Annotation of OpenXM/src/kan96xx/Kan/ecart.c, Revision 1.11
1.11 ! takayama 1: /* $OpenXM: OpenXM/src/kan96xx/Kan/ecart.c,v 1.10 2003/08/20 05:18:35 takayama Exp $ */
1.1 takayama 2: #include <stdio.h>
3: #include "datatype.h"
4: #include "extern2.h"
5: #include "gradedset.h"
6:
7: #define outofmemory(a) if (a == NULL) {fprintf(stderr,"ecart.c: out of memory.\n"); exit(10);}
8: /* Local structures */
9: struct ecartReducer {
10: int ell; /* s^\ell */
11: int first; /* first =1 ==> gset else gg */
12: int grade; int gseti; /* if first==1, gradedPolySet */
13: int ggi; /* if first==0 ecartPoly [] */
14: };
15: struct ecartPolyArray {
16: int size;
17: int limit;
18: POLY *pa;
1.5 takayama 19: POLY *cf;
20: POLY *syz;
1.1 takayama 21: };
22:
23: static struct ecartReducer ecartFindReducer(POLY r,struct gradedPolySet *gset,struct ecartPolyArray *epa);
1.8 takayama 24: static struct ecartReducer ecartFindReducer_mod(POLY r,struct gradedPolySet *gset,struct ecartPolyArray *epa);
1.1 takayama 25: static int ecartCheckPoly(POLY f); /* check if it does not contain s-variables */
26: static int ecartCheckEnv(); /* check if the environment is OK for ecart div*/
1.5 takayama 27: static struct ecartPolyArray *ecartPutPolyInG(POLY g,struct ecartPolyArray *eparray,POLY cf, POLY syz);
1.1 takayama 28: static int ecartGetEll(POLY r,POLY g);
1.5 takayama 29: static POLY ecartDivideSv(POLY r,int *d);
30: /* No automatic homogenization and s is used as a standart var. */
31: static POLY reduction_ecart0(POLY r,struct gradedPolySet *gset,
32: int needSyz, struct syz0 *syzp);
33: /* Automatic homogenization and s->1 */
34: static POLY reduction_ecart1(POLY r,struct gradedPolySet *gset,
35: int needSyz, struct syz0 *syzp);
1.8 takayama 36: static POLY reduction_ecart1_mod(POLY r,struct gradedPolySet *gset);
1.5 takayama 37: static POLY ecartCheckSyz0(POLY cf,POLY r_0,POLY syz,
38: struct gradedPolySet *gg,POLY r);
1.1 takayama 39:
1.8 takayama 40: extern int DebugReductionRed;
41: extern int TraceLift;
42: struct ring *TraceLift_ringmod;
1.9 takayama 43: extern DoCancel;
1.6 takayama 44: int DebugReductionEcart = 0;
1.11 ! takayama 45: extern DebugContentReduction;
1.1 takayama 46:
47: /* This is used for goHomogenization */
48: extern int DegreeShifto_size;
49: extern int *DegreeShifto_vec;
50:
1.3 takayama 51: /* It is used reduction_ecart() and ecartFindReducer()
52: to determine if we homogenize in this function */
53: extern int EcartAutomaticHomogenization;
54:
1.1 takayama 55: #define LARGE 0x7fffffff
56:
57:
1.5 takayama 58: static POLY ecartDivideSv(POLY r,int *d) {
1.1 takayama 59: POLY f;
60: int k;
1.5 takayama 61: *d = 0;
1.1 takayama 62: if (r == POLYNULL) return r;
63: f = r; k = LARGE;
64: while (r != POLYNULL) {
65: if (r->m->e[0].x < k) {
66: k = r->m->e[0].x;
67: }
68: r = r->next;
