1 | /**************************************** |
---|
2 | * Computer Algebra System SINGULAR * |
---|
3 | ****************************************/ |
---|
4 | /* |
---|
5 | * ABSTRACT: computations with GMP complex floating-point numbers |
---|
6 | * |
---|
7 | * ngc == number gnu complex |
---|
8 | */ |
---|
9 | #include "misc/auxiliary.h" |
---|
10 | #include "omalloc/omalloc.h" |
---|
11 | |
---|
12 | #include "misc/mylimits.h" |
---|
13 | #include "reporter/reporter.h" |
---|
14 | |
---|
15 | #include "coeffs/coeffs.h" |
---|
16 | #include "coeffs/numbers.h" |
---|
17 | |
---|
18 | #include "coeffs/mpr_complex.h" |
---|
19 | |
---|
20 | #include "coeffs/gnumpc.h" |
---|
21 | #include "coeffs/longrat.h" |
---|
22 | #include "coeffs/gnumpfl.h" |
---|
23 | #include "coeffs/modulop.h" |
---|
24 | #include "coeffs/shortfl.h" |
---|
25 | |
---|
26 | #ifdef LDEBUG |
---|
27 | BOOLEAN ngcDBTest(number a, const char *f, const int l, const coeffs r); |
---|
28 | #endif |
---|
29 | |
---|
30 | |
---|
31 | #ifdef LDEBUG |
---|
32 | // not yet implemented |
---|
33 | BOOLEAN ngcDBTest(number, const char *, const int, const coeffs r) |
---|
34 | { |
---|
35 | assume( getCoeffType(r) == n_long_C ); |
---|
36 | |
---|
37 | return TRUE; |
---|
38 | } |
---|
39 | #endif |
---|
40 | |
---|
41 | static number ngcParameter(int i, const coeffs r) |
---|
42 | { |
---|
43 | assume( getCoeffType(r) == n_long_C ); |
---|
44 | assume(i==1); |
---|
45 | |
---|
46 | if( i == 1 ) |
---|
47 | return (number)(new gmp_complex( 0L, 1L )); |
---|
48 | |
---|
49 | return NULL; // new gmp_complex( ) // 0? |
---|
50 | } |
---|
51 | |
---|
52 | /*2 |
---|
53 | * n := i |
---|
54 | */ |
---|
55 | static number ngcInit (long i, const coeffs r) |
---|
56 | { |
---|
57 | assume( getCoeffType(r) == n_long_C ); |
---|
58 | |
---|
59 | gmp_complex* n= new gmp_complex( (long)i, 0L ); |
---|
60 | |
---|
61 | return (number)n; |
---|
62 | } |
---|
63 | |
---|
64 | /*2 |
---|
65 | * convert number to int |
---|
66 | */ |
---|
67 | static long ngcInt(number &i, const coeffs r) |
---|
68 | { |
---|
69 | assume( getCoeffType(r) == n_long_C ); |
---|
70 | |
---|
71 | return ((gmp_complex*)i)->real(); |
---|
72 | } |
---|
73 | |
---|
74 | static BOOLEAN ngcIsZero (number a, const coeffs r) |
---|
75 | { |
---|
76 | assume( getCoeffType(r) == n_long_C ); |
---|
77 | |
---|
78 | return ( ((gmp_complex*)a)->real().isZero() && ((gmp_complex*)a)->imag().isZero()); |
---|
79 | } |
---|
80 | |
---|
81 | static int ngcSize(number n, const coeffs R) |
---|
82 | { |
---|
83 | int r = (int)((gmp_complex*)n)->real(); |
---|
84 | if (r < 0) r = -r; |
---|
85 | int i = (int)((gmp_complex*)n)->imag(); |
---|
86 | if (i < 0) i = -i; |
---|
87 | int oneNorm = r + i; |
---|
88 | /* basically return the 1-norm of n; |
---|
89 | only if this happens to be zero although n != 0, |
---|
