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gdalgeoloc.cpp
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/******************************************************************************
*
* Project: GDAL
* Purpose: Implements Geolocation array based transformer.
* Author: Frank Warmerdam, [email protected]
*
******************************************************************************
* Copyright (c) 2006, Frank Warmerdam <[email protected]>
* Copyright (c) 2007-2013, Even Rouault <even dot rouault at spatialys.com>
* Copyright (c) 2021, CLS
* Copyright (c) 2022, Planet Labs
*
* SPDX-License-Identifier: MIT
****************************************************************************/
#include "cpl_port.h"
#include "gdal_alg.h"
#include "gdal_alg_priv.h"
#include "gdalgeoloc.h"
#include "gdalgeolocquadtree.h"
#include <climits>
#include <cmath>
#include <cstddef>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <limits>
#include "cpl_conv.h"
#include "cpl_error.h"
#include "cpl_minixml.h"
#include "cpl_quad_tree.h"
#include "cpl_string.h"
#include "cpl_vsi.h"
#include "gdal.h"
#include "gdal_priv.h"
#include "memdataset.h"
constexpr float INVALID_BMXY = -10.0f;
#include "gdalgeoloc_carray_accessor.h"
#include "gdalgeoloc_dataset_accessor.h"
// #define DEBUG_GEOLOC
#ifdef DEBUG_GEOLOC
#include "ogrsf_frmts.h"
#endif
#ifdef DEBUG_GEOLOC
#warning "Remove me before committing"
#endif
CPL_C_START
CPLXMLNode *GDALSerializeGeoLocTransformer(void *pTransformArg);
void *GDALDeserializeGeoLocTransformer(CPLXMLNode *psTree);
CPL_C_END
/************************************************************************/
/* ==================================================================== */
/* GDALGeoLocTransformer */
/* ==================================================================== */
/************************************************************************/
/************************************************************************/
/* UnshiftGeoX() */
/************************************************************************/
// Renormalize longitudes to [-180,180] range
static double UnshiftGeoX(const GDALGeoLocTransformInfo *psTransform,
double dfX)
{
if (!psTransform->bGeographicSRSWithMinus180Plus180LongRange)
return dfX;
if (dfX > 180)
return dfX - 360;
if (dfX < -180)
return dfX + 360;
return dfX;
}
/************************************************************************/
/* UpdateMinMax() */
/************************************************************************/
inline void UpdateMinMax(GDALGeoLocTransformInfo *psTransform, double dfGeoLocX,
double dfGeoLocY)
{
if (dfGeoLocX < psTransform->dfMinX)
{
psTransform->dfMinX = dfGeoLocX;
psTransform->dfYAtMinX = dfGeoLocY;
}
if (dfGeoLocX > psTransform->dfMaxX)
{
psTransform->dfMaxX = dfGeoLocX;
psTransform->dfYAtMaxX = dfGeoLocY;
}
if (dfGeoLocY < psTransform->dfMinY)
{
psTransform->dfMinY = dfGeoLocY;
psTransform->dfXAtMinY = dfGeoLocX;
}
if (dfGeoLocY > psTransform->dfMaxY)
{
psTransform->dfMaxY = dfGeoLocY;
psTransform->dfXAtMaxY = dfGeoLocX;
}
}
/************************************************************************/
/* Clamp() */
/************************************************************************/
inline double Clamp(double v, double minV, double maxV)
{
return std::min(std::max(v, minV), maxV);
}
/************************************************************************/
/* START_ITER_PER_BLOCK() */
/************************************************************************/
#define START_ITER_PER_BLOCK(_rasterXSize, _tileXSize, _rasterYSize, \
_tileYSize, INIT_YBLOCK, _iXStart, _iXEnd, \
_iYStart, _iYEnd) \
{ \
const int _nYBlocks = DIV_ROUND_UP(_rasterYSize, _tileYSize); \
const int _nXBlocks = DIV_ROUND_UP(_rasterXSize, _tileXSize); \
