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impl.cpp
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impl.cpp
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#include <assert.h>
#include <float.h>
#include <inttypes.h>
#include <math.h>
#include <stdalign.h>
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <utility>
#include "binding.h"
#include "impl.h"
// Try 10,000 random floating point values for each test we run
#define MAX_TEST_VALUE 10000
/* Pattern Matching for C macros.
* https://github.com/pfultz2/Cloak/wiki/C-Preprocessor-tricks,-tips,-and-idioms
*/
/* catenate */
#define PRIMITIVE_CAT(a, ...) a##__VA_ARGS__
#define IIF(c) PRIMITIVE_CAT(IIF_, c)
/* run the 2nd parameter */
#define IIF_0(t, ...) __VA_ARGS__
/* run the 1st parameter */
#define IIF_1(t, ...) t
// This program a set of unit tests to ensure that each SSE call provide the
// output we expect. If this fires an assert, then something didn't match up.
//
// Functions with "test_" prefix will be called in runSingleTest.
namespace SSE2NEON
{
// Forward declaration
class SSE2NEONTestImpl : public SSE2NEONTest
{
public:
SSE2NEONTestImpl(void);
result_t loadTestFloatPointers(uint32_t i);
result_t loadTestIntPointers(uint32_t i);
result_t runSingleTest(InstructionTest test, uint32_t i);
float *mTestFloatPointer1;
float *mTestFloatPointer2;
int32_t *mTestIntPointer1;
int32_t *mTestIntPointer2;
float mTestFloats[MAX_TEST_VALUE];
int32_t mTestInts[MAX_TEST_VALUE];
virtual ~SSE2NEONTestImpl(void)
{
platformAlignedFree(mTestFloatPointer1);
platformAlignedFree(mTestFloatPointer2);
platformAlignedFree(mTestIntPointer1);
platformAlignedFree(mTestIntPointer2);
}
virtual void release(void) { delete this; }
virtual result_t runTest(InstructionTest test)
{
result_t ret = TEST_SUCCESS;
// Test a whole bunch of values
for (uint32_t i = 0; i < (MAX_TEST_VALUE - 8); i++) {
ret = loadTestFloatPointers(i); // Load some random float values
if (ret == TEST_FAIL)
break; // load test float failed??
ret = loadTestIntPointers(i); // load some random int values
if (ret == TEST_FAIL)
break; // load test float failed??
// If we are testing the reciprocal, then invert the input data
// (easier for debugging)
if (test == it_mm_rcp_ps) {
mTestFloatPointer1[0] = 1.0f / mTestFloatPointer1[0];
mTestFloatPointer1[1] = 1.0f / mTestFloatPointer1[1];
mTestFloatPointer1[2] = 1.0f / mTestFloatPointer1[2];
mTestFloatPointer1[3] = 1.0f / mTestFloatPointer1[3];
}
if (test == it_mm_rcp_ps || test == it_mm_rcp_ss ||
test == it_mm_rsqrt_ps || test == it_mm_rsqrt_ss) {
if ((rand() & 3) == 0) {
uint32_t r1 = rand() & 3;
uint32_t r2 = rand() & 3;
uint32_t r3 = rand() & 3;
uint32_t r4 = rand() & 3;
uint32_t r5 = rand() & 3;
uint32_t r6 = rand() & 3;
uint32_t r7 = rand() & 3;
uint32_t r8 = rand() & 3;
mTestFloatPointer1[r1] = 0.0f;
mTestFloatPointer1[r2] = 0.0f;
mTestFloatPointer1[r3] = 0.0f;
mTestFloatPointer1[r4] = 0.0f;
mTestFloatPointer1[r5] = -0.0f;
mTestFloatPointer1[r6] = -0.0f;
mTestFloatPointer1[r7] = -0.0f;
mTestFloatPointer1[r8] = -0.0f;
}
}
if (test == it_mm_cmpge_ps || test == it_mm_cmpge_ss ||
test == it_mm_cmple_ps || test == it_mm_cmple_ss ||
test == it_mm_cmpeq_ps || test == it_mm_cmpeq_ss) {
// Make sure at least one value is the same.
mTestFloatPointer1[3] = mTestFloatPointer2[3];
}
if (test == it_mm_cmpord_ps || test == it_mm_cmpord_ss ||
test == it_mm_cmpunord_ps || test == it_mm_cmpunord_ss ||
test == it_mm_cmpeq_ps || test == it_mm_cmpeq_ss ||
test == it_mm_cmpge_ps || test == it_mm_cmpge_ss ||
test == it_mm_cmpgt_ps || test == it_mm_cmpgt_ss ||
test == it_mm_cmple_ps || test == it_mm_cmple_ss ||
test == it_mm_cmplt_ps || test == it_mm_cmplt_ss ||
test == it_mm_cmpneq_ps || test == it_mm_cmpneq_ss ||
test == it_mm_cmpnge_ps || test == it_mm_cmpnge_ss ||
test == it_mm_cmpngt_ps || test == it_mm_cmpngt_ss ||
test == it_mm_cmpnle_ps || test == it_mm_cmpnle_ss ||
test == it_mm_cmpnlt_ps || test == it_mm_cmpnlt_ss ||
test == it_mm_comieq_ss || test == it_mm_ucomieq_ss ||
test == it_mm_comige_ss || test == it_mm_ucomige_ss ||
test == it_mm_comigt_ss || test == it_mm_ucomigt_ss ||
test == it_mm_comile_ss || test == it_mm_ucomile_ss ||
test == it_mm_comilt_ss || test == it_mm_ucomilt_ss ||
test == it_mm_comineq_ss || test == it_mm_ucomineq_ss) {
// Make sure the NaN values are included in the testing
// one out of four times.
