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/****************************************************************************** * * Name: gdal_geotransform.h * Project: GDAL Core * Purpose: Declaration of GDALGeoTransform class * Author: Even Rouault, * ****************************************************************************** * Copyright (c) 2025, Even Rouault, * * SPDX-License-Identifier: MIT ****************************************************************************/ #ifndef GDALGEOTRANSFORM_H_INCLUDED #define GDALGEOTRANSFORM_H_INCLUDED #include "gdal.h" #include class GDALRasterWindow; /* ******************************************************************** */ /* GDALGeoTransform */ /* ******************************************************************** */ /** Class that encapsulates a geotransform matrix. * * It contains 6 coefficients expressing an affine transformation from * (column, line) raster space to (X, Y) georeferenced space, such that * * \code{.c} * X = xorig + column * xscale + line * xrot; * Y = yorig + column * yrot + line * yscale; * \endcode * * The default value is the identity transformation. * * @since 3.12 */ class CPL_DLL GDALGeoTransform { public: // NOTE to GDAL developers: do not reorder those coefficients! /** X value of the origin of the raster */ double xorig = 0; /** X scale factor */ double xscale = 1; /** X rotation factor */ double xrot = 0; /** Y value of the origin of the raster */ double yorig = 0; /** Y rotation factor */ double yrot = 0; /** Y scale factor */ double yscale = 1; /** Default constructor for an identity geotransformation matrix. */ inline GDALGeoTransform() = default; /** Constructor from a array of 6 double */ inline explicit GDALGeoTransform(const double coeffs[6]) { static_assert(sizeof(GDALGeoTransform) == 6 * sizeof(double), "Wrong size for GDALGeoTransform"); xorig = coeffs[0]; xscale = coeffs[1]; xrot = coeffs[2]; yorig = coeffs[3]; yrot = coeffs[4]; yscale = coeffs[5]; } /** Constructor from 6 double values */ inline GDALGeoTransform(double xorigIn, double xscaleIn, double xrotIn, double yorigIn, double yrotIn, double yscaleIn) { xorig = xorigIn; xscale = xscaleIn; xrot = xrotIn; yorig = yorigIn; yrot = yrotIn; yscale = yscaleIn; } /** Element accessor. idx must be in [0,5] range */ template inline double operator[](T idx) const { return *(&xorig + idx); } /** Element accessor. idx must be in [0,5] range */ template inline double &operator[](T idx) { return *(&xorig + idx); } /** Equality test operator */ inline bool operator==(const GDALGeoTransform &other) const { return xorig == other.xorig && xscale == other.xscale && xrot == other.xrot && yorig == other.yorig && yrot == other.yrot && yscale == other.yscale; } /** Inequality test operator */ inline bool operator!=(const GDALGeoTransform &other) const { return !(operator==(other)); } /** Cast to const double* */ inline const double *data() const { return &xorig; } /** Cast to double* */ inline double *data() { return &xorig; } /** * Apply GeoTransform to x/y coordinate. * * Applies the following computation, converting a (pixel, line) coordinate * into a georeferenced (geo_x, geo_y) location. * \code{.c} * *pdfGeoX = padfGeoTransform[0] + dfPixel * padfGeoTransform[1] * + dfLine * padfGeoTransform[2]; * *pdfGeoY = padfGeoTransform[3] + dfPixel * padfGeoTransform[4] * + dfLine * padfGeoTransform[5]; * \endcode * * @param dfPixel Input pixel position. * @param dfLine Input line position. * @param pdfGeoX output location where geo_x (easting/longitude) * location is placed. * @param pdfGeoY output location where geo_y (northing/latitude) * location is placed. */ inline void Apply(double dfPixel, double dfLine, double *pdfGeoX, double *pdfGeoY) const { GDALApplyGeoTransform(data(), dfPixel, dfLine, pdfGeoX, pdfGeoY); } /** Apply a (inverse) geotransform to an OGREnvelope in georeferenced coordinates. * * @param env An envelope in georeferenced coordinates * @param[out] window A window in pixel/line coordinates * @return true if the geotransform was successfully applied */ bool Apply(const OGREnvelope &env, GDALRasterWindow &window) const; /** Apply a geotransform to a GDALRasterWindow in pixel/line coordinates. * * @param window A window in pixel/line coordinates * @param[out] env An envelope in georeferenced coordinates * @return true if the geotransform was successfully applied */ bool Apply(const GDALRasterWindow &window, OGREnvelope &env) const; /** * Apply GeoTransform to x/y coordinate. * * Applies the following computation, converting a (pixel, line) coordinate * into a georeferenced (geo_x, geo_y) location. * \code{.c} * out.first = padfGeoTransform[0] + dfPixel * padfGeoTransform[1] * + dfLine * padfGeoTransform[2]; * out.second = padfGeoTransform[3] + dfPixel * padfGeoTransform[4] * + dfLine * padfGeoTransform[5]; * \endcode * * @param dfPixel Input pixel position. * @param dfLine Input line position. * @return output location as a (geo_x, geo_y) pair */ inline std::pair Apply(double dfPixel, double dfLine) const { double dfOutX, dfOutY; GDALApplyGeoTransform(data(), dfPixel, dfLine, &dfOutX, &dfOutY); return {dfOutX, dfOutY}; } /** * Invert Geotransform. * * This function will invert a standard 3x2 set of GeoTransform coefficients. * This converts the equation from being pixel to geo to being geo to pixel. * * @param[out] inverse Output geotransform * * @return true on success or false if the equation is uninvertable. */ inline bool GetInverse(GDALGeoTransform &inverse) const { return GDALInvGeoTransform(data(), inverse.data()) == TRUE; } /** Rescale a geotransform by multiplying its scale and rotation terms by * the provided ratios. * * This is typically used to compute the geotransform matrix of an overview * dataset from the full resolution dataset, where the ratios are the size * of the full resolution dataset divided by the size of the overview. */ inline void Rescale(double dfXRatio, double dfYRatio) { xscale *= dfXRatio; xrot *= dfYRatio; yrot *= dfXRatio; yscale *= dfYRatio; } /** Check whether the geotransform has a rotation component. */ inline bool IsAxisAligned() const { return xrot == 0 && yrot == 0; } }; #endif