lemon/math.h
author Peter Kovacs <kpeter@inf.elte.hu>
Fri, 17 Apr 2009 18:04:36 +0200
changeset 609 e6927fe719e6
parent 470 81627fa1b007
child 877 141f9c0db4a3
permissions -rw-r--r--
Support >= and <= constraints in NetworkSimplex (#219, #234)

By default the same inequality constraints are supported as by
Circulation (the GEQ form), but the LEQ form can also be selected
using the problemType() function.

The documentation of the min. cost flow module is reworked and
extended with important notes and explanations about the different
variants of the problem and about the dual solution and optimality
conditions.
     1 /* -*- mode: C++; indent-tabs-mode: nil; -*-
     2  *
     3  * This file is a part of LEMON, a generic C++ optimization library.
     4  *
     5  * Copyright (C) 2003-2009
     6  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
     7  * (Egervary Research Group on Combinatorial Optimization, EGRES).
     8  *
     9  * Permission to use, modify and distribute this software is granted
    10  * provided that this copyright notice appears in all copies. For
    11  * precise terms see the accompanying LICENSE file.
    12  *
    13  * This software is provided "AS IS" with no warranty of any kind,
    14  * express or implied, and with no claim as to its suitability for any
    15  * purpose.
    16  *
    17  */
    18 
    19 #ifndef LEMON_MATH_H
    20 #define LEMON_MATH_H
    21 
    22 ///\ingroup misc
    23 ///\file
    24 ///\brief Some extensions to the standard \c cmath library.
    25 ///
    26 ///Some extensions to the standard \c cmath library.
    27 ///
    28 ///This file includes the standard math library (cmath).
    29 
    30 #include<cmath>
    31 
    32 namespace lemon {
    33 
    34   /// \addtogroup misc
    35   /// @{
    36 
    37   /// The Euler constant
    38   const long double E       = 2.7182818284590452353602874713526625L;
    39   /// log_2(e)
    40   const long double LOG2E   = 1.4426950408889634073599246810018921L;
    41   /// log_10(e)
    42   const long double LOG10E  = 0.4342944819032518276511289189166051L;
    43   /// ln(2)
    44   const long double LN2     = 0.6931471805599453094172321214581766L;
    45   /// ln(10)
    46   const long double LN10    = 2.3025850929940456840179914546843642L;
    47   /// pi
    48   const long double PI      = 3.1415926535897932384626433832795029L;
    49   /// pi/2
    50   const long double PI_2    = 1.5707963267948966192313216916397514L;
    51   /// pi/4
    52   const long double PI_4    = 0.7853981633974483096156608458198757L;
    53   /// sqrt(2)
    54   const long double SQRT2   = 1.4142135623730950488016887242096981L;
    55   /// 1/sqrt(2)
    56   const long double SQRT1_2 = 0.7071067811865475244008443621048490L;
    57 
    58   ///Check whether the parameter is NaN or not
    59   
    60   ///This function checks whether the parameter is NaN or not.
    61   ///Is should be equivalent with std::isnan(), but it is not
    62   ///provided by all compilers.
    63   inline bool isNaN(double v)
    64     {
    65       return v!=v;
    66     }
    67 
    68   /// @}
    69 
    70 } //namespace lemon
    71 
    72 #endif //LEMON_TOLERANCE_H