//
+// dst[15:0] := MEM[mem_addr+15:mem_addr]
+// dst[MAX:16] := 0
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_loadu_si16
+FORCE_INLINE __m128i _mm_loadu_si16(const void *p)
+{
+ return vreinterpretq_m128i_s16(
+ vsetq_lane_s16(*(const int16_t *) p, vdupq_n_s16(0), 0));
+}
+
+// Load unaligned 64-bit integer from memory into the first element of dst.
+//
+// dst[63:0] := MEM[mem_addr+63:mem_addr]
+// dst[MAX:64] := 0
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_loadu_si64
+FORCE_INLINE __m128i _mm_loadu_si64(const void *p)
+{
+ return vreinterpretq_m128i_s64(
+ vcombine_s64(vld1_s64((const int64_t *) p), vdup_n_s64(0)));
+}
+
+// Load a double-precision (64-bit) floating-point element from memory into the
+// lower of dst, and zero the upper element. mem_addr does not need to be
+// aligned on any particular boundary.
+//
+// dst[63:0] := MEM[mem_addr+63:mem_addr]
+// dst[127:64] := 0
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_load_sd
+FORCE_INLINE __m128d _mm_load_sd(const double *p)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(vsetq_lane_f64(*p, vdupq_n_f64(0), 0));
+#else
+ const float *fp = (const float *) p;
+ float ALIGN_STRUCT(16) data[4] = {fp[0], fp[1], 0, 0};
+ return vreinterpretq_m128d_f32(vld1q_f32(data));
+#endif
+}
+
+// Loads two double-precision from 16-byte aligned memory, floating-point
+// values.
+//
+// dst[127:0] := MEM[mem_addr+127:mem_addr]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_load_pd
+FORCE_INLINE __m128d _mm_load_pd(const double *p)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(vld1q_f64(p));
+#else
+ const float *fp = (const float *) p;
+ float ALIGN_STRUCT(16) data[4] = {fp[0], fp[1], fp[2], fp[3]};
+ return vreinterpretq_m128d_f32(vld1q_f32(data));
+#endif
+}
+
+// Loads two double-precision from unaligned memory, floating-point values.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_loadu_pd
+FORCE_INLINE __m128d _mm_loadu_pd(const double *p)
+{
+ return _mm_load_pd(p);
+}
+
+// Loads an single - precision, floating - point value into the low word and
+// clears the upper three words.
+// https://msdn.microsoft.com/en-us/library/548bb9h4%28v=vs.90%29.aspx
+FORCE_INLINE __m128 _mm_load_ss(const float *p)
+{
+ return vreinterpretq_m128_f32(vsetq_lane_f32(*p, vdupq_n_f32(0), 0));
+}
+
+// Load 64-bit integer from memory into the first element of dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_loadl_epi64
+FORCE_INLINE __m128i _mm_loadl_epi64(__m128i const *p)
+{
+ /* Load the lower 64 bits of the value pointed to by p into the
+ * lower 64 bits of the result, zeroing the upper 64 bits of the result.
+ */
+ return vreinterpretq_m128i_s32(
+ vcombine_s32(vld1_s32((int32_t const *) p), vcreate_s32(0)));
+}
+
+// Load a double-precision (64-bit) floating-point element from memory into the
+// lower element of dst, and copy the upper element from a to dst. mem_addr does
+// not need to be aligned on any particular boundary.
+//
+// dst[63:0] := MEM[mem_addr+63:mem_addr]
+// dst[127:64] := a[127:64]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_loadl_pd
+FORCE_INLINE __m128d _mm_loadl_pd(__m128d a, const double *p)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(
+ vcombine_f64(vld1_f64(p), vget_high_f64(vreinterpretq_f64_m128d(a))));
+#else
+ return vreinterpretq_m128d_f32(
+ vcombine_f32(vld1_f32((const float *) p),
+ vget_high_f32(vreinterpretq_f32_m128d(a))));
+#endif
+}
+
+// Load 2 double-precision (64-bit) floating-point elements from memory into dst
+// in reverse order. mem_addr must be aligned on a 16-byte boundary or a
+// general-protection exception may be generated.
+//
+// dst[63:0] := MEM[mem_addr+127:mem_addr+64]
+// dst[127:64] := MEM[mem_addr+63:mem_addr]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_loadr_pd
+FORCE_INLINE __m128d _mm_loadr_pd(const double *p)
+{
+#if defined(__aarch64__)
+ float64x2_t v = vld1q_f64(p);
+ return vreinterpretq_m128d_f64(vextq_f64(v, v, 1));
+#else
+ int64x2_t v = vld1q_s64((const int64_t *) p);
+ return vreinterpretq_m128d_s64(vextq_s64(v, v, 1));
+#endif
+}
+
+// Sets the low word to the single-precision, floating-point value of b
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/35hdzazd(v=vs.100)
+FORCE_INLINE __m128 _mm_move_ss(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_f32(
+ vsetq_lane_f32(vgetq_lane_f32(vreinterpretq_f32_m128(b), 0),
+ vreinterpretq_f32_m128(a), 0));
+}
+
+// Move the lower double-precision (64-bit) floating-point element from b to the
+// lower element of dst, and copy the upper element from a to the upper element
+// of dst.
+//
+// dst[63:0] := b[63:0]
+// dst[127:64] := a[127:64]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_move_sd
+FORCE_INLINE __m128d _mm_move_sd(__m128d a, __m128d b)
+{
+ return vreinterpretq_m128d_f32(
+ vcombine_f32(vget_low_f32(vreinterpretq_f32_m128d(b)),
+ vget_high_f32(vreinterpretq_f32_m128d(a))));
+}
+
+// Copy the lower 64-bit integer in a to the lower element of dst, and zero the
+// upper element.
+//
+// dst[63:0] := a[63:0]
+// dst[127:64] := 0
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_move_epi64
+FORCE_INLINE __m128i _mm_move_epi64(__m128i a)
+{
+ return vreinterpretq_m128i_s64(
+ vsetq_lane_s64(0, vreinterpretq_s64_m128i(a), 1));
+}
+
+// Return vector of type __m128 with undefined elements.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_undefined_ps
+FORCE_INLINE __m128 _mm_undefined_ps(void)
+{
+#if defined(__GNUC__) || defined(__clang__)
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wuninitialized"
+#endif
+ __m128 a;
+ return a;
+#if defined(__GNUC__) || defined(__clang__)
+#pragma GCC diagnostic pop
+#endif
+}
+
+/* Logic/Binary operations */
+
+// Computes the bitwise AND-NOT of the four single-precision, floating-point
+// values of a and b.
+//
+// r0 := ~a0 & b0
+// r1 := ~a1 & b1
+// r2 := ~a2 & b2
+// r3 := ~a3 & b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/68h7wd02(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_andnot_ps(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_s32(
+ vbicq_s32(vreinterpretq_s32_m128(b),
+ vreinterpretq_s32_m128(a))); // *NOTE* argument swap
+}
+
+// Compute the bitwise NOT of packed double-precision (64-bit) floating-point
+// elements in a and then AND with b, and store the results in dst.
+//
+// FOR j := 0 to 1
+// i := j*64
+// dst[i+63:i] := ((NOT a[i+63:i]) AND b[i+63:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_andnot_pd
+FORCE_INLINE __m128d _mm_andnot_pd(__m128d a, __m128d b)
+{
+ // *NOTE* argument swap
+ return vreinterpretq_m128d_s64(
+ vbicq_s64(vreinterpretq_s64_m128d(b), vreinterpretq_s64_m128d(a)));
+}
+
+// Computes the bitwise AND of the 128-bit value in b and the bitwise NOT of the
+// 128-bit value in a.
+//
+// r := (~a) & b
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/1beaceh8(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_andnot_si128(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s32(
+ vbicq_s32(vreinterpretq_s32_m128i(b),
+ vreinterpretq_s32_m128i(a))); // *NOTE* argument swap
+}
+
+// Computes the bitwise AND of the 128-bit value in a and the 128-bit value in
+// b.
+//
+// r := a & b
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/6d1txsa8(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_and_si128(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s32(
+ vandq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Computes the bitwise AND of the four single-precision, floating-point values
+// of a and b.
+//
+// r0 := a0 & b0
+// r1 := a1 & b1
+// r2 := a2 & b2
+// r3 := a3 & b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/73ck1xc5(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_and_ps(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_s32(
+ vandq_s32(vreinterpretq_s32_m128(a), vreinterpretq_s32_m128(b)));
+}
+
+// Compute the bitwise AND of packed double-precision (64-bit) floating-point
+// elements in a and b, and store the results in dst.
+//
+// FOR j := 0 to 1
+// i := j*64
+// dst[i+63:i] := a[i+63:i] AND b[i+63:i]
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_and_pd
+FORCE_INLINE __m128d _mm_and_pd(__m128d a, __m128d b)
+{
+ return vreinterpretq_m128d_s64(
+ vandq_s64(vreinterpretq_s64_m128d(a), vreinterpretq_s64_m128d(b)));
+}
+
+// Computes the bitwise OR of the four single-precision, floating-point values
+// of a and b.
+// https://msdn.microsoft.com/en-us/library/vstudio/7ctdsyy0(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_or_ps(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_s32(
+ vorrq_s32(vreinterpretq_s32_m128(a), vreinterpretq_s32_m128(b)));
+}
+
+// Computes bitwise EXOR (exclusive-or) of the four single-precision,
+// floating-point values of a and b.
+// https://msdn.microsoft.com/en-us/library/ss6k3wk8(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_xor_ps(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_s32(
+ veorq_s32(vreinterpretq_s32_m128(a), vreinterpretq_s32_m128(b)));
+}
+
+// Compute the bitwise XOR of packed double-precision (64-bit) floating-point
+// elements in a and b, and store the results in dst.
+//
+// FOR j := 0 to 1
+// i := j*64
+// dst[i+63:i] := a[i+63:i] XOR b[i+63:i]
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_xor_pd
+FORCE_INLINE __m128d _mm_xor_pd(__m128d a, __m128d b)
+{
+ return vreinterpretq_m128d_s64(
+ veorq_s64(vreinterpretq_s64_m128d(a), vreinterpretq_s64_m128d(b)));
+}
+
+// Compute the bitwise OR of packed double-precision (64-bit) floating-point
+// elements in a and b, and store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=mm_or_pd
+FORCE_INLINE __m128d _mm_or_pd(__m128d a, __m128d b)
+{
+ return vreinterpretq_m128d_s64(
+ vorrq_s64(vreinterpretq_s64_m128d(a), vreinterpretq_s64_m128d(b)));
+}
+
+// Computes the bitwise OR of the 128-bit value in a and the 128-bit value in b.
+//
+// r := a | b
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/ew8ty0db(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_or_si128(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s32(
+ vorrq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Computes the bitwise XOR of the 128-bit value in a and the 128-bit value in
+// b. https://msdn.microsoft.com/en-us/library/fzt08www(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_xor_si128(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s32(
+ veorq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Duplicate the low double-precision (64-bit) floating-point element from a,
+// and store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_movedup_pd
+FORCE_INLINE __m128d _mm_movedup_pd(__m128d a)
+{
+#if (__aarch64__)
+ return vreinterpretq_m128d_f64(
+ vdupq_laneq_f64(vreinterpretq_f64_m128d(a), 0));
+#else
+ return vreinterpretq_m128d_u64(
+ vdupq_n_u64(vgetq_lane_u64(vreinterpretq_u64_m128d(a), 0)));
+#endif
+}
+
+// Duplicate odd-indexed single-precision (32-bit) floating-point elements
+// from a, and store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_movehdup_ps
+FORCE_INLINE __m128 _mm_movehdup_ps(__m128 a)
+{
+#if __has_builtin(__builtin_shufflevector)
+ return vreinterpretq_m128_f32(__builtin_shufflevector(
+ vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a), 1, 1, 3, 3));
+#else
+ float32_t a1 = vgetq_lane_f32(vreinterpretq_f32_m128(a), 1);
+ float32_t a3 = vgetq_lane_f32(vreinterpretq_f32_m128(a), 3);
+ float ALIGN_STRUCT(16) data[4] = {a1, a1, a3, a3};
+ return vreinterpretq_m128_f32(vld1q_f32(data));
+#endif
+}
+
+// Duplicate even-indexed single-precision (32-bit) floating-point elements
+// from a, and store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_moveldup_ps
+FORCE_INLINE __m128 _mm_moveldup_ps(__m128 a)
+{
+#if __has_builtin(__builtin_shufflevector)
+ return vreinterpretq_m128_f32(__builtin_shufflevector(
+ vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a), 0, 0, 2, 2));
+#else
+ float32_t a0 = vgetq_lane_f32(vreinterpretq_f32_m128(a), 0);
+ float32_t a2 = vgetq_lane_f32(vreinterpretq_f32_m128(a), 2);
+ float ALIGN_STRUCT(16) data[4] = {a0, a0, a2, a2};
+ return vreinterpretq_m128_f32(vld1q_f32(data));
+#endif
+}
+
+// Moves the upper two values of B into the lower two values of A.
+//
+// r3 := a3
+// r2 := a2
+// r1 := b3
+// r0 := b2
+FORCE_INLINE __m128 _mm_movehl_ps(__m128 __A, __m128 __B)
+{
+ float32x2_t a32 = vget_high_f32(vreinterpretq_f32_m128(__A));
+ float32x2_t b32 = vget_high_f32(vreinterpretq_f32_m128(__B));
+ return vreinterpretq_m128_f32(vcombine_f32(b32, a32));
+}
+
+// Moves the lower two values of B into the upper two values of A.
+//
+// r3 := b1
+// r2 := b0
+// r1 := a1
+// r0 := a0
+FORCE_INLINE __m128 _mm_movelh_ps(__m128 __A, __m128 __B)
+{
+ float32x2_t a10 = vget_low_f32(vreinterpretq_f32_m128(__A));
+ float32x2_t b10 = vget_low_f32(vreinterpretq_f32_m128(__B));
+ return vreinterpretq_m128_f32(vcombine_f32(a10, b10));
+}
+
+// Compute the absolute value of packed signed 32-bit integers in a, and store
+// the unsigned results in dst.
+//
+// FOR j := 0 to 3
+// i := j*32
+// dst[i+31:i] := ABS(a[i+31:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_abs_epi32
+FORCE_INLINE __m128i _mm_abs_epi32(__m128i a)
+{
+ return vreinterpretq_m128i_s32(vabsq_s32(vreinterpretq_s32_m128i(a)));
+}
+
+// Compute the absolute value of packed signed 16-bit integers in a, and store
+// the unsigned results in dst.
+//
+// FOR j := 0 to 7
+// i := j*16
+// dst[i+15:i] := ABS(a[i+15:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_abs_epi16
+FORCE_INLINE __m128i _mm_abs_epi16(__m128i a)
+{
+ return vreinterpretq_m128i_s16(vabsq_s16(vreinterpretq_s16_m128i(a)));
+}
+
+// Compute the absolute value of packed signed 8-bit integers in a, and store
+// the unsigned results in dst.
+//
+// FOR j := 0 to 15
+// i := j*8
+// dst[i+7:i] := ABS(a[i+7:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_abs_epi8
+FORCE_INLINE __m128i _mm_abs_epi8(__m128i a)
+{
+ return vreinterpretq_m128i_s8(vabsq_s8(vreinterpretq_s8_m128i(a)));
+}
+
+// Compute the absolute value of packed signed 32-bit integers in a, and store
+// the unsigned results in dst.
+//
+// FOR j := 0 to 1
+// i := j*32
+// dst[i+31:i] := ABS(a[i+31:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_abs_pi32
+FORCE_INLINE __m64 _mm_abs_pi32(__m64 a)
+{
+ return vreinterpret_m64_s32(vabs_s32(vreinterpret_s32_m64(a)));
+}
+
+// Compute the absolute value of packed signed 16-bit integers in a, and store
+// the unsigned results in dst.
+//
+// FOR j := 0 to 3
+// i := j*16
+// dst[i+15:i] := ABS(a[i+15:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_abs_pi16
+FORCE_INLINE __m64 _mm_abs_pi16(__m64 a)
+{
+ return vreinterpret_m64_s16(vabs_s16(vreinterpret_s16_m64(a)));
+}
+
+// Compute the absolute value of packed signed 8-bit integers in a, and store
+// the unsigned results in dst.
+//
+// FOR j := 0 to 7
+// i := j*8
+// dst[i+7:i] := ABS(a[i+7:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_abs_pi8
+FORCE_INLINE __m64 _mm_abs_pi8(__m64 a)
+{
+ return vreinterpret_m64_s8(vabs_s8(vreinterpret_s8_m64(a)));
+}
+
+// Concatenate 16-byte blocks in a and b into a 32-byte temporary result, shift
+// the result right by imm8 bytes, and store the low 16 bytes in dst.
+//
+// tmp[255:0] := ((a[127:0] << 128)[255:0] OR b[127:0]) >> (imm8*8)
+// dst[127:0] := tmp[127:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_alignr_epi8
+#define _mm_alignr_epi8(a, b, imm) \
+ __extension__({ \
+ __m128i ret; \
+ if (unlikely((imm) >= 32)) { \
+ ret = _mm_setzero_si128(); \
+ } else { \
+ uint8x16_t tmp_low, tmp_high; \
+ if (imm >= 16) { \
+ const int idx = imm - 16; \
+ tmp_low = vreinterpretq_u8_m128i(a); \
+ tmp_high = vdupq_n_u8(0); \
+ ret = \
+ vreinterpretq_m128i_u8(vextq_u8(tmp_low, tmp_high, idx)); \
+ } else { \
+ const int idx = imm; \
+ tmp_low = vreinterpretq_u8_m128i(b); \
+ tmp_high = vreinterpretq_u8_m128i(a); \
+ ret = \
+ vreinterpretq_m128i_u8(vextq_u8(tmp_low, tmp_high, idx)); \
+ } \
+ } \
+ ret; \
+ })
+
+// Concatenate 8-byte blocks in a and b into a 16-byte temporary result, shift
+// the result right by imm8 bytes, and store the low 8 bytes in dst.
+//
+// tmp[127:0] := ((a[63:0] << 64)[127:0] OR b[63:0]) >> (imm8*8)
+// dst[63:0] := tmp[63:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_alignr_pi8
+#define _mm_alignr_pi8(a, b, imm) \
+ __extension__({ \
+ __m64 ret; \
+ if (unlikely((imm) >= 16)) { \
+ ret = vreinterpret_m64_s8(vdup_n_s8(0)); \
+ } else { \
+ uint8x8_t tmp_low, tmp_high; \
+ if (imm >= 8) { \
+ const int idx = imm - 8; \
+ tmp_low = vreinterpret_u8_m64(a); \
+ tmp_high = vdup_n_u8(0); \
+ ret = vreinterpret_m64_u8(vext_u8(tmp_low, tmp_high, idx)); \
+ } else { \
+ const int idx = imm; \
+ tmp_low = vreinterpret_u8_m64(b); \
+ tmp_high = vreinterpret_u8_m64(a); \
+ ret = vreinterpret_m64_u8(vext_u8(tmp_low, tmp_high, idx)); \
+ } \
+ } \
+ ret; \
+ })
+
+// Takes the upper 64 bits of a and places it in the low end of the result
+// Takes the lower 64 bits of b and places it into the high end of the result.
+FORCE_INLINE __m128 _mm_shuffle_ps_1032(__m128 a, __m128 b)
+{
+ float32x2_t a32 = vget_high_f32(vreinterpretq_f32_m128(a));
+ float32x2_t b10 = vget_low_f32(vreinterpretq_f32_m128(b));
+ return vreinterpretq_m128_f32(vcombine_f32(a32, b10));
+}
+
+// takes the lower two 32-bit values from a and swaps them and places in high
+// end of result takes the higher two 32 bit values from b and swaps them and
+// places in low end of result.
+FORCE_INLINE __m128 _mm_shuffle_ps_2301(__m128 a, __m128 b)
+{
+ float32x2_t a01 = vrev64_f32(vget_low_f32(vreinterpretq_f32_m128(a)));
+ float32x2_t b23 = vrev64_f32(vget_high_f32(vreinterpretq_f32_m128(b)));
+ return vreinterpretq_m128_f32(vcombine_f32(a01, b23));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_0321(__m128 a, __m128 b)
+{
+ float32x2_t a21 = vget_high_f32(
+ vextq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a), 3));
+ float32x2_t b03 = vget_low_f32(
+ vextq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b), 3));
+ return vreinterpretq_m128_f32(vcombine_f32(a21, b03));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_2103(__m128 a, __m128 b)
+{
+ float32x2_t a03 = vget_low_f32(
+ vextq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a), 3));
+ float32x2_t b21 = vget_high_f32(
+ vextq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b), 3));
+ return vreinterpretq_m128_f32(vcombine_f32(a03, b21));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_1010(__m128 a, __m128 b)
+{
+ float32x2_t a10 = vget_low_f32(vreinterpretq_f32_m128(a));
+ float32x2_t b10 = vget_low_f32(vreinterpretq_f32_m128(b));
+ return vreinterpretq_m128_f32(vcombine_f32(a10, b10));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_1001(__m128 a, __m128 b)
+{
+ float32x2_t a01 = vrev64_f32(vget_low_f32(vreinterpretq_f32_m128(a)));
+ float32x2_t b10 = vget_low_f32(vreinterpretq_f32_m128(b));
+ return vreinterpretq_m128_f32(vcombine_f32(a01, b10));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_0101(__m128 a, __m128 b)
+{
+ float32x2_t a01 = vrev64_f32(vget_low_f32(vreinterpretq_f32_m128(a)));
+ float32x2_t b01 = vrev64_f32(vget_low_f32(vreinterpretq_f32_m128(b)));
+ return vreinterpretq_m128_f32(vcombine_f32(a01, b01));
+}
+
+// keeps the low 64 bits of b in the low and puts the high 64 bits of a in the
+// high
+FORCE_INLINE __m128 _mm_shuffle_ps_3210(__m128 a, __m128 b)
+{
+ float32x2_t a10 = vget_low_f32(vreinterpretq_f32_m128(a));
+ float32x2_t b32 = vget_high_f32(vreinterpretq_f32_m128(b));
+ return vreinterpretq_m128_f32(vcombine_f32(a10, b32));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_0011(__m128 a, __m128 b)
+{
+ float32x2_t a11 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(a)), 1);
+ float32x2_t b00 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(b)), 0);
+ return vreinterpretq_m128_f32(vcombine_f32(a11, b00));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_0022(__m128 a, __m128 b)
+{
+ float32x2_t a22 =
+ vdup_lane_f32(vget_high_f32(vreinterpretq_f32_m128(a)), 0);
+ float32x2_t b00 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(b)), 0);
+ return vreinterpretq_m128_f32(vcombine_f32(a22, b00));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_2200(__m128 a, __m128 b)
+{
+ float32x2_t a00 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(a)), 0);
+ float32x2_t b22 =
+ vdup_lane_f32(vget_high_f32(vreinterpretq_f32_m128(b)), 0);
+ return vreinterpretq_m128_f32(vcombine_f32(a00, b22));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_3202(__m128 a, __m128 b)
+{
+ float32_t a0 = vgetq_lane_f32(vreinterpretq_f32_m128(a), 0);
+ float32x2_t a22 =
+ vdup_lane_f32(vget_high_f32(vreinterpretq_f32_m128(a)), 0);
+ float32x2_t a02 = vset_lane_f32(a0, a22, 1); /* TODO: use vzip ?*/
+ float32x2_t b32 = vget_high_f32(vreinterpretq_f32_m128(b));
+ return vreinterpretq_m128_f32(vcombine_f32(a02, b32));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_1133(__m128 a, __m128 b)
+{
+ float32x2_t a33 =
+ vdup_lane_f32(vget_high_f32(vreinterpretq_f32_m128(a)), 1);
+ float32x2_t b11 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(b)), 1);
+ return vreinterpretq_m128_f32(vcombine_f32(a33, b11));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_2010(__m128 a, __m128 b)
+{
+ float32x2_t a10 = vget_low_f32(vreinterpretq_f32_m128(a));
+ float32_t b2 = vgetq_lane_f32(vreinterpretq_f32_m128(b), 2);
+ float32x2_t b00 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(b)), 0);
+ float32x2_t b20 = vset_lane_f32(b2, b00, 1);
+ return vreinterpretq_m128_f32(vcombine_f32(a10, b20));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_2001(__m128 a, __m128 b)
+{
+ float32x2_t a01 = vrev64_f32(vget_low_f32(vreinterpretq_f32_m128(a)));
+ float32_t b2 = vgetq_lane_f32(b, 2);
+ float32x2_t b00 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(b)), 0);
+ float32x2_t b20 = vset_lane_f32(b2, b00, 1);
+ return vreinterpretq_m128_f32(vcombine_f32(a01, b20));
+}
+
+FORCE_INLINE __m128 _mm_shuffle_ps_2032(__m128 a, __m128 b)
+{
+ float32x2_t a32 = vget_high_f32(vreinterpretq_f32_m128(a));
+ float32_t b2 = vgetq_lane_f32(b, 2);
+ float32x2_t b00 = vdup_lane_f32(vget_low_f32(vreinterpretq_f32_m128(b)), 0);
+ float32x2_t b20 = vset_lane_f32(b2, b00, 1);
+ return vreinterpretq_m128_f32(vcombine_f32(a32, b20));
+}
+
+// NEON does not support a general purpose permute intrinsic
+// Selects four specific single-precision, floating-point values from a and b,
+// based on the mask i.
+//
+// C equivalent:
+// __m128 _mm_shuffle_ps_default(__m128 a, __m128 b,
+// __constrange(0, 255) int imm) {
+// __m128 ret;
+// ret[0] = a[imm & 0x3]; ret[1] = a[(imm >> 2) & 0x3];
+// ret[2] = b[(imm >> 4) & 0x03]; ret[3] = b[(imm >> 6) & 0x03];
+// return ret;
+// }
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/5f0858x0(v=vs.100).aspx
+#define _mm_shuffle_ps_default(a, b, imm) \
+ __extension__({ \
+ float32x4_t ret; \
+ ret = vmovq_n_f32( \
+ vgetq_lane_f32(vreinterpretq_f32_m128(a), (imm) & (0x3))); \
+ ret = vsetq_lane_f32( \
+ vgetq_lane_f32(vreinterpretq_f32_m128(a), ((imm) >> 2) & 0x3), \
+ ret, 1); \
+ ret = vsetq_lane_f32( \
+ vgetq_lane_f32(vreinterpretq_f32_m128(b), ((imm) >> 4) & 0x3), \
+ ret, 2); \
+ ret = vsetq_lane_f32( \
+ vgetq_lane_f32(vreinterpretq_f32_m128(b), ((imm) >> 6) & 0x3), \
+ ret, 3); \
+ vreinterpretq_m128_f32(ret); \
+ })
+
+// FORCE_INLINE __m128 _mm_shuffle_ps(__m128 a, __m128 b, __constrange(0,255)
+// int imm)
+#if __has_builtin(__builtin_shufflevector)
+#define _mm_shuffle_ps(a, b, imm) \
+ __extension__({ \
+ float32x4_t _input1 = vreinterpretq_f32_m128(a); \
+ float32x4_t _input2 = vreinterpretq_f32_m128(b); \
+ float32x4_t _shuf = __builtin_shufflevector( \
+ _input1, _input2, (imm) & (0x3), ((imm) >> 2) & 0x3, \
+ (((imm) >> 4) & 0x3) + 4, (((imm) >> 6) & 0x3) + 4); \
+ vreinterpretq_m128_f32(_shuf); \
+ })
+#else // generic
+#define _mm_shuffle_ps(a, b, imm) \
+ __extension__({ \
+ __m128 ret; \
+ switch (imm) { \
+ case _MM_SHUFFLE(1, 0, 3, 2): \
+ ret = _mm_shuffle_ps_1032((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(2, 3, 0, 1): \
+ ret = _mm_shuffle_ps_2301((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(0, 3, 2, 1): \
+ ret = _mm_shuffle_ps_0321((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(2, 1, 0, 3): \
+ ret = _mm_shuffle_ps_2103((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(1, 0, 1, 0): \
+ ret = _mm_movelh_ps((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(1, 0, 0, 1): \
+ ret = _mm_shuffle_ps_1001((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(0, 1, 0, 1): \
+ ret = _mm_shuffle_ps_0101((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(3, 2, 1, 0): \
+ ret = _mm_shuffle_ps_3210((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(0, 0, 1, 1): \
+ ret = _mm_shuffle_ps_0011((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(0, 0, 2, 2): \
+ ret = _mm_shuffle_ps_0022((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(2, 2, 0, 0): \
+ ret = _mm_shuffle_ps_2200((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(3, 2, 0, 2): \
+ ret = _mm_shuffle_ps_3202((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(3, 2, 3, 2): \
+ ret = _mm_movehl_ps((b), (a)); \
+ break; \
+ case _MM_SHUFFLE(1, 1, 3, 3): \
+ ret = _mm_shuffle_ps_1133((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(2, 0, 1, 0): \
+ ret = _mm_shuffle_ps_2010((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(2, 0, 0, 1): \
+ ret = _mm_shuffle_ps_2001((a), (b)); \
+ break; \
+ case _MM_SHUFFLE(2, 0, 3, 2): \
+ ret = _mm_shuffle_ps_2032((a), (b)); \
+ break; \
+ default: \
+ ret = _mm_shuffle_ps_default((a), (b), (imm)); \
+ break; \
+ } \
+ ret; \
+ })
+#endif
+
+// Takes the upper 64 bits of a and places it in the low end of the result
+// Takes the lower 64 bits of a and places it into the high end of the result.
+FORCE_INLINE __m128i _mm_shuffle_epi_1032(__m128i a)
+{
+ int32x2_t a32 = vget_high_s32(vreinterpretq_s32_m128i(a));
+ int32x2_t a10 = vget_low_s32(vreinterpretq_s32_m128i(a));
+ return vreinterpretq_m128i_s32(vcombine_s32(a32, a10));
+}
+
+// takes the lower two 32-bit values from a and swaps them and places in low end
+// of result takes the higher two 32 bit values from a and swaps them and places
+// in high end of result.
