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1 // This file is part of Eigen, a lightweight C++ template library
2 // for linear algebra.
3 //
4 // Copyright (C) 2006-2010 Benoit Jacob <jacob.benoit.1@gmail.com>
5 //
6 // This Source Code Form is subject to the terms of the Mozilla
7 // Public License v. 2.0. If a copy of the MPL was not distributed
8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9 
10 #include "main.h"
11 
diagonal(const MatrixType & m)12 template<typename MatrixType> void diagonal(const MatrixType& m)
13 {
14   typedef typename MatrixType::Index Index;
15   typedef typename MatrixType::Scalar Scalar;
16   typedef typename MatrixType::RealScalar RealScalar;
17   typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
18   typedef Matrix<Scalar, 1, MatrixType::ColsAtCompileTime> RowVectorType;
19 
20   Index rows = m.rows();
21   Index cols = m.cols();
22 
23   MatrixType m1 = MatrixType::Random(rows, cols),
24              m2 = MatrixType::Random(rows, cols);
25 
26   //check diagonal()
27   VERIFY_IS_APPROX(m1.diagonal(), m1.transpose().diagonal());
28   m2.diagonal() = 2 * m1.diagonal();
29   m2.diagonal()[0] *= 3;
30 
31   if (rows>2)
32   {
33     enum {
34       N1 = MatrixType::RowsAtCompileTime>1 ?  1 : 0,
35       N2 = MatrixType::RowsAtCompileTime>2 ? -2 : 0
36     };
37 
38     // check sub/super diagonal
39     if(m1.template diagonal<N1>().RowsAtCompileTime!=Dynamic)
40     {
41       VERIFY(m1.template diagonal<N1>().RowsAtCompileTime == m1.diagonal(N1).size());
42     }
43     if(m1.template diagonal<N2>().RowsAtCompileTime!=Dynamic)
44     {
45       VERIFY(m1.template diagonal<N2>().RowsAtCompileTime == m1.diagonal(N2).size());
46     }
47 
48     m2.template diagonal<N1>() = 2 * m1.template diagonal<N1>();
49     VERIFY_IS_APPROX(m2.template diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
50     m2.template diagonal<N1>()[0] *= 3;
51     VERIFY_IS_APPROX(m2.template diagonal<N1>()[0], static_cast<Scalar>(6) * m1.template diagonal<N1>()[0]);
52 
53 
54     m2.template diagonal<N2>() = 2 * m1.template diagonal<N2>();
55     m2.template diagonal<N2>()[0] *= 3;
56     VERIFY_IS_APPROX(m2.template diagonal<N2>()[0], static_cast<Scalar>(6) * m1.template diagonal<N2>()[0]);
57 
58     m2.diagonal(N1) = 2 * m1.diagonal(N1);
59     VERIFY_IS_APPROX(m2.diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
60     m2.diagonal(N1)[0] *= 3;
61     VERIFY_IS_APPROX(m2.diagonal(N1)[0], static_cast<Scalar>(6) * m1.diagonal(N1)[0]);
62 
63     m2.diagonal(N2) = 2 * m1.diagonal(N2);
64     VERIFY_IS_APPROX(m2.diagonal<N2>(), static_cast<Scalar>(2) * m1.diagonal(N2));
65     m2.diagonal(N2)[0] *= 3;
66     VERIFY_IS_APPROX(m2.diagonal(N2)[0], static_cast<Scalar>(6) * m1.diagonal(N2)[0]);
67   }
68 }
69 
test_diagonal()70 void test_diagonal()
71 {
72   for(int i = 0; i < g_repeat; i++) {
73     CALL_SUBTEST_1( diagonal(Matrix<float, 1, 1>()) );
74     CALL_SUBTEST_1( diagonal(Matrix<float, 4, 9>()) );
75     CALL_SUBTEST_1( diagonal(Matrix<float, 7, 3>()) );
76     CALL_SUBTEST_2( diagonal(Matrix4d()) );
77     CALL_SUBTEST_2( diagonal(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
78     CALL_SUBTEST_2( diagonal(MatrixXi(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
79     CALL_SUBTEST_2( diagonal(MatrixXcd(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
80     CALL_SUBTEST_1( diagonal(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
81     CALL_SUBTEST_1( diagonal(Matrix<float,Dynamic,4>(3, 4)) );
82   }
83 }
84