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1 | // math_fwd.hpp |
2 | ||
3 | // TODO revise completely for new distribution classes. | |
4 | ||
5 | // Copyright Paul A. Bristow 2006. | |
6 | // Copyright John Maddock 2006. | |
7 | ||
8 | // Use, modification and distribution are subject to the | |
9 | // Boost Software License, Version 1.0. | |
10 | // (See accompanying file LICENSE_1_0.txt | |
11 | // or copy at http://www.boost.org/LICENSE_1_0.txt) | |
12 | ||
13 | // Omnibus list of forward declarations of math special functions. | |
14 | ||
15 | // IT = Integer type. | |
16 | // RT = Real type (built-in floating-point types, float, double, long double) & User Defined Types | |
17 | // AT = Integer or Real type | |
18 | ||
19 | #ifndef BOOST_MATH_SPECIAL_MATH_FWD_HPP | |
20 | #define BOOST_MATH_SPECIAL_MATH_FWD_HPP | |
21 | ||
22 | #ifdef _MSC_VER | |
23 | #pragma once | |
24 | #endif | |
25 | ||
b32b8144 | 26 | #include <vector> |
7c673cae FG |
27 | #include <boost/math/special_functions/detail/round_fwd.hpp> |
28 | #include <boost/math/tools/promotion.hpp> // for argument promotion. | |
29 | #include <boost/math/policies/policy.hpp> | |
30 | #include <boost/mpl/comparison.hpp> | |
31 | #include <boost/utility/enable_if.hpp> | |
32 | #include <boost/config/no_tr1/complex.hpp> | |
33 | ||
34 | #define BOOST_NO_MACRO_EXPAND /**/ | |
35 | ||
36 | namespace boost | |
37 | { | |
38 | namespace math | |
39 | { // Math functions (in roughly alphabetic order). | |
40 | ||
41 | // Beta functions. | |
42 | template <class RT1, class RT2> | |
43 | typename tools::promote_args<RT1, RT2>::type | |
44 | beta(RT1 a, RT2 b); // Beta function (2 arguments). | |
45 | ||
46 | template <class RT1, class RT2, class A> | |
47 | typename tools::promote_args<RT1, RT2, A>::type | |
48 | beta(RT1 a, RT2 b, A x); // Beta function (3 arguments). | |
49 | ||
50 | template <class RT1, class RT2, class RT3, class Policy> | |
51 | typename tools::promote_args<RT1, RT2, RT3>::type | |
52 | beta(RT1 a, RT2 b, RT3 x, const Policy& pol); // Beta function (3 arguments). | |
53 | ||
54 | template <class RT1, class RT2, class RT3> | |
55 | typename tools::promote_args<RT1, RT2, RT3>::type | |
56 | betac(RT1 a, RT2 b, RT3 x); | |
57 | ||
58 | template <class RT1, class RT2, class RT3, class Policy> | |
59 | typename tools::promote_args<RT1, RT2, RT3>::type | |
60 | betac(RT1 a, RT2 b, RT3 x, const Policy& pol); | |
61 | ||
62 | template <class RT1, class RT2, class RT3> | |
63 | typename tools::promote_args<RT1, RT2, RT3>::type | |
64 | ibeta(RT1 a, RT2 b, RT3 x); // Incomplete beta function. | |
65 | ||
66 | template <class RT1, class RT2, class RT3, class Policy> | |
67 | typename tools::promote_args<RT1, RT2, RT3>::type | |
68 | ibeta(RT1 a, RT2 b, RT3 x, const Policy& pol); // Incomplete beta function. | |
69 | ||
70 | template <class RT1, class RT2, class RT3> | |
71 | typename tools::promote_args<RT1, RT2, RT3>::type | |
72 | ibetac(RT1 a, RT2 b, RT3 x); // Incomplete beta complement function. | |
73 | ||
74 | template <class RT1, class RT2, class RT3, class Policy> | |
75 | typename tools::promote_args<RT1, RT2, RT3>::type | |
76 | ibetac(RT1 a, RT2 b, RT3 x, const Policy& pol); // Incomplete beta complement function. | |
77 | ||
78 | template <class T1, class T2, class T3, class T4> | |
79 | typename tools::promote_args<T1, T2, T3, T4>::type | |
80 | ibeta_inv(T1 a, T2 b, T3 p, T4* py); | |
81 | ||
82 | template <class T1, class T2, class T3, class T4, class Policy> | |
83 | typename tools::promote_args<T1, T2, T3, T4>::type | |
84 | ibeta_inv(T1 a, T2 b, T3 p, T4* py, const Policy& pol); | |
85 | ||
86 | template <class RT1, class RT2, class RT3> | |
87 | typename tools::promote_args<RT1, RT2, RT3>::type | |
88 | ibeta_inv(RT1 a, RT2 b, RT3 p); // Incomplete beta inverse function. | |
89 | ||
90 | template <class RT1, class RT2, class RT3, class Policy> | |
91 | typename tools::promote_args<RT1, RT2, RT3>::type | |
92 | ibeta_inv(RT1 a, RT2 b, RT3 p, const Policy&); // Incomplete beta inverse function. | |
93 | ||
94 | template <class RT1, class RT2, class RT3> | |
95 | typename tools::promote_args<RT1, RT2, RT3>::type | |
96 | ibeta_inva(RT1 a, RT2 b, RT3 p); // Incomplete beta inverse function. | |
97 | ||
98 | template <class RT1, class RT2, class RT3, class Policy> | |
99 | typename tools::promote_args<RT1, RT2, RT3>::type | |
100 | ibeta_inva(RT1 a, RT2 b, RT3 p, const Policy&); // Incomplete beta inverse function. | |
101 | ||
102 | template <class RT1, class RT2, class RT3> | |
103 | typename tools::promote_args<RT1, RT2, RT3>::type | |
104 | ibeta_invb(RT1 a, RT2 b, RT3 p); // Incomplete beta inverse function. | |
105 | ||
106 | template <class RT1, class RT2, class RT3, class Policy> | |
107 | typename tools::promote_args<RT1, RT2, RT3>::type | |
108 | ibeta_invb(RT1 a, RT2 b, RT3 p, const Policy&); // Incomplete beta inverse function. | |
109 | ||
110 | template <class T1, class T2, class T3, class T4> | |
111 | typename tools::promote_args<T1, T2, T3, T4>::type | |
112 | ibetac_inv(T1 a, T2 b, T3 q, T4* py); | |
113 | ||
114 | template <class T1, class T2, class T3, class T4, class Policy> | |
115 | typename tools::promote_args<T1, T2, T3, T4>::type | |
116 | ibetac_inv(T1 a, T2 b, T3 q, T4* py, const Policy& pol); | |
117 | ||
118 | template <class RT1, class RT2, class RT3> | |
119 | typename tools::promote_args<RT1, RT2, RT3>::type | |
120 | ibetac_inv(RT1 a, RT2 b, RT3 q); // Incomplete beta complement inverse function. | |
121 | ||
122 | template <class RT1, class RT2, class RT3, class Policy> | |
123 | typename tools::promote_args<RT1, RT2, RT3>::type | |
124 | ibetac_inv(RT1 a, RT2 b, RT3 q, const Policy&); // Incomplete beta complement inverse function. | |
125 | ||
126 | template <class RT1, class RT2, class RT3> | |
127 | typename tools::promote_args<RT1, RT2, RT3>::type | |
128 | ibetac_inva(RT1 a, RT2 b, RT3 q); // Incomplete beta complement inverse function. | |
129 | ||
130 | template <class RT1, class RT2, class RT3, class Policy> | |
131 | typename tools::promote_args<RT1, RT2, RT3>::type | |
132 | ibetac_inva(RT1 a, RT2 b, RT3 q, const Policy&); // Incomplete beta complement inverse function. | |
133 | ||
134 | template <class RT1, class RT2, class RT3> | |
135 | typename tools::promote_args<RT1, RT2, RT3>::type | |
136 | ibetac_invb(RT1 a, RT2 b, RT3 q); // Incomplete beta complement inverse function. | |
137 | ||
138 | template <class RT1, class RT2, class RT3, class Policy> | |
139 | typename tools::promote_args<RT1, RT2, RT3>::type | |
140 | ibetac_invb(RT1 a, RT2 b, RT3 q, const Policy&); // Incomplete beta complement inverse function. | |
141 | ||
142 | template <class RT1, class RT2, class RT3> | |
143 | typename tools::promote_args<RT1, RT2, RT3>::type | |
144 | ibeta_derivative(RT1 a, RT2 b, RT3 x); // derivative of incomplete beta | |
145 | ||
146 | template <class RT1, class RT2, class RT3, class Policy> | |
147 | typename tools::promote_args<RT1, RT2, RT3>::type | |
148 | ibeta_derivative(RT1 a, RT2 b, RT3 x, const Policy& pol); // derivative of incomplete beta | |
149 | ||
150 | // Binomial: | |
151 | template <class T, class Policy> | |
152 | T binomial_coefficient(unsigned n, unsigned k, const Policy& pol); | |
153 | template <class T> | |
154 | T binomial_coefficient(unsigned n, unsigned k); | |
155 | ||
156 | // erf & erfc error functions. | |
157 | template <class RT> // Error function. | |
158 | typename tools::promote_args<RT>::type erf(RT z); | |
159 | template <class RT, class Policy> // Error function. | |
160 | typename tools::promote_args<RT>::type erf(RT z, const Policy&); | |
161 | ||
162 | template <class RT>// Error function complement. | |
163 | typename tools::promote_args<RT>::type erfc(RT z); | |
164 | template <class RT, class Policy>// Error function complement. | |
165 | typename tools::promote_args<RT>::type erfc(RT z, const Policy&); | |
166 | ||
167 | template <class RT>// Error function inverse. | |
168 | typename tools::promote_args<RT>::type erf_inv(RT z); | |
169 | template <class RT, class Policy>// Error function inverse. | |
170 | typename tools::promote_args<RT>::type erf_inv(RT z, const Policy& pol); | |
171 | ||
172 | template <class RT>// Error function complement inverse. | |
173 | typename tools::promote_args<RT>::type erfc_inv(RT z); | |
174 | template <class RT, class Policy>// Error function complement inverse. | |
175 | typename tools::promote_args<RT>::type erfc_inv(RT z, const Policy& pol); | |
176 | ||
177 | // Polynomials: | |
178 | template <class T1, class T2, class T3> | |
179 | typename tools::promote_args<T1, T2, T3>::type | |
180 | legendre_next(unsigned l, T1 x, T2 Pl, T3 Plm1); | |
181 | ||
182 | template <class T> | |
183 | typename tools::promote_args<T>::type | |
184 | legendre_p(int l, T x); | |
b32b8144 FG |
185 | template <class T> |
186 | typename tools::promote_args<T>::type | |
187 | legendre_p_prime(int l, T x); | |
188 | ||
189 | ||
190 | template <class T, class Policy> | |
191 | inline std::vector<T> legendre_p_zeros(int l, const Policy& pol); | |
192 | ||
193 | template <class T> | |
194 | inline std::vector<T> legendre_p_zeros(int l); | |
195 | ||
7c673cae FG |
196 | #if !BOOST_WORKAROUND(BOOST_MSVC, <= 1310) |
197 | template <class T, class Policy> | |
198 | typename boost::enable_if_c<policies::is_policy<Policy>::value, typename tools::promote_args<T>::type>::type | |
199 | legendre_p(int l, T x, const Policy& pol); | |
b32b8144 FG |
200 | template <class T, class Policy> |
201 | inline typename boost::enable_if_c<policies::is_policy<Policy>::value, typename tools::promote_args<T>::type>::type | |
202 | legendre_p_prime(int l, T x, const Policy& pol); | |
7c673cae FG |
203 | #endif |
204 | template <class T> | |
205 | typename tools::promote_args<T>::type | |
206 | legendre_q(unsigned l, T x); | |
207 | #if !BOOST_WORKAROUND(BOOST_MSVC, <= 1310) | |
208 | template <class T, class Policy> | |
209 | typename boost::enable_if_c<policies::is_policy<Policy>::value, typename tools::promote_args<T>::type>::type | |
210 | legendre_q(unsigned l, T x, const Policy& pol); | |
211 | #endif | |
212 | template <class T1, class T2, class T3> | |
213 | typename tools::promote_args<T1, T2, T3>::type | |
214 | legendre_next(unsigned l, unsigned m, T1 x, T2 Pl, T3 Plm1); | |
215 | ||
216 | template <class T> | |
217 | typename tools::promote_args<T>::type | |
218 | legendre_p(int l, int m, T x); | |
219 | ||
220 | template <class T, class Policy> | |
221 | typename tools::promote_args<T>::type | |
222 | legendre_p(int l, int m, T x, const Policy& pol); | |
223 | ||
224 | template <class T1, class T2, class T3> | |
225 | typename tools::promote_args<T1, T2, T3>::type | |
226 | laguerre_next(unsigned n, T1 x, T2 Ln, T3 Lnm1); | |
227 | ||
228 | template <class T1, class T2, class T3> | |
229 | typename tools::promote_args<T1, T2, T3>::type | |
230 | laguerre_next(unsigned n, unsigned l, T1 x, T2 Pl, T3 Plm1); | |
231 | ||
232 | template <class T> | |
233 | typename tools::promote_args<T>::type | |
234 | laguerre(unsigned n, T x); | |
235 | ||
236 | template <class T, class Policy> | |
237 | typename tools::promote_args<T>::type | |
238 | laguerre(unsigned n, unsigned m, T x, const Policy& pol); | |
239 | ||
240 | template <class T1, class T2> | |
