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1 | // (C) Copyright John Maddock 2007. |
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 | #define BOOST_MATH_OVERFLOW_ERROR_POLICY ignore_error | |
7 | #include <boost/math/concepts/real_concept.hpp> | |
8 | #define BOOST_TEST_MAIN | |
9 | #include <boost/test/unit_test.hpp> | |
92f5a8d4 | 10 | #include <boost/test/tools/floating_point_comparison.hpp> |
7c673cae FG |
11 | #include <boost/math/special_functions/math_fwd.hpp> |
12 | #include <boost/math/constants/constants.hpp> | |
13 | #include <boost/type_traits/is_floating_point.hpp> | |
14 | #include <boost/array.hpp> | |
15 | #include "functor.hpp" | |
16 | ||
17 | #include "handle_test_result.hpp" | |
18 | #include "table_type.hpp" | |
19 | ||
20 | #ifndef SC_ | |
21 | # define SC_(x) static_cast<typename table_type<T>::type>(BOOST_JOIN(x, L)) | |
22 | #endif | |
23 | ||
24 | template <class Real, class T> | |
25 | void do_test_cyl_neumann_y(const T& data, const char* type_name, const char* test_name) | |
26 | { | |
27 | #if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_Y_FUNCTION_TO_TEST)) | |
28 | typedef Real value_type; | |
29 | ||
30 | typedef value_type (*pg)(value_type, value_type); | |
31 | #ifdef BESSEL_Y_FUNCTION_TO_TEST | |
32 | pg funcp = BESSEL_Y_FUNCTION_TO_TEST; | |
33 | #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) | |
34 | pg funcp = boost::math::cyl_neumann<value_type, value_type>; | |
35 | #else | |
36 | pg funcp = boost::math::cyl_neumann; | |
37 | #endif | |
38 | ||
39 | boost::math::tools::test_result<value_type> result; | |
40 | ||
41 | std::cout << "Testing " << test_name << " with type " << type_name | |
42 | << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; | |
43 | ||
44 | // | |
45 | // test cyl_neumann against data: | |
46 | // | |
47 | result = boost::math::tools::test_hetero<Real>( | |
48 | data, | |
49 | bind_func<Real>(funcp, 0, 1), | |
50 | extract_result<Real>(2)); | |
51 | handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_neumann", test_name); | |
52 | std::cout << std::endl; | |
53 | ||
54 | #endif | |
55 | } | |
56 | ||
57 | template <class T> | |
58 | T cyl_neumann_int_wrapper(T v, T x) | |
59 | { | |
60 | #ifdef BESSEL_YN_FUNCTION_TO_TEST | |
61 | return static_cast<T>(BESSEL_YN_FUNCTION_TO_TEST(boost::math::itrunc(v), x)); | |
62 | #else | |
63 | return static_cast<T>(boost::math::cyl_neumann(boost::math::itrunc(v), x)); | |
64 | #endif | |
65 | } | |
66 | ||
67 | template <class Real, class T> | |
68 | void do_test_cyl_neumann_y_int(const T& data, const char* type_name, const char* test_name) | |
69 | { | |
70 | #if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YN_FUNCTION_TO_TEST)) | |
71 | typedef Real value_type; | |
72 | ||
73 | typedef value_type (*pg)(value_type, value_type); | |
74 | #if defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) | |
75 | pg funcp = cyl_neumann_int_wrapper<value_type>; | |
76 | #else | |
77 | pg funcp = cyl_neumann_int_wrapper; | |
78 | #endif | |
79 | ||
80 | boost::math::tools::test_result<value_type> result; | |
81 | ||
82 | std::cout << "Testing " << test_name << " with type " << type_name | |
83 | << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; | |
84 | ||
85 | // | |
