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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/utils/gradienttools.hxx>
+#include <basegfx/point/b2dpoint.hxx>
+#include <basegfx/range/b2drange.hxx>
+#include <basegfx/matrix/b2dhommatrixtools.hxx>
+#include <cmath>
+
+namespace basegfx
+{
+ bool ODFGradientInfo::operator==(const ODFGradientInfo& rODFGradientInfo) const
+ {
+ return getTextureTransform() == rODFGradientInfo.getTextureTransform()
+ && getAspectRatio() == rODFGradientInfo.getAspectRatio()
+ && getSteps() == rODFGradientInfo.getSteps();
+ }
+
+ const B2DHomMatrix& ODFGradientInfo::getBackTextureTransform() const
+ {
+ if(maBackTextureTransform.isIdentity())
+ {
+ const_cast< ODFGradientInfo* >(this)->maBackTextureTransform = getTextureTransform();
+ const_cast< ODFGradientInfo* >(this)->maBackTextureTransform.invert();
+ }
+
+ return maBackTextureTransform;
+ }
+
+ /** Most of the setup for linear & axial gradient is the same, except
+ for the border treatment. Factored out here.
+ */
+ static ODFGradientInfo init1DGradientInfo(
+ const B2DRange& rTargetRange,
+ sal_uInt32 nSteps,
+ double fBorder,
+ double fAngle,
+ bool bAxial)
+ {
+ B2DHomMatrix aTextureTransform;
+
+ fAngle = -fAngle;
+
+ double fTargetSizeX(rTargetRange.getWidth());
+ double fTargetSizeY(rTargetRange.getHeight());
+ double fTargetOffsetX(rTargetRange.getMinX());
+ double fTargetOffsetY(rTargetRange.getMinY());
+
+ // add object expansion
+ const bool bAngleUsed(!fTools::equalZero(fAngle));
+
+ if(bAngleUsed)
+ {
+ const double fAbsCos(fabs(cos(fAngle)));
+ const double fAbsSin(fabs(sin(fAngle)));
+ const double fNewX(fTargetSizeX * fAbsCos + fTargetSizeY * fAbsSin);
+ const double fNewY(fTargetSizeY * fAbsCos + fTargetSizeX * fAbsSin);
+
+ fTargetOffsetX -= (fNewX - fTargetSizeX) / 2.0;
+ fTargetOffsetY -= (fNewY - fTargetSizeY) / 2.0;
+ fTargetSizeX = fNewX;
+ fTargetSizeY = fNewY;
+ }
+
+ const double fSizeWithoutBorder(1.0 - fBorder);
+
+ if(bAxial)
+ {
+ aTextureTransform.scale(1.0, fSizeWithoutBorder * 0.5);
+ aTextureTransform.translate(0.0, 0.5);
+ }
+ else
+ {
+ if(!fTools::equal(fSizeWithoutBorder, 1.0))
+ {
+ aTextureTransform.scale(1.0, fSizeWithoutBorder);
+ aTextureTransform.translate(0.0, fBorder);
+ }
+ }
+
+ aTextureTransform.scale(fTargetSizeX, fTargetSizeY);
+
+ // add texture rotate after scale to keep perpendicular angles
+ if(bAngleUsed)
+ {
+ const B2DPoint aCenter(0.5 * fTargetSizeX, 0.5 * fTargetSizeY);
+
+ aTextureTransform *= basegfx::utils::createRotateAroundPoint(aCenter, fAngle);
+ }
+
+ // add object translate
+ aTextureTransform.translate(fTargetOffsetX, fTargetOffsetY);
+
+ // prepare aspect for texture
+ const double fAspectRatio(fTools::equalZero(fTargetSizeY) ? 1.0 : fTargetSizeX / fTargetSizeY);
+
+ return ODFGradientInfo(aTextureTransform, fAspectRatio, nSteps);
+ }
+
+ /** Most of the setup for radial & ellipsoidal gradient is the same,
+ except for the border treatment. Factored out here.
