FM / detail

/usr/include/boost/math/special_functions/detail/

/usr/include/boost/math/special_functions/detail

Name	Size	Mode	Actions
airy_ai_bi_zero.hpp	6294	0644	edit dl rm
bernoulli_details.hpp	26513	0644	edit dl rm
bessel_derivatives_linear.hpp	3378	0644	edit dl rm
bessel_i0.hpp	28135	0644	edit dl rm
bessel_i1.hpp	29933	0644	edit dl rm
bessel_ik.hpp	13917	0644	edit dl rm
bessel_j0.hpp	8585	0644	edit dl rm
bessel_j1.hpp	8951	0644	edit dl rm
bessel_jn.hpp	3909	0644	edit dl rm
bessel_jy.hpp	21868	0644	edit dl rm
bessel_jy_asym.hpp	6488	0644	edit dl rm
bessel_jy_derivatives_asym.hpp	4649	0644	edit dl rm
bessel_jy_derivatives_series.hpp	6944	0644	edit dl rm
bessel_jy_series.hpp	7241	0644	edit dl rm
bessel_jy_zero.hpp	24967	0644	edit dl rm
bessel_k0.hpp	22178	0644	edit dl rm
bessel_k1.hpp	25465	0644	edit dl rm
bessel_kn.hpp	2249	0644	edit dl rm
bessel_y0.hpp	10805	0644	edit dl rm
bessel_y1.hpp	9458	0644	edit dl rm
bessel_yn.hpp	3118	0644	edit dl rm
daubechies_scaling_integer_grid.hpp	233788	0644	edit dl rm
erf_inv.hpp	22738	0644	edit dl rm
fp_traits.hpp	17193	0644	edit dl rm
gamma_inva.hpp	7066	0644	edit dl rm
hypergeometric_0F1_bessel.hpp	1543	0644	edit dl rm
hypergeometric_1F1_addition_theorems_on_z.hpp	12980	0644	edit dl rm
hypergeometric_1F1_bessel.hpp	32781	0644	edit dl rm
hypergeometric_1F1_by_ratios.hpp	33540	0644	edit dl rm
hypergeometric_1F1_cf.hpp	1830	0644	edit dl rm
hypergeometric_1F1_large_a.hpp	1159	0644	edit dl rm
hypergeometric_1F1_large_abz.hpp	22101	0644	edit dl rm
hypergeometric_1F1_negative_b_regions.hpp	33376	0644	edit dl rm
hypergeometric_1F1_recurrence.hpp	17295	0644	edit dl rm
hypergeometric_1F1_scaled_series.hpp	2183	0644	edit dl rm
hypergeometric_1F1_small_a_negative_b_by_ratio.hpp	3893	0644	edit dl rm
hypergeometric_asym.hpp	5902	0644	edit dl rm
hypergeometric_cf.hpp	5826	0644	edit dl rm
hypergeometric_pade.hpp	3837	0644	edit dl rm
hypergeometric_pFq_checked_series.hpp	27943	0644	edit dl rm
hypergeometric_rational.hpp	5068	0644	edit dl rm
hypergeometric_separated_series.hpp	1449	0644	edit dl rm
hypergeometric_series.hpp	14422	0644	edit dl rm
ibeta_inverse.hpp	34072	0644	edit dl rm
ibeta_inv_ab.hpp	10363	0644	edit dl rm
iconv.hpp	1009	0644	edit dl rm
igamma_inverse.hpp	17414	0644	edit dl rm
igamma_large.hpp	39534	0644	edit dl rm
lambert_w_lookup_table.ipp	15601	0644	edit dl rm
lanczos_sse2.hpp	8916	0644	edit dl rm
lgamma_small.hpp	23295	0644	edit dl rm
polygamma.hpp	22596	0644	edit dl rm
round_fwd.hpp	2794	0644	edit dl rm
t_distribution_inv.hpp	17735	0644	edit dl rm
unchecked_bernoulli.hpp	76437	0644	edit dl rm
unchecked_factorial.hpp	46290	0644	edit dl rm

Edit: /usr/include/boost/math/special_functions/detail/unchecked_factorial.hpp (46290B)

//  Copyright John Maddock 2006.
//  Use, modification and distribution are subject to 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)

#ifndef BOOST_MATH_SP_UC_FACTORIALS_HPP
#define BOOST_MATH_SP_UC_FACTORIALS_HPP

#ifdef _MSC_VER
#pragma once
#endif

#ifdef BOOST_MSVC
#pragma warning(push) // Temporary until lexical cast fixed.
#pragma warning(disable: 4127 4701)
#endif
#ifndef BOOST_MATH_NO_LEXICAL_CAST
#include <boost/lexical_cast.hpp>
#endif
#ifdef BOOST_MSVC
#pragma warning(pop)
#endif
#include <cmath>
#include <boost/math/special_functions/math_fwd.hpp>
#include <boost/math/tools/cxx03_warn.hpp>

#ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES
#include <array>
#else
#include <boost/array.hpp>
#endif

