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|
#include "stdafx.h"
#include "simdUtils.h"
#include "../ML/LookupTablesData.h"
#include <cmath>
#include <memory>
namespace
{
constexpr size_t maskAlign8 = ~(size_t)7;
__forceinline __m256 load8( const uint16_t* rsi )
{
__m128i i = _mm_loadu_si128( ( const __m128i* )rsi );
return _mm256_cvtph_ps( i );
}
__forceinline void loadPartial( const uint16_t* x, const uint16_t* y, size_t count, __m256& fx, __m256& fy )
{
assert( count < 8 );
__m128i ix, iy;
switch( count )
{
case 1: // load 2 bytes
ix = _mm_cvtsi32_si128( *x );
iy = _mm_cvtsi32_si128( *y );
break;
case 2: // load 4 bytes
ix = _mm_cvtsi32_si128( *(const int*)x );
iy = _mm_cvtsi32_si128( *(const int*)y );
break;
case 3: // load 6 bytes
ix = _mm_cvtsi32_si128( *(const int*)x );
iy = _mm_cvtsi32_si128( *(const int*)y );
ix = _mm_insert_epi16( ix, x[ 2 ], 2 );
iy = _mm_insert_epi16( iy, y[ 2 ], 2 );
break;
case 4: // load 8 bytes
ix = _mm_cvtsi64_si128( *(const int64_t*)x );
iy = _mm_cvtsi64_si128( *(const int64_t*)y );
break;
case 5: // load 10 bytes
ix = _mm_cvtsi64_si128( *(const int64_t*)x );
iy = _mm_cvtsi64_si128( *(const int64_t*)y );
ix = _mm_insert_epi16( ix, x[ 4 ], 4 );
iy = _mm_insert_epi16( iy, y[ 4 ], 4 );
break;
case 6: // load 12 bytes
ix = _mm_cvtsi64_si128( *(const int64_t*)x );
iy = _mm_cvtsi64_si128( *(const int64_t*)y );
ix = _mm_insert_epi32( ix, *(const int*)( x + 4 ), 2 );
iy = _mm_insert_epi32( iy, *(const int*)( y + 4 ), 2 );
break;
case 7: // load 14 bytes
ix = _mm_cvtsi64_si128( *(const int64_t*)x );
iy = _mm_cvtsi64_si128( *(const int64_t*)y );
ix = _mm_insert_epi32( ix, *(const int*)( x + 4 ), 2 );
iy = _mm_insert_epi32( iy, *(const int*)( y + 4 ), 2 );
ix = _mm_insert_epi16( ix, x[ 6 ], 6 );
iy = _mm_insert_epi16( iy, y[ 6 ], 6 );
break;
default:
fx = fy = _mm256_setzero_ps();
return;
}
fx = _mm256_cvtph_ps( ix );
fy = _mm256_cvtph_ps( iy );
}
__forceinline __m256 loadPartial( const uint16_t* x, size_t count )
{
assert( count < 8 );
__m128i ix;
switch( count )
{
case 1: // load 2 bytes
ix = _mm_cvtsi32_si128( *x );
break;
case 2: // load 4 bytes
ix = _mm_cvtsi32_si128( *(const int*)x );
break;
case 3: // load 6 bytes
ix = _mm_cvtsi32_si128( *(const int*)x );
ix = _mm_insert_epi16( ix, x[ 2 ], 2 );
break;
case 4: // load 8 bytes
ix = _mm_cvtsi64_si128( *(const int64_t*)x );
break;
case 5: // load 10 bytes
ix = _mm_cvtsi64_si128( *(const int64_t*)x );
ix = _mm_insert_epi16( ix, x[ 4 ], 4 );
break;
case 6: // load 12 bytes
ix = _mm_cvtsi64_si128( *(const int64_t*)x );
ix = _mm_insert_epi32( ix, *(const int*)( x + 4 ), 2 );
break;
case 7: // load 14 bytes
ix = _mm_cvtsi64_si128( *(const int64_t*)x );
ix = _mm_insert_epi32( ix, *(const int*)( x + 4 ), 2 );
ix = _mm_insert_epi16( ix, x[ 6 ], 6 );
break;
default:
return _mm256_setzero_ps();
}
return _mm256_cvtph_ps( ix );
}
__forceinline __m128 loadFloat2( const float* rsi )
{
return _mm_castpd_ps( _mm_load_sd( (const double*)rsi ) );
}
