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sse2neon.h
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#ifndef SSE2NEON_H
#define SSE2NEON_H
/*
* sse2neon is freely redistributable under the MIT License.
*
* Copyright (c) 2015-2024 SSE2NEON Contributors.
*
* 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.
*/
// This header file provides a simple API translation layer
// between SSE intrinsics to their corresponding Arm/Aarch64 NEON versions
//
// Contributors to this work are:
// John W. Ratcliff <[email protected]>
// Brandon Rowlett <[email protected]>
// Ken Fast <[email protected]>
// Eric van Beurden <[email protected]>
// Alexander Potylitsin <[email protected]>
// Hasindu Gamaarachchi <[email protected]>
// Jim Huang <[email protected]>
// Mark Cheng <[email protected]>
// Malcolm James MacLeod <[email protected]>
// Devin Hussey (easyaspi314) <[email protected]>
// Sebastian Pop <[email protected]>
// Developer Ecosystem Engineering <[email protected]>
// Danila Kutenin <[email protected]>
// François Turban (JishinMaster) <[email protected]>
// Pei-Hsuan Hung <[email protected]>
// Yang-Hao Yuan <[email protected]>
// Syoyo Fujita <[email protected]>
// Brecht Van Lommel <[email protected]>
// Jonathan Hue <[email protected]>
// Cuda Chen <[email protected]>
// Aymen Qader <[email protected]>
// Anthony Roberts <[email protected]>
/* Tunable configurations */
/* Enable precise implementation of math operations
* This would slow down the computation a bit, but gives consistent result with
* x86 SSE. (e.g. would solve a hole or NaN pixel in the rendering result)
*/
/* _mm_min|max_ps|ss|pd|sd */
#ifndef SSE2NEON_PRECISE_MINMAX
#define SSE2NEON_PRECISE_MINMAX (0)
#endif
/* _mm_rcp_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
/* _mm_dp_pd */
#ifndef SSE2NEON_PRECISE_DP
#define SSE2NEON_PRECISE_DP (0)
#endif
/* Enable inclusion of windows.h on MSVC platforms
* This makes _mm_clflush functional on windows, as there is no builtin.
*/
#ifndef SSE2NEON_INCLUDE_WINDOWS_H
#define SSE2NEON_INCLUDE_WINDOWS_H (0)
#endif
/* compiler specific definitions */
#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)))
#define _sse2neon_likely(x) __builtin_expect(!!(x), 1)
#define _sse2neon_unlikely(x) __builtin_expect(!!(x), 0)
#elif defined(_MSC_VER)
#if _MSVC_TRADITIONAL
#error Using the traditional MSVC preprocessor is not supported! Use /Zc:preprocessor instead.
#endif
#ifndef FORCE_INLINE
#define FORCE_INLINE static inline
#endif
#ifndef ALIGN_STRUCT
#define ALIGN_STRUCT(x) __declspec(align(x))
#endif
#define _sse2neon_likely(x) (x)
#define _sse2neon_unlikely(x) (x)
#else
#pragma message("Macro name collisions may happen with unsupported compilers.")
#endif
#if !defined(__clang__) && defined(__GNUC__) && __GNUC__ < 10
#warning "GCC versions earlier than 10 are not supported."
#endif
#if defined(__OPTIMIZE__) && !defined(SSE2NEON_SUPPRESS_WARNINGS)
#warning \
"Report any potential compiler optimization issues when using SSE2NEON. See the 'Optimization' section at https://github.com/DLTcollab/sse2neon."
#endif
/* C language does not allow initializing a variable with a function call. */
#ifdef __cplusplus
#define _sse2neon_const static const
#else
#define _sse2neon_const const
#endif
#include <fenv.h>
#include <stdint.h>
#include <stdlib.h>
#include <string.h>
FORCE_INLINE double sse2neon_recast_u64_f64(uint64_t u64)
{
double f64;
memcpy(&f64, &u64, sizeof(uint64_t));
return f64;
}
FORCE_INLINE int64_t sse2neon_recast_f64_s64(double f64)
{
int64_t i64;
memcpy(&i64, &f64, sizeof(uint64_t));
return i64;
}
#if defined(_WIN32)
/* Definitions for _mm_{malloc,free} are provided by <malloc.h>
* from both MinGW-w64 and MSVC.
