/******************************************************************************
 *
 * Project:  GDAL DEM Utilities
 * Purpose:
 * Authors:  Matthew Perry, perrygeo at gmail.com
 *           Even Rouault, even dot rouault at spatialys.com
 *           Howard Butler, hobu.inc at gmail.com
 *           Chris Yesson, chris dot yesson at ioz dot ac dot uk
 *
 ******************************************************************************
 * Copyright (c) 2006, 2009 Matthew Perry
 * Copyright (c) 2009-2013, Even Rouault <even dot rouault at spatialys.com>
 * Portions derived from GRASS 4.1 (public domain) See
 * http://trac.osgeo.org/gdal/ticket/2975 for more information regarding
 * history of this code
 *
 * 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.
 ****************************************************************************
 *
 * Slope and aspect calculations based on original method for GRASS GIS 4.1
 * by Michael Shapiro, U.S.Army Construction Engineering Research Laboratory
 *    Olga Waupotitsch, U.S.Army Construction Engineering Research Laboratory
 *    Marjorie Larson, U.S.Army Construction Engineering Research Laboratory
 * as found in GRASS's r.slope.aspect module.
 *
 * Horn's formula is used to find the first order derivatives in x and y
 *directions for slope and aspect calculations: Horn, B. K. P. (1981). "Hill
 *Shading and the Reflectance Map", Proceedings of the IEEE, 69(1):14-47.
 *
 * Other reference :
 * Burrough, P.A. and McDonell, R.A., 1998. Principles of Geographical
 *Information Systems. p. 190.
 *
 * Shaded relief based on original method for GRASS GIS 4.1 by Jim Westervelt,
 * U.S. Army Construction Engineering Research Laboratory
 * as found in GRASS's r.shaded.relief (formerly shade.rel.sh) module.
 * ref: "r.mapcalc: An Algebra for GIS and Image Processing",
 * by Michael Shapiro and Jim Westervelt, U.S. Army Construction Engineering
 * Research Laboratory (March/1991)
 *
 * Color table of named colors and lookup code derived from
 *src/libes/gis/named_colr.c of GRASS 4.1
 *
 * TRI -
 * For bathymetric use cases, implements
 * Terrain Ruggedness Index is as described in Wilson et al. (2007)
 * this is based on the method of Valentine et al. (2004)
 *
 * For terrestrial use cases, implements
 * Riley, S.J., De Gloria, S.D., Elliot, R. (1999): A Terrain Ruggedness
 * that Quantifies Topographic Heterogeneity. Intermountain Journal of Science,
 *Vol.5, No.1-4, pp.23-27
 *
 *
 * TPI - Topographic Position Index follows the description in
 * Wilson et al. (2007), following Weiss (2001).  The radius is fixed
 * at 1 cell width/height
 *
 * Roughness - follows the definition in Wilson et al. (2007), which follows
 * Dartnell (2000).
 *
 * References for TRI/TPI/Roughness:
 * Dartnell, P. 2000. Applying Remote Sensing Techniques to map Seafloor
 *  Geology/Habitat Relationships. Masters Thesis, San Francisco State
 *  University, pp. 108.
 * Valentine, P. C., S. J. Fuller, L. A. Scully. 2004. Terrain Ruggedness
 *  Analysis and Distribution of Boulder Ridges in the Stellwagen Bank National
 *  Marine Sanctuary Region (poster). Galway, Ireland: 5th International
 *  Symposium on Marine Geological and Biological Habitat Mapping (GeoHAB),
 *  May 2004.
 * Weiss, A. D. 2001. Topographic Positions and Landforms Analysis (poster),
 *  ESRI International User Conference, July 2001. San Diego, CA: ESRI.
 * Wilson, M. F. J.; O'Connell, B.; Brown, C.; Guinan, J. C. & Grehan, A. J.
 *  Multiscale terrain analysis of multibeam bathymetry data for habitat mapping
 *  on the continental slope Marine Geodesy, 2007, 30, 3-35
 ****************************************************************************/

// Include before others for mingw for VSIStatBufL
#include "cpl_conv.h"

#include "cpl_port.h"
#include "gdal_utils.h"
#include "gdal_utils_priv.h"
#include "commonutils.h"

#include <cfloat>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#if HAVE_SYS_STAT_H
#include <sys/stat.h>
#endif

#include <algorithm>
#include <limits>

#include "cpl_error.h"
#include "cpl_progress.h"
#include "cpl_string.h"
#include "cpl_vsi.h"
#include "gdal.h"
#include "gdal_priv.h"

#if defined(__SSE2__) || defined(_M_X64)
#define HAVE_16_SSE_REG
#define HAVE_SSE2
#include "emmintrin.h"
#endif

static const double kdfDegreesToRadians = M_PI / 180.0;
static const double kdfRadiansToDegrees = 180.0 / M_PI;

typedef enum
{
    COLOR_SELECTION_INTERPOLATE,
    COLOR_SELECTION_NEAREST_ENTRY,
    COLOR_SELECTION_EXACT_ENTRY
} ColorSelectionMode;

namespace
{
enum class GradientAlg
{
    HORN,
    ZEVENBERGEN_THORNE,
};

enum class TRIAlg
{
    WILSON,
    RILEY,
};
}  // namespace

struct GDALDEMProcessingOptions
{
    /*! output format. Use the short format name. */
    char *pszFormat = nullptr;

    /*! the progress function to use */
    GDALProgressFunc pfnProgress = nullptr;

    /*! pointer to the progress data variable */
    void *pProgressData = nullptr;

    double z = 1.0;
    double scale = 1.0;
    double az = 315.0;
    double alt = 45.0;
    int slopeFormat = 1;  // 0 = 'percent' or 1 = 'degrees'
    bool bAddAlpha = false;
    bool bZeroForFlat = false;
    bool bAngleAsAzimuth = true;
    ColorSelectionMode eColorSelectionMode = COLOR_SELECTION_INTERPOLATE;
    bool bComputeAtEdges = false;
    bool bGradientAlgSpecified = false;
    GradientAlg eGradientAlg = GradientAlg::HORN;
    bool bTRIAlgSpecified = false;
    TRIAlg eTRIAlg = TRIAlg::RILEY;
    bool bCombined = false;
    bool bIgor = false;
    bool bMultiDirectional = false;
    char **papszCreateOptions = nullptr;
    int nBand = 1;
};

/************************************************************************/
/*                          ComputeVal()                                */
/************************************************************************/

template <class T> struct GDALGeneric3x3ProcessingAlg
{
    typedef float (*type)(const T *pafWindow, float fDstNoDataValue,
                          void *pData);
};

template <class T> struct GDALGeneric3x3ProcessingAlg_multisample
{
    typedef int (*type)(const T *pafThreeLineWin, int nLine1Off, int nLine2Off,
                        int nLine3Off, int nXSize, void *pData,
                        float *pafOutputBuf);
};

template <class T>
static float ComputeVal(bool bSrcHasNoData, T fSrcNoDataValue,
                        bool bIsSrcNoDataNan, T *afWin, float fDstNoDataValue,
                        typename GDALGeneric3x3ProcessingAlg<T>::type pfnAlg,
                        void *pData, bool bComputeAtEdges);

template <>
float ComputeVal(bool bSrcHasNoData, float fSrcNoDataValue,
                 bool bIsSrcNoDataNan, float *afWin, float fDstNoDataValue,
                 GDALGeneric3x3ProcessingAlg<float>::type pfnAlg, void *pData,
                 bool bComputeAtEdges)
{
    if (bSrcHasNoData &&
        ((!bIsSrcNoDataNan && ARE_REAL_EQUAL(afWin[4], fSrcNoDataValue)) ||
         (bIsSrcNoDataNan && CPLIsNan(afWin[4]))))
    {
        return fDstNoDataValue;
    }
    else if (bSrcHasNoData)
    {
        for (int k = 0; k < 9; k++)
        {
            if ((!bIsSrcNoDataNan &&
                 ARE_REAL_EQUAL(afWin[k], fSrcNoDataValue)) ||
                (bIsSrcNoDataNan && CPLIsNan(afWin[k])))
            {
                if (bComputeAtEdges)
                    afWin[k] = afWin[4];
                else
                    return fDstNoDataValue;
            }
        }
    }

    return pfnAlg(afWin, fDstNoDataValue, pData);
}

template <>
float ComputeVal(bool bSrcHasNoData, GInt32 fSrcNoDataValue,
                 bool /* bIsSrcNoDataNan */, GInt32 *afWin,
                 float fDstNoDataValue,
                 GDALGeneric3x3ProcessingAlg<GInt32>::type pfnAlg, void *pData,
                 bool bComputeAtEdges)
{
    if (bSrcHasNoData && afWin[4] == fSrcNoDataValue)
    {
        return fDstNoDataValue;
    }
    else if (bSrcHasNoData)
    {
        for (int k = 0; k < 9; k++)
        {
            if (afWin[k] == fSrcNoDataValue)
            {
                if (bComputeAtEdges)
                    afWin[k] = afWin[4];
                else
                    return fDstNoDataValue;
            }
        }
    }

    return pfnAlg(afWin, fDstNoDataValue, pData);
}

/************************************************************************/
/*                           INTERPOL()                                 */
/************************************************************************/

template <class T>
static T INTERPOL(T a, T b, int bSrcHasNodata, T fSrcNoDataValue);

template <>
float INTERPOL(float a, float b, int bSrcHasNoData, float fSrcNoDataValue)
{
    return ((bSrcHasNoData && (ARE_REAL_EQUAL(a, fSrcNoDataValue) ||
                               ARE_REAL_EQUAL(b, fSrcNoDataValue)))
                ? fSrcNoDataValue
                : 2 * (a) - (b));
}

template <>
GInt32 INTERPOL(GInt32 a, GInt32 b, int bSrcHasNoData, GInt32 fSrcNoDataValue)
{
    if (bSrcHasNoData && ((a == fSrcNoDataValue) || (b == fSrcNoDataValue)))
        return fSrcNoDataValue;
    int nVal = 2 * a - b;
    if (bSrcHasNoData && fSrcNoDataValue == nVal)
        return nVal + 1;
    return nVal;
}

/************************************************************************/
/*                  GDALGeneric3x3Processing()                          */
/************************************************************************/

template <class T>
static CPLErr GDALGeneric3x3Processing(
    GDALRasterBandH hSrcBand, GDALRasterBandH hDstBand,
    typename GDALGeneric3x3ProcessingAlg<T>::type pfnAlg,
    typename GDALGeneric3x3ProcessingAlg_multisample<T>::type
        pfnAlg_multisample,
    void *pData, bool bComputeAtEdges, GDALProgressFunc pfnProgress,
    void *pProgressData)
{
    if (pfnProgress == nullptr)
        pfnProgress = GDALDummyProgress;

    /* -------------------------------------------------------------------- */
    /*      Initialize progress counter.                                    */
    /* -------------------------------------------------------------------- */
    if (!pfnProgress(0.0, nullptr, pProgressData))
    {
        CPLError(CE_Failure, CPLE_UserInterrupt, "User terminated");
        return CE_Failure;
    }

    const int nXSize = GDALGetRasterBandXSize(hSrcBand);
    const int nYSize = GDALGetRasterBandYSize(hSrcBand);

    // 1 line destination buffer.
    float *pafOutputBuf =
        static_cast<float *>(VSI_MALLOC2_VERBOSE(sizeof(float), nXSize));
    // 3 line rotating source buffer.
    T *pafThreeLineWin =
        static_cast<T *>(VSI_MALLOC2_VERBOSE(3 * sizeof(T), nXSize + 1));
    if (pafOutputBuf == nullptr || pafThreeLineWin == nullptr)
    {
        VSIFree(pafOutputBuf);
        VSIFree(pafThreeLineWin);
        return CE_Failure;
    }

    GDALDataType eReadDT;
    int bSrcHasNoData = FALSE;
    const double dfNoDataValue =
        GDALGetRasterNoDataValue(hSrcBand, &bSrcHasNoData);

    int bIsSrcNoDataNan = FALSE;
    T fSrcNoDataValue = 0;
    if (std::numeric_limits<T>::is_integer)
    {
        eReadDT = GDT_Int32;
        if (bSrcHasNoData)
        {
            GDALDataType eSrcDT = GDALGetRasterDataType(hSrcBand);
            CPLAssert(eSrcDT == GDT_Byte || eSrcDT == GDT_UInt16 ||
                      eSrcDT == GDT_Int16);
            const int nMinVal = (eSrcDT == GDT_Byte)     ? 0
                                : (eSrcDT == GDT_UInt16) ? 0
                                                         : -32768;
            const int nMaxVal = (eSrcDT == GDT_Byte)     ? 255
                                : (eSrcDT == GDT_UInt16) ? 65535
                                                         : 32767;

            if (fabs(dfNoDataValue - floor(dfNoDataValue + 0.5)) < 1e-2 &&
                dfNoDataValue >= nMinVal && dfNoDataValue <= nMaxVal)
            {
                fSrcNoDataValue = static_cast<T>(floor(dfNoDataValue + 0.5));
            }
            else
            {
                bSrcHasNoData = FALSE;
            }
        }
    }
    else
    {
        eReadDT = GDT_Float32;
        fSrcNoDataValue = static_cast<T>(dfNoDataValue);
        bIsSrcNoDataNan = bSrcHasNoData && CPLIsNan(dfNoDataValue);
    }

    int bDstHasNoData = FALSE;
    float fDstNoDataValue =
        static_cast<float>(GDALGetRasterNoDataValue(hDstBand, &bDstHasNoData));
    if (!bDstHasNoData)
        fDstNoDataValue = 0.0;

    int nLine1Off = 0;
    int nLine2Off = nXSize;
    int nLine3Off = 2 * nXSize;

    // Move a 3x3 pafWindow over each cell
    // (where the cell in question is #4)
    //
    //      0 1 2
    //      3 4 5
    //      6 7 8

    /* Preload the first 2 lines */

    bool abLineHasNoDataValue[3] = {CPL_TO_BOOL(bSrcHasNoData),
                                    CPL_TO_BOOL(bSrcHasNoData),
                                    CPL_TO_BOOL(bSrcHasNoData)};

    // Create an extra scope for VC12 to ignore i.
    {
        for (int i = 0; i < 2 && i < nYSize; i++)
        {
            if (GDALRasterIO(hSrcBand, GF_Read, 0, i, nXSize, 1,
                             pafThreeLineWin + i * nXSize, nXSize, 1, eReadDT,
                             0, 0) != CE_None)
            {
                CPLFree(pafOutputBuf);
                CPLFree(pafThreeLineWin);

                return CE_Failure;
            }
            if (std::numeric_limits<T>::is_integer && bSrcHasNoData)
            {
                abLineHasNoDataValue[i] = false;
                for (int iX = 0; iX < nXSize; iX++)
                {
                    if (pafThreeLineWin[i * nXSize + iX] == fSrcNoDataValue)
                    {
                        abLineHasNoDataValue[i] = true;
                        break;
                    }
                }
            }
        }
    }  // End extra scope for VC12

    CPLErr eErr = CE_None;
    if (bComputeAtEdges && nXSize >= 2 && nYSize >= 2)
    {
        for (int j = 0; j < nXSize; j++)
        {
            int jmin = (j == 0) ? j : j - 1;
            int jmax = (j == nXSize - 1) ? j : j + 1;

            T afWin[9] = {
                INTERPOL(pafThreeLineWin[jmin], pafThreeLineWin[nXSize + jmin],
                         bSrcHasNoData, fSrcNoDataValue),
                INTERPOL(pafThreeLineWin[j], pafThreeLineWin[nXSize + j],
                         bSrcHasNoData, fSrcNoDataValue),
                INTERPOL(pafThreeLineWin[jmax], pafThreeLineWin[nXSize + jmax],
                         bSrcHasNoData, fSrcNoDataValue),
                pafThreeLineWin[jmin],
                pafThreeLineWin[j],
                pafThreeLineWin[jmax],
                pafThreeLineWin[nXSize + jmin],
                pafThreeLineWin[nXSize + j],
                pafThreeLineWin[nXSize + jmax]};
            pafOutputBuf[j] =
                ComputeVal(CPL_TO_BOOL(bSrcHasNoData), fSrcNoDataValue,
                           CPL_TO_BOOL(bIsSrcNoDataNan), afWin, fDstNoDataValue,
                           pfnAlg, pData, bComputeAtEdges);
        }
        eErr = GDALRasterIO(hDstBand, GF_Write, 0, 0, nXSize, 1, pafOutputBuf,
                            nXSize, 1, GDT_Float32, 0, 0);
    }
    else
    {
        // Exclude the edges
        for (int j = 0; j < nXSize; j++)
        {
            pafOutputBuf[j] = fDstNoDataValue;
        }
        eErr = GDALRasterIO(hDstBand, GF_Write, 0, 0, nXSize, 1, pafOutputBuf,
                            nXSize, 1, GDT_Float32, 0, 0);

        if (eErr == CE_None && nYSize > 1)
        {
            eErr = GDALRasterIO(hDstBand, GF_Write, 0, nYSize - 1, nXSize, 1,
                                pafOutputBuf, nXSize, 1, GDT_Float32, 0, 0);
        }
    }
    if (eErr != CE_None)
    {
        CPLFree(pafOutputBuf);
        CPLFree(pafThreeLineWin);

        return eErr;
    }

    int i = 1;  // Used after for.
    for (; i < nYSize - 1; i++)
    {
        /* Read third line of the line buffer */
        eErr =
            GDALRasterIO(hSrcBand, GF_Read, 0, i + 1, nXSize, 1,
                         pafThreeLineWin + nLine3Off, nXSize, 1, eReadDT, 0, 0);
        if (eErr != CE_None)
        {
            CPLFree(pafOutputBuf);
            CPLFree(pafThreeLineWin);

            return eErr;
        }

        // In case none of the 3 lines have nodata values, then no need to
        // check it in ComputeVal()
        bool bOneOfThreeLinesHasNoData = CPL_TO_BOOL(bSrcHasNoData);
        if (std::numeric_limits<T>::is_integer && bSrcHasNoData)
        {
            bool bLastLineHasNoDataValue = false;
            int iX = 0;
            for (; iX + 3 < nXSize; iX += 4)
            {
                if (pafThreeLineWin[nLine3Off + iX] == fSrcNoDataValue ||
                    pafThreeLineWin[nLine3Off + iX + 1] == fSrcNoDataValue ||
                    pafThreeLineWin[nLine3Off + iX + 2] == fSrcNoDataValue ||
                    pafThreeLineWin[nLine3Off + iX + 3] == fSrcNoDataValue)
                {
                    bLastLineHasNoDataValue = true;
                    break;
                }
            }
            if (!bLastLineHasNoDataValue)
            {
                for (; iX < nXSize; iX++)
                {
                    if (pafThreeLineWin[nLine3Off + iX] == fSrcNoDataValue)
                    {
                        bLastLineHasNoDataValue = true;
                    }
                }
            }
            abLineHasNoDataValue[nLine3Off / nXSize] = bLastLineHasNoDataValue;

            bOneOfThreeLinesHasNoData = abLineHasNoDataValue[0] ||
                                        abLineHasNoDataValue[1] ||
                                        abLineHasNoDataValue[2];
        }

        if (bComputeAtEdges && nXSize >= 2)
        {
            int j = 0;
            T afWin[9] = {INTERPOL(pafThreeLineWin[nLine1Off + j],
                                   pafThreeLineWin[nLine1Off + j + 1],
                                   bSrcHasNoData, fSrcNoDataValue),
                          pafThreeLineWin[nLine1Off + j],
                          pafThreeLineWin[nLine1Off + j + 1],
                          INTERPOL(pafThreeLineWin[nLine2Off + j],
                                   pafThreeLineWin[nLine2Off + j + 1],
                                   bSrcHasNoData, fSrcNoDataValue),
                          pafThreeLineWin[nLine2Off + j],
                          pafThreeLineWin[nLine2Off + j + 1],
                          INTERPOL(pafThreeLineWin[nLine3Off + j],
                                   pafThreeLineWin[nLine3Off + j + 1],
                                   bSrcHasNoData, fSrcNoDataValue),
                          pafThreeLineWin[nLine3Off + j],
                          pafThreeLineWin[nLine3Off + j + 1]};

            pafOutputBuf[j] =
                ComputeVal(CPL_TO_BOOL(bOneOfThreeLinesHasNoData),
                           fSrcNoDataValue, CPL_TO_BOOL(bIsSrcNoDataNan), afWin,
                           fDstNoDataValue, pfnAlg, pData, bComputeAtEdges);
        }
        else
        {
            // Exclude the edges
            pafOutputBuf[0] = fDstNoDataValue;
        }

        int j = 1;
        if (pfnAlg_multisample && !bOneOfThreeLinesHasNoData)
        {
            j = pfnAlg_multisample(pafThreeLineWin, nLine1Off, nLine2Off,
                                   nLine3Off, nXSize, pData, pafOutputBuf);
        }

        for (; j < nXSize - 1; j++)
        {
            T afWin[9] = {pafThreeLineWin[nLine1Off + j - 1],
                          pafThreeLineWin[nLine1Off + j],
                          pafThreeLineWin[nLine1Off + j + 1],
                          pafThreeLineWin[nLine2Off + j - 1],
                          pafThreeLineWin[nLine2Off + j],
                          pafThreeLineWin[nLine2Off + j + 1],
                          pafThreeLineWin[nLine3Off + j - 1],
                          pafThreeLineWin[nLine3Off + j],
                          pafThreeLineWin[nLine3Off + j + 1]};

            pafOutputBuf[j] =
                ComputeVal(CPL_TO_BOOL(bOneOfThreeLinesHasNoData),
                           fSrcNoDataValue, CPL_TO_BOOL(bIsSrcNoDataNan), afWin,
                           fDstNoDataValue, pfnAlg, pData, bComputeAtEdges);
        }

        if (bComputeAtEdges && nXSize >= 2)
        {
            j = nXSize - 1;