__forceinline __m128 loadFloat3( const float* rsi )
{
__m128 f = loadFloat2( rsi );
f = _mm_insert_ps( f, _mm_load_ss( rsi + 2 ), 0x20 );
return f;
}
__forceinline __m256 loadPartial( const float* rsi, size_t count )
{
assert( count < 8 );
__m128 low = _mm_setzero_ps();
__m128 high = _mm_setzero_ps();
switch( count )
{
case 1:
low = _mm_load_ss( rsi );
break;
case 2:
low = loadFloat2( rsi );
break;
case 3:
low = loadFloat3( rsi );
break;
case 4:
low = _mm_loadu_ps( rsi );
break;
case 5:
low = _mm_loadu_ps( rsi );
high = _mm_load_ss( rsi + 4 );
break;
case 6:
low = _mm_loadu_ps( rsi );
high = loadFloat2( rsi + 4 );
break;
case 7:
low = _mm_loadu_ps( rsi );
high = loadFloat3( rsi + 4 );
break;
}
return _mm256_setr_m128( low, high );
}
__forceinline void storeFloat2( float* rdi, __m128 vec )
{
_mm_store_sd( (double*)rdi, _mm_castps_pd( vec ) );
}
__forceinline void storePartial( float* rdi, __m256 vec, size_t count )
{
assert( count < 8 );
__m128 tmp = _mm256_castps256_ps128( vec );
if( count >= 4 )
{
_mm_storeu_ps( rdi, tmp );
if( count == 4 )
return;
count -= 4;
rdi += 4;
tmp = _mm256_extractf128_ps( vec, 1 );
}
switch( count )
{
case 1:
_mm_store_ss( rdi, tmp );
return;
case 2:
storeFloat2( rdi, tmp );
return;
case 3:
storeFloat2( rdi, tmp );
( (int*)rdi )[ 2 ] = _mm_extract_ps( tmp, 2 );
return;
}
}
}
void addF16to32( float* rdi, const uint16_t* a, const uint16_t* b, size_t length )
{
const uint16_t* const endAligned = a + ( length & maskAlign8 );
const size_t rem = length % 8;
for( ; a < endAligned; a += 8, b += 8, rdi += 8 )
{
__m256 f1 = load8( a );
__m256 f2 = load8( b );
__m256 res = _mm256_add_ps( f1, f2 );
_mm256_storeu_ps( rdi, res );
}
if( rem != 0 )
{
__m256 f1, f2;
loadPartial( a, b, rem, f1, f2 );
__m256 res = _mm256_add_ps( f1, f2 );
storePartial( rdi, res, rem );
}
}
void addF16to32( float* rdi, const uint16_t* a, const float* b, size_t length )
{
const uint16_t* const endAligned = a + ( length & maskAlign8 );
const size_t rem = length % 8;
for( ; a < endAligned; a += 8, b += 8, rdi += 8 )
{
__m256 f1 = load8( a );
__m256 f2 = _mm256_loadu_ps( b );
__m256 res = _mm256_add_ps( f1, f2 );
_mm256_storeu_ps( rdi, res );
}
if( rem != 0 )
{
__m256 f1 = loadPartial( a, rem );
__m256 f2 = loadPartial( b, rem );
__m256 res = _mm256_add_ps( f1, f2 );
storePartial( rdi, res, rem );
}
}
alignas( 64 ) const std::array<int, 16> s_zeroTailMask =
{
-1,-1,-1,-1,-1,-1,-1,-1,
0, 0, 0, 0, 0, 0, 0, 0,
};
namespace
{
__forceinline float horizontalSum( __m256 vec )
{
__m128 v = _mm256_extractf128_ps( vec, 1 );
v = _mm_add_ps( v, _mm256_castps256_ps128( vec ) );
v = _mm_add_ps( v, _mm_movehl_ps( v, v ) );
v = _mm_add_ss( v, _mm_movehdup_ps( v ) );
return _mm_cvtss_f32( v );
}
}
void norm( float* rdi, float* temp, const float* rsi, size_t length )
{
assert( (size_t)temp % 32 == 0 );
const float* rsiEndAligned = rsi + ( length & maskAlign8 );
const size_t rem = length % 8;
// First pass: copy to temp buffer, and compute the sum; computeVectorSum() in HLSL
