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alpar (Alpar Juttner)
alpar@cs.elte.hu
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/* -*- C++ -*-
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 *
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 * This file is a part of LEMON, a generic C++ optimization library
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 *
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 * Copyright (C) 2003-2008
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 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
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 * (Egervary Research Group on Combinatorial Optimization, EGRES).
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 *
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 * Permission to use, modify and distribute this software is granted
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 * provided that this copyright notice appears in all copies. For
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 * precise terms see the accompanying LICENSE file.
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 *
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 * This software is provided "AS IS" with no warranty of any kind,
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 * express or implied, and with no claim as to its suitability for any
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 * purpose.
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 *
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 */
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#ifndef LEMON_MATH_H
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#define LEMON_MATH_H
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///\ingroup misc
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///\file
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///\brief Some extensions to the standard \c cmath library.
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///
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///Some extensions to the standard \c cmath library.
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///
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///This file includes the standard math library (cmath).
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#include<cmath>
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namespace lemon {
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  /// \addtogroup misc
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  /// @{
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  /// The Euler constant
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  const long double E       = 2.7182818284590452353602874713526625L;
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  /// log_2(e)
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  const long double LOG2E   = 1.4426950408889634073599246810018921L;
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  /// log_10(e)
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  const long double LOG10E  = 0.4342944819032518276511289189166051L;
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  /// ln(2)
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  const long double LN2     = 0.6931471805599453094172321214581766L;
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  /// ln(10)
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  const long double LN10    = 2.3025850929940456840179914546843642L;
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  /// pi
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  const long double PI      = 3.1415926535897932384626433832795029L;
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  /// pi/2
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  const long double PI_2    = 1.5707963267948966192313216916397514L;
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  /// pi/4
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  const long double PI_4    = 0.7853981633974483096156608458198757L;
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  /// sqrt(2)
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  const long double SQRT2   = 1.4142135623730950488016887242096981L;
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  /// 1/sqrt(2)
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  const long double SQRT1_2 = 0.7071067811865475244008443621048490L;
57
  
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  /// @}
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} //namespace lemon
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#endif //LEMON_TOLERANCE_H
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EXTRA_DIST += \
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	lemon/Makefile \
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	lemon/lemon.pc.in
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pkgconfig_DATA += lemon/lemon.pc
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lib_LTLIBRARIES += lemon/libemon.la
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lemon_libemon_la_SOURCES = \
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        lemon/base.cc \
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        lemon/random.cc
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lemon_libemon_la_CXXFLAGS = $(GLPK_CFLAGS) $(CPLEX_CFLAGS) $(SOPLEX_CXXFLAGS)
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lemon_libemon_la_LDFLAGS = $(GLPK_LIBS) $(CPLEX_LIBS) $(SOPLEX_LIBS)
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lemon_HEADERS += \
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        lemon/concept_check.h \
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        lemon/dim2.h \
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	lemon/error.h \
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	lemon/list_graph.h \
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	lemon/maps.h \
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	lemon/math.h \
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        lemon/random.h \
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        lemon/tolerance.h
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bits_HEADERS += \
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	lemon/bits/alteration_notifier.h \
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	lemon/bits/array_map.h \
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	lemon/bits/base_extender.h \
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	lemon/bits/default_map.h \
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	lemon/bits/graph_extender.h \
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        lemon/bits/invalid.h \
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	lemon/bits/map_extender.h \
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	lemon/bits/traits.h \
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        lemon/bits/utility.h \
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	lemon/bits/vector_map.h
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concept_HEADERS += \
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	lemon/concept_check.h \
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	lemon/concepts/digraph.h \
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	lemon/concepts/graph.h \
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	lemon/concepts/maps.h \
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	lemon/concepts/graph_components.h
Show white space 96 line context
... ...
@@ -22,99 +22,100 @@
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 *
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 * See the appropriate copyright notice below.
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 * 
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 * Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
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 * All rights reserved.                          
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 *
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 * Redistribution and use in source and binary forms, with or without
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 * modification, are permitted provided that the following conditions
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 * are met:
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 *
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 * 1. Redistributions of source code must retain the above copyright
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 *    notice, this list of conditions and the following disclaimer.
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 *
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 * 2. Redistributions in binary form must reproduce the above copyright
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 *    notice, this list of conditions and the following disclaimer in the
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 *    documentation and/or other materials provided with the distribution.
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 *
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 * 3. The names of its contributors may not be used to endorse or promote 
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 *    products derived from this software without specific prior written 
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 *    permission.
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 *
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 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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 * FOR A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE
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 * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
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 * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
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 * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
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 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
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 * OF THE POSSIBILITY OF SUCH DAMAGE.
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 *
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 *
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 * Any feedback is very welcome.
