eigen/test/fastmath.cpp

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2015 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"

void check(bool b, bool ref) {
  std::cout << b;
  if (b == ref)
    std::cout << " OK  ";
  else
    std::cout << " BAD ";
}

#if EIGEN_COMP_MSVC && EIGEN_COMP_MSVC < 1800
namespace std {
template <typename T>
bool(isfinite)(T x) {
  return _finite(x);
}
template <typename T>
bool(isnan)(T x) {
  return _isnan(x);
}
template <typename T>
bool(isinf)(T x) {
  return _fpclass(x) == _FPCLASS_NINF || _fpclass(x) == _FPCLASS_PINF;
}
}  // namespace std
#endif

template <typename T>
void check_inf_nan(bool dryrun) {
  Matrix<T, Dynamic, 1> m(10);
  m.setRandom();
  m(3) = std::numeric_limits<T>::quiet_NaN();

  if (dryrun) {
    std::cout << "std::isfinite(" << m(3) << ") = ";
    check((std::isfinite)(m(3)), false);
    std::cout << "  ; numext::isfinite = ";
    check((numext::isfinite)(m(3)), false);
    std::cout << "\n";
    std::cout << "std::isinf(" << m(3) << ")    = ";
    check((std::isinf)(m(3)), false);
    std::cout << "  ; numext::isinf    = ";
    check((numext::isinf)(m(3)), false);
    std::cout << "\n";
    std::cout << "std::isnan(" << m(3) << ")    = ";
    check((std::isnan)(m(3)), true);
    std::cout << "  ; numext::isnan    = ";
    check((numext::isnan)(m(3)), true);
    std::cout << "\n";
    std::cout << "allFinite: ";
    check(m.allFinite(), 0);
    std::cout << "\n";
    std::cout << "hasNaN:    ";
    check(m.hasNaN(), 1);
    std::cout << "\n";
    std::cout << "\n";
  } else {
    if ((std::isfinite)(m(3))) {
      g_test_level = 1;
      VERIFY(!(numext::isfinite)(m(3)));
      g_test_level = 0;
    }
    if ((std::isinf)(m(3))) {
      g_test_level = 1;
      VERIFY(!(numext::isinf)(m(3)));
      g_test_level = 0;
    }
    if (!(std::isnan)(m(3))) {
      g_test_level = 1;
      VERIFY((numext::isnan)(m(3)));
      g_test_level = 0;
    }
    if ((std::isfinite)(m(3))) {
      g_test_level = 1;
      VERIFY(!m.allFinite());
      g_test_level = 0;
    }
    if (!(std::isnan)(m(3))) {
      g_test_level = 1;
      VERIFY(m.hasNaN());
      g_test_level = 0;
    }
  }
  T hidden_zero = (std::numeric_limits<T>::min)() * (std::numeric_limits<T>::min)();
  m(4) /= hidden_zero;
  if (dryrun) {
    std::cout << "std::isfinite(" << m(4) << ") = ";
    check((std::isfinite)(m(4)), false);
    std::cout << "  ; numext::isfinite = ";
    check((numext::isfinite)(m(4)), false);
    std::cout << "\n";
    std::cout << "std::isinf(" << m(4) << ")    = ";
    check((std::isinf)(m(4)), true);
    std::cout << "  ; numext::isinf    = ";
    check((numext::isinf)(m(4)), true);
    std::cout << "\n";
    std::cout << "std::isnan(" << m(4) << ")    = ";
    check((std::isnan)(m(4)), false);
    std::cout << "  ; numext::isnan    = ";
    check((numext::isnan)(m(4)), false);
    std::cout << "\n";
    std::cout << "allFinite: ";
    check(m.allFinite(), 0);
    std::cout << "\n";
    std::cout << "hasNaN:    ";
    check(m.hasNaN(), 1);
    std::cout << "\n";
    std::cout << "\n";
  } else {
    if ((std::isfinite)(m(3))) {
      g_test_level = 1;
      VERIFY(!(numext::isfinite)(m(4)));
      g_test_level = 0;
    }
    if (!(std::isinf)(m(3))) {
      g_test_level = 1;
      VERIFY((numext::isinf)(m(4)));
      g_test_level = 0;
    }
    if ((std::isnan)(m(3))) {
      g_test_level = 1;
      VERIFY(!(numext::isnan)(m(4)));
      g_test_level = 0;
    }
    if ((std::isfinite)(m(3))) {
      g_test_level = 1;
      VERIFY(!m.allFinite());
      g_test_level = 0;
    }
    if (!(std::isnan)(m(3))) {
      g_test_level = 1;
      VERIFY(m.hasNaN());
      g_test_level = 0;
    }
  }
  m(3) = 0;
  if (dryrun) {
    std::cout << "std::isfinite(" << m(3) << ") = ";
    check((std::isfinite)(m(3)), true);
    std::cout << "  ; numext::isfinite = ";
    check((numext::isfinite)(m(3)), true);
    std::cout << "\n";
    std::cout << "std::isinf(" << m(3) << ")    = ";
    check((std::isinf)(m(3)), false);
    std::cout << "  ; numext::isinf    = ";
    check((numext::isinf)(m(3)), false);
    std::cout << "\n";
    std::cout << "std::isnan(" << m(3) << ")    = ";
    check((std::isnan)(m(3)), false);
    std::cout << "  ; numext::isnan    = ";
    check((numext::isnan)(m(3)), false);
    std::cout << "\n";
    std::cout << "allFinite: ";
    check(m.allFinite(), 0);
    std::cout << "\n";
    std::cout << "hasNaN:    ";
    check(m.hasNaN(), 0);
    std::cout << "\n";
    std::cout << "\n\n";
  } else {
    if (!(std::isfinite)(m(3))) {
      g_test_level = 1;
      VERIFY((numext::isfinite)(m(3)));
      g_test_level = 0;
    }
    if ((std::isinf)(m(3))) {
      g_test_level = 1;
      VERIFY(!(numext::isinf)(m(3)));
      g_test_level = 0;
    }
    if ((std::isnan)(m(3))) {
      g_test_level = 1;
      VERIFY(!(numext::isnan)(m(3)));
      g_test_level = 0;
    }
    if ((std::isfinite)(m(3))) {
      g_test_level = 1;
      VERIFY(!m.allFinite());
      g_test_level = 0;
    }
    if ((std::isnan)(m(3))) {
      g_test_level = 1;
      VERIFY(!m.hasNaN());
      g_test_level = 0;
    }
  }
}

EIGEN_DECLARE_TEST(fastmath) {
  std::cout << "*** float *** \n\n";
  check_inf_nan<float>(true);
  std::cout << "*** double ***\n\n";
  check_inf_nan<double>(true);
  std::cout << "*** long double *** \n\n";
  check_inf_nan<long double>(true);

  check_inf_nan<float>(false);
  check_inf_nan<double>(false);
  check_inf_nan<long double>(false);
}