69: }
70: if (k > 0) {
1.5 takayama 71: *d = k;
1.1 takayama 72: f = r;
73: while (r != POLYNULL) {
74: r->m->e[0].x -= k;
75: r = r->next;
76: }
77: }
78: return f;
79: }
80:
81: static int ecartGetEll(POLY f,POLY g) {
82: int n,i,p;
83: MONOMIAL tf;
84: MONOMIAL tg;
85:
86: if (f ISZERO) return(-1);
87: if (g ISZERO) return(-1);
88:
89: checkRingIsR(f,g);
90:
91: if (!isSameComponent_x(f,g)) return(-1);
92: tf = f->m; tg = g->m; n = tf->ringp->n;
93: for (i=1; i<n; i++) {
94: if (tf->e[i].x < tg->e[i].x) return(-1);
95: if (tf->e[i].D < tg->e[i].D) return(-1);
96: }
97: if (tf->e[0].D < tg->e[0].D) return(-1); /* h */
1.2 takayama 98: p = tf->e[0].x - tg->e[0].x; /* H, s */
1.1 takayama 99: if (p >=0 ) return 0;
100: else return(-p);
101: }
102:
103:
104: #define EP_SIZE 10
1.5 takayama 105: static struct ecartPolyArray *ecartPutPolyInG(POLY g,struct ecartPolyArray *eparray,POLY cf,POLY syz)
1.1 takayama 106: {
107: struct ecartPolyArray *a;
108: POLY *ep;
109: int i;
110: if (eparray == (struct ecartPolyArray *)NULL) {
111: a = (struct ecartPolyArray *) sGC_malloc(sizeof(struct ecartPolyArray));
112: outofmemory(a);
113: ep = (POLY *) sGC_malloc(sizeof(POLY)*EP_SIZE);
114: outofmemory(ep);
1.5 takayama 115: a->cf = (POLY *) sGC_malloc(sizeof(POLY)*EP_SIZE);
116: outofmemory(a->cf);
117: a->syz = (POLY *) sGC_malloc(sizeof(POLY)*EP_SIZE);
118: outofmemory(a->syz);
1.1 takayama 119: a->limit = EP_SIZE;
120: a->size = 0;
121: a->pa = ep;
122: eparray = a;
123: }
124: if (eparray->size >= eparray->limit) {
125: a = (struct ecartPolyArray *) sGC_malloc(sizeof(struct ecartPolyArray));
126: outofmemory(a);
127: ep = (POLY *) sGC_malloc(sizeof(POLY)*((eparray->limit)*2));
128: outofmemory(ep);
1.5 takayama 129: a->cf = (POLY *) sGC_malloc(sizeof(POLY)*((eparray->limit)*2));
130: outofmemory(a->cf);
131: a->syz = (POLY *) sGC_malloc(sizeof(POLY)*((eparray->limit)*2));
132: outofmemory(a->syz);
1.1 takayama 133: a->limit = (eparray->limit)*2;
134: a->size = eparray->size;
135: a->pa = ep;
136: for (i=0; i<eparray->size; i++) {
137: (a->pa)[i] = (eparray->pa)[i];
1.5 takayama 138: (a->cf)[i] = (eparray->cf)[i];
139: (a->syz)[i] = (eparray->syz)[i];
1.1 takayama 140: }
141: eparray = a;
142: }
143: i = eparray->size;
144: (eparray->pa)[i] = g;
1.5 takayama 145: (eparray->cf)[i] = cf;
146: (eparray->syz)[i] = syz;
1.1 takayama 147: (eparray->size)++;
148: return eparray;
149: }
150:
151: static struct ecartReducer ecartFindReducer(POLY r,struct gradedPolySet *gset,
152: struct ecartPolyArray *epa)
153: {
154: int grd;
155: struct polySet *set;
156: int minGrade = 0;
157: int minGseti = 0;
158: int minGgi = 0;
159: int ell1 = LARGE;
160: int ell2 = LARGE;
161: int ell;
162: int i;
163: struct ecartReducer er;
164: /* Try to find a reducer in gset; */
165: grd = 0;