for (int _iYBlock = 0; _iYBlock < _nYBlocks; ++_iYBlock) \
{ \
const int _iYStart = _iYBlock * _tileYSize; \
const int _iYEnd = _iYBlock == _nYBlocks - 1 \
? _rasterYSize \
: _iYStart + _tileYSize; \
INIT_YBLOCK; \
for (int _iXBlock = 0; _iXBlock < _nXBlocks; ++_iXBlock) \
{ \
const int _iXStart = _iXBlock * _tileXSize; \
const int _iXEnd = _iXBlock == _nXBlocks - 1 \
? _rasterXSize \
: _iXStart + _tileXSize;
#define END_ITER_PER_BLOCK \
} \
} \
}
/************************************************************************/
/* GDALGeoLoc::LoadGeolocFinish() */
/************************************************************************/
/*! @cond Doxygen_Suppress */
template <class Accessors>
void GDALGeoLoc<Accessors>::LoadGeolocFinish(
GDALGeoLocTransformInfo *psTransform)
{
auto pAccessors = static_cast<Accessors *>(psTransform->pAccessors);
CSLConstList papszGeolocationInfo = psTransform->papszGeolocationInfo;
/* -------------------------------------------------------------------- */
/* Scan forward map for lat/long extents. */
/* -------------------------------------------------------------------- */
psTransform->dfMinX = std::numeric_limits<double>::max();
psTransform->dfMaxX = -std::numeric_limits<double>::max();
psTransform->dfMinY = std::numeric_limits<double>::max();
psTransform->dfMaxY = -std::numeric_limits<double>::max();
constexpr int TILE_SIZE = GDALGeoLocDatasetAccessors::TILE_SIZE;
START_ITER_PER_BLOCK(psTransform->nGeoLocXSize, TILE_SIZE,
psTransform->nGeoLocYSize, TILE_SIZE, (void)0, iXStart,
iXEnd, iYStart, iYEnd)
{
for (int iY = iYStart; iY < iYEnd; ++iY)
{
for (int iX = iXStart; iX < iXEnd; ++iX)
{
const auto dfX = pAccessors->geolocXAccessor.Get(iX, iY);
if (!psTransform->bHasNoData || dfX != psTransform->dfNoDataX)
{
UpdateMinMax(psTransform, dfX,
pAccessors->geolocYAccessor.Get(iX, iY));
}
}
}
}
END_ITER_PER_BLOCK
// Check if the SRS is geographic and the geoloc longitudes are in
// [-180,180]
psTransform->bGeographicSRSWithMinus180Plus180LongRange = false;
const char *pszSRS = CSLFetchNameValue(papszGeolocationInfo, "SRS");
if (pszSRS && psTransform->dfMinX >= -180.0 &&
psTransform->dfMaxX <= 180.0 && !psTransform->bSwapXY)
{
OGRSpatialReference oSRS;
psTransform->bGeographicSRSWithMinus180Plus180LongRange =
oSRS.importFromWkt(pszSRS) == OGRERR_NONE &&
CPL_TO_BOOL(oSRS.IsGeographic());
}
#ifdef DEBUG_GEOLOC
if (CPLTestBool(CPLGetConfigOption("GEOLOC_DUMP", "NO")))
{
auto poDS = std::unique_ptr<GDALDataset>(
GDALDriver::FromHandle(GDALGetDriverByName("ESRI Shapefile"))
->Create("/tmp/geoloc_poly.shp", 0, 0, 0, GDT_Unknown,
nullptr));
auto poLayer =
poDS->CreateLayer("geoloc_poly", nullptr, wkbPolygon, nullptr);
auto poLayerDefn = poLayer->GetLayerDefn();
OGRFieldDefn fieldX("x", OFTInteger);
poLayer->CreateField(&fieldX);
OGRFieldDefn fieldY("y", OFTInteger);
poLayer->CreateField(&fieldY);
for (int iY = 0; iY < psTransform->nGeoLocYSize - 1; iY++)
{
for (int iX = 0; iX < psTransform->nGeoLocXSize - 1; iX++)
{
double x0, y0, x1, y1, x2, y2, x3, y3;
if (!PixelLineToXY(psTransform, iX, iY, x0, y0) ||
!PixelLineToXY(psTransform, iX + 1, iY, x2, y2) ||
!PixelLineToXY(psTransform, iX, iY + 1, x1, y1) ||
!PixelLineToXY(psTransform, iX + 1, iY + 1, x3, y3))
{
break;
}
if (psTransform->bGeographicSRSWithMinus180Plus180LongRange &&
std::fabs(x0) > 170 && std::fabs(x1) > 170 &&
std::fabs(x2) > 170 && std::fabs(x3) > 170 &&
(std::fabs(x1 - x0) > 180 || std::fabs(x2 - x0) > 180 ||
std::fabs(x3 - x0) > 180))
{
OGRPolygon *poPoly = new OGRPolygon();
OGRLinearRing *poRing = new OGRLinearRing();
poRing->addPoint(x0 > 0 ? x0 : x0 + 360, y0);
poRing->addPoint(x2 > 0 ? x2 : x2 + 360, y2);
poRing->addPoint(x3 > 0 ? x3 : x3 + 360, y3);
poRing->addPoint(x1 > 0 ? x1 : x1 + 360, y1);
poRing->addPoint(x0 > 0 ? x0 : x0 + 360, y0);
