#include <boost/math/tools/config.hpp>
#include <boost/math/tools/series.hpp>
#include <boost/math/tools/precision.hpp>
+#include <boost/math/tools/big_constant.hpp>
#include <boost/math/policies/error_handling.hpp>
#include <boost/math/tools/rational.hpp>
#include <boost/math/special_functions/math_fwd.hpp>
expm1_series& operator=(const expm1_series&);
};
+template <class T, class Policy, class tag>
+struct expm1_initializer
+{
+ struct init
+ {
+ init()
+ {
+ do_init(tag());
+ }
+ template <int N>
+ static void do_init(const mpl::int_<N>&){}
+ static void do_init(const mpl::int_<64>&)
+ {
+ expm1(T(0.5));
+ }
+ static void do_init(const mpl::int_<113>&)
+ {
+ expm1(T(0.5));
+ }
+ void force_instantiate()const{}
+ };
+ static const init initializer;
+ static void force_instantiate()
+ {
+ initializer.force_instantiate();
+ }
+};
+
+template <class T, class Policy, class tag>
+const typename expm1_initializer<T, Policy, tag>::init expm1_initializer<T, Policy, tag>::initializer;
+
//
// Algorithm expm1 is part of C99, but is not yet provided by many compilers.
//
T zero = 0;
T result = tools::sum_series(s, policies::get_epsilon<T, Policy>(), max_iter, zero);
#endif
- policies::check_series_iterations("boost::math::expm1<%1%>(%1%)", max_iter, pol);
+ policies::check_series_iterations<T>("boost::math::expm1<%1%>(%1%)", max_iter, pol);
return result;
}
return x;
static const float Y = 0.10281276702880859e1f;
- static const T n[] = { -0.28127670288085937e-1, 0.51278186299064534e0, -0.6310029069350198e-1, 0.11638457975729296e-1, -0.52143390687521003e-3, 0.21491399776965688e-4 };
- static const T d[] = { 1, -0.45442309511354755e0, 0.90850389570911714e-1, -0.10088963629815502e-1, 0.63003407478692265e-3, -0.17976570003654402e-4 };
+ static const T n[] = { static_cast<T>(-0.28127670288085937e-1), static_cast<T>(0.51278186299064534e0), static_cast<T>(-0.6310029069350198e-1), static_cast<T>(0.11638457975729296e-1), static_cast<T>(-0.52143390687521003e-3), static_cast<T>(0.21491399776965688e-4) };
+ static const T d[] = { 1, static_cast<T>(-0.45442309511354755e0), static_cast<T>(0.90850389570911714e-1), static_cast<T>(-0.10088963629815502e-1), static_cast<T>(0.63003407478692265e-3), static_cast<T>(-0.17976570003654402e-4) };
T result = x * Y + x * tools::evaluate_polynomial(n, x) / tools::evaluate_polynomial(d, x);
return result;
static const float Y = 0.10281276702880859375e1f;
static const T n[] = {
- -0.281276702880859375e-1L,
- 0.512980290285154286358e0L,
- -0.667758794592881019644e-1L,
- 0.131432469658444745835e-1L,
- -0.72303795326880286965e-3L,
- 0.447441185192951335042e-4L,
- -0.714539134024984593011e-6L
+ BOOST_MATH_BIG_CONSTANT(T, 64, -0.281276702880859375e-1),
+ BOOST_MATH_BIG_CONSTANT(T, 64, 0.512980290285154286358e0),
+ BOOST_MATH_BIG_CONSTANT(T, 64, -0.667758794592881019644e-1),
+ BOOST_MATH_BIG_CONSTANT(T, 64, 0.131432469658444745835e-1),
+ BOOST_MATH_BIG_CONSTANT(T, 64, -0.72303795326880286965e-3),
+ BOOST_MATH_BIG_CONSTANT(T, 64, 0.447441185192951335042e-4),
+ BOOST_MATH_BIG_CONSTANT(T, 64, -0.714539134024984593011e-6)
};
static const T d[] = {
- 1,
- -0.461477618025562520389e0L,
- 0.961237488025708540713e-1L,
- -0.116483957658204450739e-1L,
- 0.873308008461557544458e-3L,
- -0.387922804997682392562e-4L,
- 0.807473180049193557294e-6L
+ BOOST_MATH_BIG_CONSTANT(T, 64, 1.0),
+ BOOST_MATH_BIG_CONSTANT(T, 64, -0.461477618025562520389e0),
+ BOOST_MATH_BIG_CONSTANT(T, 64, 0.961237488025708540713e-1),
+ BOOST_MATH_BIG_CONSTANT(T, 64, -0.116483957658204450739e-1),
+ BOOST_MATH_BIG_CONSTANT(T, 64, 0.873308008461557544458e-3),
+ BOOST_MATH_BIG_CONSTANT(T, 64, -0.387922804997682392562e-4),
