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168 lines
7.0 KiB
C++
168 lines
7.0 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2009 Benoit Jacob <jacob.benoit.1@gmail.com>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#include "main.h"
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using namespace std;
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template<typename MatrixType> void diagonalmatrices(const MatrixType& m)
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{
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typedef typename MatrixType::Index Index;
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typedef typename MatrixType::Scalar Scalar;
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enum { Rows = MatrixType::RowsAtCompileTime, Cols = MatrixType::ColsAtCompileTime };
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typedef Matrix<Scalar, Rows, 1> VectorType;
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typedef Matrix<Scalar, 1, Cols> RowVectorType;
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typedef Matrix<Scalar, Rows, Rows> SquareMatrixType;
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typedef Matrix<Scalar, Dynamic, Dynamic> DynMatrixType;
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typedef DiagonalMatrix<Scalar, Rows> LeftDiagonalMatrix;
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typedef DiagonalMatrix<Scalar, Cols> RightDiagonalMatrix;
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typedef Matrix<Scalar, Rows==Dynamic?Dynamic:2*Rows, Cols==Dynamic?Dynamic:2*Cols> BigMatrix;
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Index rows = m.rows();
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Index cols = m.cols();
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MatrixType m1 = MatrixType::Random(rows, cols),
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m2 = MatrixType::Random(rows, cols);
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VectorType v1 = VectorType::Random(rows),
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v2 = VectorType::Random(rows);
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RowVectorType rv1 = RowVectorType::Random(cols),
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rv2 = RowVectorType::Random(cols);
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LeftDiagonalMatrix ldm1(v1), ldm2(v2);
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RightDiagonalMatrix rdm1(rv1), rdm2(rv2);
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Scalar s1 = internal::random<Scalar>();
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SquareMatrixType sq_m1 (v1.asDiagonal());
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VERIFY_IS_APPROX(sq_m1, v1.asDiagonal().toDenseMatrix());
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sq_m1 = v1.asDiagonal();
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VERIFY_IS_APPROX(sq_m1, v1.asDiagonal().toDenseMatrix());
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SquareMatrixType sq_m2 = v1.asDiagonal();
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VERIFY_IS_APPROX(sq_m1, sq_m2);
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ldm1 = v1.asDiagonal();
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LeftDiagonalMatrix ldm3(v1);
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VERIFY_IS_APPROX(ldm1.diagonal(), ldm3.diagonal());
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LeftDiagonalMatrix ldm4 = v1.asDiagonal();
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VERIFY_IS_APPROX(ldm1.diagonal(), ldm4.diagonal());
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sq_m1.block(0,0,rows,rows) = ldm1;
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VERIFY_IS_APPROX(sq_m1, ldm1.toDenseMatrix());
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sq_m1.transpose() = ldm1;
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VERIFY_IS_APPROX(sq_m1, ldm1.toDenseMatrix());
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Index i = internal::random<Index>(0, rows-1);
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Index j = internal::random<Index>(0, cols-1);
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VERIFY_IS_APPROX( ((ldm1 * m1)(i,j)) , ldm1.diagonal()(i) * m1(i,j) );
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VERIFY_IS_APPROX( ((ldm1 * (m1+m2))(i,j)) , ldm1.diagonal()(i) * (m1+m2)(i,j) );
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VERIFY_IS_APPROX( ((m1 * rdm1)(i,j)) , rdm1.diagonal()(j) * m1(i,j) );
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VERIFY_IS_APPROX( ((v1.asDiagonal() * m1)(i,j)) , v1(i) * m1(i,j) );
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VERIFY_IS_APPROX( ((m1 * rv1.asDiagonal())(i,j)) , rv1(j) * m1(i,j) );
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VERIFY_IS_APPROX( (((v1+v2).asDiagonal() * m1)(i,j)) , (v1+v2)(i) * m1(i,j) );
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VERIFY_IS_APPROX( (((v1+v2).asDiagonal() * (m1+m2))(i,j)) , (v1+v2)(i) * (m1+m2)(i,j) );
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VERIFY_IS_APPROX( ((m1 * (rv1+rv2).asDiagonal())(i,j)) , (rv1+rv2)(j) * m1(i,j) );
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VERIFY_IS_APPROX( (((m1+m2) * (rv1+rv2).asDiagonal())(i,j)) , (rv1+rv2)(j) * (m1+m2)(i,j) );
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if(rows>1)
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{
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DynMatrixType tmp = m1.topRows(rows/2), res;
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VERIFY_IS_APPROX( (res = m1.topRows(rows/2) * rv1.asDiagonal()), tmp * rv1.asDiagonal() );
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VERIFY_IS_APPROX( (res = v1.head(rows/2).asDiagonal()*m1.topRows(rows/2)), v1.head(rows/2).asDiagonal()*tmp );
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}
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BigMatrix big;
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big.setZero(2*rows, 2*cols);
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big.block(i,j,rows,cols) = m1;
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big.block(i,j,rows,cols) = v1.asDiagonal() * big.block(i,j,rows,cols);
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VERIFY_IS_APPROX((big.block(i,j,rows,cols)) , v1.asDiagonal() * m1 );
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big.block(i,j,rows,cols) = m1;
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big.block(i,j,rows,cols) = big.block(i,j,rows,cols) * rv1.asDiagonal();
