Narayan Kamath | c981c48 | 2012-11-02 10:59:05 +0000 | [diff] [blame] | 1 | // This file is triangularView of Eigen, a lightweight C++ template library |
| 2 | // for linear algebra. |
| 3 | // |
| 4 | // Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr> |
| 5 | // |
| 6 | // This Source Code Form is subject to the terms of the Mozilla |
| 7 | // Public License v. 2.0. If a copy of the MPL was not distributed |
| 8 | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. |
| 9 | |
| 10 | #include "main.h" |
| 11 | |
| 12 | template<typename MatrixType> void trmv(const MatrixType& m) |
| 13 | { |
| 14 | typedef typename MatrixType::Index Index; |
| 15 | typedef typename MatrixType::Scalar Scalar; |
| 16 | typedef typename NumTraits<Scalar>::Real RealScalar; |
| 17 | typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType; |
| 18 | |
| 19 | RealScalar largerEps = 10*test_precision<RealScalar>(); |
| 20 | |
| 21 | Index rows = m.rows(); |
| 22 | Index cols = m.cols(); |
| 23 | |
| 24 | MatrixType m1 = MatrixType::Random(rows, cols), |
| 25 | m3(rows, cols); |
| 26 | VectorType v1 = VectorType::Random(rows); |
| 27 | |
| 28 | Scalar s1 = internal::random<Scalar>(); |
| 29 | |
| 30 | m1 = MatrixType::Random(rows, cols); |
| 31 | |
| 32 | // check with a column-major matrix |
| 33 | m3 = m1.template triangularView<Eigen::Lower>(); |
| 34 | VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Lower>() * v1, largerEps)); |
| 35 | m3 = m1.template triangularView<Eigen::Upper>(); |
| 36 | VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Upper>() * v1, largerEps)); |
| 37 | m3 = m1.template triangularView<Eigen::UnitLower>(); |
| 38 | VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitLower>() * v1, largerEps)); |
| 39 | m3 = m1.template triangularView<Eigen::UnitUpper>(); |
| 40 | VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitUpper>() * v1, largerEps)); |
| 41 | |
| 42 | // check conjugated and scalar multiple expressions (col-major) |
| 43 | m3 = m1.template triangularView<Eigen::Lower>(); |
| 44 | VERIFY(((s1*m3).conjugate() * v1).isApprox((s1*m1).conjugate().template triangularView<Eigen::Lower>() * v1, largerEps)); |
| 45 | m3 = m1.template triangularView<Eigen::Upper>(); |
| 46 | VERIFY((m3.conjugate() * v1.conjugate()).isApprox(m1.conjugate().template triangularView<Eigen::Upper>() * v1.conjugate(), largerEps)); |
| 47 | |
| 48 | // check with a row-major matrix |
| 49 | m3 = m1.template triangularView<Eigen::Upper>(); |
| 50 | VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Lower>() * v1, largerEps)); |
| 51 | m3 = m1.template triangularView<Eigen::Lower>(); |
| 52 | VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Upper>() * v1, largerEps)); |
| 53 | m3 = m1.template triangularView<Eigen::UnitUpper>(); |
| 54 | VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitLower>() * v1, largerEps)); |
| 55 | m3 = m1.template triangularView<Eigen::UnitLower>(); |
| 56 | VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitUpper>() * v1, largerEps)); |
| 57 | |
| 58 | // check conjugated and scalar multiple expressions (row-major) |
| 59 | m3 = m1.template triangularView<Eigen::Upper>(); |
| 60 | VERIFY((m3.adjoint() * v1).isApprox(m1.adjoint().template triangularView<Eigen::Lower>() * v1, largerEps)); |
| 61 | m3 = m1.template triangularView<Eigen::Lower>(); |
| 62 | VERIFY((m3.adjoint() * (s1*v1.conjugate())).isApprox(m1.adjoint().template triangularView<Eigen::Upper>() * (s1*v1.conjugate()), largerEps)); |
| 63 | m3 = m1.template triangularView<Eigen::UnitUpper>(); |
| 64 | |
| 65 | // check transposed cases: |
| 66 | m3 = m1.template triangularView<Eigen::Lower>(); |
| 67 | VERIFY((v1.transpose() * m3).isApprox(v1.transpose() * m1.template triangularView<Eigen::Lower>(), largerEps)); |
| 68 | VERIFY((v1.adjoint() * m3).isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>(), largerEps)); |
| 69 | VERIFY((v1.adjoint() * m3.adjoint()).isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>().adjoint(), largerEps)); |
| 70 | |
| 71 | // TODO check with sub-matrices |
| 72 | } |
| 73 | |
| 74 | void test_product_trmv() |
| 75 | { |
Carlos Hernandez | 7faaa9f | 2014-08-05 17:53:32 -0700 | [diff] [blame] | 76 | int s = 0; |
Narayan Kamath | c981c48 | 2012-11-02 10:59:05 +0000 | [diff] [blame] | 77 | for(int i = 0; i < g_repeat ; i++) { |
| 78 | CALL_SUBTEST_1( trmv(Matrix<float, 1, 1>()) ); |
| 79 | CALL_SUBTEST_2( trmv(Matrix<float, 2, 2>()) ); |
| 80 | CALL_SUBTEST_3( trmv(Matrix3d()) ); |
| 81 | s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2); |
| 82 | CALL_SUBTEST_4( trmv(MatrixXcf(s,s)) ); |
| 83 | s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2); |
| 84 | CALL_SUBTEST_5( trmv(MatrixXcd(s,s)) ); |
| 85 | s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE); |
| 86 | CALL_SUBTEST_6( trmv(Matrix<float,Dynamic,Dynamic,RowMajor>(s, s)) ); |
| 87 | } |
Carlos Hernandez | 7faaa9f | 2014-08-05 17:53:32 -0700 | [diff] [blame] | 88 | TEST_SET_BUT_UNUSED_VARIABLE(s); |
Narayan Kamath | c981c48 | 2012-11-02 10:59:05 +0000 | [diff] [blame] | 89 | } |