Annotation of OpenXM_contrib2/asir2000/engine/nd.c, Revision 1.164
1.164 ! noro 1: /* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.163 2009/01/05 06:29:46 noro Exp $ */
1.2 noro 2:
1.94 noro 3: #include "nd.h"
1.63 noro 4:
1.131 noro 5: int diag_period = 6;
1.61 noro 6: int (*ndl_compare_function)(UINT *a1,UINT *a2);
1.94 noro 7: int nd_dcomp;
8: NM _nm_free_list;
9: ND _nd_free_list;
10: ND_pairs _ndp_free_list;
1.150 noro 11: NODE nd_hcf;
1.32 noro 12:
1.146 noro 13: static NODE nd_subst;
14: static VL nd_vc;
1.121 noro 15: static int nd_ntrans;
1.117 noro 16: static int nd_nalg;
1.103 noro 17: #if 0
1.74 noro 18: static int ndv_alloc;
1.103 noro 19: #endif
1.87 noro 20: #if 1
1.69 noro 21: static int nd_f4_nsp=0x7fffffff;
1.87 noro 22: #else
23: static int nd_f4_nsp=50;
24: #endif
1.42 noro 25: static double nd_scale=2;
1.61 noro 26: static UINT **nd_bound;
1.42 noro 27: static struct order_spec *nd_ord;
28: static EPOS nd_epos;
1.43 noro 29: static BlockMask nd_blockmask;
1.42 noro 30: static int nd_nvar;
31: static int nd_isrlex;
32: static int nd_epw,nd_bpe,nd_wpd,nd_exporigin;
1.61 noro 33: static UINT nd_mask[32];
34: static UINT nd_mask0,nd_mask1;
1.42 noro 35:
1.20 noro 36: static NDV *nd_ps;
1.53 noro 37: static NDV *nd_ps_trace;
1.42 noro 38: static RHist *nd_psh;
39: static int nd_psn,nd_pslen;
40: static RHist *nd_red;
1.96 noro 41: static int *nd_work_vector;
42: static int **nd_matrix;
43: static int nd_matrix_len;
1.97 noro 44: static struct weight_or_block *nd_worb;
45: static int nd_worb_len;
1.42 noro 46: static int nd_found,nd_create,nd_notfirst;
47: static int nmv_adv;
1.77 noro 48: static int nd_demand;
1.160 noro 49: static int nd_module,nd_ispot,nd_mpos;
1.1 noro 50:
1.119 noro 51: NumberField get_numberfield();
1.114 noro 52: UINT *nd_det_compute_bound(NDV **dm,int n,int j);
53: void nd_det_reconstruct(NDV **dm,int n,int j,NDV d);
1.152 ohara 54: void nd_heu_nezgcdnpz(VL vl,P *pl,int m,int full,P *pr);
1.118 noro 55: int nd_monic(int m,ND *p);
1.129 noro 56: NDV plain_vect_to_ndv_q(Q *mat,int col,UINT *s0vect);
1.157 noro 57: LIST ndvtopl(int mod,VL vl,VL dvl,NDV p,int rank);
58: NDV pltondv(VL vl,VL dvl,LIST p);
59: void pltozpl(LIST l,Q *cont,LIST *pp);
1.159 noro 60: void ndl_max(UINT *d1,unsigned *d2,UINT *d);
61: pointer GC_malloc_atomic_ignore_off_page(int);
1.114 noro 62:
1.149 noro 63: extern int Denominator,DP_Multiple;
64:
1.1 noro 65: void nd_free_private_storage()
66: {
1.157 noro 67: _nm_free_list = 0;
68: _ndp_free_list = 0;
1.71 noro 69: #if 0
1.157 noro 70: GC_gcollect();
1.71 noro 71: #endif
1.1 noro 72: }
73:
74: void _NM_alloc()
75: {
1.157 noro 76: NM p;
77: int i;
1.1 noro 78:
1.157 noro 79: for ( i = 0; i < 1024; i++ ) {
80: p = (NM)GC_malloc(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
81: p->next = _nm_free_list; _nm_free_list = p;
82: }
1.1 noro 83: }
84:
85: void _ND_alloc()
86: {
1.157 noro 87: ND p;
88: int i;
1.1 noro 89:
1.157 noro 90: for ( i = 0; i < 1024; i++ ) {
91: p = (ND)GC_malloc(sizeof(struct oND));
92: p->body = (NM)_nd_free_list; _nd_free_list = p;
93: }
1.1 noro 94: }
95:
96: void _NDP_alloc()
97: {
1.157 noro 98: ND_pairs p;
99: int i;
1.1 noro 100:
1.157 noro 101: for ( i = 0; i < 1024; i++ ) {
102: p = (ND_pairs)GC_malloc(sizeof(struct oND_pairs)
103: +(nd_wpd-1)*sizeof(UINT));
104: p->next = _ndp_free_list; _ndp_free_list = p;
105: }
1.1 noro 106: }
107:
1.30 noro 108: INLINE int nd_length(ND p)
1.1 noro 109: {
1.157 noro 110: NM m;
111: int i;
1.1 noro 112:
1.157 noro 113: if ( !p )
114: return 0;
115: else {
116: for ( i = 0, m = BDY(p); m; m = NEXT(m), i++ );
117: return i;
118: }
1.1 noro 119: }
120:
1.61 noro 121: INLINE int ndl_reducible(UINT *d1,UINT *d2)
1.1 noro 122: {
1.157 noro 123: UINT u1,u2;
124: int i,j;
1.1 noro 125:
1.157 noro 126: if ( nd_module && (MPOS(d1) != MPOS(d2)) ) return 0;
127:
128: if ( TD(d1) < TD(d2) ) return 0;
1.65 noro 129: #if USE_UNROLL
1.157 noro 130: switch ( nd_bpe ) {
131: case 3:
132: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
133: u1 = d1[i]; u2 = d2[i];
134: if ( (u1&0x38000000) < (u2&0x38000000) ) return 0;
135: if ( (u1& 0x7000000) < (u2& 0x7000000) ) return 0;
136: if ( (u1& 0xe00000) < (u2& 0xe00000) ) return 0;
137: if ( (u1& 0x1c0000) < (u2& 0x1c0000) ) return 0;
138: if ( (u1& 0x38000) < (u2& 0x38000) ) return 0;
139: if ( (u1& 0x7000) < (u2& 0x7000) ) return 0;
140: if ( (u1& 0xe00) < (u2& 0xe00) ) return 0;
141: if ( (u1& 0x1c0) < (u2& 0x1c0) ) return 0;
142: if ( (u1& 0x38) < (u2& 0x38) ) return 0;
143: if ( (u1& 0x7) < (u2& 0x7) ) return 0;
144: }
145: return 1;
146: break;
147: case 4:
148: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
149: u1 = d1[i]; u2 = d2[i];
150: if ( (u1&0xf0000000) < (u2&0xf0000000) ) return 0;
151: if ( (u1& 0xf000000) < (u2& 0xf000000) ) return 0;
152: if ( (u1& 0xf00000) < (u2& 0xf00000) ) return 0;
153: if ( (u1& 0xf0000) < (u2& 0xf0000) ) return 0;
154: if ( (u1& 0xf000) < (u2& 0xf000) ) return 0;
155: if ( (u1& 0xf00) < (u2& 0xf00) ) return 0;
156: if ( (u1& 0xf0) < (u2& 0xf0) ) return 0;
157: if ( (u1& 0xf) < (u2& 0xf) ) return 0;
158: }
159: return 1;
160: break;
161: case 6:
162: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
163: u1 = d1[i]; u2 = d2[i];
164: if ( (u1&0x3f000000) < (u2&0x3f000000) ) return 0;
165: if ( (u1& 0xfc0000) < (u2& 0xfc0000) ) return 0;
166: if ( (u1& 0x3f000) < (u2& 0x3f000) ) return 0;
167: if ( (u1& 0xfc0) < (u2& 0xfc0) ) return 0;
168: if ( (u1& 0x3f) < (u2& 0x3f) ) return 0;
169: }
170: return 1;
171: break;
172: case 8:
173: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
174: u1 = d1[i]; u2 = d2[i];
175: if ( (u1&0xff000000) < (u2&0xff000000) ) return 0;
176: if ( (u1& 0xff0000) < (u2& 0xff0000) ) return 0;
177: if ( (u1& 0xff00) < (u2& 0xff00) ) return 0;
178: if ( (u1& 0xff) < (u2& 0xff) ) return 0;
179: }
180: return 1;
181: break;
182: case 16:
183: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
184: u1 = d1[i]; u2 = d2[i];
185: if ( (u1&0xffff0000) < (u2&0xffff0000) ) return 0;
186: if ( (u1& 0xffff) < (u2& 0xffff) ) return 0;
187: }
188: return 1;
189: break;
190: case 32:
191: for ( i = nd_exporigin; i < nd_wpd; i++ )
192: if ( d1[i] < d2[i] ) return 0;
193: return 1;
194: break;
195: default:
196: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
197: u1 = d1[i]; u2 = d2[i];
198: for ( j = 0; j < nd_epw; j++ )
199: if ( (u1&nd_mask[j]) < (u2&nd_mask[j]) ) return 0;
200: }
201: return 1;
202: }
1.65 noro 203: #else
1.157 noro 204: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
205: u1 = d1[i]; u2 = d2[i];
206: for ( j = 0; j < nd_epw; j++ )
207: if ( (u1&nd_mask[j]) < (u2&nd_mask[j]) ) return 0;
208: }
209: return 1;
1.65 noro 210: #endif
1.1 noro 211: }
212:
1.61 noro 213: /*
214: * If the current order is a block order,
215: * then the last block is length 1 and contains
216: * the homo variable. Otherwise, the original
217: * order is either 0 or 2.
218: */
219:
1.164 ! noro 220: void ndl_homogenize(UINT *d,UINT *r,int obpe,EPOS oepos,int ompos,int weight)
1.23 noro 221: {
1.157 noro 222: int w,i,e,n,omask0;
1.61 noro 223:
1.157 noro 224: omask0 = obpe==32?0xffffffff:((1<<obpe)-1);
225: n = nd_nvar-1;
226: ndl_zero(r);
227: for ( i = 0; i < n; i++ ) {
228: e = GET_EXP_OLD(d,i);
229: PUT_EXP(r,i,e);
230: }
231: w = TD(d);
232: PUT_EXP(r,nd_nvar-1,weight-w);
1.164 ! noro 233: if ( nd_module ) MPOS(r) = d[ompos];
1.157 noro 234: TD(r) = weight;
235: if ( nd_blockmask ) ndl_weight_mask(r);
1.61 noro 236: }
237:
238: void ndl_dehomogenize(UINT *d)
239: {
1.157 noro 240: UINT mask;
241: UINT h;
242: int i,bits;
243:
244: if ( nd_blockmask ) {
245: h = GET_EXP(d,nd_nvar-1);
246: XOR_EXP(d,nd_nvar-1,h);
247: TD(d) -= h;
248: ndl_weight_mask(d);
249: } else {
250: if ( nd_isrlex ) {
251: if ( nd_bpe == 32 ) {
252: h = d[nd_exporigin];
253: for ( i = nd_exporigin+1; i < nd_wpd; i++ )
254: d[i-1] = d[i];
255: d[i-1] = 0;
256: TD(d) -= h;
257: } else {
258: bits = nd_epw*nd_bpe;
259: mask = bits==32?0xffffffff:((1<<(nd_epw*nd_bpe))-1);
260: h = (d[nd_exporigin]>>((nd_epw-1)*nd_bpe))&nd_mask0;
261: for ( i = nd_exporigin; i < nd_wpd; i++ )
262: d[i] = ((d[i]<<nd_bpe)&mask)
263: |(i+1<nd_wpd?((d[i+1]>>((nd_epw-1)*nd_bpe))&nd_mask0):0);
264: TD(d) -= h;
265: }
266: } else {
267: h = GET_EXP(d,nd_nvar-1);
268: XOR_EXP(d,nd_nvar-1,h);
269: TD(d) -= h;
270: }
271: }
1.23 noro 272: }
273:
1.61 noro 274: void ndl_lcm(UINT *d1,unsigned *d2,UINT *d)
1.1 noro 275: {
1.157 noro 276: UINT t1,t2,u,u1,u2;
277: int i,j,l;
278:
279: if ( nd_module && (MPOS(d1) != MPOS(d2)) )
280: error("ndl_lcm : inconsistent monomials");
281: #if USE_UNROLL
282: switch ( nd_bpe ) {
283: case 3:
284: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
285: u1 = d1[i]; u2 = d2[i];
286: t1 = (u1&0x38000000); t2 = (u2&0x38000000); u = t1>t2?t1:t2;
287: t1 = (u1& 0x7000000); t2 = (u2& 0x7000000); u |= t1>t2?t1:t2;
288: t1 = (u1& 0xe00000); t2 = (u2& 0xe00000); u |= t1>t2?t1:t2;
289: t1 = (u1& 0x1c0000); t2 = (u2& 0x1c0000); u |= t1>t2?t1:t2;
290: t1 = (u1& 0x38000); t2 = (u2& 0x38000); u |= t1>t2?t1:t2;
291: t1 = (u1& 0x7000); t2 = (u2& 0x7000); u |= t1>t2?t1:t2;
292: t1 = (u1& 0xe00); t2 = (u2& 0xe00); u |= t1>t2?t1:t2;
293: t1 = (u1& 0x1c0); t2 = (u2& 0x1c0); u |= t1>t2?t1:t2;
294: t1 = (u1& 0x38); t2 = (u2& 0x38); u |= t1>t2?t1:t2;
295: t1 = (u1& 0x7); t2 = (u2& 0x7); u |= t1>t2?t1:t2;
296: d[i] = u;
297: }
298: break;
299: case 4:
300: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
301: u1 = d1[i]; u2 = d2[i];
302: t1 = (u1&0xf0000000); t2 = (u2&0xf0000000); u = t1>t2?t1:t2;
303: t1 = (u1& 0xf000000); t2 = (u2& 0xf000000); u |= t1>t2?t1:t2;
304: t1 = (u1& 0xf00000); t2 = (u2& 0xf00000); u |= t1>t2?t1:t2;
305: t1 = (u1& 0xf0000); t2 = (u2& 0xf0000); u |= t1>t2?t1:t2;
306: t1 = (u1& 0xf000); t2 = (u2& 0xf000); u |= t1>t2?t1:t2;
307: t1 = (u1& 0xf00); t2 = (u2& 0xf00); u |= t1>t2?t1:t2;
308: t1 = (u1& 0xf0); t2 = (u2& 0xf0); u |= t1>t2?t1:t2;
309: t1 = (u1& 0xf); t2 = (u2& 0xf); u |= t1>t2?t1:t2;
310: d[i] = u;
311: }
312: break;
313: case 6:
314: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
315: u1 = d1[i]; u2 = d2[i];
316: t1 = (u1&0x3f000000); t2 = (u2&0x3f000000); u = t1>t2?t1:t2;
317: t1 = (u1& 0xfc0000); t2 = (u2& 0xfc0000); u |= t1>t2?t1:t2;
318: t1 = (u1& 0x3f000); t2 = (u2& 0x3f000); u |= t1>t2?t1:t2;
319: t1 = (u1& 0xfc0); t2 = (u2& 0xfc0); u |= t1>t2?t1:t2;
320: t1 = (u1& 0x3f); t2 = (u2& 0x3f); u |= t1>t2?t1:t2;
321: d[i] = u;
322: }
323: break;
324: case 8:
325: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
326: u1 = d1[i]; u2 = d2[i];
327: t1 = (u1&0xff000000); t2 = (u2&0xff000000); u = t1>t2?t1:t2;
328: t1 = (u1& 0xff0000); t2 = (u2& 0xff0000); u |= t1>t2?t1:t2;
329: t1 = (u1& 0xff00); t2 = (u2& 0xff00); u |= t1>t2?t1:t2;
330: t1 = (u1& 0xff); t2 = (u2& 0xff); u |= t1>t2?t1:t2;
331: d[i] = u;
332: }
333: break;
334: case 16:
335: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
336: u1 = d1[i]; u2 = d2[i];
337: t1 = (u1&0xffff0000); t2 = (u2&0xffff0000); u = t1>t2?t1:t2;
338: t1 = (u1& 0xffff); t2 = (u2& 0xffff); u |= t1>t2?t1:t2;
339: d[i] = u;
340: }
341: break;
342: case 32:
343: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
344: u1 = d1[i]; u2 = d2[i];
345: d[i] = u1>u2?u1:u2;
346: }
347: break;
348: default:
349: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
350: u1 = d1[i]; u2 = d2[i];
351: for ( j = 0, u = 0; j < nd_epw; j++ ) {
352: t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2;
353: }
354: d[i] = u;
355: }
356: break;
357: }
358: #else
359: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
360: u1 = d1[i]; u2 = d2[i];
361: for ( j = 0, u = 0; j < nd_epw; j++ ) {
362: t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2;
363: }
364: d[i] = u;
365: }
366: #endif
1.163 noro 367: if ( nd_module ) MPOS(d) = MPOS(d1);
1.157 noro 368: TD(d) = ndl_weight(d);
369: if ( nd_blockmask ) ndl_weight_mask(d);
370: }
371:
1.159 noro 372: void ndl_max(UINT *d1,unsigned *d2,UINT *d)
1.157 noro 373: {
374: UINT t1,t2,u,u1,u2;
375: int i,j,l;
1.1 noro 376:
1.157 noro 377: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
378: u1 = d1[i]; u2 = d2[i];
379: for ( j = 0, u = 0; j < nd_epw; j++ ) {
380: t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2;
381: }
382: d[i] = u;
383: }
1.57 noro 384: }
385:
1.61 noro 386: int ndl_weight(UINT *d)
1.1 noro 387: {
1.157 noro 388: UINT t,u;
389: int i,j;
1.1 noro 390:
1.157 noro 391: if ( current_dl_weight_vector )
392: for ( i = 0, t = 0; i < nd_nvar; i++ ) {
393: u = GET_EXP(d,i);
394: t += MUL_WEIGHT(u,i);
395: }
396: else
397: for ( t = 0, i = nd_exporigin; i < nd_wpd; i++ ) {
398: u = d[i];
399: for ( j = 0; j < nd_epw; j++, u>>=nd_bpe )
400: t += (u&nd_mask0);
401: }
1.161 noro 402: if ( nd_module && current_module_weight_vector && MPOS(d) )
403: t += current_module_weight_vector[MPOS(d)];
1.157 noro 404: return t;
1.1 noro 405: }
406:
1.61 noro 407: void ndl_weight_mask(UINT *d)
1.43 noro 408: {
1.157 noro 409: UINT t,u;
410: UINT *mask;
411: int i,j,k,l;
412:
413: l = nd_blockmask->n;
414: for ( k = 0; k < l; k++ ) {
415: mask = nd_blockmask->mask[k];
416: if ( current_dl_weight_vector )
417: for ( i = 0, t = 0; i < nd_nvar; i++ ) {
418: u = GET_EXP_MASK(d,i,mask);
419: t += MUL_WEIGHT(u,i);
420: }
421: else
422: for ( t = 0, i = nd_exporigin; i < nd_wpd; i++ ) {
423: u = d[i]&mask[i];
424: for ( j = 0; j < nd_epw; j++, u>>=nd_bpe )
425: t += (u&nd_mask0);
426: }
427: d[k+1] = t;
428: }
1.43 noro 429: }
430:
1.61 noro 431: int ndl_lex_compare(UINT *d1,UINT *d2)
1.1 noro 432: {
1.157 noro 433: int i;
1.1 noro 434:
1.157 noro 435: d1 += nd_exporigin;
436: d2 += nd_exporigin;
437: for ( i = nd_exporigin; i < nd_wpd; i++, d1++, d2++ )
438: if ( *d1 > *d2 )
439: return nd_isrlex ? -1 : 1;
440: else if ( *d1 < *d2 )
441: return nd_isrlex ? 1 : -1;
442: return 0;
1.1 noro 443: }
444:
1.61 noro 445: int ndl_block_compare(UINT *d1,UINT *d2)
1.43 noro 446: {
1.157 noro 447: int i,l,j,ord_o,ord_l;
448: struct order_pair *op;
449: UINT t1,t2,m;
450: UINT *mask;
451:
452: l = nd_blockmask->n;
453: op = nd_blockmask->order_pair;
454: for ( j = 0; j < l; j++ ) {
455: mask = nd_blockmask->mask[j];
456: ord_o = op[j].order;
457: if ( ord_o < 2 )
458: if ( (t1=d1[j+1]) > (t2=d2[j+1]) ) return 1;
459: else if ( t1 < t2 ) return -1;
460: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
461: m = mask[i];
462: t1 = d1[i]&m;
463: t2 = d2[i]&m;
464: if ( t1 > t2 )
465: return !ord_o ? -1 : 1;
466: else if ( t1 < t2 )
467: return !ord_o ? 1 : -1;
468: }
469: }
470: return 0;
1.43 noro 471: }
472:
1.96 noro 473: int ndl_matrix_compare(UINT *d1,UINT *d2)
474: {
1.157 noro 475: int i,j,s;
476: int *v;
1.96 noro 477:
1.157 noro 478: for ( j = 0; j < nd_nvar; j++ )
479: nd_work_vector[j] = GET_EXP(d1,j)-GET_EXP(d2,j);
480: for ( i = 0; i < nd_matrix_len; i++ ) {
481: v = nd_matrix[i];
482: for ( j = 0, s = 0; j < nd_nvar; j++ )
483: s += v[j]*nd_work_vector[j];
484: if ( s > 0 ) return 1;
485: else if ( s < 0 ) return -1;
486: }
487: return 0;
1.96 noro 488: }
489:
1.97 noro 490: int ndl_composite_compare(UINT *d1,UINT *d2)
491: {
1.157 noro 492: int i,j,s,start,end,len,o;
493: int *v;
494: struct sparse_weight *sw;
495:
496: for ( j = 0; j < nd_nvar; j++ )
497: nd_work_vector[j] = GET_EXP(d1,j)-GET_EXP(d2,j);
498: for ( i = 0; i < nd_worb_len; i++ ) {
499: len = nd_worb[i].length;
500: switch ( nd_worb[i].type ) {
501: case IS_DENSE_WEIGHT:
502: v = nd_worb[i].body.dense_weight;
503: for ( j = 0, s = 0; j < len; j++ )
504: s += v[j]*nd_work_vector[j];
505: if ( s > 0 ) return 1;
506: else if ( s < 0 ) return -1;
507: break;
508: case IS_SPARSE_WEIGHT:
509: sw = nd_worb[i].body.sparse_weight;
510: for ( j = 0, s = 0; j < len; j++ )
511: s += sw[j].value*nd_work_vector[sw[j].pos];
512: if ( s > 0 ) return 1;
513: else if ( s < 0 ) return -1;
514: break;
515: case IS_BLOCK:
516: o = nd_worb[i].body.block.order;
517: start = nd_worb[i].body.block.start;
518: switch ( o ) {
519: case 0:
520: end = start+len;
521: for ( j = start, s = 0; j < end; j++ )
522: s += MUL_WEIGHT(nd_work_vector[j],j);
523: if ( s > 0 ) return 1;
524: else if ( s < 0 ) return -1;
525: for ( j = end-1; j >= start; j-- )
526: if ( nd_work_vector[j] < 0 ) return 1;
527: else if ( nd_work_vector[j] > 0 ) return -1;
528: break;
529: case 1:
530: end = start+len;
531: for ( j = start, s = 0; j < end; j++ )
532: s += MUL_WEIGHT(nd_work_vector[j],j);
533: if ( s > 0 ) return 1;
534: else if ( s < 0 ) return -1;
535: for ( j = start; j < end; j++ )
536: if ( nd_work_vector[j] > 0 ) return 1;
537: else if ( nd_work_vector[j] < 0 ) return -1;
538: break;
539: case 2:
540: for ( j = start; j < end; j++ )
541: if ( nd_work_vector[j] > 0 ) return 1;
542: else if ( nd_work_vector[j] < 0 ) return -1;
543: break;
544: }
545: break;
546: }
547: }
548: return 0;
1.97 noro 549: }
550:
1.58 noro 551: /* TDH -> WW -> TD-> RL */
552:
1.61 noro 553: int ndl_ww_lex_compare(UINT *d1,UINT *d2)
1.58 noro 554: {
1.157 noro 555: int i,m,e1,e2;
1.58 noro 556:
1.157 noro 557: if ( TD(d1) > TD(d2) ) return 1;
558: else if ( TD(d1) < TD(d2) ) return -1;
559: m = nd_nvar>>1;
560: for ( i = 0, e1 = e2 = 0; i < m; i++ ) {
561: e1 += current_weyl_weight_vector[i]*(GET_EXP(d1,m+i)-GET_EXP(d1,i));
562: e2 += current_weyl_weight_vector[i]*(GET_EXP(d2,m+i)-GET_EXP(d2,i));
563: }
564: if ( e1 > e2 ) return 1;
565: else if ( e1 < e2 ) return -1;
566: return ndl_lex_compare(d1,d2);
567: }
568:
569: int ndl_module_grlex_compare(UINT *d1,UINT *d2)
570: {
1.164 ! noro 571: int i,c;
1.157 noro 572:
1.160 noro 573: if ( nd_ispot ) {
1.157 noro 574: if ( MPOS(d1) < MPOS(d2) ) return 1;
575: else if ( MPOS(d1) > MPOS(d2) ) return -1;
576: }
577: if ( TD(d1) > TD(d2) ) return 1;
578: else if ( TD(d1) < TD(d2) ) return -1;
1.164 ! noro 579: if ( c = ndl_lex_compare(d1,d2) ) return c;
1.160 noro 580: if ( !nd_ispot ) {
1.157 noro 581: if ( MPOS(d1) < MPOS(d2) ) return 1;
582: else if ( MPOS(d1) > MPOS(d2) ) return -1;
583: }
584: return 0;
585: }
586:
587: int ndl_module_glex_compare(UINT *d1,UINT *d2)
588: {
1.164 ! noro 589: int i,c;
1.157 noro 590:
1.160 noro 591: if ( nd_ispot ) {
1.157 noro 592: if ( MPOS(d1) < MPOS(d2) ) return 1;
593: else if ( MPOS(d1) > MPOS(d2) ) return -1;
594: }
595: if ( TD(d1) > TD(d2) ) return 1;
596: else if ( TD(d1) < TD(d2) ) return -1;
1.164 ! noro 597: if ( c = ndl_lex_compare(d1,d2) ) return c;
1.160 noro 598: if ( !nd_ispot ) {
1.157 noro 599: if ( MPOS(d1) < MPOS(d2) ) return 1;
600: else if ( MPOS(d1) > MPOS(d2) ) return -1;
601: }
602: return 0;
603: }
604:
605: int ndl_module_lex_compare(UINT *d1,UINT *d2)
606: {
1.164 ! noro 607: int i,c;
1.157 noro 608:
1.160 noro 609: if ( nd_ispot ) {
1.157 noro 610: if ( MPOS(d1) < MPOS(d2) ) return 1;
611: else if ( MPOS(d1) > MPOS(d2) ) return -1;
612: }
1.164 ! noro 613: if ( c = ndl_lex_compare(d1,d2) ) return c;
1.160 noro 614: if ( !nd_ispot ) {
1.157 noro 615: if ( MPOS(d1) < MPOS(d2) ) return 1;
616: else if ( MPOS(d1) > MPOS(d2) ) return -1;
617: }
618: return 0;
619: }
620:
621: int ndl_module_block_compare(UINT *d1,UINT *d2)
622: {
623: int i,c;
624:
1.160 noro 625: if ( nd_ispot ) {
1.157 noro 626: if ( MPOS(d1) < MPOS(d2) ) return 1;
627: else if ( MPOS(d1) > MPOS(d2) ) return -1;
628: }
629: if ( c = ndl_block_compare(d1,d2) ) return c;
1.160 noro 630: if ( !nd_ispot ) {
1.157 noro 631: if ( MPOS(d1) < MPOS(d2) ) return 1;
632: else if ( MPOS(d1) > MPOS(d2) ) return -1;
633: }
634: return 0;
635: }
636:
637: int ndl_module_matrix_compare(UINT *d1,UINT *d2)
638: {
639: int i,c;
640:
1.160 noro 641: if ( nd_ispot ) {
1.157 noro 642: if ( MPOS(d1) < MPOS(d2) ) return 1;
643: else if ( MPOS(d1) > MPOS(d2) ) return -1;
644: }
645: if ( c = ndl_matrix_compare(d1,d2) ) return c;
1.160 noro 646: if ( !nd_ispot ) {
1.157 noro 647: if ( MPOS(d1) < MPOS(d2) ) return 1;
648: else if ( MPOS(d1) > MPOS(d2) ) return -1;
649: }
650: return 0;
651: }
652:
653: int ndl_module_composite_compare(UINT *d1,UINT *d2)
654: {
655: int i,c;
656:
1.160 noro 657: if ( nd_ispot ) {
1.157 noro 658: if ( MPOS(d1) > MPOS(d2) ) return 1;
659: else if ( MPOS(d1) < MPOS(d2) ) return -1;
660: }
661: if ( c = ndl_composite_compare(d1,d2) ) return c;
1.160 noro 662: if ( !nd_ispot ) {
1.157 noro 663: if ( MPOS(d1) > MPOS(d2) ) return 1;
664: else if ( MPOS(d1) < MPOS(d2) ) return -1;
665: }
666: return 0;
1.58 noro 667: }
668:
1.61 noro 669: INLINE int ndl_equal(UINT *d1,UINT *d2)
1.1 noro 670: {
1.157 noro 671: int i;
1.1 noro 672:
1.157 noro 673: switch ( nd_wpd ) {
674: case 2:
675: if ( TD(d2) != TD(d1) ) return 0;
676: if ( d2[1] != d1[1] ) return 0;
677: return 1;
678: break;
679: case 3:
680: if ( TD(d2) != TD(d1) ) return 0;
681: if ( d2[1] != d1[1] ) return 0;
682: if ( d2[2] != d1[2] ) return 0;
683: return 1;
684: break;
685: default:
686: for ( i = 0; i < nd_wpd; i++ )
687: if ( *d1++ != *d2++ ) return 0;
688: return 1;
689: break;
690: }
1.1 noro 691: }
692:
1.61 noro 693: INLINE void ndl_copy(UINT *d1,UINT *d2)
1.6 noro 694: {
1.157 noro 695: int i;
1.6 noro 696:
1.157 noro 697: switch ( nd_wpd ) {
698: case 2:
699: TD(d2) = TD(d1);
700: d2[1] = d1[1];
701: break;
702: case 3:
703: TD(d2) = TD(d1);
704: d2[1] = d1[1];
705: d2[2] = d1[2];
706: break;
707: default:
708: for ( i = 0; i < nd_wpd; i++ )
709: d2[i] = d1[i];
710: break;
711: }
1.6 noro 712: }
713:
1.61 noro 714: INLINE void ndl_zero(UINT *d)
715: {
1.157 noro 716: int i;
717: for ( i = 0; i < nd_wpd; i++ ) d[i] = 0;
1.61 noro 718: }
719:
720: INLINE void ndl_add(UINT *d1,UINT *d2,UINT *d)
1.1 noro 721: {
1.157 noro 722: int i;
1.1 noro 723:
1.162 noro 724: if ( nd_module ) {
725: if ( MPOS(d1) && MPOS(d2) && (MPOS(d1) != MPOS(d2)) )
726: error("ndl_add : invalid operation");
727: }
1.43 noro 728: #if 1
1.157 noro 729: switch ( nd_wpd ) {
730: case 2:
731: TD(d) = TD(d1)+TD(d2);
732: d[1] = d1[1]+d2[1];
733: break;
734: case 3:
735: TD(d) = TD(d1)+TD(d2);
736: d[1] = d1[1]+d2[1];
737: d[2] = d1[2]+d2[2];
738: break;
739: default:
740: for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]+d2[i];
741: break;
742: }
1.43 noro 743: #else
1.157 noro 744: for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]+d2[i];
1.43 noro 745: #endif
1.6 noro 746: }
747:
1.55 noro 748: /* d1 += d2 */
