path: root/basegfx/test/basegfx2d.cxx

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// MARKER(update_precomp.py): autogen include statement, do not remove
#include "precompiled_basegfx.hxx"
// autogenerated file with codegen.pl

#include <testshl/simpleheader.hxx>

#include <basegfx/matrix/b2dhommatrix.hxx>
#include <basegfx/polygon/b2dpolygon.hxx>
#include <basegfx/polygon/b2dpolygontools.hxx>
#include <basegfx/curve/b2dcubicbezier.hxx>
#include <basegfx/curve/b2dbeziertools.hxx>
#include <basegfx/polygon/b2dpolypolygontools.hxx>
#include <basegfx/range/b2dmultirange.hxx>
#include <basegfx/numeric/ftools.hxx>
#include <basegfx/color/bcolor.hxx>
#include <basegfx/color/bcolortools.hxx>

#include <basegfx/tools/debugplotter.hxx>

#include <iostream>
#include <fstream>

using namespace ::basegfx;


namespace basegfx2d
{
/// Gets a random ordinal [0,n)
inline double getRandomOrdinal( const ::std::size_t n )
{
    return double(n) * rand() / (RAND_MAX + 1.0);
}

class b2dmultirange : public CppUnit::TestFixture
{
private:
    B2DMultiRange aDisjunctRanges;
    B2DMultiRange aEqualRanges;
    B2DMultiRange aIntersectionN;
    B2DMultiRange aIntersectionE;
    B2DMultiRange aIntersectionS;
    B2DMultiRange aIntersectionW;
    B2DMultiRange aIntersectionNE;
    B2DMultiRange aIntersectionSE;
    B2DMultiRange aIntersectionSW;
    B2DMultiRange aIntersectionNW;
    B2DMultiRange aRingIntersection;
    B2DMultiRange aComplexIntersections;
    B2DMultiRange aRandomIntersections;

public:
    // initialise your test code values here.
    void setUp()
    {
        B2DRange aCenter(1.0, 1.0, -1.0, -1.0);
        B2DRange aOffside(9.0, 9.0, 11.0, 11.0);
        B2DRange aNorth(1.0, 0.0, -1.0, -2.0);
        B2DRange aSouth(1.0, 2.0, -1.0, 0.0);
        B2DRange aEast(0.0, 1.0, 2.0, -1.0);
        B2DRange aWest(-2.0, 1.0, 0.0, -1.0);
        B2DRange aNorthEast(0.0, 0.0, 2.0, -2.0);
        B2DRange aSouthEast(0.0, 0.0, 2.0, 2.0);
        B2DRange aSouthWest(0.0, 0.0, -2.0, 2.0);
        B2DRange aNorthWest(0.0, 0.0, -2.0, -2.0);

        B2DRange aNorth2(-1.5, 0.5,  1.5,  3.5);
        B2DRange aSouth2(-1.5, -0.5, 1.5, -3.5);
        B2DRange aEast2 (0.5,  -1.5, 3.5,  1.5);
        B2DRange aWest2 (-0.5, -1.5,-3.5,  1.5);

        ::std::ofstream output("multirange_testcases.gnuplot");
        DebugPlotter aPlotter( "multirange testcases",
                               output );

        aPlotter.plot( aCenter, "center" );
        aPlotter.plot( aOffside, "offside" );
        aPlotter.plot( aNorth, "north" );
        aPlotter.plot( aSouth, "south" );
        aPlotter.plot( aEast, "east" );
        aPlotter.plot( aWest, "west" );
        aPlotter.plot( aNorthEast, "northeast" );
        aPlotter.plot( aSouthEast, "southeast" );
        aPlotter.plot( aSouthWest, "southwest" );
        aPlotter.plot( aNorthWest, "northwest" );

        aDisjunctRanges.addRange( aCenter );
        aDisjunctRanges.addRange( aOffside );

        aEqualRanges.addRange( aCenter );
        aEqualRanges.addRange( aCenter );

        aIntersectionN.addRange( aCenter );
        aIntersectionN.addRange( aNorth );

        aIntersectionE.addRange( aCenter );
        aIntersectionE.addRange( aEast );

        aIntersectionS.addRange( aCenter );
        aIntersectionS.addRange( aSouth );

        aIntersectionW.addRange( aCenter );
        aIntersectionW.addRange( aWest );

        aIntersectionNE.addRange( aCenter );
        aIntersectionNE.addRange( aNorthEast );

        aIntersectionSE.addRange( aCenter );
        aIntersectionSE.addRange( aSouthEast );

        aIntersectionSW.addRange( aCenter );
        aIntersectionSW.addRange( aSouthWest );

        aIntersectionNW.addRange( aCenter );
        aIntersectionNW.addRange( aNorthWest );

        aRingIntersection.addRange( aNorth2 );
        aRingIntersection.addRange( aEast2 );
        aRingIntersection.addRange( aSouth2 );
        aRingIntersection.addRange( aWest2 );

        aComplexIntersections.addRange( aCenter );
        aComplexIntersections.addRange( aOffside );
        aComplexIntersections.addRange( aCenter );
        aComplexIntersections.addRange( aNorth );
        aComplexIntersections.addRange( aEast );
        aComplexIntersections.addRange( aSouth );
        aComplexIntersections.addRange( aWest );
        aComplexIntersections.addRange( aNorthEast );
        aComplexIntersections.addRange( aSouthEast );
        aComplexIntersections.addRange( aSouthWest );
        aComplexIntersections.addRange( aNorthWest );

/*
        for( int i=0; i<10; ++i )
        {
            B2DRange aRandomRange(
                getRandomOrdinal( 10 ),
                getRandomOrdinal( 10 ),
                getRandomOrdinal( 10 ),
                getRandomOrdinal( 10 ) );

            aRandomIntersections.addRange( aRandomRange );
        }
*/
    }

    void tearDown()
    {
    }

    ::basegfx::B2DPolyPolygon shiftPoly( int                                nCount,
                                         const ::basegfx::B2DPolyPolygon&   rPoly )
    {
        B2DHomMatrix aMatrix;
        aMatrix.translate( nCount*4.0,
                           10.0-nCount*2.0 );

        ::basegfx::B2DPolyPolygon aRes( rPoly );
        aRes.transform( aMatrix );

        return aRes;
    }

    void getPolyPolygon()
    {
        ::std::ofstream output("multirange_getpolypolygon.gnuplot");
        DebugPlotter aPlotter( "multirange getPolyPolygon",
                               output );