if ((rand() & 3) == 0) {
uint32_t r1 = rand() & 3;
uint32_t r2 = rand() & 3;
mTestFloatPointer1[r1] = nanf("");
mTestFloatPointer2[r2] = nanf("");
}
}
if (test == it_mm_cmpord_pd || test == it_mm_cmpord_sd ||
test == it_mm_cmpunord_pd || test == it_mm_cmpunord_sd ||
test == it_mm_cmpeq_pd || test == it_mm_cmpeq_sd ||
test == it_mm_cmpge_pd || test == it_mm_cmpge_sd ||
test == it_mm_cmpgt_pd || test == it_mm_cmpgt_sd ||
test == it_mm_cmple_pd || test == it_mm_cmple_sd ||
test == it_mm_cmplt_pd || test == it_mm_cmplt_sd ||
test == it_mm_cmpneq_pd || test == it_mm_cmpneq_sd ||
test == it_mm_cmpnge_pd || test == it_mm_cmpnge_sd ||
test == it_mm_cmpngt_pd || test == it_mm_cmpngt_sd ||
test == it_mm_cmpnle_pd || test == it_mm_cmpnle_sd ||
test == it_mm_cmpnlt_pd || test == it_mm_cmpnlt_sd ||
test == it_mm_comieq_sd || test == it_mm_ucomieq_sd ||
test == it_mm_comige_sd || test == it_mm_ucomige_sd ||
test == it_mm_comigt_sd || test == it_mm_ucomigt_sd ||
test == it_mm_comile_sd || test == it_mm_ucomile_sd ||
test == it_mm_comilt_sd || test == it_mm_ucomilt_sd ||
test == it_mm_comineq_sd || test == it_mm_ucomineq_sd) {
// Make sure the NaN values are included in the testing
// one out of four times.
if ((rand() & 3) == 0) {
// FIXME:
// The argument "0xFFFFFFFFFFFF" is a tricky workaround to
// set the NaN value for doubles. The code is not intuitive
// and should be fixed in the future.
uint32_t r1 = ((rand() & 1) << 1) + 1;
uint32_t r2 = ((rand() & 1) << 1) + 1;
mTestFloatPointer1[r1] = nanf("0xFFFFFFFFFFFF");
mTestFloatPointer2[r2] = nanf("0xFFFFFFFFFFFF");
}
}
if (test == it_mm_max_pd || test == it_mm_max_sd ||
test == it_mm_min_pd || test == it_mm_min_sd) {
// Make sure the positive/negative inifinity values are included
// in the testing one out of four times.
if ((rand() & 3) == 0) {
uint32_t r1 = ((rand() & 1) << 1) + 1;
uint32_t r2 = ((rand() & 1) << 1) + 1;
uint32_t r3 = ((rand() & 1) << 1) + 1;
uint32_t r4 = ((rand() & 1) << 1) + 1;
mTestFloatPointer1[r1] = INFINITY;
mTestFloatPointer2[r2] = INFINITY;
mTestFloatPointer1[r3] = -INFINITY;
mTestFloatPointer1[r4] = -INFINITY;
}
}
#if SSE2NEON_PRECISE_MINMAX
if (test == it_mm_max_ps || test == it_mm_max_ss ||
test == it_mm_min_ps || test == it_mm_min_ss) {
// Make sure the NaN values are included in the testing
// one out of four times.
if ((rand() & 3) == 0) {
uint32_t r1 = rand() & 3;
uint32_t r2 = rand() & 3;
mTestFloatPointer1[r1] = nanf("");
mTestFloatPointer2[r2] = nanf("");
}
}
if (test == it_mm_max_pd || test == it_mm_max_sd ||
test == it_mm_min_pd || test == it_mm_min_sd) {
// Make sure the NaN values are included in the testing
// one out of four times.
if ((rand() & 3) == 0) {
// FIXME:
// The argument "0xFFFFFFFFFFFF" is a tricky workaround to
// set the NaN value for doubles. The code is not intuitive
// and should be fixed in the future.
uint32_t r1 = ((rand() & 1) << 1) + 1;
uint32_t r2 = ((rand() & 1) << 1) + 1;
mTestFloatPointer1[r1] = nanf("0xFFFFFFFFFFFF");
mTestFloatPointer2[r2] = nanf("0xFFFFFFFFFFFF");
}
}
#endif
// one out of every random 64 times or so, mix up the test floats to
// contain some integer values
if ((rand() & 63) == 0) {
uint32_t option = rand() & 3;
switch (option) {
// All integers..
