New upstream version 8.1.0

This commit is contained in:
geos_one
2025-08-10 01:34:16 +02:00
commit c891bb7105
4398 changed files with 838833 additions and 0 deletions

View File

@@ -0,0 +1,18 @@
/* boost random/detail/config.hpp header file
*
* Copyright Steven Watanabe 2009
* 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.
*
* $Id$
*/
#include <boost/config.hpp>
#if (defined(BOOST_NO_OPERATORS_IN_NAMESPACE) || defined(BOOST_NO_MEMBER_TEMPLATE_FRIENDS)) \
&& !defined(BOOST_MSVC)
#define BOOST_RANDOM_NO_STREAM_OPERATORS
#endif

View File

@@ -0,0 +1,216 @@
/* boost random/detail/const_mod.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.
*
* $Id$
*
* Revision history
* 2001-02-18 moved to individual header files
*/
#ifndef BOOST_RANDOM_CONST_MOD_HPP
#define BOOST_RANDOM_CONST_MOD_HPP
#include <boost/assert.hpp>
#include <boost/static_assert.hpp>
#include <boost/integer_traits.hpp>
#include <boost/type_traits/make_unsigned.hpp>
#include <boost/random/detail/large_arithmetic.hpp>
#include <boost/random/detail/disable_warnings.hpp>
namespace boost {
namespace random {
template<class IntType, IntType m>
class const_mod
{
public:
static IntType apply(IntType x)
{
if(((unsigned_m() - 1) & unsigned_m()) == 0)
return (unsigned_type(x)) & (unsigned_m() - 1);
else {
IntType suppress_warnings = (m == 0);
BOOST_ASSERT(suppress_warnings == 0);
return x % (m + suppress_warnings);
}
}
static IntType add(IntType x, IntType c)
{
if(((unsigned_m() - 1) & unsigned_m()) == 0)
return (unsigned_type(x) + unsigned_type(c)) & (unsigned_m() - 1);
else if(c == 0)
return x;
else if(x < m - c)
return x + c;
else
return x - (m - c);
}
static IntType mult(IntType a, IntType x)
{
if(((unsigned_m() - 1) & unsigned_m()) == 0)
return unsigned_type(a) * unsigned_type(x) & (unsigned_m() - 1);
else if(a == 0)
return 0;
else if(a == 1)
return x;
else if(m <= traits::const_max/a) // i.e. a*m <= max
return mult_small(a, x);
else if(traits::is_signed && (m%a < m/a))
return mult_schrage(a, x);
else
return mult_general(a, x);
}
static IntType mult_add(IntType a, IntType x, IntType c)
{
if(((unsigned_m() - 1) & unsigned_m()) == 0)
return (unsigned_type(a) * unsigned_type(x) + unsigned_type(c)) & (unsigned_m() - 1);
else if(a == 0)
return c;
else if(m <= (traits::const_max-c)/a) { // i.e. a*m+c <= max
IntType suppress_warnings = (m == 0);
BOOST_ASSERT(suppress_warnings == 0);
return (a*x+c) % (m + suppress_warnings);
} else
return add(mult(a, x), c);
}
static IntType pow(IntType a, boost::uintmax_t exponent)
{
IntType result = 1;
while(exponent != 0) {
if(exponent % 2 == 1) {
result = mult(result, a);
}
a = mult(a, a);
exponent /= 2;
}
return result;
}
static IntType invert(IntType x)
{ return x == 0 ? 0 : (m == 0? invert_euclidian0(x) : invert_euclidian(x)); }
private:
typedef integer_traits<IntType> traits;
typedef typename make_unsigned<IntType>::type unsigned_type;
const_mod(); // don't instantiate
static IntType mult_small(IntType a, IntType x)
{
IntType suppress_warnings = (m == 0);
BOOST_ASSERT(suppress_warnings == 0);
return a*x % (m + suppress_warnings);
}
static IntType mult_schrage(IntType a, IntType value)
{
const IntType q = m / a;
const IntType r = m % a;
BOOST_ASSERT(r < q); // check that overflow cannot happen
return sub(a*(value%q), r*(value/q));
}
static IntType mult_general(IntType a, IntType b)
{
IntType suppress_warnings = (m == 0);
BOOST_ASSERT(suppress_warnings == 0);
IntType modulus = m + suppress_warnings;
BOOST_ASSERT(modulus == m);
if(::boost::uintmax_t(modulus) <=
(::std::numeric_limits< ::boost::uintmax_t>::max)() / modulus)
{
return static_cast<IntType>(boost::uintmax_t(a) * b % modulus);
} else {
return static_cast<IntType>(detail::mulmod(a, b, modulus));
}
}
static IntType sub(IntType a, IntType b)
{
if(a < b)
return m - (b - a);
else
return a - b;
}
static unsigned_type unsigned_m()
{
if(m == 0) {
return unsigned_type((std::numeric_limits<IntType>::max)()) + 1;
} else {
return unsigned_type(m);
}
}
// invert c in the finite field (mod m) (m must be prime)
static IntType invert_euclidian(IntType c)
{
// we are interested in the gcd factor for c, because this is our inverse
BOOST_ASSERT(c > 0);
IntType l1 = 0;
IntType l2 = 1;
IntType n = c;
IntType p = m;
for(;;) {
IntType q = p / n;
l1 += q * l2;
p -= q * n;
if(p == 0)
return l2;
IntType q2 = n / p;
l2 += q2 * l1;
n -= q2 * p;
if(n == 0)
return m - l1;
}
}
// invert c in the finite field (mod m) (c must be relatively prime to m)
static IntType invert_euclidian0(IntType c)
{
// we are interested in the gcd factor for c, because this is our inverse
BOOST_ASSERT(c > 0);
if(c == 1) return 1;
IntType l1 = 0;
IntType l2 = 1;
IntType n = c;
IntType p = m;
IntType max = (std::numeric_limits<IntType>::max)();
IntType q = max / n;
BOOST_ASSERT(max % n != n - 1 && "c must be relatively prime to m.");
l1 += q * l2;
p = max - q * n + 1;
for(;;) {
if(p == 0)
return l2;
IntType q2 = n / p;
l2 += q2 * l1;
n -= q2 * p;
if(n == 0)
return m - l1;
q = p / n;
l1 += q * l2;
p -= q * n;
}
}
};
} // namespace random
} // namespace boost
#include <boost/random/detail/enable_warnings.hpp>
#endif // BOOST_RANDOM_CONST_MOD_HPP

View File

@@ -0,0 +1,29 @@
/* boost random/detail/disable_warnings.hpp header file
*
* Copyright Steven Watanabe 2009
* 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.
*
* $Id$
*
*/
// No #include guard. This header is intended to be included multiple times.
#include <boost/config.hpp>
#ifdef BOOST_MSVC
#pragma warning(push)
#pragma warning(disable:4512)
#pragma warning(disable:4127)
#pragma warning(disable:4724)
#pragma warning(disable:4800) // 'int' : forcing value to bool 'true' or 'false' (performance warning)
#endif
#if defined(BOOST_GCC) && BOOST_GCC >= 40600
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wlogical-op"
#endif