90 | return 1; |
---|
91 | (this code ensures that zero has the size zero) */ |
---|
92 | if ((oneNorm == 0.0) & (ngcIsZero(n,R) == FALSE)) oneNorm = 1; |
---|
93 | return oneNorm; |
---|
94 | } |
---|
95 | |
---|
96 | /*2 |
---|
97 | * delete a |
---|
98 | */ |
---|
99 | static void ngcDelete (number * a, const coeffs r) |
---|
100 | { |
---|
101 | assume( getCoeffType(r) == n_long_C ); |
---|
102 | |
---|
103 | if ( *a != NULL ) |
---|
104 | { |
---|
105 | delete *(gmp_complex**)a; |
---|
106 | *a=NULL; |
---|
107 | } |
---|
108 | } |
---|
109 | |
---|
110 | /*2 |
---|
111 | * copy a to b |
---|
112 | */ |
---|
113 | static number ngcCopy(number a, const coeffs r) |
---|
114 | { |
---|
115 | assume( getCoeffType(r) == n_long_C ); |
---|
116 | |
---|
117 | gmp_complex* b= new gmp_complex( *(gmp_complex*)a ); |
---|
118 | return (number)b; |
---|
119 | } |
---|
120 | |
---|
121 | |
---|
122 | /*2 |
---|
123 | * za:= - za |
---|
124 | */ |
---|
125 | static number ngcNeg (number a, const coeffs R) |
---|
126 | { |
---|
127 | assume( getCoeffType(R) == n_long_C ); |
---|
128 | |
---|
129 | gmp_complex* r=(gmp_complex*)a; |
---|
130 | (*r).neg(); |
---|
131 | return (number)a; |
---|
132 | } |
---|
133 | |
---|
134 | /* |
---|
135 | * 1/a |
---|
136 | */ |
---|
137 | static number ngcInvers(number a, const coeffs R) |
---|
138 | { |
---|
139 | assume( getCoeffType(R) == n_long_C ); |
---|
140 | |
---|
141 | gmp_complex* r = NULL; |
---|
142 | if (((gmp_complex*)a)->isZero()) |
---|
143 | { |
---|
144 | WerrorS(nDivBy0); |
---|
145 | } |
---|
146 | else |
---|
147 | { |
---|
148 | r = new gmp_complex( (gmp_complex)1 / (*(gmp_complex*)a) ); |
---|
149 | } |
---|
150 | return (number)r; |
---|
151 | } |
---|
152 | |
---|
153 | /*2 |
---|
154 | * u:= a + b |
---|
155 | */ |
---|
156 | static number ngcAdd (number a, number b, const coeffs R) |
---|
157 | { |
---|
158 | assume( getCoeffType(R) == n_long_C ); |
---|
159 | |
---|
160 | gmp_complex* r= new gmp_complex( (*(gmp_complex*)a) + (*(gmp_complex*)b) ); |
---|
161 | return (number)r; |
---|
162 | } |
---|
163 | |
---|
164 | /*2 |
---|
165 | * u:= a - b |
---|
166 | */ |
---|
167 | static number ngcSub (number a, number b, const coeffs R) |
---|
168 | { |
---|
169 | assume( getCoeffType(R) == n_long_C ); |
---|
170 | |
---|
171 | gmp_complex* r= new gmp_complex( (*(gmp_complex*)a) - (*(gmp_complex*)b) ); |
---|
172 | return (number)r; |
---|
173 | } |
---|
174 | |
---|
175 | /*2 |
---|
176 | * u := a * b |
---|
177 | */ |
---|
178 | static number ngcMult (number a, number b, const coeffs R) |
---|
179 | { |
---|
180 | assume( getCoeffType(R) == n_long_C ); |
---|
181 | |
---|
182 | gmp_complex* r= new gmp_complex( (*(gmp_complex*)a) * (*(gmp_complex*)b) ); |
---|
183 | return (number)r; |
---|
184 | } |
---|
185 | |
---|
186 | /*2 |
---|
187 | * u := a / b |
---|
188 | */ |
---|