case 0:
mTestFloatPointer1[0] = float(mTestIntPointer1[0]);
mTestFloatPointer1[1] = float(mTestIntPointer1[1]);
mTestFloatPointer1[2] = float(mTestIntPointer1[2]);
mTestFloatPointer1[3] = float(mTestIntPointer1[3]);
mTestFloatPointer2[0] = float(mTestIntPointer2[0]);
mTestFloatPointer2[1] = float(mTestIntPointer2[1]);
mTestFloatPointer2[2] = float(mTestIntPointer2[2]);
mTestFloatPointer2[3] = float(mTestIntPointer2[3]);
break;
case 1: {
uint32_t index = rand() & 3;
mTestFloatPointer1[index] = float(mTestIntPointer1[index]);
index = rand() & 3;
mTestFloatPointer2[index] = float(mTestIntPointer2[index]);
} break;
case 2: {
uint32_t index1 = rand() & 3;
uint32_t index2 = rand() & 3;
mTestFloatPointer1[index1] =
float(mTestIntPointer1[index1]);
mTestFloatPointer1[index2] =
float(mTestIntPointer1[index2]);
index1 = rand() & 3;
index2 = rand() & 3;
mTestFloatPointer1[index1] =
float(mTestIntPointer1[index1]);
mTestFloatPointer1[index2] =
float(mTestIntPointer1[index2]);
} break;
case 3:
mTestFloatPointer1[0] = float(mTestIntPointer1[0]);
mTestFloatPointer1[1] = float(mTestIntPointer1[1]);
mTestFloatPointer1[2] = float(mTestIntPointer1[2]);
mTestFloatPointer1[3] = float(mTestIntPointer1[3]);
break;
}
if ((rand() & 3) == 0) { // one out of 4 times, make halves
for (uint32_t j = 0; j < 4; j++) {
mTestFloatPointer1[j] *= 0.5f;
mTestFloatPointer2[j] *= 0.5f;
}
}
}
ret = runSingleTest(test, i);
if (ret == TEST_FAIL) // the test failed...
{
// Set a breakpoint here if you want to step through the failure
// case in the debugger
ret = runSingleTest(test, i);
break;
}
}
return ret;
}
};
const char *instructionString[] = {
#define _(x) #x,
INTRIN_LIST
#undef _
};
// Produce rounding which is the same as SSE instructions with _MM_ROUND_NEAREST
// rounding mode
static inline float bankersRounding(float val)
{
if (val < 0)
return -bankersRounding(-val);
float ret;
float roundDown = floorf(val); // Round down value
float roundUp = ceilf(val); // Round up value
float diffDown = val - roundDown;
float diffUp = roundUp - val;
if (diffDown < diffUp) {
/* If it's closer to the round down value, then use it */
ret = roundDown;
} else if (diffDown > diffUp) {
/* If it's closer to the round up value, then use it */
ret = roundUp;
} else {
/* If it's equidistant between round up and round down value, pick the
* one which is an even number */
float half = roundDown / 2;
if (half != floorf(half)) {
/* If the round down value is odd, return the round up value */
ret = roundUp;
} else {
/* If the round up value is odd, return the round down value */
ret = roundDown;
}
}
return ret;
}
static inline double bankersRounding(double val)
{
if (val < 0)
return -bankersRounding(-val);
double ret;
double roundDown = floor(val); // Round down value
double roundUp = ceil(val); // Round up value
double diffDown = val - roundDown;
double diffUp = roundUp - val;
if (diffDown < diffUp) {
/* If it's closer to the round down value, then use it */
ret = roundDown;
} else if (diffDown > diffUp) {
/* If it's closer to the round up value, then use it */
ret = roundUp;
} else {
/* If it's equidistant between round up and round down value, pick the
* one which is an even number */
double half = roundDown / 2;
if (half != floor(half)) {
/* If the round down value is odd, return the round up value */
ret = roundUp;
} else {
/* If the round up value is odd, return the round down value */
ret = roundDown;
}
}
return ret;
}
// SplitMix64 PRNG by Sebastiano Vigna, see:
// <https://xoshiro.di.unimi.it/splitmix64.c>
static uint64_t state; // the state of SplitMix64 PRNG
const double TWOPOWER64 = pow(2, 64);
#define SSE2NEON_INIT_RNG(seed) \
do { \
state = seed; \
} while (0)
static double next()
{
uint64_t z = (state += 0x9e3779b97f4a7c15);
z = (z ^ (z >> 30)) * 0xbf58476d1ce4e5b9;
z = (z ^ (z >> 27)) * 0x94d049bb133111eb;
return (double) (z ^ (z >> 31));
}
static float ranf()
{
return (float) (next() / TWOPOWER64);
}
static float ranf(float low, float high)
{
return ranf() * (high - low) + low;
}
// Enable the tests which are using the macro of another tests
result_t test_mm_slli_si128(const SSE2NEONTestImpl &impl, uint32_t iter);
result_t test_mm_srli_si128(const SSE2NEONTestImpl &impl, uint32_t iter);
result_t test_mm_shuffle_pi16(const SSE2NEONTestImpl &impl, uint32_t iter);
// This function is not called from "runSingleTest", but for other intrinsic
// tests that might need to call "_mm_set_epi32".
__m128i do_mm_set_epi32(int32_t x, int32_t y, int32_t z, int32_t w)
{
__m128i a = _mm_set_epi32(x, y, z, w);
validateInt32(a, w, z, y, x);
return a;
}
// This function is not called from "runSingleTest", but for other intrinsic
// tests that might need to load __m64 data.
template <class T>
__m64 load_m64(const T *p)
{
return *((const __m64 *) p);
}
// This function is not called from "runSingleTest", but for other intrinsic
// tests that might need to call "_mm_load_ps".
template <class T>
__m128 load_m128(const T *p)
{
return _mm_loadu_ps((const float *) p);
}
// This function is not called from "runSingleTest", but for other intrinsic
// tests that might need to call "_mm_load_ps".
template <class T>
__m128i load_m128i(const T *p)
{
__m128 a = _mm_loadu_ps((const float *) p);
__m128i ia = *(const __m128i *) &a;
return ia;
}
// This function is not called from "runSingleTest", but for other intrinsic
// tests that might need to call "_mm_load_pd".