View File

@@ -0,0 +1,22 @@
/* boost random/detail/enable_warnings.hpp header file
*
* Copyright Steven Watanabe 2009
* 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.
*
* $Id$
*
*/
// No #include guard. This header is intended to be included multiple times.
#ifdef BOOST_MSVC
#pragma warning(pop)
#endif
#if defined(BOOST_GCC) && BOOST_GCC >= 40600
#pragma GCC diagnostic pop
#endif

View File

@@ -0,0 +1,36 @@
/* boost random/detail/generator_bits.hpp header file
*
* Copyright Steven Watanabe 2011
* 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.
*
* $Id$
*
*/
#ifndef BOOST_RANDOM_DETAIL_GENERATOR_BITS_HPP
#define BOOST_RANDOM_DETAIL_GENERATOR_BITS_HPP
#include <boost/limits.hpp>
namespace boost {
namespace random {
namespace detail {
// This is a temporary measure that retains backwards
// compatibility.
template<class URNG>
struct generator_bits {
static std::size_t value() {
return std::numeric_limits<typename URNG::result_type>::digits;
}
};
} // namespace detail
} // namespace random
} // namespace boost
#endif // BOOST_RANDOM_DETAIL_GENERATOR_BITS_HPP

View File

@@ -0,0 +1,84 @@
/* boost random/detail/integer_log2.hpp header file
*
* Copyright Steven Watanabe 2011
* 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.
*
* $Id$
*
*/
#ifndef BOOST_RANDOM_DETAIL_INTEGER_LOG2_HPP
#define BOOST_RANDOM_DETAIL_INTEGER_LOG2_HPP
#include <boost/config.hpp>
#include <boost/limits.hpp>
#include <boost/pending/integer_log2.hpp>
namespace boost {
namespace random {
namespace detail {
#if !defined(BOOST_NO_CXX11_CONSTEXPR)
#define BOOST_RANDOM_DETAIL_CONSTEXPR constexpr
#elif defined(BOOST_MSVC)
#define BOOST_RANDOM_DETAIL_CONSTEXPR __forceinline
#elif defined(__GNUC__) && __GNUC__ >= 4
#define BOOST_RANDOM_DETAIL_CONSTEXPR inline __attribute__((__const__)) __attribute__((__always_inline__))
#else
#define BOOST_RANDOM_DETAIL_CONSTEXPR inline
#endif
template<int Shift>
struct integer_log2_impl
{
#if defined(BOOST_NO_CXX11_CONSTEXPR)
template<class T>
BOOST_RANDOM_DETAIL_CONSTEXPR static int apply(T t, int accum)
{
int update = ((t >> Shift) != 0) * Shift;
return integer_log2_impl<Shift / 2>::apply(t >> update, accum + update);
}
#else
template<class T>
BOOST_RANDOM_DETAIL_CONSTEXPR static int apply2(T t, int accum, int update)
{
return integer_log2_impl<Shift / 2>::apply(t >> update, accum + update);
}
template<class T>
BOOST_RANDOM_DETAIL_CONSTEXPR static int apply(T t, int accum)
{
return apply2(t, accum, ((t >> Shift) != 0) * Shift);
}
#endif
};
template<>
struct integer_log2_impl<1>
{
template<class T>
BOOST_RANDOM_DETAIL_CONSTEXPR static int apply(T t, int accum)
{
return int(t >> 1) + accum;
}
};
template<class T>
BOOST_RANDOM_DETAIL_CONSTEXPR int integer_log2(T t)
{
return integer_log2_impl<
::boost::detail::max_pow2_less<
::std::numeric_limits<T>::digits, 4
>::value
>::apply(t, 0);
}
} // namespace detail
} // namespace random
} // namespace boost
#endif // BOOST_RANDOM_DETAIL_INTEGER_LOG2_HPP

View File

@@ -0,0 +1,122 @@
/* boost random/detail/large_arithmetic.hpp header file
*
* Copyright Steven Watanabe 2011
* 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.
*
* $Id$
*/
#ifndef BOOST_RANDOM_DETAIL_LARGE_ARITHMETIC_HPP
#define BOOST_RANDOM_DETAIL_LARGE_ARITHMETIC_HPP
#include <boost/cstdint.hpp>
#include <boost/integer.hpp>
#include <boost/limits.hpp>
#include <boost/random/detail/integer_log2.hpp>
#include <boost/random/detail/disable_warnings.hpp>
namespace boost {
namespace random {
namespace detail {
struct div_t {
boost::uintmax_t quotient;
boost::uintmax_t remainder;
};
inline div_t muldivmod(boost::uintmax_t a, boost::uintmax_t b, boost::uintmax_t m)
{
const int bits =
::std::numeric_limits< ::boost::uintmax_t>::digits / 2;
const ::boost::uintmax_t mask = (::boost::uintmax_t(1) << bits) - 1;
typedef ::boost::uint_t<bits>::fast digit_t;
int shift = std::numeric_limits< ::boost::uintmax_t>::digits - 1
- detail::integer_log2(m);
a <<= shift;
m <<= shift;
digit_t product[4] = { 0, 0, 0, 0 };
digit_t a_[2] = { digit_t(a & mask), digit_t((a >> bits) & mask) };
digit_t b_[2] = { digit_t(b & mask), digit_t((b >> bits) & mask) };
digit_t m_[2] = { digit_t(m & mask), digit_t((m >> bits) & mask) };
// multiply a * b
for(int i = 0; i < 2; ++i) {
digit_t carry = 0;
for(int j = 0; j < 2; ++j) {
::boost::uint64_t temp = ::boost::uintmax_t(a_[i]) * b_[j] +
carry + product[i + j];
product[i + j] = digit_t(temp & mask);
carry = digit_t(temp >> bits);
}
if(carry != 0) {
product[i + 2] += carry;
}
}
digit_t quotient[2];
if(m == 0) {
div_t result = {
((::boost::uintmax_t(product[3]) << bits) | product[2]),
((::boost::uintmax_t(product[1]) << bits) | product[0]) >> shift,
};
return result;
}
// divide product / m
for(int i = 3; i >= 2; --i) {
::boost::uintmax_t temp =
::boost::uintmax_t(product[i]) << bits | product[i - 1];
digit_t q = digit_t((product[i] == m_[1]) ? mask : temp / m_[1]);
::boost::uintmax_t rem =
((temp - ::boost::uintmax_t(q) * m_[1]) << bits) + product[i - 2];
::boost::uintmax_t diff = m_[0] * ::boost::uintmax_t(q);
int error = 0;
if(diff > rem) {
if(diff - rem > m) {
error = 2;
} else {
error = 1;
}
}
q -= error;
rem = rem + error * m - diff;
quotient[i - 2] = q;
product[i] = 0;
product[i-1] = static_cast<digit_t>((rem >> bits) & mask);
product[i-2] = static_cast<digit_t>(rem & mask);
}
div_t result = {
((::boost::uintmax_t(quotient[1]) << bits) | quotient[0]),
((::boost::uintmax_t(product[1]) << bits) | product[0]) >> shift,
};
return result;
}
inline boost::uintmax_t muldiv(boost::uintmax_t a, boost::uintmax_t b, boost::uintmax_t m)
{ return detail::muldivmod(a, b, m).quotient; }
inline boost::uintmax_t mulmod(boost::uintmax_t a, boost::uintmax_t b, boost::uintmax_t m)
{ return detail::muldivmod(a, b, m).remainder; }
} // namespace detail
} // namespace random
} // namespace boost
#include <boost/random/detail/enable_warnings.hpp>
#endif // BOOST_RANDOM_DETAIL_LARGE_ARITHMETIC_HPP

