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/*
Copyright © 2010, 2011, 2012 Vladimír Vondruš <mosra@centrum.cz>
This file is part of Magnum.
Magnum is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License version 3
only, as published by the Free Software Foundation.
Magnum is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License version 3 for more details.
*/
#include <TestSuite/Tester.h>
#include "Math/Matrix.h"
#include "Math/Algorithms/GaussJordan.h"
namespace Magnum { namespace Math { namespace Algorithms { namespace Test {
class GaussJordanTest: public Corrade::TestSuite::Tester {
public:
explicit GaussJordanTest();
void singular();
void invert();
};
typedef Matrix<4, float> Matrix4;
GaussJordanTest::GaussJordanTest() {
addTests(&GaussJordanTest::singular,
&GaussJordanTest::invert);
}
void GaussJordanTest::singular() {
Matrix4 a(1.0f, 2.0f, 3.0f, 4.0f,
2.0f, 3.0f, -7.0f, 11.0f,
2.0f, 4.0f, 6.0f, 8.0f,
1.0f, 2.0f, 7.0f, 40.0f);
RectangularMatrix<4, 1, float> t;
CORRADE_VERIFY(!GaussJordan::inPlaceTransposed(a, t));
}
void GaussJordanTest::invert() {
Matrix4 a(3.0f, 5.0f, 8.0f, 4.0f,
4.0f, 4.0f, 7.0f, 3.0f,
7.0f, -1.0f, 8.0f, 0.0f,
9.0f, 4.0f, 5.0f, 9.0f);
Matrix4 expectedInverse(-60/103.0f, 71/103.0f, -4/103.0f, 3/103.0f,
-66/103.0f, 109/103.0f, -25/103.0f, -7/103.0f,
177/412.0f, -97/206.0f, 53/412.0f, -7/206.0f,
259/412.0f, -185/206.0f, 31/412.0f, 27/206.0f);
Matrix4 a2(a);
Matrix4 inverse(Matrix4::Identity);
CORRADE_VERIFY(GaussJordan::inPlace(a2, inverse));
CORRADE_COMPARE(inverse, expectedInverse);
CORRADE_COMPARE(a*inverse, Matrix4());
}
}}}}
CORRADE_TEST_MAIN(Magnum::Math::Algorithms::Test::GaussJordanTest)