        B2DPolyPolygon result;

        aPlotter.plot( shiftPoly(
                           0,
                           aDisjunctRanges.getPolyPolygon() ),
                       "disjunct" );
        aPlotter.plot( shiftPoly(
                           1,
                           aEqualRanges.getPolyPolygon() ),
                       "equal" );
        aPlotter.plot( shiftPoly(
                           2,
                           aIntersectionN.getPolyPolygon() ),
                       "intersectionN" );
        aPlotter.plot( shiftPoly(
                           3,
                           aIntersectionE.getPolyPolygon() ),
                       "intersectionE" );
        aPlotter.plot( shiftPoly(
                           4,
                           aIntersectionS.getPolyPolygon() ),
                       "intersectionS" );
        aPlotter.plot( shiftPoly(
                           5,
                           aIntersectionW.getPolyPolygon() ),
                       "intersectionW" );
        aPlotter.plot( shiftPoly(
                           6,
                           aIntersectionNE.getPolyPolygon() ),
                       "intersectionNE" );
        aPlotter.plot( shiftPoly(
                           7,
                           aIntersectionSE.getPolyPolygon() ),
                       "intersectionSE" );
        aPlotter.plot( shiftPoly(
                           8,
                           aIntersectionSW.getPolyPolygon() ),
                       "intersectionSW" );
        aPlotter.plot( shiftPoly(
                           9,
                           aIntersectionNW.getPolyPolygon() ),
                       "intersectionNW" );
        aPlotter.plot( shiftPoly(
                           10,
                           aRingIntersection.getPolyPolygon() ),
                       "intersection ring" );
        aPlotter.plot( shiftPoly(
                           11,
                           aComplexIntersections.getPolyPolygon() ),
                       "intersection complex" );
        aPlotter.plot( shiftPoly(
                           12,
                           aRandomIntersections.getPolyPolygon() ),
                       "intersection random" );

        CPPUNIT_ASSERT_MESSAGE("getPolyPolygon", true );
    }

    // 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(b2dmultirange);
    CPPUNIT_TEST(getPolyPolygon);
    CPPUNIT_TEST_SUITE_END();
}; // class b2dmultirange

class b2dsvgdimpex : public CppUnit::TestFixture
{
private:
    ::rtl::OUString aPath0;
    ::rtl::OUString aPath1;
    ::rtl::OUString aPath2;
    ::rtl::OUString aPath3;

public:
    // initialise your test code values here.
    void setUp()
    {
        // simple rectangle
        aPath0 = ::rtl::OUString::createFromAscii(
            "M 10 10-10 10-10-10 10-10Z" );

        // simple bezier polygon
        aPath1 = ::rtl::OUString::createFromAscii(
            "m11430 0c-8890 3810 5715 6985 5715 6985 "
            "0 0-17145-1905-17145-1905 0 0 22860-10160 "
            "16510 6350-6350 16510-3810-11430-3810-11430z" );

        // '@' as a bezier polygon
        aPath2 = ::rtl::OUString::createFromAscii(
            "m1917 1114c-89-189-233-284-430-284-167 "
            "0-306 91-419 273-113 182-170 370-170 564 "
            "0 145 33 259 98 342 65 84 150 126 257 126 "
            "77 0 154-19 231-57 77-38 147-97 210-176 63"
            "-79 99-143 109-190 38-199 76-398 114-598z"
            "m840 1646c-133 73-312 139-537 197-225 57"
            "-440 86-644 87-483-1-866-132-1150-392-284"
            "-261-426-619-426-1076 0-292 67-560 200-803 "
            "133-243 321-433 562-569 241-136 514-204 821"
            "-204 405 0 739 125 1003 374 264 250 396 550 "
            "396 899 0 313-88 576-265 787-177 212-386 318"
            "-627 318-191 0-308-94-352-281-133 187-315 281"
            "-546 281-172 0-315-67-428-200-113-133-170-301"
            "-170-505 0-277 90-527 271-751 181-223 394"
            "-335 640-335 196 0 353 83 470 250 13-68 26"
            "-136 41-204 96 0 192 0 288 0-74 376-148 752"
            "-224 1128-21 101-31 183-31 245 0 39 9 70 26 "
            "93 17 24 39 36 67 36 145 0 279-80 400-240 121"
            "-160 182-365 182-615 0-288-107-533-322-734"
            "-215-201-487-301-816-301-395 0-715 124-960 "
            "373-245 249-368 569-368 958 0 385 119 685 "
            "357 900 237 216 557 324 958 325 189-1 389-27 "
            "600-77 211-52 378-110 503-174 27 70 54 140 81 210z" );

        // first part of 'Hello World' as a line polygon
        aPath3 = ::rtl::OUString::createFromAscii(
            "m1598 125h306v2334h-306v-1105h-1293v1105h-305v"
            "-2334h305v973h1293zm2159 1015 78-44 85 235-91 "
            "47-91 40-90 34-90 29-89 21-88 16-88 10-88 3-102"
            "-4-97-12-91-19-85-26-40-16-39-18-38-20-36-22-34"
            "-24-33-26-32-27-30-30-29-31-27-33-25-33-23-36-21"
            "-36-19-38-18-40-16-40-26-86-18-91-11-97-4-103 3"
            "-98 11-94 17-89 24-84 31-79 37-75 22-35 23-34 24"
            "-33 27-32 28-30 29-28 31-27 31-24 33-22 34-21 35"
            "-18 37-17 38-14 38-13 41-11 41-8 86-12 91-4 82 4 "
            "78 10 37 9 37 9 36 12 35 14 33 15 33 17 32 19 31 "
            "21 30 22 30 25 55 54 26 29 24 31 22 32 21 33 19 "
            "34 18 36 30 74 23 80 17 84 10 89 3 94v78h-1277l6 "
            "75 10 70 14 66 19 62 23 57 13 26 14 26 15 25 17 "
            "23 17 22 19 21 19 20 21 18 21 18 23 16 23 14 24 "
            "14 26 12 26 11 27 10 28 8 59 13 63 7 67 3 80-3 81"
            "-9 79-14 80-21 78-26 79-32zm-1049-808-12 53h963l"
            "-7-51-11-49-14-46-17-43-21-40-24-38-27-36-31-32"
            "-33-29-35-25-37-22-38-17-40-14-41-9-42-6-44-2-48 "
            "2-46 6-44 9-42 13-40 17-38 21-36 24-34 28-32 32"
            "-29 34-26 38-23 41-20 44-17 47zm1648-1293h288v"
            "2459h-288zm752-2459h288v2459h-288zm1286-1750 86-11 "
            "91-4 91 4 85 12 42 8 39 11 39 13 38 14 36 17 35 18 "
            "34 20 33 23 31 24 30 26 29 28 28 30 26 32 25 33 23 "
            "34 21 35 37 75 31 80 24 84 16 90 11 94 3 100-3 100"
            "-11 95-16 89-24 85-31 80-37 74-21 35-23 35-25 32-26 "
            "32-28 30-29 28-30 26-31 24-33 22-34 21-35 18-36 17"
            "-38 14-39 13-39 10-42 9-85 12-91 4-91-4-86-12-41-9"
            "-40-10-39-13-37-14-36-17-35-18-34-21-33-22-31-24-30"
            "-26-29-28-28-30-26-32-25-32-23-35-21-35-38-74-30-80"
            "-24-85-17-89-11-95-3-100 3-101 11-95 17-90 24-85 30"
            "-79 38-75 21-35 23-35 25-32 26-32 28-30 29-28 30-26 "
            "31-24 33-22 34-20 35-18 36-16 37-15 39-12 40-11z" );
    }

    void tearDown()
    {
    }

    void impex()
    {
        B2DPolyPolygon  aPoly;
        ::rtl::OUString aExport;

