Ziele Untersuchung
mit Columbo Integrität von
Datenbanken Interaktion und
Portierbarkeit Ergonomie der
Schnittstellen

Angebot Produkte Projekt Beratung

Mittel Analytik Modellierung Sprachen Algebra Logik Hardware Denken Kreativität

Zusammenhänge Gesellschaft Wirtschaft Branche Firma


products/sources/formale Sprachen/C/MySQL/test/ (MySQL Server Version 8.1-8.4^©) Datei vom 12.11.2025 mit Größe 5 kB

Quelle linearstructure.cpp Sprache: C

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
// Copyright (C) 2014 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/.

static bool g_called;
#define EIGEN_SCALAR_BINARY_OP_PLUGIN { g_called |= (!internal::is_same<LhsScalar,RhsScalar>::value); }

#include "main.h"

template<typename MatrixType> void linearStructure(const MatrixType& m)
{
  using std::abs;
  /* this test covers the following files:
     CwiseUnaryOp.h, CwiseBinaryOp.h, SelfCwiseBinaryOp.h
  */
  typedef typename MatrixType::Scalar Scalar;
  typedef typename MatrixType::RealScalar RealScalar;

  Index rows = m.rows();
  Index cols = m.cols();

  // this test relies a lot on Random.h, and there's not much more that we can do
  // to test it, hence I consider that we will have tested Random.h
  MatrixType m1 = MatrixType::Random(rows, cols),
             m2 = MatrixType::Random(rows, cols),
             m3(rows, cols);

  Scalar s1 = internal::random<Scalar>();
  while (abs(s1)<RealScalar(1e-3)) s1 = internal::random<Scalar>();

  Index r = internal::random<Index>(0, rows-1),
        c = internal::random<Index>(0, cols-1);

  VERIFY_IS_APPROX(-(-m1),                  m1);
  VERIFY_IS_APPROX(m1+m1,                   2*m1);
  VERIFY_IS_APPROX(m1+m2-m1,                m2);
  VERIFY_IS_APPROX(-m2+m1+m2,               m1);
  VERIFY_IS_APPROX(m1*s1,                   s1*m1);
  VERIFY_IS_APPROX((m1+m2)*s1,              s1*m1+s1*m2);
  VERIFY_IS_APPROX((-m1+m2)*s1,             -s1*m1+s1*m2);
  m3 = m2; m3 += m1;
  VERIFY_IS_APPROX(m3,                      m1+m2);
  m3 = m2; m3 -= m1;
  VERIFY_IS_APPROX(m3,                      m2-m1);
  m3 = m2; m3 *= s1;
  VERIFY_IS_APPROX(m3,                      s1*m2);
  if(!NumTraits<Scalar>::IsInteger)
  {
    m3 = m2; m3 /= s1;
    VERIFY_IS_APPROX(m3,                    m2/s1);
  }

  // again, test operator() to check const-qualification
  VERIFY_IS_APPROX((-m1)(r,c), -(m1(r,c)));
  VERIFY_IS_APPROX((m1-m2)(r,c), (m1(r,c))-(m2(r,c)));
  VERIFY_IS_APPROX((m1+m2)(r,c), (m1(r,c))+(m2(r,c)));
  VERIFY_IS_APPROX((s1*m1)(r,c), s1*(m1(r,c)));
  VERIFY_IS_APPROX((m1*s1)(r,c), (m1(r,c))*s1);
  if(!NumTraits<Scalar>::IsInteger)
    VERIFY_IS_APPROX((m1/s1)(r,c), (m1(r,c))/s1);

  // use .block to disable vectorization and compare to the vectorized version
  VERIFY_IS_APPROX(m1+m1.block(0,0,rows,cols), m1+m1);
  VERIFY_IS_APPROX(m1.cwiseProduct(m1.block(0,0,rows,cols)), m1.cwiseProduct(m1));
  VERIFY_IS_APPROX(m1 - m1.block(0,0,rows,cols), m1 - m1);
  VERIFY_IS_APPROX(m1.block(0,0,rows,cols) * s1, m1 * s1);
}

