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1 | // Copyright John Maddock 2015. |
2 | // Use, modification and distribution are subject to the | |
3 | // Boost Software License, Version 1.0. (See accompanying file | |
4 | // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) | |
5 | ||
6 | #ifdef _MSC_VER | |
7 | # pragma warning (disable : 4224) | |
8 | #endif | |
9 | ||
10 | #include <boost/math/special_functions/jacobi_elliptic.hpp> | |
11 | #include <boost/array.hpp> | |
12 | #include <boost/lexical_cast.hpp> | |
13 | #include "../../test/table_type.hpp" | |
14 | #include "table_helper.hpp" | |
15 | #include "performance.hpp" | |
16 | #include <iostream> | |
17 | ||
18 | typedef double T; | |
19 | #define SC_(x) static_cast<double>(x) | |
1e59de90 | 20 | static const std::array<std::array<T, 5>, 36> data1 = {{ |
7c673cae FG |
21 | {{ SC_(0.0), SC_(0.0), SC_(0.0), SC_(1.0), SC_(1.0) }}, |
22 | {{ ldexp(T(1), -25), ldexp(T(1), -25), SC_(2.98023223876953080883700663838486782870427050521881839342311e-8), SC_(0.99999999999999955591079014993741669975171697261290223678373), SC_(0.99999999999999999999999999999960556954738949421406900774443) }}, | |
23 | {{ -ldexp(T(1), -25), ldexp(T(1), -25), SC_(-2.98023223876953080883700663838486782870427050521881839342311e-8), SC_(0.99999999999999955591079014993741669975171697261290223678373), SC_(0.99999999999999999999999999999960556954738949421406900774443) }}, | |
24 | {{ SC_(0.25), ldexp(T(1), -25), SC_(0.247403959254522927383635623557663763268693729825996390997241), SC_(0.968912421710644784709721529742747886950140086772629513814665), SC_(0.99999999999999997281786831901333837240938011109848356555885) }}, | |
25 | {{ SC_(-0.25), ldexp(T(1), -25), SC_(-0.247403959254522927383635623557663763268693729825996390997241), SC_(0.968912421710644784709721529742747886950140086772629513814665), SC_(0.99999999999999997281786831901333837240938011109848356555885) }}, | |
26 | {{ SC_(1.25), ldexp(T(1), -25), SC_(0.948984619355586147780156037971989352776684194861616269831136), SC_(0.315322362395268865789580233344649598639316847638615703458263), SC_(0.99999999999999960006577747263860127231780811081154547949983) }}, | |
27 | {{ SC_(-1.25), ldexp(T(1), -25), SC_(-0.948984619355586147780156037971989352776684194861616269831136), SC_(0.315322362395268865789580233344649598639316847638615703458263), SC_(0.99999999999999960006577747263860127231780811081154547949983) }}, | |
28 | {{ SC_(25.0), ldexp(T(1), -25), SC_(-0.132351750097778560056127137329035522219365438979106560464704), SC_(0.991202811863472859528158119981178957382802975691690722810123), SC_(0.99999999999999999222089563757583834413059580275315226870704) }}, | |
29 | {{ SC_(-25.0), ldexp(T(1), -25), SC_(0.132351750097778560056127137329035522219365438979106560464704), SC_(0.991202811863472859528158119981178957382802975691690722810123), SC_(0.99999999999999999222089563757583834413059580275315226870704) }}, | |
30 | {{ ldexp(T(1), -25), SC_(0.5), SC_(2.98023223876953058825550995757802173334628440851964836958219e-8), SC_(0.99999999999999955591079014993744956895610118130967536624417), SC_(0.99999999999999988897769753748438088116649141278818704012037) }}, | |
31 | {{ -ldexp(T(1), -25), SC_(0.5), SC_(-2.98023223876953058825550995757802173334628440851964836958219e-8), SC_(0.99999999999999955591079014993744956895610118130967536624417), SC_(0.99999999999999988897769753748438088116649141278818704012037) }}, | |
32 | {{ SC_(0.25), SC_(0.5), SC_(0.246781405136141600483623741101255389743847413013817188632739), SC_(0.969071172865559727608777289021929824625726812182428398055476), SC_(0.992358168465276394946615469032829292963938826683866720698130) }}, | |
33 | {{ SC_(-0.25), SC_(0.5), SC_(-0.246781405136141600483623741101255389743847413013817188632739), SC_(0.969071172865559727608777289021929824625726812182428398055476), SC_(0.992358168465276394946615469032829292963938826683866720698130) }}, | |
34 | {{ SC_(1.25), SC_(0.5), SC_(0.928561236426319775700204388269999130782711902203415239399579), SC_(0.371179242693370810357222594552131893184749696381729988511999), SC_(0.885688154799196841458565445994481097477880319663264816077719) }}, | |