#if defined(__GNUC__) && defined(BOOST_MATH_USE_FLOAT128)
//
// This is the only way we can avoid
// warning: non-standard suffix on floating constant [-Wpedantic]
// when building with -Wall -pedantic.  Neither __extension__
// nor #pragma diagnostic ignored work :(
//
#pragma GCC system_header
#endif

namespace boost { namespace math
{
// Forward declarations:
template <class T>
struct max_factorial;

// Definitions:
template <>
inline BOOST_MATH_CONSTEXPR_TABLE_FUNCTION float unchecked_factorial<float>(unsigned i BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(float))
{
#ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES
   constexpr std::array<float, 35> factorials = { {
#else
   static const boost::array<float, 35> factorials = {{
#endif
      1.0F,
      1.0F,
      2.0F,
      6.0F,
      24.0F,
      120.0F,
      720.0F,
      5040.0F,
      40320.0F,
      362880.0F,
      3628800.0F,
      39916800.0F,
      479001600.0F,
      6227020800.0F,
      87178291200.0F,
      1307674368000.0F,
      20922789888000.0F,
      355687428096000.0F,
      6402373705728000.0F,
      121645100408832000.0F,
      0.243290200817664e19F,
      0.5109094217170944e20F,
      0.112400072777760768e22F,
      0.2585201673888497664e23F,
      0.62044840173323943936e24F,
      0.15511210043330985984e26F,
      0.403291461126605635584e27F,
      0.10888869450418352160768e29F,
      0.304888344611713860501504e30F,
      0.8841761993739701954543616e31F,
      0.26525285981219105863630848e33F,
      0.822283865417792281772556288e34F,
      0.26313083693369353016721801216e36F,
      0.868331761881188649551819440128e37F,
      0.29523279903960414084761860964352e39F,
   }};

return factorials[i];
}

template <>
struct max_factorial<float>
{
   BOOST_STATIC_CONSTANT(unsigned, value = 34);
};

