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79 lines
2.7 KiB
C++
79 lines
2.7 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra. Eigen itself is part of the KDE project.
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//
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// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr>
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// Copyright (C) 2008 Benoit Jacob <jacob.benoit.1@gmail.com>
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//
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// Eigen is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 3 of the License, or (at your option) any later version.
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//
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// Alternatively, you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of
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// the License, or (at your option) any later version.
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//
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// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License and a copy of the GNU General Public License along with
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// Eigen. If not, see <http://www.gnu.org/licenses/>.
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#include "main.h"
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#include <Eigen/LU>
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template<typename MatrixType> void inverse(const MatrixType& m)
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{
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/* this test covers the following files:
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Inverse.h
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*/
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int rows = m.rows();
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int cols = m.cols();
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typedef typename MatrixType::Scalar Scalar;
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typedef typename NumTraits<Scalar>::Real RealScalar;
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typedef Matrix<Scalar, MatrixType::ColsAtCompileTime, 1> VectorType;
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MatrixType m1 = MatrixType::Random(rows, cols),
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m2(rows, cols),
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mzero = MatrixType::Zero(rows, cols),
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identity = MatrixType::Identity(rows, rows);
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while(ei_abs(m1.determinant()) < RealScalar(0.1) && rows <= 8)
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{
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m1 = MatrixType::Random(rows, cols);
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}
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m2 = m1.inverse();
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VERIFY_IS_APPROX(m1, m2.inverse() );
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m1.computeInverse(&m2);
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VERIFY_IS_APPROX(m1, m2.inverse() );
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VERIFY_IS_APPROX((Scalar(2)*m2).inverse(), m2.inverse()*Scalar(0.5));
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VERIFY_IS_APPROX(identity, m1.inverse() * m1 );
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VERIFY_IS_APPROX(identity, m1 * m1.inverse() );
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VERIFY_IS_APPROX(m1, m1.inverse().inverse() );
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// since for the general case we implement separately row-major and col-major, test that
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VERIFY_IS_APPROX(m1.transpose().inverse(), m1.inverse().transpose());
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}
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void test_inverse()
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{
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for(int i = 0; i < g_repeat; i++) {
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CALL_SUBTEST( inverse(Matrix<double,1,1>()) );
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CALL_SUBTEST( inverse(Matrix2d()) );
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CALL_SUBTEST( inverse(Matrix3f()) );
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CALL_SUBTEST( inverse(Matrix4f()) );
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CALL_SUBTEST( inverse(MatrixXf(8,8)) );
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CALL_SUBTEST( inverse(MatrixXcd(7,7)) );
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}
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}
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