1.61 noro 749: INLINE void ndl_addto(UINT *d1,UINT *d2)
1.55 noro 750: {
1.157 noro 751: int i;
1.55 noro 752:
1.162 noro 753: if ( nd_module ) {
754: if ( MPOS(d1) && MPOS(d2) && (MPOS(d1) != MPOS(d2)) )
755: error("ndl_addto : invalid operation");
756: }
1.55 noro 757: #if 1
1.157 noro 758: switch ( nd_wpd ) {
759: case 2:
760: TD(d1) += TD(d2);
761: d1[1] += d2[1];
762: break;
763: case 3:
764: TD(d1) += TD(d2);
765: d1[1] += d2[1];
766: d1[2] += d2[2];
767: break;
768: default:
769: for ( i = 0; i < nd_wpd; i++ ) d1[i] += d2[i];
770: break;
771: }
1.55 noro 772: #else
1.157 noro 773: for ( i = 0; i < nd_wpd; i++ ) d1[i] += d2[i];
1.55 noro 774: #endif
775: }
776:
1.61 noro 777: INLINE void ndl_sub(UINT *d1,UINT *d2,UINT *d)
1.6 noro 778: {
1.157 noro 779: int i;
1.6 noro 780:
1.157 noro 781: for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]-d2[i];
1.1 noro 782: }
783:
1.61 noro 784: int ndl_disjoint(UINT *d1,UINT *d2)
1.1 noro 785: {
1.157 noro 786: UINT t1,t2,u,u1,u2;
787: int i,j;
1.1 noro 788:
1.157 noro 789: if ( nd_module && (MPOS(d1) == MPOS(d2)) ) return 0;
1.65 noro 790: #if USE_UNROLL
1.157 noro 791: switch ( nd_bpe ) {
792: case 3:
793: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
794: u1 = d1[i]; u2 = d2[i];
795: t1 = u1&0x38000000; t2 = u2&0x38000000; if ( t1&&t2 ) return 0;
796: t1 = u1& 0x7000000; t2 = u2& 0x7000000; if ( t1&&t2 ) return 0;
797: t1 = u1& 0xe00000; t2 = u2& 0xe00000; if ( t1&&t2 ) return 0;
798: t1 = u1& 0x1c0000; t2 = u2& 0x1c0000; if ( t1&&t2 ) return 0;
799: t1 = u1& 0x38000; t2 = u2& 0x38000; if ( t1&&t2 ) return 0;
800: t1 = u1& 0x7000; t2 = u2& 0x7000; if ( t1&&t2 ) return 0;
801: t1 = u1& 0xe00; t2 = u2& 0xe00; if ( t1&&t2 ) return 0;
802: t1 = u1& 0x1c0; t2 = u2& 0x1c0; if ( t1&&t2 ) return 0;
803: t1 = u1& 0x38; t2 = u2& 0x38; if ( t1&&t2 ) return 0;
804: t1 = u1& 0x7; t2 = u2& 0x7; if ( t1&&t2 ) return 0;
805: }
806: return 1;
807: break;
808: case 4:
809: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
810: u1 = d1[i]; u2 = d2[i];
811: t1 = u1&0xf0000000; t2 = u2&0xf0000000; if ( t1&&t2 ) return 0;
812: t1 = u1& 0xf000000; t2 = u2& 0xf000000; if ( t1&&t2 ) return 0;
813: t1 = u1& 0xf00000; t2 = u2& 0xf00000; if ( t1&&t2 ) return 0;
814: t1 = u1& 0xf0000; t2 = u2& 0xf0000; if ( t1&&t2 ) return 0;
815: t1 = u1& 0xf000; t2 = u2& 0xf000; if ( t1&&t2 ) return 0;
816: t1 = u1& 0xf00; t2 = u2& 0xf00; if ( t1&&t2 ) return 0;
817: t1 = u1& 0xf0; t2 = u2& 0xf0; if ( t1&&t2 ) return 0;
818: t1 = u1& 0xf; t2 = u2& 0xf; if ( t1&&t2 ) return 0;
819: }
820: return 1;
821: break;
822: case 6:
823: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
824: u1 = d1[i]; u2 = d2[i];
825: t1 = u1&0x3f000000; t2 = u2&0x3f000000; if ( t1&&t2 ) return 0;
826: t1 = u1& 0xfc0000; t2 = u2& 0xfc0000; if ( t1&&t2 ) return 0;
827: t1 = u1& 0x3f000; t2 = u2& 0x3f000; if ( t1&&t2 ) return 0;
828: t1 = u1& 0xfc0; t2 = u2& 0xfc0; if ( t1&&t2 ) return 0;
829: t1 = u1& 0x3f; t2 = u2& 0x3f; if ( t1&&t2 ) return 0;
830: }
831: return 1;
832: break;
833: case 8:
834: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
835: u1 = d1[i]; u2 = d2[i];
836: t1 = u1&0xff000000; t2 = u2&0xff000000; if ( t1&&t2 ) return 0;
837: t1 = u1& 0xff0000; t2 = u2& 0xff0000; if ( t1&&t2 ) return 0;
838: t1 = u1& 0xff00; t2 = u2& 0xff00; if ( t1&&t2 ) return 0;
839: t1 = u1& 0xff; t2 = u2& 0xff; if ( t1&&t2 ) return 0;
840: }
841: return 1;
842: break;
843: case 16:
844: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
845: u1 = d1[i]; u2 = d2[i];
846: t1 = u1&0xffff0000; t2 = u2&0xffff0000; if ( t1&&t2 ) return 0;
847: t1 = u1& 0xffff; t2 = u2& 0xffff; if ( t1&&t2 ) return 0;
848: }
849: return 1;
850: break;
851: case 32:
852: for ( i = nd_exporigin; i < nd_wpd; i++ )
853: if ( d1[i] && d2[i] ) return 0;
854: return 1;
855: break;
856: default:
857: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
858: u1 = d1[i]; u2 = d2[i];
859: for ( j = 0; j < nd_epw; j++ ) {
860: if ( (u1&nd_mask0) && (u2&nd_mask0) ) return 0;
861: u1 >>= nd_bpe; u2 >>= nd_bpe;
862: }
863: }
864: return 1;
865: break;
866: }
1.65 noro 867: #else
1.157 noro 868: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
869: u1 = d1[i]; u2 = d2[i];
870: for ( j = 0; j < nd_epw; j++ ) {
871: if ( (u1&nd_mask0) && (u2&nd_mask0) ) return 0;
872: u1 >>= nd_bpe; u2 >>= nd_bpe;
873: }
874: }
875: return 1;
1.65 noro 876: #endif
1.1 noro 877: }
878:
1.114 noro 879: int ndl_check_bound(UINT *d1,UINT *d2)
1.1 noro 880: {
1.157 noro 881: UINT u2;
882: int i,j,ind,k;
1.1 noro 883:
1.157 noro 884: ind = 0;
1.65 noro 885: #if USE_UNROLL
1.157 noro 886: switch ( nd_bpe ) {
887: case 3:
888: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
889: u2 = d2[i];
890: if ( d1[ind++]+((u2>>27)&0x7) >= 0x8 ) return 1;
891: if ( d1[ind++]+((u2>>24)&0x7) >= 0x8 ) return 1;
892: if ( d1[ind++]+((u2>>21)&0x7) >= 0x8 ) return 1;
893: if ( d1[ind++]+((u2>>18)&0x7) >= 0x8 ) return 1;
894: if ( d1[ind++]+((u2>>15)&0x7) >= 0x8 ) return 1;
895: if ( d1[ind++]+((u2>>12)&0x7) >= 0x8 ) return 1;
896: if ( d1[ind++]+((u2>>9)&0x7) >= 0x8 ) return 1;
897: if ( d1[ind++]+((u2>>6)&0x7) >= 0x8 ) return 1;
898: if ( d1[ind++]+((u2>>3)&0x7) >= 0x8 ) return 1;
899: if ( d1[ind++]+(u2&0x7) >= 0x8 ) return 1;
900: }
901: return 0;
902: break;
903: case 4:
904: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
905: u2 = d2[i];
906: if ( d1[ind++]+((u2>>28)&0xf) >= 0x10 ) return 1;
907: if ( d1[ind++]+((u2>>24)&0xf) >= 0x10 ) return 1;
908: if ( d1[ind++]+((u2>>20)&0xf) >= 0x10 ) return 1;
909: if ( d1[ind++]+((u2>>16)&0xf) >= 0x10 ) return 1;
910: if ( d1[ind++]+((u2>>12)&0xf) >= 0x10 ) return 1;
911: if ( d1[ind++]+((u2>>8)&0xf) >= 0x10 ) return 1;
912: if ( d1[ind++]+((u2>>4)&0xf) >= 0x10 ) return 1;
913: if ( d1[ind++]+(u2&0xf) >= 0x10 ) return 1;
914: }
915: return 0;
916: break;
917: case 6:
918: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
919: u2 = d2[i];
920: if ( d1[ind++]+((u2>>24)&0x3f) >= 0x40 ) return 1;
921: if ( d1[ind++]+((u2>>18)&0x3f) >= 0x40 ) return 1;
922: if ( d1[ind++]+((u2>>12)&0x3f) >= 0x40 ) return 1;
923: if ( d1[ind++]+((u2>>6)&0x3f) >= 0x40 ) return 1;
924: if ( d1[ind++]+(u2&0x3f) >= 0x40 ) return 1;
925: }
926: return 0;
927: break;
928: case 8:
929: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
930: u2 = d2[i];
931: if ( d1[ind++]+((u2>>24)&0xff) >= 0x100 ) return 1;
932: if ( d1[ind++]+((u2>>16)&0xff) >= 0x100 ) return 1;
933: if ( d1[ind++]+((u2>>8)&0xff) >= 0x100 ) return 1;
934: if ( d1[ind++]+(u2&0xff) >= 0x100 ) return 1;
935: }
936: return 0;
937: break;
938: case 16:
939: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
940: u2 = d2[i];
941: if ( d1[ind++]+((u2>>16)&0xffff) > 0x10000 ) return 1;
942: if ( d1[ind++]+(u2&0xffff) > 0x10000 ) return 1;
943: }
944: return 0;
945: break;
946: case 32:
947: for ( i = nd_exporigin; i < nd_wpd; i++ )
948: if ( d1[i]+d2[i]<d1[i] ) return 1;
949: return 0;
950: break;
951: default:
952: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
953: u2 = d2[i];
954: k = (nd_epw-1)*nd_bpe;
955: for ( j = 0; j < nd_epw; j++, k -= nd_bpe )
956: if ( d1[ind++]+((u2>>k)&nd_mask0) > nd_mask0 ) return 1;
957: }
958: return 0;
959: break;
960: }
1.65 noro 961: #else
1.157 noro 962: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
963: u2 = d2[i];
964: k = (nd_epw-1)*nd_bpe;
965: for ( j = 0; j < nd_epw; j++, k -= nd_bpe )
966: if ( d1[ind++]+((u2>>k)&nd_mask0) > nd_mask0 ) return 1;
967: }
968: return 0;
1.65 noro 969: #endif
1.1 noro 970: }
971:
1.114 noro 972: int ndl_check_bound2(int index,UINT *d2)
973: {
1.157 noro 974: return ndl_check_bound(nd_bound[index],d2);
1.114 noro 975: }
976:
1.61 noro 977: INLINE int ndl_hash_value(UINT *d)
1.1 noro 978: {
1.157 noro 979: int i;
980: int r;
1.1 noro 981:
1.157 noro 982: r = 0;
983: for ( i = 0; i < nd_wpd; i++ )
984: r = ((r<<16)+d[i])%REDTAB_LEN;
985: return r;
1.1 noro 986: }
987:
1.63 noro 988: INLINE int ndl_find_reducer(UINT *dg)
1.1 noro 989: {
1.157 noro 990: RHist r;
991: int d,k,i;
1.1 noro 992:
1.157 noro 993: d = ndl_hash_value(dg);
994: for ( r = nd_red[d], k = 0; r; r = NEXT(r), k++ ) {
995: if ( ndl_equal(dg,DL(r)) ) {
996: if ( k > 0 ) nd_notfirst++;
997: nd_found++;
998: return r->index;
999: }
1000: }
1001: if ( Reverse )
1002: for ( i = nd_psn-1; i >= 0; i-- ) {
1003: r = nd_psh[i];
1004: if ( ndl_reducible(dg,DL(r)) ) {
1005: nd_create++;
1006: nd_append_red(dg,i);
1007: return i;
1008: }
1009: }
1010: else
1011: for ( i = 0; i < nd_psn; i++ ) {
1012: r = nd_psh[i];
1013: if ( ndl_reducible(dg,DL(r)) ) {
1014: nd_create++;
1015: nd_append_red(dg,i);
1016: return i;
1017: }
1018: }
1019: return -1;
1.1 noro 1020: }
1021:
1.63 noro 1022: ND nd_merge(ND p1,ND p2)
1023: {
1.157 noro 1024: int n,c;
1025: int t,can,td1,td2;
1026: ND r;
1027: NM m1,m2,mr0,mr,s;
1028:
1029: if ( !p1 ) return p2;
1030: else if ( !p2 ) return p1;
1031: else {
1032: can = 0;
1033: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
1034: c = DL_COMPARE(DL(m1),DL(m2));
1035: switch ( c ) {
1036: case 0:
1037: s = m1; m1 = NEXT(m1);
1038: can++; NEXTNM2(mr0,mr,s);
1039: s = m2; m2 = NEXT(m2); FREENM(s);
1040: break;
1041: case 1:
1042: s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
1043: break;
1044: case -1:
1045: s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
1046: break;
1047: }
1048: }
1049: if ( !mr0 )
1050: if ( m1 ) mr0 = m1;
1051: else if ( m2 ) mr0 = m2;
1052: else return 0;
1053: else if ( m1 ) NEXT(mr) = m1;
1054: else if ( m2 ) NEXT(mr) = m2;
1055: else NEXT(mr) = 0;
1056: BDY(p1) = mr0;
1057: SG(p1) = MAX(SG(p1),SG(p2));
1058: LEN(p1) = LEN(p1)+LEN(p2)-can;
1059: FREEND(p2);
1060: return p1;
1061: }
1.63 noro 1062: }
1063:
1.31 noro 1064: ND nd_add(int mod,ND p1,ND p2)
1.1 noro 1065: {
1.157 noro 1066: int n,c;
1067: int t,can,td1,td2;
1068: ND r;
1069: NM m1,m2,mr0,mr,s;
1070:
1071: if ( !p1 ) return p2;
1072: else if ( !p2 ) return p1;
1073: else if ( mod == -1 ) return nd_add_sf(p1,p2);
1074: else if ( !mod ) return nd_add_q(p1,p2);
1075: else {
1076: can = 0;
1077: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
1078: c = DL_COMPARE(DL(m1),DL(m2));
1079: switch ( c ) {
1080: case 0:
1081: t = ((CM(m1))+(CM(m2))) - mod;
1082: if ( t < 0 ) t += mod;
1083: s = m1; m1 = NEXT(m1);
1084: if ( t ) {
1085: can++; NEXTNM2(mr0,mr,s); CM(mr) = (t);
1086: } else {
1087: can += 2; FREENM(s);
1088: }
1089: s = m2; m2 = NEXT(m2); FREENM(s);
1090: break;
1091: case 1:
1092: s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
1093: break;
1094: case -1:
1095: s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
1096: break;
1097: }
1098: }
1099: if ( !mr0 )
1100: if ( m1 ) mr0 = m1;
1101: else if ( m2 ) mr0 = m2;
1102: else return 0;
1103: else if ( m1 ) NEXT(mr) = m1;
1104: else if ( m2 ) NEXT(mr) = m2;
1105: else NEXT(mr) = 0;
1106: BDY(p1) = mr0;
1107: SG(p1) = MAX(SG(p1),SG(p2));
1108: LEN(p1) = LEN(p1)+LEN(p2)-can;
1109: FREEND(p2);
1110: return p1;
1111: }
1.95 noro 1112: }
1113:
1114: /* XXX on opteron, the inlined manipulation of destructive additon of
1115: * two NM seems to make gcc optimizer get confused, so the part is
1116: * done in a function.