+ */
+ static ODFGradientInfo initEllipticalGradientInfo(
+ const B2DRange& rTargetRange,
+ const B2DVector& rOffset,
+ sal_uInt32 nSteps,
+ double fBorder,
+ double fAngle,
+ bool bCircular)
+ {
+ B2DHomMatrix aTextureTransform;
+
+ fAngle = -fAngle;
+
+ double fTargetSizeX(rTargetRange.getWidth());
+ double fTargetSizeY(rTargetRange.getHeight());
+ double fTargetOffsetX(rTargetRange.getMinX());
+ double fTargetOffsetY(rTargetRange.getMinY());
+
+ // add object expansion
+ if(bCircular)
+ {
+ const double fOriginalDiag(std::hypot(fTargetSizeX, fTargetSizeY));
+
+ fTargetOffsetX -= (fOriginalDiag - fTargetSizeX) / 2.0;
+ fTargetOffsetY -= (fOriginalDiag - fTargetSizeY) / 2.0;
+ fTargetSizeX = fOriginalDiag;
+ fTargetSizeY = fOriginalDiag;
+ }
+ else
+ {
+ fTargetOffsetX -= ((M_SQRT2 - 1) / 2.0 ) * fTargetSizeX;
+ fTargetOffsetY -= ((M_SQRT2 - 1) / 2.0 ) * fTargetSizeY;
+ fTargetSizeX = M_SQRT2 * fTargetSizeX;
+ fTargetSizeY = M_SQRT2 * fTargetSizeY;
+ }
+
+ const double fHalfBorder((1.0 - fBorder) * 0.5);
+
+ aTextureTransform.scale(fHalfBorder, fHalfBorder);
+ aTextureTransform.translate(0.5, 0.5);
+ aTextureTransform.scale(fTargetSizeX, fTargetSizeY);
+
+ // add texture rotate after scale to keep perpendicular angles
+ if(!bCircular && !fTools::equalZero(fAngle))
+ {
+ const B2DPoint aCenter(0.5 * fTargetSizeX, 0.5 * fTargetSizeY);
+
+ aTextureTransform *= basegfx::utils::createRotateAroundPoint(aCenter, fAngle);
+ }
+
+ // add defined offsets after rotation
+ if(!fTools::equal(0.5, rOffset.getX()) || !fTools::equal(0.5, rOffset.getY()))
+ {
+ // use original target size
+ fTargetOffsetX += (rOffset.getX() - 0.5) * rTargetRange.getWidth();
+ fTargetOffsetY += (rOffset.getY() - 0.5) * rTargetRange.getHeight();
+ }
+
+ // add object translate
+ aTextureTransform.translate(fTargetOffsetX, fTargetOffsetY);
+
+ // prepare aspect for texture
+ const double fAspectRatio(fTargetSizeY == 0.0 ? 1.0 : (fTargetSizeX / fTargetSizeY));
+
+ return ODFGradientInfo(aTextureTransform, fAspectRatio, nSteps);
+ }
+
+ /** Setup for rect & square gradient is exactly the same. Factored out
+ here.
+ */
+ static ODFGradientInfo initRectGradientInfo(
+ const B2DRange& rTargetRange,
+ const B2DVector& rOffset,
+ sal_uInt32 nSteps,
+ double fBorder,
+ double fAngle,
+ bool bSquare)
+ {
+ B2DHomMatrix aTextureTransform;
+
+ fAngle = -fAngle;
+
+ double fTargetSizeX(rTargetRange.getWidth());
+ double fTargetSizeY(rTargetRange.getHeight());
+ double fTargetOffsetX(rTargetRange.getMinX());
+ double fTargetOffsetY(rTargetRange.getMinY());
+
+ // add object expansion
+ if(bSquare)
+ {
+ const double fSquareWidth(std::max(fTargetSizeX, fTargetSizeY));
+
+ fTargetOffsetX -= (fSquareWidth - fTargetSizeX) / 2.0;
+ fTargetOffsetY -= (fSquareWidth - fTargetSizeY) / 2.0;
+ fTargetSizeX = fTargetSizeY = fSquareWidth;
+ }
+
+ // add object expansion