View File

@@ -0,0 +1,115 @@
/* boost random/detail/seed.hpp header file
*
* Copyright Steven Watanabe 2009
* 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.
*
* $Id$
*/
#ifndef BOOST_RANDOM_DETAIL_SEED_HPP
#define BOOST_RANDOM_DETAIL_SEED_HPP
#include <boost/config.hpp>
// Sun seems to have trouble with the use of SFINAE for the
// templated constructor. So does Borland.
#if !defined(BOOST_NO_SFINAE) && !defined(__SUNPRO_CC) && !defined(__BORLANDC__)
#include <boost/utility/enable_if.hpp>
#include <boost/type_traits/is_arithmetic.hpp>
#include <boost/mpl/bool.hpp>
namespace boost {
namespace random {
namespace detail {
template<class T>
struct disable_seed : boost::disable_if<boost::is_arithmetic<T> > {};
template<class Engine, class T>
struct disable_constructor : disable_seed<T> {};
template<class Engine>
struct disable_constructor<Engine, Engine> {};
#define BOOST_RANDOM_DETAIL_GENERATOR_CONSTRUCTOR(Self, Generator, gen) \
template<class Generator> \
explicit Self(Generator& gen, typename ::boost::random::detail::disable_constructor<Self, Generator>::type* = 0)
#define BOOST_RANDOM_DETAIL_GENERATOR_SEED(Self, Generator, gen) \
template<class Generator> \
void seed(Generator& gen, typename ::boost::random::detail::disable_seed<Generator>::type* = 0)
#define BOOST_RANDOM_DETAIL_SEED_SEQ_CONSTRUCTOR(Self, SeedSeq, seq) \
template<class SeedSeq> \
explicit Self(SeedSeq& seq, typename ::boost::random::detail::disable_constructor<Self, SeedSeq>::type* = 0)
#define BOOST_RANDOM_DETAIL_SEED_SEQ_SEED(Self, SeedSeq, seq) \
template<class SeedSeq> \
void seed(SeedSeq& seq, typename ::boost::random::detail::disable_seed<SeedSeq>::type* = 0)
#define BOOST_RANDOM_DETAIL_ARITHMETIC_CONSTRUCTOR(Self, T, x) \
explicit Self(const T& x)
#define BOOST_RANDOM_DETAIL_ARITHMETIC_SEED(Self, T, x) \
void seed(const T& x)
}
}
}
#else
#include <boost/type_traits/is_arithmetic.hpp>
#include <boost/mpl/bool.hpp>
#define BOOST_RANDOM_DETAIL_GENERATOR_CONSTRUCTOR(Self, Generator, gen) \
Self(Self& other) { *this = other; } \
Self(const Self& other) { *this = other; } \
template<class Generator> \
explicit Self(Generator& gen) { \
boost_random_constructor_impl(gen, ::boost::is_arithmetic<Generator>());\
} \
template<class Generator> \
void boost_random_constructor_impl(Generator& gen, ::boost::mpl::false_)
#define BOOST_RANDOM_DETAIL_GENERATOR_SEED(Self, Generator, gen) \
template<class Generator> \
void seed(Generator& gen) { \
boost_random_seed_impl(gen, ::boost::is_arithmetic<Generator>());\
}\
template<class Generator>\
void boost_random_seed_impl(Generator& gen, ::boost::mpl::false_)
#define BOOST_RANDOM_DETAIL_SEED_SEQ_CONSTRUCTOR(Self, SeedSeq, seq) \
Self(Self& other) { *this = other; } \
Self(const Self& other) { *this = other; } \
template<class SeedSeq> \
explicit Self(SeedSeq& seq) { \
boost_random_constructor_impl(seq, ::boost::is_arithmetic<SeedSeq>());\
} \
template<class SeedSeq> \
void boost_random_constructor_impl(SeedSeq& seq, ::boost::mpl::false_)
#define BOOST_RANDOM_DETAIL_SEED_SEQ_SEED(Self, SeedSeq, seq) \
template<class SeedSeq> \
void seed(SeedSeq& seq) { \
boost_random_seed_impl(seq, ::boost::is_arithmetic<SeedSeq>()); \
} \
template<class SeedSeq> \
void boost_random_seed_impl(SeedSeq& seq, ::boost::mpl::false_)
#define BOOST_RANDOM_DETAIL_ARITHMETIC_CONSTRUCTOR(Self, T, x) \
explicit Self(const T& x) { boost_random_constructor_impl(x, ::boost::mpl::true_()); }\
void boost_random_constructor_impl(const T& x, ::boost::mpl::true_)
#define BOOST_RANDOM_DETAIL_ARITHMETIC_SEED(Self, T, x) \
void seed(const T& x) { boost_random_seed_impl(x, ::boost::mpl::true_()); }\
void boost_random_seed_impl(const T& x, ::boost::mpl::true_)
#endif
#endif