        CPPUNIT_ASSERT_MESSAGE("importing simple rectangle from SVG-D",
                               tools::importFromSvgD( aPoly,
                                                      aPath0 ));
        aExport = tools::exportToSvgD( aPoly );
        const char* sExportString = "m10 10h-20v-20h20z";
        CPPUNIT_ASSERT_MESSAGE("exporting rectangle to SVG-D",
                               !aExport.compareToAscii(sExportString) );
        CPPUNIT_ASSERT_MESSAGE("importing simple rectangle from SVG-D (round-trip",
                               tools::importFromSvgD( aPoly,
                                                      aExport ));
        aExport = tools::exportToSvgD( aPoly );
        CPPUNIT_ASSERT_MESSAGE("exporting rectangle to SVG-D (round-trip)",
                               !aExport.compareToAscii(sExportString));

        CPPUNIT_ASSERT_MESSAGE("importing simple bezier polygon from SVG-D",
                               tools::importFromSvgD( aPoly,
                                                      aPath1 ));
        aExport = tools::exportToSvgD( aPoly );

        // Adaptions for B2DPolygon bezier change (see #i77162#):
        //
        // The import/export of aPath1 does not reproduce aExport again. This is
        // correct since aPath1 contains a segment with non-used control points
        // which gets exported now correctly as 'l' and also a point (#4, index 3)
        // with C2 continuity which produces a 's' staement now.
        //
        // The old SVGexport identified nun-used ControlVectors erraneously as bezier segments
        // because the 2nd vector at the start point was used, even when added
        // with start point was identical to end point. Exactly for that reason
        // i reworked the B2DPolygon to use prev, next control points.
        //
        // so for correct unit test i add the new exported string here as sExportStringSimpleBezier
        // and compare to it.
        const char* sExportStringSimpleBezier =
            "m11430 0c-8890 3810 5715 6985 5715 6985"
            "l-17145-1905c0 0 22860-10160 16510 6350"
            "s-3810-11430-3810-11430z";
        CPPUNIT_ASSERT_MESSAGE("exporting bezier polygon to SVG-D", !aExport.compareToAscii(sExportStringSimpleBezier));

        // Adaptions for B2DPolygon bezier change (see #i77162#):
        //
        // a 2nd good test is that re-importing of aExport has to create the same
        // B2DPolPolygon again:
        B2DPolyPolygon aReImport;
        CPPUNIT_ASSERT_MESSAGE("importing simple bezier polygon from SVG-D", tools::importFromSvgD( aReImport, aExport));
        CPPUNIT_ASSERT_MESSAGE("re-imported polygon needs to be identical", aReImport == aPoly);

        CPPUNIT_ASSERT_MESSAGE("importing '@' from SVG-D", tools::importFromSvgD( aPoly, aPath2 ));
        aExport = tools::exportToSvgD( aPoly );

        // Adaptions for B2DPolygon bezier change (see #i77162#):
        //
        // same here, the corrected export with the corrected B2DPolygon is simply more efficient,
        // so i needed to change the compare string. Also adding the re-import comparison below.
        const char* sExportString1 =
            "m1917 1114c-89-189-233-284-430-284-167 0-306 91-419 273s-170 370-17"
            "0 564c0 145 33 259 98 342 65 84 150 126 257 126q115.5 0 231-57s147-97 210-176 99-143 109-190c38-199 76-398 114"
            "-598zm840 1646c-133 73-312 139-537 197-225 57-440 86-644 87-483-1-866-132-1150-392-284-261-426-619-426-1076 0-"
            "292 67-560 200-803s321-433 562-569 514-204 821-204c405 0 739 125 1003 374 264 250 396 550 396 899 0 313-88 576"
            "-265 787q-265.5 318-627 318c-191 0-308-94-352-281-133 187-315 281-546 281-172 0-315-67-428-200s-170-301-170-50"
            "5c0-277 90-527 271-751 181-223 394-335 640-335 196 0 353 83 470 250 13-68 26-136 41-204q144 0 288 0c-74 376-14"
            "8 752-224 1128-21 101-31 183-31 245 0 39 9 70 26 93 17 24 39 36 67 36 145 0 279-80 400-240s182-365 182-615c0-2"
            "88-107-533-322-734s-487-301-816-301c-395 0-715 124-960 373s-368 569-368 958q0 577.5 357 900c237 216 557 324 95"
            "8 325 189-1 389-27 600-77 211-52 378-110 503-174q40.5 105 81 210z";
        CPPUNIT_ASSERT_MESSAGE("re-importing '@' from SVG-D", tools::importFromSvgD( aReImport, aExport));
        CPPUNIT_ASSERT_MESSAGE("re-imported '@' needs to be identical", aReImport == aPoly);

        CPPUNIT_ASSERT_MESSAGE("exporting '@' to SVG-D", !aExport.compareToAscii(sExportString1));
        CPPUNIT_ASSERT_MESSAGE("importing '@' from SVG-D (round-trip",
                               tools::importFromSvgD( aPoly,
                                                      aExport ));
        aExport = tools::exportToSvgD( aPoly );
        CPPUNIT_ASSERT_MESSAGE("exporting '@' to SVG-D (round-trip)",
                               !aExport.compareToAscii(sExportString1));


        CPPUNIT_ASSERT_MESSAGE("importing complex polygon from SVG-D",
                               tools::importFromSvgD( aPoly,
                                                      aPath3 ));
        aExport = tools::exportToSvgD( aPoly );
        const char* sExportString2 =
            "m1598 125h306v2334h-306v-1105h-1293v1105h-305v-2334h305v973h1293"
            "zm2159 1015 78-44 85 235-91 47-91 40-90 34-90 29-89 21-88 16-88 10-88 3-102-4-97"
            "-12-91-19-85-26-40-16-39-18-38-20-36-22-34-24-33-26-32-27-30-30-29-31-27-33-25-3"
            "3-23-36-21-36-19-38-18-40-16-40-26-86-18-91-11-97-4-103 3-98 11-94 17-89 24-84 3"
            "1-79 37-75 22-35 23-34 24-33 27-32 28-30 29-28 31-27 31-24 33-22 34-21 35-18 37-"
            "17 38-14 38-13 41-11 41-8 86-12 91-4 82 4 78 10 37 9 37 9 36 12 35 14 33 15 33 1"
            "7 32 19 31 21 30 22 30 25 55 54 26 29 24 31 22 32 21 33 19 34 18 36 30 74 23 80 "
            "17 84 10 89 3 94v78h-1277l6 75 10 70 14 66 19 62 23 57 13 26 14 26 15 25 17 23 1"
            "7 22 19 21 19 20 21 18 21 18 23 16 23 14 24 14 26 12 26 11 27 10 28 8 59 13 63 7"
            " 67 3 80-3 81-9 79-14 80-21 78-26 79-32zm-1049-808-12 53h963l-7-51-11-49-14-46-1"
            "7-43-21-40-24-38-27-36-31-32-33-29-35-25-37-22-38-17-40-14-41-9-42-6-44-2-48 2-4"
            "6 6-44 9-42 13-40 17-38 21-36 24-34 28-32 32-29 34-26 38-23 41-20 44-17 47zm1648"
            "-1293h288v2459h-288zm752-2459h288v2459h-288zm1286-1750 86-11 91-4 91 4 85 12 42 "
            "8 39 11 39 13 38 14 36 17 35 18 34 20 33 23 31 24 30 26 29 28 28 30 26 32 25 33 "
            "23 34 21 35 37 75 31 80 24 84 16 90 11 94 3 100-3 100-11 95-16 89-24 85-31 80-37"
            " 74-21 35-23 35-25 32-26 32-28 30-29 28-30 26-31 24-33 22-34 21-35 18-36 17-38 1"
            "4-39 13-39 10-42 9-85 12-91 4-91-4-86-12-41-9-40-10-39-13-37-14-36-17-35-18-34-2"
            "1-33-22-31-24-30-26-29-28-28-30-26-32-25-32-23-35-21-35-38-74-30-80-24-85-17-89-"
            "11-95-3-100 3-101 11-95 17-90 24-85 30-79 38-75 21-35 23-35 25-32 26-32 28-30 29"
            "-28 30-26 31-24 33-22 34-20 35-18 36-16 37-15 39-12 40-11z";
        CPPUNIT_ASSERT_MESSAGE("exporting complex polygon to SVG-D",
                               !aExport.compareToAscii(sExportString2));
        CPPUNIT_ASSERT_MESSAGE("importing complex polygon from SVG-D (round-trip",
                               tools::importFromSvgD( aPoly,
                                                      aExport ));
        aExport = tools::exportToSvgD( aPoly );
        CPPUNIT_ASSERT_MESSAGE("exporting complex polygon to SVG-D (round-trip)",
                               !aExport.compareToAscii(sExportString2));

