94 lines
4.5 KiB
C++
94 lines
4.5 KiB
C++
// This file is part 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"
|
|
|
|
#define VERIFY_TRSM(TRI,XB) { \
|
|
(XB).setRandom(); ref = (XB); \
|
|
(TRI).solveInPlace(XB); \
|
|
VERIFY_IS_APPROX((TRI).toDenseMatrix() * (XB), ref); \
|
|
(XB).setRandom(); ref = (XB); \
|
|
(XB) = (TRI).solve(XB); \
|
|
VERIFY_IS_APPROX((TRI).toDenseMatrix() * (XB), ref); \
|
|
}
|
|
|
|
#define VERIFY_TRSM_ONTHERIGHT(TRI,XB) { \
|
|
(XB).setRandom(); ref = (XB); \
|
|
(TRI).transpose().template solveInPlace<OnTheRight>(XB.transpose()); \
|
|
VERIFY_IS_APPROX((XB).transpose() * (TRI).transpose().toDenseMatrix(), ref.transpose()); \
|
|
(XB).setRandom(); ref = (XB); \
|
|
(XB).transpose() = (TRI).transpose().template solve<OnTheRight>(XB.transpose()); \
|
|
VERIFY_IS_APPROX((XB).transpose() * (TRI).transpose().toDenseMatrix(), ref.transpose()); \
|
|
}
|
|
|
|
template<typename Scalar,int Size, int Cols> void trsolve(int size=Size,int cols=Cols)
|
|
{
|
|
typedef typename NumTraits<Scalar>::Real RealScalar;
|
|
|
|
Matrix<Scalar,Size,Size,ColMajor> cmLhs(size,size);
|
|
Matrix<Scalar,Size,Size,RowMajor> rmLhs(size,size);
|
|
|
|
enum { colmajor = Size==1 ? RowMajor : ColMajor,
|
|
rowmajor = Cols==1 ? ColMajor : RowMajor };
|
|
Matrix<Scalar,Size,Cols,colmajor> cmRhs(size,cols);
|
|
Matrix<Scalar,Size,Cols,rowmajor> rmRhs(size,cols);
|
|
Matrix<Scalar,Dynamic,Dynamic,colmajor> ref(size,cols);
|
|
|
|
cmLhs.setRandom(); cmLhs *= static_cast<RealScalar>(0.1); cmLhs.diagonal().array() += static_cast<RealScalar>(1);
|
|
rmLhs.setRandom(); rmLhs *= static_cast<RealScalar>(0.1); rmLhs.diagonal().array() += static_cast<RealScalar>(1);
|
|
|
|
VERIFY_TRSM(cmLhs.conjugate().template triangularView<Lower>(), cmRhs);
|
|
VERIFY_TRSM(cmLhs.adjoint() .template triangularView<Lower>(), cmRhs);
|
|
VERIFY_TRSM(cmLhs .template triangularView<Upper>(), cmRhs);
|
|
VERIFY_TRSM(cmLhs .template triangularView<Lower>(), rmRhs);
|
|
VERIFY_TRSM(cmLhs.conjugate().template triangularView<Upper>(), rmRhs);
|
|
VERIFY_TRSM(cmLhs.adjoint() .template triangularView<Upper>(), rmRhs);
|
|
|
|
VERIFY_TRSM(cmLhs.conjugate().template triangularView<UnitLower>(), cmRhs);
|
|
VERIFY_TRSM(cmLhs .template triangularView<UnitUpper>(), rmRhs);
|
|
|
|
VERIFY_TRSM(rmLhs .template triangularView<Lower>(), cmRhs);
|
|
VERIFY_TRSM(rmLhs.conjugate().template triangularView<UnitUpper>(), rmRhs);
|
|
|
|
|
|
VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<Lower>(), cmRhs);
|
|
VERIFY_TRSM_ONTHERIGHT(cmLhs .template triangularView<Upper>(), cmRhs);
|
|
VERIFY_TRSM_ONTHERIGHT(cmLhs .template triangularView<Lower>(), rmRhs);
|
|
VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<Upper>(), rmRhs);
|
|
|
|
VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<UnitLower>(), cmRhs);
|
|
VERIFY_TRSM_ONTHERIGHT(cmLhs .template triangularView<UnitUpper>(), rmRhs);
|
|
|
|
VERIFY_TRSM_ONTHERIGHT(rmLhs .template triangularView<Lower>(), cmRhs);
|
|
VERIFY_TRSM_ONTHERIGHT(rmLhs.conjugate().template triangularView<UnitUpper>(), rmRhs);
|
|
|
|
int c = internal::random<int>(0,cols-1);
|
|
VERIFY_TRSM(rmLhs.template triangularView<Lower>(), rmRhs.col(c));
|
|
VERIFY_TRSM(cmLhs.template triangularView<Lower>(), rmRhs.col(c));
|
|
}
|
|
|
|
void test_product_trsolve()
|
|
{
|
|
for(int i = 0; i < g_repeat ; i++)
|
|
{
|
|
// matrices
|
|
CALL_SUBTEST_1((trsolve<float,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
|
|
CALL_SUBTEST_2((trsolve<double,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
|
|
CALL_SUBTEST_3((trsolve<std::complex<float>,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2),internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))));
|
|
CALL_SUBTEST_4((trsolve<std::complex<double>,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2),internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))));
|
|
|
|
// vectors
|
|
CALL_SUBTEST_1((trsolve<float,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
|
|
CALL_SUBTEST_5((trsolve<std::complex<double>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
|
|
CALL_SUBTEST_6((trsolve<float,1,1>()));
|
|
CALL_SUBTEST_7((trsolve<float,1,2>()));
|
|
CALL_SUBTEST_8((trsolve<std::complex<float>,4,1>()));
|
|
}
|
|
}
|