+FORCE_INLINE __m128i _mm_shuffle_epi_2301(__m128i a)
+{
+ int32x2_t a01 = vrev64_s32(vget_low_s32(vreinterpretq_s32_m128i(a)));
+ int32x2_t a23 = vrev64_s32(vget_high_s32(vreinterpretq_s32_m128i(a)));
+ return vreinterpretq_m128i_s32(vcombine_s32(a01, a23));
+}
+
+// rotates the least significant 32 bits into the most signficant 32 bits, and
+// shifts the rest down
+FORCE_INLINE __m128i _mm_shuffle_epi_0321(__m128i a)
+{
+ return vreinterpretq_m128i_s32(
+ vextq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(a), 1));
+}
+
+// rotates the most significant 32 bits into the least signficant 32 bits, and
+// shifts the rest up
+FORCE_INLINE __m128i _mm_shuffle_epi_2103(__m128i a)
+{
+ return vreinterpretq_m128i_s32(
+ vextq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(a), 3));
+}
+
+// gets the lower 64 bits of a, and places it in the upper 64 bits
+// gets the lower 64 bits of a and places it in the lower 64 bits
+FORCE_INLINE __m128i _mm_shuffle_epi_1010(__m128i a)
+{
+ int32x2_t a10 = vget_low_s32(vreinterpretq_s32_m128i(a));
+ return vreinterpretq_m128i_s32(vcombine_s32(a10, a10));
+}
+
+// gets the lower 64 bits of a, swaps the 0 and 1 elements, and places it in the
+// lower 64 bits gets the lower 64 bits of a, and places it in the upper 64 bits
+FORCE_INLINE __m128i _mm_shuffle_epi_1001(__m128i a)
+{
+ int32x2_t a01 = vrev64_s32(vget_low_s32(vreinterpretq_s32_m128i(a)));
+ int32x2_t a10 = vget_low_s32(vreinterpretq_s32_m128i(a));
+ return vreinterpretq_m128i_s32(vcombine_s32(a01, a10));
+}
+
+// gets the lower 64 bits of a, swaps the 0 and 1 elements and places it in the
+// upper 64 bits gets the lower 64 bits of a, swaps the 0 and 1 elements, and
+// places it in the lower 64 bits
+FORCE_INLINE __m128i _mm_shuffle_epi_0101(__m128i a)
+{
+ int32x2_t a01 = vrev64_s32(vget_low_s32(vreinterpretq_s32_m128i(a)));
+ return vreinterpretq_m128i_s32(vcombine_s32(a01, a01));
+}
+
+FORCE_INLINE __m128i _mm_shuffle_epi_2211(__m128i a)
+{
+ int32x2_t a11 = vdup_lane_s32(vget_low_s32(vreinterpretq_s32_m128i(a)), 1);
+ int32x2_t a22 = vdup_lane_s32(vget_high_s32(vreinterpretq_s32_m128i(a)), 0);
+ return vreinterpretq_m128i_s32(vcombine_s32(a11, a22));
+}
+
+FORCE_INLINE __m128i _mm_shuffle_epi_0122(__m128i a)
+{
+ int32x2_t a22 = vdup_lane_s32(vget_high_s32(vreinterpretq_s32_m128i(a)), 0);
+ int32x2_t a01 = vrev64_s32(vget_low_s32(vreinterpretq_s32_m128i(a)));
+ return vreinterpretq_m128i_s32(vcombine_s32(a22, a01));
+}
+
+FORCE_INLINE __m128i _mm_shuffle_epi_3332(__m128i a)
+{
+ int32x2_t a32 = vget_high_s32(vreinterpretq_s32_m128i(a));
+ int32x2_t a33 = vdup_lane_s32(vget_high_s32(vreinterpretq_s32_m128i(a)), 1);
+ return vreinterpretq_m128i_s32(vcombine_s32(a32, a33));
+}
+
+// Shuffle packed 8-bit integers in a according to shuffle control mask in the
+// corresponding 8-bit element of b, and store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_shuffle_epi8
+FORCE_INLINE __m128i _mm_shuffle_epi8(__m128i a, __m128i b)
+{
+ int8x16_t tbl = vreinterpretq_s8_m128i(a); // input a
+ uint8x16_t idx = vreinterpretq_u8_m128i(b); // input b
+ uint8x16_t idx_masked =
+ vandq_u8(idx, vdupq_n_u8(0x8F)); // avoid using meaningless bits
+#if defined(__aarch64__)
+ return vreinterpretq_m128i_s8(vqtbl1q_s8(tbl, idx_masked));
+#elif defined(__GNUC__)
+ int8x16_t ret;
+ // %e and %f represent the even and odd D registers
+ // respectively.
+ __asm__ __volatile__(
+ "vtbl.8 %e[ret], {%e[tbl], %f[tbl]}, %e[idx]\n"
+ "vtbl.8 %f[ret], {%e[tbl], %f[tbl]}, %f[idx]\n"
+ : [ret] "=&w"(ret)
+ : [tbl] "w"(tbl), [idx] "w"(idx_masked));
+ return vreinterpretq_m128i_s8(ret);
+#else
+ // use this line if testing on aarch64
+ int8x8x2_t a_split = {vget_low_s8(tbl), vget_high_s8(tbl)};
+ return vreinterpretq_m128i_s8(
+ vcombine_s8(vtbl2_s8(a_split, vget_low_u8(idx_masked)),
+ vtbl2_s8(a_split, vget_high_u8(idx_masked))));
+#endif
+}
+
+// C equivalent:
+// __m128i _mm_shuffle_epi32_default(__m128i a,
+// __constrange(0, 255) int imm) {
+// __m128i ret;
+// ret[0] = a[imm & 0x3]; ret[1] = a[(imm >> 2) & 0x3];
+// ret[2] = a[(imm >> 4) & 0x03]; ret[3] = a[(imm >> 6) & 0x03];
+// return ret;
+// }
+#define _mm_shuffle_epi32_default(a, imm) \
+ __extension__({ \
+ int32x4_t ret; \
+ ret = vmovq_n_s32( \
+ vgetq_lane_s32(vreinterpretq_s32_m128i(a), (imm) & (0x3))); \
+ ret = vsetq_lane_s32( \
+ vgetq_lane_s32(vreinterpretq_s32_m128i(a), ((imm) >> 2) & 0x3), \
+ ret, 1); \
+ ret = vsetq_lane_s32( \
+ vgetq_lane_s32(vreinterpretq_s32_m128i(a), ((imm) >> 4) & 0x3), \
+ ret, 2); \
+ ret = vsetq_lane_s32( \
+ vgetq_lane_s32(vreinterpretq_s32_m128i(a), ((imm) >> 6) & 0x3), \
+ ret, 3); \
+ vreinterpretq_m128i_s32(ret); \
+ })
+
+// FORCE_INLINE __m128i _mm_shuffle_epi32_splat(__m128i a, __constrange(0,255)
+// int imm)
+#if defined(__aarch64__)
+#define _mm_shuffle_epi32_splat(a, imm) \
+ __extension__({ \
+ vreinterpretq_m128i_s32( \
+ vdupq_laneq_s32(vreinterpretq_s32_m128i(a), (imm))); \
+ })
+#else
+#define _mm_shuffle_epi32_splat(a, imm) \
+ __extension__({ \
+ vreinterpretq_m128i_s32( \
+ vdupq_n_s32(vgetq_lane_s32(vreinterpretq_s32_m128i(a), (imm)))); \
+ })
+#endif
+
+// Shuffles the 4 signed or unsigned 32-bit integers in a as specified by imm.
+// https://msdn.microsoft.com/en-us/library/56f67xbk%28v=vs.90%29.aspx
+// FORCE_INLINE __m128i _mm_shuffle_epi32(__m128i a,
+// __constrange(0,255) int imm)
+#if __has_builtin(__builtin_shufflevector)
+#define _mm_shuffle_epi32(a, imm) \
+ __extension__({ \
+ int32x4_t _input = vreinterpretq_s32_m128i(a); \
+ int32x4_t _shuf = __builtin_shufflevector( \
+ _input, _input, (imm) & (0x3), ((imm) >> 2) & 0x3, \
+ ((imm) >> 4) & 0x3, ((imm) >> 6) & 0x3); \
+ vreinterpretq_m128i_s32(_shuf); \
+ })
+#else // generic
+#define _mm_shuffle_epi32(a, imm) \
+ __extension__({ \
+ __m128i ret; \
+ switch (imm) { \
+ case _MM_SHUFFLE(1, 0, 3, 2): \
+ ret = _mm_shuffle_epi_1032((a)); \
+ break; \
+ case _MM_SHUFFLE(2, 3, 0, 1): \
+ ret = _mm_shuffle_epi_2301((a)); \
+ break; \
+ case _MM_SHUFFLE(0, 3, 2, 1): \
+ ret = _mm_shuffle_epi_0321((a)); \
+ break; \
+ case _MM_SHUFFLE(2, 1, 0, 3): \
+ ret = _mm_shuffle_epi_2103((a)); \
+ break; \
+ case _MM_SHUFFLE(1, 0, 1, 0): \
+ ret = _mm_shuffle_epi_1010((a)); \
+ break; \
+ case _MM_SHUFFLE(1, 0, 0, 1): \
+ ret = _mm_shuffle_epi_1001((a)); \
+ break; \
+ case _MM_SHUFFLE(0, 1, 0, 1): \
+ ret = _mm_shuffle_epi_0101((a)); \
+ break; \
+ case _MM_SHUFFLE(2, 2, 1, 1): \
+ ret = _mm_shuffle_epi_2211((a)); \
+ break; \
+ case _MM_SHUFFLE(0, 1, 2, 2): \
+ ret = _mm_shuffle_epi_0122((a)); \
+ break; \
+ case _MM_SHUFFLE(3, 3, 3, 2): \
+ ret = _mm_shuffle_epi_3332((a)); \
+ break; \
+ case _MM_SHUFFLE(0, 0, 0, 0): \
+ ret = _mm_shuffle_epi32_splat((a), 0); \
+ break; \
+ case _MM_SHUFFLE(1, 1, 1, 1): \
+ ret = _mm_shuffle_epi32_splat((a), 1); \
+ break; \
+ case _MM_SHUFFLE(2, 2, 2, 2): \
+ ret = _mm_shuffle_epi32_splat((a), 2); \
+ break; \
+ case _MM_SHUFFLE(3, 3, 3, 3): \
+ ret = _mm_shuffle_epi32_splat((a), 3); \
+ break; \
+ default: \
+ ret = _mm_shuffle_epi32_default((a), (imm)); \
+ break; \
+ } \
+ ret; \
+ })
+#endif
+
+// Shuffles the lower 4 signed or unsigned 16-bit integers in a as specified
+// by imm.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/y41dkk37(v=vs.100)
+// FORCE_INLINE __m128i _mm_shufflelo_epi16_function(__m128i a,
+// __constrange(0,255) int
+// imm)
+#define _mm_shufflelo_epi16_function(a, imm) \
+ __extension__({ \
+ int16x8_t ret = vreinterpretq_s16_m128i(a); \
+ int16x4_t lowBits = vget_low_s16(ret); \
+ ret = vsetq_lane_s16(vget_lane_s16(lowBits, (imm) & (0x3)), ret, 0); \
+ ret = vsetq_lane_s16(vget_lane_s16(lowBits, ((imm) >> 2) & 0x3), ret, \
+ 1); \
+ ret = vsetq_lane_s16(vget_lane_s16(lowBits, ((imm) >> 4) & 0x3), ret, \
+ 2); \
+ ret = vsetq_lane_s16(vget_lane_s16(lowBits, ((imm) >> 6) & 0x3), ret, \
+ 3); \
+ vreinterpretq_m128i_s16(ret); \
+ })
+
+// FORCE_INLINE __m128i _mm_shufflelo_epi16(__m128i a,
+// __constrange(0,255) int imm)
+#if __has_builtin(__builtin_shufflevector)
+#define _mm_shufflelo_epi16(a, imm) \
+ __extension__({ \
+ int16x8_t _input = vreinterpretq_s16_m128i(a); \
+ int16x8_t _shuf = __builtin_shufflevector( \
+ _input, _input, ((imm) & (0x3)), (((imm) >> 2) & 0x3), \
+ (((imm) >> 4) & 0x3), (((imm) >> 6) & 0x3), 4, 5, 6, 7); \
+ vreinterpretq_m128i_s16(_shuf); \
+ })
+#else // generic
+#define _mm_shufflelo_epi16(a, imm) _mm_shufflelo_epi16_function((a), (imm))
+#endif
+
+// Shuffles the upper 4 signed or unsigned 16-bit integers in a as specified
+// by imm.
+// https://msdn.microsoft.com/en-us/library/13ywktbs(v=vs.100).aspx
+// FORCE_INLINE __m128i _mm_shufflehi_epi16_function(__m128i a,
+// __constrange(0,255) int
+// imm)
+#define _mm_shufflehi_epi16_function(a, imm) \
+ __extension__({ \
+ int16x8_t ret = vreinterpretq_s16_m128i(a); \
+ int16x4_t highBits = vget_high_s16(ret); \
+ ret = vsetq_lane_s16(vget_lane_s16(highBits, (imm) & (0x3)), ret, 4); \
+ ret = vsetq_lane_s16(vget_lane_s16(highBits, ((imm) >> 2) & 0x3), ret, \
+ 5); \
+ ret = vsetq_lane_s16(vget_lane_s16(highBits, ((imm) >> 4) & 0x3), ret, \
+ 6); \
+ ret = vsetq_lane_s16(vget_lane_s16(highBits, ((imm) >> 6) & 0x3), ret, \
+ 7); \
+ vreinterpretq_m128i_s16(ret); \
+ })
+
+// FORCE_INLINE __m128i _mm_shufflehi_epi16(__m128i a,
+// __constrange(0,255) int imm)
+#if __has_builtin(__builtin_shufflevector)
+#define _mm_shufflehi_epi16(a, imm) \
+ __extension__({ \
+ int16x8_t _input = vreinterpretq_s16_m128i(a); \
+ int16x8_t _shuf = __builtin_shufflevector( \
+ _input, _input, 0, 1, 2, 3, ((imm) & (0x3)) + 4, \
+ (((imm) >> 2) & 0x3) + 4, (((imm) >> 4) & 0x3) + 4, \
+ (((imm) >> 6) & 0x3) + 4); \
+ vreinterpretq_m128i_s16(_shuf); \
+ })
+#else // generic
+#define _mm_shufflehi_epi16(a, imm) _mm_shufflehi_epi16_function((a), (imm))
+#endif
+
+// Shuffle double-precision (64-bit) floating-point elements using the control
+// in imm8, and store the results in dst.
+//
+// dst[63:0] := (imm8[0] == 0) ? a[63:0] : a[127:64]
+// dst[127:64] := (imm8[1] == 0) ? b[63:0] : b[127:64]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_shuffle_pd
+#if __has_builtin(__builtin_shufflevector)
+#define _mm_shuffle_pd(a, b, imm8) \
+ vreinterpretq_m128d_s64(__builtin_shufflevector( \
+ vreinterpretq_s64_m128d(a), vreinterpretq_s64_m128d(b), imm8 & 0x1, \
+ ((imm8 & 0x2) >> 1) + 2))
+#else
+#define _mm_shuffle_pd(a, b, imm8) \
+ _mm_castsi128_pd(_mm_set_epi64x( \
+ vgetq_lane_s64(vreinterpretq_s64_m128d(b), (imm8 & 0x2) >> 1), \
+ vgetq_lane_s64(vreinterpretq_s64_m128d(a), imm8 & 0x1)))
+#endif
+
+// Blend packed 16-bit integers from a and b using control mask imm8, and store
+// the results in dst.
+//
+// FOR j := 0 to 7
+// i := j*16
+// IF imm8[j]
+// dst[i+15:i] := b[i+15:i]
+// ELSE
+// dst[i+15:i] := a[i+15:i]
+// FI
+// ENDFOR
+// FORCE_INLINE __m128i _mm_blend_epi16(__m128i a, __m128i b,
+// __constrange(0,255) int imm)
+#define _mm_blend_epi16(a, b, imm) \
+ __extension__({ \
+ const uint16_t _mask[8] = {((imm) & (1 << 0)) ? 0xFFFF : 0x0000, \
+ ((imm) & (1 << 1)) ? 0xFFFF : 0x0000, \
+ ((imm) & (1 << 2)) ? 0xFFFF : 0x0000, \
+ ((imm) & (1 << 3)) ? 0xFFFF : 0x0000, \
+ ((imm) & (1 << 4)) ? 0xFFFF : 0x0000, \
+ ((imm) & (1 << 5)) ? 0xFFFF : 0x0000, \
+ ((imm) & (1 << 6)) ? 0xFFFF : 0x0000, \
+ ((imm) & (1 << 7)) ? 0xFFFF : 0x0000}; \
+ uint16x8_t _mask_vec = vld1q_u16(_mask); \
+ uint16x8_t _a = vreinterpretq_u16_m128i(a); \
+ uint16x8_t _b = vreinterpretq_u16_m128i(b); \
+ vreinterpretq_m128i_u16(vbslq_u16(_mask_vec, _b, _a)); \
+ })
+
+// Blend packed 8-bit integers from a and b using mask, and store the results in
+// dst.
+//
+// FOR j := 0 to 15
+// i := j*8
+// IF mask[i+7]
+// dst[i+7:i] := b[i+7:i]
+// ELSE
+// dst[i+7:i] := a[i+7:i]
+// FI
+// ENDFOR
+FORCE_INLINE __m128i _mm_blendv_epi8(__m128i _a, __m128i _b, __m128i _mask)
+{
+ // Use a signed shift right to create a mask with the sign bit
+ uint8x16_t mask =
+ vreinterpretq_u8_s8(vshrq_n_s8(vreinterpretq_s8_m128i(_mask), 7));
+ uint8x16_t a = vreinterpretq_u8_m128i(_a);
+ uint8x16_t b = vreinterpretq_u8_m128i(_b);
+ return vreinterpretq_m128i_u8(vbslq_u8(mask, b, a));
+}
+
+/* Shifts */
+
+
+// Shift packed 16-bit integers in a right by imm while shifting in sign
+// bits, and store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_srai_epi16
+FORCE_INLINE __m128i _mm_srai_epi16(__m128i a, int imm)
+{
+ const int count = (imm & ~15) ? 15 : imm;
+ return (__m128i) vshlq_s16((int16x8_t) a, vdupq_n_s16(-count));
+}
+
+// Shifts the 8 signed or unsigned 16-bit integers in a left by count bits while
+// shifting in zeros.
+//
+// r0 := a0 << count
+// r1 := a1 << count
+// ...
+// r7 := a7 << count
+//
+// https://msdn.microsoft.com/en-us/library/es73bcsy(v=vs.90).aspx
+#define _mm_slli_epi16(a, imm) \
+ __extension__({ \
+ __m128i ret; \
+ if (unlikely((imm)) <= 0) { \
+ ret = a; \
+ } \
+ if (unlikely((imm) > 15)) { \
+ ret = _mm_setzero_si128(); \
+ } else { \
+ ret = vreinterpretq_m128i_s16( \
+ vshlq_n_s16(vreinterpretq_s16_m128i(a), (imm))); \
+ } \
+ ret; \
+ })
+
+// Shifts the 4 signed or unsigned 32-bit integers in a left by count bits while
+// shifting in zeros. :
+// https://msdn.microsoft.com/en-us/library/z2k3bbtb%28v=vs.90%29.aspx
+// FORCE_INLINE __m128i _mm_slli_epi32(__m128i a, __constrange(0,255) int imm)
+FORCE_INLINE __m128i _mm_slli_epi32(__m128i a, int imm)
+{
+ if (unlikely(imm <= 0)) /* TODO: add constant range macro: [0, 255] */
+ return a;
+ if (unlikely(imm > 31))
+ return _mm_setzero_si128();
+ return vreinterpretq_m128i_s32(
+ vshlq_s32(vreinterpretq_s32_m128i(a), vdupq_n_s32(imm)));
+}
+
+// Shift packed 64-bit integers in a left by imm8 while shifting in zeros, and
+// store the results in dst.
+FORCE_INLINE __m128i _mm_slli_epi64(__m128i a, int imm)
+{
+ if (unlikely(imm <= 0)) /* TODO: add constant range macro: [0, 255] */
+ return a;
+ if (unlikely(imm > 63))
+ return _mm_setzero_si128();
+ return vreinterpretq_m128i_s64(
+ vshlq_s64(vreinterpretq_s64_m128i(a), vdupq_n_s64(imm)));
+}
+
+// Shift packed 16-bit integers in a right by imm8 while shifting in zeros, and
+// store the results in dst.
+//
+// FOR j := 0 to 7
+// i := j*16
+// IF imm8[7:0] > 15
+// dst[i+15:i] := 0
+// ELSE
+// dst[i+15:i] := ZeroExtend16(a[i+15:i] >> imm8[7:0])
+// FI
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_srli_epi16
+#define _mm_srli_epi16(a, imm) \
+ __extension__({ \
+ __m128i ret; \
+ if (unlikely(imm) == 0) { \
+ ret = a; \
+ } \
+ if (likely(0 < (imm) && (imm) < 16)) { \
+ ret = vreinterpretq_m128i_u16( \
+ vshlq_u16(vreinterpretq_u16_m128i(a), vdupq_n_s16(-imm))); \
+ } else { \
+ ret = _mm_setzero_si128(); \
+ } \
+ ret; \
+ })
+
+// Shift packed 32-bit integers in a right by imm8 while shifting in zeros, and
+// store the results in dst.
+//
+// FOR j := 0 to 3
+// i := j*32
+// IF imm8[7:0] > 31
+// dst[i+31:i] := 0
+// ELSE
+// dst[i+31:i] := ZeroExtend32(a[i+31:i] >> imm8[7:0])
+// FI
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_srli_epi32
+// FORCE_INLINE __m128i _mm_srli_epi32(__m128i a, __constrange(0,255) int imm)
+#define _mm_srli_epi32(a, imm) \
+ __extension__({ \
+ __m128i ret; \
+ if (unlikely((imm) == 0)) { \
+ ret = a; \
+ } \
+ if (likely(0 < (imm) && (imm) < 32)) { \
+ ret = vreinterpretq_m128i_u32( \
+ vshlq_u32(vreinterpretq_u32_m128i(a), vdupq_n_s32(-imm))); \
+ } else { \
+ ret = _mm_setzero_si128(); \
+ } \
+ ret; \
+ })
+
+// Shift packed 64-bit integers in a right by imm8 while shifting in zeros, and
+// store the results in dst.
+//
+// FOR j := 0 to 1
+// i := j*64
+// IF imm8[7:0] > 63
+// dst[i+63:i] := 0
+// ELSE
+// dst[i+63:i] := ZeroExtend64(a[i+63:i] >> imm8[7:0])
+// FI
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_srli_epi64
+#define _mm_srli_epi64(a, imm) \
+ __extension__({ \
+ __m128i ret; \
+ if (unlikely((imm) == 0)) { \
+ ret = a; \
+ } \
+ if (likely(0 < (imm) && (imm) < 64)) { \
+ ret = vreinterpretq_m128i_u64( \
+ vshlq_u64(vreinterpretq_u64_m128i(a), vdupq_n_s64(-imm))); \
+ } else { \
+ ret = _mm_setzero_si128(); \
+ } \
+ ret; \
+ })
+
+// Shift packed 32-bit integers in a right by imm8 while shifting in sign bits,
+// and store the results in dst.
+//
+// FOR j := 0 to 3
+// i := j*32
+// IF imm8[7:0] > 31
+// dst[i+31:i] := (a[i+31] ? 0xFFFFFFFF : 0x0)
+// ELSE
+// dst[i+31:i] := SignExtend32(a[i+31:i] >> imm8[7:0])
+// FI
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_srai_epi32
+// FORCE_INLINE __m128i _mm_srai_epi32(__m128i a, __constrange(0,255) int imm)
+#define _mm_srai_epi32(a, imm) \
+ __extension__({ \
+ __m128i ret; \
+ if (unlikely((imm) == 0)) { \
+ ret = a; \
+ } \
+ if (likely(0 < (imm) && (imm) < 32)) { \
+ ret = vreinterpretq_m128i_s32( \
+ vshlq_s32(vreinterpretq_s32_m128i(a), vdupq_n_s32(-imm))); \
+ } else { \
+ ret = vreinterpretq_m128i_s32( \
+ vshrq_n_s32(vreinterpretq_s32_m128i(a), 31)); \
+ } \
+ ret; \
+ })
+
+// Shifts the 128 - bit value in a right by imm bytes while shifting in
+// zeros.imm must be an immediate.
+//
+// r := srl(a, imm*8)
+//
+// https://msdn.microsoft.com/en-us/library/305w28yz(v=vs.100).aspx
+// FORCE_INLINE _mm_srli_si128(__m128i a, __constrange(0,255) int imm)
+#define _mm_srli_si128(a, imm) \
+ __extension__({ \
+ __m128i ret; \
+ if (unlikely((imm) <= 0)) { \
+ ret = a; \
+ } \
+ if (unlikely((imm) > 15)) { \
+ ret = _mm_setzero_si128(); \
+ } else { \
+ ret = vreinterpretq_m128i_s8( \
+ vextq_s8(vreinterpretq_s8_m128i(a), vdupq_n_s8(0), (imm))); \
+ } \
+ ret; \
+ })
+
+// Shifts the 128-bit value in a left by imm bytes while shifting in zeros. imm
+// must be an immediate.
+//
+// r := a << (imm * 8)
+//
+// https://msdn.microsoft.com/en-us/library/34d3k2kt(v=vs.100).aspx
+// FORCE_INLINE __m128i _mm_slli_si128(__m128i a, __constrange(0,255) int imm)
+#define _mm_slli_si128(a, imm) \
+ __extension__({ \
+ __m128i ret; \
+ if (unlikely((imm) <= 0)) { \
+ ret = a; \
+ } \
+ if (unlikely((imm) > 15)) { \
+ ret = _mm_setzero_si128(); \
+ } else { \
+ ret = vreinterpretq_m128i_s8(vextq_s8( \
+ vdupq_n_s8(0), vreinterpretq_s8_m128i(a), 16 - (imm))); \
+ } \
+ ret; \
+ })
+
+// Shifts the 8 signed or unsigned 16-bit integers in a left by count bits while
+// shifting in zeros.
+//
+// r0 := a0 << count
+// r1 := a1 << count
+// ...
+// r7 := a7 << count
+//
+// https://msdn.microsoft.com/en-us/library/c79w388h(v%3dvs.90).aspx
+FORCE_INLINE __m128i _mm_sll_epi16(__m128i a, __m128i count)
+{
+ uint64_t c = vreinterpretq_nth_u64_m128i(count, 0);
+ if (unlikely(c > 15))
+ return _mm_setzero_si128();
+
+ int16x8_t vc = vdupq_n_s16((int16_t) c);
+ return vreinterpretq_m128i_s16(vshlq_s16(vreinterpretq_s16_m128i(a), vc));
+}
+
+// Shifts the 4 signed or unsigned 32-bit integers in a left by count bits while
+// shifting in zeros.
+//
+// r0 := a0 << count
+// r1 := a1 << count
+// r2 := a2 << count
+// r3 := a3 << count
+//
+// https://msdn.microsoft.com/en-us/library/6fe5a6s9(v%3dvs.90).aspx
+FORCE_INLINE __m128i _mm_sll_epi32(__m128i a, __m128i count)
+{
+ uint64_t c = vreinterpretq_nth_u64_m128i(count, 0);
+ if (unlikely(c > 31))
+ return _mm_setzero_si128();
+
+ int32x4_t vc = vdupq_n_s32((int32_t) c);
+ return vreinterpretq_m128i_s32(vshlq_s32(vreinterpretq_s32_m128i(a), vc));
+}
+
+// Shifts the 2 signed or unsigned 64-bit integers in a left by count bits while
+// shifting in zeros.
+//
+// r0 := a0 << count
+// r1 := a1 << count
+//
+// https://msdn.microsoft.com/en-us/library/6ta9dffd(v%3dvs.90).aspx
+FORCE_INLINE __m128i _mm_sll_epi64(__m128i a, __m128i count)
+{
+ uint64_t c = vreinterpretq_nth_u64_m128i(count, 0);
+ if (unlikely(c > 63))
+ return _mm_setzero_si128();
+
+ int64x2_t vc = vdupq_n_s64((int64_t) c);
+ return vreinterpretq_m128i_s64(vshlq_s64(vreinterpretq_s64_m128i(a), vc));
+}
+
+// Shifts the 8 signed or unsigned 16-bit integers in a right by count bits
+// while shifting in zeros.
+//
+// r0 := srl(a0, count)
+// r1 := srl(a1, count)
+// ...
+// r7 := srl(a7, count)
+//
+// https://msdn.microsoft.com/en-us/library/wd5ax830(v%3dvs.90).aspx
+FORCE_INLINE __m128i _mm_srl_epi16(__m128i a, __m128i count)
+{
+ uint64_t c = vreinterpretq_nth_u64_m128i(count, 0);
+ if (unlikely(c > 15))
+ return _mm_setzero_si128();
+
+ int16x8_t vc = vdupq_n_s16(-(int16_t) c);
+ return vreinterpretq_m128i_u16(vshlq_u16(vreinterpretq_u16_m128i(a), vc));
+}
+
+// Shifts the 4 signed or unsigned 32-bit integers in a right by count bits
+// while shifting in zeros.
+//
+// r0 := srl(a0, count)
+// r1 := srl(a1, count)
+// r2 := srl(a2, count)
+// r3 := srl(a3, count)
+//
+// https://msdn.microsoft.com/en-us/library/a9cbttf4(v%3dvs.90).aspx
+FORCE_INLINE __m128i _mm_srl_epi32(__m128i a, __m128i count)
+{
+ uint64_t c = vreinterpretq_nth_u64_m128i(count, 0);
+ if (unlikely(c > 31))
+ return _mm_setzero_si128();
+
+ int32x4_t vc = vdupq_n_s32(-(int32_t) c);
+ return vreinterpretq_m128i_u32(vshlq_u32(vreinterpretq_u32_m128i(a), vc));
+}
+
+// Shifts the 2 signed or unsigned 64-bit integers in a right by count bits
+// while shifting in zeros.
+//
+// r0 := srl(a0, count)
+// r1 := srl(a1, count)
+//
+// https://msdn.microsoft.com/en-us/library/yf6cf9k8(v%3dvs.90).aspx
+FORCE_INLINE __m128i _mm_srl_epi64(__m128i a, __m128i count)
+{
+ uint64_t c = vreinterpretq_nth_u64_m128i(count, 0);
+ if (unlikely(c > 63))
+ return _mm_setzero_si128();
+
+ int64x2_t vc = vdupq_n_s64(-(int64_t) c);
+ return vreinterpretq_m128i_u64(vshlq_u64(vreinterpretq_u64_m128i(a), vc));
+}
+
+// NEON does not provide a version of this function.
+// Creates a 16-bit mask from the most significant bits of the 16 signed or
+// unsigned 8-bit integers in a and zero extends the upper bits.
+// https://msdn.microsoft.com/en-us/library/vstudio/s090c8fk(v=vs.100).aspx
+FORCE_INLINE int _mm_movemask_epi8(__m128i a)
+{
+ // Use increasingly wide shifts+adds to collect the sign bits
+ // together.
+ // Since the widening shifts would be rather confusing to follow in little
+ // endian, everything will be illustrated in big endian order instead. This
+ // has a different result - the bits would actually be reversed on a big
+ // endian machine.
+
+ // Starting input (only half the elements are shown):
+ // 89 ff 1d c0 00 10 99 33
+ uint8x16_t input = vreinterpretq_u8_m128i(a);
+
+ // Shift out everything but the sign bits with an unsigned shift right.