            T afWin[9] = {pafThreeLineWin[nLine1Off + j - 1],
                          pafThreeLineWin[nLine1Off + j],
                          INTERPOL(pafThreeLineWin[nLine1Off + j],
                                   pafThreeLineWin[nLine1Off + j - 1],
                                   bSrcHasNoData, fSrcNoDataValue),
                          pafThreeLineWin[nLine2Off + j - 1],
                          pafThreeLineWin[nLine2Off + j],
                          INTERPOL(pafThreeLineWin[nLine2Off + j],
                                   pafThreeLineWin[nLine2Off + j - 1],
                                   bSrcHasNoData, fSrcNoDataValue),
                          pafThreeLineWin[nLine3Off + j - 1],
                          pafThreeLineWin[nLine3Off + j],
                          INTERPOL(pafThreeLineWin[nLine3Off + j],
                                   pafThreeLineWin[nLine3Off + j - 1],
                                   bSrcHasNoData, fSrcNoDataValue)};

            pafOutputBuf[j] =
                ComputeVal(CPL_TO_BOOL(bOneOfThreeLinesHasNoData),
                           fSrcNoDataValue, CPL_TO_BOOL(bIsSrcNoDataNan), afWin,
                           fDstNoDataValue, pfnAlg, pData, bComputeAtEdges);
        }
        else
        {
            // Exclude the edges
            if (nXSize > 1)
                pafOutputBuf[nXSize - 1] = fDstNoDataValue;
        }

        /* -----------------------------------------
         * Write Line to Raster
         */
        eErr = GDALRasterIO(hDstBand, GF_Write, 0, i, nXSize, 1, pafOutputBuf,
                            nXSize, 1, GDT_Float32, 0, 0);
        if (eErr != CE_None)
        {
            CPLFree(pafOutputBuf);
            CPLFree(pafThreeLineWin);

            return eErr;
        }

        if (!pfnProgress(1.0 * (i + 1) / nYSize, nullptr, pProgressData))
        {
            CPLError(CE_Failure, CPLE_UserInterrupt, "User terminated");
            eErr = CE_Failure;

            CPLFree(pafOutputBuf);
            CPLFree(pafThreeLineWin);

            return eErr;
        }

        const int nTemp = nLine1Off;
        nLine1Off = nLine2Off;
        nLine2Off = nLine3Off;
        nLine3Off = nTemp;
    }

    if (bComputeAtEdges && nXSize >= 2 && nYSize >= 2)
    {
        for (int j = 0; j < nXSize; j++)
        {
            int jmin = (j == 0) ? j : j - 1;
            int jmax = (j == nXSize - 1) ? j : j + 1;

            T afWin[9] = {
                pafThreeLineWin[nLine1Off + jmin],
                pafThreeLineWin[nLine1Off + j],
                pafThreeLineWin[nLine1Off + jmax],
                pafThreeLineWin[nLine2Off + jmin],
                pafThreeLineWin[nLine2Off + j],
                pafThreeLineWin[nLine2Off + jmax],
                INTERPOL(pafThreeLineWin[nLine2Off + jmin],
                         pafThreeLineWin[nLine1Off + jmin], bSrcHasNoData,
                         fSrcNoDataValue),
                INTERPOL(pafThreeLineWin[nLine2Off + j],
                         pafThreeLineWin[nLine1Off + j], bSrcHasNoData,
                         fSrcNoDataValue),
                INTERPOL(pafThreeLineWin[nLine2Off + jmax],
                         pafThreeLineWin[nLine1Off + jmax], bSrcHasNoData,
                         fSrcNoDataValue),
            };

            pafOutputBuf[j] =
                ComputeVal(CPL_TO_BOOL(bSrcHasNoData), fSrcNoDataValue,
                           CPL_TO_BOOL(bIsSrcNoDataNan), afWin, fDstNoDataValue,
                           pfnAlg, pData, bComputeAtEdges);
        }
        eErr = GDALRasterIO(hDstBand, GF_Write, 0, i, nXSize, 1, pafOutputBuf,
                            nXSize, 1, GDT_Float32, 0, 0);
        if (eErr != CE_None)
        {
            CPLFree(pafOutputBuf);
            CPLFree(pafThreeLineWin);

            return eErr;
        }
    }

    pfnProgress(1.0, nullptr, pProgressData);
    eErr = CE_None;

    CPLFree(pafOutputBuf);
    CPLFree(pafThreeLineWin);

    return eErr;
}

/************************************************************************/
/*                            GradientAlg                               */
/************************************************************************/

template <class T, GradientAlg alg> struct Gradient
{
    static void inline calc(const T *afWin, double inv_ewres, double inv_nsres,
                            double &x, double &y);
};

template <class T> struct Gradient<T, GradientAlg::HORN>
{
    static void calc(const T *afWin, double inv_ewres, double inv_nsres,
                     double &x, double &y)
    {
        x = ((afWin[0] + afWin[3] + afWin[3] + afWin[6]) -
             (afWin[2] + afWin[5] + afWin[5] + afWin[8])) *
            inv_ewres;

        y = ((afWin[6] + afWin[7] + afWin[7] + afWin[8]) -
             (afWin[0] + afWin[1] + afWin[1] + afWin[2])) *
            inv_nsres;
    }
};

template <class T> struct Gradient<T, GradientAlg::ZEVENBERGEN_THORNE>
{
    static void calc(const T *afWin, double inv_ewres, double inv_nsres,
                     double &x, double &y)
    {
        x = (afWin[3] - afWin[5]) * inv_ewres;
        y = (afWin[7] - afWin[1]) * inv_nsres;
    }
};

/************************************************************************/
/*                         GDALHillshade()                              */
/************************************************************************/

typedef struct
{
    double inv_nsres;
    double inv_ewres;
    double sin_altRadians;
    double cos_alt_mul_z;
    double azRadians;
    double cos_az_mul_cos_alt_mul_z;
    double sin_az_mul_cos_alt_mul_z;
    double square_z;
    double sin_altRadians_mul_254;
    double cos_az_mul_cos_alt_mul_z_mul_254;
    double sin_az_mul_cos_alt_mul_z_mul_254;

    double square_z_mul_square_inv_res;
    double cos_az_mul_cos_alt_mul_z_mul_254_mul_inv_res;
    double sin_az_mul_cos_alt_mul_z_mul_254_mul_inv_res;
    double z_scaled;
} GDALHillshadeAlgData;

/* Unoptimized formulas are :
    x = psData->z*((afWin[0] + afWin[3] + afWin[3] + afWin[6]) -
        (afWin[2] + afWin[5] + afWin[5] + afWin[8])) /
        (8.0 * psData->ewres * psData->scale);

    y = psData->z*((afWin[6] + afWin[7] + afWin[7] + afWin[8]) -
        (afWin[0] + afWin[1] + afWin[1] + afWin[2])) /
        (8.0 * psData->nsres * psData->scale);

    slope = atan(sqrt(x*x + y*y));

    aspect = atan2(y,x);

    cang = sin(alt) * cos(slope) +
           cos(alt) * sin(slope) *
           cos(az - M_PI/2 - aspect);

We can avoid a lot of trigonometric computations:

    since cos(atan(x)) = 1 / sqrt(1+x^2)
      ==> cos(slope) = 1 / sqrt(1+ x*x+y*y)

      and sin(atan(x)) = x / sqrt(1+x^2)
      ==> sin(slope) = sqrt(x*x + y*y) / sqrt(1+ x*x+y*y)

      and cos(az - M_PI/2 - aspect)
        = cos(-az + M_PI/2 + aspect)
        = cos(M_PI/2 - (az - aspect))
        = sin(az - aspect)
        = -sin(aspect-az)

==> cang = (sin(alt) - cos(alt) * sqrt(x*x + y*y)  * sin(aspect-as)) /
           sqrt(1+ x*x+y*y)

    But:
    sin(aspect - az) = sin(aspect)*cos(az) - cos(aspect)*sin(az))

and as sin(aspect)=sin(atan2(y,x)) = y / sqrt(xx_plus_yy)
   and cos(aspect)=cos(atan2(y,x)) = x / sqrt(xx_plus_yy)

    sin(aspect - az) = (y * cos(az) - x * sin(az)) / sqrt(xx_plus_yy)

so we get a final formula with just one transcendental function
(reciprocal of square root):

    cang = (psData->sin_altRadians -
           (y * psData->cos_az_mul_cos_alt_mul_z -
            x * psData->sin_az_mul_cos_alt_mul_z)) /
           sqrt(1 + psData->square_z * xx_plus_yy);
*/

#ifdef HAVE_SSE2
inline double ApproxADivByInvSqrtB(double a, double b)
{
    __m128d regB = _mm_load_sd(&b);
    __m128d regB_half = _mm_mul_sd(regB, _mm_set1_pd(0.5));
    // Compute rough approximation of 1 / sqrt(b) with _mm_rsqrt_ss
    regB =
        _mm_cvtss_sd(regB, _mm_rsqrt_ss(_mm_cvtsd_ss(_mm_setzero_ps(), regB)));
    // And perform one step of Newton-Raphson approximation to improve it
    // approx_inv_sqrt_x = approx_inv_sqrt_x*(1.5 -
    //                            0.5*x*approx_inv_sqrt_x*approx_inv_sqrt_x);
    regB = _mm_mul_sd(
        regB, _mm_sub_sd(_mm_set1_pd(1.5),
                         _mm_mul_sd(regB_half, _mm_mul_sd(regB, regB))));
    double dOut;
    _mm_store_sd(&dOut, regB);
    return a * dOut;
}
#else
inline double ApproxADivByInvSqrtB(double a, double b)
{
    return a / sqrt(b);
}
#endif

static double NormalizeAngle(double angle, double normalizer)
{
    angle = std::fmod(angle, normalizer);
    if (angle < 0)
        angle = normalizer + angle;

    return angle;
}

static double DifferenceBetweenAngles(double angle1, double angle2,
                                      double normalizer)
{
    double diff =
        NormalizeAngle(angle1, normalizer) - NormalizeAngle(angle2, normalizer);
    diff = std::abs(diff);
    if (diff > normalizer / 2)
        diff = normalizer - diff;
    return diff;
}

template <class T, GradientAlg alg>
static float GDALHillshadeIgorAlg(const T *afWin, float /*fDstNoDataValue*/,
                                  void *pData)
{
    GDALHillshadeAlgData *psData = static_cast<GDALHillshadeAlgData *>(pData);

    double slopeDegrees;
    if (alg == GradientAlg::HORN)
    {
        const double dx = ((afWin[0] + afWin[3] + afWin[3] + afWin[6]) -
                           (afWin[2] + afWin[5] + afWin[5] + afWin[8])) *
                          psData->inv_ewres;

        const double dy = ((afWin[6] + afWin[7] + afWin[7] + afWin[8]) -
                           (afWin[0] + afWin[1] + afWin[1] + afWin[2])) *
                          psData->inv_nsres;

        const double key = (dx * dx + dy * dy);
        slopeDegrees = atan(sqrt(key) * psData->z_scaled) * kdfRadiansToDegrees;
    }
    else  // ZEVENBERGEN_THORNE
    {
        const double dx = (afWin[3] - afWin[5]) * psData->inv_ewres;
        const double dy = (afWin[7] - afWin[1]) * psData->inv_nsres;
        const double key = dx * dx + dy * dy;

        slopeDegrees = atan(sqrt(key) * psData->z_scaled) * kdfRadiansToDegrees;
    }

    double aspect;
    if (alg == GradientAlg::HORN)
    {
        const double dx = ((afWin[2] + afWin[5] + afWin[5] + afWin[8]) -
                           (afWin[0] + afWin[3] + afWin[3] + afWin[6]));

        const double dy2 = ((afWin[6] + afWin[7] + afWin[7] + afWin[8]) -
                            (afWin[0] + afWin[1] + afWin[1] + afWin[2]));

        aspect = atan2(dy2, -dx);
    }
    else  // ZEVENBERGEN_THORNE
    {
        const double dx = afWin[5] - afWin[3];
        const double dy = afWin[7] - afWin[1];
        aspect = atan2(dy, -dx);
    }

    double slopeStrength = slopeDegrees / 90;

    double aspectDiff = DifferenceBetweenAngles(
        aspect, M_PI * 3 / 2 - psData->azRadians, M_PI * 2);

    double aspectStrength = 1 - aspectDiff / M_PI;

    double shadowness = 1.0 - slopeStrength * aspectStrength;

    return static_cast<float>(255.0 * shadowness);
}

template <class T, GradientAlg alg>
static float GDALHillshadeAlg(const T *afWin, float /*fDstNoDataValue*/,
                              void *pData)
{
    GDALHillshadeAlgData *psData = static_cast<GDALHillshadeAlgData *>(pData);

    // First Slope ...
    double x, y;
    Gradient<T, alg>::calc(afWin, psData->inv_ewres, psData->inv_nsres, x, y);

    const double xx_plus_yy = x * x + y * y;

    // ... then the shade value
    const double cang_mul_254 =
        ApproxADivByInvSqrtB(psData->sin_altRadians_mul_254 -
                                 (y * psData->cos_az_mul_cos_alt_mul_z_mul_254 -
                                  x * psData->sin_az_mul_cos_alt_mul_z_mul_254),
                             1 + psData->square_z * xx_plus_yy);

    const double cang = cang_mul_254 <= 0.0 ? 1.0 : 1.0 + cang_mul_254;

    return static_cast<float>(cang);
}

template <class T>
static float GDALHillshadeAlg_same_res(const T *afWin,
                                       float /*fDstNoDataValue*/, void *pData)
{
    GDALHillshadeAlgData *psData = static_cast<GDALHillshadeAlgData *>(pData);

    // First Slope ...
    /*x = (afWin[0] + afWin[3] + afWin[3] + afWin[6]) -
        (afWin[2] + afWin[5] + afWin[5] + afWin[8]);

    y = (afWin[0] + afWin[1] + afWin[1] + afWin[2]) -
        (afWin[6] + afWin[7] + afWin[7] + afWin[8]);*/

    T accX = afWin[0] - afWin[8];
    const T six_minus_two = afWin[6] - afWin[2];
    T accY = accX;
    const T three_minus_five = afWin[3] - afWin[5];
    const T one_minus_seven = afWin[1] - afWin[7];
    accX += three_minus_five;
    accY += one_minus_seven;
    accX += three_minus_five;
    accY += one_minus_seven;
    accX += six_minus_two;
    accY -= six_minus_two;
    const double x = accX;
    const double y = accY;

    const double xx_plus_yy = x * x + y * y;

    // ... then the shade value
    const double cang_mul_254 = ApproxADivByInvSqrtB(
        psData->sin_altRadians_mul_254 +
            (x * psData->sin_az_mul_cos_alt_mul_z_mul_254_mul_inv_res +
             y * psData->cos_az_mul_cos_alt_mul_z_mul_254_mul_inv_res),
        1 + psData->square_z_mul_square_inv_res * xx_plus_yy);

    const double cang = cang_mul_254 <= 0.0 ? 1.0 : 1.0 + cang_mul_254;

    return static_cast<float>(cang);
}

#ifdef HAVE_16_SSE_REG
template <class T>
static int
GDALHillshadeAlg_same_res_multisample(const T *pafThreeLineWin, int nLine1Off,
                                      int nLine2Off, int nLine3Off, int nXSize,
                                      void *pData, float *pafOutputBuf)
{
    // Only valid for T == int

    GDALHillshadeAlgData *psData = static_cast<GDALHillshadeAlgData *>(pData);
    const __m128d reg_fact_x =
        _mm_load1_pd(&(psData->sin_az_mul_cos_alt_mul_z_mul_254_mul_inv_res));
    const __m128d reg_fact_y =
        _mm_load1_pd(&(psData->cos_az_mul_cos_alt_mul_z_mul_254_mul_inv_res));
    const __m128d reg_constant_num =
        _mm_load1_pd(&(psData->sin_altRadians_mul_254));
    const __m128d reg_constant_denom =
        _mm_load1_pd(&(psData->square_z_mul_square_inv_res));
    const __m128d reg_half = _mm_set1_pd(0.5);
    const __m128d reg_one = _mm_add_pd(reg_half, reg_half);
    const __m128 reg_one_float = _mm_set1_ps(1);

    int j = 1;  // Used after for.
    for (; j < nXSize - 4; j += 4)
    {
        const T *firstLine = pafThreeLineWin + nLine1Off + j - 1;
        const T *secondLine = pafThreeLineWin + nLine2Off + j - 1;
        const T *thirdLine = pafThreeLineWin + nLine3Off + j - 1;

        __m128i firstLine0 =
            _mm_loadu_si128(reinterpret_cast<__m128i const *>(firstLine));
        __m128i firstLine1 =
            _mm_loadu_si128(reinterpret_cast<__m128i const *>(firstLine + 1));
        __m128i firstLine2 =
            _mm_loadu_si128(reinterpret_cast<__m128i const *>(firstLine + 2));
        __m128i thirdLine0 =
            _mm_loadu_si128(reinterpret_cast<__m128i const *>(thirdLine));
        __m128i thirdLine1 =
            _mm_loadu_si128(reinterpret_cast<__m128i const *>(thirdLine + 1));
        __m128i thirdLine2 =
            _mm_loadu_si128(reinterpret_cast<__m128i const *>(thirdLine + 2));
        __m128i accX = _mm_sub_epi32(firstLine0, thirdLine2);
        const __m128i six_minus_two = _mm_sub_epi32(thirdLine0, firstLine2);
        __m128i accY = accX;
        const __m128i three_minus_five = _mm_sub_epi32(
            _mm_loadu_si128(reinterpret_cast<__m128i const *>(secondLine)),
            _mm_loadu_si128(reinterpret_cast<__m128i const *>(secondLine + 2)));
        const __m128i one_minus_seven = _mm_sub_epi32(firstLine1, thirdLine1);
        accX = _mm_add_epi32(accX, three_minus_five);
        accY = _mm_add_epi32(accY, one_minus_seven);
        accX = _mm_add_epi32(accX, three_minus_five);
        accY = _mm_add_epi32(accY, one_minus_seven);
        accX = _mm_add_epi32(accX, six_minus_two);
        accY = _mm_sub_epi32(accY, six_minus_two);