poPoly->addRingDirectly(poRing);
auto poFeature = std::make_unique<OGRFeature>(poLayerDefn);
poFeature->SetField(0, static_cast<int>(iX));
poFeature->SetField(1, static_cast<int>(iY));
poFeature->SetGeometryDirectly(poPoly);
CPL_IGNORE_RET_VAL(poLayer->CreateFeature(poFeature.get()));
if (x0 > 0)
x0 -= 360;
if (x1 > 0)
x1 -= 360;
if (x2 > 0)
x2 -= 360;
if (x3 > 0)
x3 -= 360;
}
OGRPolygon *poPoly = new OGRPolygon();
OGRLinearRing *poRing = new OGRLinearRing();
poRing->addPoint(x0, y0);
poRing->addPoint(x2, y2);
poRing->addPoint(x3, y3);
poRing->addPoint(x1, y1);
poRing->addPoint(x0, y0);
poPoly->addRingDirectly(poRing);
auto poFeature = std::make_unique<OGRFeature>(poLayerDefn);
poFeature->SetField(0, static_cast<int>(iX));
poFeature->SetField(1, static_cast<int>(iY));
poFeature->SetGeometryDirectly(poPoly);
CPL_IGNORE_RET_VAL(poLayer->CreateFeature(poFeature.get()));
}
}
}
#endif
if (psTransform->bOriginIsTopLeftCorner)
{
// Add "virtual" edge at Y=nGeoLocYSize
for (int iX = 0; iX <= psTransform->nGeoLocXSize; iX++)
{
double dfGeoLocX;
double dfGeoLocY;
if (!PixelLineToXY(psTransform, static_cast<double>(iX),
static_cast<double>(psTransform->nGeoLocYSize),
dfGeoLocX, dfGeoLocY))
continue;
if (psTransform->bGeographicSRSWithMinus180Plus180LongRange)
dfGeoLocX = Clamp(dfGeoLocX, -180.0, 180.0);
UpdateMinMax(psTransform, dfGeoLocX, dfGeoLocY);
}
// Add "virtual" edge at X=nGeoLocXSize
for (int iY = 0; iY <= psTransform->nGeoLocYSize; iY++)
{
double dfGeoLocX;
double dfGeoLocY;
if (!PixelLineToXY(psTransform,
static_cast<double>(psTransform->nGeoLocXSize),
static_cast<double>(iY), dfGeoLocX, dfGeoLocY))
continue;
if (psTransform->bGeographicSRSWithMinus180Plus180LongRange)
dfGeoLocX = Clamp(dfGeoLocX, -180.0, 180.0);
UpdateMinMax(psTransform, dfGeoLocX, dfGeoLocY);
}
}
else
{
// Extend by half-pixel on 4 edges for pixel-center convention
for (int iX = 0; iX <= psTransform->nGeoLocXSize; iX++)
{
double dfGeoLocX;
double dfGeoLocY;
if (!PixelLineToXY(psTransform, static_cast<double>(iX), -0.5,
dfGeoLocX, dfGeoLocY))
continue;
if (psTransform->bGeographicSRSWithMinus180Plus180LongRange)
dfGeoLocX = Clamp(dfGeoLocX, -180.0, 180.0);
UpdateMinMax(psTransform, dfGeoLocX, dfGeoLocY);
}
for (int iX = 0; iX <= psTransform->nGeoLocXSize; iX++)
{
double dfGeoLocX;
double dfGeoLocY;
if (!PixelLineToXY(
psTransform, static_cast<double>(iX),
static_cast<double>(psTransform->nGeoLocYSize - 1 + 0.5),
dfGeoLocX, dfGeoLocY))
continue;
if (psTransform->bGeographicSRSWithMinus180Plus180LongRange)
dfGeoLocX = Clamp(dfGeoLocX, -180.0, 180.0);
UpdateMinMax(psTransform, dfGeoLocX, dfGeoLocY);
}
for (int iY = 0; iY <= psTransform->nGeoLocYSize; iY++)
{
double dfGeoLocX;
double dfGeoLocY;
if (!PixelLineToXY(psTransform, -0.5, static_cast<double>(iY),
dfGeoLocX, dfGeoLocY))
continue;
if (psTransform->bGeographicSRSWithMinus180Plus180LongRange)
dfGeoLocX = Clamp(dfGeoLocX, -180.0, 180.0);
UpdateMinMax(psTransform, dfGeoLocX, dfGeoLocY);
}
for (int iY = 0; iY <= psTransform->nGeoLocYSize; iY++)
{
double dfGeoLocX;
double dfGeoLocY;
if (!PixelLineToXY(psTransform, psTransform->nGeoLocXSize - 1 + 0.5,
static_cast<double>(iY), dfGeoLocX, dfGeoLocY))
continue;
if (psTransform->bGeographicSRSWithMinus180Plus180LongRange)
dfGeoLocX = Clamp(dfGeoLocX, -180.0, 180.0);
UpdateMinMax(psTransform, dfGeoLocX, dfGeoLocY);
}
}
}
/************************************************************************/
/* GDALGeoLoc::PixelLineToXY() */
/************************************************************************/
/** Interpolate a position expressed as (floating point) pixel/line in the
* geolocation array to the corresponding bilinearly-interpolated georeferenced
* position.
*
* The interpolation assumes infinite extension beyond borders of available
* data based on closest grid square.
