62 lines
2.4 KiB
C++
62 lines
2.4 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 Gael Guennebaud <gael.guennebaud@inria.fr>
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// Copyright (C) 2010 Jitse Niesen <jitse@maths.leeds.ac.uk>
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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/Eigenvalues>
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template <typename Scalar, int Size>
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void hessenberg(int size = Size) {
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typedef Matrix<Scalar, Size, Size> MatrixType;
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// Test basic functionality: A = U H U* and H is Hessenberg
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for (int counter = 0; counter < g_repeat; ++counter) {
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MatrixType m = MatrixType::Random(size, size);
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HessenbergDecomposition<MatrixType> hess(m);
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MatrixType Q = hess.matrixQ();
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MatrixType H = hess.matrixH();
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VERIFY_IS_APPROX(m, Q * H * Q.adjoint());
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for (int row = 2; row < size; ++row) {
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for (int col = 0; col < row - 1; ++col) {
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VERIFY(H(row, col) == (typename MatrixType::Scalar)0);
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}
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}
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}
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// Test whether compute() and constructor returns same result
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MatrixType A = MatrixType::Random(size, size);
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HessenbergDecomposition<MatrixType> cs1;
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cs1.compute(A);
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HessenbergDecomposition<MatrixType> cs2(A);
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VERIFY_IS_EQUAL(cs1.matrixH().eval(), cs2.matrixH().eval());
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MatrixType cs1Q = cs1.matrixQ();
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MatrixType cs2Q = cs2.matrixQ();
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VERIFY_IS_EQUAL(cs1Q, cs2Q);
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// Test assertions for when used uninitialized
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HessenbergDecomposition<MatrixType> hessUninitialized;
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VERIFY_RAISES_ASSERT(hessUninitialized.matrixH());
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VERIFY_RAISES_ASSERT(hessUninitialized.matrixQ());
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VERIFY_RAISES_ASSERT(hessUninitialized.householderCoefficients());
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VERIFY_RAISES_ASSERT(hessUninitialized.packedMatrix());
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// TODO: Add tests for packedMatrix() and householderCoefficients()
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}
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EIGEN_DECLARE_TEST(hessenberg) {
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CALL_SUBTEST_1((hessenberg<std::complex<double>, 1>()));
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CALL_SUBTEST_2((hessenberg<std::complex<double>, 2>()));
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CALL_SUBTEST_3((hessenberg<std::complex<float>, 4>()));
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CALL_SUBTEST_4((hessenberg<float, Dynamic>(internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
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CALL_SUBTEST_5((hessenberg<std::complex<double>, Dynamic>(internal::random<int>(1, EIGEN_TEST_MAX_SIZE))));
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// Test problem size constructors
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CALL_SUBTEST_6(HessenbergDecomposition<MatrixXf>(10));
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}
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