        __m128d reg_x0 = _mm_cvtepi32_pd(accX);
        __m128d reg_x1 = _mm_cvtepi32_pd(_mm_srli_si128(accX, 8));
        __m128d reg_y0 = _mm_cvtepi32_pd(accY);
        __m128d reg_y1 = _mm_cvtepi32_pd(_mm_srli_si128(accY, 8));
        __m128d reg_xx_plus_yy0 =
            _mm_add_pd(_mm_mul_pd(reg_x0, reg_x0), _mm_mul_pd(reg_y0, reg_y0));
        __m128d reg_xx_plus_yy1 =
            _mm_add_pd(_mm_mul_pd(reg_x1, reg_x1), _mm_mul_pd(reg_y1, reg_y1));

        __m128d reg_numerator0 = _mm_add_pd(
            reg_constant_num, _mm_add_pd(_mm_mul_pd(reg_fact_x, reg_x0),
                                         _mm_mul_pd(reg_fact_y, reg_y0)));
        __m128d reg_numerator1 = _mm_add_pd(
            reg_constant_num, _mm_add_pd(_mm_mul_pd(reg_fact_x, reg_x1),
                                         _mm_mul_pd(reg_fact_y, reg_y1)));
        __m128d reg_denominator0 = _mm_add_pd(
            reg_one, _mm_mul_pd(reg_constant_denom, reg_xx_plus_yy0));
        __m128d reg_denominator1 = _mm_add_pd(
            reg_one, _mm_mul_pd(reg_constant_denom, reg_xx_plus_yy1));

        __m128d regB0 = reg_denominator0;
        __m128d regB1 = reg_denominator1;
        __m128d regB0_half = _mm_mul_pd(regB0, reg_half);
        __m128d regB1_half = _mm_mul_pd(regB1, reg_half);
        // Compute rough approximation of 1 / sqrt(b) with _mm_rsqrt_ps
        regB0 = _mm_cvtps_pd(_mm_rsqrt_ps(_mm_cvtpd_ps(regB0)));
        regB1 = _mm_cvtps_pd(_mm_rsqrt_ps(_mm_cvtpd_ps(regB1)));
        // And perform one step of Newton-Raphson approximation to improve it
        // approx_inv_sqrt_x = approx_inv_sqrt_x*(1.5 -
        //                            0.5*x*approx_inv_sqrt_x*approx_inv_sqrt_x);
        const __m128d reg_one_and_a_half = _mm_add_pd(reg_one, reg_half);
        regB0 = _mm_mul_pd(
            regB0,
            _mm_sub_pd(reg_one_and_a_half,
                       _mm_mul_pd(regB0_half, _mm_mul_pd(regB0, regB0))));
        regB1 = _mm_mul_pd(
            regB1,
            _mm_sub_pd(reg_one_and_a_half,
                       _mm_mul_pd(regB1_half, _mm_mul_pd(regB1, regB1))));
        reg_numerator0 = _mm_mul_pd(reg_numerator0, regB0);
        reg_numerator1 = _mm_mul_pd(reg_numerator1, regB1);

        __m128 res = _mm_castsi128_ps(
            _mm_unpacklo_epi64(_mm_castps_si128(_mm_cvtpd_ps(reg_numerator0)),
                               _mm_castps_si128(_mm_cvtpd_ps(reg_numerator1))));
        res = _mm_add_ps(res, reg_one_float);
        res = _mm_max_ps(res, reg_one_float);

        _mm_storeu_ps(pafOutputBuf + j, res);
    }
    return j;
}
#endif

static const double INV_SQUARE_OF_HALF_PI = 1.0 / ((M_PI * M_PI) / 4);

template <class T, GradientAlg alg>
static float GDALHillshadeCombinedAlg(const T *afWin, float /*fDstNoDataValue*/,
                                      void *pData)
{
    GDALHillshadeAlgData *psData = static_cast<GDALHillshadeAlgData *>(pData);

    // First Slope ...
    double x, y;
    Gradient<T, alg>::calc(afWin, psData->inv_ewres, psData->inv_nsres, x, y);

    const double xx_plus_yy = x * x + y * y;

    const double slope = xx_plus_yy * psData->square_z;

    // ... then the shade value
    double cang = acos(ApproxADivByInvSqrtB(
        psData->sin_altRadians - (y * psData->cos_az_mul_cos_alt_mul_z -
                                  x * psData->sin_az_mul_cos_alt_mul_z),
        1 + slope));

    // combined shading
    cang = 1 - cang * atan(sqrt(slope)) * INV_SQUARE_OF_HALF_PI;

    const float fcang =
        cang <= 0.0 ? 1.0f : static_cast<float>(1.0 + (254.0 * cang));

    return fcang;
}

static void *GDALCreateHillshadeData(double *adfGeoTransform, double z,
                                     double scale, double alt, double az,
                                     GradientAlg eAlg)
{
    GDALHillshadeAlgData *pData = static_cast<GDALHillshadeAlgData *>(
        CPLCalloc(1, sizeof(GDALHillshadeAlgData)));

    pData->inv_nsres = 1.0 / adfGeoTransform[5];
    pData->inv_ewres = 1.0 / adfGeoTransform[1];
    pData->sin_altRadians = sin(alt * kdfDegreesToRadians);
    pData->azRadians = az * kdfDegreesToRadians;
    pData->z_scaled =
        z / ((eAlg == GradientAlg::ZEVENBERGEN_THORNE ? 2 : 8) * scale);
    pData->cos_alt_mul_z = cos(alt * kdfDegreesToRadians) * pData->z_scaled;
    pData->cos_az_mul_cos_alt_mul_z =
        cos(pData->azRadians) * pData->cos_alt_mul_z;
    pData->sin_az_mul_cos_alt_mul_z =
        sin(pData->azRadians) * pData->cos_alt_mul_z;
    pData->square_z = pData->z_scaled * pData->z_scaled;

    pData->sin_altRadians_mul_254 = 254.0 * pData->sin_altRadians;
    pData->cos_az_mul_cos_alt_mul_z_mul_254 =
        254.0 * pData->cos_az_mul_cos_alt_mul_z;
    pData->sin_az_mul_cos_alt_mul_z_mul_254 =
        254.0 * pData->sin_az_mul_cos_alt_mul_z;

    if (adfGeoTransform[1] == -adfGeoTransform[5])
    {
        pData->square_z_mul_square_inv_res =
            pData->square_z * pData->inv_ewres * pData->inv_ewres;
        pData->cos_az_mul_cos_alt_mul_z_mul_254_mul_inv_res =
            pData->cos_az_mul_cos_alt_mul_z_mul_254 * -pData->inv_ewres;
        pData->sin_az_mul_cos_alt_mul_z_mul_254_mul_inv_res =
            pData->sin_az_mul_cos_alt_mul_z_mul_254 * pData->inv_ewres;
    }

    return pData;
}

/************************************************************************/
/*                   GDALHillshadeMultiDirectional()                    */
/************************************************************************/

typedef struct
{
    double inv_nsres;
    double inv_ewres;
    double square_z;
    double sin_altRadians_mul_127;
    double sin_altRadians_mul_254;

    double cos_alt_mul_z_mul_127;
    double cos225_az_mul_cos_alt_mul_z_mul_127;

} GDALHillshadeMultiDirectionalAlgData;

template <class T, GradientAlg alg>
static float GDALHillshadeMultiDirectionalAlg(const T *afWin,
                                              float /*fDstNoDataValue*/,
                                              void *pData)
{
    const GDALHillshadeMultiDirectionalAlgData *psData =
        static_cast<const GDALHillshadeMultiDirectionalAlgData *>(pData);

    // First Slope ...
    double x, y;
    Gradient<T, alg>::calc(afWin, psData->inv_ewres, psData->inv_nsres, x, y);

    // See http://pubs.usgs.gov/of/1992/of92-422/of92-422.pdf
    // W225 = sin^2(aspect - 225) = 0.5 * (1 - 2 * sin(aspect) * cos(aspect))
    // W270 = sin^2(aspect - 270) = cos^2(aspect)
    // W315 = sin^2(aspect - 315) = 0.5 * (1 + 2 * sin(aspect) * cos(aspect))
    // W360 = sin^2(aspect - 360) = sin^2(aspect)
    // hillshade=  0.5 * (W225 * hillshade(az=225) +
    //                    W270 * hillshade(az=270) +
    //                    W315 * hillshade(az=315) +
    //                    W360 * hillshade(az=360))

    const double xx = x * x;
    const double yy = y * y;
    const double xx_plus_yy = xx + yy;
    if (xx_plus_yy == 0.0)
        return static_cast<float>(1.0 + psData->sin_altRadians_mul_254);

    // ... then the shade value from different azimuth
    double val225_mul_127 =
        psData->sin_altRadians_mul_127 +
        (x - y) * psData->cos225_az_mul_cos_alt_mul_z_mul_127;
    val225_mul_127 = (val225_mul_127 <= 0.0) ? 0.0 : val225_mul_127;
    double val270_mul_127 =
        psData->sin_altRadians_mul_127 - x * psData->cos_alt_mul_z_mul_127;
    val270_mul_127 = (val270_mul_127 <= 0.0) ? 0.0 : val270_mul_127;
    double val315_mul_127 =
        psData->sin_altRadians_mul_127 +
        (x + y) * psData->cos225_az_mul_cos_alt_mul_z_mul_127;
    val315_mul_127 = (val315_mul_127 <= 0.0) ? 0.0 : val315_mul_127;
    double val360_mul_127 =
        psData->sin_altRadians_mul_127 - y * psData->cos_alt_mul_z_mul_127;
    val360_mul_127 = (val360_mul_127 <= 0.0) ? 0.0 : val360_mul_127;

    // ... then the weighted shading
    const double weight_225 = 0.5 * xx_plus_yy - x * y;
    const double weight_270 = xx;
    const double weight_315 = xx_plus_yy - weight_225;
    const double weight_360 = yy;
    const double cang_mul_127 = ApproxADivByInvSqrtB(
        (weight_225 * val225_mul_127 + weight_270 * val270_mul_127 +
         weight_315 * val315_mul_127 + weight_360 * val360_mul_127) /
            xx_plus_yy,
        1 + psData->square_z * xx_plus_yy);

    const double cang = 1.0 + cang_mul_127;

    return static_cast<float>(cang);
}

static void *GDALCreateHillshadeMultiDirectionalData(double *adfGeoTransform,
                                                     double z, double scale,
                                                     double alt,
                                                     GradientAlg eAlg)
{
    GDALHillshadeMultiDirectionalAlgData *pData =
        static_cast<GDALHillshadeMultiDirectionalAlgData *>(
            CPLCalloc(1, sizeof(GDALHillshadeMultiDirectionalAlgData)));

    pData->inv_nsres = 1.0 / adfGeoTransform[5];
    pData->inv_ewres = 1.0 / adfGeoTransform[1];
    const double z_scaled =
        z / ((eAlg == GradientAlg::ZEVENBERGEN_THORNE ? 2 : 8) * scale);
    const double cos_alt_mul_z = cos(alt * kdfDegreesToRadians) * z_scaled;
    pData->square_z = z_scaled * z_scaled;

    pData->sin_altRadians_mul_127 = 127.0 * sin(alt * kdfDegreesToRadians);
    pData->sin_altRadians_mul_254 = 254.0 * sin(alt * kdfDegreesToRadians);
    pData->cos_alt_mul_z_mul_127 = 127.0 * cos_alt_mul_z;
    pData->cos225_az_mul_cos_alt_mul_z_mul_127 =
        127.0 * cos(225 * kdfDegreesToRadians) * cos_alt_mul_z;

    return pData;
}

/************************************************************************/
/*                         GDALSlope()                                  */
/************************************************************************/

typedef struct
{
    double nsres;
    double ewres;
    double scale;
    int slopeFormat;
} GDALSlopeAlgData;

template <class T>
static float GDALSlopeHornAlg(const T *afWin, float /*fDstNoDataValue*/,
                              void *pData)
{
    const GDALSlopeAlgData *psData =
        static_cast<const GDALSlopeAlgData *>(pData);

    const double dx = ((afWin[0] + afWin[3] + afWin[3] + afWin[6]) -
                       (afWin[2] + afWin[5] + afWin[5] + afWin[8])) /
                      psData->ewres;

    const double dy = ((afWin[6] + afWin[7] + afWin[7] + afWin[8]) -
                       (afWin[0] + afWin[1] + afWin[1] + afWin[2])) /
                      psData->nsres;

    const double key = (dx * dx + dy * dy);

    if (psData->slopeFormat == 1)
        return static_cast<float>(atan(sqrt(key) / (8 * psData->scale)) *
                                  kdfRadiansToDegrees);

    return static_cast<float>(100 * (sqrt(key) / (8 * psData->scale)));
}

template <class T>
static float GDALSlopeZevenbergenThorneAlg(const T *afWin,
                                           float /*fDstNoDataValue*/,
                                           void *pData)
{
    const GDALSlopeAlgData *psData =
        static_cast<const GDALSlopeAlgData *>(pData);

    const double dx = (afWin[3] - afWin[5]) / psData->ewres;
    const double dy = (afWin[7] - afWin[1]) / psData->nsres;
    const double key = dx * dx + dy * dy;

    if (psData->slopeFormat == 1)
        return static_cast<float>(atan(sqrt(key) / (2 * psData->scale)) *
                                  kdfRadiansToDegrees);

    return static_cast<float>(100 * (sqrt(key) / (2 * psData->scale)));
}

static void *GDALCreateSlopeData(double *adfGeoTransform, double scale,
                                 int slopeFormat)
{
    GDALSlopeAlgData *pData =
        static_cast<GDALSlopeAlgData *>(CPLMalloc(sizeof(GDALSlopeAlgData)));

    pData->nsres = adfGeoTransform[5];
    pData->ewres = adfGeoTransform[1];
    pData->scale = scale;
    pData->slopeFormat = slopeFormat;
    return pData;
}

/************************************************************************/
/*                         GDALAspect()                                 */
/************************************************************************/

typedef struct
{
    bool bAngleAsAzimuth;
} GDALAspectAlgData;

template <class T>
static float GDALAspectAlg(const T *afWin, float fDstNoDataValue, void *pData)
{
    const GDALAspectAlgData *psData =
        static_cast<const GDALAspectAlgData *>(pData);

    const double dx = ((afWin[2] + afWin[5] + afWin[5] + afWin[8]) -
                       (afWin[0] + afWin[3] + afWin[3] + afWin[6]));

    const double dy = ((afWin[6] + afWin[7] + afWin[7] + afWin[8]) -
                       (afWin[0] + afWin[1] + afWin[1] + afWin[2]));

    float aspect = static_cast<float>(atan2(dy, -dx) / kdfDegreesToRadians);

    if (dx == 0 && dy == 0)
    {
        /* Flat area */
        aspect = fDstNoDataValue;
    }
    else if (psData->bAngleAsAzimuth)
    {
        if (aspect > 90.0f)
            aspect = 450.0f - aspect;
        else
            aspect = 90.0f - aspect;
    }
    else
    {
        if (aspect < 0)
            aspect += 360.0f;
    }

    if (aspect == 360.0f)
        aspect = 0.0;

    return aspect;
}

template <class T>
static float GDALAspectZevenbergenThorneAlg(const T *afWin,
                                            float fDstNoDataValue, void *pData)
{
    const GDALAspectAlgData *psData =
        static_cast<const GDALAspectAlgData *>(pData);

    const double dx = afWin[5] - afWin[3];
    const double dy = afWin[7] - afWin[1];
    float aspect = static_cast<float>(atan2(dy, -dx) / kdfDegreesToRadians);
    if (dx == 0 && dy == 0)
    {
        /* Flat area */
        aspect = fDstNoDataValue;
    }
    else if (psData->bAngleAsAzimuth)
    {
        if (aspect > 90.0f)
            aspect = 450.0f - aspect;
        else
            aspect = 90.0f - aspect;
    }
    else
    {
        if (aspect < 0)
            aspect += 360.0f;
    }

    if (aspect == 360.0f)
        aspect = 0.0;

    return aspect;
}

static void *GDALCreateAspectData(bool bAngleAsAzimuth)
{
    GDALAspectAlgData *pData =
        static_cast<GDALAspectAlgData *>(CPLMalloc(sizeof(GDALAspectAlgData)));

    pData->bAngleAsAzimuth = bAngleAsAzimuth;
    return pData;
}

/************************************************************************/
/*                      GDALColorRelief()                               */
/************************************************************************/

typedef struct
{
    double dfVal;
    int nR;
    int nG;
    int nB;
    int nA;
} ColorAssociation;

static int GDALColorReliefSortColors(const ColorAssociation &pA,
                                     const ColorAssociation &pB)
{
    /* Sort NaN in first position */
    return (CPLIsNan(pA.dfVal) && !CPLIsNan(pB.dfVal)) || pA.dfVal < pB.dfVal;
}

static void
GDALColorReliefProcessColors(ColorAssociation **ppasColorAssociation,
                             int *pnColorAssociation, int bSrcHasNoData,
                             double dfSrcNoDataValue)
{
    ColorAssociation *pasColorAssociation = *ppasColorAssociation;
    int nColorAssociation = *pnColorAssociation;

    std::stable_sort(pasColorAssociation,
                     pasColorAssociation + nColorAssociation,
                     GDALColorReliefSortColors);

    ColorAssociation *pPrevious =
        (nColorAssociation > 0) ? &pasColorAssociation[0] : nullptr;
    int nAdded = 0;
    int nRepeatedEntryIndex = 0;
    for (int i = 1; i < nColorAssociation; ++i)
    {
        ColorAssociation *pCurrent = &pasColorAssociation[i];

