Adding upstream version 4:7.4.7.upstream/4%7.4.7upstream

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

1 files changed, 766 insertions, 0 deletions

diff --git a/drawinglayer/source/texture/texture.cxx b/drawinglayer/source/texture/texture.cxx
new file mode 100644
index 000000000..b3477f642
--- /dev/null
+++ b/drawinglayer/source/texture/texture.cxx
@@ -0,0 +1,766 @@
+/* -*- 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 <sal/config.h>
+
+#include <algorithm>
+
+#include <texture/texture.hxx>
+#include <basegfx/numeric/ftools.hxx>
+#include <basegfx/utils/gradienttools.hxx>
+#include <basegfx/matrix/b2dhommatrixtools.hxx>
+
+#include <comphelper/random.hxx>
+
+namespace drawinglayer::texture
+{
+        namespace
+        {
+            double getRandomColorRange()
+            {
+                return comphelper::rng::uniform_real_distribution(0.0, nextafter(1.0, DBL_MAX));
+            }
+        }
+
+        GeoTexSvx::GeoTexSvx()
+        {
+        }
+
+        GeoTexSvx::~GeoTexSvx()
+        {
+        }
+
+        bool GeoTexSvx::operator==(const GeoTexSvx& /*rGeoTexSvx*/) const
+        {
+            // default implementation says yes (no data -> no difference)
+            return true;
+        }
+
+        void GeoTexSvx::modifyBColor(const basegfx::B2DPoint& /*rUV*/, basegfx::BColor& rBColor, double& /*rfOpacity*/) const
+        {
+            // base implementation creates random color (for testing only, may also be pure virtual)
+            rBColor.setRed(getRandomColorRange());
+            rBColor.setGreen(getRandomColorRange());
+            rBColor.setBlue(getRandomColorRange());
+        }
+
+        void GeoTexSvx::modifyOpacity(const basegfx::B2DPoint& rUV, double& rfOpacity) const
+        {
+            // base implementation uses inverse of luminance of solved color (for testing only, may also be pure virtual)
+            basegfx::BColor aBaseColor;
+            modifyBColor(rUV, aBaseColor, rfOpacity);
+            rfOpacity = 1.0 - aBaseColor.luminance();
+        }
+
+
+        GeoTexSvxGradient::GeoTexSvxGradient(
+            const basegfx::B2DRange& rDefinitionRange,
+            const basegfx::BColor& rStart,
+            const basegfx::BColor& rEnd,
+            double fBorder)
+        :   maDefinitionRange(rDefinitionRange),
+            maStart(rStart),
+            maEnd(rEnd),
+            mfBorder(fBorder)
+        {
+        }
+
+        GeoTexSvxGradient::~GeoTexSvxGradient()
+        {
+        }
+
+        bool GeoTexSvxGradient::operator==(const GeoTexSvx& rGeoTexSvx) const
+        {
+            const GeoTexSvxGradient* pCompare = dynamic_cast< const GeoTexSvxGradient* >(&rGeoTexSvx);
+
+            return (pCompare
+                && maGradientInfo == pCompare->maGradientInfo
+                && maDefinitionRange == pCompare->maDefinitionRange
+                && mfBorder == pCompare->mfBorder);
+        }
+
+
+        GeoTexSvxGradientLinear::GeoTexSvxGradientLinear(
+            const basegfx::B2DRange& rDefinitionRange,
+            const basegfx::B2DRange& rOutputRange,
+            const basegfx::BColor& rStart,
+            const basegfx::BColor& rEnd,
+            sal_uInt32 nSteps,
+            double fBorder,
+            double fAngle)
+        :   GeoTexSvxGradient(rDefinitionRange, rStart, rEnd, fBorder),
+            mfUnitMinX(0.0),
+            mfUnitWidth(1.0),
+            mfUnitMaxY(1.0)
+        {
+            maGradientInfo = basegfx::utils::createLinearODFGradientInfo(
+                rDefinitionRange,
+                nSteps,
+                fBorder,
+                fAngle);
+
+            if(rDefinitionRange != rOutputRange)
+            {
+                basegfx::B2DRange aInvOutputRange(rOutputRange);
+
+                aInvOutputRange.transform(maGradientInfo.getBackTextureTransform());
+                mfUnitMinX = aInvOutputRange.getMinX();
+                mfUnitWidth = aInvOutputRange.getWidth();
+                mfUnitMaxY = aInvOutputRange.getMaxY();