        const B2DPolygon aCircle(
            tools::createPolygonFromEllipse( B2DPoint(4000,4000),
                                             1000.0, 2000.0 ));
        aExport = tools::exportToSvgD( B2DPolyPolygon(aCircle), false, false);

        // count number of spaces, in lieu of a better way - no real
        // point in comparing with a gold standard, as fractional
        // parts of the coordinates will differ between systems.
        sal_Int32 nIndex=0, nCount=0;
        do
        {
            rtl::OUString aToken = aExport.getToken( 0, ' ', nIndex );
            ++nCount;
        }
        while ( nIndex >= 0 );

        CPPUNIT_ASSERT_MESSAGE("exporting to circle does not produce the expected number of coordinates",
                               nCount==18);

        const B2DPolygon aRect(
            tools::createPolygonFromRect( B2DRange(0.0,0.0,4000.0,4000.0) ));
        aExport = tools::exportToSvgD( B2DPolyPolygon(aRect), false, false);

        const char* sExportStringRect = "M0 0H4000V4000H0Z";
        CPPUNIT_ASSERT_MESSAGE("exporting to rectangle svg-d string",
                               !aExport.compareToAscii(sExportStringRect));
    }

    // 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(b2dsvgdimpex);
    CPPUNIT_TEST(impex);
    CPPUNIT_TEST_SUITE_END();
}; // class b2dsvgdimpex

class b2dbeziertools : public CppUnit::TestFixture
{
private:
    B2DCubicBezier aHalfCircle;                     // not exactly, but a look-alike
    B2DCubicBezier aQuarterCircle;                  // not exactly, but a look-alike
    B2DCubicBezier aLoop;                           // identical endpoints, curve goes back to where it started
    B2DCubicBezier aStraightLineDistinctEndPoints;  // truly a line
    B2DCubicBezier aStraightLineDistinctEndPoints2; // truly a line, with slightly different control points
    B2DCubicBezier aStraightLineIdenticalEndPoints; // degenerate case of aLoop
    B2DCubicBezier aStraightLineIdenticalEndPoints2;// degenerate case of aLoop, with slightly different control points
    B2DCubicBezier aCrossing;                       // curve self-intersects somewhere in the middle
    B2DCubicBezier aCusp;                           // curve has a point of undefined tangency


public:
    // initialise your test code values here.
    void setUp()
    {
        const B2DPoint a00(0.0, 0.0);
        const B2DPoint a10(1.0, 0.0);
        const B2DPoint a11(1.0, 1.0);
        const B2DPoint a01(0.0, 1.0);
        const B2DPoint middle( 0.5, 0.5 );
        const B2DPoint quarterDown( 0.25, 0.25 );
        const B2DPoint quarterUp( 0.75, 0.75 );

        aHalfCircle     = B2DCubicBezier(a00, a01, a11, a10);

        // The spline control points become
        //
        //  (R * cos(A), R * sin(A))
        //  (R * cos(A) - h * sin(A), R * sin(A) + h * cos (A))
        //  (R * cos(B) + h * sin(B), R * sin(B) - h * cos (B))
        //  (R * cos(B), R * sin(B))
        //
        // where    h = 4/3 * R * tan ((B-A)/4)
        //
        // with R being the radius, A start angle and B end angle (A < B).
        //
        // (This calculation courtesy Carl Worth, himself based on
        // Michael Goldapp and Dokken/Daehlen)

        // Choosing R=1, A=0, B=pi/2
        const double h( 4.0/3.0 * tan(M_PI/8.0) );
        aQuarterCircle  = B2DCubicBezier(a10 + B2DPoint(1.0,0.0),
                                         B2DPoint(B2DPoint( 1.0, h ) + B2DPoint(1.0,0.0)),
                                         B2DPoint(B2DPoint( h, 1.0) + B2DPoint(1.0,0.0)),
                                         a01 + B2DPoint(1.0,0.0));

        aCusp           = B2DCubicBezier(a00 + B2DPoint(2.0,0.0),
                                         B2DPoint(a11 + B2DPoint(2.0,0.0)),
                                         B2DPoint(a01 + B2DPoint(2.0,0.0)),
                                         a10 + B2DPoint(2.0,0.0));

        aLoop           = B2DCubicBezier(a00 + B2DPoint(3.0,0.0),
                                         B2DPoint(a01 + B2DPoint(3.0,0.0)),
                                         B2DPoint(a10 + B2DPoint(3.0,0.0)),
                                         a00 + B2DPoint(3.0,0.0));

        aStraightLineDistinctEndPoints  = B2DCubicBezier(a00 + B2DPoint(4.0,0.0),
                                                         B2DPoint(middle + B2DPoint(4.0,0.0)),
                                                         B2DPoint(middle + B2DPoint(4.0,0.0)),
                                                         a11 + B2DPoint(4.0,0.0));

        aStraightLineDistinctEndPoints2  = B2DCubicBezier(a00 + B2DPoint(5.0,0.0),
                                                          B2DPoint(quarterDown + B2DPoint(5.0,0.0)),
                                                          B2DPoint(quarterUp + B2DPoint(5.0,0.0)),
                                                          a11 + B2DPoint(5.0,0.0));

        aStraightLineIdenticalEndPoints = B2DCubicBezier(a00 + B2DPoint(6.0,0.0),
                                                         B2DPoint(a11 + B2DPoint(6.0,0.0)),
                                                         B2DPoint(a11 + B2DPoint(6.0,0.0)),
                                                         a00 + B2DPoint(6.0,0.0));

        aStraightLineIdenticalEndPoints2 = B2DCubicBezier(a00 + B2DPoint(7.0,0.0),
                                                          B2DPoint(quarterDown + B2DPoint(7.0,0.0)),
                                                          B2DPoint(quarterUp + B2DPoint(7.0,0.0)),
                                                          a00 + B2DPoint(7.0,0.0));

        aCrossing       = B2DCubicBezier(a00 + B2DPoint(8.0,0.0),
                                         B2DPoint(B2DPoint(2.0,2.0) + B2DPoint(8.0,0.0)),
                                         B2DPoint(B2DPoint(-1.0,2.0) + B2DPoint(8.0,0.0)),
                                         a10 + B2DPoint(8.0,0.0));

