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/******************************************************************************
* $Id: gdalgridavx.cpp 31631 2015-11-18 17:55:29Z rouault $
*
* Project: GDAL Gridding API.
* Purpose: Implementation of GDAL scattered data gridder.
* Author: Even Rouault, <even dot rouault at mines dash paris dot org>
*
******************************************************************************
* Copyright (c) 2013, Even Rouault <even dot rouault at mines-paris dot org>
*
* 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.
****************************************************************************/
#include "gdalgrid.h"
#include "gdalgrid_priv.h"
#ifdef HAVE_AVX_AT_COMPILE_TIME
#include <immintrin.h>
CPL_CVSID("$Id: gdalgridavx.cpp 31631 2015-11-18 17:55:29Z rouault $");
/************************************************************************/
/* GDALGridInverseDistanceToAPower2NoSmoothingNoSearchAVX() */
/************************************************************************/
#define GDAL_mm256_load1_ps(x) _mm256_set_ps(x, x, x, x, x, x, x, x)
CPLErr
GDALGridInverseDistanceToAPower2NoSmoothingNoSearchAVX(
const void *poOptions,
GUInt32 nPoints,
CPL_UNUSED const double *unused_padfX,
CPL_UNUSED const double *unused_padfY,
CPL_UNUSED const double *unused_padfZ,
double dfXPoint, double dfYPoint,
double *pdfValue,
void* hExtraParamsIn )
{
size_t i = 0;
GDALGridExtraParameters* psExtraParams = (GDALGridExtraParameters*) hExtraParamsIn;
const float* pafX = psExtraParams->pafX;
const float* pafY = psExtraParams->pafY;
const float* pafZ = psExtraParams->pafZ;
const float fEpsilon = 0.0000000000001f;
const float fXPoint = (float)dfXPoint;
const float fYPoint = (float)dfYPoint;
const __m256 ymm_small = GDAL_mm256_load1_ps(fEpsilon);
const __m256 ymm_x = GDAL_mm256_load1_ps(fXPoint);
const __m256 ymm_y = GDAL_mm256_load1_ps(fYPoint);
__m256 ymm_nominator = _mm256_setzero_ps();
__m256 ymm_denominator = _mm256_setzero_ps();
int mask = 0;
#undef LOOP_SIZE
#if defined(__x86_64) || defined(_M_X64)
/* This would also work in 32bit mode, but there are only 8 XMM registers */
/* whereas we have 16 for 64bit */
#define LOOP_SIZE 16
size_t nPointsRound = (nPoints / LOOP_SIZE) * LOOP_SIZE;
for ( i = 0; i < nPointsRound; i += LOOP_SIZE )
{
__m256 ymm_rx = _mm256_sub_ps(_mm256_load_ps(pafX + i), ymm_x); /* rx = pafX[i] - fXPoint */
__m256 ymm_rx_8 = _mm256_sub_ps(_mm256_load_ps(pafX + i + 8), ymm_x);
__m256 ymm_ry = _mm256_sub_ps(_mm256_load_ps(pafY + i), ymm_y); /* ry = pafY[i] - fYPoint */
__m256 ymm_ry_8 = _mm256_sub_ps(_mm256_load_ps(pafY + i + 8), ymm_y);
__m256 ymm_r2 = _mm256_add_ps(_mm256_mul_ps(ymm_rx, ymm_rx), /* r2 = rx * rx + ry * ry */
_mm256_mul_ps(ymm_ry, ymm_ry));
__m256 ymm_r2_8 = _mm256_add_ps(_mm256_mul_ps(ymm_rx_8, ymm_rx_8),
_mm256_mul_ps(ymm_ry_8, ymm_ry_8));
__m256 ymm_invr2 = _mm256_rcp_ps(ymm_r2); /* invr2 = 1.0f / r2 */
__m256 ymm_invr2_8 = _mm256_rcp_ps(ymm_r2_8);
ymm_nominator = _mm256_add_ps(ymm_nominator, /* nominator += invr2 * pafZ[i] */
_mm256_mul_ps(ymm_invr2, _mm256_load_ps(pafZ + i)));
ymm_nominator = _mm256_add_ps(ymm_nominator,
