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Copy pathWavelet_Transform_Fast.cpp
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280 lines (264 loc) · 8.8 KB
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//
// This code implements a fast 3D wavelet transform based on Antonini's 7-9 tap filter.
// This code performs the same functions as the subroutine ChvDs79 in Ergas et.al. ChvCompress code.
// In order to get maximum performance out of the code, only block sizes that are powers of two
// between 8 and 256 are supported.
// This means the smallest supported block is 8x8x8 and the largest is 256x256x256.
//
// Base functions for wavelet transform. These were auto-generated.
#include "Ds79_Base.cpp"
#include "Us79_Base.cpp"
void Wavelet_Transform_Fast_Forward(
__m256* work,
__m256* tmp,
int bx,
int by,
int bz
)
{
int _mm_bx = bx >> 2;
int _mm256_bx = bx >> 3;
int _mm256_stride_y = _mm256_bx;
for (int iz = 0; iz < bz; ++iz)
{
// x
for (int iy = 0; iy < by; iy+=8)
{
__m128* data = ((__m128*)work) + (iz*by + iy) * _mm_bx;
for (int ix = 0; ix < _mm_bx; ++ix)
{
__m128 v0 = data[ix];
__m128 v1 = data[ix+_mm_bx];
__m128 v2 = data[ix+2*_mm_bx];
__m128 v3 = data[ix+3*_mm_bx];
_MM_TRANSPOSE4_PS(v0,v1,v2,v3);
__m128 v4 = data[ix+4*_mm_bx];
__m128 v5 = data[ix+5*_mm_bx];
__m128 v6 = data[ix+6*_mm_bx];
__m128 v7 = data[ix+7*_mm_bx];
_MM_TRANSPOSE4_PS(v4,v5,v6,v7);
tmp[ix*4] = _mm256_insertf128_ps(_mm256_castps128_ps256(v0),v4,1);
tmp[ix*4+1] = _mm256_insertf128_ps(_mm256_castps128_ps256(v1),v5,1);
tmp[ix*4+2] = _mm256_insertf128_ps(_mm256_castps128_ps256(v2),v6,1);
tmp[ix*4+3] = _mm256_insertf128_ps(_mm256_castps128_ps256(v3),v7,1);
}
if (bx >= 256) _Ds79_AVX_256(tmp, 1);
if (bx >= 128) _Ds79_AVX_128(tmp, 1);
if (bx >= 64) _Ds79_AVX_64(tmp, 1);
if (bx >= 32) _Ds79_AVX_32(tmp, 1);
if (bx >= 16) _Ds79_AVX_16(tmp, 1);
_Ds79_AVX_8(tmp,1);
_Ds79_AVX_4(tmp,1);
_Ds79_AVX_2(tmp,1);
for (int ix = 0; ix < _mm_bx; ++ix)
{
__m256 lv0 = tmp[ix*4];
__m256 lv1 = tmp[ix*4+1];
__m256 lv2 = tmp[ix*4+2];
__m256 lv3 = tmp[ix*4+3];
__m128 v0 = _mm256_extractf128_ps(lv0,0);
__m128 v1 = _mm256_extractf128_ps(lv1,0);
__m128 v2 = _mm256_extractf128_ps(lv2,0);
__m128 v3 = _mm256_extractf128_ps(lv3,0);
_MM_TRANSPOSE4_PS(v0,v1,v2,v3);
__m128 v4 = _mm256_extractf128_ps(lv0,1);
__m128 v5 = _mm256_extractf128_ps(lv1,1);
__m128 v6 = _mm256_extractf128_ps(lv2,1);
__m128 v7 = _mm256_extractf128_ps(lv3,1);
_MM_TRANSPOSE4_PS(v4,v5,v6,v7);
data[ix] = v0;
data[ix+_mm_bx] = v1;
data[ix+2*_mm_bx] = v2;
data[ix+3*_mm_bx] = v3;
data[ix+4*_mm_bx] = v4;
data[ix+5*_mm_bx] = v5;
data[ix+6*_mm_bx] = v6;
data[ix+7*_mm_bx] = v7;
}
}
// y
__m256* data = work + iz*by*_mm256_bx;
for (int ix = 0; ix < _mm256_bx; ++ix)
{
if (by >= 256) _Ds79_AVX_256(data+ix, _mm256_stride_y);
if (by >= 128) _Ds79_AVX_128(data+ix, _mm256_stride_y);
if (by >= 64) _Ds79_AVX_64(data+ix, _mm256_stride_y);
if (by >= 32) _Ds79_AVX_32(data+ix, _mm256_stride_y);
if (by >= 16) _Ds79_AVX_16(data+ix, _mm256_stride_y);
_Ds79_AVX_8(data+ix, _mm256_stride_y);
_Ds79_AVX_4(data+ix, _mm256_stride_y);
_Ds79_AVX_2(data+ix, _mm256_stride_y);
}
}
// z
if (bz > 1)
{
int _mm256_stride_z = by * _mm256_bx;
for (int iy = 0; iy < by; ++iy)
{
__m256* data = work + iy*_mm256_bx;
if ((bx*by) >= 1024 && ((bx*by)&1023) == 0)
{
// z stride is a multiple of 4096 bytes.
