lagged_fibonacci.hpp

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/* boost random/lagged_fibonacci.hpp header file
 *
 * Copyright Jens Maurer 2000-2001
 * Distributed under the Boost Software License, Version 1.0. (See
 * accompanying file LICENSE_1_0.txt or copy at
 * http://www.boost.org/LICENSE_1_0.txt)
 *
 * See http://www.boost.org for most recent version including documentation.
 *
 * $Id: lagged_fibonacci.hpp,v 1.28 2005/05/21 15:57:00 dgregor Exp $
 *
 * Revision history
 *  2001-02-18  moved to individual header files
 */

#ifndef BOOST_RANDOM_LAGGED_FIBONACCI_HPP
#define BOOST_RANDOM_LAGGED_FIBONACCI_HPP

#include <cmath>
#include <iostream>
#include <algorithm>     // std::max
#include <iterator>
#include <cmath>         // std::pow
#include <boost/config.hpp>
#include <boost/limits.hpp>
#include <boost/cstdint.hpp>
#include <boost/detail/workaround.hpp>
#include <boost/random/linear_congruential.hpp>
#include <boost/random/uniform_01.hpp>
#include <boost/random/detail/pass_through_engine.hpp>

namespace boost {
namespace random {

#if BOOST_WORKAROUND(_MSC_FULL_VER, BOOST_TESTED_AT(13102292)) && BOOST_MSVC > 1300
#  define BOOST_RANDOM_EXTRACT_LF
#endif

#if defined(__APPLE_CC__) && defined(__GNUC__) && (__GNUC__ == 3) && (__GNUC_MINOR__ <= 3)
#  define BOOST_RANDOM_EXTRACT_LF
#endif

#  ifdef BOOST_RANDOM_EXTRACT_LF
namespace detail
{
  template<class IStream, class F, class RealType>
  IStream&
  extract_lagged_fibonacci_01(
      IStream& is
      , F const& f
      , unsigned int& i
      , RealType* x
      , RealType modulus)
  {
        is >> i >> std::ws;
        for(unsigned int i = 0; i < f.long_lag; ++i)
        {
            RealType value;
            is >> value >> std::ws;
            x[i] = value / modulus;
        }
        return is;
  }

  template<class IStream, class F, class UIntType>
  IStream&
  extract_lagged_fibonacci(
      IStream& is
      , F const& f
      , unsigned int& i
      , UIntType* x)
  {
      is >> i >> std::ws;
      for(unsigned int i = 0; i < f.long_lag; ++i)
          is >> x[i] >> std::ws;
      return is;
  }
}
#  endif

template<class UIntType, int w, unsigned int p, unsigned int q,
         UIntType val = 0>
class lagged_fibonacci
{
public:
  typedef UIntType result_type;
  BOOST_STATIC_CONSTANT(bool, has_fixed_range = false);
  BOOST_STATIC_CONSTANT(int, word_size = w);
  BOOST_STATIC_CONSTANT(unsigned int, long_lag = p);
  BOOST_STATIC_CONSTANT(unsigned int, short_lag = q);

  result_type min BOOST_PREVENT_MACRO_SUBSTITUTION () const { return 0; }
  result_type max BOOST_PREVENT_MACRO_SUBSTITUTION () const { return wordmask; }

  lagged_fibonacci() { init_wordmask(); seed(); }
  explicit lagged_fibonacci(uint32_t value) { init_wordmask(); seed(value); }
  template<class It> lagged_fibonacci(It& first, It last)
  { init_wordmask(); seed(first, last); }
  // compiler-generated copy ctor and assignment operator are fine

private:
  void init_wordmask()
  {
    wordmask = 0;
    for(int i = 0; i < w; ++i)
      wordmask |= (1u << i);
  }

public:
  void seed(uint32_t value = 331u)
  {
    minstd_rand0 gen(value);
    for(unsigned int j = 0; j < long_lag; ++j)
      x[j] = gen() & wordmask;
    i = long_lag;
  }