template <>
inline BOOST_MATH_CONSTEXPR_TABLE_FUNCTION long double unchecked_factorial<long double>(unsigned i BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(long double))
{
#ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES
   constexpr std::array<long double, 171> factorials = { {
#else
   static const boost::array<long double, 171> factorials = {{
#endif
      1L,
      1L,
      2L,
      6L,
      24L,
      120L,
      720L,
      5040L,
      40320L,
      362880.0L,
      3628800.0L,
      39916800.0L,
      479001600.0L,
      6227020800.0L,
      87178291200.0L,
      1307674368000.0L,
      20922789888000.0L,
      355687428096000.0L,
      6402373705728000.0L,
      121645100408832000.0L,
      0.243290200817664e19L,
      0.5109094217170944e20L,
      0.112400072777760768e22L,
      0.2585201673888497664e23L,
      0.62044840173323943936e24L,
      0.15511210043330985984e26L,
      0.403291461126605635584e27L,
      0.10888869450418352160768e29L,
      0.304888344611713860501504e30L,
      0.8841761993739701954543616e31L,
      0.26525285981219105863630848e33L,
      0.822283865417792281772556288e34L,
      0.26313083693369353016721801216e36L,
      0.868331761881188649551819440128e37L,
      0.29523279903960414084761860964352e39L,
      0.103331479663861449296666513375232e41L,
      0.3719933267899012174679994481508352e42L,
      0.137637530912263450463159795815809024e44L,
      0.5230226174666011117600072241000742912e45L,
      0.203978820811974433586402817399028973568e47L,
      0.815915283247897734345611269596115894272e48L,
      0.3345252661316380710817006205344075166515e50L,
      0.1405006117752879898543142606244511569936e52L,
      0.6041526306337383563735513206851399750726e53L,
      0.265827157478844876804362581101461589032e55L,
      0.1196222208654801945619631614956577150644e57L,
      0.5502622159812088949850305428800254892962e58L,
      0.2586232415111681806429643551536119799692e60L,
      0.1241391559253607267086228904737337503852e62L,
      0.6082818640342675608722521633212953768876e63L,
      0.3041409320171337804361260816606476884438e65L,
      0.1551118753287382280224243016469303211063e67L,
      0.8065817517094387857166063685640376697529e68L,
      0.427488328406002556429801375338939964969e70L,
      0.2308436973392413804720927426830275810833e72L,
      0.1269640335365827592596510084756651695958e74L,
      0.7109985878048634518540456474637249497365e75L,
      0.4052691950487721675568060190543232213498e77L,
      0.2350561331282878571829474910515074683829e79L,
      0.1386831185456898357379390197203894063459e81L,
      0.8320987112741390144276341183223364380754e82L,
      0.507580213877224798800856812176625227226e84L,
      0.3146997326038793752565312235495076408801e86L,
      0.1982608315404440064116146708361898137545e88L,
      0.1268869321858841641034333893351614808029e90L,
      0.8247650592082470666723170306785496252186e91L,
      0.5443449390774430640037292402478427526443e93L,
      0.3647111091818868528824985909660546442717e95L,
      0.2480035542436830599600990418569171581047e97L,
      0.1711224524281413113724683388812728390923e99L,
      0.1197857166996989179607278372168909873646e101L,
      0.8504785885678623175211676442399260102886e102L,
      0.6123445837688608686152407038527467274078e104L,
      0.4470115461512684340891257138125051110077e106L,
      0.3307885441519386412259530282212537821457e108L,
      0.2480914081139539809194647711659403366093e110L,
      0.188549470166605025498793226086114655823e112L,
      0.1451830920282858696340707840863082849837e114L,
      0.1132428117820629783145752115873204622873e116L,
      0.8946182130782975286851441715398316520698e117L,
      0.7156945704626380229481153372318653216558e119L,
      0.5797126020747367985879734231578109105412e121L,
      0.4753643337012841748421382069894049466438e123L,
      0.3945523969720658651189747118012061057144e125L,
      0.3314240134565353266999387579130131288001e127L,
      0.2817104114380550276949479442260611594801e129L,
      0.2422709538367273238176552320344125971528e131L,
      0.210775729837952771721360051869938959523e133L,
      0.1854826422573984391147968456455462843802e135L,
      0.1650795516090846108121691926245361930984e137L,
      0.1485715964481761497309522733620825737886e139L,
      0.1352001527678402962551665687594951421476e141L,
      0.1243841405464130725547532432587355307758e143L,
      0.1156772507081641574759205162306240436215e145L,
      0.1087366156656743080273652852567866010042e147L,
      0.103299784882390592625997020993947270954e149L,
      0.9916779348709496892095714015418938011582e150L,
      0.9619275968248211985332842594956369871234e152L,
      0.942689044888324774562618574305724247381e154L,
      0.9332621544394415268169923885626670049072e156L,
      0.9332621544394415268169923885626670049072e158L,
      0.9425947759838359420851623124482936749562e160L,
      0.9614466715035126609268655586972595484554e162L,
      0.990290071648618040754671525458177334909e164L,
      0.1029901674514562762384858386476504428305e167L,
      0.1081396758240290900504101305800329649721e169L,
      0.1146280563734708354534347384148349428704e171L,
      0.1226520203196137939351751701038733888713e173L,
      0.132464181945182897449989183712183259981e175L,
      0.1443859583202493582204882102462797533793e177L,
      0.1588245541522742940425370312709077287172e179L,
      0.1762952551090244663872161047107075788761e181L,
      0.1974506857221074023536820372759924883413e183L,
      0.2231192748659813646596607021218715118256e185L,
      0.2543559733472187557120132004189335234812e187L,
      0.2925093693493015690688151804817735520034e189L,
      0.339310868445189820119825609358857320324e191L,
      0.396993716080872089540195962949863064779e193L,
      0.4684525849754290656574312362808384164393e195L,
      0.5574585761207605881323431711741977155627e197L,
      0.6689502913449127057588118054090372586753e199L,
      0.8094298525273443739681622845449350829971e201L,
      0.9875044200833601362411579871448208012564e203L,
      0.1214630436702532967576624324188129585545e206L,
      0.1506141741511140879795014161993280686076e208L,
      0.1882677176888926099743767702491600857595e210L,
      0.237217324288004688567714730513941708057e212L,
      0.3012660018457659544809977077527059692324e214L,
      0.3856204823625804217356770659234636406175e216L,
      0.4974504222477287440390234150412680963966e218L,
      0.6466855489220473672507304395536485253155e220L,
      0.8471580690878820510984568758152795681634e222L,
      0.1118248651196004307449963076076169029976e225L,
      0.1487270706090685728908450891181304809868e227L,
      0.1992942746161518876737324194182948445223e229L,
      0.269047270731805048359538766214698040105e231L,
      0.3659042881952548657689727220519893345429e233L,
      0.5012888748274991661034926292112253883237e235L,
      0.6917786472619488492228198283114910358867e237L,
      0.9615723196941089004197195613529725398826e239L,
      0.1346201247571752460587607385894161555836e242L,
      0.1898143759076170969428526414110767793728e244L,
      0.2695364137888162776588507508037290267094e246L,
      0.3854370717180072770521565736493325081944e248L,
      0.5550293832739304789551054660550388118e250L,
      0.80479260574719919448490292577980627711e252L,
      0.1174997204390910823947958271638517164581e255L,
      0.1727245890454638911203498659308620231933e257L,
      0.2556323917872865588581178015776757943262e259L,
      0.380892263763056972698595524350736933546e261L,
      0.571338395644585459047893286526105400319e263L,
      0.8627209774233240431623188626544191544816e265L,
      0.1311335885683452545606724671234717114812e268L,
      0.2006343905095682394778288746989117185662e270L,
      0.308976961384735088795856467036324046592e272L,
      0.4789142901463393876335775239063022722176e274L,
      0.7471062926282894447083809372938315446595e276L,
      0.1172956879426414428192158071551315525115e279L,
      0.1853271869493734796543609753051078529682e281L,
      0.2946702272495038326504339507351214862195e283L,
      0.4714723635992061322406943211761943779512e285L,
      0.7590705053947218729075178570936729485014e287L,
      0.1229694218739449434110178928491750176572e290L,
      0.2004401576545302577599591653441552787813e292L,
      0.3287218585534296227263330311644146572013e294L,
      0.5423910666131588774984495014212841843822e296L,
      0.9003691705778437366474261723593317460744e298L,
      0.1503616514864999040201201707840084015944e301L,
      0.2526075744973198387538018869171341146786e303L,
      0.4269068009004705274939251888899566538069e305L,
      0.7257415615307998967396728211129263114717e307L,
   }};

return factorials[i];
}

template <>
struct max_factorial<long double>
{
   BOOST_STATIC_CONSTANT(unsigned, value = 170);
};