+            }
+        }
+
+        GeoTexSvxGradientLinear::~GeoTexSvxGradientLinear()
+        {
+        }
+
+        void GeoTexSvxGradientLinear::appendTransformationsAndColors(
+            std::vector< B2DHomMatrixAndBColor >& rEntries,
+            basegfx::BColor& rOuterColor)
+        {
+            rOuterColor = maStart;
+
+            if(!maGradientInfo.getSteps())
+                return;
+
+            const double fStripeWidth(1.0 / maGradientInfo.getSteps());
+            B2DHomMatrixAndBColor aB2DHomMatrixAndBColor;
+            basegfx::B2DHomMatrix aPattern;
+
+            // bring from unit circle [-1, -1, 1, 1] to unit range [0, 0, 1, 1]
+            aPattern.scale(0.5, 0.5);
+            aPattern.translate(0.5, 0.5);
+
+            // scale and translate in X
+            aPattern.scale(mfUnitWidth, 1.0);
+            aPattern.translate(mfUnitMinX, 0.0);
+
+            for(sal_uInt32 a(1); a < maGradientInfo.getSteps(); a++)
+            {
+                const double fPos(fStripeWidth * a);
+                basegfx::B2DHomMatrix aNew(aPattern);
+
+                // scale and translate in Y
+                double fHeight(1.0 - fPos);
+
+                if(a + 1 == maGradientInfo.getSteps() && mfUnitMaxY > 1.0)
+                {
+                    fHeight += mfUnitMaxY - 1.0;
+                }
+
+                aNew.scale(1.0, fHeight);
+                aNew.translate(0.0, fPos);
+
+                // set at target
+                aB2DHomMatrixAndBColor.maB2DHomMatrix = maGradientInfo.getTextureTransform() * aNew;
+
+                // interpolate and set color
+                aB2DHomMatrixAndBColor.maBColor = interpolate(maStart, maEnd, double(a) / double(maGradientInfo.getSteps() - 1));
+
+                rEntries.push_back(aB2DHomMatrixAndBColor);
+            }
+        }
+
+        void GeoTexSvxGradientLinear::modifyBColor(const basegfx::B2DPoint& rUV, basegfx::BColor& rBColor, double& /*rfOpacity*/) const
+        {
+            const double fScaler(basegfx::utils::getLinearGradientAlpha(rUV, maGradientInfo));
+
+            rBColor = basegfx::interpolate(maStart, maEnd, fScaler);
+        }
+
+        GeoTexSvxGradientAxial::GeoTexSvxGradientAxial(
+            const basegfx::B2DRange& rDefinitionRange,
+            const basegfx::B2DRange& rOutputRange,
+            const basegfx::BColor& rStart,
+            const basegfx::BColor& rEnd,
+            sal_uInt32 nSteps,
+            double fBorder,
+            double fAngle)
+        :   GeoTexSvxGradient(rDefinitionRange, rStart, rEnd, fBorder),
+            mfUnitMinX(0.0),
+            mfUnitWidth(1.0)
+        {
+            maGradientInfo = basegfx::utils::createAxialODFGradientInfo(
+                rDefinitionRange,
+                nSteps,
+                fBorder,
+                fAngle);
+
+            if(rDefinitionRange != rOutputRange)
+            {
+                basegfx::B2DRange aInvOutputRange(rOutputRange);
+
+                aInvOutputRange.transform(maGradientInfo.getBackTextureTransform());
+                mfUnitMinX = aInvOutputRange.getMinX();
+                mfUnitWidth = aInvOutputRange.getWidth();
+            }
+        }
+
+        GeoTexSvxGradientAxial::~GeoTexSvxGradientAxial()
+        {
+        }
+
+        void GeoTexSvxGradientAxial::appendTransformationsAndColors(
+            std::vector< B2DHomMatrixAndBColor >& rEntries,
+            basegfx::BColor& rOuterColor)
+        {
+            rOuterColor = maEnd;
+
+            if(!maGradientInfo.getSteps())
+                return;
+
+            const double fStripeWidth(1.0 / maGradientInfo.getSteps());
+            B2DHomMatrixAndBColor aB2DHomMatrixAndBColor;
+
+            for(sal_uInt32 a(1); a < maGradientInfo.getSteps(); a++)
+            {
+                const double fPos(fStripeWidth * a);
+                basegfx::B2DHomMatrix aNew;
+
+                // bring in X from unit circle [-1, -1, 1, 1] to unit range [0, 0, 1, 1]