View File

@@ -0,0 +1,398 @@
/* boost random/detail/seed.hpp header file
*
* Copyright Steven Watanabe 2009
* 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.
*
* $Id$
*/
#ifndef BOOST_RANDOM_DETAIL_SEED_IMPL_HPP
#define BOOST_RANDOM_DETAIL_SEED_IMPL_HPP
#include <stdexcept>
#include <boost/cstdint.hpp>
#include <boost/throw_exception.hpp>
#include <boost/config/no_tr1/cmath.hpp>
#include <boost/integer/integer_mask.hpp>
#include <boost/integer/static_log2.hpp>
#include <boost/random/traits.hpp>
#include <boost/mpl/bool.hpp>
#include <boost/mpl/if.hpp>
#include <boost/mpl/int.hpp>
#include <boost/random/detail/const_mod.hpp>
#include <boost/random/detail/integer_log2.hpp>
#include <boost/random/detail/signed_unsigned_tools.hpp>
#include <boost/random/detail/generator_bits.hpp>
#include <boost/random/detail/disable_warnings.hpp>
namespace boost {
namespace random {
namespace detail {
// finds the seed type of an engine, given its
// result_type. If the result_type is integral
// the seed type is the same. If the result_type
// is floating point, the seed type is uint32_t
template<class T>
struct seed_type
{
typedef typename boost::mpl::if_<boost::is_integral<T>,
T,
boost::uint32_t
>::type type;
};
template<int N>
struct const_pow_impl
{
template<class T>
static T call(T arg, int n, T result)
{
return const_pow_impl<N / 2>::call(T(arg * arg), n / 2,
n%2 == 0? result : T(result * arg));
}
};
template<>
struct const_pow_impl<0>
{
template<class T>
static T call(T, int, T result)
{
return result;
}
};
// requires N is an upper bound on n
template<int N, class T>
inline T const_pow(T arg, int n) { return const_pow_impl<N>::call(arg, n, T(1)); }
template<class T>
inline T pow2(int n)
{
typedef unsigned int_type;
const int max_bits = std::numeric_limits<int_type>::digits;
T multiplier = T(int_type(1) << (max_bits - 1)) * 2;
return (int_type(1) << (n % max_bits)) *
const_pow<std::numeric_limits<T>::digits / max_bits>(multiplier, n / max_bits);
}
template<class Engine, class Iter>
void generate_from_real(Engine& eng, Iter begin, Iter end)
{
using std::fmod;
typedef typename Engine::result_type RealType;
const int Bits = detail::generator_bits<Engine>::value();
int remaining_bits = 0;
boost::uint_least32_t saved_bits = 0;
RealType multiplier = pow2<RealType>( Bits);
RealType mult32 = RealType(4294967296.0); // 2^32
while(true) {
RealType val = eng() * multiplier;
int available_bits = Bits;
// Make sure the compiler can optimize this out
// if it isn't possible.
if(Bits < 32 && available_bits < 32 - remaining_bits) {
saved_bits |= boost::uint_least32_t(val) << remaining_bits;
remaining_bits += Bits;
} else {
// If Bits < 32, then remaining_bits != 0, since
// if remaining_bits == 0, available_bits < 32 - 0,
// and we won't get here to begin with.
if(Bits < 32 || remaining_bits != 0) {
boost::uint_least32_t divisor =
(boost::uint_least32_t(1) << (32 - remaining_bits));
boost::uint_least32_t extra_bits = boost::uint_least32_t(fmod(val, mult32)) & (divisor - 1);
val = val / divisor;
*begin++ = saved_bits | (extra_bits << remaining_bits);
if(begin == end) return;
available_bits -= 32 - remaining_bits;
remaining_bits = 0;
}
// If Bits < 32 we should never enter this loop
if(Bits >= 32) {
for(; available_bits >= 32; available_bits -= 32) {
boost::uint_least32_t word = boost::uint_least32_t(fmod(val, mult32));
val /= mult32;
*begin++ = word;
if(begin == end) return;
}
}
remaining_bits = available_bits;
saved_bits = static_cast<boost::uint_least32_t>(val);
}
}
}
template<class Engine, class Iter>
void generate_from_int(Engine& eng, Iter begin, Iter end)
{
typedef typename Engine::result_type IntType;
typedef typename boost::random::traits::make_unsigned<IntType>::type unsigned_type;
int remaining_bits = 0;
boost::uint_least32_t saved_bits = 0;
unsigned_type range = boost::random::detail::subtract<IntType>()((eng.max)(), (eng.min)());
int bits =
(range == (std::numeric_limits<unsigned_type>::max)()) ?
std::numeric_limits<unsigned_type>::digits :
detail::integer_log2(range + 1);
{
int discarded_bits = detail::integer_log2(bits);
unsigned_type excess = (range + 1) >> (bits - discarded_bits);
if(excess != 0) {
int extra_bits = detail::integer_log2((excess - 1) ^ excess);
bits = bits - discarded_bits + extra_bits;
}
}
unsigned_type mask = (static_cast<unsigned_type>(2) << (bits - 1)) - 1;
unsigned_type limit = ((range + 1) & ~mask) - 1;
while(true) {
unsigned_type val;
do {
val = boost::random::detail::subtract<IntType>()(eng(), (eng.min)());
} while(limit != range && val > limit);
val &= mask;
int available_bits = bits;
if(available_bits == 32) {
*begin++ = static_cast<boost::uint_least32_t>(val) & 0xFFFFFFFFu;
if(begin == end) return;
} else if(available_bits % 32 == 0) {
for(int i = 0; i < available_bits / 32; ++i) {
boost::uint_least32_t word = boost::uint_least32_t(val) & 0xFFFFFFFFu;
int suppress_warning = (bits >= 32);
BOOST_ASSERT(suppress_warning == 1);
val >>= (32 * suppress_warning);
*begin++ = word;
if(begin == end) return;
}
} else if(bits < 32 && available_bits < 32 - remaining_bits) {
saved_bits |= boost::uint_least32_t(val) << remaining_bits;
remaining_bits += bits;
} else {
if(bits < 32 || remaining_bits != 0) {
boost::uint_least32_t extra_bits = boost::uint_least32_t(val) & ((boost::uint_least32_t(1) << (32 - remaining_bits)) - 1);
val >>= 32 - remaining_bits;
*begin++ = saved_bits | (extra_bits << remaining_bits);
if(begin == end) return;
available_bits -= 32 - remaining_bits;
remaining_bits = 0;
}
if(bits >= 32) {
for(; available_bits >= 32; available_bits -= 32) {
boost::uint_least32_t word = boost::uint_least32_t(val) & 0xFFFFFFFFu;
int suppress_warning = (bits >= 32);
BOOST_ASSERT(suppress_warning == 1);
val >>= (32 * suppress_warning);
*begin++ = word;
if(begin == end) return;
}
}
remaining_bits = available_bits;
saved_bits = static_cast<boost::uint_least32_t>(val);
}
}
}
template<class Engine, class Iter>
void generate_impl(Engine& eng, Iter first, Iter last, boost::mpl::true_)
{
return detail::generate_from_int(eng, first, last);
}
template<class Engine, class Iter>
void generate_impl(Engine& eng, Iter first, Iter last, boost::mpl::false_)
{
return detail::generate_from_real(eng, first, last);
}
template<class Engine, class Iter>
void generate(Engine& eng, Iter first, Iter last)
{
return detail::generate_impl(eng, first, last, boost::random::traits::is_integral<typename Engine::result_type>());
}
template<class IntType, IntType m, class SeedSeq>
IntType seed_one_int(SeedSeq& seq)
{
static const int log = ::boost::mpl::if_c<(m == 0),
::boost::mpl::int_<(::std::numeric_limits<IntType>::digits)>,
::boost::static_log2<m> >::type::value;
static const int k =
(log + ((~(static_cast<IntType>(2) << (log - 1)) & m)? 32 : 31)) / 32;
::boost::uint_least32_t array[log / 32 + 4];
seq.generate(&array[0], &array[0] + k + 3);
IntType s = 0;
for(int j = 0; j < k; ++j) {
IntType digit = const_mod<IntType, m>::apply(IntType(array[j+3]));
IntType mult = IntType(1) << 32*j;
s = const_mod<IntType, m>::mult_add(mult, digit, s);
}
return s;
}
template<class IntType, IntType m, class Iter>
IntType get_one_int(Iter& first, Iter last)
{
static const int log = ::boost::mpl::if_c<(m == 0),
::boost::mpl::int_<(::std::numeric_limits<IntType>::digits)>,
::boost::static_log2<m> >::type::value;
static const int k =
(log + ((~(static_cast<IntType>(2) << (log - 1)) & m)? 32 : 31)) / 32;
IntType s = 0;
for(int j = 0; j < k; ++j) {
if(first == last) {
boost::throw_exception(::std::invalid_argument("Not enough elements in call to seed."));
}
IntType digit = const_mod<IntType, m>::apply(IntType(*first++));
IntType mult = IntType(1) << 32*j;
s = const_mod<IntType, m>::mult_add(mult, digit, s);
}
return s;
}
// TODO: work in-place whenever possible
template<int w, std::size_t n, class SeedSeq, class UIntType>
void seed_array_int_impl(SeedSeq& seq, UIntType (&x)[n])
{
boost::uint_least32_t storage[((w+31)/32) * n];
seq.generate(&storage[0], &storage[0] + ((w+31)/32) * n);
for(std::size_t j = 0; j < n; j++) {
UIntType val = 0;
for(std::size_t k = 0; k < (w+31)/32; ++k) {
val += static_cast<UIntType>(storage[(w+31)/32*j + k]) << 32*k;
}
x[j] = val & ::boost::low_bits_mask_t<w>::sig_bits;
}
}
template<int w, std::size_t n, class SeedSeq, class IntType>
inline void seed_array_int_impl(SeedSeq& seq, IntType (&x)[n], boost::mpl::true_)
{
BOOST_STATIC_ASSERT_MSG(boost::is_integral<IntType>::value, "Sorry but this routine has not been ported to non built-in integers as it relies on a reinterpret_cast.");
typedef typename boost::make_unsigned<IntType>::type unsigned_array[n];
seed_array_int_impl<w>(seq, reinterpret_cast<unsigned_array&>(x));
}
template<int w, std::size_t n, class SeedSeq, class IntType>
inline void seed_array_int_impl(SeedSeq& seq, IntType (&x)[n], boost::mpl::false_)
{
seed_array_int_impl<w>(seq, x);
}
template<int w, std::size_t n, class SeedSeq, class IntType>
inline void seed_array_int(SeedSeq& seq, IntType (&x)[n])
{
seed_array_int_impl<w>(seq, x, boost::random::traits::is_signed<IntType>());
}
template<int w, std::size_t n, class Iter, class UIntType>
void fill_array_int_impl(Iter& first, Iter last, UIntType (&x)[n])
{
for(std::size_t j = 0; j < n; j++) {
UIntType val = 0;
for(std::size_t k = 0; k < (w+31)/32; ++k) {
if(first == last) {
boost::throw_exception(std::invalid_argument("Not enough elements in call to seed."));
}
val += static_cast<UIntType>(*first++) << 32*k;
}
x[j] = val & ::boost::low_bits_mask_t<w>::sig_bits;
}
}
template<int w, std::size_t n, class Iter, class IntType>
inline void fill_array_int_impl(Iter& first, Iter last, IntType (&x)[n], boost::mpl::true_)
{
BOOST_STATIC_ASSERT_MSG(boost::is_integral<IntType>::value, "Sorry but this routine has not been ported to non built-in integers as it relies on a reinterpret_cast.");
typedef typename boost::make_unsigned<IntType>::type unsigned_array[n];
fill_array_int_impl<w>(first, last, reinterpret_cast<unsigned_array&>(x));
}
template<int w, std::size_t n, class Iter, class IntType>
inline void fill_array_int_impl(Iter& first, Iter last, IntType (&x)[n], boost::mpl::false_)
{
fill_array_int_impl<w>(first, last, x);
}
template<int w, std::size_t n, class Iter, class IntType>
inline void fill_array_int(Iter& first, Iter last, IntType (&x)[n])
{
fill_array_int_impl<w>(first, last, x, boost::random::traits::is_signed<IntType>());
}
template<int w, std::size_t n, class RealType>
void seed_array_real_impl(const boost::uint_least32_t* storage, RealType (&x)[n])
{
boost::uint_least32_t mask = ~((~boost::uint_least32_t(0)) << (w%32));
RealType two32 = 4294967296.0;
const RealType divisor = RealType(1)/detail::pow2<RealType>(w);
unsigned int j;
for(j = 0; j < n; ++j) {
RealType val = RealType(0);
RealType mult = divisor;
for(int k = 0; k < w/32; ++k) {
val += *storage++ * mult;
mult *= two32;
}
if(mask != 0) {
val += (*storage++ & mask) * mult;
}
BOOST_ASSERT(val >= 0);
BOOST_ASSERT(val < 1);
x[j] = val;
}
}
template<int w, std::size_t n, class SeedSeq, class RealType>
void seed_array_real(SeedSeq& seq, RealType (&x)[n])
{
using std::pow;
boost::uint_least32_t storage[((w+31)/32) * n];
seq.generate(&storage[0], &storage[0] + ((w+31)/32) * n);
seed_array_real_impl<w>(storage, x);
}
template<int w, std::size_t n, class Iter, class RealType>
void fill_array_real(Iter& first, Iter last, RealType (&x)[n])
{
boost::uint_least32_t mask = ~((~boost::uint_least32_t(0)) << (w%32));
RealType two32 = 4294967296.0;
const RealType divisor = RealType(1)/detail::pow2<RealType>(w);
unsigned int j;
for(j = 0; j < n; ++j) {
RealType val = RealType(0);
RealType mult = divisor;
for(int k = 0; k < w/32; ++k, ++first) {
if(first == last) boost::throw_exception(std::invalid_argument("Not enough elements in call to seed."));
val += *first * mult;
mult *= two32;
}
if(mask != 0) {
if(first == last) boost::throw_exception(std::invalid_argument("Not enough elements in call to seed."));
val += (*first & mask) * mult;
++first;
}
BOOST_ASSERT(val >= 0);
BOOST_ASSERT(val < 1);
x[j] = val;
}
}
}
}
}
#include <boost/random/detail/enable_warnings.hpp>
#endif