        ::std::ofstream output("bez_testcases.gnuplot");
        DebugPlotter aPlotter( "Original curves",
                               output );

        aPlotter.plot( aHalfCircle,
                       "half circle" );
        aPlotter.plot( aQuarterCircle,
                       "quarter circle" );
        aPlotter.plot( aCusp,
                       "cusp" );
        aPlotter.plot( aLoop,
                       "loop" );
        aPlotter.plot( aStraightLineDistinctEndPoints,
                       "straight line 0" );
        aPlotter.plot( aStraightLineDistinctEndPoints2,
                       "straight line 1" );
        aPlotter.plot( aStraightLineIdenticalEndPoints,
                       "straight line 2" );
        aPlotter.plot( aStraightLineIdenticalEndPoints2,
                       "straight line 3" );
        aPlotter.plot( aCrossing,
                       "crossing" );

        // break up a complex bezier (loopy, spiky or self intersecting)
        // into simple segments (left to right)
        B2DCubicBezier aSegment = aCrossing;
        double fExtremePos(0.0);

        aPlotter.plot( aSegment, "segment" );
        while(aSegment.getMinimumExtremumPosition(fExtremePos))
        {
            aSegment.split(fExtremePos, 0, &aSegment);
            aPlotter.plot( aSegment, "segment" );
        }
    }

    void tearDown()
    {
    }

    void adaptiveByDistance()
    {
        ::std::ofstream output("bez_adaptiveByDistance.gnuplot");
        DebugPlotter aPlotter( "distance-adaptive subdivision",
                               output );

        const double fBound( 0.0001 );
        B2DPolygon result;

        aHalfCircle.adaptiveSubdivideByDistance(result, fBound);
        aPlotter.plot(result,
                      "half circle"); result.clear();

        aQuarterCircle.adaptiveSubdivideByDistance(result, fBound);
        aPlotter.plot(result,
                      "quarter circle"); result.clear();

        aLoop.adaptiveSubdivideByDistance(result, fBound);
        aPlotter.plot(result,
                      "loop"); result.clear();

        aStraightLineDistinctEndPoints.adaptiveSubdivideByDistance(result, fBound);
        aPlotter.plot(result,
                      "straight line 0"); result.clear();

        aStraightLineDistinctEndPoints2.adaptiveSubdivideByDistance(result, fBound);
        aPlotter.plot(result,
                      "straight line 1"); result.clear();

        aStraightLineIdenticalEndPoints.adaptiveSubdivideByDistance(result, fBound);
        aPlotter.plot(result,
                      "straight line 2"); result.clear();

        aStraightLineIdenticalEndPoints2.adaptiveSubdivideByDistance(result, fBound);
        aPlotter.plot(result,
                      "straight line 3"); result.clear();

        aCrossing.adaptiveSubdivideByDistance(result, fBound);
        aPlotter.plot(result,
                      "straight line 4"); result.clear();

        aCusp.adaptiveSubdivideByDistance(result, fBound);
        aPlotter.plot(result,
                      "straight line 5"); result.clear();

        CPPUNIT_ASSERT_MESSAGE("adaptiveByDistance", true );
    }

    void adaptiveByAngle()
    {
        const double fBound( 5.0 );
        B2DPolygon result;

        ::std::ofstream output("bez_adaptiveByAngle.gnuplot");
        DebugPlotter aPlotter( "angle-adaptive subdivision",
                               output );

        aHalfCircle.adaptiveSubdivideByAngle(result, fBound, true);
        aPlotter.plot(result,
                      "half circle"); result.clear();

        aQuarterCircle.adaptiveSubdivideByAngle(result, fBound, true);
        aPlotter.plot(result,
                      "quarter cirle"); result.clear();

        aLoop.adaptiveSubdivideByAngle(result, fBound, true);
        aPlotter.plot(result,
                      "loop"); result.clear();

        aStraightLineDistinctEndPoints.adaptiveSubdivideByAngle(result, fBound, true);
        aPlotter.plot(result,
                      "straight line 0"); result.clear();

        aStraightLineDistinctEndPoints2.adaptiveSubdivideByAngle(result, fBound, true);
        aPlotter.plot(result,
                      "straight line 1"); result.clear();

        aStraightLineIdenticalEndPoints.adaptiveSubdivideByAngle(result, fBound, true);
        aPlotter.plot(result,
                      "straight line 2"); result.clear();

        aStraightLineIdenticalEndPoints2.adaptiveSubdivideByAngle(result, fBound, true);
        aPlotter.plot(result,
                      "straight line 3"); result.clear();

        aCrossing.adaptiveSubdivideByAngle(result, fBound, true);
        aPlotter.plot(result,
                      "straight line 4"); result.clear();

        aCusp.adaptiveSubdivideByAngle(result, fBound, true);
        aPlotter.plot(result,
                      "straight line 5"); result.clear();

        CPPUNIT_ASSERT_MESSAGE("adaptiveByAngle", true );
    }

    // 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(b2dbeziertools);
    CPPUNIT_TEST(adaptiveByDistance);   // TODO: add tests for quadratic bezier (subdivide and degree reduction)
    CPPUNIT_TEST(adaptiveByAngle);
    CPPUNIT_TEST_SUITE_END();
}; // class b2dcubicbezier


class b2dcubicbezier : public CppUnit::TestFixture
{
public:
    // initialise your test code values here.
    void setUp()
    {
    }

    void tearDown()
    {
    }

    // insert your test code here.
    void EmptyMethod()
    {
        // this is demonstration code
        // CPPUNIT_ASSERT_MESSAGE("a message", 1 == 1);
        CPPUNIT_ASSERT_STUB();
    }

    // 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(b2dcubicbezier);
    CPPUNIT_TEST(EmptyMethod);
    CPPUNIT_TEST_SUITE_END();
}; // class b2dcubicbezier


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()
    {
        // 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 tearDown()
    {
    }

    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 == maIdentity);
        CPPUNIT_ASSERT_MESSAGE("operator==: scale matrix", aScale == maScale);
        CPPUNIT_ASSERT_MESSAGE("operator==: translate matrix", aTranslate == maTranslate);
        CPPUNIT_ASSERT_MESSAGE("operator==: shear matrix", aShear == maShear);
        CPPUNIT_ASSERT_MESSAGE("operator==: affine matrix", aAffine == maAffine);
        CPPUNIT_ASSERT_MESSAGE("operator==: perspective matrix", aPerspective == maPerspective);
    }

    void identity()
    {
        B2DHomMatrix ident;