*
* @param psTransform Transformation info
* @param dfGeoLocPixel Position along the column/pixel axis of the geolocation
* array
* @param dfGeoLocLine Position along the row/line axis of the geolocation
* array
* @param[out] dfX Output X of georeferenced position.
* @param[out] dfY Output Y of georeferenced position.
* @return true if success
*/
template <class Accessors>
bool GDALGeoLoc<Accessors>::PixelLineToXY(
const GDALGeoLocTransformInfo *psTransform, const double dfGeoLocPixel,
const double dfGeoLocLine, double &dfX, double &dfY)
{
int iX = static_cast<int>(
std::min(std::max(0.0, dfGeoLocPixel),
static_cast<double>(psTransform->nGeoLocXSize - 1)));
int iY = static_cast<int>(
std::min(std::max(0.0, dfGeoLocLine),
static_cast<double>(psTransform->nGeoLocYSize - 1)));
auto pAccessors = static_cast<Accessors *>(psTransform->pAccessors);
for (int iAttempt = 0; iAttempt < 2; ++iAttempt)
{
const double dfGLX_0_0 = pAccessors->geolocXAccessor.Get(iX, iY);
const double dfGLY_0_0 = pAccessors->geolocYAccessor.Get(iX, iY);
if (psTransform->bHasNoData && dfGLX_0_0 == psTransform->dfNoDataX)
{
return false;
}
// This assumes infinite extension beyond borders of available
// data based on closest grid square.
if (iX + 1 < psTransform->nGeoLocXSize &&
iY + 1 < psTransform->nGeoLocYSize)
{
const double dfGLX_1_0 =
pAccessors->geolocXAccessor.Get(iX + 1, iY);
const double dfGLY_1_0 =
pAccessors->geolocYAccessor.Get(iX + 1, iY);
const double dfGLX_0_1 =
pAccessors->geolocXAccessor.Get(iX, iY + 1);
const double dfGLY_0_1 =
pAccessors->geolocYAccessor.Get(iX, iY + 1);
const double dfGLX_1_1 =
pAccessors->geolocXAccessor.Get(iX + 1, iY + 1);
const double dfGLY_1_1 =
pAccessors->geolocYAccessor.Get(iX + 1, iY + 1);
if (!psTransform->bHasNoData ||
(dfGLX_1_0 != psTransform->dfNoDataX &&
dfGLX_0_1 != psTransform->dfNoDataX &&
dfGLX_1_1 != psTransform->dfNoDataX))
{
const double dfGLX_1_0_adjusted =
ShiftGeoX(psTransform, dfGLX_0_0, dfGLX_1_0);
const double dfGLX_0_1_adjusted =
ShiftGeoX(psTransform, dfGLX_0_0, dfGLX_0_1);
const double dfGLX_1_1_adjusted =
ShiftGeoX(psTransform, dfGLX_0_0, dfGLX_1_1);
dfX = (1 - (dfGeoLocLine - iY)) *
(dfGLX_0_0 + (dfGeoLocPixel - iX) *
(dfGLX_1_0_adjusted - dfGLX_0_0)) +
(dfGeoLocLine - iY) *
(dfGLX_0_1_adjusted +
(dfGeoLocPixel - iX) *
(dfGLX_1_1_adjusted - dfGLX_0_1_adjusted));
dfX = UnshiftGeoX(psTransform, dfX);
dfY = (1 - (dfGeoLocLine - iY)) *
(dfGLY_0_0 +
(dfGeoLocPixel - iX) * (dfGLY_1_0 - dfGLY_0_0)) +
(dfGeoLocLine - iY) *
(dfGLY_0_1 +
(dfGeoLocPixel - iX) * (dfGLY_1_1 - dfGLY_0_1));
break;
}
}
if (iX == psTransform->nGeoLocXSize - 1 && iX >= 1 &&
iY + 1 < psTransform->nGeoLocYSize)
{
// If we are after the right edge, then go one pixel left
// and retry
iX--;
continue;
}
else if (iY == psTransform->nGeoLocYSize - 1 && iY >= 1 &&
iX + 1 < psTransform->nGeoLocXSize)
{
// If we are after the bottom edge, then go one pixel up
// and retry
iY--;
continue;
}
else if (iX == psTransform->nGeoLocXSize - 1 &&
iY == psTransform->nGeoLocYSize - 1 && iX >= 1 && iY >= 1)
{
// If we are after the right and bottom edge, then go one pixel left
// and up and retry
iX--;
iY--;
continue;
}
else if (iX + 1 < psTransform->nGeoLocXSize &&
(!psTransform->bHasNoData ||
pAccessors->geolocXAccessor.Get(iX + 1, iY) !=
psTransform->dfNoDataX))
{
const double dfGLX_1_0 =
pAccessors->geolocXAccessor.Get(iX + 1, iY);
