/* -*- mode: C++; indent-tabs-mode: nil; -*-

 *

 * This file is a part of LEMON, a generic C++ optimization library.

 *

 * Copyright (C) 2003-2013

 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

 * (Egervary Research Group on Combinatorial Optimization, EGRES).

 *

 * Permission to use, modify and distribute this software is granted

 * provided that this copyright notice appears in all copies. For

 * precise terms see the accompanying LICENSE file.

 *

 * This software is provided "AS IS" with no warranty of any kind,

 * express or implied, and with no claim as to its suitability for any

 * purpose.

 *

 */

#ifndef LEMON_MATH_H

#define LEMON_MATH_H

///\ingroup misc

///\file

///\brief Some extensions to the standard \c cmath library.

///

///Some extensions to the standard \c cmath library.

///

///This file includes the standard math library (cmath).

#include<cmath>

namespace lemon {

  /// \addtogroup misc

  /// @{

  /// The Euler constant

  const long double E       = 2.7182818284590452353602874713526625L;

  /// log_2(e)

  const long double LOG2E   = 1.4426950408889634073599246810018921L;

  /// log_10(e)

  const long double LOG10E  = 0.4342944819032518276511289189166051L;

  /// ln(2)

  const long double LN2     = 0.6931471805599453094172321214581766L;

  /// ln(10)

  const long double LN10    = 2.3025850929940456840179914546843642L;

  /// pi

  const long double PI      = 3.1415926535897932384626433832795029L;

  /// pi/2

  const long double PI_2    = 1.5707963267948966192313216916397514L;

  /// pi/4

  const long double PI_4    = 0.7853981633974483096156608458198757L;

  /// sqrt(2)

  const long double SQRT2   = 1.4142135623730950488016887242096981L;

  /// 1/sqrt(2)

  const long double SQRT1_2 = 0.7071067811865475244008443621048490L;

  ///Check whether the parameter is NaN or not

  ///This function checks whether the parameter is NaN or not.

  ///Is should be equivalent with std::isnan(), but it is not

  ///provided by all compilers.

  inline bool isNaN(double v)

    {

      return v!=v;

    }

  ///Round a value to its closest integer

  inline double round(double r) {

    return (r > 0.0) ? std::floor(r + 0.5) : std::ceil(r - 0.5);

  }

  /// @}

} //namespace lemon

#endif //LEMON_MATH_H