Annotation of OpenXM_contrib2/asir2000/builtin/parif.c, Revision 1.15
1.3 noro 1: /*
2: * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
3: * All rights reserved.
4: *
5: * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
6: * non-exclusive and royalty-free license to use, copy, modify and
7: * redistribute, solely for non-commercial and non-profit purposes, the
8: * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
9: * conditions of this Agreement. For the avoidance of doubt, you acquire
10: * only a limited right to use the SOFTWARE hereunder, and FLL or any
11: * third party developer retains all rights, including but not limited to
12: * copyrights, in and to the SOFTWARE.
13: *
14: * (1) FLL does not grant you a license in any way for commercial
15: * purposes. You may use the SOFTWARE only for non-commercial and
16: * non-profit purposes only, such as academic, research and internal
17: * business use.
18: * (2) The SOFTWARE is protected by the Copyright Law of Japan and
19: * international copyright treaties. If you make copies of the SOFTWARE,
20: * with or without modification, as permitted hereunder, you shall affix
21: * to all such copies of the SOFTWARE the above copyright notice.
22: * (3) An explicit reference to this SOFTWARE and its copyright owner
23: * shall be made on your publication or presentation in any form of the
24: * results obtained by use of the SOFTWARE.
25: * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
1.4 noro 26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
1.3 noro 27: * for such modification or the source code of the modified part of the
28: * SOFTWARE.
29: *
30: * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
31: * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
32: * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
33: * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
34: * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
35: * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
36: * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
37: * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
38: * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
39: * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
40: * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
41: * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
42: * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
43: * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
44: * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
45: * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
46: * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
47: *
1.15 ! ohara 48: * $OpenXM: OpenXM_contrib2/asir2000/builtin/parif.c,v 1.14 2003/02/14 22:29:07 ohara Exp $
1.3 noro 49: */
1.1 noro 50: #include "ca.h"
51: #include "parse.h"
52:
1.14 ohara 53: #if defined(PARI)
1.1 noro 54: #include "genpari.h"
55:
56: extern long prec;
57:
58: void patori(GEN,Obj *);
59: void patori_i(GEN,N *);
60: void ritopa(Obj,GEN *);
61: void ritopa_i(N,int,GEN *);
62:
1.11 noro 63: void Ptodouble();
1.1 noro 64: void Peval(),Psetprec(),p_pi(),p_e(),p_mul(),p_gcd();
1.5 noro 65: void asir_cgiv(GEN);
1.1 noro 66:
1.7 saito 67: #if defined(INTERVAL) || 1
68: void Psetprecword();
69: #endif
70:
1.1 noro 71: struct ftab pari_tab[] = {
1.7 saito 72: {"eval",Peval,-2},
73: {"setprec",Psetprec,-1},
1.11 noro 74: {"todouble",Ptodouble,1},
1.7 saito 75: #if defined(INTERVAL) || 1
76: {"setprecword",Psetprecword,-1},
77: #endif