const double dfGLY_1_0 =
pAccessors->geolocYAccessor.Get(iX + 1, iY);
dfX =
dfGLX_0_0 +
(dfGeoLocPixel - iX) *
(ShiftGeoX(psTransform, dfGLX_0_0, dfGLX_1_0) - dfGLX_0_0);
dfX = UnshiftGeoX(psTransform, dfX);
dfY = dfGLY_0_0 + (dfGeoLocPixel - iX) * (dfGLY_1_0 - dfGLY_0_0);
}
else if (iY + 1 < psTransform->nGeoLocYSize &&
(!psTransform->bHasNoData ||
pAccessors->geolocXAccessor.Get(iX, iY + 1) !=
psTransform->dfNoDataX))
{
const double dfGLX_0_1 =
pAccessors->geolocXAccessor.Get(iX, iY + 1);
const double dfGLY_0_1 =
pAccessors->geolocYAccessor.Get(iX, iY + 1);
dfX =
dfGLX_0_0 +
(dfGeoLocLine - iY) *
(ShiftGeoX(psTransform, dfGLX_0_0, dfGLX_0_1) - dfGLX_0_0);
dfX = UnshiftGeoX(psTransform, dfX);
dfY = dfGLY_0_0 + (dfGeoLocLine - iY) * (dfGLY_0_1 - dfGLY_0_0);
}
else
{
dfX = dfGLX_0_0;
dfY = dfGLY_0_0;
}
break;
}
return true;
}
template <class Accessors>
bool GDALGeoLoc<Accessors>::PixelLineToXY(
const GDALGeoLocTransformInfo *psTransform, const int nGeoLocPixel,
const int nGeoLocLine, double &dfX, double &dfY)
{
if (nGeoLocPixel >= 0 && nGeoLocPixel < psTransform->nGeoLocXSize &&
nGeoLocLine >= 0 && nGeoLocLine < psTransform->nGeoLocYSize)
{
auto pAccessors = static_cast<Accessors *>(psTransform->pAccessors);
const double dfGLX =
pAccessors->geolocXAccessor.Get(nGeoLocPixel, nGeoLocLine);
const double dfGLY =
pAccessors->geolocYAccessor.Get(nGeoLocPixel, nGeoLocLine);
if (psTransform->bHasNoData && dfGLX == psTransform->dfNoDataX)
{
return false;
}
dfX = dfGLX;
dfY = dfGLY;
return true;
}
return PixelLineToXY(psTransform, static_cast<double>(nGeoLocPixel),
static_cast<double>(nGeoLocLine), dfX, dfY);
}
/************************************************************************/
/* GDALGeoLoc::ExtractSquare() */
/************************************************************************/
template <class Accessors>
bool GDALGeoLoc<Accessors>::ExtractSquare(
const GDALGeoLocTransformInfo *psTransform, int nX, int nY, double &dfX_0_0,
double &dfY_0_0, double &dfX_1_0, double &dfY_1_0, double &dfX_0_1,
double &dfY_0_1, double &dfX_1_1, double &dfY_1_1)
{
return PixelLineToXY(psTransform, nX, nY, dfX_0_0, dfY_0_0) &&
PixelLineToXY(psTransform, nX + 1, nY, dfX_1_0, dfY_1_0) &&
PixelLineToXY(psTransform, nX, nY + 1, dfX_0_1, dfY_0_1) &&
PixelLineToXY(psTransform, nX + 1, nY + 1, dfX_1_1, dfY_1_1);
}
bool GDALGeoLocExtractSquare(const GDALGeoLocTransformInfo *psTransform, int nX,
int nY, double &dfX_0_0, double &dfY_0_0,
double &dfX_1_0, double &dfY_1_0, double &dfX_0_1,
double &dfY_0_1, double &dfX_1_1, double &dfY_1_1)
{
if (psTransform->bUseArray)
{
return GDALGeoLoc<GDALGeoLocCArrayAccessors>::ExtractSquare(
psTransform, nX, nY, dfX_0_0, dfY_0_0, dfX_1_0, dfY_1_0, dfX_0_1,
dfY_0_1, dfX_1_1, dfY_1_1);
}
else
{
return GDALGeoLoc<GDALGeoLocDatasetAccessors>::ExtractSquare(
psTransform, nX, nY, dfX_0_0, dfY_0_0, dfX_1_0, dfY_1_0, dfX_0_1,
dfY_0_1, dfX_1_1, dfY_1_1);
}
}
/************************************************************************/
/* GDALGeoLocTransform() */
/************************************************************************/
template <class Accessors>
int GDALGeoLoc<Accessors>::Transform(void *pTransformArg, int bDstToSrc,
int nPointCount, double *padfX,
double *padfY, double * /* padfZ */,
int *panSuccess)
{
GDALGeoLocTransformInfo *psTransform =
static_cast<GDALGeoLocTransformInfo *>(pTransformArg);
if (psTransform->bReversed)
