diff --git a/include/boost/math/policies/policy.hpp b/include/boost/math/policies/policy.hpp index 49068a6ed..c1d40306c 100644 --- a/include/boost/math/policies/policy.hpp +++ b/include/boost/math/policies/policy.hpp @@ -850,6 +850,11 @@ inline int digits(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) typedef mpl::bool_< std::numeric_limits::is_specialized > tag_type; return detail::digits_imp(tag_type()); } +template +inline int digits_base10(BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(T)) +{ + return boost::math::policies::digits() * 1000L / 301; +} template inline unsigned long get_max_series_iterations() diff --git a/include/boost/math/special_functions/detail/polygamma.hpp b/include/boost/math/special_functions/detail/polygamma.hpp index e86855c36..b8ea81af5 100644 --- a/include/boost/math/special_functions/detail/polygamma.hpp +++ b/include/boost/math/special_functions/detail/polygamma.hpp @@ -23,7 +23,9 @@ #include #include - namespace boost { namespace math { + namespace boost { namespace math { namespace detail{ + +#if 0 template T digamma_atinfinityplus(const int, const T &x, const Policy&) @@ -66,7 +68,7 @@ sum_base_10_exp = T(exponent_value) * 0.303F; long int order_check = boost::math::ltrunc(term_base_10_exp) - boost::math::ltrunc(sum_base_10_exp); - long int tol = std::numeric_limits::digits10; + long int tol = std::numeric_limits::digits_base10; if((two_k > 24) && (order_check < -tol)) @@ -77,6 +79,7 @@ return (log_z - one_over_2z) - sum; } +#endif template T polygamma_atinfinityplus(const int n, const T& x, const Policy& pol) // for large values of x such as for x> 400 @@ -154,9 +157,7 @@ // if(k > policies::get_max_series_iterations()) { - policies::raise_evaluation_error( - "polygamma<%1%>(int, %1%)", - "Series did not converge, closest value was %1%", sum, pol); + policies::raise_evaluation_error("polygamma<%1%>(int, %1%)", "Series did not converge, closest value was %1%", sum, pol); break; } } @@ -174,7 +175,7 @@ // Use N = (0.4 * digits) + (4 * n) for target value for x: BOOST_MATH_STD_USING - const int d4d = static_cast(0.4F * std::numeric_limits::digits10); + const int d4d = static_cast(0.4F * policies::digits_base10()); const int N4dn = static_cast(d4d + (4 * n)); const int N = static_cast((std::min)(N4dn, (std::numeric_limits::max)())); const int m = n; @@ -201,7 +202,7 @@ } template - T polygamma_nearzero(const int n, const T& x, const Policy&) + T polygamma_nearzero(const int n, const T& x, const Policy& pol) { BOOST_MATH_STD_USING // not defined for digamma @@ -224,9 +225,10 @@ bool b_neg_term = ((n % 2) == 0); T sum = ((!b_neg_term) ? pg_kn : -pg_kn); - for(int k = 1; k < max_iteration::value; k++) + for(unsigned k = 1;; k++) { - k_plus_n_fact *= k_plus_n_plus_one++; + k_plus_n_fact *= k_plus_n_plus_one; + k_plus_n_plus_one += 1; one_over_k_fact /= k; z_pow_k *= x; @@ -234,21 +236,7 @@ const T term = (pg * z_pow_k) * one_over_k_fact; - T term_base_10_exp = ((term < 0) ? -term : term); - T sum_base_10_exp = ((sum < 0) ? -sum : sum); - - int exponent_value; - - static_cast(frexp(term_base_10_exp, &exponent_value)); - term_base_10_exp = T(exponent_value) * 0.303F; - - static_cast(frexp(sum_base_10_exp, &exponent_value)); - sum_base_10_exp = T(exponent_value) * 0.303F; - - long int order_check = boost::math::ltrunc(term_base_10_exp) - boost::math::ltrunc(sum_base_10_exp); - long int tol = std::numeric_limits::digits10; - - if((k > 12) && (order_check < -tol)) + if(fabs(term / sum) < tools::epsilon()) { break; } @@ -256,6 +244,12 @@ b_neg_term = !b_neg_term; ((!b_neg_term) ? sum += term : sum -= term); + + if(k > policies::get_max_series_iterations()) + { + policies::raise_evaluation_error("polygamma<%1%>(int, %1%)", "Series did not converge, closest value was %1%", sum, pol); + break; + } } return term0 + sum; @@ -269,7 +263,7 @@ { return polygamma_nearzero(n, x, pol); } - else if(x > 0.4F * std::numeric_limits::digits10 + 4 * n) + else if(x > 0.4F * policies::digits_base10() + 4 * n) { return polygamma_atinfinityplus(n, x, pol); } diff --git a/include/boost/math/special_functions/polygamma.hpp b/include/boost/math/special_functions/polygamma.hpp index b96716721..a122e0b94 100644 --- a/include/boost/math/special_functions/polygamma.hpp +++ b/include/boost/math/special_functions/polygamma.hpp @@ -18,33 +18,57 @@ namespace boost { namespace math { - template - struct promoteftod - { - typedef T type; - }; - - template<> - struct promoteftod - { - typedef double type; - }; - + template - inline T polygamma(const int n, T x, const Policy &pol) + inline typename tools::promote_args::type polygamma(const int n, T x, const Policy &pol) { - typedef typename promoteftod::type result_type; -// std::cout<<"~:"<::type result_type; + // + // The type used for the calculation. This may be a wider type than + // the result in order to ensure full precision: + // + typedef typename policies::evaluation::type value_type; + // + // The type of the policy to forward to the actual implementation. + // We disable promotion of float and double as that's [possibly] + // happened already in the line above. Also reset to the default + // any policies we don't use (reduces code bloat if we're called + // multiple times with differing policies we don't actually use). + // Also normalise the type, again to reduce code bloat in case we're + // called multiple times with functionally identical policies that happen + // to be different types. + // + typedef typename policies::normalise< + Policy, + policies::promote_float, + policies::promote_double, + policies::discrete_quantile<>, + policies::assert_undefined<> >::type forwarding_policy; + // + // Whew. Now we can make the actual call to the implementation. + // Arguments are explicitly cast to the evaluation type, and the result + // passed through checked_narrowing_cast which handles things like overflow + // according to the policy passed: + // + return policies::checked_narrowing_cast( + detail::polygamma_imp(n, static_cast(x), forwarding_policy()), + "boost::math::polygamma<%1%>(int, %1%)"); } template - inline T polygamma(const int n, T x) + inline typename tools::promote_args::type polygamma(const int n, T x) { - return boost::math::polygamma(n,x,policies::policy<>()); + return boost::math::polygamma(n, x, policies::policy<>()); } template diff --git a/test/Jamfile.v2 b/test/Jamfile.v2 index 131943151..6a80cdd8e 100644 --- a/test/Jamfile.v2 +++ b/test/Jamfile.v2 @@ -603,6 +603,7 @@ run test_nc_t.cpp pch ../../test/build//boost_unit_test_framework run test_normal.cpp pch ../../test/build//boost_unit_test_framework ; run test_owens_t.cpp ../../test/build//boost_unit_test_framework ; run test_pareto.cpp ../../test/build//boost_unit_test_framework ; +run test_polygamma.cpp test_instances//test_instances pch_light ../../test/build//boost_unit_test_framework ; run test_poisson.cpp ../../test/build//boost_unit_test_framework : # command line : # input files diff --git a/test/test_polygamma.cpp b/test/test_polygamma.cpp index c42ca6df6..48810d8a1 100644 --- a/test/test_polygamma.cpp +++ b/test/test_polygamma.cpp @@ -5,7 +5,7 @@ #include #include "test_polygamma.hpp" - +//#include void expected_results() { @@ -17,16 +17,30 @@ void expected_results() #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS if(boost::math::policies::digits >() == boost::math::policies::digits >()) { - largest_type = "(long\\s+)?double"; + largest_type = "(long\\s+)?double|real_concept"; } else { - largest_type = "long double"; + largest_type = "long double|real_concept"; } #else - largest_type = "(long\\s+)?double"; + largest_type = "(long\\s+)?double|real_concept"; #endif + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + largest_type, // test type(s) + ".*large arguments", // test data group + ".*", 400, 200); // test function + add_expected_result( + ".*", // compiler + ".*", // stdlib + ".*", // platform + largest_type, // test type(s) + ".*", // test data group + ".*", 20, 10); // test function // // Finish off by printing out the compiler/stdlib/platform names, // we do this to make it easier to mark up expected error rates. @@ -40,11 +54,14 @@ BOOST_AUTO_TEST_CASE( test_main ) expected_results(); BOOST_MATH_CONTROL_FP; - //test_polygamma(0.0F, "float"); + test_polygamma(0.0F, "float"); test_polygamma(0.0, "double"); #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS test_polygamma(0.0L, "long double"); - //test_polygamma(boost::math::concepts::real_concept(0.1), "real_concept"); + test_polygamma(boost::math::concepts::real_concept(0.1), "real_concept"); +#endif +#ifdef BOOST_FLOAT128_C + //test_polygamma(BOOST_FLOAT128_C(0.0), "float128_t"); #endif } diff --git a/test/test_polygamma.hpp b/test/test_polygamma.hpp index fe5433f3e..419ffdea1 100644 --- a/test/test_polygamma.hpp +++ b/test/test_polygamma.hpp @@ -23,7 +23,11 @@ #include "table_type.hpp" #ifndef SC_ +#ifndef BOOST_FLOAT128_C #define SC_(x) static_cast::type>(BOOST_JOIN(x, L)) +#else +#define SC_(x) static_cast::type>(BOOST_FLOAT128_C(x)) +#endif #endif template @@ -114,23 +118,23 @@ void test_polygamma(T, const char* name) {4, SC_(0.1250000), SC_(-786445.98543106378579320120709638297)}, { 4, SC_(2.250000), SC_(-0.51106863793373355822715252195899576) }, { 4, SC_(4.375000), SC_(-0.025241882074562753654505456518792508) }, { 4, SC_(6.500000), SC_(-0.0045259302803220607103496010172883494) }, { 4, SC_(8.625000), SC_(-0.0013596929106556359886012273921730071) }, { 4, SC_(10.75000), SC_(-0.00053930828860547053427689740051604949) }, { 4, SC_(12.87500), SC_(-0.00025445997266103206171225355293726865) }, { 4, SC_(15.00000), SC_(-0.00013519619187519276575068431301221388) }, { 4, SC_(17.12500), SC_(-0.000078306716822025065793290599586946118) }, { 4, SC_(19.25000), SC_(-0.000048430513924395561509999792045098081) }, { 4, SC_(21.37500), SC_(-0.000031536705873201397805285969259914559) }, { 4, SC_(23.50000), SC_(-0.000021407049050977062373311093992814121) }, { 