template <class T>
__m128d load_m128d(const T *p)
{
return _mm_loadu_pd((const double *) p);
}
// This function is not called from "runSingleTest", but for other intrinsic
// tests that might need to call "_mm_store_ps".
result_t do_mm_store_ps(float *p, float x, float y, float z, float w)
{
__m128 a = _mm_set_ps(x, y, z, w);
_mm_store_ps(p, a);
ASSERT_RETURN(p[0] == w);
ASSERT_RETURN(p[1] == z);
ASSERT_RETURN(p[2] == y);
ASSERT_RETURN(p[3] == x);
return TEST_SUCCESS;
}
// This function is not called from "runSingleTest", but for other intrinsic
// tests that might need to call "_mm_store_ps".
result_t do_mm_store_ps(int32_t *p, int32_t x, int32_t y, int32_t z, int32_t w)
{
__m128i a = _mm_set_epi32(x, y, z, w);
_mm_store_ps((float *) p, *(const __m128 *) &a);
ASSERT_RETURN(p[0] == w);
ASSERT_RETURN(p[1] == z);
ASSERT_RETURN(p[2] == y);
ASSERT_RETURN(p[3] == x);
return TEST_SUCCESS;
}
float cmp_noNaN(float a, float b)
{
return (!isnan(a) && !isnan(b)) ? ALL_BIT_1_32 : 0.0f;
}
double cmp_noNaN(double a, double b)
{
return (!isnan(a) && !isnan(b)) ? ALL_BIT_1_64 : 0.0f;
}
float cmp_hasNaN(float a, float b)
{
return (isnan(a) || isnan(b)) ? ALL_BIT_1_32 : 0.0f;
}
double cmp_hasNaN(double a, double b)
{
return (isnan(a) || isnan(b)) ? ALL_BIT_1_64 : 0.0f;
}
int32_t comilt_ss(float a, float b)
{
if (isnan(a) || isnan(b))
return 0;
return (a < b);
}
int32_t comigt_ss(float a, float b)
{
if (isnan(a) || isnan(b))
return 0;
return (a > b);
}
int32_t comile_ss(float a, float b)
{
if (isnan(a) || isnan(b))
return 0;
return (a <= b);
}
int32_t comige_ss(float a, float b)
{
if (isnan(a) || isnan(b))
return 0;
return (a >= b);
}
int32_t comieq_ss(float a, float b)
{
if (isnan(a) || isnan(b))
return 0;
return (a == b);
}
int32_t comineq_ss(float a, float b)
{
if (isnan(a) || isnan(b))
return 1;
return (a != b);
}
static inline int16_t saturate_16(int32_t a)
{
int32_t max = (1 << 15) - 1;
int32_t min = -(1 << 15);
if (a > max)
return max;
if (a < min)
return min;
return a;
}
uint32_t canonical_crc32_u8(uint32_t crc, uint8_t v)
{
crc ^= v;
for (int bit = 0; bit < 8; bit++) {
if (crc & 1)
crc = (crc >> 1) ^ UINT32_C(0x82f63b78);
else
crc = (crc >> 1);
}
return crc;
}
uint32_t canonical_crc32_u16(uint32_t crc, uint16_t v)
{
crc = canonical_crc32_u8(crc, v & 0xff);
crc = canonical_crc32_u8(crc, (v >> 8) & 0xff);
return crc;
}
uint32_t canonical_crc32_u32(uint32_t crc, uint32_t v)
{
crc = canonical_crc32_u16(crc, v & 0xffff);
crc = canonical_crc32_u16(crc, (v >> 16) & 0xffff);
return crc;
}
uint64_t canonical_crc32_u64(uint64_t crc, uint64_t v)
{
crc = canonical_crc32_u32((uint32_t) (crc), v & 0xffffffff);
crc = canonical_crc32_u32((uint32_t) (crc), (v >> 32) & 0xffffffff);
return crc;
}
static const uint8_t crypto_aes_sbox[256] = {
0x63, 0x7c, 0x77, 0x7b, 0xf2, 0x6b, 0x6f, 0xc5, 0x30, 0x01, 0x67, 0x2b,
0xfe, 0xd7, 0xab, 0x76, 0xca, 0x82, 0xc9, 0x7d, 0xfa, 0x59, 0x47, 0xf0,
0xad, 0xd4, 0xa2, 0xaf, 0x9c, 0xa4, 0x72, 0xc0, 0xb7, 0xfd, 0x93, 0x26,
0x36, 0x3f, 0xf7, 0xcc, 0x34, 0xa5, 0xe5, 0xf1, 0x71, 0xd8, 0x31, 0x15,
0x04, 0xc7, 0x23, 0xc3, 0x18, 0x96, 0x05, 0x9a, 0x07, 0x12, 0x80, 0xe2,