+                aNew.scale(0.5, 1.0);
+                aNew.translate(0.5, 0.0);
+
+                // scale/translate in X
+                aNew.scale(mfUnitWidth, 1.0);
+                aNew.translate(mfUnitMinX, 0.0);
+
+                // already centered in Y on X-Axis, just scale in Y
+                aNew.scale(1.0, 1.0 - fPos);
+
+                // set at target
+                aB2DHomMatrixAndBColor.maB2DHomMatrix = maGradientInfo.getTextureTransform() * aNew;
+
+                // interpolate and set color
+                aB2DHomMatrixAndBColor.maBColor = interpolate(maEnd, maStart, double(a) / double(maGradientInfo.getSteps() - 1));
+
+                rEntries.push_back(aB2DHomMatrixAndBColor);
+            }
+        }
+
+        void GeoTexSvxGradientAxial::modifyBColor(const basegfx::B2DPoint& rUV, basegfx::BColor& rBColor, double& /*rfOpacity*/) const
+        {
+            const double fScaler(basegfx::utils::getAxialGradientAlpha(rUV, maGradientInfo));
+
+            rBColor = basegfx::interpolate(maStart, maEnd, fScaler);
+        }
+
+
+        GeoTexSvxGradientRadial::GeoTexSvxGradientRadial(
+            const basegfx::B2DRange& rDefinitionRange,
+            const basegfx::BColor& rStart,
+            const basegfx::BColor& rEnd,
+            sal_uInt32 nSteps,
+            double fBorder,
+            double fOffsetX,
+            double fOffsetY)
+        :   GeoTexSvxGradient(rDefinitionRange, rStart, rEnd, fBorder)
+        {
+            maGradientInfo = basegfx::utils::createRadialODFGradientInfo(
+                rDefinitionRange,
+                basegfx::B2DVector(fOffsetX,fOffsetY),
+                nSteps,
+                fBorder);
+        }
+
+        GeoTexSvxGradientRadial::~GeoTexSvxGradientRadial()
+        {
+        }
+
+        void GeoTexSvxGradientRadial::appendTransformationsAndColors(
+            std::vector< B2DHomMatrixAndBColor >& rEntries,
+            basegfx::BColor& rOuterColor)
+        {
+            rOuterColor = maStart;
+
+            if(!maGradientInfo.getSteps())
+                return;
+
+            const double fStepSize(1.0 / maGradientInfo.getSteps());
+            B2DHomMatrixAndBColor aB2DHomMatrixAndBColor;
+
+            for(sal_uInt32 a(1); a < maGradientInfo.getSteps(); a++)
+            {
+                const double fSize(1.0 - (fStepSize * a));
+                aB2DHomMatrixAndBColor.maB2DHomMatrix = maGradientInfo.getTextureTransform() * basegfx::utils::createScaleB2DHomMatrix(fSize, fSize);
+                aB2DHomMatrixAndBColor.maBColor = interpolate(maStart, maEnd, double(a) / double(maGradientInfo.getSteps() - 1));
+                rEntries.push_back(aB2DHomMatrixAndBColor);
+            }
+        }
+
+        void GeoTexSvxGradientRadial::modifyBColor(const basegfx::B2DPoint& rUV, basegfx::BColor& rBColor, double& /*rfOpacity*/) const
+        {
+            const double fScaler(basegfx::utils::getRadialGradientAlpha(rUV, maGradientInfo));
+
+            rBColor = basegfx::interpolate(maStart, maEnd, fScaler);
+        }
+
+
+        GeoTexSvxGradientElliptical::GeoTexSvxGradientElliptical(
+            const basegfx::B2DRange& rDefinitionRange,
+            const basegfx::BColor& rStart,
+            const basegfx::BColor& rEnd,
+            sal_uInt32 nSteps,
+            double fBorder,
+            double fOffsetX,
+            double fOffsetY,
+            double fAngle)
+        :   GeoTexSvxGradient(rDefinitionRange, rStart, rEnd, fBorder)
+        {
+            maGradientInfo = basegfx::utils::createEllipticalODFGradientInfo(
+                rDefinitionRange,
+                basegfx::B2DVector(fOffsetX,fOffsetY),
+                nSteps,
+                fBorder,
+                fAngle);
+        }
+
+        GeoTexSvxGradientElliptical::~GeoTexSvxGradientElliptical()
+        {
+        }
+
+        void GeoTexSvxGradientElliptical::appendTransformationsAndColors(
+            std::vector< B2DHomMatrixAndBColor >& rEntries,