189 | static number ngcDiv (number a, number b, const coeffs r) |
---|
190 | { |
---|
191 | assume( getCoeffType(r) == n_long_C ); |
---|
192 | |
---|
193 | if (((gmp_complex*)b)->isZero()) |
---|
194 | { |
---|
195 | // a/0 = error |
---|
196 | WerrorS(nDivBy0); |
---|
197 | return NULL; |
---|
198 | } |
---|
199 | gmp_complex* res = new gmp_complex( (*(gmp_complex*)a) / (*(gmp_complex*)b) ); |
---|
200 | return (number)res; |
---|
201 | } |
---|
202 | |
---|
203 | /*2 |
---|
204 | * u:= x ^ exp |
---|
205 | */ |
---|
206 | static void ngcPower ( number x, int exp, number * u, const coeffs r) |
---|
207 | { |
---|
208 | assume( getCoeffType(r) == n_long_C ); |
---|
209 | |
---|
210 | if ( exp == 0 ) |
---|
211 | { |
---|
212 | gmp_complex* n = new gmp_complex(1); |
---|
213 | *u=(number)n; |
---|
214 | return; |
---|
215 | } |
---|
216 | else if ( exp == 1 ) |
---|
217 | { |
---|
218 | n_New(u, r); |
---|
219 | gmp_complex* n = new gmp_complex(); |
---|
220 | *n= *(gmp_complex*)x; |
---|
221 | *u=(number)n; |
---|
222 | return; |
---|
223 | } |
---|
224 | else if (exp == 2) |
---|
225 | { |
---|
226 | n_New(u, r); |
---|
227 | gmp_complex* n = new gmp_complex(); |
---|
228 | *n= *(gmp_complex*)x; |
---|
229 | *u=(number)n; |
---|
230 | *(gmp_complex*)(*u) *= *(gmp_complex*)n; |
---|
231 | return; |
---|
232 | } |
---|
233 | if ( (exp & 1) == 1 ) |
---|
234 | { |
---|
235 | ngcPower(x,exp-1,u, r); |
---|
236 | gmp_complex *n = new gmp_complex(); |
---|
237 | *n=*(gmp_complex*)x; |
---|
238 | *(gmp_complex*)(*u) *= *(gmp_complex*)n; |
---|
239 | delete n; |
---|
240 | } |
---|
241 | else |
---|
242 | { |
---|
243 | number w; |
---|
244 | n_New(&w, r); |
---|
245 | ngcPower(x,exp/2,&w, r); |
---|
246 | ngcPower(w,2,u, r); |
---|
247 | n_Delete(&w, r); |
---|
248 | } |
---|
249 | } |
---|
250 | |
---|
251 | static number ngcRePart(number a, const coeffs r) |
---|
252 | { |
---|
253 | assume( getCoeffType(r) == n_long_C ); |
---|
254 | |
---|
255 | gmp_complex* n = new gmp_complex(((gmp_complex*)a)->real()); |
---|
256 | return (number)n; |
---|
257 | } |
---|
258 | |
---|
259 | static number ngcImPart(number a, const coeffs r) |
---|
260 | { |
---|
261 | assume( getCoeffType(r) == n_long_C ); |
---|
262 | |
---|
263 | gmp_complex* n = new gmp_complex(((gmp_complex*)a)->imag()); |
---|
264 | return (number)n; |
---|
265 | } |
---|
266 | |
---|
267 | /*2 |
---|
268 | * za >= 0 ? |
---|
269 | */ |
---|
270 | static BOOLEAN ngcGreaterZero (number a, const coeffs r) |
---|
271 | { |
---|
272 | assume( getCoeffType(r) == n_long_C ); |
---|
273 | |
---|
274 | if ( ! ((gmp_complex*)a)->imag().isZero() ) |
---|
275 | return ( abs( *(gmp_complex*)a).sign() >= 0 ); |
---|
276 | else |
---|
277 | return ( ((gmp_complex*)a)->real().sign() >= 0 ); |
---|
278 | } |
---|
279 | |
---|
280 | /*2 |
---|
281 | * a > b ? |
---|
282 | */ |
---|