__m256 sum = _mm256_setzero_ps();
float* t;
for( t = temp; rsi < rsiEndAligned; rsi += 8, t += 8 )
{
__m256 v = _mm256_loadu_ps( rsi );
sum = _mm256_add_ps( sum, v );
_mm256_store_ps( t, v );
}
float* const tEndAligned = t;
if( 0 != rem )
{
__m256 v = loadPartial( rsi, rem );
sum = _mm256_add_ps( sum, v );
_mm256_store_ps( t, v );
t += 8;
}
const float lengthFloat = (float)(int)length;
const float meanScalar = horizontalSum( sum ) / lengthFloat;
const __m256 mean = _mm256_set1_ps( meanScalar );
// Second pass, offsetAndComputeSumSquares() in HLSL
sum = _mm256_setzero_ps();
for( t = temp; t < tEndAligned; t += 8 )
{
__m256 v = _mm256_load_ps( t );
v = _mm256_sub_ps( v, mean );
_mm256_store_ps( t, v );
sum = _mm256_fmadd_ps( v, v, sum );
}
if( 0 != rem )
{
__m256 v = _mm256_load_ps( t );
v = _mm256_sub_ps( v, mean );
v = _mm256_and_ps( v, loadTailMaskFloats( rem ) );
_mm256_store_ps( t, v );
sum = _mm256_fmadd_ps( v, v, sum );
}
// Final pass: scale, and copy from temporary buffer into the destination row
constexpr float eps = 1e-5f; // TODO: make this a parameter
const float scaleScalar = 1.0f / std::sqrtf( horizontalSum( sum ) / lengthFloat + eps );
const __m256 scale = _mm256_set1_ps( scaleScalar );
for( t = temp; t < tEndAligned; t += 8, rdi += 8 )
{
__m256 v = _mm256_load_ps( t );
v = _mm256_mul_ps( v, scale );
_mm256_storeu_ps( rdi, v );
}
if( 0 != rem )
{
__m256 v = _mm256_load_ps( t );
v = _mm256_mul_ps( v, scale );
storePartial( rdi, v, rem );
}
}
void fmaRepeatRow( float* rdi, size_t len, const float* w, const float* b, size_t lenPattern )
{
float* rdiEndAligned = rdi + ( len & maskAlign8 );
const size_t rem = len % 8;
if( 1 == lenPattern )
{
const __m256 v1 = _mm256_broadcast_ss( w );
const __m256 v2 = _mm256_broadcast_ss( b );
for( ; rdi < rdiEndAligned; rdi += 8 )
{
__m256 v = _mm256_loadu_ps( rdi );
v = _mm256_fmadd_ps( v, v1, v2 );
_mm256_storeu_ps( rdi, v );
}
if( 0 != rem )
{
const __m256i mask = loadTailMaskInt( rem );
__m256 v = _mm256_maskload_ps( rdi, mask );
v = _mm256_fmadd_ps( v, v1, v2 );
_mm256_maskstore_ps( rdi, mask, v );
}
}
else if( len == lenPattern )
{
for( ; rdi < rdiEndAligned; rdi += 8, w += 8, b += 8 )
{
__m256 v = _mm256_loadu_ps( rdi );
__m256 v1 = _mm256_loadu_ps( w );
__m256 v2 = _mm256_loadu_ps( b );
v = _mm256_fmadd_ps( v, v1, v2 );
_mm256_storeu_ps( rdi, v );
}
if( 0 != rem )
{
const __m256i mask = loadTailMaskInt( rem );
__m256 v = _mm256_maskload_ps( rdi, mask );
__m256 v1 = _mm256_maskload_ps( w, mask );
__m256 v2 = _mm256_maskload_ps( b, mask );
v = _mm256_fmadd_ps( v, v1, v2 );
_mm256_maskstore_ps( rdi, mask, v );
}
}
else
{
// TODO: implement if this actually happens
throw E_NOTIMPL;
}
}
void __vectorcall addRepeatScaleRow( float* rdi, size_t len, const float* b, size_t lenPattern, const __m256 scale )
{
float* rdiEndAligned = rdi + ( len & maskAlign8 );
const size_t rem = len % 8;
if( 1 == lenPattern )
{
const __m256 v2 = _mm256_broadcast_ss( b );
for( ; rdi < rdiEndAligned; rdi += 8 )
