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44 lines
1.7 KiB
C++
44 lines
1.7 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) 2010 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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#include <Eigen/SVD>
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template<typename MatrixType> void upperbidiag(const MatrixType& m)
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{
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const typename MatrixType::Index rows = m.rows();
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const typename MatrixType::Index cols = m.cols();
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typedef Matrix<typename MatrixType::RealScalar, MatrixType::RowsAtCompileTime, MatrixType::ColsAtCompileTime> RealMatrixType;
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typedef Matrix<typename MatrixType::Scalar, MatrixType::ColsAtCompileTime, MatrixType::RowsAtCompileTime> TransposeMatrixType;
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MatrixType a = MatrixType::Random(rows,cols);
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internal::UpperBidiagonalization<MatrixType> ubd(a);
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RealMatrixType b(rows, cols);
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b.setZero();
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b.block(0,0,cols,cols) = ubd.bidiagonal();
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MatrixType c = ubd.householderU() * b * ubd.householderV().adjoint();
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VERIFY_IS_APPROX(a,c);
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TransposeMatrixType d = ubd.householderV() * b.adjoint() * ubd.householderU().adjoint();
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VERIFY_IS_APPROX(a.adjoint(),d);
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}
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void test_upperbidiagonalization()
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{
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for(int i = 0; i < g_repeat; i++) {
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CALL_SUBTEST_1( upperbidiag(MatrixXf(3,3)) );
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CALL_SUBTEST_2( upperbidiag(MatrixXd(17,12)) );
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CALL_SUBTEST_3( upperbidiag(MatrixXcf(20,20)) );
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CALL_SUBTEST_4( upperbidiag(MatrixXcd(16,15)) );
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CALL_SUBTEST_5( upperbidiag(Matrix<float,6,4>()) );
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CALL_SUBTEST_6( upperbidiag(Matrix<float,5,5>()) );
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CALL_SUBTEST_7( upperbidiag(Matrix<double,4,3>()) );
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}
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}
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