        CPPUNIT_ASSERT_MESSAGE("identity", maIdentity == ident);
    }

    void scale()
    {
        B2DHomMatrix mat;
        mat.scale(2.0,20.0);
        CPPUNIT_ASSERT_MESSAGE("scale", maScale == mat);
    }

    void translate()
    {
        B2DHomMatrix mat;
        mat.translate(20.0,2.0);
        CPPUNIT_ASSERT_MESSAGE("translate", maTranslate == mat);
    }

    void shear()
    {
        B2DHomMatrix mat;
        mat.shearX(3.0);
        mat.shearY(7.0);
        CPPUNIT_ASSERT_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_MESSAGE("multiply: both compact", temp == affineAffineProd);

        temp = maPerspective;
        temp*=maAffine;
        CPPUNIT_ASSERT_MESSAGE("multiply: first compact", temp == affinePerspectiveProd);

        temp = maAffine;
        temp*=maPerspective;
        CPPUNIT_ASSERT_MESSAGE("multiply: second compact", temp == perspectiveAffineProd);

        temp = maPerspective;
        temp*=maPerspective;
        CPPUNIT_ASSERT_MESSAGE("multiply: none compact", temp == perspectivePerspectiveProd);
    }

    void impFillMatrix(B2DHomMatrix& rSource, double fScaleX, double fScaleY, double fShearX, double fRotate)
    {
        // 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)
    {
        // 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 double fSX(10.0);
        static double fSY(12.0);
        static double fR(45.0 * F_PI180);
        static double fS(15.0 * F_PI180);

        // 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));
    }

    // 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(shear);
    CPPUNIT_TEST(multiply);
    CPPUNIT_TEST(decompose);
    CPPUNIT_TEST_SUITE_END();

}; // class b2dhommatrix


class b2dhompoint : public CppUnit::TestFixture
{
public:
    // initialise your test code values here.
    void setUp()
    {
    }

    void tearDown()
    {
    }

    // insert your test code here.
    void EmptyMethod()
    {
        CPPUNIT_ASSERT_STUB();
    }

    // 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(b2dhompoint);
    CPPUNIT_TEST(EmptyMethod);
    CPPUNIT_TEST_SUITE_END();
}; // class b2dhompoint


class b2dpoint : public CppUnit::TestFixture
{
public:
    // initialise your test code values here.
    void setUp()
    {
    }

    void tearDown()
    {
    }

    // insert your test code here.
    // this is only demonstration code
    void EmptyMethod()
    {
          // CPPUNIT_ASSERT_MESSAGE("a message", 1 == 1);
       CPPUNIT_ASSERT_STUB();
    }

    // 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(b2dpoint);
    CPPUNIT_TEST(EmptyMethod);
    CPPUNIT_TEST_SUITE_END();
}; // class b2dpoint


class b2dpolygon : public CppUnit::TestFixture
{
public:
    // initialise your test code values here.
    void setUp()
    {
    }

    void tearDown()
    {
    }

    // insert your test code here.
    void testBasics()
    {
        B2DPolygon aPoly;

        aPoly.appendBezierSegment(B2DPoint(1,1),B2DPoint(2,2),B2DPoint(3,3));

        CPPUNIT_ASSERT_MESSAGE("#1 first polygon point wrong",
                               aPoly.getB2DPoint(0) == B2DPoint(3,3));
        CPPUNIT_ASSERT_MESSAGE("#1 first control point wrong",
                               aPoly.getPrevControlPoint(0) == B2DPoint(2,2));
        CPPUNIT_ASSERT_MESSAGE("#1 second control point wrong",
                               aPoly.getNextControlPoint(0) == B2DPoint(3,3));
        CPPUNIT_ASSERT_MESSAGE("next control point not used",
                               aPoly.isNextControlPointUsed(0) == false);

        aPoly.setNextControlPoint(0,B2DPoint(4,4));
        CPPUNIT_ASSERT_MESSAGE("#1.1 second control point wrong",
                               aPoly.getNextControlPoint(0) == B2DPoint(4,4));
        CPPUNIT_ASSERT_MESSAGE("next control point used",
                               aPoly.isNextControlPointUsed(0) == true);
        CPPUNIT_ASSERT_MESSAGE("areControlPointsUsed() wrong",
                               aPoly.areControlPointsUsed() == true);
        CPPUNIT_ASSERT_MESSAGE("getContinuityInPoint() wrong",
                               aPoly.getContinuityInPoint(0) == CONTINUITY_C2);

        aPoly.resetControlPoints();
        CPPUNIT_ASSERT_MESSAGE("resetControlPoints() did not clear",
                               aPoly.getB2DPoint(0) == B2DPoint(3,3));
        CPPUNIT_ASSERT_MESSAGE("resetControlPoints() did not clear",
                               aPoly.getPrevControlPoint(0) == B2DPoint(3,3));
        CPPUNIT_ASSERT_MESSAGE("resetControlPoints() did not clear",
                               aPoly.getNextControlPoint(0) == B2DPoint(3,3));
        CPPUNIT_ASSERT_MESSAGE("areControlPointsUsed() wrong #2",
                               aPoly.areControlPointsUsed() == false);

        aPoly.clear();
        aPoly.append(B2DPoint(0,0));
        aPoly.appendBezierSegment(B2DPoint(1,1),B2DPoint(2,2),B2DPoint(3,3));

        CPPUNIT_ASSERT_MESSAGE("#2 first polygon point wrong",
                               aPoly.getB2DPoint(0) == B2DPoint(0,0));
        CPPUNIT_ASSERT_MESSAGE("#2 first control point wrong",
                               aPoly.getPrevControlPoint(0) == B2DPoint(0,0));
        CPPUNIT_ASSERT_MESSAGE("#2 second control point wrong",
                               aPoly.getNextControlPoint(0) == B2DPoint(1,1));
        CPPUNIT_ASSERT_MESSAGE("#2 third control point wrong",
                               aPoly.getPrevControlPoint(1) == B2DPoint(2,2));
        CPPUNIT_ASSERT_MESSAGE("#2 fourth control point wrong",
                               aPoly.getNextControlPoint(1) == B2DPoint(3,3));
        CPPUNIT_ASSERT_MESSAGE("#2 second polygon point wrong",
                               aPoly.getB2DPoint(1) == B2DPoint(3,3));
    }
    // 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(b2dpolygon);
    CPPUNIT_TEST(testBasics);
    CPPUNIT_TEST_SUITE_END();
}; // class b2dpolygon


class b2dpolygontools : public CppUnit::TestFixture
{
public:
    // initialise your test code values here.
    void setUp()
    {
    }

    void tearDown()
    {
    }

    // insert your test code here.
    // this is only demonstration code
    void testIsRectangle()
    {
        B2DPolygon aRect1(
            tools::createPolygonFromRect(
                B2DRange(0,0,1,1) ) );

        B2DPolygon aRect2;
        aRect2.append( B2DPoint(0,0) );
        aRect2.append( B2DPoint(1,0) );
        aRect2.append( B2DPoint(1,.5));
        aRect2.append( B2DPoint(1,1) );
        aRect2.append( B2DPoint(0,1) );
        aRect2.setClosed(true);

        B2DPolygon aNonRect1;
        aNonRect1.append( B2DPoint(0,0) );
        aNonRect1.append( B2DPoint(1,0) );
        aNonRect1.append( B2DPoint(1,1) );
        aNonRect1.append( B2DPoint(0.5,1) );
        aNonRect1.append( B2DPoint(0.5,0) );
        aNonRect1.setClosed(true);