283 | static BOOLEAN ngcGreater (number a, number b, const coeffs r) |
---|
284 | { |
---|
285 | assume( getCoeffType(r) == n_long_C ); |
---|
286 | |
---|
287 | gmp_complex *aa=(gmp_complex*)a; |
---|
288 | gmp_complex *bb=(gmp_complex*)b; |
---|
289 | return (*aa) > (*bb); |
---|
290 | } |
---|
291 | |
---|
292 | /*2 |
---|
293 | * a = b ? |
---|
294 | */ |
---|
295 | static BOOLEAN ngcEqual (number a, number b, const coeffs r) |
---|
296 | { |
---|
297 | assume( getCoeffType(r) == n_long_C ); |
---|
298 | |
---|
299 | gmp_complex *aa=(gmp_complex*)a; |
---|
300 | gmp_complex *bb=(gmp_complex*)b; |
---|
301 | return (*aa) == (*bb); |
---|
302 | } |
---|
303 | |
---|
304 | /*2 |
---|
305 | * a == 1 ? |
---|
306 | */ |
---|
307 | static BOOLEAN ngcIsOne (number a, const coeffs r) |
---|
308 | { |
---|
309 | assume( getCoeffType(r) == n_long_C ); |
---|
310 | |
---|
311 | return (((gmp_complex*)a)->real().isOne() && ((gmp_complex*)a)->imag().isZero()); |
---|
312 | //return (((gmp_complex*)a)->real().isOne()); |
---|
313 | } |
---|
314 | |
---|
315 | /*2 |
---|
316 | * a == -1 ? |
---|
317 | */ |
---|
318 | static BOOLEAN ngcIsMOne (number a, const coeffs r) |
---|
319 | { |
---|
320 | assume( getCoeffType(r) == n_long_C ); |
---|
321 | |
---|
322 | return (((gmp_complex*)a)->real().isMOne() && ((gmp_complex*)a)->imag().isZero()); |
---|
323 | //return (((gmp_complex*)a)->real().isMOne()); |
---|
324 | } |
---|
325 | |
---|
326 | /*2 |
---|
327 | * extracts the number a from s, returns the rest |
---|
328 | */ |
---|
329 | static const char * ngcRead (const char * s, number * a, const coeffs r) |
---|
330 | { |
---|
331 | assume( getCoeffType(r) == n_long_C ); |
---|
332 | const char * const complex_parameter = n_ParameterNames(r)[0]; |
---|
333 | assume( complex_parameter != NULL ); |
---|
334 | const int N = strlen(complex_parameter); |
---|
335 | |
---|
336 | if ((*s >= '0') && (*s <= '9')) |
---|
337 | { |
---|
338 | gmp_float *re=NULL; |
---|
339 | s=ngfRead(s,(number *)&re, r); // FIXME? TODO? // extern const char * ngfRead (const char *s, number *a, const coeffs r); |
---|
340 | gmp_complex *aa=new gmp_complex(*re); |
---|
341 | *a=(number)aa; |
---|
342 | delete re; |
---|
343 | } |
---|
344 | else if (strncmp(s, complex_parameter, N)==0) |
---|
345 | { |
---|
346 | s += N; |
---|
347 | gmp_complex *aa=new gmp_complex(0L,1L); |
---|
348 | *a=(number)aa; |
---|
349 | } |
---|
350 | else |
---|
351 | { |
---|
352 | *a=(number) new gmp_complex(1L); |
---|
353 | } |
---|
354 | return s; |
---|
355 | } |
---|
356 | |
---|
357 | |
---|
358 | |
---|
359 | /*2 |
---|
360 | * write a floating point number |
---|
361 | */ |
---|
362 | static void ngcWrite (number a, const coeffs r) |
---|
363 | { |
---|
364 | assume( getCoeffType(r) == n_long_C ); |
---|
365 | |
---|
366 | if (a==NULL) |
---|
367 | StringAppendS("0"); |
---|