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VERIFY_IS_APPROX((big.block(i,j,rows,cols)) , m1 * rv1.asDiagonal() );
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// scalar multiple
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VERIFY_IS_APPROX(LeftDiagonalMatrix(ldm1*s1).diagonal(), ldm1.diagonal() * s1);
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VERIFY_IS_APPROX(LeftDiagonalMatrix(s1*ldm1).diagonal(), s1 * ldm1.diagonal());
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VERIFY_IS_APPROX(m1 * (rdm1 * s1), (m1 * rdm1) * s1);
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VERIFY_IS_APPROX(m1 * (s1 * rdm1), (m1 * rdm1) * s1);
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// Diagonal to dense
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sq_m1.setRandom();
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sq_m2 = sq_m1;
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VERIFY_IS_APPROX( (sq_m1 += (s1*v1).asDiagonal()), sq_m2 += (s1*v1).asDiagonal().toDenseMatrix() );
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VERIFY_IS_APPROX( (sq_m1 -= (s1*v1).asDiagonal()), sq_m2 -= (s1*v1).asDiagonal().toDenseMatrix() );
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VERIFY_IS_APPROX( (sq_m1 = (s1*v1).asDiagonal()), (s1*v1).asDiagonal().toDenseMatrix() );
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sq_m1.setRandom();
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sq_m2 = v1.asDiagonal();
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sq_m2 = sq_m1 * sq_m2;
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VERIFY_IS_APPROX( (sq_m1*v1.asDiagonal()).col(i), sq_m2.col(i) );
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VERIFY_IS_APPROX( (sq_m1*v1.asDiagonal()).row(i), sq_m2.row(i) );
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}
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template<typename MatrixType> void as_scalar_product(const MatrixType& m)
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{
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typedef typename MatrixType::Scalar Scalar;
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typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
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typedef Matrix<Scalar, Dynamic, Dynamic> DynMatrixType;
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typedef Matrix<Scalar, Dynamic, 1> DynVectorType;
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typedef Matrix<Scalar, 1, Dynamic> DynRowVectorType;
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Index rows = m.rows();
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Index depth = internal::random<Index>(1,EIGEN_TEST_MAX_SIZE);
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VectorType v1 = VectorType::Random(rows);
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DynVectorType dv1 = DynVectorType::Random(depth);
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DynRowVectorType drv1 = DynRowVectorType::Random(depth);
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DynMatrixType dm1 = dv1;
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DynMatrixType drm1 = drv1;
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Scalar s = v1(0);
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VERIFY_IS_APPROX( v1.asDiagonal() * drv1, s*drv1 );
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VERIFY_IS_APPROX( dv1 * v1.asDiagonal(), dv1*s );
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VERIFY_IS_APPROX( v1.asDiagonal() * drm1, s*drm1 );
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VERIFY_IS_APPROX( dm1 * v1.asDiagonal(), dm1*s );
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}
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template<int>
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void bug987()
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{
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Matrix3Xd points = Matrix3Xd::Random(3, 3);
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Vector2d diag = Vector2d::Random();
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Matrix2Xd tmp1 = points.topRows<2>(), res1, res2;
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VERIFY_IS_APPROX( res1 = diag.asDiagonal() * points.topRows<2>(), res2 = diag.asDiagonal() * tmp1 );
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Matrix2d tmp2 = points.topLeftCorner<2,2>();
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VERIFY_IS_APPROX(( res1 = points.topLeftCorner<2,2>()*diag.asDiagonal()) , res2 = tmp2*diag.asDiagonal() );
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}
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void test_diagonalmatrices()
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{
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for(int i = 0; i < g_repeat; i++) {
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CALL_SUBTEST_1( diagonalmatrices(Matrix<float, 1, 1>()) );
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CALL_SUBTEST_1( as_scalar_product(Matrix<float, 1, 1>()) );
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CALL_SUBTEST_2( diagonalmatrices(Matrix3f()) );
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CALL_SUBTEST_3( diagonalmatrices(Matrix<double,3,3,RowMajor>()) );
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CALL_SUBTEST_4( diagonalmatrices(Matrix4d()) );
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CALL_SUBTEST_5( diagonalmatrices(Matrix<float,4,4,RowMajor>()) );
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CALL_SUBTEST_6( diagonalmatrices(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
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CALL_SUBTEST_6( as_scalar_product(MatrixXcf(1,1)) );
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CALL_SUBTEST_7( diagonalmatrices(MatrixXi(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
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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))) );
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CALL_SUBTEST_9( diagonalmatrices(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
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CALL_SUBTEST_9( diagonalmatrices(MatrixXf(1,1)) );
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CALL_SUBTEST_9( as_scalar_product(MatrixXf(1,1)) );
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}
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CALL_SUBTEST_10( bug987<0>() );
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}
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