        B2DPolygon aNonRect2;
        aNonRect2.append( B2DPoint(0,0) );
        aNonRect2.append( B2DPoint(1,1) );
        aNonRect2.append( B2DPoint(1,0) );
        aNonRect2.append( B2DPoint(0,1) );
        aNonRect2.setClosed(true);

        B2DPolygon aNonRect3;
        aNonRect3.append( B2DPoint(0,0) );
        aNonRect3.append( B2DPoint(1,0) );
        aNonRect3.append( B2DPoint(1,1) );
        aNonRect3.setClosed(true);

        B2DPolygon aNonRect4;
        aNonRect4.append( B2DPoint(0,0) );
        aNonRect4.append( B2DPoint(1,0) );
        aNonRect4.append( B2DPoint(1,1) );
        aNonRect4.append( B2DPoint(0,1) );

        CPPUNIT_ASSERT_MESSAGE("checking rectangle-ness of rectangle 1",
                               tools::isRectangle( aRect1 ));
        CPPUNIT_ASSERT_MESSAGE("checking rectangle-ness of rectangle 2",
                               tools::isRectangle( aRect2 ));
        CPPUNIT_ASSERT_MESSAGE("checking non-rectangle-ness of polygon 1",
                               !tools::isRectangle( aNonRect1 ));
        CPPUNIT_ASSERT_MESSAGE("checking non-rectangle-ness of polygon 2",
                               !tools::isRectangle( aNonRect2 ));
        CPPUNIT_ASSERT_MESSAGE("checking non-rectangle-ness of polygon 3",
                               !tools::isRectangle( aNonRect3 ));
        CPPUNIT_ASSERT_MESSAGE("checking non-rectangle-ness of polygon 4",
                               !tools::isRectangle( aNonRect4 ));
    }

    // 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(b2dpolygontools);
    CPPUNIT_TEST(testIsRectangle);
    CPPUNIT_TEST_SUITE_END();
}; // class b2dpolygontools


class b2dpolypolygon : public CppUnit::TestFixture
{
public:
    // initialise your test code values here.
    void setUp()
    {
    }

    void tearDown()
    {
    }

    // insert your test code here.
    void EmptyMethod()
    {
        CPPUNIT_ASSERT_STUB();
    }

    // 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(b2dpolypolygon);
    CPPUNIT_TEST(EmptyMethod);
    CPPUNIT_TEST_SUITE_END();
}; // class b2dpolypolygon


class b2dquadraticbezier : public CppUnit::TestFixture
{
public:
    // initialise your test code values here.
    void setUp()
    {
    }

    void tearDown()
    {
    }

    // insert your test code here.
    // this is only demonstration code
    void EmptyMethod()
    {
          // CPPUNIT_ASSERT_MESSAGE("a message", 1 == 1);
       CPPUNIT_ASSERT_STUB();
    }

    // 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(b2dquadraticbezier);
    CPPUNIT_TEST(EmptyMethod);
    CPPUNIT_TEST_SUITE_END();
}; // class b2dquadraticbezier


class b2drange : public CppUnit::TestFixture
{
public:
    // initialise your test code values here.
    void setUp()
    {
    }

    void tearDown()
    {
    }

    // insert your test code here.
    void EmptyMethod()
    {
        CPPUNIT_ASSERT_STUB();
    }

    // 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(b2drange);
    CPPUNIT_TEST(EmptyMethod);
    CPPUNIT_TEST_SUITE_END();
}; // class b2drange


class b2dtuple : public CppUnit::TestFixture
{
public:
    // initialise your test code values here.
    void setUp()
    {
    }

    void tearDown()
    {
    }

    // insert your test code here.
    // this is only demonstration code
    void EmptyMethod()
    {
          // CPPUNIT_ASSERT_MESSAGE("a message", 1 == 1);
       CPPUNIT_ASSERT_STUB();
    }

    // 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(b2dtuple);
    CPPUNIT_TEST(EmptyMethod);
    CPPUNIT_TEST_SUITE_END();
}; // class b2dtuple


class b2dvector : public CppUnit::TestFixture
{
public:
    // initialise your test code values here.
    void setUp()
    {
    }

    void tearDown()
    {
    }

    // insert your test code here.
    void EmptyMethod()
    {
        CPPUNIT_ASSERT_STUB();
    }

    // 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(b2dvector);
    CPPUNIT_TEST(EmptyMethod);
    CPPUNIT_TEST_SUITE_END();
}; // class b2dvector

class bcolor : public CppUnit::TestFixture
{
    BColor maWhite;
    BColor maBlack;
    BColor maRed;
    BColor maGreen;
    BColor maBlue;
    BColor maYellow;
    BColor maMagenta;
    BColor maCyan;

public:
    bcolor() :
        maWhite(1,1,1),
        maBlack(0,0,0),
        maRed(1,0,0),
        maGreen(0,1,0),
        maBlue(0,0,1),
        maYellow(1,1,0),
        maMagenta(1,0,1),
        maCyan(0,1,1)
    {}


    // initialise your test code values here.
    void setUp()
    {
    }

    void tearDown()
    {
    }

    // insert your test code here.
    void hslTest()
    {
        CPPUNIT_ASSERT_MESSAGE("white",
                               tools::rgb2hsl(maWhite) == BColor(0,0,1));
        CPPUNIT_ASSERT_MESSAGE("black",
                               tools::rgb2hsl(maBlack) == BColor(0,0,0));
        CPPUNIT_ASSERT_MESSAGE("red",
                               tools::rgb2hsl(maRed) == BColor(0,1,0.5));
        CPPUNIT_ASSERT_MESSAGE("green",
                               tools::rgb2hsl(maGreen) == BColor(120,1,0.5));
        CPPUNIT_ASSERT_MESSAGE("blue",
                               tools::rgb2hsl(maBlue) == BColor(240,1,0.5));
        CPPUNIT_ASSERT_MESSAGE("yellow",
                               tools::rgb2hsl(maYellow) == BColor(60,1,0.5));
        CPPUNIT_ASSERT_MESSAGE("magenta",
                               tools::rgb2hsl(maMagenta) == BColor(300,1,0.5));
        CPPUNIT_ASSERT_MESSAGE("cyan",
                               tools::rgb2hsl(maCyan) == BColor(180,1,0.5));

        CPPUNIT_ASSERT_MESSAGE("roundtrip white",
                               tools::hsl2rgb(tools::rgb2hsl(maWhite)) == maWhite);
        CPPUNIT_ASSERT_MESSAGE("roundtrip black",
                               tools::hsl2rgb(tools::rgb2hsl(maBlack)) == maBlack);
        CPPUNIT_ASSERT_MESSAGE("roundtrip red",
                               tools::hsl2rgb(tools::rgb2hsl(maRed)) == maRed);
        CPPUNIT_ASSERT_MESSAGE("roundtrip green",
                               tools::hsl2rgb(tools::rgb2hsl(maGreen)) == maGreen);
        CPPUNIT_ASSERT_MESSAGE("roundtrip blue",
                               tools::hsl2rgb(tools::rgb2hsl(maBlue)) == maBlue);
        CPPUNIT_ASSERT_MESSAGE("roundtrip yellow",
                               tools::hsl2rgb(tools::rgb2hsl(maYellow)) == maYellow);
        CPPUNIT_ASSERT_MESSAGE("roundtrip magenta",
                               tools::hsl2rgb(tools::rgb2hsl(maMagenta)) == maMagenta);
        CPPUNIT_ASSERT_MESSAGE("roundtrip cyan",
                               tools::hsl2rgb(tools::rgb2hsl(maCyan)) == maCyan);