166: while (grd < gset->maxGrade) {
167: set = gset->polys[grd];
168: for (i=0; i<set->size; i++) {
1.2 takayama 169: if (set->gh[i] == POLYNULL) {
170: /* goHomogenize set->gh[i] */
1.4 takayama 171: if (EcartAutomaticHomogenization) {
172: set->gh[i] = goHomogenize11(set->g[i],DegreeShifto_vec,DegreeShifto_size,-1,1);
173: }else{
174: set->gh[i] = set->g[i];
175: }
1.2 takayama 176: }
177: ell = ecartGetEll(r,set->gh[i]);
1.1 takayama 178: if ((ell>=0) && (ell < ell1)) {
179: ell1 = ell;
180: minGrade = grd; minGseti=i;
181: }
182: }
183: grd++;
184: }
185: if (epa != NULL) {
186: /* Try to find in the second group. */
187: for (i=0; i< epa->size; i++) {
188: ell = ecartGetEll(r,(epa->pa)[i]);
189: if ((ell>=0) && (ell < ell2)) {
190: ell2 = ell;
191: minGgi = i;
192: }
193: }
194: }
195:
1.6 takayama 196: if (DebugReductionRed || (DebugReductionEcart&1)) {
1.1 takayama 197: printf("ecartFindReducer(): ell1=%d, ell2=%d, minGrade=%d, minGseti=%d, minGgi=%d\n",ell1,ell2,minGrade,minGseti,minGgi);
198: }
199: if (ell1 <= ell2) {
200: if (ell1 == LARGE) {
201: er.ell = -1;
202: return er;
203: }else{
204: er.ell = ell1;
205: er.first = 1;
206: er.grade = minGrade;
207: er.gseti = minGseti;
208: return er;
209: }
210: }else{
211: er.ell = ell2;
212: er.first = 0;
213: er.ggi = minGgi;
214: return er;
215: }
216: }
217:
1.5 takayama 218: static POLY ecartCheckSyz0(POLY cf,POLY r_0,POLY syz,
219: struct gradedPolySet *gg,POLY r)
220: {
221: POLY f;
222: int grd,i;
223: POLY q;
224: struct coeff *c;
225: f = ppMult(cf,r_0);
226: while (syz != POLYNULL) {
227: grd = syz->m->e[0].x;
228: i = syz->m->e[0].D;
229: c = syz->coeffp;
230: if (c->tag == POLY_COEFF) {
231: q = c->val.f;
232: }else{
233: q = POLYNULL;
234: }
235: f = ppAdd(f,ppMult(q,((gg->polys[grd])->g)[i]));
236: /* not gh, works only for _ecart0 */
237: syz = syz->next;
238: }
239: f = ppSub(f,r);
240: return f;
241: }
242:
243:
244: POLY reduction_ecart(r,gset,needSyz,syzp)
245: POLY r;
246: struct gradedPolySet *gset;
247: int needSyz;
248: struct syz0 *syzp; /* set */
249: {
1.8 takayama 250: POLY rn;
251: if (TraceLift) {
252: if (EcartAutomaticHomogenization) {
253: if (TraceLift_ringmod == NULL) {
254: warningPoly("reduction_ecart: TraceLift_ringmod is not set.\n");
255: return reduction_ecart1(r,gset,needSyz,syzp);
256: }
1.9 takayama 257: rn = reduction_ecart1_mod(r,gset); /* BUG: syzygy is not obtained. */
1.8 takayama 258: if (rn == POLYNULL) return rn;
259: else return reduction_ecart1(r,gset,needSyz,syzp);
260: }else{
261: return reduction_ecart0(r,gset,needSyz,syzp);
262: }
1.5 takayama 263: }else{
1.8 takayama 264: if (EcartAutomaticHomogenization) {
265: return reduction_ecart1(r,gset,needSyz,syzp);
266: }else{
267: return reduction_ecart0(r,gset,needSyz,syzp);
268: }
1.5 takayama 269: }
270: }
271:
1.1 takayama 272: /*
