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Diffstat (limited to 'test/diagonalmatrices.cpp')
-rw-r--r-- | test/diagonalmatrices.cpp | 94 |
1 files changed, 94 insertions, 0 deletions
diff --git a/test/diagonalmatrices.cpp b/test/diagonalmatrices.cpp new file mode 100644 index 000000000..3f5776dfc --- /dev/null +++ b/test/diagonalmatrices.cpp @@ -0,0 +1,94 @@ +// This file is part of Eigen, a lightweight C++ template library +// for linear algebra. +// +// Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com> +// +// This Source Code Form is subject to the terms of the Mozilla +// Public License v. 2.0. If a copy of the MPL was not distributed +// with this file, You can obtain one at http://mozilla.org/MPL/2.0/. + +#include "main.h" +using namespace std; +template<typename MatrixType> void diagonalmatrices(const MatrixType& m) +{ + typedef typename MatrixType::Index Index; + typedef typename MatrixType::Scalar Scalar; + typedef typename MatrixType::RealScalar RealScalar; + enum { Rows = MatrixType::RowsAtCompileTime, Cols = MatrixType::ColsAtCompileTime }; + typedef Matrix<Scalar, Rows, 1> VectorType; + typedef Matrix<Scalar, 1, Cols> RowVectorType; + typedef Matrix<Scalar, Rows, Rows> SquareMatrixType; + typedef DiagonalMatrix<Scalar, Rows> LeftDiagonalMatrix; + typedef DiagonalMatrix<Scalar, Cols> RightDiagonalMatrix; + typedef Matrix<Scalar, Rows==Dynamic?Dynamic:2*Rows, Cols==Dynamic?Dynamic:2*Cols> BigMatrix; + Index rows = m.rows(); + Index cols = m.cols(); + + MatrixType m1 = MatrixType::Random(rows, cols), + m2 = MatrixType::Random(rows, cols); + VectorType v1 = VectorType::Random(rows), + v2 = VectorType::Random(rows); + RowVectorType rv1 = RowVectorType::Random(cols), + rv2 = RowVectorType::Random(cols); + LeftDiagonalMatrix ldm1(v1), ldm2(v2); + RightDiagonalMatrix rdm1(rv1), rdm2(rv2); + + SquareMatrixType sq_m1 (v1.asDiagonal()); + VERIFY_IS_APPROX(sq_m1, v1.asDiagonal().toDenseMatrix()); + sq_m1 = v1.asDiagonal(); + VERIFY_IS_APPROX(sq_m1, v1.asDiagonal().toDenseMatrix()); + SquareMatrixType sq_m2 = v1.asDiagonal(); + VERIFY_IS_APPROX(sq_m1, sq_m2); + + ldm1 = v1.asDiagonal(); + LeftDiagonalMatrix ldm3(v1); + VERIFY_IS_APPROX(ldm1.diagonal(), ldm3.diagonal()); + LeftDiagonalMatrix ldm4 = v1.asDiagonal(); + VERIFY_IS_APPROX(ldm1.diagonal(), ldm4.diagonal()); + + sq_m1.block(0,0,rows,rows) = ldm1; + VERIFY_IS_APPROX(sq_m1, ldm1.toDenseMatrix()); + sq_m1.transpose() = ldm1; + VERIFY_IS_APPROX(sq_m1, ldm1.toDenseMatrix()); + + Index i = internal::random<Index>(0, rows-1); + Index j = internal::random<Index>(0, cols-1); + + VERIFY_IS_APPROX( ((ldm1 * m1)(i,j)) , ldm1.diagonal()(i) * m1(i,j) ); + VERIFY_IS_APPROX( ((ldm1 * (m1+m2))(i,j)) , ldm1.diagonal()(i) * (m1+m2)(i,j) ); + VERIFY_IS_APPROX( ((m1 * rdm1)(i,j)) , rdm1.diagonal()(j) * m1(i,j) ); + VERIFY_IS_APPROX( ((v1.asDiagonal() * m1)(i,j)) , v1(i) * m1(i,j) ); + VERIFY_IS_APPROX( ((m1 * rv1.asDiagonal())(i,j)) , rv1(j) * m1(i,j) ); + VERIFY_IS_APPROX( (((v1+v2).asDiagonal() * m1)(i,j)) , (v1+v2)(i) * m1(i,j) ); + VERIFY_IS_APPROX( (((v1+v2).asDiagonal() * (m1+m2))(i,j)) , (v1+v2)(i) * (m1+m2)(i,j) ); + VERIFY_IS_APPROX( ((m1 * (rv1+rv2).asDiagonal())(i,j)) , (rv1+rv2)(j) * m1(i,j) ); + VERIFY_IS_APPROX( (((m1+m2) * (rv1+rv2).asDiagonal())(i,j)) , (rv1+rv2)(j) * (m1+m2)(i,j) ); + + BigMatrix big; + big.setZero(2*rows, 2*cols); + + big.block(i,j,rows,cols) = m1; + big.block(i,j,rows,cols) = v1.asDiagonal() * big.block(i,j,rows,cols); + + VERIFY_IS_APPROX((big.block(i,j,rows,cols)) , v1.asDiagonal() * m1 ); + + big.block(i,j,rows,cols) = m1; + big.block(i,j,rows,cols) = big.block(i,j,rows,cols) * rv1.asDiagonal(); + VERIFY_IS_APPROX((big.block(i,j,rows,cols)) , m1 * rv1.asDiagonal() ); + +} + +void test_diagonalmatrices() +{ + for(int i = 0; i < g_repeat; i++) { + CALL_SUBTEST_1( diagonalmatrices(Matrix<float, 1, 1>()) ); + CALL_SUBTEST_2( diagonalmatrices(Matrix3f()) ); + CALL_SUBTEST_3( diagonalmatrices(Matrix<double,3,3,RowMajor>()) ); + CALL_SUBTEST_4( diagonalmatrices(Matrix4d()) ); + CALL_SUBTEST_5( diagonalmatrices(Matrix<float,4,4,RowMajor>()) ); + CALL_SUBTEST_6( diagonalmatrices(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) ); + CALL_SUBTEST_7( diagonalmatrices(MatrixXi(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) ); + 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))) ); + CALL_SUBTEST_9( diagonalmatrices(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) ); + } +} |