#ifdef BOOST_MATH_USE_FLOAT128

template <>
inline BOOST_MATH_CONSTEXPR_TABLE_FUNCTION BOOST_MATH_FLOAT128_TYPE unchecked_factorial<BOOST_MATH_FLOAT128_TYPE>(unsigned i)
{
#ifdef BOOST_MATH_HAVE_CONSTEXPR_TABLES
   constexpr std::array<BOOST_MATH_FLOAT128_TYPE, 171> factorials = { {
#else
   static const boost::array<BOOST_MATH_FLOAT128_TYPE, 171> factorials = { {
#endif
      1,
      1,
      2,
      6,
      24,
      120,
      720,
      5040,
      40320,
      362880.0Q,
      3628800.0Q,
      39916800.0Q,
      479001600.0Q,
      6227020800.0Q,
      87178291200.0Q,
      1307674368000.0Q,
      20922789888000.0Q,
      355687428096000.0Q,
      6402373705728000.0Q,
      121645100408832000.0Q,
      0.243290200817664e19Q,
      0.5109094217170944e20Q,
      0.112400072777760768e22Q,
      0.2585201673888497664e23Q,
      0.62044840173323943936e24Q,
      0.15511210043330985984e26Q,
      0.403291461126605635584e27Q,
      0.10888869450418352160768e29Q,
      0.304888344611713860501504e30Q,
      0.8841761993739701954543616e31Q,
      0.26525285981219105863630848e33Q,
      0.822283865417792281772556288e34Q,
      0.26313083693369353016721801216e36Q,
      0.868331761881188649551819440128e37Q,
      0.29523279903960414084761860964352e39Q,
      0.103331479663861449296666513375232e41Q,
      0.3719933267899012174679994481508352e42Q,
      0.137637530912263450463159795815809024e44Q,
      0.5230226174666011117600072241000742912e45Q,
      0.203978820811974433586402817399028973568e47Q,
      0.815915283247897734345611269596115894272e48Q,
      0.3345252661316380710817006205344075166515e50Q,
      0.1405006117752879898543142606244511569936e52Q,
      0.6041526306337383563735513206851399750726e53Q,
      0.265827157478844876804362581101461589032e55Q,
      0.1196222208654801945619631614956577150644e57Q,
      0.5502622159812088949850305428800254892962e58Q,
      0.2586232415111681806429643551536119799692e60Q,
      0.1241391559253607267086228904737337503852e62Q,
      0.6082818640342675608722521633212953768876e63Q,
      0.3041409320171337804361260816606476884438e65Q,
      0.1551118753287382280224243016469303211063e67Q,
      0.8065817517094387857166063685640376697529e68Q,
      0.427488328406002556429801375338939964969e70Q,
      0.2308436973392413804720927426830275810833e72Q,
      0.1269640335365827592596510084756651695958e74Q,
      0.7109985878048634518540456474637249497365e75Q,
      0.4052691950487721675568060190543232213498e77Q,
      0.2350561331282878571829474910515074683829e79Q,
      0.1386831185456898357379390197203894063459e81Q,
      0.8320987112741390144276341183223364380754e82Q,
      0.507580213877224798800856812176625227226e84Q,
      0.3146997326038793752565312235495076408801e86Q,
      0.1982608315404440064116146708361898137545e88Q,
      0.1268869321858841641034333893351614808029e90Q,
      0.8247650592082470666723170306785496252186e91Q,
      0.5443449390774430640037292402478427526443e93Q,
      0.3647111091818868528824985909660546442717e95Q,
      0.2480035542436830599600990418569171581047e97Q,
      0.1711224524281413113724683388812728390923e99Q,
      0.1197857166996989179607278372168909873646e101Q,
      0.8504785885678623175211676442399260102886e102Q,
      0.6123445837688608686152407038527467274078e104Q,
      0.4470115461512684340891257138125051110077e106Q,
      0.3307885441519386412259530282212537821457e108Q,
      0.2480914081139539809194647711659403366093e110Q,
      0.188549470166605025498793226086114655823e112Q,
      0.1451830920282858696340707840863082849837e114Q,
      0.1132428117820629783145752115873204622873e116Q,
      0.8946182130782975286851441715398316520698e117Q,
      0.7156945704626380229481153372318653216558e119Q,
      0.5797126020747367985879734231578109105412e121Q,
      0.4753643337012841748421382069894049466438e123Q,
      0.3945523969720658651189747118012061057144e125Q,
      0.3314240134565353266999387579130131288001e127Q,
      0.2817104114380550276949479442260611594801e129Q,
      0.2422709538367273238176552320344125971528e131Q,
      0.210775729837952771721360051869938959523e133Q,
      0.1854826422573984391147968456455462843802e135Q,
      0.1650795516090846108121691926245361930984e137Q,
      0.1485715964481761497309522733620825737886e139Q,
      0.1352001527678402962551665687594951421476e141Q,
      0.1243841405464130725547532432587355307758e143Q,
      0.1156772507081641574759205162306240436215e145Q,
      0.1087366156656743080273652852567866010042e147Q,
      0.103299784882390592625997020993947270954e149Q,
      0.9916779348709496892095714015418938011582e150Q,
      0.9619275968248211985332842594956369871234e152Q,
      0.942689044888324774562618574305724247381e154Q,
      0.9332621544394415268169923885626670049072e156Q,
      0.9332621544394415268169923885626670049072e158Q,
      0.9425947759838359420851623124482936749562e160Q,
      0.9614466715035126609268655586972595484554e162Q,
      0.990290071648618040754671525458177334909e164Q,
      0.1029901674514562762384858386476504428305e167Q,
      0.1081396758240290900504101305800329649721e169Q,
      0.1146280563734708354534347384148349428704e171Q,
      0.1226520203196137939351751701038733888713e173Q,
      0.132464181945182897449989183712183259981e175Q,
      0.1443859583202493582204882102462797533793e177Q,
      0.1588245541522742940425370312709077287172e179Q,
      0.1762952551090244663872161047107075788761e181Q,
      0.1974506857221074023536820372759924883413e183Q,
      0.2231192748659813646596607021218715118256e185Q,
      0.2543559733472187557120132004189335234812e187Q,
      0.2925093693493015690688151804817735520034e189Q,
      0.339310868445189820119825609358857320324e191Q,
      0.396993716080872089540195962949863064779e193Q,
      0.4684525849754290656574312362808384164393e195Q,
      0.5574585761207605881323431711741977155627e197Q,
      0.6689502913449127057588118054090372586753e199Q,
      0.8094298525273443739681622845449350829971e201Q,
      0.9875044200833601362411579871448208012564e203Q,
      0.1214630436702532967576624324188129585545e206Q,
      0.1506141741511140879795014161993280686076e208Q,
      0.1882677176888926099743767702491600857595e210Q,
      0.237217324288004688567714730513941708057e212Q,
      0.3012660018457659544809977077527059692324e214Q,
      0.3856204823625804217356770659234636406175e216Q,
      0.4974504222477287440390234150412680963966e218Q,
      0.6466855489220473672507304395536485253155e220Q,
      0.8471580690878820510984568758152795681634e222Q,
      0.1118248651196004307449963076076169029976e225Q,
      0.1487270706090685728908450891181304809868e227Q,
      0.1992942746161518876737324194182948445223e229Q,
      0.269047270731805048359538766214698040105e231Q,
      0.3659042881952548657689727220519893345429e233Q,
      0.5012888748274991661034926292112253883237e235Q,
      0.6917786472619488492228198283114910358867e237Q,
      0.9615723196941089004197195613529725398826e239Q,
      0.1346201247571752460587607385894161555836e242Q,
      0.1898143759076170969428526414110767793728e244Q,
      0.2695364137888162776588507508037290267094e246Q,
      0.3854370717180072770521565736493325081944e248Q,
      0.5550293832739304789551054660550388118e250Q,
      0.80479260574719919448490292577980627711e252Q,
      0.1174997204390910823947958271638517164581e255Q,
      0.1727245890454638911203498659308620231933e257Q,
      0.2556323917872865588581178015776757943262e259Q,
      0.380892263763056972698595524350736933546e261Q,
      0.571338395644585459047893286526105400319e263Q,
      0.8627209774233240431623188626544191544816e265Q,
      0.1311335885683452545606724671234717114812e268Q,
      0.2006343905095682394778288746989117185662e270Q,
      0.308976961384735088795856467036324046592e272Q,
      0.4789142901463393876335775239063022722176e274Q,
      0.7471062926282894447083809372938315446595e276Q,
      0.1172956879426414428192158071551315525115e279Q,
      0.1853271869493734796543609753051078529682e281Q,
      0.2946702272495038326504339507351214862195e283Q,
      0.4714723635992061322406943211761943779512e285Q,
      0.7590705053947218729075178570936729485014e287Q,
      0.1229694218739449434110178928491750176572e290Q,
      0.2004401576545302577599591653441552787813e292Q,
      0.3287218585534296227263330311644146572013e294Q,
      0.5423910666131588774984495014212841843822e296Q,
      0.9003691705778437366474261723593317460744e298Q,
      0.1503616514864999040201201707840084015944e301Q,
      0.2526075744973198387538018869171341146786e303Q,
      0.4269068009004705274939251888899566538069e305Q,
      0.7257415615307998967396728211129263114717e307Q,
   } };