4, SC_(25.62500), SC_(-0.000015036764178343754461565939319516893) }, { 4, SC_(27.75000), SC_(-0.000010869219781124567432001391245344089) }, { 4, SC_(29.87500), SC_(-8.0504604926168752698902834477348881e-6) }, { 4, SC_(32.00000), SC_(-6.0889806370027137702207132674152980e-6) }, { 4, SC_(34.12500), SC_(-4.6901011823268163094417546531023856e-6) }, { 4, SC_(36.25000), SC_(-3.6708283086618325558290000911536581e-6) }, { 4, SC_(38.37500), SC_(-2.9139932244650290336213711603586301e-6) }, { 4, SC_(40.50000), SC_(-2.3425302303691304543510535971847968e-6) }, { 4, SC_(42.62500), SC_(-1.9045296486050512642801504306671373e-6) }, { 4, SC_(44.75000), SC_(-1.5642760453399369047824852836708697e-6) }, { 4, SC_(46.87500), SC_(-1.2967233822729326645555539185332769e-6) }, { 4, SC_(49.00000), SC_(-1.0840030171141394983603065427611252e-6) }, { 4, SC_(51.12500), SC_(-9.1316643010960703020517255319750485e-7) }, { 4, SC_(53.25000), SC_(-7.7469609700462921021995856208285815e-7) }, { 4, SC_(55.37500), SC_(-6.6150474476547305805911346012045165e-7) }, { 4, SC_(57.50000), SC_(-5.6825133351570053043820949353677183e-7) }, { 4, SC_(59.62500), SC_(-4.9086620236193161135912086142572580e-7) }, { 4, SC_(61.75000), SC_(-4.2621666772058776224801114961267801e-7) }, { 4, SC_(63.87500), SC_(-3.7186839586672891333608898041067112e-7) }, { 4, SC_(66.00000), SC_(-3.2591301914111222705427951896642626e-7) }, { 4, SC_(68.12500), SC_(-2.8684217920848561693233665614958777e-7) }, { 4, SC_(70.25000), SC_(-2.5345451083204479337777798526354757e-7) }, { 4, SC_(72.37500), SC_(-2.2478626654835416271537021644553013e-7) }, { 4, SC_(74.50000), SC_(-2.0005909073946645851596541397664333e-7) }, { 4, SC_(76.62500), SC_(-1.7864035957298817513241281766878220e-7) }, { 4, SC_(78.75000), SC_(-1.6001281551287093216803849072235519e-7) }, { 4, SC_(80.87500), SC_(-1.4375113796429048125939526070340983e-7) }, { 4, SC_(83.00000), SC_(-1.2950373350296884735201964028079076e-7) }, { 4, SC_(85.12500), SC_(-1.1697848507486443027254417751822546e-7) }, { 4, SC_(87.25000), SC_(-1.0593152651055065213702117539700727e-7) }, { 4, SC_(89.37500), SC_(-9.6158345290200883062520858433963680e-8) }, { 4, SC_(91.50000), SC_(-8.7486689164653963817234101603388082e-8) }, { 4, SC_(93.62500), SC_(-7.9770879280803145900384972987304463e-8) }, { 4, SC_(95.75000), SC_(-7.2887226653828502529665531368895369e-8) }, { 4, SC_(97.87500), SC_(-6.6730319180606630829991063550458595e-8) }, { 4, SC_(100.0000), SC_(-6.1209999300119967012993094755881001e-8) }, { 9, SC_(0.1250000), SC_(3.8963943320506514766700086867372762e14) }, { 9, SC_(2.250000), SC_(112.10537259293726188704511169205760) }, { 9, SC_(4.375000), SC_(0.16363919906361224458550935569570297) }, { 9, SC_(6.500000), SC_(0.0036236228486465262827554601212241334) }, { 9, SC_(8.625000), SC_(0.00024724827512609608284324030730925865) }, { 9, SC_(10.75000), SC_(0.000031173409615380334086095590039151370) }, { 9, SC_(12.87500), SC_(5.7824557132102074668570643058203530e-6) }, { 9, SC_(15.00000), SC_(1.3980855499116564037825647833211369e-6) }, { 9, SC_(17.12500), SC_(4.1002910484982160273499509487840966e-7) }, { 9, SC_(19.25000), SC_(1.3928434419796988121776758599785632e-7) }, { 9, SC_(21.37500), SC_(5.3108201638858702713365922453188085e-8) }, { 9, SC_(23.50000), SC_(2.2228120959414339842295401083512930e-8) }, { 