0xeb, 0x27, 0xb2, 0x75, 0x09, 0x83, 0x2c, 0x1a, 0x1b, 0x6e, 0x5a, 0xa0,
0x52, 0x3b, 0xd6, 0xb3, 0x29, 0xe3, 0x2f, 0x84, 0x53, 0xd1, 0x00, 0xed,
0x20, 0xfc, 0xb1, 0x5b, 0x6a, 0xcb, 0xbe, 0x39, 0x4a, 0x4c, 0x58, 0xcf,
0xd0, 0xef, 0xaa, 0xfb, 0x43, 0x4d, 0x33, 0x85, 0x45, 0xf9, 0x02, 0x7f,
0x50, 0x3c, 0x9f, 0xa8, 0x51, 0xa3, 0x40, 0x8f, 0x92, 0x9d, 0x38, 0xf5,
0xbc, 0xb6, 0xda, 0x21, 0x10, 0xff, 0xf3, 0xd2, 0xcd, 0x0c, 0x13, 0xec,
0x5f, 0x97, 0x44, 0x17, 0xc4, 0xa7, 0x7e, 0x3d, 0x64, 0x5d, 0x19, 0x73,
0x60, 0x81, 0x4f, 0xdc, 0x22, 0x2a, 0x90, 0x88, 0x46, 0xee, 0xb8, 0x14,
0xde, 0x5e, 0x0b, 0xdb, 0xe0, 0x32, 0x3a, 0x0a, 0x49, 0x06, 0x24, 0x5c,
0xc2, 0xd3, 0xac, 0x62, 0x91, 0x95, 0xe4, 0x79, 0xe7, 0xc8, 0x37, 0x6d,
0x8d, 0xd5, 0x4e, 0xa9, 0x6c, 0x56, 0xf4, 0xea, 0x65, 0x7a, 0xae, 0x08,
0xba, 0x78, 0x25, 0x2e, 0x1c, 0xa6, 0xb4, 0xc6, 0xe8, 0xdd, 0x74, 0x1f,
0x4b, 0xbd, 0x8b, 0x8a, 0x70, 0x3e, 0xb5, 0x66, 0x48, 0x03, 0xf6, 0x0e,
0x61, 0x35, 0x57, 0xb9, 0x86, 0xc1, 0x1d, 0x9e, 0xe1, 0xf8, 0x98, 0x11,
0x69, 0xd9, 0x8e, 0x94, 0x9b, 0x1e, 0x87, 0xe9, 0xce, 0x55, 0x28, 0xdf,
0x8c, 0xa1, 0x89, 0x0d, 0xbf, 0xe6, 0x42, 0x68, 0x41, 0x99, 0x2d, 0x0f,
0xb0, 0x54, 0xbb, 0x16,
};
static const uint8_t crypto_aes_rsbox[256] = {
0x52, 0x09, 0x6a, 0xd5, 0x30, 0x36, 0xa5, 0x38, 0xbf, 0x40, 0xa3, 0x9e,
0x81, 0xf3, 0xd7, 0xfb, 0x7c, 0xe3, 0x39, 0x82, 0x9b, 0x2f, 0xff, 0x87,
0x34, 0x8e, 0x43, 0x44, 0xc4, 0xde, 0xe9, 0xcb, 0x54, 0x7b, 0x94, 0x32,
0xa6, 0xc2, 0x23, 0x3d, 0xee, 0x4c, 0x95, 0x0b, 0x42, 0xfa, 0xc3, 0x4e,
0x08, 0x2e, 0xa1, 0x66, 0x28, 0xd9, 0x24, 0xb2, 0x76, 0x5b, 0xa2, 0x49,
0x6d, 0x8b, 0xd1, 0x25, 0x72, 0xf8, 0xf6, 0x64, 0x86, 0x68, 0x98, 0x16,
0xd4, 0xa4, 0x5c, 0xcc, 0x5d, 0x65, 0xb6, 0x92, 0x6c, 0x70, 0x48, 0x50,
0xfd, 0xed, 0xb9, 0xda, 0x5e, 0x15, 0x46, 0x57, 0xa7, 0x8d, 0x9d, 0x84,
0x90, 0xd8, 0xab, 0x00, 0x8c, 0xbc, 0xd3, 0x0a, 0xf7, 0xe4, 0x58, 0x05,
0xb8, 0xb3, 0x45, 0x06, 0xd0, 0x2c, 0x1e, 0x8f, 0xca, 0x3f, 0x0f, 0x02,
0xc1, 0xaf, 0xbd, 0x03, 0x01, 0x13, 0x8a, 0x6b, 0x3a, 0x91, 0x11, 0x41,
0x4f, 0x67, 0xdc, 0xea, 0x97, 0xf2, 0xcf, 0xce, 0xf0, 0xb4, 0xe6, 0x73,
0x96, 0xac, 0x74, 0x22, 0xe7, 0xad, 0x35, 0x85, 0xe2, 0xf9, 0x37, 0xe8,
0x1c, 0x75, 0xdf, 0x6e, 0x47, 0xf1, 0x1a, 0x71, 0x1d, 0x29, 0xc5, 0x89,
0x6f, 0xb7, 0x62, 0x0e, 0xaa, 0x18, 0xbe, 0x1b, 0xfc, 0x56, 0x3e, 0x4b,
0xc6, 0xd2, 0x79, 0x20, 0x9a, 0xdb, 0xc0, 0xfe, 0x78, 0xcd, 0x5a, 0xf4,
0x1f, 0xdd, 0xa8, 0x33, 0x88, 0x07, 0xc7, 0x31, 0xb1, 0x12, 0x10, 0x59,
0x27, 0x80, 0xec, 0x5f, 0x60, 0x51, 0x7f, 0xa9, 0x19, 0xb5, 0x4a, 0x0d,
0x2d, 0xe5, 0x7a, 0x9f, 0x93, 0xc9, 0x9c, 0xef, 0xa0, 0xe0, 0x3b, 0x4d,
0xae, 0x2a, 0xf5, 0xb0, 0xc8, 0xeb, 0xbb, 0x3c, 0x83, 0x53, 0x99, 0x61,
0x17, 0x2b, 0x04, 0x7e, 0xba, 0x77, 0xd6, 0x26, 0xe1, 0x69, 0x14, 0x63,
0x55, 0x21, 0x0c, 0x7d,
};
// XT is x_time function that muliplies 'x' by 2 in GF(2^8)
#define XT(x) (((x) << 1) ^ ((((x) >> 7) & 1) * 0x1b))
inline __m128i aesenc_128_reference(__m128i a, __m128i b)
{
uint8_t i, t, u, v[4][4];
for (i = 0; i < 16; ++i) {
v[((i / 4) + 4 - (i % 4)) % 4][i % 4] =
crypto_aes_sbox[((SIMDVec *) &a)->m128_u8[i]];
}
for (i = 0; i < 4; ++i) {
t = v[i][0];
u = v[i][0] ^ v[i][1] ^ v[i][2] ^ v[i][3];
v[i][0] ^= u ^ XT(v[i][0] ^ v[i][1]);