View File

@@ -0,0 +1,89 @@
/* boost random/detail/signed_unsigned_tools.hpp header file
*
* Copyright Jens Maurer 2006
* 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.
*/
#ifndef BOOST_RANDOM_DETAIL_SIGNED_UNSIGNED_TOOLS
#define BOOST_RANDOM_DETAIL_SIGNED_UNSIGNED_TOOLS
#include <boost/limits.hpp>
#include <boost/config.hpp>
#include <boost/random/traits.hpp>
namespace boost {
namespace random {
namespace detail {
/*
* Compute x - y, we know that x >= y, return an unsigned value.
*/
template<class T, bool sgn = std::numeric_limits<T>::is_signed && std::numeric_limits<T>::is_bounded>
struct subtract { };
template<class T>
struct subtract<T, /* signed */ false>
{
typedef T result_type;
result_type operator()(T x, T y) { return x - y; }
};
template<class T>
struct subtract<T, /* signed */ true>
{
typedef typename boost::random::traits::make_unsigned_or_unbounded<T>::type result_type;
result_type operator()(T x, T y)
{
if (y >= 0) // because x >= y, it follows that x >= 0, too
return result_type(x) - result_type(y);
if (x >= 0) // y < 0
// avoid the nasty two's complement case for y == min()
return result_type(x) + result_type(-(y+1)) + 1;
// both x and y are negative: no signed overflow
return result_type(x - y);
}
};
/*
* Compute x + y, x is unsigned, result fits in type of "y".
*/
template<class T1, class T2, bool sgn = (std::numeric_limits<T2>::is_signed && (std::numeric_limits<T1>::digits >= std::numeric_limits<T2>::digits))>
struct add { };
template<class T1, class T2>
struct add<T1, T2, /* signed or else T2 has more digits than T1 so the cast always works - needed when T2 is a multiprecision type and T1 is a native integer */ false>
{
typedef T2 result_type;
result_type operator()(T1 x, T2 y) { return T2(x) + y; }
};
template<class T1, class T2>
struct add<T1, T2, /* signed */ true>
{
typedef T2 result_type;
result_type operator()(T1 x, T2 y)
{
if (y >= 0)
return T2(x) + y;
// y < 0
if (x > T1(-(y+1))) // result >= 0 after subtraction
// avoid the nasty two's complement edge case for y == min()
return T2(x - T1(-(y+1)) - 1);
// abs(x) < abs(y), thus T2 able to represent x
return T2(x) + y;
}
};
} // namespace detail
} // namespace random
} // namespace boost
#endif // BOOST_RANDOM_DETAIL_SIGNED_UNSIGNED_TOOLS