78: {0,0,0},
1.1 noro 79: };
80:
81: #define MKPREC(a,i,b) (argc(a)==(i)?mkprec(QTOS((Q)(b))):prec)
82:
83: #define CALLPARI1(f,a,p,r)\
1.5 noro 84: ritopa((Obj)a,&_pt1_); _pt2_ = f(_pt1_,p); patori(_pt2_,r); asir_cgiv(_pt2_); asir_cgiv(_pt1_)
1.1 noro 85: #define CALLPARI2(f,a,b,p,r)\
1.5 noro 86: ritopa((Obj)a,&_pt1_); ritopa((Obj)b,&_pt2_); _pt3_ = f(_pt1_,_pt2_,p); patori(_pt3_,r); asir_cgiv(_pt3_); asir_cgiv(_pt2_); asir_cgiv(_pt1_)
1.1 noro 87:
88: #define PARIF1P(f,pf)\
89: void f(NODE,Obj *);\
90: void f(ar,rp) NODE ar; Obj *rp;\
91: { GEN _pt1_,_pt2_; CALLPARI1(pf,ARG0(ar),MKPREC(ar,2,ARG1(ar)),rp); }
92: #define PARIF2P(f,pf)\
93: void f(NODE,Obj *);\
94: void f(ar,rp) NODE ar; Obj *rp;\
95: { GEN _pt1_,_pt2_,_pt3_; CALLPARI2(pf,ARG0(ar),ARG1(ar),MKPREC(ar,3,ARG2(ar)),rp); }
96:
1.7 saito 97: #if defined(INTERVAL)
98: #define PREC_CONV pariK1
1.15 ! ohara 99: #elif SIZEOF_LONG == 4
1.1 noro 100: #define PREC_CONV 0.103810253
1.15 ! ohara 101: #elif SIZEOF_LONG == 8
1.1 noro 102: #define PREC_CONV 0.051905126
103: #endif
104:
1.5 noro 105: /* XXX : we should be more careful when we free PARI pointers. */
106:
107: void asir_cgiv(ptr)
108: GEN ptr;
109: {
110: if ( ptr != gzero && ptr != gun
111: && ptr != gdeux && ptr != ghalf
112: && ptr != polvar && ptr != gi )
113: cgiv(ptr);
114: }
115:
1.1 noro 116: mkprec(p)
117: int p;
118: {
1.10 noro 119: if ( p <= 0 )
120: p = 1;
121: return (int)(p*PREC_CONV+3);
1.11 noro 122: }
123:
124: void Ptodouble(arg,rp)
125: NODE arg;
126: Num *rp;
127: {
128: double r,i;
129: Real real,imag;
130: Num num;
131:
132: asir_assert(ARG0(arg),O_N,"todouble");
133: num = (Num)ARG0(arg);
134: if ( !num ) {
135: *rp = 0;
136: return;
137: }
138: switch ( NID(num) ) {
139: case N_R: case N_Q: case N_B:
140: r = ToReal(num);
141: MKReal(r,real);
142: *rp = (Num)real;
143: break;
144: case N_C:
145: r = ToReal(((C)num)->r);
146: i = ToReal(((C)num)->i);
147: MKReal(r,real);
148: MKReal(i,imag);
149: reimtocplx((Num)real,(Num)imag,rp);
150: break;
151: default:
152: *rp = num;
153: break;
154: }
1.1 noro 155: }
156:
157: void Peval(arg,rp)
158: NODE arg;
159: Obj *rp;
160: {
161: asir_assert(ARG0(arg),O_R,"eval");
162: evalr(CO,(Obj)ARG0(arg),argc(arg)==2?QTOS((Q)ARG1(arg)):0,rp);
163: }
164:
165: void Psetprec(arg,rp)
166: NODE arg;
167: Obj *rp;
168: {
169: int p;
170: Q q;
171:
1.7 saito 172: #if defined(INTERVAL) || 1
173: p = (int)((prec-2)/PREC_CONV); STOQ(p,q); *rp = (Obj)q;
174: if ( arg ) {
175: asir_assert(ARG0(arg),O_N,"setprec");
176: p = QTOS((Q)ARG0(arg));
177: if ( p > 0 )
178: prec = (long)(p*PREC_CONV+3);
179: }
180: #else
1.1 noro 181: p = (int)((prec-3)/PREC_CONV); STOQ(p,q); *rp = (Obj)q;
182: if ( arg ) {
183: asir_assert(ARG0(arg),O_N,"setprec");
184: prec = mkprec(QTOS((Q)ARG0(arg)));
185: }
1.7 saito 186: #endif
1.1 noro 187: }
1.7 saito 188:
189: #if defined(INTERVAL) || 1
190: void Psetprecword(arg,rp)
191: NODE arg;
192: Obj *rp;
193: {
194: int p;
195: Q q;
196:
197: p = (int)((prec-2)); STOQ(p,q); *rp = (Obj)q;
198: if ( arg ) {
199: asir_assert(ARG0(arg),O_N,"setprecword");
200: p = QTOS((Q)ARG0(arg));
201: if ( p > 0 ) {
202: prec = p + 2;
203: }
204: }
205: }
206: #endif
1.1 noro 207:
208: void p_pi(arg,rp)
209: NODE arg;
210: Obj *rp;
211: {
212: GEN x;
213:
214: x = mppi(MKPREC(arg,1,ARG0(arg)));
1.5 noro 215: patori(x,rp); asir_cgiv(x);
1.1 noro 216: }
217:
218: void p_e(arg,rp)
219: NODE arg;
220: Obj *rp;
221: {
222: GEN x;
223:
1.5 noro 224: x = gexp(gun,MKPREC(arg,1,ARG0(arg))); patori(x,rp); asir_cgiv(x);
