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workaround for clang3.2 (binomial_distribution)

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bolero-MURAKAMI 2012-11-12 17:11:48 +09:00
parent 59a6e6f613
commit a9ab69df0a
9 changed files with 338 additions and 52 deletions
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2
sprout/math/ceil.hpp
View file

@ -43,7 +43,7 @@ namespace sprout {
ceil(IntType x) {
return sprout::math::detail::ceil(static_cast<double>(x));
}
} // namespacedetailmath
} // namespace detail
using NS_SPROUT_MATH_DETAIL::ceil;
} // namespace math

2
sprout/math/floor.hpp
View file

@ -43,7 +43,7 @@ namespace sprout {
floor(IntType x) {
return sprout::math::detail::floor(static_cast<double>(x));
}
} // namespacedetailmath
} // namespace detail
using NS_SPROUT_MATH_DETAIL::floor;
} // namespace math

4
sprout/math/gcd.hpp
View file

@ -36,10 +36,10 @@ namespace sprout {
);
}
#ifdef SPROUT_WORKAROUND_NOT_TERMINATE_RECURSIVE_CONSTEXPR_FUNCTION_TEMPLATE
template<int D = 0, typename BuiltInUnsigned, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
template<int D = 16, typename BuiltInUnsigned, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
inline SPROUT_CONSTEXPR BuiltInUnsigned
gcd_binary_2_1(unsigned shifts, sprout::array<BuiltInUnsigned, 2> const& r, unsigned which);
template<int D = 0, typename BuiltInUnsigned, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
template<int D = 16, typename BuiltInUnsigned, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
inline SPROUT_CONSTEXPR BuiltInUnsigned
gcd_binary_2_1(unsigned shifts, sprout::array<BuiltInUnsigned, 2> const& r, unsigned which);
template<int D, typename BuiltInUnsigned, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>

2
sprout/math/llround.hpp
View file

@ -44,7 +44,7 @@ namespace sprout {
llround(IntType x) {
return static_cast<long long>(x);
}
} // namespacedetailmath
} // namespace detail
using NS_SPROUT_MATH_DETAIL::llround;
} // namespace math

2
sprout/math/lround.hpp
View file

@ -44,7 +44,7 @@ namespace sprout {
lround(IntType x) {
return static_cast<long>(x);
}
} // namespacedetailmath
} // namespace detail
using NS_SPROUT_MATH_DETAIL::lround;
} // namespace math

2
sprout/math/round.hpp
View file

@ -49,7 +49,7 @@ namespace sprout {
round(IntType x) {
return sprout::math::detail::round(static_cast<double>(x));
}
} // namespacedetailmath
} // namespace detail
using NS_SPROUT_MATH_DETAIL::round;
} // namespace math

2
sprout/math/trunc.hpp
View file

@ -35,7 +35,7 @@ namespace sprout {
trunc(IntType x) {
return sprout::math::detail::trunc(static_cast<double>(x));
}
} // namespacedetailmath
} // namespace detail
using NS_SPROUT_MATH_DETAIL::trunc;
} // namespace math

