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+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed
+ * with this work for additional information regarding copyright
+ * ownership. The ASF licenses this file to you under the Apache
+ * License, Version 2.0 (the "License"); you may not use this file
+ * except in compliance with the License. You may obtain a copy of
+ * the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+
+#include <basegfx/matrix/b2dhommatrixtools.hxx>
+#include <basegfx/range/b2drange.hxx>
+
+#include <osl/diagnose.h>
+
+namespace basegfx::utils
+{
+ void createSinCosOrthogonal(double& o_rSin, double& o_rCos, double fRadiant)
+ {
+ if( fTools::equalZero( fmod( fRadiant, M_PI_2 ) ) )
+ {
+ // determine quadrant
+ const sal_Int32 nQuad(
+ (4 + fround( M_2_PI*fmod( fRadiant, 2 * M_PI ) )) % 4 );
+ switch( nQuad )
+ {
+ case 0: // -2pi,0,2pi
+ o_rSin = 0.0;
+ o_rCos = 1.0;
+ break;
+
+ case 1: // -3/2pi,1/2pi
+ o_rSin = 1.0;
+ o_rCos = 0.0;
+ break;
+
+ case 2: // -pi,pi
+ o_rSin = 0.0;
+ o_rCos = -1.0;
+ break;
+
+ case 3: // -1/2pi,3/2pi
+ o_rSin = -1.0;
+ o_rCos = 0.0;
+ break;
+
+ default:
+ OSL_FAIL( "createSinCos: Impossible case reached" );
+ }
+ }
+ else
+ {
+ // TODO(P1): Maybe use glibc's sincos here (though
+ // that's kinda non-portable...)
+ o_rSin = sin(fRadiant);
+ o_rCos = cos(fRadiant);
+ }
+ }
+
+ B2DHomMatrix createScaleB2DHomMatrix(double fScaleX, double fScaleY)
+ {
+ B2DHomMatrix aRetval;
+ const double fOne(1.0);
+
+ if(!fTools::equal(fScaleX, fOne))
+ {
+ aRetval.set(0, 0, fScaleX);
+ }
+
+ if(!fTools::equal(fScaleY, fOne))
+ {
+ aRetval.set(1, 1, fScaleY);
+ }
+
+ return aRetval;
+ }
+
+ B2DHomMatrix createShearXB2DHomMatrix(double fShearX)
+ {
+ B2DHomMatrix aRetval;
+
+ if(!fTools::equalZero(fShearX))
+ {
+ aRetval.set(0, 1, fShearX);
+ }
+
+ return aRetval;
+ }
+
+ B2DHomMatrix createShearYB2DHomMatrix(double fShearY)
+ {
+ B2DHomMatrix aRetval;
+
+ if(!fTools::equalZero(fShearY))
+ {
+ aRetval.set(1, 0, fShearY);
+ }
+
+ return aRetval;
+ }
+
+ B2DHomMatrix createRotateB2DHomMatrix(double fRadiant)
+ {
+ B2DHomMatrix aRetval;
+
+ if(!fTools::equalZero(fRadiant))
+ {
+ double fSin(0.0);
+ double fCos(1.0);
+
+ createSinCosOrthogonal(fSin, fCos, fRadiant);
+ aRetval.set(0, 0, fCos);
+ aRetval.set(1, 1, fCos);
+ aRetval.set(1, 0, fSin);
+ aRetval.set(0, 1, -fSin);
+ }
+
+ return aRetval;
+ }
+
+ B2DHomMatrix createTranslateB2DHomMatrix(double fTranslateX, double fTranslateY)
+ {
+ B2DHomMatrix aRetval;
+
+ if(!(fTools::equalZero(fTranslateX) && fTools::equalZero(fTranslateY)))
+ {
+ aRetval.set(0, 2, fTranslateX);
+ aRetval.set(1, 2, fTranslateY);
+ }
+
+ return aRetval;
+ }
+
+ B2DHomMatrix createScaleShearXRotateTranslateB2DHomMatrix(
+ double fScaleX, double fScaleY,
+ double fShearX,
+ double fRadiant,
+ double fTranslateX, double fTranslateY)
+ {
+ const double fOne(1.0);
+
+ if(fTools::equal(fScaleX, fOne) && fTools::equal(fScaleY, fOne))
+ {
+ /// no scale, take shortcut
+ return createShearXRotateTranslateB2DHomMatrix(fShearX, fRadiant, fTranslateX, fTranslateY);
+ }
+ else
+ {
+ /// scale used
+ if(fTools::equalZero(fShearX))
+ {
+ /// no shear
+ if(fTools::equalZero(fRadiant))
+ {
+ /// no rotate, take shortcut