+ //
+ // Bytes of the vector::
+ // 89 ff 1d c0 00 10 99 33
+ // \ \ \ \ \ \ \ \ high_bits = (uint16x4_t)(input >> 7)
+ // | | | | | | | |
+ // 01 01 00 01 00 00 01 00
+ //
+ // Bits of first important lane(s):
+ // 10001001 (89)
+ // \______
+ // |
+ // 00000001 (01)
+ uint16x8_t high_bits = vreinterpretq_u16_u8(vshrq_n_u8(input, 7));
+
+ // Merge the even lanes together with a 16-bit unsigned shift right + add.
+ // 'xx' represents garbage data which will be ignored in the final result.
+ // In the important bytes, the add functions like a binary OR.
+ //
+ // 01 01 00 01 00 00 01 00
+ // \_ | \_ | \_ | \_ | paired16 = (uint32x4_t)(input + (input >> 7))
+ // \| \| \| \|
+ // xx 03 xx 01 xx 00 xx 02
+ //
+ // 00000001 00000001 (01 01)
+ // \_______ |
+ // \|
+ // xxxxxxxx xxxxxx11 (xx 03)
+ uint32x4_t paired16 =
+ vreinterpretq_u32_u16(vsraq_n_u16(high_bits, high_bits, 7));
+
+ // Repeat with a wider 32-bit shift + add.
+ // xx 03 xx 01 xx 00 xx 02
+ // \____ | \____ | paired32 = (uint64x1_t)(paired16 + (paired16 >>
+ // 14))
+ // \| \|
+ // xx xx xx 0d xx xx xx 02
+ //
+ // 00000011 00000001 (03 01)
+ // \\_____ ||
+ // '----.\||
+ // xxxxxxxx xxxx1101 (xx 0d)
+ uint64x2_t paired32 =
+ vreinterpretq_u64_u32(vsraq_n_u32(paired16, paired16, 14));
+
+ // Last, an even wider 64-bit shift + add to get our result in the low 8 bit
+ // lanes. xx xx xx 0d xx xx xx 02
+ // \_________ | paired64 = (uint8x8_t)(paired32 + (paired32 >>
+ // 28))
+ // \|
+ // xx xx xx xx xx xx xx d2
+ //
+ // 00001101 00000010 (0d 02)
+ // \ \___ | |
+ // '---. \| |
+ // xxxxxxxx 11010010 (xx d2)
+ uint8x16_t paired64 =
+ vreinterpretq_u8_u64(vsraq_n_u64(paired32, paired32, 28));
+
+ // Extract the low 8 bits from each 64-bit lane with 2 8-bit extracts.
+ // xx xx xx xx xx xx xx d2
+ // || return paired64[0]
+ // d2
+ // Note: Little endian would return the correct value 4b (01001011) instead.
+ return vgetq_lane_u8(paired64, 0) | ((int) vgetq_lane_u8(paired64, 8) << 8);
+}
+
+// Copy the lower 64-bit integer in a to dst.
+//
+// dst[63:0] := a[63:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_movepi64_pi64
+FORCE_INLINE __m64 _mm_movepi64_pi64(__m128i a)
+{
+ return vreinterpret_m64_s64(vget_low_s64(vreinterpretq_s64_m128i(a)));
+}
+
+// Copy the 64-bit integer a to the lower element of dst, and zero the upper
+// element.
+//
+// dst[63:0] := a[63:0]
+// dst[127:64] := 0
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_movpi64_epi64
+FORCE_INLINE __m128i _mm_movpi64_epi64(__m64 a)
+{
+ return vreinterpretq_m128i_s64(
+ vcombine_s64(vreinterpret_s64_m64(a), vdup_n_s64(0)));
+}
+
+// NEON does not provide this method
+// Creates a 4-bit mask from the most significant bits of the four
+// single-precision, floating-point values.
+// https://msdn.microsoft.com/en-us/library/vstudio/4490ys29(v=vs.100).aspx
+FORCE_INLINE int _mm_movemask_ps(__m128 a)
+{
+ uint32x4_t input = vreinterpretq_u32_m128(a);
+#if defined(__aarch64__)
+ static const int32x4_t shift = {0, 1, 2, 3};
+ uint32x4_t tmp = vshrq_n_u32(input, 31);
+ return vaddvq_u32(vshlq_u32(tmp, shift));
+#else
+ // Uses the exact same method as _mm_movemask_epi8, see that for details.
+ // Shift out everything but the sign bits with a 32-bit unsigned shift
+ // right.
+ uint64x2_t high_bits = vreinterpretq_u64_u32(vshrq_n_u32(input, 31));
+ // Merge the two pairs together with a 64-bit unsigned shift right + add.
+ uint8x16_t paired =
+ vreinterpretq_u8_u64(vsraq_n_u64(high_bits, high_bits, 31));
+ // Extract the result.
+ return vgetq_lane_u8(paired, 0) | (vgetq_lane_u8(paired, 8) << 2);
+#endif
+}
+
+// Compute the bitwise NOT of a and then AND with a 128-bit vector containing
+// all 1's, and return 1 if the result is zero, otherwise return 0.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_test_all_ones
+FORCE_INLINE int _mm_test_all_ones(__m128i a)
+{
+ return (uint64_t)(vgetq_lane_s64(a, 0) & vgetq_lane_s64(a, 1)) ==
+ ~(uint64_t) 0;
+}
+
+// Compute the bitwise AND of 128 bits (representing integer data) in a and
+// mask, and return 1 if the result is zero, otherwise return 0.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_test_all_zeros
+FORCE_INLINE int _mm_test_all_zeros(__m128i a, __m128i mask)
+{
+ int64x2_t a_and_mask =
+ vandq_s64(vreinterpretq_s64_m128i(a), vreinterpretq_s64_m128i(mask));
+ return (vgetq_lane_s64(a_and_mask, 0) | vgetq_lane_s64(a_and_mask, 1)) ? 0
+ : 1;
+}
+
+/* Math operations */
+
+// Subtracts the four single-precision, floating-point values of a and b.
+//
+// r0 := a0 - b0
+// r1 := a1 - b1
+// r2 := a2 - b2
+// r3 := a3 - b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/1zad2k61(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_sub_ps(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_f32(
+ vsubq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Subtract the lower single-precision (32-bit) floating-point element in b from
+// the lower single-precision (32-bit) floating-point element in a, store the
+// result in the lower element of dst, and copy the upper 3 packed elements from
+// a to the upper elements of dst.
+//
+// dst[31:0] := a[31:0] - b[31:0]
+// dst[127:32] := a[127:32]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_sub_ss
+FORCE_INLINE __m128 _mm_sub_ss(__m128 a, __m128 b)
+{
+ return _mm_move_ss(a, _mm_sub_ps(a, b));
+}
+
+// Subtract 2 packed 64-bit integers in b from 2 packed 64-bit integers in a,
+// and store the results in dst.
+// r0 := a0 - b0
+// r1 := a1 - b1
+FORCE_INLINE __m128i _mm_sub_epi64(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s64(
+ vsubq_s64(vreinterpretq_s64_m128i(a), vreinterpretq_s64_m128i(b)));
+}
+
+// Subtracts the 4 signed or unsigned 32-bit integers of b from the 4 signed or
+// unsigned 32-bit integers of a.
+//
+// r0 := a0 - b0
+// r1 := a1 - b1
+// r2 := a2 - b2
+// r3 := a3 - b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/fhh866h0(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_sub_epi32(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s32(
+ vsubq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Subtract packed 16-bit integers in b from packed 16-bit integers in a, and
+// store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_sub_epi16
+FORCE_INLINE __m128i _mm_sub_epi16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s16(
+ vsubq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Subtract packed 8-bit integers in b from packed 8-bit integers in a, and
+// store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_sub_epi8
+FORCE_INLINE __m128i _mm_sub_epi8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s8(
+ vsubq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Subtract 64-bit integer b from 64-bit integer a, and store the result in dst.
+//
+// dst[63:0] := a[63:0] - b[63:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_sub_si64
+FORCE_INLINE __m64 _mm_sub_si64(__m64 a, __m64 b)
+{
+ return vreinterpret_m64_s64(
+ vsub_s64(vreinterpret_s64_m64(a), vreinterpret_s64_m64(b)));
+}
+
+// Subtracts the 8 unsigned 16-bit integers of bfrom the 8 unsigned 16-bit
+// integers of a and saturates..
+// https://technet.microsoft.com/en-us/subscriptions/index/f44y0s19(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_subs_epu16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u16(
+ vqsubq_u16(vreinterpretq_u16_m128i(a), vreinterpretq_u16_m128i(b)));
+}
+
+// Subtracts the 16 unsigned 8-bit integers of b from the 16 unsigned 8-bit
+// integers of a and saturates.
+//
+// r0 := UnsignedSaturate(a0 - b0)
+// r1 := UnsignedSaturate(a1 - b1)
+// ...
+// r15 := UnsignedSaturate(a15 - b15)
+//
+// https://technet.microsoft.com/en-us/subscriptions/yadkxc18(v=vs.90)
+FORCE_INLINE __m128i _mm_subs_epu8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u8(
+ vqsubq_u8(vreinterpretq_u8_m128i(a), vreinterpretq_u8_m128i(b)));
+}
+
+// Subtracts the 16 signed 8-bit integers of b from the 16 signed 8-bit integers
+// of a and saturates.
+//
+// r0 := SignedSaturate(a0 - b0)
+// r1 := SignedSaturate(a1 - b1)
+// ...
+// r15 := SignedSaturate(a15 - b15)
+//
+// https://technet.microsoft.com/en-us/subscriptions/by7kzks1(v=vs.90)
+FORCE_INLINE __m128i _mm_subs_epi8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s8(
+ vqsubq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Subtracts the 8 signed 16-bit integers of b from the 8 signed 16-bit integers
+// of a and saturates.
+//
+// r0 := SignedSaturate(a0 - b0)
+// r1 := SignedSaturate(a1 - b1)
+// ...
+// r7 := SignedSaturate(a7 - b7)
+//
+// https://technet.microsoft.com/en-us/subscriptions/3247z5b8(v=vs.90)
+FORCE_INLINE __m128i _mm_subs_epi16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s16(
+ vqsubq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Subtract packed double-precision (64-bit) floating-point elements in b from
+// packed double-precision (64-bit) floating-point elements in a, and store the
+// results in dst.
+//
+// FOR j := 0 to 1
+// i := j*64
+// dst[i+63:i] := a[i+63:i] - b[i+63:i]
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=mm_sub_pd
+FORCE_INLINE __m128d _mm_sub_pd(__m128d a, __m128d b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(
+ vsubq_f64(vreinterpretq_f64_m128d(a), vreinterpretq_f64_m128d(b)));
+#else
+ double *da = (double *) &a;
+ double *db = (double *) &b;
+ double c[2];
+ c[0] = da[0] - db[0];
+ c[1] = da[1] - db[1];
+ return vld1q_f32((float32_t *) c);
+#endif
+}
+
+// Subtract the lower double-precision (64-bit) floating-point element in b from
+// the lower double-precision (64-bit) floating-point element in a, store the
+// result in the lower element of dst, and copy the upper element from a to the
+// upper element of dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_sub_sd
+FORCE_INLINE __m128d _mm_sub_sd(__m128d a, __m128d b)
+{
+ return _mm_move_sd(a, _mm_sub_pd(a, b));
+}
+
+// Add packed unsigned 16-bit integers in a and b using saturation, and store
+// the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_adds_epu16
+FORCE_INLINE __m128i _mm_adds_epu16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u16(
+ vqaddq_u16(vreinterpretq_u16_m128i(a), vreinterpretq_u16_m128i(b)));
+}
+
+// Negate packed 8-bit integers in a when the corresponding signed
+// 8-bit integer in b is negative, and store the results in dst.
+// Element in dst are zeroed out when the corresponding element
+// in b is zero.
+//
+// for i in 0..15
+// if b[i] < 0
+// r[i] := -a[i]
+// else if b[i] == 0
+// r[i] := 0
+// else
+// r[i] := a[i]
+// fi
+// done
+FORCE_INLINE __m128i _mm_sign_epi8(__m128i _a, __m128i _b)
+{
+ int8x16_t a = vreinterpretq_s8_m128i(_a);
+ int8x16_t b = vreinterpretq_s8_m128i(_b);
+
+ // signed shift right: faster than vclt
+ // (b < 0) ? 0xFF : 0
+ uint8x16_t ltMask = vreinterpretq_u8_s8(vshrq_n_s8(b, 7));
+
+ // (b == 0) ? 0xFF : 0
+#if defined(__aarch64__)
+ int8x16_t zeroMask = vreinterpretq_s8_u8(vceqzq_s8(b));
+#else
+ int8x16_t zeroMask = vreinterpretq_s8_u8(vceqq_s8(b, vdupq_n_s8(0)));
+#endif
+
+ // bitwise select either a or nagative 'a' (vnegq_s8(a) return nagative 'a')
+ // based on ltMask
+ int8x16_t masked = vbslq_s8(ltMask, vnegq_s8(a), a);
+ // res = masked & (~zeroMask)
+ int8x16_t res = vbicq_s8(masked, zeroMask);
+
+ return vreinterpretq_m128i_s8(res);
+}
+
+// Negate packed 16-bit integers in a when the corresponding signed
+// 16-bit integer in b is negative, and store the results in dst.
+// Element in dst are zeroed out when the corresponding element
+// in b is zero.
+//
+// for i in 0..7
+// if b[i] < 0
+// r[i] := -a[i]
+// else if b[i] == 0
+// r[i] := 0
+// else
+// r[i] := a[i]
+// fi
+// done
+FORCE_INLINE __m128i _mm_sign_epi16(__m128i _a, __m128i _b)
+{
+ int16x8_t a = vreinterpretq_s16_m128i(_a);
+ int16x8_t b = vreinterpretq_s16_m128i(_b);
+
+ // signed shift right: faster than vclt
+ // (b < 0) ? 0xFFFF : 0
+ uint16x8_t ltMask = vreinterpretq_u16_s16(vshrq_n_s16(b, 15));
+ // (b == 0) ? 0xFFFF : 0
+#if defined(__aarch64__)
+ int16x8_t zeroMask = vreinterpretq_s16_u16(vceqzq_s16(b));
+#else
+ int16x8_t zeroMask = vreinterpretq_s16_u16(vceqq_s16(b, vdupq_n_s16(0)));
+#endif
+
+ // bitwise select either a or negative 'a' (vnegq_s16(a) equals to negative
+ // 'a') based on ltMask
+ int16x8_t masked = vbslq_s16(ltMask, vnegq_s16(a), a);
+ // res = masked & (~zeroMask)
+ int16x8_t res = vbicq_s16(masked, zeroMask);
+ return vreinterpretq_m128i_s16(res);
+}
+
+// Negate packed 32-bit integers in a when the corresponding signed
+// 32-bit integer in b is negative, and store the results in dst.
+// Element in dst are zeroed out when the corresponding element
+// in b is zero.
+//
+// for i in 0..3
+// if b[i] < 0
+// r[i] := -a[i]
+// else if b[i] == 0
+// r[i] := 0
+// else
+// r[i] := a[i]
+// fi
+// done
+FORCE_INLINE __m128i _mm_sign_epi32(__m128i _a, __m128i _b)
+{
+ int32x4_t a = vreinterpretq_s32_m128i(_a);
+ int32x4_t b = vreinterpretq_s32_m128i(_b);
+
+ // signed shift right: faster than vclt
+ // (b < 0) ? 0xFFFFFFFF : 0
+ uint32x4_t ltMask = vreinterpretq_u32_s32(vshrq_n_s32(b, 31));
+
+ // (b == 0) ? 0xFFFFFFFF : 0
+#if defined(__aarch64__)
+ int32x4_t zeroMask = vreinterpretq_s32_u32(vceqzq_s32(b));
+#else
+ int32x4_t zeroMask = vreinterpretq_s32_u32(vceqq_s32(b, vdupq_n_s32(0)));
+#endif
+
+ // bitwise select either a or negative 'a' (vnegq_s32(a) equals to negative
+ // 'a') based on ltMask
+ int32x4_t masked = vbslq_s32(ltMask, vnegq_s32(a), a);
+ // res = masked & (~zeroMask)
+ int32x4_t res = vbicq_s32(masked, zeroMask);
+ return vreinterpretq_m128i_s32(res);
+}
+
+// Negate packed 16-bit integers in a when the corresponding signed 16-bit
+// integer in b is negative, and store the results in dst. Element in dst are
+// zeroed out when the corresponding element in b is zero.
+//
+// FOR j := 0 to 3
+// i := j*16
+// IF b[i+15:i] < 0
+// dst[i+15:i] := -(a[i+15:i])
+// ELSE IF b[i+15:i] == 0
+// dst[i+15:i] := 0
+// ELSE
+// dst[i+15:i] := a[i+15:i]
+// FI
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_sign_pi16
+FORCE_INLINE __m64 _mm_sign_pi16(__m64 _a, __m64 _b)
+{
+ int16x4_t a = vreinterpret_s16_m64(_a);
+ int16x4_t b = vreinterpret_s16_m64(_b);
+
+ // signed shift right: faster than vclt
+ // (b < 0) ? 0xFFFF : 0
+ uint16x4_t ltMask = vreinterpret_u16_s16(vshr_n_s16(b, 15));
+
+ // (b == 0) ? 0xFFFF : 0
+#if defined(__aarch64__)
+ int16x4_t zeroMask = vreinterpret_s16_u16(vceqz_s16(b));
+#else
+ int16x4_t zeroMask = vreinterpret_s16_u16(vceq_s16(b, vdup_n_s16(0)));
+#endif
+
+ // bitwise select either a or nagative 'a' (vneg_s16(a) return nagative 'a')
+ // based on ltMask
+ int16x4_t masked = vbsl_s16(ltMask, vneg_s16(a), a);
+ // res = masked & (~zeroMask)
+ int16x4_t res = vbic_s16(masked, zeroMask);
+
+ return vreinterpret_m64_s16(res);
+}
+
+// Negate packed 32-bit integers in a when the corresponding signed 32-bit
+// integer in b is negative, and store the results in dst. Element in dst are
+// zeroed out when the corresponding element in b is zero.
+//
+// FOR j := 0 to 1
+// i := j*32
+// IF b[i+31:i] < 0
+// dst[i+31:i] := -(a[i+31:i])
+// ELSE IF b[i+31:i] == 0
+// dst[i+31:i] := 0
+// ELSE
+// dst[i+31:i] := a[i+31:i]
+// FI
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_sign_pi32
+FORCE_INLINE __m64 _mm_sign_pi32(__m64 _a, __m64 _b)
+{
+ int32x2_t a = vreinterpret_s32_m64(_a);
+ int32x2_t b = vreinterpret_s32_m64(_b);
+
+ // signed shift right: faster than vclt
+ // (b < 0) ? 0xFFFFFFFF : 0
+ uint32x2_t ltMask = vreinterpret_u32_s32(vshr_n_s32(b, 31));
+
+ // (b == 0) ? 0xFFFFFFFF : 0
+#if defined(__aarch64__)
+ int32x2_t zeroMask = vreinterpret_s32_u32(vceqz_s32(b));
+#else
+ int32x2_t zeroMask = vreinterpret_s32_u32(vceq_s32(b, vdup_n_s32(0)));
+#endif
+
+ // bitwise select either a or nagative 'a' (vneg_s32(a) return nagative 'a')
+ // based on ltMask
+ int32x2_t masked = vbsl_s32(ltMask, vneg_s32(a), a);
+ // res = masked & (~zeroMask)
+ int32x2_t res = vbic_s32(masked, zeroMask);
+
+ return vreinterpret_m64_s32(res);
+}
+
+// Negate packed 8-bit integers in a when the corresponding signed 8-bit integer
+// in b is negative, and store the results in dst. Element in dst are zeroed out
+// when the corresponding element in b is zero.
+//
+// FOR j := 0 to 7
+// i := j*8
+// IF b[i+7:i] < 0
+// dst[i+7:i] := -(a[i+7:i])
+// ELSE IF b[i+7:i] == 0
+// dst[i+7:i] := 0
+// ELSE
+// dst[i+7:i] := a[i+7:i]
+// FI
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_sign_pi8
+FORCE_INLINE __m64 _mm_sign_pi8(__m64 _a, __m64 _b)
+{
+ int8x8_t a = vreinterpret_s8_m64(_a);
+ int8x8_t b = vreinterpret_s8_m64(_b);
+
+ // signed shift right: faster than vclt
+ // (b < 0) ? 0xFF : 0
+ uint8x8_t ltMask = vreinterpret_u8_s8(vshr_n_s8(b, 7));
+
+ // (b == 0) ? 0xFF : 0
+#if defined(__aarch64__)
+ int8x8_t zeroMask = vreinterpret_s8_u8(vceqz_s8(b));
+#else
+ int8x8_t zeroMask = vreinterpret_s8_u8(vceq_s8(b, vdup_n_s8(0)));
+#endif
+
+ // bitwise select either a or nagative 'a' (vneg_s8(a) return nagative 'a')
+ // based on ltMask
+ int8x8_t masked = vbsl_s8(ltMask, vneg_s8(a), a);
+ // res = masked & (~zeroMask)
+ int8x8_t res = vbic_s8(masked, zeroMask);
+
+ return vreinterpret_m64_s8(res);
+}
+
+// Average packed unsigned 16-bit integers in a and b, and store the results in
+// dst.
+//
+// FOR j := 0 to 3
+// i := j*16
+// dst[i+15:i] := (a[i+15:i] + b[i+15:i] + 1) >> 1
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_avg_pu16
+FORCE_INLINE __m64 _mm_avg_pu16(__m64 a, __m64 b)
+{
+ return vreinterpret_m64_u16(
+ vrhadd_u16(vreinterpret_u16_m64(a), vreinterpret_u16_m64(b)));
+}
+
+// Average packed unsigned 8-bit integers in a and b, and store the results in
+// dst.
+//
+// FOR j := 0 to 7
+// i := j*8
+// dst[i+7:i] := (a[i+7:i] + b[i+7:i] + 1) >> 1
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_avg_pu8
+FORCE_INLINE __m64 _mm_avg_pu8(__m64 a, __m64 b)
+{
+ return vreinterpret_m64_u8(
+ vrhadd_u8(vreinterpret_u8_m64(a), vreinterpret_u8_m64(b)));
+}
+
+// Average packed unsigned 8-bit integers in a and b, and store the results in
+// dst.
+//
+// FOR j := 0 to 7
+// i := j*8
+// dst[i+7:i] := (a[i+7:i] + b[i+7:i] + 1) >> 1
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_m_pavgb
+#define _m_pavgb(a, b) _mm_avg_pu8(a, b)
+
+// Average packed unsigned 16-bit integers in a and b, and store the results in
+// dst.
+//
+// FOR j := 0 to 3
+// i := j*16
+// dst[i+15:i] := (a[i+15:i] + b[i+15:i] + 1) >> 1
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_m_pavgw
+#define _m_pavgw(a, b) _mm_avg_pu16(a, b)
+
+// Extract a 16-bit integer from a, selected with imm8, and store the result in
+// the lower element of dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_m_pextrw
+#define _m_pextrw(a, imm) _mm_extract_pi16(a, imm)
+
+// Copy a to dst, and insert the 16-bit integer i into dst at the location
+// specified by imm8.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=m_pinsrw
+#define _m_pinsrw(a, i, imm) _mm_insert_pi16(a, i, imm)
+
+// Compare packed signed 16-bit integers in a and b, and store packed maximum
+// values in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_m_pmaxsw
+#define _m_pmaxsw(a, b) _mm_max_pi16(a, b)
+
+// Compare packed unsigned 8-bit integers in a and b, and store packed maximum
+// values in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_m_pmaxub
+#define _m_pmaxub(a, b) _mm_max_pu8(a, b)
+
+// Compare packed signed 16-bit integers in a and b, and store packed minimum
+// values in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_m_pminsw
+#define _m_pminsw(a, b) _mm_min_pi16(a, b)
+
+// Compare packed unsigned 8-bit integers in a and b, and store packed minimum
+// values in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_m_pminub
+#define _m_pminub(a, b) _mm_min_pu8(a, b)
+
+// Computes the average of the 16 unsigned 8-bit integers in a and the 16
+// unsigned 8-bit integers in b and rounds.
+//
+// r0 := (a0 + b0) / 2
+// r1 := (a1 + b1) / 2
+// ...
+// r15 := (a15 + b15) / 2
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/8zwh554a(v%3dvs.90).aspx
+FORCE_INLINE __m128i _mm_avg_epu8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u8(
+ vrhaddq_u8(vreinterpretq_u8_m128i(a), vreinterpretq_u8_m128i(b)));
+}
+
+// Computes the average of the 8 unsigned 16-bit integers in a and the 8
+// unsigned 16-bit integers in b and rounds.
+//
+// r0 := (a0 + b0) / 2
+// r1 := (a1 + b1) / 2
+// ...
+// r7 := (a7 + b7) / 2
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/y13ca3c8(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_avg_epu16(__m128i a, __m128i b)
+{
+ return (__m128i) vrhaddq_u16(vreinterpretq_u16_m128i(a),
+ vreinterpretq_u16_m128i(b));
+}
+
+// Adds the four single-precision, floating-point values of a and b.
+//
+// r0 := a0 + b0
+// r1 := a1 + b1
+// r2 := a2 + b2
+// r3 := a3 + b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/c9848chc(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_add_ps(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_f32(
+ vaddq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Add packed double-precision (64-bit) floating-point elements in a and b, and
+// store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_add_pd
+FORCE_INLINE __m128d _mm_add_pd(__m128d a, __m128d b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(
+ vaddq_f64(vreinterpretq_f64_m128d(a), vreinterpretq_f64_m128d(b)));
+#else
+ double *da = (double *) &a;
+ double *db = (double *) &b;
+ double c[2];
+ c[0] = da[0] + db[0];
+ c[1] = da[1] + db[1];
+ return vld1q_f32((float32_t *) c);
+#endif
+}
+
+// Add the lower double-precision (64-bit) floating-point element in a and b,
+// store the result in the lower element of dst, and copy the upper element from
+// a to the upper element of dst.
+//
+// dst[63:0] := a[63:0] + b[63:0]
+// dst[127:64] := a[127:64]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_add_sd
+FORCE_INLINE __m128d _mm_add_sd(__m128d a, __m128d b)
+{
+#if defined(__aarch64__)
+ return _mm_move_sd(a, _mm_add_pd(a, b));
+#else
+ double *da = (double *) &a;
+ double *db = (double *) &b;
+ double c[2];
+ c[0] = da[0] + db[0];
+ c[1] = da[1];
+ return vld1q_f32((float32_t *) c);
+#endif
+}
+
+// Add 64-bit integers a and b, and store the result in dst.
+//
+// dst[63:0] := a[63:0] + b[63:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_add_si64
+FORCE_INLINE __m64 _mm_add_si64(__m64 a, __m64 b)
+{
+ return vreinterpret_m64_s64(
+ vadd_s64(vreinterpret_s64_m64(a), vreinterpret_s64_m64(b)));
+}
+
+// adds the scalar single-precision floating point values of a and b.
+// https://msdn.microsoft.com/en-us/library/be94x2y6(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_add_ss(__m128 a, __m128 b)
+{
+ float32_t b0 = vgetq_lane_f32(vreinterpretq_f32_m128(b), 0);
+ float32x4_t value = vsetq_lane_f32(b0, vdupq_n_f32(0), 0);
+ // the upper values in the result must be the remnants of <a>.
+ return vreinterpretq_m128_f32(vaddq_f32(a, value));
+}
+
+// Adds the 4 signed or unsigned 64-bit integers in a to the 4 signed or
+// unsigned 32-bit integers in b.
+// https://msdn.microsoft.com/en-us/library/vstudio/09xs4fkk(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_add_epi64(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s64(
+ vaddq_s64(vreinterpretq_s64_m128i(a), vreinterpretq_s64_m128i(b)));
+}
+
+// Adds the 4 signed or unsigned 32-bit integers in a to the 4 signed or
+// unsigned 32-bit integers in b.
+//
+// r0 := a0 + b0
+// r1 := a1 + b1
+// r2 := a2 + b2
+// r3 := a3 + b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/09xs4fkk(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_add_epi32(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s32(
+ vaddq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Adds the 8 signed or unsigned 16-bit integers in a to the 8 signed or
+// unsigned 16-bit integers in b.
+// https://msdn.microsoft.com/en-us/library/fceha5k4(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_add_epi16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s16(
+ vaddq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Adds the 16 signed or unsigned 8-bit integers in a to the 16 signed or
+// unsigned 8-bit integers in b.
+// https://technet.microsoft.com/en-us/subscriptions/yc7tcyzs(v=vs.90)
+FORCE_INLINE __m128i _mm_add_epi8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s8(
+ vaddq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Adds the 8 signed 16-bit integers in a to the 8 signed 16-bit integers in b
+// and saturates.
+//
+// r0 := SignedSaturate(a0 + b0)
+// r1 := SignedSaturate(a1 + b1)
+// ...
+// r7 := SignedSaturate(a7 + b7)
+//
+// https://msdn.microsoft.com/en-us/library/1a306ef8(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_adds_epi16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s16(
+ vqaddq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Add packed signed 8-bit integers in a and b using saturation, and store the
+// results in dst.
+//
+// FOR j := 0 to 15
+// i := j*8
+// dst[i+7:i] := Saturate8( a[i+7:i] + b[i+7:i] )
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_adds_epi8
+FORCE_INLINE __m128i _mm_adds_epi8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s8(
+ vqaddq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Adds the 16 unsigned 8-bit integers in a to the 16 unsigned 8-bit integers in
+// b and saturates..
+// https://msdn.microsoft.com/en-us/library/9hahyddy(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_adds_epu8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u8(
+ vqaddq_u8(vreinterpretq_u8_m128i(a), vreinterpretq_u8_m128i(b)));
+}
+
+// Multiplies the 8 signed or unsigned 16-bit integers from a by the 8 signed or
+// unsigned 16-bit integers from b.
+//
+// r0 := (a0 * b0)[15:0]
+// r1 := (a1 * b1)[15:0]
+// ...
+// r7 := (a7 * b7)[15:0]
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/9ks1472s(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_mullo_epi16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s16(
+ vmulq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Multiplies the 4 signed or unsigned 32-bit integers from a by the 4 signed or
+// unsigned 32-bit integers from b.
+// https://msdn.microsoft.com/en-us/library/vstudio/bb531409(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_mullo_epi32(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s32(
+ vmulq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Multiply the packed unsigned 16-bit integers in a and b, producing
+// intermediate 32-bit integers, and store the high 16 bits of the intermediate
+// integers in dst.
+//
+// FOR j := 0 to 3
+// i := j*16
+// tmp[31:0] := a[i+15:i] * b[i+15:i]
+// dst[i+15:i] := tmp[31:16]
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_m_pmulhuw
+#define _m_pmulhuw(a, b) _mm_mulhi_pu16(a, b)
+
+// Multiplies the four single-precision, floating-point values of a and b.