*/
#define SSE2NEON_ALLOC_DEFINED
#endif
/* If using MSVC */
#ifdef _MSC_VER
#include <intrin.h>
#if SSE2NEON_INCLUDE_WINDOWS_H
#include <processthreadsapi.h>
#include <windows.h>
#endif
#if !defined(__cplusplus)
#error SSE2NEON only supports C++ compilation with this compiler
#endif
#ifdef SSE2NEON_ALLOC_DEFINED
#include <malloc.h>
#endif
#if (defined(_M_AMD64) || defined(__x86_64__)) || \
(defined(_M_ARM64) || defined(__arm64__))
#define SSE2NEON_HAS_BITSCAN64
#endif
#endif
#if defined(__GNUC__) || defined(__clang__)
#define _sse2neon_define0(type, s, body) \
__extension__({ \
type _a = (s); \
body \
})
#define _sse2neon_define1(type, s, body) \
__extension__({ \
type _a = (s); \
body \
})
#define _sse2neon_define2(type, a, b, body) \
__extension__({ \
type _a = (a), _b = (b); \
body \
})
#define _sse2neon_return(ret) (ret)
#else
#define _sse2neon_define0(type, a, body) [=](type _a) { body }(a)
#define _sse2neon_define1(type, a, body) [](type _a) { body }(a)
#define _sse2neon_define2(type, a, b, body) \
[](type _a, type _b) { body }((a), (b))
#define _sse2neon_return(ret) return ret
#endif
#define _sse2neon_init(...) \
{ \
__VA_ARGS__ \
}
/* Compiler barrier */
#if defined(_MSC_VER) && !defined(__clang__)
#define SSE2NEON_BARRIER() _ReadWriteBarrier()
#else
#define SSE2NEON_BARRIER() \
do { \
__asm__ __volatile__("" ::: "memory"); \
(void) 0; \
} while (0)
#endif
/* Memory barriers
* __atomic_thread_fence does not include a compiler barrier; instead,
* the barrier is part of __atomic_load/__atomic_store's "volatile-like"
* semantics.
*/
#if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 201112L)
#include <stdatomic.h>
#endif
FORCE_INLINE void _sse2neon_smp_mb(void)
{
SSE2NEON_BARRIER();
#if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 201112L) && \
!defined(__STDC_NO_ATOMICS__)
atomic_thread_fence(memory_order_seq_cst);
#elif defined(__GNUC__) || defined(__clang__)
__atomic_thread_fence(__ATOMIC_SEQ_CST);
#else /* MSVC */
__dmb(_ARM64_BARRIER_ISH);
#endif
}
/* 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__) || defined(_M_ARM64)
#if !defined(__clang__) && !defined(_MSC_VER)
#pragma GCC push_options
#pragma GCC target("+simd")
#endif
#elif __ARM_ARCH == 8
#if !defined(__ARM_NEON) || !defined(__ARM_NEON__)
#error \
"You must enable NEON instructions (e.g. -mfpu=neon-fp-armv8) to use SSE2NEON."
#endif
#if !defined(__clang__) && !defined(_MSC_VER)
#pragma GCC push_options
#endif
#else
#error \
"Unsupported target. Must be either ARMv7-A+NEON or ARMv8-A \
(you could try setting target explicitly with -march or -mcpu)"
#endif
#endif
#include <arm_neon.h>
#if (!defined(__aarch64__) && !defined(_M_ARM64)) && (__ARM_ARCH == 8)
#if defined __has_include && __has_include(<arm_acle.h>)
#include <arm_acle.h>
#endif
#endif
/* Apple Silicon cache lines are double of what is commonly used by Intel, AMD
* and other Arm microarchitectures use.
* From sysctl -a on Apple M1:
* hw.cachelinesize: 128
*/
#if defined(__APPLE__) && (defined(__aarch64__) || defined(__arm64__))
#define SSE2NEON_CACHELINE_SIZE 128
#else
#define SSE2NEON_CACHELINE_SIZE 64
#endif
/* Rounding functions require either Aarch64 instructions or libm fallback */
#if !defined(__aarch64__) && !defined(_M_ARM64)
#include <math.h>
#endif
/* On ARMv7, some registers, such as PMUSERENR and PMCCNTR, are read-only
* or even not accessible in user mode.
* To write or access to these registers in user mode,
* we have to perform syscall instead.
*/
#if (!defined(__aarch64__) && !defined(_M_ARM64))
#include <sys/time.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 defined(__GNUC__) && (__GNUC__ <= 9)
#define __has_builtin(x) HAS##x
#define HAS__builtin_popcount 1
#define HAS__builtin_popcountll 1
// __builtin_shuffle introduced in GCC 4.7.0
#if (__GNUC__ >= 5) || ((__GNUC__ == 4) && (__GNUC_MINOR__ >= 7))
#define HAS__builtin_shuffle 1
#else
#define HAS__builtin_shuffle 0
#endif
#define HAS__builtin_shufflevector 0
#define HAS__builtin_nontemporal_store 0
#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)))
/**
* MACRO for shuffle parameter for _mm_shuffle_pd().
* Argument fp1 is a digit[01] that represents the fp from argument "b"
* of mm_shuffle_pd that will be placed in fp1 of result.
* fp0 is a digit[01] that represents the fp from argument "a" of mm_shuffle_pd
* that will be placed in fp0 of result.