+            basegfx::BColor& rOuterColor)
+        {
+            rOuterColor = maStart;
+
+            if(!maGradientInfo.getSteps())
+                return;
+
+            double fWidth(1.0);
+            double fHeight(1.0);
+            double fIncrementX(0.0);
+            double fIncrementY(0.0);
+
+            if(maGradientInfo.getAspectRatio() > 1.0)
+            {
+                fIncrementY = fHeight / maGradientInfo.getSteps();
+                fIncrementX = fIncrementY / maGradientInfo.getAspectRatio();
+            }
+            else
+            {
+                fIncrementX = fWidth / maGradientInfo.getSteps();
+                fIncrementY = fIncrementX * maGradientInfo.getAspectRatio();
+            }
+
+            B2DHomMatrixAndBColor aB2DHomMatrixAndBColor;
+
+            for(sal_uInt32 a(1); a < maGradientInfo.getSteps(); a++)
+            {
+                // next step
+                fWidth -= fIncrementX;
+                fHeight -= fIncrementY;
+
+                aB2DHomMatrixAndBColor.maB2DHomMatrix = maGradientInfo.getTextureTransform() * basegfx::utils::createScaleB2DHomMatrix(fWidth, fHeight);
+                aB2DHomMatrixAndBColor.maBColor = interpolate(maStart, maEnd, double(a) / double(maGradientInfo.getSteps() - 1));
+                rEntries.push_back(aB2DHomMatrixAndBColor);
+            }
+        }
+
+        void GeoTexSvxGradientElliptical::modifyBColor(const basegfx::B2DPoint& rUV, basegfx::BColor& rBColor, double& /*rfOpacity*/) const
+        {
+            const double fScaler(basegfx::utils::getEllipticalGradientAlpha(rUV, maGradientInfo));
+
+            rBColor = basegfx::interpolate(maStart, maEnd, fScaler);
+        }
+
+
+        GeoTexSvxGradientSquare::GeoTexSvxGradientSquare(
+            const basegfx::B2DRange& rDefinitionRange,
+            const basegfx::BColor& rStart,
+            const basegfx::BColor& rEnd,
+            sal_uInt32 nSteps,
+            double fBorder,
+            double fOffsetX,
+            double fOffsetY,
+            double fAngle)
+        :   GeoTexSvxGradient(rDefinitionRange, rStart, rEnd, fBorder)
+        {
+            maGradientInfo = basegfx::utils::createSquareODFGradientInfo(
+                rDefinitionRange,
+                basegfx::B2DVector(fOffsetX,fOffsetY),
+                nSteps,
+                fBorder,
+                fAngle);
+        }
+
+        GeoTexSvxGradientSquare::~GeoTexSvxGradientSquare()
+        {
+        }
+
+        void GeoTexSvxGradientSquare::appendTransformationsAndColors(
+            std::vector< B2DHomMatrixAndBColor >& rEntries,
+            basegfx::BColor& rOuterColor)
+        {
+            rOuterColor = maStart;
+
+            if(!maGradientInfo.getSteps())
+                return;
+
+            const double fStepSize(1.0 / maGradientInfo.getSteps());
+            B2DHomMatrixAndBColor aB2DHomMatrixAndBColor;
+
+            for(sal_uInt32 a(1); a < maGradientInfo.getSteps(); a++)
+            {
+                const double fSize(1.0 - (fStepSize * a));
+                aB2DHomMatrixAndBColor.maB2DHomMatrix = maGradientInfo.getTextureTransform() * basegfx::utils::createScaleB2DHomMatrix(fSize, fSize);
+                aB2DHomMatrixAndBColor.maBColor = interpolate(maStart, maEnd, double(a) / double(maGradientInfo.getSteps() - 1));
+                rEntries.push_back(aB2DHomMatrixAndBColor);
+            }
+        }
+
+        void GeoTexSvxGradientSquare::modifyBColor(const basegfx::B2DPoint& rUV, basegfx::BColor& rBColor, double& /*rfOpacity*/) const
+        {
+            const double fScaler(basegfx::utils::getSquareGradientAlpha(rUV, maGradientInfo));
+
+            rBColor = basegfx::interpolate(maStart, maEnd, fScaler);
+        }
+
+
+        GeoTexSvxGradientRect::GeoTexSvxGradientRect(
+            const basegfx::B2DRange& rDefinitionRange,
+            const basegfx::BColor& rStart,
+            const basegfx::BColor& rEnd,
+            sal_uInt32 nSteps,
+            double fBorder,