1117: */
1118:
1.113 noro 1119: int nm_destructive_add_q(NM *m1,NM *m2,NM *mr0,NM *mr)
1.95 noro 1120: {
1.157 noro 1121: NM s;
1122: P t;
1123: int can;
1124:
1125: addp(nd_vc,CP(*m1),CP(*m2),&t);
1126: s = *m1; *m1 = NEXT(*m1);
1127: if ( t ) {
1128: can = 1; NEXTNM2(*mr0,*mr,s); CP(*mr) = (t);
1129: } else {
1130: can = 2; FREENM(s);
1131: }
1132: s = *m2; *m2 = NEXT(*m2); FREENM(s);
1133: return can;
1.95 noro 1134: }
1135:
1.113 noro 1136: ND nd_add_q(ND p1,ND p2)
1.95 noro 1137: {
1.157 noro 1138: int n,c,can;
1139: ND r;
1140: NM m1,m2,mr0,mr,s;
1141: P t;
1142:
1143: if ( !p1 ) return p2;
1144: else if ( !p2 ) return p1;
1145: else {
1146: can = 0;
1147: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
1148: c = DL_COMPARE(DL(m1),DL(m2));
1149: switch ( c ) {
1150: case 0:
1.95 noro 1151: #if defined(__x86_64__)
1.157 noro 1152: can += nm_destructive_add_q(&m1,&m2,&mr0,&mr);
1.95 noro 1153: #else
1.157 noro 1154: addp(nd_vc,CP(m1),CP(m2),&t);
1155: s = m1; m1 = NEXT(m1);
1156: if ( t ) {
1157: can++; NEXTNM2(mr0,mr,s); CP(mr) = (t);
1158: } else {
1159: can += 2; FREENM(s);
1160: }
1161: s = m2; m2 = NEXT(m2); FREENM(s);
1.95 noro 1162: #endif
1.157 noro 1163: break;
1164: case 1:
1165: s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
1166: break;
1167: case -1:
1168: s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
1169: break;
1170: }
1171: }
1172: if ( !mr0 )
1173: if ( m1 ) mr0 = m1;
1174: else if ( m2 ) mr0 = m2;
1175: else return 0;
1176: else if ( m1 ) NEXT(mr) = m1;
1177: else if ( m2 ) NEXT(mr) = m2;
1178: else NEXT(mr) = 0;
1179: BDY(p1) = mr0;
1180: SG(p1) = MAX(SG(p1),SG(p2));
1181: LEN(p1) = LEN(p1)+LEN(p2)-can;
1182: FREEND(p2);
1183: return p1;
1184: }
1.17 noro 1185: }
1186:
1.71 noro 1187: ND nd_add_sf(ND p1,ND p2)
1188: {
1.157 noro 1189: int n,c,can;
1190: ND r;
1191: NM m1,m2,mr0,mr,s;
1192: int t;
1193:
1194: if ( !p1 ) return p2;
1195: else if ( !p2 ) return p1;
1196: else {
1197: can = 0;
1198: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
1199: c = DL_COMPARE(DL(m1),DL(m2));
1200: switch ( c ) {
1201: case 0:
1202: t = _addsf(CM(m1),CM(m2));
1203: s = m1; m1 = NEXT(m1);
1204: if ( t ) {
1205: can++; NEXTNM2(mr0,mr,s); CM(mr) = (t);
1206: } else {
1207: can += 2; FREENM(s);
1208: }
1209: s = m2; m2 = NEXT(m2); FREENM(s);
1210: break;
1211: case 1:
1212: s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
1213: break;
1214: case -1:
1215: s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
1216: break;
1217: }
1218: }
1219: if ( !mr0 )
1220: if ( m1 ) mr0 = m1;
1221: else if ( m2 ) mr0 = m2;
1222: else return 0;
1223: else if ( m1 ) NEXT(mr) = m1;
1224: else if ( m2 ) NEXT(mr) = m2;
1225: else NEXT(mr) = 0;
1226: BDY(p1) = mr0;
1227: SG(p1) = MAX(SG(p1),SG(p2));
1228: LEN(p1) = LEN(p1)+LEN(p2)-can;
1229: FREEND(p2);
1230: return p1;
1231: }
1.71 noro 1232: }
1233:
1.146 noro 1234: ND nd_reduce2(int mod,ND d,ND g,NDV p,NM mul,NDC dn)
1235: {
1.157 noro 1236: int c,c1,c2;
1237: Q cg,cred,gcd,tq;
1238: P cgp,credp,gcdp;
1239: Obj tr,tr1;
1240:
1241: if ( mod == -1 )
1242: CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g)));
1243: else if ( mod ) {
1244: c1 = invm(HCM(p),mod); c2 = mod-HCM(g);
1245: DMAR(c1,c2,0,mod,c); CM(mul) = c;
1246: } else if ( nd_vc ) {
1247: ezgcdpz(nd_vc,HCP(g),HCP(p),&gcdp);
1248: divsp(nd_vc,HCP(g),gcdp,&cgp); divsp(nd_vc,HCP(p),gcdp,&credp);
1249: chsgnp(cgp,&CP(mul));
1250: nd_mul_c_q(d,credp); nd_mul_c_q(g,credp);
1251: if ( dn ) {
1252: mulr(nd_vc,(Obj)dn->r,(Obj)credp,&tr);
1253: reductr(nd_vc,tr,&tr1); dn->r = (R)tr1;
1254: }
1255: } else {
1256: igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred);
1257: chsgnq(cg,&CQ(mul));
1258: nd_mul_c_q(d,(P)cred); nd_mul_c_q(g,(P)cred);
1259: if ( dn ) {
1260: mulq(dn->z,cred,&tq); dn->z = tq;
1261: }
1262: }
1263: return nd_add(mod,g,ndv_mul_nm(mod,mul,p));
1.146 noro 1264: }
1265:
1.1 noro 1266: /* ret=1 : success, ret=0 : overflow */
1.146 noro 1267: int nd_nf(int mod,ND d,ND g,NDV *ps,int full,NDC dn,ND *rp)
1.1 noro 1268: {
1.157 noro 1269: NM m,mrd,tail;
1270: NM mul;
1271: int n,sugar,psugar,sugar0,stat,index;
1272: int c,c1,c2,dummy;
1273: RHist h;
1274: NDV p,red;
1275: Q cg,cred,gcd,tq,qq;
1276: double hmag;
1277: P tp,tp1;
1278: Obj tr,tr1;
1279:
1280: if ( dn ) {
1281: if ( mod )
1282: dn->m = 1;
1283: else if ( nd_vc )
1284: dn->r = (R)ONE;
1285: else
1286: dn->z = ONE;
1287: }
1288: if ( !g ) {
1289: *rp = d;
1290: return 1;
1291: }
1292: if ( !mod ) hmag = ((double)p_mag(HCP(g)))*nd_scale;
1293:
1294: sugar0 = sugar = SG(g);
1295: n = NV(g);
1296: mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
1297: if ( d )
1298: for ( tail = BDY(d); NEXT(tail); tail = NEXT(tail) );
1299: for ( ; g; ) {
1300: index = ndl_find_reducer(HDL(g));
1301: if ( index >= 0 ) {
1302: h = nd_psh[index];
1303: ndl_sub(HDL(g),DL(h),DL(mul));
1304: if ( ndl_check_bound2(index,DL(mul)) ) {
1305: nd_free(g); nd_free(d);
1306: return 0;
1307: }
1308: p = nd_demand ? ndv_load(index) : ps[index];
1309: g = nd_reduce2(mod,d,g,p,mul,dn);
1310: sugar = MAX(sugar,SG(p)+TD(DL(mul)));
1311: if ( !mod && g && ((double)(p_mag(HCP(g))) > hmag) ) {
1312: tp = HCP(g);
1313: nd_removecont2(d,g);
1314: if ( dn ) {
1315: if ( nd_vc ) {
1316: divsp(nd_vc,tp,HCP(g),&tp1);
1317: divr(nd_vc,(Obj)dn->r,(Obj)tp1,&tr);
1318: reductr(nd_vc,(Obj)tr,&tr1); dn->r = (R)tr1;
1319: } else {
1320: divq((Q)tp,HCQ(g),&qq);
1321: divq(dn->z,qq,&tq); dn->z = tq;
1322: }
1323: }
1324: hmag = ((double)p_mag(HCP(g)))*nd_scale;
1325: }
1326: } else if ( !full ) {
1327: *rp = g;
1328: return 1;
1329: } else {
1330: m = BDY(g);
1331: if ( NEXT(m) ) {
1332: BDY(g) = NEXT(m); NEXT(m) = 0; LEN(g)--;
1333: } else {
1334: FREEND(g); g = 0;
1335: }
1336: if ( d ) {
1337: NEXT(tail)=m; tail=m; LEN(d)++;
1338: } else {
1339: MKND(n,m,1,d); tail = BDY(d);
1340: }
1341: }
1342: }
1343: if ( d ) SG(d) = sugar;
1344: *rp = d;
1345: return 1;
1.1 noro 1346: }
1.28 noro 1347:
1.53 noro 1348: int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp)
1.25 noro 1349: {
1.157 noro 1350: int hindex,index;
1351: NDV p;
1352: ND u,d,red;
1353: NODE l;
1354: NM mul,m,mrd,tail;
1355: int sugar,psugar,n,h_reducible;
1356: PGeoBucket bucket;
1357: int c,c1,c2;
1358: Q cg,cred,gcd,zzz;
1359: RHist h;
1360: double hmag,gmag;
1361: int count = 0;
1362: int hcount = 0;
1363:
1364: if ( !g ) {
1365: *rp = 0;
1366: return 1;
1367: }
1368: sugar = SG(g);
1369: n = NV(g);
1370: if ( !mod ) hmag = ((double)p_mag((P)HCQ(g)))*nd_scale;
1371: bucket = create_pbucket();
1372: add_pbucket(mod,bucket,g);
1373: d = 0;
1374: mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
1375: while ( 1 ) {
1376: hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket);
1377: if ( hindex < 0 ) {
1378: if ( DP_Print > 3 ) printf("(%d %d)",count,hcount);
1379: if ( d ) SG(d) = sugar;
1380: *rp = d;
1381: return 1;
1382: }
1383: g = bucket->body[hindex];
1384: index = ndl_find_reducer(HDL(g));
1385: if ( index >= 0 ) {
1386: count++;
1387: if ( !d ) hcount++;
1388: h = nd_psh[index];
1389: ndl_sub(HDL(g),DL(h),DL(mul));
1390: if ( ndl_check_bound2(index,DL(mul)) ) {
1391: nd_free(d);
1392: free_pbucket(bucket);
1393: *rp = 0;
1394: return 0;
1395: }
1396: p = ps[index];
1397: if ( mod == -1 )
1398: CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g)));
1399: else if ( mod ) {
1400: c1 = invm(HCM(p),mod); c2 = mod-HCM(g);
1401: DMAR(c1,c2,0,mod,c); CM(mul) = c;
1402: } else {
1403: igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred);
1404: chsgnq(cg,&CQ(mul));
1405: nd_mul_c_q(d,(P)cred);
1406: mulq_pbucket(bucket,cred);
1407: g = bucket->body[hindex];
1408: gmag = (double)p_mag((P)HCQ(g));
1409: }
1410: red = ndv_mul_nm(mod,mul,p);
1411: bucket->body[hindex] = nd_remove_head(g);
1412: red = nd_remove_head(red);
1413: add_pbucket(mod,bucket,red);
1414: psugar = SG(p)+TD(DL(mul));
1415: sugar = MAX(sugar,psugar);
1416: if ( !mod && hmag && (gmag > hmag) ) {
1417: g = normalize_pbucket(mod,bucket);
1418: if ( !g ) {
1419: if ( d ) SG(d) = sugar;
1420: *rp = d;
1421: return 1;
1422: }
1423: nd_removecont2(d,g);
1424: hmag = ((double)p_mag((P)HCQ(g)))*nd_scale;
1425: add_pbucket(mod,bucket,g);
1426: }
1427: } else if ( !full ) {
1428: g = normalize_pbucket(mod,bucket);
1429: if ( g ) SG(g) = sugar;
1430: *rp = g;
1431: return 1;
1432: } else {
1433: m = BDY(g);
1434: if ( NEXT(m) ) {
1435: BDY(g) = NEXT(m); NEXT(m) = 0; LEN(g)--;
1436: } else {
1437: FREEND(g); g = 0;
1438: }
1439: bucket->body[hindex] = g;
1440: NEXT(m) = 0;
1441: if ( d ) {
1442: NEXT(tail)=m; tail=m; LEN(d)++;
1443: } else {
1444: MKND(n,m,1,d); tail = BDY(d);
1445: }
1446: }
1447: }
1.25 noro 1448: }
1.27 noro 1449:
1.61 noro 1450: /* input : list of NDV, cand : list of NDV */
1.28 noro 1451:
1.61 noro 1452: int ndv_check_candidate(NODE input,int obpe,int oadv,EPOS oepos,NODE cand)
1.28 noro 1453: {
1.157 noro 1454: int n,i,stat;
1455: ND nf,d;
1456: NDV r;
1457: NODE t,s;
1458: union oNDC dn;
1.45 noro 1459:
1.157 noro 1460: ndv_setup(0,0,cand,0,1);
1461: n = length(cand);
1.28 noro 1462:
1.157 noro 1463: /* membercheck : list is a subset of Id(cand) ? */
1464: for ( t = input; t; t = NEXT(t) ) {
1.45 noro 1465: again:
1.157 noro 1466: if ( nd_bpe > obpe )
1467: r = ndv_dup_realloc((NDV)BDY(t),obpe,oadv,oepos);
1468: else
1469: r = (NDV)BDY(t);
1470: d = ndvtond(0,r);
1471: stat = nd_nf(0,0,d,nd_ps,0,0,&nf);
1472: if ( !stat ) {