9, SC_(25.62500), SC_(1.0046019155325212007574589173916857e-8) }, { 9, SC_(27.75000), SC_(4.8421087709589697640039499715706350e-9) }, { 9, SC_(29.87500), SC_(2.4651114661905897591489828702449678e-9) }, { 9, SC_(32.00000), SC_(1.3154897461853304542190391130140025e-9) }, { 9, SC_(34.12500), SC_(7.3134444425276046658844002904667737e-10) }, { 9, SC_(36.25000), SC_(4.2146721224691157996140805304942419e-10) }, { 9, SC_(38.37500), SC_(2.5073387292785072270991813660631786e-10) }, { 9, SC_(40.50000), SC_(1.5344896969374692327054949367251260e-10) }, { 9, SC_(42.62500), SC_(9.6326225603670754883495513330468241e-11) }, { 9, SC_(44.75000), SC_(6.1868579168628392331266656512721531e-11) }, { 9, SC_(46.87500), SC_(4.0570340164556015067828668493424902e-11) }, { 9, SC_(49.00000), SC_(2.7111471879948743580114339016340155e-11) }, { 9, SC_(51.12500), SC_(1.8433178567812423799249519881074934e-11) }, { 9, SC_(53.25000), SC_(1.2733080158190412770374826663936684e-11) }, { 9, SC_(55.37500), SC_(8.9250208887659481803261595053553675e-12) }, { 9, SC_(57.50000), SC_(6.3408264036510339424452353875188095e-12) }, { 9, SC_(59.62500), SC_(4.5615718874164287974321379689375635e-12) }, { 9, SC_(61.75000), SC_(3.3199519699896432328216923633601725e-12) }, { 9, SC_(63.87500), SC_(2.4426063512782352683767956278168985e-12) }, { 9, SC_(66.00000), SC_(1.8153877149006577317987652651306379e-12) }, { 9, SC_(68.12500), SC_(1.3620688165735114474674715908706633e-12) }, { 9, SC_(70.25000), SC_(1.0310696339614726306516051424066462e-12) }, { 9, SC_(72.37500), SC_(7.8705425492600705644491688042239872e-13) }, { 9, SC_(74.50000), SC_(6.0553290145315817804599098427153448e-13) }, { 9, SC_(76.62500), SC_(4.6934676954218461465393390444338856e-13) }, { 9, SC_(78.75000), SC_(3.6634942521175284527379986400237305e-13) }, { 9, SC_(80.87500), SC_(2.8785887689513567008615786864512179e-13) }, { 9, SC_(83.00000), SC_(2.2761232508374172373558791779207099e-13) }, { 9, SC_(85.12500), SC_(1.8105271275784390697733304142062576e-13) }, { 9, SC_(87.25000), SC_(1.4483676610519321733096991924616972e-13) }, { 9, SC_(89.37500), SC_(1.1649247346426341778218700567243322e-13) }, { 9, SC_(91.50000), SC_(9.4178413859615655080323473554582586e-14) }, { 9, SC_(93.62500), SC_(7.6513170761508530170189422972149840e-14) }, { 9, SC_(95.75000), SC_(6.2453415533716351149737976646666822e-14) }, { 9, SC_(97.87500), SC_(5.1206083919072129278059542340974138e-14) }, { 9, SC_(100.0000), SC_(4.2164633350081151607323910418414347e-14) }, - { SC_(12), SC_(0.1250000), SC_(-2.6333391446175784623707514121843937e20) }, { SC_(12), SC_(2.250000), SC_(-12755.934552347367694976392995238872) }, { SC_(12), SC_(4.375000), SC_(-2.3995726885358590731215736760290659) }, { SC_(12), SC_(6.500000), SC_(-0.015498964669830504389631890538267195) }, { SC_(12), SC_(8.625000), SC_(-0.00043875188128348404126256495384460962) }, { SC_(12), SC_(10.75000), SC_(-0.000027944407762544917990491373502083128) }, { SC_(12), SC_(12.87500), SC_(-2.9683309167523389772660608703858297e-6) }, { SC_(12), SC_(15.00000), SC_(-4.4822030612790888239848346241379762e-7) }, { SC_(12), SC_(17.12500), SC_(-8.7479493941258027953346726543995677e-8) }, { SC_(12), SC_(19.25000), SC_(-2.0757514198487629655709801633624060e-8) }, { SC_(12), SC_(21.37500), SC_(-5.7438353740388980670397346200747331e-9) }, { SC_(12), SC_(23.50000), SC_(-1.7993432749405246733914335090978470e-9) }, { SC_(12), SC_(25.62500), SC_(-6.2435444143873592979499739047338207e-10) }, { SC_(12), SC_(27.75000), SC_(-2.3603187097640550778749196581740161e-10) }, { SC_(12), SC_(29.87500), SC_(-9.5975541975412793814120279791068637e-11) }, { SC_(12), SC_(32.00000), SC_(-4.1552035282000578511439617844316334e-11) }, { SC_(12), SC_(34.12500), SC_(-1.8998432787826251814581286958206123e-11) }, { SC_(12), SC_(36.25000), SC_(-9.1125382347537588010833133716666482e-12) }, { SC_(12), SC_(38.37500), SC_(-4.5599501480319696078145812150042737e-12) }, { SC_(12), SC_(40.50000), SC_(-2.3695979124099134723655912747303232e-12) }, { SC_(12), SC_(42.62500), SC_(-1.2737626539048915719376237689570656e-12) }, { SC_(12), SC_(44.75000), SC_(-7.0592220046106837677774762353832582e-13) }, { SC_(12), SC_(46.87500), SC_(-4.0219605264396476495155503895759108e-13) }, { SC_(12), SC_(49.00000), SC_(-2.3499370395545407582624144041709511e-13) }, { SC_(12), SC_(51.12500), SC_(-1.4049959061173089543038862427082956e-13) }, { SC_(12), SC_(53.25000), SC_(-8.5797116983505159074486972598899288e-14) }, { SC_(12), SC_(55.37500), SC_(-5.3422568073471069670219359482696794e-14) }, { SC_(12), SC_(57.50000), SC_(-3.3867985175935679891876577636637264e-14) }, { SC_(12), SC_(59.62500), SC_(-2.1832074877153446073077836903455745e-14) }, { SC_(12), SC_(61.75000), SC_(-1.4293240909063248751348970309438269e-14) }, { SC_(12), SC_(63.87500), SC_(-9.4937480883301538244379833116307891e-15) }, { SC_(12), SC_(66.00000), SC_(-6.3914967852421984438071853365851405e-15) }, { SC_(12), SC_(68.12500), SC_(-4.3576413857619763879519099830883388e-15) }, { SC_(12), SC_(70.25000), SC_(-3.0063897012087057369199810835484853e-15) }, { SC_(12), SC_(72.37500), SC_(-2.0973711510201259912443465435969711e-15) }, { SC_(12), SC_(74.50000), SC_(-1.4786311290892013378232248983192765e-15) }, { SC_(12), SC_(76.62500), SC_(-1.0527885762581410791135439292370286e-15) }, { SC_(12), SC_(78.75000), SC_(-7.5662859409010038912157660753875556e-16) }, { SC_(12), SC_(80.87500), SC_(-5.4861427907366815368388985862444385e-16) }, { SC_(12), SC_(83.00000), SC_(-4.0113795601837316346341436637916290e-16) }, { SC_(12), SC_(85.12500), SC_(-2.9564974628089487210535317533851159e-16) }, { SC_(12), SC_(87.25000), SC_(-2.1955682892705039626630737602169576e-16) }, { SC_(12), SC_(89.37500), SC_(-1.6422644673043790572542870203840550e-16) }, { SC_(12), SC_(91.50000), SC_(-1.2368534305097629421391380808602245e-16) }, { SC_(12), SC_(93.62500), SC_(-9.3763732289494543868014071205929613e-17) }, { SC_(12), SC_(95.75000), SC_(-7.1526151114554258090139227356676697e-17) }, { SC_(12), SC_(97.87500), SC_(-5.4889394969371742548386275256109609e-17) }, { SC_(12), SC_(100.0000), SC_(-4.2363681689608104413899863907775333e-17) }, - { SC_(21), SC_(0.1250000), 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SC_(4.0000000000000000000000000000000000), SC_(4.4611518561919816922776795853710092e14) }, { SC_(31.0), SC_(8.0000000000000000000000000000000000), SC_(106267.95619808419253963903669279065) }, { SC_(31.0), SC_(16.000000000000000000000000000000000), SC_(0.000028318136062027075392587779376335821) }, { SC_(31.0), SC_(32.000000000000000000000000000000000), SC_(9.0814734303237413772295578988209818e-15) } } }; do_test_polygamma(big_data, name, "Mathematica Data - large arguments"); }