+//
+// r0 := a0 * b0
+// r1 := a1 * b1
+// r2 := a2 * b2
+// r3 := a3 * b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/22kbk6t9(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_mul_ps(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_f32(
+ vmulq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Multiply packed double-precision (64-bit) floating-point elements in a and b,
+// and store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_mul_pd
+FORCE_INLINE __m128d _mm_mul_pd(__m128d a, __m128d b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(
+ vmulq_f64(vreinterpretq_f64_m128d(a), vreinterpretq_f64_m128d(b)));
+#else
+ double *da = (double *) &a;
+ double *db = (double *) &b;
+ double c[2];
+ c[0] = da[0] * db[0];
+ c[1] = da[1] * db[1];
+ return vld1q_f32((float32_t *) c);
+#endif
+}
+
+// Multiply the lower double-precision (64-bit) floating-point element in a and
+// b, store the result in the lower element of dst, and copy the upper element
+// from a to the upper element of dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=mm_mul_sd
+FORCE_INLINE __m128d _mm_mul_sd(__m128d a, __m128d b)
+{
+ return _mm_move_sd(a, _mm_mul_pd(a, b));
+}
+
+// Multiply the lower single-precision (32-bit) floating-point element in a and
+// b, store the result in the lower element of dst, and copy the upper 3 packed
+// elements from a to the upper elements of dst.
+//
+// dst[31:0] := a[31:0] * b[31:0]
+// dst[127:32] := a[127:32]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_mul_ss
+FORCE_INLINE __m128 _mm_mul_ss(__m128 a, __m128 b)
+{
+ return _mm_move_ss(a, _mm_mul_ps(a, b));
+}
+
+// Multiply the low unsigned 32-bit integers from each packed 64-bit element in
+// a and b, and store the unsigned 64-bit results in dst.
+//
+// r0 := (a0 & 0xFFFFFFFF) * (b0 & 0xFFFFFFFF)
+// r1 := (a2 & 0xFFFFFFFF) * (b2 & 0xFFFFFFFF)
+FORCE_INLINE __m128i _mm_mul_epu32(__m128i a, __m128i b)
+{
+ // vmull_u32 upcasts instead of masking, so we downcast.
+ uint32x2_t a_lo = vmovn_u64(vreinterpretq_u64_m128i(a));
+ uint32x2_t b_lo = vmovn_u64(vreinterpretq_u64_m128i(b));
+ return vreinterpretq_m128i_u64(vmull_u32(a_lo, b_lo));
+}
+
+// Multiply the low unsigned 32-bit integers from a and b, and store the
+// unsigned 64-bit result in dst.
+//
+// dst[63:0] := a[31:0] * b[31:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_mul_su32
+FORCE_INLINE __m64 _mm_mul_su32(__m64 a, __m64 b)
+{
+ return vreinterpret_m64_u64(vget_low_u64(
+ vmull_u32(vreinterpret_u32_m64(a), vreinterpret_u32_m64(b))));
+}
+
+// Multiply the low signed 32-bit integers from each packed 64-bit element in
+// a and b, and store the signed 64-bit results in dst.
+//
+// r0 := (int64_t)(int32_t)a0 * (int64_t)(int32_t)b0
+// r1 := (int64_t)(int32_t)a2 * (int64_t)(int32_t)b2
+FORCE_INLINE __m128i _mm_mul_epi32(__m128i a, __m128i b)
+{
+ // vmull_s32 upcasts instead of masking, so we downcast.
+ int32x2_t a_lo = vmovn_s64(vreinterpretq_s64_m128i(a));
+ int32x2_t b_lo = vmovn_s64(vreinterpretq_s64_m128i(b));
+ return vreinterpretq_m128i_s64(vmull_s32(a_lo, b_lo));
+}
+
+// Multiplies the 8 signed 16-bit integers from a by the 8 signed 16-bit
+// integers from b.
+//
+// r0 := (a0 * b0) + (a1 * b1)
+// r1 := (a2 * b2) + (a3 * b3)
+// r2 := (a4 * b4) + (a5 * b5)
+// r3 := (a6 * b6) + (a7 * b7)
+// https://msdn.microsoft.com/en-us/library/yht36sa6(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_madd_epi16(__m128i a, __m128i b)
+{
+ int32x4_t low = vmull_s16(vget_low_s16(vreinterpretq_s16_m128i(a)),
+ vget_low_s16(vreinterpretq_s16_m128i(b)));
+ int32x4_t high = vmull_s16(vget_high_s16(vreinterpretq_s16_m128i(a)),
+ vget_high_s16(vreinterpretq_s16_m128i(b)));
+
+ int32x2_t low_sum = vpadd_s32(vget_low_s32(low), vget_high_s32(low));
+ int32x2_t high_sum = vpadd_s32(vget_low_s32(high), vget_high_s32(high));
+
+ return vreinterpretq_m128i_s32(vcombine_s32(low_sum, high_sum));
+}
+
+// Multiply packed signed 16-bit integers in a and b, producing intermediate
+// signed 32-bit integers. Shift right by 15 bits while rounding up, and store
+// the packed 16-bit integers in dst.
+//
+// r0 := Round(((int32_t)a0 * (int32_t)b0) >> 15)
+// r1 := Round(((int32_t)a1 * (int32_t)b1) >> 15)
+// r2 := Round(((int32_t)a2 * (int32_t)b2) >> 15)
+// ...
+// r7 := Round(((int32_t)a7 * (int32_t)b7) >> 15)
+FORCE_INLINE __m128i _mm_mulhrs_epi16(__m128i a, __m128i b)
+{
+ // Has issues due to saturation
+ // return vreinterpretq_m128i_s16(vqrdmulhq_s16(a, b));
+
+ // Multiply
+ int32x4_t mul_lo = vmull_s16(vget_low_s16(vreinterpretq_s16_m128i(a)),
+ vget_low_s16(vreinterpretq_s16_m128i(b)));
+ int32x4_t mul_hi = vmull_s16(vget_high_s16(vreinterpretq_s16_m128i(a)),
+ vget_high_s16(vreinterpretq_s16_m128i(b)));
+
+ // Rounding narrowing shift right
+ // narrow = (int16_t)((mul + 16384) >> 15);
+ int16x4_t narrow_lo = vrshrn_n_s32(mul_lo, 15);
+ int16x4_t narrow_hi = vrshrn_n_s32(mul_hi, 15);
+
+ // Join together
+ return vreinterpretq_m128i_s16(vcombine_s16(narrow_lo, narrow_hi));
+}
+
+// Vertically multiply each unsigned 8-bit integer from a with the corresponding
+// signed 8-bit integer from b, producing intermediate signed 16-bit integers.
+// Horizontally add adjacent pairs of intermediate signed 16-bit integers,
+// and pack the saturated results in dst.
+//
+// FOR j := 0 to 7
+// i := j*16
+// dst[i+15:i] := Saturate_To_Int16( a[i+15:i+8]*b[i+15:i+8] +
+// a[i+7:i]*b[i+7:i] )
+// ENDFOR
+FORCE_INLINE __m128i _mm_maddubs_epi16(__m128i _a, __m128i _b)
+{
+#if defined(__aarch64__)
+ uint8x16_t a = vreinterpretq_u8_m128i(_a);
+ int8x16_t b = vreinterpretq_s8_m128i(_b);
+ int16x8_t tl = vmulq_s16(vreinterpretq_s16_u16(vmovl_u8(vget_low_u8(a))),
+ vmovl_s8(vget_low_s8(b)));
+ int16x8_t th = vmulq_s16(vreinterpretq_s16_u16(vmovl_u8(vget_high_u8(a))),
+ vmovl_s8(vget_high_s8(b)));
+ return vreinterpretq_m128i_s16(
+ vqaddq_s16(vuzp1q_s16(tl, th), vuzp2q_s16(tl, th)));
+#else
+ // This would be much simpler if x86 would choose to zero extend OR sign
+ // extend, not both. This could probably be optimized better.
+ uint16x8_t a = vreinterpretq_u16_m128i(_a);
+ int16x8_t b = vreinterpretq_s16_m128i(_b);
+
+ // Zero extend a
+ int16x8_t a_odd = vreinterpretq_s16_u16(vshrq_n_u16(a, 8));
+ int16x8_t a_even = vreinterpretq_s16_u16(vbicq_u16(a, vdupq_n_u16(0xff00)));
+
+ // Sign extend by shifting left then shifting right.
+ int16x8_t b_even = vshrq_n_s16(vshlq_n_s16(b, 8), 8);
+ int16x8_t b_odd = vshrq_n_s16(b, 8);
+
+ // multiply
+ int16x8_t prod1 = vmulq_s16(a_even, b_even);
+ int16x8_t prod2 = vmulq_s16(a_odd, b_odd);
+
+ // saturated add
+ return vreinterpretq_m128i_s16(vqaddq_s16(prod1, prod2));
+#endif
+}
+
+// Computes the fused multiple add product of 32-bit floating point numbers.
+//
+// Return Value
+// Multiplies A and B, and adds C to the temporary result before returning it.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_fmadd
+FORCE_INLINE __m128 _mm_fmadd_ps(__m128 a, __m128 b, __m128 c)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128_f32(vfmaq_f32(vreinterpretq_f32_m128(c),
+ vreinterpretq_f32_m128(b),
+ vreinterpretq_f32_m128(a)));
+#else
+ return _mm_add_ps(_mm_mul_ps(a, b), c);
+#endif
+}
+
+// Alternatively add and subtract packed single-precision (32-bit)
+// floating-point elements in a to/from packed elements in b, and store the
+// results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=addsub_ps
+FORCE_INLINE __m128 _mm_addsub_ps(__m128 a, __m128 b)
+{
+ __m128 mask = {-1.0f, 1.0f, -1.0f, 1.0f};
+ return _mm_fmadd_ps(b, mask, a);
+}
+
+// Horizontally add adjacent pairs of double-precision (64-bit) floating-point
+// elements in a and b, and pack the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_hadd_pd
+FORCE_INLINE __m128d _mm_hadd_pd(__m128d a, __m128d b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(
+ vpaddq_f64(vreinterpretq_f64_m128d(a), vreinterpretq_f64_m128d(b)));
+#else
+ double *da = (double *) &a;
+ double *db = (double *) &b;
+ double c[] = {da[0] + da[1], db[0] + db[1]};
+ return vreinterpretq_m128d_u64(vld1q_u64((uint64_t *) c));
+#endif
+}
+
+// Compute the absolute differences of packed unsigned 8-bit integers in a and
+// b, then horizontally sum each consecutive 8 differences to produce two
+// unsigned 16-bit integers, and pack these unsigned 16-bit integers in the low
+// 16 bits of 64-bit elements in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_sad_epu8
+FORCE_INLINE __m128i _mm_sad_epu8(__m128i a, __m128i b)
+{
+ uint16x8_t t = vpaddlq_u8(vabdq_u8((uint8x16_t) a, (uint8x16_t) b));
+ uint16_t r0 = t[0] + t[1] + t[2] + t[3];
+ uint16_t r4 = t[4] + t[5] + t[6] + t[7];
+ uint16x8_t r = vsetq_lane_u16(r0, vdupq_n_u16(0), 0);
+ return (__m128i) vsetq_lane_u16(r4, r, 4);
+}
+
+// Compute the absolute differences of packed unsigned 8-bit integers in a and
+// b, then horizontally sum each consecutive 8 differences to produce four
+// unsigned 16-bit integers, and pack these unsigned 16-bit integers in the low
+// 16 bits of dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_sad_pu8
+FORCE_INLINE __m64 _mm_sad_pu8(__m64 a, __m64 b)
+{
+ uint16x4_t t =
+ vpaddl_u8(vabd_u8(vreinterpret_u8_m64(a), vreinterpret_u8_m64(b)));
+ uint16_t r0 = t[0] + t[1] + t[2] + t[3];
+ return vreinterpret_m64_u16(vset_lane_u16(r0, vdup_n_u16(0), 0));
+}
+
+// Compute the absolute differences of packed unsigned 8-bit integers in a and
+// b, then horizontally sum each consecutive 8 differences to produce four
+// unsigned 16-bit integers, and pack these unsigned 16-bit integers in the low
+// 16 bits of dst.
+//
+// FOR j := 0 to 7
+// i := j*8
+// tmp[i+7:i] := ABS(a[i+7:i] - b[i+7:i])
+// ENDFOR
+// dst[15:0] := tmp[7:0] + tmp[15:8] + tmp[23:16] + tmp[31:24] + tmp[39:32] +
+// tmp[47:40] + tmp[55:48] + tmp[63:56] dst[63:16] := 0
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_m_psadbw
+#define _m_psadbw(a, b) _mm_sad_pu8(a, b)
+
+// Divides the four single-precision, floating-point values of a and b.
+//
+// r0 := a0 / b0
+// r1 := a1 / b1
+// r2 := a2 / b2
+// r3 := a3 / b3
+//
+// https://msdn.microsoft.com/en-us/library/edaw8147(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_div_ps(__m128 a, __m128 b)
+{
+#if defined(__aarch64__) && !SSE2NEON_PRECISE_DIV
+ return vreinterpretq_m128_f32(
+ vdivq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+#else
+ float32x4_t recip = vrecpeq_f32(vreinterpretq_f32_m128(b));
+ recip = vmulq_f32(recip, vrecpsq_f32(recip, vreinterpretq_f32_m128(b)));
+#if SSE2NEON_PRECISE_DIV
+ // Additional Netwon-Raphson iteration for accuracy
+ recip = vmulq_f32(recip, vrecpsq_f32(recip, vreinterpretq_f32_m128(b)));
+#endif
+ return vreinterpretq_m128_f32(vmulq_f32(vreinterpretq_f32_m128(a), recip));
+#endif
+}
+
+// Divides the scalar single-precision floating point value of a by b.
+// https://msdn.microsoft.com/en-us/library/4y73xa49(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_div_ss(__m128 a, __m128 b)
+{
+ float32_t value =
+ vgetq_lane_f32(vreinterpretq_f32_m128(_mm_div_ps(a, b)), 0);
+ return vreinterpretq_m128_f32(
+ vsetq_lane_f32(value, vreinterpretq_f32_m128(a), 0));
+}
+
+// Divide packed double-precision (64-bit) floating-point elements in a by
+// packed elements in b, and store the results in dst.
+//
+// FOR j := 0 to 1
+// i := 64*j
+// dst[i+63:i] := a[i+63:i] / b[i+63:i]
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_div_pd
+FORCE_INLINE __m128d _mm_div_pd(__m128d a, __m128d b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(
+ vdivq_f64(vreinterpretq_f64_m128d(a), vreinterpretq_f64_m128d(b)));
+#else
+ double *da = (double *) &a;
+ double *db = (double *) &b;
+ double c[2];
+ c[0] = da[0] / db[0];
+ c[1] = da[1] / db[1];
+ return vld1q_f32((float32_t *) c);
+#endif
+}
+
+// Divide the lower double-precision (64-bit) floating-point element in a by the
+// lower double-precision (64-bit) floating-point element in b, store the result
+// in the lower element of dst, and copy the upper element from a to the upper
+// element of dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_div_sd
+FORCE_INLINE __m128d _mm_div_sd(__m128d a, __m128d b)
+{
+#if defined(__aarch64__)
+ float64x2_t tmp =
+ vdivq_f64(vreinterpretq_f64_m128d(a), vreinterpretq_f64_m128d(b));
+ return vreinterpretq_m128d_f64(
+ vsetq_lane_f64(vgetq_lane_f64(vreinterpretq_f64_m128d(a), 1), tmp, 1));
+#else
+ return _mm_move_sd(a, _mm_div_pd(a, b));
+#endif
+}
+
+// Compute the approximate reciprocal of packed single-precision (32-bit)
+// floating-point elements in a, and store the results in dst. The maximum
+// relative error for this approximation is less than 1.5*2^-12.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_rcp_ps
+FORCE_INLINE __m128 _mm_rcp_ps(__m128 in)
+{
+ float32x4_t recip = vrecpeq_f32(vreinterpretq_f32_m128(in));
+ recip = vmulq_f32(recip, vrecpsq_f32(recip, vreinterpretq_f32_m128(in)));
+#if SSE2NEON_PRECISE_DIV
+ // Additional Netwon-Raphson iteration for accuracy
+ recip = vmulq_f32(recip, vrecpsq_f32(recip, vreinterpretq_f32_m128(in)));
+#endif
+ return vreinterpretq_m128_f32(recip);
+}
+
+// Compute the approximate reciprocal of the lower single-precision (32-bit)
+// floating-point element in a, store the result in the lower element of dst,
+// and copy the upper 3 packed elements from a to the upper elements of dst. The
+// maximum relative error for this approximation is less than 1.5*2^-12.
+//
+// dst[31:0] := (1.0 / a[31:0])
+// dst[127:32] := a[127:32]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_rcp_ss
+FORCE_INLINE __m128 _mm_rcp_ss(__m128 a)
+{
+ return _mm_move_ss(a, _mm_rcp_ps(a));
+}
+
+// Computes the approximations of square roots of the four single-precision,
+// floating-point values of a. First computes reciprocal square roots and then
+// reciprocals of the four values.
+//
+// r0 := sqrt(a0)
+// r1 := sqrt(a1)
+// r2 := sqrt(a2)
+// r3 := sqrt(a3)
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/8z67bwwk(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_sqrt_ps(__m128 in)
+{
+#if SSE2NEON_PRECISE_SQRT
+ float32x4_t recip = vrsqrteq_f32(vreinterpretq_f32_m128(in));
+
+ // Test for vrsqrteq_f32(0) -> positive infinity case.
+ // Change to zero, so that s * 1/sqrt(s) result is zero too.
+ const uint32x4_t pos_inf = vdupq_n_u32(0x7F800000);
+ const uint32x4_t div_by_zero =
+ vceqq_u32(pos_inf, vreinterpretq_u32_f32(recip));
+ recip = vreinterpretq_f32_u32(
+ vandq_u32(vmvnq_u32(div_by_zero), vreinterpretq_u32_f32(recip)));
+
+ // Additional Netwon-Raphson iteration for accuracy
+ recip = vmulq_f32(
+ vrsqrtsq_f32(vmulq_f32(recip, recip), vreinterpretq_f32_m128(in)),
+ recip);
+ recip = vmulq_f32(
+ vrsqrtsq_f32(vmulq_f32(recip, recip), vreinterpretq_f32_m128(in)),
+ recip);
+
+ // sqrt(s) = s * 1/sqrt(s)
+ return vreinterpretq_m128_f32(vmulq_f32(vreinterpretq_f32_m128(in), recip));
+#elif defined(__aarch64__)
+ return vreinterpretq_m128_f32(vsqrtq_f32(vreinterpretq_f32_m128(in)));
+#else
+ float32x4_t recipsq = vrsqrteq_f32(vreinterpretq_f32_m128(in));
+ float32x4_t sq = vrecpeq_f32(recipsq);
+ return vreinterpretq_m128_f32(sq);
+#endif
+}
+
+// Computes the approximation of the square root of the scalar single-precision
+// floating point value of in.
+// https://msdn.microsoft.com/en-us/library/ahfsc22d(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_sqrt_ss(__m128 in)
+{
+ float32_t value =
+ vgetq_lane_f32(vreinterpretq_f32_m128(_mm_sqrt_ps(in)), 0);
+ return vreinterpretq_m128_f32(
+ vsetq_lane_f32(value, vreinterpretq_f32_m128(in), 0));
+}
+
+// Computes the approximations of the reciprocal square roots of the four
+// single-precision floating point values of in.
+// https://msdn.microsoft.com/en-us/library/22hfsh53(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_rsqrt_ps(__m128 in)
+{
+ float32x4_t out = vrsqrteq_f32(vreinterpretq_f32_m128(in));
+#if SSE2NEON_PRECISE_RSQRT
+ // Additional Netwon-Raphson iteration for accuracy
+ out = vmulq_f32(
+ out, vrsqrtsq_f32(vmulq_f32(vreinterpretq_f32_m128(in), out), out));
+ out = vmulq_f32(
+ out, vrsqrtsq_f32(vmulq_f32(vreinterpretq_f32_m128(in), out), out));
+#endif
+ return vreinterpretq_m128_f32(out);
+}
+
+// Compute the approximate reciprocal square root of the lower single-precision
+// (32-bit) floating-point element in a, store the result in the lower element
+// of dst, and copy the upper 3 packed elements from a to the upper elements of
+// dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_rsqrt_ss
+FORCE_INLINE __m128 _mm_rsqrt_ss(__m128 in)
+{
+ return vsetq_lane_f32(vgetq_lane_f32(_mm_rsqrt_ps(in), 0), in, 0);
+}
+
+// Compare packed signed 16-bit integers in a and b, and store packed maximum
+// values in dst.
+//
+// FOR j := 0 to 3
+// i := j*16
+// dst[i+15:i] := MAX(a[i+15:i], b[i+15:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_max_pi16
+FORCE_INLINE __m64 _mm_max_pi16(__m64 a, __m64 b)
+{
+ return vreinterpret_m64_s16(
+ vmax_s16(vreinterpret_s16_m64(a), vreinterpret_s16_m64(b)));
+}
+
+// Compare packed signed 16-bit integers in a and b, and store packed maximum
+// values in dst.
+//
+// FOR j := 0 to 3
+// i := j*16
+// dst[i+15:i] := MAX(a[i+15:i], b[i+15:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_max_pi16
+#define _m_pmaxsw(a, b) _mm_max_pi16(a, b)
+
+// Computes the maximums of the four single-precision, floating-point values of
+// a and b.
+// https://msdn.microsoft.com/en-us/library/vstudio/ff5d607a(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_max_ps(__m128 a, __m128 b)
+{
+#if SSE2NEON_PRECISE_MINMAX
+ float32x4_t _a = vreinterpretq_f32_m128(a);
+ float32x4_t _b = vreinterpretq_f32_m128(b);
+ return vbslq_f32(vcltq_f32(_b, _a), _a, _b);
+#else
+ return vreinterpretq_m128_f32(
+ vmaxq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+#endif
+}
+
+// Compare packed unsigned 8-bit integers in a and b, and store packed maximum
+// values in dst.
+//
+// FOR j := 0 to 7
+// i := j*8
+// dst[i+7:i] := MAX(a[i+7:i], b[i+7:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_max_pu8
+FORCE_INLINE __m64 _mm_max_pu8(__m64 a, __m64 b)
+{
+ return vreinterpret_m64_u8(
+ vmax_u8(vreinterpret_u8_m64(a), vreinterpret_u8_m64(b)));
+}
+
+// Compare packed unsigned 8-bit integers in a and b, and store packed maximum
+// values in dst.
+//
+// FOR j := 0 to 7
+// i := j*8
+// dst[i+7:i] := MAX(a[i+7:i], b[i+7:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_max_pu8
+#define _m_pmaxub(a, b) _mm_max_pu8(a, b)
+
+// Compare packed signed 16-bit integers in a and b, and store packed minimum
+// values in dst.
+//
+// FOR j := 0 to 3
+// i := j*16
+// dst[i+15:i] := MIN(a[i+15:i], b[i+15:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_min_pi16
+FORCE_INLINE __m64 _mm_min_pi16(__m64 a, __m64 b)
+{
+ return vreinterpret_m64_s16(
+ vmin_s16(vreinterpret_s16_m64(a), vreinterpret_s16_m64(b)));
+}
+
+// Compare packed signed 16-bit integers in a and b, and store packed minimum
+// values in dst.
+//
+// FOR j := 0 to 3
+// i := j*16
+// dst[i+15:i] := MIN(a[i+15:i], b[i+15:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_min_pi16
+#define _m_pminsw(a, b) _mm_min_pi16(a, b)
+
+// Computes the minima of the four single-precision, floating-point values of a
+// and b.
+// https://msdn.microsoft.com/en-us/library/vstudio/wh13kadz(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_min_ps(__m128 a, __m128 b)
+{
+#if SSE2NEON_PRECISE_MINMAX
+ float32x4_t _a = vreinterpretq_f32_m128(a);
+ float32x4_t _b = vreinterpretq_f32_m128(b);
+ return vbslq_f32(vcltq_f32(_a, _b), _a, _b);
+#else
+ return vreinterpretq_m128_f32(
+ vminq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+#endif
+}
+
+// Compare packed unsigned 8-bit integers in a and b, and store packed minimum
+// values in dst.
+//
+// FOR j := 0 to 7
+// i := j*8
+// dst[i+7:i] := MIN(a[i+7:i], b[i+7:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_min_pu8
+FORCE_INLINE __m64 _mm_min_pu8(__m64 a, __m64 b)
+{
+ return vreinterpret_m64_u8(
+ vmin_u8(vreinterpret_u8_m64(a), vreinterpret_u8_m64(b)));
+}
+
+// Compare packed unsigned 8-bit integers in a and b, and store packed minimum
+// values in dst.
+//
+// FOR j := 0 to 7
+// i := j*8
+// dst[i+7:i] := MIN(a[i+7:i], b[i+7:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_min_pu8
+#define _m_pminub(a, b) _mm_min_pu8(a, b)
+
+// Computes the maximum of the two lower scalar single-precision floating point
+// values of a and b.
+// https://msdn.microsoft.com/en-us/library/s6db5esz(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_max_ss(__m128 a, __m128 b)
+{
+ float32_t value = vgetq_lane_f32(_mm_max_ps(a, b), 0);
+ return vreinterpretq_m128_f32(
+ vsetq_lane_f32(value, vreinterpretq_f32_m128(a), 0));
+}
+
+// Computes the minimum of the two lower scalar single-precision floating point
+// values of a and b.
+// https://msdn.microsoft.com/en-us/library/0a9y7xaa(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_min_ss(__m128 a, __m128 b)
+{
+ float32_t value = vgetq_lane_f32(_mm_min_ps(a, b), 0);
+ return vreinterpretq_m128_f32(
+ vsetq_lane_f32(value, vreinterpretq_f32_m128(a), 0));
+}
+
+// Computes the pairwise maxima of the 16 unsigned 8-bit integers from a and the
+// 16 unsigned 8-bit integers from b.
+// https://msdn.microsoft.com/en-us/library/st6634za(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_max_epu8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u8(
+ vmaxq_u8(vreinterpretq_u8_m128i(a), vreinterpretq_u8_m128i(b)));
+}
+
+// Computes the pairwise minima of the 16 unsigned 8-bit integers from a and the
+// 16 unsigned 8-bit integers from b.
+// https://msdn.microsoft.com/ko-kr/library/17k8cf58(v=vs.100).aspxx
+FORCE_INLINE __m128i _mm_min_epu8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u8(
+ vminq_u8(vreinterpretq_u8_m128i(a), vreinterpretq_u8_m128i(b)));
+}
+
+// Computes the pairwise minima of the 8 signed 16-bit integers from a and the 8
+// signed 16-bit integers from b.
+// https://msdn.microsoft.com/en-us/library/vstudio/6te997ew(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_min_epi16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s16(
+ vminq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Compare packed signed 8-bit integers in a and b, and store packed maximum
+// values in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_max_epi8
+FORCE_INLINE __m128i _mm_max_epi8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s8(
+ vmaxq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Compare packed unsigned 16-bit integers in a and b, and store packed maximum
+// values in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_max_epu16
+FORCE_INLINE __m128i _mm_max_epu16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u16(
+ vmaxq_u16(vreinterpretq_u16_m128i(a), vreinterpretq_u16_m128i(b)));
+}
+
+// Compare packed signed 8-bit integers in a and b, and store packed minimum
+// values in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_min_epi8
+FORCE_INLINE __m128i _mm_min_epi8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s8(
+ vminq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Compare packed unsigned 16-bit integers in a and b, and store packed minimum
+// values in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_min_epu16
+FORCE_INLINE __m128i _mm_min_epu16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u16(
+ vminq_u16(vreinterpretq_u16_m128i(a), vreinterpretq_u16_m128i(b)));
+}
+
+// Computes the pairwise maxima of the 8 signed 16-bit integers from a and the 8
+// signed 16-bit integers from b.
+// https://msdn.microsoft.com/en-us/LIBRary/3x060h7c(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_max_epi16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s16(
+ vmaxq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// epi versions of min/max
+// Computes the pariwise maximums of the four signed 32-bit integer values of a
+// and b.
+//
+// A 128-bit parameter that can be defined with the following equations:
+// r0 := (a0 > b0) ? a0 : b0
+// r1 := (a1 > b1) ? a1 : b1
+// r2 := (a2 > b2) ? a2 : b2
+// r3 := (a3 > b3) ? a3 : b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/bb514055(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_max_epi32(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s32(
+ vmaxq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Computes the pariwise minima of the four signed 32-bit integer values of a
+// and b.
+//
+// A 128-bit parameter that can be defined with the following equations:
+// r0 := (a0 < b0) ? a0 : b0
+// r1 := (a1 < b1) ? a1 : b1
+// r2 := (a2 < b2) ? a2 : b2
+// r3 := (a3 < b3) ? a3 : b3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/bb531476(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_min_epi32(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s32(
+ vminq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Compare packed unsigned 32-bit integers in a and b, and store packed maximum
+// values in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_max_epu32
+FORCE_INLINE __m128i _mm_max_epu32(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u32(
+ vmaxq_u32(vreinterpretq_u32_m128i(a), vreinterpretq_u32_m128i(b)));
+}
+
+// Compare packed unsigned 32-bit integers in a and b, and store packed minimum
+// values in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_max_epu32
+FORCE_INLINE __m128i _mm_min_epu32(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u32(
+ vminq_u32(vreinterpretq_u32_m128i(a), vreinterpretq_u32_m128i(b)));
+}
+
+// Multiply the packed unsigned 16-bit integers in a and b, producing
+// intermediate 32-bit integers, and store the high 16 bits of the intermediate
+// integers in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_mulhi_pu16
+FORCE_INLINE __m64 _mm_mulhi_pu16(__m64 a, __m64 b)
+{
+ return vreinterpret_m64_u16(vshrn_n_u32(
+ vmull_u16(vreinterpret_u16_m64(a), vreinterpret_u16_m64(b)), 16));
+}
+
+// Multiplies the 8 signed 16-bit integers from a by the 8 signed 16-bit
+// integers from b.
+//
+// r0 := (a0 * b0)[31:16]
+// r1 := (a1 * b1)[31:16]
+// ...