1473: nd_reconstruct(0,0);
1474: goto again;
1475: } else if ( nf ) return 0;
1476: if ( DP_Print ) { printf("."); fflush(stdout); }
1477: }
1478: if ( DP_Print ) { printf("\n"); }
1479: /* gbcheck : cand is a GB of Id(cand) ? */
1480: if ( !nd_gb(0,0,1) ) return 0;
1481: /* XXX */
1482: return 1;
1.23 noro 1483: }
1.1 noro 1484:
1485: ND nd_remove_head(ND p)
1486: {
1.157 noro 1487: NM m;
1.1 noro 1488:
1.157 noro 1489: m = BDY(p);
1490: if ( !NEXT(m) ) {
1491: FREEND(p); p = 0;
1492: } else {
1493: BDY(p) = NEXT(m); LEN(p)--;
1494: }
1495: FREENM(m);
1496: return p;
1.1 noro 1497: }
1498:
1.69 noro 1499: ND nd_separate_head(ND p,ND *head)
1500: {
1.157 noro 1501: NM m,m0;
1502: ND r;
1.69 noro 1503:
1.157 noro 1504: m = BDY(p);
1505: if ( !NEXT(m) ) {
1506: *head = p; p = 0;
1507: } else {
1508: m0 = m;
1509: BDY(p) = NEXT(m); LEN(p)--;
1510: NEXT(m0) = 0;
1511: MKND(NV(p),m0,1,r);
1512: *head = r;
1513: }
1514: return p;
1.69 noro 1515: }
1516:
1.1 noro 1517: PGeoBucket create_pbucket()
1518: {
1519: PGeoBucket g;
1.157 noro 1520:
1521: g = CALLOC(1,sizeof(struct oPGeoBucket));
1522: g->m = -1;
1523: return g;
1.1 noro 1524: }
1525:
1.25 noro 1526: void free_pbucket(PGeoBucket b) {
1.157 noro 1527: int i;
1.25 noro 1528:
1.157 noro 1529: for ( i = 0; i <= b->m; i++ )
1530: if ( b->body[i] ) {
1531: nd_free(b->body[i]);
1532: b->body[i] = 0;
1533: }
1534: GC_free(b);
1.25 noro 1535: }
1536:
1.63 noro 1537: void add_pbucket_symbolic(PGeoBucket g,ND d)
1538: {
1.157 noro 1539: int l,i,k,m;
1.63 noro 1540:
1.157 noro 1541: if ( !d )
1542: return;
1543: l = LEN(d);
1544: for ( k = 0, m = 1; l > m; k++, m <<= 1 );
1545: /* 2^(k-1) < l <= 2^k (=m) */
1546: d = nd_merge(g->body[k],d);
1547: for ( ; d && LEN(d) > m; k++, m <<= 1 ) {
1548: g->body[k] = 0;
1549: d = nd_merge(g->body[k+1],d);
1550: }
1551: g->body[k] = d;
1552: g->m = MAX(g->m,k);
1.63 noro 1553: }
1554:
1.31 noro 1555: void add_pbucket(int mod,PGeoBucket g,ND d)
1.1 noro 1556: {
1.157 noro 1557: int l,i,k,m;
1.1 noro 1558:
1.157 noro 1559: if ( !d )
1560: return;
1561: l = LEN(d);
1562: for ( k = 0, m = 1; l > m; k++, m <<= 1 );
1563: /* 2^(k-1) < l <= 2^k (=m) */
1564: d = nd_add(mod,g->body[k],d);
1565: for ( ; d && LEN(d) > m; k++, m <<= 1 ) {
1566: g->body[k] = 0;
1567: d = nd_add(mod,g->body[k+1],d);
1568: }
1569: g->body[k] = d;
1570: g->m = MAX(g->m,k);
1.1 noro 1571: }
1572:
1.113 noro 1573: void mulq_pbucket(PGeoBucket g,Q c)
1.26 noro 1574: {
1.157 noro 1575: int k;
1.26 noro 1576:
1.157 noro 1577: for ( k = 0; k <= g->m; k++ )
1578: nd_mul_c_q(g->body[k],(P)c);
1.26 noro 1579: }
1580:
1.63 noro 1581: NM remove_head_pbucket_symbolic(PGeoBucket g)
1582: {
1.157 noro 1583: int j,i,k,c;
1584: NM head;
1585:
1586: k = g->m;
1587: j = -1;
1588: for ( i = 0; i <= k; i++ ) {
1589: if ( !g->body[i] ) continue;
1590: if ( j < 0 ) j = i;
1591: else {
1592: c = DL_COMPARE(HDL(g->body[i]),HDL(g->body[j]));
1593: if ( c > 0 )
1594: j = i;
1595: else if ( c == 0 )
1596: g->body[i] = nd_remove_head(g->body[i]);
1597: }
1598: }
1599: if ( j < 0 ) return 0;
1600: else {
1601: head = BDY(g->body[j]);
1602: if ( !NEXT(head) ) {
1603: FREEND(g->body[j]);
1604: g->body[j] = 0;
1605: } else {
1606: BDY(g->body[j]) = NEXT(head);
1607: LEN(g->body[j])--;
1608: }
1609: return head;
1610: }
1.63 noro 1611: }
1612:
1.19 noro 1613: int head_pbucket(int mod,PGeoBucket g)
1.1 noro 1614: {
1.157 noro 1615: int j,i,c,k,nv,sum;
1616: UINT *di,*dj;
1617: ND gi,gj;
1618:
1619: k = g->m;
1620: while ( 1 ) {
1621: j = -1;
1622: for ( i = 0; i <= k; i++ ) {
1623: if ( !(gi = g->body[i]) )
1624: continue;
1625: if ( j < 0 ) {
1626: j = i;
1627: gj = g->body[j];
1628: dj = HDL(gj);
1629: sum = HCM(gj);
1630: } else {
1631: c = DL_COMPARE(HDL(gi),dj);
1632: if ( c > 0 ) {
1633: if ( sum ) HCM(gj) = sum;
1634: else g->body[j] = nd_remove_head(gj);
1635: j = i;
1636: gj = g->body[j];
1637: dj = HDL(gj);
1638: sum = HCM(gj);
1639: } else if ( c == 0 ) {
1640: if ( mod == -1 )
1641: sum = _addsf(sum,HCM(gi));
1642: else {
1643: sum = sum+HCM(gi)-mod;
1644: if ( sum < 0 ) sum += mod;
1645: }
1646: g->body[i] = nd_remove_head(gi);
1647: }
1648: }
1649: }
1650: if ( j < 0 ) return -1;
1651: else if ( sum ) {
1652: HCM(gj) = sum;
1653: return j;
1654: } else
1655: g->body[j] = nd_remove_head(gj);
1656: }
1.26 noro 1657: }
1658:
1.113 noro 1659: int head_pbucket_q(PGeoBucket g)
1.26 noro 1660: {
1.157 noro 1661: int j,i,c,k,nv;
1662: Q sum,t;
1663: ND gi,gj;
1664:
1665: k = g->m;
1666: while ( 1 ) {
1667: j = -1;
1668: for ( i = 0; i <= k; i++ ) {
1669: if ( !(gi = g->body[i]) ) continue;
1670: if ( j < 0 ) {
1671: j = i;
1672: gj = g->body[j];
1673: sum = HCQ(gj);
1674: } else {
1675: nv = NV(gi);
1676: c = DL_COMPARE(HDL(gi),HDL(gj));
1677: if ( c > 0 ) {
1678: if ( sum ) HCQ(gj) = sum;
1679: else g->body[j] = nd_remove_head(gj);
1680: j = i;
1681: gj = g->body[j];
1682: sum = HCQ(gj);
1683: } else if ( c == 0 ) {
1684: addq(sum,HCQ(gi),&t);
1685: sum = t;
1686: g->body[i] = nd_remove_head(gi);
1687: }
1688: }
1689: }
1690: if ( j < 0 ) return -1;
1691: else if ( sum ) {
1692: HCQ(gj) = sum;
1693: return j;
1694: } else
1695: g->body[j] = nd_remove_head(gj);
1696: }
1.1 noro 1697: }
1698:
1.25 noro 1699: ND normalize_pbucket(int mod,PGeoBucket g)
1.1 noro 1700: {
1.157 noro 1701: int i;
1702: ND r,t;
1.1 noro 1703:
1.157 noro 1704: r = 0;
1705: for ( i = 0; i <= g->m; i++ ) {
1706: r = nd_add(mod,r,g->body[i]);
1707: g->body[i] = 0;
1708: }
1709: g->m = -1;
1710: return r;
1.1 noro 1711: }
1712:
1.150 noro 1713: #if 0
1714: void register_hcf(NDV p)
1715: {
1.157 noro 1716: DCP dc,t;
1717: P hc,h;
1718: int c;
1719: NODE l,l1,prev;
1720:
1721: hc = p->body->c.p;
1722: if ( !nd_vc || NUM(hc) ) return;
1723: fctrp(nd_vc,hc,&dc);
1724: for ( t = dc; t; t = NEXT(t) ) {
1725: h = t->c;
1726: if ( NUM(h) ) continue;
1727: for ( prev = 0, l = nd_hcf; l; prev = l, l = NEXT(l) ) {
1728: c = compp(nd_vc,h,(P)BDY(l));
1729: if ( c >= 0 ) break;
1730: }
1731: if ( !l || c > 0 ) {
1732: MKNODE(l1,h,l);
1733: if ( !prev )
1734: nd_hcf = l1;
1735: else
1736: NEXT(prev) = l1;
1737: }
1738: }
1.150 noro 1739: }
1740: #else
1741: void register_hcf(NDV p)
1742: {
1.157 noro 1743: DCP dc,t;
1744: P hc,h,q;
1745: Q dmy;
1746: int c;
1747: NODE l,l1,prev;
1748:
1749: hc = p->body->c.p;
1750: if ( NUM(hc) ) return;
1751: ptozp(hc,1,&dmy,&h);
1.150 noro 1752: #if 1
1.157 noro 1753: for ( l = nd_hcf; l; l = NEXT(l) ) {
1754: while ( 1 ) {
1755: if ( divtpz(nd_vc,h,(P)BDY(l),&q) ) h = q;
1756: else break;
1757: }
1758: }
1759: if ( NUM(h) ) return;
1.150 noro 1760: #endif
1.157 noro 1761: for ( prev = 0, l = nd_hcf; l; prev = l, l = NEXT(l) ) {
1762: c = compp(nd_vc,h,(P)BDY(l));
1763: if ( c >= 0 ) break;
1764: }
1765: if ( !l || c > 0 ) {
1766: MKNODE(l1,h,l);
1767: if ( !prev )
1768: nd_hcf = l1;
1769: else
1770: NEXT(prev) = l1;
1771: }
1.150 noro 1772: }
1773: #endif
1774:
1.122 noro 1775: int do_diagonalize(int sugar,int m)
1.92 noro 1776: {
1.157 noro 1777: int i,nh,stat;
1778: NODE r,g,t;
1779: ND h,nf,s,head;
1780: NDV nfv;
1781: Q q,num,den;
1782: P nm,nmp,dn,mnp,dnp;
1783:
1784: for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) {
1785: if ( nd_demand )
1786: nfv = ndv_load(i);
1787: else
1788: nfv = nd_ps[i];
1789: s = ndvtond(m,nfv);
1790: s = nd_separate_head(s,&head);
1791: stat = nd_nf(m,head,s,nd_ps,1,0,&nf);
1792: if ( !stat ) return 0;
1793: ndv_free(nfv);
1794: nd_removecont(m,nf);
1795: nfv = ndtondv(m,nf);
1796: nd_free(nf);
1797: nd_bound[i] = ndv_compute_bound(nfv);
1798: if ( !m ) register_hcf(nfv);
1799: if ( nd_demand ) {
1800: ndv_save(nfv,i);
1801: ndv_free(nfv);
1802: } else
1803: nd_ps[i] = nfv;
1804: }
1805: return 1;
1.92 noro 1806: }
1807:
1.27 noro 1808: /* return value = 0 => input is not a GB */
1809:
1.77 noro 1810: NODE nd_gb(int m,int ishomo,int checkonly)
1.1 noro 1811: {
1.157 noro 1812: int i,nh,sugar,stat;
1813: NODE r,g,t;
1814: ND_pairs d;
1815: ND_pairs l;
1816: ND h,nf,s,head,nf1;
1817: NDV nfv;
1818: Q q,num,den;
1819: union oNDC dn;
1820: int diag_count = 0;
1821:
1822: g = 0; d = 0;
1823: for ( i = 0; i < nd_psn; i++ ) {
1824: d = update_pairs(d,g,i);
1825: g = update_base(g,i);
1826: }
1827: sugar = 0;
1828: while ( d ) {
1.1 noro 1829: again:
1.157 noro 1830: l = nd_minp(d,&d);
1831: if ( SG(l) != sugar ) {
1832: if ( ishomo ) {
1833: diag_count = 0;
1834: stat = do_diagonalize(sugar,m);
1835: if ( !stat ) {
1836: NEXT(l) = d; d = l;
1837: d = nd_reconstruct(0,d);
1838: goto again;
1839: }
1840: }
1841: sugar = SG(l);
1842: if ( DP_Print ) fprintf(asir_out,"%d",sugar);
1843: }
1844: stat = nd_sp(m,0,l,&h);
1845: if ( !stat ) {
1846: NEXT(l) = d; d = l;
1847: d = nd_reconstruct(0,d);
1848: goto again;
1849: }
1.41 noro 1850: #if USE_GEOBUCKET
1.157 noro 1851: stat = m?nd_nf_pbucket(m,h,nd_ps,!Top,&nf):nd_nf(m,0,h,nd_ps,!Top,0,&nf);
1.41 noro 1852: #else
1.157 noro 1853: stat = nd_nf(m,0,h,nd_ps,!Top,0,&nf);
1.41 noro 1854: #endif
1.157 noro 1855: if ( !stat ) {
1856: NEXT(l) = d; d = l;
1857: d = nd_reconstruct(0,d);
1858: goto again;
1859: } else if ( nf ) {
1860: if ( checkonly ) return 0;
1861: if ( DP_Print ) { printf("+"); fflush(stdout); }
1862: nd_removecont(m,nf);
1863: if ( !m && nd_nalg ) {
1864: nd_monic(0,&nf);
1865: nd_removecont(m,nf);
1866: }
1867: nfv = ndtondv(m,nf); nd_free(nf);
1868: nh = ndv_newps(m,nfv,0);
1869: if ( !m && (ishomo && ++diag_count == diag_period) ) {
1870: diag_count = 0;
1871: stat = do_diagonalize(sugar,m);
1872: if ( !stat ) {
1873: NEXT(l) = d; d = l;
1874: d = nd_reconstruct(1,d);
1875: goto again;
1876: }
1877: }
1878: d = update_pairs(d,g,nh);
1879: g = update_base(g,nh);
1880: FREENDP(l);
1881: } else {
1882: if ( DP_Print ) { printf("."); fflush(stdout); }
1883: FREENDP(l);
1884: }
1885: }
1886: if ( nd_demand )
1887: for ( t = g; t; t = NEXT(t) )
1.159 noro 1888: BDY(t) = (pointer)ndv_load((long)BDY(t));
1.157 noro 1889: else
1890: for ( t = g; t; t = NEXT(t) )
1.159 noro 1891: BDY(t) = (pointer)nd_ps[(long)BDY(t)];
1.157 noro 1892: if ( !checkonly && DP_Print ) { printf("nd_gb done.\n"); fflush(stdout); }
1893: return g;
1.1 noro 1894: }
1895:
1.122 noro 1896: int do_diagonalize_trace(int sugar,int m)
1.91 noro 1897: {
1.157 noro 1898: int i,nh,stat;
1899: NODE r,g,t;
1900: ND h,nf,nfq,s,head;
1901: NDV nfv,nfqv;
1902: Q q,den,num;
1903:
1904: for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) {
1905: /* for nd_ps */
1906: s = ndvtond(m,nd_ps[i]);
1907: s = nd_separate_head(s,&head);
1908: stat = nd_nf_pbucket(m,s,nd_ps,1,&nf);
1909: if ( !stat ) return 0;
1910: nf = nd_add(m,head,nf);
1911: ndv_free(nd_ps[i]);
1912: nd_ps[i] = ndtondv(m,nf);
1913: nd_free(nf);
1914:
1915: /* for nd_ps_trace */
1916: if ( nd_demand )
1917: nfv = ndv_load(i);
1918: else
1919: nfv = nd_ps_trace[i];
1920: s = ndvtond(0,nfv);
1921: s = nd_separate_head(s,&head);
1922: stat = nd_nf(0,head,s,nd_ps_trace,1,0,&nf);
1923: if ( !stat ) return 0;
1924: ndv_free(nfv);
1925: nd_removecont(0,nf);
1926: nfv = ndtondv(0,nf);
1927: nd_free(nf);
1928: nd_bound[i] = ndv_compute_bound(nfv);
1929: register_hcf(nfv);
1930: if ( nd_demand ) {
1931: ndv_save(nfv,i);
1932: ndv_free(nfv);
1933: } else
1934: nd_ps_trace[i] = nfv;
1935: }
1936: return 1;
1.91 noro 1937: }
1938:
1.118 noro 1939: static struct oEGT eg_invdalg;
1940: struct oEGT eg_le;
1941:
1.147 noro 1942: void nd_subst_vector(VL vl,P p,NODE subst,P *r)
1943: {
1.157 noro 1944: NODE tn;
1945: P p1;
1.147 noro 1946:
1.157 noro 1947: for ( tn = subst; tn; tn = NEXT(NEXT(tn)) ) {
1948: substp(vl,p,BDY(tn),BDY(NEXT(tn)),&p1); p = p1;
1949: }
1950: *r = p;
1.147 noro 1951: }
1952:
1.82 noro 1953: NODE nd_gb_trace(int m,int ishomo)
1.20 noro 1954: {
1.157 noro 1955: int i,nh,sugar,stat;
1956: NODE r,g,t;
1957: ND_pairs d;
1958: ND_pairs l;
1959: ND h,nf,nfq,s,head;
1960: NDV nfv,nfqv;
1961: Q q,den,num;
1962: P hc;
1963: union oNDC dn;
1964: struct oEGT eg_monic,egm0,egm1;
1965: int diag_count = 0;
1966:
1967: init_eg(&eg_monic);
1968: init_eg(&eg_invdalg);
1969: init_eg(&eg_le);
1970: g = 0; d = 0;
1971: for ( i = 0; i < nd_psn; i++ ) {
1972: d = update_pairs(d,g,i);
1973: g = update_base(g,i);
1974: }
1975: sugar = 0;
1976: while ( d ) {
1.20 noro 1977: again:
1.157 noro 1978: l = nd_minp(d,&d);
1979: if ( SG(l) != sugar ) {
1.130 noro 1980: #if 1
1.157 noro 1981: if ( ishomo ) {
1982: if ( DP_Print > 2 ) fprintf(asir_out,"|");
1983: stat = do_diagonalize_trace(sugar,m);
1984: if ( DP_Print > 2 ) fprintf(asir_out,"|");
1985: diag_count = 0;
1986: if ( !stat ) {
1987: NEXT(l) = d; d = l;
1988: d = nd_reconstruct(1,d);
1989: goto again;
1990: }
1991: }
1.130 noro 1992: #endif
1.157 noro 1993: sugar = SG(l);
1994: if ( DP_Print ) fprintf(asir_out,"%d",sugar);
1995: }
1996: stat = nd_sp(m,0,l,&h);
1997: if ( !stat ) {
1998: NEXT(l) = d; d = l;
1999: d = nd_reconstruct(1,d);
2000: goto again;
2001: }
1.41 noro 2002: #if USE_GEOBUCKET
1.157 noro 2003: stat = nd_nf_pbucket(m,h,nd_ps,!Top,&nf);
1.41 noro 2004: #else
1.157 noro 2005: stat = nd_nf(m,0,h,nd_ps,!Top,0,&nf);
1.41 noro 2006: #endif
1.157 noro 2007: if ( !stat ) {
2008: NEXT(l) = d; d = l;
2009: d = nd_reconstruct(1,d);
2010: goto again;
2011: } else if ( nf ) {
2012: if ( nd_demand ) {
2013: nfqv = ndv_load(nd_psn);
2014: nfq = ndvtond(0,nfqv);
2015: } else
2016: nfq = 0;
2017: if ( !nfq ) {
2018: if ( !nd_sp(0,1,l,&h) || !nd_nf(0,0,h,nd_ps_trace,!Top,0,&nfq) ) {
2019: NEXT(l) = d; d = l;
2020: d = nd_reconstruct(1,d);
2021: goto again;
2022: }
2023: }
2024: if ( nfq ) {
2025: /* m|HC(nfq) => failure */
2026: if ( nd_vc ) {
2027: nd_subst_vector(nd_vc,HCP(nfq),nd_subst,&hc); q = (Q)hc;
2028: } else
2029: q = HCQ(nfq);
2030: if ( !rem(NM(q),m) ) return 0;
2031:
2032: if ( DP_Print ) { printf("+"); fflush(stdout); }
2033: if ( nd_nalg ) {
2034: /* m|DN(HC(nf)^(-1)) => failure */
2035: get_eg(&egm0);
2036: if ( !nd_monic(m,&nfq) ) return 0;
2037: get_eg(&egm1); add_eg(&eg_monic,&egm0,&egm1);
2038: nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq);
2039: nfv = ndv_dup(0,nfqv); ndv_mod(m,nfv); nd_free(nf);
2040: } else {
2041: nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq);
2042: nd_removecont(m,nf); nfv = ndtondv(m,nf); nd_free(nf);
2043: }
2044: nh = ndv_newps(0,nfv,nfqv);
2045: if ( ishomo && ++diag_count == diag_period ) {
2046: diag_count = 0;
2047: if ( DP_Print > 2 ) fprintf(asir_out,"|");
2048: stat = do_diagonalize_trace(sugar,m);
2049: if ( DP_Print > 2 ) fprintf(asir_out,"|");
2050: if ( !stat ) {
2051: NEXT(l) = d; d = l;
2052: d = nd_reconstruct(1,d);
2053: goto again;
2054: }
2055: }
2056: d = update_pairs(d,g,nh);
2057: g = update_base(g,nh);
2058: } else {
2059: if ( DP_Print ) { printf("*"); fflush(stdout); }
2060: }
2061: } else {
2062: if ( DP_Print ) { printf("."); fflush(stdout); }
2063: }
2064: FREENDP(l);
2065: }
2066: if ( nd_demand )
2067: for ( t = g; t; t = NEXT(t) )
1.159 noro 2068: BDY(t) = (pointer)ndv_load((long)BDY(t));
1.157 noro 2069: else
2070: for ( t = g; t; t = NEXT(t) )
1.159 noro 2071: BDY(t) = (pointer)nd_ps_trace[(long)BDY(t)];
1.157 noro 2072: if ( nd_nalg ) {
2073: print_eg("monic",&eg_monic);
2074: print_eg("invdalg",&eg_invdalg);
2075: print_eg("le",&eg_le);
2076: }
2077: if ( DP_Print ) { printf("nd_gb_trace done.\n"); fflush(stdout); }
2078: return g;
1.20 noro 2079: }
2080:
1.23 noro 2081: int ndv_compare(NDV *p1,NDV *p2)
2082: {
1.157 noro 2083: return DL_COMPARE(HDL(*p1),HDL(*p2));
1.23 noro 2084: }
2085:
2086: int ndv_compare_rev(NDV *p1,NDV *p2)
2087: {
1.157 noro 2088: return -DL_COMPARE(HDL(*p1),HDL(*p2));
1.23 noro 2089: }
2090:
1.61 noro 2091: NODE ndv_reduceall(int m,NODE f)
1.23 noro 2092: {
1.157 noro 2093: int i,n,stat;
2094: ND nf,g,head;
2095: NODE t,a0,a;
2096: union oNDC dn;
2097: NDV *w;
2098: Q q,num,den;
1.23 noro 2099:
1.157 noro 2100: n = length(f);
1.69 noro 2101: #if 0
1.157 noro 2102: w = (NDV *)ALLOCA(n*sizeof(NDV));
2103: for ( i = 0, t = f; i < n; i++, t = NEXT(t) ) w[i] = (NDV)BDY(t);
2104: qsort(w,n,sizeof(NDV),
2105: (int (*)(const void *,const void *))ndv_compare);
2106: for ( t = f, i = 0; t; i++, t = NEXT(t) ) BDY(t) = (pointer)w[i];
1.69 noro 2107: #endif
1.157 noro 2108: ndv_setup(m,0,f,0,1);
2109: for ( i = 0; i < n; ) {
2110: g = ndvtond(m,nd_ps[i]);
2111: g = nd_separate_head(g,&head);
2112: stat = nd_nf(m,head,g,nd_ps,1,0,&nf);
2113: if ( !stat )
2114: nd_reconstruct(0,0);
2115: else {
2116: if ( DP_Print ) { printf("."); fflush(stdout); }
2117: ndv_free(nd_ps[i]);
2118: nd_removecont(m,nf);
2119: nd_ps[i] = ndtondv(m,nf); nd_free(nf);
2120: nd_bound[i] = ndv_compute_bound(nd_ps[i]);
2121: i++;
2122: }
2123: }
2124: if ( DP_Print ) { printf("\n"); }
2125: for ( a0 = 0, i = 0; i < n; i++ ) {
2126: NEXTNODE(a0,a);
2127: BDY(a) = (pointer)nd_ps[i];
2128: }
2129: NEXT(a) = 0;
2130: return a0;
1.23 noro 2131: }
2132:
1.1 noro 2133: ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t)
2134: {
1.157 noro 2135: ND_pairs d1,nd,cur,head,prev,remove;
1.1 noro 2136:
1.157 noro 2137: if ( !g ) return d;
2138: d = crit_B(d,t);
2139: d1 = nd_newpairs(g,t);
2140: d1 = crit_M(d1);
2141: d1 = crit_F(d1);
2142: if ( do_weyl )
2143: head = d1;
2144: else {
2145: prev = 0; cur = head = d1;
2146: while ( cur ) {
2147: if ( crit_2( cur->i1,cur->i2 ) ) {
2148: remove = cur;
2149: if ( !prev ) head = cur = NEXT(cur);
2150: else cur = NEXT(prev) = NEXT(cur);
2151: FREENDP(remove);
2152: } else {
2153: prev = cur; cur = NEXT(cur);
2154: }
2155: }
2156: }
2157: if ( !d )
2158: return head;
2159: else {
2160: nd = d;
2161: while ( NEXT(nd) ) nd = NEXT(nd);
2162: NEXT(nd) = head;
2163: return d;
2164: }
1.1 noro 2165: }
2166:
1.157 noro 2167:
1.1 noro 2168: ND_pairs nd_newpairs( NODE g, int t )
2169: {
1.157 noro 2170: NODE h;
2171: UINT *dl;
2172: int ts,s;
2173: ND_pairs r,r0;
2174:
2175: dl = DL(nd_psh[t]);
2176: ts = SG(nd_psh[t]) - TD(dl);
2177: for ( r0 = 0, h = g; h; h = NEXT(h) ) {
1.159 noro 2178: if ( nd_module && (MPOS(DL(nd_psh[(long)BDY(h)])) != MPOS(dl)) )
1.157 noro 2179: continue;
2180: NEXTND_pairs(r0,r);
1.159 noro 2181: r->i1 = (long)BDY(h);
1.157 noro 2182: r->i2 = t;
2183: ndl_lcm(DL(nd_psh[r->i1]),dl,r->lcm);
2184: s = SG(nd_psh[r->i1])-TD(DL(nd_psh[r->i1]));
2185: SG(r) = MAX(s,ts) + TD(LCM(r));
2186: }
2187: if ( r0 ) NEXT(r) = 0;
2188: return r0;
1.1 noro 2189: }
2190:
1.157 noro 2191: /* kokokara */
2192:
1.1 noro 2193: ND_pairs crit_B( ND_pairs d, int s )
2194: {
1.157 noro 2195: ND_pairs cur,head,prev,remove;
2196: UINT *t,*tl,*lcm;
2197: int td,tdl;
2198:
2199: if ( !d ) return 0;
2200: t = DL(nd_psh[s]);
2201: prev = 0;
2202: head = cur = d;
2203: lcm = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
2204: while ( cur ) {
2205: tl = cur->lcm;
1.163 noro 2206: if ( ndl_reducible(tl,t) ) {
2207: ndl_lcm(DL(nd_psh[cur->i1]),t,lcm);
2208: if ( !ndl_equal(lcm,tl) ) {
2209: ndl_lcm(DL(nd_psh[cur->i2]),t,lcm);
2210: if (!ndl_equal(lcm,tl)) {
2211: remove = cur;
2212: if ( !prev ) {
2213: head = cur = NEXT(cur);
2214: } else {
2215: cur = NEXT(prev) = NEXT(cur);
2216: }
2217: FREENDP(remove);
2218: } else {
2219: prev = cur; cur = NEXT(cur);
2220: }
2221: } else {
2222: prev = cur; cur = NEXT(cur);
2223: }
1.157 noro 2224: } else {
2225: prev = cur; cur = NEXT(cur);
2226: }
2227: }
2228: return head;
1.1 noro 2229: }
2230:
2231: ND_pairs crit_M( ND_pairs d1 )
2232: {
1.157 noro 2233: ND_pairs e,d2,d3,dd,p;
2234: UINT *id,*jd;
1.1 noro 2235:
1.157 noro 2236: if ( !d1 ) return d1;
2237: for ( dd = 0, e = d1; e; e = d3 ) {
2238: if ( !(d2 = NEXT(e)) ) {
2239: NEXT(e) = dd;
2240: return e;
2241: }
2242: id = LCM(e);
2243: for ( d3 = 0; d2; d2 = p ) {
2244: p = NEXT(d2);
2245: jd = LCM(d2);
2246: if ( ndl_equal(jd,id) )
2247: ;
2248: else if ( TD(jd) > TD(id) )
2249: if ( ndl_reducible(jd,id) ) continue;
2250: else ;
2251: else if ( ndl_reducible(id,jd) ) goto delit;
2252: NEXT(d2) = d3;
2253: d3 = d2;
2254: }
2255: NEXT(e) = dd;
2256: dd = e;
2257: continue;
2258: /**/
2259: delit: NEXT(d2) = d3;
2260: d3 = d2;
2261: for ( ; p; p = d2 ) {
2262: d2 = NEXT(p);
2263: NEXT(p) = d3;
2264: d3 = p;
2265: }
2266: FREENDP(e);
2267: }
2268: return dd;
1.1 noro 2269: }
2270:
2271: ND_pairs crit_F( ND_pairs d1 )
2272: {
1.157 noro 2273: ND_pairs rest, head,remove;
2274: ND_pairs last, p, r, w;
2275: int s;
2276:
2277: if ( !d1 ) return d1;
2278: for ( head = last = 0, p = d1; NEXT(p); ) {
2279: r = w = equivalent_pairs(p,&rest);
2280: s = SG(r);
2281: w = NEXT(w);
2282: while ( w ) {
2283: if ( crit_2(w->i1,w->i2) ) {
2284: r = w;
2285: w = NEXT(w);
2286: while ( w ) {
2287: remove = w;
2288: w = NEXT(w);
2289: FREENDP(remove);
2290: }
2291: break;
2292: } else if ( SG(w) < s ) {
2293: FREENDP(r);
2294: r = w;
2295: s = SG(r);
2296: w = NEXT(w);
2297: } else {
2298: remove = w;
2299: w = NEXT(w);
2300: FREENDP(remove);
2301: }
2302: }
2303: if ( last ) NEXT(last) = r;
2304: else head = r;
2305: NEXT(last = r) = 0;
2306: p = rest;
2307: if ( !p ) return head;
2308: }
2309: if ( !last ) return p;
2310: NEXT(last) = p;
2311: return head;
1.1 noro 2312: }
2313:
2314: int crit_2( int dp1, int dp2 )
2315: {
1.157 noro 2316: return ndl_disjoint(DL(nd_psh[dp1]),DL(nd_psh[dp2]));
1.1 noro 2317: }
2318:
1.40 noro 2319: ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest )
1.1 noro 2320: {
1.157 noro 2321: ND_pairs w,p,r,s;
2322: UINT *d;
1.1 noro 2323:
1.157 noro 2324: w = d1;
2325: d = LCM(w);
2326: s = NEXT(w);
2327: NEXT(w) = 0;
2328: for ( r = 0; s; s = p ) {
2329: p = NEXT(s);
2330: if ( ndl_equal(d,LCM(s)) ) {
2331: NEXT(s) = w; w = s;
2332: } else {
2333: NEXT(s) = r; r = s;
2334: }
2335: }
2336: *prest = r;
2337: return w;
1.1 noro 2338: }
2339:
2340: NODE update_base(NODE nd,int ndp)
2341: {
1.157 noro 2342: UINT *dl, *dln;
2343: NODE last, p, head;
1.1 noro 2344:
1.157 noro 2345: dl = DL(nd_psh[ndp]);
2346: for ( head = last = 0, p = nd; p; ) {
1.159 noro 2347: dln = DL(nd_psh[(long)BDY(p)]);
1.157 noro 2348: if ( ndl_reducible( dln, dl ) ) {
2349: p = NEXT(p);
2350: if ( last ) NEXT(last) = p;
2351: } else {
2352: if ( !last ) head = p;
2353: p = NEXT(last = p);
2354: }
2355: }
2356: head = append_one(head,ndp);
2357: return head;
1.1 noro 2358: }
2359:
2360: ND_pairs nd_minp( ND_pairs d, ND_pairs *prest )
2361: {
1.157 noro 2362: ND_pairs m,ml,p,l;
2363: UINT *lcm;
2364: int s,td,len,tlen,c,c1;
2365:
2366: if ( !(p = NEXT(m = d)) ) {
2367: *prest = p;
2368: NEXT(m) = 0;
2369: return m;
2370: }
2371: s = SG(m);
2372: if ( !NoSugar ) {
2373: for ( ml = 0, l = m; p; p = NEXT(l = p) )
2374: if ( (SG(p) < s)
2375: || ((SG(p) == s) && (DL_COMPARE(LCM(p),LCM(m)) < 0)) ) {
2376: ml = l; m = p; s = SG(m);
2377: }
2378: } else {
2379: for ( ml = 0, l = m; p; p = NEXT(l = p) )
2380: if ( DL_COMPARE(LCM(p),LCM(m)) < 0 ) {
2381: ml = l; m = p; s = SG(m);
2382: }
2383: }
2384: if ( !ml ) *prest = NEXT(m);
2385: else {
2386: NEXT(ml) = NEXT(m);
2387: *prest = d;
2388: }
2389: NEXT(m) = 0;
2390: return m;
1.1 noro 2391: }
2392:
1.63 noro 2393: ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest )
2394: {
1.157 noro 2395: int msugar,i;
2396: ND_pairs t,dm0,dm,dr0,dr;
1.63 noro 2397:
1.157 noro 2398: for ( msugar = SG(d), t = NEXT(d); t; t = NEXT(t) )
2399: if ( SG(t) < msugar ) msugar = SG(t);
2400: dm0 = 0; dr0 = 0;
2401: for ( i = 0, t = d; t; t = NEXT(t) )
2402: if ( i < nd_f4_nsp && SG(t) == msugar ) {
2403: if ( dm0 ) NEXT(dm) = t;
2404: else dm0 = t;
2405: dm = t;
2406: i++;
2407: } else {
2408: if ( dr0 ) NEXT(dr) = t;
2409: else dr0 = t;
2410: dr = t;
2411: }
2412: NEXT(dm) = 0;
2413: if ( dr0 ) NEXT(dr) = 0;
2414: *prest = dr0;
2415: return dm0;
1.63 noro 2416: }
2417:
1.77 noro 2418: int ndv_newps(int m,NDV a,NDV aq)
1.1 noro 2419: {
1.157 noro 2420: int len;
2421: RHist r;
2422: NDV b;
2423:
2424: if ( nd_psn == nd_pslen ) {
2425: nd_pslen *= 2;
2426: nd_ps = (NDV *)REALLOC((char *)nd_ps,nd_pslen*sizeof(NDV));
2427: nd_ps_trace = (NDV *)REALLOC((char *)nd_ps_trace,nd_pslen*sizeof(NDV));
2428: nd_psh = (RHist *)REALLOC((char *)nd_psh,nd_pslen*sizeof(RHist));
2429: nd_bound = (UINT **)
2430: REALLOC((char *)nd_bound,nd_pslen*sizeof(UINT *));
2431: }
2432: NEWRHist(r); nd_psh[nd_psn] = r;
2433: nd_ps[nd_psn] = a;
2434: if ( aq ) {
2435: nd_ps_trace[nd_psn] = aq;
2436: register_hcf(aq);
2437: nd_bound[nd_psn] = ndv_compute_bound(aq);
2438: SG(r) = SG(aq); ndl_copy(HDL(aq),DL(r));
2439: } else {
2440: if ( !m ) register_hcf(a);
2441: nd_bound[nd_psn] = ndv_compute_bound(a);
2442: SG(r) = SG(a); ndl_copy(HDL(a),DL(r));
2443: }
2444: if ( nd_demand ) {
2445: if ( aq ) {
2446: ndv_save(nd_ps_trace[nd_psn],nd_psn);
2447: nd_ps_trace[nd_psn] = 0;
2448: } else {
2449: ndv_save(nd_ps[nd_psn],nd_psn);
2450: nd_ps[nd_psn] = 0;
2451: }
2452: }
2453: return nd_psn++;
1.1 noro 2454: }
2455:
1.151 noro 2456: void ndv_setup(int mod,int trace,NODE f,int dont_sort,int dont_removecont)
1.1 noro 2457: {
1.157 noro 2458: int i,j,td,len,max;
2459: NODE s,s0,f0;
2460: UINT *d;
2461: RHist r;
2462: NDV *w;
2463: NDV a,am;
2464:
2465: nd_found = 0; nd_notfirst = 0; nd_create = 0;
2466:
2467: for ( nd_psn = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) nd_psn++;
2468: w = (NDV *)ALLOCA(nd_psn*sizeof(NDV));
2469: for ( i = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) w[i++] = BDY(s);
2470: if ( !dont_sort ) {
2471: /* XXX heuristic */
2472: if ( !nd_ord->id && (nd_ord->ord.simple<2) )
2473: qsort(w,nd_psn,sizeof(NDV),
2474: (int (*)(const void *,const void *))ndv_compare_rev);
2475: else
2476: qsort(w,nd_psn,sizeof(NDV),
2477: (int (*)(const void *,const void *))ndv_compare);
2478: }
2479: nd_pslen = 2*nd_psn;
2480: nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV));
2481: nd_ps_trace = (NDV *)MALLOC(nd_pslen*sizeof(NDV));
2482: nd_psh = (RHist *)MALLOC(nd_pslen*sizeof(RHist));
2483: nd_bound = (UINT **)MALLOC(nd_pslen*sizeof(UINT *));
2484: nd_hcf = 0;
2485:
2486: if ( trace && nd_vc )
2487: makesubst(nd_vc,&nd_subst);
2488: else
2489: nd_subst = 0;
2490:
2491: if ( !nd_red )
2492: nd_red = (RHist *)MALLOC(REDTAB_LEN*sizeof(RHist));
2493: for ( i = 0; i < REDTAB_LEN; i++ ) nd_red[i] = 0;
2494: for ( i = 0; i < nd_psn; i++ ) {
2495: if ( trace ) {
2496: a = nd_ps_trace[i] = ndv_dup(0,w[i]);
2497: if ( !dont_removecont) ndv_removecont(0,a);
2498: register_hcf(a);
2499: am = nd_ps[i] = ndv_dup(mod,a);
2500: ndv_mod(mod,am);
2501: ndv_removecont(mod,am);
2502: } else {
2503: a = nd_ps[i] = ndv_dup(mod,w[i]);
2504: if ( mod || !dont_removecont ) ndv_removecont(mod,a);
2505: if ( !mod ) register_hcf(a);
2506: }
2507: NEWRHist(r); SG(r) = HTD(a); ndl_copy(HDL(a),DL(r));
2508: nd_bound[i] = ndv_compute_bound(a);
2509: nd_psh[i] = r;
2510: if ( nd_demand ) {
2511: if ( trace ) {
2512: ndv_save(nd_ps_trace[i],i);
2513: nd_ps_trace[i] = 0;
2514: } else {
2515: ndv_save(nd_ps[i],i);
2516: nd_ps[i] = 0;
2517: }
2518: }
2519: }
1.20 noro 2520: }
2521:
1.119 noro 2522: struct order_spec *append_block(struct order_spec *spec,
2523: int nv,int nalg,int ord);
2524:
1.121 noro 2525: extern VECT current_dl_weight_vector_obj;
2526: static VECT prev_weight_vector_obj;
2527:
1.120 noro 2528: void preprocess_algcoef(VL vv,VL av,struct order_spec *ord,LIST f,
1.157 noro 2529: struct order_spec **ord1p,LIST *f1p,NODE *alistp)
1.120 noro 2530: {
1.157 noro 2531: NODE alist,t,s,r0,r,arg;
2532: VL tv;
2533: P poly;
2534: DP d;
2535: Alg alpha,dp;
2536: DAlg inv,da,hc;
2537: MP m;
2538: int i,nvar,nalg,n;
2539: NumberField nf;
2540: LIST f1,f2;
2541: struct order_spec *current_spec;
2542: VECT obj,obj0;
2543: Obj tmp;
2544:
2545: for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++);
2546: for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++);
2547:
2548: for ( alist = 0, tv = av; tv; tv = NEXT(tv) ) {
2549: NEXTNODE(alist,t); MKV(tv->v,poly);
2550: MKAlg(poly,alpha); BDY(t) = (pointer)alpha;
2551: tv->v = tv->v->priv;
2552: }
2553: NEXT(t) = 0;
2554:
2555: /* simplification, makeing polynomials monic */
2556: setfield_dalg(alist);
2557: obj_algtodalg(f,&f1);
2558: for ( t = BDY(f); t; t = NEXT(t) ) {
2559: initd(ord); ptod(vv,vv,(P)BDY(t),&d);
2560: hc = (DAlg)BDY(d)->c;
2561: if ( NID(hc) == N_DA ) {
2562: invdalg(hc,&inv);
2563: for ( m = BDY(d); m; m = NEXT(m) ) {
2564: muldalg(inv,(DAlg)m->c,&da); m->c = (P)da;
2565: }
2566: }
2567: initd(ord); dtop(vv,vv,d,&poly); BDY(f) = (pointer)poly;