bDstToSrc = !bDstToSrc;
const double dfGeorefConventionOffset =
psTransform->bOriginIsTopLeftCorner ? 0 : 0.5;
/* -------------------------------------------------------------------- */
/* Do original pixel line to target geox/geoy. */
/* -------------------------------------------------------------------- */
if (!bDstToSrc)
{
for (int i = 0; i < nPointCount; i++)
{
if (padfX[i] == HUGE_VAL || padfY[i] == HUGE_VAL)
{
panSuccess[i] = FALSE;
continue;
}
const double dfGeoLocPixel =
(padfX[i] - psTransform->dfPIXEL_OFFSET) /
psTransform->dfPIXEL_STEP -
dfGeorefConventionOffset;
const double dfGeoLocLine =
(padfY[i] - psTransform->dfLINE_OFFSET) /
psTransform->dfLINE_STEP -
dfGeorefConventionOffset;
if (!PixelLineToXY(psTransform, dfGeoLocPixel, dfGeoLocLine,
padfX[i], padfY[i]))
{
panSuccess[i] = FALSE;
padfX[i] = HUGE_VAL;
padfY[i] = HUGE_VAL;
continue;
}
if (psTransform->bSwapXY)
{
std::swap(padfX[i], padfY[i]);
}
panSuccess[i] = TRUE;
}
}
/* -------------------------------------------------------------------- */
/* geox/geoy to pixel/line using backmap. */
/* -------------------------------------------------------------------- */
else
{
if (psTransform->hQuadTree)
{
GDALGeoLocInverseTransformQuadtree(psTransform, nPointCount, padfX,
padfY, panSuccess);
return TRUE;
}
const bool bGeolocMaxAccuracy = CPLTestBool(
CPLGetConfigOption("GDAL_GEOLOC_USE_MAX_ACCURACY", "YES"));
// Keep those objects in this outer scope, so they are re-used, to
// save memory allocations.
OGRPoint oPoint;
OGRLinearRing oRing;
oRing.setNumPoints(5);
auto pAccessors = static_cast<Accessors *>(psTransform->pAccessors);
for (int i = 0; i < nPointCount; i++)
{
if (padfX[i] == HUGE_VAL || padfY[i] == HUGE_VAL)
{
panSuccess[i] = FALSE;
continue;
}
if (psTransform->bSwapXY)
{
std::swap(padfX[i], padfY[i]);
}
const double dfGeoX = padfX[i];
const double dfGeoY = padfY[i];
const double dfBMX =
((padfX[i] - psTransform->adfBackMapGeoTransform[0]) /
psTransform->adfBackMapGeoTransform[1]);
const double dfBMY =
((padfY[i] - psTransform->adfBackMapGeoTransform[3]) /
psTransform->adfBackMapGeoTransform[5]);
if (!(dfBMX >= 0 && dfBMY >= 0 &&
dfBMX + 1 < psTransform->nBackMapWidth &&
dfBMY + 1 < psTransform->nBackMapHeight))
{
panSuccess[i] = FALSE;
padfX[i] = HUGE_VAL;
padfY[i] = HUGE_VAL;
continue;
}
const int iBMX = static_cast<int>(dfBMX);
const int iBMY = static_cast<int>(dfBMY);
const auto fBMX_0_0 = pAccessors->backMapXAccessor.Get(iBMX, iBMY);
const auto fBMY_0_0 = pAccessors->backMapYAccessor.Get(iBMX, iBMY);
if (fBMX_0_0 == INVALID_BMXY)
{
panSuccess[i] = FALSE;
padfX[i] = HUGE_VAL;
padfY[i] = HUGE_VAL;
continue;
}
const auto fBMX_1_0 =
pAccessors->backMapXAccessor.Get(iBMX + 1, iBMY);
const auto fBMY_1_0 =
pAccessors->backMapYAccessor.Get(iBMX + 1, iBMY);
const auto fBMX_0_1 =
pAccessors->backMapXAccessor.Get(iBMX, iBMY + 1);
const auto fBMY_0_1 =
pAccessors->backMapYAccessor.Get(iBMX, iBMY + 1);
const auto fBMX_1_1 =
pAccessors->backMapXAccessor.Get(iBMX + 1, iBMY + 1);
const auto fBMY_1_1 =
pAccessors->backMapYAccessor.Get(iBMX + 1, iBMY + 1);
if (fBMX_1_0 != INVALID_BMXY && fBMX_0_1 != INVALID_BMXY &&
fBMX_1_1 != INVALID_BMXY)
{
padfX[i] =
(1 - (dfBMY - iBMY)) *
(fBMX_0_0 + (dfBMX - iBMX) * (fBMX_1_0 - fBMX_0_0)) +
(dfBMY - iBMY) *
(fBMX_0_1 + (dfBMX - iBMX) * (fBMX_1_1 - fBMX_0_1));
padfY[i] =
(1 - (dfBMY - iBMY)) *
(fBMY_0_0 + (dfBMX - iBMX) * (fBMY_1_0 - fBMY_0_0)) +
