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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1 +1 @@ | ||
| 3.7.3 | ||
| 3.8.0 |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,117 @@ | ||
| /****************************************************************************** | ||
| * | ||
| * Project: GDAL | ||
| * Purpose: Generic method to compute inverse coordinate transformation from | ||
| * forward method | ||
| * Author: Even Rouault <even dot rouault at spatialys dot com> | ||
| * | ||
| ****************************************************************************** | ||
| * Copyright (c) 2023, Even Rouault <even dot rouault at spatialys dot com> | ||
| * | ||
| * Permission is hereby granted, free of charge, to any person obtaining a | ||
| * copy of this software and associated documentation files (the "Software"), | ||
| * to deal in the Software without restriction, including without limitation | ||
| * the rights to use, copy, modify, merge, publish, distribute, sublicense, | ||
| * and/or sell copies of the Software, and to permit persons to whom the | ||
| * Software is furnished to do so, subject to the following conditions: | ||
| * | ||
| * The above copyright notice and this permission notice shall be included | ||
| * in all copies or substantial portions of the Software. | ||
| * | ||
| * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS | ||
| * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
| * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL | ||
| * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
| * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING | ||
| * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER | ||
| * DEALINGS IN THE SOFTWARE. | ||
| ****************************************************************************/ | ||
|
|
||
| #include <algorithm> | ||
| #include <cmath> | ||
|
|
||
| #include "gdalgenericinverse.h" | ||
| #include <cstdio> | ||
|
|
||
| /** Compute (xOut, yOut) corresponding to input (xIn, yIn) using | ||
| * the provided forward transformation to emulate the reverse direction. | ||
| * | ||
| * Uses Newton-Raphson method, extended to 2D variables, that is using | ||
| * inversion of the Jacobian 2D matrix of partial derivatives. The derivatives | ||
| * are estimated numerically from the forward method evaluated at close points. | ||
| * | ||
| * Starts with initial guess provided by user in (guessedXOut, guessedYOut) | ||
| * | ||
| * It iterates at most for 15 iterations or as soon as we get below the specified | ||
| * tolerance (on input coordinates) | ||
| */ | ||
| bool GDALGenericInverse2D(double xIn, double yIn, double guessedXOut, | ||
| double guessedYOut, | ||
| GDALForwardCoordTransformer pfnForwardTranformer, | ||
| void *pfnForwardTranformerUserData, double &xOut, | ||
| double &yOut, double toleranceOnInputCoordinates) | ||
| { | ||
| const double dfAbsValOut = std::max(fabs(guessedXOut), fabs(guessedYOut)); | ||
| const double dfEps = dfAbsValOut > 0 ? dfAbsValOut * 1e-6 : 1e-6; | ||
| if (toleranceOnInputCoordinates == 0) | ||
| { | ||
| const double dfAbsValIn = std::max(fabs(xIn), fabs(yIn)); | ||
| toleranceOnInputCoordinates = | ||
| dfAbsValIn > 0 ? dfAbsValIn * 1e-12 : 1e-12; | ||
| } | ||
| xOut = guessedXOut; | ||
| yOut = guessedYOut; | ||
| double deriv_lam_X = 0; | ||
| double deriv_lam_Y = 0; | ||
| double deriv_phi_X = 0; | ||
| double deriv_phi_Y = 0; | ||
| for (int i = 0; i < 15; i++) | ||
| { | ||
| double xApprox; | ||
| double yApprox; | ||
| if (!pfnForwardTranformer(xOut, yOut, xApprox, yApprox, | ||
| pfnForwardTranformerUserData)) | ||
| return false; | ||
| const double deltaX = xApprox - xIn; | ||
| const double deltaY = yApprox - yIn; | ||
| if (fabs(deltaX) < toleranceOnInputCoordinates && | ||
| fabs(deltaY) < toleranceOnInputCoordinates) | ||
| { | ||
| return true; | ||
| } | ||
|
|
||
| // Compute Jacobian matrix | ||
| double xTmp = xOut + dfEps; | ||
| double yTmp = yOut; | ||
| double xTmpOut; | ||
| double yTmpOut; | ||
| if (!pfnForwardTranformer(xTmp, yTmp, xTmpOut, yTmpOut, | ||
| pfnForwardTranformerUserData)) | ||
| return false; | ||
| const double deriv_X_lam = (xTmpOut - xApprox) / dfEps; | ||
| const double deriv_Y_lam = (yTmpOut - yApprox) / dfEps; | ||
|
|
||
| xTmp = xOut; | ||
| yTmp = yOut + dfEps; | ||
| if (!pfnForwardTranformer(xTmp, yTmp, xTmpOut, yTmpOut, | ||
| pfnForwardTranformerUserData)) | ||
| return false; | ||
| const double deriv_X_phi = (xTmpOut - xApprox) / dfEps; | ||
| const double deriv_Y_phi = (yTmpOut - yApprox) / dfEps; | ||
|
|
||
| // Inverse of Jacobian matrix | ||
| const double det = | ||
| deriv_X_lam * deriv_Y_phi - deriv_X_phi * deriv_Y_lam; | ||
| if (det != 0) | ||
| { | ||
| deriv_lam_X = deriv_Y_phi / det; | ||
| deriv_lam_Y = -deriv_X_phi / det; | ||
| deriv_phi_X = -deriv_Y_lam / det; | ||
| deriv_phi_Y = deriv_X_lam / det; | ||
| } | ||
|
|
||
| xOut -= deltaX * deriv_lam_X + deltaY * deriv_lam_Y; | ||
| yOut -= deltaX * deriv_phi_X + deltaY * deriv_phi_Y; | ||
| } | ||
| return false; | ||
| } |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,44 @@ | ||
| /****************************************************************************** | ||
| * | ||
| * Project: GDAL | ||
| * Purpose: Generic method to compute inverse coordinate transformation from | ||
| * forward method | ||
| * Author: Even Rouault <even dot rouault at spatialys dot com> | ||
| * | ||
| ****************************************************************************** | ||
| * Copyright (c) 2023, Even Rouault <even dot rouault at spatialys dot com> | ||
| * | ||
| * 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. | ||
| ****************************************************************************/ | ||
|
|
||
| #ifndef GDALGENERICINVERSE_H | ||
| #define GDALGENERICINVERSE_H | ||
| #include <stdbool.h> | ||
|
|
||
| typedef bool (*GDALForwardCoordTransformer)(double xIn, double yIn, | ||
| double &xOut, double &yOt, | ||
| void *pUserData); | ||
|
|
||
| bool GDALGenericInverse2D(double xIn, double yIn, double guessedXOut, | ||
| double guessedYOut, | ||
| GDALForwardCoordTransformer pfnForwardTranformer, | ||
| void *pfnForwardTranformerUserData, double &xOut, | ||
| double &yOut, double toleranceOnInputCoordinates = 0); | ||
|
|
||
| #endif // GDALGENERICINVERSE_H |
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