{
__m256 v = _mm256_loadu_ps( rdi );
v = _mm256_add_ps( v, v2 );
v = _mm256_mul_ps( v, scale );
_mm256_storeu_ps( rdi, v );
}
if( 0 != rem )
{
const __m256i mask = loadTailMaskInt( rem );
__m256 v = _mm256_maskload_ps( rdi, mask );
v = _mm256_add_ps( v, v2 );
v = _mm256_mul_ps( v, scale );
_mm256_maskstore_ps( rdi, mask, v );
}
return;
}
else if( len == lenPattern )
{
for( ; rdi < rdiEndAligned; rdi += 8, b += 8 )
{
__m256 v = _mm256_loadu_ps( rdi );
__m256 v2 = _mm256_loadu_ps( b );
v = _mm256_add_ps( v, v2 );
v = _mm256_mul_ps( v, scale );
_mm256_storeu_ps( rdi, v );
}
if( 0 != rem )
{
const __m256i mask = loadTailMaskInt( rem );
__m256 v = _mm256_maskload_ps( rdi, mask );
__m256 v2 = _mm256_maskload_ps( b, mask );
v = _mm256_add_ps( v, v2 );
v = _mm256_mul_ps( v, scale );
_mm256_maskstore_ps( rdi, mask, v );
}
return;
}
else
{
// TODO: implement if this actually happens
throw E_NOTIMPL;
}
}
void addRepeatRow( float* rdi, size_t len, const float* b, size_t lenPattern )
{
float* rdiEndAligned = rdi + ( len & maskAlign8 );
const size_t rem = len % 8;
if( 1 == lenPattern )
{
const __m256 v2 = _mm256_broadcast_ss( b );
for( ; rdi < rdiEndAligned; rdi += 8 )
{
__m256 v = _mm256_loadu_ps( rdi );
v = _mm256_add_ps( v, v2 );
_mm256_storeu_ps( rdi, v );
}
if( 0 != rem )
{
const __m256i mask = loadTailMaskInt( rem );
__m256 v = _mm256_maskload_ps( rdi, mask );
v = _mm256_add_ps( v, v2 );
_mm256_maskstore_ps( rdi, mask, v );
}
return;
}
else if( len == lenPattern )
{
for( ; rdi < rdiEndAligned; rdi += 8, b += 8 )
{
__m256 v = _mm256_loadu_ps( rdi );
__m256 v2 = _mm256_loadu_ps( b );
v = _mm256_add_ps( v, v2 );
_mm256_storeu_ps( rdi, v );
}
if( 0 != rem )
{
const __m256i mask = loadTailMaskInt( rem );
__m256 v = _mm256_maskload_ps( rdi, mask );
__m256 v2 = _mm256_maskload_ps( b, mask );
v = _mm256_add_ps( v, v2 );
_mm256_maskstore_ps( rdi, mask, v );
}
return;
}
else
{
// TODO: implement if this actually happens
throw E_NOTIMPL;
}
}
namespace
{
__forceinline __m256 gelu( __m256 x, const DirectCompute::LookupTablesData& lookup )
{
__m128i iv = _mm256_cvtps_ph( x, 0 );
alignas( 16 ) std::array<uint16_t, 8> arr;
_mm_store_si128( ( __m128i* )arr.data(), iv );
for( uint16_t& a : arr )
a = lookup.gelu[ a ];
iv = _mm_load_si128( ( __m128i* )arr.data() );
return _mm256_cvtph_ps( iv );
}
}
void addRepeatGeluRow( float* rdi, size_t len, const float* b, size_t lenPattern, const DirectCompute::LookupTablesData& lookup )
{
float* rdiEndAligned = rdi + ( len & maskAlign8 );
const size_t rem = len % 8;
if( 1 == lenPattern )
{
const __m256 v2 = _mm256_broadcast_ss( b );
for( ; rdi < rdiEndAligned; rdi += 8 )
{
__m256 v = _mm256_loadu_ps( rdi );
v = _mm256_add_ps( v, v2 );
v = gelu( v, lookup );
_mm256_storeu_ps( rdi, v );
}
if( 0 != rem )
{
const __m256i mask = loadTailMaskInt( rem );
__m256 v = _mm256_maskload_ps( rdi, mask );
v = _mm256_add_ps( v, v2 );
v = gelu( v, lookup );
_mm256_maskstore_ps( rdi, mask, v );
}
return;
}
else if( len == lenPattern )