// Make sure that complex * real and real * complex are properly optimized
template<typename MatrixType> void real_complex(DenseIndex rows = MatrixType::RowsAtCompileTime, DenseIndex cols = MatrixType::ColsAtCompileTime)
{
  typedef typename MatrixType::Scalar Scalar;
  typedef typename MatrixType::RealScalar RealScalar;

  RealScalar s = internal::random<RealScalar>();
  MatrixType m1 = MatrixType::Random(rows, cols);

  g_called = false;
  VERIFY_IS_APPROX(s*m1, Scalar(s)*m1);
  VERIFY(g_called && "real * matrix not properly optimized");

  g_called = false;
  VERIFY_IS_APPROX(m1*s, m1*Scalar(s));
  VERIFY(g_called && "matrix * real not properly optimized");

  g_called = false;
  VERIFY_IS_APPROX(m1/s, m1/Scalar(s));
  VERIFY(g_called && "matrix / real not properly optimized");

  g_called = false;
  VERIFY_IS_APPROX(s+m1.array(), Scalar(s)+m1.array());
  VERIFY(g_called && "real + matrix not properly optimized");

  g_called = false;
  VERIFY_IS_APPROX(m1.array()+s, m1.array()+Scalar(s));
  VERIFY(g_called && "matrix + real not properly optimized");

  g_called = false;
  VERIFY_IS_APPROX(s-m1.array(), Scalar(s)-m1.array());
  VERIFY(g_called && "real - matrix not properly optimized");

  g_called = false;
  VERIFY_IS_APPROX(m1.array()-s, m1.array()-Scalar(s));
  VERIFY(g_called && "matrix - real not properly optimized");
}

template<int>
void linearstructure_overflow()
{
  // make sure that /=scalar and /scalar do not overflow
  // rational: 1.0/4.94e-320 overflow, but m/4.94e-320 should not
  Matrix4d m2, m3;
  m3 = m2 =  Matrix4d::Random()*1e-20;
  m2 = m2 / 4.9e-320;
  VERIFY_IS_APPROX(m2.cwiseQuotient(m2), Matrix4d::Ones());
  m3 /= 4.9e-320;
  VERIFY_IS_APPROX(m3.cwiseQuotient(m3), Matrix4d::Ones());
}

EIGEN_DECLARE_TEST(linearstructure)
{
  g_called = true;
  VERIFY(g_called); // avoid `unneeded-internal-declaration` warning.
  for(int i = 0; i < g_repeat; i++) {
    CALL_SUBTEST_1( linearStructure(Matrix<float, 1, 1>()) );
    CALL_SUBTEST_2( linearStructure(Matrix2f()) );
    CALL_SUBTEST_3( linearStructure(Vector3d()) );
    CALL_SUBTEST_4( linearStructure(Matrix4d()) );
    CALL_SUBTEST_5( linearStructure(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2), internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))) );
    CALL_SUBTEST_6( linearStructure(MatrixXf (internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
    CALL_SUBTEST_7( linearStructure(MatrixXi (internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
    CALL_SUBTEST_8( linearStructure(MatrixXcd(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2), internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))) );
    CALL_SUBTEST_9( linearStructure(ArrayXXf (internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
    CALL_SUBTEST_10( linearStructure(ArrayXXcf (internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );

    CALL_SUBTEST_11( real_complex<Matrix4cd>() );
    CALL_SUBTEST_11( real_complex<MatrixXcf>(10,10) );
    CALL_SUBTEST_11( real_complex<ArrayXXcf>(10,10) );
  }
  CALL_SUBTEST_4( linearstructure_overflow<0>() );
}

quality92%

¤ Dauer der Verarbeitung: 0.15 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.