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 * http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html
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 * email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space)
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 */
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#ifndef LEMON_RANDOM_H
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#define LEMON_RANDOM_H
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#include <algorithm>
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#include <iterator>
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#include <vector>
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#include <ctime>
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#include <cmath>
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#include <lemon/math.h>
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#include <lemon/dim2.h>
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///\ingroup misc
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///\file
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///\brief Mersenne Twister random number generator
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namespace lemon {
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  namespace _random_bits {
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    template <typename _Word, int _bits = std::numeric_limits<_Word>::digits>
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    struct RandomTraits {};
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    template <typename _Word>
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    struct RandomTraits<_Word, 32> {
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      typedef _Word Word;
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      static const int bits = 32;
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      static const int length = 624;
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      static const int shift = 397;
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      static const Word mul = 0x6c078965u;
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      static const Word arrayInit = 0x012BD6AAu;
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      static const Word arrayMul1 = 0x0019660Du;
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      static const Word arrayMul2 = 0x5D588B65u;
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      static const Word mask = 0x9908B0DFu;
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      static const Word loMask = (1u << 31) - 1;
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      static const Word hiMask = ~loMask;
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      static Word tempering(Word rnd) {
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        rnd ^= (rnd >> 11);
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        rnd ^= (rnd << 7) & 0x9D2C5680u;
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        rnd ^= (rnd << 15) & 0xEFC60000u;
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        rnd ^= (rnd >> 18);
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        return rnd;
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      }
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    };
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    template <typename _Word>
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    struct RandomTraits<_Word, 64> {
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      typedef _Word Word;
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      static const int bits = 64;
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      static const int length = 312;
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      static const int shift = 156;
... ...
@@ -714,97 +715,97 @@
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	V1=2*real<double>()-1;
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	V2=2*real<double>()-1;
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	S=V1*V1+V2*V2;
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      } while(S>=1);
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      return std::sqrt(-2*std::log(S)/S)*V1;
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    }
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    /// Gauss distribution with given mean and standard deviation
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    /// Gauss distribution with given mean and standard deviation.
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    /// \sa gauss()
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    double gauss(double mean,double std_dev)
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    {
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      return gauss()*std_dev+mean;
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    }
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    /// Exponential distribution with given mean
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    /// This function generates an exponential distribution random number
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    /// with mean <tt>1/lambda</tt>.
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    ///
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    double exponential(double lambda=1.0)
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    {
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      return -std::log(1.0-real<double>())/lambda;
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    }
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    /// Gamma distribution with given integer shape
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    /// This function generates a gamma distribution random number.
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    /// 
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    ///\param k shape parameter (<tt>k>0</tt> integer)
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    double gamma(int k) 
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    {
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      double s = 0;
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      for(int i=0;i<k;i++) s-=std::log(1.0-real<double>());
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      return s;
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    }
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    /// Gamma distribution with given shape and scale parameter
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    /// This function generates a gamma distribution random number.
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    /// 
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    ///\param k shape parameter (<tt>k>0</tt>)
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    ///\param theta scale parameter
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    ///
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    double gamma(double k,double theta=1.0)
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    {
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      double xi,nu;
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      const double delta = k-std::floor(k);
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      const double v0=M_E/(M_E-delta);
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      const double v0=E/(E-delta);
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      do {
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	double V0=1.0-real<double>();
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	double V1=1.0-real<double>();
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	double V2=1.0-real<double>();
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	if(V2<=v0) 
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	  {
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	    xi=std::pow(V1,1.0/delta);
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	    nu=V0*std::pow(xi,delta-1.0);
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	  }
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	else 
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	  {
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	    xi=1.0-std::log(V1);
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	    nu=V0*std::exp(-xi);
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	  }
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      } while(nu>std::pow(xi,delta-1.0)*std::exp(-xi));
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      return theta*(xi-gamma(int(std::floor(k))));
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    }
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    /// Weibull distribution
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    /// This function generates a Weibull distribution random number.
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    /// 
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    ///\param k shape parameter (<tt>k>0</tt>)
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    ///\param lambda scale parameter (<tt>lambda>0</tt>)
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    ///
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    double weibull(double k,double lambda)
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    {
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      return lambda*pow(-std::log(1.0-real<double>()),1.0/k);
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    }  
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    /// Pareto distribution
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    /// This function generates a Pareto distribution random number.
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    /// 
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    ///\param k shape parameter (<tt>k>0</tt>)
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    ///\param x_min location parameter (<tt>x_min>0</tt>)
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    ///
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    double pareto(double k,double x_min)
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    {
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      return exponential(gamma(k,1.0/x_min));
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    }  
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    ///@}
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    ///\name Two dimensional distributions
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    ///
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    ///@{
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