+// r7 := (a7 * b7)[31:16]
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/59hddw1d(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_mulhi_epi16(__m128i a, __m128i b)
+{
+ /* FIXME: issue with large values because of result saturation */
+ // int16x8_t ret = vqdmulhq_s16(vreinterpretq_s16_m128i(a),
+ // vreinterpretq_s16_m128i(b)); /* =2*a*b */ return
+ // vreinterpretq_m128i_s16(vshrq_n_s16(ret, 1));
+ int16x4_t a3210 = vget_low_s16(vreinterpretq_s16_m128i(a));
+ int16x4_t b3210 = vget_low_s16(vreinterpretq_s16_m128i(b));
+ int32x4_t ab3210 = vmull_s16(a3210, b3210); /* 3333222211110000 */
+ int16x4_t a7654 = vget_high_s16(vreinterpretq_s16_m128i(a));
+ int16x4_t b7654 = vget_high_s16(vreinterpretq_s16_m128i(b));
+ int32x4_t ab7654 = vmull_s16(a7654, b7654); /* 7777666655554444 */
+ uint16x8x2_t r =
+ vuzpq_u16(vreinterpretq_u16_s32(ab3210), vreinterpretq_u16_s32(ab7654));
+ return vreinterpretq_m128i_u16(r.val[1]);
+}
+
+// Multiply the packed unsigned 16-bit integers in a and b, producing
+// intermediate 32-bit integers, and store the high 16 bits of the intermediate
+// integers in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_mulhi_epu16
+FORCE_INLINE __m128i _mm_mulhi_epu16(__m128i a, __m128i b)
+{
+ uint16x4_t a3210 = vget_low_u16(vreinterpretq_u16_m128i(a));
+ uint16x4_t b3210 = vget_low_u16(vreinterpretq_u16_m128i(b));
+ uint32x4_t ab3210 = vmull_u16(a3210, b3210);
+#if defined(__aarch64__)
+ uint32x4_t ab7654 =
+ vmull_high_u16(vreinterpretq_u16_m128i(a), vreinterpretq_u16_m128i(b));
+ uint16x8_t r = vuzp2q_u16(vreinterpretq_u16_u32(ab3210),
+ vreinterpretq_u16_u32(ab7654));
+ return vreinterpretq_m128i_u16(r);
+#else
+ uint16x4_t a7654 = vget_high_u16(vreinterpretq_u16_m128i(a));
+ uint16x4_t b7654 = vget_high_u16(vreinterpretq_u16_m128i(b));
+ uint32x4_t ab7654 = vmull_u16(a7654, b7654);
+ uint16x8x2_t r =
+ vuzpq_u16(vreinterpretq_u16_u32(ab3210), vreinterpretq_u16_u32(ab7654));
+ return vreinterpretq_m128i_u16(r.val[1]);
+#endif
+}
+
+// Computes pairwise add of each argument as single-precision, floating-point
+// values a and b.
+// https://msdn.microsoft.com/en-us/library/yd9wecaa.aspx
+FORCE_INLINE __m128 _mm_hadd_ps(__m128 a, __m128 b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128_f32(
+ vpaddq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+#else
+ float32x2_t a10 = vget_low_f32(vreinterpretq_f32_m128(a));
+ float32x2_t a32 = vget_high_f32(vreinterpretq_f32_m128(a));
+ float32x2_t b10 = vget_low_f32(vreinterpretq_f32_m128(b));
+ float32x2_t b32 = vget_high_f32(vreinterpretq_f32_m128(b));
+ return vreinterpretq_m128_f32(
+ vcombine_f32(vpadd_f32(a10, a32), vpadd_f32(b10, b32)));
+#endif
+}
+
+// Computes pairwise add of each argument as a 16-bit signed or unsigned integer
+// values a and b.
+FORCE_INLINE __m128i _mm_hadd_epi16(__m128i _a, __m128i _b)
+{
+ int16x8_t a = vreinterpretq_s16_m128i(_a);
+ int16x8_t b = vreinterpretq_s16_m128i(_b);
+#if defined(__aarch64__)
+ return vreinterpretq_m128i_s16(vpaddq_s16(a, b));
+#else
+ return vreinterpretq_m128i_s16(
+ vcombine_s16(vpadd_s16(vget_low_s16(a), vget_high_s16(a)),
+ vpadd_s16(vget_low_s16(b), vget_high_s16(b))));
+#endif
+}
+
+// Horizontally substract adjacent pairs of single-precision (32-bit)
+// floating-point elements in a and b, and pack the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_hsub_ps
+FORCE_INLINE __m128 _mm_hsub_ps(__m128 _a, __m128 _b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128_f32(vsubq_f32(
+ vuzp1q_f32(vreinterpretq_f32_m128(_a), vreinterpretq_f32_m128(_b)),
+ vuzp2q_f32(vreinterpretq_f32_m128(_a), vreinterpretq_f32_m128(_b))));
+#else
+ float32x4x2_t c =
+ vuzpq_f32(vreinterpretq_f32_m128(_a), vreinterpretq_f32_m128(_b));
+ return vreinterpretq_m128_f32(vsubq_f32(c.val[0], c.val[1]));
+#endif
+}
+
+// Horizontally add adjacent pairs of 16-bit integers in a and b, and pack the
+// signed 16-bit results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_hadd_pi16
+FORCE_INLINE __m64 _mm_hadd_pi16(__m64 a, __m64 b)
+{
+ return vreinterpret_m64_s16(
+ vpadd_s16(vreinterpret_s16_m64(a), vreinterpret_s16_m64(b)));
+}
+
+// Horizontally add adjacent pairs of 32-bit integers in a and b, and pack the
+// signed 32-bit results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_hadd_pi32
+FORCE_INLINE __m64 _mm_hadd_pi32(__m64 a, __m64 b)
+{
+ return vreinterpret_m64_s32(
+ vpadd_s32(vreinterpret_s32_m64(a), vreinterpret_s32_m64(b)));
+}
+
+// Computes pairwise difference of each argument as a 16-bit signed or unsigned
+// integer values a and b.
+FORCE_INLINE __m128i _mm_hsub_epi16(__m128i _a, __m128i _b)
+{
+ int32x4_t a = vreinterpretq_s32_m128i(_a);
+ int32x4_t b = vreinterpretq_s32_m128i(_b);
+ // Interleave using vshrn/vmovn
+ // [a0|a2|a4|a6|b0|b2|b4|b6]
+ // [a1|a3|a5|a7|b1|b3|b5|b7]
+ int16x8_t ab0246 = vcombine_s16(vmovn_s32(a), vmovn_s32(b));
+ int16x8_t ab1357 = vcombine_s16(vshrn_n_s32(a, 16), vshrn_n_s32(b, 16));
+ // Subtract
+ return vreinterpretq_m128i_s16(vsubq_s16(ab0246, ab1357));
+}
+
+// Computes saturated pairwise sub of each argument as a 16-bit signed
+// integer values a and b.
+FORCE_INLINE __m128i _mm_hadds_epi16(__m128i _a, __m128i _b)
+{
+#if defined(__aarch64__)
+ int16x8_t a = vreinterpretq_s16_m128i(_a);
+ int16x8_t b = vreinterpretq_s16_m128i(_b);
+ return vreinterpretq_s64_s16(
+ vqaddq_s16(vuzp1q_s16(a, b), vuzp2q_s16(a, b)));
+#else
+ int32x4_t a = vreinterpretq_s32_m128i(_a);
+ int32x4_t b = vreinterpretq_s32_m128i(_b);
+ // Interleave using vshrn/vmovn
+ // [a0|a2|a4|a6|b0|b2|b4|b6]
+ // [a1|a3|a5|a7|b1|b3|b5|b7]
+ int16x8_t ab0246 = vcombine_s16(vmovn_s32(a), vmovn_s32(b));
+ int16x8_t ab1357 = vcombine_s16(vshrn_n_s32(a, 16), vshrn_n_s32(b, 16));
+ // Saturated add
+ return vreinterpretq_m128i_s16(vqaddq_s16(ab0246, ab1357));
+#endif
+}
+
+// Computes saturated pairwise difference of each argument as a 16-bit signed
+// integer values a and b.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_hsubs_epi16
+FORCE_INLINE __m128i _mm_hsubs_epi16(__m128i _a, __m128i _b)
+{
+#if defined(__aarch64__)
+ int16x8_t a = vreinterpretq_s16_m128i(_a);
+ int16x8_t b = vreinterpretq_s16_m128i(_b);
+ return vreinterpretq_s64_s16(
+ vqsubq_s16(vuzp1q_s16(a, b), vuzp2q_s16(a, b)));
+#else
+ int32x4_t a = vreinterpretq_s32_m128i(_a);
+ int32x4_t b = vreinterpretq_s32_m128i(_b);
+ // Interleave using vshrn/vmovn
+ // [a0|a2|a4|a6|b0|b2|b4|b6]
+ // [a1|a3|a5|a7|b1|b3|b5|b7]
+ int16x8_t ab0246 = vcombine_s16(vmovn_s32(a), vmovn_s32(b));
+ int16x8_t ab1357 = vcombine_s16(vshrn_n_s32(a, 16), vshrn_n_s32(b, 16));
+ // Saturated subtract
+ return vreinterpretq_m128i_s16(vqsubq_s16(ab0246, ab1357));
+#endif
+}
+
+// Computes pairwise add of each argument as a 32-bit signed or unsigned integer
+// values a and b.
+FORCE_INLINE __m128i _mm_hadd_epi32(__m128i _a, __m128i _b)
+{
+ int32x4_t a = vreinterpretq_s32_m128i(_a);
+ int32x4_t b = vreinterpretq_s32_m128i(_b);
+ return vreinterpretq_m128i_s32(
+ vcombine_s32(vpadd_s32(vget_low_s32(a), vget_high_s32(a)),
+ vpadd_s32(vget_low_s32(b), vget_high_s32(b))));
+}
+
+// Computes pairwise difference of each argument as a 32-bit signed or unsigned
+// integer values a and b.
+FORCE_INLINE __m128i _mm_hsub_epi32(__m128i _a, __m128i _b)
+{
+ int64x2_t a = vreinterpretq_s64_m128i(_a);
+ int64x2_t b = vreinterpretq_s64_m128i(_b);
+ // Interleave using vshrn/vmovn
+ // [a0|a2|b0|b2]
+ // [a1|a2|b1|b3]
+ int32x4_t ab02 = vcombine_s32(vmovn_s64(a), vmovn_s64(b));
+ int32x4_t ab13 = vcombine_s32(vshrn_n_s64(a, 32), vshrn_n_s64(b, 32));
+ // Subtract
+ return vreinterpretq_m128i_s32(vsubq_s32(ab02, ab13));
+}
+
+// Kahan summation for accurate summation of floating-point numbers.
+// http://blog.zachbjornson.com/2019/08/11/fast-float-summation.html
+FORCE_INLINE void _sse2neon_kadd_f32(float *sum, float *c, float y)
+{
+ y -= *c;
+ float t = *sum + y;
+ *c = (t - *sum) - y;
+ *sum = t;
+}
+
+// Conditionally multiply the packed single-precision (32-bit) floating-point
+// elements in a and b using the high 4 bits in imm8, sum the four products,
+// and conditionally store the sum in dst using the low 4 bits of imm.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_dp_ps
+FORCE_INLINE __m128 _mm_dp_ps(__m128 a, __m128 b, const int imm)
+{
+#if defined(__aarch64__)
+ /* shortcuts */
+ if (imm == 0xFF) {
+ return _mm_set1_ps(vaddvq_f32(_mm_mul_ps(a, b)));
+ }
+ if (imm == 0x7F) {
+ float32x4_t m = _mm_mul_ps(a, b);
+ m[3] = 0;
+ return _mm_set1_ps(vaddvq_f32(m));
+ }
+#endif
+
+ float s = 0, c = 0;
+ float32x4_t f32a = vreinterpretq_f32_m128(a);
+ float32x4_t f32b = vreinterpretq_f32_m128(b);
+
+ /* To improve the accuracy of floating-point summation, Kahan algorithm
+ * is used for each operation.
+ */
+ if (imm & (1 << 4))
+ _sse2neon_kadd_f32(&s, &c, f32a[0] * f32b[0]);
+ if (imm & (1 << 5))
+ _sse2neon_kadd_f32(&s, &c, f32a[1] * f32b[1]);
+ if (imm & (1 << 6))
+ _sse2neon_kadd_f32(&s, &c, f32a[2] * f32b[2]);
+ if (imm & (1 << 7))
+ _sse2neon_kadd_f32(&s, &c, f32a[3] * f32b[3]);
+ s += c;
+
+ float32x4_t res = {
+ (imm & 0x1) ? s : 0,
+ (imm & 0x2) ? s : 0,
+ (imm & 0x4) ? s : 0,
+ (imm & 0x8) ? s : 0,
+ };
+ return vreinterpretq_m128_f32(res);
+}
+
+/* Compare operations */
+
+// Compares for less than
+// https://msdn.microsoft.com/en-us/library/vstudio/f330yhc8(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cmplt_ps(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_u32(
+ vcltq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Compares for less than
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/fy94wye7(v=vs.100)
+FORCE_INLINE __m128 _mm_cmplt_ss(__m128 a, __m128 b)
+{
+ return _mm_move_ss(a, _mm_cmplt_ps(a, b));
+}
+
+// Compares for greater than.
+//
+// r0 := (a0 > b0) ? 0xffffffff : 0x0
+// r1 := (a1 > b1) ? 0xffffffff : 0x0
+// r2 := (a2 > b2) ? 0xffffffff : 0x0
+// r3 := (a3 > b3) ? 0xffffffff : 0x0
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/11dy102s(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cmpgt_ps(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_u32(
+ vcgtq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Compares for greater than.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/1xyyyy9e(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpgt_ss(__m128 a, __m128 b)
+{
+ return _mm_move_ss(a, _mm_cmpgt_ps(a, b));
+}
+
+// Compares for greater than or equal.
+// https://msdn.microsoft.com/en-us/library/vstudio/fs813y2t(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cmpge_ps(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_u32(
+ vcgeq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Compares for greater than or equal.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/kesh3ddc(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpge_ss(__m128 a, __m128 b)
+{
+ return _mm_move_ss(a, _mm_cmpge_ps(a, b));
+}
+
+// Compares for less than or equal.
+//
+// r0 := (a0 <= b0) ? 0xffffffff : 0x0
+// r1 := (a1 <= b1) ? 0xffffffff : 0x0
+// r2 := (a2 <= b2) ? 0xffffffff : 0x0
+// r3 := (a3 <= b3) ? 0xffffffff : 0x0
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/1s75w83z(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cmple_ps(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_u32(
+ vcleq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Compares for less than or equal.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/a7x0hbhw(v=vs.100)
+FORCE_INLINE __m128 _mm_cmple_ss(__m128 a, __m128 b)
+{
+ return _mm_move_ss(a, _mm_cmple_ps(a, b));
+}
+
+// Compares for equality.
+// https://msdn.microsoft.com/en-us/library/vstudio/36aectz5(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cmpeq_ps(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_u32(
+ vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+}
+
+// Compares for equality.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/k423z28e(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpeq_ss(__m128 a, __m128 b)
+{
+ return _mm_move_ss(a, _mm_cmpeq_ps(a, b));
+}
+
+// Compares for inequality.
+// https://msdn.microsoft.com/en-us/library/sf44thbx(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cmpneq_ps(__m128 a, __m128 b)
+{
+ return vreinterpretq_m128_u32(vmvnq_u32(
+ vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b))));
+}
+
+// Compares for inequality.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/ekya8fh4(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpneq_ss(__m128 a, __m128 b)
+{
+ return _mm_move_ss(a, _mm_cmpneq_ps(a, b));
+}
+
+// Compares for not greater than or equal.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/wsexys62(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpnge_ps(__m128 a, __m128 b)
+{
+ return _mm_cmplt_ps(a, b);
+}
+
+// Compares for not greater than or equal.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/fk2y80s8(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpnge_ss(__m128 a, __m128 b)
+{
+ return _mm_cmplt_ss(a, b);
+}
+
+// Compares for not greater than.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/d0xh7w0s(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpngt_ps(__m128 a, __m128 b)
+{
+ return _mm_cmple_ps(a, b);
+}
+
+// Compares for not greater than.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/z7x9ydwh(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpngt_ss(__m128 a, __m128 b)
+{
+ return _mm_cmple_ss(a, b);
+}
+
+// Compares for not less than or equal.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/6a330kxw(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpnle_ps(__m128 a, __m128 b)
+{
+ return _mm_cmpgt_ps(a, b);
+}
+
+// Compares for not less than or equal.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/z7x9ydwh(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpnle_ss(__m128 a, __m128 b)
+{
+ return _mm_cmpgt_ss(a, b);
+}
+
+// Compares for not less than.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/4686bbdw(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpnlt_ps(__m128 a, __m128 b)
+{
+ return _mm_cmpge_ps(a, b);
+}
+
+// Compares for not less than.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/56b9z2wf(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpnlt_ss(__m128 a, __m128 b)
+{
+ return _mm_cmpge_ss(a, b);
+}
+
+// Compares the 16 signed or unsigned 8-bit integers in a and the 16 signed or
+// unsigned 8-bit integers in b for equality.
+// https://msdn.microsoft.com/en-us/library/windows/desktop/bz5xk21a(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_cmpeq_epi8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u8(
+ vceqq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Compare packed double-precision (64-bit) floating-point elements in a and b
+// for equality, and store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cmpeq_pd
+FORCE_INLINE __m128d _mm_cmpeq_pd(__m128d a, __m128d b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_u64(
+ vceqq_f64(vreinterpretq_f64_m128d(a), vreinterpretq_f64_m128d(b)));
+#else
+ // (a == b) -> (a_lo == b_lo) && (a_hi == b_hi)
+ uint32x4_t cmp =
+ vceqq_u32(vreinterpretq_u32_m128d(a), vreinterpretq_u32_m128d(b));
+ uint32x4_t swapped = vrev64q_u32(cmp);
+ return vreinterpretq_m128d_u32(vandq_u32(cmp, swapped));
+#endif
+}
+
+// Compares the 8 signed or unsigned 16-bit integers in a and the 8 signed or
+// unsigned 16-bit integers in b for equality.
+// https://msdn.microsoft.com/en-us/library/2ay060te(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_cmpeq_epi16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u16(
+ vceqq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Compare packed 32-bit integers in a and b for equality, and store the results
+// in dst
+FORCE_INLINE __m128i _mm_cmpeq_epi32(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u32(
+ vceqq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Compare packed 64-bit integers in a and b for equality, and store the results
+// in dst
+FORCE_INLINE __m128i _mm_cmpeq_epi64(__m128i a, __m128i b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128i_u64(
+ vceqq_u64(vreinterpretq_u64_m128i(a), vreinterpretq_u64_m128i(b)));
+#else
+ // ARMv7 lacks vceqq_u64
+ // (a == b) -> (a_lo == b_lo) && (a_hi == b_hi)
+ uint32x4_t cmp =
+ vceqq_u32(vreinterpretq_u32_m128i(a), vreinterpretq_u32_m128i(b));
+ uint32x4_t swapped = vrev64q_u32(cmp);
+ return vreinterpretq_m128i_u32(vandq_u32(cmp, swapped));
+#endif
+}
+
+// Compares the 16 signed 8-bit integers in a and the 16 signed 8-bit integers
+// in b for lesser than.
+// https://msdn.microsoft.com/en-us/library/windows/desktop/9s46csht(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_cmplt_epi8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u8(
+ vcltq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Compares the 16 signed 8-bit integers in a and the 16 signed 8-bit integers
+// in b for greater than.
+//
+// r0 := (a0 > b0) ? 0xff : 0x0
+// r1 := (a1 > b1) ? 0xff : 0x0
+// ...
+// r15 := (a15 > b15) ? 0xff : 0x0
+//
+// https://msdn.microsoft.com/zh-tw/library/wf45zt2b(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_cmpgt_epi8(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u8(
+ vcgtq_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+}
+
+// Compares the 8 signed 16-bit integers in a and the 8 signed 16-bit integers
+// in b for less than.
+//
+// r0 := (a0 < b0) ? 0xffff : 0x0
+// r1 := (a1 < b1) ? 0xffff : 0x0
+// ...
+// r7 := (a7 < b7) ? 0xffff : 0x0
+//
+// https://technet.microsoft.com/en-us/library/t863edb2(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_cmplt_epi16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u16(
+ vcltq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+// Compares the 8 signed 16-bit integers in a and the 8 signed 16-bit integers
+// in b for greater than.
+//
+// r0 := (a0 > b0) ? 0xffff : 0x0
+// r1 := (a1 > b1) ? 0xffff : 0x0
+// ...
+// r7 := (a7 > b7) ? 0xffff : 0x0
+//
+// https://technet.microsoft.com/en-us/library/xd43yfsa(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_cmpgt_epi16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u16(
+ vcgtq_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+}
+
+
+// Compares the 4 signed 32-bit integers in a and the 4 signed 32-bit integers
+// in b for less than.
+// https://msdn.microsoft.com/en-us/library/vstudio/4ak0bf5d(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_cmplt_epi32(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u32(
+ vcltq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Compares the 4 signed 32-bit integers in a and the 4 signed 32-bit integers
+// in b for greater than.
+// https://msdn.microsoft.com/en-us/library/vstudio/1s9f2z0y(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_cmpgt_epi32(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u32(
+ vcgtq_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+}
+
+// Compares the 2 signed 64-bit integers in a and the 2 signed 64-bit integers
+// in b for greater than.
+FORCE_INLINE __m128i _mm_cmpgt_epi64(__m128i a, __m128i b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128i_u64(
+ vcgtq_s64(vreinterpretq_s64_m128i(a), vreinterpretq_s64_m128i(b)));
+#else
+ // ARMv7 lacks vcgtq_s64.
+ // This is based off of Clang's SSE2 polyfill:
+ // (a > b) -> ((a_hi > b_hi) || (a_lo > b_lo && a_hi == b_hi))
+
+ // Mask the sign bit out since we need a signed AND an unsigned comparison
+ // and it is ugly to try and split them.
+ int32x4_t mask = vreinterpretq_s32_s64(vdupq_n_s64(0x80000000ull));
+ int32x4_t a_mask = veorq_s32(vreinterpretq_s32_m128i(a), mask);
+ int32x4_t b_mask = veorq_s32(vreinterpretq_s32_m128i(b), mask);
+ // Check if a > b
+ int64x2_t greater = vreinterpretq_s64_u32(vcgtq_s32(a_mask, b_mask));
+ // Copy upper mask to lower mask
+ // a_hi > b_hi
+ int64x2_t gt_hi = vshrq_n_s64(greater, 63);
+ // Copy lower mask to upper mask
+ // a_lo > b_lo
+ int64x2_t gt_lo = vsliq_n_s64(greater, greater, 32);
+ // Compare for equality
+ int64x2_t equal = vreinterpretq_s64_u32(vceqq_s32(a_mask, b_mask));
+ // Copy upper mask to lower mask
+ // a_hi == b_hi
+ int64x2_t eq_hi = vshrq_n_s64(equal, 63);
+ // a_hi > b_hi || (a_lo > b_lo && a_hi == b_hi)
+ int64x2_t ret = vorrq_s64(gt_hi, vandq_s64(gt_lo, eq_hi));
+ return vreinterpretq_m128i_s64(ret);
+#endif
+}
+
+// Compares the four 32-bit floats in a and b to check if any values are NaN.
+// Ordered compare between each value returns true for "orderable" and false for
+// "not orderable" (NaN).
+// https://msdn.microsoft.com/en-us/library/vstudio/0h9w00fx(v=vs.100).aspx see
+// also:
+// http://stackoverflow.com/questions/8627331/what-does-ordered-unordered-comparison-mean
+// http://stackoverflow.com/questions/29349621/neon-isnanval-intrinsics
+FORCE_INLINE __m128 _mm_cmpord_ps(__m128 a, __m128 b)
+{
+ // Note: NEON does not have ordered compare builtin
+ // Need to compare a eq a and b eq b to check for NaN
+ // Do AND of results to get final
+ uint32x4_t ceqaa =
+ vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+ uint32x4_t ceqbb =
+ vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+ return vreinterpretq_m128_u32(vandq_u32(ceqaa, ceqbb));
+}
+
+// Compares for ordered.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/343t62da(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpord_ss(__m128 a, __m128 b)
+{
+ return _mm_move_ss(a, _mm_cmpord_ps(a, b));
+}
+
+// Compares for unordered.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/khy6fk1t(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpunord_ps(__m128 a, __m128 b)
+{
+ uint32x4_t f32a =
+ vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+ uint32x4_t f32b =
+ vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+ return vreinterpretq_m128_u32(vmvnq_u32(vandq_u32(f32a, f32b)));
+}
+
+// Compares for unordered.
+// https://docs.microsoft.com/en-us/previous-versions/visualstudio/visual-studio-2010/2as2387b(v=vs.100)
+FORCE_INLINE __m128 _mm_cmpunord_ss(__m128 a, __m128 b)
+{
+ return _mm_move_ss(a, _mm_cmpunord_ps(a, b));
+}
+
+// Compares the lower single-precision floating point scalar values of a and b
+// using a less than operation. :
+// https://msdn.microsoft.com/en-us/library/2kwe606b(v=vs.90).aspx Important
+// note!! The documentation on MSDN is incorrect! If either of the values is a
+// NAN the docs say you will get a one, but in fact, it will return a zero!!
+FORCE_INLINE int _mm_comilt_ss(__m128 a, __m128 b)
+{
+ uint32x4_t a_not_nan =
+ vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+ uint32x4_t b_not_nan =
+ vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+ uint32x4_t a_and_b_not_nan = vandq_u32(a_not_nan, b_not_nan);
+ uint32x4_t a_lt_b =
+ vcltq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b));
+ return (vgetq_lane_u32(vandq_u32(a_and_b_not_nan, a_lt_b), 0) != 0) ? 1 : 0;
+}
+
+// Compares the lower single-precision floating point scalar values of a and b
+// using a greater than operation. :
+// https://msdn.microsoft.com/en-us/library/b0738e0t(v=vs.100).aspx
+FORCE_INLINE int _mm_comigt_ss(__m128 a, __m128 b)
+{
+ // return vgetq_lane_u32(vcgtq_f32(vreinterpretq_f32_m128(a),
+ // vreinterpretq_f32_m128(b)), 0);
+ uint32x4_t a_not_nan =
+ vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+ uint32x4_t b_not_nan =
+ vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+ uint32x4_t a_and_b_not_nan = vandq_u32(a_not_nan, b_not_nan);
+ uint32x4_t a_gt_b =
+ vcgtq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b));
+ return (vgetq_lane_u32(vandq_u32(a_and_b_not_nan, a_gt_b), 0) != 0) ? 1 : 0;
+}
+
+// Compares the lower single-precision floating point scalar values of a and b
+// using a less than or equal operation. :
+// https://msdn.microsoft.com/en-us/library/1w4t7c57(v=vs.90).aspx
+FORCE_INLINE int _mm_comile_ss(__m128 a, __m128 b)
+{
+ // return vgetq_lane_u32(vcleq_f32(vreinterpretq_f32_m128(a),
+ // vreinterpretq_f32_m128(b)), 0);
+ uint32x4_t a_not_nan =
+ vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+ uint32x4_t b_not_nan =
+ vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+ uint32x4_t a_and_b_not_nan = vandq_u32(a_not_nan, b_not_nan);
+ uint32x4_t a_le_b =
+ vcleq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b));
+ return (vgetq_lane_u32(vandq_u32(a_and_b_not_nan, a_le_b), 0) != 0) ? 1 : 0;
+}
+
+// Compares the lower single-precision floating point scalar values of a and b
+// using a greater than or equal operation. :
+// https://msdn.microsoft.com/en-us/library/8t80des6(v=vs.100).aspx
+FORCE_INLINE int _mm_comige_ss(__m128 a, __m128 b)
+{
+ // return vgetq_lane_u32(vcgeq_f32(vreinterpretq_f32_m128(a),
+ // vreinterpretq_f32_m128(b)), 0);
+ uint32x4_t a_not_nan =
+ vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+ uint32x4_t b_not_nan =
+ vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+ uint32x4_t a_and_b_not_nan = vandq_u32(a_not_nan, b_not_nan);
+ uint32x4_t a_ge_b =
+ vcgeq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b));
+ return (vgetq_lane_u32(vandq_u32(a_and_b_not_nan, a_ge_b), 0) != 0) ? 1 : 0;
+}
+
+// Compares the lower single-precision floating point scalar values of a and b
+// using an equality operation. :
+// https://msdn.microsoft.com/en-us/library/93yx2h2b(v=vs.100).aspx
+FORCE_INLINE int _mm_comieq_ss(__m128 a, __m128 b)
+{
+ // return vgetq_lane_u32(vceqq_f32(vreinterpretq_f32_m128(a),
+ // vreinterpretq_f32_m128(b)), 0);
+ uint32x4_t a_not_nan =
+ vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+ uint32x4_t b_not_nan =
+ vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+ uint32x4_t a_and_b_not_nan = vandq_u32(a_not_nan, b_not_nan);
+ uint32x4_t a_eq_b =
+ vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b));
+ return (vgetq_lane_u32(vandq_u32(a_and_b_not_nan, a_eq_b), 0) != 0) ? 1 : 0;
+}
+
+// Compares the lower single-precision floating point scalar values of a and b
+// using an inequality operation. :
+// https://msdn.microsoft.com/en-us/library/bafh5e0a(v=vs.90).aspx
+FORCE_INLINE int _mm_comineq_ss(__m128 a, __m128 b)
+{
+ // return !vgetq_lane_u32(vceqq_f32(vreinterpretq_f32_m128(a),
+ // vreinterpretq_f32_m128(b)), 0);
+ uint32x4_t a_not_nan =
+ vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(a));
+ uint32x4_t b_not_nan =
+ vceqq_f32(vreinterpretq_f32_m128(b), vreinterpretq_f32_m128(b));
+ uint32x4_t a_or_b_nan = vmvnq_u32(vandq_u32(a_not_nan, b_not_nan));
+ uint32x4_t a_neq_b = vmvnq_u32(
+ vceqq_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+ return (vgetq_lane_u32(vorrq_u32(a_or_b_nan, a_neq_b), 0) != 0) ? 1 : 0;
+}
+
+// according to the documentation, these intrinsics behave the same as the
+// non-'u' versions. We'll just alias them here.
+#define _mm_ucomieq_ss _mm_comieq_ss
+#define _mm_ucomige_ss _mm_comige_ss
+#define _mm_ucomigt_ss _mm_comigt_ss
+#define _mm_ucomile_ss _mm_comile_ss
+#define _mm_ucomilt_ss _mm_comilt_ss
+#define _mm_ucomineq_ss _mm_comineq_ss
+
+/* Conversions */
+
+// Convert packed signed 32-bit integers in b to packed single-precision
+// (32-bit) floating-point elements, store the results in the lower 2 elements
+// of dst, and copy the upper 2 packed elements from a to the upper elements of
+// dst.
+//
+// dst[31:0] := Convert_Int32_To_FP32(b[31:0])
+// dst[63:32] := Convert_Int32_To_FP32(b[63:32])
+// dst[95:64] := a[95:64]
+// dst[127:96] := a[127:96]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvt_pi2ps
+FORCE_INLINE __m128 _mm_cvt_pi2ps(__m128 a, __m64 b)
+{
+ return vreinterpretq_m128_f32(
+ vcombine_f32(vcvt_f32_s32(vreinterpret_s32_m64(b)),
+ vget_high_f32(vreinterpretq_f32_m128(a))));
+}
+
+// Convert the signed 32-bit integer b to a single-precision (32-bit)
+// floating-point element, store the result in the lower element of dst, and
+// copy the upper 3 packed elements from a to the upper elements of dst.