return factorials[i];
}

template <>
struct max_factorial<BOOST_MATH_FLOAT128_TYPE>
{
   BOOST_STATIC_CONSTANT(unsigned, value = 170);
};

#endif

template <>
inline BOOST_MATH_CONSTEXPR_TABLE_FUNCTION double unchecked_factorial<double>(unsigned i BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(double))
{
   return static_cast<double>(boost::math::unchecked_factorial<long double>(i));
}

template <>
struct max_factorial<double>
{
   BOOST_STATIC_CONSTANT(unsigned,
      value = ::boost::math::max_factorial<long double>::value);
};

#ifndef BOOST_MATH_NO_LEXICAL_CAST

template <class T>
struct unchecked_factorial_initializer
{
   struct init
   {
      init()
      {
         boost::math::unchecked_factorial<T>(3);
      }
      void force_instantiate()const {}
   };
   static const init initializer;
   static void force_instantiate()
   {
      initializer.force_instantiate();
   }
};

template <class T>
const typename unchecked_factorial_initializer<T>::init unchecked_factorial_initializer<T>::initializer;

template <class T, int N>
inline T unchecked_factorial_imp(unsigned i, const boost::integral_constant<int, N>&)
{
   BOOST_STATIC_ASSERT(!boost::is_integral<T>::value);
   // factorial<unsigned int>(n) is not implemented
   // because it would overflow integral type T for too small n
   // to be useful. Use instead a floating-point type,
   // and convert to an unsigned type if essential, for example:
   // unsigned int nfac = static_cast<unsigned int>(factorial<double>(n));
   // See factorial documentation for more detail.

unchecked_factorial_initializer<T>::force_instantiate();

