mirror of
https://github.com/SoftFever/OrcaSlicer.git
synced 2025-10-22 00:01:09 -06:00
Initial work for G-code sender and more intensive usage of Boost
This commit is contained in:
parent
43cbad8867
commit
11dd67ab34
1649 changed files with 1860 additions and 1642 deletions
18
xs/include/boost/random/detail/config.hpp
Normal file
18
xs/include/boost/random/detail/config.hpp
Normal 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: config.hpp 52492 2009-04-19 14:55:57Z steven_watanabe $
|
||||
*/
|
||||
|
||||
#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
|
216
xs/include/boost/random/detail/const_mod.hpp
Normal file
216
xs/include/boost/random/detail/const_mod.hpp
Normal 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: const_mod.hpp 71018 2011-04-05 21:27:52Z steven_watanabe $
|
||||
*
|
||||
* 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 supress_warnings = (m == 0);
|
||||
BOOST_ASSERT(supress_warnings == 0);
|
||||
return x % (m + supress_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 supress_warnings = (m == 0);
|
||||
BOOST_ASSERT(supress_warnings == 0);
|
||||
return (a*x+c) % (m + supress_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 supress_warnings = (m == 0);
|
||||
BOOST_ASSERT(supress_warnings == 0);
|
||||
return a*x % (m + supress_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
|
23
xs/include/boost/random/detail/disable_warnings.hpp
Normal file
23
xs/include/boost/random/detail/disable_warnings.hpp
Normal file
|
@ -0,0 +1,23 @@
|
|||
/* 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: disable_warnings.hpp 60755 2010-03-22 00:45:06Z steven_watanabe $
|
||||
*
|
||||
*/
|
||||
|
||||
// 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)
|
||||
#endif
|
18
xs/include/boost/random/detail/enable_warnings.hpp
Normal file
18
xs/include/boost/random/detail/enable_warnings.hpp
Normal file
|
@ -0,0 +1,18 @@
|
|||
/* 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: enable_warnings.hpp 58649 2010-01-02 21:23:17Z steven_watanabe $
|
||||
*
|
||||
*/
|
||||
|
||||
// No #include guard. This header is intended to be included multiple times.
|
||||
|
||||
#ifdef BOOST_MSVC
|
||||
#pragma warning(pop)
|
||||
#endif
|
36
xs/include/boost/random/detail/generator_bits.hpp
Normal file
36
xs/include/boost/random/detail/generator_bits.hpp
Normal 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: generator_bits.hpp 72951 2011-07-07 04:57:37Z steven_watanabe $
|
||||
*
|
||||
*/
|
||||
|
||||
#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
|
40
xs/include/boost/random/detail/generator_seed_seq.hpp
Normal file
40
xs/include/boost/random/detail/generator_seed_seq.hpp
Normal file
|
@ -0,0 +1,40 @@
|
|||
/* boost random/mersenne_twister.hpp header file
|
||||
*
|
||||
* Copyright Jens Maurer 2000-2001
|
||||
* Copyright Steven Watanabe 2010
|
||||
* 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: generator_seed_seq.hpp 71018 2011-04-05 21:27:52Z steven_watanabe $
|
||||
*
|
||||
*/
|
||||
|
||||
#ifndef BOOST_RANDOM_DETAIL_GENERATOR_SEED_SEQ_HPP_INCLUDED
|
||||
#define BOOST_RANDOM_DETAIL_GENERATOR_SEED_SEQ_HPP_INCLUDED
|
||||
|
||||
namespace boost {
|
||||
namespace random {
|
||||
namespace detail {
|
||||
|
||||
template<class Generator>
|
||||
class generator_seed_seq {
|
||||
public:
|
||||
generator_seed_seq(Generator& g) : gen(&g) {}
|
||||
template<class It>
|
||||
void generate(It first, It last) {
|
||||
for(; first != last; ++first) {
|
||||
*first = (*gen)();
|
||||
}
|
||||
}
|
||||
private:
|
||||
Generator* gen;
|
||||
};
|
||||
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
#endif
|
84
xs/include/boost/random/detail/integer_log2.hpp
Normal file
84
xs/include/boost/random/detail/integer_log2.hpp
Normal 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: integer_log2.hpp 85813 2013-09-21 20:17:00Z jewillco $
|
||||
*
|
||||
*/
|
||||
|
||||
#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
|
122
xs/include/boost/random/detail/large_arithmetic.hpp
Normal file
122
xs/include/boost/random/detail/large_arithmetic.hpp
Normal 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: large_arithmetic.hpp 71018 2011-04-05 21:27:52Z steven_watanabe $
|
||||
*/
|
||||
|
||||
#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)
|
||||
{
|
||||
static const int bits =
|
||||
::std::numeric_limits< ::boost::uintmax_t>::digits / 2;
|
||||
static 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] = (rem >> bits) & mask;
|
||||
product[i-2] = 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
|
84
xs/include/boost/random/detail/operators.hpp
Normal file
84
xs/include/boost/random/detail/operators.hpp
Normal file
|
@ -0,0 +1,84 @@
|
|||
/* boost random/detail/operators.hpp header file
|
||||
*
|
||||
* Copyright Steven Watanabe 2010-2011
|
||||
* 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: operators.hpp 71018 2011-04-05 21:27:52Z steven_watanabe $
|
||||
*/
|
||||
|
||||
#ifndef BOOST_RANDOM_DETAIL_OPERATORS_HPP
|
||||
#define BOOST_RANDOM_DETAIL_OPERATORS_HPP
|
||||
|
||||
#include <boost/random/detail/config.hpp>
|
||||
#include <boost/detail/workaround.hpp>
|
||||
|
||||
#if BOOST_WORKAROUND(BOOST_MSVC, <= 1310) \
|
||||
|| BOOST_WORKAROUND(__SUNPRO_CC, BOOST_TESTED_AT(0x5100))
|
||||
|
||||
#define BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, T, t) \
|
||||
template<class CharT, class Traits> \
|
||||
friend std::basic_ostream<CharT,Traits>& \
|
||||
operator<<(std::basic_ostream<CharT,Traits>& os, const T& t) { \
|
||||
t.print(os, t); \
|
||||
return os; \
|
||||
} \
|
||||
template<class CharT, class Traits> \
|
||||
static std::basic_ostream<CharT,Traits>& \
|
||||
print(std::basic_ostream<CharT,Traits>& os, const T& t)
|
||||
|
||||
#define BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, T, t) \
|
||||
template<class CharT, class Traits> \
|
||||
friend std::basic_istream<CharT,Traits>& \
|
||||
operator>>(std::basic_istream<CharT,Traits>& is, T& t) { \
|
||||
t.read(is, t); \
|
||||
return is; \
|
||||
} \
|
||||
template<class CharT, class Traits> \
|
||||
static std::basic_istream<CharT,Traits>& \
|
||||
read(std::basic_istream<CharT,Traits>& is, T& t)
|
||||
|
||||
#endif
|
||||
|
||||
#if defined(__BORLANDC__)
|
||||
|
||||
#define BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(T, lhs, rhs) \
|
||||
bool operator==(const T& rhs) const \
|
||||
{ return T::is_equal(*this, rhs); } \
|
||||
static bool is_equal(const T& lhs, const T& rhs)
|
||||
|
||||
#define BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(T) \
|
||||
bool operator!=(const T& rhs) const \
|
||||
{ return !T::is_equal(*this, rhs); }
|
||||
|
||||
#endif
|
||||
|
||||
#ifndef BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR
|
||||
#define BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, T, t) \
|
||||
template<class CharT, class Traits> \
|
||||
friend std::basic_ostream<CharT,Traits>& \
|
||||
operator<<(std::basic_ostream<CharT,Traits>& os, const T& t)
|
||||
#endif
|
||||
|
||||
#ifndef BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR
|
||||
#define BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, T, t) \
|
||||
template<class CharT, class Traits> \
|
||||
friend std::basic_istream<CharT,Traits>& \
|
||||
operator>>(std::basic_istream<CharT,Traits>& is, T& t)
|
||||
#endif
|
||||
|
||||
#ifndef BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR
|
||||
#define BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(T, lhs, rhs) \
|
||||
friend bool operator==(const T& lhs, const T& rhs)
|
||||
#endif
|
||||
|
||||
#ifndef BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR
|
||||
#define BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(T) \
|
||||
friend bool operator!=(const T& lhs, const T& rhs) \
|
||||
{ return !(lhs == rhs); }
|
||||
#endif
|
||||
|
||||
#endif
|
94
xs/include/boost/random/detail/ptr_helper.hpp
Normal file
94
xs/include/boost/random/detail/ptr_helper.hpp
Normal file
|
@ -0,0 +1,94 @@
|
|||
/* boost random/detail/ptr_helper.hpp header file
|
||||
*
|
||||
* Copyright Jens Maurer 2002
|
||||
* 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: ptr_helper.hpp 24096 2004-07-27 03:43:34Z dgregor $
|
||||
*
|
||||
*/
|
||||
|
||||
#ifndef BOOST_RANDOM_DETAIL_PTR_HELPER_HPP
|
||||
#define BOOST_RANDOM_DETAIL_PTR_HELPER_HPP
|
||||
|
||||
#include <boost/config.hpp>
|
||||
|
||||
|
||||
namespace boost {
|
||||
namespace random {
|
||||
namespace detail {
|
||||
|
||||
// type_traits could help here, but I don't want to depend on type_traits.
