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, 562 insertions, 0 deletions

diff --git a/basegfx/test/B2DHomMatrixTest.cxx b/basegfx/test/B2DHomMatrixTest.cxx
new file mode 100644
index 000000000..bd6b1f8c8
--- /dev/null
+++ b/basegfx/test/B2DHomMatrixTest.cxx
@@ -0,0 +1,562 @@
+/* -*- 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 <cppunit/TestAssert.h>
+#include <cppunit/TestFixture.h>
+#include <cppunit/extensions/HelperMacros.h>
+
+#include <basegfx/matrix/b2dhommatrix.hxx>
+#include <basegfx/matrix/b2dhommatrixtools.hxx>
+#include <basegfx/numeric/ftools.hxx>
+#include <basegfx/tuple/b2dtuple.hxx>
+#include <basegfx/range/b2drange.hxx>
+
+namespace basegfx
+{
+class b2dhommatrix : public CppUnit::TestFixture
+{
+private:
+    B2DHomMatrix maIdentity;
+    B2DHomMatrix maScale;
+    B2DHomMatrix maTranslate;
+    B2DHomMatrix maShear;
+    B2DHomMatrix maAffine;
+    B2DHomMatrix maPerspective;
+
+public:
+    // initialise your test code values here.
+    void setUp() override
+    {
+        // setup some test matrices
+        maIdentity.identity(); // force compact layout
+        maIdentity.set(0, 0, 1.0);
+        maIdentity.set(0, 1, 0.0);
+        maIdentity.set(0, 2, 0.0);
+        maIdentity.set(1, 0, 0.0);
+        maIdentity.set(1, 1, 1.0);
+        maIdentity.set(1, 2, 0.0);
+
+        maScale.identity(); // force compact layout
+        maScale.set(0, 0, 2.0);
+        maScale.set(1, 1, 20.0);
+
+        maTranslate.identity(); // force compact layout
+        maTranslate.set(0, 2, 20.0);
+        maTranslate.set(1, 2, 2.0);
+
+        maShear.identity(); // force compact layout
+        maShear.set(0, 1, 3.0);
+        maShear.set(1, 0, 7.0);
+        maShear.set(1, 1, 22.0);
+
+        maAffine.identity(); // force compact layout
+        maAffine.set(0, 0, 1.0);
+        maAffine.set(0, 1, 2.0);
+        maAffine.set(0, 2, 3.0);
+        maAffine.set(1, 0, 4.0);
+        maAffine.set(1, 1, 5.0);
+        maAffine.set(1, 2, 6.0);
+
+        maPerspective.set(0, 0, 1.0);
+        maPerspective.set(0, 1, 2.0);
+        maPerspective.set(0, 2, 3.0);
+        maPerspective.set(1, 0, 4.0);
+        maPerspective.set(1, 1, 5.0);
+        maPerspective.set(1, 2, 6.0);
+        maPerspective.set(2, 0, 7.0);
+        maPerspective.set(2, 1, 8.0);
+        maPerspective.set(2, 2, 9.0);
+    }
+
+    void equal()
+    {
+        B2DHomMatrix aIdentity;
+        B2DHomMatrix aScale;
+        B2DHomMatrix aTranslate;
+        B2DHomMatrix aShear;
+        B2DHomMatrix aAffine;
+        B2DHomMatrix aPerspective;
+
+        // setup some test matrices
+        aIdentity.identity(); // force compact layout
+        aIdentity.set(0, 0, 1.0);
+        aIdentity.set(0, 1, 0.0);
+        aIdentity.set(0, 2, 0.0);
+        aIdentity.set(1, 0, 0.0);
+        aIdentity.set(1, 1, 1.0);
+        aIdentity.set(1, 2, 0.0);
+
+        aScale.identity(); // force compact layout
+        aScale.set(0, 0, 2.0);
+        aScale.set(1, 1, 20.0);
+
+        aTranslate.identity(); // force compact layout
+        aTranslate.set(0, 2, 20.0);
+        aTranslate.set(1, 2, 2.0);
+
+        aShear.identity(); // force compact layout
+        aShear.set(0, 1, 3.0);
+        aShear.set(1, 0, 7.0);
+        aShear.set(1, 1, 22.0);
+
+        aAffine.identity(); // force compact layout
+        aAffine.set(0, 0, 1.0);
+        aAffine.set(0, 1, 2.0);
+        aAffine.set(0, 2, 3.0);
+        aAffine.set(1, 0, 4.0);
+        aAffine.set(1, 1, 5.0);
+        aAffine.set(1, 2, 6.0);
+
+        aPerspective.set(0, 0, 1.0);
+        aPerspective.set(0, 1, 2.0);
+        aPerspective.set(0, 2, 3.0);
+        aPerspective.set(1, 0, 4.0);
+        aPerspective.set(1, 1, 5.0);
+        aPerspective.set(1, 2, 6.0);
+        aPerspective.set(2, 0, 7.0);
+        aPerspective.set(2, 1, 8.0);
+        aPerspective.set(2, 2, 9.0);
+
+        CPPUNIT_ASSERT_MESSAGE("operator==: identity matrix", aIdentity.operator==(maIdentity));
