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
trmv(const MatrixType & m)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
test_product_trmv()74 void test_product_trmv()
75 {
76 int s = 0;
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 }
88 TEST_SET_BUT_UNUSED_VARIABLE(s);
89 }
90