+ return createScaleTranslateB2DHomMatrix(fScaleX, fScaleY, fTranslateX, fTranslateY);
+ }
+ else
+ {
+ /// rotate and scale used, no shear
+ double fSin(0.0);
+ double fCos(1.0);
+
+ createSinCosOrthogonal(fSin, fCos, fRadiant);
+
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ fCos * fScaleX,
+ /* Row 0, Column 1 */ fScaleY * -fSin,
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ fSin * fScaleX,
+ /* Row 1, Column 1 */ fScaleY * fCos,
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ }
+ else
+ {
+ /// scale and shear used
+ if(fTools::equalZero(fRadiant))
+ {
+ /// scale and shear, but no rotate
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ fScaleX,
+ /* Row 0, Column 1 */ fScaleY * fShearX,
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ 0.0,
+ /* Row 1, Column 1 */ fScaleY,
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ else
+ {
+ /// scale, shear and rotate used
+ double fSin(0.0);
+ double fCos(1.0);
+
+ createSinCosOrthogonal(fSin, fCos, fRadiant);
+
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ fCos * fScaleX,
+ /* Row 0, Column 1 */ fScaleY * ((fCos * fShearX) - fSin),
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ fSin * fScaleX,
+ /* Row 1, Column 1 */ fScaleY * ((fSin * fShearX) + fCos),
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ }
+ }
+ }
+
+ B2DHomMatrix createShearXRotateTranslateB2DHomMatrix(
+ double fShearX,
+ double fRadiant,
+ double fTranslateX, double fTranslateY)
+ {
+ if(fTools::equalZero(fShearX))
+ {
+ /// no shear
+ if(fTools::equalZero(fRadiant))
+ {
+ /// no shear, no rotate, take shortcut
+ return createTranslateB2DHomMatrix(fTranslateX, fTranslateY);
+ }
+ else
+ {
+ /// no shear, but rotate used
+ double fSin(0.0);
+ double fCos(1.0);
+
+ createSinCosOrthogonal(fSin, fCos, fRadiant);
+
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ fCos,
+ /* Row 0, Column 1 */ -fSin,
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ fSin,
+ /* Row 1, Column 1 */ fCos,
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ }
+ else
+ {
+ /// shear used
+ if(fTools::equalZero(fRadiant))
+ {
+ /// no rotate, but shear used
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ 1.0,
+ /* Row 0, Column 1 */ fShearX,
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ 0.0,
+ /* Row 1, Column 1 */ 1.0,
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ else
+ {
+ /// shear and rotate used
+ double fSin(0.0);
+ double fCos(1.0);
+
+ createSinCosOrthogonal(fSin, fCos, fRadiant);
+
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ fCos,
+ /* Row 0, Column 1 */ (fCos * fShearX) - fSin,
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ fSin,
+ /* Row 1, Column 1 */ (fSin * fShearX) + fCos,
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ }
+ }
+
+ B2DHomMatrix createScaleTranslateB2DHomMatrix(
+ double fScaleX, double fScaleY,
+ double fTranslateX, double fTranslateY)
+ {
+ const double fOne(1.0);
+
+ if(fTools::equal(fScaleX, fOne) && fTools::equal(fScaleY, fOne))
+ {
+ /// no scale, take shortcut
+ return createTranslateB2DHomMatrix(fTranslateX, fTranslateY);
+ }
+ else
+ {
+ /// scale used
+ if(fTools::equalZero(fTranslateX) && fTools::equalZero(fTranslateY))
+ {
+ /// no translate, but scale.