        // NaN comparison is always false, so it handles itself
        if (bSrcHasNoData && pCurrent->dfVal == dfSrcNoDataValue)
        {
            // Check if there is enough distance between the nodata value and
            // its predecessor.
            const double dfNewValue =
                pCurrent->dfVal - std::abs(pCurrent->dfVal) * DBL_EPSILON;
            if (dfNewValue > pPrevious->dfVal)
            {
                // add one just below the nodata value
                ++nAdded;
                ColorAssociation sPrevious = *pPrevious;
                pasColorAssociation =
                    static_cast<ColorAssociation *>(CPLRealloc(
                        pasColorAssociation, (nColorAssociation + nAdded) *
                                                 sizeof(ColorAssociation)));
                pCurrent = &pasColorAssociation[i];
                pasColorAssociation[nColorAssociation + nAdded - 1] = sPrevious;
                pasColorAssociation[nColorAssociation + nAdded - 1].dfVal =
                    dfNewValue;
            }
        }
        else if (bSrcHasNoData && pPrevious->dfVal == dfSrcNoDataValue)
        {
            // Check if there is enough distance between the nodata value and
            // its successor.
            const double dfNewValue =
                pPrevious->dfVal + std::abs(pPrevious->dfVal) * DBL_EPSILON;
            if (dfNewValue < pCurrent->dfVal)
            {
                // add one just above the nodata value
                ++nAdded;
                ColorAssociation sCurrent = *pCurrent;
                pasColorAssociation =
                    static_cast<ColorAssociation *>(CPLRealloc(
                        pasColorAssociation, (nColorAssociation + nAdded) *
                                                 sizeof(ColorAssociation)));
                pCurrent = &pasColorAssociation[i];
                pasColorAssociation[nColorAssociation + nAdded - 1] = sCurrent;
                pasColorAssociation[nColorAssociation + nAdded - 1].dfVal =
                    dfNewValue;
            }
        }
        else if (nRepeatedEntryIndex == 0 &&
                 pCurrent->dfVal == pPrevious->dfVal)
        {
            // second of a series of equivalent entries
            nRepeatedEntryIndex = i;
        }
        else if (nRepeatedEntryIndex != 0 &&
                 pCurrent->dfVal != pPrevious->dfVal)
        {
            // Get the distance between the predecessor and successor of the
            // equivalent entries.
            double dfTotalDist = 0.0;
            double dfLeftDist = 0.0;
            if (nRepeatedEntryIndex >= 2)
            {
                ColorAssociation *pLower =
                    &pasColorAssociation[nRepeatedEntryIndex - 2];
                dfTotalDist = pCurrent->dfVal - pLower->dfVal;
                dfLeftDist = pPrevious->dfVal - pLower->dfVal;
            }
            else
            {
                dfTotalDist = pCurrent->dfVal - pPrevious->dfVal;
            }

            // check if this distance is enough
            const int nEquivalentCount = i - nRepeatedEntryIndex + 1;
            if (dfTotalDist >
                std::abs(pPrevious->dfVal) * nEquivalentCount * DBL_EPSILON)
            {
                // balance the alterations
                double dfMultiplier =
                    0.5 - nEquivalentCount * dfLeftDist / dfTotalDist;
                for (int j = nRepeatedEntryIndex - 1; j < i; ++j)
                {
                    pasColorAssociation[j].dfVal +=
                        (std::abs(pPrevious->dfVal) * dfMultiplier) *
                        DBL_EPSILON;
                    dfMultiplier += 1.0;
                }
            }
            else
            {
                // Fallback to the old behavior: keep equivalent entries as
                // they are.
            }

            nRepeatedEntryIndex = 0;
        }
        pPrevious = pCurrent;
    }

    if (nAdded)
    {
        std::stable_sort(pasColorAssociation,
                         pasColorAssociation + nColorAssociation + nAdded,
                         GDALColorReliefSortColors);
        *ppasColorAssociation = pasColorAssociation;
        *pnColorAssociation = nColorAssociation + nAdded;
    }
}

static bool GDALColorReliefGetRGBA(ColorAssociation *pasColorAssociation,
                                   int nColorAssociation, double dfVal,
                                   ColorSelectionMode eColorSelectionMode,
                                   int *pnR, int *pnG, int *pnB, int *pnA)
{
    int lower = 0;

    // Special case for NaN
    if (CPLIsNan(pasColorAssociation[0].dfVal))
    {
        if (CPLIsNan(dfVal))
        {
            *pnR = pasColorAssociation[0].nR;
            *pnG = pasColorAssociation[0].nG;
            *pnB = pasColorAssociation[0].nB;
            *pnA = pasColorAssociation[0].nA;
            return true;
        }
        else
        {
            lower = 1;
        }
    }

    // Find the index of the first element in the LUT input array that
    // is not smaller than the dfVal value.
    int i = 0;
    int upper = nColorAssociation - 1;
    while (true)
    {
        const int mid = (lower + upper) / 2;
        if (upper - lower <= 1)
        {
            if (dfVal <= pasColorAssociation[lower].dfVal)
                i = lower;
            else if (dfVal <= pasColorAssociation[upper].dfVal)
                i = upper;
            else
                i = upper + 1;
            break;
        }
        else if (pasColorAssociation[mid].dfVal >= dfVal)
        {
            upper = mid;
        }
        else
        {
            lower = mid;
        }
    }

    if (i == 0)
    {
        if (eColorSelectionMode == COLOR_SELECTION_EXACT_ENTRY &&
            pasColorAssociation[0].dfVal != dfVal)
        {
            *pnR = 0;
            *pnG = 0;
            *pnB = 0;
            *pnA = 0;
            return false;
        }
        else
        {
            *pnR = pasColorAssociation[0].nR;
            *pnG = pasColorAssociation[0].nG;
            *pnB = pasColorAssociation[0].nB;
            *pnA = pasColorAssociation[0].nA;
            return true;
        }
    }
    else if (i == nColorAssociation)
    {
        if (eColorSelectionMode == COLOR_SELECTION_EXACT_ENTRY &&
            pasColorAssociation[i - 1].dfVal != dfVal)
        {
            *pnR = 0;
            *pnG = 0;
            *pnB = 0;
            *pnA = 0;
            return false;
        }
        else
        {
            *pnR = pasColorAssociation[i - 1].nR;
            *pnG = pasColorAssociation[i - 1].nG;
            *pnB = pasColorAssociation[i - 1].nB;
            *pnA = pasColorAssociation[i - 1].nA;
            return true;
        }
    }
    else
    {
        if (eColorSelectionMode == COLOR_SELECTION_EXACT_ENTRY &&
            pasColorAssociation[i - 1].dfVal != dfVal)
        {
            *pnR = 0;
            *pnG = 0;
            *pnB = 0;
            *pnA = 0;
            return false;
        }

        if (eColorSelectionMode == COLOR_SELECTION_NEAREST_ENTRY &&
            pasColorAssociation[i - 1].dfVal != dfVal)
        {
            int index = i;
            if (dfVal - pasColorAssociation[i - 1].dfVal <
                pasColorAssociation[i].dfVal - dfVal)
            {
                --index;
            }

            *pnR = pasColorAssociation[index].nR;
            *pnG = pasColorAssociation[index].nG;
            *pnB = pasColorAssociation[index].nB;
            *pnA = pasColorAssociation[index].nA;
            return true;
        }

        if (pasColorAssociation[i - 1].dfVal == dfVal)
        {
            *pnR = pasColorAssociation[i - 1].nR;
            *pnG = pasColorAssociation[i - 1].nG;
            *pnB = pasColorAssociation[i - 1].nB;
            *pnA = pasColorAssociation[i - 1].nA;
            return true;
        }

        if (CPLIsNan(pasColorAssociation[i - 1].dfVal))
        {
            *pnR = pasColorAssociation[i].nR;
            *pnG = pasColorAssociation[i].nG;
            *pnB = pasColorAssociation[i].nB;
            *pnA = pasColorAssociation[i].nA;
            return true;
        }

        const double dfRatio =
            (dfVal - pasColorAssociation[i - 1].dfVal) /
            (pasColorAssociation[i].dfVal - pasColorAssociation[i - 1].dfVal);
        *pnR = static_cast<int>(0.45 + pasColorAssociation[i - 1].nR +
                                dfRatio * (pasColorAssociation[i].nR -
                                           pasColorAssociation[i - 1].nR));
        if (*pnR < 0)
            *pnR = 0;
        else if (*pnR > 255)
            *pnR = 255;
        *pnG = static_cast<int>(0.45 + pasColorAssociation[i - 1].nG +
                                dfRatio * (pasColorAssociation[i].nG -
                                           pasColorAssociation[i - 1].nG));
        if (*pnG < 0)
            *pnG = 0;
        else if (*pnG > 255)
            *pnG = 255;
        *pnB = static_cast<int>(0.45 + pasColorAssociation[i - 1].nB +
                                dfRatio * (pasColorAssociation[i].nB -
                                           pasColorAssociation[i - 1].nB));
        if (*pnB < 0)
            *pnB = 0;
        else if (*pnB > 255)
            *pnB = 255;
        *pnA = static_cast<int>(0.45 + pasColorAssociation[i - 1].nA +
                                dfRatio * (pasColorAssociation[i].nA -
                                           pasColorAssociation[i - 1].nA));
        if (*pnA < 0)
            *pnA = 0;
        else if (*pnA > 255)
            *pnA = 255;

        return true;
    }
}

/* dfPct : percentage between 0 and 1 */
static double GDALColorReliefGetAbsoluteValFromPct(GDALRasterBandH hSrcBand,
                                                   double dfPct)
{
    int bSuccessMin = FALSE;
    int bSuccessMax = FALSE;
    double dfMin = GDALGetRasterMinimum(hSrcBand, &bSuccessMin);
    double dfMax = GDALGetRasterMaximum(hSrcBand, &bSuccessMax);
    if (!bSuccessMin || !bSuccessMax)
    {
        double dfMean = 0.0;
        double dfStdDev = 0.0;
        fprintf(stderr, "Computing source raster statistics...\n");
        GDALComputeRasterStatistics(hSrcBand, FALSE, &dfMin, &dfMax, &dfMean,
                                    &dfStdDev, nullptr, nullptr);
    }
    return dfMin + dfPct * (dfMax - dfMin);
}

typedef struct
{
    const char *name;
    float r, g, b;
} NamedColor;

static const NamedColor namedColors[] = {
    {"white", 1.00, 1.00, 1.00},   {"black", 0.00, 0.00, 0.00},
    {"red", 1.00, 0.00, 0.00},     {"green", 0.00, 1.00, 0.00},
    {"blue", 0.00, 0.00, 1.00},    {"yellow", 1.00, 1.00, 0.00},
    {"magenta", 1.00, 0.00, 1.00}, {"cyan", 0.00, 1.00, 1.00},
    {"aqua", 0.00, 0.75, 0.75},    {"grey", 0.75, 0.75, 0.75},
    {"gray", 0.75, 0.75, 0.75},    {"orange", 1.00, 0.50, 0.00},
    {"brown", 0.75, 0.50, 0.25},   {"purple", 0.50, 0.00, 1.00},
    {"violet", 0.50, 0.00, 1.00},  {"indigo", 0.00, 0.50, 1.00},
};

static bool GDALColorReliefFindNamedColor(const char *pszColorName, int *pnR,
                                          int *pnG, int *pnB)
{
    *pnR = 0;
    *pnG = 0;
    *pnB = 0;
    for (unsigned int i = 0; i < sizeof(namedColors) / sizeof(namedColors[0]);
         i++)
    {
        if (EQUAL(pszColorName, namedColors[i].name))
        {
            *pnR = static_cast<int>(255.0 * namedColors[i].r);
            *pnG = static_cast<int>(255.0 * namedColors[i].g);
            *pnB = static_cast<int>(255.0 * namedColors[i].b);
            return true;
        }
    }
    return false;
}

static ColorAssociation *
GDALColorReliefParseColorFile(GDALRasterBandH hSrcBand,
                              const char *pszColorFilename, int *pnColors)
{
    VSILFILE *fpColorFile = VSIFOpenL(pszColorFilename, "rt");
    if (fpColorFile == nullptr)
    {
        CPLError(CE_Failure, CPLE_AppDefined, "Cannot find %s",
                 pszColorFilename);
        *pnColors = 0;
        return nullptr;
    }

    ColorAssociation *pasColorAssociation = nullptr;
    int nColorAssociation = 0;

    int bSrcHasNoData = FALSE;
    double dfSrcNoDataValue =
        GDALGetRasterNoDataValue(hSrcBand, &bSrcHasNoData);

    const char *pszLine = nullptr;
    bool bIsGMT_CPT = false;
    while ((pszLine = CPLReadLineL(fpColorFile)) != nullptr)
    {
        if (pszLine[0] == '#' && strstr(pszLine, "COLOR_MODEL"))
        {
            if (strstr(pszLine, "COLOR_MODEL = RGB") == nullptr)
            {
                CPLError(CE_Failure, CPLE_AppDefined,
                         "Only COLOR_MODEL = RGB is supported");
                CPLFree(pasColorAssociation);
                *pnColors = 0;
                return nullptr;
            }
            bIsGMT_CPT = true;
        }

        char **papszFields =
            CSLTokenizeStringComplex(pszLine, " ,\t:", FALSE, FALSE);
        /* Skip comment lines */
        const int nTokens = CSLCount(papszFields);
        if (nTokens >= 1 &&
            (papszFields[0][0] == '#' || papszFields[0][0] == '/'))
        {
            CSLDestroy(papszFields);
            continue;
        }

        if (bIsGMT_CPT && nTokens == 8)
        {
            pasColorAssociation = static_cast<ColorAssociation *>(
                CPLRealloc(pasColorAssociation,
                           (nColorAssociation + 2) * sizeof(ColorAssociation)));

            pasColorAssociation[nColorAssociation].dfVal =
                CPLAtof(papszFields[0]);
            pasColorAssociation[nColorAssociation].nR = atoi(papszFields[1]);
            pasColorAssociation[nColorAssociation].nG = atoi(papszFields[2]);
            pasColorAssociation[nColorAssociation].nB = atoi(papszFields[3]);
            pasColorAssociation[nColorAssociation].nA = 255;
            nColorAssociation++;

            pasColorAssociation[nColorAssociation].dfVal =
                CPLAtof(papszFields[4]);
            pasColorAssociation[nColorAssociation].nR = atoi(papszFields[5]);
            pasColorAssociation[nColorAssociation].nG = atoi(papszFields[6]);
            pasColorAssociation[nColorAssociation].nB = atoi(papszFields[7]);
            pasColorAssociation[nColorAssociation].nA = 255;
            nColorAssociation++;
        }
        else if (bIsGMT_CPT && nTokens == 4)
        {
            // The first token might be B (background), F (foreground) or N
            // (nodata) Just interested in N.
            if (EQUAL(papszFields[0], "N") && bSrcHasNoData)
            {
                pasColorAssociation =
                    static_cast<ColorAssociation *>(CPLRealloc(
                        pasColorAssociation,
                        (nColorAssociation + 1) * sizeof(ColorAssociation)));

                pasColorAssociation[nColorAssociation].dfVal = dfSrcNoDataValue;
                pasColorAssociation[nColorAssociation].nR =
                    atoi(papszFields[1]);
                pasColorAssociation[nColorAssociation].nG =
                    atoi(papszFields[2]);
                pasColorAssociation[nColorAssociation].nB =
                    atoi(papszFields[3]);
                pasColorAssociation[nColorAssociation].nA = 255;
                nColorAssociation++;
            }
        }
        else if (!bIsGMT_CPT && nTokens >= 2)
        {
            pasColorAssociation = static_cast<ColorAssociation *>(
                CPLRealloc(pasColorAssociation,
                           (nColorAssociation + 1) * sizeof(ColorAssociation)));
            if (EQUAL(papszFields[0], "nv"))
            {
                if (!bSrcHasNoData)
                {
                    CPLError(CE_Warning, CPLE_AppDefined,
                             "Input dataset has no nodata value. "
                             "Ignoring 'nv' entry in color palette");
                    CSLDestroy(papszFields);
                    continue;
                }
                pasColorAssociation[nColorAssociation].dfVal = dfSrcNoDataValue;
            }
            else if (strlen(papszFields[0]) > 1 &&
                     papszFields[0][strlen(papszFields[0]) - 1] == '%')
            {
                const double dfPct = CPLAtof(papszFields[0]) / 100.0;
                if (dfPct < 0.0 || dfPct > 1.0)
                {
                    CPLError(CE_Failure, CPLE_AppDefined,
                             "Wrong value for a percentage : %s",
                             papszFields[0]);
                    CSLDestroy(papszFields);
                    VSIFCloseL(fpColorFile);
                    CPLFree(pasColorAssociation);
                    *pnColors = 0;
                    return nullptr;
                }
                pasColorAssociation[nColorAssociation].dfVal =
                    GDALColorReliefGetAbsoluteValFromPct(hSrcBand, dfPct);
            }
            else
            {
                pasColorAssociation[nColorAssociation].dfVal =
                    CPLAtof(papszFields[0]);
            }

            if (nTokens >= 4)
            {
                pasColorAssociation[nColorAssociation].nR =
                    atoi(papszFields[1]);
                pasColorAssociation[nColorAssociation].nG =
                    atoi(papszFields[2]);
                pasColorAssociation[nColorAssociation].nB =
                    atoi(papszFields[3]);
                pasColorAssociation[nColorAssociation].nA =
                    (CSLCount(papszFields) >= 5) ? atoi(papszFields[4]) : 255;
            }
            else
            {
                int nR = 0;
                int nG = 0;
                int nB = 0;
                if (!GDALColorReliefFindNamedColor(papszFields[1], &nR, &nG,
                                                   &nB))
                {
                    CPLError(CE_Failure, CPLE_AppDefined, "Unknown color : %s",
                             papszFields[1]);
                    CSLDestroy(papszFields);
                    VSIFCloseL(fpColorFile);
                    CPLFree(pasColorAssociation);
                    *pnColors = 0;
                    return nullptr;
                }
                pasColorAssociation[nColorAssociation].nR = nR;
                pasColorAssociation[nColorAssociation].nG = nG;
                pasColorAssociation[nColorAssociation].nB = nB;
                pasColorAssociation[nColorAssociation].nA =
                    (CSLCount(papszFields) >= 3) ? atoi(papszFields[2]) : 255;
            }

            nColorAssociation++;
        }
        CSLDestroy(papszFields);
    }
    VSIFCloseL(fpColorFile);

    if (nColorAssociation == 0)
    {
        CPLError(CE_Failure, CPLE_AppDefined,
                 "No color association found in %s", pszColorFilename);
        CPLFree(pasColorAssociation);
        *pnColors = 0;
        return nullptr;
    }

    GDALColorReliefProcessColors(&pasColorAssociation, &nColorAssociation,
                                 bSrcHasNoData, dfSrcNoDataValue);

    *pnColors = nColorAssociation;
    return pasColorAssociation;
}

static GByte *GDALColorReliefPrecompute(GDALRasterBandH hSrcBand,
                                        ColorAssociation *pasColorAssociation,
                                        int nColorAssociation,
                                        ColorSelectionMode eColorSelectionMode,
                                        int *pnIndexOffset)
{
    const GDALDataType eDT = GDALGetRasterDataType(hSrcBand);
    GByte *pabyPrecomputed = nullptr;
    const int nIndexOffset = (eDT == GDT_Int16) ? 32768 : 0;
    *pnIndexOffset = nIndexOffset;
    const int nXSize = GDALGetRasterBandXSize(hSrcBand);
    const int nYSize = GDALGetRasterBandYSize(hSrcBand);
    if (eDT == GDT_Byte || ((eDT == GDT_Int16 || eDT == GDT_UInt16) &&
                            static_cast<GIntBig>(nXSize) * nYSize > 65536))
    {
        const int iMax = (eDT == GDT_Byte) ? 256 : 65536;
        pabyPrecomputed = static_cast<GByte *>(VSI_MALLOC2_VERBOSE(4, iMax));
        if (pabyPrecomputed)
        {
            for (int i = 0; i < iMax; i++)
            {
                int nR = 0;
                int nG = 0;
                int nB = 0;
                int nA = 0;
                GDALColorReliefGetRGBA(pasColorAssociation, nColorAssociation,
                                       i - nIndexOffset, eColorSelectionMode,
                                       &nR, &nG, &nB, &nA);
                pabyPrecomputed[4 * i] = static_cast<GByte>(nR);
                pabyPrecomputed[4 * i + 1] = static_cast<GByte>(nG);
                pabyPrecomputed[4 * i + 2] = static_cast<GByte>(nB);
                pabyPrecomputed[4 * i + 3] = static_cast<GByte>(nA);
            }
        }
    }
    return pabyPrecomputed;
}

/************************************************************************/
/* ==================================================================== */
/*                       GDALColorReliefDataset                        */
/* ==================================================================== */
/************************************************************************/

class GDALColorReliefRasterBand;

class GDALColorReliefDataset : public GDALDataset
{
    friend class GDALColorReliefRasterBand;