+        CPPUNIT_ASSERT_MESSAGE("operator==: scale matrix", aScale.operator==(maScale));
+        CPPUNIT_ASSERT_MESSAGE("operator==: translate matrix", aTranslate.operator==(maTranslate));
+        CPPUNIT_ASSERT_MESSAGE("operator==: shear matrix", aShear.operator==(maShear));
+        CPPUNIT_ASSERT_MESSAGE("operator==: affine matrix", aAffine.operator==(maAffine));
+        CPPUNIT_ASSERT_MESSAGE("operator==: perspective matrix",
+                               aPerspective.operator==(maPerspective));
+    }
+
+    void identity()
+    {
+        B2DHomMatrix ident;
+
+        CPPUNIT_ASSERT_EQUAL_MESSAGE("identity", maIdentity, ident);
+    }
+
+    void scale()
+    {
+        B2DHomMatrix mat;
+        mat.scale(2.0, 20.0);
+        CPPUNIT_ASSERT_EQUAL_MESSAGE("scale", maScale, mat);
+    }
+
+    void rotate()
+    {
+        B2DHomMatrix mat;
+        mat.rotate(M_PI_2);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate pi/2 yields exact matrix", 0.0, mat.get(0, 0),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate pi/2 yields exact matrix", -1.0, mat.get(0, 1),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate pi/2 yields exact matrix", 0.0, mat.get(0, 2),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate pi/2 yields exact matrix", 1.0, mat.get(1, 0),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate pi/2 yields exact matrix", 0.0, mat.get(1, 1),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate pi/2 yields exact matrix", 0.0, mat.get(1, 2),
+                                             1E-12);
+        mat.rotate(M_PI_2);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate pi yields exact matrix", -1.0, mat.get(0, 0),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate pi yields exact matrix", 0.0, mat.get(0, 1),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate pi yields exact matrix", 0.0, mat.get(0, 2),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate pi yields exact matrix", 0.0, mat.get(1, 0),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate pi yields exact matrix", -1.0, mat.get(1, 1),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate pi yields exact matrix", 0.0, mat.get(1, 2),
+                                             1E-12);
+        mat.rotate(M_PI_2);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate 3/2 pi yields exact matrix", 0.0,
+                                             mat.get(0, 0), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate 3/2 pi yields exact matrix", 1.0,
+                                             mat.get(0, 1), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate 3/2 pi yields exact matrix", 0.0,
+                                             mat.get(0, 2), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate 3/2 pi yields exact matrix", -1.0,
+                                             mat.get(1, 0), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate 3/2 pi yields exact matrix", 0.0,
+                                             mat.get(1, 1), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate 3/2 pi yields exact matrix", 0.0,
+                                             mat.get(1, 2), 1E-12);
+        mat.rotate(M_PI_2);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate 2 pi yields exact matrix", 1.0, mat.get(0, 0),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate 2 pi yields exact matrix", 0.0, mat.get(0, 1),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate 2 pi yields exact matrix", 0.0, mat.get(0, 2),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate 2 pi yields exact matrix", 0.0, mat.get(1, 0),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate 2 pi yields exact matrix", 1.0, mat.get(1, 1),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("rotate 2 pi yields exact matrix", 0.0, mat.get(1, 2),
+                                             1E-12);
+    }
+
+    void translate()
+    {
