-
Notifications
You must be signed in to change notification settings - Fork 1
/
Copy pathlibarb_s7.c
467 lines (400 loc) · 30.9 KB
/
libarb_s7.c
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <gmp.h>
#include <mpfr.h>
#include <mpc.h>
#include <arb.h>
#include <acb.h>
#include <acb_hypgeom.h>
#include <acb_elliptic.h>
#define WITH_GMP 1
#include "s7.h"
static void s7_number_to_acb(s7_scheme *sc, acb_t z, s7_pointer x, slong prec)
{
if (s7_is_big_real(x))
{
arf_set_mpfr((arf_struct *)acb_realref(z), *s7_big_real(x));
arb_zero(acb_imagref(z));
}
else
{
if (s7_is_big_integer(x))
{
arf_set_mpz((arf_struct *)acb_realref(z), *s7_big_integer(x));
arb_zero(acb_imagref(z));
}
else
{
if (s7_is_integer(x))
acb_set_si(z, s7_integer(x));
else
{
if (s7_is_big_ratio(x))
{
mpfr_t mq;
mpfr_init2(mq, prec);
mpfr_set_q(mq, *s7_big_ratio(x), MPFR_RNDN);
arf_set_mpfr((arf_struct *)acb_realref(z), mq);
arb_zero(acb_imagref(z));
mpfr_clear(mq);
}
else
{
if (s7_is_real(x))
acb_set_d(z, s7_real(x));
else
{
if (s7_is_big_complex(x))
{
arf_set_mpfr((arf_struct *)acb_realref(z), mpc_realref(*s7_big_complex(x)));
arf_set_mpfr((arf_struct *)acb_imagref(z), mpc_imagref(*s7_big_complex(x)));
}
else
{
if (s7_is_complex(x))
acb_set_d_d(z, s7_real_part(x), s7_imag_part(x));
}}}}}}
}
static s7_pointer acb_to_s7(s7_scheme *sc, acb_t w, slong prec)
{
s7_pointer result;
if (arb_is_zero(acb_imagref(w)))
{
mpfr_t mp;
mpfr_init2(mp, prec);
arf_get_mpfr(mp, (const arf_struct *)acb_realref(w), MPFR_RNDN);
result = s7_make_big_real(sc, &mp);
mpfr_clear(mp);
}
else
{
mpc_t mp;
mpc_init2(mp, prec);
arf_get_mpfr(mpc_realref(mp), (const arf_struct *)acb_realref(w), MPFR_RNDN);
arf_get_mpfr(mpc_imagref(mp), (const arf_struct *)acb_imagref(w), MPFR_RNDN);
result = s7_make_big_complex(sc, &mp);
mpc_clear(mp);
}
return(result);
}
static acb_t nu, w, z, b;
/* these should be local to s7_scheme someday via a void* list or something */
/* -------------------------------- aci -------------------------------- */
static s7_pointer aci(s7_scheme *sc, s7_pointer args, const char *b_name, void acb_func(acb_t res, const acb_t z, slong prec))
{
s7_pointer n;
slong prec;
prec = s7_integer(s7_starlet_ref(sc, s7_make_symbol(sc, "bignum-precision")));
n = s7_car(args);
if (!s7_is_number(n))
return(s7_wrong_type_arg_error(sc, b_name, 1, n, "number"));
s7_number_to_acb(sc, z, n, prec);
acb_func(w, z, prec);
return(acb_to_s7(sc, w, prec));
}
static s7_pointer a_erf(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_erf", acb_hypgeom_erf));}
static s7_pointer a_erfc(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_erfc", acb_hypgeom_erfc));}
static s7_pointer a_erfi(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_erfi", acb_hypgeom_erfi));}
static s7_pointer a_ei(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_ei", acb_hypgeom_ei));}
static s7_pointer a_si(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_si", acb_hypgeom_si));}
static s7_pointer a_ci(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_ci", acb_hypgeom_ci));}
static s7_pointer a_shi(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_shi", acb_hypgeom_shi));}
static s7_pointer a_chi(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_chi", acb_hypgeom_chi));}
static s7_pointer a_erf_1f1a(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_erf_1f1a", acb_hypgeom_erf_1f1a));}
static s7_pointer a_erf_1f1b(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_erf_1f1b", acb_hypgeom_erf_1f1b));}
static s7_pointer a_ei_asymp(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_ei_asymp", acb_hypgeom_ei_asymp));}
static s7_pointer a_ei_2f2(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_ei_2f2", acb_hypgeom_ei_2f2));}
static s7_pointer a_si_asymp(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_si_asymp", acb_hypgeom_si_asymp));}
static s7_pointer a_si_1f2(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_si_1f2", acb_hypgeom_si_1f2));}
static s7_pointer a_ci_asymp(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_ci_asymp", acb_hypgeom_ci_asymp));}
static s7_pointer a_ci_2f3(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_ci_2f3", acb_hypgeom_ci_2f3));}
static s7_pointer a_chi_asymp(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_chi_asymp", acb_hypgeom_chi_asymp));}
static s7_pointer a_chi_2f3(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_chi_2f3", acb_hypgeom_chi_2f3));}
static s7_pointer a_dilog_bernoulli(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_dilog_bernoulli", acb_hypgeom_dilog_bernoulli));}
static s7_pointer a_dilog_zero_taylor(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_dilog_zero_taylor", acb_hypgeom_dilog_zero_taylor));}
static s7_pointer a_dilog_zero(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_dilog_zero", acb_hypgeom_dilog_zero));}
static s7_pointer a_dilog(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_dilog", acb_hypgeom_dilog));}
static s7_pointer a_elliptic_k(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_elliptic_k", acb_elliptic_k));}
static s7_pointer a_elliptic_e(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_elliptic_e", acb_elliptic_e));}
static s7_pointer a_elliptic_rc1(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_elliptic_rc1", acb_elliptic_rc1));}
static s7_pointer a_gamma(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_gamma", acb_gamma));}
static s7_pointer a_rgamma(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_rgamma", acb_rgamma));}
static s7_pointer a_lgamma(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_lgamma", acb_lgamma));}
static s7_pointer a_log_sin_pi(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_log_sin_pi", acb_log_sin_pi));}
static s7_pointer a_digamma(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_digamma", acb_digamma));}
static s7_pointer a_zeta(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_zeta", acb_zeta));}
static s7_pointer a_log_barnes_g(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_log_barnes_g", acb_log_barnes_g));}
static s7_pointer a_barnes_g(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_barnes_g", acb_barnes_g));}
static s7_pointer a_sinc(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_sinc", acb_sinc));}
static s7_pointer a_sinc_pi(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_sinc_pi", acb_sinc_pi));}
static s7_pointer a_agm1(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_agm1", acb_agm1));}
/* -------------------------------- acci -------------------------------- */
static s7_pointer acci(s7_scheme *sc, s7_pointer args, const char *b_name, void acb_func(acb_t res, const acb_t nu, const acb_t z, slong prec))
{
s7_pointer n, x;
slong prec;
prec = s7_integer(s7_starlet_ref(sc, s7_make_symbol(sc, "bignum-precision")));
n = s7_car(args);
if (!s7_is_number(n))
return(s7_wrong_type_arg_error(sc, b_name, 1, n, "number"));
s7_number_to_acb(sc, nu, n, prec);
x = s7_cadr(args);
if (!s7_is_number(x))
return(s7_wrong_type_arg_error(sc, b_name, 2, x, "number"));
s7_number_to_acb(sc, z, x, prec);
acb_func(w, nu, z, prec);
return(acb_to_s7(sc, w, prec));
}
static s7_pointer a_bessel_j(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_j", acb_hypgeom_bessel_j));}
static s7_pointer a_bessel_y(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_y", acb_hypgeom_bessel_y));}
static s7_pointer a_bessel_i(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_i", acb_hypgeom_bessel_i));}
static s7_pointer a_bessel_k(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_k", acb_hypgeom_bessel_k));}
static s7_pointer a_hermite_h(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_hermite_h", acb_hypgeom_hermite_h));}
static s7_pointer a_chebyshev_t(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_chebyshev_t", acb_hypgeom_chebyshev_t));}
static s7_pointer a_chebyshev_u(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_chebyshev_u", acb_hypgeom_chebyshev_u));}
static s7_pointer a_bessel_j_0f1(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_j_0f1", acb_hypgeom_bessel_j_0f1));}
static s7_pointer a_bessel_j_asymp(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_j_asymp", acb_hypgeom_bessel_j_asymp));}
static s7_pointer a_bessel_i_scaled(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_i_scaled", acb_hypgeom_bessel_i_scaled));}
static s7_pointer a_bessel_k_scaled(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_k_scaled", acb_hypgeom_bessel_k_scaled));}
static s7_pointer a_expint(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_expint", acb_hypgeom_expint));}
static s7_pointer a_elliptic_pi(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_elliptic_pi", acb_elliptic_pi));}
static s7_pointer a_elliptic_p(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_elliptic_p", acb_elliptic_p));}
static s7_pointer a_elliptic_zeta(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_elliptic_zeta", acb_elliptic_zeta));}
static s7_pointer a_elliptic_sigma(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_elliptic_sigma", acb_elliptic_sigma));}
static s7_pointer a_elliptic_inv_p(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_elliptic_inv_p", acb_elliptic_inv_p));}
static s7_pointer a_hurwitz_zeta(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_hurwitz_zeta", acb_hurwitz_zeta));}
static s7_pointer a_polygamma(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_polygamma", acb_polygamma));}
static s7_pointer a_polylog(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_polylog", acb_polylog));}
static s7_pointer a_agm(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_agm", acb_agm));}
static s7_pointer a_dilog_continuation(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_dilog_continuation", acb_hypgeom_dilog_continuation));}
/* -------------------------------- accii -------------------------------- */
static s7_pointer accii(s7_scheme *sc, s7_pointer args, const char *b_name, void acb_func(acb_t res, const acb_t nu, const acb_t z, int scaled, slong prec))
{
s7_pointer n, x, scl;
slong prec;
s7_int scaled;
prec = s7_integer(s7_starlet_ref(sc, s7_make_symbol(sc, "bignum-precision")));
n = s7_car(args);
if (!s7_is_number(n))
return(s7_wrong_type_arg_error(sc, b_name, 1, n, "number"));
s7_number_to_acb(sc, nu, n, prec);
x = s7_cadr(args);
if (!s7_is_number(x))
return(s7_wrong_type_arg_error(sc, b_name, 2, x, "number"));
s7_number_to_acb(sc, z, x, prec);
scl = s7_caddr(args);
if (!s7_is_integer(scl))
return(s7_wrong_type_arg_error(sc, b_name, 3, scl, "integer"));
scaled = s7_integer(scl);
acb_func(w, nu, z, scaled, prec);
return(acb_to_s7(sc, w, prec));
}
static s7_pointer a_bessel_i_0f1(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_bessel_i_0f1", acb_hypgeom_bessel_i_0f1));}
static s7_pointer a_bessel_i_asymp(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_bessel_i_asymp", acb_hypgeom_bessel_i_asymp));}
static s7_pointer a_bessel_k_0f1(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_bessel_k_0f1", acb_hypgeom_bessel_k_0f1));}
static s7_pointer a_bessel_k_asymp(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_bessel_k_asymp", acb_hypgeom_bessel_k_asymp));}
static s7_pointer a_hypgeom_0f1_asymp(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_hypgeom_0f1_asymp", acb_hypgeom_0f1_asymp));}
static s7_pointer a_hypgeom_0f1_direct(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_hypgeom_0f1_direct", acb_hypgeom_0f1_direct));}
static s7_pointer a_hypgeom_0f1(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_hypgeom_0f1", acb_hypgeom_0f1));}
static s7_pointer a_gamma_lower(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_gamma_lower", acb_hypgeom_gamma_lower));}
static s7_pointer a_gamma_upper_asymp(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_gamma_upper_asymp", acb_hypgeom_gamma_upper_asymp));}
static s7_pointer a_gamma_upper_1f1a(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_gamma_upper_1f1a", acb_hypgeom_gamma_upper_1f1a));}
static s7_pointer a_gamma_upper_1f1b(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_gamma_upper_1f1b", acb_hypgeom_gamma_upper_1f1b));}
static s7_pointer a_gamma_upper(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_gamma_upper", acb_hypgeom_gamma_upper));}
static s7_pointer a_elliptic_e_inc(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_elliptic_e_inc", acb_elliptic_e_inc));}
static s7_pointer a_elliptic_f(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_elliptic_f", acb_elliptic_f));}
/* -------------------------------- accci -------------------------------- */
static s7_pointer accci(s7_scheme *sc, s7_pointer args, const char *b_name, void acb_func(acb_t res, const acb_t nu, const acb_t z, const acb_t b, slong prec))
{
s7_pointer n, x, b1;
slong prec;
prec = s7_integer(s7_starlet_ref(sc, s7_make_symbol(sc, "bignum-precision")));
n = s7_car(args);
if (!s7_is_number(n))
return(s7_wrong_type_arg_error(sc, b_name, 1, n, "number"));
s7_number_to_acb(sc, nu, n, prec);
x = s7_cadr(args);
if (!s7_is_number(x))
return(s7_wrong_type_arg_error(sc, b_name, 2, x, "number"));
s7_number_to_acb(sc, z, x, prec);
b1 = s7_caddr(args);
if (!s7_is_number(b1))
return(s7_wrong_type_arg_error(sc, b_name, 3, b1, "number"));
s7_number_to_acb(sc, b, b1, prec);
acb_func(w, nu, z, b, prec);
return(acb_to_s7(sc, w, prec));
}
static s7_pointer a_hypgeom_u_1f1(s7_scheme *sc, s7_pointer args) {return(accci(sc, args, "acb_hypgeom_u_1f1", acb_hypgeom_u_1f1));}
static s7_pointer a_hypgeom_u(s7_scheme *sc, s7_pointer args) {return(accci(sc, args, "acb_hypgeom_u", acb_hypgeom_u));}
static s7_pointer a_gegenbauer_c(s7_scheme *sc, s7_pointer args) {return(accci(sc, args, "acb_gegenbauer_c", acb_hypgeom_gegenbauer_c));}
static s7_pointer a_laguerre_l(s7_scheme *sc, s7_pointer args) {return(accci(sc, args, "acb_laguerre_l", acb_hypgeom_laguerre_l));}
/* -------------------------------- acccii -------------------------------- */
static s7_pointer acccii(s7_scheme *sc, s7_pointer args, const char *b_name, void acb_func(acb_t res, const acb_t nu, const acb_t z, const acb_t b, int scaled, slong prec))
{
s7_pointer n, x, scl, b1;
slong prec;
s7_int scaled;
prec = s7_integer(s7_starlet_ref(sc, s7_make_symbol(sc, "bignum-precision")));
n = s7_car(args);
if (!s7_is_number(n))
return(s7_wrong_type_arg_error(sc, b_name, 1, n, "number"));
s7_number_to_acb(sc, nu, n, prec);
x = s7_cadr(args);
if (!s7_is_number(x))
return(s7_wrong_type_arg_error(sc, b_name, 2, x, "number"));
s7_number_to_acb(sc, z, x, prec);
b1 = s7_caddr(args);
if (!s7_is_number(b1))
return(s7_wrong_type_arg_error(sc, b_name, 3, b1, "number"));
s7_number_to_acb(sc, b, b1, prec);
scl = s7_cadddr(args);
if (!s7_is_integer(scl))
return(s7_wrong_type_arg_error(sc, b_name, 4, scl, "integer"));
scaled = s7_integer(scl);
acb_func(w, nu, z, b, scaled, prec);
return(acb_to_s7(sc, w, prec));
}
static s7_pointer a_hypgeom_m_asymp(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_hypgeom_m_asymp", acb_hypgeom_m_asymp));}
static s7_pointer a_hypgeom_m_1f1(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_hypgeom_m_1f1", acb_hypgeom_m_1f1));}
static s7_pointer a_hypgeom_m(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_hypgeom_m", acb_hypgeom_m));}
static s7_pointer a_hypgeom_1f1(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_hypgeom_1f1", acb_hypgeom_1f1));}
static s7_pointer a_hypgeom_beta_lower(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_beta_lower", acb_hypgeom_beta_lower));}
static s7_pointer a_hypgeom_legendre_p(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_legendre_p", acb_hypgeom_legendre_p));}
static s7_pointer a_hypgeom_legendre_q(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_legendre_q", acb_hypgeom_legendre_q));}
static s7_pointer a_elliptic_rf(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_elliptic_rf", acb_elliptic_rf));}
static s7_pointer a_elliptic_rg(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_elliptic_rg", acb_elliptic_rg));}
static s7_pointer a_elliptic_pi_inc(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_elliptic_pi_inc", acb_elliptic_pi_inc));}
/* -------------------------------- libarb_s7_init -------------------------------- */
void libarb_s7_init(s7_scheme *sc);
void libarb_s7_init(s7_scheme *sc)
{
s7_pointer old_shadow, arb, old_curlet, aci_sig, acci_sig, accii_sig, accci_sig, acccii_sig;
acb_init(b);
acb_init(nu);
acb_init(w);
acb_init(z);
s7_define_constant(sc, "*arb*", arb = s7_inlet(sc, s7_nil(sc)));
old_curlet = s7_set_curlet(sc, arb);
old_shadow = s7_set_shadow_rootlet(sc, arb);
aci_sig = s7_make_signature(sc, 2, s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?")); /* "i" in aci=precision */
acci_sig = s7_make_signature(sc, 3, s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"));
accii_sig = s7_make_signature(sc, 4, s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "integer?"));
accci_sig = s7_make_signature(sc, 4, s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"));
acccii_sig = s7_make_signature(sc, 5, s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"),
s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "integer?"));
s7_define_typed_function(sc, "acb_erf", a_erf, 1, 0, false, "(acb_erf x)", aci_sig);
s7_define_typed_function(sc, "acb_erfc", a_erfc, 1, 0, false, "(acb_erfc x)", aci_sig);
s7_define_typed_function(sc, "acb_erfi", a_erfi, 1, 0, false, "(acb_erfi x)", aci_sig);
s7_define_typed_function(sc, "acb_ei", a_ei, 1, 0, false, "(acb_ei x)", aci_sig);
s7_define_typed_function(sc, "acb_si", a_si, 1, 0, false, "(acb_si x)", aci_sig);
s7_define_typed_function(sc, "acb_ci", a_ci, 1, 0, false, "(acb_ci x)", aci_sig);
s7_define_typed_function(sc, "acb_shi", a_shi, 1, 0, false, "(acb_shi x)", aci_sig);
s7_define_typed_function(sc, "acb_chi", a_chi, 1, 0, false, "(acb_chi x)", aci_sig);
s7_define_typed_function(sc, "acb_erf_1f1a", a_erf_1f1a, 1, 0, false, "(acb_erf_1f1a x)", aci_sig);
s7_define_typed_function(sc, "acb_erf_1f1b", a_erf_1f1b, 1, 0, false, "(acb_erf_1f1b x)", aci_sig);
s7_define_typed_function(sc, "acb_ei_asymp", a_ei_asymp, 1, 0, false, "(acb_ei_asymp x)", aci_sig);
s7_define_typed_function(sc, "acb_ei_2f2", a_ei_2f2, 1, 0, false, "(acb_ei_2f2 x)", aci_sig);
s7_define_typed_function(sc, "acb_si_asymp", a_si_asymp, 1, 0, false, "(acb_si_asymp x)", aci_sig);
s7_define_typed_function(sc, "acb_si_1f2", a_si_1f2, 1, 0, false, "(acb_si_1f2 x)", aci_sig);
s7_define_typed_function(sc, "acb_ci_asymp", a_ci_asymp, 1, 0, false, "(acb_ci_asymp x)", aci_sig);
s7_define_typed_function(sc, "acb_ci_2f3", a_ci_2f3, 1, 0, false, "(acb_ci_2f3 x)", aci_sig);
s7_define_typed_function(sc, "acb_chi_asymp", a_chi_asymp, 1, 0, false, "(acb_chi_asymp x)", aci_sig);
s7_define_typed_function(sc, "acb_chi_2f3", a_chi_2f3, 1, 0, false, "(acb_chi_2f3 x)", aci_sig);
s7_define_typed_function(sc, "acb_dilog_bernoulli", a_dilog_bernoulli, 1, 0, false, "(acb_dilog_bernoulli x)", aci_sig);
s7_define_typed_function(sc, "acb_dilog_zero_taylor", a_dilog_zero_taylor, 1, 0, false, "(acb_dilog_zero_taylor x)", aci_sig);
s7_define_typed_function(sc, "acb_dilog_zero", a_dilog_zero, 1, 0, false, "(acb_dilog_zero x)", aci_sig);
s7_define_typed_function(sc, "acb_dilog", a_dilog, 1, 0, false, "(acb_dilog x)", aci_sig);
s7_define_typed_function(sc, "acb_elliptic_k", a_elliptic_k, 1, 0, false, "(acb_elliptic_k x)", aci_sig);
s7_define_typed_function(sc, "acb_elliptic_e", a_elliptic_e, 1, 0, false, "(acb_elliptic_e x)", aci_sig);
s7_define_typed_function(sc, "acb_elliptic_rc1", a_elliptic_rc1, 1, 0, false, "(acb_elliptic_rc1 x)", aci_sig);
s7_define_typed_function(sc, "acb_gamma", a_gamma, 1, 0, false, "(acb_gamma x)", aci_sig);
s7_define_typed_function(sc, "acb_rgamma", a_rgamma, 1, 0, false, "(acb_rgamma x)", aci_sig);
s7_define_typed_function(sc, "acb_lgamma", a_lgamma, 1, 0, false, "(acb_lgamma x)", aci_sig);
s7_define_typed_function(sc, "acb_log_sin_pi", a_log_sin_pi, 1, 0, false, "(acb_log_sin_pi x)", aci_sig);
s7_define_typed_function(sc, "acb_digamma", a_digamma, 1, 0, false, "(acb_digamma x)", aci_sig);
s7_define_typed_function(sc, "acb_zeta", a_zeta, 1, 0, false, "(acb_zeta x)", aci_sig);
s7_define_typed_function(sc, "acb_log_barnes_g", a_log_barnes_g, 1, 0, false, "(acb_log_barnes_g x)", aci_sig);
s7_define_typed_function(sc, "acb_barnes_g", a_barnes_g, 1, 0, false, "(acb_barnes_g x)", aci_sig);
s7_define_typed_function(sc, "acb_sinc", a_sinc, 1, 0, false, "(acb_sinc x)", aci_sig);
s7_define_typed_function(sc, "acb_sinc_pi", a_sinc_pi, 1, 0, false, "(acb_sinc_pi x)", aci_sig);
s7_define_typed_function(sc, "acb_agm1", a_agm1, 1, 0, false, "(acb_agm1 x)", aci_sig);
s7_define_typed_function(sc, "acb_bessel_j", a_bessel_j, 2, 0, false, "(acb_bessel_j n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_y", a_bessel_y, 2, 0, false, "(acb_bessel_y n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_i", a_bessel_i, 2, 0, false, "(acb_bessel_i n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_k", a_bessel_k, 2, 0, false, "(acb_bessel_k n x)", acci_sig);
s7_define_typed_function(sc, "acb_hermite_h", a_hermite_h, 2, 0, false, "(acb_hermite_h n x)", acci_sig);
s7_define_typed_function(sc, "acb_chebyshev_t", a_chebyshev_t, 2, 0, false, "(acb_chebyshev_t n x)", acci_sig);
s7_define_typed_function(sc, "acb_chebyshev_u", a_chebyshev_u, 2, 0, false, "(acb_chebyshev_u n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_j_0f1", a_bessel_j_0f1, 2, 0, false, "(acb_bessel_j_0f1 n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_j_asymp", a_bessel_j_asymp, 2, 0, false, "(acb_bessel_j_asymp n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_i_scaled", a_bessel_i_scaled, 2, 0, false, "(acb_bessel_i_scaled n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_k_scaled", a_bessel_k_scaled, 2, 0, false, "(acb_bessel_k_scaled n x)", acci_sig);
s7_define_typed_function(sc, "acb_expint", a_expint, 2, 0, false, "(acb_expint n x)", acci_sig);
s7_define_typed_function(sc, "acb_elliptic_pi", a_elliptic_pi, 2, 0, false, "(acb_elliptic_pi)", acci_sig);
s7_define_typed_function(sc, "acb_elliptic_p", a_elliptic_p, 2, 0, false, "(acb_elliptic_p)", acci_sig);
s7_define_typed_function(sc, "acb_elliptic_zeta", a_elliptic_zeta, 2, 0, false, "(acb_elliptic_zeta)", acci_sig);
s7_define_typed_function(sc, "acb_elliptic_sigma", a_elliptic_sigma, 2, 0, false, "(acb_elliptic_sigma)", acci_sig);
s7_define_typed_function(sc, "acb_elliptic_inv_p", a_elliptic_inv_p, 2, 0, false, "(acb_elliptic_inv_p)", acci_sig);
s7_define_typed_function(sc, "acb_hurwitz_zeta", a_hurwitz_zeta, 2, 0, false, "(acb_hurwitz_zeta)", acci_sig);
s7_define_typed_function(sc, "acb_polygamma", a_polygamma, 2, 0, false, "(acb_polygamma)", acci_sig);
s7_define_typed_function(sc, "acb_polylog", a_polylog, 2, 0, false, "(acb_polylog)", acci_sig);
s7_define_typed_function(sc, "acb_agm", a_agm, 2, 0, false, "(acb_agm)", acci_sig);
s7_define_typed_function(sc, "acb_dilog_continuation", a_dilog_continuation, 2, 0, false, "(acb_dilog_continuation)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_i_0f1", a_bessel_i_0f1, 3, 0, false, "(acb_bessel_i_0f1)", accii_sig);
s7_define_typed_function(sc, "acb_bessel_i_asymp", a_bessel_i_asymp, 3, 0, false, "(acb_bessel_i_asymp)", accii_sig);
s7_define_typed_function(sc, "acb_bessel_k_0f1", a_bessel_k_0f1, 3, 0, false, "(acb_bessel_k_0f1)", accii_sig);
s7_define_typed_function(sc, "acb_bessel_k_asymp", a_bessel_k_asymp, 3, 0, false, "(acb_bessel_k_asymp)", accii_sig);
s7_define_typed_function(sc, "acb_hypgeom_0f1_asymp", a_hypgeom_0f1_asymp, 3, 0, false, "(acb_hypgeom_0f1_asymp)", accii_sig);
s7_define_typed_function(sc, "acb_hypgeom_0f1_direct", a_hypgeom_0f1_direct, 3, 0, false, "(acb_hypgeom_0f1_direct)", accii_sig);
s7_define_typed_function(sc, "acb_hypgeom_0f1", a_hypgeom_0f1, 3, 0, false, "(acb_hypgeom_0f1)", accii_sig);
s7_define_typed_function(sc, "acb_gamma_lower", a_gamma_lower, 3, 0, false, "(acb_gamma_lower)", accii_sig);
s7_define_typed_function(sc, "acb_gamma_upper_asymp", a_gamma_upper_asymp, 3, 0, false, "(acb_gamma_upper_asymp)", accii_sig);
s7_define_typed_function(sc, "acb_gamma_upper_1f1a", a_gamma_upper_1f1a, 3, 0, false, "(acb_gamma_upper_1f1a)", accii_sig);
s7_define_typed_function(sc, "acb_gamma_upper_1f1b", a_gamma_upper_1f1b, 3, 0, false, "(acb_gamma_upper_1f1b)", accii_sig);
s7_define_typed_function(sc, "acb_gamma_upper", a_gamma_upper, 3, 0, false, "(acb_gamma_upper)", accii_sig);
s7_define_typed_function(sc, "acb_elliptic_e_inc", a_elliptic_e_inc, 3, 0, false, "(acb_elliptic_e_inc)", accii_sig);
s7_define_typed_function(sc, "acb_elliptic_f", a_elliptic_f, 3, 0, false, "(acb_elliptic_f)", accii_sig);
s7_define_typed_function(sc, "acb_hypgeom_u_1f1", a_hypgeom_u_1f1, 3, 0, false, "(acb_hypgeom_u_1f1)", accci_sig);
s7_define_typed_function(sc, "acb_hypgeom_u", a_hypgeom_u, 3, 0, false, "(acb_hypgeom_u)", accci_sig);
s7_define_typed_function(sc, "acb_gegenbauer_c", a_gegenbauer_c, 3, 0, false, "(acb_gegenbauer_c)", accci_sig);
s7_define_typed_function(sc, "acb_laguerre_l", a_laguerre_l, 3, 0, false, "(acb_laguerre_l)", accci_sig);
s7_define_typed_function(sc, "acb_hypgeom_m_asymp", a_hypgeom_m_asymp, 4, 0, false, "(acb_hypgeom_m_asymp)", acccii_sig);
s7_define_typed_function(sc, "acb_hypgeom_m_1f1", a_hypgeom_m_1f1, 4, 0, false, "(acb_hypgeom_m_1f1)", acccii_sig);
s7_define_typed_function(sc, "acb_hypgeom_m", a_hypgeom_m, 4, 0, false, "(acb_hypgeom_m)", acccii_sig);
s7_define_typed_function(sc, "acb_hypgeom_1f1", a_hypgeom_1f1, 4, 0, false, "(acb_hypgeom_1f1)", acccii_sig);
s7_define_typed_function(sc, "acb_beta_lower", a_hypgeom_beta_lower, 4, 0, false, "(acb_beta_lower)", acccii_sig);
s7_define_typed_function(sc, "acb_legendre_p", a_hypgeom_legendre_p, 4, 0, false, "(acb_legendre_p)", acccii_sig);
s7_define_typed_function(sc, "acb_legendre_q", a_hypgeom_legendre_q, 4, 0, false, "(acb_legendre_q)", acccii_sig);
s7_define_typed_function(sc, "acb_elliptic_rf", a_elliptic_rf, 4, 0, false, "(acb_elliptic_rf)", acccii_sig);
s7_define_typed_function(sc, "acb_elliptic_rg", a_elliptic_rg, 4, 0, false, "(acb_elliptic_rg)", acccii_sig);
s7_define_typed_function(sc, "acb_elliptic_pi_inc", a_elliptic_pi_inc, 4, 0, false, "(acb_elliptic_pi_inc)", acccii_sig);
s7_set_curlet(sc, old_curlet);
s7_set_shadow_rootlet(sc, old_shadow);
}
/* gcc -fPIC -c libarb_s7.c
* gcc libarb_s7.o -shared -o libarb_s7.so -lflint -larb
* this is the gmp version of s7
* repl
* > (load "libarb_s7.so" (inlet 'init_func 'libarb_s7_init))
* > (acb_bessel_j 0 1.0)
* 7.651976865579665514497175261026632209096E-1
*/
#if 0
;; src_ptr?
void acb_hypgeom_pfq(acb_t res, acb_srcptr a, slong p, acb_srcptr b, slong q, const acb_t z, int regularized, slong prec);
void acb_hypgeom_airy(acb_t ai, acb_t aip, acb_t bi, acb_t bip, const acb_t z, slong prec);
void acb_hypgeom_coulomb(acb_t F, acb_t G, acb_t Hpos, acb_t Hneg, const acb_t l, const acb_t eta, const acb_t z, slong prec);
void acb_hypgeom_fresnel(acb_t res1, acb_t res2, const acb_t z, int normalized, slong prec);
void acb_hypgeom_bessel_jy(acb_t res1, acb_t res2, const acb_t nu, const acb_t z, slong prec);
void acb_hypgeom_2f1(acb_t res, const acb_t a, const acb_t b, const acb_t c, const acb_t z, int regularized, slong prec);
void acb_elliptic_rj(acb_t res, const acb_t x, const acb_t y, const acb_t z, const acb_t p, int flags, slong prec);
;; fmpz?
void acb_lambertw(acb_t res, const acb_t z, const fmpz_t k, int flags, slong prec);
void acb_quadratic_roots_fmpz(acb_t r1, acb_t r2, const fmpz_t a, const fmpz_t b, const fmpz_t c, slong prec);
void acb_hypgeom_li(acb_t res, const acb_t z, int offset, slong prec);
void acb_chebyshev_t_ui(acb_t a, ulong n, const acb_t x, slong prec);
void acb_chebyshev_u_ui(acb_t a, ulong n, const acb_t x, slong prec);
void acb_chebyshev_t2_ui(acb_t a, acb_t b, ulong n, const acb_t x, slong prec);
void acb_chebyshev_u2_ui(acb_t a, acb_t b, ulong n, const acb_t x, slong prec);
#endif