v[i][1] ^= u ^ XT(v[i][1] ^ v[i][2]);
v[i][2] ^= u ^ XT(v[i][2] ^ v[i][3]);
v[i][3] ^= u ^ XT(v[i][3] ^ t);
}
for (i = 0; i < 16; ++i) {
((SIMDVec *) &a)->m128_u8[i] =
v[i / 4][i % 4] ^ ((SIMDVec *) &b)->m128_u8[i];
}
return a;
}
#define MULTIPLY(x, y) \
(((y & 1) * x) ^ ((y >> 1 & 1) * XT(x)) ^ ((y >> 2 & 1) * XT(XT(x))) ^ \
((y >> 3 & 1) * XT(XT(XT(x)))) ^ ((y >> 4 & 1) * XT(XT(XT(XT(x))))))
inline __m128i aesdec_128_reference(__m128i a, __m128i b)
{
uint8_t i, e, f, g, h, v[4][4];
for (i = 0; i < 16; ++i) {
v[((i / 4) + (i % 4)) % 4][i % 4] =
crypto_aes_rsbox[((SIMDVec *) &a)->m128_u8[i]];
}
for (i = 0; i < 4; ++i) {
e = v[i][0];
f = v[i][1];
g = v[i][2];
h = v[i][3];
v[i][0] = MULTIPLY(e, 0x0e) ^ MULTIPLY(f, 0x0b) ^ MULTIPLY(g, 0x0d) ^
MULTIPLY(h, 0x09);
v[i][1] = MULTIPLY(e, 0x09) ^ MULTIPLY(f, 0x0e) ^ MULTIPLY(g, 0x0b) ^
MULTIPLY(h, 0x0d);
v[i][2] = MULTIPLY(e, 0x0d) ^ MULTIPLY(f, 0x09) ^ MULTIPLY(g, 0x0e) ^
MULTIPLY(h, 0x0b);
v[i][3] = MULTIPLY(e, 0x0b) ^ MULTIPLY(f, 0x0d) ^ MULTIPLY(g, 0x09) ^
MULTIPLY(h, 0x0e);
}
for (i = 0; i < 16; ++i) {
((SIMDVec *) &a)->m128_u8[i] =
v[i / 4][i % 4] ^ ((SIMDVec *) &b)->m128_u8[i];
}
return a;
}
inline __m128i aesenclast_128_reference(__m128i s, __m128i rk)
{
uint8_t i, v[4][4];
for (i = 0; i < 16; ++i)
v[((i / 4) + 4 - (i % 4)) % 4][i % 4] =
crypto_aes_sbox[((SIMDVec *) &s)->m128_u8[i]];
for (i = 0; i < 16; ++i)
((SIMDVec *) &s)->m128_u8[i] =
v[i / 4][i % 4] ^ ((SIMDVec *) &rk)->m128_u8[i];
return s;
}
// Rotates right (circular right shift) value by "amount" positions
static inline uint32_t rotr(uint32_t value, uint32_t amount)
{
return (value >> amount) | (value << ((32 - amount) & 31));
}
static inline uint64_t MUL(uint32_t a, uint32_t b)
{
return (uint64_t) a * (uint64_t) b;
}
// From BearSSL. Performs a 32-bit->64-bit carryless/polynomial
// long multiply.
//
// This implementation was chosen because it is reasonably fast
// without a lookup table or branching.
//
// This does it by splitting up the bits in a way that they
// would not carry, then combine them together with xor (a
// carryless add).
//
// https://www.bearssl.org/gitweb/?p=BearSSL;a=blob;f=src/hash/ghash_ctmul.c;h=3623202;hb=5f045c7#l164
static uint64_t clmul_32(uint32_t x, uint32_t y)
{
uint32_t x0, x1, x2, x3;
uint32_t y0, y1, y2, y3;
uint64_t z0, z1, z2, z3;
x0 = x & (uint32_t) 0x11111111;
x1 = x & (uint32_t) 0x22222222;
x2 = x & (uint32_t) 0x44444444;
x3 = x & (uint32_t) 0x88888888;
y0 = y & (uint32_t) 0x11111111;
y1 = y & (uint32_t) 0x22222222;
y2 = y & (uint32_t) 0x44444444;
y3 = y & (uint32_t) 0x88888888;
z0 = MUL(x0, y0) ^ MUL(x1, y3) ^ MUL(x2, y2) ^ MUL(x3, y1);
z1 = MUL(x0, y1) ^ MUL(x1, y0) ^ MUL(x2, y3) ^ MUL(x3, y2);
z2 = MUL(x0, y2) ^ MUL(x1, y1) ^ MUL(x2, y0) ^ MUL(x3, y3);
z3 = MUL(x0, y3) ^ MUL(x1, y2) ^ MUL(x2, y1) ^ MUL(x3, y0);
z0 &= (uint64_t) 0x1111111111111111;
z1 &= (uint64_t) 0x2222222222222222;
z2 &= (uint64_t) 0x4444444444444444;
z3 &= (uint64_t) 0x8888888888888888;
return z0 | z1 | z2 | z3;
}
// Performs a 64x64->128-bit carryless/polynomial long
// multiply, using the above routine to calculate the
// subproducts needed for the full-size multiply.