{
for( ; rdi < rdiEndAligned; rdi += 8, b += 8 )
{
__m256 v = _mm256_loadu_ps( rdi );
__m256 v2 = _mm256_loadu_ps( b );
v = _mm256_add_ps( v, v2 );
v = gelu( v, lookup );
_mm256_storeu_ps( rdi, v );
}
if( 0 != rem )
{
const __m256i mask = loadTailMaskInt( rem );
__m256 v = _mm256_maskload_ps( rdi, mask );
__m256 v2 = _mm256_maskload_ps( b, mask );
v = _mm256_add_ps( v, v2 );
v = gelu( v, lookup );
_mm256_maskstore_ps( rdi, mask, v );
}
return;
}
else
{
// TODO: implement if this actually happens
throw E_NOTIMPL;
}
}
void __vectorcall scaleRow( float* rdi, size_t len, const __m256 scale )
{
float* rdiEndAligned = rdi + ( len & maskAlign8 );
const size_t rem = len % 8;
for( ; rdi < rdiEndAligned; rdi += 8 )
{
__m256 v = _mm256_loadu_ps( rdi );
v = _mm256_mul_ps( v, scale );
_mm256_storeu_ps( rdi, v );
}
if( 0 != rem )
{
const __m256i mask = loadTailMaskInt( rem );
__m256 v = _mm256_maskload_ps( rdi, mask );
v = _mm256_mul_ps( v, scale );
_mm256_maskstore_ps( rdi, mask, v );
}
}
namespace
{
using DirectCompute::LookupTablesData;
__forceinline float horizontalMax( __m256 vec )
{
__m128 v = _mm256_extractf128_ps( vec, 1 );
v = _mm_max_ps( v, _mm256_castps256_ps128( vec ) );
v = _mm_max_ps( v, _mm_movehl_ps( v, v ) );
v = _mm_max_ss( v, _mm_movehdup_ps( v ) );
return _mm_cvtss_f32( v );
}
__forceinline float _cvtsh_ss( uint16_t f16 )
{
__m128i i = _mm_cvtsi32_si128( f16 );
__m128 f = _mm_cvtph_ps( i );
return _mm_cvtss_f32( f );
}
__forceinline uint16_t _cvtss_sh( float f, int rounding )
{
assert( 0 == rounding );
__m128 v = _mm_set_ss( f );
__m128i i = _mm_cvtps_ph( v, 0 );
return (uint16_t)(uint32_t)_mm_cvtsi128_si32( i );
}
}
const LookupTablesData& getLookupTables()
{
static const std::unique_ptr<LookupTablesData> res = std::make_unique<LookupTablesData>();
return *res;
}
void softMax( float* rdi, size_t length, const float inputScale )
{
float* const rdiBegin = rdi;
float* const rdiEndAligned = rdi + ( length & maskAlign8 );
const size_t remainder = length % 8;
// First pass, compute maximum
__m256 max = _mm256_set1_ps( -INFINITY );
for( rdi = rdiBegin; rdi < rdiEndAligned; rdi += 8 )
{
__m256 v = _mm256_loadu_ps( rdi );
max = _mm256_max_ps( max, v );
}
__m256i tailMask;
if( 0 != remainder )
{
tailMask = loadTailMaskInt( remainder );
__m256 v = _mm256_maskload_ps( rdi, tailMask );
v = _mm256_max_ps( max, v );
max = _mm256_blendv_ps( max, v, _mm256_castsi256_ps( tailMask ) );
}
// Second pass: apply initial scale, compute the exponent, and compute total sum over the row
const LookupTablesData& lookup = getLookupTables();
const float maxScalar = horizontalMax( max );
float* const rdiEnd = rdiBegin + length;
double sum = 0;
for( rdi = rdiBegin; rdi < rdiEnd; rdi++ )
{
// Possible to vectorize, but relatively hard
// An easy way is upcast the complete lookup table to FP32 and then use two _mm256_i32gather_ps instructions per iteration
// However, that instruction is from AVX2 set. Let's hope this loop won't be a bottleneck.
