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/******************************************************************************
* $Id: gdalgridsse.cpp 29913 2015-08-29 21:16:44Z 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_SSE_AT_COMPILE_TIME
#include <xmmintrin.h>
CPL_CVSID("$Id: gdalgridsse.cpp 29913 2015-08-29 21:16:44Z rouault $");
/************************************************************************/
/* GDALGridInverseDistanceToAPower2NoSmoothingNoSearchSSE() */
/************************************************************************/
CPLErr
GDALGridInverseDistanceToAPower2NoSmoothingNoSearchSSE(
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 __m128 xmm_small = _mm_load1_ps((float*)&fEpsilon);
const __m128 xmm_x = _mm_load1_ps((float*)&fXPoint);
const __m128 xmm_y = _mm_load1_ps((float*)&fYPoint);
__m128 xmm_nominator = _mm_setzero_ps();
__m128 xmm_denominator = _mm_setzero_ps();
int mask = 0;
#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 8
size_t nPointsRound = (nPoints / LOOP_SIZE) * LOOP_SIZE;
for ( i = 0; i < nPointsRound; i += LOOP_SIZE )
{
__m128 xmm_rx = _mm_sub_ps(_mm_load_ps(pafX + i), xmm_x); /* rx = pafX[i] - fXPoint */
__m128 xmm_rx_4 = _mm_sub_ps(_mm_load_ps(pafX + i + 4), xmm_x);
__m128 xmm_ry = _mm_sub_ps(_mm_load_ps(pafY + i), xmm_y); /* ry = pafY[i] - fYPoint */
__m128 xmm_ry_4 = _mm_sub_ps(_mm_load_ps(pafY + i + 4), xmm_y);
__m128 xmm_r2 = _mm_add_ps(_mm_mul_ps(xmm_rx, xmm_rx), /* r2 = rx * rx + ry * ry */
_mm_mul_ps(xmm_ry, xmm_ry));
__m128 xmm_r2_4 = _mm_add_ps(_mm_mul_ps(xmm_rx_4, xmm_rx_4),
_mm_mul_ps(xmm_ry_4, xmm_ry_4));
__m128 xmm_invr2 = _mm_rcp_ps(xmm_r2); /* invr2 = 1.0f / r2 */
__m128 xmm_invr2_4 = _mm_rcp_ps(xmm_r2_4);
xmm_nominator = _mm_add_ps(xmm_nominator, /* nominator += invr2 * pafZ[i] */
_mm_mul_ps(xmm_invr2, _mm_load_ps(pafZ + i)));
xmm_nominator = _mm_add_ps(xmm_nominator,
_mm_mul_ps(xmm_invr2_4, _mm_load_ps(pafZ + i + 4)));
xmm_denominator = _mm_add_ps(xmm_denominator, xmm_invr2); /* denominator += invr2 */
xmm_denominator = _mm_add_ps(xmm_denominator, xmm_invr2_4);
mask = _mm_movemask_ps(_mm_cmplt_ps(xmm_r2, xmm_small)) | /* if( r2 < fEpsilon) */
(_mm_movemask_ps(_mm_cmplt_ps(xmm_r2_4, xmm_small)) << 4);
if( mask )
break;
}
#else
#define LOOP_SIZE 4
size_t nPointsRound = (nPoints / LOOP_SIZE) * LOOP_SIZE;
for ( i = 0; i < nPointsRound; i += LOOP_SIZE )
{
__m128 xmm_rx = _mm_sub_ps(_mm_load_ps((float*)pafX + i), xmm_x); /* rx = pafX[i] - fXPoint */
__m128 xmm_ry = _mm_sub_ps(_mm_load_ps((float*)pafY + i), xmm_y); /* ry = pafY[i] - fYPoint */
__m128 xmm_r2 = _mm_add_ps(_mm_mul_ps(xmm_rx, xmm_rx), /* r2 = rx * rx + ry * ry */
_mm_mul_ps(xmm_ry, xmm_ry));
__m128 xmm_invr2 = _mm_rcp_ps(xmm_r2); /* invr2 = 1.0f / r2 */
xmm_nominator = _mm_add_ps(xmm_nominator, /* nominator += invr2 * pafZ[i] */
_mm_mul_ps(xmm_invr2, _mm_load_ps((float*)pafZ + i)));
xmm_denominator = _mm_add_ps(xmm_denominator, xmm_invr2); /* denominator += invr2 */
mask = _mm_movemask_ps(_mm_cmplt_ps(xmm_r2, xmm_small)); /* 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];
return CE_None;
}
}
}
/* Get back nominator and denominator values for XMM registers */
float afNominator[4], afDenominator[4];
_mm_storeu_ps(afNominator, xmm_nominator);
_mm_storeu_ps(afDenominator, xmm_denominator);
float fNominator = afNominator[0] + afNominator[1] +
afNominator[2] + afNominator[3];
float fDenominator = afDenominator[0] + afDenominator[1] +
afDenominator[2] + afDenominator[3];
/* 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;
return CE_None;
}
#endif /* HAVE_SSE_AT_COMPILE_TIME */
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