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46fe7a3d9e
few bits left of the comma and for floating-point types will never return zero. This replaces the custom functions in test/main.h, so one does not anymore need to think about that when writing tests.
128 lines
5.0 KiB
C++
128 lines
5.0 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra. Eigen itself is part of the KDE project.
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//
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// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@gmail.com>
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//
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// Eigen is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 3 of the License, or (at your option) any later version.
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//
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// Alternatively, you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of
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// the License, or (at your option) any later version.
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//
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// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License and a copy of the GNU General Public License along with
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// Eigen. If not, see <http://www.gnu.org/licenses/>.
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#include "main.h"
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template<typename MatrixType> void triangular(const MatrixType& m)
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{
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typedef typename MatrixType::Scalar Scalar;
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typedef typename NumTraits<Scalar>::Real RealScalar;
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typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
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RealScalar largerEps = 10*test_precision<RealScalar>();
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int rows = m.rows();
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int 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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m3(rows, cols),
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m4(rows, cols),
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r1(rows, cols),
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r2(rows, cols),
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mzero = MatrixType::Zero(rows, cols),
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mones = MatrixType::Ones(rows, cols),
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identity = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>
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::Identity(rows, rows),
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square = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>
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::Random(rows, rows);
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VectorType v1 = VectorType::Random(rows),
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v2 = VectorType::Random(rows),
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vzero = VectorType::Zero(rows);
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MatrixType m1up = m1.template part<Eigen::Upper>();
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MatrixType m2up = m2.template part<Eigen::Upper>();
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if (rows*cols>1)
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{
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VERIFY(m1up.isUpper());
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VERIFY(m2up.transpose().isLower());
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VERIFY(!m2.isLower());
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}
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// VERIFY_IS_APPROX(m1up.transpose() * m2, m1.upper().transpose().lower() * m2);
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// test overloaded operator+=
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r1.setZero();
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r2.setZero();
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r1.template part<Eigen::Upper>() += m1;
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r2 += m1up;
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VERIFY_IS_APPROX(r1,r2);
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// test overloaded operator=
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m1.setZero();
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m1.template part<Eigen::Upper>() = (m2.transpose() * m2).lazy();
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m3 = m2.transpose() * m2;
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VERIFY_IS_APPROX(m3.template part<Eigen::Lower>().transpose(), m1);
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// test overloaded operator=
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m1.setZero();
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m1.template part<Eigen::Lower>() = (m2.transpose() * m2).lazy();
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VERIFY_IS_APPROX(m3.template part<Eigen::Lower>(), m1);
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m1 = MatrixType::Random(rows, cols);
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for (int i=0; i<rows; ++i)
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while (ei_abs2(m1(i,i))<1e-3) m1(i,i) = ei_random<Scalar>();
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Transpose<MatrixType> trm4(m4);
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// test back and forward subsitution
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m3 = m1.template part<Eigen::Lower>();
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VERIFY(m3.template marked<Eigen::Lower>().solveTriangular(m3).cwise().abs().isIdentity(test_precision<RealScalar>()));
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VERIFY(m3.transpose().template marked<Eigen::Upper>()
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.solveTriangular(m3.transpose()).cwise().abs().isIdentity(test_precision<RealScalar>()));
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// check M * inv(L) using in place API
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m4 = m3;
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m3.transpose().template marked<Eigen::Upper>().solveTriangularInPlace(trm4);
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VERIFY(m4.cwise().abs().isIdentity(test_precision<RealScalar>()));
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m3 = m1.template part<Eigen::Upper>();
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VERIFY(m3.template marked<Eigen::Upper>().solveTriangular(m3).cwise().abs().isIdentity(test_precision<RealScalar>()));
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VERIFY(m3.transpose().template marked<Eigen::Lower>()
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.solveTriangular(m3.transpose()).cwise().abs().isIdentity(test_precision<RealScalar>()));
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// check M * inv(U) using in place API
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m4 = m3;
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m3.transpose().template marked<Eigen::Lower>().solveTriangularInPlace(trm4);
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VERIFY(m4.cwise().abs().isIdentity(test_precision<RealScalar>()));
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m3 = m1.template part<Eigen::Upper>();
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VERIFY(m2.isApprox(m3 * (m3.template marked<Eigen::Upper>().solveTriangular(m2)), largerEps));
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m3 = m1.template part<Eigen::Lower>();
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VERIFY(m2.isApprox(m3 * (m3.template marked<Eigen::Lower>().solveTriangular(m2)), largerEps));
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VERIFY((m1.template part<Eigen::Upper>() * m2.template part<Eigen::Upper>()).isUpper());
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}
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void test_triangular()
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{
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for(int i = 0; i < g_repeat ; i++) {
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CALL_SUBTEST( triangular(Matrix<float, 1, 1>()) );
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CALL_SUBTEST( triangular(Matrix<float, 2, 2>()) );
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CALL_SUBTEST( triangular(Matrix3d()) );
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CALL_SUBTEST( triangular(MatrixXcf(4, 4)) );
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CALL_SUBTEST( triangular(Matrix<std::complex<float>,8, 8>()) );
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CALL_SUBTEST( triangular(MatrixXd(17,17)) );
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}
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}
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