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 Benoit Jacob <jacob.benoit.1@gmail.com>
5// Copyright (C) 2008 Gael Guennebaud <g.gael@free.fr>
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
14template<typename MatrixType> void determinant(const MatrixType& m)
15{
16  /* this test covers the following files:
17     Determinant.h
18  */
19  int size = m.rows();
20
21  MatrixType m1(size, size), m2(size, size);
22  m1.setRandom();
23  m2.setRandom();
24  typedef typename MatrixType::Scalar Scalar;
25  Scalar x = ei_random<Scalar>();
26  VERIFY_IS_APPROX(MatrixType::Identity(size, size).determinant(), Scalar(1));
27  VERIFY_IS_APPROX((m1*m2).determinant(), m1.determinant() * m2.determinant());
28  if(size==1) return;
29  int i = ei_random<int>(0, size-1);
30  int j;
31  do {
32    j = ei_random<int>(0, size-1);
33  } while(j==i);
34  m2 = m1;
35  m2.row(i).swap(m2.row(j));
36  VERIFY_IS_APPROX(m2.determinant(), -m1.determinant());
37  m2 = m1;
38  m2.col(i).swap(m2.col(j));
39  VERIFY_IS_APPROX(m2.determinant(), -m1.determinant());
40  VERIFY_IS_APPROX(m2.determinant(), m2.transpose().determinant());
41  VERIFY_IS_APPROX(ei_conj(m2.determinant()), m2.adjoint().determinant());
42  m2 = m1;
43  m2.row(i) += x*m2.row(j);
44  VERIFY_IS_APPROX(m2.determinant(), m1.determinant());
45  m2 = m1;
46  m2.row(i) *= x;
47  VERIFY_IS_APPROX(m2.determinant(), m1.determinant() * x);
48}
49
50void test_eigen2_determinant()
51{
52  for(int i = 0; i < g_repeat; i++) {
53    CALL_SUBTEST_1( determinant(Matrix<float, 1, 1>()) );
54    CALL_SUBTEST_2( determinant(Matrix<double, 2, 2>()) );
55    CALL_SUBTEST_3( determinant(Matrix<double, 3, 3>()) );
56    CALL_SUBTEST_4( determinant(Matrix<double, 4, 4>()) );
57    CALL_SUBTEST_5( determinant(Matrix<std::complex<double>, 10, 10>()) );
58    CALL_SUBTEST_6( determinant(MatrixXd(20, 20)) );
59  }
60  CALL_SUBTEST_6( determinant(MatrixXd(200, 200)) );
61}
62