+        B2DHomMatrix mat;
+        mat.translate(20.0, 2.0);
+        CPPUNIT_ASSERT_EQUAL_MESSAGE("translate", maTranslate, mat);
+    }
+
+    void shear()
+    {
+        B2DHomMatrix mat;
+        mat.shearX(3.0);
+        mat.shearY(7.0);
+        CPPUNIT_ASSERT_EQUAL_MESSAGE("translate", maShear, mat);
+    }
+
+    void multiply()
+    {
+        B2DHomMatrix affineAffineProd;
+
+        affineAffineProd.set(0, 0, 9);
+        affineAffineProd.set(0, 1, 12);
+        affineAffineProd.set(0, 2, 18);
+        affineAffineProd.set(1, 0, 24);
+        affineAffineProd.set(1, 1, 33);
+        affineAffineProd.set(1, 2, 48);
+
+        B2DHomMatrix affinePerspectiveProd;
+
+        affinePerspectiveProd.set(0, 0, 30);
+        affinePerspectiveProd.set(0, 1, 36);
+        affinePerspectiveProd.set(0, 2, 42);
+        affinePerspectiveProd.set(1, 0, 66);
+        affinePerspectiveProd.set(1, 1, 81);
+        affinePerspectiveProd.set(1, 2, 96);
+        affinePerspectiveProd.set(2, 0, 7);
+        affinePerspectiveProd.set(2, 1, 8);
+        affinePerspectiveProd.set(2, 2, 9);
+
+        B2DHomMatrix perspectiveAffineProd;
+
+        perspectiveAffineProd.set(0, 0, 9);
+        perspectiveAffineProd.set(0, 1, 12);
+        perspectiveAffineProd.set(0, 2, 18);
+        perspectiveAffineProd.set(1, 0, 24);
+        perspectiveAffineProd.set(1, 1, 33);
+        perspectiveAffineProd.set(1, 2, 48);
+        perspectiveAffineProd.set(2, 0, 39);
+        perspectiveAffineProd.set(2, 1, 54);
+        perspectiveAffineProd.set(2, 2, 78);
+
+        B2DHomMatrix perspectivePerspectiveProd;
+
+        perspectivePerspectiveProd.set(0, 0, 30);
+        perspectivePerspectiveProd.set(0, 1, 36);
+        perspectivePerspectiveProd.set(0, 2, 42);
+        perspectivePerspectiveProd.set(1, 0, 66);
+        perspectivePerspectiveProd.set(1, 1, 81);
+        perspectivePerspectiveProd.set(1, 2, 96);
+        perspectivePerspectiveProd.set(2, 0, 102);
+        perspectivePerspectiveProd.set(2, 1, 126);
+        perspectivePerspectiveProd.set(2, 2, 150);
+
+        B2DHomMatrix temp;
+
+        temp = maAffine;
+        temp *= maAffine;
+        CPPUNIT_ASSERT_EQUAL_MESSAGE("multiply: both compact", affineAffineProd, temp);
+
+        temp = maPerspective;
+        temp *= maAffine;
+        CPPUNIT_ASSERT_EQUAL_MESSAGE("multiply: first compact", affinePerspectiveProd, temp);
+
+        temp = maAffine;
+        temp *= maPerspective;
+        CPPUNIT_ASSERT_EQUAL_MESSAGE("multiply: second compact", perspectiveAffineProd, temp);
+
+        temp = maPerspective;
+        temp *= maPerspective;
+        CPPUNIT_ASSERT_EQUAL_MESSAGE("multiply: none compact", perspectivePerspectiveProd, temp);
+    }
+
+    void impFillMatrix(B2DHomMatrix& rSource, double fScaleX, double fScaleY, double fShearX,
+                       double fRotate) const
+    {
+        // fill rSource with a linear combination of scale, shear and rotate
+        rSource.identity();
+        rSource.scale(fScaleX, fScaleY);
+        rSource.shearX(fShearX);
+        rSource.rotate(fRotate);
+    }
+
+    bool impDecomposeComposeTest(double fScaleX, double fScaleY, double fShearX,
+                                 double fRotate) const
+    {
+        // linear combine matrix with given values
+        B2DHomMatrix aSource;
+        impFillMatrix(aSource, fScaleX, fScaleY, fShearX, fRotate);
+
+        // decompose that matrix
+        B2DTuple aDScale;
+        B2DTuple aDTrans;
+        double fDRot;
+        double fDShX;
+        bool bWorked = aSource.decompose(aDScale, aDTrans, fDRot, fDShX);
+
+        // linear combine another matrix with decomposition results
+        B2DHomMatrix aRecombined;
+        impFillMatrix(aRecombined, aDScale.getX(), aDScale.getY(), fDShX, fDRot);
+
+        // if decomposition worked, matrices need to be the same
+        return bWorked && aSource == aRecombined;
+    }
+
+    void decompose()
+    {