View File

@@ -0,0 +1,466 @@
/* boost random/linear_congruential.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.
*
* $Id$
*
* Revision history
* 2001-02-18 moved to individual header files
*/
#ifndef BOOST_RANDOM_LINEAR_CONGRUENTIAL_HPP
#define BOOST_RANDOM_LINEAR_CONGRUENTIAL_HPP
#include <iostream>
#include <stdexcept>
#include <boost/assert.hpp>
#include <boost/config.hpp>
#include <boost/cstdint.hpp>
#include <boost/limits.hpp>
#include <boost/static_assert.hpp>
#include <boost/integer/static_log2.hpp>
#include <boost/mpl/if.hpp>
#include <boost/type_traits/is_arithmetic.hpp>
#include <boost/random/detail/config.hpp>
#include <boost/random/detail/const_mod.hpp>
#include <boost/random/detail/seed.hpp>
#include <boost/random/detail/seed_impl.hpp>
#include <boost/detail/workaround.hpp>
#include <boost/random/detail/disable_warnings.hpp>
namespace boost {
namespace random {
/**
* Instantiations of class template linear_congruential_engine model a
* \pseudo_random_number_generator. Linear congruential pseudo-random
* number generators are described in:
*
* @blockquote
* "Mathematical methods in large-scale computing units", D. H. Lehmer,
* Proc. 2nd Symposium on Large-Scale Digital Calculating Machines,
* Harvard University Press, 1951, pp. 141-146
* @endblockquote
*
* Let x(n) denote the sequence of numbers returned by some pseudo-random
* number generator. Then for the linear congruential generator,
* x(n+1) := (a * x(n) + c) mod m. Parameters for the generator are
* x(0), a, c, m. The template parameter IntType shall denote an integral
* type. It must be large enough to hold values a, c, and m. The template
* parameters a and c must be smaller than m.
*
* Note: The quality of the generator crucially depends on the choice of
* the parameters. User code should use one of the sensibly parameterized
* generators such as minstd_rand instead.
*/
template<class IntType, IntType a, IntType c, IntType m>
class linear_congruential_engine
{
public:
typedef IntType result_type;
// Required for old Boost.Random concept
BOOST_STATIC_CONSTANT(bool, has_fixed_range = false);
BOOST_STATIC_CONSTANT(IntType, multiplier = a);
BOOST_STATIC_CONSTANT(IntType, increment = c);
BOOST_STATIC_CONSTANT(IntType, modulus = m);
BOOST_STATIC_CONSTANT(IntType, default_seed = 1);
BOOST_STATIC_ASSERT(std::numeric_limits<IntType>::is_integer);
BOOST_STATIC_ASSERT(m == 0 || a < m);
BOOST_STATIC_ASSERT(m == 0 || c < m);
/**
* Constructs a @c linear_congruential_engine, using the default seed
*/
linear_congruential_engine() { seed(); }
/**
* Constructs a @c linear_congruential_engine, seeding it with @c x0.
*/
BOOST_RANDOM_DETAIL_ARITHMETIC_CONSTRUCTOR(linear_congruential_engine,
IntType, x0)
{ seed(x0); }
/**
* Constructs a @c linear_congruential_engine, seeding it with values
* produced by a call to @c seq.generate().
*/
BOOST_RANDOM_DETAIL_SEED_SEQ_CONSTRUCTOR(linear_congruential_engine,
SeedSeq, seq)
{ seed(seq); }
/**
* Constructs a @c linear_congruential_engine and seeds it
* with values taken from the itrator range [first, last)
* and adjusts first to point to the element after the last one
* used. If there are not enough elements, throws @c std::invalid_argument.
*
* first and last must be input iterators.
*/
template<class It>
linear_congruential_engine(It& first, It last)
{
seed(first, last);
}
// compiler-generated copy constructor and assignment operator are fine
/**
* Calls seed(default_seed)
*/
void seed() { seed(default_seed); }
/**
* If c mod m is zero and x0 mod m is zero, changes the current value of
* the generator to 1. Otherwise, changes it to x0 mod m. If c is zero,
* distinct seeds in the range [1,m) will leave the generator in distinct
* states. If c is not zero, the range is [0,m).
*/
BOOST_RANDOM_DETAIL_ARITHMETIC_SEED(linear_congruential_engine, IntType, x0)
{
// wrap _x if it doesn't fit in the destination
if(modulus == 0) {
_x = x0;
} else {
_x = x0 % modulus;
}
// handle negative seeds
if(_x <= 0 && _x != 0) {
_x += modulus;
}
// adjust to the correct range
if(increment == 0 && _x == 0) {
_x = 1;
}
BOOST_ASSERT(_x >= (min)());
BOOST_ASSERT(_x <= (max)());
}
/**
* Seeds a @c linear_congruential_engine using values from a SeedSeq.
*/
BOOST_RANDOM_DETAIL_SEED_SEQ_SEED(linear_congruential_engine, SeedSeq, seq)
{ seed(detail::seed_one_int<IntType, m>(seq)); }
/**
* seeds a @c linear_congruential_engine with values taken
* from the itrator range [first, last) and adjusts @c first to
* point to the element after the last one used. If there are
* not enough elements, throws @c std::invalid_argument.
*
* @c first and @c last must be input iterators.
*/
template<class It>
void seed(It& first, It last)
{ seed(detail::get_one_int<IntType, m>(first, last)); }
/**
* Returns the smallest value that the @c linear_congruential_engine
* can produce.
*/
static result_type min BOOST_PREVENT_MACRO_SUBSTITUTION ()
{ return c == 0 ? 1 : 0; }
/**
* Returns the largest value that the @c linear_congruential_engine
* can produce.
*/
static result_type max BOOST_PREVENT_MACRO_SUBSTITUTION ()
{ return modulus-1; }
/** Returns the next value of the @c linear_congruential_engine. */
IntType operator()()
{
_x = const_mod<IntType, m>::mult_add(a, _x, c);
return _x;
}
/** Fills a range with random values */
template<class Iter>
void generate(Iter first, Iter last)
{ detail::generate_from_int(*this, first, last); }
/** Advances the state of the generator by @c z. */
void discard(boost::uintmax_t z)
{
typedef const_mod<IntType, m> mod_type;
IntType b_inv = mod_type::invert(a-1);
IntType b_gcd = mod_type::mult(a-1, b_inv);
if(b_gcd == 1) {
IntType a_z = mod_type::pow(a, z);
_x = mod_type::mult_add(a_z, _x,
mod_type::mult(mod_type::mult(c, b_inv), a_z - 1));
} else {
// compute (a^z - 1)*c % (b_gcd * m) / (b / b_gcd) * inv(b / b_gcd)
// we're storing the intermediate result / b_gcd
IntType a_zm1_over_gcd = 0;
IntType a_km1_over_gcd = (a - 1) / b_gcd;
boost::uintmax_t exponent = z;
while(exponent != 0) {
if(exponent % 2 == 1) {
a_zm1_over_gcd =
mod_type::mult_add(
b_gcd,
mod_type::mult(a_zm1_over_gcd, a_km1_over_gcd),
mod_type::add(a_zm1_over_gcd, a_km1_over_gcd));
}
a_km1_over_gcd = mod_type::mult_add(
b_gcd,
mod_type::mult(a_km1_over_gcd, a_km1_over_gcd),
mod_type::add(a_km1_over_gcd, a_km1_over_gcd));
exponent /= 2;
}
IntType a_z = mod_type::mult_add(b_gcd, a_zm1_over_gcd, 1);
IntType num = mod_type::mult(c, a_zm1_over_gcd);
b_inv = mod_type::invert((a-1)/b_gcd);
_x = mod_type::mult_add(a_z, _x, mod_type::mult(b_inv, num));
}
}
friend bool operator==(const linear_congruential_engine& x,
const linear_congruential_engine& y)
{ return x._x == y._x; }
friend bool operator!=(const linear_congruential_engine& x,
const linear_congruential_engine& y)
{ return !(x == y); }
#if !defined(BOOST_RANDOM_NO_STREAM_OPERATORS)
/** Writes a @c linear_congruential_engine to a @c std::ostream. */
template<class CharT, class Traits>