1.1 noro 225: }
226:
227: void p_mul(a,b,r)
228: Obj a,b,*r;
229: {
230: GEN p1,p2,p3;
231:
232: ritopa((Obj)a,&p1); ritopa((Obj)b,&p2);
233: p3 = mulii(p1,p2);
1.5 noro 234: patori(p3,r); asir_cgiv(p3); asir_cgiv(p2); asir_cgiv(p1);
1.1 noro 235: }
236:
237: void p_gcd(a,b,r)
238: N a,b,*r;
239: {
240: GEN p1,p2,p3;
241:
242: ritopa_i(a,1,&p1); ritopa_i(b,1,&p2);
243: p3 = mppgcd(p1,p2);
1.5 noro 244: patori_i(p3,r); asir_cgiv(p3); asir_cgiv(p2); asir_cgiv(p1);
1.1 noro 245: }
246:
247: PARIF1P(p_sin,gsin) PARIF1P(p_cos,gcos) PARIF1P(p_tan,gtan)
248: PARIF1P(p_asin,gasin) PARIF1P(p_acos,gacos) PARIF1P(p_atan,gatan)
249: PARIF1P(p_sinh,gsh) PARIF1P(p_cosh,gch) PARIF1P(p_tanh,gth)
250: PARIF1P(p_asinh,gash) PARIF1P(p_acosh,gach) PARIF1P(p_atanh,gath)
251: PARIF1P(p_exp,gexp) PARIF1P(p_log,glog)
252: PARIF1P(p_dilog,dilog) PARIF1P(p_erf,gerfc)
253: PARIF1P(p_eigen,eigen) PARIF1P(p_roots,roots)
254:
255: PARIF2P(p_pow,gpui)
256:
257: pointer evalparif(f,arg)
258: FUNC f;
259: NODE arg;
260: {
261: GEN a,v;
262: long ltop,lbot;
263: pointer r;
1.9 noro 264: int ac,opt,intarg,ret;
1.1 noro 265: char buf[BUFSIZ];
1.9 noro 266: Q q;
1.8 noro 267: GEN (*dmy)();
1.1 noro 268:
269: if ( !f->f.binf ) {
270: sprintf(buf,"pari : %s undefined.",f->name);
271: error(buf);
1.10 noro 272: /* NOTREACHED */
273: return 0;
1.1 noro 274: }
275: switch ( f->type ) {
1.9 noro 276: case 0: /* in/out : integer */
277: ac = argc(arg);
278: if ( ac > 2 ) {
279: fprintf(stderr,"argument mismatch in %s()\n",NAME(f));
280: error("");
1.10 noro 281: /* NOTREACHED */
282: return 0;
1.9 noro 283: }
284: intarg = !ac ? 0 : QTOS((Q)ARG0(arg));
285: dmy = (GEN (*)())f->f.binf;
1.10 noro 286: ret = (int)(*dmy)(intarg);
1.9 noro 287: STOQ(ret,q);
288: return (pointer)q;
289:
1.1 noro 290: case 1:
291: ac = argc(arg);
292: if ( !ac || ( ac > 2 ) ) {
293: fprintf(stderr,"argument mismatch in %s()\n",NAME(f));
294: error("");
1.10 noro 295: /* NOTREACHED */
296: return 0;
1.1 noro 297: }
298: ltop = avma;
299: ritopa((Obj)ARG0(arg),&a);
300: dmy = (GEN (*)())f->f.binf;
301: v = (*dmy)(a,MKPREC(arg,2,ARG1(arg)));
302: lbot = avma;
303: patori(v,(Obj *)&r); gerepile(ltop,lbot,0);
304: return r;
1.8 noro 305:
306: case 2:
307: ac = argc(arg);
308: if ( !ac || ( ac > 2 ) ) {
309: fprintf(stderr,"argument mismatch in %s()\n",NAME(f));
310: error("");
1.10 noro 311: /* NOTREACHED */
312: return 0;
1.8 noro 313: }
314: if ( ac == 1 )
315: opt = 0;
316: else
317: opt = QTOS((Q)ARG1(arg));
318: ltop = avma;
319: ritopa((Obj)ARG0(arg),&a);
320: dmy = (GEN (*)())f->f.binf;
321: v = (*dmy)(a,opt);
322: lbot = avma;
323: patori(v,(Obj *)&r); gerepile(ltop,lbot,0);
324: return r;
325:
1.1 noro 326: default:
327: error("evalparif : not implemented yet.");
1.10 noro 328: /* NOTREACHED */
329: return 0;
1.1 noro 330: }
331: }
332:
333: struct pariftab {
334: char *name;
335: GEN (*f)();
336: int type;
337: };
338:
1.8 noro 339: /*
340: * type = 1 => argc = 1, second arg = precision
341: * type = 2 => argc = 1, second arg = optional (long int)
342: *
343: */
344:
1.1 noro 345: struct pariftab pariftab[] = {
1.10 noro 346: {"allocatemem",(GEN(*)())allocatemoremem,0},
1.1 noro 347: {"abs",(GEN (*)())gabs,1},
348: {"adj",adj,1},
349: {"arg",garg,1},
350: {"bigomega",gbigomega,1},
351: {"binary",binaire,1},
352: {"ceil",gceil,1},
353: {"centerlift",centerlift,1},
354: {"cf",gcf,1},
355: {"classno",classno,1},
356: {"classno2",classno2,1},
357: {"conj",gconj,1},
358: {"content",content,1},