*/
#define _MM_SHUFFLE2(fp1, fp0) (((fp1) << 1) | (fp0))
#if __has_builtin(__builtin_shufflevector)
#define _sse2neon_shuffle(type, a, b, ...) \
__builtin_shufflevector(a, b, __VA_ARGS__)
#elif __has_builtin(__builtin_shuffle)
#define _sse2neon_shuffle(type, a, b, ...) \
__extension__({ \
type tmp = {__VA_ARGS__}; \
__builtin_shuffle(a, b, tmp); \
})
#endif
#ifdef _sse2neon_shuffle
#define vshuffle_s16(a, b, ...) _sse2neon_shuffle(int16x4_t, a, b, __VA_ARGS__)
#define vshuffleq_s16(a, b, ...) _sse2neon_shuffle(int16x8_t, a, b, __VA_ARGS__)
#define vshuffle_s32(a, b, ...) _sse2neon_shuffle(int32x2_t, a, b, __VA_ARGS__)
#define vshuffleq_s32(a, b, ...) _sse2neon_shuffle(int32x4_t, a, b, __VA_ARGS__)
#define vshuffle_s64(a, b, ...) _sse2neon_shuffle(int64x1_t, a, b, __VA_ARGS__)
#define vshuffleq_s64(a, b, ...) _sse2neon_shuffle(int64x2_t, a, b, __VA_ARGS__)
#endif
/* 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_FROUND_RAISE_EXC 0x00
#define _MM_FROUND_NINT (_MM_FROUND_TO_NEAREST_INT | _MM_FROUND_RAISE_EXC)
#define _MM_FROUND_FLOOR (_MM_FROUND_TO_NEG_INF | _MM_FROUND_RAISE_EXC)
#define _MM_FROUND_CEIL (_MM_FROUND_TO_POS_INF | _MM_FROUND_RAISE_EXC)
#define _MM_FROUND_TRUNC (_MM_FROUND_TO_ZERO | _MM_FROUND_RAISE_EXC)
#define _MM_FROUND_RINT (_MM_FROUND_CUR_DIRECTION | _MM_FROUND_RAISE_EXC)
#define _MM_FROUND_NEARBYINT (_MM_FROUND_CUR_DIRECTION | _MM_FROUND_NO_EXC)
#define _MM_ROUND_NEAREST 0x0000
#define _MM_ROUND_DOWN 0x2000
#define _MM_ROUND_UP 0x4000
#define _MM_ROUND_TOWARD_ZERO 0x6000
/* Flush zero mode macros. */
#define _MM_FLUSH_ZERO_MASK 0x8000
#define _MM_FLUSH_ZERO_ON 0x8000
#define _MM_FLUSH_ZERO_OFF 0x0000
/* Denormals are zeros mode macros. */
#define _MM_DENORMALS_ZERO_MASK 0x0040
#define _MM_DENORMALS_ZERO_ON 0x0040
#define _MM_DENORMALS_ZERO_OFF 0x0000
/* 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__) || defined(_M_ARM64)
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 */
// Some intrinsics operate on unaligned data types.
typedef int16_t ALIGN_STRUCT(1) unaligned_int16_t;
typedef int32_t ALIGN_STRUCT(1) unaligned_int32_t;
typedef int64_t ALIGN_STRUCT(1) unaligned_int64_t;
// __int64 is defined in the Intrinsics Guide which maps to different datatype
// in different data model
#if !(defined(_WIN32) || defined(_WIN64) || defined(__int64))
#if (defined(__x86_64__) || defined(__i386__))
#define __int64 long long
#else
#define __int64 int64_t
#endif
#endif
/* 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__) || defined(_M_ARM64)
#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_u32_m128d(x) vreinterpretq_u32_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://learn.microsoft.com/en-us/cpp/cpp/m128
//
// 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])
/* SSE macros */
#define _MM_GET_FLUSH_ZERO_MODE _sse2neon_mm_get_flush_zero_mode
#define _MM_SET_FLUSH_ZERO_MODE _sse2neon_mm_set_flush_zero_mode
#define _MM_GET_DENORMALS_ZERO_MODE _sse2neon_mm_get_denormals_zero_mode
#define _MM_SET_DENORMALS_ZERO_MODE _sse2neon_mm_set_denormals_zero_mode
// Function declaration
// SSE
FORCE_INLINE unsigned int _MM_GET_ROUNDING_MODE(void);
FORCE_INLINE __m128 _mm_move_ss(__m128, __m128);
FORCE_INLINE __m128 _mm_or_ps(__m128, __m128);
FORCE_INLINE __m128 _mm_set_ps1(float);
FORCE_INLINE __m128 _mm_setzero_ps(void);
// SSE2
FORCE_INLINE __m128i _mm_and_si128(__m128i, __m128i);
FORCE_INLINE __m128i _mm_castps_si128(__m128);