273: r and gset are assumed to be (0,1)-homogenized (h-homogenized)
1.5 takayama 274: Polynomials r and gset are assumed
1.3 takayama 275: to be double homogenized (h-homogenized and s(H)-homogenized)
1.1 takayama 276: */
1.5 takayama 277: static POLY reduction_ecart0(r,gset,needSyz,syzp)
1.1 takayama 278: POLY r;
279: struct gradedPolySet *gset;
280: int needSyz;
281: struct syz0 *syzp; /* set */
282: {
283: int reduced,reduced1,reduced2;
284: int grd;
285: struct polySet *set;
286: POLY cf,syz;
287: int i;
288: POLY cc,cg;
289: struct ecartReducer ells;
290: struct ecartPolyArray *gg;
291: POLY pp;
292: int ell;
1.5 takayama 293: POLY cf_o;
294: POLY syz_o;
295: POLY r_0;
1.1 takayama 296:
297: extern struct ring *CurrentRingp;
298: struct ring *rp;
299:
1.5 takayama 300: r_0 = r;
1.1 takayama 301: gg = NULL;
302: if (needSyz) {
303: if (r ISZERO) { rp = CurrentRingp; } else { rp = r->m->ringp; }
304: cf = cxx(1,0,0,rp);
305: syz = ZERO;
306: }
307:
308: if (r != POLYNULL) {
1.4 takayama 309: rp = r->m->ringp;
310: if (! rp->weightedHomogenization) {
311: errorKan1("%s\n","ecart.c: the given ring must be declared with [(weightedHomogenization) 1]");
312: }
1.1 takayama 313: }
314:
1.6 takayama 315: if (DebugReductionEcart&1) printf("--------------------------------------\n");
1.5 takayama 316: do {
317: if (DebugReductionRed) printf("r=%s\n",POLYToString(r,'*',1));
1.6 takayama 318: if (DebugReductionEcart & 1) printf("r=%s+...\n",POLYToString(head(r),'*',1));
1.5 takayama 319: ells = ecartFindReducer(r,gset,gg);
320: ell = ells.ell;
321: if (ell > 0) {
1.6 takayama 322: if (DebugReductionEcart & 2) printf("*");
1.5 takayama 323: if (needSyz) {
324: gg = ecartPutPolyInG(r,gg,cf,syz);
325: }else{
326: gg = ecartPutPolyInG(r,gg,POLYNULL,POLYNULL);
327: }
328: }
329: if (ell >= 0) {
330: if (ells.first) {
331: pp = ((gset->polys[ells.grade])->gh)[ells.gseti];
332: }else{
1.6 takayama 333: if (DebugReductionEcart & 4) printf("#");
1.5 takayama 334: pp = (gg->pa)[ells.ggi];
335: }
336: if (ell > 0) r = mpMult(cxx(1,0,ell,rp),r); /* r = s^ell r */
337: r = (*reduction1)(r,pp,needSyz,&cc,&cg);
338: if (needSyz) {
339: if (ells.first) {
340: if (ell >0) cc = ppMult(cc,cxx(1,0,ell,rp));
341: cf = ppMult(cc,cf);
342: syz = cpMult(toSyzCoeff(cc),syz);
343: syz = ppAdd(syz,toSyzPoly(cg,ells.grade,ells.gseti));
344: }else{
345: if (ell >0) cc = ppMult(cc,cxx(1,0,ell,rp));
346: cf_o = (gg->cf)[ells.ggi];
347: syz_o = (gg->syz)[ells.ggi];
348: cf = ppMult(cc,cf);
349: cf = ppAdd(cf,ppMult(cg,cf_o));
350: syz = cpMult(toSyzCoeff(cc),syz);
351: syz = ppAdd(syz,cpMult(toSyzCoeff(cg),syz_o));
1.6 takayama 352: /* Note. 2003.07.19 */
1.5 takayama 353: }
354: if (DebugReductionRed) {
1.6 takayama 355: POLY tp;
356: tp = ecartCheckSyz0(cf,r_0,syz,gset,r);
357: if (tp != POLYNULL) {
