Annotation of OpenXM_contrib2/asir2000/builtin/fctr.c, Revision 1.19
1.2 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
1.3 noro 26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
1.2 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'
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35: * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
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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: *
1.19 ! noro 48: * $OpenXM: OpenXM_contrib2/asir2000/builtin/fctr.c,v 1.18 2003/01/06 01:16:38 noro Exp $
1.2 noro 49: */
1.1 noro 50: #include "ca.h"
51: #include "parse.h"
52:
53: void Pfctr(), Pgcd(), Pgcdz(), Plcm(), Psqfr(), Pufctrhint();
1.17 noro 54: void Pptozp(), Pcont(), Psfcont();
1.1 noro 55: void Pafctr(), Pagcd();
56: void Pmodsqfr(),Pmodfctr(),Pddd(),Pnewddd(),Pddd_tab();
1.15 noro 57: void Psfsqfr(),Psffctr(),Psfbfctr(),Psfufctr(),Psfmintdeg(),Psfgcd();
1.1 noro 58: void Pirred_check(), Pnfctr_mod();
1.16 noro 59: void Pbivariate_hensel_special();
1.1 noro 60:
1.11 noro 61: void sfmintdeg(VL vl,P fx,int dy,int c,P *fr);
62:
1.1 noro 63: struct ftab fctr_tab[] = {
1.16 noro 64: {"bivariate_hensel_special",Pbivariate_hensel_special,6},
1.5 noro 65: {"fctr",Pfctr,-2},
1.1 noro 66: {"gcd",Pgcd,-3},
67: {"gcdz",Pgcdz,2},
68: {"lcm",Plcm,2},
69: {"sqfr",Psqfr,1},
70: {"ufctrhint",Pufctrhint,2},
71: {"ptozp",Pptozp,1},
72: {"cont",Pcont,-2},
1.17 noro 73: {"sfcont",Psfcont,-2},
1.1 noro 74: {"afctr",Pafctr,2},
75: {"agcd",Pagcd,3},
76: {"modsqfr",Pmodsqfr,2},
77: {"modfctr",Pmodfctr,2},
1.10 noro 78: {"sfsqfr",Psfsqfr,1},
1.15 noro 79: {"sffctr",Psffctr,1},
1.10 noro 80: {"sfufctr",Psfufctr,1},
81: {"sfbfctr",Psfbfctr,-4},
1.11 noro 82: {"sfmintdeg",Psfmintdeg,5},
1.13 noro 83: {"sfgcd",Psfgcd,2},
1.1 noro 84: #if 0
85: {"ddd",Pddd,2},
86: {"newddd",Pnewddd,2},
87: #endif
88: {"ddd_tab",Pddd_tab,2},
89: {"irred_check",Pirred_check,2},
90: {"nfctr_mod",Pnfctr_mod,2},
91: {0,0,0},
92: };
1.16 noro 93:
94: /* bivariate_hensel_special(f(x,y):monic in x,g0(x),h0(y),x,y,d) */
95:
96: void Pbivariate_hensel_special(arg,rp)
97: NODE arg;
98: LIST *rp;
99: {
100: DCP dc;
101: struct oVN vn[2];
102: P f,g0,h0,ak,bk,gk,hk;
103: V vx,vy;
104: VL nvl;
105: Q qk,cbd,bb;
106: int d;
107: NODE n;
108:
109: f = (P)ARG0(arg);
110: g0 = (P)ARG1(arg);
111: h0 = (P)ARG2(arg);
112: vx = VR((P)ARG3(arg));
113: vy = VR((P)ARG4(arg));
114: d = QTOS((Q)ARG5(arg));
115: NEWVL(nvl); nvl->v = vx;
116: NEWVL(NEXT(nvl)); NEXT(nvl)->v = vy;
117: NEXT(NEXT(nvl)) = 0;