+ B2DHomMatrix aRetval;
+
+ aRetval.set(0, 0, fScaleX);
+ aRetval.set(1, 1, fScaleY);
+
+ return aRetval;
+ }
+ else
+ {
+ /// translate and scale
+ B2DHomMatrix aRetval(
+ /* Row 0, Column 0 */ fScaleX,
+ /* Row 0, Column 1 */ 0.0,
+ /* Row 0, Column 2 */ fTranslateX,
+ /* Row 1, Column 0 */ 0.0,
+ /* Row 1, Column 1 */ fScaleY,
+ /* Row 1, Column 2 */ fTranslateY);
+
+ return aRetval;
+ }
+ }
+ }
+
+ B2DHomMatrix createRotateAroundPoint(
+ double fPointX, double fPointY,
+ double fRadiant)
+ {
+ B2DHomMatrix aRetval;
+
+ if(!fTools::equalZero(fRadiant))
+ {
+ double fSin(0.0);
+ double fCos(1.0);
+
+ createSinCosOrthogonal(fSin, fCos, fRadiant);
+
+ aRetval.set3x2(
+ /* Row 0, Column 0 */ fCos,
+ /* Row 0, Column 1 */ -fSin,
+ /* Row 0, Column 2 */ (fPointX * (1.0 - fCos)) + (fSin * fPointY),
+ /* Row 1, Column 0 */ fSin,
+ /* Row 1, Column 1 */ fCos,
+ /* Row 1, Column 2 */ (fPointY * (1.0 - fCos)) - (fSin * fPointX));
+ }
+
+ return aRetval;
+ }
+
+ B2DHomMatrix createRotateAroundCenterKeepAspectRatioStayInsideRange(
+ const basegfx::B2DRange& rTargetRange,
+ double fRotate)
+ {
+ basegfx::B2DHomMatrix aRetval;
+
+ // RotGrfFlyFrame: Create a transformation that maps the range inside of itself
+ // so that it fits, takes as much space as possible and keeps the aspect ratio
+ if(0.0 != fRotate)
+ {
+ // Fit rotated graphic to center of available space, keeping page ratio:
+ // Adapt scaling ratio of unit object and rotate it
+ aRetval.scale(1.0, rTargetRange.getHeight() / rTargetRange.getWidth());
+ aRetval.rotate(fRotate);
+
+ // get the range to see where we are in unit coordinates
+ basegfx::B2DRange aFullRange(0.0, 0.0, 1.0, 1.0);
+ aFullRange.transform(aRetval);
+
+ // detect needed scales in X/Y and choose the smallest for staying inside the
+ // available space while keeping aspect ratio of the source
+ const double fScaleX(rTargetRange.getWidth() / aFullRange.getWidth());
+ const double fScaleY(rTargetRange.getHeight() / aFullRange.getHeight());
+ const double fScaleMin(std::min(fScaleX, fScaleY));
+
+ // TopLeft to zero, then scale, then move to center of available space
+ aRetval.translate(-aFullRange.getMinX(), -aFullRange.getMinY());
+ aRetval.scale(fScaleMin, fScaleMin);
+ aRetval.translate(
+ rTargetRange.getCenterX() - (0.5 * fScaleMin * aFullRange.getWidth()),
+ rTargetRange.getCenterY() - (0.5 * fScaleMin * aFullRange.getHeight()));
+ }
+ else
+ {
+ // just scale/translate needed
+ aRetval *= createScaleTranslateB2DHomMatrix(
+ rTargetRange.getRange(),
+ rTargetRange.getMinimum());
+ }
+
+ return aRetval;
+ }
+
+ /// special for the case to map from source range to target range
+ B2DHomMatrix createSourceRangeTargetRangeTransform(
+ const B2DRange& rSourceRange,
+ const B2DRange& rTargetRange)
+ {
+ B2DHomMatrix aRetval;
+
+ if(&rSourceRange == &rTargetRange)
+ {
+ return aRetval;
+ }
+
+ if(!fTools::equalZero(rSourceRange.getMinX()) || !fTools::equalZero(rSourceRange.getMinY()))
+ {
+ aRetval.set(0, 2, -rSourceRange.getMinX());
+ aRetval.set(1, 2, -rSourceRange.getMinY());
+ }
+
+ const double fSourceW(rSourceRange.getWidth());
+ const double fSourceH(rSourceRange.getHeight());
+ const bool bDivX(!fTools::equalZero(fSourceW) && !fTools::equal(fSourceW, 1.0));
+ const bool bDivY(!fTools::equalZero(fSourceH) && !fTools::equal(fSourceH, 1.0));
+ const double fScaleX(bDivX ? rTargetRange.getWidth() / fSourceW : rTargetRange.getWidth());
+ const double fScaleY(bDivY ? rTargetRange.getHeight() / fSourceH : rTargetRange.getHeight());
+
+ if(!fTools::equalZero(fScaleX) || !fTools::equalZero(fScaleY))
+ {
+ aRetval.scale(fScaleX, fScaleY);
+ }
+
+ if(!fTools::equalZero(rTargetRange.getMinX()) || !fTools::equalZero(rTargetRange.getMinY()))
+ {
+ aRetval.translate(
+ rTargetRange.getMinX(),
+ rTargetRange.getMinY());
+ }
+
+ return aRetval;
+ }
+
+ B2DHomMatrix createCoordinateSystemTransform(
+ const B2DPoint& rOrigin,
+ const B2DVector& rX,
+ const B2DVector& rY)
+ {
+ return basegfx::B2DHomMatrix(
+ rX.getX(), rY.getX(), rOrigin.getX(),
+ rX.getY(), rY.getY(), rOrigin.getY());
+ }
+
+ B2DTuple getColumn(const B2DHomMatrix& rMatrix, sal_uInt16 nCol)
+ {
+ return B2DTuple(rMatrix.get(0, nCol), rMatrix.get(1, nCol));
+ }
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
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