(dfBMY - iBMY) *
(fBMY_0_1 + (dfBMX - iBMX) * (fBMY_1_1 - fBMY_0_1));
}
else if (fBMX_1_0 != INVALID_BMXY)
{
padfX[i] = fBMX_0_0 + (dfBMX - iBMX) * (fBMX_1_0 - fBMX_0_0);
padfY[i] = fBMY_0_0 + (dfBMX - iBMX) * (fBMY_1_0 - fBMY_0_0);
}
else if (fBMX_0_1 != INVALID_BMXY)
{
padfX[i] = fBMX_0_0 + (dfBMY - iBMY) * (fBMX_0_1 - fBMX_0_0);
padfY[i] = fBMY_0_0 + (dfBMY - iBMY) * (fBMY_0_1 - fBMY_0_0);
}
else
{
padfX[i] = fBMX_0_0;
padfY[i] = fBMY_0_0;
}
const double dfGeoLocPixel =
(padfX[i] - psTransform->dfPIXEL_OFFSET) /
psTransform->dfPIXEL_STEP -
dfGeorefConventionOffset;
const double dfGeoLocLine =
(padfY[i] - psTransform->dfLINE_OFFSET) /
psTransform->dfLINE_STEP -
dfGeorefConventionOffset;
#if 0
CPLDebug("GEOLOC", "%f %f %f %f", padfX[i], padfY[i], dfGeoLocPixel, dfGeoLocLine);
if( !psTransform->bOriginIsTopLeftCorner )
{
if( dfGeoLocPixel + dfGeorefConventionOffset > psTransform->nGeoLocXSize-1 ||
dfGeoLocLine + dfGeorefConventionOffset > psTransform->nGeoLocYSize-1 )
{
panSuccess[i] = FALSE;
padfX[i] = HUGE_VAL;
padfY[i] = HUGE_VAL;
continue;
}
}
#endif
if (!bGeolocMaxAccuracy)
{
panSuccess[i] = TRUE;
continue;
}
// Now that we have an approximate solution, identify a matching
// cell in the geolocation array, where we can use inverse bilinear
// interpolation to find the exact solution.
// NOTE: if the geolocation array is an affine transformation,
// the approximate solution should match the exact one, if the
// backmap has correctly been built.
oPoint.setX(dfGeoX);
oPoint.setY(dfGeoY);
// The thresholds and radius are rather empirical and have been
// tuned on the product
// S5P_TEST_L2__NO2____20190509T220707_20190509T234837_08137_01_010400_20200220T091343.nc
// that includes the north pole.
// Amended with the test case of
// https://github.com/OSGeo/gdal/issues/5823
const int nSearchRadius =
psTransform->bGeographicSRSWithMinus180Plus180LongRange &&
fabs(dfGeoY) >= 85
? 5
: 3;
const int nGeoLocPixel =
static_cast<int>(std::floor(dfGeoLocPixel));
const int nGeoLocLine = static_cast<int>(std::floor(dfGeoLocLine));
bool bDone = false;
// Using the above approximate nGeoLocPixel, nGeoLocLine, try to
// find a forward cell that includes (dfGeoX, dfGeoY), with an
// increasing search radius, up to nSearchRadius.
for (int r = 0; !bDone && r <= nSearchRadius; r++)
{
for (int iter = 0; !bDone && iter < (r == 0 ? 1 : 8 * r);
++iter)
{
// For r=1, the below formulas will give the following
// offsets:
// (-1,1), (0,1), (1,1), (1,0), (1,-1), (0,-1), (1,-1)
const int sx = (r == 0) ? 0
: (iter < 2 * r) ? -r + iter
: (iter < 4 * r) ? r
: (iter < 6 * r) ? r - (iter - 4 * r)
: -r;
const int sy = (r == 0) ? 0
: (iter < 2 * r) ? r
: (iter < 4 * r) ? r - (iter - 2 * r)
: (iter < 6 * r) ? -r
: -r + (iter - 6 * r);
if (nGeoLocPixel >=
static_cast<int>(psTransform->nGeoLocXSize) - sx ||
nGeoLocLine >=
static_cast<int>(psTransform->nGeoLocYSize) - sy)
{
continue;
}
const int iX = nGeoLocPixel + sx;
const int iY = nGeoLocLine + sy;
if (iX >= -1 || iY >= -1)
{
double x0, y0, x1, y1, x2, y2, x3, y3;
if (!PixelLineToXY(psTransform, iX, iY, x0, y0) ||
!PixelLineToXY(psTransform, iX + 1, iY, x2, y2) ||
!PixelLineToXY(psTransform, iX, iY + 1, x1, y1) ||
!PixelLineToXY(psTransform, iX + 1, iY + 1, x3, y3))
{
continue;
}
int nIters = 1;
// For a bounding box crossing the anti-meridian, check
// both around -180 and +180 deg.