+        // test matrix decompositions. Each matrix decomposed and rebuilt
+        // using the decompose result should be the same as before. Test
+        // with all ranges of values. Translations are not tested since these
+        // are just the two rightmost values and uncritical
+        static const double fSX(10.0);
+        static const double fSY(12.0);
+        static const double fR(M_PI_4);
+        static const double fS(deg2rad(15.0));
+
+        // check all possible scaling combinations
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test A1",
+                               impDecomposeComposeTest(fSX, fSY, 0.0, 0.0));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test A2",
+                               impDecomposeComposeTest(-fSX, fSY, 0.0, 0.0));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test A3",
+                               impDecomposeComposeTest(fSX, -fSY, 0.0, 0.0));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test A4",
+                               impDecomposeComposeTest(-fSX, -fSY, 0.0, 0.0));
+
+        // check all possible scaling combinations with positive rotation
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test B1",
+                               impDecomposeComposeTest(fSX, fSY, 0.0, fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test B2",
+                               impDecomposeComposeTest(-fSX, fSY, 0.0, fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test B3",
+                               impDecomposeComposeTest(fSX, -fSY, 0.0, fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test B4",
+                               impDecomposeComposeTest(-fSX, -fSY, 0.0, fR));
+
+        // check all possible scaling combinations with negative rotation
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test C1",
+                               impDecomposeComposeTest(fSX, fSY, 0.0, -fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test C2",
+                               impDecomposeComposeTest(-fSX, fSY, 0.0, -fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test C3",
+                               impDecomposeComposeTest(fSX, -fSY, 0.0, -fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test C4",
+                               impDecomposeComposeTest(-fSX, -fSY, 0.0, -fR));
+
+        // check all possible scaling combinations with positive shear
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test D1",
+                               impDecomposeComposeTest(fSX, fSY, tan(fS), 0.0));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test D2",
+                               impDecomposeComposeTest(-fSX, fSY, tan(fS), 0.0));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test D3",
+                               impDecomposeComposeTest(fSX, -fSY, tan(fS), 0.0));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test D4",
+                               impDecomposeComposeTest(-fSX, -fSY, tan(fS), 0.0));
+
+        // check all possible scaling combinations with negative shear
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test E1",
+                               impDecomposeComposeTest(fSX, fSY, tan(-fS), 0.0));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test E2",
+                               impDecomposeComposeTest(-fSX, fSY, tan(-fS), 0.0));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test E3",
+                               impDecomposeComposeTest(fSX, -fSY, tan(-fS), 0.0));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test E4",
+                               impDecomposeComposeTest(-fSX, -fSY, tan(-fS), 0.0));
+
+        // check all possible scaling combinations with positive rotate and positive shear
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test F1",
+                               impDecomposeComposeTest(fSX, fSY, tan(fS), fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test F2",