86 | // test cyl_neumann against data: | |
87 | // | |
88 | result = boost::math::tools::test_hetero<Real>( | |
89 | data, | |
90 | bind_func<Real>(funcp, 0, 1), | |
91 | extract_result<Real>(2)); | |
92 | handle_test_result(result, data[result.worst()], result.worst(), type_name, "cyl_neumann (integer orders)", test_name); | |
93 | std::cout << std::endl; | |
94 | #endif | |
95 | } | |
96 | ||
97 | template <class Real, class T> | |
98 | void do_test_sph_neumann_y(const T& data, const char* type_name, const char* test_name) | |
99 | { | |
100 | #if !(defined(ERROR_REPORTING_MODE) && !defined(BESSEL_YS_FUNCTION_TO_TEST)) | |
101 | typedef Real value_type; | |
102 | ||
103 | typedef value_type (*pg)(unsigned, value_type); | |
104 | #ifdef BESSEL_YS_FUNCTION_TO_TEST | |
105 | pg funcp = BESSEL_YS_FUNCTION_TO_TEST; | |
106 | #elif defined(BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS) | |
107 | pg funcp = boost::math::sph_neumann<value_type>; | |
108 | #else | |
109 | pg funcp = boost::math::sph_neumann; | |
110 | #endif | |
111 | ||
112 | boost::math::tools::test_result<value_type> result; | |
113 | ||
114 | std::cout << "Testing " << test_name << " with type " << type_name | |
115 | << "\n~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n"; | |
116 | ||
117 | // | |
118 | // test sph_neumann against data: | |
119 | // | |
120 | result = boost::math::tools::test_hetero<Real>( | |
121 | data, | |
122 | bind_func_int1<Real>(funcp, 0, 1), | |
123 | extract_result<Real>(2)); | |
124 | handle_test_result(result, data[result.worst()], result.worst(), type_name, "sph_neumann", test_name); | |
125 | std::cout << std::endl; | |
126 | #endif | |
127 | } | |
128 | ||
129 | template <class T> | |
130 | void test_bessel(T, const char* name) | |
131 | { | |
132 | // | |
133 | // The actual test data is rather verbose, so it's in a separate file | |
134 | // | |
135 | // The contents are as follows, each row of data contains | |
136 | // three items, input value a, input value b and erf(a, b): | |
137 | // | |
138 | // function values calculated on http://functions.wolfram.com/ | |
1e59de90 | 139 | static const std::array<std::array<typename table_type<T>::type, 3>, 9> y0_data = {{ |
7c673cae FG |
140 | {{ SC_(0.0), SC_(1.0), SC_(0.0882569642156769579829267660235151628278175230906755467110438) }}, |
141 | {{ SC_(0.0), SC_(2.0), SC_(0.510375672649745119596606592727157873268139227085846135571839) }}, | |
142 | {{ SC_(0.0), SC_(4.0), SC_(-0.0169407393250649919036351344471532182404925898980149027169321) }}, | |
143 | {{ SC_(0.0), SC_(8.0), SC_(0.223521489387566220527323400498620359274814930781423577578334) }}, | |
144 | {{ SC_(0.0), SC_(1e-05), SC_(-7.40316028370197013259676050746759072070960287586102867247159) }}, | |
145 | {{ SC_(0.0), SC_(1e-10), SC_(-14.7325162726972420426916696426209144888762342592762415255386) }}, | |
146 | {{ SC_(0.0), SC_(1e-20), SC_(-29.3912282502857968601858410375186700783698345615477536431464) }}, | |
147 | {{ SC_(0.0), SC_(1e+03), SC_(0.00471591797762281339977326146566525500985900489680197718528000) }}, | |
148 | {{ SC_(0.0), SC_(1e+05), SC_(0.00184676615886506410434074102431546125884886798090392516843524) }} | |
149 | }}; | |
1e59de90 | 150 | static const std::array<std::array<typename table_type<T>::type, 3>, 9> y1_data = {{ |
7c673cae FG |
151 | {{ SC_(1.0), SC_(1.0), SC_(-0.781212821300288716547150000047964820549906390716444607843833) }}, |
152 | {{ SC_(1.0), SC_(2.0), SC_(-0.107032431540937546888370772277476636687480898235053860525795) }}, | |
153 | {{ SC_(1.0), SC_(4.0), SC_(0.397925710557100005253979972450791852271189181622908340876586) }}, | |
154 | {{ SC_(1.0), SC_(8.0), SC_(-0.158060461731247494255555266187483550327344049526705737651263) }}, | |
155 | {{ SC_(1.0), SC_(1e-10), SC_(-6.36619772367581343150789184284462611709080831190542841855708e9) }}, | |
156 | {{ SC_(1.0), SC_(1e-20), SC_(-6.36619772367581343075535053490057448139324059868649274367256e19) }}, | |
157 | {{ SC_(1.0), SC_(1e+01), SC_(0.249015424206953883923283474663222803260416543069658461246944) }}, | |
158 | {{ SC_(1.0), SC_(1e+03), SC_(-0.0247843312923517789148623560971412909386318548648705287583490) }}, | |
159 | {{ SC_(1.0), SC_(1e+05), SC_(0.00171921035008825630099494523539897102954509504993494957572726) }} | |
160 | }}; | |
1e59de90 | 161 | static const std::array<std::array<typename table_type<T>::type, 3>, 10> yn_data = {{ |
7c673cae FG |
162 | {{ SC_(2.0), SC_(1e-20), SC_(-1.27323954473516268615107010698011489627570899691226996904849e40) }}, |
163 | {{ SC_(5.0), SC_(10.0), SC_(0.135403047689362303197029014762241709088405766746419538495983) }}, | |
164 | {{ SC_(-5.0), SC_(1e+06), SC_(0.000331052088322609048503535570014688967096938338061796192422114) }}, | |
165 | {{ SC_(10.0), SC_(10.0), SC_(-0.359814152183402722051986577343560609358382147846904467526222) }}, | |
166 | {{ SC_(10.0), SC_(1e-10), SC_(-1.18280490494334933900960937719565669877576135140014365217993e108) }}, | |
167 | {{ SC_(-10.0), SC_(1e+06), SC_(0.000725951969295187086245251366365393653610914686201194434805730) }}, | |
168 | {{ SC_(1e+02), SC_(5.0), SC_(-5.08486391602022287993091563093082035595081274976837280338134e115) }}, | |
169 | {{ SC_(1e+03), SC_(1e+05), SC_(0.00217254919137684037092834146629212647764581965821326561261181) }}, | |
170 | {{ SC_(-1e+03), SC_(7e+02), SC_(-1.88753109980945889960843803284345261796244752396992106755091e77) }}, | |
171 | {{ SC_(-25.0), SC_(8.0), SC_(3.45113613777297661997458045843868931827873456761831907587263e8) }} | |
172 | }}; | |
1e59de90 | 173 | static const std::array<std::array<typename table_type<T>::type, 3>, 11> yv_data = {{ |
7c673cae FG |
174 | //SC_(2.25), {{ SC_(1.0) / 1024, SC_(-1.01759203636941035147948317764932151601257765988969544340275e7) }}, |
175 | {{ SC_(0.5), SC_(9.5367431640625e-7) /* 1/(1024*1024)*/, SC_(-817.033790261762580469303126467917092806755460418223776544122) }}, | |
176 | {{ SC_(5.5), SC_(3.125), SC_(-2.61489440328417468776474188539366752698192046890955453259866) }}, | |
177 | {{ SC_(-5.5), SC_(3.125), SC_(-0.0274994493896489729948109971802244976377957234563871795364056) }}, | |
178 | {{ SC_(-5.5), SC_(1e+04), SC_(-0.00759343502722670361395585198154817047185480147294665270646578) }}, | |
179 | {{ SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(0.0009765625) /*1/1024*/, SC_(-1.50382374389531766117868938966858995093408410498915220070230e38) }}, | |
180 | {{ SC_(-10.0002994537353515625) /* -10486074 / (1024*1024)*/, SC_(1e+02), SC_(0.0583041891319026009955779707640455341990844522293730214223545) }}, | |
181 | {{ SC_(141.75), SC_(1e+02), SC_(-5.38829231428696507293191118661269920130838607482708483122068e9) }}, | |
182 | {{ SC_(141.75), SC_(2e+04), SC_(-0.00376577888677186194728129112270988602876597726657372330194186) }}, | |
183 | {{ SC_(-141.75), SC_(1e+02), SC_(-3.81009803444766877495905954105669819951653361036342457919021e9) }}, | |
184 | {{ SC_(8.5), SC_(12.56637061435917295385057353311801153678867759750042328389) /*4Pi*/, SC_(0.257086543428224355151772807588810984369026142375675714560864) }}, | |
185 | {{ SC_(-8.5), SC_(12.56637061435917295385057353311801153678867759750042328389) /*4Pi*/, SC_(0.0436807946352780974532519564114026730332781693877984686758680) }}, | |
186 | }}; | |
1e59de90 | 187 | static const std::array<std::array<typename table_type<T>::type, 3>, 7> yv_large_data = {{ |
7c673cae FG |
188 | // Bug report https://svn.boost.org/trac/boost/ticket/5560: |
189 | {{ SC_(0.5), SC_(1.24589936888719594193883785188809317368782599380894e-206) /*static_cast<T>(std::ldexp(0.5, -683))*/, SC_(-7.14823099969225685526188875418476476336424046896822867989728e102) }}, | |
190 | {{ SC_(-0.5), SC_(1.24589936888719594193883785188809317368782599380894e-206) /*static_cast<T>(std::ldexp(0.5, -683))*/, SC_(8.90597649117647254543282704099383321071493400182381039079219e-104) }}, | |
191 | {{ SC_(0.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-23.4611779112897561252987257324561640034037313549011724328997) }}, | |
192 | {{ SC_(1.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-5.73416113922265864550047623401604244038331542638719289100990e15) }}, | |
193 | {{ SC_(2.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-1.03297463879542177245046832533417970379386617249046560049244e32) }}, | |
194 | {{ SC_(3.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-3.72168335868978735639260528876490232745489151562358712422544e48) }}, | |
195 | {{ SC_(10.0), SC_(1.1102230246251565404236316680908203125e-16) /*static_cast<T>(std::ldexp(1.0, -53))*/, SC_(-4.15729476804920974669173904282420477878640623992500096231384e167) }}, | |
196 | }}; | |
197 | ||
198 | do_test_cyl_neumann_y<T>(y0_data, name, "Y0: Mathworld Data"); | |
199 | do_test_cyl_neumann_y<T>(y1_data, name, "Y1: Mathworld Data"); | |
200 | do_test_cyl_neumann_y<T>(yn_data, name, "Yn: Mathworld Data"); | |
201 | do_test_cyl_neumann_y_int<T>(y0_data, name, "Y0: Mathworld Data (Integer Version)"); | |
202 | do_test_cyl_neumann_y_int<T>(y1_data, name, "Y1: Mathworld Data (Integer Version)"); | |
203 | do_test_cyl_neumann_y_int<T>(yn_data, name, "Yn: Mathworld Data (Integer Version)"); | |
204 | do_test_cyl_neumann_y<T>(yv_data, name, "Yv: Mathworld Data"); | |
205 | if(static_cast<T>(yv_large_data[0][1]) != 0) | |
206 | do_test_cyl_neumann_y<T>(yv_large_data, name, "Yv: Mathworld Data (large values)"); | |
207 | ||
208 | #include "bessel_y01_data.ipp" | |
209 | do_test_cyl_neumann_y<T>(bessel_y01_data, name, "Y0 and Y1: Random Data"); | |
210 | #include "bessel_yn_data.ipp" | |
211 | do_test_cyl_neumann_y<T>(bessel_yn_data, name, "Yn: Random Data"); | |
212 | #include "bessel_yv_data.ipp" | |
213 | do_test_cyl_neumann_y<T>(bessel_yv_data, name, "Yv: Random Data"); | |
214 | ||
215 | #include "sph_neumann_data.ipp" | |
216 | do_test_sph_neumann_y<T>(sph_neumann_data, name, "y: Random Data"); | |
217 | } | |
218 |