  template<class It>
  void seed(It& first, It last)
  {
    // word size could be smaller than the seed values
    unsigned int j;
    for(j = 0; j < long_lag && first != last; ++j, ++first)
      x[j] = *first & wordmask;
    i = long_lag;
    if(first == last && j < long_lag)
      throw std::invalid_argument("lagged_fibonacci::seed");
  }

  result_type operator()()
  {
    if(i >= long_lag)
      fill();
    return x[i++];
  }

  static bool validation(result_type x)
  {
    return x == val;
  }
  
#ifndef BOOST_NO_OPERATORS_IN_NAMESPACE

#ifndef BOOST_NO_MEMBER_TEMPLATE_FRIENDS
  template<class CharT, class Traits>
  friend std::basic_ostream<CharT,Traits>&
  operator<<(std::basic_ostream<CharT,Traits>& os, const lagged_fibonacci& f)
  {
    os << f.i << " ";
    for(unsigned int i = 0; i < f.long_lag; ++i)
      os << f.x[i] << " ";
    return os;
  }

  template<class CharT, class Traits>
  friend std::basic_istream<CharT, Traits>&
  operator>>(std::basic_istream<CharT, Traits>& is, lagged_fibonacci& f)
  {
# ifdef BOOST_RANDOM_EXTRACT_LF
      return detail::extract_lagged_fibonacci(is, f, f.i, f.x);
# else
      is >> f.i >> std::ws;
      for(unsigned int i = 0; i < f.long_lag; ++i)
          is >> f.x[i] >> std::ws;
      return is;
# endif 
  }
#endif

  friend bool operator==(const lagged_fibonacci& x, const lagged_fibonacci& y)
  { return x.i == y.i && std::equal(x.x, x.x+long_lag, y.x); }
  friend bool operator!=(const lagged_fibonacci& x,
                         const lagged_fibonacci& y)
  { return !(x == y); }
#else
  // Use a member function; Streamable concept not supported.
  bool operator==(const lagged_fibonacci& rhs) const
  { return i == rhs.i && std::equal(x, x+long_lag, rhs.x); }
  bool operator!=(const lagged_fibonacci& rhs) const
  { return !(*this == rhs); }
#endif

private:
  void fill();
  UIntType wordmask;
  unsigned int i;
  UIntType x[long_lag];
};

#ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
//  A definition is required even for integral static constants
template<class UIntType, int w, unsigned int p, unsigned int q, UIntType val>
const bool lagged_fibonacci<UIntType, w, p, q, val>::has_fixed_range;
template<class UIntType, int w, unsigned int p, unsigned int q, UIntType val>
const unsigned int lagged_fibonacci<UIntType, w, p, q, val>::long_lag;
template<class UIntType, int w, unsigned int p, unsigned int q, UIntType val>
const unsigned int lagged_fibonacci<UIntType, w, p, q, val>::short_lag;
#endif

template<class UIntType, int w, unsigned int p, unsigned int q, UIntType val>
void lagged_fibonacci<UIntType, w, p, q, val>::fill()
{
  // two loops to avoid costly modulo operations
  {  // extra scope for MSVC brokenness w.r.t. for scope
  for(unsigned int j = 0; j < short_lag; ++j)
    x[j] = (x[j] + x[j+(long_lag-short_lag)]) & wordmask;
  }
  for(unsigned int j = short_lag; j < long_lag; ++j)
    x[j] = (x[j] + x[j-short_lag]) & wordmask;
  i = 0;
}



// lagged Fibonacci generator for the range [0..1)
// contributed by Matthias Troyer
// for p=55, q=24 originally by G. J. Mitchell and D. P. Moore 1958

template<class T, unsigned int p, unsigned int q>
struct fibonacci_validation
{
  BOOST_STATIC_CONSTANT(bool, is_specialized = false);
  static T value() { return 0; }
  static T tolerance() { return 0; }
};

#ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
//  A definition is required even for integral static constants
template<class T, unsigned int p, unsigned int q>
const bool fibonacci_validation<T, p, q>::is_specialized;
#endif

#define BOOST_RANDOM_FIBONACCI_VAL(T,P,Q,V,E) \