FORCE_INLINE __m128i _mm_cmpeq_epi32(__m128i, __m128i);
FORCE_INLINE __m128i _mm_cvtps_epi32(__m128);
FORCE_INLINE __m128d _mm_move_sd(__m128d, __m128d);
FORCE_INLINE __m128i _mm_or_si128(__m128i, __m128i);
FORCE_INLINE __m128i _mm_set_epi32(int, int, int, int);
FORCE_INLINE __m128i _mm_set_epi64x(int64_t, int64_t);
FORCE_INLINE __m128d _mm_set_pd(double, double);
FORCE_INLINE __m128i _mm_set1_epi32(int);
FORCE_INLINE __m128i _mm_setzero_si128(void);
// SSE4.1
FORCE_INLINE __m128d _mm_ceil_pd(__m128d);
FORCE_INLINE __m128 _mm_ceil_ps(__m128);
FORCE_INLINE __m128d _mm_floor_pd(__m128d);
FORCE_INLINE __m128 _mm_floor_ps(__m128);
FORCE_INLINE __m128d _mm_round_pd(__m128d, int);
FORCE_INLINE __m128 _mm_round_ps(__m128, int);
// SSE4.2
FORCE_INLINE uint32_t _mm_crc32_u8(uint32_t, uint8_t);
/* 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__ <= 13 && defined(__arm__)) || \
(__GNUC__ == 10 && __GNUC_MINOR__ < 3 && defined(__aarch64__)) || \
(__GNUC__ <= 9 && defined(__aarch64__)))
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
#if !defined(__aarch64__) && !defined(_M_ARM64)
/* emulate vaddv u8 variant */
FORCE_INLINE uint8_t _sse2neon_vaddv_u8(uint8x8_t v8)
{
const uint64x1_t v1 = vpaddl_u32(vpaddl_u16(vpaddl_u8(v8)));
return vget_lane_u8(vreinterpret_u8_u64(v1), 0);
}
#else
// Wraps vaddv_u8
FORCE_INLINE uint8_t _sse2neon_vaddv_u8(uint8x8_t v8)
{
return vaddv_u8(v8);
}
#endif
#if !defined(__aarch64__) && !defined(_M_ARM64)
/* emulate vaddvq u8 variant */
FORCE_INLINE uint8_t _sse2neon_vaddvq_u8(uint8x16_t a)
{
uint8x8_t tmp = vpadd_u8(vget_low_u8(a), vget_high_u8(a));
uint8_t res = 0;
for (int i = 0; i < 8; ++i)
res += tmp[i];
return res;
}
#else
// Wraps vaddvq_u8
FORCE_INLINE uint8_t _sse2neon_vaddvq_u8(uint8x16_t a)
{
return vaddvq_u8(a);
}
#endif
#if !defined(__aarch64__) && !defined(_M_ARM64)
/* emulate vaddvq u16 variant */
FORCE_INLINE uint16_t _sse2neon_vaddvq_u16(uint16x8_t a)
{
uint32x4_t m = vpaddlq_u16(a);
uint64x2_t n = vpaddlq_u32(m);
uint64x1_t o = vget_low_u64(n) + vget_high_u64(n);
return vget_lane_u32((uint32x2_t) o, 0);
}
#else
// Wraps vaddvq_u16
FORCE_INLINE uint16_t _sse2neon_vaddvq_u16(uint16x8_t a)
{
return vaddvq_u16(a);
}
#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 contain 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
*/
/* 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 */
};
// The bit field mapping to the FPCR(floating-point control register)
typedef struct {
uint16_t res0;
uint8_t res1 : 6;
uint8_t bit22 : 1;
uint8_t bit23 : 1;
uint8_t bit24 : 1;
uint8_t res2 : 7;
#if defined(__aarch64__) || defined(_M_ARM64)
uint32_t res3;
#endif
} fpcr_bitfield;
// 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));
}
// For MSVC, we check only if it is ARM64, as every single ARM64 processor
// supported by WoA has crypto extensions. If this changes in the future,
// this can be verified via the runtime-only method of:
// IsProcessorFeaturePresent(PF_ARM_V8_CRYPTO_INSTRUCTIONS_AVAILABLE)
#if (defined(_M_ARM64) && !defined(__clang__)) || \
(defined(__ARM_FEATURE_CRYPTO) && \
(defined(__aarch64__) || __has_builtin(__builtin_arm_crypto_vmullp64)))
// 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);
#if defined(_MSC_VER) && !defined(__clang__)
__n64 a1 = {a}, b1 = {b};
return vreinterpretq_u64_p128(vmull_p64(a1, b1));
#else
return vreinterpretq_u64_p128(vmull_p64(a, b));
#endif
}
#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