+ const bool bAngleUsed(!fTools::equalZero(fAngle));
+
+ if(bAngleUsed)
+ {
+ const double fAbsCos(fabs(cos(fAngle)));
+ const double fAbsSin(fabs(sin(fAngle)));
+ const double fNewX(fTargetSizeX * fAbsCos + fTargetSizeY * fAbsSin);
+ const double fNewY(fTargetSizeY * fAbsCos + fTargetSizeX * fAbsSin);
+
+ fTargetOffsetX -= (fNewX - fTargetSizeX) / 2.0;
+ fTargetOffsetY -= (fNewY - fTargetSizeY) / 2.0;
+ fTargetSizeX = fNewX;
+ fTargetSizeY = fNewY;
+ }
+
+ const double fHalfBorder((1.0 - fBorder) * 0.5);
+
+ aTextureTransform.scale(fHalfBorder, fHalfBorder);
+ aTextureTransform.translate(0.5, 0.5);
+ aTextureTransform.scale(fTargetSizeX, fTargetSizeY);
+
+ // add texture rotate after scale to keep perpendicular angles
+ if(bAngleUsed)
+ {
+ const B2DPoint aCenter(0.5 * fTargetSizeX, 0.5 * fTargetSizeY);
+
+ aTextureTransform *= basegfx::utils::createRotateAroundPoint(aCenter, fAngle);
+ }
+
+ // add defined offsets after rotation
+ if(!fTools::equal(0.5, rOffset.getX()) || !fTools::equal(0.5, rOffset.getY()))
+ {
+ // use original target size
+ fTargetOffsetX += (rOffset.getX() - 0.5) * rTargetRange.getWidth();
+ fTargetOffsetY += (rOffset.getY() - 0.5) * rTargetRange.getHeight();
+ }
+
+ // add object translate
+ aTextureTransform.translate(fTargetOffsetX, fTargetOffsetY);
+
+ // prepare aspect for texture
+ const double fAspectRatio(fTargetSizeY == 0.0 ? 1.0 : (fTargetSizeX / fTargetSizeY));
+
+ return ODFGradientInfo(aTextureTransform, fAspectRatio, nSteps);
+ }
+
+ namespace utils
+ {
+ ODFGradientInfo createLinearODFGradientInfo(
+ const B2DRange& rTargetArea,
+ sal_uInt32 nSteps,
+ double fBorder,
+ double fAngle)
+ {
+ return init1DGradientInfo(
+ rTargetArea,
+ nSteps,
+ fBorder,
+ fAngle,
+ false);
+ }
+
+ ODFGradientInfo createAxialODFGradientInfo(
+ const B2DRange& rTargetArea,
+ sal_uInt32 nSteps,
+ double fBorder,
+ double fAngle)
+ {
+ return init1DGradientInfo(
+ rTargetArea,
+ nSteps,
+ fBorder,
+ fAngle,
+ true);
+ }
+
+ ODFGradientInfo createRadialODFGradientInfo(
+ const B2DRange& rTargetArea,
+ const B2DVector& rOffset,
+ sal_uInt32 nSteps,
+ double fBorder)
+ {
+ return initEllipticalGradientInfo(
+ rTargetArea,
+ rOffset,
+ nSteps,
+ fBorder,
+ 0.0,
+ true);
+ }
+
+ ODFGradientInfo createEllipticalODFGradientInfo(
+ const B2DRange& rTargetArea,
+ const B2DVector& rOffset,
+ sal_uInt32 nSteps,
+ double fBorder,
+ double fAngle)
+ {
+ return initEllipticalGradientInfo(
+ rTargetArea,
+ rOffset,
+ nSteps,
+ fBorder,
+ fAngle,
+ false);
+ }
+
+ ODFGradientInfo createSquareODFGradientInfo(
+ const B2DRange& rTargetArea,
+ const B2DVector& rOffset,
+ sal_uInt32 nSteps,
+ double fBorder,
+ double fAngle)
+ {
+ return initRectGradientInfo(
+ rTargetArea,
+ rOffset,
+ nSteps,
+ fBorder,
+ fAngle,
+ true);
+ }
+
+ ODFGradientInfo createRectangularODFGradientInfo(
+ const B2DRange& rTargetArea,