//
// This uses the Karatsuba algorithm.
//
// Normally, the Karatsuba algorithm isn't beneficial
// until very large numbers due to carry tracking and
// multiplication being relatively cheap.
//
// However, we have no carries and multiplication is
// definitely not cheap, so the Karatsuba algorithm is
// a low cost and easy optimization.
//
// https://en.m.wikipedia.org/wiki/Karatsuba_algorithm
//
// Note that addition and subtraction are both
// performed with xor, since all operations are
// carryless.
//
// The comments represent the actual mathematical
// operations being performed (instead of the bitwise
// operations) and to reflect the linked Wikipedia article.
static std::pair<uint64_t, uint64_t> clmul_64(uint64_t x, uint64_t y)
{
// B = 2
// m = 32
// x = (x1 * B^m) + x0
uint32_t x0 = x & 0xffffffff;
uint32_t x1 = x >> 32;
// y = (y1 * B^m) + y0
uint32_t y0 = y & 0xffffffff;
uint32_t y1 = y >> 32;
// z0 = x0 * y0
uint64_t z0 = clmul_32(x0, y0);
// z2 = x1 * y1
uint64_t z2 = clmul_32(x1, y1);
// z1 = (x0 + x1) * (y0 + y1) - z0 - z2
uint64_t z1 = clmul_32(x0 ^ x1, y0 ^ y1) ^ z0 ^ z2;
// xy = z0 + (z1 * B^m) + (z2 * B^2m)
// note: z1 is split between the low and high halves
uint64_t xy0 = z0 ^ (z1 << 32);
uint64_t xy1 = z2 ^ (z1 >> 32);
return std::make_pair(xy0, xy1);
}
/* MMX */
result_t test_mm_empty(const SSE2NEONTestImpl &impl, uint32_t iter)
{
return TEST_SUCCESS;
}
/* SSE */
result_t test_mm_add_ps(const SSE2NEONTestImpl &impl, uint32_t iter)
{
const float *_a = impl.mTestFloatPointer1;
const float *_b = impl.mTestFloatPointer2;
float dx = _a[0] + _b[0];
float dy = _a[1] + _b[1];
float dz = _a[2] + _b[2];
float dw = _a[3] + _b[3];
__m128 a = load_m128(_a);
__m128 b = load_m128(_b);
__m128 c = _mm_add_ps(a, b);
return validateFloat(c, dx, dy, dz, dw);
}
result_t test_mm_add_ss(const SSE2NEONTestImpl &impl, uint32_t iter)
{
const float *_a = impl.mTestFloatPointer1;
const float *_b = impl.mTestFloatPointer1;
float f0 = _a[0] + _b[0];
float f1 = _a[1];
float f2 = _a[2];
float f3 = _a[3];
__m128 a = _mm_load_ps(_a);
__m128 b = _mm_load_ps(_b);
__m128 c = _mm_add_ss(a, b);
return validateFloat(c, f0, f1, f2, f3);
}
result_t test_mm_and_ps(const SSE2NEONTestImpl &impl, uint32_t iter)
{
const float *_a = impl.mTestFloatPointer1;
const float *_b = impl.mTestFloatPointer2;
__m128 a = load_m128(_a);
__m128 b = load_m128(_b);
__m128 c = _mm_and_ps(a, b);
// now for the assertion...
const uint32_t *ia = (const uint32_t *) &a;
const uint32_t *ib = (const uint32_t *) &b;
uint32_t r[4];
r[0] = ia[0] & ib[0];
r[1] = ia[1] & ib[1];
r[2] = ia[2] & ib[2];
r[3] = ia[3] & ib[3];
__m128i ret = do_mm_set_epi32(r[3], r[2], r[1], r[0]);
result_t res = VALIDATE_INT32_M128(*(const __m128i *) &c, r);
if (res) {
res = VALIDATE_INT32_M128(ret, r);
}
return res;
}
// r0 := ~a0 & b0
// r1 := ~a1 & b1
// r2 := ~a2 & b2
// r3 := ~a3 & b3
result_t test_mm_andnot_ps(const SSE2NEONTestImpl &impl, uint32_t iter)
{
const float *_a = impl.mTestFloatPointer1;
const float *_b = impl.mTestFloatPointer2;
__m128 a = load_m128(_a);
__m128 b = load_m128(_b);
__m128 c = _mm_andnot_ps(a, b);
// now for the assertion...
