diagonalmatrices.cpp (7531B)
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" 11 using namespace std; 12 template<typename MatrixType> void diagonalmatrices(const MatrixType& m) 13 { 14 typedef typename MatrixType::Scalar Scalar; 15 enum { Rows = MatrixType::RowsAtCompileTime, Cols = MatrixType::ColsAtCompileTime }; 16 typedef Matrix<Scalar, Rows, 1> VectorType; 17 typedef Matrix<Scalar, 1, Cols> RowVectorType; 18 typedef Matrix<Scalar, Rows, Rows> SquareMatrixType; 19 typedef Matrix<Scalar, Dynamic, Dynamic> DynMatrixType; 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 33 LeftDiagonalMatrix ldm1(v1), ldm2(v2); 34 RightDiagonalMatrix rdm1(rv1), rdm2(rv2); 35 36 Scalar s1 = internal::random<Scalar>(); 37 38 SquareMatrixType sq_m1 (v1.asDiagonal()); 39 VERIFY_IS_APPROX(sq_m1, v1.asDiagonal().toDenseMatrix()); 40 sq_m1 = v1.asDiagonal(); 41 VERIFY_IS_APPROX(sq_m1, v1.asDiagonal().toDenseMatrix()); 42 SquareMatrixType sq_m2 = v1.asDiagonal(); 43 VERIFY_IS_APPROX(sq_m1, sq_m2); 44 45 ldm1 = v1.asDiagonal(); 46 LeftDiagonalMatrix ldm3(v1); 47 VERIFY_IS_APPROX(ldm1.diagonal(), ldm3.diagonal()); 48 LeftDiagonalMatrix ldm4 = v1.asDiagonal(); 49 VERIFY_IS_APPROX(ldm1.diagonal(), ldm4.diagonal()); 50 51 sq_m1.block(0,0,rows,rows) = ldm1; 52 VERIFY_IS_APPROX(sq_m1, ldm1.toDenseMatrix()); 53 sq_m1.transpose() = ldm1; 54 VERIFY_IS_APPROX(sq_m1, ldm1.toDenseMatrix()); 55 56 Index i = internal::random<Index>(0, rows-1); 57 Index j = internal::random<Index>(0, cols-1); 58 59 VERIFY_IS_APPROX( ((ldm1 * m1)(i,j)) , ldm1.diagonal()(i) * m1(i,j) ); 60 VERIFY_IS_APPROX( ((ldm1 * (m1+m2))(i,j)) , ldm1.diagonal()(i) * (m1+m2)(i,j) ); 61 VERIFY_IS_APPROX( ((m1 * rdm1)(i,j)) , rdm1.diagonal()(j) * m1(i,j) ); 62 VERIFY_IS_APPROX( ((v1.asDiagonal() * m1)(i,j)) , v1(i) * m1(i,j) ); 63 VERIFY_IS_APPROX( ((m1 * rv1.asDiagonal())(i,j)) , rv1(j) * m1(i,j) ); 64 VERIFY_IS_APPROX( (((v1+v2).asDiagonal() * m1)(i,j)) , (v1+v2)(i) * m1(i,j) ); 65 VERIFY_IS_APPROX( (((v1+v2).asDiagonal() * (m1+m2))(i,j)) , (v1+v2)(i) * (m1+m2)(i,j) ); 66 VERIFY_IS_APPROX( ((m1 * (rv1+rv2).asDiagonal())(i,j)) , (rv1+rv2)(j) * m1(i,j) ); 67 VERIFY_IS_APPROX( (((m1+m2) * (rv1+rv2).asDiagonal())(i,j)) , (rv1+rv2)(j) * (m1+m2)(i,j) ); 68 69 if(rows>1) 70 { 71 DynMatrixType tmp = m1.topRows(rows/2), res; 72 VERIFY_IS_APPROX( (res = m1.topRows(rows/2) * rv1.asDiagonal()), tmp * rv1.asDiagonal() ); 73 VERIFY_IS_APPROX( (res = v1.head(rows/2).asDiagonal()*m1.topRows(rows/2)), v1.head(rows/2).asDiagonal()*tmp ); 74 } 75 76 BigMatrix big; 77 big.setZero(2*rows, 2*cols); 78 79 big.block(i,j,rows,cols) = m1; 80 big.block(i,j,rows,cols) = v1.asDiagonal() * big.block(i,j,rows,cols); 81 82 VERIFY_IS_APPROX((big.block(i,j,rows,cols)) , v1.asDiagonal() * m1 ); 83 84 big.block(i,j,rows,cols) = m1; 85 big.block(i,j,rows,cols) = big.block(i,j,rows,cols) * rv1.asDiagonal(); 86 VERIFY_IS_APPROX((big.block(i,j,rows,cols)) , m1 * rv1.asDiagonal() ); 87 88 89 // scalar multiple 90 VERIFY_IS_APPROX(LeftDiagonalMatrix(ldm1*s1).diagonal(), ldm1.diagonal() * s1); 91 VERIFY_IS_APPROX(LeftDiagonalMatrix(s1*ldm1).diagonal(), s1 * ldm1.diagonal()); 92 93 VERIFY_IS_APPROX(m1 * (rdm1 * s1), (m1 * rdm1) * s1); 94 VERIFY_IS_APPROX(m1 * (s1 * rdm1), (m1 * rdm1) * s1); 95 96 // Diagonal to dense 97 sq_m1.setRandom(); 98 sq_m2 = sq_m1; 99 VERIFY_IS_APPROX( (sq_m1 += (s1*v1).asDiagonal()), sq_m2 += (s1*v1).asDiagonal().toDenseMatrix() ); 100 VERIFY_IS_APPROX( (sq_m1 -= (s1*v1).asDiagonal()), sq_m2 -= (s1*v1).asDiagonal().toDenseMatrix() ); 101 VERIFY_IS_APPROX( (sq_m1 = (s1*v1).asDiagonal()), (s1*v1).asDiagonal().toDenseMatrix() ); 102 103 sq_m1.setRandom(); 104 sq_m2 = v1.asDiagonal(); 105 sq_m2 = sq_m1 * sq_m2; 106 VERIFY_IS_APPROX( (sq_m1*v1.asDiagonal()).col(i), sq_m2.col(i) ); 107 VERIFY_IS_APPROX( (sq_m1*v1.asDiagonal()).row(i), sq_m2.row(i) ); 108 109 sq_m1 = v1.asDiagonal(); 110 sq_m2 = v2.asDiagonal(); 111 SquareMatrixType sq_m3 = v1.asDiagonal(); 112 VERIFY_IS_APPROX( sq_m3 = v1.asDiagonal() + v2.asDiagonal(), sq_m1 + sq_m2); 113 VERIFY_IS_APPROX( sq_m3 = v1.asDiagonal() - v2.asDiagonal(), sq_m1 - sq_m2); 114 VERIFY_IS_APPROX( sq_m3 = v1.asDiagonal() - 2*v2.asDiagonal() + v1.asDiagonal(), sq_m1 - 2*sq_m2 + sq_m1); 115 } 116 117 template<typename MatrixType> void as_scalar_product(const MatrixType& m) 118 { 119 typedef typename MatrixType::Scalar Scalar; 120 typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType; 121 typedef Matrix<Scalar, Dynamic, Dynamic> DynMatrixType; 122 typedef Matrix<Scalar, Dynamic, 1> DynVectorType; 123 typedef Matrix<Scalar, 1, Dynamic> DynRowVectorType; 124 125 Index rows = m.rows(); 126 Index depth = internal::random<Index>(1,EIGEN_TEST_MAX_SIZE); 127 128 VectorType v1 = VectorType::Random(rows); 129 DynVectorType dv1 = DynVectorType::Random(depth); 130 DynRowVectorType drv1 = DynRowVectorType::Random(depth); 131 DynMatrixType dm1 = dv1; 132 DynMatrixType drm1 = drv1; 133 134 Scalar s = v1(0); 135 136 VERIFY_IS_APPROX( v1.asDiagonal() * drv1, s*drv1 ); 137 VERIFY_IS_APPROX( dv1 * v1.asDiagonal(), dv1*s ); 138 139 VERIFY_IS_APPROX( v1.asDiagonal() * drm1, s*drm1 ); 140 VERIFY_IS_APPROX( dm1 * v1.asDiagonal(), dm1*s ); 141 } 142 143 template<int> 144 void bug987() 145 { 146 Matrix3Xd points = Matrix3Xd::Random(3, 3); 147 Vector2d diag = Vector2d::Random(); 148 Matrix2Xd tmp1 = points.topRows<2>(), res1, res2; 149 VERIFY_IS_APPROX( res1 = diag.asDiagonal() * points.topRows<2>(), res2 = diag.asDiagonal() * tmp1 ); 150 Matrix2d tmp2 = points.topLeftCorner<2,2>(); 151 VERIFY_IS_APPROX(( res1 = points.topLeftCorner<2,2>()*diag.asDiagonal()) , res2 = tmp2*diag.asDiagonal() ); 152 } 153 154 EIGEN_DECLARE_TEST(diagonalmatrices) 155 { 156 for(int i = 0; i < g_repeat; i++) { 157 CALL_SUBTEST_1( diagonalmatrices(Matrix<float, 1, 1>()) ); 158 CALL_SUBTEST_1( as_scalar_product(Matrix<float, 1, 1>()) ); 159 160 CALL_SUBTEST_2( diagonalmatrices(Matrix3f()) ); 161 CALL_SUBTEST_3( diagonalmatrices(Matrix<double,3,3,RowMajor>()) ); 162 CALL_SUBTEST_4( diagonalmatrices(Matrix4d()) ); 163 CALL_SUBTEST_5( diagonalmatrices(Matrix<float,4,4,RowMajor>()) ); 164 CALL_SUBTEST_6( diagonalmatrices(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) ); 165 CALL_SUBTEST_6( as_scalar_product(MatrixXcf(1,1)) ); 166 CALL_SUBTEST_7( diagonalmatrices(MatrixXi(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) ); 167 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))) ); 168 CALL_SUBTEST_9( diagonalmatrices(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) ); 169 CALL_SUBTEST_9( diagonalmatrices(MatrixXf(1,1)) ); 170 CALL_SUBTEST_9( as_scalar_product(MatrixXf(1,1)) ); 171 } 172 CALL_SUBTEST_10( bug987<0>() ); 173 }