368 | else |
---|
369 | { |
---|
370 | char *out; |
---|
371 | out= complexToStr(*(gmp_complex*)a, r->float_len, r); |
---|
372 | StringAppendS(out); |
---|
373 | // omFreeSize((void *)out, (strlen(out)+1)* sizeof(char) ); |
---|
374 | omFree( (void *)out ); |
---|
375 | } |
---|
376 | } |
---|
377 | |
---|
378 | static BOOLEAN ngcCoeffIsEqual (const coeffs r, n_coeffType n, void * parameter) |
---|
379 | { |
---|
380 | if (n==n_long_C) |
---|
381 | { |
---|
382 | LongComplexInfo* p = (LongComplexInfo *)(parameter); |
---|
383 | |
---|
384 | if ((p==NULL) |
---|
385 | && (SHORT_REAL_LENGTH==r->float_len) |
---|
386 | && (SHORT_REAL_LENGTH==r->float_len2) |
---|
387 | && (strcmp("i",n_ParameterNames(r)[0]) == 0) |
---|
388 | ) |
---|
389 | return TRUE; |
---|
390 | if ((p!=NULL) && |
---|
391 | (p->float_len == r->float_len) && |
---|
392 | (p->float_len2 == r->float_len2) |
---|
393 | ) |
---|
394 | if (strcmp(p->par_name, n_ParameterNames(r)[0]) == 0) |
---|
395 | return (TRUE); |
---|
396 | } |
---|
397 | return (FALSE); |
---|
398 | } |
---|
399 | |
---|
400 | static void ngcKillChar(coeffs r) |
---|
401 | { |
---|
402 | char** p = (char**)n_ParameterNames(r); |
---|
403 | |
---|
404 | const int P = n_NumberOfParameters(r); |
---|
405 | |
---|
406 | for( int i = 1; i <= P; i++ ) |
---|
407 | if (p[i-1] != NULL) |
---|
408 | omFree( (ADDRESS)p[i-1] ); |
---|
409 | |
---|
410 | omFreeSize((ADDRESS)p, P * sizeof(char*)); |
---|
411 | } |
---|
412 | |
---|
413 | static char* ngcCoeffString(const coeffs r) |
---|
414 | { |
---|
415 | const char *p=n_ParameterNames(r)[0]; |
---|
416 | char *s=(char*)omAlloc(31+strlen(p)); |
---|
417 | sprintf(s,"complex,%d,%d,%s",r->float_len,r->float_len2,p); |
---|
418 | return s; |
---|
419 | } |
---|
420 | |
---|
421 | static char* ngcCoeffName(const coeffs r) |
---|
422 | { |
---|
423 | static char ngcCoeffName_buf[40]; |
---|
424 | const char *p=n_ParameterNames(r)[0]; |
---|
425 | if (ngcCoeffName_buf!=NULL) omFree(ngcCoeffName_buf); |
---|
426 | sprintf(ngcCoeffName_buf,"complex,%d,%d,%s",r->float_len,r->float_len2,p); |
---|
427 | return ngcCoeffName_buf; |
---|
428 | } |
---|
429 | |
---|
430 | static void ngcCoeffWrite (const coeffs r, BOOLEAN /*details*/) |
---|
431 | { |
---|
432 | Print("real[%s](complex:%d digits, additional %d digits)/(%s^2+1)",n_ParameterNames(r)[0], |
---|
433 | r->float_len, r->float_len2, n_ParameterNames(r)[0]); /* long C */ |
---|
434 | } |
---|
435 | |
---|
436 | static number ngcMapQ(number from, const coeffs aRing, const coeffs r) |
---|
437 | { |
---|
438 | assume( getCoeffType(r) == n_long_C ); |
---|
439 | assume( aRing->rep == n_rep_gap_rat); |
---|
440 | |
---|
441 | if ( from != NULL ) |
---|
442 | { |
---|
443 | gmp_complex *res=new gmp_complex(numberFieldToFloat(from,QTOF)); |
---|
444 | return (number)res; |
---|
445 | } |
---|
446 | else |
---|
447 | return NULL; |
---|
448 | } |
---|
449 | |
---|
450 | static number ngcMapZ(number from, const coeffs aRing, const coeffs r) |
---|
451 | { |
---|
452 | assume( getCoeffType(r) == n_long_C ); |
---|
453 | assume( aRing->rep == n_rep_gap_gmp); |
---|
454 | |
---|
455 | if ( from != NULL ) |
---|
456 | { |
---|
457 | if (SR_HDL(from) & SR_INT) |
---|
458 | { |
---|
459 | gmp_float f_i= gmp_float(SR_TO_INT(from)); |
---|
460 | gmp_complex *res=new gmp_complex(f_i); |
---|
461 | return (number)res; |
---|
462 | } |
---|
463 | gmp_float f_i=(mpz_ptr)from; |
---|
464 | gmp_complex *res=new gmp_complex(f_i); |
---|
465 | return (number)res; |
---|
466 | } |
---|
467 | else |
---|
468 | return NULL; |
---|
469 | } |
---|
470 | |
---|
471 | static number ngcMapLongR(number from, const coeffs aRing, const coeffs r) |
---|
472 | { |
---|
473 | assume( getCoeffType(r) == n_long_C ); |
---|
474 | assume( getCoeffType(aRing) == n_long_R ); |
---|
475 | |
---|
476 | if ( from != NULL ) |
---|
477 | { |
---|
478 | gmp_complex *res=new gmp_complex(*((gmp_float *)from)); |
---|
479 | return (number)res; |
---|
480 | } |
---|
481 | else |
---|
482 | return NULL; |
---|
483 | } |
---|
484 | |
---|
485 | static number ngcMapR(number from, const coeffs aRing, const coeffs r) |
---|
486 | { |
---|
487 | assume( getCoeffType(r) == n_long_C ); |
---|
488 | assume( getCoeffType(aRing) == n_R ); |
---|
489 | |
---|
490 | if ( from != NULL ) |
---|
491 | { |
---|
492 | gmp_complex *res=new gmp_complex((double)nrFloat(from)); |
---|
493 | return (number)res; |
---|
494 | } |
---|
495 | else |
---|
496 | return NULL; |
---|
497 | } |
---|
498 | |
---|
499 | static number ngcMapP(number from, const coeffs aRing, const coeffs r) |
---|
500 | { |
---|
501 | assume( getCoeffType(r) == n_long_C ); |
---|
502 | assume( getCoeffType(aRing) == n_Zp ); |
---|
503 | |
---|
504 | if ( from != NULL ) |
---|
505 | return ngcInit(npInt(from, aRing), r); // FIXME? TODO? // extern int npInt (number &n, const coeffs r); |
---|
506 | else |
---|
507 | return NULL; |
---|
508 | } |
---|
509 | |
---|
510 | static number ngcCopyMap(number from, const coeffs aRing, const coeffs r) |
---|
511 | { |
---|
512 | assume( getCoeffType(r) == n_long_C ); |
---|
513 | assume( getCoeffType(aRing) == n_long_C ); |
---|
514 | |
---|
515 | gmp_complex* b = NULL; |
---|
516 | |
---|
517 | if ( from != NULL ) |
---|
518 | { |
---|
519 | b = new gmp_complex( *(gmp_complex*)from ); |
---|
520 | } |
---|
521 | return (number)b; |
---|
522 | } |
---|
523 | |
---|
524 | static nMapFunc ngcSetMap(const coeffs src, const coeffs dst) |
---|
525 | { |
---|
526 | assume( getCoeffType(dst) == n_long_C ); |
---|
527 | |
---|
528 | if (src->rep==n_rep_gap_rat) /* Q, Z*/ |
---|
529 | { |
---|
530 | return ngcMapQ; |
---|
531 | } |
---|
532 | if (src->rep==n_rep_gap_gmp) /* Z */ |
---|
533 | { |