35 | {{ SC_(-1.25), SC_(0.5), SC_(-0.928561236426319775700204388269999130782711902203415239399579), SC_(0.371179242693370810357222594552131893184749696381729988511999), SC_(0.885688154799196841458565445994481097477880319663264816077719) }}, | |
36 | {{ SC_(25.0), SC_(0.5), SC_(-0.969223071486651608400225080456020493867827336842041561445359), SC_(-0.246184154035106463351874891855925292474628176040625311168501), SC_(0.874729477852721764836147376110255133761608728373832418508248) }}, | |
37 | {{ SC_(-25.0), SC_(0.5), SC_(0.969223071486651608400225080456020493867827336842041561445359), SC_(-0.246184154035106463351874891855925292474628176040625311168501), SC_(0.874729477852721764836147376110255133761608728373832418508248) }}, | |
38 | {{ ldexp(T(1), -25), 1 - ldexp(T(1), -9), SC_(2.98023223876953036939562331632512854347569015560128614888589e-8), SC_(0.99999999999999955591079014993754766348947956082687878223721), SC_(0.99999999999999955764381956001984590118394542979655101564079) }}, | |
39 | {{ -ldexp(T(1), -25), 1 - ldexp(T(1), -9), SC_(-2.98023223876953036939562331632512854347569015560128614888589e-8), SC_(0.99999999999999955591079014993754766348947956082687878223721), SC_(0.99999999999999955764381956001984590118394542979655101564079) }}, | |
40 | {{ SC_(0.25), 1 - ldexp(T(1), -9), SC_(0.244928335616519632082236089277654937383208524525331032303082), SC_(0.969541185516180906431546524888118346090913555188425579774305), SC_(0.969661908643964623248878987955178702010392829596222190545649) }}, | |
41 | {{ SC_(-0.25), 1 - ldexp(T(1), -9), SC_(-0.244928335616519632082236089277654937383208524525331032303082), SC_(0.969541185516180906431546524888118346090913555188425579774305), SC_(0.969661908643964623248878987955178702010392829596222190545649) }}, | |
42 | {{ SC_(1.25), 1 - ldexp(T(1), -9), SC_(0.848768940045053312079390719205939167551169094157365783446523), SC_(0.528763923140371497228677918580246099580380684604621321430057), SC_(0.531415689278260818860813380561526095359692710060403584603095) }}, | |
43 | {{ SC_(-1.25), 1 - ldexp(T(1), -9), SC_(-0.848768940045053312079390719205939167551169094157365783446523), SC_(0.528763923140371497228677918580246099580380684604621321430057), SC_(0.531415689278260818860813380561526095359692710060403584603095) }}, | |
44 | {{ SC_(25.0), 1 - ldexp(T(1), -9), SC_(-0.0252326124525503880903568715488227138184083895871544015366337), SC_(-0.999681606947341709011836635135181960590782564534371631099332), SC_(0.999682849652724146508471774051629114156076052044812654903417) }}, | |
45 | {{ SC_(-25.0), 1 - ldexp(T(1), -9), SC_(0.0252326124525503880903568715488227138184083895871544015366337), SC_(-0.999681606947341709011836635135181960590782564534371631099332), SC_(0.999682849652724146508471774051629114156076052044812654903417) }}, | |
46 | ||
47 | // Try modulus > 1 | |
48 | {{ ldexp(T(1), -25), SC_(1.5), SC_(2.98023223876952981622027157475276613133414644789222481971590e-8), SC_(0.999999999999999555910790149937712522591174851747994454928040), SC_(0.999999999999999000799277837359575841918151654603571877092161) }}, | |
49 | {{ -ldexp(T(1), -25), SC_(1.5), SC_(-2.98023223876952981622027157475276613133414644789222481971590e-8), SC_(0.999999999999999555910790149937712522591174851747994454928040), SC_(0.999999999999999000799277837359575841918151654603571877092161) }}, | |
50 | {{ SC_(0.25), SC_(1.5), SC_(0.241830488135945315134822478837394038661484435596992059686086), SC_(0.970318512143270619246031961334217540099946232418710982266812), SC_(0.931888155181641649031244632258710371461078255228024421800363) }}, | |
51 | {{ SC_(-0.25), SC_(1.5), SC_(-0.241830488135945315134822478837394038661484435596992059686086), SC_(0.970318512143270619246031961334217540099946232418710982266812), SC_(0.931888155181641649031244632258710371461078255228024421800363) }}, | |
52 | {{ SC_(1.25), SC_(1.5), SC_(0.665875890711922169121186264316618499018039094009893317545462), SC_(0.746062529663971452521312655373498959968622875614588791642250), SC_(-0.0486921028438866868299166778939466685768843580182675008164949) }}, | |
53 | {{ SC_(-1.25), SC_(1.5), SC_(-0.665875890711922169121186264316618499018039094009893317545462), SC_(0.746062529663971452521312655373498959968622875614588791642250), SC_(-0.0486921028438866868299166778939466685768843580182675008164949) }}, | |