+                               impDecomposeComposeTest(-fSX, fSY, tan(fS), fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test F3",
+                               impDecomposeComposeTest(fSX, -fSY, tan(fS), fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test F4",
+                               impDecomposeComposeTest(-fSX, -fSY, tan(fS), fR));
+
+        // check all possible scaling combinations with negative rotate and positive shear
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test G1",
+                               impDecomposeComposeTest(fSX, fSY, tan(fS), -fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test G2",
+                               impDecomposeComposeTest(-fSX, fSY, tan(fS), -fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test G3",
+                               impDecomposeComposeTest(fSX, -fSY, tan(fS), -fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test G4",
+                               impDecomposeComposeTest(-fSX, -fSY, tan(fS), -fR));
+
+        // check all possible scaling combinations with positive rotate and negative shear
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test H1",
+                               impDecomposeComposeTest(fSX, fSY, tan(-fS), fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test H2",
+                               impDecomposeComposeTest(-fSX, fSY, tan(-fS), fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test H3",
+                               impDecomposeComposeTest(fSX, -fSY, tan(-fS), fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test H4",
+                               impDecomposeComposeTest(-fSX, -fSY, tan(-fS), fR));
+
+        // check all possible scaling combinations with negative rotate and negative shear
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test I1",
+                               impDecomposeComposeTest(fSX, fSY, tan(-fS), -fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test I2",
+                               impDecomposeComposeTest(-fSX, fSY, tan(-fS), -fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test I3",
+                               impDecomposeComposeTest(fSX, -fSY, tan(-fS), -fR));
+        CPPUNIT_ASSERT_MESSAGE("decompose: error test I4",
+                               impDecomposeComposeTest(-fSX, -fSY, tan(-fS), -fR));
+
+        // cover special case of 180 degree rotation
+        B2DHomMatrix aTest
+            = utils::createScaleShearXRotateTranslateB2DHomMatrix(6425, 3938, 0, M_PI, 10482, 4921);
+        // decompose that matrix
+        B2DTuple aDScale;
+        B2DTuple aDTrans;
+        double fDRot;
+        double fDShX;
+        aTest.decompose(aDScale, aDTrans, fDRot, fDShX);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("decompose: error test J1", 6425.0, aDScale.getX(),
+                                             1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("decompose: error test J1", 3938.0, aDScale.getY(),
+                                             1E-12);
+        CPPUNIT_ASSERT_EQUAL_MESSAGE("decompose: error test J1", 10482.0, aDTrans.getX());
+        CPPUNIT_ASSERT_EQUAL_MESSAGE("decompose: error test J1", 4921.0, aDTrans.getY());
+        CPPUNIT_ASSERT_DOUBLES_EQUAL_MESSAGE("decompose: error test J1", M_PI, fDRot, 1E-12);
+    }
+
+    void testCreate_abcdef()
+    {
+        B2DHomMatrix aB2DMatrix(00, 01, 02, 10, 11, 12);
+
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(00, aB2DMatrix.a(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(10, aB2DMatrix.b(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(01, aB2DMatrix.c(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(11, aB2DMatrix.d(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(02, aB2DMatrix.e(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(12, aB2DMatrix.f(), 1E-12);
+
