1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra. Eigen itself is part of the KDE project.
3 //
4 // Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr>
5 // Copyright (C) 2008 Benoit Jacob <jacob.benoit.1@gmail.com>
6 //
7 // This Source Code Form is subject to the terms of the Mozilla
8 // Public License v. 2.0. If a copy of the MPL was not distributed
9 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
10
11 #include "main.h"
12 #include <Eigen/LU>
13
inverse(const MatrixType & m)14 template<typename MatrixType> void inverse(const MatrixType& m)
15 {
16 /* this test covers the following files:
17 Inverse.h
18 */
19 int rows = m.rows();
20 int cols = m.cols();
21
22 typedef typename MatrixType::Scalar Scalar;
23 typedef typename NumTraits<Scalar>::Real RealScalar;
24 typedef Matrix<Scalar, MatrixType::ColsAtCompileTime, 1> VectorType;
25
26 MatrixType m1 = MatrixType::Random(rows, cols),
27 m2(rows, cols),
28 mzero = MatrixType::Zero(rows, cols),
29 identity = MatrixType::Identity(rows, rows);
30
31 while(ei_abs(m1.determinant()) < RealScalar(0.1) && rows <= 8)
32 {
33 m1 = MatrixType::Random(rows, cols);
34 }
35
36 m2 = m1.inverse();
37 VERIFY_IS_APPROX(m1, m2.inverse() );
38
39 m1.computeInverse(&m2);
40 VERIFY_IS_APPROX(m1, m2.inverse() );
41
42 VERIFY_IS_APPROX((Scalar(2)*m2).inverse(), m2.inverse()*Scalar(0.5));
43
44 VERIFY_IS_APPROX(identity, m1.inverse() * m1 );
45 VERIFY_IS_APPROX(identity, m1 * m1.inverse() );
46
47 VERIFY_IS_APPROX(m1, m1.inverse().inverse() );
48
49 // since for the general case we implement separately row-major and col-major, test that
50 VERIFY_IS_APPROX(m1.transpose().inverse(), m1.inverse().transpose());
51 }
52
test_eigen2_inverse()53 void test_eigen2_inverse()
54 {
55 for(int i = 0; i < g_repeat; i++) {
56 CALL_SUBTEST_1( inverse(Matrix<double,1,1>()) );
57 CALL_SUBTEST_2( inverse(Matrix2d()) );
58 CALL_SUBTEST_3( inverse(Matrix3f()) );
59 CALL_SUBTEST_4( inverse(Matrix4f()) );
60 CALL_SUBTEST_5( inverse(MatrixXf(8,8)) );
61 CALL_SUBTEST_6( inverse(MatrixXcd(7,7)) );
62 }
63 }
64