358: fprintf(stderr,"reduction_ecart0(): sygyzy is broken. Return the Current values.\n");
359: fprintf(stderr,"%s\n",POLYToString(tp,'*',1));
360: syzp->cf = cf;
361: syzp->syz = syz;
362: return r;
363: }
1.5 takayama 364: }
365: }
366: if (r ISZERO) goto ss;
367: /*r = ecartDivideSv(r,&se); r = r/s^? Don't do this. */
368: }
369: }while (ell >= 0);
370:
371: ss: ;
372: if (needSyz) {
373: syzp->cf = cf; /* cf is in the CurrentRingp */
374: syzp->syz = syz; /* syz is in the SyzRingp */
375: }
376:
377: return(r);
378: }
379:
380: /*
381: r and gset are assumed to be (0,1)-homogenized (h-homogenized)
382: r and gset are not assumed
383: to be double homogenized (h-homogenized and s(H)-homogenized)
384: They are automatically s(H)-homogenized, and s is set to 1
385: when this function returns.
386: */
387: static POLY reduction_ecart1(r,gset,needSyz,syzp)
388: POLY r;
389: struct gradedPolySet *gset;
390: int needSyz;
391: struct syz0 *syzp; /* set */
392: {
393: int reduced,reduced1,reduced2;
394: int grd;
395: struct polySet *set;
396: POLY cf,syz;
397: int i;
398: POLY cc,cg;
399: struct ecartReducer ells;
400: struct ecartPolyArray *gg;
401: POLY pp;
402: int ell;
403: int se;
1.9 takayama 404: struct coeff *cont;
1.5 takayama 405:
406: extern struct ring *CurrentRingp;
407: struct ring *rp;
1.9 takayama 408: extern struct ring *SmallRingp;
1.5 takayama 409:
410: gg = NULL;
411: if (needSyz) {
412: if (r ISZERO) { rp = CurrentRingp; } else { rp = r->m->ringp; }
413: cf = cxx(1,0,0,rp);
414: syz = ZERO;
415: }
416:
417: if (r != POLYNULL) {
418: rp = r->m->ringp;
419: if (! rp->weightedHomogenization) {
420: errorKan1("%s\n","ecart.c: the given ring must be declared with [(weightedHomogenization) 1]");
421: }
1.3 takayama 422: }
1.5 takayama 423:
424: r = goHomogenize11(r,DegreeShifto_vec,DegreeShifto_size,-1,1);
1.1 takayama 425: /* 1 means homogenize only s */
1.10 takayama 426: if (DoCancel && (r != POLYNULL)) shouldReduceContent(r,1);
1.1 takayama 427:
1.7 takayama 428: if (DebugReductionEcart&1) printf("=======================================\n");
1.1 takayama 429: do {
1.7 takayama 430: if (DebugReductionRed) printf("(ecart1(d)) r=%s\n",POLYToString(r,'*',1));
431: if (DebugReductionEcart & 1) printf("r=%s+,,,\n",POLYToString(head(r),'*',1));
432:
1.1 takayama 433: ells = ecartFindReducer(r,gset,gg);
434: ell = ells.ell;
435: if (ell > 0) {
1.7 takayama 436: if (DebugReductionEcart & 2) printf("%");
1.5 takayama 437: gg = ecartPutPolyInG(r,gg,POLYNULL,POLYNULL);
1.1 takayama 438: }
439: if (ell >= 0) {
440: if (ells.first) {
441: pp = ((gset->polys[ells.grade])->gh)[ells.gseti];
442: }else{
1.9 takayama 443: if (DebugReductionEcart & 4) {printf("+"); fflush(NULL);}
1.1 takayama 444: pp = (gg->pa)[ells.ggi];
445: }
446: if (ell > 0) r = mpMult(cxx(1,0,ell,rp),r); /* r = s^ell r */