+//
+// dst[31:0] := Convert_Int32_To_FP32(b[31:0])
+// dst[127:32] := a[127:32]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvt_si2ss
+FORCE_INLINE __m128 _mm_cvt_si2ss(__m128 a, int b)
+{
+ return vreinterpretq_m128_f32(
+ vsetq_lane_f32((float) b, vreinterpretq_f32_m128(a), 0));
+}
+
+// Convert the signed 32-bit integer b to a single-precision (32-bit)
+// floating-point element, store the result in the lower element of dst, and
+// copy the upper 3 packed elements from a to the upper elements of dst.
+//
+// dst[31:0] := Convert_Int32_To_FP32(b[31:0])
+// dst[127:32] := a[127:32]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtsi32_ss
+#define _mm_cvtsi32_ss(a, b) _mm_cvt_si2ss(a, b)
+
+// Convert the signed 64-bit integer b to a single-precision (32-bit)
+// floating-point element, store the result in the lower element of dst, and
+// copy the upper 3 packed elements from a to the upper elements of dst.
+//
+// dst[31:0] := Convert_Int64_To_FP32(b[63:0])
+// dst[127:32] := a[127:32]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtsi64_ss
+FORCE_INLINE __m128 _mm_cvtsi64_ss(__m128 a, int64_t b)
+{
+ return vreinterpretq_m128_f32(
+ vsetq_lane_f32((float) b, vreinterpretq_f32_m128(a), 0));
+}
+
+// Convert the lower single-precision (32-bit) floating-point element in a to a
+// 32-bit integer, and store the result in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvt_ss2si
+FORCE_INLINE int _mm_cvt_ss2si(__m128 a)
+{
+#if defined(__aarch64__)
+ return vgetq_lane_s32(vcvtnq_s32_f32(vreinterpretq_f32_m128(a)), 0);
+#else
+ float32_t data = vgetq_lane_f32(vreinterpretq_f32_m128(a), 0);
+ float32_t diff = data - floor(data);
+ if (diff > 0.5)
+ return (int32_t) ceil(data);
+ if (unlikely(diff == 0.5)) {
+ int32_t f = (int32_t) floor(data);
+ int32_t c = (int32_t) ceil(data);
+ return c & 1 ? f : c;
+ }
+ return (int32_t) floor(data);
+#endif
+}
+
+// Convert packed 16-bit integers in a to packed single-precision (32-bit)
+// floating-point elements, and store the results in dst.
+//
+// FOR j := 0 to 3
+// i := j*16
+// m := j*32
+// dst[m+31:m] := Convert_Int16_To_FP32(a[i+15:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtpi16_ps
+FORCE_INLINE __m128 _mm_cvtpi16_ps(__m64 a)
+{
+ return vreinterpretq_m128_f32(
+ vcvtq_f32_s32(vmovl_s16(vreinterpret_s16_m64(a))));
+}
+
+// Convert packed 32-bit integers in b to packed single-precision (32-bit)
+// floating-point elements, store the results in the lower 2 elements of dst,
+// and copy the upper 2 packed elements from a to the upper elements of dst.
+//
+// dst[31:0] := Convert_Int32_To_FP32(b[31:0])
+// dst[63:32] := Convert_Int32_To_FP32(b[63:32])
+// dst[95:64] := a[95:64]
+// dst[127:96] := a[127:96]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtpi32_ps
+FORCE_INLINE __m128 _mm_cvtpi32_ps(__m128 a, __m64 b)
+{
+ return vreinterpretq_m128_f32(
+ vcombine_f32(vcvt_f32_s32(vreinterpret_s32_m64(b)),
+ vget_high_f32(vreinterpretq_f32_m128(a))));
+}
+
+// Convert packed signed 32-bit integers in a to packed single-precision
+// (32-bit) floating-point elements, store the results in the lower 2 elements
+// of dst, then covert the packed signed 32-bit integers in b to
+// single-precision (32-bit) floating-point element, and store the results in
+// the upper 2 elements of dst.
+//
+// dst[31:0] := Convert_Int32_To_FP32(a[31:0])
+// dst[63:32] := Convert_Int32_To_FP32(a[63:32])
+// dst[95:64] := Convert_Int32_To_FP32(b[31:0])
+// dst[127:96] := Convert_Int32_To_FP32(b[63:32])
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtpi32x2_ps
+FORCE_INLINE __m128 _mm_cvtpi32x2_ps(__m64 a, __m64 b)
+{
+ return vreinterpretq_m128_f32(vcvtq_f32_s32(
+ vcombine_s32(vreinterpret_s32_m64(a), vreinterpret_s32_m64(b))));
+}
+
+// Convert the lower packed 8-bit integers in a to packed single-precision
+// (32-bit) floating-point elements, and store the results in dst.
+//
+// FOR j := 0 to 3
+// i := j*8
+// m := j*32
+// dst[m+31:m] := Convert_Int8_To_FP32(a[i+7:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtpi8_ps
+FORCE_INLINE __m128 _mm_cvtpi8_ps(__m64 a)
+{
+ return vreinterpretq_m128_f32(vcvtq_f32_s32(
+ vmovl_s16(vget_low_s16(vmovl_s8(vreinterpret_s8_m64(a))))));
+}
+
+// Convert packed unsigned 16-bit integers in a to packed single-precision
+// (32-bit) floating-point elements, and store the results in dst.
+//
+// FOR j := 0 to 3
+// i := j*16
+// m := j*32
+// dst[m+31:m] := Convert_UInt16_To_FP32(a[i+15:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtpu16_ps
+FORCE_INLINE __m128 _mm_cvtpu16_ps(__m64 a)
+{
+ return vreinterpretq_m128_f32(
+ vcvtq_f32_u32(vmovl_u16(vreinterpret_u16_m64(a))));
+}
+
+// Convert the lower packed unsigned 8-bit integers in a to packed
+// single-precision (32-bit) floating-point elements, and store the results in
+// dst.
+//
+// FOR j := 0 to 3
+// i := j*8
+// m := j*32
+// dst[m+31:m] := Convert_UInt8_To_FP32(a[i+7:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtpu8_ps
+FORCE_INLINE __m128 _mm_cvtpu8_ps(__m64 a)
+{
+ return vreinterpretq_m128_f32(vcvtq_f32_u32(
+ vmovl_u16(vget_low_u16(vmovl_u8(vreinterpret_u8_m64(a))))));
+}
+
+// Converts the four single-precision, floating-point values of a to signed
+// 32-bit integer values using truncate.
+// https://msdn.microsoft.com/en-us/library/vstudio/1h005y6x(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_cvttps_epi32(__m128 a)
+{
+ return vreinterpretq_m128i_s32(vcvtq_s32_f32(vreinterpretq_f32_m128(a)));
+}
+
+// Convert the lower double-precision (64-bit) floating-point element in a to a
+// 64-bit integer with truncation, and store the result in dst.
+//
+// dst[63:0] := Convert_FP64_To_Int64_Truncate(a[63:0])
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvttsd_si64
+FORCE_INLINE int64_t _mm_cvttsd_si64(__m128d a)
+{
+#if defined(__aarch64__)
+ return vgetq_lane_s64(vcvtq_s64_f64(vreinterpretq_f64_m128d(a)), 0);
+#else
+ double ret = *((double *) &a);
+ return (int64_t) ret;
+#endif
+}
+
+// Convert the lower double-precision (64-bit) floating-point element in a to a
+// 64-bit integer with truncation, and store the result in dst.
+//
+// dst[63:0] := Convert_FP64_To_Int64_Truncate(a[63:0])
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvttsd_si64x
+#define _mm_cvttsd_si64x(a) _mm_cvttsd_si64(a)
+
+// Converts the four signed 32-bit integer values of a to single-precision,
+// floating-point values
+// https://msdn.microsoft.com/en-us/library/vstudio/36bwxcx5(v=vs.100).aspx
+FORCE_INLINE __m128 _mm_cvtepi32_ps(__m128i a)
+{
+ return vreinterpretq_m128_f32(vcvtq_f32_s32(vreinterpretq_s32_m128i(a)));
+}
+
+// Converts the four unsigned 8-bit integers in the lower 16 bits to four
+// unsigned 32-bit integers.
+FORCE_INLINE __m128i _mm_cvtepu8_epi16(__m128i a)
+{
+ uint8x16_t u8x16 = vreinterpretq_u8_m128i(a); /* xxxx xxxx xxxx DCBA */
+ uint16x8_t u16x8 = vmovl_u8(vget_low_u8(u8x16)); /* 0x0x 0x0x 0D0C 0B0A */
+ return vreinterpretq_m128i_u16(u16x8);
+}
+
+// Converts the four unsigned 8-bit integers in the lower 32 bits to four
+// unsigned 32-bit integers.
+// https://msdn.microsoft.com/en-us/library/bb531467%28v=vs.100%29.aspx
+FORCE_INLINE __m128i _mm_cvtepu8_epi32(__m128i a)
+{
+ uint8x16_t u8x16 = vreinterpretq_u8_m128i(a); /* xxxx xxxx xxxx DCBA */
+ uint16x8_t u16x8 = vmovl_u8(vget_low_u8(u8x16)); /* 0x0x 0x0x 0D0C 0B0A */
+ uint32x4_t u32x4 = vmovl_u16(vget_low_u16(u16x8)); /* 000D 000C 000B 000A */
+ return vreinterpretq_m128i_u32(u32x4);
+}
+
+// Converts the two unsigned 8-bit integers in the lower 16 bits to two
+// unsigned 64-bit integers.
+FORCE_INLINE __m128i _mm_cvtepu8_epi64(__m128i a)
+{
+ uint8x16_t u8x16 = vreinterpretq_u8_m128i(a); /* xxxx xxxx xxxx xxBA */
+ uint16x8_t u16x8 = vmovl_u8(vget_low_u8(u8x16)); /* 0x0x 0x0x 0x0x 0B0A */
+ uint32x4_t u32x4 = vmovl_u16(vget_low_u16(u16x8)); /* 000x 000x 000B 000A */
+ uint64x2_t u64x2 = vmovl_u32(vget_low_u32(u32x4)); /* 0000 000B 0000 000A */
+ return vreinterpretq_m128i_u64(u64x2);
+}
+
+// Converts the four unsigned 8-bit integers in the lower 16 bits to four
+// unsigned 32-bit integers.
+FORCE_INLINE __m128i _mm_cvtepi8_epi16(__m128i a)
+{
+ int8x16_t s8x16 = vreinterpretq_s8_m128i(a); /* xxxx xxxx xxxx DCBA */
+ int16x8_t s16x8 = vmovl_s8(vget_low_s8(s8x16)); /* 0x0x 0x0x 0D0C 0B0A */
+ return vreinterpretq_m128i_s16(s16x8);
+}
+
+// Converts the four unsigned 8-bit integers in the lower 32 bits to four
+// unsigned 32-bit integers.
+FORCE_INLINE __m128i _mm_cvtepi8_epi32(__m128i a)
+{
+ int8x16_t s8x16 = vreinterpretq_s8_m128i(a); /* xxxx xxxx xxxx DCBA */
+ int16x8_t s16x8 = vmovl_s8(vget_low_s8(s8x16)); /* 0x0x 0x0x 0D0C 0B0A */
+ int32x4_t s32x4 = vmovl_s16(vget_low_s16(s16x8)); /* 000D 000C 000B 000A */
+ return vreinterpretq_m128i_s32(s32x4);
+}
+
+// Converts the two signed 8-bit integers in the lower 32 bits to four
+// signed 64-bit integers.
+FORCE_INLINE __m128i _mm_cvtepi8_epi64(__m128i a)
+{
+ int8x16_t s8x16 = vreinterpretq_s8_m128i(a); /* xxxx xxxx xxxx xxBA */
+ int16x8_t s16x8 = vmovl_s8(vget_low_s8(s8x16)); /* 0x0x 0x0x 0x0x 0B0A */
+ int32x4_t s32x4 = vmovl_s16(vget_low_s16(s16x8)); /* 000x 000x 000B 000A */
+ int64x2_t s64x2 = vmovl_s32(vget_low_s32(s32x4)); /* 0000 000B 0000 000A */
+ return vreinterpretq_m128i_s64(s64x2);
+}
+
+// Converts the four signed 16-bit integers in the lower 64 bits to four signed
+// 32-bit integers.
+FORCE_INLINE __m128i _mm_cvtepi16_epi32(__m128i a)
+{
+ return vreinterpretq_m128i_s32(
+ vmovl_s16(vget_low_s16(vreinterpretq_s16_m128i(a))));
+}
+
+// Converts the two signed 16-bit integers in the lower 32 bits two signed
+// 32-bit integers.
+FORCE_INLINE __m128i _mm_cvtepi16_epi64(__m128i a)
+{
+ int16x8_t s16x8 = vreinterpretq_s16_m128i(a); /* xxxx xxxx xxxx 0B0A */
+ int32x4_t s32x4 = vmovl_s16(vget_low_s16(s16x8)); /* 000x 000x 000B 000A */
+ int64x2_t s64x2 = vmovl_s32(vget_low_s32(s32x4)); /* 0000 000B 0000 000A */
+ return vreinterpretq_m128i_s64(s64x2);
+}
+
+// Converts the four unsigned 16-bit integers in the lower 64 bits to four
+// unsigned 32-bit integers.
+FORCE_INLINE __m128i _mm_cvtepu16_epi32(__m128i a)
+{
+ return vreinterpretq_m128i_u32(
+ vmovl_u16(vget_low_u16(vreinterpretq_u16_m128i(a))));
+}
+
+// Converts the two unsigned 16-bit integers in the lower 32 bits to two
+// unsigned 64-bit integers.
+FORCE_INLINE __m128i _mm_cvtepu16_epi64(__m128i a)
+{
+ uint16x8_t u16x8 = vreinterpretq_u16_m128i(a); /* xxxx xxxx xxxx 0B0A */
+ uint32x4_t u32x4 = vmovl_u16(vget_low_u16(u16x8)); /* 000x 000x 000B 000A */
+ uint64x2_t u64x2 = vmovl_u32(vget_low_u32(u32x4)); /* 0000 000B 0000 000A */
+ return vreinterpretq_m128i_u64(u64x2);
+}
+
+// Converts the two unsigned 32-bit integers in the lower 64 bits to two
+// unsigned 64-bit integers.
+FORCE_INLINE __m128i _mm_cvtepu32_epi64(__m128i a)
+{
+ return vreinterpretq_m128i_u64(
+ vmovl_u32(vget_low_u32(vreinterpretq_u32_m128i(a))));
+}
+
+// Converts the two signed 32-bit integers in the lower 64 bits to two signed
+// 64-bit integers.
+FORCE_INLINE __m128i _mm_cvtepi32_epi64(__m128i a)
+{
+ return vreinterpretq_m128i_s64(
+ vmovl_s32(vget_low_s32(vreinterpretq_s32_m128i(a))));
+}
+
+// Converts the four single-precision, floating-point values of a to signed
+// 32-bit integer values.
+//
+// r0 := (int) a0
+// r1 := (int) a1
+// r2 := (int) a2
+// r3 := (int) a3
+//
+// https://msdn.microsoft.com/en-us/library/vstudio/xdc42k5e(v=vs.100).aspx
+// *NOTE*. The default rounding mode on SSE is 'round to even', which ARMv7-A
+// does not support! It is supported on ARMv8-A however.
+FORCE_INLINE __m128i _mm_cvtps_epi32(__m128 a)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128i_s32(vcvtnq_s32_f32(a));
+#else
+ uint32x4_t signmask = vdupq_n_u32(0x80000000);
+ float32x4_t half = vbslq_f32(signmask, vreinterpretq_f32_m128(a),
+ vdupq_n_f32(0.5f)); /* +/- 0.5 */
+ int32x4_t r_normal = vcvtq_s32_f32(vaddq_f32(
+ vreinterpretq_f32_m128(a), half)); /* round to integer: [a + 0.5]*/
+ int32x4_t r_trunc =
+ vcvtq_s32_f32(vreinterpretq_f32_m128(a)); /* truncate to integer: [a] */
+ int32x4_t plusone = vreinterpretq_s32_u32(vshrq_n_u32(
+ vreinterpretq_u32_s32(vnegq_s32(r_trunc)), 31)); /* 1 or 0 */
+ int32x4_t r_even = vbicq_s32(vaddq_s32(r_trunc, plusone),
+ vdupq_n_s32(1)); /* ([a] + {0,1}) & ~1 */
+ float32x4_t delta = vsubq_f32(
+ vreinterpretq_f32_m128(a),
+ vcvtq_f32_s32(r_trunc)); /* compute delta: delta = (a - [a]) */
+ uint32x4_t is_delta_half = vceqq_f32(delta, half); /* delta == +/- 0.5 */
+ return vreinterpretq_m128i_s32(vbslq_s32(is_delta_half, r_even, r_normal));
+#endif
+}
+
+// Convert packed single-precision (32-bit) floating-point elements in a to
+// packed 16-bit integers, and store the results in dst. Note: this intrinsic
+// will generate 0x7FFF, rather than 0x8000, for input values between 0x7FFF and
+// 0x7FFFFFFF.
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtps_pi16
+FORCE_INLINE __m64 _mm_cvtps_pi16(__m128 a)
+{
+ return vreinterpret_m64_s16(
+ vmovn_s32(vreinterpretq_s32_m128i(_mm_cvtps_epi32(a))));
+}
+
+// Copy the lower 32-bit integer in a to dst.
+//
+// dst[31:0] := a[31:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtsi128_si32
+FORCE_INLINE int _mm_cvtsi128_si32(__m128i a)
+{
+ return vgetq_lane_s32(vreinterpretq_s32_m128i(a), 0);
+}
+
+// Copy the lower 64-bit integer in a to dst.
+//
+// dst[63:0] := a[63:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtsi128_si64
+FORCE_INLINE int64_t _mm_cvtsi128_si64(__m128i a)
+{
+ return vgetq_lane_s64(vreinterpretq_s64_m128i(a), 0);
+}
+
+// Copy the lower 64-bit integer in a to dst.
+//
+// dst[63:0] := a[63:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtsi128_si64x
+#define _mm_cvtsi128_si64x(a) _mm_cvtsi128_si64(a)
+
+// Moves 32-bit integer a to the least significant 32 bits of an __m128 object,
+// zero extending the upper bits.
+//
+// r0 := a
+// r1 := 0x0
+// r2 := 0x0
+// r3 := 0x0
+//
+// https://msdn.microsoft.com/en-us/library/ct3539ha%28v=vs.90%29.aspx
+FORCE_INLINE __m128i _mm_cvtsi32_si128(int a)
+{
+ return vreinterpretq_m128i_s32(vsetq_lane_s32(a, vdupq_n_s32(0), 0));
+}
+
+// Moves 64-bit integer a to the least significant 64 bits of an __m128 object,
+// zero extending the upper bits.
+//
+// r0 := a
+// r1 := 0x0
+FORCE_INLINE __m128i _mm_cvtsi64_si128(int64_t a)
+{
+ return vreinterpretq_m128i_s64(vsetq_lane_s64(a, vdupq_n_s64(0), 0));
+}
+
+// Cast vector of type __m128 to type __m128d. This intrinsic is only used for
+// compilation and does not generate any instructions, thus it has zero latency.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_castps_pd
+FORCE_INLINE __m128d _mm_castps_pd(__m128 a)
+{
+ return vreinterpretq_m128d_s32(vreinterpretq_s32_m128(a));
+}
+
+// Applies a type cast to reinterpret four 32-bit floating point values passed
+// in as a 128-bit parameter as packed 32-bit integers.
+// https://msdn.microsoft.com/en-us/library/bb514099.aspx
+FORCE_INLINE __m128i _mm_castps_si128(__m128 a)
+{
+ return vreinterpretq_m128i_s32(vreinterpretq_s32_m128(a));
+}
+
+// Cast vector of type __m128i to type __m128d. This intrinsic is only used for
+// compilation and does not generate any instructions, thus it has zero latency.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_castsi128_pd
+FORCE_INLINE __m128d _mm_castsi128_pd(__m128i a)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(vreinterpretq_f64_m128i(a));
+#else
+ return vreinterpretq_m128d_f32(vreinterpretq_f32_m128i(a));
+#endif
+}
+
+// Applies a type cast to reinterpret four 32-bit integers passed in as a
+// 128-bit parameter as packed 32-bit floating point values.
+// https://msdn.microsoft.com/en-us/library/bb514029.aspx
+FORCE_INLINE __m128 _mm_castsi128_ps(__m128i a)
+{
+ return vreinterpretq_m128_s32(vreinterpretq_s32_m128i(a));
+}
+
+// Loads 128-bit value. :
+// https://msdn.microsoft.com/en-us/library/atzzad1h(v=vs.80).aspx
+FORCE_INLINE __m128i _mm_load_si128(const __m128i *p)
+{
+ return vreinterpretq_m128i_s32(vld1q_s32((const int32_t *) p));
+}
+
+// Load a double-precision (64-bit) floating-point element from memory into both
+// elements of dst.
+//
+// dst[63:0] := MEM[mem_addr+63:mem_addr]
+// dst[127:64] := MEM[mem_addr+63:mem_addr]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_load1_pd
+FORCE_INLINE __m128d _mm_load1_pd(const double *p)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(vld1q_dup_f64(p));
+#else
+ return vreinterpretq_m128d_s64(vdupq_n_s64(*(const int64_t *) p));
+#endif
+}
+
+// Load a double-precision (64-bit) floating-point element from memory into both
+// elements of dst.
+//
+// dst[63:0] := MEM[mem_addr+63:mem_addr]
+// dst[127:64] := MEM[mem_addr+63:mem_addr]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_load_pd1
+#define _mm_load_pd1 _mm_load1_pd
+
+// Load a double-precision (64-bit) floating-point element from memory into the
+// upper element of dst, and copy the lower element from a to dst. mem_addr does
+// not need to be aligned on any particular boundary.
+//
+// dst[63:0] := a[63:0]
+// dst[127:64] := MEM[mem_addr+63:mem_addr]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_loadh_pd
+FORCE_INLINE __m128d _mm_loadh_pd(__m128d a, const double *p)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(
+ vcombine_f64(vget_low_f64(vreinterpretq_f64_m128d(a)), vld1_f64(p)));
+#else
+ return vreinterpretq_m128d_f32(vcombine_f32(
+ vget_low_f32(vreinterpretq_f32_m128d(a)), vld1_f32((const float *) p)));
+#endif
+}
+
+// Load a double-precision (64-bit) floating-point element from memory into both
+// elements of dst.
+//
+// dst[63:0] := MEM[mem_addr+63:mem_addr]
+// dst[127:64] := MEM[mem_addr+63:mem_addr]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_load_pd1
+#define _mm_load_pd1 _mm_load1_pd
+
+// Load a double-precision (64-bit) floating-point element from memory into both
+// elements of dst.
+//
+// dst[63:0] := MEM[mem_addr+63:mem_addr]
+// dst[127:64] := MEM[mem_addr+63:mem_addr]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_loaddup_pd
+#define _mm_loaddup_pd _mm_load1_pd
+
+// Loads 128-bit value. :
+// https://msdn.microsoft.com/zh-cn/library/f4k12ae8(v=vs.90).aspx
+FORCE_INLINE __m128i _mm_loadu_si128(const __m128i *p)
+{
+ return vreinterpretq_m128i_s32(vld1q_s32((const int32_t *) p));
+}
+
+// Load unaligned 32-bit integer from memory into the first element of dst.
+//
+// dst[31:0] := MEM[mem_addr+31:mem_addr]
+// dst[MAX:32] := 0
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_loadu_si32
+FORCE_INLINE __m128i _mm_loadu_si32(const void *p)
+{
+ return vreinterpretq_m128i_s32(
+ vsetq_lane_s32(*(const int32_t *) p, vdupq_n_s32(0), 0));
+}
+
+// Convert packed double-precision (64-bit) floating-point elements in a to
+// packed single-precision (32-bit) floating-point elements, and store the
+// results in dst.
+//
+// FOR j := 0 to 1
+// i := 32*j
+// k := 64*j
+// dst[i+31:i] := Convert_FP64_To_FP32(a[k+64:k])
+// ENDFOR
+// dst[127:64] := 0
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtpd_ps
+FORCE_INLINE __m128 _mm_cvtpd_ps(__m128d a)
+{
+#if defined(__aarch64__)
+ float32x2_t tmp = vcvt_f32_f64(vreinterpretq_f64_m128d(a));
+ return vreinterpretq_m128_f32(vcombine_f32(tmp, vdup_n_f32(0)));
+#else
+ float a0 = (float) ((double *) &a)[0];
+ float a1 = (float) ((double *) &a)[1];
+ return _mm_set_ps(0, 0, a1, a0);
+#endif
+}
+
+// Copy the lower double-precision (64-bit) floating-point element of a to dst.
+//
+// dst[63:0] := a[63:0]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtsd_f64
+FORCE_INLINE double _mm_cvtsd_f64(__m128d a)
+{
+#if defined(__aarch64__)
+ return (double) vgetq_lane_f64(vreinterpretq_f64_m128d(a), 0);
+#else
+ return ((double *) &a)[0];
+#endif
+}
+
+// Convert packed single-precision (32-bit) floating-point elements in a to
+// packed double-precision (64-bit) floating-point elements, and store the
+// results in dst.
+//
+// FOR j := 0 to 1
+// i := 64*j
+// k := 32*j
+// dst[i+63:i] := Convert_FP32_To_FP64(a[k+31:k])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtps_pd
+FORCE_INLINE __m128d _mm_cvtps_pd(__m128 a)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(
+ vcvt_f64_f32(vget_low_f32(vreinterpretq_f32_m128(a))));
+#else
+ double a0 = (double) vgetq_lane_f32(vreinterpretq_f32_m128(a), 0);
+ double a1 = (double) vgetq_lane_f32(vreinterpretq_f32_m128(a), 1);
+ return _mm_set_pd(a1, a0);
+#endif
+}
+
+// Cast vector of type __m128d to type __m128i. This intrinsic is only used for
+// compilation and does not generate any instructions, thus it has zero latency.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_castpd_si128
+FORCE_INLINE __m128i _mm_castpd_si128(__m128d a)
+{
+ return vreinterpretq_m128i_s64(vreinterpretq_s64_m128d(a));
+}
+
+// Cast vector of type __m128d to type __m128. This intrinsic is only used for
+// compilation and does not generate any instructions, thus it has zero latency.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_castpd_ps
+FORCE_INLINE __m128 _mm_castpd_ps(__m128d a)
+{
+ return vreinterpretq_m128_s64(vreinterpretq_s64_m128d(a));
+}
+
+// Blend packed single-precision (32-bit) floating-point elements from a and b
+// using mask, and store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_blendv_ps
+FORCE_INLINE __m128 _mm_blendv_ps(__m128 _a, __m128 _b, __m128 _mask)
+{
+ // Use a signed shift right to create a mask with the sign bit
+ uint32x4_t mask =
+ vreinterpretq_u32_s32(vshrq_n_s32(vreinterpretq_s32_m128(_mask), 31));
+ float32x4_t a = vreinterpretq_f32_m128(_a);
+ float32x4_t b = vreinterpretq_f32_m128(_b);
+ return vreinterpretq_m128_f32(vbslq_f32(mask, b, a));
+}
+
+// Blend packed single-precision (32-bit) floating-point elements from a and b
+// using mask, and store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_blend_ps
+FORCE_INLINE __m128 _mm_blend_ps(__m128 _a, __m128 _b, const char imm8)
+{
+ const uint32_t ALIGN_STRUCT(16)
+ data[4] = {((imm8) & (1 << 0)) ? UINT32_MAX : 0,
+ ((imm8) & (1 << 1)) ? UINT32_MAX : 0,
+ ((imm8) & (1 << 2)) ? UINT32_MAX : 0,
+ ((imm8) & (1 << 3)) ? UINT32_MAX : 0};
+ uint32x4_t mask = vld1q_u32(data);
+ float32x4_t a = vreinterpretq_f32_m128(_a);
+ float32x4_t b = vreinterpretq_f32_m128(_b);
+ return vreinterpretq_m128_f32(vbslq_f32(mask, b, a));
+}
+
+// Blend packed double-precision (64-bit) floating-point elements from a and b
+// using mask, and store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_blendv_pd
+FORCE_INLINE __m128d _mm_blendv_pd(__m128d _a, __m128d _b, __m128d _mask)
+{
+ uint64x2_t mask =
+ vreinterpretq_u64_s64(vshrq_n_s64(vreinterpretq_s64_m128d(_mask), 63));
+#if defined(__aarch64__)
+ float64x2_t a = vreinterpretq_f64_m128d(_a);
+ float64x2_t b = vreinterpretq_f64_m128d(_b);
+ return vreinterpretq_m128d_f64(vbslq_f64(mask, b, a));
+#else
+ uint64x2_t a = vreinterpretq_u64_m128d(_a);
+ uint64x2_t b = vreinterpretq_u64_m128d(_b);
+ return vreinterpretq_m128d_u64(vbslq_u64(mask, b, a));
+#endif
+}
+
+typedef struct {
+ uint16_t res0;
+ uint8_t res1 : 6;
+ uint8_t bit22 : 1;
+ uint8_t bit23 : 1;
+ uint8_t res2;
+#if defined(__aarch64__)
+ uint32_t res3;
+#endif
+} fpcr_bitfield;
+
+// Macro: Set the rounding mode bits of the MXCSR control and status register to
+// the value in unsigned 32-bit integer a. The rounding mode may contain any of
+// the following flags: _MM_ROUND_NEAREST, _MM_ROUND_DOWN, _MM_ROUND_UP,
+// _MM_ROUND_TOWARD_ZERO
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_MM_SET_ROUNDING_MODE
+FORCE_INLINE void _MM_SET_ROUNDING_MODE(int rounding)
+{
+ union {
+ fpcr_bitfield field;
+#if defined(__aarch64__)
+ uint64_t value;
+#else
+ uint32_t value;
+#endif
+ } r;
+
+#if defined(__aarch64__)
+ asm volatile("mrs %0, FPCR" : "=r"(r.value)); /* read */
+#else
+ asm volatile("vmrs %0, FPSCR" : "=r"(r.value)); /* read */
+#endif
+
+ switch (rounding) {
+ case _MM_ROUND_TOWARD_ZERO:
+ r.field.bit22 = 1;
+ r.field.bit23 = 1;
+ break;
+ case _MM_ROUND_DOWN:
+ r.field.bit22 = 0;
+ r.field.bit23 = 1;
+ break;
+ case _MM_ROUND_UP:
+ r.field.bit22 = 1;
+ r.field.bit23 = 0;
+ break;
+ default: //_MM_ROUND_NEAREST
+ r.field.bit22 = 0;
+ r.field.bit23 = 0;
+ }
+
+#if defined(__aarch64__)
+ asm volatile("msr FPCR, %0" ::"r"(r)); /* write */
+#else
+ asm volatile("vmsr FPSCR, %0" ::"r"(r)); /* write */
+#endif
+}
+
+FORCE_INLINE void _mm_setcsr(unsigned int a)
+{
+ _MM_SET_ROUNDING_MODE(a);
+}
+
+// Round the packed single-precision (32-bit) floating-point elements in a using
+// the rounding parameter, and store the results as packed single-precision
+// floating-point elements in dst.