float f = *rdi;
if( f != -INFINITY )
{
f = ( f - maxScalar ) * inputScale;
uint16_t f16 = _cvtss_sh( f, 0 );
f16 = lookup.exponent[ f16 ];
f = _cvtsh_ss( f16 );
sum += f;
}
else
f = 0;
*rdi = f;
}
// Final pass: apply the final scale
const __m256 finalScale = _mm256_set1_ps( (float)( 1.0 / sum ) );
for( rdi = rdiBegin; rdi < rdiEndAligned; rdi += 8 )
{
__m256 v = _mm256_loadu_ps( rdi );
v = _mm256_mul_ps( v, finalScale );
_mm256_storeu_ps( rdi, v );
}
if( 0 != remainder )
{
__m256 v = _mm256_maskload_ps( rdi, tailMask );
v = _mm256_mul_ps( v, finalScale );
_mm256_maskstore_ps( rdi, tailMask, v );
}
}
void floatsUpcast( float* rdi, const uint16_t* rsi, size_t length )
{
const uint16_t* rsiEndAligned = rsi + ( length & maskAlign8 );
const size_t rem = length % 8;
for( ; rsi < rsiEndAligned; rsi += 8, rdi += 8 )
_mm256_storeu_ps( rdi, load8( rsi ) );
if( 0 != rem )
{
__m256 v = loadPartial( rsi, rem );
_mm256_maskstore_ps( rdi, loadTailMaskInt( rem ), v );
}
}
void floatsDowncast( uint16_t* rdi, const float* rsi, size_t length )
{
const float* rsiEndAligned = rsi + ( length & maskAlign8 );
size_t rem = length % 8;
for( ; rsi < rsiEndAligned; rsi += 8, rdi += 8 )
{
__m256 vf = _mm256_loadu_ps( rsi );
__m128i vi = _mm256_cvtps_ph( vf, 0 );
store16( rdi, vi );
}
if( 0 != rem )
{
__m256 vf = _mm256_maskload_ps( rsi, loadTailMaskInt( rem ) );
__m128i vi = _mm256_cvtps_ph( vf, 0 );
for( size_t i = 0; i < rem; i++, rdi++ )
{
*rdi = (uint16_t)(uint32_t)_mm_cvtsi128_si32( vi );
vi = _mm_srli_si128( vi, 2 );
}
}
}
void addRowInPlace( float* rdi, const float* rsi, size_t length )
{
const float* rdiEndAligned = rdi + ( length & maskAlign8 );
size_t rem = length % 8;
for( ; rdi < rdiEndAligned; rdi += 8, rsi += 8 )
{
__m256 a = _mm256_loadu_ps( rdi );
__m256 b = _mm256_loadu_ps( rsi );
a = _mm256_add_ps( a, b );
_mm256_storeu_ps( rdi, a );
}
if( 0 != rem )
{
const __m256i mask = loadTailMaskInt( rem );
__m256 a = _mm256_maskload_ps( rdi, mask );
__m256 b = _mm256_maskload_ps( rsi, mask );
a = _mm256_add_ps( a, b );
_mm256_maskstore_ps( rdi, mask, a );
}
}
void addRow( float* rdi, const float* a, const float* b, size_t length )
{
const float* aEndAligned = a + ( length & maskAlign8 );
size_t rem = length % 8;
for( ; a < aEndAligned; a += 8, b += 8, rdi += 8 )
{
__m256 x = _mm256_loadu_ps( a );
__m256 y = _mm256_loadu_ps( b );
x = _mm256_add_ps( x, y );
_mm256_storeu_ps( rdi, x );
}
if( 0 != rem )
{
const __m256i mask = loadTailMaskInt( rem );
__m256 x = _mm256_maskload_ps( a, mask );
__m256 y = _mm256_maskload_ps( b, mask );
x = _mm256_add_ps( x, y );
_mm256_maskstore_ps( rdi, mask, x );
}
}
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