---|
534 | return ngcMapZ; |
---|
535 | } |
---|
536 | if ((src->rep==n_rep_gmp_float) && nCoeff_is_long_R(src)) |
---|
537 | { |
---|
538 | return ngcMapLongR; |
---|
539 | } |
---|
540 | if ((src->rep==n_rep_gmp_complex) && nCoeff_is_long_C(src)) |
---|
541 | { |
---|
542 | return ngcCopyMap; |
---|
543 | } |
---|
544 | if ((src->rep==n_rep_float) && nCoeff_is_R(src)) |
---|
545 | { |
---|
546 | return ngcMapR; |
---|
547 | } |
---|
548 | if ((src->rep==n_rep_int) && nCoeff_is_Zp(src)) |
---|
549 | { |
---|
550 | return ngcMapP; |
---|
551 | } |
---|
552 | return NULL; |
---|
553 | } |
---|
554 | |
---|
555 | BOOLEAN ngcInitChar(coeffs n, void* parameter) |
---|
556 | { |
---|
557 | assume( getCoeffType(n) == n_long_C ); |
---|
558 | n->is_field=TRUE; |
---|
559 | n->is_domain=TRUE; |
---|
560 | n->rep=n_rep_gmp_complex; |
---|
561 | |
---|
562 | n->cfKillChar = ngcKillChar; |
---|
563 | n->ch = 0; |
---|
564 | n->cfCoeffString=ngcCoeffString; |
---|
565 | n->cfCoeffName=ngcCoeffName; |
---|
566 | |
---|
567 | n->cfDelete = ngcDelete; |
---|
568 | //n->cfNormalize=ndNormalize; |
---|
569 | n->cfInit = ngcInit; |
---|
570 | n->cfInt = ngcInt; |
---|
571 | n->cfAdd = ngcAdd; |
---|
572 | n->cfSub = ngcSub; |
---|
573 | n->cfMult = ngcMult; |
---|
574 | n->cfDiv = ngcDiv; |
---|
575 | n->cfExactDiv= ngcDiv; |
---|
576 | n->cfInpNeg = ngcNeg; |
---|
577 | n->cfInvers = ngcInvers; |
---|
578 | n->cfCopy = ngcCopy; |
---|
579 | n->cfGreater = ngcGreater; |
---|
580 | n->cfEqual = ngcEqual; |
---|
581 | n->cfIsZero = ngcIsZero; |
---|
582 | n->cfIsOne = ngcIsOne; |
---|
583 | n->cfIsMOne = ngcIsMOne; |
---|
584 | n->cfGreaterZero = ngcGreaterZero; |
---|
585 | |
---|
586 | n->cfWriteLong = ngcWrite; |
---|
587 | n->cfWriteShort = ngcWrite; |
---|
588 | |
---|
589 | n->cfRead = ngcRead; |
---|
590 | n->cfPower = ngcPower; |
---|
591 | n->cfSetMap = ngcSetMap; |
---|
592 | n->cfRePart = ngcRePart; |
---|
593 | n->cfImPart = ngcImPart; |
---|
594 | n->cfCoeffWrite = ngcCoeffWrite; |
---|
595 | // cfSize = ndSize; |
---|
596 | #ifdef LDEBUG |
---|
597 | //n->cfDBTest = ndDBTest; // not yet implemented: ngcDBTest |
---|
598 | #endif |
---|
599 | |
---|
600 | n->nCoeffIsEqual = ngcCoeffIsEqual; |
---|
601 | |
---|
602 | n->cfSetChar=ngcSetChar; |
---|
603 | |
---|
604 | /* |
---|
605 | //r->cfInitChar=nlInitChar; |
---|
606 | r->cfKillChar=NULL; |
---|
607 | |
---|
608 | r->cfMult = nlMult; |
---|
609 | r->cfSub = nlSub; |
---|
610 | r->cfAdd = nlAdd; |
---|
611 | r->cfDiv = nlDiv; |
---|
612 | r->cfIntMod= nlIntMod; |
---|
613 | r->cfExactDiv= nlExactDiv; |
---|
614 | r->cfInit = nlInit; |
---|
615 | r->cfSize = nlSize; |
---|
616 | r->cfInt = nlInt; |
---|
617 | #ifdef HAVE_RINGS |
---|
618 | r->cfDivComp = NULL; // only for ring stuff |
---|
619 | r->cfIsUnit = NULL; // only for ring stuff |
---|
620 | r->cfGetUnit = NULL; // only for ring stuff |