359: {"denom",denom,1},
360: {"det",det,1},
361: {"det2",det2,1},
362: {"dilog",dilog,1},
363: {"disc",discsr,1},
364: {"discf",discf,1},
365: {"divisors",divisors,1},
366: {"eigen",eigen,1},
367: {"eintg1",eint1,1},
368: {"erfc",gerfc,1},
369: {"eta",eta,1},
370: {"floor",gfloor,1},
371: {"frac",gfrac,1},
372: {"galois",galois,1},
373: {"galoisconj",galoisconj,1},
374: {"gamh",ggamd,1},
375: {"gamma",ggamma,1},
376: {"hclassno",classno3,1},
377: {"hermite",hnf,1},
378: {"hess",hess,1},
379: {"imag",gimag,1},
380: {"image",image,1},
381: {"image2",image2,1},
382: {"indexrank",indexrank,1},
383: {"indsort",indexsort,1},
384: {"initalg",initalg,1},
385: {"isfund",gisfundamental,1},
1.13 noro 386: {"isprime",gisprime,2},
1.1 noro 387: {"ispsp",gispsp,1},
388: {"isqrt",racine,1},
389: {"issqfree",gissquarefree,1},
390: {"issquare",gcarreparfait,1},
391: {"jacobi",jacobi,1},
392: {"jell",jell,1},
393: {"ker",ker,1},
394: {"keri",keri,1},
395: {"kerint",kerint,1},
396: {"kerintg1",kerint1,1},
397: {"length",(GEN(*)())glength,1},
398: {"lexsort",lexsort,1},
399: {"lift",lift,1},
400: {"lindep",lindep,1},
401: {"lll",lll,1},
402: {"lllgen",lllgen,1},
403: {"lllgram",lllgram,1},
404: {"lllgramgen",lllgramgen,1},
405: {"lllgramint",lllgramint,1},
406: {"lllgramkerim",lllgramkerim,1},
407: {"lllgramkerimgen",lllgramkerimgen,1},
408: {"lllint",lllint,1},
409: {"lllkerim",lllkerim,1},
410: {"lllkerimgen",lllkerimgen,1},
411: {"lngamma",glngamma,1},
412: {"logagm",glogagm,1},
413: {"mat",gtomat,1},
414: {"matrixqz2",matrixqz2,1},
415: {"matrixqz3",matrixqz3,1},
416: {"matsize",matsize,1},
417: {"modreverse",polymodrecip,1},
418: {"mu",gmu,1},
419: {"nextprime",nextprime,1},
420: {"norm",gnorm,1},
421: {"norml2",gnorml2,1},
422: {"numdiv",numbdiv,1},
423: {"numer",numer,1},
424: {"omega",gomega,1},
425: {"order",order,1},
426: {"ordred",ordred,1},
427: {"phi",phi,1},
428: {"pnqn",pnqn,1},
429: {"polred",polred,1},
430: {"polred2",polred2,1},
431: {"primroot",gener,1},
432: {"psi",gpsi,1},
433: {"quadgen",quadgen ,1},
434: {"quadpoly",quadpoly ,1},
435: {"real",greal,1},
436: {"recip",polrecip ,1},
437: {"redreal",redreal ,1},
438: {"regula",regula ,1},
439: {"reorder",reorder ,1},
440: {"reverse",recip ,1},
441: {"rhoreal",rhoreal ,1},
442: {"roots",roots,1},
443: {"round",ground,1},
444: {"sigma",sumdiv,1},
445: {"signat",signat,1},
446: {"simplify",simplify,1},
447: {"smalldiscf",smalldiscf,1},
448: {"smallfact",smallfact,1},
449: {"smallpolred",smallpolred,1},
450: {"smallpolred2",smallpolred2,1},
451: {"smith",smith,1},
452: {"smith2",smith2,1},
453: {"sort",sort,1},
454: {"sqr",gsqr,1},
455: {"sqred",sqred,1},
456: {"sqrt",gsqrt,1},
457: {"supplement",suppl,1},
458: {"trace",gtrace,1},
459: {"trans",gtrans,1},
460: {"trunc",gtrunc,1},
461: {"unit",fundunit,1},
462: {"vec",gtovec,1},
463: {"wf",wf,1},
464: {"wf2",wf2,1},
465: {"zeta",gzeta,1},
1.9 noro 466: {"factor",factor,1},
1.8 noro 467: {"factorint",factorint,2},
1.1 noro 468: {0,0,0},
469: };
470:
471: void parif_init() {
472: int i;
473:
474: for ( i = 0, parif = 0; pariftab[i].name; i++ )
475: appendparif(&parif,pariftab[i].name, (int (*)())pariftab[i].f,pariftab[i].type);
476: }
477: #else /* PARI */
478:
479: struct ftab pari_tab[] = {
480: {0,0,0},
481: };
482:
483: void parif_init() {}
484:
1.2 noro 485: pointer evalparif(f,arg)
486: FUNC f;
487: NODE arg;
488: {
1.1 noro 489: error("evalparif : PARI is not combined.");
490: }
491: #endif /*PARI */
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