+ BOOST_MATH_BIG_CONSTANT(T, 64, 0.807473180049193557294e-6)
};
T result = x * Y + x * tools::evaluate_polynomial(n, x) / tools::evaluate_polynomial(d, x);
static const float Y = 0.10281276702880859375e1f;
static const T n[] = {
- -0.28127670288085937499999999999999999854e-1L,
- 0.51278156911210477556524452177540792214e0L,
- -0.63263178520747096729500254678819588223e-1L,
- 0.14703285606874250425508446801230572252e-1L,
- -0.8675686051689527802425310407898459386e-3L,
- 0.88126359618291165384647080266133492399e-4L,
- -0.25963087867706310844432390015463138953e-5L,
- 0.14226691087800461778631773363204081194e-6L,
- -0.15995603306536496772374181066765665596e-8L,
- 0.45261820069007790520447958280473183582e-10L
+ BOOST_MATH_BIG_CONSTANT(T, 113, -0.28127670288085937499999999999999999854e-1),
+ BOOST_MATH_BIG_CONSTANT(T, 113, 0.51278156911210477556524452177540792214e0),
+ BOOST_MATH_BIG_CONSTANT(T, 113, -0.63263178520747096729500254678819588223e-1),
+ BOOST_MATH_BIG_CONSTANT(T, 113, 0.14703285606874250425508446801230572252e-1),
+ BOOST_MATH_BIG_CONSTANT(T, 113, -0.8675686051689527802425310407898459386e-3),
+ BOOST_MATH_BIG_CONSTANT(T, 113, 0.88126359618291165384647080266133492399e-4),
+ BOOST_MATH_BIG_CONSTANT(T, 113, -0.25963087867706310844432390015463138953e-5),
+ BOOST_MATH_BIG_CONSTANT(T, 113, 0.14226691087800461778631773363204081194e-6),
+ BOOST_MATH_BIG_CONSTANT(T, 113, -0.15995603306536496772374181066765665596e-8),
+ BOOST_MATH_BIG_CONSTANT(T, 113, 0.45261820069007790520447958280473183582e-10)
};
static const T d[] = {
- 1,
- -0.45441264709074310514348137469214538853e0L,
- 0.96827131936192217313133611655555298106e-1L,
- -0.12745248725908178612540554584374876219e-1L,
- 0.11473613871583259821612766907781095472e-2L,
- -0.73704168477258911962046591907690764416e-4L,
- 0.34087499397791555759285503797256103259e-5L,
- -0.11114024704296196166272091230695179724e-6L,
- 0.23987051614110848595909588343223896577e-8L,
- -0.29477341859111589208776402638429026517e-10L,
- 0.13222065991022301420255904060628100924e-12L
+ BOOST_MATH_BIG_CONSTANT(T, 113, 1.0),
+ BOOST_MATH_BIG_CONSTANT(T, 113, -0.45441264709074310514348137469214538853e0),
+ BOOST_MATH_BIG_CONSTANT(T, 113, 0.96827131936192217313133611655555298106e-1),
+ BOOST_MATH_BIG_CONSTANT(T, 113, -0.12745248725908178612540554584374876219e-1),
+ BOOST_MATH_BIG_CONSTANT(T, 113, 0.11473613871583259821612766907781095472e-2),
+ BOOST_MATH_BIG_CONSTANT(T, 113, -0.73704168477258911962046591907690764416e-4),
+ BOOST_MATH_BIG_CONSTANT(T, 113, 0.34087499397791555759285503797256103259e-5),
+ BOOST_MATH_BIG_CONSTANT(T, 113, -0.11114024704296196166272091230695179724e-6),
+ BOOST_MATH_BIG_CONSTANT(T, 113, 0.23987051614110848595909588343223896577e-8),
+ BOOST_MATH_BIG_CONSTANT(T, 113, -0.29477341859111589208776402638429026517e-10),
+ BOOST_MATH_BIG_CONSTANT(T, 113, 0.13222065991022301420255904060628100924e-12)
};
T result = x * Y + x * tools::evaluate_polynomial(n, x) / tools::evaluate_polynomial(d, x);
>::type
>::type tag_type;
+ detail::expm1_initializer<value_type, forwarding_policy, tag_type>::force_instantiate();
+
return policies::checked_narrowing_cast<result_type, forwarding_policy>(detail::expm1_imp(
static_cast<value_type>(x),
tag_type(), forwarding_policy()), "boost::math::expm1<%1%>(%1%)");
inline long double expm1(long double x, const policies::policy<>&){ return ::expm1l(x); }
# endif
# else
-inline float expm1(float x, const policies::policy<>&){ return ::expm1(x); }
+inline float expm1(float x, const policies::policy<>&){ return static_cast<float>(::expm1(x)); }
# endif
inline double expm1(double x, const policies::policy<>&){ return ::expm1(x); }
#endif