+ const B2DVector& rOffset,
+ sal_uInt32 nSteps,
+ double fBorder,
+ double fAngle)
+ {
+ return initRectGradientInfo(
+ rTargetArea,
+ rOffset,
+ nSteps,
+ fBorder,
+ fAngle,
+ false);
+ }
+
+ double getLinearGradientAlpha(const B2DPoint& rUV, const ODFGradientInfo& rGradInfo)
+ {
+ const B2DPoint aCoor(rGradInfo.getBackTextureTransform() * rUV);
+
+ // Ignore Y, this is not needed at all for Y-Oriented gradients
+ // if(aCoor.getX() < 0.0 || aCoor.getX() > 1.0)
+ // {
+ // return 0.0;
+ // }
+
+ if(aCoor.getY() <= 0.0)
+ {
+ return 0.0; // start value for inside
+ }
+
+ if(aCoor.getY() >= 1.0)
+ {
+ return 1.0; // end value for outside
+ }
+
+ const sal_uInt32 nSteps(rGradInfo.getSteps());
+
+ if(nSteps)
+ {
+ return floor(aCoor.getY() * nSteps) / double(nSteps - 1);
+ }
+
+ return aCoor.getY();
+ }
+
+ double getAxialGradientAlpha(const B2DPoint& rUV, const ODFGradientInfo& rGradInfo)
+ {
+ const B2DPoint aCoor(rGradInfo.getBackTextureTransform() * rUV);
+
+ // Ignore Y, this is not needed at all for Y-Oriented gradients
+ //if(aCoor.getX() < 0.0 || aCoor.getX() > 1.0)
+ //{
+ // return 0.0;
+ //}
+
+ const double fAbsY(fabs(aCoor.getY()));
+
+ if(fAbsY >= 1.0)
+ {
+ return 1.0; // use end value when outside in Y
+ }
+
+ const sal_uInt32 nSteps(rGradInfo.getSteps());
+
+ if(nSteps)
+ {
+ return floor(fAbsY * nSteps) / double(nSteps - 1);
+ }
+
+ return fAbsY;
+ }
+
+ double getRadialGradientAlpha(const B2DPoint& rUV, const ODFGradientInfo& rGradInfo)
+ {
+ const B2DPoint aCoor(rGradInfo.getBackTextureTransform() * rUV);
+
+ if(aCoor.getX() < -1.0 || aCoor.getX() > 1.0 || aCoor.getY() < -1.0 || aCoor.getY() > 1.0)
+ {
+ return 0.0;
+ }
+
+ const double t(1.0 - std::hypot(aCoor.getX(), aCoor.getY()));
+ const sal_uInt32 nSteps(rGradInfo.getSteps());
+
+ if(nSteps && t < 1.0)
+ {
+ return floor(t * nSteps) / double(nSteps - 1);
+ }
+
+ return t;
+ }
+
+ double getEllipticalGradientAlpha(const B2DPoint& rUV, const ODFGradientInfo& rGradInfo)
+ {
+ return getRadialGradientAlpha(rUV, rGradInfo); // only matrix setup differs
+ }
+
+ double getSquareGradientAlpha(const B2DPoint& rUV, const ODFGradientInfo& rGradInfo)
+ {
+ const B2DPoint aCoor(rGradInfo.getBackTextureTransform() * rUV);
+ const double fAbsX(fabs(aCoor.getX()));
+
+ if(fAbsX >= 1.0)
+ {
+ return 0.0;
+ }
+
+ const double fAbsY(fabs(aCoor.getY()));
+
+ if(fAbsY >= 1.0)
+ {
+ return 0.0;
+ }
+
+ const double t(1.0 - std::max(fAbsX, fAbsY));
+ const sal_uInt32 nSteps(rGradInfo.getSteps());
+
+ if(nSteps && t < 1.0)
+ {
+ return floor(t * nSteps) / double(nSteps - 1);
+ }
+
+ return t;
+ }
+
+ double getRectangularGradientAlpha(const B2DPoint& rUV, const ODFGradientInfo& rGradInfo)
+ {
+ return getSquareGradientAlpha(rUV, rGradInfo); // only matrix setup differs
+ }
+ } // namespace utils
+} // namespace basegfx
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */