Quelle product_trsolve.cpp Sprache: 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));

  // 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());
  }
}

EIGEN_DECLARE_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>()));

  }
}

quality98%

¤ Dauer der Verarbeitung: 0.1 Sekunden (vorverarbeitet) ¤

Wurzel

Suchen

Beweissystem der NASA

Beweissystem Isabelle

NIST Cobol Testsuite

Cephes Mathematical Library

Wiener Entwicklungsmethode

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.

Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.