+// software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_round_ps
+FORCE_INLINE __m128 _mm_round_ps(__m128 a, int rounding)
+{
+#if defined(__aarch64__)
+ switch (rounding) {
+ case (_MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC):
+ return vreinterpretq_m128_f32(vrndnq_f32(vreinterpretq_f32_m128(a)));
+ case (_MM_FROUND_TO_NEG_INF | _MM_FROUND_NO_EXC):
+ return vreinterpretq_m128_f32(vrndmq_f32(vreinterpretq_f32_m128(a)));
+ case (_MM_FROUND_TO_POS_INF | _MM_FROUND_NO_EXC):
+ return vreinterpretq_m128_f32(vrndpq_f32(vreinterpretq_f32_m128(a)));
+ case (_MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC):
+ return vreinterpretq_m128_f32(vrndq_f32(vreinterpretq_f32_m128(a)));
+ default: //_MM_FROUND_CUR_DIRECTION
+ return vreinterpretq_m128_f32(vrndiq_f32(vreinterpretq_f32_m128(a)));
+ }
+#else
+ float *v_float = (float *) &a;
+ __m128 zero, neg_inf, pos_inf;
+
+ switch (rounding) {
+ case (_MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC):
+ return _mm_cvtepi32_ps(_mm_cvtps_epi32(a));
+ case (_MM_FROUND_TO_NEG_INF | _MM_FROUND_NO_EXC):
+ return (__m128){floorf(v_float[0]), floorf(v_float[1]),
+ floorf(v_float[2]), floorf(v_float[3])};
+ case (_MM_FROUND_TO_POS_INF | _MM_FROUND_NO_EXC):
+ return (__m128){ceilf(v_float[0]), ceilf(v_float[1]), ceilf(v_float[2]),
+ ceilf(v_float[3])};
+ case (_MM_FROUND_TO_ZERO | _MM_FROUND_NO_EXC):
+ zero = _mm_set_ps(0.0f, 0.0f, 0.0f, 0.0f);
+ neg_inf = _mm_set_ps(floorf(v_float[0]), floorf(v_float[1]),
+ floorf(v_float[2]), floorf(v_float[3]));
+ pos_inf = _mm_set_ps(ceilf(v_float[0]), ceilf(v_float[1]),
+ ceilf(v_float[2]), ceilf(v_float[3]));
+ return _mm_blendv_ps(pos_inf, neg_inf, _mm_cmple_ps(a, zero));
+ default: //_MM_FROUND_CUR_DIRECTION
+ return (__m128){roundf(v_float[0]), roundf(v_float[1]),
+ roundf(v_float[2]), roundf(v_float[3])};
+ }
+#endif
+}
+
+// Convert packed single-precision (32-bit) floating-point elements in a to
+// packed 32-bit integers, and store the results in dst.
+//
+// FOR j := 0 to 1
+// i := 32*j
+// dst[i+31:i] := Convert_FP32_To_Int32(a[i+31:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvt_ps2pi
+FORCE_INLINE __m64 _mm_cvt_ps2pi(__m128 a)
+{
+#if defined(__aarch64__)
+ return vreinterpret_m64_s32(
+ vget_low_s32(vcvtnq_s32_f32(vreinterpretq_f32_m128(a))));
+#else
+ return vreinterpret_m64_s32(
+ vcvt_s32_f32(vget_low_f32(vreinterpretq_f32_m128(
+ _mm_round_ps(a, _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC)))));
+#endif
+}
+
+// Convert packed single-precision (32-bit) floating-point elements in a to
+// packed 32-bit integers, and store the results in dst.
+//
+// FOR j := 0 to 1
+// i := 32*j
+// dst[i+31:i] := Convert_FP32_To_Int32(a[i+31:i])
+// ENDFOR
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_cvtps_pi32
+#define _mm_cvtps_pi32(a) _mm_cvt_ps2pi(a)
+
+// Round the packed single-precision (32-bit) floating-point elements in a up to
+// an integer value, and store the results as packed single-precision
+// floating-point elements in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_ceil_ps
+FORCE_INLINE __m128 _mm_ceil_ps(__m128 a)
+{
+ return _mm_round_ps(a, _MM_FROUND_TO_POS_INF | _MM_FROUND_NO_EXC);
+}
+
+// Round the lower single-precision (32-bit) floating-point element in b up to
+// an integer value, store the result as a single-precision floating-point
+// element in the lower element of dst, and copy the upper 3 packed elements
+// from a to the upper elements of dst.
+//
+// dst[31:0] := CEIL(b[31:0])
+// dst[127:32] := a[127:32]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_ceil_ss
+FORCE_INLINE __m128 _mm_ceil_ss(__m128 a, __m128 b)
+{
+ return _mm_move_ss(
+ a, _mm_round_ps(b, _MM_FROUND_TO_POS_INF | _MM_FROUND_NO_EXC));
+}
+
+// Round the packed single-precision (32-bit) floating-point elements in a down
+// to an integer value, and store the results as packed single-precision
+// floating-point elements in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_floor_ps
+FORCE_INLINE __m128 _mm_floor_ps(__m128 a)
+{
+ return _mm_round_ps(a, _MM_FROUND_TO_NEG_INF | _MM_FROUND_NO_EXC);
+}
+
+// Round the lower single-precision (32-bit) floating-point element in b down to
+// an integer value, store the result as a single-precision floating-point
+// element in the lower element of dst, and copy the upper 3 packed elements
+// from a to the upper elements of dst.
+//
+// dst[31:0] := FLOOR(b[31:0])
+// dst[127:32] := a[127:32]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_floor_ss
+FORCE_INLINE __m128 _mm_floor_ss(__m128 a, __m128 b)
+{
+ return _mm_move_ss(
+ a, _mm_round_ps(b, _MM_FROUND_TO_NEG_INF | _MM_FROUND_NO_EXC));
+}
+
+// Load 128-bits of integer data from unaligned memory into dst. This intrinsic
+// may perform better than _mm_loadu_si128 when the data crosses a cache line
+// boundary.
+//
+// dst[127:0] := MEM[mem_addr+127:mem_addr]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_lddqu_si128
+#define _mm_lddqu_si128 _mm_loadu_si128
+
+/* Miscellaneous Operations */
+
+// Shifts the 8 signed 16-bit integers in a right by count bits while shifting
+// in the sign bit.
+//
+// r0 := a0 >> count
+// r1 := a1 >> count
+// ...
+// r7 := a7 >> count
+//
+// https://msdn.microsoft.com/en-us/library/3c9997dk(v%3dvs.90).aspx
+FORCE_INLINE __m128i _mm_sra_epi16(__m128i a, __m128i count)
+{
+ int64_t c = (int64_t) vget_low_s64((int64x2_t) count);
+ if (unlikely(c > 15))
+ return _mm_cmplt_epi16(a, _mm_setzero_si128());
+ return vreinterpretq_m128i_s16(vshlq_s16((int16x8_t) a, vdupq_n_s16(-c)));
+}
+
+// Shifts the 4 signed 32-bit integers in a right by count bits while shifting
+// in the sign bit.
+//
+// r0 := a0 >> count
+// r1 := a1 >> count
+// r2 := a2 >> count
+// r3 := a3 >> count
+//
+// https://msdn.microsoft.com/en-us/library/ce40009e(v%3dvs.100).aspx
+FORCE_INLINE __m128i _mm_sra_epi32(__m128i a, __m128i count)
+{
+ int64_t c = (int64_t) vget_low_s64((int64x2_t) count);
+ if (unlikely(c > 31))
+ return _mm_cmplt_epi32(a, _mm_setzero_si128());
+ return vreinterpretq_m128i_s32(vshlq_s32((int32x4_t) a, vdupq_n_s32(-c)));
+}
+
+// Packs the 16 signed 16-bit integers from a and b into 8-bit integers and
+// saturates.
+// https://msdn.microsoft.com/en-us/library/k4y4f7w5%28v=vs.90%29.aspx
+FORCE_INLINE __m128i _mm_packs_epi16(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s8(
+ vcombine_s8(vqmovn_s16(vreinterpretq_s16_m128i(a)),
+ vqmovn_s16(vreinterpretq_s16_m128i(b))));
+}
+
+// Packs the 16 signed 16 - bit integers from a and b into 8 - bit unsigned
+// integers and saturates.
+//
+// r0 := UnsignedSaturate(a0)
+// r1 := UnsignedSaturate(a1)
+// ...
+// r7 := UnsignedSaturate(a7)
+// r8 := UnsignedSaturate(b0)
+// r9 := UnsignedSaturate(b1)
+// ...
+// r15 := UnsignedSaturate(b7)
+//
+// https://msdn.microsoft.com/en-us/library/07ad1wx4(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_packus_epi16(const __m128i a, const __m128i b)
+{
+ return vreinterpretq_m128i_u8(
+ vcombine_u8(vqmovun_s16(vreinterpretq_s16_m128i(a)),
+ vqmovun_s16(vreinterpretq_s16_m128i(b))));
+}
+
+// Packs the 8 signed 32-bit integers from a and b into signed 16-bit integers
+// and saturates.
+//
+// r0 := SignedSaturate(a0)
+// r1 := SignedSaturate(a1)
+// r2 := SignedSaturate(a2)
+// r3 := SignedSaturate(a3)
+// r4 := SignedSaturate(b0)
+// r5 := SignedSaturate(b1)
+// r6 := SignedSaturate(b2)
+// r7 := SignedSaturate(b3)
+//
+// https://msdn.microsoft.com/en-us/library/393t56f9%28v=vs.90%29.aspx
+FORCE_INLINE __m128i _mm_packs_epi32(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_s16(
+ vcombine_s16(vqmovn_s32(vreinterpretq_s32_m128i(a)),
+ vqmovn_s32(vreinterpretq_s32_m128i(b))));
+}
+
+// Packs the 8 unsigned 32-bit integers from a and b into unsigned 16-bit
+// integers and saturates.
+//
+// r0 := UnsignedSaturate(a0)
+// r1 := UnsignedSaturate(a1)
+// r2 := UnsignedSaturate(a2)
+// r3 := UnsignedSaturate(a3)
+// r4 := UnsignedSaturate(b0)
+// r5 := UnsignedSaturate(b1)
+// r6 := UnsignedSaturate(b2)
+// r7 := UnsignedSaturate(b3)
+FORCE_INLINE __m128i _mm_packus_epi32(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u16(
+ vcombine_u16(vqmovun_s32(vreinterpretq_s32_m128i(a)),
+ vqmovun_s32(vreinterpretq_s32_m128i(b))));
+}
+
+// Interleaves the lower 8 signed or unsigned 8-bit integers in a with the lower
+// 8 signed or unsigned 8-bit integers in b.
+//
+// r0 := a0
+// r1 := b0
+// r2 := a1
+// r3 := b1
+// ...
+// r14 := a7
+// r15 := b7
+//
+// https://msdn.microsoft.com/en-us/library/xf7k860c%28v=vs.90%29.aspx
+FORCE_INLINE __m128i _mm_unpacklo_epi8(__m128i a, __m128i b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128i_s8(
+ vzip1q_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+#else
+ int8x8_t a1 = vreinterpret_s8_s16(vget_low_s16(vreinterpretq_s16_m128i(a)));
+ int8x8_t b1 = vreinterpret_s8_s16(vget_low_s16(vreinterpretq_s16_m128i(b)));
+ int8x8x2_t result = vzip_s8(a1, b1);
+ return vreinterpretq_m128i_s8(vcombine_s8(result.val[0], result.val[1]));
+#endif
+}
+
+// Interleaves the lower 4 signed or unsigned 16-bit integers in a with the
+// lower 4 signed or unsigned 16-bit integers in b.
+//
+// r0 := a0
+// r1 := b0
+// r2 := a1
+// r3 := b1
+// r4 := a2
+// r5 := b2
+// r6 := a3
+// r7 := b3
+//
+// https://msdn.microsoft.com/en-us/library/btxb17bw%28v=vs.90%29.aspx
+FORCE_INLINE __m128i _mm_unpacklo_epi16(__m128i a, __m128i b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128i_s16(
+ vzip1q_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+#else
+ int16x4_t a1 = vget_low_s16(vreinterpretq_s16_m128i(a));
+ int16x4_t b1 = vget_low_s16(vreinterpretq_s16_m128i(b));
+ int16x4x2_t result = vzip_s16(a1, b1);
+ return vreinterpretq_m128i_s16(vcombine_s16(result.val[0], result.val[1]));
+#endif
+}
+
+// Interleaves the lower 2 signed or unsigned 32 - bit integers in a with the
+// lower 2 signed or unsigned 32 - bit integers in b.
+//
+// r0 := a0
+// r1 := b0
+// r2 := a1
+// r3 := b1
+//
+// https://msdn.microsoft.com/en-us/library/x8atst9d(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_unpacklo_epi32(__m128i a, __m128i b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128i_s32(
+ vzip1q_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+#else
+ int32x2_t a1 = vget_low_s32(vreinterpretq_s32_m128i(a));
+ int32x2_t b1 = vget_low_s32(vreinterpretq_s32_m128i(b));
+ int32x2x2_t result = vzip_s32(a1, b1);
+ return vreinterpretq_m128i_s32(vcombine_s32(result.val[0], result.val[1]));
+#endif
+}
+
+FORCE_INLINE __m128i _mm_unpacklo_epi64(__m128i a, __m128i b)
+{
+ int64x1_t a_l = vget_low_s64(vreinterpretq_s64_m128i(a));
+ int64x1_t b_l = vget_low_s64(vreinterpretq_s64_m128i(b));
+ return vreinterpretq_m128i_s64(vcombine_s64(a_l, b_l));
+}
+
+// Selects and interleaves the lower two single-precision, floating-point values
+// from a and b.
+//
+// r0 := a0
+// r1 := b0
+// r2 := a1
+// r3 := b1
+//
+// https://msdn.microsoft.com/en-us/library/25st103b%28v=vs.90%29.aspx
+FORCE_INLINE __m128 _mm_unpacklo_ps(__m128 a, __m128 b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128_f32(
+ vzip1q_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+#else
+ float32x2_t a1 = vget_low_f32(vreinterpretq_f32_m128(a));
+ float32x2_t b1 = vget_low_f32(vreinterpretq_f32_m128(b));
+ float32x2x2_t result = vzip_f32(a1, b1);
+ return vreinterpretq_m128_f32(vcombine_f32(result.val[0], result.val[1]));
+#endif
+}
+
+// Unpack and interleave double-precision (64-bit) floating-point elements from
+// the low half of a and b, and store the results in dst.
+//
+// DEFINE INTERLEAVE_QWORDS(src1[127:0], src2[127:0]) {
+// dst[63:0] := src1[63:0]
+// dst[127:64] := src2[63:0]
+// RETURN dst[127:0]
+// }
+// dst[127:0] := INTERLEAVE_QWORDS(a[127:0], b[127:0])
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_unpacklo_pd
+FORCE_INLINE __m128d _mm_unpacklo_pd(__m128d a, __m128d b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(
+ vzip1q_f64(vreinterpretq_f64_m128d(a), vreinterpretq_f64_m128d(b)));
+#else
+ return vreinterpretq_m128d_s64(
+ vcombine_s64(vget_low_s64(vreinterpretq_s64_m128d(a)),
+ vget_low_s64(vreinterpretq_s64_m128d(b))));
+#endif
+}
+
+// Unpack and interleave double-precision (64-bit) floating-point elements from
+// the high half of a and b, and store the results in dst.
+//
+// DEFINE INTERLEAVE_HIGH_QWORDS(src1[127:0], src2[127:0]) {
+// dst[63:0] := src1[127:64]
+// dst[127:64] := src2[127:64]
+// RETURN dst[127:0]
+// }
+// dst[127:0] := INTERLEAVE_HIGH_QWORDS(a[127:0], b[127:0])
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_unpackhi_pd
+FORCE_INLINE __m128d _mm_unpackhi_pd(__m128d a, __m128d b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128d_f64(
+ vzip2q_f64(vreinterpretq_f64_m128d(a), vreinterpretq_f64_m128d(b)));
+#else
+ return vreinterpretq_m128d_s64(
+ vcombine_s64(vget_high_s64(vreinterpretq_s64_m128d(a)),
+ vget_high_s64(vreinterpretq_s64_m128d(b))));
+#endif
+}
+
+// Selects and interleaves the upper two single-precision, floating-point values
+// from a and b.
+//
+// r0 := a2
+// r1 := b2
+// r2 := a3
+// r3 := b3
+//
+// https://msdn.microsoft.com/en-us/library/skccxx7d%28v=vs.90%29.aspx
+FORCE_INLINE __m128 _mm_unpackhi_ps(__m128 a, __m128 b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128_f32(
+ vzip2q_f32(vreinterpretq_f32_m128(a), vreinterpretq_f32_m128(b)));
+#else
+ float32x2_t a1 = vget_high_f32(vreinterpretq_f32_m128(a));
+ float32x2_t b1 = vget_high_f32(vreinterpretq_f32_m128(b));
+ float32x2x2_t result = vzip_f32(a1, b1);
+ return vreinterpretq_m128_f32(vcombine_f32(result.val[0], result.val[1]));
+#endif
+}
+
+// Interleaves the upper 8 signed or unsigned 8-bit integers in a with the upper
+// 8 signed or unsigned 8-bit integers in b.
+//
+// r0 := a8
+// r1 := b8
+// r2 := a9
+// r3 := b9
+// ...
+// r14 := a15
+// r15 := b15
+//
+// https://msdn.microsoft.com/en-us/library/t5h7783k(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_unpackhi_epi8(__m128i a, __m128i b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128i_s8(
+ vzip2q_s8(vreinterpretq_s8_m128i(a), vreinterpretq_s8_m128i(b)));
+#else
+ int8x8_t a1 =
+ vreinterpret_s8_s16(vget_high_s16(vreinterpretq_s16_m128i(a)));
+ int8x8_t b1 =
+ vreinterpret_s8_s16(vget_high_s16(vreinterpretq_s16_m128i(b)));
+ int8x8x2_t result = vzip_s8(a1, b1);
+ return vreinterpretq_m128i_s8(vcombine_s8(result.val[0], result.val[1]));
+#endif
+}
+
+// Interleaves the upper 4 signed or unsigned 16-bit integers in a with the
+// upper 4 signed or unsigned 16-bit integers in b.
+//
+// r0 := a4
+// r1 := b4
+// r2 := a5
+// r3 := b5
+// r4 := a6
+// r5 := b6
+// r6 := a7
+// r7 := b7
+//
+// https://msdn.microsoft.com/en-us/library/03196cz7(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_unpackhi_epi16(__m128i a, __m128i b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128i_s16(
+ vzip2q_s16(vreinterpretq_s16_m128i(a), vreinterpretq_s16_m128i(b)));
+#else
+ int16x4_t a1 = vget_high_s16(vreinterpretq_s16_m128i(a));
+ int16x4_t b1 = vget_high_s16(vreinterpretq_s16_m128i(b));
+ int16x4x2_t result = vzip_s16(a1, b1);
+ return vreinterpretq_m128i_s16(vcombine_s16(result.val[0], result.val[1]));
+#endif
+}
+
+// Interleaves the upper 2 signed or unsigned 32-bit integers in a with the
+// upper 2 signed or unsigned 32-bit integers in b.
+// https://msdn.microsoft.com/en-us/library/65sa7cbs(v=vs.100).aspx
+FORCE_INLINE __m128i _mm_unpackhi_epi32(__m128i a, __m128i b)
+{
+#if defined(__aarch64__)
+ return vreinterpretq_m128i_s32(
+ vzip2q_s32(vreinterpretq_s32_m128i(a), vreinterpretq_s32_m128i(b)));
+#else
+ int32x2_t a1 = vget_high_s32(vreinterpretq_s32_m128i(a));
+ int32x2_t b1 = vget_high_s32(vreinterpretq_s32_m128i(b));
+ int32x2x2_t result = vzip_s32(a1, b1);
+ return vreinterpretq_m128i_s32(vcombine_s32(result.val[0], result.val[1]));
+#endif
+}
+
+// Interleaves the upper signed or unsigned 64-bit integer in a with the
+// upper signed or unsigned 64-bit integer in b.
+//
+// r0 := a1
+// r1 := b1
+FORCE_INLINE __m128i _mm_unpackhi_epi64(__m128i a, __m128i b)
+{
+ int64x1_t a_h = vget_high_s64(vreinterpretq_s64_m128i(a));
+ int64x1_t b_h = vget_high_s64(vreinterpretq_s64_m128i(b));
+ return vreinterpretq_m128i_s64(vcombine_s64(a_h, b_h));
+}
+
+// Horizontally compute the minimum amongst the packed unsigned 16-bit integers
+// in a, store the minimum and index in dst, and zero the remaining bits in dst.
+//
+// index[2:0] := 0
+// min[15:0] := a[15:0]
+// FOR j := 0 to 7
+// i := j*16
+// IF a[i+15:i] < min[15:0]
+// index[2:0] := j
+// min[15:0] := a[i+15:i]
+// FI
+// ENDFOR
+// dst[15:0] := min[15:0]
+// dst[18:16] := index[2:0]
+// dst[127:19] := 0
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_minpos_epu16
+FORCE_INLINE __m128i _mm_minpos_epu16(__m128i a)
+{
+ __m128i dst;
+ uint16_t min, idx = 0;
+ // Find the minimum value
+#if defined(__aarch64__)
+ min = vminvq_u16(vreinterpretq_u16_m128i(a));
+#else
+ __m64 tmp;
+ tmp = vreinterpret_m64_u16(
+ vmin_u16(vget_low_u16(vreinterpretq_u16_m128i(a)),
+ vget_high_u16(vreinterpretq_u16_m128i(a))));
+ tmp = vreinterpret_m64_u16(
+ vpmin_u16(vreinterpret_u16_m64(tmp), vreinterpret_u16_m64(tmp)));
+ tmp = vreinterpret_m64_u16(
+ vpmin_u16(vreinterpret_u16_m64(tmp), vreinterpret_u16_m64(tmp)));
+ min = vget_lane_u16(vreinterpret_u16_m64(tmp), 0);
+#endif
+ // Get the index of the minimum value
+ int i;
+ for (i = 0; i < 8; i++) {
+ if (min == vgetq_lane_u16(vreinterpretq_u16_m128i(a), 0)) {
+ idx = (uint16_t) i;
+ break;
+ }
+ a = _mm_srli_si128(a, 2);
+ }
+ // Generate result
+ dst = _mm_setzero_si128();
+ dst = vreinterpretq_m128i_u16(
+ vsetq_lane_u16(min, vreinterpretq_u16_m128i(dst), 0));
+ dst = vreinterpretq_m128i_u16(
+ vsetq_lane_u16(idx, vreinterpretq_u16_m128i(dst), 1));
+ return dst;
+}
+
+// Compute the bitwise AND of 128 bits (representing integer data) in a and b,
+// and set ZF to 1 if the result is zero, otherwise set ZF to 0. Compute the
+// bitwise NOT of a and then AND with b, and set CF to 1 if the result is zero,
+// otherwise set CF to 0. Return the CF value.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_testc_si128
+FORCE_INLINE int _mm_testc_si128(__m128i a, __m128i b)
+{
+ int64x2_t s64 =
+ vandq_s64(vreinterpretq_s64_s32(vmvnq_s32(vreinterpretq_s32_m128i(a))),
+ vreinterpretq_s64_m128i(b));
+ return !(vgetq_lane_s64(s64, 0) | vgetq_lane_s64(s64, 1));
+}
+
+// Compute the bitwise AND of 128 bits (representing integer data) in a and b,
+// and set ZF to 1 if the result is zero, otherwise set ZF to 0. Compute the
+// bitwise NOT of a and then AND with b, and set CF to 1 if the result is zero,
+// otherwise set CF to 0. Return the ZF value.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_testz_si128
+FORCE_INLINE int _mm_testz_si128(__m128i a, __m128i b)
+{
+ int64x2_t s64 =
+ vandq_s64(vreinterpretq_s64_m128i(a), vreinterpretq_s64_m128i(b));
+ return !(vgetq_lane_s64(s64, 0) | vgetq_lane_s64(s64, 1));
+}
+
+// Extracts the selected signed or unsigned 8-bit integer from a and zero
+// extends.
+// FORCE_INLINE int _mm_extract_epi8(__m128i a, __constrange(0,16) int imm)
+#define _mm_extract_epi8(a, imm) vgetq_lane_u8(vreinterpretq_u8_m128i(a), (imm))
+
+// Inserts the least significant 8 bits of b into the selected 8-bit integer
+// of a.
+// FORCE_INLINE __m128i _mm_insert_epi8(__m128i a, int b,
+// __constrange(0,16) int imm)
+#define _mm_insert_epi8(a, b, imm) \
+ __extension__({ \
+ vreinterpretq_m128i_s8( \
+ vsetq_lane_s8((b), vreinterpretq_s8_m128i(a), (imm))); \
+ })
+
+// Extracts the selected signed or unsigned 16-bit integer from a and zero
+// extends.
+// https://msdn.microsoft.com/en-us/library/6dceta0c(v=vs.100).aspx
+// FORCE_INLINE int _mm_extract_epi16(__m128i a, __constrange(0,8) int imm)
+#define _mm_extract_epi16(a, imm) \
+ vgetq_lane_u16(vreinterpretq_u16_m128i(a), (imm))
+
+// Inserts the least significant 16 bits of b into the selected 16-bit integer
+// of a.
+// https://msdn.microsoft.com/en-us/library/kaze8hz1%28v=vs.100%29.aspx
+// FORCE_INLINE __m128i _mm_insert_epi16(__m128i a, int b,
+// __constrange(0,8) int imm)
+#define _mm_insert_epi16(a, b, imm) \
+ __extension__({ \
+ vreinterpretq_m128i_s16( \
+ vsetq_lane_s16((b), vreinterpretq_s16_m128i(a), (imm))); \
+ })
+
+// Copy a to dst, and insert the 16-bit integer i into dst at the location
+// specified by imm8.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_insert_pi16
+#define _mm_insert_pi16(a, b, imm) \
+ __extension__({ \
+ vreinterpret_m64_s16( \
+ vset_lane_s16((b), vreinterpret_s16_m64(a), (imm))); \
+ })
+
+// Extracts the selected signed or unsigned 32-bit integer from a and zero
+// extends.
+// FORCE_INLINE int _mm_extract_epi32(__m128i a, __constrange(0,4) int imm)
+#define _mm_extract_epi32(a, imm) \
+ vgetq_lane_s32(vreinterpretq_s32_m128i(a), (imm))
+
+// Extracts the selected single-precision (32-bit) floating-point from a.
+// FORCE_INLINE int _mm_extract_ps(__m128 a, __constrange(0,4) int imm)
+#define _mm_extract_ps(a, imm) vgetq_lane_s32(vreinterpretq_s32_m128(a), (imm))
+
+// Inserts the least significant 32 bits of b into the selected 32-bit integer
+// of a.
+// FORCE_INLINE __m128i _mm_insert_epi32(__m128i a, int b,
+// __constrange(0,4) int imm)
+#define _mm_insert_epi32(a, b, imm) \
+ __extension__({ \
+ vreinterpretq_m128i_s32( \
+ vsetq_lane_s32((b), vreinterpretq_s32_m128i(a), (imm))); \
+ })
+
+// Extracts the selected signed or unsigned 64-bit integer from a and zero
+// extends.
+// FORCE_INLINE __int64 _mm_extract_epi64(__m128i a, __constrange(0,2) int imm)
+#define _mm_extract_epi64(a, imm) \
+ vgetq_lane_s64(vreinterpretq_s64_m128i(a), (imm))
+
+// Inserts the least significant 64 bits of b into the selected 64-bit integer
+// of a.
+// FORCE_INLINE __m128i _mm_insert_epi64(__m128i a, __int64 b,
+// __constrange(0,2) int imm)
+#define _mm_insert_epi64(a, b, imm) \
+ __extension__({ \
+ vreinterpretq_m128i_s64( \
+ vsetq_lane_s64((b), vreinterpretq_s64_m128i(a), (imm))); \
+ })
+
+// Count the number of bits set to 1 in unsigned 32-bit integer a, and
+// return that count in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_popcnt_u32
+FORCE_INLINE int _mm_popcnt_u32(unsigned int a)
+{
+#if defined(__aarch64__)
+#if __has_builtin(__builtin_popcount)
+ return __builtin_popcount(a);
+#else
+ return (int) vaddlv_u8(vcnt_u8(vcreate_u8((uint64_t) a)));
+#endif
+#else
+ uint32_t count = 0;
+ uint8x8_t input_val, count8x8_val;
+ uint16x4_t count16x4_val;
+ uint32x2_t count32x2_val;
+
+ input_val = vld1_u8((uint8_t *) &a);
+ count8x8_val = vcnt_u8(input_val);
+ count16x4_val = vpaddl_u8(count8x8_val);
+ count32x2_val = vpaddl_u16(count16x4_val);
+
+ vst1_u32(&count, count32x2_val);
+ return count;
+#endif
+}
+
+// Count the number of bits set to 1 in unsigned 64-bit integer a, and
+// return that count in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_popcnt_u64
+FORCE_INLINE int64_t _mm_popcnt_u64(uint64_t a)
+{
+#if defined(__aarch64__)
+#if __has_builtin(__builtin_popcountll)
+ return __builtin_popcountll(a);
+#else
+ return (int64_t) vaddlv_u8(vcnt_u8(vcreate_u8(a)));
+#endif
+#else
+ uint64_t count = 0;
+ uint8x8_t input_val, count8x8_val;
+ uint16x4_t count16x4_val;
+ uint32x2_t count32x2_val;
+ uint64x1_t count64x1_val;
+
+ input_val = vld1_u8((uint8_t *) &a);
+ count8x8_val = vcnt_u8(input_val);
+ count16x4_val = vpaddl_u8(count8x8_val);
+ count32x2_val = vpaddl_u16(count16x4_val);
+ count64x1_val = vpaddl_u32(count32x2_val);
+ vst1_u64(&count, count64x1_val);
+ return count;
+#endif
+}
+
+// Macro: Transpose the 4x4 matrix formed by the 4 rows of single-precision
+// (32-bit) floating-point elements in row0, row1, row2, and row3, and store the
+// transposed matrix in these vectors (row0 now contains column 0, etc.).