_mm256_mul_ps(ymm_invr2_8, _mm256_load_ps(pafZ + i + 8)));
ymm_denominator = _mm256_add_ps(ymm_denominator, ymm_invr2); /* denominator += invr2 */
ymm_denominator = _mm256_add_ps(ymm_denominator, ymm_invr2_8);
mask = _mm256_movemask_ps(_mm256_cmp_ps(ymm_r2, ymm_small, _CMP_LT_OS)) | /* if( r2 < fEpsilon) */
(_mm256_movemask_ps(_mm256_cmp_ps(ymm_r2_8, ymm_small, _CMP_LT_OS)) << 8);
if( mask )
break;
}
#else
#define LOOP_SIZE 8
size_t nPointsRound = (nPoints / LOOP_SIZE) * LOOP_SIZE;
for ( i = 0; i < nPointsRound; i += LOOP_SIZE )
{
__m256 ymm_rx = _mm256_sub_ps(_mm256_load_ps((float*)pafX + i), ymm_x); /* rx = pafX[i] - fXPoint */
__m256 ymm_ry = _mm256_sub_ps(_mm256_load_ps((float*)pafY + i), ymm_y); /* ry = pafY[i] - fYPoint */
__m256 ymm_r2 = _mm256_add_ps(_mm256_mul_ps(ymm_rx, ymm_rx), /* r2 = rx * rx + ry * ry */
_mm256_mul_ps(ymm_ry, ymm_ry));
__m256 ymm_invr2 = _mm256_rcp_ps(ymm_r2); /* invr2 = 1.0f / r2 */
ymm_nominator = _mm256_add_ps(ymm_nominator, /* nominator += invr2 * pafZ[i] */
_mm256_mul_ps(ymm_invr2, _mm256_load_ps((float*)pafZ + i)));
ymm_denominator = _mm256_add_ps(ymm_denominator, ymm_invr2); /* denominator += invr2 */
mask = _mm256_movemask_ps(_mm256_cmp_ps(ymm_r2, ymm_small, _CMP_LT_OS)); /* if( r2 < fEpsilon) */
if( mask )
break;
}
#endif
/* Find which i triggered r2 < fEpsilon */
if( mask )
{
for(int j = 0; j < LOOP_SIZE; j++ )
{
if( mask & (1 << j) )
{
(*pdfValue) = (pafZ)[i + j];
// GCC and MSVC need explicit zeroing
#if !defined(__clang__)
_mm256_zeroupper();
#endif
return CE_None;
}
}
}
#undef LOOP_SIZE
/* Get back nominator and denominator values for YMM registers */
float afNominator[8], afDenominator[8];
_mm256_storeu_ps(afNominator, ymm_nominator);
_mm256_storeu_ps(afDenominator, ymm_denominator);
// MSVC doesn't emit AVX afterwards but may use SSE, so clear upper bits
// Other compilers will continue using AVX for the below floating points operations
#if defined(_MSC_FULL_VER)
_mm256_zeroupper();
#endif
float fNominator = afNominator[0] + afNominator[1] +
afNominator[2] + afNominator[3] +
afNominator[4] + afNominator[5] +
afNominator[6] + afNominator[7];
float fDenominator = afDenominator[0] + afDenominator[1] +
afDenominator[2] + afDenominator[3] +
afDenominator[4] + afDenominator[5] +
afDenominator[6] + afDenominator[7];
/* Do the few remaining loop iterations */
for ( ; i < nPoints; i++ )
{
const float fRX = pafX[i] - fXPoint;
const float fRY = pafY[i] - fYPoint;
const float fR2 =
fRX * fRX + fRY * fRY;
// If the test point is close to the grid node, use the point
// value directly as a node value to avoid singularity.
if ( fR2 < 0.0000000000001 )
{
break;
}
else
{
const float fInvR2 = 1.0f / fR2;
fNominator += fInvR2 * pafZ[i];
fDenominator += fInvR2;
}
}
if( i != nPoints )
{
(*pdfValue) = pafZ[i];
}
else
if ( fDenominator == 0.0 )
{
(*pdfValue) =
((GDALGridInverseDistanceToAPowerOptions*)poOptions)->dfNoDataValue;
}
else
(*pdfValue) = fNominator / fDenominator;
// GCC needs explicit zeroing
#if defined(__GNUC__) && !defined(__clang__)
_mm256_zeroupper();
#endif
return CE_None;
}
#endif /* HAVE_AVX_AT_COMPILE_TIME */
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