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diff --git a/basegfx/test/B2DHomMatrixTest.cxx b/basegfx/test/B2DHomMatrixTest.cxx
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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 <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: */