        CPPUNIT_ASSERT_MESSAGE("grey10",
                               tools::rgb2hsl(maWhite*.1) == BColor(0,0,.1));
        CPPUNIT_ASSERT_MESSAGE("grey90",
                               tools::rgb2hsl(maWhite*.9) == BColor(0,0,.9));
        CPPUNIT_ASSERT_MESSAGE("red/2",
                               tools::rgb2hsl(maRed*.5) == BColor(0,1,0.25));
        CPPUNIT_ASSERT_MESSAGE("green/2",
                               tools::rgb2hsl(maGreen*.5) == BColor(120,1,0.25));
        CPPUNIT_ASSERT_MESSAGE("blue/2",
                               tools::rgb2hsl(maBlue*.5) == BColor(240,1,0.25));
        CPPUNIT_ASSERT_MESSAGE("yellow/2",
                               tools::rgb2hsl(maYellow*.5) == BColor(60,1,0.25));
        CPPUNIT_ASSERT_MESSAGE("magenta/2",
                               tools::rgb2hsl(maMagenta*.5) == BColor(300,1,0.25));
        CPPUNIT_ASSERT_MESSAGE("cyan/2",
                               tools::rgb2hsl(maCyan*.5) == BColor(180,1,0.25));

        CPPUNIT_ASSERT_MESSAGE("pastel",
                               tools::rgb2hsl(BColor(.75,.25,.25)) == BColor(0,.5,.5));
    }

    // insert your test code here.
    void hsvTest()
    {
        CPPUNIT_ASSERT_MESSAGE("white",
                               tools::rgb2hsv(maWhite) == BColor(0,0,1));
        CPPUNIT_ASSERT_MESSAGE("black",
                               tools::rgb2hsv(maBlack) == BColor(0,0,0));
        CPPUNIT_ASSERT_MESSAGE("red",
                               tools::rgb2hsv(maRed) == BColor(0,1,1));
        CPPUNIT_ASSERT_MESSAGE("green",
                               tools::rgb2hsv(maGreen) == BColor(120,1,1));
        CPPUNIT_ASSERT_MESSAGE("blue",
                               tools::rgb2hsv(maBlue) == BColor(240,1,1));
        CPPUNIT_ASSERT_MESSAGE("yellow",
                               tools::rgb2hsv(maYellow) == BColor(60,1,1));
        CPPUNIT_ASSERT_MESSAGE("magenta",
                               tools::rgb2hsv(maMagenta) == BColor(300,1,1));
        CPPUNIT_ASSERT_MESSAGE("cyan",
                               tools::rgb2hsv(maCyan) == BColor(180,1,1));

        CPPUNIT_ASSERT_MESSAGE("roundtrip white",
                               tools::hsv2rgb(tools::rgb2hsv(maWhite)) == maWhite);
        CPPUNIT_ASSERT_MESSAGE("roundtrip black",
                               tools::hsv2rgb(tools::rgb2hsv(maBlack)) == maBlack);
        CPPUNIT_ASSERT_MESSAGE("roundtrip red",
                               tools::hsv2rgb(tools::rgb2hsv(maRed)) == maRed);
        CPPUNIT_ASSERT_MESSAGE("roundtrip green",
                               tools::hsv2rgb(tools::rgb2hsv(maGreen)) == maGreen);
        CPPUNIT_ASSERT_MESSAGE("roundtrip blue",
                               tools::hsv2rgb(tools::rgb2hsv(maBlue)) == maBlue);
        CPPUNIT_ASSERT_MESSAGE("roundtrip yellow",
                               tools::hsv2rgb(tools::rgb2hsv(maYellow)) == maYellow);
        CPPUNIT_ASSERT_MESSAGE("roundtrip magenta",
                               tools::hsv2rgb(tools::rgb2hsv(maMagenta)) == maMagenta);
        CPPUNIT_ASSERT_MESSAGE("roundtrip cyan",
                               tools::hsv2rgb(tools::rgb2hsv(maCyan)) == maCyan);

        CPPUNIT_ASSERT_MESSAGE("grey10",
                               tools::rgb2hsv(maWhite*.1) == BColor(0,0,.1));
        CPPUNIT_ASSERT_MESSAGE("grey90",
                               tools::rgb2hsv(maWhite*.9) == BColor(0,0,.9));
        CPPUNIT_ASSERT_MESSAGE("red/2",
                               tools::rgb2hsv(maRed*.5) == BColor(0,1,0.5));
        CPPUNIT_ASSERT_MESSAGE("green/2",
                               tools::rgb2hsv(maGreen*.5) == BColor(120,1,0.5));
        CPPUNIT_ASSERT_MESSAGE("blue/2",
                               tools::rgb2hsv(maBlue*.5) == BColor(240,1,0.5));
        CPPUNIT_ASSERT_MESSAGE("yellow/2",
                               tools::rgb2hsv(maYellow*.5) == BColor(60,1,0.5));
        CPPUNIT_ASSERT_MESSAGE("magenta/2",
                               tools::rgb2hsv(maMagenta*.5) == BColor(300,1,0.5));
        CPPUNIT_ASSERT_MESSAGE("cyan/2",
                               tools::rgb2hsv(maCyan*.5) == BColor(180,1,0.5));

        CPPUNIT_ASSERT_MESSAGE("pastel",
                               tools::rgb2hsv(BColor(.5,.25,.25)) == BColor(0,.5,.5));
    }

    void ciexyzTest()
    {
        tools::rgb2ciexyz(maWhite);
        tools::rgb2ciexyz(maBlack);
        tools::rgb2ciexyz(maRed);
        tools::rgb2ciexyz(maGreen);
        tools::rgb2ciexyz(maBlue);
        tools::rgb2ciexyz(maYellow);
        tools::rgb2ciexyz(maMagenta);
        tools::rgb2ciexyz(maCyan);
    }

    // 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(bcolor);
    CPPUNIT_TEST(hslTest);
    CPPUNIT_TEST(hsvTest);
    CPPUNIT_TEST(ciexyzTest);
    CPPUNIT_TEST_SUITE_END();
}; // class b2dvector

// -----------------------------------------------------------------------------
//CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2dmultirange, "basegfx2d");
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2dsvgdimpex, "basegfx2d");
//CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2dbeziertools, "basegfx2d");
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2dcubicbezier, "basegfx2d");
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2dhommatrix, "basegfx2d");
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2dhompoint, "basegfx2d");
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2dpoint, "basegfx2d");
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2dpolygon, "basegfx2d");
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2dpolygontools, "basegfx2d");
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2dpolypolygon, "basegfx2d");
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2dquadraticbezier, "basegfx2d");
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2drange, "basegfx2d");
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2dtuple, "basegfx2d");
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::b2dvector, "basegfx2d");
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION(basegfx2d::bcolor, "basegfx2d");
} // namespace basegfx2d


// -----------------------------------------------------------------------------

// this macro creates an empty function, which will called by the RegisterAllFunctions()
// to let the user the possibility to also register some functions by hand.
// NOADDITIONAL;