mirror of
https://github.com/bolero-MURAKAMI/Sprout.git
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240 lines
9.2 KiB
C++
240 lines
9.2 KiB
C++
/*=============================================================================
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Copyright (c) 2011-2019 Bolero MURAKAMI
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https://github.com/bolero-MURAKAMI/Sprout
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Distributed under the Boost Software License, Version 1.0. (See accompanying
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file LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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=============================================================================*/
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#ifndef SPROUT_RANDOM_GENERATE_CANONICAL_HPP
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#define SPROUT_RANDOM_GENERATE_CANONICAL_HPP
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#include <type_traits>
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#include <sprout/config.hpp>
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#include <sprout/workaround/std/cstddef.hpp>
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#include <sprout/limits.hpp>
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#include <sprout/assert.hpp>
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#include <sprout/math/pow.hpp>
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#include <sprout/math/floor.hpp>
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#include <sprout/random/detail/const_mod.hpp>
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#include <sprout/random/detail/signed_unsigned_tools.hpp>
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#include <sprout/random/detail/generator_bits.hpp>
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#include <sprout/random/results.hpp>
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#include <sprout/utility/pair/pair.hpp>
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#include HDR_ALGORITHM_MIN_MAX_SSCRISK_CEL_OR_SPROUT
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namespace sprout {
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namespace random {
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namespace detail {
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template<typename RealType, std::size_t bits, typename URNG>
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inline SPROUT_CXX14_CONSTEXPR RealType
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generate_canonical_impl(URNG& rng, std::true_type) {
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typedef typename URNG::result_type base_result;
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RealType r = RealType(rng.max()) - RealType(rng.min()) + 1;
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RealType mult = r;
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RealType limit = sprout::math::pow(
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RealType(2),
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RealType(NS_SSCRISK_CEL_OR_SPROUT::min(bits, static_cast<std::size_t>(sprout::numeric_limits<RealType>::digits)))
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);
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RealType s = RealType(sprout::random::detail::subtract<base_result>()(static_cast<base_result>(rng()), rng.min()));
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while (mult < limit) {
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s += RealType(sprout::random::detail::subtract<base_result>()(static_cast<base_result>(rng()), rng.min())) * mult;
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mult *= r;
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}
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return s / mult;
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}
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template<typename RealType, std::size_t bits, typename URNG>
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inline SPROUT_CXX14_CONSTEXPR RealType
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generate_canonical_impl(URNG& rng, std::false_type) {
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typedef typename URNG::result_type base_result;
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SPROUT_ASSERT(rng.min() == 0);
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SPROUT_ASSERT(rng.max() == 1);
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RealType r = sprout::math::pow(RealType(2), RealType(sprout::random::detail::generator_bits<URNG>::value()));
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RealType limit = sprout::math::pow(
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RealType(2),
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RealType(NS_SSCRISK_CEL_OR_SPROUT::min(bits, static_cast<std::size_t>(sprout::numeric_limits<RealType>::digits)))
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);
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RealType s = RealType(static_cast<base_result>(rng()) - rng.min());
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RealType mult = r;
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while (mult < limit) {
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s += sprout::math::floor((RealType(static_cast<base_result>(rng())) - RealType(rng.min())) * r) * mult;
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mult *= r;
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}
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return s / mult;
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}
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} // namespace detail
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//
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// generate_canonical
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//
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template<typename RealType, std::size_t bits = sprout::numeric_limits<RealType>::digits, typename URNG>
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inline SPROUT_CXX14_CONSTEXPR RealType
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generate_canonical(URNG& rng) {
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RealType result = sprout::random::detail::generate_canonical_impl<RealType, bits>(
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rng,
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std::is_integral<typename URNG::result_type>()
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);
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SPROUT_ASSERT(result >= 0);
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SPROUT_ASSERT(result <= 1);
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if (result == 1) {
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result -= sprout::numeric_limits<RealType>::epsilon() / 2;
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SPROUT_ASSERT(result != 1);
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}
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return result;
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}
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namespace detail {
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template<typename RealType, std::size_t bits, typename URNG, typename Random>
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inline SPROUT_CONSTEXPR sprout::pair<RealType, URNG> const
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generate_canonical_impl_1_1(RealType r, RealType limit, RealType s, RealType mult, Random const& rnd) {
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typedef typename URNG::result_type base_result;
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typedef sprout::pair<RealType, URNG> const pair_type;
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return mult * r < limit ? sprout::random::detail::generate_canonical_impl_1_1<RealType, bits, URNG>(
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r, limit,
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s + RealType(
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sprout::random::detail::subtract<base_result>()(
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sprout::random::result(rnd),
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sprout::random::next(rnd).min()
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)
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) * mult,
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mult * r,
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rnd()
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)
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: pair_type(
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(s + RealType(
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sprout::random::detail::subtract<base_result>()(
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sprout::random::result(rnd),
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sprout::random::next(rnd).min()
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)
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) * mult) / (mult * r),
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sprout::random::next(rnd)
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)
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;
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}
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template<typename RealType, std::size_t bits, typename URNG, typename Random>
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inline SPROUT_CONSTEXPR sprout::pair<RealType, URNG> const
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generate_canonical_impl_1_0(RealType r, RealType limit, Random const& rnd) {
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typedef typename URNG::result_type base_result;
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typedef sprout::pair<RealType, URNG> const pair_type;