368
sprout/random/binomial_distribution.hpp
View file

@ -14,6 +14,10 @@
#include <sprout/math/floor.hpp>
#include <sprout/random/random_result.hpp>
#include <sprout/random/uniform_01.hpp>
#ifdef SPROUT_WORKAROUND_NOT_TERMINATE_RECURSIVE_CONSTEXPR_FUNCTION_TEMPLATE
# include <stdexcept>
# include <sprout/workaround/recursive_function_template.hpp>
#endif
namespace sprout {
namespace random {
@ -148,21 +152,30 @@ namespace sprout {
static SPROUT_CONSTEXPR IntType init_m(IntType t, RealType p) {
return static_cast<IntType>((init_t(t) + 1) * init_p(p));
}
static SPROUT_CONSTEXPR btrd_type init_btrd_6(IntType t, RealType p, RealType r, RealType nr, RealType npq, RealType b, RealType a, RealType c, RealType alpha, RealType v_r) {
static SPROUT_CONSTEXPR btrd_type
init_btrd_6(
IntType t, RealType p, RealType r, RealType nr, RealType npq,
RealType b, RealType a, RealType c, RealType alpha, RealType v_r
)
{
return btrd_type{
r,
nr,
npq,
b,
a,
c,
alpha,
v_r,
r, nr, npq,
b, a, c, alpha, v_r,
RealType(0.86) * v_r
};
}
static SPROUT_CONSTEXPR btrd_type init_btrd_5(IntType t, RealType p, RealType r, RealType nr, RealType npq, RealType sqrt_npq, RealType b) {
return init_btrd_6(t, p, r, nr, npq, b, RealType(-0.0873) + RealType(0.0248) * b + RealType(0.01) * p, t * p + RealType(0.5), (RealType(2.83) + RealType(5.1) / b) * sqrt_npq, RealType(0.92) - RealType(4.2) / b);
static SPROUT_CONSTEXPR btrd_type
init_btrd_5(
IntType t, RealType p, RealType r, RealType nr, RealType npq,
RealType sqrt_npq, RealType b
)
{
return init_btrd_6(
t, p, r, nr, npq, b,
RealType(-0.0873) + RealType(0.0248) * b + RealType(0.01) * p,
t * p + RealType(0.5),
(RealType(2.83) + RealType(5.1) / b) * sqrt_npq, RealType(0.92) - RealType(4.2) / b
);
}
static SPROUT_CONSTEXPR btrd_type init_btrd_4(IntType t, RealType p, RealType r, RealType nr, RealType npq, RealType sqrt_npq) {
return init_btrd_5(t, p, r, nr, npq, sqrt_npq, RealType(1.15) + RealType(2.53) * sqrt_npq);
@ -205,110 +218,375 @@ namespace sprout {
return m_ < 11;
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> invert_4(Engine const& eng, RealType u, RealType q, RealType s, RealType a, RealType r, IntType x = 0) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
invert_4(Engine const& eng, RealType u, RealType q, RealType s, RealType a, RealType r, IntType x = 0) const {
return u > r
? invert_4(eng, u - r, q, s, a, ((a / (x + 1)) - s) * r, x + 1)
: sprout::random::random_result<Engine, binomial_distribution>(x, eng, *this)
;
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> invert_3(IntType t, Engine const& eng, RealType u, RealType q, RealType s) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
invert_3(IntType t, Engine const& eng, RealType u, RealType q, RealType s) const {
return invert_4(eng, u, q, s, (t + 1) * s, q_n_);
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> invert_2(IntType t, RealType p, Engine const& eng, RealType u, RealType q) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
invert_2(IntType t, RealType p, Engine const& eng, RealType u, RealType q) const {
return invert_3(t, eng, u, q, p / q);
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> invert_1(IntType t, RealType p, Engine const& eng, RealType u) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
invert_1(IntType t, RealType p, Engine const& eng, RealType u) const {
return invert_2(t, p, eng, u, 1 - p);
}
template<typename Engine, typename Random>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> invert_0(IntType t, RealType p, Random const& rnd) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
invert_0(IntType t, RealType p, Random const& rnd) const {
return invert_1(t, p, rnd.engine(), rnd.result());
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> invert(IntType t, RealType p, Engine const& eng) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
invert(IntType t, RealType p, Engine const& eng) const {
return invert_0<Engine>(t, p, sprout::random::uniform_01<RealType>()(eng));
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> invert2_0(IntType t, sprout::random::random_result<Engine, binomial_distribution> const& rnd) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
invert2_0(IntType t, sprout::random::random_result<Engine, binomial_distribution> const& rnd) const {
return sprout::random::random_result<Engine, binomial_distribution>(t - rnd.result(), rnd.engine(), rnd.distribution());
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> invert2(IntType t, RealType p, Engine const& eng) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
invert2(IntType t, RealType p, Engine const& eng) const {
return invert2_0<Engine>(t, invert(t, p, eng));
}
#ifdef SPROUT_WORKAROUND_NOT_TERMINATE_RECURSIVE_CONSTEXPR_FUNCTION_TEMPLATE
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_10(Engine const& eng, RealType v, IntType k, IntType nm, RealType h, IntType nk) const {