+            double fOffsetX,
+            double fOffsetY,
+            double fAngle)
+        :   GeoTexSvxGradient(rDefinitionRange, rStart, rEnd, fBorder)
+        {
+            maGradientInfo = basegfx::utils::createRectangularODFGradientInfo(
+                rDefinitionRange,
+                basegfx::B2DVector(fOffsetX,fOffsetY),
+                nSteps,
+                fBorder,
+                fAngle);
+        }
+
+        GeoTexSvxGradientRect::~GeoTexSvxGradientRect()
+        {
+        }
+
+        void GeoTexSvxGradientRect::appendTransformationsAndColors(
+            std::vector< B2DHomMatrixAndBColor >& rEntries,
+            basegfx::BColor& rOuterColor)
+        {
+            rOuterColor = maStart;
+
+            if(!maGradientInfo.getSteps())
+                return;
+
+            double fWidth(1.0);
+            double fHeight(1.0);
+            double fIncrementX(0.0);
+            double fIncrementY(0.0);
+
+            if(maGradientInfo.getAspectRatio() > 1.0)
+            {
+                fIncrementY = fHeight / maGradientInfo.getSteps();
+                fIncrementX = fIncrementY / maGradientInfo.getAspectRatio();
+            }
+            else
+            {
+                fIncrementX = fWidth / maGradientInfo.getSteps();
+                fIncrementY = fIncrementX * maGradientInfo.getAspectRatio();
+            }
+
+            B2DHomMatrixAndBColor aB2DHomMatrixAndBColor;
+
+            for(sal_uInt32 a(1); a < maGradientInfo.getSteps(); a++)
+            {
+                // next step
+                fWidth -= fIncrementX;
+                fHeight -= fIncrementY;
+
+                aB2DHomMatrixAndBColor.maB2DHomMatrix = maGradientInfo.getTextureTransform() * basegfx::utils::createScaleB2DHomMatrix(fWidth, fHeight);
+                aB2DHomMatrixAndBColor.maBColor = interpolate(maStart, maEnd, double(a) / double(maGradientInfo.getSteps() - 1));
+                rEntries.push_back(aB2DHomMatrixAndBColor);
+            }
+        }
+
+        void GeoTexSvxGradientRect::modifyBColor(const basegfx::B2DPoint& rUV, basegfx::BColor& rBColor, double& /*rfOpacity*/) const
+        {
+            const double fScaler(basegfx::utils::getRectangularGradientAlpha(rUV, maGradientInfo));
+
+            rBColor = basegfx::interpolate(maStart, maEnd, fScaler);
+        }
+
+
+        GeoTexSvxHatch::GeoTexSvxHatch(
+            const basegfx::B2DRange& rDefinitionRange,
+            const basegfx::B2DRange& rOutputRange,
+            double fDistance,
+            double fAngle)
+        :   maOutputRange(rOutputRange),
+            mfDistance(0.1),
+            mfAngle(fAngle),
+            mnSteps(10),
+            mbDefinitionRangeEqualsOutputRange(rDefinitionRange == rOutputRange)
+        {
+            double fTargetSizeX(rDefinitionRange.getWidth());
+            double fTargetSizeY(rDefinitionRange.getHeight());
+            double fTargetOffsetX(rDefinitionRange.getMinX());
+            double fTargetOffsetY(rDefinitionRange.getMinY());
+
+            fAngle = -fAngle;
+
+            // add object expansion
+            if(0.0 != fAngle)
+            {
+                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;
+            }
+
+            // add object scale before rotate
+            maTextureTransform.scale(fTargetSizeX, fTargetSizeY);
+
+            // add texture rotate after scale to keep perpendicular angles
+            if(0.0 != fAngle)
+            {
+                basegfx::B2DPoint aCenter(0.5, 0.5);
+                aCenter *= maTextureTransform;
+
+                maTextureTransform = basegfx::utils::createRotateAroundPoint(aCenter, fAngle)
+                    * maTextureTransform;
+            }
+
+            // add object translate
+            maTextureTransform.translate(fTargetOffsetX, fTargetOffsetY);
+
+            // prepare height for texture
+            const double fSteps((0.0 != fDistance) ? fTargetSizeY / fDistance : 10.0);
+            mnSteps = basegfx::fround(fSteps + 0.5);