friend std::basic_ostream<CharT,Traits>&
operator<<(std::basic_ostream<CharT,Traits>& os,
const linear_congruential_engine& lcg)
{
return os << lcg._x;
}
/** Reads a @c linear_congruential_engine from a @c std::istream. */
template<class CharT, class Traits>
friend std::basic_istream<CharT,Traits>&
operator>>(std::basic_istream<CharT,Traits>& is,
linear_congruential_engine& lcg)
{
lcg.read(is);
return is;
}
#endif
private:
/// \cond show_private
template<class CharT, class Traits>
void read(std::basic_istream<CharT, Traits>& is) {
IntType x;
if(is >> x) {
if(x >= (min)() && x <= (max)()) {
_x = x;
} else {
is.setstate(std::ios_base::failbit);
}
}
}
/// \endcond
IntType _x;
};
#ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
// A definition is required even for integral static constants
template<class IntType, IntType a, IntType c, IntType m>
const bool linear_congruential_engine<IntType, a, c, m>::has_fixed_range;
template<class IntType, IntType a, IntType c, IntType m>
const IntType linear_congruential_engine<IntType,a,c,m>::multiplier;
template<class IntType, IntType a, IntType c, IntType m>
const IntType linear_congruential_engine<IntType,a,c,m>::increment;
template<class IntType, IntType a, IntType c, IntType m>
const IntType linear_congruential_engine<IntType,a,c,m>::modulus;
template<class IntType, IntType a, IntType c, IntType m>
const IntType linear_congruential_engine<IntType,a,c,m>::default_seed;
#endif
/// \cond show_deprecated
// provided for backwards compatibility
template<class IntType, IntType a, IntType c, IntType m, IntType val = 0>
class linear_congruential : public linear_congruential_engine<IntType, a, c, m>
{
typedef linear_congruential_engine<IntType, a, c, m> base_type;
public:
linear_congruential(IntType x0 = 1) : base_type(x0) {}
template<class It>
linear_congruential(It& first, It last) : base_type(first, last) {}
};
/// \endcond
/**
* The specialization \minstd_rand0 was originally suggested in
*
* @blockquote
* A pseudo-random number generator for the System/360, P.A. Lewis,
* A.S. Goodman, J.M. Miller, IBM Systems Journal, Vol. 8, No. 2,
* 1969, pp. 136-146
* @endblockquote
*
* It is examined more closely together with \minstd_rand in
*
* @blockquote
* "Random Number Generators: Good ones are hard to find",
* Stephen K. Park and Keith W. Miller, Communications of
* the ACM, Vol. 31, No. 10, October 1988, pp. 1192-1201
* @endblockquote
*/
typedef linear_congruential_engine<uint32_t, 16807, 0, 2147483647> minstd_rand0;
/** The specialization \minstd_rand was suggested in
*
* @blockquote
* "Random Number Generators: Good ones are hard to find",
* Stephen K. Park and Keith W. Miller, Communications of
* the ACM, Vol. 31, No. 10, October 1988, pp. 1192-1201
* @endblockquote
*/
typedef linear_congruential_engine<uint32_t, 48271, 0, 2147483647> minstd_rand;
#if !defined(BOOST_NO_INT64_T) && !defined(BOOST_NO_INTEGRAL_INT64_T)
/**
* Class @c rand48 models a \pseudo_random_number_generator. It uses
* the linear congruential algorithm with the parameters a = 0x5DEECE66D,
* c = 0xB, m = 2**48. It delivers identical results to the @c lrand48()
* function available on some systems (assuming lcong48 has not been called).
*
* It is only available on systems where @c uint64_t is provided as an
* integral type, so that for example static in-class constants and/or
* enum definitions with large @c uint64_t numbers work.
*/
class rand48
{
public:
typedef boost::uint32_t result_type;
BOOST_STATIC_CONSTANT(bool, has_fixed_range = false);
/**
* Returns the smallest value that the generator can produce
*/
static uint32_t min BOOST_PREVENT_MACRO_SUBSTITUTION () { return 0; }
/**
* Returns the largest value that the generator can produce
*/
static uint32_t max BOOST_PREVENT_MACRO_SUBSTITUTION ()
{ return 0x7FFFFFFF; }
/** Seeds the generator with the default seed. */
rand48() : lcf(cnv(static_cast<uint32_t>(1))) {}
/**
* Constructs a \rand48 generator with x(0) := (x0 << 16) | 0x330e.
*/
BOOST_RANDOM_DETAIL_ARITHMETIC_CONSTRUCTOR(rand48, result_type, x0)
{ seed(x0); }
/**
* Seeds the generator with values produced by @c seq.generate().
*/
BOOST_RANDOM_DETAIL_SEED_SEQ_CONSTRUCTOR(rand48, SeedSeq, seq)
{ seed(seq); }
/**
* Seeds the generator using values from an iterator range,
* and updates first to point one past the last value consumed.
*/
template<class It> rand48(It& first, It last) : lcf(first, last) { }
// compiler-generated copy ctor and assignment operator are fine
/** Seeds the generator with the default seed. */
void seed() { seed(static_cast<uint32_t>(1)); }
/**
* Changes the current value x(n) of the generator to (x0 << 16) | 0x330e.
*/
BOOST_RANDOM_DETAIL_ARITHMETIC_SEED(rand48, result_type, x0)
{ lcf.seed(cnv(x0)); }
/**
* Seeds the generator using values from an iterator range,
* and updates first to point one past the last value consumed.
*/
template<class It> void seed(It& first, It last) { lcf.seed(first,last); }
/**
* Seeds the generator with values produced by @c seq.generate().
*/
BOOST_RANDOM_DETAIL_SEED_SEQ_SEED(rand48, SeedSeq, seq)
{ lcf.seed(seq); }
/** Returns the next value of the generator. */
uint32_t operator()() { return static_cast<uint32_t>(lcf() >> 17); }
/** Advances the state of the generator by @c z. */
void discard(boost::uintmax_t z) { lcf.discard(z); }
/** Fills a range with random values */
template<class Iter>
void generate(Iter first, Iter last)
{
for(; first != last; ++first) {
*first = (*this)();
}
}
#ifndef BOOST_RANDOM_NO_STREAM_OPERATORS
/** Writes a @c rand48 to a @c std::ostream. */
template<class CharT,class Traits>
friend std::basic_ostream<CharT,Traits>&
operator<<(std::basic_ostream<CharT,Traits>& os, const rand48& r)
{ os << r.lcf; return os; }
/** Reads a @c rand48 from a @c std::istream. */
template<class CharT,class Traits>
friend std::basic_istream<CharT,Traits>&
operator>>(std::basic_istream<CharT,Traits>& is, rand48& r)
{ is >> r.lcf; return is; }
#endif
/**
* Returns true if the two generators will produce identical
* sequences of values.
*/
friend bool operator==(const rand48& x, const rand48& y)
{ return x.lcf == y.lcf; }
/**
* Returns true if the two generators will produce different
* sequences of values.
*/
friend bool operator!=(const rand48& x, const rand48& y)
{ return !(x == y); }
private:
/// \cond show_private
typedef random::linear_congruential_engine<uint64_t,
// xxxxULL is not portable
uint64_t(0xDEECE66DUL) | (uint64_t(0x5) << 32),
0xB, uint64_t(1)<<48> lcf_t;
lcf_t lcf;
static boost::uint64_t cnv(boost::uint32_t x)
{ return (static_cast<uint64_t>(x) << 16) | 0x330e; }
/// \endcond
};
#endif /* !BOOST_NO_INT64_T && !BOOST_NO_INTEGRAL_INT64_T */
} // namespace random
using random::minstd_rand0;
using random::minstd_rand;
using random::rand48;
} // namespace boost
#include <boost/random/detail/enable_warnings.hpp>
#endif // BOOST_RANDOM_LINEAR_CONGRUENTIAL_HPP