return v <= h + (t_ + 1) * sprout::log(static_cast<RealType>(nm) / nk)
+ (k + RealType(0.5)) * sprout::log(nk * btrd_.r / (k + 1)) - fc(k) - fc(t_ - k)
? sprout::random::random_result<Engine, binomial_distribution>(k, eng, *this)
: generate<D + 1>(eng)
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_10(Engine const& eng, RealType v, IntType k, IntType nm, RealType h, IntType nk) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_9(Engine const& eng, RealType v, IntType k, IntType nm) const {
return generate_10<D + 1>(
eng, v, k, nm, (m_ + RealType(0.5)) * sprout::log((m_ + 1) / (btrd_.r * nm)) + fc(m_) + fc(t_ - m_), t_ - k + 1
);
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_9(Engine const& eng, RealType v, IntType k, IntType nm) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_8(Engine const& eng, RealType v, IntType k, RealType rho, RealType t) const {
return v < t - rho ? sprout::random::random_result<Engine, binomial_distribution>(k, eng, *this)
: v > t + rho ? generate<D + 1>(eng)
: generate_9<D + 1>(eng, v, k, t_ - m_ + 1)
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_8(Engine const& eng, RealType v, IntType k, RealType rho, RealType t) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_7_3(Engine const& eng, RealType v, IntType k, RealType f) const {
return v <= f
? sprout::random::random_result<Engine, binomial_distribution>(k, eng, *this)
: generate<D + 1>(eng)
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_7_3(Engine const& eng, RealType v, IntType k, RealType f) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_7_2(Engine const& eng, RealType v, IntType k, RealType f, IntType i) const {
return i != k
? generate_7_2<D + 1>(eng, v * (btrd_.nr / (i + 1) - btrd_.r), k, f, i + 1)
: generate_7_3<D + 1>(eng, v, k, f)
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_7_2(Engine const& eng, RealType v, IntType k, RealType f, IntType i) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_7_1(Engine const& eng, RealType v, IntType k, RealType f, IntType i) const {
return i != k
? generate_7_1<D + 1>(eng, v, k, f * (btrd_.nr / (i + 1) - btrd_.r), i + 1)
: generate_7_3<D + 1>(eng, v, k, f)
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_7_1(Engine const& eng, RealType v, IntType k, RealType f, IntType i) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_7(Engine const& eng, RealType v, IntType k, RealType f = RealType(1)) const {
return m_ < k ? generate_7_1<D + 1>(eng, v, k, f * (btrd_.nr / (m_ + 1) - btrd_.r), m_ + 1)
: m_ > k ? generate_7_2<D + 1>(eng, v * (btrd_.nr / (k + 1) - btrd_.r), k, f, k + 1)
: generate_7_3<D + 1>(eng, v, k, f)
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_7(Engine const& eng, RealType v, IntType k, RealType f = RealType(1)) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_6(Engine const& eng, RealType v, IntType k, RealType km) const {
return km <= 15
? generate_7<D + 1>(eng, v, k)
: generate_8<D + 1>(
eng, sprout::log(v), k,
(km / btrd_.npq) * (((km / RealType(3.0) + RealType(0.625)) * km + RealType(1.0) / 6) / btrd_.npq + RealType(0.5)),
-km * km / (2 * btrd_.npq))
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_6(Engine const& eng, RealType v, IntType k, RealType km) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_5(Engine const& eng, RealType v, RealType u, RealType us, IntType k) const {
return k < 0 || k > t_
? generate<D + 1>(eng)
: generate_6<D + 1>(eng, v * btrd_.alpha / (btrd_.a / (us * us) + btrd_.b), k, sprout::abs(k - m_))
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_5(Engine const& eng, RealType v, RealType u, RealType us, IntType k) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_4(Engine const& eng, RealType v, RealType u, RealType us) const {
return generate_5<D + 1>(eng, v, u, us, static_cast<IntType>(sprout::floor((2 * btrd_.a / us + btrd_.b) * u + btrd_.c)));
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_4(Engine const& eng, RealType v, RealType u, RealType us) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_3(Engine const& eng, RealType v, RealType u) const {
return generate_4<D + 1>(eng, v, u, 0.5 - sprout::abs(u));
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_3(Engine const& eng, RealType v, RealType u) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, typename Random, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_2(Random const& rnd, RealType v) const {
return v >= btrd_.v_r
? generate_3<D + 1>(
rnd.engine(), v,
rnd.result() - RealType(0.5)
)
: generate_3<D + 1>(
rnd.engine(), rnd.result() * btrd_.v_r,
((v / btrd_.v_r - RealType(0.93)) < 0 ? RealType(-0.5) : RealType(0.5)) - (v / btrd_.v_r - RealType(0.93))
)
;
}
template<int D, typename Engine, typename Random, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_2(Random const& rnd, RealType v) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_1_1(Engine const& eng, RealType u) const {