+            mfDistance = 1.0 / fSteps;
+        }
+
+        GeoTexSvxHatch::~GeoTexSvxHatch()
+        {
+        }
+
+        bool GeoTexSvxHatch::operator==(const GeoTexSvx& rGeoTexSvx) const
+        {
+            const GeoTexSvxHatch* pCompare = dynamic_cast< const GeoTexSvxHatch* >(&rGeoTexSvx);
+            return (pCompare
+                && maOutputRange == pCompare->maOutputRange
+                && maTextureTransform == pCompare->maTextureTransform
+                && mfDistance == pCompare->mfDistance
+                && mfAngle == pCompare->mfAngle
+                && mnSteps == pCompare->mnSteps);
+        }
+
+        void GeoTexSvxHatch::appendTransformations(std::vector< basegfx::B2DHomMatrix >& rMatrices)
+        {
+            if(mbDefinitionRangeEqualsOutputRange)
+            {
+                // simple hatch where the definition area equals the output area
+                for(sal_uInt32 a(1); a < mnSteps; a++)
+                {
+                    // create matrix
+                    const double fOffset(mfDistance * static_cast<double>(a));
+                    basegfx::B2DHomMatrix aNew;
+                    aNew.set(1, 2, fOffset);
+                    rMatrices.push_back(maTextureTransform * aNew);
+                }
+            }
+            else
+            {
+                // output area is different from definition area, back-transform to get
+                // the output area in unit coordinates and fill this with hatch lines
+                // using the settings derived from the definition area
+                basegfx::B2DRange aBackUnitRange(maOutputRange);
+
+                aBackUnitRange.transform(getBackTextureTransform());
+
+                // calculate vertical start value and a security maximum integer value to avoid death loops
+                double fStart(basegfx::snapToNearestMultiple(aBackUnitRange.getMinY(), mfDistance));
+                const sal_uInt32 nNeededIntegerSteps(basegfx::fround((aBackUnitRange.getHeight() / mfDistance) + 0.5));
+                sal_uInt32 nMaxIntegerSteps(std::min(nNeededIntegerSteps, sal_uInt32(10000)));
+
+                while(fStart < aBackUnitRange.getMaxY() && nMaxIntegerSteps)
+                {
+                    // create new transform for
+                    basegfx::B2DHomMatrix aNew;
+
+                    // adapt x scale and position
+                    //aNew.scale(aBackUnitRange.getWidth(), 1.0);
+                    //aNew.translate(aBackUnitRange.getMinX(), 0.0);
+                    aNew.set(0, 0, aBackUnitRange.getWidth());
+                    aNew.set(0, 2, aBackUnitRange.getMinX());
+
+                    // adapt y position to current step
+                    aNew.set(1, 2, fStart);
+                    //aNew.translate(0.0, fStart);
+
+                    // add new transformation
+                    rMatrices.push_back(maTextureTransform * aNew);
+
+                    // next step
+                    fStart += mfDistance;
+                    nMaxIntegerSteps--;
+                }
+            }
+        }
+
+        double GeoTexSvxHatch::getDistanceToHatch(const basegfx::B2DPoint& rUV) const
+        {
+            const basegfx::B2DPoint aCoor(getBackTextureTransform() * rUV);
+            return fmod(aCoor.getY(), mfDistance);
+        }
+
+        const basegfx::B2DHomMatrix& GeoTexSvxHatch::getBackTextureTransform() const
+        {
+            if(maBackTextureTransform.isIdentity())
+            {
+                const_cast< GeoTexSvxHatch* >(this)->maBackTextureTransform = maTextureTransform;
+                const_cast< GeoTexSvxHatch* >(this)->maBackTextureTransform.invert();
+            }
+
+            return maBackTextureTransform;
+        }
+
+
+        GeoTexSvxTiled::GeoTexSvxTiled(
+            const basegfx::B2DRange& rRange,
+            double fOffsetX,
+            double fOffsetY)
+        :   maRange(rRange),
+            mfOffsetX(std::clamp(fOffsetX, 0.0, 1.0)),