// this is bad because all values along the Z axis maps to the same cache page.
// this reduces effective L1 cache size from 32KB to 0.5KB and has negative effects
// on L2 cache as well. We prevent this by copying the inputs to a temporary buffer.
for (int ix = 0; ix < _mm256_bx; ++ix)
{
for (int iz = 0; iz < bz; ++iz) tmp[iz] = data[iz*_mm256_stride_z+ix];
if (bz >= 256) _Ds79_AVX_256(tmp, 1);
if (bz >= 128) _Ds79_AVX_128(tmp, 1);
if (bz >= 64) _Ds79_AVX_64(tmp, 1);
if (bz >= 32) _Ds79_AVX_32(tmp, 1);
if (bz >= 16) _Ds79_AVX_16(tmp, 1);
// smallest block size is 8, so no need to test for anything less than that.
_Ds79_AVX_8(tmp, 1);
_Ds79_AVX_4(tmp, 1);
_Ds79_AVX_2(tmp, 1);
for (int iz = 0; iz < bz; ++iz) data[iz*_mm256_stride_z+ix] = tmp[iz];
}
}
else
{
for (int ix = 0; ix < _mm256_bx; ++ix)
{
if (bz >= 256) _Ds79_AVX_256(data+ix, _mm256_stride_z);
if (bz >= 128) _Ds79_AVX_128(data+ix, _mm256_stride_z);
if (bz >= 64) _Ds79_AVX_64(data+ix, _mm256_stride_z);
if (bz >= 32) _Ds79_AVX_32(data+ix, _mm256_stride_z);
if (bz >= 16) _Ds79_AVX_16(data+ix, _mm256_stride_z);
// smallest block size is 8, so no need to test for anything less than that.
_Ds79_AVX_8(data+ix, _mm256_stride_z);
_Ds79_AVX_4(data+ix, _mm256_stride_z);
_Ds79_AVX_2(data+ix, _mm256_stride_z);
}
}
}
}
}
void Wavelet_Transform_Fast_Inverse(
__m256* work,
__m256* tmp,
int bx,
int by,
int bz
)
{
int _mm_bx = bx >> 2;
int _mm256_bx = bx >> 3;
int _mm256_stride_y = _mm256_bx;
for (int iz = 0; iz < bz; ++iz)
{
// x
for (int iy = 0; iy < by; iy+=8)
{
__m128* data = ((__m128*)work) + (iz*by + iy) * _mm_bx;
for (int ix = 0; ix < _mm_bx; ++ix)
{
__m128 v0 = data[ix];
__m128 v1 = data[ix+_mm_bx];
__m128 v2 = data[ix+2*_mm_bx];
__m128 v3 = data[ix+3*_mm_bx];
_MM_TRANSPOSE4_PS(v0,v1,v2,v3);
__m128 v4 = data[ix+4*_mm_bx];
__m128 v5 = data[ix+5*_mm_bx];
__m128 v6 = data[ix+6*_mm_bx];
__m128 v7 = data[ix+7*_mm_bx];
_MM_TRANSPOSE4_PS(v4,v5,v6,v7);
tmp[ix*4] = _mm256_insertf128_ps(_mm256_castps128_ps256(v0),v4,1);
tmp[ix*4+1] = _mm256_insertf128_ps(_mm256_castps128_ps256(v1),v5,1);
tmp[ix*4+2] = _mm256_insertf128_ps(_mm256_castps128_ps256(v2),v6,1);
tmp[ix*4+3] = _mm256_insertf128_ps(_mm256_castps128_ps256(v3),v7,1);
}
_Us79_AVX_2(tmp,1);
_Us79_AVX_4(tmp,1);
_Us79_AVX_8(tmp,1);
if (bx >= 16) _Us79_AVX_16(tmp,1);
if (bx >= 32) _Us79_AVX_32(tmp,1);
if (bx >= 64) _Us79_AVX_64(tmp,1);
if (bx >= 128) _Us79_AVX_128(tmp,1);
if (bx >= 256) _Us79_AVX_256(tmp,1);
for (int ix = 0; ix < _mm_bx; ++ix)
{