---|
621 | r->cfExtGcd = NULL; // only for ring stuff |
---|
622 | #endif |
---|
623 | r->cfInpNeg = nlNeg; |
---|
624 | r->cfInvers= nlInvers; |
---|
625 | r->cfCopy = nl_Copy; |
---|
626 | r->cfRePart = nl_Copy; |
---|
627 | r->cfImPart = ndReturn0; |
---|
628 | r->cfWriteLong = nlWrite; |
---|
629 | r->cfRead = nlRead; |
---|
630 | r->cfNormalize=nlNormalize; |
---|
631 | r->cfGreater = nlGreater; |
---|
632 | #ifdef HAVE_RINGS |
---|
633 | r->cfDivBy = NULL; // only for ring stuff |
---|
634 | #endif |
---|
635 | r->cfEqual = nlEqual; |
---|
636 | r->cfIsZero = nlIsZero; |
---|
637 | r->cfIsOne = nlIsOne; |
---|
638 | r->cfIsMOne = nlIsMOne; |
---|
639 | r->cfGreaterZero = nlGreaterZero; |
---|
640 | r->cfPower = nlPower; |
---|
641 | r->cfGetDenom = nlGetDenom; |
---|
642 | r->cfGetNumerator = nlGetNumerator; |
---|
643 | r->cfGcd = nlGcd; |
---|
644 | r->cfLcm = nlLcm; |
---|
645 | r->cfDelete= nlDelete; |
---|
646 | r->cfSetMap = nlSetMap; |
---|
647 | r->cfName = ndName; |
---|
648 | r->cfInpMult=nlInpMult; |
---|
649 | r->cfInit_bigint=nlCopyMap; |
---|
650 | #ifdef LDEBUG |
---|
651 | // debug stuff |
---|
652 | r->cfDBTest=nlDBTest; |
---|
653 | #endif |
---|
654 | |
---|
655 | // the variables: |
---|
656 | r->type = n_Q; |
---|
657 | r->ch = 0; |
---|
658 | r->has_simple_Alloc=FALSE; |
---|
659 | r->has_simple_Inverse=FALSE; |
---|
660 | */ |
---|
661 | |
---|
662 | n->iNumberOfParameters = 1; |
---|
663 | n->cfParameter = ngcParameter; |
---|
664 | |
---|
665 | char ** pParameterNames = (char **) omAlloc0(sizeof(char *)); |
---|
666 | |
---|
667 | if( parameter != NULL) |
---|
668 | { |
---|
669 | LongComplexInfo* p = (LongComplexInfo*)parameter; |
---|
670 | pParameterNames[0] = omStrDup(p->par_name); |
---|
671 | // fix wrong parameters: |
---|
672 | if (p->float_len<SHORT_REAL_LENGTH) p->float_len=SHORT_REAL_LENGTH; |
---|
673 | n->float_len = p->float_len; |
---|
674 | n->float_len2 = p->float_len2; |
---|
675 | |
---|
676 | } else // default values, just for testing! |
---|
677 | { |
---|
678 | pParameterNames[0] = omStrDup("i"); |
---|
679 | n->float_len = SHORT_REAL_LENGTH; |
---|
680 | n->float_len2 = SHORT_REAL_LENGTH; |
---|
681 | } |
---|
682 | |
---|
683 | assume( pParameterNames != NULL ); |
---|
684 | assume( pParameterNames[0] != NULL ); |
---|
685 | |
---|
686 | n->pParameterNames = (const char**)pParameterNames; |
---|
687 | |
---|
688 | // NOTE: n->complex_parameter was replaced by n_ParameterNames(n)[0] |
---|
689 | // TODO: nfKillChar MUST destroy n->pParameterNames[0] (0-term. string) && n->pParameterNames (array of size 1) |
---|
690 | |
---|
691 | return FALSE; |
---|
692 | } |
---|
693 | |
---|
694 | void ngcSetChar(const coeffs r) |
---|
695 | { |
---|
696 | setGMPFloatDigits(r->float_len, r->float_len2); |
---|
697 | } |
---|
698 | |
---|
699 | |
---|
700 | |
---|