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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 "GramSchmidtTest.h"
#include "Math/Algorithms/GramSchmidt.h"
CORRADE_TEST_MAIN(Magnum::Math::Algorithms::Test::GramSchmidtTest)
namespace Magnum { namespace Math { namespace Algorithms { namespace Test {
typedef Matrix<3, float> Matrix3;
typedef Vector<3, float> Vector3;
GramSchmidtTest::GramSchmidtTest() {
addTests(&GramSchmidtTest::test);
}
void GramSchmidtTest::test() {
Matrix3 m(
3.0f, 5.0f, 8.0f,
4.0f, 4.0f, 7.0f,
7.0f, -1.0f, 8.0f
);
Matrix3 normalized = Algorithms::gramSchmidt(m);
/* Verify the first vector is in direction of first original */
CORRADE_COMPARE(normalized[0], m[0].normalized());
/* Verify the vectors have unit length */
CORRADE_COMPARE(normalized[0].length(), 1.0f);
CORRADE_COMPARE(normalized[1].length(), 1.0f);
CORRADE_COMPARE(normalized[2].length(), 1.0f);
/* Verify the vectors are orthogonal */
CORRADE_COMPARE(Vector3::dot(normalized[0], normalized[1]), 0.0f);
CORRADE_COMPARE(Vector3::dot(normalized[0], normalized[2]), 0.0f);
CORRADE_COMPARE(Vector3::dot(normalized[1], normalized[2]), 0.0f);
/* Just to be sure */
Matrix3 expected( 0.303046f, 0.505076f, 0.808122f,
0.928316f, -0.348119f, -0.130544f,
-0.215388f, -0.789754f, 0.574367f);
CORRADE_COMPARE(normalized, expected);
}
}}}}