if (psTransform
->bGeographicSRSWithMinus180Plus180LongRange &&
std::fabs(x0) > 170 && std::fabs(x1) > 170 &&
std::fabs(x2) > 170 && std::fabs(x3) > 170 &&
(std::fabs(x1 - x0) > 180 ||
std::fabs(x2 - x0) > 180 ||
std::fabs(x3 - x0) > 180))
{
nIters = 2;
if (x0 > 0)
x0 -= 360;
if (x1 > 0)
x1 -= 360;
if (x2 > 0)
x2 -= 360;
if (x3 > 0)
x3 -= 360;
}
for (int iIter = 0; !bDone && iIter < nIters; ++iIter)
{
if (iIter == 1)
{
x0 += 360;
x1 += 360;
x2 += 360;
x3 += 360;
}
oRing.setPoint(0, x0, y0);
oRing.setPoint(1, x2, y2);
oRing.setPoint(2, x3, y3);
oRing.setPoint(3, x1, y1);
oRing.setPoint(4, x0, y0);
if (oRing.isPointInRing(&oPoint) ||
oRing.isPointOnRingBoundary(&oPoint))
{
double dfX = static_cast<double>(iX);
double dfY = static_cast<double>(iY);
GDALInverseBilinearInterpolation(
dfGeoX, dfGeoY, x0, y0, x1, y1, x2, y2, x3,
y3, dfX, dfY);
dfX = (dfX + dfGeorefConventionOffset) *
psTransform->dfPIXEL_STEP +
psTransform->dfPIXEL_OFFSET;
dfY = (dfY + dfGeorefConventionOffset) *
psTransform->dfLINE_STEP +
psTransform->dfLINE_OFFSET;
#ifdef DEBUG_GEOLOC_REALLY_VERBOSE
CPLDebug("GEOLOC",
"value before adjustment: %f %f, "
"after adjustment: %f %f",
padfX[i], padfY[i], dfX, dfY);
#endif
padfX[i] = dfX;
padfY[i] = dfY;
bDone = true;
}
}
}
}
}
if (!bDone)
{
panSuccess[i] = FALSE;
padfX[i] = HUGE_VAL;
padfY[i] = HUGE_VAL;
continue;
}
panSuccess[i] = TRUE;
}
}
return TRUE;
}
/*! @endcond */
/************************************************************************/
/* GDALInverseBilinearInterpolation() */
/************************************************************************/
// (i,j) before the call should correspond to the input coordinates that give
// (x0,y0) as output of the forward interpolation
// After the call it will be updated to the input coordinates that give (x,y)
// This assumes that (x,y) is within the polygon formed by
// (x0, y0), (x2, y2), (x3, y3), (x1, y1), (x0, y0)
void GDALInverseBilinearInterpolation(const double x, const double y,
const double x0, const double y0,
const double x1, const double y1,
const double x2, const double y2,
const double x3, const double y3,
double &i, double &j)
{
// Exact inverse bilinear interpolation method.
// Maths from https://stackoverflow.com/a/812077
const double A = (x0 - x) * (y0 - y2) - (y0 - y) * (x0 - x2);
const double B = (((x0 - x) * (y1 - y3) - (y0 - y) * (x1 - x3)) +
((x1 - x) * (y0 - y2) - (y1 - y) * (x0 - x2))) /
2;
const double C = (x1 - x) * (y1 - y3) - (y1 - y) * (x1 - x3);
const double denom = A - 2 * B + C;
double s;
const double magnitudeOfValues = fabs(A) + fabs(B) + fabs(C);
if (fabs(denom) <= 1e-12 * magnitudeOfValues)
{
// Happens typically when the x_i,y_i points form a rectangle
// Can also happen when they form a triangle.
s = A / (A - C);
}
else
{
const double sqrtTerm = sqrt(B * B - A * C);
const double s1 = ((A - B) + sqrtTerm) / denom;
const double s2 = ((A - B) - sqrtTerm) / denom;
if (s1 < 0 || s1 > 1)
s = s2;
else
s = s1;
}
const double t_denom_x = (1 - s) * (x0 - x2) + s * (x1 - x3);
if (fabs(t_denom_x) > 1e-12 * magnitudeOfValues)
{
i += ((1 - s) * (x0 - x) + s * (x1 - x)) / t_denom_x;
}
else
{
const double t_denom_y = (1 - s) * (y0 - y2) + s * (y1 - y3);
if (fabs(t_denom_y) > 1e-12 * magnitudeOfValues)
{
i += ((1 - s) * (y0 - y) + s * (y1 - y)) / t_denom_y;
}
}
j += s;
}
/************************************************************************/
/* GeoLocGenerateBackMap() */
/************************************************************************/
/*! @cond Doxygen_Suppress */
template <class Accessors>
bool GDALGeoLoc<Accessors>::GenerateBackMap(