|
||||
template<class T>
|
||||
struct ptr_helper
|
||||
{
|
||||
typedef T value_type;
|
||||
typedef T& reference_type;
|
||||
typedef const T& rvalue_type;
|
||||
static reference_type ref(T& r) { return r; }
|
||||
static const T& ref(const T& r) { return r; }
|
||||
};
|
||||
|
||||
#ifndef BOOST_NO_TEMPLATE_PARTIAL_SPECIALIZATION
|
||||
template<class T>
|
||||
struct ptr_helper<T&>
|
||||
{
|
||||
typedef T value_type;
|
||||
typedef T& reference_type;
|
||||
typedef T& rvalue_type;
|
||||
static reference_type ref(T& r) { return r; }
|
||||
static const T& ref(const T& r) { return r; }
|
||||
};
|
||||
|
||||
template<class T>
|
||||
struct ptr_helper<T*>
|
||||
{
|
||||
typedef T value_type;
|
||||
typedef T& reference_type;
|
||||
typedef T* rvalue_type;
|
||||
static reference_type ref(T * p) { return *p; }
|
||||
static const T& ref(const T * p) { return *p; }
|
||||
};
|
||||
#endif
|
||||
|
||||
} // namespace detail
|
||||
} // namespace random
|
||||
} // namespace boost
|
||||
|
||||
//
|
||||
// BOOST_RANDOM_PTR_HELPER_SPEC --
|
||||
//
|
||||
// Helper macro for broken compilers defines specializations of
|
||||
// ptr_helper.
|
||||
//
|
||||
#ifdef BOOST_NO_TEMPLATE_PARTIAL_SPECIALIZATION
|
||||
# define BOOST_RANDOM_PTR_HELPER_SPEC(T) \
|
||||
namespace boost { namespace random { namespace detail { \
|
||||
template<> \
|
||||
struct ptr_helper<T&> \
|
||||
{ \
|
||||
typedef T value_type; \
|
||||
typedef T& reference_type; \
|
||||
typedef T& rvalue_type; \
|
||||
static reference_type ref(T& r) { return r; } \
|
||||
static const T& ref(const T& r) { return r; } \
|
||||
}; \
|
||||
\
|
||||
template<> \
|
||||
struct ptr_helper<T*> \
|
||||
{ \
|
||||
typedef T value_type; \
|
||||
typedef T& reference_type; \
|
||||
typedef T* rvalue_type; \
|
||||
static reference_type ref(T * p) { return *p; } \
|
||||
static const T& ref(const T * p) { return *p; } \
|
||||
}; \
|
||||
}}}
|
||||
#else
|
||||
# define BOOST_RANDOM_PTR_HELPER_SPEC(T)
|
||||
#endif
|
||||
|
||||
#endif // BOOST_RANDOM_DETAIL_PTR_HELPER_HPP
|
114
xs/include/boost/random/detail/seed.hpp
Normal file
114
xs/include/boost/random/detail/seed.hpp
Normal file
|
@ -0,0 +1,114 @@
|
|||
/* 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: seed.hpp 71018 2011-04-05 21:27:52Z steven_watanabe $
|
||||
*/
|
||||
|
||||
#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>
|
||||
|
||||
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
|
397
xs/include/boost/random/detail/seed_impl.hpp
Normal file
397
xs/include/boost/random/detail/seed_impl.hpp
Normal file
|
@ -0,0 +1,397 @@
|
|||
/* 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: seed_impl.hpp 72951 2011-07-07 04:57:37Z steven_watanabe $
|
||||
*/
|
||||
|
||||
#ifndef BOOST_RANDOM_DETAIL_SEED_IMPL_HPP
|
||||
#define BOOST_RANDOM_DETAIL_SEED_IMPL_HPP
|
||||
|
||||
#include <stdexcept>
|
||||
#include <boost/cstdint.hpp>
|
||||
#include <boost/config/no_tr1/cmath.hpp>
|
||||
#include <boost/integer/integer_mask.hpp>
|
||||
#include <boost/integer/static_log2.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 <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(arg * arg, n / 2,
|
||||
n%2 == 0? result : 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::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 supress_warning = (bits >= 32);
|
||||
BOOST_ASSERT(supress_warning == 1);
|
||||
val >>= (32 * supress_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 supress_warning = (bits >= 32);
|
||||
BOOST_ASSERT(supress_warning == 1);
|
||||
val >>= (32 * supress_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::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) {
|
||||
throw ::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_)
|
||||
{
|
||||
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::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) {
|
||||
throw 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_)
|
||||
{
|
||||
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::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) throw std::invalid_argument("Not enough elements in call to seed.");
|
||||
val += *first * mult;
|
||||
mult *= two32;
|
||||
}
|
||||
if(mask != 0) {
|
||||
if(first == last) throw 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
|
89
xs/include/boost/random/detail/signed_unsigned_tools.hpp
Normal file
89
xs/include/boost/random/detail/signed_unsigned_tools.hpp
Normal 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/type_traits/make_unsigned.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>
|
||||
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 make_unsigned<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>
|
||||
struct add { };
|
||||
|
||||
template<class T1, class T2>
|
||||
struct add<T1, T2, /* signed */ 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
|
||||
|
76
xs/include/boost/random/detail/uniform_int_float.hpp
Normal file
76
xs/include/boost/random/detail/uniform_int_float.hpp
Normal file
|
@ -0,0 +1,76 @@
|
|||
/* boost random/detail/uniform_int_float.hpp header file
|
||||
*
|
||||
* Copyright Jens Maurer 2000-2001
|
||||
* 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: uniform_int_float.hpp 72951 2011-07-07 04:57:37Z steven_watanabe $
|
||||
*
|
||||
*/
|
||||
|
||||
#ifndef BOOST_RANDOM_DETAIL_UNIFORM_INT_FLOAT_HPP
|
||||
#define BOOST_RANDOM_DETAIL_UNIFORM_INT_FLOAT_HPP
|
||||
|
||||
#include <boost/limits.hpp>
|
||||
#include <boost/config.hpp>
|
||||
#include <boost/integer.hpp>
|
||||
#include <boost/random/detail/config.hpp>
|
||||
#include <boost/random/detail/generator_bits.hpp>
|
||||
|
||||
#include <boost/random/detail/disable_warnings.hpp>
|
||||
|
||||
namespace boost {
|
||||
namespace random {
|
||||
namespace detail {
|
||||
|
||||
template<class URNG>
|
||||
class uniform_int_float
|
||||
{
|
||||
public:
|
||||
typedef URNG base_type;
|
||||
typedef typename base_type::result_type base_result;
|
||||
|
||||
typedef typename boost::uint_t<
|
||||
(std::numeric_limits<boost::uintmax_t>::digits <
|
||||
std::numeric_limits<base_result>::digits)?
|
||||
std::numeric_limits<boost::uintmax_t>::digits :
|
||||
std::numeric_limits<base_result>::digits
|
||||
>::fast result_type;
|
||||
|
||||
uniform_int_float(base_type& rng)
|
||||
: _rng(rng) {}
|
||||
|
||||
static result_type min BOOST_PREVENT_MACRO_SUBSTITUTION ()
|
||||
{ return 0; }
|
||||
static result_type max BOOST_PREVENT_MACRO_SUBSTITUTION ()
|
||||
{
|
||||
std::size_t digits = std::numeric_limits<result_type>::digits;
|
||||
if(detail::generator_bits<URNG>::value() < digits) {
|
||||
digits = detail::generator_bits<URNG>::value();
|
||||
}
|
||||
return (result_type(2) << (digits - 1)) - 1;
|
||||
}
|
||||
base_type& base() { return _rng; }
|
||||
const base_type& base() const { return _rng; }
|
||||
|
||||
result_type operator()()
|
||||
{
|
||||
base_result range = static_cast<base_result>((max)())+1;
|
||||
return static_cast<result_type>(_rng() * range);
|
||||
}
|
||||
|
||||
private:
|
||||
base_type& _rng;
|
||||
};
|
||||
|
||||
} // namespace detail
|
||||
} // namespace random
|
||||
} // namespace boost
|
||||
|
||||
#include <boost/random/detail/enable_warnings.hpp>
|
||||
|
||||
#endif // BOOST_RANDOM_DETAIL_UNIFORM_INT_FLOAT_HPP
|
545
xs/include/boost/random/mersenne_twister.hpp
Normal file
545
xs/include/boost/random/mersenne_twister.hpp
Normal file
|
@ -0,0 +1,545 @@
|
|||
/* boost random/mersenne_twister.hpp header file
|
||||
*
|
||||
* Copyright Jens Maurer 2000-2001
|
||||
* Copyright Steven Watanabe 2010
|
||||
* 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: mersenne_twister.hpp 74867 2011-10-09 23:13:31Z steven_watanabe $
|
||||
*
|
||||
* Revision history
|
||||
* 2001-02-18 moved to individual header files
|
||||
*/
|
||||
|
||||
#ifndef BOOST_RANDOM_MERSENNE_TWISTER_HPP
|
||||
#define BOOST_RANDOM_MERSENNE_TWISTER_HPP
|
||||
|
||||
#include <iosfwd>
|
||||
#include <istream>
|
||||
#include <stdexcept>
|
||||
#include <boost/config.hpp>
|
||||
#include <boost/cstdint.hpp>
|
||||
#include <boost/integer/integer_mask.hpp>
|
||||
#include <boost/random/detail/config.hpp>
|
||||
#include <boost/random/detail/ptr_helper.hpp>
|
||||
#include <boost/random/detail/seed.hpp>
|
||||
#include <boost/random/detail/seed_impl.hpp>
|
||||
#include <boost/random/detail/generator_seed_seq.hpp>
|
||||
|
||||
namespace boost {
|
||||
namespace random {
|
||||
|
||||
/**
|
||||
* Instantiations of class template mersenne_twister_engine model a
|
||||
* \pseudo_random_number_generator. It uses the algorithm described in
|
||||
*
|
||||
* @blockquote
|
||||
* "Mersenne Twister: A 623-dimensionally equidistributed uniform
|
||||
* pseudo-random number generator", Makoto Matsumoto and Takuji Nishimura,
|
||||
* ACM Transactions on Modeling and Computer Simulation: Special Issue on
|
||||
* Uniform Random Number Generation, Vol. 8, No. 1, January 1998, pp. 3-30.
|
||||
* @endblockquote
|
||||
*
|
||||
* @xmlnote
|
||||
* The boost variant has been implemented from scratch and does not
|
||||
* derive from or use mt19937.c provided on the above WWW site. However, it
|
||||
* was verified that both produce identical output.
|
||||
* @endxmlnote
|
||||
*
|
||||
* The seeding from an integer was changed in April 2005 to address a
|
||||
* <a href="http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MT2002/emt19937ar.html">weakness</a>.
|
||||
*
|
||||
* The quality of the generator crucially depends on the choice of the
|
||||
* parameters. User code should employ one of the sensibly parameterized
|
||||
* generators such as \mt19937 instead.
|
||||
*
|
||||
* The generator requires considerable amounts of memory for the storage of
|
||||
* its state array. For example, \mt11213b requires about 1408 bytes and
|
||||
* \mt19937 requires about 2496 bytes.
|
||||
*/
|
||||
template<class UIntType,
|
||||
std::size_t w, std::size_t n, std::size_t m, std::size_t r,
|
||||
UIntType a, std::size_t u, UIntType d, std::size_t s,
|
||||
UIntType b, std::size_t t,
|
||||
UIntType c, std::size_t l, UIntType f>
|
||||
class mersenne_twister_engine
|
||||
{
|
||||
public:
|
||||
typedef UIntType result_type;
|
||||
BOOST_STATIC_CONSTANT(std::size_t, word_size = w);
|
||||
BOOST_STATIC_CONSTANT(std::size_t, state_size = n);
|
||||
BOOST_STATIC_CONSTANT(std::size_t, shift_size = m);
|
||||
BOOST_STATIC_CONSTANT(std::size_t, mask_bits = r);
|
||||
BOOST_STATIC_CONSTANT(UIntType, xor_mask = a);
|
||||
BOOST_STATIC_CONSTANT(std::size_t, tempering_u = u);
|
||||
BOOST_STATIC_CONSTANT(UIntType, tempering_d = d);
|
||||
BOOST_STATIC_CONSTANT(std::size_t, tempering_s = s);
|
||||
BOOST_STATIC_CONSTANT(UIntType, tempering_b = b);
|
||||
BOOST_STATIC_CONSTANT(std::size_t, tempering_t = t);
|
||||
BOOST_STATIC_CONSTANT(UIntType, tempering_c = c);
|
||||
BOOST_STATIC_CONSTANT(std::size_t, tempering_l = l);
|
||||
BOOST_STATIC_CONSTANT(UIntType, initialization_multiplier = f);
|
||||
BOOST_STATIC_CONSTANT(UIntType, default_seed = 5489u);
|
||||
|
||||
// backwards compatibility
|
||||
BOOST_STATIC_CONSTANT(UIntType, parameter_a = a);
|
||||
BOOST_STATIC_CONSTANT(std::size_t, output_u = u);
|
||||
BOOST_STATIC_CONSTANT(std::size_t, output_s = s);
|
||||
BOOST_STATIC_CONSTANT(UIntType, output_b = b);
|
||||
BOOST_STATIC_CONSTANT(std::size_t, output_t = t);
|
||||
BOOST_STATIC_CONSTANT(UIntType, output_c = c);
|
||||
BOOST_STATIC_CONSTANT(std::size_t, output_l = l);
|
||||
|
||||
// old Boost.Random concept requirements
|
||||
BOOST_STATIC_CONSTANT(bool, has_fixed_range = false);
|
||||
|
||||
|
||||
/**
|
||||
* Constructs a @c mersenne_twister_engine and calls @c seed().
|
||||
*/
|
||||
mersenne_twister_engine() { seed(); }
|
||||
|
||||
/**
|
||||
* Constructs a @c mersenne_twister_engine and calls @c seed(value).
|
||||
*/
|
||||
BOOST_RANDOM_DETAIL_ARITHMETIC_CONSTRUCTOR(mersenne_twister_engine,
|
||||
UIntType, value)
|
||||
{ seed(value); }
|
||||
template<class It> mersenne_twister_engine(It& first, It last)
|
||||
{ seed(first,last); }
|
||||
|
||||
/**
|
||||
* Constructs a mersenne_twister_engine and calls @c seed(gen).
|
||||
*
|
||||
* @xmlnote
|
||||
* The copy constructor will always be preferred over
|
||||
* the templated constructor.
|
||||
* @endxmlnote
|
||||
*/
|
||||
BOOST_RANDOM_DETAIL_SEED_SEQ_CONSTRUCTOR(mersenne_twister_engine,
|
||||
SeedSeq, seq)
|
||||
{ seed(seq); }
|
||||
|
||||
// compiler-generated copy ctor and assignment operator are fine
|
||||
|
||||
/** Calls @c seed(default_seed). */
|
||||
void seed() { seed(default_seed); }
|
||||
|
||||
/**
|
||||
* Sets the state x(0) to v mod 2w. Then, iteratively,
|
||||
* sets x(i) to
|
||||
* (i + f * (x(i-1) xor (x(i-1) rshift w-2))) mod 2<sup>w</sup>
|
||||
* for i = 1 .. n-1. x(n) is the first value to be returned by operator().
|
||||
*/
|
||||
BOOST_RANDOM_DETAIL_ARITHMETIC_SEED(mersenne_twister_engine, UIntType, value)
|
||||
{
|
||||
// New seeding algorithm from
|
||||
// http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MT2002/emt19937ar.html
|
||||
// In the previous versions, MSBs of the seed affected only MSBs of the
|
||||
// state x[].
|
||||
const UIntType mask = (max)();
|
||||
x[0] = value & mask;
|
||||
for (i = 1; i < n; i++) {
|
||||
// See Knuth "The Art of Computer Programming"
|
||||
// Vol. 2, 3rd ed., page 106
|
||||
x[i] = (f * (x[i-1] ^ (x[i-1] >> (w-2))) + i) & mask;
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* Seeds a mersenne_twister_engine using values produced by seq.generate().
|
||||
*/
|
||||
BOOST_RANDOM_DETAIL_SEED_SEQ_SEED(mersenne_twister_engine, SeeqSeq, seq)
|
||||
{
|
||||
detail::seed_array_int<w>(seq, x);
|
||||
i = n;
|
||||
|
||||
// fix up the state if it's all zeroes.
|
||||
if((x[0] & (~static_cast<UIntType>(0) << r)) == 0) {
|
||||
for(std::size_t j = 1; j < n; ++j) {
|
||||
if(x[j] != 0) return;
|
||||
}
|
||||
x[0] = static_cast<UIntType>(1) << (w-1);
|
||||
}
|
||||
}
|
||||
|
||||
/** Sets the state of the generator using values from an iterator range. */
|
||||
template<class It>
|
||||
void seed(It& first, It last)
|
||||
{
|
||||
detail::fill_array_int<w>(first, last, x);
|
||||
i = n;
|
||||
|
||||
// fix up the state if it's all zeroes.
|
||||
if((x[0] & (~static_cast<UIntType>(0) << r)) == 0) {
|
||||
for(std::size_t j = 1; j < n; ++j) {
|
||||
if(x[j] != 0) return;
|
||||
}
|
||||
x[0] = static_cast<UIntType>(1) << (w-1);
|
||||
}
|
||||
}
|
||||
|
||||
/** Returns the smallest value that the generator can produce. */
|
||||
static result_type min BOOST_PREVENT_MACRO_SUBSTITUTION ()
|
||||
{ return 0; }
|
||||
/** Returns the largest value that the generator can produce. */
|
||||
static result_type max BOOST_PREVENT_MACRO_SUBSTITUTION ()
|
||||
{ return boost::low_bits_mask_t<w>::sig_bits; }
|
||||
|
||||
/** Produces the next value of the generator. */
|
||||
result_type operator()();
|
||||
|
||||
/** 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 steps. Equivalent to
|
||||
*
|
||||
* @code
|
||||
* for(unsigned long long i = 0; i < z; ++i) {
|
||||
* gen();
|
||||
* }
|
||||
* @endcode
|
||||
*/
|
||||
void discard(boost::uintmax_t z)
|
||||
{
|
||||
for(boost::uintmax_t j = 0; j < z; ++j) {
|
||||
(*this)();
|
||||
}
|
||||
}
|
||||
|
||||
#ifndef BOOST_RANDOM_NO_STREAM_OPERATORS
|
||||
/** Writes a mersenne_twister_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 mersenne_twister_engine& mt)
|
||||
{
|
||||
mt.print(os);
|
||||
return os;
|
||||
}
|
||||
|
||||
/** Reads a mersenne_twister_engine from a @c std::istream */
|
||||
template<class CharT, class Traits>
|
||||
friend std::basic_istream<CharT,Traits>&
|
||||
operator>>(std::basic_istream<CharT,Traits>& is,
|
||||
mersenne_twister_engine& mt)
|
||||
{
|
||||
for(std::size_t j = 0; j < mt.state_size; ++j)
|
||||
is >> mt.x[j] >> std::ws;
|
||||
// MSVC (up to 7.1) and Borland (up to 5.64) don't handle the template
|
||||
// value parameter "n" available from the class template scope, so use
|
||||
// the static constant with the same value
|
||||
mt.i = mt.state_size;
|
||||
return is;
|
||||
}
|
||||
#endif
|
||||
|
||||
/**
|
||||
* Returns true if the two generators are in the same state,
|
||||
* and will thus produce identical sequences.
|
||||
*/
|
||||
friend bool operator==(const mersenne_twister_engine& x,
|
||||
const mersenne_twister_engine& y)
|
||||
{
|
||||
if(x.i < y.i) return x.equal_imp(y);
|
||||
else return y.equal_imp(x);
|
||||
}
|
||||
|
||||
/**
|
||||
* Returns true if the two generators are in different states.
|
||||
*/
|
||||
friend bool operator!=(const mersenne_twister_engine& x,
|
||||
const mersenne_twister_engine& y)
|
||||
{ return !(x == y); }
|
||||
|
||||
private:
|
||||
/// \cond show_private
|
||||
|
||||
void twist();
|
||||
|
||||
/**
|
||||
* Does the work of operator==. This is in a member function
|
||||
* for portability. Some compilers, such as msvc 7.1 and
|
||||
* Sun CC 5.10 can't access template parameters or static
|
||||
* members of the class from inline friend functions.
|
||||
*
|
||||
* requires i <= other.i
|
||||
*/
|
||||
bool equal_imp(const mersenne_twister_engine& other) const
|
||||
{
|
||||
UIntType back[n];
|
||||
std::size_t offset = other.i - i;
|
||||
for(std::size_t j = 0; j + offset < n; ++j)
|
||||
if(x[j] != other.x[j+offset])
|
||||
return false;
|
||||
rewind(&back[n-1], offset);
|
||||
for(std::size_t j = 0; j < offset; ++j)
|
||||
if(back[j + n - offset] != other.x[j])
|
||||
return false;
|
||||
return true;
|
||||
}
|
||||
|
||||
/**
|
||||
* Does the work of operator<<. This is in a member function
|
||||
* for portability.
|
||||
*/
|
||||
template<class CharT, class Traits>
|
||||
void print(std::basic_ostream<CharT, Traits>& os) const
|
||||
{
|
||||
UIntType data[n];
|
||||
for(std::size_t j = 0; j < i; ++j) {
|
||||
data[j + n - i] = x[j];
|
||||
}
|
||||
if(i != n) {
|
||||
rewind(&data[n - i - 1], n - i);
|
||||
}
|
||||
os << data[0];
|
||||
for(std::size_t j = 1; j < n; ++j) {
|
||||
os << ' ' << data[j];
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* Copies z elements of the state preceding x[0] into
|
||||
* the array whose last element is last.
|
||||
*/
|
||||
void rewind(UIntType* last, std::size_t z) const
|
||||
{
|
||||
const UIntType upper_mask = (~static_cast<UIntType>(0)) << r;
|
||||
const UIntType lower_mask = ~upper_mask;
|
||||
UIntType y0 = x[m-1] ^ x[n-1];
|
||||
if(y0 & (static_cast<UIntType>(1) << (w-1))) {
|
||||
y0 = ((y0 ^ a) << 1) | 1;
|
||||
} else {
|
||||
y0 = y0 << 1;
|
||||
}
|
||||
for(std::size_t sz = 0; sz < z; ++sz) {
|
||||
UIntType y1 =
|
||||
rewind_find(last, sz, m-1) ^ rewind_find(last, sz, n-1);
|
||||
if(y1 & (static_cast<UIntType>(1) << (w-1))) {
|
||||
y1 = ((y1 ^ a) << 1) | 1;
|
||||
} else {
|
||||
y1 = y1 << 1;
|
||||
}
|
||||
*(last - sz) = (y0 & upper_mask) | (y1 & lower_mask);
|
||||
y0 = y1;
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* Given a pointer to the last element of the rewind array,
|
||||
* and the current size of the rewind array, finds an element
|
||||
* relative to the next available slot in the rewind array.
|
||||
*/
|
||||
UIntType
|
||||
rewind_find(UIntType* last, std::size_t size, std::size_t j) const
|
||||
{
|
||||
std::size_t index = (j + n - size + n - 1) % n;
|
||||
if(index < n - size) {
|
||||
return x[index];
|
||||
} else {
|
||||
return *(last - (n - 1 - index));
|
||||
}
|
||||
}
|
||||
|
||||
/// \endcond
|
||||
|
||||
// state representation: next output is o(x(i))
|
||||
// x[0] ... x[k] x[k+1] ... x[n-1] represents
|
||||
// x(i-k) ... x(i) x(i+1) ... x(i-k+n-1)
|
||||
|
||||
UIntType x[n];
|
||||
std::size_t i;
|
||||
};
|
||||
|
||||
/// \cond show_private
|
||||
|
||||
#ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
|
||||
// A definition is required even for integral static constants
|
||||
#define BOOST_RANDOM_MT_DEFINE_CONSTANT(type, name) \
|
||||
template<class UIntType, std::size_t w, std::size_t n, std::size_t m, \
|
||||
std::size_t r, UIntType a, std::size_t u, UIntType d, std::size_t s, \
|
||||
UIntType b, std::size_t t, UIntType c, std::size_t l, UIntType f> \
|
||||
const type mersenne_twister_engine<UIntType,w,n,m,r,a,u,d,s,b,t,c,l,f>::name
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(std::size_t, word_size);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(std::size_t, state_size);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(std::size_t, shift_size);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(std::size_t, mask_bits);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(UIntType, xor_mask);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(std::size_t, tempering_u);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(UIntType, tempering_d);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(std::size_t, tempering_s);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(UIntType, tempering_b);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(std::size_t, tempering_t);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(UIntType, tempering_c);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(std::size_t, tempering_l);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(UIntType, initialization_multiplier);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(UIntType, default_seed);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(UIntType, parameter_a);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(std::size_t, output_u );
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(std::size_t, output_s);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(UIntType, output_b);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(std::size_t, output_t);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(UIntType, output_c);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(std::size_t, output_l);
|
||||
BOOST_RANDOM_MT_DEFINE_CONSTANT(bool, has_fixed_range);
|
||||
#undef BOOST_RANDOM_MT_DEFINE_CONSTANT
|
||||
#endif
|
||||
|
||||
template<class UIntType,
|
||||
std::size_t w, std::size_t n, std::size_t m, std::size_t r,
|
||||
UIntType a, std::size_t u, UIntType d, std::size_t s,
|
||||
UIntType b, std::size_t t,
|
||||
UIntType c, std::size_t l, UIntType f>
|
||||
void
|
||||
mersenne_twister_engine<UIntType,w,n,m,r,a,u,d,s,b,t,c,l,f>::twist()
|
||||
{
|
||||
const UIntType upper_mask = (~static_cast<UIntType>(0)) << r;
|
||||
const UIntType lower_mask = ~upper_mask;
|
||||
|
||||
const std::size_t unroll_factor = 6;
|
||||
const std::size_t unroll_extra1 = (n-m) % unroll_factor;
|
||||
const std::size_t unroll_extra2 = (m-1) % unroll_factor;
|
||||
|
||||
// split loop to avoid costly modulo operations
|
||||
{ // extra scope for MSVC brokenness w.r.t. for scope
|
||||
for(std::size_t j = 0; j < n-m-unroll_extra1; j++) {
|
||||
UIntType y = (x[j] & upper_mask) | (x[j+1] & lower_mask);
|
||||
x[j] = x[j+m] ^ (y >> 1) ^ ((x[j+1]&1) * a);
|
||||
}
|
||||
}
|
||||
{
|
||||
for(std::size_t j = n-m-unroll_extra1; j < n-m; j++) {
|
||||
UIntType y = (x[j] & upper_mask) | (x[j+1] & lower_mask);
|
||||
x[j] = x[j+m] ^ (y >> 1) ^ ((x[j+1]&1) * a);
|
||||
}
|
||||
}
|
||||
{
|
||||
for(std::size_t j = n-m; j < n-1-unroll_extra2; j++) {
|
||||
UIntType y = (x[j] & upper_mask) | (x[j+1] & lower_mask);
|
||||
x[j] = x[j-(n-m)] ^ (y >> 1) ^ ((x[j+1]&1) * a);
|
||||
}
|
||||
}
|
||||
{
|
||||
for(std::size_t j = n-1-unroll_extra2; j < n-1; j++) {
|
||||
UIntType y = (x[j] & upper_mask) | (x[j+1] & lower_mask);
|
||||
x[j] = x[j-(n-m)] ^ (y >> 1) ^ ((x[j+1]&1) * a);
|
||||
}
|
||||
}
|
||||
// last iteration
|
||||
UIntType y = (x[n-1] & upper_mask) | (x[0] & lower_mask);
|
||||
x[n-1] = x[m-1] ^ (y >> 1) ^ ((x[0]&1) * a);
|
||||
i = 0;
|
||||
}
|
||||
/// \endcond
|
||||
|
||||
template<class UIntType,
|
||||
std::size_t w, std::size_t n, std::size_t m, std::size_t r,
|
||||
UIntType a, std::size_t u, UIntType d, std::size_t s,
|
||||
UIntType b, std::size_t t,
|
||||
UIntType c, std::size_t l, UIntType f>
|
||||
inline typename
|
||||
mersenne_twister_engine<UIntType,w,n,m,r,a,u,d,s,b,t,c,l,f>::result_type
|
||||
mersenne_twister_engine<UIntType,w,n,m,r,a,u,d,s,b,t,c,l,f>::operator()()
|
||||
{
|
||||
if(i == n)
|
||||
twist();
|
||||
// Step 4
|
||||
UIntType z = x[i];
|
||||
++i;
|
||||
z ^= ((z >> u) & d);
|
||||
z ^= ((z << s) & b);
|
||||
z ^= ((z << t) & c);
|
||||
z ^= (z >> l);
|
||||
return z;
|
||||
}
|
||||
|
||||
/**
|
||||
* The specializations \mt11213b and \mt19937 are from
|
||||
*
|
||||
* @blockquote
|
||||
* "Mersenne Twister: A 623-dimensionally equidistributed
|
||||
* uniform pseudo-random number generator", Makoto Matsumoto
|
||||
* and Takuji Nishimura, ACM Transactions on Modeling and
|
||||
* Computer Simulation: Special Issue on Uniform Random Number
|
||||
* Generation, Vol. 8, No. 1, January 1998, pp. 3-30.
|
||||
* @endblockquote
|
||||
*/
|
||||
typedef mersenne_twister_engine<uint32_t,32,351,175,19,0xccab8ee7,
|
||||
11,0xffffffff,7,0x31b6ab00,15,0xffe50000,17,1812433253> mt11213b;
|
||||
|
||||
/**
|
||||
* The specializations \mt11213b and \mt19937 are from
|
||||
*
|
||||
* @blockquote
|
||||
* "Mersenne Twister: A 623-dimensionally equidistributed
|
||||
* uniform pseudo-random number generator", Makoto Matsumoto
|
||||
* and Takuji Nishimura, ACM Transactions on Modeling and
|
||||
* Computer Simulation: Special Issue on Uniform Random Number
|
||||
* Generation, Vol. 8, No. 1, January 1998, pp. 3-30.
|
||||
* @endblockquote
|
||||
*/
|
||||
typedef mersenne_twister_engine<uint32_t,32,624,397,31,0x9908b0df,
|
||||
11,0xffffffff,7,0x9d2c5680,15,0xefc60000,18,1812433253> mt19937;
|
||||
|
||||
#if !defined(BOOST_NO_INT64_T) && !defined(BOOST_NO_INTEGRAL_INT64_T)
|
||||
typedef mersenne_twister_engine<uint64_t,64,312,156,31,
|
||||
UINT64_C(0xb5026f5aa96619e9),29,UINT64_C(0x5555555555555555),17,
|
||||
UINT64_C(0x71d67fffeda60000),37,UINT64_C(0xfff7eee000000000),43,
|
||||
UINT64_C(6364136223846793005)> mt19937_64;
|
||||
#endif
|
||||
|
||||
/// \cond show_deprecated
|
||||
|
||||
template<class UIntType,
|
||||
int w, int n, int m, int r,
|
||||
UIntType a, int u, std::size_t s,
|
||||
UIntType b, int t,
|
||||
UIntType c, int l, UIntType v>
|
||||
class mersenne_twister :
|
||||
public mersenne_twister_engine<UIntType,
|
||||
w, n, m, r, a, u, ~(UIntType)0, s, b, t, c, l, 1812433253>
|
||||
{
|
||||
typedef mersenne_twister_engine<UIntType,
|
||||
w, n, m, r, a, u, ~(UIntType)0, s, b, t, c, l, 1812433253> base_type;
|
||||
public:
|
||||
mersenne_twister() {}
|
||||
BOOST_RANDOM_DETAIL_GENERATOR_CONSTRUCTOR(mersenne_twister, Gen, gen)
|
||||
{ seed(gen); }
|
||||
BOOST_RANDOM_DETAIL_ARITHMETIC_CONSTRUCTOR(mersenne_twister, UIntType, val)
|
||||
{ seed(val); }
|
||||
template<class It>
|
||||
mersenne_twister(It& first, It last) : base_type(first, last) {}
|
||||
void seed() { base_type::seed(); }
|
||||
BOOST_RANDOM_DETAIL_GENERATOR_SEED(mersenne_twister, Gen, gen)
|
||||
{
|
||||
detail::generator_seed_seq<Gen> seq(gen);
|
||||
base_type::seed(seq);
|
||||
}
|
||||
BOOST_RANDOM_DETAIL_ARITHMETIC_SEED(mersenne_twister, UIntType, val)
|
||||
{ base_type::seed(val); }
|
||||
template<class It>
|
||||
void seed(It& first, It last) { base_type::seed(first, last); }
|
||||
};
|
||||
|
||||
/// \endcond
|
||||
|
||||
} // namespace random
|
||||
|
||||
using random::mt11213b;
|
||||
using random::mt19937;
|
||||
using random::mt19937_64;
|
||||
|
||||
} // namespace boost
|
||||
|
||||
BOOST_RANDOM_PTR_HELPER_SPEC(boost::mt11213b)
|
||||
BOOST_RANDOM_PTR_HELPER_SPEC(boost::mt19937)
|
||||
BOOST_RANDOM_PTR_HELPER_SPEC(boost::mt19937_64)
|
||||
|
||||
#endif // BOOST_RANDOM_MERSENNE_TWISTER_HPP
|
400
xs/include/boost/random/uniform_int_distribution.hpp
Normal file
400
xs/include/boost/random/uniform_int_distribution.hpp
Normal file
|
@ -0,0 +1,400 @@
|
|||
/* boost random/uniform_int_distribution.hpp header file
|
||||
*
|
||||
* Copyright Jens Maurer 2000-2001
|
||||
* 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: uniform_int_distribution.hpp 71018 2011-04-05 21:27:52Z steven_watanabe $
|
||||
*
|
||||
* Revision history
|
||||
* 2001-04-08 added min<max assertion (N. Becker)
|
||||
* 2001-02-18 moved to individual header files
|
||||
*/
|
||||
|
||||
#ifndef BOOST_RANDOM_UNIFORM_INT_DISTRIBUTION_HPP
|
||||
#define BOOST_RANDOM_UNIFORM_INT_DISTRIBUTION_HPP
|
||||
|
||||
#include <iosfwd>
|
||||
#include <ios>
|
||||
#include <istream>
|
||||
#include <boost/config.hpp>
|
||||
#include <boost/limits.hpp>
|
||||
#include <boost/assert.hpp>
|
||||
#include <boost/random/detail/config.hpp>
|
||||
#include <boost/random/detail/operators.hpp>
|
||||
#include <boost/random/detail/uniform_int_float.hpp>
|
||||
#include <boost/random/detail/signed_unsigned_tools.hpp>
|
||||
#include <boost/type_traits/make_unsigned.hpp>
|
||||
#include <boost/type_traits/is_integral.hpp>
|
||||
|
||||
namespace boost {
|
||||
namespace random {
|
||||
namespace detail {
|
||||
|
||||
|
||||
#ifdef BOOST_MSVC
|
||||
#pragma warning(push)
|
||||
// disable division by zero warning, since we can't
|
||||
// actually divide by zero.
|
||||
#pragma warning(disable:4723)
|
||||
#endif
|
||||
|
||||
template<class Engine, class T>
|
||||
T generate_uniform_int(
|
||||
Engine& eng, T min_value, T max_value,
|
||||
boost::mpl::true_ /** is_integral<Engine::result_type> */)
|
||||
{
|
||||
typedef T result_type;
|
||||
typedef typename make_unsigned<T>::type range_type;
|
||||
typedef typename Engine::result_type base_result;
|
||||
// ranges are always unsigned
|
||||
typedef typename make_unsigned<base_result>::type base_unsigned;
|
||||
const range_type range = random::detail::subtract<result_type>()(max_value, min_value);
|
||||
const base_result bmin = (eng.min)();
|
||||
const base_unsigned brange =
|
||||
random::detail::subtract<base_result>()((eng.max)(), (eng.min)());
|
||||
|
||||
if(range == 0) {
|
||||
return min_value;
|
||||
} else if(brange == range) {
|
||||
// this will probably never happen in real life
|
||||
// basically nothing to do; just take care we don't overflow / underflow
|
||||
base_unsigned v = random::detail::subtract<base_result>()(eng(), bmin);
|
||||
return random::detail::add<base_unsigned, result_type>()(v, min_value);
|
||||
} else if(brange < range) {
|
||||
// use rejection method to handle things like 0..3 --> 0..4
|
||||
for(;;) {
|
||||
// concatenate several invocations of the base RNG
|
||||
// take extra care to avoid overflows
|
||||
|
||||
// limit == floor((range+1)/(brange+1))
|
||||
// Therefore limit*(brange+1) <= range+1
|
||||
range_type limit;
|
||||
if(range == (std::numeric_limits<range_type>::max)()) {
|
||||
limit = range/(range_type(brange)+1);
|
||||
if(range % (range_type(brange)+1) == range_type(brange))
|
||||
++limit;
|
||||
} else {
|
||||
limit = (range+1)/(range_type(brange)+1);
|
||||
}
|
||||
|
||||
// We consider "result" as expressed to base (brange+1):
|
||||
// For every power of (brange+1), we determine a random factor
|
||||
range_type result = range_type(0);
|
||||
range_type mult = range_type(1);
|
||||
|
||||
// loop invariants:
|
||||
// result < mult
|
||||
// mult <= range
|
||||
while(mult <= limit) {
|
||||
// Postcondition: result <= range, thus no overflow
|
||||
//
|
||||
// limit*(brange+1)<=range+1 def. of limit (1)
|
||||
// eng()-bmin<=brange eng() post. (2)
|
||||
// and mult<=limit. loop condition (3)
|
||||
// Therefore mult*(eng()-bmin+1)<=range+1 by (1),(2),(3) (4)
|
||||
// Therefore mult*(eng()-bmin)+mult<=range+1 rearranging (4) (5)
|
||||
// result<mult loop invariant (6)
|
||||
// Therefore result+mult*(eng()-bmin)<range+1 by (5), (6) (7)
|
||||
//
|
||||
// Postcondition: result < mult*(brange+1)
|
||||
//
|
||||
// result<mult loop invariant (1)
|
||||
// eng()-bmin<=brange eng() post. (2)
|
||||
// Therefore result+mult*(eng()-bmin) <
|
||||
// mult+mult*(eng()-bmin) by (1) (3)
|
||||
// Therefore result+(eng()-bmin)*mult <
|
||||
// mult+mult*brange by (2), (3) (4)
|
||||
// Therefore result+(eng()-bmin)*mult <
|
||||
// mult*(brange+1) by (4)
|
||||
result += static_cast<range_type>(random::detail::subtract<base_result>()(eng(), bmin) * mult);
|
||||
|
||||
// equivalent to (mult * (brange+1)) == range+1, but avoids overflow.
|
||||
if(mult * range_type(brange) == range - mult + 1) {
|
||||
// The destination range is an integer power of
|
||||
// the generator's range.
|
||||
return(result);
|
||||
}
|
||||
|
||||
// Postcondition: mult <= range
|
||||
//
|
||||
// limit*(brange+1)<=range+1 def. of limit (1)
|
||||
// mult<=limit loop condition (2)
|
||||
// Therefore mult*(brange+1)<=range+1 by (1), (2) (3)
|
||||
// mult*(brange+1)!=range+1 preceding if (4)
|
||||
// Therefore mult*(brange+1)<range+1 by (3), (4) (5)
|
||||
//
|
||||
// Postcondition: result < mult
|
||||
//
|
||||
// See the second postcondition on the change to result.
|
||||
mult *= range_type(brange)+range_type(1);
|
||||
}
|
||||
// loop postcondition: range/mult < brange+1
|
||||
//
|
||||
// mult > limit loop condition (1)
|
||||
// Suppose range/mult >= brange+1 Assumption (2)
|
||||
// range >= mult*(brange+1) by (2) (3)
|
||||
// range+1 > mult*(brange+1) by (3) (4)
|
||||
// range+1 > (limit+1)*(brange+1) by (1), (4) (5)
|
||||
// (range+1)/(brange+1) > limit+1 by (5) (6)
|
||||
// limit < floor((range+1)/(brange+1)) by (6) (7)
|
||||
// limit==floor((range+1)/(brange+1)) def. of limit (8)
|
||||
// not (2) reductio (9)
|
||||
//
|
||||
// loop postcondition: (range/mult)*mult+(mult-1) >= range
|
||||
//
|
||||
// (range/mult)*mult + range%mult == range identity (1)
|
||||
// range%mult < mult def. of % (2)
|
||||
// (range/mult)*mult+mult > range by (1), (2) (3)
|
||||
// (range/mult)*mult+(mult-1) >= range by (3) (4)
|
||||
//
|
||||
// Note that the maximum value of result at this point is (mult-1),
|
||||
// so after this final step, we generate numbers that can be
|
||||
// at least as large as range. We have to really careful to avoid
|
||||
// overflow in this final addition and in the rejection. Anything
|
||||
// that overflows is larger than range and can thus be rejected.
|
||||
|
||||
// range/mult < brange+1 -> no endless loop
|
||||
range_type result_increment =
|
||||
generate_uniform_int(
|
||||
eng,
|
||||
static_cast<range_type>(0),
|
||||
static_cast<range_type>(range/mult),
|
||||
boost::mpl::true_());
|
||||
if((std::numeric_limits<range_type>::max)() / mult < result_increment) {
|
||||
// The multiplcation would overflow. Reject immediately.
|
||||
continue;
|
||||
}
|
||||
result_increment *= mult;
|
||||
// unsigned integers are guaranteed to wrap on overflow.
|
||||
result += result_increment;
|
||||
if(result < result_increment) {
|
||||
// The addition overflowed. Reject.
|
||||
continue;
|
||||
}
|
||||
if(result > range) {
|
||||
// Too big. Reject.
|
||||
continue;
|
||||
}
|
||||
return random::detail::add<range_type, result_type>()(result, min_value);
|
||||
}
|
||||
} else { // brange > range
|
||||
base_unsigned bucket_size;
|
||||
// it's safe to add 1 to range, as long as we cast it first,
|
||||
// because we know that it is less than brange. However,
|
||||
// we do need to be careful not to cause overflow by adding 1
|
||||
// to brange.
|
||||
if(brange == (std::numeric_limits<base_unsigned>::max)()) {
|
||||
bucket_size = brange / (static_cast<base_unsigned>(range)+1);
|
||||
if(brange % (static_cast<base_unsigned>(range)+1) == static_cast<base_unsigned>(range)) {
|
||||
++bucket_size;
|
||||
}
|
||||
} else {
|
||||
bucket_size = (brange+1) / (static_cast<base_unsigned>(range)+1);
|
||||
}
|
||||
for(;;) {
|
||||
base_unsigned result =
|
||||
random::detail::subtract<base_result>()(eng(), bmin);
|
||||
result /= bucket_size;
|
||||
// result and range are non-negative, and result is possibly larger
|
||||
// than range, so the cast is safe
|
||||
if(result <= static_cast<base_unsigned>(range))
|
||||
return random::detail::add<base_unsigned, result_type>()(result, min_value);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
#ifdef BOOST_MSVC
|
||||
#pragma warning(pop)
|
||||
#endif
|
||||
|
||||
template<class Engine, class T>
|
||||
inline T generate_uniform_int(
|
||||
Engine& eng, T min_value, T max_value,
|
||||
boost::mpl::false_ /** is_integral<Engine::result_type> */)
|
||||
{
|
||||
uniform_int_float<Engine> wrapper(eng);
|
||||
return generate_uniform_int(wrapper, min_value, max_value, boost::mpl::true_());
|
||||
}
|
||||
|
||||
template<class Engine, class T>
|
||||
inline T generate_uniform_int(Engine& eng, T min_value, T max_value)
|
||||
{
|
||||
typedef typename Engine::result_type base_result;
|
||||
return generate_uniform_int(eng, min_value, max_value,
|
||||
boost::is_integral<base_result>());
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
/**
|
||||
* The class template uniform_int_distribution models a \random_distribution.
|
||||
* On each invocation, it returns a random integer value uniformly
|
||||
* distributed in the set of integers {min, min+1, min+2, ..., max}.
|
||||
*
|
||||
* The template parameter IntType shall denote an integer-like value type.
|
||||
*/
|
||||
template<class IntType = int>
|
||||
class uniform_int_distribution
|
||||
{
|
||||
public:
|
||||
typedef IntType input_type;
|
||||
typedef IntType result_type;
|
||||
|
||||
class param_type
|
||||
{
|
||||
public:
|
||||
|
||||
typedef uniform_int_distribution distribution_type;
|
||||
|
||||
/**
|
||||
* Constructs the parameters of a uniform_int_distribution.
|
||||
*
|
||||
* Requires min <= max
|
||||
*/
|
||||
explicit param_type(
|
||||
IntType min_arg = 0,
|
||||
IntType max_arg = (std::numeric_limits<IntType>::max)())
|
||||
: _min(min_arg), _max(max_arg)
|
||||
{
|
||||
BOOST_ASSERT(_min <= _max);
|
||||
}
|
||||
|
||||
/** Returns the minimum value of the distribution. */
|
||||
IntType a() const { return _min; }
|
||||
/** Returns the maximum value of the distribution. */
|
||||
IntType b() const { return _max; }
|
||||
|
||||
/** Writes the parameters to a @c std::ostream. */
|
||||
BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, param_type, parm)
|
||||
{
|
||||
os << parm._min << " " << parm._max;
|
||||
return os;
|
||||
}
|
||||
|
||||
/** Reads the parameters from a @c std::istream. */
|
||||
BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, param_type, parm)
|
||||
{
|
||||
IntType min_in, max_in;
|
||||
if(is >> min_in >> std::ws >> max_in) {
|
||||
if(min_in <= max_in) {
|
||||
parm._min = min_in;
|
||||
parm._max = max_in;
|
||||
} else {
|
||||
is.setstate(std::ios_base::failbit);
|
||||
}
|
||||
}
|
||||
return is;
|
||||
}
|
||||
|
||||
/** Returns true if the two sets of parameters are equal. */
|
||||
BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(param_type, lhs, rhs)
|
||||
{ return lhs._min == rhs._min && lhs._max == rhs._max; }
|
||||
|
||||
/** Returns true if the two sets of parameters are different. */
|
||||
BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(param_type)
|
||||
|
||||
private:
|
||||
|
||||
IntType _min;
|
||||
IntType _max;
|
||||
};
|
||||
|
||||
/**
|
||||
* Constructs a uniform_int_distribution. @c min and @c max are
|
||||
* the parameters of the distribution.
|
||||
*
|
||||
* Requires: min <= max
|
||||
*/
|
||||
explicit uniform_int_distribution(
|
||||
IntType min_arg = 0,
|
||||
IntType max_arg = (std::numeric_limits<IntType>::max)())
|
||||
: _min(min_arg), _max(max_arg)
|
||||
{
|
||||
BOOST_ASSERT(min_arg <= max_arg);
|
||||
}
|
||||
/** Constructs a uniform_int_distribution from its parameters. */
|
||||
explicit uniform_int_distribution(const param_type& parm)
|
||||
: _min(parm.a()), _max(parm.b()) {}
|
||||
|
||||
/** Returns the minimum value of the distribution */
|
||||
IntType min BOOST_PREVENT_MACRO_SUBSTITUTION () const { return _min; }
|
||||
/** Returns the maximum value of the distribution */
|
||||
IntType max BOOST_PREVENT_MACRO_SUBSTITUTION () const { return _max; }
|
||||
|
||||
/** Returns the minimum value of the distribution */
|
||||
IntType a() const { return _min; }
|
||||
/** Returns the maximum value of the distribution */
|
||||
IntType b() const { return _max; }
|
||||
|
||||
/** Returns the parameters of the distribution. */
|
||||
param_type param() const { return param_type(_min, _max); }
|
||||
/** Sets the parameters of the distribution. */
|
||||
void param(const param_type& parm)
|
||||
{
|
||||
_min = parm.a();
|
||||
_max = parm.b();
|
||||
}
|
||||
|
||||
/**
|
||||
* Effects: Subsequent uses of the distribution do not depend
|
||||
* on values produced by any engine prior to invoking reset.
|
||||
*/
|
||||
void reset() { }
|
||||
|
||||
/** Returns an integer uniformly distributed in the range [min, max]. */
|
||||
template<class Engine>
|
||||
result_type operator()(Engine& eng) const
|
||||
{ return detail::generate_uniform_int(eng, _min, _max); }
|
||||
|
||||
/**
|
||||
* Returns an integer uniformly distributed in the range
|
||||
* [param.a(), param.b()].
|
||||
*/
|
||||
template<class Engine>
|
||||
result_type operator()(Engine& eng, const param_type& parm) const
|
||||
{ return detail::generate_uniform_int(eng, parm.a(), parm.b()); }
|
||||
|
||||
/** Writes the distribution to a @c std::ostream. */
|
||||
BOOST_RANDOM_DETAIL_OSTREAM_OPERATOR(os, uniform_int_distribution, ud)
|
||||
{
|
||||
os << ud.param();
|
||||
return os;
|
||||
}
|
||||
|
||||
/** Reads the distribution from a @c std::istream. */
|
||||
BOOST_RANDOM_DETAIL_ISTREAM_OPERATOR(is, uniform_int_distribution, ud)
|
||||
{
|
||||
param_type parm;
|
||||
if(is >> parm) {
|
||||
ud.param(parm);
|
||||
}
|
||||
return is;
|
||||
}
|
||||
|
||||
/**
|
||||
* Returns true if the two distributions will produce identical sequences
|
||||
* of values given equal generators.
|
||||
*/
|
||||
BOOST_RANDOM_DETAIL_EQUALITY_OPERATOR(uniform_int_distribution, lhs, rhs)
|
||||
{ return lhs._min == rhs._min && lhs._max == rhs._max; }
|
||||
|
||||
/**
|
||||
* Returns true if the two distributions may produce different sequences
|
||||
* of values given equal generators.
|
||||
*/
|
||||
BOOST_RANDOM_DETAIL_INEQUALITY_OPERATOR(uniform_int_distribution)
|
||||
|
||||
private:
|
||||
IntType _min;
|
||||
IntType _max;
|
||||
};
|
||||
|
||||
} // namespace random
|
||||
} // namespace boost
|
||||
|
||||
#endif // BOOST_RANDOM_UNIFORM_INT_HPP
|
Loading…
Add table
Add a link
Reference in a new issue