241 | struct laguerre_result | |
242 | { | |
243 | typedef typename mpl::if_< | |
244 | policies::is_policy<T2>, | |
245 | typename tools::promote_args<T1>::type, | |
246 | typename tools::promote_args<T2>::type | |
247 | >::type type; | |
248 | }; | |
249 | ||
250 | template <class T1, class T2> | |
251 | typename laguerre_result<T1, T2>::type | |
252 | laguerre(unsigned n, T1 m, T2 x); | |
253 | ||
254 | template <class T> | |
255 | typename tools::promote_args<T>::type | |
256 | hermite(unsigned n, T x); | |
257 | ||
258 | template <class T, class Policy> | |
259 | typename tools::promote_args<T>::type | |
260 | hermite(unsigned n, T x, const Policy& pol); | |
261 | ||
262 | template <class T1, class T2, class T3> | |
263 | typename tools::promote_args<T1, T2, T3>::type | |
264 | hermite_next(unsigned n, T1 x, T2 Hn, T3 Hnm1); | |
265 | ||
b32b8144 FG |
266 | template<class T1, class T2, class T3> |
267 | typename tools::promote_args<T1, T2, T3>::type chebyshev_next(T1 const & x, T2 const & Tn, T3 const & Tn_1); | |
268 | ||
269 | template <class Real, class Policy> | |
270 | typename tools::promote_args<Real>::type | |
271 | chebyshev_t(unsigned n, Real const & x, const Policy&); | |
272 | template<class Real> | |
273 | typename tools::promote_args<Real>::type chebyshev_t(unsigned n, Real const & x); | |
274 | ||
275 | template <class Real, class Policy> | |
276 | typename tools::promote_args<Real>::type | |
277 | chebyshev_u(unsigned n, Real const & x, const Policy&); | |
278 | template<class Real> | |
279 | typename tools::promote_args<Real>::type chebyshev_u(unsigned n, Real const & x); | |
280 | ||
281 | template <class Real, class Policy> | |
282 | typename tools::promote_args<Real>::type | |
283 | chebyshev_t_prime(unsigned n, Real const & x, const Policy&); | |
284 | template<class Real> | |
285 | typename tools::promote_args<Real>::type chebyshev_t_prime(unsigned n, Real const & x); | |
286 | ||
287 | template<class Real, class T2> | |
288 | Real chebyshev_clenshaw_recurrence(const Real* const c, size_t length, const T2& x); | |
289 | ||
7c673cae FG |
290 | template <class T1, class T2> |
291 | std::complex<typename tools::promote_args<T1, T2>::type> | |
292 | spherical_harmonic(unsigned n, int m, T1 theta, T2 phi); | |
293 | ||
294 | template <class T1, class T2, class Policy> | |
295 | std::complex<typename tools::promote_args<T1, T2>::type> | |
296 | spherical_harmonic(unsigned n, int m, T1 theta, T2 phi, const Policy& pol); | |
297 | ||
298 | template <class T1, class T2> | |
299 | typename tools::promote_args<T1, T2>::type | |
300 | spherical_harmonic_r(unsigned n, int m, T1 theta, T2 phi); | |
301 | ||
302 | template <class T1, class T2, class Policy> | |
303 | typename tools::promote_args<T1, T2>::type | |
304 | spherical_harmonic_r(unsigned n, int m, T1 theta, T2 phi, const Policy& pol); | |
305 | ||
306 | template <class T1, class T2> | |
307 | typename tools::promote_args<T1, T2>::type | |
308 | spherical_harmonic_i(unsigned n, int m, T1 theta, T2 phi); | |
309 | ||
310 | template <class T1, class T2, class Policy> | |
311 | typename tools::promote_args<T1, T2>::type | |
312 | spherical_harmonic_i(unsigned n, int m, T1 theta, T2 phi, const Policy& pol); | |
313 | ||
314 | // Elliptic integrals: | |
315 | template <class T1, class T2, class T3> | |
316 | typename tools::promote_args<T1, T2, T3>::type | |
317 | ellint_rf(T1 x, T2 y, T3 z); | |
318 | ||
319 | template <class T1, class T2, class T3, class Policy> | |
320 | typename tools::promote_args<T1, T2, T3>::type | |
321 | ellint_rf(T1 x, T2 y, T3 z, const Policy& pol); | |
322 | ||
323 | template <class T1, class T2, class T3> | |
324 | typename tools::promote_args<T1, T2, T3>::type | |
325 | ellint_rd(T1 x, T2 y, T3 z); | |
326 | ||
327 | template <class T1, class T2, class T3, class Policy> | |
328 | typename tools::promote_args<T1, T2, T3>::type | |
329 | ellint_rd(T1 x, T2 y, T3 z, const Policy& pol); | |
330 | ||
331 | template <class T1, class T2> | |
332 | typename tools::promote_args<T1, T2>::type | |
333 | ellint_rc(T1 x, T2 y); | |
334 | ||
335 | template <class T1, class T2, class Policy> | |
336 | typename tools::promote_args<T1, T2>::type | |
337 | ellint_rc(T1 x, T2 y, const Policy& pol); | |
338 | ||
339 | template <class T1, class T2, class T3, class T4> | |
340 | typename tools::promote_args<T1, T2, T3, T4>::type | |
341 | ellint_rj(T1 x, T2 y, T3 z, T4 p); | |
342 | ||
343 | template <class T1, class T2, class T3, class T4, class Policy> | |
344 | typename tools::promote_args<T1, T2, T3, T4>::type | |
345 | ellint_rj(T1 x, T2 y, T3 z, T4 p, const Policy& pol); | |
346 | ||
347 | template <class T1, class T2, class T3> | |
348 | typename tools::promote_args<T1, T2, T3>::type | |
349 | ellint_rg(T1 x, T2 y, T3 z); | |
350 | ||
351 | template <class T1, class T2, class T3, class Policy> | |
352 | typename tools::promote_args<T1, T2, T3>::type | |
353 | ellint_rg(T1 x, T2 y, T3 z, const Policy& pol); | |
354 | ||
355 | template <typename T> | |
356 | typename tools::promote_args<T>::type ellint_2(T k); | |
357 | ||
358 | template <class T1, class T2> | |
359 | typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi); | |
360 | ||
361 | template <class T1, class T2, class Policy> | |
362 | typename tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi, const Policy& pol); | |
363 | ||
364 | template <typename T> | |
365 | typename tools::promote_args<T>::type ellint_1(T k); | |
366 | ||
367 | template <class T1, class T2> | |
368 | typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi); | |
369 | ||
370 | template <class T1, class T2, class Policy> | |
371 | typename tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi, const Policy& pol); | |
372 | ||
373 | template <typename T> | |
374 | typename tools::promote_args<T>::type ellint_d(T k); | |
375 | ||
376 | template <class T1, class T2> | |
377 | typename tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi); | |
378 | ||
379 | template <class T1, class T2, class Policy> | |
380 | typename tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi, const Policy& pol); | |
381 | ||
382 | template <class T1, class T2> | |
383 | typename tools::promote_args<T1, T2>::type jacobi_zeta(T1 k, T2 phi); | |
384 | ||
385 | template <class T1, class T2, class Policy> | |
386 | typename tools::promote_args<T1, T2>::type jacobi_zeta(T1 k, T2 phi, const Policy& pol); | |
387 | ||
388 | template <class T1, class T2> | |
389 | typename tools::promote_args<T1, T2>::type heuman_lambda(T1 k, T2 phi); | |
390 | ||
391 | template <class T1, class T2, class Policy> | |
392 | typename tools::promote_args<T1, T2>::type heuman_lambda(T1 k, T2 phi, const Policy& pol); | |
393 | ||
394 | namespace detail{ | |
395 | ||
396 | template <class T, class U, class V> | |
397 | struct ellint_3_result | |
398 | { | |
399 | typedef typename mpl::if_< | |
400 | policies::is_policy<V>, | |
401 | typename tools::promote_args<T, U>::type, | |
402 | typename tools::promote_args<T, U, V>::type | |
403 | >::type type; | |
404 | }; | |
405 | ||
406 | } // namespace detail | |
407 | ||
408 | ||
409 | template <class T1, class T2, class T3> | |
410 | typename detail::ellint_3_result<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi); | |
411 | ||
412 | template <class T1, class T2, class T3, class Policy> | |
413 | typename tools::promote_args<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi, const Policy& pol); | |
414 | ||
415 | template <class T1, class T2> | |
416 | typename tools::promote_args<T1, T2>::type ellint_3(T1 k, T2 v); | |
417 | ||
418 | // Factorial functions. | |
419 | // Note: not for integral types, at present. | |
420 | template <class RT> | |
421 | struct max_factorial; | |
422 | template <class RT> | |
423 | RT factorial(unsigned int); | |
424 | template <class RT, class Policy> | |
425 | RT factorial(unsigned int, const Policy& pol); | |
426 | template <class RT> | |
427 | RT unchecked_factorial(unsigned int BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(RT)); | |
428 | template <class RT> | |
429 | RT double_factorial(unsigned i); | |
430 | template <class RT, class Policy> | |
431 | RT double_factorial(unsigned i, const Policy& pol); | |
432 | ||
433 | template <class RT> | |
434 | typename tools::promote_args<RT>::type falling_factorial(RT x, unsigned n); | |
435 | ||
436 | template <class RT, class Policy> | |
437 | typename tools::promote_args<RT>::type falling_factorial(RT x, unsigned n, const Policy& pol); | |
438 | ||
439 | template <class RT> | |
440 | typename tools::promote_args<RT>::type rising_factorial(RT x, int n); | |
441 | ||
442 | template <class RT, class Policy> | |
443 | typename tools::promote_args<RT>::type rising_factorial(RT x, int n, const Policy& pol); | |
444 | ||
445 | // Gamma functions. | |
446 | template <class RT> | |
447 | typename tools::promote_args<RT>::type tgamma(RT z); | |
448 | ||
449 | template <class RT> | |
450 | typename tools::promote_args<RT>::type tgamma1pm1(RT z); | |
451 | ||
452 | template <class RT, class Policy> | |
453 | typename tools::promote_args<RT>::type tgamma1pm1(RT z, const Policy& pol); | |
454 | ||
455 | template <class RT1, class RT2> | |
456 | typename tools::promote_args<RT1, RT2>::type tgamma(RT1 a, RT2 z); | |
457 | ||
458 | template <class RT1, class RT2, class Policy> | |
459 | typename tools::promote_args<RT1, RT2>::type tgamma(RT1 a, RT2 z, const Policy& pol); | |
460 | ||
461 | template <class RT> | |
462 | typename tools::promote_args<RT>::type lgamma(RT z, int* sign); | |
463 | ||
464 | template <class RT, class Policy> | |
465 | typename tools::promote_args<RT>::type lgamma(RT z, int* sign, const Policy& pol); | |
466 | ||
467 | template <class RT> | |
468 | typename tools::promote_args<RT>::type lgamma(RT x); | |
469 | ||
470 | template <class RT, class Policy> | |
471 | typename tools::promote_args<RT>::type lgamma(RT x, const Policy& pol); | |
472 | ||
473 | template <class RT1, class RT2> | |
474 | typename tools::promote_args<RT1, RT2>::type tgamma_lower(RT1 a, RT2 z); | |
475 | ||
476 | template <class RT1, class RT2, class Policy> | |
477 | typename tools::promote_args<RT1, RT2>::type tgamma_lower(RT1 a, RT2 z, const Policy&); | |
478 | ||
479 | template <class RT1, class RT2> | |
480 | typename tools::promote_args<RT1, RT2>::type gamma_q(RT1 a, RT2 z); | |
481 | ||
482 | template <class RT1, class RT2, class Policy> | |
483 | typename tools::promote_args<RT1, RT2>::type gamma_q(RT1 a, RT2 z, const Policy&); | |
484 | ||
485 | template <class RT1, class RT2> | |
486 | typename tools::promote_args<RT1, RT2>::type gamma_p(RT1 a, RT2 z); | |
487 | ||
488 | template <class RT1, class RT2, class Policy> | |
489 | typename tools::promote_args<RT1, RT2>::type gamma_p(RT1 a, RT2 z, const Policy&); | |
490 | ||
491 | template <class T1, class T2> | |
492 | typename tools::promote_args<T1, T2>::type tgamma_delta_ratio(T1 z, T2 delta); | |
493 | ||
494 | template <class T1, class T2, class Policy> | |
495 | typename tools::promote_args<T1, T2>::type tgamma_delta_ratio(T1 z, T2 delta, const Policy&); | |
496 | ||
497 | template <class T1, class T2> | |
498 | typename tools::promote_args<T1, T2>::type tgamma_ratio(T1 a, T2 b); | |
499 | ||
500 | template <class T1, class T2, class Policy> | |
501 | typename tools::promote_args<T1, T2>::type tgamma_ratio(T1 a, T2 b, const Policy&); | |
502 | ||
503 | template <class T1, class T2> | |
504 | typename tools::promote_args<T1, T2>::type gamma_p_derivative(T1 a, T2 x); | |
505 | ||
506 | template <class T1, class T2, class Policy> | |
507 | typename tools::promote_args<T1, T2>::type gamma_p_derivative(T1 a, T2 x, const Policy&); | |
508 | ||
509 | // gamma inverse. | |
510 | template <class T1, class T2> | |
511 | typename tools::promote_args<T1, T2>::type gamma_p_inv(T1 a, T2 p); | |
512 | ||
513 | template <class T1, class T2, class Policy> | |
514 | typename tools::promote_args<T1, T2>::type gamma_p_inva(T1 a, T2 p, const Policy&); | |
515 | ||
516 | template <class T1, class T2> | |
517 | typename tools::promote_args<T1, T2>::type gamma_p_inva(T1 a, T2 p); | |
518 | ||
519 | template <class T1, class T2, class Policy> | |
520 | typename tools::promote_args<T1, T2>::type gamma_p_inv(T1 a, T2 p, const Policy&); | |
521 | ||
522 | template <class T1, class T2> | |
523 | typename tools::promote_args<T1, T2>::type gamma_q_inv(T1 a, T2 q); | |
524 | ||
525 | template <class T1, class T2, class Policy> | |
526 | typename tools::promote_args<T1, T2>::type gamma_q_inv(T1 a, T2 q, const Policy&); | |
527 | ||
528 | template <class T1, class T2> | |
529 | typename tools::promote_args<T1, T2>::type gamma_q_inva(T1 a, T2 q); | |
530 | ||
531 | template <class T1, class T2, class Policy> | |
532 | typename tools::promote_args<T1, T2>::type gamma_q_inva(T1 a, T2 q, const Policy&); | |
533 | ||
534 | // digamma: | |
535 | template <class T> | |
536 | typename tools::promote_args<T>::type digamma(T x); | |
537 | ||
538 | template <class T, class Policy> | |
539 | typename tools::promote_args<T>::type digamma(T x, const Policy&); | |
540 | ||
541 | // trigamma: | |
542 | template <class T> | |
543 | typename tools::promote_args<T>::type trigamma(T x); | |
544 | ||
545 | template <class T, class Policy> | |
546 | typename tools::promote_args<T>::type trigamma(T x, const Policy&); | |
547 | ||
548 | // polygamma: | |
549 | template <class T> | |
550 | typename tools::promote_args<T>::type polygamma(int n, T x); | |
551 | ||
552 | template <class T, class Policy> | |
553 | typename tools::promote_args<T>::type polygamma(int n, T x, const Policy&); | |
554 | ||
555 | // Hypotenuse function sqrt(x ^ 2 + y ^ 2). | |
556 | template <class T1, class T2> | |
557 | typename tools::promote_args<T1, T2>::type | |
558 | hypot(T1 x, T2 y); | |
559 | ||
560 | template <class T1, class T2, class Policy> | |
561 | typename tools::promote_args<T1, T2>::type | |
562 | hypot(T1 x, T2 y, const Policy&); | |
563 | ||
564 | // cbrt - cube root. | |
565 | template <class RT> | |
566 | typename tools::promote_args<RT>::type cbrt(RT z); | |
567 | ||
568 | template <class RT, class Policy> | |
569 | typename tools::promote_args<RT>::type cbrt(RT z, const Policy&); | |
570 | ||
571 | // log1p is log(x + 1) | |
572 | template <class T> | |
573 | typename tools::promote_args<T>::type log1p(T); | |
574 | ||
575 | template <class T, class Policy> | |
576 | typename tools::promote_args<T>::type log1p(T, const Policy&); | |
577 | ||
578 | // log1pmx is log(x + 1) - x | |
579 | template <class T> | |
580 | typename tools::promote_args<T>::type log1pmx(T); | |
581 | ||
582 | template <class T, class Policy> | |
583 | typename tools::promote_args<T>::type log1pmx(T, const Policy&); | |
584 | ||
585 | // Exp (x) minus 1 functions. | |
586 | template <class T> | |
587 | typename tools::promote_args<T>::type expm1(T); | |
588 | ||
589 | template <class T, class Policy> | |
590 | typename tools::promote_args<T>::type expm1(T, const Policy&); | |
591 | ||
592 | // Power - 1 | |
593 | template <class T1, class T2> | |
594 | typename tools::promote_args<T1, T2>::type | |
595 | powm1(const T1 a, const T2 z); | |
596 | ||
597 | template <class T1, class T2, class Policy> | |
598 | typename tools::promote_args<T1, T2>::type | |
599 | powm1(const T1 a, const T2 z, const Policy&); | |
600 | ||
601 | // sqrt(1+x) - 1 | |
602 | template <class T> | |
603 | typename tools::promote_args<T>::type sqrt1pm1(const T& val); | |
604 | ||
605 | template <class T, class Policy> | |
606 | typename tools::promote_args<T>::type sqrt1pm1(const T& val, const Policy&); | |
607 | ||
608 | // sinus cardinals: | |
609 | template <class T> | |
610 | typename tools::promote_args<T>::type sinc_pi(T x); | |
611 | ||
612 | template <class T, class Policy> | |
613 | typename tools::promote_args<T>::type sinc_pi(T x, const Policy&); | |
614 | ||
615 | template <class T> | |
616 | typename tools::promote_args<T>::type sinhc_pi(T x); | |
617 | ||
618 | template <class T, class Policy> | |
619 | typename tools::promote_args<T>::type sinhc_pi(T x, const Policy&); | |
620 | ||
621 | // inverse hyperbolics: | |
622 | template<typename T> | |
623 | typename tools::promote_args<T>::type asinh(T x); | |
624 | ||
625 | template<typename T, class Policy> | |
626 | typename tools::promote_args<T>::type asinh(T x, const Policy&); | |
627 | ||
628 | template<typename T> | |
629 | typename tools::promote_args<T>::type acosh(T x); | |
630 | ||
631 | template<typename T, class Policy> | |
632 | typename tools::promote_args<T>::type acosh(T x, const Policy&); | |
633 | ||
634 | template<typename T> | |
635 | typename tools::promote_args<T>::type atanh(T x); | |
636 | ||
637 | template<typename T, class Policy> | |
638 | typename tools::promote_args<T>::type atanh(T x, const Policy&); | |
639 | ||
640 | namespace detail{ | |
641 | ||
f67539c2 TL |
642 | typedef boost::integral_constant<int, 0> bessel_no_int_tag; // No integer optimisation possible. |
643 | typedef boost::integral_constant<int, 1> bessel_maybe_int_tag; // Maybe integer optimisation. | |
644 | typedef boost::integral_constant<int, 2> bessel_int_tag; // Definite integer optimisation. | |
7c673cae FG |
645 | |
646 | template <class T1, class T2, class Policy> | |
647 | struct bessel_traits | |
648 | { | |
649 | typedef typename mpl::if_< | |
650 | is_integral<T1>, | |
651 | typename tools::promote_args<T2>::type, | |
652 | typename tools::promote_args<T1, T2>::type | |
653 | >::type result_type; | |
654 | ||
655 | typedef typename policies::precision<result_type, Policy>::type precision_type; | |
656 | ||
657 | typedef typename mpl::if_< | |
658 | mpl::or_< | |
f67539c2 TL |
659 | mpl::less_equal<precision_type, boost::integral_constant<int, 0> >, |
660 | mpl::greater<precision_type, boost::integral_constant<int, 64> > >, | |
7c673cae FG |
661 | bessel_no_int_tag, |
662 | typename mpl::if_< | |
663 | is_integral<T1>, | |
664 | bessel_int_tag, | |
665 | bessel_maybe_int_tag | |
666 | >::type | |
667 | >::type optimisation_tag; | |
b32b8144 FG |
668 | typedef typename mpl::if_< |
669 | mpl::or_< | |
f67539c2 TL |
670 | mpl::less_equal<precision_type, boost::integral_constant<int, 0> >, |
671 | mpl::greater<precision_type, boost::integral_constant<int, 113> > >, | |
b32b8144 FG |
672 | bessel_no_int_tag, |
673 | typename mpl::if_< | |
674 | is_integral<T1>, | |
675 | bessel_int_tag, | |
676 | bessel_maybe_int_tag | |
677 | >::type | |
678 | >::type optimisation_tag128; | |
7c673cae FG |
679 | }; |
680 | } // detail | |
681 | ||
682 | // Bessel functions: | |
683 | template <class T1, class T2, class Policy> | |
684 | typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_j(T1 v, T2 x, const Policy& pol); | |
685 | template <class T1, class T2, class Policy> | |
686 | typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_j_prime(T1 v, T2 x, const Policy& pol); | |
687 | ||
688 | template <class T1, class T2> | |
689 | typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_j(T1 v, T2 x); | |
690 | template <class T1, class T2> | |
691 | typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_j_prime(T1 v, T2 x); | |
692 | ||
693 | template <class T, class Policy> | |
694 | typename detail::bessel_traits<T, T, Policy>::result_type sph_bessel(unsigned v, T x, const Policy& pol); | |
695 | template <class T, class Policy> | |
696 | typename detail::bessel_traits<T, T, Policy>::result_type sph_bessel_prime(unsigned v, T x, const Policy& pol); | |
697 | ||
698 | template <class T> | |
699 | typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_bessel(unsigned v, T x); | |
700 | template <class T> | |
701 | typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_bessel_prime(unsigned v, T x); | |
702 | ||
703 | template <class T1, class T2, class Policy> | |
704 | typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_i(T1 v, T2 x, const Policy& pol); | |
705 | template <class T1, class T2, class Policy> | |
706 | typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_i_prime(T1 v, T2 x, const Policy& pol); | |
707 | ||
708 | template <class T1, class T2> | |
709 | typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_i(T1 v, T2 x); | |
710 | template <class T1, class T2> | |
711 | typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_i_prime(T1 v, T2 x); | |
712 | ||
713 | template <class T1, class T2, class Policy> | |
714 | typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_k(T1 v, T2 x, const Policy& pol); | |
715 | template <class T1, class T2, class Policy> | |
716 | typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_bessel_k_prime(T1 v, T2 x, const Policy& pol); | |
717 | ||
718 | template <class T1, class T2> | |
719 | typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_k(T1 v, T2 x); | |
720 | template <class T1, class T2> | |
721 | typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_bessel_k_prime(T1 v, T2 x); | |
722 | ||
723 | template <class T1, class T2, class Policy> | |
724 | typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_neumann(T1 v, T2 x, const Policy& pol); | |
725 | template <class T1, class T2, class Policy> | |
726 | typename detail::bessel_traits<T1, T2, Policy>::result_type cyl_neumann_prime(T1 v, T2 x, const Policy& pol); | |
727 | ||
728 | template <class T1, class T2> | |
729 | typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_neumann(T1 v, T2 x); | |
730 | template <class T1, class T2> | |
731 | typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type cyl_neumann_prime(T1 v, T2 x); | |
732 | ||
733 | template <class T, class Policy> | |
734 | typename detail::bessel_traits<T, T, Policy>::result_type sph_neumann(unsigned v, T x, const Policy& pol); | |
735 | template <class T, class Policy> | |
736 | typename detail::bessel_traits<T, T, Policy>::result_type sph_neumann_prime(unsigned v, T x, const Policy& pol); | |
737 | ||
738 | template <class T> | |
739 | typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_neumann(unsigned v, T x); | |
740 | template <class T> | |
741 | typename detail::bessel_traits<T, T, policies::policy<> >::result_type sph_neumann_prime(unsigned v, T x); | |
742 | ||
743 | template <class T, class Policy> | |
744 | typename detail::bessel_traits<T, T, Policy>::result_type cyl_bessel_j_zero(T v, int m, const Policy& pol); | |
745 | ||
746 | template <class T> | |
747 | typename detail::bessel_traits<T, T, policies::policy<> >::result_type cyl_bessel_j_zero(T v, int m); | |
748 | ||
749 | template <class T, class OutputIterator> | |
750 | OutputIterator cyl_bessel_j_zero(T v, | |
751 | int start_index, | |
752 | unsigned number_of_zeros, | |
753 | OutputIterator out_it); | |
754 | ||
755 | template <class T, class OutputIterator, class Policy> | |
756 | OutputIterator cyl_bessel_j_zero(T v, | |
757 | int start_index, | |
758 | unsigned number_of_zeros, | |
759 | OutputIterator out_it, | |
760 | const Policy&); | |
761 | ||
762 | template <class T, class Policy> | |
763 | typename detail::bessel_traits<T, T, Policy>::result_type cyl_neumann_zero(T v, int m, const Policy& pol); | |
764 | ||
765 | template <class T> | |
766 | typename detail::bessel_traits<T, T, policies::policy<> >::result_type cyl_neumann_zero(T v, int m); | |
767 | ||
768 | template <class T, class OutputIterator> | |
769 | OutputIterator cyl_neumann_zero(T v, | |
770 | int start_index, | |
771 | unsigned number_of_zeros, | |
772 | OutputIterator out_it); | |
773 | ||
774 | template <class T, class OutputIterator, class Policy> | |
775 | OutputIterator cyl_neumann_zero(T v, | |
776 | int start_index, | |
777 | unsigned number_of_zeros, | |
778 | OutputIterator out_it, | |
779 | const Policy&); | |
780 | ||
781 | template <class T1, class T2> | |
782 | std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> cyl_hankel_1(T1 v, T2 x); | |
783 | ||
784 | template <class T1, class T2, class Policy> | |
785 | std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> cyl_hankel_1(T1 v, T2 x, const Policy& pol); | |
786 | ||
787 | template <class T1, class T2, class Policy> | |
788 | std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> cyl_hankel_2(T1 v, T2 x, const Policy& pol); | |
789 | ||
790 | template <class T1, class T2> | |
791 | std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> cyl_hankel_2(T1 v, T2 x); | |
792 | ||
793 | template <class T1, class T2, class Policy> | |
794 | std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> sph_hankel_1(T1 v, T2 x, const Policy& pol); | |
795 | ||
796 | template <class T1, class T2> | |
797 | std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> sph_hankel_1(T1 v, T2 x); | |
798 | ||
799 | template <class T1, class T2, class Policy> | |
800 | std::complex<typename detail::bessel_traits<T1, T2, Policy>::result_type> sph_hankel_2(T1 v, T2 x, const Policy& pol); | |
801 | ||
802 | template <class T1, class T2> | |
803 | std::complex<typename detail::bessel_traits<T1, T2, policies::policy<> >::result_type> sph_hankel_2(T1 v, T2 x); | |
804 | ||
805 | template <class T, class Policy> | |
806 | typename tools::promote_args<T>::type airy_ai(T x, const Policy&); | |
807 | ||
808 | template <class T> | |
809 | typename tools::promote_args<T>::type airy_ai(T x); | |
810 | ||
811 | template <class T, class Policy> | |
812 | typename tools::promote_args<T>::type airy_bi(T x, const Policy&); | |
813 | ||
814 | template <class T> | |
815 | typename tools::promote_args<T>::type airy_bi(T x); | |
816 | ||
817 | template <class T, class Policy> | |
818 | typename tools::promote_args<T>::type airy_ai_prime(T x, const Policy&); | |
819 | ||
820 | template <class T> | |
821 | typename tools::promote_args<T>::type airy_ai_prime(T x); | |
822 | ||
823 | template <class T, class Policy> | |
824 | typename tools::promote_args<T>::type airy_bi_prime(T x, const Policy&); | |
825 | ||
826 | template <class T> | |
827 | typename tools::promote_args<T>::type airy_bi_prime(T x); | |
828 | ||
829 | template <class T> | |
830 | T airy_ai_zero(int m); | |
831 | template <class T, class Policy> | |
832 | T airy_ai_zero(int m, const Policy&); | |
833 | ||
834 | template <class OutputIterator> | |
835 | OutputIterator airy_ai_zero( | |
836 | int start_index, | |
837 | unsigned number_of_zeros, | |
838 | OutputIterator out_it); | |
839 | template <class OutputIterator, class Policy> | |
840 | OutputIterator airy_ai_zero( | |
841 | int start_index, | |
842 | unsigned number_of_zeros, | |
843 | OutputIterator out_it, | |
844 | const Policy&); | |
845 | ||
846 | template <class T> | |
847 | T airy_bi_zero(int m); | |
848 | template <class T, class Policy> | |
849 | T airy_bi_zero(int m, const Policy&); | |
850 | ||
851 | template <class OutputIterator> | |
852 | OutputIterator airy_bi_zero( | |
853 | int start_index, | |
854 | unsigned number_of_zeros, | |
855 | OutputIterator out_it); | |
856 | template <class OutputIterator, class Policy> | |
857 | OutputIterator airy_bi_zero( | |
858 | int start_index, | |
859 | unsigned number_of_zeros, | |
860 | OutputIterator out_it, | |
861 | const Policy&); | |
862 | ||
863 | template <class T, class Policy> | |
864 | typename tools::promote_args<T>::type sin_pi(T x, const Policy&); | |
865 | ||
866 | template <class T> | |
867 | typename tools::promote_args<T>::type sin_pi(T x); | |
868 | ||
869 | template <class T, class Policy> | |
870 | typename tools::promote_args<T>::type cos_pi(T x, const Policy&); | |
871 | ||
872 | template <class T> | |
873 | typename tools::promote_args<T>::type cos_pi(T x); | |
874 | ||
875 | template <class T> | |
876 | int fpclassify BOOST_NO_MACRO_EXPAND(T t); | |
877 | ||
878 | template <class T> | |
879 | bool isfinite BOOST_NO_MACRO_EXPAND(T z); | |
880 | ||
881 | template <class T> | |
882 | bool isinf BOOST_NO_MACRO_EXPAND(T t); | |
883 | ||
884 | template <class T> | |
885 | bool isnan BOOST_NO_MACRO_EXPAND(T t); | |
886 | ||
887 | template <class T> | |
888 | bool isnormal BOOST_NO_MACRO_EXPAND(T t); | |
889 | ||
890 | template<class T> | |
891 | int signbit BOOST_NO_MACRO_EXPAND(T x); | |
892 | ||
893 | template <class T> | |
894 | int sign BOOST_NO_MACRO_EXPAND(const T& z); | |
895 | ||
896 | template <class T, class U> | |
897 | typename tools::promote_args_permissive<T, U>::type copysign BOOST_NO_MACRO_EXPAND(const T& x, const U& y); | |
898 | ||
899 | template <class T> | |
900 | typename tools::promote_args_permissive<T>::type changesign BOOST_NO_MACRO_EXPAND(const T& z); | |
901 | ||
902 | // Exponential integrals: | |
903 | namespace detail{ | |
904 | ||
905 | template <class T, class U> | |
906 | struct expint_result | |
907 | { | |
908 | typedef typename mpl::if_< | |
909 | policies::is_policy<U>, | |
910 | typename tools::promote_args<T>::type, | |
911 | typename tools::promote_args<U>::type | |
912 | >::type type; | |
913 | }; | |
914 | ||
915 | } // namespace detail | |
916 | ||
917 | template <class T, class Policy> | |
918 | typename tools::promote_args<T>::type expint(unsigned n, T z, const Policy&); | |
919 | ||
920 | template <class T, class U> | |
921 | typename detail::expint_result<T, U>::type expint(T const z, U const u); | |
922 | ||
923 | template <class T> | |
924 | typename tools::promote_args<T>::type expint(T z); | |
925 | ||
926 | // Zeta: | |
927 | template <class T, class Policy> | |
928 | typename tools::promote_args<T>::type zeta(T s, const Policy&); | |
929 | ||
930 | // Owen's T function: | |
931 | template <class T1, class T2, class Policy> | |
932 | typename tools::promote_args<T1, T2>::type owens_t(T1 h, T2 a, const Policy& pol); | |
933 | ||
934 | template <class T1, class T2> | |
935 | typename tools::promote_args<T1, T2>::type owens_t(T1 h, T2 a); | |
936 | ||
937 | // Jacobi Functions: | |
938 | template <class T, class U, class V, class Policy> | |
939 | typename tools::promote_args<T, U, V>::type jacobi_elliptic(T k, U theta, V* pcn, V* pdn, const Policy&); | |
940 | ||
941 | template <class T, class U, class V> | |
942 | typename tools::promote_args<T, U, V>::type jacobi_elliptic(T k, U theta, V* pcn = 0, V* pdn = 0); | |
943 | ||
944 | template <class U, class T, class Policy> | |
945 | typename tools::promote_args<T, U>::type jacobi_sn(U k, T theta, const Policy& pol); | |
946 | ||
947 | template <class U, class T> | |
948 | typename tools::promote_args<T, U>::type jacobi_sn(U k, T theta); | |
949 | ||
950 | template <class T, class U, class Policy> | |
951 | typename tools::promote_args<T, U>::type jacobi_cn(T k, U theta, const Policy& pol); | |
952 | ||
953 | template <class T, class U> | |
954 | typename tools::promote_args<T, U>::type jacobi_cn(T k, U theta); | |
955 | ||
956 | template <class T, class U, class Policy> | |
957 | typename tools::promote_args<T, U>::type jacobi_dn(T k, U theta, const Policy& pol); | |
958 | ||
959 | template <class T, class U> | |
960 | typename tools::promote_args<T, U>::type jacobi_dn(T k, U theta); | |
961 | ||
962 | template <class T, class U, class Policy> | |
963 | typename tools::promote_args<T, U>::type jacobi_cd(T k, U theta, const Policy& pol); | |
964 | ||
965 | template <class T, class U> | |
966 | typename tools::promote_args<T, U>::type jacobi_cd(T k, U theta); | |
967 | ||
968 | template <class T, class U, class Policy> | |
969 | typename tools::promote_args<T, U>::type jacobi_dc(T k, U theta, const Policy& pol); | |
970 | ||
971 | template <class T, class U> | |
972 | typename tools::promote_args<T, U>::type jacobi_dc(T k, U theta); | |
973 | ||
974 | template <class T, class U, class Policy> | |
975 | typename tools::promote_args<T, U>::type jacobi_ns(T k, U theta, const Policy& pol); | |
976 | ||
977 | template <class T, class U> | |
978 | typename tools::promote_args<T, U>::type jacobi_ns(T k, U theta); | |
979 | ||
980 | template <class T, class U, class Policy> | |
981 | typename tools::promote_args<T, U>::type jacobi_sd(T k, U theta, const Policy& pol); | |
982 | ||
983 | template <class T, class U> | |
984 | typename tools::promote_args<T, U>::type jacobi_sd(T k, U theta); | |
985 | ||
986 | template <class T, class U, class Policy> | |
987 | typename tools::promote_args<T, U>::type jacobi_ds(T k, U theta, const Policy& pol); | |
988 | ||
989 | template <class T, class U> | |
990 | typename tools::promote_args<T, U>::type jacobi_ds(T k, U theta); | |
991 | ||
992 | template <class T, class U, class Policy> | |
993 | typename tools::promote_args<T, U>::type jacobi_nc(T k, U theta, const Policy& pol); | |
994 | ||
995 | template <class T, class U> | |
996 | typename tools::promote_args<T, U>::type jacobi_nc(T k, U theta); | |
997 | ||
998 | template <class T, class U, class Policy> | |
999 | typename tools::promote_args<T, U>::type jacobi_nd(T k, U theta, const Policy& pol); | |
1000 | ||
1001 | template <class T, class U> | |
1002 | typename tools::promote_args<T, U>::type jacobi_nd(T k, U theta); | |
1003 | ||
1004 | template <class T, class U, class Policy> | |
1005 | typename tools::promote_args<T, U>::type jacobi_sc(T k, U theta, const Policy& pol); | |
1006 | ||
1007 | template <class T, class U> | |
1008 | typename tools::promote_args<T, U>::type jacobi_sc(T k, U theta); | |
1009 | ||
1010 | template <class T, class U, class Policy> | |
1011 | typename tools::promote_args<T, U>::type jacobi_cs(T k, U theta, const Policy& pol); | |
1012 | ||
1013 | template <class T, class U> | |
1014 | typename tools::promote_args<T, U>::type jacobi_cs(T k, U theta); | |
1015 | ||
20effc67 TL |
1016 | // Jacobi Theta Functions: |
1017 | template <class T, class U, class Policy> | |
1018 | typename tools::promote_args<T, U>::type jacobi_theta1(T z, U q, const Policy& pol); | |
1019 | ||
1020 | template <class T, class U> | |
1021 | typename tools::promote_args<T, U>::type jacobi_theta1(T z, U q); | |
1022 | ||
1023 | template <class T, class U, class Policy> | |
1024 | typename tools::promote_args<T, U>::type jacobi_theta2(T z, U q, const Policy& pol); | |
1025 | ||
1026 | template <class T, class U> | |
1027 | typename tools::promote_args<T, U>::type jacobi_theta2(T z, U q); | |
1028 | ||
1029 | template <class T, class U, class Policy> | |
1030 | typename tools::promote_args<T, U>::type jacobi_theta3(T z, U q, const Policy& pol); | |
1031 | ||
1032 | template <class T, class U> | |
1033 | typename tools::promote_args<T, U>::type jacobi_theta3(T z, U q); | |
1034 | ||
1035 | template <class T, class U, class Policy> | |
1036 | typename tools::promote_args<T, U>::type jacobi_theta4(T z, U q, const Policy& pol); | |
1037 | ||
1038 | template <class T, class U> | |
1039 | typename tools::promote_args<T, U>::type jacobi_theta4(T z, U q); | |
1040 | ||
1041 | template <class T, class U, class Policy> | |
1042 | typename tools::promote_args<T, U>::type jacobi_theta1tau(T z, U tau, const Policy& pol); | |
1043 | ||
1044 | template <class T, class U> | |
1045 | typename tools::promote_args<T, U>::type jacobi_theta1tau(T z, U tau); | |
1046 | ||
1047 | template <class T, class U, class Policy> | |
1048 | typename tools::promote_args<T, U>::type jacobi_theta2tau(T z, U tau, const Policy& pol); | |
1049 | ||
1050 | template <class T, class U> | |
1051 | typename tools::promote_args<T, U>::type jacobi_theta2tau(T z, U tau); | |
1052 | ||
1053 | template <class T, class U, class Policy> | |
1054 | typename tools::promote_args<T, U>::type jacobi_theta3tau(T z, U tau, const Policy& pol); | |
1055 | ||
1056 | template <class T, class U> | |
1057 | typename tools::promote_args<T, U>::type jacobi_theta3tau(T z, U tau); | |
1058 | ||
1059 | template <class T, class U, class Policy> | |
1060 | typename tools::promote_args<T, U>::type jacobi_theta4tau(T z, U tau, const Policy& pol); | |
1061 | ||
1062 | template <class T, class U> | |
1063 | typename tools::promote_args<T, U>::type jacobi_theta4tau(T z, U tau); | |
1064 | ||
1065 | template <class T, class U, class Policy> | |
1066 | typename tools::promote_args<T, U>::type jacobi_theta3m1(T z, U q, const Policy& pol); | |
1067 | ||
1068 | template <class T, class U> | |
1069 | typename tools::promote_args<T, U>::type jacobi_theta3m1(T z, U q); | |
1070 | ||
1071 | template <class T, class U, class Policy> | |
1072 | typename tools::promote_args<T, U>::type jacobi_theta4m1(T z, U q, const Policy& pol); | |
1073 | ||
1074 | template <class T, class U> | |
1075 | typename tools::promote_args<T, U>::type jacobi_theta4m1(T z, U q); | |
1076 | ||
1077 | template <class T, class U, class Policy> | |
1078 | typename tools::promote_args<T, U>::type jacobi_theta3m1tau(T z, U tau, const Policy& pol); | |
1079 | ||
1080 | template <class T, class U> | |
1081 | typename tools::promote_args<T, U>::type jacobi_theta3m1tau(T z, U tau); | |
1082 | ||
1083 | template <class T, class U, class Policy> | |
1084 | typename tools::promote_args<T, U>::type jacobi_theta4m1tau(T z, U tau, const Policy& pol); | |
1085 | ||
1086 | template <class T, class U> | |
1087 | typename tools::promote_args<T, U>::type jacobi_theta4m1tau(T z, U tau); | |
1088 | ||
7c673cae FG |
1089 | |
1090 | template <class T> | |
1091 | typename tools::promote_args<T>::type zeta(T s); | |
1092 | ||
1093 | // pow: | |
1094 | template <int N, typename T, class Policy> | |
20effc67 | 1095 | BOOST_CXX14_CONSTEXPR typename tools::promote_args<T>::type pow(T base, const Policy& policy); |
7c673cae FG |
1096 | |
1097 | template <int N, typename T> | |
20effc67 | 1098 | BOOST_CXX14_CONSTEXPR typename tools::promote_args<T>::type pow(T base); |
7c673cae FG |
1099 | |
1100 | // next: | |
1101 | template <class T, class U, class Policy> | |
1102 | typename tools::promote_args<T, U>::type nextafter(const T&, const U&, const Policy&); | |
1103 | template <class T, class U> | |
1104 | typename tools::promote_args<T, U>::type nextafter(const T&, const U&); | |
1105 | template <class T, class Policy> | |
1106 | typename tools::promote_args<T>::type float_next(const T&, const Policy&); | |
1107 | template <class T> | |
1108 | typename tools::promote_args<T>::type float_next(const T&); | |
1109 | template <class T, class Policy> | |
1110 | typename tools::promote_args<T>::type float_prior(const T&, const Policy&); | |
1111 | template <class T> | |
1112 | typename tools::promote_args<T>::type float_prior(const T&); | |
1113 | template <class T, class U, class Policy> | |
1114 | typename tools::promote_args<T, U>::type float_distance(const T&, const U&, const Policy&); | |
1115 | template <class T, class U> | |
1116 | typename tools::promote_args<T, U>::type float_distance(const T&, const U&); | |
1117 | template <class T, class Policy> | |
1118 | typename tools::promote_args<T>::type float_advance(T val, int distance, const Policy& pol); | |
1119 | template <class T> | |
1120 | typename tools::promote_args<T>::type float_advance(const T& val, int distance); | |
1121 | ||
1122 | template <class T, class Policy> | |
1123 | typename tools::promote_args<T>::type ulp(const T& val, const Policy& pol); | |
1124 | template <class T> | |
1125 | typename tools::promote_args<T>::type ulp(const T& val); | |
1126 | ||
1127 | template <class T, class U> | |
1128 | typename tools::promote_args<T, U>::type relative_difference(const T&, const U&); | |
1129 | template <class T, class U> | |
1130 | typename tools::promote_args<T, U>::type epsilon_difference(const T&, const U&); | |
1131 | ||
1132 | template<class T> | |
11fdf7f2 | 1133 | BOOST_MATH_CONSTEXPR_TABLE_FUNCTION T unchecked_bernoulli_b2n(const std::size_t n); |
7c673cae FG |
1134 | template <class T, class Policy> |
1135 | T bernoulli_b2n(const int i, const Policy &pol); | |
1136 | template <class T> | |
1137 | T bernoulli_b2n(const int i); | |
1138 | template <class T, class OutputIterator, class Policy> | |
1139 | OutputIterator bernoulli_b2n(const int start_index, | |
1140 | const unsigned number_of_bernoullis_b2n, | |
1141 | OutputIterator out_it, | |
1142 | const Policy& pol); | |
1143 | template <class T, class OutputIterator> | |
1144 | OutputIterator bernoulli_b2n(const int start_index, | |
1145 | const unsigned number_of_bernoullis_b2n, | |
1146 | OutputIterator out_it); | |
1147 | template <class T, class Policy> | |
1148 | T tangent_t2n(const int i, const Policy &pol); | |
1149 | template <class T> | |
1150 | T tangent_t2n(const int i); | |
1151 | template <class T, class OutputIterator, class Policy> | |
1152 | OutputIterator tangent_t2n(const int start_index, | |
1153 | const unsigned number_of_bernoullis_b2n, | |
1154 | OutputIterator out_it, | |
1155 | const Policy& pol); | |
1156 | template <class T, class OutputIterator> | |
1157 | OutputIterator tangent_t2n(const int start_index, | |
1158 | const unsigned number_of_bernoullis_b2n, | |
1159 | OutputIterator out_it); | |
1160 | ||
92f5a8d4 TL |
1161 | // Lambert W: |
1162 | template <class T, class Policy> | |
1163 | typename boost::math::tools::promote_args<T>::type lambert_w0(T z, const Policy& pol); | |
1164 | template <class T> | |
1165 | typename boost::math::tools::promote_args<T>::type lambert_w0(T z); | |
1166 | template <class T, class Policy> | |
1167 | typename boost::math::tools::promote_args<T>::type lambert_wm1(T z, const Policy& pol); | |
1168 | template <class T> | |
1169 | typename boost::math::tools::promote_args<T>::type lambert_wm1(T z); | |
1170 | template <class T, class Policy> | |
1171 | typename boost::math::tools::promote_args<T>::type lambert_w0_prime(T z, const Policy& pol); | |
1172 | template <class T> | |
1173 | typename boost::math::tools::promote_args<T>::type lambert_w0_prime(T z); | |
1174 | template <class T, class Policy> | |
1175 | typename boost::math::tools::promote_args<T>::type lambert_wm1_prime(T z, const Policy& pol); | |
1176 | template <class T> | |
1177 | typename boost::math::tools::promote_args<T>::type lambert_wm1_prime(T z); | |
1178 | ||
1179 | // Hypergeometrics: | |
1180 | template <class T1, class T2> typename tools::promote_args<T1, T2>::type hypergeometric_1F0(T1 a, T2 z); | |
1181 | template <class T1, class T2, class Policy> typename tools::promote_args<T1, T2>::type hypergeometric_1F0(T1 a, T2 z, const Policy&); | |
1182 | ||
1183 | template <class T1, class T2> typename tools::promote_args<T1, T2>::type hypergeometric_0F1(T1 b, T2 z); | |
1184 | template <class T1, class T2, class Policy> typename tools::promote_args<T1, T2>::type hypergeometric_0F1(T1 b, T2 z, const Policy&); | |
1185 | ||
1186 | template <class T1, class T2, class T3> typename tools::promote_args<T1, T2, T3>::type hypergeometric_2F0(T1 a1, T2 a2, T3 z); | |
1187 | template <class T1, class T2, class T3, class Policy> typename tools::promote_args<T1, T2, T3>::type hypergeometric_2F0(T1 a1, T2 a2, T3 z, const Policy&); | |
1188 | ||
1189 | template <class T1, class T2, class T3> typename tools::promote_args<T1, T2, T3>::type hypergeometric_1F1(T1 a, T2 b, T3 z); | |
1190 | template <class T1, class T2, class T3, class Policy> typename tools::promote_args<T1, T2, T3>::type hypergeometric_1F1(T1 a, T2 b, T3 z, const Policy&); | |
1191 | ||
1192 | ||
7c673cae FG |
1193 | } // namespace math |
1194 | } // namespace boost | |
1195 | ||
1196 | #ifdef BOOST_HAS_LONG_LONG | |
1197 | #define BOOST_MATH_DETAIL_LL_FUNC(Policy)\ | |
1198 | \ | |
1199 | template <class T>\ | |
1200 | inline T modf(const T& v, boost::long_long_type* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ | |
1201 | \ | |
1202 | template <class T>\ | |
1203 | inline boost::long_long_type lltrunc(const T& v){ using boost::math::lltrunc; return lltrunc(v, Policy()); }\ | |
1204 | \ | |
1205 | template <class T>\ | |
1206 | inline boost::long_long_type llround(const T& v){ using boost::math::llround; return llround(v, Policy()); }\ | |
1207 | ||
1208 | #else | |
1209 | #define BOOST_MATH_DETAIL_LL_FUNC(Policy) | |
1210 | #endif | |
1211 | ||
92f5a8d4 TL |
1212 | #if !defined(BOOST_NO_CXX11_DECLTYPE) && !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_HDR_ARRAY) |
1213 | # define BOOST_MATH_DETAIL_11_FUNC(Policy)\ | |
1214 | template <class T, class U, class V>\ | |
1215 | inline typename boost::math::tools::promote_args<T, U>::type hypergeometric_1F1(const T& a, const U& b, const V& z)\ | |
1216 | { return boost::math::hypergeometric_1F1(a, b, z, Policy()); }\ | |
1217 | ||
1218 | #else | |
1219 | # define BOOST_MATH_DETAIL_11_FUNC(Policy) | |
1220 | #endif | |
1221 | ||
7c673cae FG |
1222 | #define BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS(Policy)\ |
1223 | \ | |
1224 | BOOST_MATH_DETAIL_LL_FUNC(Policy)\ | |
92f5a8d4 | 1225 | BOOST_MATH_DETAIL_11_FUNC(Policy)\ |
7c673cae FG |
1226 | \ |
1227 | template <class RT1, class RT2>\ | |
1228 | inline typename boost::math::tools::promote_args<RT1, RT2>::type \ | |
1229 | beta(RT1 a, RT2 b) { return ::boost::math::beta(a, b, Policy()); }\ | |
1230 | \ | |
1231 | template <class RT1, class RT2, class A>\ | |
1232 | inline typename boost::math::tools::promote_args<RT1, RT2, A>::type \ | |
1233 | beta(RT1 a, RT2 b, A x){ return ::boost::math::beta(a, b, x, Policy()); }\ | |
1234 | \ | |
1235 | template <class RT1, class RT2, class RT3>\ | |
1236 | inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ | |
1237 | betac(RT1 a, RT2 b, RT3 x) { return ::boost::math::betac(a, b, x, Policy()); }\ | |
1238 | \ | |
1239 | template <class RT1, class RT2, class RT3>\ | |
1240 | inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ | |
1241 | ibeta(RT1 a, RT2 b, RT3 x){ return ::boost::math::ibeta(a, b, x, Policy()); }\ | |
1242 | \ | |
1243 | template <class RT1, class RT2, class RT3>\ | |
1244 | inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ | |
1245 | ibetac(RT1 a, RT2 b, RT3 x){ return ::boost::math::ibetac(a, b, x, Policy()); }\ | |
1246 | \ | |
1247 | template <class T1, class T2, class T3, class T4>\ | |
1248 | inline typename boost::math::tools::promote_args<T1, T2, T3, T4>::type \ | |
1249 | ibeta_inv(T1 a, T2 b, T3 p, T4* py){ return ::boost::math::ibeta_inv(a, b, p, py, Policy()); }\ | |
1250 | \ | |
1251 | template <class RT1, class RT2, class RT3>\ | |
1252 | inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ | |
1253 | ibeta_inv(RT1 a, RT2 b, RT3 p){ return ::boost::math::ibeta_inv(a, b, p, Policy()); }\ | |
1254 | \ | |
1255 | template <class T1, class T2, class T3, class T4>\ | |
1256 | inline typename boost::math::tools::promote_args<T1, T2, T3, T4>::type \ | |
1257 | ibetac_inv(T1 a, T2 b, T3 q, T4* py){ return ::boost::math::ibetac_inv(a, b, q, py, Policy()); }\ | |
1258 | \ | |
1259 | template <class RT1, class RT2, class RT3>\ | |
1260 | inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ | |
1261 | ibeta_inva(RT1 a, RT2 b, RT3 p){ return ::boost::math::ibeta_inva(a, b, p, Policy()); }\ | |
1262 | \ | |
1263 | template <class T1, class T2, class T3>\ | |
1264 | inline typename boost::math::tools::promote_args<T1, T2, T3>::type \ | |
1265 | ibetac_inva(T1 a, T2 b, T3 q){ return ::boost::math::ibetac_inva(a, b, q, Policy()); }\ | |
1266 | \ | |
1267 | template <class RT1, class RT2, class RT3>\ | |
1268 | inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ | |
1269 | ibeta_invb(RT1 a, RT2 b, RT3 p){ return ::boost::math::ibeta_invb(a, b, p, Policy()); }\ | |
1270 | \ | |
1271 | template <class T1, class T2, class T3>\ | |
1272 | inline typename boost::math::tools::promote_args<T1, T2, T3>::type \ | |
1273 | ibetac_invb(T1 a, T2 b, T3 q){ return ::boost::math::ibetac_invb(a, b, q, Policy()); }\ | |
1274 | \ | |
1275 | template <class RT1, class RT2, class RT3>\ | |
1276 | inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ | |
1277 | ibetac_inv(RT1 a, RT2 b, RT3 q){ return ::boost::math::ibetac_inv(a, b, q, Policy()); }\ | |
1278 | \ | |
1279 | template <class RT1, class RT2, class RT3>\ | |
1280 | inline typename boost::math::tools::promote_args<RT1, RT2, RT3>::type \ | |
1281 | ibeta_derivative(RT1 a, RT2 b, RT3 x){ return ::boost::math::ibeta_derivative(a, b, x, Policy()); }\ | |
1282 | \ | |
1283 | template <class T> T binomial_coefficient(unsigned n, unsigned k){ return ::boost::math::binomial_coefficient<T, Policy>(n, k, Policy()); }\ | |
1284 | \ | |
1285 | template <class RT>\ | |
1286 | inline typename boost::math::tools::promote_args<RT>::type erf(RT z) { return ::boost::math::erf(z, Policy()); }\ | |
1287 | \ | |
1288 | template <class RT>\ | |
1289 | inline typename boost::math::tools::promote_args<RT>::type erfc(RT z){ return ::boost::math::erfc(z, Policy()); }\ | |
1290 | \ | |
1291 | template <class RT>\ | |
1292 | inline typename boost::math::tools::promote_args<RT>::type erf_inv(RT z) { return ::boost::math::erf_inv(z, Policy()); }\ | |
1293 | \ | |
1294 | template <class RT>\ | |
1295 | inline typename boost::math::tools::promote_args<RT>::type erfc_inv(RT z){ return ::boost::math::erfc_inv(z, Policy()); }\ | |
1296 | \ | |
1297 | using boost::math::legendre_next;\ | |
1298 | \ | |
1299 | template <class T>\ | |
1300 | inline typename boost::math::tools::promote_args<T>::type \ | |
1301 | legendre_p(int l, T x){ return ::boost::math::legendre_p(l, x, Policy()); }\ | |
b32b8144 FG |
1302 | \ |
1303 | template <class T>\ | |
1304 | inline typename boost::math::tools::promote_args<T>::type \ | |
1305 | legendre_p_prime(int l, T x){ return ::boost::math::legendre_p(l, x, Policy()); }\ | |
7c673cae FG |
1306 | \ |
1307 | template <class T>\ | |
1308 | inline typename boost::math::tools::promote_args<T>::type \ | |
1309 | legendre_q(unsigned l, T x){ return ::boost::math::legendre_q(l, x, Policy()); }\ | |
1310 | \ | |
1311 | using ::boost::math::legendre_next;\ | |
1312 | \ | |
1313 | template <class T>\ | |
1314 | inline typename boost::math::tools::promote_args<T>::type \ | |
1315 | legendre_p(int l, int m, T x){ return ::boost::math::legendre_p(l, m, x, Policy()); }\ | |
1316 | \ | |
1317 | using ::boost::math::laguerre_next;\ | |
1318 | \ | |
1319 | template <class T>\ | |
1320 | inline typename boost::math::tools::promote_args<T>::type \ | |
1321 | laguerre(unsigned n, T x){ return ::boost::math::laguerre(n, x, Policy()); }\ | |
1322 | \ | |
1323 | template <class T1, class T2>\ | |
1324 | inline typename boost::math::laguerre_result<T1, T2>::type \ | |
1325 | laguerre(unsigned n, T1 m, T2 x) { return ::boost::math::laguerre(n, m, x, Policy()); }\ | |
1326 | \ | |
1327 | template <class T>\ | |
1328 | inline typename boost::math::tools::promote_args<T>::type \ | |
1329 | hermite(unsigned n, T x){ return ::boost::math::hermite(n, x, Policy()); }\ | |
1330 | \ | |
1331 | using boost::math::hermite_next;\ | |
b32b8144 FG |
1332 | \ |
1333 | using boost::math::chebyshev_next;\ | |
1334 | \ | |
1335 | template<class Real>\ | |
1336 | Real chebyshev_t(unsigned n, Real const & x){ return ::boost::math::chebyshev_t(n, x, Policy()); }\ | |
1337 | \ | |
1338 | template<class Real>\ | |
1339 | Real chebyshev_u(unsigned n, Real const & x){ return ::boost::math::chebyshev_u(n, x, Policy()); }\ | |
1340 | \ | |
1341 | template<class Real>\ | |
1342 | Real chebyshev_t_prime(unsigned n, Real const & x){ return ::boost::math::chebyshev_t_prime(n, x, Policy()); }\ | |
1343 | \ | |
1344 | using ::boost::math::chebyshev_clenshaw_recurrence;\ | |
7c673cae FG |
1345 | \ |
1346 | template <class T1, class T2>\ | |
1347 | inline std::complex<typename boost::math::tools::promote_args<T1, T2>::type> \ | |
1348 | spherical_harmonic(unsigned n, int m, T1 theta, T2 phi){ return boost::math::spherical_harmonic(n, m, theta, phi, Policy()); }\ | |
1349 | \ | |
1350 | template <class T1, class T2>\ | |
1351 | inline typename boost::math::tools::promote_args<T1, T2>::type \ | |
1352 | spherical_harmonic_r(unsigned n, int m, T1 theta, T2 phi){ return ::boost::math::spherical_harmonic_r(n, m, theta, phi, Policy()); }\ | |
1353 | \ | |
1354 | template <class T1, class T2>\ | |
1355 | inline typename boost::math::tools::promote_args<T1, T2>::type \ | |
1356 | spherical_harmonic_i(unsigned n, int m, T1 theta, T2 phi){ return boost::math::spherical_harmonic_i(n, m, theta, phi, Policy()); }\ | |
1357 | \ | |
1358 | template <class T1, class T2, class Policy>\ | |
1359 | inline typename boost::math::tools::promote_args<T1, T2>::type \ | |
1360 | spherical_harmonic_i(unsigned n, int m, T1 theta, T2 phi, const Policy& pol);\ | |
1361 | \ | |
1362 | template <class T1, class T2, class T3>\ | |
1363 | inline typename boost::math::tools::promote_args<T1, T2, T3>::type \ | |
1364 | ellint_rf(T1 x, T2 y, T3 z){ return ::boost::math::ellint_rf(x, y, z, Policy()); }\ | |
1365 | \ | |
1366 | template <class T1, class T2, class T3>\ | |
1367 | inline typename boost::math::tools::promote_args<T1, T2, T3>::type \ | |
1368 | ellint_rd(T1 x, T2 y, T3 z){ return ::boost::math::ellint_rd(x, y, z, Policy()); }\ | |
1369 | \ | |
1370 | template <class T1, class T2>\ | |
1371 | inline typename boost::math::tools::promote_args<T1, T2>::type \ | |
1372 | ellint_rc(T1 x, T2 y){ return ::boost::math::ellint_rc(x, y, Policy()); }\ | |
1373 | \ | |
1374 | template <class T1, class T2, class T3, class T4>\ | |
1375 | inline typename boost::math::tools::promote_args<T1, T2, T3, T4>::type \ | |
1376 | ellint_rj(T1 x, T2 y, T3 z, T4 p){ return boost::math::ellint_rj(x, y, z, p, Policy()); }\ | |
1377 | \ | |
1378 | template <class T1, class T2, class T3>\ | |
1379 | inline typename boost::math::tools::promote_args<T1, T2, T3>::type \ | |
1380 | ellint_rg(T1 x, T2 y, T3 z){ return ::boost::math::ellint_rg(x, y, z, Policy()); }\ | |
1381 | \ | |
1382 | template <typename T>\ | |
1383 | inline typename boost::math::tools::promote_args<T>::type ellint_2(T k){ return boost::math::ellint_2(k, Policy()); }\ | |
1384 | \ | |
1385 | template <class T1, class T2>\ | |
1386 | inline typename boost::math::tools::promote_args<T1, T2>::type ellint_2(T1 k, T2 phi){ return boost::math::ellint_2(k, phi, Policy()); }\ | |
1387 | \ | |
1388 | template <typename T>\ | |
1389 | inline typename boost::math::tools::promote_args<T>::type ellint_d(T k){ return boost::math::ellint_d(k, Policy()); }\ | |
1390 | \ | |
1391 | template <class T1, class T2>\ | |
1392 | inline typename boost::math::tools::promote_args<T1, T2>::type ellint_d(T1 k, T2 phi){ return boost::math::ellint_d(k, phi, Policy()); }\ | |
1393 | \ | |
1394 | template <class T1, class T2>\ | |
1395 | inline typename boost::math::tools::promote_args<T1, T2>::type jacobi_zeta(T1 k, T2 phi){ return boost::math::jacobi_zeta(k, phi, Policy()); }\ | |
1396 | \ | |
1397 | template <class T1, class T2>\ | |
1398 | inline typename boost::math::tools::promote_args<T1, T2>::type heuman_lambda(T1 k, T2 phi){ return boost::math::heuman_lambda(k, phi, Policy()); }\ | |
1399 | \ | |
1400 | template <typename T>\ | |
1401 | inline typename boost::math::tools::promote_args<T>::type ellint_1(T k){ return boost::math::ellint_1(k, Policy()); }\ | |
1402 | \ | |
1403 | template <class T1, class T2>\ | |
1404 | inline typename boost::math::tools::promote_args<T1, T2>::type ellint_1(T1 k, T2 phi){ return boost::math::ellint_1(k, phi, Policy()); }\ | |
1405 | \ | |
1406 | template <class T1, class T2, class T3>\ | |
1407 | inline typename boost::math::tools::promote_args<T1, T2, T3>::type ellint_3(T1 k, T2 v, T3 phi){ return boost::math::ellint_3(k, v, phi, Policy()); }\ | |
1408 | \ | |
1409 | template <class T1, class T2>\ | |
1410 | inline typename boost::math::tools::promote_args<T1, T2>::type ellint_3(T1 k, T2 v){ return boost::math::ellint_3(k, v, Policy()); }\ | |
1411 | \ | |
1412 | using boost::math::max_factorial;\ | |
1413 | template <class RT>\ | |
1414 | inline RT factorial(unsigned int i) { return boost::math::factorial<RT>(i, Policy()); }\ | |
1415 | using boost::math::unchecked_factorial;\ | |
1416 | template <class RT>\ | |
1417 | inline RT double_factorial(unsigned i){ return boost::math::double_factorial<RT>(i, Policy()); }\ | |
1418 | template <class RT>\ | |
1419 | inline typename boost::math::tools::promote_args<RT>::type falling_factorial(RT x, unsigned n){ return boost::math::falling_factorial(x, n, Policy()); }\ | |
1420 | template <class RT>\ | |
1421 | inline typename boost::math::tools::promote_args<RT>::type rising_factorial(RT x, unsigned n){ return boost::math::rising_factorial(x, n, Policy()); }\ | |
1422 | \ | |
1423 | template <class RT>\ | |
1424 | inline typename boost::math::tools::promote_args<RT>::type tgamma(RT z){ return boost::math::tgamma(z, Policy()); }\ | |
1425 | \ | |
1426 | template <class RT>\ | |
1427 | inline typename boost::math::tools::promote_args<RT>::type tgamma1pm1(RT z){ return boost::math::tgamma1pm1(z, Policy()); }\ | |
1428 | \ | |
1429 | template <class RT1, class RT2>\ | |
1430 | inline typename boost::math::tools::promote_args<RT1, RT2>::type tgamma(RT1 a, RT2 z){ return boost::math::tgamma(a, z, Policy()); }\ | |
1431 | \ | |
1432 | template <class RT>\ | |
1433 | inline typename boost::math::tools::promote_args<RT>::type lgamma(RT z, int* sign){ return boost::math::lgamma(z, sign, Policy()); }\ | |
1434 | \ | |
1435 | template <class RT>\ | |
1436 | inline typename boost::math::tools::promote_args<RT>::type lgamma(RT x){ return boost::math::lgamma(x, Policy()); }\ | |
1437 | \ | |
1438 | template <class RT1, class RT2>\ | |
1439 | inline typename boost::math::tools::promote_args<RT1, RT2>::type tgamma_lower(RT1 a, RT2 z){ return boost::math::tgamma_lower(a, z, Policy()); }\ | |
1440 | \ | |
1441 | template <class RT1, class RT2>\ | |
1442 | inline typename boost::math::tools::promote_args<RT1, RT2>::type gamma_q(RT1 a, RT2 z){ return boost::math::gamma_q(a, z, Policy()); }\ | |
1443 | \ | |
1444 | template <class RT1, class RT2>\ | |
1445 | inline typename boost::math::tools::promote_args<RT1, RT2>::type gamma_p(RT1 a, RT2 z){ return boost::math::gamma_p(a, z, Policy()); }\ | |
1446 | \ | |
1447 | template <class T1, class T2>\ | |
1448 | inline typename boost::math::tools::promote_args<T1, T2>::type tgamma_delta_ratio(T1 z, T2 delta){ return boost::math::tgamma_delta_ratio(z, delta, Policy()); }\ | |
1449 | \ | |
1450 | template <class T1, class T2>\ | |
1451 | inline typename boost::math::tools::promote_args<T1, T2>::type tgamma_ratio(T1 a, T2 b) { return boost::math::tgamma_ratio(a, b, Policy()); }\ | |
1452 | \ | |
1453 | template <class T1, class T2>\ | |
1454 | inline typename boost::math::tools::promote_args<T1, T2>::type gamma_p_derivative(T1 a, T2 x){ return boost::math::gamma_p_derivative(a, x, Policy()); }\ | |
1455 | \ | |
1456 | template <class T1, class T2>\ | |
1457 | inline typename boost::math::tools::promote_args<T1, T2>::type gamma_p_inv(T1 a, T2 p){ return boost::math::gamma_p_inv(a, p, Policy()); }\ | |
1458 | \ | |
1459 | template <class T1, class T2>\ | |
1460 | inline typename boost::math::tools::promote_args<T1, T2>::type gamma_p_inva(T1 a, T2 p){ return boost::math::gamma_p_inva(a, p, Policy()); }\ | |
1461 | \ | |
1462 | template <class T1, class T2>\ | |
1463 | inline typename boost::math::tools::promote_args<T1, T2>::type gamma_q_inv(T1 a, T2 q){ return boost::math::gamma_q_inv(a, q, Policy()); }\ | |
1464 | \ | |
1465 | template <class T1, class T2>\ | |
1466 | inline typename boost::math::tools::promote_args<T1, T2>::type gamma_q_inva(T1 a, T2 q){ return boost::math::gamma_q_inva(a, q, Policy()); }\ | |
1467 | \ | |
1468 | template <class T>\ | |
1469 | inline typename boost::math::tools::promote_args<T>::type digamma(T x){ return boost::math::digamma(x, Policy()); }\ | |
1470 | \ | |
1471 | template <class T>\ | |
1472 | inline typename boost::math::tools::promote_args<T>::type trigamma(T x){ return boost::math::trigamma(x, Policy()); }\ | |
1473 | \ | |
1474 | template <class T>\ | |
1475 | inline typename boost::math::tools::promote_args<T>::type polygamma(int n, T x){ return boost::math::polygamma(n, x, Policy()); }\ | |
1476 | \ | |
1477 | template <class T1, class T2>\ | |
1478 | inline typename boost::math::tools::promote_args<T1, T2>::type \ | |
1479 | hypot(T1 x, T2 y){ return boost::math::hypot(x, y, Policy()); }\ | |
1480 | \ | |
1481 | template <class RT>\ | |
1482 | inline typename boost::math::tools::promote_args<RT>::type cbrt(RT z){ return boost::math::cbrt(z, Policy()); }\ | |
1483 | \ | |
1484 | template <class T>\ | |
1485 | inline typename boost::math::tools::promote_args<T>::type log1p(T x){ return boost::math::log1p(x, Policy()); }\ | |
1486 | \ | |
1487 | template <class T>\ | |
1488 | inline typename boost::math::tools::promote_args<T>::type log1pmx(T x){ return boost::math::log1pmx(x, Policy()); }\ | |
1489 | \ | |
1490 | template <class T>\ | |
1491 | inline typename boost::math::tools::promote_args<T>::type expm1(T x){ return boost::math::expm1(x, Policy()); }\ | |
1492 | \ | |
1493 | template <class T1, class T2>\ | |
1494 | inline typename boost::math::tools::promote_args<T1, T2>::type \ | |
1495 | powm1(const T1 a, const T2 z){ return boost::math::powm1(a, z, Policy()); }\ | |
1496 | \ | |
1497 | template <class T>\ | |
1498 | inline typename boost::math::tools::promote_args<T>::type sqrt1pm1(const T& val){ return boost::math::sqrt1pm1(val, Policy()); }\ | |
1499 | \ | |
1500 | template <class T>\ | |
1501 | inline typename boost::math::tools::promote_args<T>::type sinc_pi(T x){ return boost::math::sinc_pi(x, Policy()); }\ | |
1502 | \ | |
1503 | template <class T>\ | |
1504 | inline typename boost::math::tools::promote_args<T>::type sinhc_pi(T x){ return boost::math::sinhc_pi(x, Policy()); }\ | |
1505 | \ | |
1506 | template<typename T>\ | |
1507 | inline typename boost::math::tools::promote_args<T>::type asinh(const T x){ return boost::math::asinh(x, Policy()); }\ | |
1508 | \ | |
1509 | template<typename T>\ | |
1510 | inline typename boost::math::tools::promote_args<T>::type acosh(const T x){ return boost::math::acosh(x, Policy()); }\ | |
1511 | \ | |
1512 | template<typename T>\ | |
1513 | inline typename boost::math::tools::promote_args<T>::type atanh(const T x){ return boost::math::atanh(x, Policy()); }\ | |
1514 | \ | |
1515 | template <class T1, class T2>\ | |
1516 | inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type cyl_bessel_j(T1 v, T2 x)\ | |
1517 | { return boost::math::cyl_bessel_j(v, x, Policy()); }\ | |
1518 | \ | |
1519 | template <class T1, class T2>\ | |
1520 | inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type cyl_bessel_j_prime(T1 v, T2 x)\ | |
1521 | { return boost::math::cyl_bessel_j_prime(v, x, Policy()); }\ | |
1522 | \ | |
1523 | template <class T>\ | |
1524 | inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type sph_bessel(unsigned v, T x)\ | |
1525 | { return boost::math::sph_bessel(v, x, Policy()); }\ | |
1526 | \ | |
1527 | template <class T>\ | |
1528 | inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type sph_bessel_prime(unsigned v, T x)\ | |
1529 | { return boost::math::sph_bessel_prime(v, x, Policy()); }\ | |
1530 | \ | |
1531 | template <class T1, class T2>\ | |
1532 | inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ | |
1533 | cyl_bessel_i(T1 v, T2 x) { return boost::math::cyl_bessel_i(v, x, Policy()); }\ | |
1534 | \ | |
1535 | template <class T1, class T2>\ | |
1536 | inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ | |
1537 | cyl_bessel_i_prime(T1 v, T2 x) { return boost::math::cyl_bessel_i_prime(v, x, Policy()); }\ | |
1538 | \ | |
1539 | template <class T1, class T2>\ | |
1540 | inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ | |
1541 | cyl_bessel_k(T1 v, T2 x) { return boost::math::cyl_bessel_k(v, x, Policy()); }\ | |
1542 | \ | |
1543 | template <class T1, class T2>\ | |
1544 | inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ | |
1545 | cyl_bessel_k_prime(T1 v, T2 x) { return boost::math::cyl_bessel_k_prime(v, x, Policy()); }\ | |
1546 | \ | |
1547 | template <class T1, class T2>\ | |
1548 | inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ | |
1549 | cyl_neumann(T1 v, T2 x){ return boost::math::cyl_neumann(v, x, Policy()); }\ | |
1550 | \ | |
1551 | template <class T1, class T2>\ | |
1552 | inline typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type \ | |
1553 | cyl_neumann_prime(T1 v, T2 x){ return boost::math::cyl_neumann_prime(v, x, Policy()); }\ | |
1554 | \ | |
1555 | template <class T>\ | |
1556 | inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type \ | |
1557 | sph_neumann(unsigned v, T x){ return boost::math::sph_neumann(v, x, Policy()); }\ | |
1558 | \ | |
1559 | template <class T>\ | |
1560 | inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type \ | |
1561 | sph_neumann_prime(unsigned v, T x){ return boost::math::sph_neumann_prime(v, x, Policy()); }\ | |
1562 | \ | |
1563 | template <class T>\ | |
1564 | inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type cyl_bessel_j_zero(T v, int m)\ | |
1565 | { return boost::math::cyl_bessel_j_zero(v, m, Policy()); }\ | |
1566 | \ | |
1567 | template <class OutputIterator, class T>\ | |
1568 | inline void cyl_bessel_j_zero(T v,\ | |
1569 | int start_index,\ | |
1570 | unsigned number_of_zeros,\ | |
1571 | OutputIterator out_it)\ | |
1572 | { boost::math::cyl_bessel_j_zero(v, start_index, number_of_zeros, out_it, Policy()); }\ | |
1573 | \ | |
1574 | template <class T>\ | |
1575 | inline typename boost::math::detail::bessel_traits<T, T, Policy >::result_type cyl_neumann_zero(T v, int m)\ | |
1576 | { return boost::math::cyl_neumann_zero(v, m, Policy()); }\ | |
1577 | \ | |
1578 | template <class OutputIterator, class T>\ | |
1579 | inline void cyl_neumann_zero(T v,\ | |
1580 | int start_index,\ | |
1581 | unsigned number_of_zeros,\ | |
1582 | OutputIterator out_it)\ | |
1583 | { boost::math::cyl_neumann_zero(v, start_index, number_of_zeros, out_it, Policy()); }\ | |
1584 | \ | |
1585 | template <class T>\ | |
20effc67 | 1586 | inline typename boost::math::tools::promote_args<T>::type sin_pi(T x){ return boost::math::sin_pi(x, Policy()); }\ |
7c673cae FG |
1587 | \ |
1588 | template <class T>\ | |
20effc67 | 1589 | inline typename boost::math::tools::promote_args<T>::type cos_pi(T x){ return boost::math::cos_pi(x, Policy()); }\ |
7c673cae FG |
1590 | \ |
1591 | using boost::math::fpclassify;\ | |
1592 | using boost::math::isfinite;\ | |
1593 | using boost::math::isinf;\ | |
1594 | using boost::math::isnan;\ | |
1595 | using boost::math::isnormal;\ | |
1596 | using boost::math::signbit;\ | |
1597 | using boost::math::sign;\ | |
1598 | using boost::math::copysign;\ | |
1599 | using boost::math::changesign;\ | |
1600 | \ | |
1601 | template <class T, class U>\ | |
1602 | inline typename boost::math::tools::promote_args<T,U>::type expint(T const& z, U const& u)\ | |
1603 | { return boost::math::expint(z, u, Policy()); }\ | |
1604 | \ | |
1605 | template <class T>\ | |
1606 | inline typename boost::math::tools::promote_args<T>::type expint(T z){ return boost::math::expint(z, Policy()); }\ | |
1607 | \ | |
1608 | template <class T>\ | |
1609 | inline typename boost::math::tools::promote_args<T>::type zeta(T s){ return boost::math::zeta(s, Policy()); }\ | |
1610 | \ | |
1611 | template <class T>\ | |
1612 | inline T round(const T& v){ using boost::math::round; return round(v, Policy()); }\ | |
1613 | \ | |
1614 | template <class T>\ | |
1615 | inline int iround(const T& v){ using boost::math::iround; return iround(v, Policy()); }\ | |
1616 | \ | |
1617 | template <class T>\ | |
1618 | inline long lround(const T& v){ using boost::math::lround; return lround(v, Policy()); }\ | |
1619 | \ | |
1620 | template <class T>\ | |
1621 | inline T trunc(const T& v){ using boost::math::trunc; return trunc(v, Policy()); }\ | |
1622 | \ | |
1623 | template <class T>\ | |
1624 | inline int itrunc(const T& v){ using boost::math::itrunc; return itrunc(v, Policy()); }\ | |
1625 | \ | |
1626 | template <class T>\ | |
1627 | inline long ltrunc(const T& v){ using boost::math::ltrunc; return ltrunc(v, Policy()); }\ | |
1628 | \ | |
1629 | template <class T>\ | |
1630 | inline T modf(const T& v, T* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ | |
1631 | \ | |
1632 | template <class T>\ | |
1633 | inline T modf(const T& v, int* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ | |
1634 | \ | |
1635 | template <class T>\ | |
1636 | inline T modf(const T& v, long* ipart){ using boost::math::modf; return modf(v, ipart, Policy()); }\ | |
1637 | \ | |
1638 | template <int N, class T>\ | |
1639 | inline typename boost::math::tools::promote_args<T>::type pow(T v){ return boost::math::pow<N>(v, Policy()); }\ | |
1640 | \ | |
1641 | template <class T> T nextafter(const T& a, const T& b){ return boost::math::nextafter(a, b, Policy()); }\ | |
1642 | template <class T> T float_next(const T& a){ return boost::math::float_next(a, Policy()); }\ | |
1643 | template <class T> T float_prior(const T& a){ return boost::math::float_prior(a, Policy()); }\ | |
1644 | template <class T> T float_distance(const T& a, const T& b){ return boost::math::float_distance(a, b, Policy()); }\ | |
1645 | template <class T> T ulp(const T& a){ return boost::math::ulp(a, Policy()); }\ | |
1646 | \ | |
1647 | template <class RT1, class RT2>\ | |
1648 | inline typename boost::math::tools::promote_args<RT1, RT2>::type owens_t(RT1 a, RT2 z){ return boost::math::owens_t(a, z, Policy()); }\ | |
1649 | \ | |
1650 | template <class T1, class T2>\ | |
1651 | inline std::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> cyl_hankel_1(T1 v, T2 x)\ | |
1652 | { return boost::math::cyl_hankel_1(v, x, Policy()); }\ | |
1653 | \ | |
1654 | template <class T1, class T2>\ | |
1655 | inline std::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> cyl_hankel_2(T1 v, T2 x)\ | |
1656 | { return boost::math::cyl_hankel_2(v, x, Policy()); }\ | |
1657 | \ | |
1658 | template <class T1, class T2>\ | |
1659 | inline std::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> sph_hankel_1(T1 v, T2 x)\ | |
1660 | { return boost::math::sph_hankel_1(v, x, Policy()); }\ | |
1661 | \ | |
1662 | template <class T1, class T2>\ | |
1663 | inline std::complex<typename boost::math::detail::bessel_traits<T1, T2, Policy >::result_type> sph_hankel_2(T1 v, T2 x)\ | |
1664 | { return boost::math::sph_hankel_2(v, x, Policy()); }\ | |
1665 | \ | |
1666 | template <class T>\ | |
1667 | inline typename boost::math::tools::promote_args<T>::type jacobi_elliptic(T k, T theta, T* pcn, T* pdn)\ | |
1668 | { return boost::math::jacobi_elliptic(k, theta, pcn, pdn, Policy()); }\ | |
1669 | \ | |
1670 | template <class U, class T>\ | |
1671 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_sn(U k, T theta)\ | |
1672 | { return boost::math::jacobi_sn(k, theta, Policy()); }\ | |
1673 | \ | |
1674 | template <class T, class U>\ | |
1675 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_cn(T k, U theta)\ | |
1676 | { return boost::math::jacobi_cn(k, theta, Policy()); }\ | |
1677 | \ | |
1678 | template <class T, class U>\ | |
1679 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_dn(T k, U theta)\ | |
1680 | { return boost::math::jacobi_dn(k, theta, Policy()); }\ | |
1681 | \ | |
1682 | template <class T, class U>\ | |
1683 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_cd(T k, U theta)\ | |
1684 | { return boost::math::jacobi_cd(k, theta, Policy()); }\ | |
1685 | \ | |
1686 | template <class T, class U>\ | |
1687 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_dc(T k, U theta)\ | |
1688 | { return boost::math::jacobi_dc(k, theta, Policy()); }\ | |
1689 | \ | |
1690 | template <class T, class U>\ | |
1691 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_ns(T k, U theta)\ | |
1692 | { return boost::math::jacobi_ns(k, theta, Policy()); }\ | |
1693 | \ | |
1694 | template <class T, class U>\ | |
1695 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_sd(T k, U theta)\ | |
1696 | { return boost::math::jacobi_sd(k, theta, Policy()); }\ | |
1697 | \ | |
1698 | template <class T, class U>\ | |
1699 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_ds(T k, U theta)\ | |
1700 | { return boost::math::jacobi_ds(k, theta, Policy()); }\ | |
1701 | \ | |
1702 | template <class T, class U>\ | |
1703 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_nc(T k, U theta)\ | |
1704 | { return boost::math::jacobi_nc(k, theta, Policy()); }\ | |
1705 | \ | |
1706 | template <class T, class U>\ | |
1707 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_nd(T k, U theta)\ | |
1708 | { return boost::math::jacobi_nd(k, theta, Policy()); }\ | |
1709 | \ | |
1710 | template <class T, class U>\ | |
1711 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_sc(T k, U theta)\ | |
1712 | { return boost::math::jacobi_sc(k, theta, Policy()); }\ | |
1713 | \ | |
1714 | template <class T, class U>\ | |
1715 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_cs(T k, U theta)\ | |
1716 | { return boost::math::jacobi_cs(k, theta, Policy()); }\ | |
1717 | \ | |
20effc67 TL |
1718 | template <class T, class U>\ |
1719 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_theta1(T z, U q)\ | |
1720 | { return boost::math::jacobi_theta1(z, q, Policy()); }\ | |
1721 | \ | |
1722 | template <class T, class U>\ | |
1723 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_theta2(T z, U q)\ | |
1724 | { return boost::math::jacobi_theta2(z, q, Policy()); }\ | |
1725 | \ | |
1726 | template <class T, class U>\ | |
1727 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_theta3(T z, U q)\ | |
1728 | { return boost::math::jacobi_theta3(z, q, Policy()); }\ | |
1729 | \ | |
1730 | template <class T, class U>\ | |
1731 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_theta4(T z, U q)\ | |
1732 | { return boost::math::jacobi_theta4(z, q, Policy()); }\ | |
1733 | \ | |
1734 | template <class T, class U>\ | |
1735 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_theta1tau(T z, U q)\ | |
1736 | { return boost::math::jacobi_theta1tau(z, q, Policy()); }\ | |
1737 | \ | |
1738 | template <class T, class U>\ | |
1739 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_theta2tau(T z, U q)\ | |
1740 | { return boost::math::jacobi_theta2tau(z, q, Policy()); }\ | |
1741 | \ | |
1742 | template <class T, class U>\ | |
1743 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_theta3tau(T z, U q)\ | |
1744 | { return boost::math::jacobi_theta3tau(z, q, Policy()); }\ | |
1745 | \ | |
1746 | template <class T, class U>\ | |
1747 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_theta4tau(T z, U q)\ | |
1748 | { return boost::math::jacobi_theta4tau(z, q, Policy()); }\ | |
1749 | \ | |
1750 | template <class T, class U>\ | |
1751 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_theta3m1(T z, U q)\ | |
1752 | { return boost::math::jacobi_theta3m1(z, q, Policy()); }\ | |
1753 | \ | |
1754 | template <class T, class U>\ | |
1755 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_theta4m1(T z, U q)\ | |
1756 | { return boost::math::jacobi_theta4m1(z, q, Policy()); }\ | |
1757 | \ | |
1758 | template <class T, class U>\ | |
1759 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_theta3m1tau(T z, U q)\ | |
1760 | { return boost::math::jacobi_theta3m1tau(z, q, Policy()); }\ | |
1761 | \ | |
1762 | template <class T, class U>\ | |
1763 | inline typename boost::math::tools::promote_args<T, U>::type jacobi_theta4m1tau(T z, U q)\ | |
1764 | { return boost::math::jacobi_theta4m1tau(z, q, Policy()); }\ | |
1765 | \ | |
7c673cae FG |
1766 | template <class T>\ |
1767 | inline typename boost::math::tools::promote_args<T>::type airy_ai(T x)\ | |
1768 | { return boost::math::airy_ai(x, Policy()); }\ | |
1769 | \ | |
1770 | template <class T>\ | |
1771 | inline typename boost::math::tools::promote_args<T>::type airy_bi(T x)\ | |
1772 | { return boost::math::airy_bi(x, Policy()); }\ | |
1773 | \ | |
1774 | template <class T>\ | |
1775 | inline typename boost::math::tools::promote_args<T>::type airy_ai_prime(T x)\ | |
1776 | { return boost::math::airy_ai_prime(x, Policy()); }\ | |
1777 | \ | |
1778 | template <class T>\ | |
1779 | inline typename boost::math::tools::promote_args<T>::type airy_bi_prime(T x)\ | |
1780 | { return boost::math::airy_bi_prime(x, Policy()); }\ | |
1781 | \ | |
1782 | template <class T>\ | |
1783 | inline T airy_ai_zero(int m)\ | |
1784 | { return boost::math::airy_ai_zero<T>(m, Policy()); }\ | |
1785 | template <class T, class OutputIterator>\ | |
1786 | OutputIterator airy_ai_zero(int start_index, unsigned number_of_zeros, OutputIterator out_it)\ | |
1787 | { return boost::math::airy_ai_zero<T>(start_index, number_of_zeros, out_it, Policy()); }\ | |
1788 | \ | |
1789 | template <class T>\ | |
1790 | inline T airy_bi_zero(int m)\ | |
1791 | { return boost::math::airy_bi_zero<T>(m, Policy()); }\ | |
1792 | template <class T, class OutputIterator>\ | |
1793 | OutputIterator airy_bi_zero(int start_index, unsigned number_of_zeros, OutputIterator out_it)\ | |
1794 | { return boost::math::airy_bi_zero<T>(start_index, number_of_zeros, out_it, Policy()); }\ | |
1795 | \ | |
1796 | template <class T>\ | |
1797 | T bernoulli_b2n(const int i)\ | |
1798 | { return boost::math::bernoulli_b2n<T>(i, Policy()); }\ | |
1799 | template <class T, class OutputIterator>\ | |
1800 | OutputIterator bernoulli_b2n(int start_index, unsigned number_of_bernoullis_b2n, OutputIterator out_it)\ | |
1801 | { return boost::math::bernoulli_b2n<T>(start_index, number_of_bernoullis_b2n, out_it, Policy()); }\ | |
1802 | \ | |
1803 | template <class T>\ | |
1804 | T tangent_t2n(const int i)\ | |
1805 | { return boost::math::tangent_t2n<T>(i, Policy()); }\ | |
1806 | template <class T, class OutputIterator>\ | |
1807 | OutputIterator tangent_t2n(int start_index, unsigned number_of_bernoullis_b2n, OutputIterator out_it)\ | |
1808 | { return boost::math::tangent_t2n<T>(start_index, number_of_bernoullis_b2n, out_it, Policy()); }\ | |
1809 | \ | |
92f5a8d4 TL |
1810 | template <class T> inline typename boost::math::tools::promote_args<T>::type lambert_w0(T z) { return boost::math::lambert_w0(z, Policy()); }\ |
1811 | template <class T> inline typename boost::math::tools::promote_args<T>::type lambert_wm1(T z) { return boost::math::lambert_w0(z, Policy()); }\ | |
1812 | template <class T> inline typename boost::math::tools::promote_args<T>::type lambert_w0_prime(T z) { return boost::math::lambert_w0(z, Policy()); }\ | |
1813 | template <class T> inline typename boost::math::tools::promote_args<T>::type lambert_wm1_prime(T z) { return boost::math::lambert_w0(z, Policy()); }\ | |
1814 | \ | |
1815 | template <class T, class U>\ | |
1816 | inline typename boost::math::tools::promote_args<T, U>::type hypergeometric_1F0(const T& a, const U& z)\ | |
1817 | { return boost::math::hypergeometric_1F0(a, z, Policy()); }\ | |
1818 | \ | |
1819 | template <class T, class U>\ | |
1820 | inline typename boost::math::tools::promote_args<T, U>::type hypergeometric_0F1(const T& a, const U& z)\ | |
1821 | { return boost::math::hypergeometric_0F1(a, z, Policy()); }\ | |
1822 | \ | |
1823 | template <class T, class U, class V>\ | |
1824 | inline typename boost::math::tools::promote_args<T, U>::type hypergeometric_2F0(const T& a1, const U& a2, const V& z)\ | |
1825 | { return boost::math::hypergeometric_2F0(a1, a2, z, Policy()); }\ | |
1826 | \ | |
1827 | ||
7c673cae FG |
1828 | |
1829 | ||
1830 | ||
1831 | ||
1832 | ||
1833 | #endif // BOOST_MATH_SPECIAL_MATH_FWD_HPP |