const uint32_t *ia = (const uint32_t *) &a;
const uint32_t *ib = (const uint32_t *) &b;
uint32_t r[4];
r[0] = ~ia[0] & ib[0];
r[1] = ~ia[1] & ib[1];
r[2] = ~ia[2] & ib[2];
r[3] = ~ia[3] & ib[3];
__m128i ret = do_mm_set_epi32(r[3], r[2], r[1], r[0]);
result_t res = TEST_FAIL;
res = VALIDATE_INT32_M128(*(const __m128i *) &c, r);
if (res) {
res = VALIDATE_INT32_M128(ret, r);
}
return res;
}
result_t test_mm_avg_pu16(const SSE2NEONTestImpl &impl, uint32_t iter)
{
const uint16_t *_a = (const uint16_t *) impl.mTestIntPointer1;
const uint16_t *_b = (const uint16_t *) impl.mTestIntPointer2;
uint16_t d[4];
d[0] = (_a[0] + _b[0] + 1) >> 1;
d[1] = (_a[1] + _b[1] + 1) >> 1;
d[2] = (_a[2] + _b[2] + 1) >> 1;
d[3] = (_a[3] + _b[3] + 1) >> 1;
__m64 a = load_m64(_a);
__m64 b = load_m64(_b);
__m64 c = _mm_avg_pu16(a, b);
return VALIDATE_UINT16_M64(c, d);
}
result_t test_mm_avg_pu8(const SSE2NEONTestImpl &impl, uint32_t iter)
{
const uint8_t *_a = (const uint8_t *) impl.mTestIntPointer1;
const uint8_t *_b = (const uint8_t *) impl.mTestIntPointer2;
uint8_t d[8];
d[0] = (_a[0] + _b[0] + 1) >> 1;
d[1] = (_a[1] + _b[1] + 1) >> 1;
d[2] = (_a[2] + _b[2] + 1) >> 1;
d[3] = (_a[3] + _b[3] + 1) >> 1;
d[4] = (_a[4] + _b[4] + 1) >> 1;
d[5] = (_a[5] + _b[5] + 1) >> 1;
d[6] = (_a[6] + _b[6] + 1) >> 1;
d[7] = (_a[7] + _b[7] + 1) >> 1;
__m64 a = load_m64(_a);
__m64 b = load_m64(_b);
__m64 c = _mm_avg_pu8(a, b);
return VALIDATE_UINT8_M64(c, d);
}
result_t test_mm_cmpeq_ps(const SSE2NEONTestImpl &impl, uint32_t iter)
{
const float *_a = impl.mTestFloatPointer1;
const float *_b = impl.mTestFloatPointer2;
__m128 a = load_m128(_a);
__m128 b = load_m128(_b);
int32_t result[4];
result[0] = _a[0] == _b[0] ? -1 : 0;
result[1] = _a[1] == _b[1] ? -1 : 0;
result[2] = _a[2] == _b[2] ? -1 : 0;
result[3] = _a[3] == _b[3] ? -1 : 0;
__m128 ret = _mm_cmpeq_ps(a, b);
__m128i iret = *(const __m128i *) &ret;
return VALIDATE_INT32_M128(iret, result);
}
result_t test_mm_cmpeq_ss(const SSE2NEONTestImpl &impl, uint32_t iter)
{
const float *_a = impl.mTestFloatPointer1;
const float *_b = impl.mTestFloatPointer2;
__m128 a = load_m128(_a);
__m128 b = load_m128(_b);
float result[4];
result[0] = _a[0] == _b[0] ? ALL_BIT_1_32 : 0;
result[1] = _a[1];
result[2] = _a[2];
result[3] = _a[3];
__m128 ret = _mm_cmpeq_ss(a, b);
return validateFloat(ret, result[0], result[1], result[2], result[3]);
}
result_t test_mm_cmpge_ps(const SSE2NEONTestImpl &impl, uint32_t iter)
{
const float *_a = impl.mTestFloatPointer1;
const float *_b = impl.mTestFloatPointer2;
__m128 a = load_m128(_a);
__m128 b = load_m128(_b);
int32_t result[4];
result[0] = _a[0] >= _b[0] ? -1 : 0;
result[1] = _a[1] >= _b[1] ? -1 : 0;
result[2] = _a[2] >= _b[2] ? -1 : 0;
result[3] = _a[3] >= _b[3] ? -1 : 0;
__m128 ret = _mm_cmpge_ps(a, b);
__m128i iret = *(const __m128i *) &ret;
return VALIDATE_INT32_M128(iret, result);
}
result_t test_mm_cmpge_ss(const SSE2NEONTestImpl &impl, uint32_t iter)
{
const float *_a = impl.mTestFloatPointer1;
const float *_b = impl.mTestFloatPointer2;
__m128 a = load_m128(_a);
__m128 b = load_m128(_b);
float result[4];
result[0] = _a[0] >= _b[0] ? ALL_BIT_1_32 : 0;
result[1] = _a[1];
result[2] = _a[2];
result[3] = _a[3];
__m128 ret = _mm_cmpge_ss(a, b);
return validateFloat(ret, result[0], result[1], result[2], result[3]);
}
result_t test_mm_cmpgt_ps(const SSE2NEONTestImpl &impl, uint32_t iter)
{
const float *_a = impl.mTestFloatPointer1;
const float *_b = impl.mTestFloatPointer2;
__m128 a = load_m128(_a);
__m128 b = load_m128(_b);
int32_t result[4];
result[0] = _a[0] > _b[0] ? -1 : 0;
result[1] = _a[1] > _b[1] ? -1 : 0;
result[2] = _a[2] > _b[2] ? -1 : 0;
result[3] = _a[3] > _b[3] ? -1 : 0;
__m128 ret = _mm_cmpgt_ps(a, b);
__m128i iret = *(const __m128i *) &ret;
return VALIDATE_INT32_M128(iret, result);
}
result_t test_mm_cmpgt_ss(const SSE2NEONTestImpl &impl, uint32_t iter)
{
const float *_a = impl.mTestFloatPointer1;