path: root/basegfx/test/B2DHomMatrixTest.cxx

/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
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 *
 * 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
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 *   ownership. The ASF licenses this file to you under the Apache
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 *   except in compliance with the License. You may obtain a copy of
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#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);

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