1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2009 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"
11using namespace std;
12template<typename MatrixType> void diagonalmatrices(const MatrixType& m)
13{
14  typedef typename MatrixType::Index Index;
15  typedef typename MatrixType::Scalar Scalar;
16  enum { Rows = MatrixType::RowsAtCompileTime, Cols = MatrixType::ColsAtCompileTime };
17  typedef Matrix<Scalar, Rows, 1> VectorType;
18  typedef Matrix<Scalar, 1, Cols> RowVectorType;
19  typedef Matrix<Scalar, Rows, Rows> SquareMatrixType;
20  typedef DiagonalMatrix<Scalar, Rows> LeftDiagonalMatrix;
21  typedef DiagonalMatrix<Scalar, Cols> RightDiagonalMatrix;
22  typedef Matrix<Scalar, Rows==Dynamic?Dynamic:2*Rows, Cols==Dynamic?Dynamic:2*Cols> BigMatrix;
23  Index rows = m.rows();
24  Index cols = m.cols();
25
26  MatrixType m1 = MatrixType::Random(rows, cols),
27             m2 = MatrixType::Random(rows, cols);
28  VectorType v1 = VectorType::Random(rows),
29             v2 = VectorType::Random(rows);
30  RowVectorType rv1 = RowVectorType::Random(cols),
31             rv2 = RowVectorType::Random(cols);
32  LeftDiagonalMatrix ldm1(v1), ldm2(v2);
33  RightDiagonalMatrix rdm1(rv1), rdm2(rv2);
34
35  Scalar s1 = internal::random<Scalar>();
36
37  SquareMatrixType sq_m1 (v1.asDiagonal());
38  VERIFY_IS_APPROX(sq_m1, v1.asDiagonal().toDenseMatrix());
39  sq_m1 = v1.asDiagonal();
40  VERIFY_IS_APPROX(sq_m1, v1.asDiagonal().toDenseMatrix());
41  SquareMatrixType sq_m2 = v1.asDiagonal();
42  VERIFY_IS_APPROX(sq_m1, sq_m2);
43
44  ldm1 = v1.asDiagonal();
45  LeftDiagonalMatrix ldm3(v1);
46  VERIFY_IS_APPROX(ldm1.diagonal(), ldm3.diagonal());
47  LeftDiagonalMatrix ldm4 = v1.asDiagonal();
48  VERIFY_IS_APPROX(ldm1.diagonal(), ldm4.diagonal());
49
50  sq_m1.block(0,0,rows,rows) = ldm1;
51  VERIFY_IS_APPROX(sq_m1, ldm1.toDenseMatrix());
52  sq_m1.transpose() = ldm1;
53  VERIFY_IS_APPROX(sq_m1, ldm1.toDenseMatrix());
54
55  Index i = internal::random<Index>(0, rows-1);
56  Index j = internal::random<Index>(0, cols-1);
57
58  VERIFY_IS_APPROX( ((ldm1 * m1)(i,j))  , ldm1.diagonal()(i) * m1(i,j) );
59  VERIFY_IS_APPROX( ((ldm1 * (m1+m2))(i,j))  , ldm1.diagonal()(i) * (m1+m2)(i,j) );
60  VERIFY_IS_APPROX( ((m1 * rdm1)(i,j))  , rdm1.diagonal()(j) * m1(i,j) );
61  VERIFY_IS_APPROX( ((v1.asDiagonal() * m1)(i,j))  , v1(i) * m1(i,j) );
62  VERIFY_IS_APPROX( ((m1 * rv1.asDiagonal())(i,j))  , rv1(j) * m1(i,j) );
63  VERIFY_IS_APPROX( (((v1+v2).asDiagonal() * m1)(i,j))  , (v1+v2)(i) * m1(i,j) );
64  VERIFY_IS_APPROX( (((v1+v2).asDiagonal() * (m1+m2))(i,j))  , (v1+v2)(i) * (m1+m2)(i,j) );
65  VERIFY_IS_APPROX( ((m1 * (rv1+rv2).asDiagonal())(i,j))  , (rv1+rv2)(j) * m1(i,j) );
66  VERIFY_IS_APPROX( (((m1+m2) * (rv1+rv2).asDiagonal())(i,j))  , (rv1+rv2)(j) * (m1+m2)(i,j) );
67
68  BigMatrix big;
69  big.setZero(2*rows, 2*cols);
70
71  big.block(i,j,rows,cols) = m1;
72  big.block(i,j,rows,cols) = v1.asDiagonal() * big.block(i,j,rows,cols);
73
74  VERIFY_IS_APPROX((big.block(i,j,rows,cols)) , v1.asDiagonal() * m1 );
75
76  big.block(i,j,rows,cols) = m1;
77  big.block(i,j,rows,cols) = big.block(i,j,rows,cols) * rv1.asDiagonal();
78  VERIFY_IS_APPROX((big.block(i,j,rows,cols)) , m1 * rv1.asDiagonal() );
79
80
81  // scalar multiple
82  VERIFY_IS_APPROX(LeftDiagonalMatrix(ldm1*s1).diagonal(), ldm1.diagonal() * s1);
83  VERIFY_IS_APPROX(LeftDiagonalMatrix(s1*ldm1).diagonal(), s1 * ldm1.diagonal());
84
85  VERIFY_IS_APPROX(m1 * (rdm1 * s1), (m1 * rdm1) * s1);
86  VERIFY_IS_APPROX(m1 * (s1 * rdm1), (m1 * rdm1) * s1);
87}
88
89void test_diagonalmatrices()
90{
91  for(int i = 0; i < g_repeat; i++) {
92    CALL_SUBTEST_1( diagonalmatrices(Matrix<float, 1, 1>()) );
93    CALL_SUBTEST_2( diagonalmatrices(Matrix3f()) );
94    CALL_SUBTEST_3( diagonalmatrices(Matrix<double,3,3,RowMajor>()) );
95    CALL_SUBTEST_4( diagonalmatrices(Matrix4d()) );
96    CALL_SUBTEST_5( diagonalmatrices(Matrix<float,4,4,RowMajor>()) );
97    CALL_SUBTEST_6( diagonalmatrices(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
98    CALL_SUBTEST_7( diagonalmatrices(MatrixXi(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
99    CALL_SUBTEST_8( diagonalmatrices(Matrix<double,Dynamic,Dynamic,RowMajor>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
100    CALL_SUBTEST_9( diagonalmatrices(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
101  }
102}
103