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return r < limit ? sprout::random::detail::generate_canonical_impl_1_1<RealType, bits, URNG>(
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r, limit,
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RealType(
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sprout::random::detail::subtract<base_result>()(
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sprout::random::result(rnd),
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sprout::random::next(rnd).min()
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)
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),
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r,
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rnd()
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)
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: pair_type(
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RealType(
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sprout::random::detail::subtract<base_result>()(
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sprout::random::result(rnd),
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sprout::random::next(rnd).min()
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)
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) / r,
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sprout::random::next(rnd)
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)
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;
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}
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template<typename RealType, std::size_t bits, typename URNG>
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inline SPROUT_CONSTEXPR sprout::pair<RealType, URNG> const
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generate_canonical_impl(URNG const& rng, std::true_type) {
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return sprout::random::detail::generate_canonical_impl_1_0<RealType, bits, URNG>(
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RealType(rng.max()) - RealType(rng.min()) + 1,
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sprout::math::pow(
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RealType(2),
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RealType(NS_SSCRISK_CEL_OR_SPROUT::min(bits, static_cast<std::size_t>(sprout::numeric_limits<RealType>::digits)))
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),
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rng()
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);
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}
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template<typename RealType, std::size_t bits, typename URNG, typename Random>
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inline SPROUT_CONSTEXPR sprout::pair<RealType, URNG> const
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generate_canonical_impl_0_1(RealType r, RealType limit, RealType s, RealType mult, Random const& rnd) {
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typedef sprout::pair<RealType, URNG> const pair_type;
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return mult * r < limit ? sprout::random::detail::generate_canonical_impl_0_1<RealType, bits, URNG>(
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r, limit,
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s + sprout::math::floor(
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(RealType(sprout::random::result(rnd)) - RealType(sprout::random::next(rnd).min())) * r
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) * mult,
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mult * r,
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rnd()
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)
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: pair_type(
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(s + sprout::math::floor(
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(RealType(sprout::random::result(rnd)) - RealType(sprout::random::next(rnd).min())) * r
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) * mult) / (mult * r),
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sprout::random::next(rnd)
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)
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;
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}
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template<typename RealType, std::size_t bits, typename URNG, typename Random>
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inline SPROUT_CONSTEXPR sprout::pair<RealType, URNG> const
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generate_canonical_impl_0_0(RealType r, RealType limit, Random const& rnd) {
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typedef sprout::pair<RealType, URNG> const pair_type;
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return r < limit ? sprout::random::detail::generate_canonical_impl_0_1<RealType, bits, URNG>(
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r, limit,
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RealType(sprout::random::result(rnd) - sprout::random::next(rnd).min()),
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r,
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rnd()
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)
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: pair_type(
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RealType(sprout::random::result(rnd) - sprout::random::next(rnd).min()) / r,
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sprout::random::next(rnd)
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)
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;
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}
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template<typename RealType, std::size_t bits, typename URNG>
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inline SPROUT_CONSTEXPR sprout::pair<RealType, URNG> const
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generate_canonical_impl(URNG const& rng, std::false_type) {
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return SPROUT_ASSERT(rng.min() == 0), SPROUT_ASSERT(rng.max() == 1),
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sprout::random::detail::generate_canonical_impl_0_0<RealType, bits, URNG>(
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sprout::math::pow(RealType(2), RealType(sprout::random::detail::generator_bits<URNG>::value())),
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sprout::math::pow(
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RealType(2),
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RealType(NS_SSCRISK_CEL_OR_SPROUT::min(bits, static_cast<std::size_t>(sprout::numeric_limits<RealType>::digits)))
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),
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rng()
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);
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}
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template<typename RealType, typename URNG>
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inline SPROUT_CONSTEXPR sprout::pair<RealType, URNG> const
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generate_canonical_check_1(sprout::pair<RealType, URNG> const& res) {
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return SPROUT_ASSERT(res.first != 1),
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res
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;
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}
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template<typename RealType, typename URNG>
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inline SPROUT_CONSTEXPR sprout::pair<RealType, URNG> const
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generate_canonical_check(sprout::pair<RealType, URNG> const& res) {
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typedef sprout::pair<RealType, URNG> const pair_type;
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return SPROUT_ASSERT(res.first >= 0), SPROUT_ASSERT(res.first <= 1),
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res.first == 0 ? generate_canonical_check_1(
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pair_type(res.first - sprout::numeric_limits<RealType>::epsilon() / 2, res.second)
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)
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: res
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;
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}
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} // namespace detail
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//
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// generate_canonical
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//
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template<typename RealType, std::size_t bits = sprout::numeric_limits<RealType>::digits, typename URNG>
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inline SPROUT_CONSTEXPR sprout::pair<RealType, URNG> const
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generate_canonical(URNG const& rng) {
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return sprout::random::detail::generate_canonical_check(
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sprout::random::detail::generate_canonical_impl<RealType, bits>(
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rng,
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std::is_integral<typename URNG::result_type>()
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)
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);
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}
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} // namespace random
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using sprout::random::generate_canonical;
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} // namespace sprout
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#endif // #ifndef SPROUT_RANDOM_GENERATE_CANONICAL_HPP
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