    GDALDatasetH hSrcDS;
    GDALRasterBandH hSrcBand;
    int nColorAssociation;
    ColorAssociation *pasColorAssociation;
    ColorSelectionMode eColorSelectionMode;
    GByte *pabyPrecomputed;
    int nIndexOffset;
    float *pafSourceBuf;
    int *panSourceBuf;
    int nCurBlockXOff;
    int nCurBlockYOff;

  public:
    GDALColorReliefDataset(GDALDatasetH hSrcDS, GDALRasterBandH hSrcBand,
                           const char *pszColorFilename,
                           ColorSelectionMode eColorSelectionMode, int bAlpha);
    ~GDALColorReliefDataset();

    bool InitOK() const
    {
        return pafSourceBuf != nullptr || panSourceBuf != nullptr;
    }

    CPLErr GetGeoTransform(double *padfGeoTransform) override;
    const OGRSpatialReference *GetSpatialRef() const override;
};

/************************************************************************/
/* ==================================================================== */
/*                    GDALColorReliefRasterBand                       */
/* ==================================================================== */
/************************************************************************/

class GDALColorReliefRasterBand : public GDALRasterBand
{
    friend class GDALColorReliefDataset;

  public:
    GDALColorReliefRasterBand(GDALColorReliefDataset *, int);

    virtual CPLErr IReadBlock(int, int, void *) override;
    virtual GDALColorInterp GetColorInterpretation() override;
};

GDALColorReliefDataset::GDALColorReliefDataset(
    GDALDatasetH hSrcDSIn, GDALRasterBandH hSrcBandIn,
    const char *pszColorFilename, ColorSelectionMode eColorSelectionModeIn,
    int bAlpha)
    : hSrcDS(hSrcDSIn), hSrcBand(hSrcBandIn), nColorAssociation(0),
      pasColorAssociation(nullptr), eColorSelectionMode(eColorSelectionModeIn),
      pabyPrecomputed(nullptr), nIndexOffset(0), pafSourceBuf(nullptr),
      panSourceBuf(nullptr), nCurBlockXOff(-1), nCurBlockYOff(-1)
{
    pasColorAssociation = GDALColorReliefParseColorFile(
        hSrcBand, pszColorFilename, &nColorAssociation);

    nRasterXSize = GDALGetRasterXSize(hSrcDS);
    nRasterYSize = GDALGetRasterYSize(hSrcDS);

    int nBlockXSize = 0;
    int nBlockYSize = 0;
    GDALGetBlockSize(hSrcBand, &nBlockXSize, &nBlockYSize);

    pabyPrecomputed = GDALColorReliefPrecompute(
        hSrcBand, pasColorAssociation, nColorAssociation, eColorSelectionMode,
        &nIndexOffset);

    for (int i = 0; i < ((bAlpha) ? 4 : 3); i++)
    {
        SetBand(i + 1, new GDALColorReliefRasterBand(this, i + 1));
    }

    if (pabyPrecomputed)
        panSourceBuf = static_cast<int *>(
            VSI_MALLOC3_VERBOSE(sizeof(int), nBlockXSize, nBlockYSize));
    else
        pafSourceBuf = static_cast<float *>(
            VSI_MALLOC3_VERBOSE(sizeof(float), nBlockXSize, nBlockYSize));
}

GDALColorReliefDataset::~GDALColorReliefDataset()
{
    CPLFree(pasColorAssociation);
    CPLFree(pabyPrecomputed);
    CPLFree(panSourceBuf);
    CPLFree(pafSourceBuf);
}

CPLErr GDALColorReliefDataset::GetGeoTransform(double *padfGeoTransform)
{
    return GDALGetGeoTransform(hSrcDS, padfGeoTransform);
}

const OGRSpatialReference *GDALColorReliefDataset::GetSpatialRef() const
{
    return GDALDataset::FromHandle(hSrcDS)->GetSpatialRef();
}

GDALColorReliefRasterBand::GDALColorReliefRasterBand(
    GDALColorReliefDataset *poDSIn, int nBandIn)
{
    poDS = poDSIn;
    nBand = nBandIn;
    eDataType = GDT_Byte;
    GDALGetBlockSize(poDSIn->hSrcBand, &nBlockXSize, &nBlockYSize);
}

CPLErr GDALColorReliefRasterBand::IReadBlock(int nBlockXOff, int nBlockYOff,
                                             void *pImage)
{
    GDALColorReliefDataset *poGDS =
        cpl::down_cast<GDALColorReliefDataset *>(poDS);
    const int nReqXSize = (nBlockXOff + 1) * nBlockXSize >= nRasterXSize
                              ? nRasterXSize - nBlockXOff * nBlockXSize
                              : nBlockXSize;

    const int nReqYSize = (nBlockYOff + 1) * nBlockYSize >= nRasterYSize
                              ? nRasterYSize - nBlockYOff * nBlockYSize
                              : nBlockYSize;

    if (poGDS->nCurBlockXOff != nBlockXOff ||
        poGDS->nCurBlockYOff != nBlockYOff)
    {
        poGDS->nCurBlockXOff = nBlockXOff;
        poGDS->nCurBlockYOff = nBlockYOff;

        const CPLErr eErr = GDALRasterIO(
            poGDS->hSrcBand, GF_Read, nBlockXOff * nBlockXSize,
            nBlockYOff * nBlockYSize, nReqXSize, nReqYSize,
            (poGDS->panSourceBuf) ? static_cast<void *>(poGDS->panSourceBuf)
                                  : static_cast<void *>(poGDS->pafSourceBuf),
            nReqXSize, nReqYSize,
            (poGDS->panSourceBuf) ? GDT_Int32 : GDT_Float32, 0, 0);
        if (eErr != CE_None)
        {
            memset(pImage, 0, nBlockXSize * nBlockYSize);
            return eErr;
        }
    }

    int j = 0;
    if (poGDS->panSourceBuf)
    {
        for (int y = 0; y < nReqYSize; y++)
        {
            for (int x = 0; x < nReqXSize; x++)
            {
                const int nIndex = poGDS->panSourceBuf[j] + poGDS->nIndexOffset;
                static_cast<GByte *>(pImage)[y * nBlockXSize + x] =
                    poGDS->pabyPrecomputed[4 * nIndex + nBand - 1];
                j++;
            }
        }
    }
    else
    {
        int anComponents[4] = {0, 0, 0, 0};
        for (int y = 0; y < nReqYSize; y++)
        {
            for (int x = 0; x < nReqXSize; x++)
            {
                GDALColorReliefGetRGBA(
                    poGDS->pasColorAssociation, poGDS->nColorAssociation,
                    poGDS->pafSourceBuf[j], poGDS->eColorSelectionMode,
                    &anComponents[0], &anComponents[1], &anComponents[2],
                    &anComponents[3]);
                static_cast<GByte *>(pImage)[y * nBlockXSize + x] =
                    static_cast<GByte>(anComponents[nBand - 1]);
                j++;
            }
        }
    }

    return CE_None;
}

GDALColorInterp GDALColorReliefRasterBand::GetColorInterpretation()
{
    return static_cast<GDALColorInterp>(GCI_RedBand + nBand - 1);
}

static CPLErr
GDALColorRelief(GDALRasterBandH hSrcBand, GDALRasterBandH hDstBand1,
                GDALRasterBandH hDstBand2, GDALRasterBandH hDstBand3,
                GDALRasterBandH hDstBand4, const char *pszColorFilename,
                ColorSelectionMode eColorSelectionMode,
                GDALProgressFunc pfnProgress, void *pProgressData)
{
    if (hSrcBand == nullptr || hDstBand1 == nullptr || hDstBand2 == nullptr ||
        hDstBand3 == nullptr)
        return CE_Failure;

    int nColorAssociation = 0;
    ColorAssociation *pasColorAssociation = GDALColorReliefParseColorFile(
        hSrcBand, pszColorFilename, &nColorAssociation);
    if (pasColorAssociation == nullptr)
        return CE_Failure;

    if (pfnProgress == nullptr)
        pfnProgress = GDALDummyProgress;

    /* -------------------------------------------------------------------- */
    /*      Precompute the map from values to RGBA quadruplets              */
    /*      for GDT_Byte, GDT_Int16 or GDT_UInt16                           */
    /* -------------------------------------------------------------------- */
    int nIndexOffset = 0;
    GByte *pabyPrecomputed = GDALColorReliefPrecompute(
        hSrcBand, pasColorAssociation, nColorAssociation, eColorSelectionMode,
        &nIndexOffset);

    /* -------------------------------------------------------------------- */
    /*      Initialize progress counter.                                    */
    /* -------------------------------------------------------------------- */

    const int nXSize = GDALGetRasterBandXSize(hSrcBand);
    const int nYSize = GDALGetRasterBandYSize(hSrcBand);

    float *pafSourceBuf = nullptr;
    int *panSourceBuf = nullptr;
    if (pabyPrecomputed)
        panSourceBuf =
            static_cast<int *>(VSI_MALLOC2_VERBOSE(sizeof(int), nXSize));
    else
        pafSourceBuf =
            static_cast<float *>(VSI_MALLOC2_VERBOSE(sizeof(float), nXSize));
    GByte *pabyDestBuf1 = static_cast<GByte *>(VSI_MALLOC2_VERBOSE(4, nXSize));
    GByte *pabyDestBuf2 = pabyDestBuf1 ? pabyDestBuf1 + nXSize : nullptr;
    GByte *pabyDestBuf3 = pabyDestBuf2 ? pabyDestBuf2 + nXSize : nullptr;
    GByte *pabyDestBuf4 = pabyDestBuf3 ? pabyDestBuf3 + nXSize : nullptr;

    if ((pabyPrecomputed != nullptr && panSourceBuf == nullptr) ||
        (pabyPrecomputed == nullptr && pafSourceBuf == nullptr) ||
        pabyDestBuf1 == nullptr)
    {
        VSIFree(pabyPrecomputed);
        CPLFree(pafSourceBuf);
        CPLFree(panSourceBuf);
        CPLFree(pabyDestBuf1);
        CPLFree(pasColorAssociation);

        return CE_Failure;
    }

    if (!pfnProgress(0.0, nullptr, pProgressData))
    {
        CPLError(CE_Failure, CPLE_UserInterrupt, "User terminated");
        VSIFree(pabyPrecomputed);
        CPLFree(pafSourceBuf);
        CPLFree(panSourceBuf);
        CPLFree(pabyDestBuf1);
        CPLFree(pasColorAssociation);

        return CE_Failure;
    }

    int nR = 0;
    int nG = 0;
    int nB = 0;
    int nA = 0;

    for (int i = 0; i < nYSize; i++)
    {
        /* Read source buffer */
        CPLErr eErr = GDALRasterIO(
            hSrcBand, GF_Read, 0, i, nXSize, 1,
            panSourceBuf ? static_cast<void *>(panSourceBuf)
                         : static_cast<void *>(pafSourceBuf),
            nXSize, 1, panSourceBuf ? GDT_Int32 : GDT_Float32, 0, 0);
        if (eErr != CE_None)
        {
            VSIFree(pabyPrecomputed);
            CPLFree(pafSourceBuf);
            CPLFree(panSourceBuf);
            CPLFree(pabyDestBuf1);
            CPLFree(pasColorAssociation);
            return eErr;
        }

        if (pabyPrecomputed)
        {
            for (int j = 0; j < nXSize; j++)
            {
                int nIndex = panSourceBuf[j] + nIndexOffset;
                pabyDestBuf1[j] = pabyPrecomputed[4 * nIndex];
                pabyDestBuf2[j] = pabyPrecomputed[4 * nIndex + 1];
                pabyDestBuf3[j] = pabyPrecomputed[4 * nIndex + 2];
                pabyDestBuf4[j] = pabyPrecomputed[4 * nIndex + 3];
            }
        }
        else
        {
            for (int j = 0; j < nXSize; j++)
            {
                GDALColorReliefGetRGBA(pasColorAssociation, nColorAssociation,
                                       pafSourceBuf[j], eColorSelectionMode,
                                       &nR, &nG, &nB, &nA);
                pabyDestBuf1[j] = static_cast<GByte>(nR);
                pabyDestBuf2[j] = static_cast<GByte>(nG);
                pabyDestBuf3[j] = static_cast<GByte>(nB);
                pabyDestBuf4[j] = static_cast<GByte>(nA);
            }
        }

        /* -----------------------------------------
         * Write Line to Raster
         */
        eErr = GDALRasterIO(hDstBand1, GF_Write, 0, i, nXSize, 1, pabyDestBuf1,
                            nXSize, 1, GDT_Byte, 0, 0);
        if (eErr != CE_None)
        {
            VSIFree(pabyPrecomputed);
            CPLFree(pafSourceBuf);
            CPLFree(panSourceBuf);
            CPLFree(pabyDestBuf1);
            CPLFree(pasColorAssociation);

            return eErr;
        }

        eErr = GDALRasterIO(hDstBand2, GF_Write, 0, i, nXSize, 1, pabyDestBuf2,
                            nXSize, 1, GDT_Byte, 0, 0);
        if (eErr != CE_None)
        {
            VSIFree(pabyPrecomputed);
            CPLFree(pafSourceBuf);
            CPLFree(panSourceBuf);
            CPLFree(pabyDestBuf1);
            CPLFree(pasColorAssociation);

            return eErr;
        }

        eErr = GDALRasterIO(hDstBand3, GF_Write, 0, i, nXSize, 1, pabyDestBuf3,
                            nXSize, 1, GDT_Byte, 0, 0);
        if (eErr != CE_None)
        {
            VSIFree(pabyPrecomputed);
            CPLFree(pafSourceBuf);
            CPLFree(panSourceBuf);
            CPLFree(pabyDestBuf1);
            CPLFree(pasColorAssociation);

            return eErr;
        }

        if (hDstBand4)
        {
            eErr = GDALRasterIO(hDstBand4, GF_Write, 0, i, nXSize, 1,
                                pabyDestBuf4, nXSize, 1, GDT_Byte, 0, 0);
            if (eErr != CE_None)
            {
                VSIFree(pabyPrecomputed);
                CPLFree(pafSourceBuf);
                CPLFree(panSourceBuf);
                CPLFree(pabyDestBuf1);
                CPLFree(pasColorAssociation);

                return eErr;
            }
        }

        if (!pfnProgress(1.0 * (i + 1) / nYSize, nullptr, pProgressData))
        {
            CPLError(CE_Failure, CPLE_UserInterrupt, "User terminated");

            VSIFree(pabyPrecomputed);
            CPLFree(pafSourceBuf);
            CPLFree(panSourceBuf);
            CPLFree(pabyDestBuf1);
            CPLFree(pasColorAssociation);

            return CE_Failure;
        }
    }

    pfnProgress(1.0, nullptr, pProgressData);

    VSIFree(pabyPrecomputed);
    CPLFree(pafSourceBuf);
    CPLFree(panSourceBuf);
    CPLFree(pabyDestBuf1);
    CPLFree(pasColorAssociation);

    return CE_None;
}

/************************************************************************/
/*                     GDALGenerateVRTColorRelief()                     */
/************************************************************************/

static CPLErr GDALGenerateVRTColorRelief(const char *pszDstFilename,
                                         GDALDatasetH hSrcDataset,
                                         GDALRasterBandH hSrcBand,
                                         const char *pszColorFilename,
                                         ColorSelectionMode eColorSelectionMode,
                                         bool bAddAlpha)
{
    int nColorAssociation = 0;
    ColorAssociation *pasColorAssociation = GDALColorReliefParseColorFile(
        hSrcBand, pszColorFilename, &nColorAssociation);
    if (pasColorAssociation == nullptr)
        return CE_Failure;

    VSILFILE *fp = VSIFOpenL(pszDstFilename, "wt");
    if (fp == nullptr)
    {
        CPLFree(pasColorAssociation);
        return CE_Failure;
    }

    const int nXSize = GDALGetRasterBandXSize(hSrcBand);
    const int nYSize = GDALGetRasterBandYSize(hSrcBand);

    bool bOK =
        VSIFPrintfL(fp, "<VRTDataset rasterXSize=\"%d\" rasterYSize=\"%d\">\n",
                    nXSize, nYSize) > 0;
    const char *pszProjectionRef = GDALGetProjectionRef(hSrcDataset);
    if (pszProjectionRef && pszProjectionRef[0] != '\0')
    {
        char *pszEscapedString =
            CPLEscapeString(pszProjectionRef, -1, CPLES_XML);
        bOK &= VSIFPrintfL(fp, "  <SRS>%s</SRS>\n", pszEscapedString) > 0;
        VSIFree(pszEscapedString);
    }
    double adfGT[6] = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
    if (GDALGetGeoTransform(hSrcDataset, adfGT) == CE_None)
    {
        bOK &= VSIFPrintfL(fp,
                           "  <GeoTransform> %.16g, %.16g, %.16g, "
                           "%.16g, %.16g, %.16g</GeoTransform>\n",
                           adfGT[0], adfGT[1], adfGT[2], adfGT[3], adfGT[4],
                           adfGT[5]) > 0;
    }

    int nBlockXSize = 0;
    int nBlockYSize = 0;
    GDALGetBlockSize(hSrcBand, &nBlockXSize, &nBlockYSize);

    int bRelativeToVRT = FALSE;
    CPLString osPath = CPLGetPath(pszDstFilename);
    char *pszSourceFilename = CPLStrdup(CPLExtractRelativePath(
        osPath.c_str(), GDALGetDescription(hSrcDataset), &bRelativeToVRT));

    const int nBands = 3 + (bAddAlpha ? 1 : 0);

    for (int iBand = 0; iBand < nBands; iBand++)
    {
        bOK &=
            VSIFPrintfL(fp, "  <VRTRasterBand dataType=\"Byte\" band=\"%d\">\n",
                        iBand + 1) > 0;
        bOK &= VSIFPrintfL(
                   fp, "    <ColorInterp>%s</ColorInterp>\n",
                   GDALGetColorInterpretationName(
                       static_cast<GDALColorInterp>(GCI_RedBand + iBand))) > 0;
        bOK &= VSIFPrintfL(fp, "    <ComplexSource>\n") > 0;
        bOK &= VSIFPrintfL(fp,
                           "      <SourceFilename "
                           "relativeToVRT=\"%d\">%s</SourceFilename>\n",
                           bRelativeToVRT, pszSourceFilename) > 0;
        bOK &= VSIFPrintfL(fp, "      <SourceBand>%d</SourceBand>\n",
                           GDALGetBandNumber(hSrcBand)) > 0;
        bOK &= VSIFPrintfL(fp,
                           "      <SourceProperties RasterXSize=\"%d\" "
                           "RasterYSize=\"%d\" DataType=\"%s\" "
                           "BlockXSize=\"%d\" BlockYSize=\"%d\"/>\n",
                           nXSize, nYSize,
                           GDALGetDataTypeName(GDALGetRasterDataType(hSrcBand)),
                           nBlockXSize, nBlockYSize) > 0;
        bOK &=
            VSIFPrintfL(
                fp,
                "      "
                "<SrcRect xOff=\"0\" yOff=\"0\" xSize=\"%d\" ySize=\"%d\"/>\n",
                nXSize, nYSize) > 0;
        bOK &=
            VSIFPrintfL(
                fp,
                "      "
                "<DstRect xOff=\"0\" yOff=\"0\" xSize=\"%d\" ySize=\"%d\"/>\n",
                nXSize, nYSize) > 0;

        bOK &= VSIFPrintfL(fp, "      <LUT>") > 0;

        for (int iColor = 0; iColor < nColorAssociation; iColor++)
        {
            if (eColorSelectionMode == COLOR_SELECTION_NEAREST_ENTRY)
            {
                if (iColor > 1)
                    bOK &= VSIFPrintfL(fp, ",") > 0;
            }
            else if (iColor > 0)
                bOK &= VSIFPrintfL(fp, ",") > 0;

            const double dfVal = pasColorAssociation[iColor].dfVal;

            if (eColorSelectionMode == COLOR_SELECTION_EXACT_ENTRY)
            {
                bOK &= VSIFPrintfL(fp, "%.18g:0,",
                                   dfVal - fabs(dfVal) * DBL_EPSILON) > 0;
            }
            else if (iColor > 0 &&
                     eColorSelectionMode == COLOR_SELECTION_NEAREST_ENTRY)
            {
                const double dfMidVal =
                    (dfVal + pasColorAssociation[iColor - 1].dfVal) / 2.0;
                bOK &=
                    VSIFPrintfL(
                        fp, "%.18g:%d", dfMidVal - fabs(dfMidVal) * DBL_EPSILON,
                        (iBand == 0)   ? pasColorAssociation[iColor - 1].nR
                        : (iBand == 1) ? pasColorAssociation[iColor - 1].nG
                        : (iBand == 2)
                            ? pasColorAssociation[iColor - 1].nB
                            : pasColorAssociation[iColor - 1].nA) > 0;
                bOK &= VSIFPrintfL(
                           fp, ",%.18g:%d", dfMidVal,
                           (iBand == 0)   ? pasColorAssociation[iColor].nR
                           : (iBand == 1) ? pasColorAssociation[iColor].nG
                           : (iBand == 2) ? pasColorAssociation[iColor].nB
                                          : pasColorAssociation[iColor].nA) > 0;
            }

            if (eColorSelectionMode != COLOR_SELECTION_NEAREST_ENTRY)
            {
                if (dfVal != static_cast<double>(static_cast<int>(dfVal)))
                    bOK &= VSIFPrintfL(fp, "%.18g", dfVal) > 0;
                else
                    bOK &= VSIFPrintfL(fp, "%d", static_cast<int>(dfVal)) > 0;
                bOK &= VSIFPrintfL(
                           fp, ":%d",
                           (iBand == 0)   ? pasColorAssociation[iColor].nR
                           : (iBand == 1) ? pasColorAssociation[iColor].nG
                           : (iBand == 2) ? pasColorAssociation[iColor].nB
                                          : pasColorAssociation[iColor].nA) > 0;
            }

            if (eColorSelectionMode == COLOR_SELECTION_EXACT_ENTRY)
            {
                bOK &= VSIFPrintfL(fp, ",%.18g:0",
                                   dfVal + fabs(dfVal) * DBL_EPSILON) > 0;
            }
        }
        bOK &= VSIFPrintfL(fp, "</LUT>\n") > 0;

        bOK &= VSIFPrintfL(fp, "    </ComplexSource>\n") > 0;
        bOK &= VSIFPrintfL(fp, "  </VRTRasterBand>\n") > 0;
    }