118: vn[0].v = vy; vn[0].n = 0;
119: vn[1].v = 0; vn[1].n = 0;
120: cbound(nvl,f,&cbd);
121: addq(cbd,cbd,&bb);
122: henzq1(g0,h0,bb,&bk,&ak,&qk);
123: henmv(nvl,vn,f,g0,h0,ak,bk,(P)ONE,(P)ONE,(P)ONE,(P)ONE,qk,d,&gk,&hk);
124: n = mknode(2,gk,hk);
125: MKLIST(*rp,n);
126: }
1.1 noro 127:
128: void Pfctr(arg,rp)
129: NODE arg;
130: LIST *rp;
131: {
132: DCP dc;
133:
134: asir_assert(ARG0(arg),O_P,"fctr");
1.5 noro 135: if ( argc(arg) == 1 )
136: fctrp(CO,(P)ARG0(arg),&dc);
137: else {
138: asir_assert(ARG1(arg),O_P,"fctr");
139: fctr_wrt_v_p(CO,(P)ARG0(arg),VR((P)ARG1(arg)),&dc);
140: }
1.1 noro 141: dcptolist(dc,rp);
142: }
143:
144: void Pgcd(arg,rp)
145: NODE arg;
146: P *rp;
147: {
148: P p1,p2,g1,g2,g;
149: Num m;
150: int mod;
151:
152: p1 = (P)ARG0(arg); p2 = (P)ARG1(arg);
153: asir_assert(p1,O_P,"gcd");
154: asir_assert(p2,O_P,"gcd");
155: if ( !p1 )
156: *rp = p2;
157: else if ( !p2 )
158: *rp = p1;
159: else if ( !qpcheck((Obj)p1) || !qpcheck((Obj)p2) )
1.4 noro 160: gcdprsp(CO,p1,p2,rp);
1.1 noro 161: else if ( argc(arg) == 2 )
162: ezgcdp(CO,p1,p2,rp);
163: else {
164: m = (Num)ARG2(arg);
165: asir_assert(m,O_P,"gcd");
166: mod = QTOS((Q)m);
167: ptomp(mod,p1,&g1); ptomp(mod,p2,&g2);
168: gcdprsmp(CO,mod,g1,g2,&g);
169: mptop(g,rp);
170: }
171: }
172:
173: void Pgcdz(arg,rp)
174: NODE arg;
175: P *rp;
176: {
177: P p1,p2,t;
178: Q c1,c2;
179: N n;
180:
181: p1 = (P)ARG0(arg); p2 = (P)ARG1(arg);
182: asir_assert(p1,O_P,"gcdz");
183: asir_assert(p2,O_P,"gcdz");
184: if ( !p1 )
185: *rp = p2;
186: else if ( !p2 )
187: *rp = p1;
188: else if ( !qpcheck((Obj)p1) || !qpcheck((Obj)p2) )
189: error("gcdz : invalid argument");
190: else if ( NUM(p1) || NUM(p2) ) {
191: if ( NUM(p1) )
192: c1 = (Q)p1;
193: else
194: ptozp(p1,1,&c1,&t);
195: if ( NUM(p2) )
196: c2 = (Q)p2;
197: else
198: ptozp(p2,1,&c2,&t);
199: gcdn(NM(c1),NM(c2),&n); NTOQ(n,1,c1); *rp = (P)c1;
200: } else {
201: #if 0
202: w[0] = p1; w[1] = p2; nezgcdnpz(CO,w,2,rp);
203: #endif
204: ezgcdpz(CO,p1,p2,rp);
205: }
206: }
207:
208: void Plcm(arg,rp)
209: NODE arg;
210: P *rp;
211: {
212: P t1,t2,p1,p2,g,q;
213: Q c;
214:
215: p1 = (P)ARG0(arg); p2 = (P)ARG1(arg);
216: asir_assert(p1,O_P,"lcm");
217: asir_assert(p2,O_P,"lcm");
218: if ( !p1 || !p2 )
219: *rp = 0;
220: else if ( !qpcheck((Obj)p1) || !qpcheck((Obj)p2) )
221: error("lcm : invalid argument");
222: else {
223: ptozp(p1,1,&c,&t1); ptozp(p2,1,&c,&t2);
224: ezgcdp(CO,t1,t2,&g); divsp(CO,t1,g,&q); mulp(CO,q,t2,rp);
225: }
226: }
227:
228: void Psqfr(arg,rp)
229: NODE arg;
230: LIST *rp;
231: {
232: DCP dc;
233:
234: asir_assert(ARG0(arg),O_P,"sqfr");
235: sqfrp(CO,(P)ARG0(arg),&dc);
236: dcptolist(dc,rp);
237: }
238:
239: void Pufctrhint(arg,rp)
240: NODE arg;
241: LIST *rp;
242: {
243: DCP dc;
244:
245: asir_assert(ARG0(arg),O_P,"ufctrhint");
246: asir_assert(ARG1(arg),O_N,"ufctrhint");
247: ufctr((P)ARG0(arg),QTOS((Q)ARG1(arg)),&dc);
248: dcptolist(dc,rp);
249: }
250:
251: #if 0
252: Pmgcd(arg,rp)
253: NODE arg;
254: Obj *rp;
255: {
256: NODE node,tn;
257: int i,m;
258: P *l;
259:
260: node = BDY((LIST)ARG0(arg));
261: for ( i = 0, tn = node; tn; tn = NEXT(tn), i++ );
262: m = i; l = (P *)ALLOCA(m*sizeof(P));
263: for ( i = 0, tn = node; i < m; tn = NEXT(tn), i++ )
264: l[i] = (P)BDY(tn);
265: nezgcdnpz(CO,l,m,rp);
266: }
267: #endif
268:
269: void Pcont(arg,rp)
270: NODE arg;
271: P *rp;
272: {
273: DCP dc;
274: int m;
275: P p,p1;
276: P *l;
277: V v;
278:
279: asir_assert(ARG0(arg),O_P,"cont");
280: p = (P)ARG0(arg);
281: if ( NUM(p) )
282: *rp = p;
283: else {
284: if ( argc(arg) == 2 ) {
285: v = VR((P)ARG1(arg));
286: change_mvar(CO,p,v,&p1);
287: if ( VR(p1) != v ) {
288: *rp = p1; return;
289: } else
290: p = p1;
291: }
292: for ( m = 0, dc = DC(p); dc; dc = NEXT(dc), m++ );
293: l = (P *)ALLOCA(m*sizeof(P));
294: for ( m = 0, dc = DC(p); dc; dc = NEXT(dc), m++ )
295: l[m] = COEF(dc);
296: nezgcdnpz(CO,l,m,rp);
1.17 noro 297: }
298: }
299:
300: void Psfcont(arg,rp)
301: NODE arg;
302: P *rp;
303: {
304: DCP dc;
1.18 noro 305: MP mp;
1.17 noro 306: int m;
1.18 noro 307: Obj obj;
1.17 noro 308: P p,p1;
309: P *l;
310: V v;
311:
1.18 noro 312: obj = (Obj)ARG0(arg);
313: if ( !obj || NUM(obj) )
314: *rp = (P)obj;
315: else if ( OID(obj) == O_P ) {
316: p = (P)obj;
1.17 noro 317: if ( argc(arg) == 2 ) {
318: v = VR((P)ARG1(arg));
319: change_mvar(CO,p,v,&p1);
320: if ( VR(p1) != v ) {
321: *rp = p1; return;
322: } else
323: p = p1;
324: }
325: for ( m = 0, dc = DC(p); dc; dc = NEXT(dc), m++ );
326: l = (P *)ALLOCA(m*sizeof(P));
327: for ( m = 0, dc = DC(p); dc; dc = NEXT(dc), m++ )
328: l[m] = COEF(dc);
329: gcdsf(CO,l,m,rp);
1.18 noro 330: } else if ( OID(obj) == O_DP ) {
331: for ( m = 0, mp = BDY((DP)obj); mp; mp = NEXT(mp), m++ );
332: l = (P *)ALLOCA(m*sizeof(P));
333: for ( m = 0, mp = BDY((DP)obj); mp; mp = NEXT(mp), m++)
334: l[m] = mp->c;
335: gcdsf(CO,l,m,rp);
1.1 noro 336: }
337: }
338:
339: void Pptozp(arg,rp)
340: NODE arg;
341: P *rp;
342: {
343: Q t;
344:
345: asir_assert(ARG0(arg),O_P,"ptozp");
346: ptozp((P)ARG0(arg),1,&t,rp);
347: }
348:
349: void Pafctr(arg,rp)
350: NODE arg;
351: LIST *rp;
352: {
353: DCP dc;
354:
355: asir_assert(ARG0(arg),O_P,"afctr");
356: asir_assert(ARG1(arg),O_P,"afctr");
357: afctr(CO,(P)ARG0(arg),(P)ARG1(arg),&dc);
358: dcptolist(dc,rp);
359: }
360:
361: void Pagcd(arg,rp)
362: NODE arg;
363: P *rp;
364: {
365: asir_assert(ARG0(arg),O_P,"agcd");
366: asir_assert(ARG1(arg),O_P,"agcd");
367: asir_assert(ARG2(arg),O_P,"agcd");
368: gcda(CO,(P)ARG0(arg),(P)ARG1(arg),(P)ARG2(arg),rp);
369: }
370:
371: #if 1
372: #define Mulum mulum
373: #define Divum divum
374: #define Mulsum mulsum
375: #define Gcdum gcdum
376: #endif
377:
378: void Mulum(), Mulsum(), Gcdum();
379: int Divum();
380:
381: #define FCTR 0 /* berlekamp */
382: #define SQFR 1
383: #define DDD 2 /* Cantor-Zassenhauss */
384: #define NEWDDD 3 /* berlekamp + root-finding by Cantor-Zassenhauss */
385:
386: UM *resberle();
387:
1.18 noro 388: void reduce_sfdc(DCP sfdc, DCP *dc);
389:
1.1 noro 390: void Pmodfctr(arg,rp)
391: NODE arg;
392: LIST *rp;
393: {
1.18 noro 394: DCP dc,dcu;
395: int mod,i,t;
396: P p;
397: Obj u;
398: VL vl;
1.1 noro 399:
400: mod = QTOS((Q)ARG1(arg));
401: if ( mod < 0 )
402: error("modfctr : invalid modulus");
1.18 noro 403: p = (P)ARG0(arg);
404: clctv(CO,p,&vl);
1.19 ! noro 405: if ( !vl ) {
! 406: NEWDC(dc); COEF(dc) = p; DEG(dc) = ONE; NEXT(dc) = 0;
! 407: } else if ( !NEXT(vl) )
1.18 noro 408: modfctrp(ARG0(arg),mod,NEWDDD,&dc);
409: else {
410: /* XXX 16384 should be replaced by a macro */
411: for ( i = 0, t = 1; t*mod < 16384; t *= mod, i++ );
412: current_ff = FF_GFS;
413: setmod_sf(mod,i);
414: simp_ff((Obj)p,&u);
415: mfctrsf(CO,(P)u,&dcu);
416: reduce_sfdc(dcu,&dc);
417: }
1.6 noro 418: if ( !dc ) {
419: NEWDC(dc); COEF(dc) = 0; DEG(dc) = ONE; NEXT(dc) = 0;
420: }
421: dcptolist(dc,rp);
1.13 noro 422: }
423:
424: void Psfgcd(arg,rp)
425: NODE arg;
426: LIST *rp;
427: {
428: P ps[2];
429:
430: ps[0] = (P)ARG0(arg);
431: ps[1] = (P)ARG1(arg);
432: gcdsf(CO,ps,2,rp);
1.6 noro 433: }
434:
1.15 noro 435: void Psffctr(arg,rp)
436: NODE arg;
437: LIST *rp;
438: {
439: DCP dc;
440:
441: mfctrsf(CO,ARG0(arg),&dc);
442: dcptolist(dc,rp);
443: }
444:
1.10 noro 445: void Psfsqfr(arg,rp)
446: NODE arg;
447: LIST *rp;
448: {
449: DCP dc;
450:
1.14 noro 451: sqfrsf(CO,ARG0(arg),&dc);
1.10 noro 452: dcptolist(dc,rp);
453: }
454:
455: void Psfufctr(arg,rp)
1.6 noro 456: NODE arg;
457: LIST *rp;
458: {
459: DCP dc;
460:
1.15 noro 461: ufctrsf(ARG0(arg),&dc);
1.1 noro 462: dcptolist(dc,rp);
1.7 noro 463: }
464:
465: void Psfbfctr(arg,rp)
466: NODE arg;
467: LIST *rp;
468: {
469: V x,y;
1.8 noro 470: DCP dc,dct;
471: P t;
472: struct oVL vl1,vl2;
473: VL vl;
1.10 noro 474: int degbound;
1.7 noro 475:
476: x = VR((P)ARG1(arg));
477: y = VR((P)ARG2(arg));
1.8 noro 478: vl1.v = x; vl1.next = &vl2;
479: vl2.v = y; vl2.next = 0;
480: vl = &vl1;
1.10 noro 481: if ( argc(arg) == 4 )
482: degbound = QTOS((Q)ARG3(arg));
483: else
484: degbound = -1;
1.8 noro 485:
1.10 noro 486: sfbfctr((P)ARG0(arg),x,y,degbound,&dc);
1.8 noro 487: for ( dct = dc; dct; dct = NEXT(dct) ) {
488: reorderp(CO,vl,COEF(dct),&t); COEF(dct) = t;
1.7 noro 489: }
1.8 noro 490: dcptolist(dc,rp);
1.1 noro 491: }
492:
1.11 noro 493: void Psfmintdeg(arg,rp)
494: NODE arg;
495: P *rp;
496: {
497: V x,y;
498: P r;
499: struct oVL vl1,vl2;
500: VL vl;
501: int dy,c;
502:
503: x = VR((P)ARG1(arg));
504: y = VR((P)ARG2(arg));
505: vl1.v = x; vl1.next = &vl2;
506: vl2.v = y; vl2.next = 0;
507: vl = &vl1;
508: dy = QTOS((Q)ARG3(arg));
509: c = QTOS((Q)ARG4(arg));
510: sfmintdeg(vl,(P)ARG0(arg),dy,c,&r);
511: reorderp(CO,vl,r,rp);
512: }
513:
1.1 noro 514: void Pmodsqfr(arg,rp)
515: NODE arg;
516: LIST *rp;
517: {
518: DCP dc;
519:
1.9 noro 520: if ( !ARG0(arg) ) {
1.1 noro 521: NEWDC(dc); COEF(dc) = 0; DEG(dc) = ONE; NEXT(dc) = 0;
1.9 noro 522: } else
523: modfctrp(ARG0(arg),QTOS((Q)ARG1(arg)),SQFR,&dc);
1.1 noro 524: dcptolist(dc,rp);
525: }
526:
527: void Pddd(arg,rp)
528: NODE arg;
529: LIST *rp;
530: {
531: DCP dc;
532:
1.9 noro 533: if ( !ARG0(arg) ) {
1.1 noro 534: NEWDC(dc); COEF(dc) = 0; DEG(dc) = ONE; NEXT(dc) = 0;
1.9 noro 535: } else
536: modfctrp(ARG0(arg),QTOS((Q)ARG1(arg)),DDD,&dc);
1.1 noro 537: dcptolist(dc,rp);
538: }
539:
540: void Pnewddd(arg,rp)
541: NODE arg;
542: LIST *rp;
543: {
1.9 noro 544: DCP dc=0;
1.1 noro 545:
1.9 noro 546: if ( !ARG0(arg) ) {
1.1 noro 547: NEWDC(dc); COEF(dc) = 0; DEG(dc) = ONE; NEXT(dc) = 0;
1.9 noro 548: } else
549: modfctrp(ARG0(arg),QTOS((Q)ARG1(arg)),NEWDDD,&dc);
1.1 noro 550: dcptolist(dc,rp);
551: }
552:
553: void Pirred_check(arg,rp)
554: NODE arg;
555: Q *rp;
556: {
557: P p;
558: UM mp;
559: int r,mod;
560:
561: p = (P)ARG0(arg);
562: if ( !p ) {
563: *rp = 0; return;
564: }
565: mp = W_UMALLOC(UDEG(p));
566: mod = QTOS((Q)ARG1(arg));
567: ptoum(mod,p,mp);
568: r = irred_check(mp,mod);
569: if ( r )
570: *rp = ONE;
571: else
572: *rp = 0;
573: }
574:
575: void Pnfctr_mod(arg,rp)
576: NODE arg;
577: Q *rp;
578: {
579: P p;
580: UM mp;
581: int r,mod;
582:
583: p = (P)ARG0(arg);
584: if ( !p ) {
585: *rp = 0; return;
586: }
587: mp = W_UMALLOC(UDEG(p));
588: mod = QTOS((Q)ARG1(arg));
589: ptoum(mod,p,mp);
590: r = nfctr_mod(mp,mod);