static const boost::array<T, 101> factorials = {{
      T(boost::math::tools::convert_from_string<T>("1")),
      T(boost::math::tools::convert_from_string<T>("1")),
      T(boost::math::tools::convert_from_string<T>("2")),
      T(boost::math::tools::convert_from_string<T>("6")),
      T(boost::math::tools::convert_from_string<T>("24")),
      T(boost::math::tools::convert_from_string<T>("120")),
      T(boost::math::tools::convert_from_string<T>("720")),
      T(boost::math::tools::convert_from_string<T>("5040")),
      T(boost::math::tools::convert_from_string<T>("40320")),
      T(boost::math::tools::convert_from_string<T>("362880")),
      T(boost::math::tools::convert_from_string<T>("3628800")),
      T(boost::math::tools::convert_from_string<T>("39916800")),
      T(boost::math::tools::convert_from_string<T>("479001600")),
      T(boost::math::tools::convert_from_string<T>("6227020800")),
      T(boost::math::tools::convert_from_string<T>("87178291200")),
      T(boost::math::tools::convert_from_string<T>("1307674368000")),
      T(boost::math::tools::convert_from_string<T>("20922789888000")),
      T(boost::math::tools::convert_from_string<T>("355687428096000")),
      T(boost::math::tools::convert_from_string<T>("6402373705728000")),
      T(boost::math::tools::convert_from_string<T>("121645100408832000")),
      T(boost::math::tools::convert_from_string<T>("2432902008176640000")),
      T(boost::math::tools::convert_from_string<T>("51090942171709440000")),
      T(boost::math::tools::convert_from_string<T>("1124000727777607680000")),
      T(boost::math::tools::convert_from_string<T>("25852016738884976640000")),
      T(boost::math::tools::convert_from_string<T>("620448401733239439360000")),
      T(boost::math::tools::convert_from_string<T>("15511210043330985984000000")),
      T(boost::math::tools::convert_from_string<T>("403291461126605635584000000")),
      T(boost::math::tools::convert_from_string<T>("10888869450418352160768000000")),
      T(boost::math::tools::convert_from_string<T>("304888344611713860501504000000")),
      T(boost::math::tools::convert_from_string<T>("8841761993739701954543616000000")),
      T(boost::math::tools::convert_from_string<T>("265252859812191058636308480000000")),
      T(boost::math::tools::convert_from_string<T>("8222838654177922817725562880000000")),
      T(boost::math::tools::convert_from_string<T>("263130836933693530167218012160000000")),
      T(boost::math::tools::convert_from_string<T>("8683317618811886495518194401280000000")),
      T(boost::math::tools::convert_from_string<T>("295232799039604140847618609643520000000")),
      T(boost::math::tools::convert_from_string<T>("10333147966386144929666651337523200000000")),
      T(boost::math::tools::convert_from_string<T>("371993326789901217467999448150835200000000")),
      T(boost::math::tools::convert_from_string<T>("13763753091226345046315979581580902400000000")),
      T(boost::math::tools::convert_from_string<T>("523022617466601111760007224100074291200000000")),
      T(boost::math::tools::convert_from_string<T>("20397882081197443358640281739902897356800000000")),
      T(boost::math::tools::convert_from_string<T>("815915283247897734345611269596115894272000000000")),
      T(boost::math::tools::convert_from_string<T>("33452526613163807108170062053440751665152000000000")),
      T(boost::math::tools::convert_from_string<T>("1405006117752879898543142606244511569936384000000000")),
      T(boost::math::tools::convert_from_string<T>("60415263063373835637355132068513997507264512000000000")),
      T(boost::math::tools::convert_from_string<T>("2658271574788448768043625811014615890319638528000000000")),
      T(boost::math::tools::convert_from_string<T>("119622220865480194561963161495657715064383733760000000000")),
      T(boost::math::tools::convert_from_string<T>("5502622159812088949850305428800254892961651752960000000000")),
      T(boost::math::tools::convert_from_string<T>("258623241511168180642964355153611979969197632389120000000000")),
      T(boost::math::tools::convert_from_string<T>("12413915592536072670862289047373375038521486354677760000000000")),
      T(boost::math::tools::convert_from_string<T>("608281864034267560872252163321295376887552831379210240000000000")),
      T(boost::math::tools::convert_from_string<T>("30414093201713378043612608166064768844377641568960512000000000000")),
      T(boost::math::tools::convert_from_string<T>("1551118753287382280224243016469303211063259720016986112000000000000")),
      T(boost::math::tools::convert_from_string<T>("80658175170943878571660636856403766975289505440883277824000000000000")),
      T(boost::math::tools::convert_from_string<T>("4274883284060025564298013753389399649690343788366813724672000000000000")),
      T(boost::math::tools::convert_from_string<T>("230843697339241380472092742683027581083278564571807941132288000000000000")),
      T(boost::math::tools::convert_from_string<T>("12696403353658275925965100847566516959580321051449436762275840000000000000")),
      T(boost::math::tools::convert_from_string<T>("710998587804863451854045647463724949736497978881168458687447040000000000000")),
      T(boost::math::tools::convert_from_string<T>("40526919504877216755680601905432322134980384796226602145184481280000000000000")),
      T(boost::math::tools::convert_from_string<T>("2350561331282878571829474910515074683828862318181142924420699914240000000000000")),
      T(boost::math::tools::convert_from_string<T>("138683118545689835737939019720389406345902876772687432540821294940160000000000000")),
      T(boost::math::tools::convert_from_string<T>("8320987112741390144276341183223364380754172606361245952449277696409600000000000000")),
      T(boost::math::tools::convert_from_string<T>("507580213877224798800856812176625227226004528988036003099405939480985600000000000000")),
      T(boost::math::tools::convert_from_string<T>("31469973260387937525653122354950764088012280797258232192163168247821107200000000000000")),
      T(boost::math::tools::convert_from_string<T>("1982608315404440064116146708361898137544773690227268628106279599612729753600000000000000")),