__m256 lv0 = tmp[ix*4];
__m256 lv1 = tmp[ix*4+1];
__m256 lv2 = tmp[ix*4+2];
__m256 lv3 = tmp[ix*4+3];
__m128 v0 = _mm256_extractf128_ps(lv0,0);
__m128 v1 = _mm256_extractf128_ps(lv1,0);
__m128 v2 = _mm256_extractf128_ps(lv2,0);
__m128 v3 = _mm256_extractf128_ps(lv3,0);
_MM_TRANSPOSE4_PS(v0,v1,v2,v3);
__m128 v4 = _mm256_extractf128_ps(lv0,1);
__m128 v5 = _mm256_extractf128_ps(lv1,1);
__m128 v6 = _mm256_extractf128_ps(lv2,1);
__m128 v7 = _mm256_extractf128_ps(lv3,1);
_MM_TRANSPOSE4_PS(v4,v5,v6,v7);
data[ix] = v0;
data[ix+_mm_bx] = v1;
data[ix+2*_mm_bx] = v2;
data[ix+3*_mm_bx] = v3;
data[ix+4*_mm_bx] = v4;
data[ix+5*_mm_bx] = v5;
data[ix+6*_mm_bx] = v6;
data[ix+7*_mm_bx] = v7;
}
}
// y
__m256* data = work + iz*by*_mm256_bx;
for (int ix = 0; ix < _mm256_bx; ++ix)
{
_Us79_AVX_2(data+ix, _mm256_stride_y);
_Us79_AVX_4(data+ix, _mm256_stride_y);
_Us79_AVX_8(data+ix, _mm256_stride_y);
if (by >= 16) _Us79_AVX_16(data+ix, _mm256_stride_y);
if (by >= 32) _Us79_AVX_32(data+ix, _mm256_stride_y);
if (by >= 64) _Us79_AVX_64(data+ix, _mm256_stride_y);
if (by >= 128) _Us79_AVX_128(data+ix, _mm256_stride_y);
if (by >= 256) _Us79_AVX_256(data+ix, _mm256_stride_y);
}
}
// z
if (bz > 1)
{
int _mm256_stride_z = by * _mm256_bx;
for (int iy = 0; iy < by; ++iy)
{
__m256* data = work + iy*_mm256_bx;
if ((bx*by) >= 1024 && ((bx*by)&1023) == 0)
{
// z stride is a multiple of 4096 bytes.
// this is bad because all values along the Z axis maps to the same cache page.
// this reduces effective L1 cache size from 32KB to 0.5KB and has negative effects
// on L2 cache as well. We prevent this by copying the inputs to a temporary buffer.
for (int ix = 0; ix < _mm256_bx; ++ix)
{
for (int iz = 0; iz < bz; ++iz) tmp[iz] = data[iz*_mm256_stride_z+ix];
_Us79_AVX_2(tmp, 1);
_Us79_AVX_4(tmp, 1);
_Us79_AVX_8(tmp, 1);
if (bz >= 16) _Us79_AVX_16(tmp, 1);
if (bz >= 32) _Us79_AVX_32(tmp, 1);
if (bz >= 64) _Us79_AVX_64(tmp, 1);
if (bz >= 128) _Us79_AVX_128(tmp, 1);
if (bz >= 256) _Us79_AVX_256(tmp, 1);
for (int iz = 0; iz < bz; ++iz) data[iz*_mm256_stride_z+ix] = tmp[iz];
}
}
else
{
for (int ix = 0; ix < _mm256_bx; ++ix)
{
_Us79_AVX_2(data+ix, _mm256_stride_z);
_Us79_AVX_4(data+ix, _mm256_stride_z);
_Us79_AVX_8(data+ix, _mm256_stride_z);
if (bz >= 16) _Us79_AVX_16(data+ix, _mm256_stride_z);
if (bz >= 32) _Us79_AVX_32(data+ix, _mm256_stride_z);
if (bz >= 64) _Us79_AVX_64(data+ix, _mm256_stride_z);
if (bz >= 128) _Us79_AVX_128(data+ix, _mm256_stride_z);
if (bz >= 256) _Us79_AVX_256(data+ix, _mm256_stride_z);
}
}
}
}
}