// This file is part of Eigen, a lightweight C++ template library // for linear algebra. // // Copyright (C) 2010 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" #include <Eigen/SVD> template <typename MatrixType> void upperbidiag(const MatrixType& m) { const Index rows = m.rows(); const Index cols = m.cols(); typedef Matrix<typename MatrixType::RealScalar, MatrixType::RowsAtCompileTime, MatrixType::ColsAtCompileTime> RealMatrixType; typedef Matrix<typename MatrixType::Scalar, MatrixType::ColsAtCompileTime, MatrixType::RowsAtCompileTime> TransposeMatrixType; MatrixType a = MatrixType::Random(rows, cols); internal::UpperBidiagonalization<MatrixType> ubd(a); RealMatrixType b(rows, cols); b.setZero(); b.block(0, 0, cols, cols) = ubd.bidiagonal(); MatrixType c = ubd.householderU() * b * ubd.householderV().adjoint(); VERIFY_IS_APPROX(a, c); TransposeMatrixType d = ubd.householderV() * b.adjoint() * ubd.householderU().adjoint(); VERIFY_IS_APPROX(a.adjoint(), d); } EIGEN_DECLARE_TEST(upperbidiagonalization) { for (int i = 0; i < g_repeat; i++) { CALL_SUBTEST_1(upperbidiag(MatrixXf(3, 3))); CALL_SUBTEST_2(upperbidiag(MatrixXd(17, 12))); CALL_SUBTEST_3(upperbidiag(MatrixXcf(20, 20))); CALL_SUBTEST_4(upperbidiag(Matrix<std::complex<double>, Dynamic, Dynamic, RowMajor>(16, 15))); CALL_SUBTEST_5(upperbidiag(Matrix<float, 6, 4>())); CALL_SUBTEST_6(upperbidiag(Matrix<float, 5, 5>())); CALL_SUBTEST_7(upperbidiag(Matrix<double, 4, 3>())); } }