    CPLFree(pszSourceFilename);

    bOK &= VSIFPrintfL(fp, "</VRTDataset>\n") > 0;

    VSIFCloseL(fp);

    CPLFree(pasColorAssociation);

    return (bOK) ? CE_None : CE_Failure;
}

/************************************************************************/
/*                         GDALTRIAlg()                                 */
/************************************************************************/

template <class T> static T MyAbs(T x);

template <> float MyAbs(float x)
{
    return fabsf(x);
}
template <> int MyAbs(int x)
{
    return x >= 0 ? x : -x;
}

// Implements Wilson et al. (2007), for bathymetric use cases
template <class T>
static float GDALTRIAlgWilson(const T *afWin, float /*fDstNoDataValue*/,
                              void * /*pData*/)
{
    // Terrain Ruggedness is average difference in height
    return (MyAbs(afWin[0] - afWin[4]) + MyAbs(afWin[1] - afWin[4]) +
            MyAbs(afWin[2] - afWin[4]) + MyAbs(afWin[3] - afWin[4]) +
            MyAbs(afWin[5] - afWin[4]) + MyAbs(afWin[6] - afWin[4]) +
            MyAbs(afWin[7] - afWin[4]) + MyAbs(afWin[8] - afWin[4])) *
           0.125f;
}

// Implements Riley, S.J., De Gloria, S.D., Elliot, R. (1999): A Terrain
// Ruggedness that Quantifies Topographic Heterogeneity. Intermountain Journal
// of Science, Vol.5, No.1-4, pp.23-27 for terrestrial use cases
template <class T>
static float GDALTRIAlgRiley(const T *afWin, float /*fDstNoDataValue*/,
                             void * /*pData*/)
{
    const auto square = [](double x) { return x * x; };

    return static_cast<float>(
        std::sqrt(square(afWin[0] - afWin[4]) + square(afWin[1] - afWin[4]) +
                  square(afWin[2] - afWin[4]) + square(afWin[3] - afWin[4]) +
                  square(afWin[5] - afWin[4]) + square(afWin[6] - afWin[4]) +
                  square(afWin[7] - afWin[4]) + square(afWin[8] - afWin[4])));
}

/************************************************************************/
/*                         GDALTPIAlg()                                 */
/************************************************************************/

template <class T>
static float GDALTPIAlg(const T *afWin, float /*fDstNoDataValue*/,
                        void * /*pData*/)
{
    // Terrain Position is the difference between
    // The central cell and the mean of the surrounding cells
    return afWin[4] - ((afWin[0] + afWin[1] + afWin[2] + afWin[3] + afWin[5] +
                        afWin[6] + afWin[7] + afWin[8]) *
                       0.125f);
}

/************************************************************************/
/*                     GDALRoughnessAlg()                               */
/************************************************************************/

template <class T>
static float GDALRoughnessAlg(const T *afWin, float /*fDstNoDataValue*/,
                              void * /*pData*/)
{
    // Roughness is the largest difference
    //  between any two cells

    T pafRoughnessMin = afWin[0];
    T pafRoughnessMax = afWin[0];

    for (int k = 1; k < 9; k++)
    {
        if (afWin[k] > pafRoughnessMax)
        {
            pafRoughnessMax = afWin[k];
        }
        if (afWin[k] < pafRoughnessMin)
        {
            pafRoughnessMin = afWin[k];
        }
    }
    return static_cast<float>(pafRoughnessMax - pafRoughnessMin);
}

/************************************************************************/
/* ==================================================================== */
/*                       GDALGeneric3x3Dataset                        */
/* ==================================================================== */
/************************************************************************/

template <class T> class GDALGeneric3x3RasterBand;

template <class T> class GDALGeneric3x3Dataset : public GDALDataset
{
    friend class GDALGeneric3x3RasterBand<T>;

    typename GDALGeneric3x3ProcessingAlg<T>::type pfnAlg;
    void *pAlgData;
    GDALDatasetH hSrcDS;
    GDALRasterBandH hSrcBand;
    T *apafSourceBuf[3];
    int bDstHasNoData;
    double dfDstNoDataValue;
    int nCurLine;
    bool bComputeAtEdges;

  public:
    GDALGeneric3x3Dataset(GDALDatasetH hSrcDS, GDALRasterBandH hSrcBand,
                          GDALDataType eDstDataType, int bDstHasNoData,
                          double dfDstNoDataValue,
                          typename GDALGeneric3x3ProcessingAlg<T>::type pfnAlg,
                          void *pAlgData, bool bComputeAtEdges);
    ~GDALGeneric3x3Dataset();

    bool InitOK() const
    {
        return apafSourceBuf[0] != nullptr && apafSourceBuf[1] != nullptr &&
               apafSourceBuf[2] != nullptr;
    }

    CPLErr GetGeoTransform(double *padfGeoTransform) override;
    const OGRSpatialReference *GetSpatialRef() const override;
};

/************************************************************************/
/* ==================================================================== */
/*                    GDALGeneric3x3RasterBand                       */
/* ==================================================================== */
/************************************************************************/

template <class T> class GDALGeneric3x3RasterBand : public GDALRasterBand
{
    friend class GDALGeneric3x3Dataset<T>;
    int bSrcHasNoData;
    T fSrcNoDataValue;
    int bIsSrcNoDataNan;
    GDALDataType eReadDT;

    void InitWithNoData(void *pImage);

  public:
    GDALGeneric3x3RasterBand(GDALGeneric3x3Dataset<T> *poDSIn,
                             GDALDataType eDstDataType);

    virtual CPLErr IReadBlock(int, int, void *) override;
    virtual double GetNoDataValue(int *pbHasNoData) override;
};

template <class T>
GDALGeneric3x3Dataset<T>::GDALGeneric3x3Dataset(
    GDALDatasetH hSrcDSIn, GDALRasterBandH hSrcBandIn,
    GDALDataType eDstDataType, int bDstHasNoDataIn, double dfDstNoDataValueIn,
    typename GDALGeneric3x3ProcessingAlg<T>::type pfnAlgIn, void *pAlgDataIn,
    bool bComputeAtEdgesIn)
    : pfnAlg(pfnAlgIn), pAlgData(pAlgDataIn), hSrcDS(hSrcDSIn),
      hSrcBand(hSrcBandIn), bDstHasNoData(bDstHasNoDataIn),
      dfDstNoDataValue(dfDstNoDataValueIn), nCurLine(-1),
      bComputeAtEdges(bComputeAtEdgesIn)
{
    CPLAssert(eDstDataType == GDT_Byte || eDstDataType == GDT_Float32);

    nRasterXSize = GDALGetRasterXSize(hSrcDS);
    nRasterYSize = GDALGetRasterYSize(hSrcDS);

    SetBand(1, new GDALGeneric3x3RasterBand<T>(this, eDstDataType));

    apafSourceBuf[0] =
        static_cast<T *>(VSI_MALLOC2_VERBOSE(sizeof(T), nRasterXSize));
    apafSourceBuf[1] =
        static_cast<T *>(VSI_MALLOC2_VERBOSE(sizeof(T), nRasterXSize));
    apafSourceBuf[2] =
        static_cast<T *>(VSI_MALLOC2_VERBOSE(sizeof(T), nRasterXSize));
}

template <class T> GDALGeneric3x3Dataset<T>::~GDALGeneric3x3Dataset()
{
    CPLFree(apafSourceBuf[0]);
    CPLFree(apafSourceBuf[1]);
    CPLFree(apafSourceBuf[2]);
}

template <class T>
CPLErr GDALGeneric3x3Dataset<T>::GetGeoTransform(double *padfGeoTransform)
{
    return GDALGetGeoTransform(hSrcDS, padfGeoTransform);
}

template <class T>
const OGRSpatialReference *GDALGeneric3x3Dataset<T>::GetSpatialRef() const
{
    return GDALDataset::FromHandle(hSrcDS)->GetSpatialRef();
}

template <class T>
GDALGeneric3x3RasterBand<T>::GDALGeneric3x3RasterBand(
    GDALGeneric3x3Dataset<T> *poDSIn, GDALDataType eDstDataType)
    : bSrcHasNoData(FALSE), fSrcNoDataValue(0), bIsSrcNoDataNan(FALSE),
      eReadDT(GDT_Unknown)
{
    poDS = poDSIn;
    nBand = 1;
    eDataType = eDstDataType;
    nBlockXSize = poDS->GetRasterXSize();
    nBlockYSize = 1;

    const double dfNoDataValue =
        GDALGetRasterNoDataValue(poDSIn->hSrcBand, &bSrcHasNoData);
    if (std::numeric_limits<T>::is_integer)
    {
        eReadDT = GDT_Int32;
        if (bSrcHasNoData)
        {
            GDALDataType eSrcDT = GDALGetRasterDataType(poDSIn->hSrcBand);
            CPLAssert(eSrcDT == GDT_Byte || eSrcDT == GDT_UInt16 ||
                      eSrcDT == GDT_Int16);
            const int nMinVal = (eSrcDT == GDT_Byte)     ? 0
                                : (eSrcDT == GDT_UInt16) ? 0
                                                         : -32768;
            const int nMaxVal = (eSrcDT == GDT_Byte)     ? 255
                                : (eSrcDT == GDT_UInt16) ? 65535
                                                         : 32767;

            if (fabs(dfNoDataValue - floor(dfNoDataValue + 0.5)) < 1e-2 &&
                dfNoDataValue >= nMinVal && dfNoDataValue <= nMaxVal)
            {
                fSrcNoDataValue = static_cast<T>(floor(dfNoDataValue + 0.5));
            }
            else
            {
                bSrcHasNoData = FALSE;
            }
        }
    }
    else
    {
        eReadDT = GDT_Float32;
        fSrcNoDataValue = static_cast<T>(dfNoDataValue);
        bIsSrcNoDataNan = bSrcHasNoData && CPLIsNan(dfNoDataValue);
    }
}

template <class T>
void GDALGeneric3x3RasterBand<T>::InitWithNoData(void *pImage)
{
    auto poGDS = cpl::down_cast<GDALGeneric3x3Dataset<T> *>(poDS);
    if (eDataType == GDT_Byte)
    {
        for (int j = 0; j < nBlockXSize; j++)
            static_cast<GByte *>(pImage)[j] =
                static_cast<GByte>(poGDS->dfDstNoDataValue);
    }
    else
    {
        for (int j = 0; j < nBlockXSize; j++)
            static_cast<float *>(pImage)[j] =
                static_cast<float>(poGDS->dfDstNoDataValue);
    }
}

template <class T>
CPLErr GDALGeneric3x3RasterBand<T>::IReadBlock(int /*nBlockXOff*/,
                                               int nBlockYOff, void *pImage)
{
    auto poGDS = cpl::down_cast<GDALGeneric3x3Dataset<T> *>(poDS);

    if (poGDS->bComputeAtEdges && nRasterXSize >= 2 && nRasterYSize >= 2)
    {
        if (nBlockYOff == 0)
        {
            for (int i = 0; i < 2; i++)
            {
                CPLErr eErr = GDALRasterIO(
                    poGDS->hSrcBand, GF_Read, 0, i, nBlockXSize, 1,
                    poGDS->apafSourceBuf[i + 1], nBlockXSize, 1, eReadDT, 0, 0);
                if (eErr != CE_None)
                {
                    InitWithNoData(pImage);
                    return eErr;
                }
            }
            poGDS->nCurLine = 0;

            for (int j = 0; j < nRasterXSize; j++)
            {
                int jmin = (j == 0) ? j : j - 1;
                int jmax = (j == nRasterXSize - 1) ? j : j + 1;

                T afWin[9] = {INTERPOL(poGDS->apafSourceBuf[1][jmin],
                                       poGDS->apafSourceBuf[2][jmin],
                                       bSrcHasNoData, fSrcNoDataValue),
                              INTERPOL(poGDS->apafSourceBuf[1][j],
                                       poGDS->apafSourceBuf[2][j],
                                       bSrcHasNoData, fSrcNoDataValue),
                              INTERPOL(poGDS->apafSourceBuf[1][jmax],
                                       poGDS->apafSourceBuf[2][jmax],
                                       bSrcHasNoData, fSrcNoDataValue),
                              poGDS->apafSourceBuf[1][jmin],
                              poGDS->apafSourceBuf[1][j],
                              poGDS->apafSourceBuf[1][jmax],
                              poGDS->apafSourceBuf[2][jmin],
                              poGDS->apafSourceBuf[2][j],
                              poGDS->apafSourceBuf[2][jmax]};

                const float fVal = ComputeVal(
                    CPL_TO_BOOL(bSrcHasNoData), fSrcNoDataValue,
                    CPL_TO_BOOL(bIsSrcNoDataNan), afWin,
                    static_cast<float>(poGDS->dfDstNoDataValue), poGDS->pfnAlg,
                    poGDS->pAlgData, poGDS->bComputeAtEdges);

                if (eDataType == GDT_Byte)
                    static_cast<GByte *>(pImage)[j] =
                        static_cast<GByte>(fVal + 0.5);
                else
                    static_cast<float *>(pImage)[j] = fVal;
            }

            return CE_None;
        }
        else if (nBlockYOff == nRasterYSize - 1)
        {
            if (poGDS->nCurLine != nRasterYSize - 2)
            {
                for (int i = 0; i < 2; i++)
                {
                    CPLErr eErr = GDALRasterIO(
                        poGDS->hSrcBand, GF_Read, 0, nRasterYSize - 2 + i,
                        nBlockXSize, 1, poGDS->apafSourceBuf[i + 1],
                        nBlockXSize, 1, eReadDT, 0, 0);
                    if (eErr != CE_None)
                    {
                        InitWithNoData(pImage);
                        return eErr;
                    }
                }
            }

            for (int j = 0; j < nRasterXSize; j++)
            {
                int jmin = (j == 0) ? j : j - 1;
                int jmax = (j == nRasterXSize - 1) ? j : j + 1;

                T afWin[9] = {poGDS->apafSourceBuf[1][jmin],
                              poGDS->apafSourceBuf[1][j],
                              poGDS->apafSourceBuf[1][jmax],
                              poGDS->apafSourceBuf[2][jmin],
                              poGDS->apafSourceBuf[2][j],
                              poGDS->apafSourceBuf[2][jmax],
                              INTERPOL(poGDS->apafSourceBuf[2][jmin],
                                       poGDS->apafSourceBuf[1][jmin],
                                       bSrcHasNoData, fSrcNoDataValue),
                              INTERPOL(poGDS->apafSourceBuf[2][j],
                                       poGDS->apafSourceBuf[1][j],
                                       bSrcHasNoData, fSrcNoDataValue),
                              INTERPOL(poGDS->apafSourceBuf[2][jmax],
                                       poGDS->apafSourceBuf[1][jmax],
                                       bSrcHasNoData, fSrcNoDataValue)};

                const float fVal = ComputeVal(
                    CPL_TO_BOOL(bSrcHasNoData), fSrcNoDataValue,
                    CPL_TO_BOOL(bIsSrcNoDataNan), afWin,
                    static_cast<float>(poGDS->dfDstNoDataValue), poGDS->pfnAlg,
                    poGDS->pAlgData, poGDS->bComputeAtEdges);

                if (eDataType == GDT_Byte)
                    static_cast<GByte *>(pImage)[j] =
                        static_cast<GByte>(fVal + 0.5);
                else
                    static_cast<float *>(pImage)[j] = fVal;
            }

            return CE_None;
        }
    }
    else if (nBlockYOff == 0 || nBlockYOff == nRasterYSize - 1)
    {
        InitWithNoData(pImage);
        return CE_None;
    }

    if (poGDS->nCurLine != nBlockYOff)
    {
        if (poGDS->nCurLine + 1 == nBlockYOff)
        {
            T *pafTmp = poGDS->apafSourceBuf[0];
            poGDS->apafSourceBuf[0] = poGDS->apafSourceBuf[1];
            poGDS->apafSourceBuf[1] = poGDS->apafSourceBuf[2];
            poGDS->apafSourceBuf[2] = pafTmp;