return sprout::random::random_result<Engine, binomial_distribution>(
static_cast<IntType>(sprout::floor((2 * btrd_.a / (RealType(0.5) - sprout::abs(u)) + btrd_.b) * u + btrd_.c)),
eng, *this
);
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_1_1(Engine const& eng, RealType u) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_1(Engine const& eng, RealType v) const {
return v <= btrd_.u_rv_r
? generate_1_1<D + 1>(eng, v / btrd_.v_r - RealType(0.43))
: generate_2<D + 1, Engine>(sprout::random::uniform_01<RealType>()(eng), v)
;
}
template<int D, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_1(Engine const& eng, RealType v) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D, typename Engine, typename Random, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_0(Random const& rnd) const {
return generate_1<D + 1>(rnd.engine(), rnd.result());
}
template<int D, typename Engine, typename Random, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_0(Random const& rnd) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
template<int D = 16, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate(Engine const& eng) const {
return generate_0<D + 1, Engine>(sprout::random::uniform_01<RealType>()(eng));
}
template<int D = 16, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate(Engine const& eng) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),
sprout::random::random_result<Engine, binomial_distribution>()
;
}
#else
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_10(Engine const& eng, RealType v, IntType k, IntType nm, RealType h, IntType nk) const {
return v <= h + (t_ + 1) * sprout::log(static_cast<RealType>(nm) / nk) + (k + RealType(0.5)) * sprout::log(nk * btrd_.r / (k + 1)) - fc(k) - fc(t_ - k)
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_10(Engine const& eng, RealType v, IntType k, IntType nm, RealType h, IntType nk) const {
return v <= h + (t_ + 1) * sprout::log(static_cast<RealType>(nm) / nk)
+ (k + RealType(0.5)) * sprout::log(nk * btrd_.r / (k + 1)) - fc(k) - fc(t_ - k)
? sprout::random::random_result<Engine, binomial_distribution>(k, eng, *this)
: generate(eng)
;
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_9(Engine const& eng, RealType v, IntType k, IntType nm) const {
return generate_10(eng, v, k, nm, (m_ + RealType(0.5)) * sprout::log((m_ + 1) / (btrd_.r * nm)) + fc(m_) + fc(t_ - m_), t_ - k + 1);
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_9(Engine const& eng, RealType v, IntType k, IntType nm) const {
return generate_10(
eng, v, k, nm, (m_ + RealType(0.5)) * sprout::log((m_ + 1) / (btrd_.r * nm)) + fc(m_) + fc(t_ - m_), t_ - k + 1
);
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_8(Engine const& eng, RealType v, IntType k, RealType rho, RealType t) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_8(Engine const& eng, RealType v, IntType k, RealType rho, RealType t) const {
return v < t - rho ? sprout::random::random_result<Engine, binomial_distribution>(k, eng, *this)
: v > t + rho ? generate(eng)
: generate_9(eng, v, k, t_ - m_ + 1)
;
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_7_3(Engine const& eng, RealType v, IntType k, RealType f) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_7_3(Engine const& eng, RealType v, IntType k, RealType f) const {
return v <= f
? sprout::random::random_result<Engine, binomial_distribution>(k, eng, *this)
: generate(eng)
;
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_7_2(Engine const& eng, RealType v, IntType k, RealType f, IntType i) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_7_2(Engine const& eng, RealType v, IntType k, RealType f, IntType i) const {
return i != k
? generate_7_2(eng, v * (btrd_.nr / (i + 1) - btrd_.r), k, f, i + 1)
: generate_7_3(eng, v, k, f)
;
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_7_1(Engine const& eng, RealType v, IntType k, RealType f, IntType i) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_7_1(Engine const& eng, RealType v, IntType k, RealType f, IntType i) const {
return i != k
? generate_7_1(eng, v, k, f * (btrd_.nr / (i + 1) - btrd_.r), i + 1)
: generate_7_3(eng, v, k, f)
;
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_7(Engine const& eng, RealType v, IntType k, RealType f = RealType(1)) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_7(Engine const& eng, RealType v, IntType k, RealType f = RealType(1)) const {
return m_ < k ? generate_7_1(eng, v, k, f * (btrd_.nr / (m_ + 1) - btrd_.r), m_ + 1)
: m_ > k ? generate_7_2(eng, v * (btrd_.nr / (k + 1) - btrd_.r), k, f, k + 1)
: generate_7_3(eng, v, k, f)
;
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_6(Engine const& eng, RealType v, IntType k, RealType km) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_6(Engine const& eng, RealType v, IntType k, RealType km) const {
return km <= 15
? generate_7(eng, v, k)