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(aB2DMatrix.get(0, 0), aB2DMatrix.a(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(aB2DMatrix.get(1, 0), aB2DMatrix.b(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(aB2DMatrix.get(0, 1), aB2DMatrix.c(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(aB2DMatrix.get(1, 1), aB2DMatrix.d(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(aB2DMatrix.get(0, 2), aB2DMatrix.e(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(aB2DMatrix.get(1, 2), aB2DMatrix.f(), 1E-12);
+    }
+
+    void testMultiplyWithAnotherMatrix()
+    {
+        B2DHomMatrix aB2DMatrix(00, 01, 02, 10, 11, 12);
+        B2DHomMatrix aNewB2DMatrix = B2DHomMatrix::abcdef(1, 2, 3, 4, 5, 6);
+
+        aB2DMatrix *= aNewB2DMatrix;
+
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(30, aB2DMatrix.get(0, 0), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(40, aB2DMatrix.get(1, 0), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(34, aB2DMatrix.get(0, 1), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(46, aB2DMatrix.get(1, 1), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(43, aB2DMatrix.get(0, 2), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(58, aB2DMatrix.get(1, 2), 1E-12);
+    }
+
+    void testTransformPoint()
+    {
+        B2DHomMatrix aNewB2DMatrix = B2DHomMatrix::abcdef(1, 2, 3, 4, 5, 6);
+
+        B2DPoint aPoint(1, 2);
+        aPoint *= aNewB2DMatrix;
+
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(12, aPoint.getX(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(16, aPoint.getY(), 1E-12);
+    }
+
+    void testTransformRange()
+    {
+        B2DHomMatrix aNewB2DMatrix = B2DHomMatrix::abcdef(1, 2, 3, 4, 5, 6);
+
+        B2DRange aRange(2, 1, 4, 3);
+        aRange *= aNewB2DMatrix;
+
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(10, aRange.getMinX(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(18, aRange.getMaxX(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(14, aRange.getMinY(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(26, aRange.getMaxY(), 1E-12);
+    }
+
+    void testCoordinateSystemConversion()
+    {
+        // Use case when we convert
+
+        B2DRange aWindow(50, 50, 150, 150);
+
+        B2DRange aSubPage(0, 0, 2000, 2000);
+
+        B2DHomMatrix aB2DMatrix;
+        aB2DMatrix.scale(aWindow.getWidth() / aSubPage.getWidth(),
+                         aWindow.getHeight() / aSubPage.getHeight());
+        aB2DMatrix.translate(aWindow.getMinX(), aWindow.getMinY());
+
+        B2DPoint aPoint1(0, 0);
+        aPoint1 *= aB2DMatrix;
+
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(50, aPoint1.getX(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(50, aPoint1.getY(), 1E-12);
+
+        B2DPoint aPoint2(1000, 1000);
+        aPoint2 *= aB2DMatrix;
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(100, aPoint2.getX(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(100, aPoint2.getY(), 1E-12);
+
+        B2DPoint aPoint3(2000, 2000);
+        aPoint3 *= aB2DMatrix;
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(150, aPoint3.getX(), 1E-12);
+        CPPUNIT_ASSERT_DOUBLES_EQUAL(150, aPoint3.getY(), 1E-12);
+    }
+
+    // Change the following lines only, if you add, remove or rename
+    // member functions of the current class,
+    // because these macros are need by auto register mechanism.
+
+    CPPUNIT_TEST_SUITE(b2dhommatrix);
+    CPPUNIT_TEST(equal);
+    CPPUNIT_TEST(identity);
+    CPPUNIT_TEST(scale);
+    CPPUNIT_TEST(translate);
+    CPPUNIT_TEST(rotate);
+    CPPUNIT_TEST(shear);
+    CPPUNIT_TEST(multiply);
+    CPPUNIT_TEST(decompose);
+    CPPUNIT_TEST(testCreate_abcdef);
+    CPPUNIT_TEST(testMultiplyWithAnotherMatrix);
+    CPPUNIT_TEST(testTransformPoint);
+    CPPUNIT_TEST(testTransformRange);
+    CPPUNIT_TEST(testCoordinateSystemConversion);
+
+    CPPUNIT_TEST_SUITE_END();
+
+}; // class b2dhommatrix
+}
+
+CPPUNIT_TEST_SUITE_REGISTRATION(basegfx::b2dhommatrix);
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */