a68g-mp.h
1 //! @file a68g-mp.h
2 //! @author J. Marcel van der Veer
3 //!
4 //! @section Copyright
5 //!
6 //! This file is part of Algol68G - an Algol 68 compiler-interpreter.
7 //! Copyright 2001-2023 J. Marcel van der Veer [algol68g@xs4all.nl].
8 //!
9 //! @section License
10 //!
11 //! This program is free software; you can redistribute it and/or modify it
12 //! under the terms of the GNU General Public License as published by the
13 //! Free Software Foundation; either version 3 of the License, or
14 //! (at your option) any later version.
15 //!
16 //! This program is distributed in the hope that it will be useful, but
17 //! WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
18 //! or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
19 //! more details. You should have received a copy of the GNU General Public
20 //! License along with this program. If not, see [http://www.gnu.org/licenses/].
21
22 #if !defined (__A68G_MP_H__)
23 #define __A68G_MP_H__
24
25 // A68G's multiprecision algorithms are not suited for more than a few hundred
26 // digits. This is however sufficient for most practical MP applications.
27
28 #define MP_MAX_DECIMALS 250
29 #define MP_MAX_DIGITS (1 + MP_MAX_DECIMALS / LOG_MP_RADIX)
30
31 #define MP_STATUS(z) ((z)[0])
32 #define MP_EXPONENT(z) ((z)[1])
33 #define MP_DIGIT(z, n) ((z)[(n) + 1])
34 #define MP_SIGN(z) (SIGN (MP_DIGIT (z, 1)))
35 #define LEN_MP(digs) (2 + digs)
36 #define SIZE_MP(digs) A68_ALIGN (LEN_MP (digs) * sizeof (MP_T))
37 #define IS_ZERO_MP(z) (MP_DIGIT (z, 1) == (MP_T) 0)
38
39 #define PLUS_INF_MP(u) ((UNSIGNED_T) MP_STATUS (u) & PLUS_INF_MASK)
40 #define MINUS_INF_MP(u) ((UNSIGNED_T) MP_STATUS (u) & MINUS_INF_MASK)
41 #define INF_MP(u) (PLUS_INF_MP (u) || MINUS_INF_MP (u))
42 #define CHECK_LONG_REAL(p, u, moid) PRELUDE_ERROR (INF_MP (u), p, ERROR_INFINITE, moid)
43
44 static inline MP_T *set_mp (MP_T * z, MP_T x, INT_T expo, int digs)
45 {
46 memset (z, 0, SIZE_MP (digs));
47 MP_STATUS (z) = (MP_T) INIT_MASK;
48 MP_DIGIT (z, 1) = x;
49 MP_EXPONENT (z) = (MP_T) expo;
50 return z;
51 }
52
53 static inline MP_T *move_mp (MP_T *z, MP_T *x, int N)
54 {
55 MP_T *y = z;
56 N += 2;
57 while (N--) {
58 *z++ = *x++;
59 }
60 return y;
61 }
62
63 static inline MP_T *move_mp_part (MP_T *z, MP_T *x, int N)
64 {
65 MP_T *y = z;
66 while (N--) {
67 *z++ = *x++;
68 }
69 return y;
70 }
71
72 static inline void check_mp_exp (NODE_T *p, MP_T *z)
73 {
74 MP_T expo = (MP_EXPONENT (z) < 0 ? -MP_EXPONENT (z) : MP_EXPONENT (z));
75 if (expo > MAX_MP_EXPONENT || (expo == MAX_MP_EXPONENT && ABS (MP_DIGIT (z, 1)) > (MP_T) 1)) {
76 errno = EDOM;
77 diagnostic (A68_RUNTIME_ERROR, p, ERROR_MP_OUT_OF_BOUNDS, NULL);
78 extern void exit_genie (NODE_T *, int);
79 exit_genie (p, A68_RUNTIME_ERROR);
80 }
81 }
82
83 static inline MP_T *mp_one (int digs)
84 {
85 if (digs > A68_MP (mp_one_size)) {
86 if (A68_MP (mp_one) != (MP_T *) NULL) {
87 a68_free (A68_MP (mp_one));
88 }
89 A68_MP (mp_one) = (MP_T *) get_heap_space (SIZE_MP (digs));
90 set_mp (A68_MP (mp_one), 1, 0, digs);
91 }
92 return A68_MP (mp_one);
93 }
94
95 static inline MP_T *lit_mp (NODE_T *p, MP_T u, INT_T expo, int digs)
96 {
97 ADDR_T pop_sp = A68_SP;
98 if ((A68_SP += SIZE_MP (digs)) > A68 (expr_stack_limit)) {
99 diagnostic (A68_RUNTIME_ERROR, p, ERROR_STACK_OVERFLOW);
100 extern void exit_genie (NODE_T *, int);
101 exit_genie (p, A68_RUNTIME_ERROR);
102 }
103 MP_T *z = (MP_T *) STACK_ADDRESS (pop_sp);
104 (void) set_mp (z, u, expo, digs);
105 return z;
106 }
107
108 static inline MP_T *nil_mp (NODE_T *p, int digs)
109 {
110 ADDR_T pop_sp = A68_SP;
111 if ((A68_SP += SIZE_MP (digs)) > A68 (expr_stack_limit)) {
112 diagnostic (A68_RUNTIME_ERROR, p, ERROR_STACK_OVERFLOW);
113 extern void exit_genie (NODE_T *, int);
114 exit_genie (p, A68_RUNTIME_ERROR);
115 }
116 MP_T *z = (MP_T *) STACK_ADDRESS (pop_sp);
117 (void) set_mp (z, 0, 0, digs);
118 return z;
119 }
120
121 static inline MP_T *empty_mp (NODE_T *p, int digs)
122 {
123 ADDR_T pop_sp = A68_SP;
124 if ((A68_SP += SIZE_MP (digs)) > A68 (expr_stack_limit)) {
125 diagnostic (A68_RUNTIME_ERROR, p, ERROR_STACK_OVERFLOW);
126 extern void exit_genie (NODE_T *, int);
127 exit_genie (p, A68_RUNTIME_ERROR);
128 }
129 return (MP_T *) STACK_ADDRESS (pop_sp);
130 }
131
132 extern MP_T *lengthen_mp (NODE_T *, MP_T *, int, MP_T *, int);
133
134 static inline MP_T *len_mp (NODE_T *p, MP_T *u, int digs, int gdigs)
135 {
136 ADDR_T pop_sp = A68_SP;
137 if ((A68_SP += SIZE_MP (gdigs)) > A68 (expr_stack_limit)) {
138 diagnostic (A68_RUNTIME_ERROR, p, ERROR_STACK_OVERFLOW);
139 extern void exit_genie (NODE_T *, int);
140 exit_genie (p, A68_RUNTIME_ERROR);
141 }
142 MP_T *z = (MP_T *) STACK_ADDRESS (pop_sp);
143 for (int k = 1; k <= digs; k++) {
144 MP_DIGIT (z, k) = MP_DIGIT (u, k);
145 }
146 for (int k = digs + 1; k <= gdigs; k++) {
147 MP_DIGIT (z, k) = (MP_T) 0;
148 }
149 MP_EXPONENT (z) = MP_EXPONENT (u);
150 MP_STATUS (z) = MP_STATUS (u);
151 return z;
152 }
153
154 static inline MP_T *cut_mp (NODE_T *p, MP_T *u, int digs, int gdigs)
155 {
156 ADDR_T pop_sp = A68_SP;
157 ASSERT (digs > gdigs);
158 BOOL_T neg = MP_DIGIT (u, 1) < 0;
159 if ((A68_SP += SIZE_MP (gdigs)) > A68 (expr_stack_limit)) {
160 diagnostic (A68_RUNTIME_ERROR, p, ERROR_STACK_OVERFLOW);
161 extern void exit_genie (NODE_T *, int);
162 exit_genie (p, A68_RUNTIME_ERROR);
163 }
164 MP_T *z = (MP_T *) STACK_ADDRESS (pop_sp);
165 for (int k = 1; k <= gdigs; k++) {
166 MP_DIGIT (z, k) = MP_DIGIT (u, k);
167 }
168 if (neg) {
169 MP_DIGIT (z, 1) = -MP_DIGIT (z, 1);
170 }
171 if (MP_DIGIT (u, gdigs + 1) >= MP_RADIX / 2) {
172 MP_DIGIT (z, gdigs) += 1;
173 for (int k = digs; k >= 2 && MP_DIGIT (z, k) == MP_RADIX; k --) {
174 MP_DIGIT (z, k) = 0;
175 MP_DIGIT (z, k - 1) ++;
176 }
177 }
178 if (neg) {
179 MP_DIGIT (z, 1) = -MP_DIGIT (z, 1);
180 }
181 MP_EXPONENT (z) = MP_EXPONENT (u);
182 MP_STATUS (z) = MP_STATUS (u);
183 return z;
184 }
185
186 //! @brief Length in bytes of a long mp number.
187
188 static inline size_t size_mp (void)
189 {
190 return (size_t) SIZE_MP (LONG_MP_DIGITS);
191 }
192
193 //! @brief Length in digits of a long mp number.
194
195 static inline int mp_digits (void)
196 {
197 return LONG_MP_DIGITS;
198 }
199
200 //! @brief Length in bytes of a long long mp number.
201
202 static inline size_t size_long_mp (void)
203 {
204 return (size_t) (SIZE_MP (A68_MP (varying_mp_digits)));
205 }
206
207 //! @brief digits in a long mp number.
208
209 static inline int long_mp_digits (void)
210 {
211 return A68_MP (varying_mp_digits);
212 }
213
214 #define SET_MP_ZERO(z, digits)\
215 (void) set_mp ((z), 0, 0, digits);
216
217 #define SET_MP_ONE(z, digits)\
218 (void) set_mp ((z), (MP_T) 1, 0, digits);
219
220 #define SET_MP_MINUS_ONE(z, digits)\
221 (void) set_mp ((z), (MP_T) -1, 0, digits);
222
223 #define SET_MP_HALF(z, digits)\
224 (void) set_mp ((z), (MP_T) (MP_RADIX / 2), -1, digits);
225
226 #define SET_MP_MINUS_HALF(z, digits)\
227 (void) set_mp ((z), (MP_T) -(MP_RADIX / 2), -1, digits);
228
229 #define SET_MP_QUART(z, digits)\
230 (void) set_mp ((z), (MP_T) (MP_RADIX / 4), -1, digits);
231
232 enum {MP_SQRT_PI, MP_PI, MP_LN_PI, MP_SQRT_TWO_PI, MP_TWO_PI, MP_HALF_PI, MP_180_OVER_PI, MP_PI_OVER_180};
233
234 // If MP_DOUBLE_PRECISION is defined functions are evaluated in double precision.
235
236 #undef MP_DOUBLE_PRECISION
237
238 #define MINIMUM(x, y) ((x) < (y) ? (x) : (y))
239
240 // GUARD_DIGITS: number of guard digits.
241
242 #if defined (MP_DOUBLE_PRECISION)
243 #define GUARD_DIGITS(digits) (digits)
244 #else
245 #define GUARD_DIGITS(digits) (2)
246 #endif
247
248 #define FUN_DIGITS(n) ((n) + GUARD_DIGITS (n))
249
250 // External multi-precision procedures
251
252 extern BOOL_T check_mp_int (MP_T *, MOID_T *);
253 extern BOOL_T is_int_mp (NODE_T *p, MP_T *z, int digits);
254 extern BOOL_T same_mp (NODE_T *, MP_T *, MP_T *, int);
255 extern int long_mp_digits (void);
256 extern INT_T mp_to_int (NODE_T *, MP_T *, int);
257 extern int width_to_mp_digits (int);
258 extern MP_T *abs_mp (NODE_T *, MP_T *, MP_T *, int);
259 extern MP_T *acosdg_mp (NODE_T *, MP_T *, MP_T *, int);
260 extern MP_T *acosh_mp (NODE_T *, MP_T *, MP_T *, int);
261 extern MP_T *acos_mp (NODE_T *, MP_T *, MP_T *, int);
262 extern MP_T *acotdg_mp (NODE_T *, MP_T *, MP_T *, int);
263 extern MP_T *acot_mp (NODE_T *, MP_T *, MP_T *, int);
264 extern MP_T *acsc_mp (NODE_T *, MP_T *, MP_T *, int);
265 extern MP_T *add_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
266 extern MP_T *align_mp (MP_T *, INT_T *, int);
267 extern MP_T *asec_mp (NODE_T *, MP_T *, MP_T *, int);
268 extern MP_T *asindg_mp (NODE_T *, MP_T *, MP_T *, int);
269 extern MP_T *asinh_mp (NODE_T *, MP_T *, MP_T *, int);
270 extern MP_T *asin_mp (NODE_T *, MP_T *, MP_T *, int);
271 extern MP_T *atan2dg_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
272 extern MP_T *atan2_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
273 extern MP_T *atandg_mp (NODE_T *, MP_T *, MP_T *, int);
274 extern MP_T *atanh_mp (NODE_T *, MP_T *, MP_T *, int);
275 extern MP_T *atan_mp (NODE_T *, MP_T *, MP_T *, int);
276 extern MP_T *beta_inc_mp (NODE_T *, MP_T *, MP_T *, MP_T *, MP_T *, int);
277 extern MP_T *beta_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
278 extern MP_T *cacosh_mp (NODE_T *, MP_T *, MP_T *, int);
279 extern MP_T *cacos_mp (NODE_T *, MP_T *, MP_T *, int);
280 extern MP_T *casinh_mp (NODE_T *, MP_T *, MP_T *, int);
281 extern MP_T *casin_mp (NODE_T *, MP_T *, MP_T *, int);
282 extern MP_T *catanh_mp (NODE_T *, MP_T *, MP_T *, int);
283 extern MP_T *catan_mp (NODE_T *, MP_T *, MP_T *, int);
284 extern MP_T *ccosh_mp (NODE_T *, MP_T *, MP_T *, int);
285 extern MP_T *ccos_mp (NODE_T *, MP_T *, MP_T *, int);
286 extern MP_T *cdiv_mp (NODE_T *, MP_T *, MP_T *, MP_T *, MP_T *, int);
287 extern MP_T *cexp_mp (NODE_T *, MP_T *, MP_T *, int);
288 extern MP_T *cln_mp (NODE_T *, MP_T *, MP_T *, int);
289 extern MP_T *cmul_mp (NODE_T *, MP_T *, MP_T *, MP_T *, MP_T *, int);
290 extern MP_T *cosdg_mp (NODE_T *, MP_T *, MP_T *, int);
291 extern MP_T *cosh_mp (NODE_T *, MP_T *, MP_T *, int);
292 extern MP_T *cos_mp (NODE_T *, MP_T *, MP_T *, int);
293 extern MP_T *cospi_mp (NODE_T *, MP_T *, MP_T *, int);
294 extern MP_T *cotdg_mp (NODE_T *, MP_T *, MP_T *, int);
295 extern MP_T *cot_mp (NODE_T *, MP_T *, MP_T *, int);
296 extern MP_T *cotpi_mp (NODE_T *, MP_T *, MP_T *, int);
297 extern MP_T *csc_mp (NODE_T *, MP_T *, MP_T *, int);
298 extern MP_T *csinh_mp (NODE_T *, MP_T *, MP_T *, int);
299 extern MP_T *csin_mp (NODE_T *, MP_T *, MP_T *, int);
300 extern MP_T *csqrt_mp (NODE_T *, MP_T *, MP_T *, int);
301 extern MP_T *ctanh_mp (NODE_T *, MP_T *, MP_T *, int);
302 extern MP_T *ctan_mp (NODE_T *, MP_T *, MP_T *, int);
303 extern MP_T *curt_mp (NODE_T *, MP_T *, MP_T *, int);
304 extern MP_T *div_mp_digit (NODE_T *, MP_T *, MP_T *, MP_T, int);
305 extern MP_T *div_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
306 extern MP_T *entier_mp (NODE_T *, MP_T *, MP_T *, int);
307 extern MP_T *erfc_mp (NODE_T *, MP_T *, MP_T *, int);
308 extern MP_T *erf_mp (NODE_T *, MP_T *, MP_T *, int);
309 extern MP_T *expm1_mp (NODE_T *, MP_T *, MP_T *, int);
310 extern MP_T *exp_mp (NODE_T *, MP_T *, MP_T *, int);
311 extern MP_T *floor_mp (NODE_T *, MP_T *, MP_T *, int);
312 extern MP_T *gamma_inc_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
313 extern MP_T *gamma_mp (NODE_T *, MP_T *, MP_T *, int);
314 extern MP_T *half_mp (NODE_T *, MP_T *, MP_T *, int);
315 extern MP_T *hyp_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
316 extern MP_T *hypot_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
317 extern MP_T *int_to_mp (NODE_T *, MP_T *, INT_T, int);
318 extern MP_T *inverfc_mp (NODE_T *, MP_T *, MP_T *, int);
319 extern MP_T *inverf_mp (NODE_T *, MP_T *, MP_T *, int);
320 extern MP_T *lnbeta_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
321 extern MP_T *lngamma_mp (NODE_T *, MP_T *, MP_T *, int);
322 extern MP_T *ln_mp (NODE_T *, MP_T *, MP_T *, int);
323 extern MP_T *log_mp (NODE_T *, MP_T *, MP_T *, int);
324 extern MP_T *minus_mp (NODE_T *, MP_T *, MP_T *, int);
325 extern MP_T *minus_one_mp (NODE_T *, MP_T *, MP_T *, int);
326 extern MP_T *mod_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
327 extern MP_T *mp_ln_10 (NODE_T *, MP_T *, int);
328 extern MP_T *mp_ln_scale (NODE_T *, MP_T *, int);
329 extern MP_T *mp_pi (NODE_T *, MP_T *, int, int);
330 extern MP_T *ten_up_mp (NODE_T *, MP_T *, int, int);
331 extern MP_T *mul_mp_digit (NODE_T *, MP_T *, MP_T *, MP_T, int);
332 extern MP_T *mul_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
333 extern MP_T *one_minus_mp (NODE_T *, MP_T *, MP_T *, int);
334 extern MP_T *over_mp_digit (NODE_T *, MP_T *, MP_T *, MP_T, int);
335 extern MP_T *over_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
336 extern MP_T *plus_one_mp (NODE_T *, MP_T *, MP_T *, int);
337 extern MP_T *pow_mp_int (NODE_T *, MP_T *, MP_T *, INT_T, int);
338 extern MP_T *pow_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
339 extern MP_T *real_to_mp (NODE_T *, MP_T *, REAL_T, int);
340 extern MP_T *rec_mp (NODE_T *, MP_T *, MP_T *, int);
341 extern MP_T *round_mp (NODE_T *, MP_T *, MP_T *, int);
342 extern MP_T *sec_mp (NODE_T *, MP_T *, MP_T *, int);
343 extern MP_T *set_mp (MP_T *, MP_T, INT_T, int);
344 extern MP_T *shorten_mp (NODE_T *, MP_T *, int, MP_T *, int);
345 extern MP_T *sindg_mp (NODE_T *, MP_T *, MP_T *, int);
346 extern MP_T *sinh_mp (NODE_T *, MP_T *, MP_T *, int);
347 extern MP_T *sin_mp (NODE_T *, MP_T *, MP_T *, int);
348 extern MP_T *sinpi_mp (NODE_T *, MP_T *, MP_T *, int);
349 extern MP_T *sqrt_mp (NODE_T *, MP_T *, MP_T *, int);
350 extern MP_T *strtomp (NODE_T *, MP_T *, char *, int);
351 extern MP_T *sub_mp (NODE_T *, MP_T *, MP_T *, MP_T *, int);
352 extern MP_T *tandg_mp (NODE_T *, MP_T *, MP_T *, int);
353 extern MP_T *tanh_mp (NODE_T *, MP_T *, MP_T *, int);
354 extern MP_T *tan_mp (NODE_T *, MP_T *, MP_T *, int);
355 extern MP_T *tanpi_mp (NODE_T *, MP_T *, MP_T *, int);
356 extern MP_T *tenth_mp (NODE_T *, MP_T *, MP_T *, int);
357 extern MP_T *trunc_mp (NODE_T *, MP_T *, MP_T *, int);
358 extern MP_T *unt_to_mp (NODE_T *, MP_T *, UNSIGNED_T, int);
359 extern REAL_T mp_to_real (NODE_T *, MP_T *, int);
360 extern void eq_mp (NODE_T *, A68_BOOL *, MP_T *, MP_T *, int);
361 extern void ge_mp (NODE_T *, A68_BOOL *, MP_T *, MP_T *, int);
362 extern void genie_pi_mp (NODE_T *);
363 extern void gt_mp (NODE_T *, A68_BOOL *, MP_T *, MP_T *, int);
364 extern void le_mp (NODE_T *, A68_BOOL *, MP_T *, MP_T *, int);
365 extern void lt_mp (NODE_T *, A68_BOOL *, MP_T *, MP_T *, int);
366 extern void ne_mp (NODE_T *, A68_BOOL *, MP_T *, MP_T *, int);
367 extern void raw_write_mp (char *, MP_T *, int);
368 extern void set_long_mp_digits (int);
369 extern void test_mp_int_range (NODE_T *, MP_T *, MOID_T *);
370
371 extern GPROC genie_infinity_mp;
372 extern GPROC genie_minus_infinity_mp;
373 extern GPROC genie_beta_inc_mp;
374 extern GPROC genie_gamma_inc_mp;
375 extern GPROC genie_gamma_inc_f_mp;
376 extern GPROC genie_gamma_inc_g_mp;
377 extern GPROC genie_gamma_inc_h_mp;
378 extern GPROC genie_gamma_inc_gf_mp;
379 extern GPROC genie_abs_mp;
380 extern GPROC genie_abs_mp_complex;
381 extern GPROC genie_acosdg_mp;
382 extern GPROC genie_acosdg_mp;
383 extern GPROC genie_acosh_mp;
384 extern GPROC genie_acosh_mp_complex;
385 extern GPROC genie_acos_mp;
386 extern GPROC genie_acos_mp_complex;
387 extern GPROC genie_acotdg_mp;
388 extern GPROC genie_acot_mp;
389 extern GPROC genie_asec_mp;
390 extern GPROC genie_acsc_mp;
391 extern GPROC genie_add_mp;
392 extern GPROC genie_add_mp_complex;
393 extern GPROC genie_and_mp;
394 extern GPROC genie_arg_mp_complex;
395 extern GPROC genie_asindg_mp;
396 extern GPROC genie_asindg_mp;
397 extern GPROC genie_asinh_mp;
398 extern GPROC genie_asinh_mp_complex;
399 extern GPROC genie_asin_mp;
400 extern GPROC genie_asin_mp_complex;
401 extern GPROC genie_atan2_mp;
402 extern GPROC genie_atandg_mp;
403 extern GPROC genie_atan2dg_mp;
404 extern GPROC genie_atanh_mp;
405 extern GPROC genie_atanh_mp_complex;
406 extern GPROC genie_atan_mp;
407 extern GPROC genie_atan_mp_complex;
408 extern GPROC genie_bin_mp;
409 extern GPROC genie_clear_long_mp_bits;
410 extern GPROC genie_conj_mp_complex;
411 extern GPROC genie_cosdg_mp;
412 extern GPROC genie_cosh_mp;
413 extern GPROC genie_cosh_mp_complex;
414 extern GPROC genie_cos_mp;
415 extern GPROC genie_cos_mp_complex;
416 extern GPROC genie_cospi_mp;
417 extern GPROC genie_cotdg_mp;
418 extern GPROC genie_cot_mp;
419 extern GPROC genie_sec_mp;
420 extern GPROC genie_csc_mp;
421 extern GPROC genie_cotpi_mp;
422 extern GPROC genie_curt_mp;
423 extern GPROC genie_divab_mp;
424 extern GPROC genie_divab_mp_complex;
425 extern GPROC genie_div_mp;
426 extern GPROC genie_div_mp_complex;
427 extern GPROC genie_elem_long_mp_bits;
428 extern GPROC genie_elem_long_mp_bits;
429 extern GPROC genie_entier_mp;
430 extern GPROC genie_eq_mp;
431 extern GPROC genie_eq_mp_complex;
432 extern GPROC genie_erfc_mp;
433 extern GPROC genie_erf_mp;
434 extern GPROC genie_exp_mp;
435 extern GPROC genie_exp_mp_complex;
436 extern GPROC genie_gamma_mp;
437 extern GPROC genie_lngamma_mp;
438 extern GPROC genie_beta_mp;
439 extern GPROC genie_lnbeta_mp;
440 extern GPROC genie_ge_mp;
441 extern GPROC genie_get_long_mp_bits;
442 extern GPROC genie_get_long_mp_complex;
443 extern GPROC genie_get_long_mp_int;
444 extern GPROC genie_get_long_mp_real;
445 extern GPROC genie_get_mp_complex;
446 extern GPROC genie_gt_mp;
447 extern GPROC genie_im_mp_complex;
448 extern GPROC genie_inverfc_mp;
449 extern GPROC genie_inverf_mp;
450 extern GPROC genie_le_mp;
451 extern GPROC genie_lengthen_complex_to_mp_complex;
452 extern GPROC genie_lengthen_int_to_mp;
453 extern GPROC genie_lengthen_mp_complex_to_long_mp_complex;
454 extern GPROC genie_lengthen_mp_to_long_mp;
455 extern GPROC genie_lengthen_real_to_mp;
456 extern GPROC genie_lengthen_unt_to_mp;
457 extern GPROC genie_ln_mp;
458 extern GPROC genie_ln_mp_complex;
459 extern GPROC genie_log_mp;
460 extern GPROC genie_long_mp_bits_width;
461 extern GPROC genie_long_mp_exp_width;
462 extern GPROC genie_long_mp_int_width;
463 extern GPROC genie_long_mp_max_bits;
464 extern GPROC genie_long_mp_max_int;
465 extern GPROC genie_long_mp_max_real;
466 extern GPROC genie_long_mp_min_real;
467 extern GPROC genie_long_mp_real_width;
468 extern GPROC genie_long_mp_small_real;
469 extern GPROC genie_lt_mp;
470 extern GPROC genie_minusab_mp;
471 extern GPROC genie_minusab_mp_complex;
472 extern GPROC genie_minus_mp;
473 extern GPROC genie_minus_mp_complex;
474 extern GPROC genie_modab_mp;
475 extern GPROC genie_mod_mp;
476 extern GPROC genie_mul_mp;
477 extern GPROC genie_mul_mp_complex;
478 extern GPROC genie_ne_mp;
479 extern GPROC genie_ne_mp_complex;
480 extern GPROC genie_not_mp;
481 extern GPROC genie_odd_mp;
482 extern GPROC genie_or_mp;
483 extern GPROC genie_overab_mp;
484 extern GPROC genie_over_mp;
485 extern GPROC genie_pi_mp;
486 extern GPROC genie_plusab_mp;
487 extern GPROC genie_plusab_mp_complex;
488 extern GPROC genie_pow_mp;
489 extern GPROC genie_pow_mp_complex_int;
490 extern GPROC genie_pow_mp_int;
491 extern GPROC genie_pow_mp_int_int;
492 extern GPROC genie_print_long_mp_bits;
493 extern GPROC genie_print_long_mp_complex;
494 extern GPROC genie_print_long_mp_int;
495 extern GPROC genie_print_long_mp_real;
496 extern GPROC genie_print_mp_complex;
497 extern GPROC genie_put_long_mp_bits;
498 extern GPROC genie_put_long_mp_complex;
499 extern GPROC genie_put_long_mp_int;
500 extern GPROC genie_put_long_mp_real;
501 extern GPROC genie_put_mp_complex;
502 extern GPROC genie_read_long_mp_bits;
503 extern GPROC genie_read_long_mp_complex;
504 extern GPROC genie_read_long_mp_int;
505 extern GPROC genie_read_long_mp_real;
506 extern GPROC genie_read_mp_complex;
507 extern GPROC genie_re_mp_complex;
508 extern GPROC genie_round_mp;
509 extern GPROC genie_set_long_mp_bits;
510 extern GPROC genie_shl_mp;
511 extern GPROC genie_shorten_long_mp_complex_to_mp_complex;
512 extern GPROC genie_shorten_long_mp_to_mp;
513 extern GPROC genie_shorten_mp_complex_to_complex;
514 extern GPROC genie_shorten_mp_to_bits;
515 extern GPROC genie_shorten_mp_to_int;
516 extern GPROC genie_shorten_mp_to_real;
517 extern GPROC genie_shr_mp;
518 extern GPROC genie_sign_mp;
519 extern GPROC genie_sindg_mp;
520 extern GPROC genie_sinh_mp;
521 extern GPROC genie_sinh_mp_complex;
522 extern GPROC genie_sin_mp;
523 extern GPROC genie_sin_mp_complex;
524 extern GPROC genie_sinpi_mp;
525 extern GPROC genie_sqrt_mp;
526 extern GPROC genie_sqrt_mp_complex;
527 extern GPROC genie_sub_mp;
528 extern GPROC genie_sub_mp_complex;
529 extern GPROC genie_tandg_mp;
530 extern GPROC genie_tanh_mp;
531 extern GPROC genie_tanh_mp_complex;
532 extern GPROC genie_tan_mp;
533 extern GPROC genie_tan_mp_complex;
534 extern GPROC genie_tanpi_mp;
535 extern GPROC genie_timesab_mp;
536 extern GPROC genie_timesab_mp_complex;
537 extern GPROC genie_xor_mp;
538
539 #if defined (HAVE_GNU_MPFR)
540 extern GPROC genie_beta_inc_mpfr;
541 extern GPROC genie_ln_beta_mpfr;
542 extern GPROC genie_beta_mpfr;
543 extern GPROC genie_gamma_inc_mpfr;
544 extern GPROC genie_gamma_inc_real_mpfr;
545 extern GPROC genie_gamma_inc_double_real_mpfr;
546 extern GPROC genie_gamma_mpfr;
547 extern GPROC genie_lngamma_mpfr;
548 extern GPROC genie_mpfr_erfc_mp;
549 extern GPROC genie_mpfr_erf_mp;
550 extern GPROC genie_mpfr_inverfc_mp;
551 extern GPROC genie_mpfr_inverf_mp;
552 extern GPROC genie_mpfr_mp;
553 extern size_t mpfr_digits (void);
554 #endif
555
556 #if (A68_LEVEL >= 3)
557 extern GPROC genie_quad_mp;
558 #endif
559
560 #if (A68_LEVEL <= 2)
561 extern int get_mp_bits_width (MOID_T *);
562 extern int get_mp_bits_words (MOID_T *);
563 extern MP_BITS_T *stack_mp_bits (NODE_T *, MP_T *, MOID_T *);
564 #endif
565
566 #endif