      T(boost::math::tools::convert_from_string<T>("126886932185884164103433389335161480802865516174545192198801894375214704230400000000000000")),
      T(boost::math::tools::convert_from_string<T>("8247650592082470666723170306785496252186258551345437492922123134388955774976000000000000000")),
      T(boost::math::tools::convert_from_string<T>("544344939077443064003729240247842752644293064388798874532860126869671081148416000000000000000")),
      T(boost::math::tools::convert_from_string<T>("36471110918188685288249859096605464427167635314049524593701628500267962436943872000000000000000")),
      T(boost::math::tools::convert_from_string<T>("2480035542436830599600990418569171581047399201355367672371710738018221445712183296000000000000000")),
      T(boost::math::tools::convert_from_string<T>("171122452428141311372468338881272839092270544893520369393648040923257279754140647424000000000000000")),
      T(boost::math::tools::convert_from_string<T>("11978571669969891796072783721689098736458938142546425857555362864628009582789845319680000000000000000")),
      T(boost::math::tools::convert_from_string<T>("850478588567862317521167644239926010288584608120796235886430763388588680378079017697280000000000000000")),
      T(boost::math::tools::convert_from_string<T>("61234458376886086861524070385274672740778091784697328983823014963978384987221689274204160000000000000000")),
      T(boost::math::tools::convert_from_string<T>("4470115461512684340891257138125051110076800700282905015819080092370422104067183317016903680000000000000000")),
      T(boost::math::tools::convert_from_string<T>("330788544151938641225953028221253782145683251820934971170611926835411235700971565459250872320000000000000000")),
      T(boost::math::tools::convert_from_string<T>("24809140811395398091946477116594033660926243886570122837795894512655842677572867409443815424000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("1885494701666050254987932260861146558230394535379329335672487982961844043495537923117729972224000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("145183092028285869634070784086308284983740379224208358846781574688061991349156420080065207861248000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("11324281178206297831457521158732046228731749579488251990048962825668835325234200766245086213177344000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("894618213078297528685144171539831652069808216779571907213868063227837990693501860533361810841010176000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("5797126020747367985879734231578109105412357244731625958745865049716390179693892056256184534249745940480000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("475364333701284174842138206989404946643813294067993328617160934076743994734899148613007131808479167119360000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("39455239697206586511897471180120610571436503407643446275224357528369751562996629334879591940103770870906880000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("3314240134565353266999387579130131288000666286242049487118846032383059131291716864129885722968716753156177920000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("281710411438055027694947944226061159480056634330574206405101912752560026159795933451040286452340924018275123200000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("24227095383672732381765523203441259715284870552429381750838764496720162249742450276789464634901319465571660595200000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("2107757298379527717213600518699389595229783738061356212322972511214654115727593174080683423236414793504734471782400000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("185482642257398439114796845645546284380220968949399346684421580986889562184028199319100141244804501828416633516851200000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("16507955160908461081216919262453619309839666236496541854913520707833171034378509739399912570787600662729080382999756800000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("1485715964481761497309522733620825737885569961284688766942216863704985393094065876545992131370884059645617234469978112000000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("135200152767840296255166568759495142147586866476906677791741734597153670771559994765685283954750449427751168336768008192000000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("12438414054641307255475324325873553077577991715875414356840239582938137710983519518443046123837041347353107486982656753664000000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("1156772507081641574759205162306240436214753229576413535186142281213246807121467315215203289516844845303838996289387078090752000000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("108736615665674308027365285256786601004186803580182872307497374434045199869417927630229109214583415458560865651202385340530688000000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("10329978488239059262599702099394727095397746340117372869212250571234293987594703124871765375385424468563282236864226607350415360000000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("991677934870949689209571401541893801158183648651267795444376054838492222809091499987689476037000748982075094738965754305639874560000000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("96192759682482119853328425949563698712343813919172976158104477319333745612481875498805879175589072651261284189679678167647067832320000000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("9426890448883247745626185743057242473809693764078951663494238777294707070023223798882976159207729119823605850588608460429412647567360000000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("933262154439441526816992388562667004907159682643816214685929638952175999932299156089414639761565182862536979208272237582511852109168640000000000000000000000")),
      T(boost::math::tools::convert_from_string<T>("93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000")),
   }};

