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81 lines
2.7 KiB
81 lines
2.7 KiB
// 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) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
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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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#include <StormEigen/SVD>
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template<typename MatrixType, typename JacobiScalar>
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void jacobi(const MatrixType& m = MatrixType())
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{
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typedef typename MatrixType::Index Index;
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Index rows = m.rows();
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Index cols = m.cols();
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enum {
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RowsAtCompileTime = MatrixType::RowsAtCompileTime,
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ColsAtCompileTime = MatrixType::ColsAtCompileTime
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};
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typedef Matrix<JacobiScalar, 2, 1> JacobiVector;
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const MatrixType a(MatrixType::Random(rows, cols));
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JacobiVector v = JacobiVector::Random().normalized();
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JacobiScalar c = v.x(), s = v.y();
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JacobiRotation<JacobiScalar> rot(c, s);
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{
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Index p = internal::random<Index>(0, rows-1);
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Index q;
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do {
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q = internal::random<Index>(0, rows-1);
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} while (q == p);
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MatrixType b = a;
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b.applyOnTheLeft(p, q, rot);
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VERIFY_IS_APPROX(b.row(p), c * a.row(p) + numext::conj(s) * a.row(q));
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VERIFY_IS_APPROX(b.row(q), -s * a.row(p) + numext::conj(c) * a.row(q));
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}
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{
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Index p = internal::random<Index>(0, cols-1);
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Index q;
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do {
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q = internal::random<Index>(0, cols-1);
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} while (q == p);
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MatrixType b = a;
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b.applyOnTheRight(p, q, rot);
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VERIFY_IS_APPROX(b.col(p), c * a.col(p) - s * a.col(q));
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VERIFY_IS_APPROX(b.col(q), numext::conj(s) * a.col(p) + numext::conj(c) * a.col(q));
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}
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}
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void test_jacobi()
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{
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for(int i = 0; i < g_repeat; i++) {
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CALL_SUBTEST_1(( jacobi<Matrix3f, float>() ));
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CALL_SUBTEST_2(( jacobi<Matrix4d, double>() ));
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CALL_SUBTEST_3(( jacobi<Matrix4cf, float>() ));
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CALL_SUBTEST_3(( jacobi<Matrix4cf, std::complex<float> >() ));
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int r = internal::random<int>(2, internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE)/2),
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c = internal::random<int>(2, internal::random<int>(1,STORMEIGEN_TEST_MAX_SIZE)/2);
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CALL_SUBTEST_4(( jacobi<MatrixXf, float>(MatrixXf(r,c)) ));
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CALL_SUBTEST_5(( jacobi<MatrixXcd, double>(MatrixXcd(r,c)) ));
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CALL_SUBTEST_5(( jacobi<MatrixXcd, std::complex<double> >(MatrixXcd(r,c)) ));
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// complex<float> is really important to test as it is the only way to cover conjugation issues in certain unaligned paths
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CALL_SUBTEST_6(( jacobi<MatrixXcf, float>(MatrixXcf(r,c)) ));
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CALL_SUBTEST_6(( jacobi<MatrixXcf, std::complex<float> >(MatrixXcf(r,c)) ));
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TEST_SET_BUT_UNUSED_VARIABLE(r);
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TEST_SET_BUT_UNUSED_VARIABLE(c);
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}
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}
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