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// 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));
// destination with a non-default inner-stride
// see bug 1741
{
typedef Matrix<Scalar,Dynamic,Dynamic> MatrixX;
MatrixX buffer(2*cmRhs.rows(),2*cmRhs.cols());
Map<Matrix<Scalar,Size,Cols,colmajor>,0,Stride<Dynamic,2> > map1(buffer.data(),cmRhs.rows(),cmRhs.cols(),Stride<Dynamic,2>(2*cmRhs.outerStride(),2));
Map<Matrix<Scalar,Size,Cols,rowmajor>,0,Stride<Dynamic,2> > map2(buffer.data(),rmRhs.rows(),rmRhs.cols(),Stride<Dynamic,2>(2*rmRhs.outerStride(),2));
buffer.setZero();
VERIFY_TRSM(cmLhs.conjugate().template triangularView<Lower>(), map1);
buffer.setZero();
VERIFY_TRSM(cmLhs .template triangularView<Lower>(), map2);
}
if(Size==Dynamic)
{
cmLhs.resize(0,0);
cmRhs.resize(0,cmRhs.cols());
Matrix<Scalar,Size,Cols,colmajor> res = cmLhs.template triangularView<Lower>().solve(cmRhs);
VERIFY_IS_EQUAL(res.rows(),0);
VERIFY_IS_EQUAL(res.cols(),cmRhs.cols());
res = cmRhs;
cmLhs.template triangularView<Lower>().solveInPlace(res);
VERIFY_IS_EQUAL(res.rows(),0);
VERIFY_IS_EQUAL(res.cols(),cmRhs.cols());
}
}
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_5((trsolve<float,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
CALL_SUBTEST_6((trsolve<double,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
CALL_SUBTEST_7((trsolve<std::complex<float>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
CALL_SUBTEST_8((trsolve<std::complex<double>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
// meta-unrollers
CALL_SUBTEST_9((trsolve<float,4,1>()));
CALL_SUBTEST_10((trsolve<double,4,1>()));
CALL_SUBTEST_11((trsolve<std::complex<float>,4,1>()));
CALL_SUBTEST_12((trsolve<float,1,1>()));
CALL_SUBTEST_13((trsolve<float,1,2>()));
CALL_SUBTEST_14((trsolve<float,3,1>()));
}
}