return factorials[i];
}

template <class T>
inline T unchecked_factorial_imp(unsigned i, const boost::integral_constant<int, 0>&)
{
   BOOST_STATIC_ASSERT(!boost::is_integral<T>::value);
   // factorial<unsigned int>(n) is not implemented
   // because it would overflow integral type T for too small n
   // to be useful. Use instead a floating-point type,
   // and convert to an unsigned type if essential, for example:
   // unsigned int nfac = static_cast<unsigned int>(factorial<double>(n));
   // See factorial documentation for more detail.
#ifdef BOOST_NO_CXX11_THREAD_LOCAL
   unchecked_factorial_initializer<T>::force_instantiate();
#endif
   static const char* const factorial_strings[] = {
         "1",
         "1",
         "2",
         "6",
         "24",
         "120",
         "720",
         "5040",
         "40320",
         "362880",
         "3628800",
         "39916800",
         "479001600",
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      };

static BOOST_MATH_THREAD_LOCAL T factorials[sizeof(factorial_strings) / sizeof(factorial_strings[0])];
      static BOOST_MATH_THREAD_LOCAL int digits = 0;

int current_digits = boost::math::tools::digits<T>();

if(digits != current_digits)
      {
         digits = current_digits;
         for(unsigned k = 0; k < sizeof(factorials) / sizeof(factorials[0]); ++k)
            factorials[k] = static_cast<T>(boost::math::tools::convert_from_string<T>(factorial_strings[k]));
      }

return factorials[i];
}

template <class T>
inline T unchecked_factorial_imp(unsigned i, const boost::integral_constant<int, std::numeric_limits<float>::digits>&)
{
   return unchecked_factorial<float>(i);
}

template <class T>
inline T unchecked_factorial_imp(unsigned i, const boost::integral_constant<int, std::numeric_limits<double>::digits>&)
{
   return unchecked_factorial<double>(i);
}

#if DBL_MANT_DIG != LDBL_MANT_DIG
template <class T>
inline T unchecked_factorial_imp(unsigned i, const boost::integral_constant<int, LDBL_MANT_DIG>&)
{
   return unchecked_factorial<long double>(i);
}
#endif
#ifdef BOOST_MATH_USE_FLOAT128
template <class T>
inline T unchecked_factorial_imp(unsigned i, const boost::integral_constant<int, 113>&)
{
   return unchecked_factorial<BOOST_MATH_FLOAT128_TYPE>(i);
}
#endif

template <class T>
inline T unchecked_factorial(unsigned i)
{
   typedef typename boost::math::policies::precision<T, boost::math::policies::policy<> >::type tag_type;
   return unchecked_factorial_imp<T>(i, tag_type());
}

#ifdef BOOST_MATH_USE_FLOAT128
#define BOOST_MATH_DETAIL_FLOAT128_MAX_FACTORIAL : std::numeric_limits<T>::digits == 113 ? max_factorial<BOOST_MATH_FLOAT128_TYPE>::value
#else
#define BOOST_MATH_DETAIL_FLOAT128_MAX_FACTORIAL
#endif

template <class T>
struct max_factorial
{
   BOOST_STATIC_CONSTANT(unsigned, value = 
      std::numeric_limits<T>::digits == std::numeric_limits<float>::digits ? max_factorial<float>::value 
      : std::numeric_limits<T>::digits == std::numeric_limits<double>::digits ? max_factorial<double>::value 
      : std::numeric_limits<T>::digits == std::numeric_limits<long double>::digits ? max_factorial<long double>::value 
      BOOST_MATH_DETAIL_FLOAT128_MAX_FACTORIAL
      : 100);
};

#undef BOOST_MATH_DETAIL_FLOAT128_MAX_FACTORIAL

#else // BOOST_MATH_NO_LEXICAL_CAST

template <class T>
inline T unchecked_factorial(unsigned i BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(T))
{
   return 1;
}

template <class T>
struct max_factorial
{
   BOOST_STATIC_CONSTANT(unsigned, value = 0);
};

#endif

#ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
template <class T>
const unsigned max_factorial<T>::value;
#endif

} // namespace math
} // namespace boost

#endif // BOOST_MATH_SP_UC_FACTORIALS_HPP

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