447: r = (*reduction1)(r,pp,needSyz,&cc,&cg);
1.10 takayama 448:
449: if (DoCancel && (r != POLYNULL)) { /* BUG: syzygy should be corrected. */
450: if (shouldReduceContent(r,0)) {
451: r = reduceContentOfPoly(r,&cont);
452: shouldReduceContent(r,1);
1.11 ! takayama 453: if (DebugReductionEcart || DebugReductionRed || DebugContentReduction) printf("CONT=%s ",coeffToString(cont));
1.10 takayama 454: }
455: }
456:
1.1 takayama 457: if (needSyz) {
458: if (ells.first) {
459: cf = ppMult(cc,cf);
460: syz = cpMult(toSyzCoeff(cc),syz);
461: syz = ppAddv(syz,toSyzPoly(cg,ells.grade,ells.gseti));
462: }else{
1.6 takayama 463: fprintf(stderr,"It has not yet implemented.\n");
464: exit(10);
1.1 takayama 465: /* BUG: not yet */
466: }
467: }
1.5 takayama 468: if (r ISZERO) goto ss1;
469: r = ecartDivideSv(r,&se); /* r = r/s^? */
1.1 takayama 470: }
471: }while (ell >= 0);
472:
1.5 takayama 473: ss1: ;
1.1 takayama 474: if (needSyz) {
475: syzp->cf = cf; /* cf is in the CurrentRingp */
476: syzp->syz = syz; /* syz is in the SyzRingp */
477: /* BUG: dehomogenize the syzygy */
1.6 takayama 478: fprintf(stderr,"It has not yet implemented.\n");
479: exit(10);
1.1 takayama 480: }
1.8 takayama 481:
482: r = goDeHomogenizeS(r);
1.9 takayama 483: if (DoCancel && (r != POLYNULL)) { /* BUG: syzygy should be corrected. */
1.10 takayama 484: if (r->m->ringp->p == 0) {
1.11 ! takayama 485: r = reduceContentOfPoly(r,&cont);
! 486: if (DebugReductionEcart || DebugReductionRed || DebugContentReduction) printf("cont=%s ",coeffToString(cont));
1.10 takayama 487: }
1.9 takayama 488: }
1.8 takayama 489:
490: return(r);
491: }
492:
493: /* Functions for trace lift */
494: static struct ecartReducer ecartFindReducer_mod(POLY r,
495: struct gradedPolySet *gset,
496: struct ecartPolyArray *epa)
497: {
498: int grd;
499: struct polySet *set;
500: int minGrade = 0;
501: int minGseti = 0;
502: int minGgi = 0;
503: int ell1 = LARGE;
504: int ell2 = LARGE;
505: int ell;
506: int i;
507: struct ecartReducer er;
508: /* Try to find a reducer in gset; */
509: grd = 0;
510: while (grd < gset->maxGrade) {
511: set = gset->polys[grd];
512: for (i=0; i<set->size; i++) {
513: if (set->gh[i] == POLYNULL) {
514: /* goHomogenize set->gh[i] */
515: if (EcartAutomaticHomogenization) {
516: set->gh[i] = goHomogenize11(set->g[i],DegreeShifto_vec,DegreeShifto_size,-1,1);
517: }else{
518: set->gh[i] = set->g[i];
519: }
520: }
521: if (TraceLift && (set->gmod[i] == POLYNULL)) {
522: set->gmod[i] = modulop(set->gh[i],TraceLift_ringmod);
523: }
524: if (TraceLift) {
525: ell = ecartGetEll(r,set->gmod[i]);
526: }else{
527: ell = ecartGetEll(r,set->gh[i]);
528: }
529: if ((ell>=0) && (ell < ell1)) {
530: ell1 = ell;
531: minGrade = grd; minGseti=i;
532: }
533: }
534: grd++;
535: }
536: if (epa != NULL) {
537: /* Try to find in the second group. */
538: for (i=0; i< epa->size; i++) {
539: ell = ecartGetEll(r,(epa->pa)[i]);
540: if ((ell>=0) && (ell < ell2)) {
541: ell2 = ell;
542: minGgi = i;
543: }
544: }
545: }
546:
547: if (DebugReductionRed || (DebugReductionEcart&1)) {
548: printf("ecartFindReducer_mod(): ell1=%d, ell2=%d, minGrade=%d, minGseti=%d, minGgi=%d, p=%d\n",ell1,ell2,minGrade,minGseti,minGgi,TraceLift_ringmod->p);
549: }
550: if (ell1 <= ell2) {
551: if (ell1 == LARGE) {
552: er.ell = -1;
553: return er;
554: }else{
555: er.ell = ell1;
556: er.first = 1;
557: er.grade = minGrade;
558: er.gseti = minGseti;
559: return er;
560: }
561: }else{
562: er.ell = ell2;
563: er.first = 0;
564: er.ggi = minGgi;
565: return er;
566: }
567: }
568:
569: static POLY reduction_ecart1_mod(r,gset)
570: POLY r;
571: struct gradedPolySet *gset;
572: {
573: int reduced,reduced1,reduced2;
574: int grd;
575: struct polySet *set;
576: int i;
577: POLY cc,cg;
578: struct ecartReducer ells;
579: struct ecartPolyArray *gg;
580: POLY pp;
581: int ell;
582: int se;
583:
584: extern struct ring *CurrentRingp;
585: struct ring *rp;
586:
587: gg = NULL;
588:
589: if (r != POLYNULL) {
590: rp = r->m->ringp;
591: if (! rp->weightedHomogenization) {
592: errorKan1("%s\n","ecart.c: the given ring must be declared with [(weightedHomogenization) 1]");
593: }
594: }
595:
596: r = goHomogenize11(r,DegreeShifto_vec,DegreeShifto_size,-1,1);
597: /* 1 means homogenize only s */
598: /*printf("r=%s (mod 0)\n",POLYToString(head(r),'*',1));
599: KshowRing(TraceLift_ringmod); **/
600:
601: r = modulop(r,TraceLift_ringmod);
602: rp = r->m->ringp; /* reset rp */
603:
604: /* printf("r=%s (mod p)\n",POLYToString(head(r),'*',1)); **/
605:
606: if (DebugReductionEcart&1) printf("=====================================mod\n");
607: do {
608: if (DebugReductionRed) printf("(ecart1_mod(d)) r=%s\n",POLYToString(r,'*',1));
609: if (DebugReductionEcart & 1) printf("r=%s+,,,\n",POLYToString(head(r),'*',1));
610:
611: ells = ecartFindReducer_mod(r,gset,gg);
612: ell = ells.ell;
613: if (ell > 0) {
614: if (DebugReductionEcart & 2) printf("%");
615: gg = ecartPutPolyInG(r,gg,POLYNULL,POLYNULL);
616: }
617: if (ell >= 0) {
618: if (ells.first) {
619: pp = ((gset->polys[ells.grade])->gmod)[ells.gseti];
620: }else{
1.9 takayama 621: if (DebugReductionEcart & 4) {printf("+"); fflush(NULL);}
1.8 takayama 622: pp = (gg->pa)[ells.ggi];
623: }
624: if (ell > 0) r = mpMult(cxx(1,0,ell,rp),r); /* r = s^ell r */
625: r = (*reduction1)(r,pp,0,&cc,&cg);
626: if (r ISZERO) goto ss1;
627: r = ecartDivideSv(r,&se); /* r = r/s^? */
628: }
629: }while (ell >= 0);
630:
631: ss1: ;
1.5 takayama 632:
1.1 takayama 633: r = goDeHomogenizeS(r);
1.5 takayama 634:
1.1 takayama 635: return(r);
1.10 takayama 636: }
637:
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