mirror of
https://gitlab.com/libeigen/eigen.git
synced 2024-12-21 07:19:46 +08:00
91 lines
4.3 KiB
C++
91 lines
4.3 KiB
C++
// This file is triangularView of Eigen, a lightweight C++ template library
|
|
// for linear algebra.
|
|
//
|
|
// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
|
|
//
|
|
// This Source Code Form is subject to the terms of the Mozilla
|
|
// Public License v. 2.0. If a copy of the MPL was not distributed
|
|
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
|
|
|
|
#include "main.h"
|
|
|
|
template<typename MatrixType> void trmv(const MatrixType& m)
|
|
{
|
|
typedef typename MatrixType::Index Index;
|
|
typedef typename MatrixType::Scalar Scalar;
|
|
typedef typename NumTraits<Scalar>::Real RealScalar;
|
|
typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
|
|
|
|
RealScalar largerEps = 10*test_precision<RealScalar>();
|
|
|
|
Index rows = m.rows();
|
|
Index cols = m.cols();
|
|
|
|
MatrixType m1 = MatrixType::Random(rows, cols),
|
|
m3(rows, cols);
|
|
VectorType v1 = VectorType::Random(rows);
|
|
|
|
Scalar s1 = internal::random<Scalar>();
|
|
|
|
m1 = MatrixType::Random(rows, cols);
|
|
|
|
// check with a column-major matrix
|
|
m3 = m1.template triangularView<Eigen::Lower>();
|
|
VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Lower>() * v1, largerEps));
|
|
m3 = m1.template triangularView<Eigen::Upper>();
|
|
VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Upper>() * v1, largerEps));
|
|
m3 = m1.template triangularView<Eigen::UnitLower>();
|
|
VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitLower>() * v1, largerEps));
|
|
m3 = m1.template triangularView<Eigen::UnitUpper>();
|
|
VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitUpper>() * v1, largerEps));
|
|
|
|
// check conjugated and scalar multiple expressions (col-major)
|
|
m3 = m1.template triangularView<Eigen::Lower>();
|
|
VERIFY(((s1*m3).conjugate() * v1).isApprox((s1*m1).conjugate().template triangularView<Eigen::Lower>() * v1, largerEps));
|
|
m3 = m1.template triangularView<Eigen::Upper>();
|
|
VERIFY((m3.conjugate() * v1.conjugate()).isApprox(m1.conjugate().template triangularView<Eigen::Upper>() * v1.conjugate(), largerEps));
|
|
|
|
// check with a row-major matrix
|
|
m3 = m1.template triangularView<Eigen::Upper>();
|
|
VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Lower>() * v1, largerEps));
|
|
m3 = m1.template triangularView<Eigen::Lower>();
|
|
VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Upper>() * v1, largerEps));
|
|
m3 = m1.template triangularView<Eigen::UnitUpper>();
|
|
VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitLower>() * v1, largerEps));
|
|
m3 = m1.template triangularView<Eigen::UnitLower>();
|
|
VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitUpper>() * v1, largerEps));
|
|
|
|
// check conjugated and scalar multiple expressions (row-major)
|
|
m3 = m1.template triangularView<Eigen::Upper>();
|
|
VERIFY((m3.adjoint() * v1).isApprox(m1.adjoint().template triangularView<Eigen::Lower>() * v1, largerEps));
|
|
m3 = m1.template triangularView<Eigen::Lower>();
|
|
VERIFY((m3.adjoint() * (s1*v1.conjugate())).isApprox(m1.adjoint().template triangularView<Eigen::Upper>() * (s1*v1.conjugate()), largerEps));
|
|
m3 = m1.template triangularView<Eigen::UnitUpper>();
|
|
|
|
// check transposed cases:
|
|
m3 = m1.template triangularView<Eigen::Lower>();
|
|
VERIFY((v1.transpose() * m3).isApprox(v1.transpose() * m1.template triangularView<Eigen::Lower>(), largerEps));
|
|
VERIFY((v1.adjoint() * m3).isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>(), largerEps));
|
|
VERIFY((v1.adjoint() * m3.adjoint()).isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>().adjoint(), largerEps));
|
|
|
|
// TODO check with sub-matrices
|
|
}
|
|
|
|
void test_product_trmv()
|
|
{
|
|
int s = 0;
|
|
s = s; // shuts down ICC's remark #593: variable "s" was set but never used
|
|
for(int i = 0; i < g_repeat ; i++) {
|
|
CALL_SUBTEST_1( trmv(Matrix<float, 1, 1>()) );
|
|
CALL_SUBTEST_2( trmv(Matrix<float, 2, 2>()) );
|
|
CALL_SUBTEST_3( trmv(Matrix3d()) );
|
|
s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2);
|
|
CALL_SUBTEST_4( trmv(MatrixXcf(s,s)) );
|
|
s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2);
|
|
CALL_SUBTEST_5( trmv(MatrixXcd(s,s)) );
|
|
s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE);
|
|
CALL_SUBTEST_6( trmv(Matrix<float,Dynamic,Dynamic,RowMajor>(s, s)) );
|
|
}
|
|
EIGEN_UNUSED_VARIABLE(s);
|
|
}
|