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 (at) 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 using namespace std; 12 template<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 89 void 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