+            mfOffsetY(std::clamp(fOffsetY, 0.0, 1.0))
+        {
+            if(!basegfx::fTools::equalZero(mfOffsetX))
+            {
+                mfOffsetY = 0.0;
+            }
+        }
+
+        GeoTexSvxTiled::~GeoTexSvxTiled()
+        {
+        }
+
+        bool GeoTexSvxTiled::operator==(const GeoTexSvx& rGeoTexSvx) const
+        {
+            const GeoTexSvxTiled* pCompare = dynamic_cast< const GeoTexSvxTiled* >(&rGeoTexSvx);
+
+            return (pCompare
+                && maRange == pCompare->maRange
+                && mfOffsetX == pCompare->mfOffsetX
+                && mfOffsetY == pCompare->mfOffsetY);
+        }
+
+        sal_uInt32 GeoTexSvxTiled::getNumberOfTiles() const
+        {
+            sal_Int32 nTiles = 0;
+            iterateTiles([&](double, double) { ++nTiles; });
+            return nTiles;
+        }
+
+        void GeoTexSvxTiled::appendTransformations(std::vector< basegfx::B2DHomMatrix >& rMatrices) const
+        {
+            const double fWidth(maRange.getWidth());
+            const double fHeight(maRange.getHeight());
+            iterateTiles([&](double fPosX, double fPosY) {
+                rMatrices.push_back(basegfx::utils::createScaleTranslateB2DHomMatrix(
+                                        fWidth,
+                                        fHeight,
+                                        fPosX,
+                                        fPosY));
+                });
+        }
+
+        void GeoTexSvxTiled::iterateTiles(std::function<void(double fPosX, double fPosY)> aFunc) const
+        {
+            const double fWidth(maRange.getWidth());
+
+            if(basegfx::fTools::equalZero(fWidth))
+                return;
+
+            const double fHeight(maRange.getHeight());
+
+            if(basegfx::fTools::equalZero(fHeight))
+                return;
+
+            double fStartX(maRange.getMinX());
+            double fStartY(maRange.getMinY());
+            sal_Int32 nPosX(0);
+            sal_Int32 nPosY(0);
+
+            if(basegfx::fTools::more(fStartX, 0.0))
+            {
+                const sal_Int32 nDiff(static_cast<sal_Int32>(floor(fStartX / fWidth)) + 1);
+
+                nPosX -= nDiff;
+                fStartX -= nDiff * fWidth;
+            }
+
+            if(basegfx::fTools::less(fStartX + fWidth, 0.0))
+            {
+                const sal_Int32 nDiff(static_cast<sal_Int32>(floor(-fStartX / fWidth)));
+
+                nPosX += nDiff;
+                fStartX += nDiff * fWidth;
+            }
+
+            if(basegfx::fTools::more(fStartY, 0.0))
+            {
+                const sal_Int32 nDiff(static_cast<sal_Int32>(floor(fStartY / fHeight)) + 1);
+
+                nPosY -= nDiff;
+                fStartY -= nDiff * fHeight;
+            }
+
+            if(basegfx::fTools::less(fStartY + fHeight, 0.0))
+            {
+                const sal_Int32 nDiff(static_cast<sal_Int32>(floor(-fStartY / fHeight)));
+
+                nPosY += nDiff;
+                fStartY += nDiff * fHeight;
+            }
+
+            if(!basegfx::fTools::equalZero(mfOffsetY))
+            {
+                for(double fPosX(fStartX); basegfx::fTools::less(fPosX, 1.0); fPosX += fWidth, nPosX++)
+                {
+                    for(double fPosY((nPosX % 2) ? fStartY - fHeight + (mfOffsetY * fHeight) : fStartY);
+                        basegfx::fTools::less(fPosY, 1.0); fPosY += fHeight)
+                        aFunc(fPosX, fPosY);
+                }
+            }
+            else
+            {
+                for(double fPosY(fStartY); basegfx::fTools::less(fPosY, 1.0); fPosY += fHeight, nPosY++)
+                {
+                    for(double fPosX((nPosY % 2) ? fStartX - fWidth + (mfOffsetX * fWidth) : fStartX);
+                        basegfx::fTools::less(fPosX, 1.0); fPosX += fWidth)
+                        aFunc(fPosX, fPosY);
+                }
+            }
+
+        }
+
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */