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1.8 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
1.9 noro 26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
1.8 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: *
1.39 ! noro 48: * $OpenXM: OpenXM_contrib2/asir2000/engine/dist.c,v 1.38 2005/11/27 00:07:05 noro Exp $
1.8 noro 49: */
1.1 noro 50: #include "ca.h"
51:
52: #define ORD_REVGRADLEX 0
53: #define ORD_GRADLEX 1
54: #define ORD_LEX 2
55: #define ORD_BREVGRADLEX 3
56: #define ORD_BGRADLEX 4
57: #define ORD_BLEX 5
58: #define ORD_BREVREV 6
59: #define ORD_BGRADREV 7
60: #define ORD_BLEXREV 8
61: #define ORD_ELIM 9
1.12 noro 62: #define ORD_WEYL_ELIM 10
1.13 noro 63: #define ORD_HOMO_WW_DRL 11
1.21 noro 64: #define ORD_DRL_ZIGZAG 12
65: #define ORD_HOMO_WW_DRL_ZIGZAG 13
66:
67: int cmpdl_drl_zigzag(), cmpdl_homo_ww_drl_zigzag();
1.1 noro 68:
69: int (*cmpdl)()=cmpdl_revgradlex;
70: int (*primitive_cmpdl[3])() = {cmpdl_revgradlex,cmpdl_gradlex,cmpdl_lex};
71:
1.2 noro 72: int do_weyl;
73:
1.1 noro 74: int dp_nelim,dp_fcoeffs;
1.27 noro 75: struct order_spec *dp_current_spec;
1.31 noro 76: struct modorder_spec *dp_current_modspec;
1.1 noro 77: int *dp_dl_work;
78:
1.24 noro 79: void comm_muld_trunc(VL vl,DP p1,DP p2,DL dl,DP *pr);
80: void comm_quod(VL vl,DP p1,DP p2,DP *pr);
81: void muldm_trunc(VL vl,DP p,MP m0,DL dl,DP *pr);
82: void muldc_trunc(VL vl,DP p,P c,DL dl,DP *pr);
1.29 noro 83:
84: void order_init()
85: {
86: struct order_spec *spec;
87:
88: create_order_spec(0,0,&spec);
89: initd(spec);
1.31 noro 90: create_modorder_spec(0,0,&dp_current_modspec);
1.29 noro 91: }
1.24 noro 92:
1.22 noro 93: int has_sfcoef(DP f)
1.1 noro 94: {
95: MP t;
96:
97: if ( !f )
98: return 0;
99: for ( t = BDY(f); t; t = NEXT(t) )
1.22 noro 100: if ( has_sfcoef_p(t->c) )
1.1 noro 101: break;
102: return t ? 1 : 0;
103: }
104:
1.22 noro 105: int has_sfcoef_p(P f)
1.1 noro 106: {
107: DCP dc;
108:
109: if ( !f )
110: return 0;
111: else if ( NUM(f) )
1.22 noro 112: return (NID((Num)f) == N_GFS) ? 1 : 0;
1.1 noro 113: else {
114: for ( dc = DC(f); dc; dc = NEXT(dc) )
1.22 noro 115: if ( has_sfcoef_p(COEF(dc)) )
1.1 noro 116: return 1;
117: return 0;
118: }
119: }
120:
1.19 noro 121: void initd(struct order_spec *spec)
1.1 noro 122: {
123: switch ( spec->id ) {
1.28 noro 124: case 3:
125: cmpdl = cmpdl_composite;
126: dp_dl_work = (int *)MALLOC_ATOMIC(spec->nv*sizeof(int));
127: break;
1.1 noro 128: case 2:
129: cmpdl = cmpdl_matrix;
130: dp_dl_work = (int *)MALLOC_ATOMIC(spec->nv*sizeof(int));
131: break;
132: case 1:
133: cmpdl = cmpdl_order_pair;
134: break;
135: default:
136: switch ( spec->ord.simple ) {
137: case ORD_REVGRADLEX:
138: cmpdl = cmpdl_revgradlex; break;
139: case ORD_GRADLEX:
140: cmpdl = cmpdl_gradlex; break;
141: case ORD_BREVGRADLEX:
142: cmpdl = cmpdl_brevgradlex; break;
143: case ORD_BGRADLEX:
144: cmpdl = cmpdl_bgradlex; break;
145: case ORD_BLEX:
146: cmpdl = cmpdl_blex; break;
147: case ORD_BREVREV:
148: cmpdl = cmpdl_brevrev; break;
149: case ORD_BGRADREV:
150: cmpdl = cmpdl_bgradrev; break;
151: case ORD_BLEXREV:
152: cmpdl = cmpdl_blexrev; break;
153: case ORD_ELIM:
154: cmpdl = cmpdl_elim; break;
1.12 noro 155: case ORD_WEYL_ELIM:
156: cmpdl = cmpdl_weyl_elim; break;
1.13 noro 157: case ORD_HOMO_WW_DRL:
158: cmpdl = cmpdl_homo_ww_drl; break;
1.21 noro 159: case ORD_DRL_ZIGZAG:
160: cmpdl = cmpdl_drl_zigzag; break;
161: case ORD_HOMO_WW_DRL_ZIGZAG:
162: cmpdl = cmpdl_homo_ww_drl_zigzag; break;
1.1 noro 163: case ORD_LEX: default:
164: cmpdl = cmpdl_lex; break;
165: }
166: break;
167: }
1.27 noro 168: dp_current_spec = spec;
1.1 noro 169: }
170:
1.19 noro 171: void ptod(VL vl,VL dvl,P p,DP *pr)
1.1 noro 172: {
173: int isconst = 0;
1.16 noro 174: int n,i,j,k;
1.1 noro 175: VL tvl;
176: V v;
177: DL d;
178: MP m;
179: DCP dc;
1.16 noro 180: DCP *w;
1.1 noro 181: DP r,s,t,u;
182: P x,c;
183:
184: if ( !p )
185: *pr = 0;
186: else {
187: for ( n = 0, tvl = dvl; tvl; tvl = NEXT(tvl), n++ );
188: if ( NUM(p) ) {
189: NEWDL(d,n);
190: NEWMP(m); m->dl = d; C(m) = p; NEXT(m) = 0; MKDP(n,m,*pr); (*pr)->sugar = 0;
191: } else {
192: for ( i = 0, tvl = dvl, v = VR(p);
193: tvl && tvl->v != v; tvl = NEXT(tvl), i++ );
194: if ( !tvl ) {
1.16 noro 195: for ( dc = DC(p), k = 0; dc; dc = NEXT(dc), k++ );
196: w = (DCP *)ALLOCA(k*sizeof(DCP));
197: for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ )
198: w[j] = dc;
199:
200: for ( j = k-1, s = 0, MKV(v,x); j >= 0; j-- ) {
201: ptod(vl,dvl,COEF(w[j]),&t); pwrp(vl,x,DEG(w[j]),&c);
1.1 noro 202: muldc(vl,t,c,&r); addd(vl,r,s,&t); s = t;
203: }
204: *pr = s;
205: } else {
1.16 noro 206: for ( dc = DC(p), k = 0; dc; dc = NEXT(dc), k++ );
207: w = (DCP *)ALLOCA(k*sizeof(DCP));
208: for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ )
209: w[j] = dc;
210:
211: for ( j = k-1, s = 0; j >= 0; j-- ) {
212: ptod(vl,dvl,COEF(w[j]),&t);
1.20 noro 213: NEWDL(d,n); d->d[i] = QTOS(DEG(w[j]));
214: d->td = MUL_WEIGHT(d->d[i],i);
1.1 noro 215: NEWMP(m); m->dl = d; C(m) = (P)ONE; NEXT(m) = 0; MKDP(n,m,u); u->sugar = d->td;
1.2 noro 216: comm_muld(vl,t,u,&r); addd(vl,r,s,&t); s = t;
1.1 noro 217: }
218: *pr = s;
219: }
220: }
221: }
1.17 noro 222: #if 0
1.22 noro 223: if ( !dp_fcoeffs && has_sfcoef(*pr) )
224: dp_fcoeffs = N_GFS;
1.17 noro 225: #endif
1.1 noro 226: }
227:
1.19 noro 228: void dtop(VL vl,VL dvl,DP p,P *pr)
1.1 noro 229: {
1.16 noro 230: int n,i,j,k;
1.1 noro 231: DL d;
232: MP m;
1.16 noro 233: MP *a;
1.1 noro 234: P r,s,t,u,w;
235: Q q;
236: VL tvl;
237:
238: if ( !p )
239: *pr = 0;
240: else {
1.16 noro 241: for ( k = 0, m = BDY(p); m; m = NEXT(m), k++ );
242: a = (MP *)ALLOCA(k*sizeof(MP));
243: for ( j = 0, m = BDY(p); j < k; m = NEXT(m), j++ )
244: a[j] = m;
245:
246: for ( n = p->nv, j = k-1, s = 0; j >= 0; j-- ) {
247: m = a[j];
1.1 noro 248: t = C(m);
249: if ( NUM(t) && NID((Num)t) == N_M ) {
250: mptop(t,&u); t = u;
251: }
252: for ( i = 0, d = m->dl, tvl = dvl;
253: i < n; tvl = NEXT(tvl), i++ ) {
254: MKV(tvl->v,r); STOQ(d->d[i],q); pwrp(vl,r,q,&u);
255: mulp(vl,t,u,&w); t = w;
256: }
257: addp(vl,s,t,&u); s = u;
258: }
259: *pr = s;
260: }
261: }
262:
1.19 noro 263: void nodetod(NODE node,DP *dp)
1.1 noro 264: {
265: NODE t;
266: int len,i,td;
267: Q e;
268: DL d;
269: MP m;
270: DP u;
271:
272: for ( t = node, len = 0; t; t = NEXT(t), len++ );
273: NEWDL(d,len);
274: for ( t = node, i = 0, td = 0; i < len; t = NEXT(t), i++ ) {
275: e = (Q)BDY(t);
276: if ( !e )
277: d->d[i] = 0;
278: else if ( !NUM(e) || !RATN(e) || !INT(e) )
279: error("nodetod : invalid input");
280: else {
1.20 noro 281: d->d[i] = QTOS((Q)e); td += MUL_WEIGHT(d->d[i],i);
1.1 noro 282: }
283: }
284: d->td = td;
285: NEWMP(m); m->dl = d; C(m) = (P)ONE; NEXT(m) = 0;
286: MKDP(len,m,u); u->sugar = td; *dp = u;
287: }
288:
1.19 noro 289: int sugard(MP m)
1.1 noro 290: {
291: int s;
292:
293: for ( s = 0; m; m = NEXT(m) )
294: s = MAX(s,m->dl->td);
295: return s;
296: }
297:
1.19 noro 298: void addd(VL vl,DP p1,DP p2,DP *pr)
1.1 noro 299: {
300: int n;
301: MP m1,m2,mr,mr0;
302: P t;
1.30 ohara 303: DL d;
1.1 noro 304:
305: if ( !p1 )
306: *pr = p2;
307: else if ( !p2 )
308: *pr = p1;
309: else {
1.30 ohara 310: if ( OID(p1) <= O_R ) {
311: n = NV(p2); NEWDL(d,n);
1.31 noro 312: NEWMP(m1); m1->dl = d; C(m1) = (P)p1; NEXT(m1) = 0;
1.30 ohara 313: MKDP(n,m1,p1); (p1)->sugar = 0;
314: }
315: if ( OID(p2) <= O_R ) {
316: n = NV(p1); NEWDL(d,n);
1.31 noro 317: NEWMP(m2); m2->dl = d; C(m2) = (P)p2; NEXT(m2) = 0;
1.30 ohara 318: MKDP(n,m2,p2); (p2)->sugar = 0;
319: }
1.1 noro 320: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; )
321: switch ( (*cmpdl)(n,m1->dl,m2->dl) ) {
322: case 0:
323: addp(vl,C(m1),C(m2),&t);
324: if ( t ) {
325: NEXTMP(mr0,mr); mr->dl = m1->dl; C(mr) = t;
326: }
327: m1 = NEXT(m1); m2 = NEXT(m2); break;
328: case 1:
329: NEXTMP(mr0,mr); mr->dl = m1->dl; C(mr) = C(m1);
330: m1 = NEXT(m1); break;
331: case -1:
332: NEXTMP(mr0,mr); mr->dl = m2->dl; C(mr) = C(m2);
333: m2 = NEXT(m2); break;
334: }
335: if ( !mr0 )
336: if ( m1 )
337: mr0 = m1;
338: else if ( m2 )
339: mr0 = m2;
340: else {
341: *pr = 0;
342: return;
343: }
344: else if ( m1 )
345: NEXT(mr) = m1;
346: else if ( m2 )
347: NEXT(mr) = m2;
348: else
349: NEXT(mr) = 0;
350: MKDP(NV(p1),mr0,*pr);
351: if ( *pr )
352: (*pr)->sugar = MAX(p1->sugar,p2->sugar);
353: }
354: }
355:
356: /* for F4 symbolic reduction */
357:
1.19 noro 358: void symb_addd(DP p1,DP p2,DP *pr)
1.1 noro 359: {
360: int n;
361: MP m1,m2,mr,mr0;
362:
363: if ( !p1 )
364: *pr = p2;
365: else if ( !p2 )
366: *pr = p1;
367: else {
368: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
369: NEXTMP(mr0,mr); C(mr) = (P)ONE;
370: switch ( (*cmpdl)(n,m1->dl,m2->dl) ) {
371: case 0:
372: mr->dl = m1->dl;
373: m1 = NEXT(m1); m2 = NEXT(m2); break;
374: case 1:
375: mr->dl = m1->dl;
376: m1 = NEXT(m1); break;
377: case -1:
378: mr->dl = m2->dl;
379: m2 = NEXT(m2); break;
380: }
381: }
382: if ( !mr0 )
383: if ( m1 )
384: mr0 = m1;
385: else if ( m2 )
386: mr0 = m2;
387: else {
388: *pr = 0;
389: return;
390: }
391: else if ( m1 )
392: NEXT(mr) = m1;
393: else if ( m2 )
394: NEXT(mr) = m2;
395: else
396: NEXT(mr) = 0;
397: MKDP(NV(p1),mr0,*pr);
398: if ( *pr )
399: (*pr)->sugar = MAX(p1->sugar,p2->sugar);
1.3 noro 400: }
401: }
402:
403: /*
404: * destructive merge of two list
405: *
406: * p1, p2 : list of DL
407: * return : a merged list
408: */
409:
1.19 noro 410: NODE symb_merge(NODE m1,NODE m2,int n)
1.3 noro 411: {
412: NODE top,prev,cur,m,t;
1.25 noro 413: int c,i;
414: DL d1,d2;
1.3 noro 415:
416: if ( !m1 )
417: return m2;
418: else if ( !m2 )
419: return m1;
420: else {
421: switch ( (*cmpdl)(n,(DL)BDY(m1),(DL)BDY(m2)) ) {
422: case 0:
423: top = m1; m = NEXT(m2);
424: break;
425: case 1:
426: top = m1; m = m2;
427: break;
428: case -1:
429: top = m2; m = m1;
430: break;
431: }
432: prev = top; cur = NEXT(top);
433: /* BDY(prev) > BDY(m) always holds */
434: while ( cur && m ) {
1.25 noro 435: d1 = (DL)BDY(cur);
436: d2 = (DL)BDY(m);
1.26 noro 437: #if 1
438: switch ( (*cmpdl)(n,(DL)BDY(cur),(DL)BDY(m)) ) {
439: #else
440: /* XXX only valid for DRL */
1.25 noro 441: if ( d1->td > d2->td )
442: c = 1;
443: else if ( d1->td < d2->td )
444: c = -1;
445: else {
446: for ( i = n-1; i >= 0 && d1->d[i] == d2->d[i]; i-- );
447: if ( i < 0 )
448: c = 0;
449: else if ( d1->d[i] < d2->d[i] )
450: c = 1;
451: else
452: c = -1;
453: }
454: switch ( c ) {
455: #endif
1.3 noro 456: case 0:
457: m = NEXT(m);
458: prev = cur; cur = NEXT(cur);
459: break;
460: case 1:
461: t = NEXT(cur); NEXT(cur) = m; m = t;
462: prev = cur; cur = NEXT(cur);
463: break;
464: case -1:
465: NEXT(prev) = m; m = cur;
466: prev = NEXT(prev); cur = NEXT(prev);
467: break;
1.18 noro 468: }
469: }
470: if ( !cur )
471: NEXT(prev) = m;
1.23 noro 472: return top;
473: }
474: }
475:
476: void _adddl(int n,DL d1,DL d2,DL d3)
477: {
478: int i;
479:
480: d3->td = d1->td+d2->td;
481: for ( i = 0; i < n; i++ )
482: d3->d[i] = d1->d[i]+d2->d[i];
483: }
484:
485: /* m1 <- m1 U dl*f, destructive */
486:
487: NODE mul_dllist(DL dl,DP f);
488:
489: NODE symb_mul_merge(NODE m1,DL dl,DP f,int n)
490: {
491: NODE top,prev,cur,n1;
492: DP g;
493: DL t,s;
494: MP m;
495:
496: if ( !m1 )
497: return mul_dllist(dl,f);
498: else if ( !f )
499: return m1;
500: else {
501: m = BDY(f);
502: NEWDL_NOINIT(t,n);
503: _adddl(n,m->dl,dl,t);
504: top = m1; prev = 0; cur = m1;
505: while ( m ) {
506: switch ( (*cmpdl)(n,(DL)BDY(cur),t) ) {
507: case 0:
508: prev = cur; cur = NEXT(cur);
509: if ( !cur ) {
510: MKDP(n,m,g);
511: NEXT(prev) = mul_dllist(dl,g);
512: return;
513: }
514: m = NEXT(m);
515: if ( m ) _adddl(n,m->dl,dl,t);
516: break;
517: case 1:
518: prev = cur; cur = NEXT(cur);
519: if ( !cur ) {
520: MKDP(n,m,g);
521: NEXT(prev) = mul_dllist(dl,g);
522: return;
523: }
524: break;
525: case -1:
526: NEWDL_NOINIT(s,n);
527: s->td = t->td;
528: bcopy(t->d,s->d,n*sizeof(int));
529: NEWNODE(n1);
530: n1->body = (pointer)s;
531: NEXT(n1) = cur;
532: if ( !prev ) {
533: top = n1; cur = n1;
534: } else {
535: NEXT(prev) = n1; prev = n1;
536: }
537: m = NEXT(m);
538: if ( m ) _adddl(n,m->dl,dl,t);
539: break;
540: }
541: }
1.18 noro 542: return top;
543: }
544: }
545:
1.19 noro 546: DLBUCKET symb_merge_bucket(DLBUCKET m1,DLBUCKET m2,int n)
1.18 noro 547: {
548: DLBUCKET top,prev,cur,m,t;
549:
550: if ( !m1 )
551: return m2;
552: else if ( !m2 )
553: return m1;
554: else {
555: if ( m1->td == m2->td ) {
556: top = m1;
557: BDY(top) = symb_merge(BDY(top),BDY(m2),n);
558: m = NEXT(m2);
559: } else if ( m1->td > m2->td ) {
560: top = m1; m = m2;
561: } else {
562: top = m2; m = m1;
563: }
564: prev = top; cur = NEXT(top);
565: /* prev->td > m->td always holds */
566: while ( cur && m ) {
567: if ( cur->td == m->td ) {
568: BDY(cur) = symb_merge(BDY(cur),BDY(m),n);
569: m = NEXT(m);
570: prev = cur; cur = NEXT(cur);
571: } else if ( cur->td > m->td ) {
572: t = NEXT(cur); NEXT(cur) = m; m = t;
573: prev = cur; cur = NEXT(cur);
574: } else {
575: NEXT(prev) = m; m = cur;
576: prev = NEXT(prev); cur = NEXT(prev);
1.3 noro 577: }
578: }
579: if ( !cur )
580: NEXT(prev) = m;
581: return top;
1.1 noro 582: }
583: }
584:
1.19 noro 585: void subd(VL vl,DP p1,DP p2,DP *pr)
1.1 noro 586: {
587: DP t;
588:
589: if ( !p2 )
590: *pr = p1;
591: else {
592: chsgnd(p2,&t); addd(vl,p1,t,pr);
593: }
594: }
595:
1.19 noro 596: void chsgnd(DP p,DP *pr)
1.1 noro 597: {
598: MP m,mr,mr0;
1.33 noro 599: Obj r;
1.1 noro 600:
601: if ( !p )
602: *pr = 0;
1.33 noro 603: else if ( OID(p) <= O_R ) {
604: chsgnr((Obj)p,&r); *pr = (DP)r;
605: } else {
1.1 noro 606: for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
607: NEXTMP(mr0,mr); chsgnp(C(m),&C(mr)); mr->dl = m->dl;
608: }
609: NEXT(mr) = 0; MKDP(NV(p),mr0,*pr);
610: if ( *pr )
611: (*pr)->sugar = p->sugar;
612: }
613: }
614:
1.19 noro 615: void muld(VL vl,DP p1,DP p2,DP *pr)
1.1 noro 616: {
1.2 noro 617: if ( ! do_weyl )
618: comm_muld(vl,p1,p2,pr);
619: else
620: weyl_muld(vl,p1,p2,pr);
621: }
622:
1.19 noro 623: void comm_muld(VL vl,DP p1,DP p2,DP *pr)
1.2 noro 624: {
1.1 noro 625: MP m;
626: DP s,t,u;
1.5 noro 627: int i,l,l1;
628: static MP *w;
629: static int wlen;
1.1 noro 630:
631: if ( !p1 || !p2 )
632: *pr = 0;
633: else if ( OID(p1) <= O_P )
634: muldc(vl,p2,(P)p1,pr);
635: else if ( OID(p2) <= O_P )
636: muldc(vl,p1,(P)p2,pr);
637: else {
1.5 noro 638: for ( m = BDY(p1), l1 = 0; m; m = NEXT(m), l1++ );
1.4 noro 639: for ( m = BDY(p2), l = 0; m; m = NEXT(m), l++ );
1.5 noro 640: if ( l1 < l ) {
641: t = p1; p1 = p2; p2 = t;
642: l = l1;
643: }
644: if ( l > wlen ) {
645: if ( w ) GC_free(w);
646: w = (MP *)MALLOC(l*sizeof(MP));
647: wlen = l;
648: }
1.4 noro 649: for ( m = BDY(p2), i = 0; i < l; m = NEXT(m), i++ )
650: w[i] = m;
651: for ( s = 0, i = l-1; i >= 0; i-- ) {
652: muldm(vl,p1,w[i],&t); addd(vl,s,t,&u); s = u;
1.1 noro 653: }
1.5 noro 654: bzero(w,l*sizeof(MP));
1.1 noro 655: *pr = s;
656: }
657: }
658:
1.24 noro 659: /* discard terms which is not a multiple of dl */
660:
661: void comm_muld_trunc(VL vl,DP p1,DP p2,DL dl,DP *pr)
662: {
663: MP m;
664: DP s,t,u;
665: int i,l,l1;
666: static MP *w;
667: static int wlen;
668:
669: if ( !p1 || !p2 )
670: *pr = 0;
671: else if ( OID(p1) <= O_P )
672: muldc_trunc(vl,p2,(P)p1,dl,pr);
673: else if ( OID(p2) <= O_P )
674: muldc_trunc(vl,p1,(P)p2,dl,pr);
675: else {
676: for ( m = BDY(p1), l1 = 0; m; m = NEXT(m), l1++ );
677: for ( m = BDY(p2), l = 0; m; m = NEXT(m), l++ );
678: if ( l1 < l ) {
679: t = p1; p1 = p2; p2 = t;
680: l = l1;
681: }
682: if ( l > wlen ) {
683: if ( w ) GC_free(w);
684: w = (MP *)MALLOC(l*sizeof(MP));
685: wlen = l;
686: }
687: for ( m = BDY(p2), i = 0; i < l; m = NEXT(m), i++ )
688: w[i] = m;
689: for ( s = 0, i = l-1; i >= 0; i-- ) {
690: muldm_trunc(vl,p1,w[i],dl,&t); addd(vl,s,t,&u); s = u;
691: }
692: bzero(w,l*sizeof(MP));
693: *pr = s;
694: }
695: }
696:
697: void comm_quod(VL vl,DP p1,DP p2,DP *pr)
698: {
699: MP m,m0;
700: DP s,t;
701: int i,n,sugar;
702: DL d1,d2,d;
703: Q a,b;
704:
705: if ( !p2 )
706: error("comm_quod : invalid input");
707: if ( !p1 )
708: *pr = 0;
709: else {
710: n = NV(p1);
711: d2 = BDY(p2)->dl;
712: m0 = 0;
713: sugar = p1->sugar;
714: while ( p1 ) {
715: d1 = BDY(p1)->dl;
716: NEWDL(d,n);
717: d->td = d1->td - d2->td;
718: for ( i = 0; i < n; i++ )
719: d->d[i] = d1->d[i]-d2->d[i];
720: NEXTMP(m0,m);
721: m->dl = d;
722: divq((Q)BDY(p1)->c,(Q)BDY(p2)->c,&a); chsgnq(a,&b);
723: C(m) = (P)b;
724: muldm_trunc(vl,p2,m,d2,&t);
725: addd(vl,p1,t,&s); p1 = s;
726: C(m) = (P)a;
727: }
728: if ( m0 ) {
729: NEXT(m) = 0; MKDP(n,m0,*pr);
730: } else
731: *pr = 0;
732: /* XXX */
733: if ( *pr )
734: (*pr)->sugar = sugar - d2->td;
735: }
736: }
737:
1.19 noro 738: void muldm(VL vl,DP p,MP m0,DP *pr)
1.1 noro 739: {
740: MP m,mr,mr0;
741: P c;
742: DL d;
743: int n;
744:
745: if ( !p )
746: *pr = 0;
747: else {
748: for ( mr0 = 0, m = BDY(p), c = C(m0), d = m0->dl, n = NV(p);
749: m; m = NEXT(m) ) {
750: NEXTMP(mr0,mr);
751: if ( NUM(C(m)) && RATN(C(m)) && NUM(c) && RATN(c) )
752: mulq((Q)C(m),(Q)c,(Q *)&C(mr));
753: else
754: mulp(vl,C(m),c,&C(mr));
755: adddl(n,m->dl,d,&mr->dl);
756: }
757: NEXT(mr) = 0; MKDP(NV(p),mr0,*pr);
758: if ( *pr )
759: (*pr)->sugar = p->sugar + m0->dl->td;
1.2 noro 760: }
761: }
762:
1.24 noro 763: void muldm_trunc(VL vl,DP p,MP m0,DL dl,DP *pr)
764: {
765: MP m,mr,mr0;
766: P c;
767: DL d,tdl;
768: int n,i;
769:
770: if ( !p )
771: *pr = 0;
772: else {
773: n = NV(p);
774: NEWDL(tdl,n);
775: for ( mr0 = 0, m = BDY(p), c = C(m0), d = m0->dl;
776: m; m = NEXT(m) ) {
777: _adddl(n,m->dl,d,tdl);
778: for ( i = 0; i < n; i++ )
779: if ( tdl->d[i] < dl->d[i] )
780: break;
781: if ( i < n )
782: continue;
783: NEXTMP(mr0,mr);
784: mr->dl = tdl;
785: NEWDL(tdl,n);
786: if ( NUM(C(m)) && RATN(C(m)) && NUM(c) && RATN(c) )
787: mulq((Q)C(m),(Q)c,(Q *)&C(mr));
788: else
789: mulp(vl,C(m),c,&C(mr));
790: }
791: if ( mr0 ) {
792: NEXT(mr) = 0; MKDP(NV(p),mr0,*pr);
793: } else
794: *pr = 0;
795: if ( *pr )
796: (*pr)->sugar = p->sugar + m0->dl->td;
797: }
798: }
799:
1.19 noro 800: void weyl_muld(VL vl,DP p1,DP p2,DP *pr)
1.2 noro 801: {
802: MP m;
803: DP s,t,u;
1.4 noro 804: int i,l;
1.5 noro 805: static MP *w;
806: static int wlen;
1.2 noro 807:
808: if ( !p1 || !p2 )
809: *pr = 0;
810: else if ( OID(p1) <= O_P )
811: muldc(vl,p2,(P)p1,pr);
812: else if ( OID(p2) <= O_P )
813: muldc(vl,p1,(P)p2,pr);
814: else {
1.10 noro 815: for ( m = BDY(p1), l = 0; m; m = NEXT(m), l++ );
1.5 noro 816: if ( l > wlen ) {
817: if ( w ) GC_free(w);
818: w = (MP *)MALLOC(l*sizeof(MP));
819: wlen = l;
820: }
1.10 noro 821: for ( m = BDY(p1), i = 0; i < l; m = NEXT(m), i++ )
1.4 noro 822: w[i] = m;
823: for ( s = 0, i = l-1; i >= 0; i-- ) {
1.10 noro 824: weyl_muldm(vl,w[i],p2,&t); addd(vl,s,t,&u); s = u;
1.2 noro 825: }
1.5 noro 826: bzero(w,l*sizeof(MP));
1.2 noro 827: *pr = s;
828: }
829: }
830:
1.10 noro 831: /* monomial * polynomial */
832:
1.19 noro 833: void weyl_muldm(VL vl,MP m0,DP p,DP *pr)
1.2 noro 834: {
835: DP r,t,t1;
836: MP m;
1.10 noro 837: DL d0;
838: int n,n2,l,i,j,tlen;
839: static MP *w,*psum;
840: static struct cdl *tab;
1.5 noro 841: static int wlen;
1.10 noro 842: static int rtlen;
1.2 noro 843:
844: if ( !p )
845: *pr = 0;
846: else {
1.4 noro 847: for ( m = BDY(p), l = 0; m; m = NEXT(m), l++ );
1.5 noro 848: if ( l > wlen ) {
849: if ( w ) GC_free(w);
850: w = (MP *)MALLOC(l*sizeof(MP));
851: wlen = l;
852: }
1.4 noro 853: for ( m = BDY(p), i = 0; i < l; m = NEXT(m), i++ )
854: w[i] = m;
1.10 noro 855:
856: n = NV(p); n2 = n>>1;
857: d0 = m0->dl;
858: for ( i = 0, tlen = 1; i < n2; i++ )
859: tlen *= d0->d[n2+i]+1;
860: if ( tlen > rtlen ) {
861: if ( tab ) GC_free(tab);
862: if ( psum ) GC_free(psum);
863: rtlen = tlen;
864: tab = (struct cdl *)MALLOC(rtlen*sizeof(struct cdl));
865: psum = (MP *)MALLOC(rtlen*sizeof(MP));
866: }
867: bzero(psum,tlen*sizeof(MP));
868: for ( i = l-1; i >= 0; i-- ) {
869: bzero(tab,tlen*sizeof(struct cdl));
870: weyl_mulmm(vl,m0,w[i],n,tab,tlen);
871: for ( j = 0; j < tlen; j++ ) {
872: if ( tab[j].c ) {
873: NEWMP(m); m->dl = tab[j].d; C(m) = tab[j].c; NEXT(m) = psum[j];
874: psum[j] = m;
875: }
876: }
1.2 noro 877: }
1.10 noro 878: for ( j = tlen-1, r = 0; j >= 0; j-- )
879: if ( psum[j] ) {
880: MKDP(n,psum[j],t); addd(vl,r,t,&t1); r = t1;
881: }
1.2 noro 882: if ( r )
883: r->sugar = p->sugar + m0->dl->td;
884: *pr = r;
885: }
886: }
887:
1.10 noro 888: /* m0 = x0^d0*x1^d1*... * dx0^e0*dx1^e1*... */
889: /* rtab : array of length (e0+1)*(e1+1)*... */
1.2 noro 890:
1.19 noro 891: void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen)
1.2 noro 892: {
1.19 noro 893: P c,c0,c1;
1.10 noro 894: DL d,d0,d1,dt;
895: int i,j,a,b,k,l,n2,s,min,curlen;
896: struct cdl *p;
897: static Q *ctab;
898: static struct cdl *tab;
1.5 noro 899: static int tablen;
1.10 noro 900: static struct cdl *tmptab;
901: static int tmptablen;
1.2 noro 902:
1.10 noro 903:
904: if ( !m0 || !m1 ) {
905: rtab[0].c = 0;
906: rtab[0].d = 0;
907: return;
908: }
909: c0 = C(m0); c1 = C(m1);
910: mulp(vl,c0,c1,&c);
911: d0 = m0->dl; d1 = m1->dl;
912: n2 = n>>1;
913: curlen = 1;
914: NEWDL(d,n);
915: if ( n & 1 )
916: /* offset of h-degree */
917: d->td = d->d[n-1] = d0->d[n-1]+d1->d[n-1];
918: else
919: d->td = 0;
920: rtab[0].c = c;
921: rtab[0].d = d;
922:
923: if ( rtablen > tmptablen ) {
924: if ( tmptab ) GC_free(tmptab);
925: tmptab = (struct cdl *)MALLOC(rtablen*sizeof(struct cdl));
926: tmptablen = rtablen;
927: }
928: for ( i = 0; i < n2; i++ ) {
929: a = d0->d[i]; b = d1->d[n2+i];
930: k = d0->d[n2+i]; l = d1->d[i];
1.20 noro 931:
932: /* degree of xi^a*(Di^k*xi^l)*Di^b */
933: a += l;
934: b += k;
935: s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i);
936:
1.10 noro 937: if ( !k || !l ) {
938: for ( j = 0, p = rtab; j < curlen; j++, p++ ) {
939: if ( p->c ) {
940: dt = p->d;
941: dt->d[i] = a;
942: dt->d[n2+i] = b;
943: dt->td += s;
1.5 noro 944: }
1.10 noro 945: }
946: curlen *= k+1;
947: continue;
948: }
949: if ( k+1 > tablen ) {
950: if ( tab ) GC_free(tab);
951: if ( ctab ) GC_free(ctab);
952: tablen = k+1;
953: tab = (struct cdl *)MALLOC(tablen*sizeof(struct cdl));
954: ctab = (Q *)MALLOC(tablen*sizeof(Q));
955: }
956: /* compute xi^a*(Di^k*xi^l)*Di^b */
957: min = MIN(k,l);
958: mkwc(k,l,ctab);
959: bzero(tab,(k+1)*sizeof(struct cdl));
960: if ( n & 1 )
961: for ( j = 0; j <= min; j++ ) {
962: NEWDL(d,n);
1.20 noro 963: d->d[i] = a-j; d->d[n2+i] = b-j;
1.10 noro 964: d->td = s;
1.20 noro 965: d->d[n-1] = s-(MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i));
1.10 noro 966: tab[j].d = d;
967: tab[j].c = (P)ctab[j];
968: }
969: else
970: for ( j = 0; j <= min; j++ ) {
971: NEWDL(d,n);
1.20 noro 972: d->d[i] = a-j; d->d[n2+i] = b-j;
973: d->td = MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i); /* XXX */
1.10 noro 974: tab[j].d = d;
975: tab[j].c = (P)ctab[j];
976: }
977: bzero(ctab,(min+1)*sizeof(Q));
978: comm_muld_tab(vl,n,rtab,curlen,tab,k+1,tmptab);
979: curlen *= k+1;
980: bcopy(tmptab,rtab,curlen*sizeof(struct cdl));
981: }
982: }
983:
984: /* direct product of two cdl tables
985: rt[] = [
986: t[0]*t1[0],...,t[n-1]*t1[0],
987: t[0]*t1[1],...,t[n-1]*t1[1],
988: ...
989: t[0]*t1[n1-1],...,t[n-1]*t1[n1-1]
990: ]
991: */
992:
1.19 noro 993: void comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt)
1.10 noro 994: {
995: int i,j;
996: struct cdl *p;
997: P c;
998: DL d;
999:
1000: bzero(rt,n*n1*sizeof(struct cdl));
1001: for ( j = 0, p = rt; j < n1; j++ ) {
1002: c = t1[j].c;
1003: d = t1[j].d;
1004: if ( !c )
1005: break;
1006: for ( i = 0; i < n; i++, p++ ) {
1007: if ( t[i].c ) {
1008: mulp(vl,t[i].c,c,&p->c);
1009: adddl(nv,t[i].d,d,&p->d);
1010: }
1.6 noro 1011: }
1.1 noro 1012: }
1013: }
1014:
1.19 noro 1015: void muldc(VL vl,DP p,P c,DP *pr)
1.1 noro 1016: {
1017: MP m,mr,mr0;
1018:
1019: if ( !p || !c )
1020: *pr = 0;
1021: else if ( NUM(c) && UNIQ((Q)c) )
1022: *pr = p;
1023: else if ( NUM(c) && MUNIQ((Q)c) )
1024: chsgnd(p,pr);
1025: else {
1026: for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
1027: NEXTMP(mr0,mr);
1028: if ( NUM(C(m)) && RATN(C(m)) && NUM(c) && RATN(c) )
1029: mulq((Q)C(m),(Q)c,(Q *)&C(mr));
1030: else
1031: mulp(vl,C(m),c,&C(mr));
1032: mr->dl = m->dl;
1033: }
1034: NEXT(mr) = 0; MKDP(NV(p),mr0,*pr);
1035: if ( *pr )
1036: (*pr)->sugar = p->sugar;
1037: }
1.24 noro 1038: }
1039:
1040: void muldc_trunc(VL vl,DP p,P c,DL dl,DP *pr)
1041: {
1042: MP m,mr,mr0;
1043: DL mdl;
1044: int i,n;
1045:
1046: if ( !p || !c ) {
1047: *pr = 0; return;
1048: }
1049: n = NV(p);
1050: for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
1051: mdl = m->dl;
1052: for ( i = 0; i < n; i++ )
1053: if ( mdl->d[i] < dl->d[i] )
1054: break;
1055: if ( i < n )
1056: break;
1057: NEXTMP(mr0,mr);
1058: if ( NUM(C(m)) && RATN(C(m)) && NUM(c) && RATN(c) )
1059: mulq((Q)C(m),(Q)c,(Q *)&C(mr));
1060: else
1061: mulp(vl,C(m),c,&C(mr));
1062: mr->dl = m->dl;
1063: }
1064: NEXT(mr) = 0; MKDP(NV(p),mr0,*pr);
1065: if ( *pr )
1066: (*pr)->sugar = p->sugar;
1.1 noro 1067: }
1068:
1.19 noro 1069: void divsdc(VL vl,DP p,P c,DP *pr)
1.1 noro 1070: {
1071: MP m,mr,mr0;
1072:
1073: if ( !c )
1074: error("disvsdc : division by 0");
1075: else if ( !p )
1076: *pr = 0;
1077: else {
1078: for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
1079: NEXTMP(mr0,mr); divsp(vl,C(m),c,&C(mr)); mr->dl = m->dl;
1080: }
1081: NEXT(mr) = 0; MKDP(NV(p),mr0,*pr);
1082: if ( *pr )
1083: (*pr)->sugar = p->sugar;
1084: }
1085: }
1086:
1.19 noro 1087: void adddl(int n,DL d1,DL d2,DL *dr)
1.1 noro 1088: {
1089: DL dt;
1090: int i;
1091:
1092: if ( !d1->td )
1093: *dr = d2;
1094: else if ( !d2->td )
1095: *dr = d1;
1096: else {
1097: *dr = dt = (DL)MALLOC_ATOMIC((n+1)*sizeof(int));
1098: dt->td = d1->td + d2->td;
1099: for ( i = 0; i < n; i++ )
1100: dt->d[i] = d1->d[i]+d2->d[i];
1101: }
1.11 noro 1102: }
1103:
1104: /* d1 += d2 */
1105:
1.19 noro 1106: void adddl_destructive(int n,DL d1,DL d2)
1.11 noro 1107: {
1108: int i;
1109:
1110: d1->td += d2->td;
1111: for ( i = 0; i < n; i++ )
1112: d1->d[i] += d2->d[i];
1.1 noro 1113: }
1114:
1.19 noro 1115: int compd(VL vl,DP p1,DP p2)
1.1 noro 1116: {
1117: int n,t;
1118: MP m1,m2;
1119:
1120: if ( !p1 )
1121: return p2 ? -1 : 0;
1122: else if ( !p2 )
1123: return 1;
1.39 ! noro 1124: else if ( NV(p1) != NV(p2) )
! 1125: error("compd : size mismatch");
1.1 noro 1126: else {
1127: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2);
1128: m1 && m2; m1 = NEXT(m1), m2 = NEXT(m2) )
1129: if ( (t = (*cmpdl)(n,m1->dl,m2->dl)) ||
1130: (t = compp(vl,C(m1),C(m2)) ) )
1131: return t;
1132: if ( m1 )
1133: return 1;
1134: else if ( m2 )
1135: return -1;
1136: else
1137: return 0;
1138: }
1139: }
1140:
1.19 noro 1141: int cmpdl_lex(int n,DL d1,DL d2)
1.1 noro 1142: {
1143: int i;
1144:
1145: for ( i = 0; i < n && d1->d[i] == d2->d[i]; i++ );
1146: return i == n ? 0 : (d1->d[i] > d2->d[i] ? 1 : -1);
1147: }
1148:
1.19 noro 1149: int cmpdl_revlex(int n,DL d1,DL d2)
1.1 noro 1150: {
1151: int i;
1152:
1153: for ( i = n - 1; i >= 0 && d1->d[i] == d2->d[i]; i-- );
1154: return i < 0 ? 0 : (d1->d[i] < d2->d[i] ? 1 : -1);
1155: }
1156:
1.19 noro 1157: int cmpdl_gradlex(int n,DL d1,DL d2)
1.1 noro 1158: {
1159: if ( d1->td > d2->td )
1160: return 1;
1161: else if ( d1->td < d2->td )
1162: return -1;
1163: else
1164: return cmpdl_lex(n,d1,d2);
1165: }
1166:
1.19 noro 1167: int cmpdl_revgradlex(int n,DL d1,DL d2)
1.1 noro 1168: {
1.25 noro 1169: register int i,c;
1.7 noro 1170: register int *p1,*p2;
1171:
1.1 noro 1172: if ( d1->td > d2->td )
1173: return 1;
1174: else if ( d1->td < d2->td )
1175: return -1;
1.7 noro 1176: else {
1.25 noro 1177: i = n-1;
1178: p1 = d1->d+n-1;
1179: p2 = d2->d+n-1;
1180: while ( i >= 7 ) {
1181: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1182: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1183: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1184: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1185: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1186: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1187: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1188: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1189: i -= 8;
1190: }
1191: switch ( i ) {
1192: case 6:
1193: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1194: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1195: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1196: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1197: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1198: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1199: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1200: return 0;
1201: case 5:
1202: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1203: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1204: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1205: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1206: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1207: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1208: return 0;
1209: case 4:
1210: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1211: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1212: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1213: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1214: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1215: return 0;
1216: case 3:
1217: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1218: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1219: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1220: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1221: return 0;
1222: case 2:
1223: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1224: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1225: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1226: return 0;
1227: case 1:
1228: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1229: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1230: return 0;
1231: case 0:
1232: c = (*p1--) - (*p2--); if ( c ) goto LAST;
1233: return 0;
1234: default:
1235: return 0;
1236: }
1237: LAST:
1238: if ( c > 0 ) return -1;
1239: else return 1;
1.7 noro 1240: }
1.1 noro 1241: }
1242:
1.19 noro 1243: int cmpdl_blex(int n,DL d1,DL d2)
1.1 noro 1244: {
1245: int c;
1246:
1247: if ( c = cmpdl_lex(n-1,d1,d2) )
1248: return c;
1249: else {
1250: c = d1->d[n-1] - d2->d[n-1];
1251: return c > 0 ? 1 : c < 0 ? -1 : 0;
1252: }
1253: }
1254:
1.19 noro 1255: int cmpdl_bgradlex(int n,DL d1,DL d2)
1.1 noro 1256: {
1257: int e1,e2,c;
1258:
1259: e1 = d1->td - d1->d[n-1]; e2 = d2->td - d2->d[n-1];
1260: if ( e1 > e2 )
1261: return 1;
1262: else if ( e1 < e2 )
1263: return -1;
1264: else {
1265: c = cmpdl_lex(n-1,d1,d2);
1266: if ( c )
1267: return c;
1268: else
1269: return d1->td > d2->td ? 1 : d1->td < d2->td ? -1 : 0;
1270: }
1271: }
1272:
1.19 noro 1273: int cmpdl_brevgradlex(int n,DL d1,DL d2)
1.1 noro 1274: {
1275: int e1,e2,c;
1276:
1277: e1 = d1->td - d1->d[n-1]; e2 = d2->td - d2->d[n-1];
1278: if ( e1 > e2 )
1279: return 1;
1280: else if ( e1 < e2 )
1281: return -1;
1282: else {
1283: c = cmpdl_revlex(n-1,d1,d2);
1284: if ( c )
1285: return c;
1286: else
1287: return d1->td > d2->td ? 1 : d1->td < d2->td ? -1 : 0;
1288: }
1289: }
1290:
1.19 noro 1291: int cmpdl_brevrev(int n,DL d1,DL d2)
1.1 noro 1292: {
1293: int e1,e2,f1,f2,c,i;
1294:
1295: for ( i = 0, e1 = 0, e2 = 0; i < dp_nelim; i++ ) {
1296: e1 += d1->d[i]; e2 += d2->d[i];
1297: }
1298: f1 = d1->td - e1; f2 = d2->td - e2;
1299: if ( e1 > e2 )
1300: return 1;
1301: else if ( e1 < e2 )
1302: return -1;
1303: else {
1304: c = cmpdl_revlex(dp_nelim,d1,d2);
1305: if ( c )
1306: return c;
1307: else if ( f1 > f2 )
1308: return 1;
1309: else if ( f1 < f2 )
1310: return -1;
1311: else {
1312: for ( i = n - 1; i >= dp_nelim && d1->d[i] == d2->d[i]; i-- );
1313: return i < dp_nelim ? 0 : (d1->d[i] < d2->d[i] ? 1 : -1);
1314: }
1315: }
1316: }
1317:
1.19 noro 1318: int cmpdl_bgradrev(int n,DL d1,DL d2)
1.1 noro 1319: {
1320: int e1,e2,f1,f2,c,i;
1321:
1322: for ( i = 0, e1 = 0, e2 = 0; i < dp_nelim; i++ ) {
1323: e1 += d1->d[i]; e2 += d2->d[i];
1324: }
1325: f1 = d1->td - e1; f2 = d2->td - e2;
1326: if ( e1 > e2 )
1327: return 1;
1328: else if ( e1 < e2 )
1329: return -1;
1330: else {
1331: c = cmpdl_lex(dp_nelim,d1,d2);
1332: if ( c )
1333: return c;
1334: else if ( f1 > f2 )
1335: return 1;
1336: else if ( f1 < f2 )
1337: return -1;
1338: else {
1339: for ( i = n - 1; i >= dp_nelim && d1->d[i] == d2->d[i]; i-- );
1340: return i < dp_nelim ? 0 : (d1->d[i] < d2->d[i] ? 1 : -1);
1341: }
1342: }
1343: }
1344:
1.19 noro 1345: int cmpdl_blexrev(int n,DL d1,DL d2)
1.1 noro 1346: {
1347: int e1,e2,f1,f2,c,i;
1348:
1349: for ( i = 0, e1 = 0, e2 = 0; i < dp_nelim; i++ ) {
1350: e1 += d1->d[i]; e2 += d2->d[i];
1351: }
1352: f1 = d1->td - e1; f2 = d2->td - e2;
1353: c = cmpdl_lex(dp_nelim,d1,d2);
1354: if ( c )
1355: return c;
1356: else if ( f1 > f2 )
1357: return 1;
1358: else if ( f1 < f2 )
1359: return -1;
1360: else {
1361: for ( i = n - 1; i >= dp_nelim && d1->d[i] == d2->d[i]; i-- );
1362: return i < dp_nelim ? 0 : (d1->d[i] < d2->d[i] ? 1 : -1);
1363: }
1364: }
1365:
1.19 noro 1366: int cmpdl_elim(int n,DL d1,DL d2)
1.1 noro 1367: {
1368: int e1,e2,i;
1369:
1370: for ( i = 0, e1 = 0, e2 = 0; i < dp_nelim; i++ ) {
1371: e1 += d1->d[i]; e2 += d2->d[i];
1372: }
1373: if ( e1 > e2 )
1374: return 1;
1375: else if ( e1 < e2 )
1376: return -1;
1377: else
1378: return cmpdl_revgradlex(n,d1,d2);
1.12 noro 1379: }
1380:
1.19 noro 1381: int cmpdl_weyl_elim(int n,DL d1,DL d2)
1.12 noro 1382: {
1383: int e1,e2,i;
1384:
1385: for ( i = 1, e1 = 0, e2 = 0; i <= dp_nelim; i++ ) {
1386: e1 += d1->d[n-i]; e2 += d2->d[n-i];
1387: }
1388: if ( e1 > e2 )
1389: return 1;
1390: else if ( e1 < e2 )
1391: return -1;
1392: else if ( d1->td > d2->td )
1393: return 1;
1394: else if ( d1->td < d2->td )
1395: return -1;
1396: else return -cmpdl_revlex(n,d1,d2);
1.13 noro 1397: }
1398:
1399: /*
1400: a special ordering
1401: 1. total order
1402: 2. (-w,w) for the first 2*m variables
1403: 3. DRL for the first 2*m variables
1404: */
1405:
1.20 noro 1406: extern int *current_weyl_weight_vector;
1.13 noro 1407:
1.19 noro 1408: int cmpdl_homo_ww_drl(int n,DL d1,DL d2)
1.13 noro 1409: {
1410: int e1,e2,m,i;
1411: int *p1,*p2;
1412:
1413: if ( d1->td > d2->td )
1414: return 1;
1415: else if ( d1->td < d2->td )
1416: return -1;
1417:
1418: m = n>>1;
1.21 noro 1419: for ( i = 0, e1 = e2 = 0, p1 = d1->d, p2 = d2->d; i < m; i++ ) {
1420: e1 += current_weyl_weight_vector[i]*(p1[m+i] - p1[i]);
1421: e2 += current_weyl_weight_vector[i]*(p2[m+i] - p2[i]);
1.13 noro 1422: }
1423: if ( e1 > e2 )
1424: return 1;
1425: else if ( e1 < e2 )
1426: return -1;
1427:
1428: e1 = d1->td - d1->d[n-1];
1429: e2 = d2->td - d2->d[n-1];
1430: if ( e1 > e2 )
1431: return 1;
1432: else if ( e1 < e2 )
1433: return -1;
1434:
1435: for ( i= n - 1, p1 = d1->d+n-1, p2 = d2->d+n-1;
1436: i >= 0 && *p1 == *p2; i--, p1--, p2-- );
1437: return i < 0 ? 0 : (*p1 < *p2 ? 1 : -1);
1.21 noro 1438: }
1439:
1440: int cmpdl_drl_zigzag(int n,DL d1,DL d2)
1441: {
1442: int i,t,m;
1443: int *p1,*p2;
1444:
1445: if ( d1->td > d2->td )
1446: return 1;
1447: else if ( d1->td < d2->td )
1448: return -1;
1449: else {
1450: m = n>>1;
1451: for ( i= m - 1, p1 = d1->d, p2 = d2->d; i >= 0; i-- ) {
1452: if ( t = p1[m+i] - p2[m+i] ) return t > 0 ? -1 : 1;
1453: if ( t = p1[i] - p2[i] ) return t > 0 ? -1 : 1;
1454: }
1455: return 0;
1456: }
1457: }
1458:
1459: int cmpdl_homo_ww_drl_zigzag(int n,DL d1,DL d2)
1460: {
1461: int e1,e2,m,i,t;
1462: int *p1,*p2;
1463:
1464: if ( d1->td > d2->td )
1465: return 1;
1466: else if ( d1->td < d2->td )
1467: return -1;
1468:
1469: m = n>>1;
1470: for ( i = 0, e1 = e2 = 0, p1 = d1->d, p2 = d2->d; i < m; i++ ) {
1471: e1 += current_weyl_weight_vector[i]*(p1[m+i] - p1[i]);
1472: e2 += current_weyl_weight_vector[i]*(p2[m+i] - p2[i]);
1473: }
1474: if ( e1 > e2 )
1475: return 1;
1476: else if ( e1 < e2 )
1477: return -1;
1478:
1479: e1 = d1->td - d1->d[n-1];
1480: e2 = d2->td - d2->d[n-1];
1481: if ( e1 > e2 )
1482: return 1;
1483: else if ( e1 < e2 )
1484: return -1;
1485:
1486: for ( i= m - 1, p1 = d1->d, p2 = d2->d; i >= 0; i-- ) {
1487: if ( t = p1[m+i] - p2[m+i] ) return t > 0 ? -1 : 1;
1488: if ( t = p1[i] - p2[i] ) return t > 0 ? -1 : 1;
1489: }
1490: return 0;
1.1 noro 1491: }
1492:
1.19 noro 1493: int cmpdl_order_pair(int n,DL d1,DL d2)
1.1 noro 1494: {
1495: int e1,e2,i,j,l;
1496: int *t1,*t2;
1.20 noro 1497: int len,head;
1.1 noro 1498: struct order_pair *pair;
1499:
1.27 noro 1500: len = dp_current_spec->ord.block.length;
1.39 ! noro 1501: if ( n != dp_current_spec->nv )
! 1502: error("cmpdl_order_pair : incompatible order specification");
1.27 noro 1503: pair = dp_current_spec->ord.block.order_pair;
1.1 noro 1504:
1.20 noro 1505: head = 0;
1.1 noro 1506: for ( i = 0, t1 = d1->d, t2 = d2->d; i < len; i++ ) {
1507: l = pair[i].length;
1508: switch ( pair[i].order ) {
1509: case 0:
1510: for ( j = 0, e1 = e2 = 0; j < l; j++ ) {
1.20 noro 1511: e1 += MUL_WEIGHT(t1[j],head+j);
1512: e2 += MUL_WEIGHT(t2[j],head+j);
1.1 noro 1513: }
1514: if ( e1 > e2 )
1515: return 1;
1516: else if ( e1 < e2 )
1517: return -1;
1518: else {
1519: for ( j = l - 1; j >= 0 && t1[j] == t2[j]; j-- );
1520: if ( j >= 0 )
1521: return t1[j] < t2[j] ? 1 : -1;
1522: }
1523: break;
1524: case 1:
1525: for ( j = 0, e1 = e2 = 0; j < l; j++ ) {
1.20 noro 1526: e1 += MUL_WEIGHT(t1[j],head+j);
1527: e2 += MUL_WEIGHT(t2[j],head+j);
1.1 noro 1528: }
1529: if ( e1 > e2 )
1530: return 1;
1531: else if ( e1 < e2 )
1532: return -1;
1533: else {
1534: for ( j = 0; j < l && t1[j] == t2[j]; j++ );
1535: if ( j < l )
1536: return t1[j] > t2[j] ? 1 : -1;
1537: }
1538: break;
1539: case 2:
1540: for ( j = 0; j < l && t1[j] == t2[j]; j++ );
1541: if ( j < l )
1542: return t1[j] > t2[j] ? 1 : -1;
1543: break;
1544: default:
1545: error("cmpdl_order_pair : invalid order"); break;
1546: }
1.20 noro 1547: t1 += l; t2 += l; head += l;
1.28 noro 1548: }
1549: return 0;
1550: }
1551:
1552: int cmpdl_composite(int nv,DL d1,DL d2)
1553: {
1554: int n,i,j,k,start,s,len;
1555: int *dw;
1556: struct sparse_weight *sw;
1557: struct weight_or_block *worb;
1558: int *w,*t1,*t2;
1559:
1560: n = dp_current_spec->ord.composite.length;
1561: worb = dp_current_spec->ord.composite.w_or_b;
1562: w = dp_dl_work;
1563: for ( i = 0, t1 = d1->d, t2 = d2->d; i < nv; i++ )
1564: w[i] = t1[i]-t2[i];
1565: for ( i = 0; i < n; i++, worb++ ) {
1566: len = worb->length;
1567: switch ( worb->type ) {
1568: case IS_DENSE_WEIGHT:
1569: dw = worb->body.dense_weight;
1570: for ( j = 0, s = 0; j < len; j++ )
1571: s += dw[j]*w[j];
1572: if ( s > 0 ) return 1;
1573: else if ( s < 0 ) return -1;
1574: break;
1575: case IS_SPARSE_WEIGHT:
1576: sw = worb->body.sparse_weight;
1577: for ( j = 0, s = 0; j < len; j++ )
1578: s += sw[j].value*w[sw[j].pos];
1579: if ( s > 0 ) return 1;
1580: else if ( s < 0 ) return -1;
1581: break;
1582: case IS_BLOCK:
1583: start = worb->body.block.start;
1584: switch ( worb->body.block.order ) {
1585: case 0:
1586: for ( j = 0, k = start, s = 0; j < len; j++, k++ ) {
1587: s += MUL_WEIGHT(w[k],k);
1588: }
1589: if ( s > 0 ) return 1;
1590: else if ( s < 0 ) return -1;
1591: else {
1592: for ( j = k-1; j >= start && w[j] == 0; j-- );
1593: if ( j >= start )
1594: return w[j] < 0 ? 1 : -1;
1595: }
1596: break;
1597: case 1:
1598: for ( j = 0, k = start, s = 0; j < len; j++, k++ ) {
1599: s += MUL_WEIGHT(w[k],k);
1600: }
1601: if ( s > 0 ) return 1;
1602: else if ( s < 0 ) return -1;
1603: else {
1604: for ( j = 0, k = start; j < len && w[j] == 0; j++, k++ );
1605: if ( j < len )
1606: return w[j] > 0 ? 1 : -1;
1607: }
1608: break;
1609: case 2:
1610: for ( j = 0, k = start; j < len && w[j] == 0; j++, k++ );
1611: if ( j < len )
1612: return w[j] > 0 ? 1 : -1;
1613: break;
1614: }
1615: break;
1616: }
1.1 noro 1617: }
1618: return 0;
1619: }
1620:
1.19 noro 1621: int cmpdl_matrix(int n,DL d1,DL d2)
1.1 noro 1622: {
1623: int *v,*w,*t1,*t2;
1624: int s,i,j,len;
1625: int **matrix;
1626:
1627: for ( i = 0, t1 = d1->d, t2 = d2->d, w = dp_dl_work; i < n; i++ )
1628: w[i] = t1[i]-t2[i];
1.27 noro 1629: len = dp_current_spec->ord.matrix.row;
1630: matrix = dp_current_spec->ord.matrix.matrix;
1.1 noro 1631: for ( j = 0; j < len; j++ ) {
1632: v = matrix[j];
1633: for ( i = 0, s = 0; i < n; i++ )
1634: s += v[i]*w[i];
1635: if ( s > 0 )
1636: return 1;
1637: else if ( s < 0 )
1638: return -1;
1639: }
1640: return 0;
1.25 noro 1641: }
1642:
1643: GeoBucket create_bucket()
1644: {
1645: GeoBucket g;
1646:
1647: g = CALLOC(1,sizeof(struct oGeoBucket));
1648: g->m = 32;
1649: return g;
1650: }
1651:
1652: void add_bucket(GeoBucket g,NODE d,int nv)
1653: {
1654: int l,k,m;
1655:
1656: l = length(d);
1657: for ( k = 0, m = 1; l > m; k++, m <<= 1 );
1658: /* 2^(k-1) < l <= 2^k */
1659: d = symb_merge(g->body[k],d,nv);
1660: for ( ; length(d) > (1<<(k)); k++ ) {
1661: g->body[k] = 0;
1662: d = symb_merge(g->body[k+1],d,nv);
1663: }
1664: g->body[k] = d;
1665: g->m = MAX(g->m,k);
1666: }
1667:
1668: DL remove_head_bucket(GeoBucket g,int nv)
1669: {
1670: int j,i,c,m;
1671: DL d;
1672:
1673: j = -1;
1674: m = g->m;
1675: for ( i = 0; i <= m; i++ ) {
1676: if ( !g->body[i] )
1677: continue;
1678: if ( j < 0 ) j = i;
1679: else {
1680: c = (*cmpdl)(nv,g->body[i]->body,g->body[j]->body);
1681: if ( c > 0 )
1682: j = i;
1683: else if ( c == 0 )
1684: g->body[i] = NEXT(g->body[i]);
1685: }
1686: }
1687: if ( j < 0 )
1688: return 0;
1689: else {
1690: d = g->body[j]->body;
1691: g->body[j] = NEXT(g->body[j]);
1692: return d;
1.31 noro 1693: }
1694: }
1695:
1696: /* DPV functions */
1697:
1698: void adddv(VL vl,DPV p1,DPV p2,DPV *pr)
1699: {
1700: int i,len;
1701: DP *e;
1702:
1703: if ( !p1 || !p2 )
1704: error("adddv : invalid argument");
1705: else if ( p1->len != p2->len )
1706: error("adddv : size mismatch");
1707: else {
1708: len = p1->len;
1709: e = (DP *)MALLOC(p1->len*sizeof(DP));
1710: for ( i = 0; i < len; i++ )
1711: addd(vl,p1->body[i],p2->body[i],&e[i]);
1712: MKDPV(len,e,*pr);
1713: (*pr)->sugar = MAX(p1->sugar,p2->sugar);
1714: }
1715: }
1716:
1717: void subdv(VL vl,DPV p1,DPV p2,DPV *pr)
1718: {
1719: int i,len;
1720: DP *e;
1721:
1722: if ( !p1 || !p2 )
1723: error("subdv : invalid argument");
1724: else if ( p1->len != p2->len )
1725: error("subdv : size mismatch");
1726: else {
1727: len = p1->len;
1728: e = (DP *)MALLOC(p1->len*sizeof(DP));
1729: for ( i = 0; i < len; i++ )
1730: subd(vl,p1->body[i],p2->body[i],&e[i]);
1731: MKDPV(len,e,*pr);
1732: (*pr)->sugar = MAX(p1->sugar,p2->sugar);
1733: }
1734: }
1735:
1736: void chsgndv(DPV p1,DPV *pr)
1737: {
1738: int i,len;
1739: DP *e;
1740:
1741: if ( !p1 )
1742: error("subdv : invalid argument");
1743: else {
1744: len = p1->len;
1745: e = (DP *)MALLOC(p1->len*sizeof(DP));
1746: for ( i = 0; i < len; i++ )
1747: chsgnd(p1->body[i],&e[i]);
1748: MKDPV(len,e,*pr);
1749: (*pr)->sugar = p1->sugar;
1750: }
1751: }
1752:
1753: void muldv(VL vl,DP p1,DPV p2,DPV *pr)
1754: {
1755: int i,len;
1756: DP *e;
1757:
1758: len = p2->len;
1759: e = (DP *)MALLOC(p2->len*sizeof(DP));
1760: if ( !p1 ) {
1761: MKDPV(len,e,*pr);
1762: (*pr)->sugar = 0;
1763: } else {
1764: for ( i = 0; i < len; i++ )
1765: muld(vl,p1,p2->body[i],&e[i]);
1766: MKDPV(len,e,*pr);
1767: (*pr)->sugar = p1->sugar + p2->sugar;
1768: }
1769: }
1770:
1771: int compdv(VL vl,DPV p1,DPV p2)
1772: {
1773: int i,t,len;
1774:
1775: if ( p1->len != p2->len )
1776: error("compdv : size mismatch");
1777: else {
1778: len = p1->len;
1779: for ( i = 0; i < len; i++ )
1780: if ( t = compd(vl,p1->body[i],p2->body[i]) )
1781: return t;
1782: return 0;
1.33 noro 1783: }
1784: }
1785:
1786: int ni_next(int *a,int n)
1787: {
1788: int i,j,k,kj;
1789:
1790: /* find the first nonzero a[j] */
1.35 noro 1791: for ( j = 0; j < n && a[j] == 0; j++ );
1.33 noro 1792: /* find the first zero a[k] after a[j] */
1793: for ( k = j; k < n && a[k] == 1; k++ );
1794: if ( k == n ) return 0;
1795: /* a[0] = 0, ... , a[j-1] = 0, a[j] = 1, ..., a[k-1] = 1, a[k] = 0 */
1796: /* a[0] = 1,..., a[k-j-2] = 1, a[k-j-1] = 0, ..., a[k-1] = 0, a[k] = 1 */
1797: kj = k-j-1;
1798: for ( i = 0; i < kj; i++ ) a[i] = 1;
1799: for ( ; i < k; i++ ) a[i] = 0;
1800: a[k] = 1;
1801: return 1;
1802: }
1803:
1804: int comp_nbm(NBM a,NBM b)
1805: {
1806: int d,i,w;
1807: int *ab,*bb;
1808:
1809: if ( a->d > b->d ) return 1;
1810: else if ( a->d < b->d ) return -1;
1811: else {
1812: d = a->d; ab = a->b; bb = b->b;
1813: w = (d+31)/32;
1814: for ( i = 0; i < w; i++ )
1815: if ( ab[i] > bb[i] ) return 1;
1816: else if ( ab[i] < bb[i] ) return -1;
1817: return 0;
1818: }
1819: }
1820:
1821: NBM mul_nbm(NBM a,NBM b)
1822: {
1823: int ad,bd,d,i,j;
1824: int *ab,*bb,*mb;
1825: NBM m;
1826: Q c,c1;
1827: NODE r;
1828: NBP u;
1829:
1830: ad = a->d; bd = b->d; ab = a->b; bb = b->b;
1831: d = ad + bd;
1832: NEWNBM(m); NEWNBMBDY(m,d);
1833: m->d = d; mulq(a->c,b->c,&m->c); mb = m->b;
1834: j = 0;
1835: for ( i = 0; i < ad; i++, j++ )
1836: if ( NBM_GET(ab,i) ) NBM_SET(mb,j);
1837: else NBM_CLR(mb,j);
1838: for ( i = 0; i < bd; i++, j++ )
1839: if ( NBM_GET(bb,i) ) NBM_SET(mb,j);
1840: else NBM_CLR(mb,j);
1841: return m;
1842: }
1843:
1.37 noro 1844: NBP nbmtonbp(NBM m)
1845: {
1846: NODE n;
1847: NBP u;
1848:
1849: MKNODE(n,m,0);
1850: MKNBP(u,n);
1851: return u;
1852: }
1853:
1854: /* a=c*x*rest -> a0= x*rest, ah=x, ar=rest */
1855:
1856: Q separate_nbm(NBM a,NBP *a0,NBP *ah,NBP *ar)
1857: {
1858: int i,d1;
1859: NBM t;
1860:
1861: if ( !a->d ) error("separate_nbm : invalid argument");
1862:
1.38 noro 1863: if ( a0 ) {
1864: NEWNBM(t); t->d = a->d; t->b = a->b; t->c = ONE;
1865: *a0 = nbmtonbp(t);
1866: }
1867:
1868: if ( ah ) {
1869: NEWNBM(t); NEWNBMBDY(t,1); t->d = 1; t->c = ONE;
1870: if ( NBM_GET(a->b,0) ) NBM_SET(t->b,0);
1871: else NBM_CLR(t->b,0);
1872: *ah = nbmtonbp(t);
1873: }
1874:
1875: if ( ar ) {
1876: d1 = a->d-1;
1877: NEWNBM(t); NEWNBMBDY(t,d1); t->d = d1; t->c = ONE;
1878: for ( i = 0; i < d1; i++ ) {
1879: if ( NBM_GET(a->b,i+1) ) NBM_SET(t->b,i);
1880: else NBM_CLR(t->b,i);
1881: }
1882: *ar = nbmtonbp(t);
1883: }
1.37 noro 1884:
1885: return a->c;
1886: }
1887:
1888: NBP make_xky(int k)
1889: {
1890: int k1,i;
1891: NBM t;
1892:
1893: NEWNBM(t); NEWNBMBDY(t,k); t->d = k; t->c = ONE;
1894: k1 = k-1;
1895: for ( i = 0; i < k1; i++ ) NBM_SET(t->b,i);
1896: NBM_CLR(t->b,i);
1897: return nbmtonbp(t);
1898: }
1899:
1900: /* a=c*x^(k-1)*y*rest -> a0= x^(k-1)*y*rest, ah=x^(k-1)*y, ar=rest */
1901:
1902: Q separate_xky_nbm(NBM a,NBP *a0,NBP *ah,NBP *ar)
1903: {
1904: int i,d1,k,k1;
1905: NBM t;
1906:
1907: if ( !a->d )
1908: error("separate_nbm : invalid argument");
1909: for ( i = 0; i < a->d && NBM_GET(a->b,i); i++ );
1910: if ( i == a->d )
1911: error("separate_nbm : invalid argument");
1912: k1 = i;
1913: k = i+1;
1914:
1.38 noro 1915: if ( a0 ) {
1916: NEWNBM(t); t->d = a->d; t->b = a->b; t->c = ONE;
1917: *a0 = nbmtonbp(t);
1918: }
1919:
1920: if ( ah ) {
1921: NEWNBM(t); NEWNBMBDY(t,k); t->d = k; t->c = ONE;
1922: for ( i = 0; i < k1; i++ ) NBM_SET(t->b,i);
1923: NBM_CLR(t->b,i);
1924: *ah = nbmtonbp(t);
1925: }
1926:
1927: if ( ar ) {
1928: d1 = a->d-k;
1929: NEWNBM(t); NEWNBMBDY(t,d1); t->d = d1; t->c = ONE;
1930: for ( i = 0; i < d1; i++ ) {
1931: if ( NBM_GET(a->b,i+k) ) NBM_SET(t->b,i);
1932: else NBM_CLR(t->b,i);
1933: }
1934: *ar = nbmtonbp(t);
1.37 noro 1935: }
1936:
1937: return a->c;
1938: }
1.33 noro 1939:
1.37 noro 1940: void shuffle_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp);
1941: void harmonic_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp);
1.38 noro 1942: void mulnbmnbp(VL vl,NBM m,NBP p, NBP *rp);
1943: void mulnbpnbm(VL vl,NBP p,NBM m, NBP *rp);
1.37 noro 1944:
1945: NBP shuffle_mul_nbm(NBM a,NBM b)
1946: {
1947: NBP u,a0,ah,ar,b0,bh,br,a1,b1,t;
1948: Q ac,bc,c;
1949:
1950: if ( !a->d || !b->d )
1951: u = nbmtonbp(mul_nbm(a,b));
1952: else {
1953: ac = separate_nbm(a,&a0,&ah,&ar);
1954: bc = separate_nbm(b,&b0,&bh,&br);
1955: mulq(ac,bc,&c);
1956: shuffle_mulnbp(CO,ar,b0,&t); mulnbp(CO,ah,t,&a1);
1957: shuffle_mulnbp(CO,a0,br,&t); mulnbp(CO,bh,t,&b1);
1958: addnbp(CO,a1,b1,&t); mulnbp(CO,(NBP)c,t,&u);
1959: }
1960: return u;
1961: }
1.33 noro 1962:
1.37 noro 1963: NBP harmonic_mul_nbm(NBM a,NBM b)
1964: {
1965: NBP u,a0,ah,ar,b0,bh,br,a1,b1,t,s,abk,ab1;
1966: Q ac,bc,c;
1967:
1968: if ( !a->d || !b->d )
1969: u = nbmtonbp(mul_nbm(a,b));
1970: else {
1971: mulq(a->c,b->c,&c);
1972: ac = separate_xky_nbm(a,&a0,&ah,&ar);
1973: bc = separate_xky_nbm(b,&b0,&bh,&br);
1974: mulq(ac,bc,&c);
1975: harmonic_mulnbp(CO,ar,b0,&t); mulnbp(CO,ah,t,&a1);
1976: harmonic_mulnbp(CO,a0,br,&t); mulnbp(CO,bh,t,&b1);
1977: abk = make_xky(((NBM)BDY(BDY(ah)))->d+((NBM)BDY(BDY(bh)))->d);
1978: harmonic_mulnbp(CO,ar,br,&t); mulnbp(CO,abk,t,&ab1);
1979: addnbp(CO,a1,b1,&t); addnbp(CO,t,ab1,&s); mulnbp(CO,(NBP)c,s,&u);
1980: }
1981: return u;
1982:
1983: }
1.34 noro 1984:
1.33 noro 1985: void addnbp(VL vl,NBP p1,NBP p2, NBP *rp)
1986: {
1987: NODE b1,b2,br,br0;
1988: NBM m1,m2,m;
1989: Q c;
1990:
1991: if ( !p1 )
1992: *rp = p2;
1993: else if ( !p2 )
1994: *rp = p1;
1995: else {
1996: for ( b1 = BDY(p1), b2 = BDY(p2), br0 = 0; b1 && b2; ) {
1997: m1 = (NBM)BDY(b1); m2 = (NBM)BDY(b2);
1998: switch ( comp_nbm(m1,m2) ) {
1999: case 0:
2000: addq(m1->c,m2->c,&c);
2001: if ( c ) {
2002: NEXTNODE(br0,br);
2003: NEWNBM(m); m->d = m1->d; m->c = c; m->b = m1->b;
2004: BDY(br) = (pointer)m;
2005: }
2006: b1 = NEXT(b1); b2 = NEXT(b2); break;
2007: case 1:
2008: NEXTNODE(br0,br); BDY(br) = BDY(b1);
2009: b1 = NEXT(b1); break;
2010: case -1:
2011: NEXTNODE(br0,br); BDY(br) = BDY(b2);
2012: b2 = NEXT(b2); break;
2013: }
1.34 noro 2014: }
2015: if ( !br0 )
2016: if ( b1 )
2017: br0 = b1;
1.33 noro 2018: else if ( b2 )
1.34 noro 2019: br0 = b2;
2020: else {
2021: *rp = 0;
2022: return;
2023: }
2024: else if ( b1 )
2025: NEXT(br) = b1;
2026: else if ( b2 )
1.33 noro 2027: NEXT(br) = b2;
1.34 noro 2028: else
2029: NEXT(br) = 0;
2030: MKNBP(*rp,br0);
1.33 noro 2031: }
2032: }
2033:
2034: void subnbp(VL vl,NBP p1,NBP p2, NBP *rp)
2035: {
2036: NBP t;
2037:
2038: chsgnnbp(p2,&t);
2039: addnbp(vl,p1,t,rp);
2040: }
2041:
2042: void chsgnnbp(NBP p,NBP *rp)
2043: {
2044: NODE r0,r,b;
2045: NBM m,m1;
2046:
2047: for ( r0 = 0, b = BDY(p); b; b = NEXT(b) ) {
2048: NEXTNODE(r0,r);
2049: m = (NBM)BDY(b);
2050: NEWNBM(m1); m1->d = m->d; m1->b = m->b; chsgnq(m->c,&m1->c);
1.34 noro 2051: BDY(r) = m1;
1.33 noro 2052: }
2053: if ( r0 ) NEXT(r) = 0;
2054: MKNBP(*rp,r0);
2055: }
2056:
2057: void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp)
2058: {
1.36 noro 2059: NODE b,n;
1.33 noro 2060: NBP r,t,s;
1.36 noro 2061: NBM m;
1.33 noro 2062:
1.36 noro 2063: if ( !p1 || !p2 ) {
2064: *rp = 0; return;
2065: }
2066: if ( OID(p1) != O_NBP ) {
1.37 noro 2067: if ( !NUM(p1) || !RATN(p1) )
2068: error("mulnbp : invalid argument");
1.36 noro 2069: NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p1;
2070: MKNODE(n,m,0); MKNBP(p1,n);
2071: }
2072: if ( OID(p2) != O_NBP ) {
1.37 noro 2073: if ( !NUM(p2) || !RATN(p2) )
2074: error("mulnbp : invalid argument");
1.36 noro 2075: NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p2;
2076: MKNODE(n,m,0); MKNBP(p2,n);
2077: }
2078: if ( length(BDY(p1)) < length(BDY(p2)) ) {
1.33 noro 2079: for ( r = 0, b = BDY(p1); b; b = NEXT(b) ) {
2080: mulnbmnbp(vl,(NBM)BDY(b),p2,&t);
2081: addnbp(vl,r,t,&s); r = s;
2082: }
2083: *rp = r;
2084: } else {
2085: for ( r = 0, b = BDY(p2); b; b = NEXT(b) ) {
2086: mulnbpnbm(vl,p1,(NBM)BDY(b),&t);
2087: addnbp(vl,r,t,&s); r = s;
2088: }
2089: *rp = r;
2090: }
2091: }
2092:
2093: void mulnbmnbp(VL vl,NBM m,NBP p, NBP *rp)
2094: {
2095: NODE b,r0,r;
2096:
2097: if ( !p ) *rp = 0;
2098: else {
2099: for ( r0 = 0, b = BDY(p); b; b = NEXT(b) ) {
2100: NEXTNODE(r0,r);
2101: BDY(r) = mul_nbm(m,(NBM)BDY(b));
2102: }
2103: if ( r0 ) NEXT(r) = 0;
2104: MKNBP(*rp,r0);
2105: }
2106: }
2107:
2108: void mulnbpnbm(VL vl,NBP p,NBM m, NBP *rp)
2109: {
2110: NODE b,r0,r;
2111:
2112: if ( !p ) *rp = 0;
2113: else {
2114: for ( r0 = 0, b = BDY(p); b; b = NEXT(b) ) {
2115: NEXTNODE(r0,r);
2116: BDY(r) = mul_nbm((NBM)BDY(b),m);
2117: }
2118: if ( r0 ) NEXT(r) = 0;
2119: MKNBP(*rp,r0);
2120: }
2121: }
2122:
2123: void pwrnbp(VL vl,NBP a,Q q,NBP *c)
2124: {
2125: int t;
2126: NBP a1,a2;
2127: N n1;
2128: Q q1;
2129: NBM m;
2130: NODE r;
2131:
2132: if ( !q ) {
2133: NEWNBM(m); m->d = 0; m->c = ONE; m->b = 0;
2134: MKNODE(r,m,0); MKNBP(*c,r);
2135: } else if ( !a )
2136: *c = 0;
2137: else if ( UNIQ(q) )
2138: *c = a;
2139: else {
2140: t = divin(NM(q),2,&n1); NTOQ(n1,1,q1);
2141: pwrnbp(vl,a,q1,&a1);
2142: mulnbp(vl,a1,a1,&a2);
2143: if ( t )
2144: mulnbp(vl,a2,a,c);
2145: else
2146: *c = a2;
2147: }
2148: }
2149:
1.38 noro 2150: int compnbp(VL vl,NBP p1,NBP p2)
2151: {
2152: NODE n1,n2;
2153: NBM m1,m2;
2154: int t;
2155:
2156: if ( !p1 )
2157: return p2 ? -1 : 0;
2158: else if ( !p2 )
2159: return 1;
2160: else {
2161: for ( n1 = BDY(p1), n2 = BDY(p2);
2162: n1 && n2; n1 = NEXT(n1), n2 = NEXT(n2) ) {
2163: m1 = (NBM)BDY(n1); m2 = (NBM)BDY(n2);
2164: if ( (t = comp_nbm(m1,m2)) || (t = cmpq(m1->c,m2->c) ) )
2165: return t;
2166: }
2167: if ( n1 )
2168: return 1;
2169: else if ( n2 )
2170: return -1;
2171: else
2172: return 0;
2173: }
2174: }
2175:
1.33 noro 2176: void shuffle_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp)
2177: {
1.36 noro 2178: NODE b1,b2,n;
1.33 noro 2179: NBP r,t,s;
1.34 noro 2180: NBM m;
1.33 noro 2181:
1.36 noro 2182: if ( !p1 || !p2 ) {
2183: *rp = 0; return;
1.33 noro 2184: }
1.36 noro 2185: if ( OID(p1) != O_NBP ) {
1.37 noro 2186: if ( !NUM(p1) || !RATN(p1) )
2187: error("shuffle_mulnbp : invalid argument");
1.36 noro 2188: NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p1;
2189: MKNODE(n,m,0); MKNBP(p1,n);
2190: }
2191: if ( OID(p2) != O_NBP ) {
1.37 noro 2192: if ( !NUM(p2) || !RATN(p2) )
2193: error("shuffle_mulnbp : invalid argument");
1.36 noro 2194: NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p2;
2195: MKNODE(n,m,0); MKNBP(p2,n);
2196: }
2197: for ( r = 0, b1 = BDY(p1); b1; b1 = NEXT(b1) )
2198: for ( m = BDY(b1), b2 = BDY(p2); b2; b2 = NEXT(b2) ) {
2199: t = shuffle_mul_nbm(m,(NBM)BDY(b2));
2200: addnbp(vl,r,t,&s); r = s;
2201: }
2202: *rp = r;
1.33 noro 2203: }
2204:
1.34 noro 2205: void harmonic_mulnbp(VL vl,NBP p1,NBP p2, NBP *rp)
1.33 noro 2206: {
1.36 noro 2207: NODE b1,b2,n;
1.34 noro 2208: NBP r,t,s;
2209: NBM m;
1.33 noro 2210:
1.36 noro 2211: if ( !p1 || !p2 ) {
2212: *rp = 0; return;
1.25 noro 2213: }
1.36 noro 2214: if ( OID(p1) != O_NBP ) {
1.37 noro 2215: if ( !NUM(p1) || !RATN(p1) )
2216: error("harmonic_mulnbp : invalid argument");
1.36 noro 2217: NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p1;
2218: MKNODE(n,m,0); MKNBP(p1,n);
2219: }
2220: if ( OID(p2) != O_NBP ) {
1.37 noro 2221: if ( !NUM(p2) || !RATN(p2) )
2222: error("harmonic_mulnbp : invalid argument");
1.36 noro 2223: NEWNBM(m); m->d = 0; m->b = 0; m->c = (Q)p2;
2224: MKNODE(n,m,0); MKNBP(p2,n);
2225: }
2226: for ( r = 0, b1 = BDY(p1); b1; b1 = NEXT(b1) )
2227: for ( m = BDY(b1), b2 = BDY(p2); b2; b2 = NEXT(b2) ) {
2228: t = harmonic_mul_nbm(m,(NBM)BDY(b2));
2229: addnbp(vl,r,t,&s); r = s;
2230: }
2231: *rp = r;
1.1 noro 2232: }
1.38 noro 2233:
2234: #if 0
2235: NBP shuffle_mul_nbm(NBM a,NBM b)
2236: {
2237: int ad,bd,d,i,ai,bi,bit,s;
2238: int *ab,*bb,*wmb,*w;
2239: NBM wm,tm;
2240: Q c,c1;
2241: NODE r,t,t1,p;
2242: NBP u;
2243:
2244: ad = a->d; bd = b->d; ab = a->b; bb = b->b;
2245: d = ad + bd;
2246: w = (int *)ALLOCA(d*sizeof(int));
2247: NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b;
2248: for ( i = 0; i < ad; i++ ) w[i] = 1;
2249: for ( ; i < d; i++ ) w[i] = 0;
2250: mulq(a->c,b->c,&c);
2251: r = 0;
2252: do {
2253: wm->d = d; wm->c = c;
2254: ai = 0; bi = 0;
2255: for ( i = 0; i < d; i++ ) {
2256: if ( w[i] ) { bit = NBM_GET(ab,ai); ai++; }
2257: else { bit = NBM_GET(bb,bi); bi++; }
2258: if ( bit ) NBM_SET(wmb,i);
2259: else NBM_CLR(wmb,i);
2260: }
2261: for ( p = 0, t = r; t; p = t, t = NEXT(t) ) {
2262: tm = (NBM)BDY(t);
2263: s = comp_nbm(tm,wm);
2264: if ( s < 0 ) {
2265: /* insert */
2266: MKNODE(t1,wm,t);
2267: if ( !p ) r = t1;
2268: else NEXT(p) = t1;
2269: NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b;
2270: break;
2271: } else if ( s == 0 ) {
2272: /* add coefs */
2273: addq(tm->c,c,&c1);
2274: if ( c1 ) tm->c = c1;
2275: else NEXT(p) = NEXT(t);
2276: break;
2277: }
2278: }
2279: if ( !t ) {
2280: /* append */
2281: MKNODE(t1,wm,t);
2282: if ( !p ) r = t1;
2283: else NEXT(p) = t1;
2284: NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b;
2285: }
2286: } while ( ni_next(w,d) );
2287: MKNBP(u,r);
2288: return u;
2289: }
2290:
2291: int nbmtoxky(NBM a,int *b)
2292: {
2293: int d,i,j,k;
2294: int *p;
2295:
2296: d = a->d; p = a->b;
2297: for ( i = j = 0, k = 1; i < d; i++ ) {
2298: if ( !NBM_GET(p,i) ) {
2299: b[j++] = k;
2300: k = 1;
2301: } else k++;
2302: }
2303: return j;
2304: }
2305:
2306: NBP harmonic_mul_nbm(NBM a,NBM b)
2307: {
2308: int da,db,d,la,lb,lmax,lmin,l,lab,la1,lb1,lab1;
2309: int i,j,k,ia,ib,s;
2310: int *wa,*wb,*w,*wab,*wa1,*wmb;
2311: Q c,c1;
2312: NBM wm,tm;
2313: NODE r,t1,t,p;
2314: NBP u;
2315:
2316: da = a->d; db = b->d; d = da+db;
2317: wa = (int *)ALLOCA(da*sizeof(int));
2318: wb = (int *)ALLOCA(db*sizeof(int));
2319: la = nbmtoxky(a,wa);
2320: lb = nbmtoxky(b,wb);
2321: mulq(a->c,b->c,&c);
2322: /* wa[0],..,wa[la-1] <-> x^wa[0]y x^wa[1]y .. */
2323: /* lmax : total length */
2324: lmax = la+lb;
2325: lmin = la>lb?la:lb;
2326: w = (int *)ALLOCA(lmax*sizeof(int));
2327: /* position of a+b */
2328: wab = (int *)ALLOCA(lmax*sizeof(int));
2329: /* position of a */
2330: wa1 = (int *)ALLOCA(lmax*sizeof(int));
2331: NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b;
2332: for ( l = lmin, r = 0; l <= lmax; l++ ) {
2333: lab = lmax - l;
2334: la1 = la - lab;
2335: lb1 = lb - lab;
2336: lab1 = l-lab;
2337: /* partion l into three parts: a, b, a+b */
2338: /* initialize wab */
2339: for ( i = 0; i < lab; i++ ) wab[i] = 1;
2340: for ( ; i < l; i++ ) wab[i] = 0;
2341: do {
2342: /* initialize wa1 */
2343: for ( i = 0; i < la1; i++ ) wa1[i] = 1;
2344: for ( ; i < lab1; i++ ) wa1[i] = 0;
2345: do {
2346: ia = 0; ib = 0;
2347: for ( i = j = 0; i < l; i++ )
2348: if ( wab[i] ) w[i] = wa[ia++]+wb[ib++];
2349: else if ( wa1[j++] ) w[i] = wa[ia++];
2350: else w[i] = wb[ib++];
2351: for ( i = j = 0; i < l; i++ ) {
2352: for ( k = w[i]-1; k > 0; k--, j++ ) NBM_SET(wmb,j);
2353: NBM_CLR(wmb,j); j++;
2354: }
2355: wm->d = j; wm->c = c;
2356: for ( p = 0, t = r; t; p = t, t = NEXT(t) ) {
2357: tm = (NBM)BDY(t);
2358: s = comp_nbm(tm,wm);
2359: if ( s < 0 ) {
2360: /* insert */
2361: MKNODE(t1,wm,t);
2362: if ( !p ) r = t1;
2363: else NEXT(p) = t1;
2364: NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b;
2365: break;
2366: } else if ( s == 0 ) {
2367: /* add coefs */
2368: addq(tm->c,c,&c1);
2369: if ( c1 ) tm->c = c1;
2370: else NEXT(p) = NEXT(t);
2371: break;
2372: }
2373: }
2374: if ( !t ) {
2375: /* append */
2376: MKNODE(t1,wm,t);
2377: if ( !p ) r = t1;
2378: else NEXT(p) = t1;
2379: NEWNBM(wm); NEWNBMBDY(wm,d); wmb = wm->b;
2380: }
2381: } while ( ni_next(wa1,lab1) );
2382: } while ( ni_next(wab,l) );
2383: }
2384: MKNBP(u,r);
2385: return u;
2386: }
2387: #endif