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- /* 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/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/type_traits/conditional.hpp>
- #include <boost/type_traits/integral_constant.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::conditional<boost::is_integral<T>::value,
- 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::true_type)
- {
- return detail::generate_from_int(eng, first, last);
- }
- template<class Engine, class Iter>
- void generate_impl(Engine& eng, Iter first, Iter last, boost::false_type)
- {
- 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::conditional<(m == 0),
- ::boost::integral_constant<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::conditional<(m == 0),
- ::boost::integral_constant<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::true_type)
- {
- 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::false_type)
- {
- 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::true_type)
- {
- 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::false_type)
- {
- 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
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