54 | {{ SC_(25.0), SC_(1.5), SC_(0.618665338981368217712277210270169521641154921220796362724248), SC_(0.785654630447163313102421517325310755764805805534154371583941), SC_(0.372585153048138377269609818284480926623056458773704266654150) }}, | |
55 | {{ SC_(-25.0), SC_(1.5), SC_(-0.618665338981368217712277210270169521641154921220796362724248), SC_(0.785654630447163313102421517325310755764805805534154371583941), SC_(0.372585153048138377269609818284480926623056458773704266654150) }}, | |
56 | ||
57 | // Special Values: | |
58 | {{ SC_(0.0), SC_(0.5), SC_(0.0), SC_(1.0), SC_(1.0) }}, | |
59 | {{ SC_(5.0), SC_(0.0), SC_(-0.958924274663138468893154406155993973352461543964601778131672), SC_(0.283662185463226264466639171513557308334422592252215944930359), SC_(1.0) }}, | |
60 | {{ SC_(5.0), SC_(1.0), SC_(0.999909204262595131210990447534473021089812615990547862736429), SC_(0.0134752822213045573055191382448821552908373539417006868332819), SC_(0.0134752822213045573055191382448821552908373539417006868332819) }}, | |
61 | }}; | |
62 | ||
63 | ||
64 | int main() | |
65 | { | |
66 | #include "jacobi_elliptic.ipp" | |
67 | #include "jacobi_elliptic_small.ipp" | |
68 | #include "jacobi_near_1.ipp" | |
69 | #include "jacobi_large_phi.ipp" | |
70 | ||
71 | add_data(data1); | |
72 | add_data(jacobi_elliptic); | |
73 | add_data(jacobi_elliptic_small); | |
74 | add_data(jacobi_near_1); | |
75 | add_data(jacobi_large_phi); | |
76 | ||
77 | unsigned data_total = data.size(); | |
78 | ||
79 | ||
80 | std::cout << "Screening Boost data:\n"; | |
81 | screen_data([](const std::vector<double>& v){ return boost::math::jacobi_dn(v[1], v[0]); }, [](const std::vector<double>& v){ return v[4]; }); | |
82 | ||
83 | ||
84 | #if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES) | |
85 | std::cout << "Screening GSL data:\n"; | |
86 | screen_data([](const std::vector<double>& v) | |
87 | { | |
88 | double s, c, d; | |
89 | gsl_sf_elljac_e(v[0], v[1] * v[1], &s, &c, &d); | |
90 | return d; | |
91 | }, [](const std::vector<double>& v){ return v[4]; }); | |
92 | #endif | |
93 | ||
94 | unsigned data_used = data.size(); | |
95 | std::string function = "jacobi_dn[br](" + boost::lexical_cast<std::string>(data_used) + "/" + boost::lexical_cast<std::string>(data_total) + " tests selected)"; | |
96 | std::string function_short = "jacobi_dn"; | |
97 | ||
98 | double time; | |
99 | ||
100 | time = exec_timed_test([](const std::vector<double>& v){ return boost::math::jacobi_dn(v[1], v[2]); }); | |
101 | std::cout << time << std::endl; | |
102 | #if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH)) | |
103 | report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name()); | |
104 | #endif | |
105 | report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name()); | |
106 | // | |
107 | // Boost again, but with promotion to long double turned off: | |
108 | // | |
109 | #if !defined(COMPILER_COMPARISON_TABLES) | |
110 | if(sizeof(long double) != sizeof(double)) | |
111 | { | |
112 | time = exec_timed_test([](const std::vector<double>& v){ return boost::math::jacobi_dn(v[1], v[0], boost::math::policies::make_policy(boost::math::policies::promote_double<false>())); }); | |
113 | std::cout << time << std::endl; | |
114 | #if !defined(COMPILER_COMPARISON_TABLES) && (defined(TEST_GSL) || defined(TEST_RMATH)) | |
115 | report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, boost_name() + "[br]promote_double<false>"); | |
116 | #endif | |
117 | report_execution_time(time, std::string("Compiler Comparison on ") + std::string(platform_name()), function_short, compiler_name() + std::string("[br]") + boost_name() + "[br]promote_double<false>"); | |
118 | } | |
119 | #endif | |
120 | ||
121 | ||
122 | #if defined(TEST_GSL) && !defined(COMPILER_COMPARISON_TABLES) | |
123 | time = exec_timed_test([](const std::vector<double>& v) | |
124 | { | |
125 | double s, c, d; | |
126 | gsl_sf_elljac_e(v[0], v[1] * v[1], &s, &c, &d); | |
127 | return d; | |
128 | }); | |
129 | std::cout << time << std::endl; | |
130 | report_execution_time(time, std::string("Library Comparison with ") + std::string(compiler_name()) + std::string(" on ") + platform_name(), function, "GSL " GSL_VERSION); | |
131 | #endif | |
132 | ||
133 | return 0; | |
134 | } | |
135 |