591: STOQ(r,*rp);
592: }
593:
594: void Pddd_tab(arg,rp)
595: NODE arg;
596: VECT *rp;
597: {
598: P p;
599: UM mp,t,q,r1,w,w1;
600: UM *r,*s;
601: int dr,mod,n,i;
602: VECT result;
603: V v;
604:
605: p = (P)ARG0(arg); mod = QTOS((Q)ARG1(arg));
606: v = VR(p);
607: n = UDEG(p); mp = W_UMALLOC(n);
608: ptoum(mod,p,mp);
609: r = (UM *)W_ALLOC(n); s = (UM *)W_ALLOC(n);
610: r[0] = UMALLOC(0); DEG(r[0]) = 0; COEF(r[0])[0] = 1;
611: t = W_UMALLOC(mod); bzero(COEF(t),sizeof(int)*(mod+1));
612: DEG(t) = mod; COEF(t)[mod] = 1;
613: q = W_UMALLOC(mod);
614: dr = divum(mod,t,mp,q);
615: DEG(t) = dr; r[1] = r1 = UMALLOC(dr); cpyum(t,r1);
616: s[0] = W_UMALLOC(dr); cpyum(t,s[0]);
617: w = W_UMALLOC(n); bzero(COEF(w),sizeof(int)*(n+1));
618: w1 = W_UMALLOC(2*n); bzero(COEF(w1),sizeof(int)*(2*n+1));
619: for ( i = 1; i < n; i++ ) {
620: DEG(w) = i; COEF(w)[i-1] = 0; COEF(w)[i] = 1;
621: mulum(mod,r1,w,w1);
622: dr = divum(mod,w1,mp,q); DEG(w1) = dr;
623: s[i] = W_UMALLOC(dr); cpyum(w1,s[i]);
624: }
625: for ( i = 2; i < n; i++ ) {
626: mult_mod_tab(r[i-1],mod,s,w,n);
627: r[i] = UMALLOC(DEG(w)); cpyum(w,r[i]);
628: }
629: MKVECT(result,n);
630: for ( i = 0; i < n; i++ )
631: umtop(v,r[i],(P *)&BDY(result)[i]);
632: *rp = result;
1.18 noro 633: }
634:
635: void reduce_sfdc(DCP sfdc,DCP *dcr)
636: {
637: P c,t,s,u,f;
638: DCP dc0,dc,tdc;
639: DCP *a;
640: int i,j,n;
641:
642: if ( !current_gfs_ext ) {
643: /* we simply apply sfptop() */
644: for ( dc0 = 0; sfdc; sfdc = NEXT(sfdc) ) {
645: NEXTDC(dc0,dc);
646: DEG(dc) = DEG(sfdc);
647: sfptop(COEF(sfdc),&COEF(dc));
648: }
649: NEXT(dc) = 0;
650: *dcr = dc0;
651: return;
652: }
653:
654: if ( NUM(COEF(sfdc)) ) {
655: sfptop(COEF(sfdc),&c);
656: sfdc = NEXT(sfdc);
657: } else
658: c = (P)ONE;
659:
660: for ( n = 0, tdc = sfdc; tdc; tdc = NEXT(tdc), n++ );
661: a = (DCP *)ALLOCA(n*sizeof(DCP));
662: for ( i = 0, tdc = sfdc; i < n; tdc = NEXT(tdc), i++ )
663: a[i] = tdc;
664:
665: dc0 = 0; NEXTDC(dc0,dc); DEG(dc) = ONE; COEF(dc) = c;
666: for ( i = 0; i < n; i++ ) {
667: if ( !a[i] )
668: continue;
669: t = COEF(a[i]);
670: f = t;
671: while ( 1 ) {
672: sf_galois_action(t,ONE,&s);
673: for ( j = i; j < n; j++ )
674: if ( a[j] && !compp(CO,s,COEF(a[j])) )
675: break;
676: if ( j == n )
677: error("reduce_sfdc : cannot happen");
678: if ( j == i ) {
679: NEXTDC(dc0,dc); DEG(dc) = DEG(a[i]);
680: sfptop(f,&COEF(dc));
681: break;
682: } else {
683: mulp(CO,f,s,&u); f = u;
684: t = s;
685: a[j] = 0;
686: }
687: }
688: }
689: *dcr = dc0;
1.1 noro 690: }
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