View File

@@ -0,0 +1,107 @@
/* boost random/traits.hpp header file
*
* Copyright John Maddock 2015
* 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.
*
* These traits classes serve two purposes: they are designed to mostly
* work out of the box for multiprecision types (ie number types that are
* C++ class types and not integers or floats from type-traits point of view),
* they are also a potential point of specialization for user-defined
* number types.
*
* $Id$
*/
#ifndef BOOST_RANDOM_TRAITS_HPP
#define BOOST_RANDOM_TRAITS_HPP
#include <boost/type_traits/is_signed.hpp>
#include <boost/type_traits/is_integral.hpp>
#include <boost/type_traits/make_unsigned.hpp>
#include <boost/mpl/bool.hpp>
#include <limits>
namespace boost {
namespace random {
namespace traits {
// \cond show_private
template <class T, bool intrinsic>
struct make_unsigned_imp
{
typedef typename boost::make_unsigned<T>::type type;
};
template <class T>
struct make_unsigned_imp<T, false>
{
BOOST_STATIC_ASSERT(std::numeric_limits<T>::is_specialized);
BOOST_STATIC_ASSERT(std::numeric_limits<T>::is_signed == false);
BOOST_STATIC_ASSERT(std::numeric_limits<T>::is_integer == true);
typedef T type;
};
// \endcond
/** \brief Converts the argument type T to an unsigned type.
*
* This trait has a single member `type` which is the unsigned type corresponding to T.
* Note that
* if T is signed, then member `type` *should define a type with one more bit precision than T*. For built-in
* types this trait defaults to `boost::make_unsigned<T>::type`. For user defined types it simply asserts that
* the argument type T is an unsigned integer (using std::numeric_limits).
* User defined specializations may be provided for other cases.
*/
template <class T>
struct make_unsigned
// \cond show_private
: public make_unsigned_imp < T, boost::is_integral<T>::value >
// \endcond
{};
// \cond show_private
template <class T, bool intrinsic>
struct make_unsigned_or_unbounded_imp
{
typedef typename boost::make_unsigned<T>::type type;
};
template <class T>
struct make_unsigned_or_unbounded_imp<T, false>
{
BOOST_STATIC_ASSERT(std::numeric_limits<T>::is_specialized);
BOOST_STATIC_ASSERT((std::numeric_limits<T>::is_signed == false) || (std::numeric_limits<T>::is_bounded == false));
BOOST_STATIC_ASSERT(std::numeric_limits<T>::is_integer == true);
typedef T type;
};
// \endcond
/** \brief Converts the argument type T to either an unsigned type or an unbounded integer type.
*
* This trait has a single member `type` which is either the unsigned type corresponding to T or an unbounded
* integer type. This trait is used to generate types suitable for the calculation of a range: as a result
* if T is signed, then member `type` *should define a type with one more bit precision than T*. For built-in
* types this trait defaults to `boost::make_unsigned<T>::type`. For user defined types it simply asserts that
* the argument type T is either an unbounded integer, or an unsigned one (using std::numeric_limits).
* User defined specializations may be provided for other cases.
*/
template <class T>
struct make_unsigned_or_unbounded
// \cond show_private
: public make_unsigned_or_unbounded_imp < T, boost::is_integral<T>::value >
// \endcond
{};
/** \brief Traits class that indicates whether type T is an integer
*/
template <class T>
struct is_integral
: public mpl::bool_<boost::is_integral<T>::value || (std::numeric_limits<T>::is_integer)>
{};
/** \brief Traits class that indicates whether type T is a signed integer
*/
template <class T> struct is_signed
: public mpl::bool_ < boost::is_signed<T>::value || (std::numeric_limits<T>::is_specialized && std::numeric_limits<T>::is_integer && std::numeric_limits<T>::is_signed)>
{};
}
}
}
#endif