: generate_8(eng, sprout::log(v), k, (km / btrd_.npq) * (((km / RealType(3.0) + RealType(0.625)) * km + RealType(1.0) / 6) / btrd_.npq + RealType(0.5)), -km * km / (2 * btrd_.npq))
: generate_8(
eng, sprout::log(v), k,
(km / btrd_.npq) * (((km / RealType(3.0) + RealType(0.625)) * km + RealType(1.0) / 6) / btrd_.npq + RealType(0.5)),
-km * km / (2 * btrd_.npq))
;
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_5(Engine const& eng, RealType v, RealType u, RealType us, IntType k) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_5(Engine const& eng, RealType v, RealType u, RealType us, IntType k) const {
return k < 0 || k > t_
? generate(eng)
: generate_6(eng, v * btrd_.alpha / (btrd_.a / (us * us) + btrd_.b), k, sprout::abs(k - m_))
;
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_4(Engine const& eng, RealType v, RealType u, RealType us) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_4(Engine const& eng, RealType v, RealType u, RealType us) const {
return generate_5(eng, v, u, us, static_cast<IntType>(sprout::floor((2 * btrd_.a / us + btrd_.b) * u + btrd_.c)));
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_3(Engine const& eng, RealType v, RealType u) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_3(Engine const& eng, RealType v, RealType u) const {
return generate_4(eng, v, u, 0.5 - sprout::abs(u));
}
template<typename Engine, typename Random>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_2(Random const& rnd, RealType v) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_2(Random const& rnd, RealType v) const {
return v >= btrd_.v_r
? generate_3(
rnd.engine(),
@ -323,7 +601,8 @@ namespace sprout {
;
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_1_1(Engine const& eng, RealType u) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_1_1(Engine const& eng, RealType u) const {
return sprout::random::random_result<Engine, binomial_distribution>(
static_cast<IntType>(sprout::floor((2 * btrd_.a / (RealType(0.5) - sprout::abs(u)) + btrd_.b) * u + btrd_.c)),
eng,
@ -331,26 +610,32 @@ namespace sprout {
);
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_1(Engine const& eng, RealType v) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_1(Engine const& eng, RealType v) const {
return v <= btrd_.u_rv_r
? generate_1_1(eng, v / btrd_.v_r - RealType(0.43))
: generate_2<Engine>(sprout::random::uniform_01<RealType>()(eng), v)
;
}
template<typename Engine, typename Random>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate_0(Random const& rnd) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate_0(Random const& rnd) const {
return generate_1(rnd.engine(), rnd.result());
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate(Engine const& eng) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate(Engine const& eng) const {
return generate_0<Engine>(sprout::random::uniform_01<RealType>()(eng));
}
#endif
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate2_0(IntType t, sprout::random::random_result<Engine, binomial_distribution> const& rnd) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate2_0(IntType t, sprout::random::random_result<Engine, binomial_distribution> const& rnd) const {
return sprout::random::random_result<Engine, binomial_distribution>(t - rnd.result(), rnd.engine(), rnd.distribution());
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> generate2(IntType t, Engine const& eng) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
generate2(IntType t, Engine const& eng) const {
return generate2_0<Engine>(t, generate(eng));
}
void init() {
@ -404,7 +689,8 @@ namespace sprout {
init();
}
template<typename Engine>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution> operator()(Engine const& eng) const {
SPROUT_CONSTEXPR sprout::random::random_result<Engine, binomial_distribution>
operator()(Engine const& eng) const {
return use_inversion() ? RealType(0.5) < p_
? invert2(t_, 1 - p_, eng)
: invert(t_, p_, eng)

4
sprout/random/uniform_01.hpp
View file

@ -69,7 +69,7 @@ namespace sprout {
sprout::random::random_result<Engine, uniform_01>()
;
}
template<int D = 2, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
template<int D = 16, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_CONTINUE(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, uniform_01>
generate(Engine const& eng, sprout::random::random_result<Engine> const& rnd) const {
typedef typename Engine::result_type base_result;
@ -85,7 +85,7 @@ namespace sprout {
)
);
}
template<int D = 2, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
template<int D = 16, typename Engine, SPROUT_RECURSIVE_FUNCTION_TEMPLATE_BREAK(D)>
SPROUT_CONSTEXPR sprout::random::random_result<Engine, uniform_01>
generate(Engine const& eng, sprout::random::random_result<Engine> const& rnd) const {
return throw std::runtime_error(SPROUT_RECURSIVE_FUNCTION_TEMPLATE_INSTANTIATION_EXCEEDED_MESSAGE),