            CPLErr eErr = GDALRasterIO(
                poGDS->hSrcBand, GF_Read, 0, nBlockYOff + 1, nBlockXSize, 1,
                poGDS->apafSourceBuf[2], nBlockXSize, 1, eReadDT, 0, 0);

            if (eErr != CE_None)
            {
                InitWithNoData(pImage);
                return eErr;
            }
        }
        else
        {
            for (int i = 0; i < 3; i++)
            {
                const CPLErr eErr = GDALRasterIO(
                    poGDS->hSrcBand, GF_Read, 0, nBlockYOff + i - 1,
                    nBlockXSize, 1, poGDS->apafSourceBuf[i], nBlockXSize, 1,
                    eReadDT, 0, 0);
                if (eErr != CE_None)
                {
                    InitWithNoData(pImage);
                    return eErr;
                }
            }
        }

        poGDS->nCurLine = nBlockYOff;
    }

    if (poGDS->bComputeAtEdges && nRasterXSize >= 2)
    {
        int j = 0;
        T afWin[9] = {
            INTERPOL(poGDS->apafSourceBuf[0][j], poGDS->apafSourceBuf[0][j + 1],
                     bSrcHasNoData, fSrcNoDataValue),
            poGDS->apafSourceBuf[0][j],
            poGDS->apafSourceBuf[0][j + 1],
            INTERPOL(poGDS->apafSourceBuf[1][j], poGDS->apafSourceBuf[1][j + 1],
                     bSrcHasNoData, fSrcNoDataValue),
            poGDS->apafSourceBuf[1][j],
            poGDS->apafSourceBuf[1][j + 1],
            INTERPOL(poGDS->apafSourceBuf[2][j], poGDS->apafSourceBuf[2][j + 1],
                     bSrcHasNoData, fSrcNoDataValue),
            poGDS->apafSourceBuf[2][j],
            poGDS->apafSourceBuf[2][j + 1]};

        {
            const float fVal = ComputeVal(
                CPL_TO_BOOL(bSrcHasNoData), fSrcNoDataValue,
                CPL_TO_BOOL(bIsSrcNoDataNan), afWin,
                static_cast<float>(poGDS->dfDstNoDataValue), poGDS->pfnAlg,
                poGDS->pAlgData, poGDS->bComputeAtEdges);

            if (eDataType == GDT_Byte)
                static_cast<GByte *>(pImage)[j] =
                    static_cast<GByte>(fVal + 0.5);
            else
                static_cast<float *>(pImage)[j] = fVal;
        }

        j = nRasterXSize - 1;

        afWin[0] = poGDS->apafSourceBuf[0][j - 1];
        afWin[1] = poGDS->apafSourceBuf[0][j];
        afWin[2] =
            INTERPOL(poGDS->apafSourceBuf[0][j], poGDS->apafSourceBuf[0][j - 1],
                     bSrcHasNoData, fSrcNoDataValue);
        afWin[3] = poGDS->apafSourceBuf[1][j - 1];
        afWin[4] = poGDS->apafSourceBuf[1][j];
        afWin[5] =
            INTERPOL(poGDS->apafSourceBuf[1][j], poGDS->apafSourceBuf[1][j - 1],
                     bSrcHasNoData, fSrcNoDataValue);
        afWin[6] = poGDS->apafSourceBuf[2][j - 1];
        afWin[7] = poGDS->apafSourceBuf[2][j];
        afWin[8] =
            INTERPOL(poGDS->apafSourceBuf[2][j], poGDS->apafSourceBuf[2][j - 1],
                     bSrcHasNoData, fSrcNoDataValue);

        const float fVal =
            ComputeVal(CPL_TO_BOOL(bSrcHasNoData), fSrcNoDataValue,
                       CPL_TO_BOOL(bIsSrcNoDataNan), afWin,
                       static_cast<float>(poGDS->dfDstNoDataValue),
                       poGDS->pfnAlg, poGDS->pAlgData, poGDS->bComputeAtEdges);

        if (eDataType == GDT_Byte)
            static_cast<GByte *>(pImage)[j] = static_cast<GByte>(fVal + 0.5);
        else
            static_cast<float *>(pImage)[j] = fVal;
    }
    else
    {
        if (eDataType == GDT_Byte)
        {
            static_cast<GByte *>(pImage)[0] =
                static_cast<GByte>(poGDS->dfDstNoDataValue);
            if (nBlockXSize > 1)
                static_cast<GByte *>(pImage)[nBlockXSize - 1] =
                    static_cast<GByte>(poGDS->dfDstNoDataValue);
        }
        else
        {
            static_cast<float *>(pImage)[0] =
                static_cast<float>(poGDS->dfDstNoDataValue);
            if (nBlockXSize > 1)
                static_cast<float *>(pImage)[nBlockXSize - 1] =
                    static_cast<float>(poGDS->dfDstNoDataValue);
        }
    }

    for (int j = 1; j < nBlockXSize - 1; j++)
    {
        T afWin[9] = {
            poGDS->apafSourceBuf[0][j - 1], poGDS->apafSourceBuf[0][j],
            poGDS->apafSourceBuf[0][j + 1], poGDS->apafSourceBuf[1][j - 1],
            poGDS->apafSourceBuf[1][j],     poGDS->apafSourceBuf[1][j + 1],
            poGDS->apafSourceBuf[2][j - 1], poGDS->apafSourceBuf[2][j],
            poGDS->apafSourceBuf[2][j + 1]};

        const float fVal =
            ComputeVal(CPL_TO_BOOL(bSrcHasNoData), fSrcNoDataValue,
                       CPL_TO_BOOL(bIsSrcNoDataNan), afWin,
                       static_cast<float>(poGDS->dfDstNoDataValue),
                       poGDS->pfnAlg, poGDS->pAlgData, poGDS->bComputeAtEdges);

        if (eDataType == GDT_Byte)
            static_cast<GByte *>(pImage)[j] = static_cast<GByte>(fVal + 0.5);
        else
            static_cast<float *>(pImage)[j] = fVal;
    }

    return CE_None;
}

template <class T>
double GDALGeneric3x3RasterBand<T>::GetNoDataValue(int *pbHasNoData)
{
    auto poGDS = cpl::down_cast<GDALGeneric3x3Dataset<T> *>(poDS);
    if (pbHasNoData)
        *pbHasNoData = poGDS->bDstHasNoData;
    return poGDS->dfDstNoDataValue;
}

/************************************************************************/
/*                            ArgIsNumeric()                            */
/************************************************************************/

static int ArgIsNumeric(const char *pszArg)

{
    return CPLGetValueType(pszArg) != CPL_VALUE_STRING;
}

/************************************************************************/
/*                            GetAlgorithm()                            */
/************************************************************************/

typedef enum
{
    INVALID,
    HILL_SHADE,
    SLOPE,
    ASPECT,
    COLOR_RELIEF,
    TRI,
    TPI,
    ROUGHNESS
} Algorithm;

static Algorithm GetAlgorithm(const char *pszProcessing)
{
    if (EQUAL(pszProcessing, "shade") || EQUAL(pszProcessing, "hillshade"))
    {
        return HILL_SHADE;
    }
    else if (EQUAL(pszProcessing, "slope"))
    {
        return SLOPE;
    }
    else if (EQUAL(pszProcessing, "aspect"))
    {
        return ASPECT;
    }
    else if (EQUAL(pszProcessing, "color-relief"))
    {
        return COLOR_RELIEF;
    }
    else if (EQUAL(pszProcessing, "TRI"))
    {
        return TRI;
    }
    else if (EQUAL(pszProcessing, "TPI"))
    {
        return TPI;
    }
    else if (EQUAL(pszProcessing, "roughness"))
    {
        return ROUGHNESS;
    }
    else
    {
        return INVALID;
    }
}

/************************************************************************/
/*                            GDALDEMProcessing()                       */
/************************************************************************/

/**
 * Apply a DEM processing.
 *
 * This is the equivalent of the <a href="/programs/gdaldem.html">gdaldem</a>
 * utility.
 *
 * GDALDEMProcessingOptions* must be allocated and freed with
 * GDALDEMProcessingOptionsNew() and GDALDEMProcessingOptionsFree()
 * respectively.
 *
 * @param pszDest the destination dataset path.
 * @param hSrcDataset the source dataset handle.
 * @param pszProcessing the processing to apply (one of "hillshade", "slope",
 * "aspect", "color-relief", "TRI", "TPI", "Roughness")
 * @param pszColorFilename color file (mandatory for "color-relief" processing,
 * should be NULL otherwise)
 * @param psOptionsIn the options struct returned by
 * GDALDEMProcessingOptionsNew() or NULL.
 * @param pbUsageError pointer to a integer output variable to store if any
 * usage error has occurred or NULL.
 * @return the output dataset (new dataset that must be closed using
 * GDALClose()) or NULL in case of error.
 *
 * @since GDAL 2.1
 */

GDALDatasetH GDALDEMProcessing(const char *pszDest, GDALDatasetH hSrcDataset,
                               const char *pszProcessing,
                               const char *pszColorFilename,
                               const GDALDEMProcessingOptions *psOptionsIn,
                               int *pbUsageError)
{
    if (hSrcDataset == nullptr)
    {
        CPLError(CE_Failure, CPLE_AppDefined, "No source dataset specified.");

        if (pbUsageError)
            *pbUsageError = TRUE;
        return nullptr;
    }
    if (pszDest == nullptr)
    {
        CPLError(CE_Failure, CPLE_AppDefined, "No target dataset specified.");

        if (pbUsageError)
            *pbUsageError = TRUE;
        return nullptr;
    }
    if (pszProcessing == nullptr)
    {
        CPLError(CE_Failure, CPLE_AppDefined, "No target dataset specified.");

        if (pbUsageError)
            *pbUsageError = TRUE;
        return nullptr;
    }

    Algorithm eUtilityMode = GetAlgorithm(pszProcessing);
    if (eUtilityMode == INVALID)
    {
        CPLError(CE_Failure, CPLE_IllegalArg, "Invalid processing");
        if (pbUsageError)
            *pbUsageError = TRUE;
        return nullptr;
    }

    if (eUtilityMode == COLOR_RELIEF && pszColorFilename == nullptr)
    {
        CPLError(CE_Failure, CPLE_AppDefined, "pszColorFilename == NULL.");

        if (pbUsageError)
            *pbUsageError = TRUE;
        return nullptr;
    }
    else if (eUtilityMode != COLOR_RELIEF && pszColorFilename != nullptr)
    {
        CPLError(CE_Failure, CPLE_AppDefined, "pszColorFilename != NULL.");

        if (pbUsageError)
            *pbUsageError = TRUE;
        return nullptr;
    }

    if (psOptionsIn && psOptionsIn->bCombined && eUtilityMode != HILL_SHADE)
    {
        CPLError(CE_Failure, CPLE_NotSupported,
                 "-combined can only be used with hillshade");

        if (pbUsageError)
            *pbUsageError = TRUE;
        return nullptr;
    }

    if (psOptionsIn && psOptionsIn->bIgor && eUtilityMode != HILL_SHADE)
    {
        CPLError(CE_Failure, CPLE_NotSupported,
                 "-igor can only be used with hillshade");

        if (pbUsageError)
            *pbUsageError = TRUE;
        return nullptr;
    }

    if (psOptionsIn && psOptionsIn->bMultiDirectional &&
        eUtilityMode != HILL_SHADE)
    {
        CPLError(CE_Failure, CPLE_NotSupported,
                 "-multidirectional can only be used with hillshade");

        if (pbUsageError)
            *pbUsageError = TRUE;
        return nullptr;
    }

    GDALDEMProcessingOptions *psOptionsToFree = nullptr;
    const GDALDEMProcessingOptions *psOptions = psOptionsIn;
    if (!psOptions)
    {
        psOptionsToFree = GDALDEMProcessingOptionsNew(nullptr, nullptr);
        psOptions = psOptionsToFree;
    }

    if (psOptions->bGradientAlgSpecified &&
        !(eUtilityMode == HILL_SHADE || eUtilityMode == SLOPE ||
          eUtilityMode == ASPECT))
    {
        CPLError(CE_Failure, CPLE_IllegalArg,
                 "This value of -alg is only value for hillshade, slope or "
                 "aspect processing");
        GDALDEMProcessingOptionsFree(psOptionsToFree);
        return nullptr;
    }

    if (psOptions->bTRIAlgSpecified && !(eUtilityMode == TRI))
    {
        CPLError(CE_Failure, CPLE_IllegalArg,
                 "This value of -alg is only value for TRI processing");
        GDALDEMProcessingOptionsFree(psOptionsToFree);
        return nullptr;
    }

    double adfGeoTransform[6] = {0.0, 0.0, 0.0, 0.0, 0.0, 0.0};

    const int nXSize = GDALGetRasterXSize(hSrcDataset);
    const int nYSize = GDALGetRasterYSize(hSrcDataset);

    if (psOptions->nBand <= 0 ||
        psOptions->nBand > GDALGetRasterCount(hSrcDataset))
    {
        CPLError(CE_Failure, CPLE_IllegalArg, "Unable to fetch band #%d",
                 psOptions->nBand);
        GDALDEMProcessingOptionsFree(psOptionsToFree);
        return nullptr;
    }
    GDALRasterBandH hSrcBand = GDALGetRasterBand(hSrcDataset, psOptions->nBand);

    GDALGetGeoTransform(hSrcDataset, adfGeoTransform);

    CPLString osFormat;
    if (psOptions->pszFormat == nullptr)
    {
        osFormat = GetOutputDriverForRaster(pszDest);
        if (osFormat.empty())
        {
            GDALDEMProcessingOptionsFree(psOptionsToFree);
            return nullptr;
        }
    }
    else
    {
        osFormat = psOptions->pszFormat;
    }
    GDALDriverH hDriver = GDALGetDriverByName(osFormat);
    if (hDriver == nullptr ||
        (GDALGetMetadataItem(hDriver, GDAL_DCAP_CREATE, nullptr) == nullptr &&
         GDALGetMetadataItem(hDriver, GDAL_DCAP_CREATECOPY, nullptr) ==
             nullptr))
    {
        CPLError(CE_Failure, CPLE_AppDefined,
                 "Output driver `%s' not recognised to have output support.",
                 osFormat.c_str());
        fprintf(stderr, "The following format drivers are configured\n"
                        "and support output:\n");

        for (int iDr = 0; iDr < GDALGetDriverCount(); iDr++)
        {
            hDriver = GDALGetDriver(iDr);

            if (GDALGetMetadataItem(hDriver, GDAL_DCAP_RASTER, nullptr) !=
                    nullptr &&
                (GDALGetMetadataItem(hDriver, GDAL_DCAP_CREATE, nullptr) !=
                     nullptr ||
                 GDALGetMetadataItem(hDriver, GDAL_DCAP_CREATECOPY, nullptr) !=
                     nullptr))
            {
                fprintf(stderr, "  %s: %s\n", GDALGetDriverShortName(hDriver),
                        GDALGetDriverLongName(hDriver));
            }
        }
        GDALDEMProcessingOptionsFree(psOptionsToFree);
        return nullptr;
    }

    double dfDstNoDataValue = 0.0;
    bool bDstHasNoData = false;
    void *pData = nullptr;
    GDALGeneric3x3ProcessingAlg<float>::type pfnAlgFloat = nullptr;
    GDALGeneric3x3ProcessingAlg<GInt32>::type pfnAlgInt32 = nullptr;
    GDALGeneric3x3ProcessingAlg_multisample<GInt32>::type
        pfnAlgInt32_multisample = nullptr;

    if (eUtilityMode == HILL_SHADE && psOptions->bMultiDirectional)
    {
        dfDstNoDataValue = 0;
        bDstHasNoData = true;
        pData = GDALCreateHillshadeMultiDirectionalData(
            adfGeoTransform, psOptions->z, psOptions->scale, psOptions->alt,
            psOptions->eGradientAlg);
        if (psOptions->eGradientAlg == GradientAlg::ZEVENBERGEN_THORNE)
        {
            pfnAlgFloat = GDALHillshadeMultiDirectionalAlg<
                float, GradientAlg::ZEVENBERGEN_THORNE>;
            pfnAlgInt32 = GDALHillshadeMultiDirectionalAlg<
                GInt32, GradientAlg::ZEVENBERGEN_THORNE>;
        }
        else
        {
            pfnAlgFloat =
                GDALHillshadeMultiDirectionalAlg<float, GradientAlg::HORN>;
            pfnAlgInt32 =
                GDALHillshadeMultiDirectionalAlg<GInt32, GradientAlg::HORN>;
        }
    }
    else if (eUtilityMode == HILL_SHADE)
    {
        dfDstNoDataValue = 0;
        bDstHasNoData = true;
        pData = GDALCreateHillshadeData(adfGeoTransform, psOptions->z,
                                        psOptions->scale, psOptions->alt,
                                        psOptions->az, psOptions->eGradientAlg);
        if (psOptions->eGradientAlg == GradientAlg::ZEVENBERGEN_THORNE)
        {
            if (psOptions->bCombined)
            {
                pfnAlgFloat =
                    GDALHillshadeCombinedAlg<float,
                                             GradientAlg::ZEVENBERGEN_THORNE>;
                pfnAlgInt32 =
                    GDALHillshadeCombinedAlg<GInt32,
                                             GradientAlg::ZEVENBERGEN_THORNE>;
            }
            else if (psOptions->bIgor)
            {
                pfnAlgFloat =
                    GDALHillshadeIgorAlg<float,
                                         GradientAlg::ZEVENBERGEN_THORNE>;
                pfnAlgInt32 =
                    GDALHillshadeIgorAlg<GInt32,
                                         GradientAlg::ZEVENBERGEN_THORNE>;
            }
            else
            {
                pfnAlgFloat =
                    GDALHillshadeAlg<float, GradientAlg::ZEVENBERGEN_THORNE>;
                pfnAlgInt32 =
                    GDALHillshadeAlg<GInt32, GradientAlg::ZEVENBERGEN_THORNE>;
            }
        }
        else
        {
            if (psOptions->bCombined)
            {
                pfnAlgFloat =
                    GDALHillshadeCombinedAlg<float, GradientAlg::HORN>;
                pfnAlgInt32 =
                    GDALHillshadeCombinedAlg<GInt32, GradientAlg::HORN>;
            }
            else if (psOptions->bIgor)
            {
                pfnAlgFloat = GDALHillshadeIgorAlg<float, GradientAlg::HORN>;
                pfnAlgInt32 = GDALHillshadeIgorAlg<GInt32, GradientAlg::HORN>;
            }
            else
            {
                if (adfGeoTransform[1] == -adfGeoTransform[5])
                {
                    pfnAlgFloat = GDALHillshadeAlg_same_res<float>;
                    pfnAlgInt32 = GDALHillshadeAlg_same_res<GInt32>;
#ifdef HAVE_16_SSE_REG
                    pfnAlgInt32_multisample =
                        GDALHillshadeAlg_same_res_multisample<GInt32>;
#endif
                }
                else
                {
                    pfnAlgFloat = GDALHillshadeAlg<float, GradientAlg::HORN>;
                    pfnAlgInt32 = GDALHillshadeAlg<GInt32, GradientAlg::HORN>;
                }
            }
        }
    }
    else if (eUtilityMode == SLOPE)
    {
        dfDstNoDataValue = -9999;
        bDstHasNoData = true;

        pData = GDALCreateSlopeData(adfGeoTransform, psOptions->scale,
                                    psOptions->slopeFormat);
        if (psOptions->eGradientAlg == GradientAlg::ZEVENBERGEN_THORNE)
        {
            pfnAlgFloat = GDALSlopeZevenbergenThorneAlg<float>;
            pfnAlgInt32 = GDALSlopeZevenbergenThorneAlg<GInt32>;
        }
        else
        {
            pfnAlgFloat = GDALSlopeHornAlg<float>;
            pfnAlgInt32 = GDALSlopeHornAlg<GInt32>;
        }
    }

    else if (eUtilityMode == ASPECT)
    {
        if (!psOptions->bZeroForFlat)
        {
            dfDstNoDataValue = -9999;
            bDstHasNoData = true;
        }

        pData = GDALCreateAspectData(psOptions->bAngleAsAzimuth);
        if (psOptions->eGradientAlg == GradientAlg::ZEVENBERGEN_THORNE)
        {
            pfnAlgFloat = GDALAspectZevenbergenThorneAlg<float>;
            pfnAlgInt32 = GDALAspectZevenbergenThorneAlg<GInt32>;
        }
        else
        {
            pfnAlgFloat = GDALAspectAlg<float>;
            pfnAlgInt32 = GDALAspectAlg<GInt32>;
        }
    }
    else if (eUtilityMode == TRI)
    {
        dfDstNoDataValue = -9999;
        bDstHasNoData = true;
        if (psOptions->eTRIAlg == TRIAlg::WILSON)
        {
            pfnAlgFloat = GDALTRIAlgWilson<float>;
            pfnAlgInt32 = GDALTRIAlgWilson<GInt32>;
        }
        else
        {
            pfnAlgFloat = GDALTRIAlgRiley<float>;
            pfnAlgInt32 = GDALTRIAlgRiley<GInt32>;
        }
    }
    else if (eUtilityMode == TPI)
    {
        dfDstNoDataValue = -9999;
        bDstHasNoData = true;
        pfnAlgFloat = GDALTPIAlg<float>;
        pfnAlgInt32 = GDALTPIAlg<GInt32>;
    }
    else if (eUtilityMode == ROUGHNESS)
    {
        dfDstNoDataValue = -9999;
        bDstHasNoData = true;
        pfnAlgFloat = GDALRoughnessAlg<float>;
        pfnAlgInt32 = GDALRoughnessAlg<GInt32>;
    }

    const GDALDataType eDstDataType =
        (eUtilityMode == HILL_SHADE || eUtilityMode == COLOR_RELIEF)
            ? GDT_Byte
            : GDT_Float32;

    if (EQUAL(osFormat, "VRT"))
    {
        if (eUtilityMode == COLOR_RELIEF)
        {
            GDALGenerateVRTColorRelief(
                pszDest, hSrcDataset, hSrcBand, pszColorFilename,
                psOptions->eColorSelectionMode, psOptions->bAddAlpha);