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=MM_TRANSPOSE4_PS
+#define _MM_TRANSPOSE4_PS(row0, row1, row2, row3) \
+ do { \
+ float32x4x2_t ROW01 = vtrnq_f32(row0, row1); \
+ float32x4x2_t ROW23 = vtrnq_f32(row2, row3); \
+ row0 = vcombine_f32(vget_low_f32(ROW01.val[0]), \
+ vget_low_f32(ROW23.val[0])); \
+ row1 = vcombine_f32(vget_low_f32(ROW01.val[1]), \
+ vget_low_f32(ROW23.val[1])); \
+ row2 = vcombine_f32(vget_high_f32(ROW01.val[0]), \
+ vget_high_f32(ROW23.val[0])); \
+ row3 = vcombine_f32(vget_high_f32(ROW01.val[1]), \
+ vget_high_f32(ROW23.val[1])); \
+ } while (0)
+
+/* Crypto Extensions */
+
+#if defined(__ARM_FEATURE_CRYPTO)
+// Wraps vmull_p64
+FORCE_INLINE uint64x2_t _sse2neon_vmull_p64(uint64x1_t _a, uint64x1_t _b)
+{
+ poly64_t a = vget_lane_p64(vreinterpret_p64_u64(_a), 0);
+ poly64_t b = vget_lane_p64(vreinterpret_p64_u64(_b), 0);
+ return vreinterpretq_u64_p128(vmull_p64(a, b));
+}
+#else // ARMv7 polyfill
+// ARMv7/some A64 lacks vmull_p64, but it has vmull_p8.
+//
+// vmull_p8 calculates 8 8-bit->16-bit polynomial multiplies, but we need a
+// 64-bit->128-bit polynomial multiply.
+//
+// It needs some work and is somewhat slow, but it is still faster than all
+// known scalar methods.
+//
+// Algorithm adapted to C from
+// https://www.workofard.com/2017/07/ghash-for-low-end-cores/, which is adapted
+// from "Fast Software Polynomial Multiplication on ARM Processors Using the
+// NEON Engine" by Danilo Camara, Conrado Gouvea, Julio Lopez and Ricardo Dahab
+// (https://hal.inria.fr/hal-01506572)
+static uint64x2_t _sse2neon_vmull_p64(uint64x1_t _a, uint64x1_t _b)
+{
+ poly8x8_t a = vreinterpret_p8_u64(_a);
+ poly8x8_t b = vreinterpret_p8_u64(_b);
+
+ // Masks
+ uint8x16_t k48_32 = vcombine_u8(vcreate_u8(0x0000ffffffffffff),
+ vcreate_u8(0x00000000ffffffff));
+ uint8x16_t k16_00 = vcombine_u8(vcreate_u8(0x000000000000ffff),
+ vcreate_u8(0x0000000000000000));
+
+ // Do the multiplies, rotating with vext to get all combinations
+ uint8x16_t d = vreinterpretq_u8_p16(vmull_p8(a, b)); // D = A0 * B0
+ uint8x16_t e =
+ vreinterpretq_u8_p16(vmull_p8(a, vext_p8(b, b, 1))); // E = A0 * B1
+ uint8x16_t f =
+ vreinterpretq_u8_p16(vmull_p8(vext_p8(a, a, 1), b)); // F = A1 * B0
+ uint8x16_t g =
+ vreinterpretq_u8_p16(vmull_p8(a, vext_p8(b, b, 2))); // G = A0 * B2
+ uint8x16_t h =
+ vreinterpretq_u8_p16(vmull_p8(vext_p8(a, a, 2), b)); // H = A2 * B0
+ uint8x16_t i =
+ vreinterpretq_u8_p16(vmull_p8(a, vext_p8(b, b, 3))); // I = A0 * B3
+ uint8x16_t j =
+ vreinterpretq_u8_p16(vmull_p8(vext_p8(a, a, 3), b)); // J = A3 * B0
+ uint8x16_t k =
+ vreinterpretq_u8_p16(vmull_p8(a, vext_p8(b, b, 4))); // L = A0 * B4
+
+ // Add cross products
+ uint8x16_t l = veorq_u8(e, f); // L = E + F
+ uint8x16_t m = veorq_u8(g, h); // M = G + H
+ uint8x16_t n = veorq_u8(i, j); // N = I + J
+
+ // Interleave. Using vzip1 and vzip2 prevents Clang from emitting TBL
+ // instructions.
+#if defined(__aarch64__)
+ uint8x16_t lm_p0 = vreinterpretq_u8_u64(
+ vzip1q_u64(vreinterpretq_u64_u8(l), vreinterpretq_u64_u8(m)));
+ uint8x16_t lm_p1 = vreinterpretq_u8_u64(
+ vzip2q_u64(vreinterpretq_u64_u8(l), vreinterpretq_u64_u8(m)));
+ uint8x16_t nk_p0 = vreinterpretq_u8_u64(
+ vzip1q_u64(vreinterpretq_u64_u8(n), vreinterpretq_u64_u8(k)));
+ uint8x16_t nk_p1 = vreinterpretq_u8_u64(
+ vzip2q_u64(vreinterpretq_u64_u8(n), vreinterpretq_u64_u8(k)));
+#else
+ uint8x16_t lm_p0 = vcombine_u8(vget_low_u8(l), vget_low_u8(m));
+ uint8x16_t lm_p1 = vcombine_u8(vget_high_u8(l), vget_high_u8(m));
+ uint8x16_t nk_p0 = vcombine_u8(vget_low_u8(n), vget_low_u8(k));
+ uint8x16_t nk_p1 = vcombine_u8(vget_high_u8(n), vget_high_u8(k));
+#endif
+ // t0 = (L) (P0 + P1) << 8
+ // t1 = (M) (P2 + P3) << 16
+ uint8x16_t t0t1_tmp = veorq_u8(lm_p0, lm_p1);
+ uint8x16_t t0t1_h = vandq_u8(lm_p1, k48_32);
+ uint8x16_t t0t1_l = veorq_u8(t0t1_tmp, t0t1_h);
+
+ // t2 = (N) (P4 + P5) << 24
+ // t3 = (K) (P6 + P7) << 32
+ uint8x16_t t2t3_tmp = veorq_u8(nk_p0, nk_p1);
+ uint8x16_t t2t3_h = vandq_u8(nk_p1, k16_00);
+ uint8x16_t t2t3_l = veorq_u8(t2t3_tmp, t2t3_h);
+
+ // De-interleave
+#if defined(__aarch64__)
+ uint8x16_t t0 = vreinterpretq_u8_u64(
+ vuzp1q_u64(vreinterpretq_u64_u8(t0t1_l), vreinterpretq_u64_u8(t0t1_h)));
+ uint8x16_t t1 = vreinterpretq_u8_u64(
+ vuzp2q_u64(vreinterpretq_u64_u8(t0t1_l), vreinterpretq_u64_u8(t0t1_h)));
+ uint8x16_t t2 = vreinterpretq_u8_u64(
+ vuzp1q_u64(vreinterpretq_u64_u8(t2t3_l), vreinterpretq_u64_u8(t2t3_h)));
+ uint8x16_t t3 = vreinterpretq_u8_u64(
+ vuzp2q_u64(vreinterpretq_u64_u8(t2t3_l), vreinterpretq_u64_u8(t2t3_h)));
+#else
+ uint8x16_t t1 = vcombine_u8(vget_high_u8(t0t1_l), vget_high_u8(t0t1_h));
+ uint8x16_t t0 = vcombine_u8(vget_low_u8(t0t1_l), vget_low_u8(t0t1_h));
+ uint8x16_t t3 = vcombine_u8(vget_high_u8(t2t3_l), vget_high_u8(t2t3_h));
+ uint8x16_t t2 = vcombine_u8(vget_low_u8(t2t3_l), vget_low_u8(t2t3_h));
+#endif
+ // Shift the cross products
+ uint8x16_t t0_shift = vextq_u8(t0, t0, 15); // t0 << 8
+ uint8x16_t t1_shift = vextq_u8(t1, t1, 14); // t1 << 16
+ uint8x16_t t2_shift = vextq_u8(t2, t2, 13); // t2 << 24
+ uint8x16_t t3_shift = vextq_u8(t3, t3, 12); // t3 << 32
+
+ // Accumulate the products
+ uint8x16_t cross1 = veorq_u8(t0_shift, t1_shift);
+ uint8x16_t cross2 = veorq_u8(t2_shift, t3_shift);
+ uint8x16_t mix = veorq_u8(d, cross1);
+ uint8x16_t r = veorq_u8(mix, cross2);
+ return vreinterpretq_u64_u8(r);
+}
+#endif // ARMv7 polyfill
+
+// Perform a carry-less multiplication of two 64-bit integers, selected from a
+// and b according to imm8, and store the results in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_clmulepi64_si128
+FORCE_INLINE __m128i _mm_clmulepi64_si128(__m128i _a, __m128i _b, const int imm)
+{
+ uint64x2_t a = vreinterpretq_u64_m128i(_a);
+ uint64x2_t b = vreinterpretq_u64_m128i(_b);
+ switch (imm & 0x11) {
+ case 0x00:
+ return vreinterpretq_m128i_u64(
+ _sse2neon_vmull_p64(vget_low_u64(a), vget_low_u64(b)));
+ case 0x01:
+ return vreinterpretq_m128i_u64(
+ _sse2neon_vmull_p64(vget_high_u64(a), vget_low_u64(b)));
+ case 0x10:
+ return vreinterpretq_m128i_u64(
+ _sse2neon_vmull_p64(vget_low_u64(a), vget_high_u64(b)));
+ case 0x11:
+ return vreinterpretq_m128i_u64(
+ _sse2neon_vmull_p64(vget_high_u64(a), vget_high_u64(b)));
+ default:
+ abort();
+ }
+}
+
+#if !defined(__ARM_FEATURE_CRYPTO)
+/* clang-format off */
+#define SSE2NEON_AES_DATA(w) \
+ { \
+ w(0x63), w(0x7c), w(0x77), w(0x7b), w(0xf2), w(0x6b), w(0x6f), \
+ w(0xc5), w(0x30), w(0x01), w(0x67), w(0x2b), w(0xfe), w(0xd7), \
+ w(0xab), w(0x76), w(0xca), w(0x82), w(0xc9), w(0x7d), w(0xfa), \
+ w(0x59), w(0x47), w(0xf0), w(0xad), w(0xd4), w(0xa2), w(0xaf), \
+ w(0x9c), w(0xa4), w(0x72), w(0xc0), w(0xb7), w(0xfd), w(0x93), \
+ w(0x26), w(0x36), w(0x3f), w(0xf7), w(0xcc), w(0x34), w(0xa5), \
+ w(0xe5), w(0xf1), w(0x71), w(0xd8), w(0x31), w(0x15), w(0x04), \
+ w(0xc7), w(0x23), w(0xc3), w(0x18), w(0x96), w(0x05), w(0x9a), \
+ w(0x07), w(0x12), w(0x80), w(0xe2), w(0xeb), w(0x27), w(0xb2), \
+ w(0x75), w(0x09), w(0x83), w(0x2c), w(0x1a), w(0x1b), w(0x6e), \
+ w(0x5a), w(0xa0), w(0x52), w(0x3b), w(0xd6), w(0xb3), w(0x29), \
+ w(0xe3), w(0x2f), w(0x84), w(0x53), w(0xd1), w(0x00), w(0xed), \
+ w(0x20), w(0xfc), w(0xb1), w(0x5b), w(0x6a), w(0xcb), w(0xbe), \
+ w(0x39), w(0x4a), w(0x4c), w(0x58), w(0xcf), w(0xd0), w(0xef), \
+ w(0xaa), w(0xfb), w(0x43), w(0x4d), w(0x33), w(0x85), w(0x45), \
+ w(0xf9), w(0x02), w(0x7f), w(0x50), w(0x3c), w(0x9f), w(0xa8), \
+ w(0x51), w(0xa3), w(0x40), w(0x8f), w(0x92), w(0x9d), w(0x38), \
+ w(0xf5), w(0xbc), w(0xb6), w(0xda), w(0x21), w(0x10), w(0xff), \
+ w(0xf3), w(0xd2), w(0xcd), w(0x0c), w(0x13), w(0xec), w(0x5f), \
+ w(0x97), w(0x44), w(0x17), w(0xc4), w(0xa7), w(0x7e), w(0x3d), \
+ w(0x64), w(0x5d), w(0x19), w(0x73), w(0x60), w(0x81), w(0x4f), \
+ w(0xdc), w(0x22), w(0x2a), w(0x90), w(0x88), w(0x46), w(0xee), \
+ w(0xb8), w(0x14), w(0xde), w(0x5e), w(0x0b), w(0xdb), w(0xe0), \
+ w(0x32), w(0x3a), w(0x0a), w(0x49), w(0x06), w(0x24), w(0x5c), \
+ w(0xc2), w(0xd3), w(0xac), w(0x62), w(0x91), w(0x95), w(0xe4), \
+ w(0x79), w(0xe7), w(0xc8), w(0x37), w(0x6d), w(0x8d), w(0xd5), \
+ w(0x4e), w(0xa9), w(0x6c), w(0x56), w(0xf4), w(0xea), w(0x65), \
+ w(0x7a), w(0xae), w(0x08), w(0xba), w(0x78), w(0x25), w(0x2e), \
+ w(0x1c), w(0xa6), w(0xb4), w(0xc6), w(0xe8), w(0xdd), w(0x74), \
+ w(0x1f), w(0x4b), w(0xbd), w(0x8b), w(0x8a), w(0x70), w(0x3e), \
+ w(0xb5), w(0x66), w(0x48), w(0x03), w(0xf6), w(0x0e), w(0x61), \
+ w(0x35), w(0x57), w(0xb9), w(0x86), w(0xc1), w(0x1d), w(0x9e), \
+ w(0xe1), w(0xf8), w(0x98), w(0x11), w(0x69), w(0xd9), w(0x8e), \
+ w(0x94), w(0x9b), w(0x1e), w(0x87), w(0xe9), w(0xce), w(0x55), \
+ w(0x28), w(0xdf), w(0x8c), w(0xa1), w(0x89), w(0x0d), w(0xbf), \
+ w(0xe6), w(0x42), w(0x68), w(0x41), w(0x99), w(0x2d), w(0x0f), \
+ w(0xb0), w(0x54), w(0xbb), w(0x16) \
+ }
+/* clang-format on */
+
+/* X Macro trick. See https://en.wikipedia.org/wiki/X_Macro */
+#define SSE2NEON_AES_H0(x) (x)
+static const uint8_t SSE2NEON_sbox[256] = SSE2NEON_AES_DATA(SSE2NEON_AES_H0);
+#undef SSE2NEON_AES_H0
+
+// In the absence of crypto extensions, implement aesenc using regular neon
+// intrinsics instead. See:
+// https://www.workofard.com/2017/01/accelerated-aes-for-the-arm64-linux-kernel/
+// https://www.workofard.com/2017/07/ghash-for-low-end-cores/ and
+// https://github.com/ColinIanKing/linux-next-mirror/blob/b5f466091e130caaf0735976648f72bd5e09aa84/crypto/aegis128-neon-inner.c#L52
+// for more information Reproduced with permission of the author.
+FORCE_INLINE __m128i _mm_aesenc_si128(__m128i EncBlock, __m128i RoundKey)
+{
+#if defined(__aarch64__)
+ static const uint8_t shift_rows[] = {0x0, 0x5, 0xa, 0xf, 0x4, 0x9,
+ 0xe, 0x3, 0x8, 0xd, 0x2, 0x7,
+ 0xc, 0x1, 0x6, 0xb};
+ static const uint8_t ror32by8[] = {0x1, 0x2, 0x3, 0x0, 0x5, 0x6, 0x7, 0x4,
+ 0x9, 0xa, 0xb, 0x8, 0xd, 0xe, 0xf, 0xc};
+
+ uint8x16_t v;
+ uint8x16_t w = vreinterpretq_u8_m128i(EncBlock);
+
+ // shift rows
+ w = vqtbl1q_u8(w, vld1q_u8(shift_rows));
+
+ // sub bytes
+ v = vqtbl4q_u8(_sse2neon_vld1q_u8_x4(SSE2NEON_sbox), w);
+ v = vqtbx4q_u8(v, _sse2neon_vld1q_u8_x4(SSE2NEON_sbox + 0x40), w - 0x40);
+ v = vqtbx4q_u8(v, _sse2neon_vld1q_u8_x4(SSE2NEON_sbox + 0x80), w - 0x80);
+ v = vqtbx4q_u8(v, _sse2neon_vld1q_u8_x4(SSE2NEON_sbox + 0xc0), w - 0xc0);
+
+ // mix columns
+ w = (v << 1) ^ (uint8x16_t)(((int8x16_t) v >> 7) & 0x1b);
+ w ^= (uint8x16_t) vrev32q_u16((uint16x8_t) v);
+ w ^= vqtbl1q_u8(v ^ w, vld1q_u8(ror32by8));
+
+ // add round key
+ return vreinterpretq_m128i_u8(w) ^ RoundKey;
+
+#else /* ARMv7-A NEON implementation */
+#define SSE2NEON_AES_B2W(b0, b1, b2, b3) \
+ (((uint32_t)(b3) << 24) | ((uint32_t)(b2) << 16) | ((uint32_t)(b1) << 8) | \
+ (b0))
+#define SSE2NEON_AES_F2(x) ((x << 1) ^ (((x >> 7) & 1) * 0x011b /* WPOLY */))
+#define SSE2NEON_AES_F3(x) (SSE2NEON_AES_F2(x) ^ x)
+#define SSE2NEON_AES_U0(p) \
+ SSE2NEON_AES_B2W(SSE2NEON_AES_F2(p), p, p, SSE2NEON_AES_F3(p))
+#define SSE2NEON_AES_U1(p) \
+ SSE2NEON_AES_B2W(SSE2NEON_AES_F3(p), SSE2NEON_AES_F2(p), p, p)
+#define SSE2NEON_AES_U2(p) \
+ SSE2NEON_AES_B2W(p, SSE2NEON_AES_F3(p), SSE2NEON_AES_F2(p), p)
+#define SSE2NEON_AES_U3(p) \
+ SSE2NEON_AES_B2W(p, p, SSE2NEON_AES_F3(p), SSE2NEON_AES_F2(p))
+ static const uint32_t ALIGN_STRUCT(16) aes_table[4][256] = {
+ SSE2NEON_AES_DATA(SSE2NEON_AES_U0),
+ SSE2NEON_AES_DATA(SSE2NEON_AES_U1),
+ SSE2NEON_AES_DATA(SSE2NEON_AES_U2),
+ SSE2NEON_AES_DATA(SSE2NEON_AES_U3),
+ };
+#undef SSE2NEON_AES_B2W
+#undef SSE2NEON_AES_F2
+#undef SSE2NEON_AES_F3
+#undef SSE2NEON_AES_U0
+#undef SSE2NEON_AES_U1
+#undef SSE2NEON_AES_U2
+#undef SSE2NEON_AES_U3
+
+ uint32_t x0 = _mm_cvtsi128_si32(EncBlock);
+ uint32_t x1 = _mm_cvtsi128_si32(_mm_shuffle_epi32(EncBlock, 0x55));
+ uint32_t x2 = _mm_cvtsi128_si32(_mm_shuffle_epi32(EncBlock, 0xAA));
+ uint32_t x3 = _mm_cvtsi128_si32(_mm_shuffle_epi32(EncBlock, 0xFF));
+
+ __m128i out = _mm_set_epi32(
+ (aes_table[0][x3 & 0xff] ^ aes_table[1][(x0 >> 8) & 0xff] ^
+ aes_table[2][(x1 >> 16) & 0xff] ^ aes_table[3][x2 >> 24]),
+ (aes_table[0][x2 & 0xff] ^ aes_table[1][(x3 >> 8) & 0xff] ^
+ aes_table[2][(x0 >> 16) & 0xff] ^ aes_table[3][x1 >> 24]),
+ (aes_table[0][x1 & 0xff] ^ aes_table[1][(x2 >> 8) & 0xff] ^
+ aes_table[2][(x3 >> 16) & 0xff] ^ aes_table[3][x0 >> 24]),
+ (aes_table[0][x0 & 0xff] ^ aes_table[1][(x1 >> 8) & 0xff] ^
+ aes_table[2][(x2 >> 16) & 0xff] ^ aes_table[3][x3 >> 24]));
+
+ return _mm_xor_si128(out, RoundKey);
+#endif
+}
+
+// Perform the last round of an AES encryption flow on data (state) in a using
+// the round key in RoundKey, and store the result in dst.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_aesenclast_si128
+FORCE_INLINE __m128i _mm_aesenclast_si128(__m128i a, __m128i RoundKey)
+{
+ /* FIXME: optimized for NEON */
+ uint8_t v[4][4] = {
+ [0] = {SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 0)],
+ SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 5)],
+ SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 10)],
+ SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 15)]},
+ [1] = {SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 4)],
+ SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 9)],
+ SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 14)],
+ SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 3)]},
+ [2] = {SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 8)],
+ SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 13)],
+ SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 2)],
+ SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 7)]},
+ [3] = {SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 12)],
+ SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 1)],
+ SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 6)],
+ SSE2NEON_sbox[vreinterpretq_nth_u8_m128i(a, 11)]},
+ };
+ for (int i = 0; i < 16; i++)
+ vreinterpretq_nth_u8_m128i(a, i) =
+ v[i / 4][i % 4] ^ vreinterpretq_nth_u8_m128i(RoundKey, i);
+ return a;
+}
+
+// Emits the Advanced Encryption Standard (AES) instruction aeskeygenassist.
+// This instruction generates a round key for AES encryption. See
+// https://kazakov.life/2017/11/01/cryptocurrency-mining-on-ios-devices/
+// for details.
+//
+// https://msdn.microsoft.com/en-us/library/cc714138(v=vs.120).aspx
+FORCE_INLINE __m128i _mm_aeskeygenassist_si128(__m128i key, const int rcon)
+{
+ uint32_t X1 = _mm_cvtsi128_si32(_mm_shuffle_epi32(key, 0x55));
+ uint32_t X3 = _mm_cvtsi128_si32(_mm_shuffle_epi32(key, 0xFF));
+ for (int i = 0; i < 4; ++i) {
+ ((uint8_t *) &X1)[i] = SSE2NEON_sbox[((uint8_t *) &X1)[i]];
+ ((uint8_t *) &X3)[i] = SSE2NEON_sbox[((uint8_t *) &X3)[i]];
+ }
+ return _mm_set_epi32(((X3 >> 8) | (X3 << 24)) ^ rcon, X3,
+ ((X1 >> 8) | (X1 << 24)) ^ rcon, X1);
+}
+#undef SSE2NEON_AES_DATA
+
+#else /* __ARM_FEATURE_CRYPTO */
+// Implements equivalent of 'aesenc' by combining AESE (with an empty key) and
+// AESMC and then manually applying the real key as an xor operation. This
+// unfortunately means an additional xor op; the compiler should be able to
+// optimize this away for repeated calls however. See
+// https://blog.michaelbrase.com/2018/05/08/emulating-x86-aes-intrinsics-on-armv8-a
+// for more details.
+FORCE_INLINE __m128i _mm_aesenc_si128(__m128i a, __m128i b)
+{
+ return vreinterpretq_m128i_u8(
+ vaesmcq_u8(vaeseq_u8(vreinterpretq_u8_m128i(a), vdupq_n_u8(0))) ^
+ vreinterpretq_u8_m128i(b));
+}
+
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_aesenclast_si128
+FORCE_INLINE __m128i _mm_aesenclast_si128(__m128i a, __m128i RoundKey)
+{
+ return _mm_xor_si128(vreinterpretq_m128i_u8(vaeseq_u8(
+ vreinterpretq_u8_m128i(a), vdupq_n_u8(0))),
+ RoundKey);
+}
+
+FORCE_INLINE __m128i _mm_aeskeygenassist_si128(__m128i a, const int rcon)
+{
+ // AESE does ShiftRows and SubBytes on A
+ uint8x16_t u8 = vaeseq_u8(vreinterpretq_u8_m128i(a), vdupq_n_u8(0));
+
+ uint8x16_t dest = {
+ // Undo ShiftRows step from AESE and extract X1 and X3
+ u8[0x4], u8[0x1], u8[0xE], u8[0xB], // SubBytes(X1)
+ u8[0x1], u8[0xE], u8[0xB], u8[0x4], // ROT(SubBytes(X1))
+ u8[0xC], u8[0x9], u8[0x6], u8[0x3], // SubBytes(X3)
+ u8[0x9], u8[0x6], u8[0x3], u8[0xC], // ROT(SubBytes(X3))
+ };
+ uint32x4_t r = {0, (unsigned) rcon, 0, (unsigned) rcon};
+ return vreinterpretq_m128i_u8(dest) ^ vreinterpretq_m128i_u32(r);
+}
+#endif
+
+/* Streaming Extensions */
+
+// Guarantees that every preceding store is globally visible before any
+// subsequent store.
+// https://msdn.microsoft.com/en-us/library/5h2w73d1%28v=vs.90%29.aspx
+FORCE_INLINE void _mm_sfence(void)
+{
+ __sync_synchronize();
+}
+
+// Store 128-bits (composed of 4 packed single-precision (32-bit) floating-
+// point elements) from a into memory using a non-temporal memory hint.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_stream_ps
+FORCE_INLINE void _mm_stream_ps(float *p, __m128 a)
+{
+#if __has_builtin(__builtin_nontemporal_store)
+ __builtin_nontemporal_store(a, (float32x4_t *) p);
+#else
+ vst1q_f32(p, vreinterpretq_f32_m128(a));
+#endif
+}
+
+// Stores the data in a to the address p without polluting the caches. If the
+// cache line containing address p is already in the cache, the cache will be
+// updated.
+// https://msdn.microsoft.com/en-us/library/ba08y07y%28v=vs.90%29.aspx
+FORCE_INLINE void _mm_stream_si128(__m128i *p, __m128i a)
+{
+#if __has_builtin(__builtin_nontemporal_store)
+ __builtin_nontemporal_store(a, p);
+#else
+ vst1q_s64((int64_t *) p, vreinterpretq_s64_m128i(a));
+#endif
+}
+
+// Load 128-bits of integer data from memory into dst using a non-temporal
+// memory hint. mem_addr must be aligned on a 16-byte boundary or a
+// general-protection exception may be generated.
+//
+// dst[127:0] := MEM[mem_addr+127:mem_addr]
+//
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_stream_load_si128
+FORCE_INLINE __m128i _mm_stream_load_si128(__m128i *p)
+{
+#if __has_builtin(__builtin_nontemporal_store)
+ return __builtin_nontemporal_load(p);
+#else
+ return vreinterpretq_m128i_s64(vld1q_s64((int64_t *) p));
+#endif
+}
+
+// Cache line containing p is flushed and invalidated from all caches in the
+// coherency domain. :
+// https://msdn.microsoft.com/en-us/library/ba08y07y(v=vs.100).aspx
+FORCE_INLINE void _mm_clflush(void const *p)
+{
+ (void) p;
+ // no corollary for Neon?
+}
+
+// Allocate aligned blocks of memory.
+// https://software.intel.com/en-us/
+// cpp-compiler-developer-guide-and-reference-allocating-and-freeing-aligned-memory-blocks
+FORCE_INLINE void *_mm_malloc(size_t size, size_t align)
+{
+ void *ptr;
+ if (align == 1)
+ return malloc(size);
+ if (align == 2 || (sizeof(void *) == 8 && align == 4))
+ align = sizeof(void *);
+ if (!posix_memalign(&ptr, align, size))
+ return ptr;
+ return NULL;
+}
+
+// Free aligned memory that was allocated with _mm_malloc.
+// https://software.intel.com/sites/landingpage/IntrinsicsGuide/#text=_mm_free
+FORCE_INLINE void _mm_free(void *addr)
+{
+ free(addr);
+}
+
+// Starting with the initial value in crc, accumulates a CRC32 value for
+// unsigned 8-bit integer v.
+// https://msdn.microsoft.com/en-us/library/bb514036(v=vs.100)
+FORCE_INLINE uint32_t _mm_crc32_u8(uint32_t crc, uint8_t v)
+{
+#if defined(__aarch64__) && defined(__ARM_FEATURE_CRC32)
+ __asm__ __volatile__("crc32cb %w[c], %w[c], %w[v]\n\t"
+ : [c] "+r"(crc)
+ : [v] "r"(v));
+#else
+ crc ^= v;
+ for (int bit = 0; bit < 8; bit++) {
+ if (crc & 1)
+ crc = (crc >> 1) ^ UINT32_C(0x82f63b78);
+ else
+ crc = (crc >> 1);
+ }
+#endif
+ return crc;
+}
+
+// Starting with the initial value in crc, accumulates a CRC32 value for
+// unsigned 16-bit integer v.
+// https://msdn.microsoft.com/en-us/library/bb531411(v=vs.100)
+FORCE_INLINE uint32_t _mm_crc32_u16(uint32_t crc, uint16_t v)
+{
+#if defined(__aarch64__) && defined(__ARM_FEATURE_CRC32)
+ __asm__ __volatile__("crc32ch %w[c], %w[c], %w[v]\n\t"
+ : [c] "+r"(crc)
+ : [v] "r"(v));
+#else
+ crc = _mm_crc32_u8(crc, v & 0xff);
+ crc = _mm_crc32_u8(crc, (v >> 8) & 0xff);
+#endif
+ return crc;
+}
+
+// Starting with the initial value in crc, accumulates a CRC32 value for
+// unsigned 32-bit integer v.
+// https://msdn.microsoft.com/en-us/library/bb531394(v=vs.100)
+FORCE_INLINE uint32_t _mm_crc32_u32(uint32_t crc, uint32_t v)
+{
+#if defined(__aarch64__) && defined(__ARM_FEATURE_CRC32)
+ __asm__ __volatile__("crc32cw %w[c], %w[c], %w[v]\n\t"
+ : [c] "+r"(crc)
+ : [v] "r"(v));
+#else
+ crc = _mm_crc32_u16(crc, v & 0xffff);
+ crc = _mm_crc32_u16(crc, (v >> 16) & 0xffff);
+#endif
+ return crc;
+}
+
+// Starting with the initial value in crc, accumulates a CRC32 value for
+// unsigned 64-bit integer v.
+// https://msdn.microsoft.com/en-us/library/bb514033(v=vs.100)
+FORCE_INLINE uint64_t _mm_crc32_u64(uint64_t crc, uint64_t v)
+{
+#if defined(__aarch64__) && defined(__ARM_FEATURE_CRC32)
+ __asm__ __volatile__("crc32cx %w[c], %w[c], %x[v]\n\t"
+ : [c] "+r"(crc)
+ : [v] "r"(v));
+#else
+ crc = _mm_crc32_u32((uint32_t)(crc), v & 0xffffffff);
+ crc = _mm_crc32_u32((uint32_t)(crc), (v >> 32) & 0xffffffff);
+#endif
+ return crc;
+}
+
+#if defined(__GNUC__) || defined(__clang__)
+#pragma pop_macro("ALIGN_STRUCT")
+#pragma pop_macro("FORCE_INLINE")
+#endif
+
+#if defined(__GNUC__) && !defined(__clang__)
+#pragma GCC pop_options
+#endif
+
+#endif