            CPLFree(pData);

            GDALDEMProcessingOptionsFree(psOptionsToFree);
            return GDALOpen(pszDest, GA_Update);
        }
        else
        {
            CPLError(CE_Failure, CPLE_NotSupported,
                     "VRT driver can only be used with color-relief utility.");
            GDALDEMProcessingOptionsFree(psOptionsToFree);
            CPLFree(pData);
            return nullptr;
        }
    }

    // We might actually want to always go through the intermediate dataset
    bool bForceUseIntermediateDataset = false;

    GDALProgressFunc pfnProgress = psOptions->pfnProgress;
    void *pProgressData = psOptions->pProgressData;

    if (EQUAL(osFormat, "GTiff"))
    {
        if (!EQUAL(CSLFetchNameValueDef(psOptions->papszCreateOptions,
                                        "COMPRESS", "NONE"),
                   "NONE") &&
            CPLTestBool(CSLFetchNameValueDef(psOptions->papszCreateOptions,
                                             "TILED", "NO")))
        {
            bForceUseIntermediateDataset = true;
        }
        else if (strcmp(pszDest, "/vsistdout/") == 0)
        {
            bForceUseIntermediateDataset = true;
            pfnProgress = GDALDummyProgress;
            pProgressData = nullptr;
        }
#ifdef S_ISFIFO
        else
        {
            VSIStatBufL sStat;
            if (VSIStatExL(pszDest, &sStat,
                           VSI_STAT_EXISTS_FLAG | VSI_STAT_NATURE_FLAG) == 0 &&
                S_ISFIFO(sStat.st_mode))
            {
                bForceUseIntermediateDataset = true;
            }
        }
#endif
    }

    const GDALDataType eSrcDT = GDALGetRasterDataType(hSrcBand);

    if (GDALGetMetadataItem(hDriver, GDAL_DCAP_RASTER, nullptr) != nullptr &&
        ((bForceUseIntermediateDataset ||
          GDALGetMetadataItem(hDriver, GDAL_DCAP_CREATE, nullptr) == nullptr) &&
         GDALGetMetadataItem(hDriver, GDAL_DCAP_CREATECOPY, nullptr) !=
             nullptr))
    {
        GDALDatasetH hIntermediateDataset = nullptr;

        if (eUtilityMode == COLOR_RELIEF)
        {
            GDALColorReliefDataset *poDS = new GDALColorReliefDataset(
                hSrcDataset, hSrcBand, pszColorFilename,
                psOptions->eColorSelectionMode, psOptions->bAddAlpha);
            if (!(poDS->InitOK()))
            {
                delete poDS;
                CPLFree(pData);
                GDALDEMProcessingOptionsFree(psOptionsToFree);
                return nullptr;
            }
            hIntermediateDataset = static_cast<GDALDatasetH>(poDS);
        }
        else
        {
            if (eSrcDT == GDT_Byte || eSrcDT == GDT_Int16 ||
                eSrcDT == GDT_UInt16)
            {
                GDALGeneric3x3Dataset<GInt32> *poDS =
                    new GDALGeneric3x3Dataset<GInt32>(
                        hSrcDataset, hSrcBand, eDstDataType, bDstHasNoData,
                        dfDstNoDataValue, pfnAlgInt32, pData,
                        psOptions->bComputeAtEdges);

                if (!(poDS->InitOK()))
                {
                    delete poDS;
                    CPLFree(pData);
                    GDALDEMProcessingOptionsFree(psOptionsToFree);
                    return nullptr;
                }
                hIntermediateDataset = static_cast<GDALDatasetH>(poDS);
            }
            else
            {
                GDALGeneric3x3Dataset<float> *poDS =
                    new GDALGeneric3x3Dataset<float>(
                        hSrcDataset, hSrcBand, eDstDataType, bDstHasNoData,
                        dfDstNoDataValue, pfnAlgFloat, pData,
                        psOptions->bComputeAtEdges);

                if (!(poDS->InitOK()))
                {
                    delete poDS;
                    CPLFree(pData);
                    GDALDEMProcessingOptionsFree(psOptionsToFree);
                    return nullptr;
                }
                hIntermediateDataset = static_cast<GDALDatasetH>(poDS);
            }
        }

        GDALDatasetH hOutDS = GDALCreateCopy(
            hDriver, pszDest, hIntermediateDataset, TRUE,
            psOptions->papszCreateOptions, pfnProgress, pProgressData);

        GDALClose(hIntermediateDataset);

        CPLFree(pData);

        GDALDEMProcessingOptionsFree(psOptionsToFree);
        return hOutDS;
    }

    const int nDstBands =
        eUtilityMode == COLOR_RELIEF ? ((psOptions->bAddAlpha) ? 4 : 3) : 1;

    GDALDatasetH hDstDataset =
        GDALCreate(hDriver, pszDest, nXSize, nYSize, nDstBands, eDstDataType,
                   psOptions->papszCreateOptions);

    if (hDstDataset == nullptr)
    {
        CPLError(CE_Failure, CPLE_AppDefined, "Unable to create dataset %s",
                 pszDest);
        GDALDEMProcessingOptionsFree(psOptionsToFree);
        CPLFree(pData);
        return nullptr;
    }

    GDALRasterBandH hDstBand = GDALGetRasterBand(hDstDataset, 1);

    GDALSetGeoTransform(hDstDataset, adfGeoTransform);
    GDALSetProjection(hDstDataset, GDALGetProjectionRef(hSrcDataset));

    if (eUtilityMode == COLOR_RELIEF)
    {
        GDALColorRelief(hSrcBand, GDALGetRasterBand(hDstDataset, 1),
                        GDALGetRasterBand(hDstDataset, 2),
                        GDALGetRasterBand(hDstDataset, 3),
                        psOptions->bAddAlpha ? GDALGetRasterBand(hDstDataset, 4)
                                             : nullptr,
                        pszColorFilename, psOptions->eColorSelectionMode,
                        pfnProgress, pProgressData);
    }
    else
    {
        if (bDstHasNoData)
            GDALSetRasterNoDataValue(hDstBand, dfDstNoDataValue);

        if (eSrcDT == GDT_Byte || eSrcDT == GDT_Int16 || eSrcDT == GDT_UInt16)
        {
            GDALGeneric3x3Processing<GInt32>(
                hSrcBand, hDstBand, pfnAlgInt32, pfnAlgInt32_multisample, pData,
                psOptions->bComputeAtEdges, pfnProgress, pProgressData);
        }
        else
        {
            GDALGeneric3x3Processing<float>(
                hSrcBand, hDstBand, pfnAlgFloat, nullptr, pData,
                psOptions->bComputeAtEdges, pfnProgress, pProgressData);
        }
    }

    CPLFree(pData);

    GDALDEMProcessingOptionsFree(psOptionsToFree);
    return hDstDataset;
}

/************************************************************************/
/*                           GDALDEMProcessingOptionsNew()              */
/************************************************************************/

/**
 * Allocates a GDALDEMProcessingOptions struct.
 *
 * @param papszArgv NULL terminated list of options (potentially including
 * filename and open options too), or NULL. The accepted options are the ones of
 * the <a href="/programs/gdaldem.html">gdaldem</a> utility.
 * @param psOptionsForBinary (output) may be NULL (and should generally be
 * NULL), otherwise (gdal_translate_bin.cpp use case) must be allocated with
 *                           GDALDEMProcessingOptionsForBinaryNew() prior to
 * this function. Will be filled with potentially present filename, open
 * options,...
 * @return pointer to the allocated GDALDEMProcessingOptions struct. Must be
 * freed with GDALDEMProcessingOptionsFree().
 *
 * @since GDAL 2.1
 */

GDALDEMProcessingOptions *GDALDEMProcessingOptionsNew(
    char **papszArgv, GDALDEMProcessingOptionsForBinary *psOptionsForBinary)
{
    GDALDEMProcessingOptions *psOptions = new GDALDEMProcessingOptions;
    Algorithm eUtilityMode = INVALID;
    bool bAzimuthSpecified = false;
    bool bAltSpecified = false;

    /* -------------------------------------------------------------------- */
    /*      Handle command line arguments.                                  */
    /* -------------------------------------------------------------------- */
    int argc = CSLCount(papszArgv);
    for (int i = 0; papszArgv != nullptr && i < argc; i++)
    {
        if (i == 0 && psOptionsForBinary)
        {
            eUtilityMode = GetAlgorithm(papszArgv[0]);
            if (eUtilityMode == INVALID)
            {
                CPLError(CE_Failure, CPLE_IllegalArg, "Invalid utility mode");
                GDALDEMProcessingOptionsFree(psOptions);
                return nullptr;
            }
            psOptionsForBinary->pszProcessing = CPLStrdup(papszArgv[0]);
            continue;
        }

        if (i < argc - 1 &&
            (EQUAL(papszArgv[i], "-of") || EQUAL(papszArgv[i], "-f")))
        {
            ++i;
            CPLFree(psOptions->pszFormat);
            psOptions->pszFormat = CPLStrdup(papszArgv[i]);
        }

        else if (EQUAL(papszArgv[i], "-q") || EQUAL(papszArgv[i], "-quiet"))
        {
            if (psOptionsForBinary)
                psOptionsForBinary->bQuiet = TRUE;
        }

        else if ((EQUAL(papszArgv[i], "--z") || EQUAL(papszArgv[i], "-z")) &&
                 i + 1 < argc)
        {
            ++i;
            if (!ArgIsNumeric(papszArgv[i]))
            {
                CPLError(CE_Failure, CPLE_IllegalArg,
                         "Numeric value expected for -z");
                GDALDEMProcessingOptionsFree(psOptions);
                return nullptr;
            }
            psOptions->z = CPLAtof(papszArgv[i]);
        }
        else if (EQUAL(papszArgv[i], "-p"))
        {
            psOptions->slopeFormat = 0;
        }
        else if (EQUAL(papszArgv[i], "-alg") && i + 1 < argc)
        {
            i++;
            if (EQUAL(papszArgv[i], "ZevenbergenThorne"))
            {
                psOptions->bGradientAlgSpecified = true;
                psOptions->eGradientAlg = GradientAlg::ZEVENBERGEN_THORNE;
            }
            else if (EQUAL(papszArgv[i], "Horn"))
            {
                psOptions->bGradientAlgSpecified = true;
                psOptions->eGradientAlg = GradientAlg::HORN;
            }
            else if (EQUAL(papszArgv[i], "Riley"))
            {
                psOptions->bTRIAlgSpecified = true;
                psOptions->eTRIAlg = TRIAlg::RILEY;
            }
            else if (EQUAL(papszArgv[i], "Wilson"))
            {
                psOptions->bTRIAlgSpecified = true;
                psOptions->eTRIAlg = TRIAlg::WILSON;
            }
            else
            {
                CPLError(CE_Failure, CPLE_IllegalArg,
                         "Invalid value for -alg: %s", papszArgv[i - 1]);
                GDALDEMProcessingOptionsFree(psOptions);
                return nullptr;
            }
        }
        else if (EQUAL(papszArgv[i], "-trigonometric"))
        {
            psOptions->bAngleAsAzimuth = false;
        }
        else if (EQUAL(papszArgv[i], "-zero_for_flat"))
        {
            psOptions->bZeroForFlat = true;
        }
        else if (EQUAL(papszArgv[i], "-exact_color_entry"))
        {
            psOptions->eColorSelectionMode = COLOR_SELECTION_EXACT_ENTRY;
        }
        else if (EQUAL(papszArgv[i], "-nearest_color_entry"))
        {
            psOptions->eColorSelectionMode = COLOR_SELECTION_NEAREST_ENTRY;
        }
        else if ((EQUAL(papszArgv[i], "--s") || EQUAL(papszArgv[i], "-s") ||
                  EQUAL(papszArgv[i], "--scale") ||
                  EQUAL(papszArgv[i], "-scale")) &&
                 i + 1 < argc)
        {
            ++i;
            if (!ArgIsNumeric(papszArgv[i]))
            {
                CPLError(CE_Failure, CPLE_IllegalArg,
                         "Numeric value expected for %s", papszArgv[i - 1]);
                GDALDEMProcessingOptionsFree(psOptions);
                return nullptr;
            }
            psOptions->scale = CPLAtof(papszArgv[i]);
        }
        else if ((EQUAL(papszArgv[i], "--az") || EQUAL(papszArgv[i], "-az") ||
                  EQUAL(papszArgv[i], "--azimuth") ||
                  EQUAL(papszArgv[i], "-azimuth")) &&
                 i + 1 < argc)
        {
            ++i;
            if (!ArgIsNumeric(papszArgv[i]))
            {
                CPLError(CE_Failure, CPLE_IllegalArg,
                         "Numeric value expected for %s", papszArgv[i - 1]);
                GDALDEMProcessingOptionsFree(psOptions);
                return nullptr;
            }
            bAzimuthSpecified = true;
            psOptions->az = CPLAtof(papszArgv[i]);
        }
        else if ((EQUAL(papszArgv[i], "--alt") || EQUAL(papszArgv[i], "-alt") ||
                  EQUAL(papszArgv[i], "--altitude") ||
                  EQUAL(papszArgv[i], "-altitude")) &&
                 i + 1 < argc)
        {
            ++i;
            if (!ArgIsNumeric(papszArgv[i]))
            {
                CPLError(CE_Failure, CPLE_IllegalArg,
                         "Numeric value expected for %s", papszArgv[i - 1]);
                GDALDEMProcessingOptionsFree(psOptions);
                return nullptr;
            }
            bAltSpecified = true;
            psOptions->alt = CPLAtof(papszArgv[i]);
        }
        else if ((EQUAL(papszArgv[i], "-combined") ||
                  EQUAL(papszArgv[i], "--combined")))
        {
            psOptions->bCombined = true;
        }
        else if ((EQUAL(papszArgv[i], "-igor") ||
                  EQUAL(papszArgv[i], "--igor")))
        {
            psOptions->bIgor = true;
        }
        else if (EQUAL(papszArgv[i], "-multidirectional") ||
                 EQUAL(papszArgv[i], "--multidirectional"))
        {
            psOptions->bMultiDirectional = true;
        }
        else if (EQUAL(papszArgv[i], "-alpha"))
        {
            psOptions->bAddAlpha = true;
        }
        else if (EQUAL(papszArgv[i], "-compute_edges"))
        {
            psOptions->bComputeAtEdges = true;
        }
        else if (i + 1 < argc &&
                 (EQUAL(papszArgv[i], "--b") || EQUAL(papszArgv[i], "-b")))
        {
            psOptions->nBand = atoi(papszArgv[++i]);
        }
        else if (EQUAL(papszArgv[i], "-co") && i + 1 < argc)
        {
            psOptions->papszCreateOptions =
                CSLAddString(psOptions->papszCreateOptions, papszArgv[++i]);
        }
        else if (papszArgv[i][0] == '-')
        {
            CPLError(CE_Failure, CPLE_NotSupported, "Unknown option name '%s'",
                     papszArgv[i]);
            GDALDEMProcessingOptionsFree(psOptions);
            return nullptr;
        }
        else if (psOptionsForBinary &&
                 psOptionsForBinary->pszSrcFilename == nullptr)
        {
            psOptionsForBinary->pszSrcFilename = CPLStrdup(papszArgv[i]);
        }
        else if (psOptionsForBinary && eUtilityMode == COLOR_RELIEF &&
                 psOptionsForBinary->pszColorFilename == nullptr)
        {
            psOptionsForBinary->pszColorFilename = CPLStrdup(papszArgv[i]);
        }
        else if (psOptionsForBinary &&
                 psOptionsForBinary->pszDstFilename == nullptr)
        {
            psOptionsForBinary->pszDstFilename = CPLStrdup(papszArgv[i]);
        }
        else
        {
            CPLError(CE_Failure, CPLE_NotSupported,
                     "Too many command options '%s'", papszArgv[i]);
            GDALDEMProcessingOptionsFree(psOptions);
            return nullptr;
        }
    }

    if (psOptions->bMultiDirectional + psOptions->bCombined + psOptions->bIgor >
        1)
    {
        CPLError(
            CE_Failure, CPLE_NotSupported,
            "only one of -multidirectional, -combined or -igor can be used");
        GDALDEMProcessingOptionsFree(psOptions);
        return nullptr;
    }

    if (psOptions->bMultiDirectional && bAzimuthSpecified)
    {
        CPLError(CE_Failure, CPLE_NotSupported,
                 "-multidirectional and -az cannot be used together");
        GDALDEMProcessingOptionsFree(psOptions);
        return nullptr;
    }

    if (psOptions->bIgor && bAltSpecified)
    {
        CPLError(CE_Failure, CPLE_NotSupported,
                 "-igor and -alt cannot be used together");
        GDALDEMProcessingOptionsFree(psOptions);
        return nullptr;
    }

    return psOptions;
}

/************************************************************************/
/*                       GDALDEMProcessingOptionsFree()                 */
/************************************************************************/

/**
 * Frees the GDALDEMProcessingOptions struct.
 *
 * @param psOptions the options struct for GDALDEMProcessing().
 *
 * @since GDAL 2.1
 */

void GDALDEMProcessingOptionsFree(GDALDEMProcessingOptions *psOptions)
{
    if (psOptions)
    {
        CPLFree(psOptions->pszFormat);
        CSLDestroy(psOptions->papszCreateOptions);

        delete psOptions;
    }
}

/************************************************************************/
/*                 GDALDEMProcessingOptionsSetProgress()                */
/************************************************************************/

/**
 * Set a progress function.
 *
 * @param psOptions the options struct for GDALDEMProcessing().
 * @param pfnProgress the progress callback.
 * @param pProgressData the user data for the progress callback.
 *
 * @since GDAL 2.1
 */

void GDALDEMProcessingOptionsSetProgress(GDALDEMProcessingOptions *psOptions,
                                         GDALProgressFunc pfnProgress,
                                         void *pProgressData)
{
    psOptions->pfnProgress = pfnProgress;
    psOptions->pProgressData = pProgressData;
}