2568: }
2569: obj_dalgtoalg(f1,&f);
2570:
2571: /* append alg vars to the var list */
2572: for ( tv = vv; NEXT(tv); tv = NEXT(tv) );
2573: NEXT(tv) = av;
2574:
2575: /* append a block to ord */
2576: *ord1p = append_block(ord,nvar,nalg,2);
2577:
2578: /* create generator list */
2579: nf = get_numberfield();
2580: for ( i = nalg-1, t = BDY(f); i >= 0; i-- ) {
2581: MKAlg(nf->defpoly[i],dp);
2582: MKNODE(s,dp,t); t = s;
2583: }
2584: MKLIST(f1,t);
2585: *alistp = alist;
2586: algobjtorat(f1,f1p);
2587:
2588: /* creating a new weight vector */
2589: prev_weight_vector_obj = obj0 = current_dl_weight_vector_obj;
2590: n = nvar+nalg+1;
2591: MKVECT(obj,n);
2592: if ( obj0 && obj0->len == nvar )
2593: for ( i = 0; i < nvar; i++ ) BDY(obj)[i] = BDY(obj0)[i];
2594: else
2595: for ( i = 0; i < nvar; i++ ) BDY(obj)[i] = (pointer)ONE;
2596: for ( i = 0; i < nalg; i++ ) BDY(obj)[i+nvar] = 0;
2597: BDY(obj)[n-1] = (pointer)ONE;
2598: arg = mknode(1,obj);
2599: Pdp_set_weight(arg,&tmp);
1.121 noro 2600: }
2601:
2602: NODE postprocess_algcoef(VL av,NODE alist,NODE r)
2603: {
1.157 noro 2604: NODE s,t,u0,u;
2605: P p;
2606: VL tv;
2607: Obj obj,tmp;
2608: NODE arg;
2609:
2610: u0 = 0;
2611: for ( t = r; t; t = NEXT(t) ) {
2612: p = (P)BDY(t);
2613: for ( tv = av, s = alist; tv; tv = NEXT(tv), s = NEXT(s) ) {
2614: substr(CO,0,(Obj)p,tv->v,(Obj)BDY(s),&obj); p = (P)obj;
2615: }
2616: if ( OID(p) == O_P || (OID(p) == O_N && NID((Num)p) != N_A) ) {
2617: NEXTNODE(u0,u);
2618: BDY(u) = (pointer)p;
2619: }
2620: }
2621: arg = mknode(1,prev_weight_vector_obj);
2622: Pdp_set_weight(arg,&tmp);
1.121 noro 2623:
1.157 noro 2624: return u0;
1.120 noro 2625: }
2626:
1.63 noro 2627: void nd_gr(LIST f,LIST v,int m,int f4,struct order_spec *ord,LIST *rp)
1.1 noro 2628: {
1.157 noro 2629: VL tv,fv,vv,vc,av;
2630: NODE fd,fd0,r,r0,t,x,s,xx,alist;
2631: int e,max,nvar,i;
2632: NDV b;
2633: int ishomo,nalg,mrank,trank;
2634: Alg alpha,dp;
2635: P p,zp;
2636: Q dmy;
2637: LIST f1,f2,zpl;
2638: Obj obj;
2639: NumberField nf;
2640: struct order_spec *ord1;
1.1 noro 2641:
1.163 noro 2642: nd_module = 0;
1.157 noro 2643: if ( !m && Demand ) nd_demand = 1;
2644: else nd_demand = 0;
1.78 noro 2645:
1.157 noro 2646: if ( DP_Multiple )
2647: nd_scale = ((double)DP_Multiple)/(double)(Denominator?Denominator:1);
1.103 noro 2648: #if 0
1.157 noro 2649: ndv_alloc = 0;
1.103 noro 2650: #endif
1.157 noro 2651: get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
2652: for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
2653: switch ( ord->id ) {
2654: case 1:
2655: if ( ord->nv != nvar )
2656: error("nd_{gr,f4} : invalid order specification");
2657: break;
2658: default:
2659: break;
2660: }
2661: nd_nalg = 0;
2662: av = 0;
2663: if ( !m ) {
2664: get_algtree((Obj)f,&av);
2665: for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ );
2666: nd_ntrans = nvar;
2667: nd_nalg = nalg;
2668: /* #i -> t#i */
2669: if ( nalg ) {
2670: preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist);
2671: ord = ord1;
2672: f = f1;
2673: }
2674: nvar += nalg;
2675: }
2676: nd_init_ord(ord);
2677: mrank = 0;
2678: for ( t = BDY(f), max = 0; t; t = NEXT(t) )
2679: for ( tv = vv; tv; tv = NEXT(tv) ) {
2680: if ( nd_module ) {
2681: s = BDY((LIST)BDY(t));
2682: trank = length(s);
2683: mrank = MAX(mrank,trank);
2684: for ( ; s; s = NEXT(s) ) {
2685: e = getdeg(tv->v,(P)BDY(s));
2686: max = MAX(e,max);
2687: }
2688: } else {
2689: e = getdeg(tv->v,(P)BDY(t));
2690: max = MAX(e,max);
2691: }
2692: }
2693: nd_setup_parameters(nvar,max);
2694: ishomo = 1;
2695: for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
2696: if ( nd_module ) {
2697: pltozpl((LIST)BDY(t),&dmy,&zpl);
2698: b = (pointer)pltondv(CO,vv,zpl);
2699: } else {
2700: ptozp((P)BDY(t),1,&dmy,&zp);
2701: b = (pointer)ptondv(CO,vv,zp);
2702: }
2703: if ( ishomo )
2704: ishomo = ishomo && ndv_ishomo(b);
2705: if ( m ) ndv_mod(m,b);
2706: if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; }
2707: }
2708: if ( fd0 ) NEXT(fd) = 0;
2709: ndv_setup(m,0,fd0,0,0);
2710: x = f4?nd_f4(m):nd_gb(m,ishomo,0);
2711: nd_demand = 0;
2712: x = ndv_reducebase(x);
2713: x = ndv_reduceall(m,x);
2714: for ( r0 = 0, t = x; t; t = NEXT(t) ) {
2715: NEXTNODE(r0,r);
2716: if ( nd_module ) BDY(r) = ndvtopl(m,CO,vv,BDY(t),mrank);
2717: else BDY(r) = ndvtop(m,CO,vv,BDY(t));
2718: }
2719: if ( r0 ) NEXT(r) = 0;
2720: if ( nalg )
2721: r0 = postprocess_algcoef(av,alist,r0);
2722: MKLIST(*rp,r0);
1.103 noro 2723: #if 0
1.157 noro 2724: fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc);
1.103 noro 2725: #endif
1.127 noro 2726: }
2727:
2728: void nd_gr_postproc(LIST f,LIST v,int m,struct order_spec *ord,int do_check,LIST *rp)
2729: {
1.157 noro 2730: VL tv,fv,vv,vc,av;
2731: NODE fd,fd0,r,r0,t,x,s,xx,alist;
2732: int e,max,nvar,i;
2733: NDV b;
2734: int ishomo,nalg;
2735: Alg alpha,dp;
2736: P p,zp;
2737: Q dmy;
2738: LIST f1,f2;
2739: Obj obj;
2740: NumberField nf;
2741: struct order_spec *ord1;
2742:
2743: get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
2744: for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
2745: switch ( ord->id ) {
2746: case 1:
2747: if ( ord->nv != nvar )
2748: error("nd_check : invalid order specification");
2749: break;
2750: default:
2751: break;
2752: }
2753: nd_nalg = 0;
2754: av = 0;
2755: if ( !m ) {
2756: get_algtree((Obj)f,&av);
2757: for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ );
2758: nd_ntrans = nvar;
2759: nd_nalg = nalg;
2760: /* #i -> t#i */
2761: if ( nalg ) {
2762: preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist);
2763: ord = ord1;
2764: f = f1;
2765: }
2766: nvar += nalg;
2767: }
2768: nd_init_ord(ord);
2769: for ( t = BDY(f), max = 0; t; t = NEXT(t) )
2770: for ( tv = vv; tv; tv = NEXT(tv) ) {
2771: e = getdeg(tv->v,(P)BDY(t));
2772: max = MAX(e,max);
2773: }
2774: nd_setup_parameters(nvar,max);
2775: ishomo = 1;
2776: for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
2777: ptozp((P)BDY(t),1,&dmy,&zp);
2778: b = (pointer)ptondv(CO,vv,zp);
2779: if ( ishomo )
2780: ishomo = ishomo && ndv_ishomo(b);
2781: if ( m ) ndv_mod(m,b);
2782: if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; }
2783: }
2784: if ( fd0 ) NEXT(fd) = 0;
2785: ndv_setup(m,0,fd0,0,1);
2786: for ( x = 0, i = 0; i < nd_psn; i++ )
2787: x = update_base(x,i);
2788: if ( do_check ) {
2789: x = nd_gb(m,ishomo,1);
2790: if ( !x ) {
2791: *rp = 0;
2792: return;
2793: }
2794: } else {
2795: for ( t = x; t; t = NEXT(t) )
1.159 noro 2796: BDY(t) = (pointer)nd_ps[(long)BDY(t)];
1.157 noro 2797: }
2798: x = ndv_reducebase(x);
2799: x = ndv_reduceall(m,x);
2800: for ( r0 = 0, t = x; t; t = NEXT(t) ) {
2801: NEXTNODE(r0,r);
2802: BDY(r) = ndvtop(m,CO,vv,BDY(t));
2803: }
2804: if ( r0 ) NEXT(r) = 0;
2805: if ( nalg )
2806: r0 = postprocess_algcoef(av,alist,r0);
2807: MKLIST(*rp,r0);
1.20 noro 2808: }
2809:
1.133 noro 2810: void nd_gr_trace(LIST f,LIST v,int trace,int homo,int f4,struct order_spec *ord,LIST *rp)
1.20 noro 2811: {
1.157 noro 2812: VL tv,fv,vv,vc,av;
2813: NODE fd,fd0,in0,in,r,r0,t,s,cand,alist;
2814: int m,nocheck,nvar,mindex,e,max;
2815: NDV c;
2816: NMV a;
2817: P p,zp;
2818: Q dmy;
2819: EPOS oepos;
1.164 ! noro 2820: int obpe,oadv,wmax,i,len,cbpe,ishomo,nalg,mrank,trank,ompos;
1.157 noro 2821: Alg alpha,dp;
2822: P poly;
1.158 noro 2823: LIST f1,f2,zpl;
1.157 noro 2824: Obj obj;
2825: NumberField nf;
2826: struct order_spec *ord1;
2827: struct oEGT eg_check,eg0,eg1;
2828:
1.163 noro 2829: nd_module = 0;
1.157 noro 2830: if ( DP_Multiple )
2831: nd_scale = ((double)DP_Multiple)/(double)(Denominator?Denominator:1);
2832:
2833: get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
2834: for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
2835: switch ( ord->id ) {
2836: case 1:
2837: if ( ord->nv != nvar )
2838: error("nd_gr_trace : invalid order specification");
2839: break;
2840: default:
2841: break;
2842: }
2843:
2844: get_algtree((Obj)f,&av);
2845: for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ );
2846: nd_ntrans = nvar;
2847: nd_nalg = nalg;
2848: /* #i -> t#i */
2849: if ( nalg ) {
2850: preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist);
2851: ord = ord1;
2852: f = f1;
2853: }
2854: nvar += nalg;
2855:
2856: nocheck = 0;
2857: mindex = 0;
2858:
2859: if ( Demand ) nd_demand = 1;
2860: else nd_demand = 0;
2861:
2862: /* setup modulus */
2863: if ( trace < 0 ) {
2864: trace = -trace;
2865: nocheck = 1;
2866: }
2867: m = trace > 1 ? trace : get_lprime(mindex);
1.158 noro 2868: nd_init_ord(ord);
2869: mrank = 0;
1.157 noro 2870: for ( t = BDY(f), max = 0; t; t = NEXT(t) )
2871: for ( tv = vv; tv; tv = NEXT(tv) ) {
1.158 noro 2872: if ( nd_module ) {
2873: s = BDY((LIST)BDY(t));
2874: trank = length(s);
2875: mrank = MAX(mrank,trank);
2876: for ( ; s; s = NEXT(s) ) {
2877: e = getdeg(tv->v,(P)BDY(s));
2878: max = MAX(e,max);
2879: }
2880: } else {
2881: e = getdeg(tv->v,(P)BDY(t));
2882: max = MAX(e,max);
2883: }
1.157 noro 2884: }
2885: nd_setup_parameters(nvar,max);
1.164 ! noro 2886: obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; ompos = nd_mpos;
1.157 noro 2887: ishomo = 1;
2888: for ( in0 = 0, fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
1.158 noro 2889: if ( nd_module ) {
2890: pltozpl((LIST)BDY(t),&dmy,&zpl);
2891: c = (pointer)pltondv(CO,vv,zpl);
2892: } else {
2893: ptozp((P)BDY(t),1,&dmy,&zp);
2894: c = (pointer)ptondv(CO,vv,zp);
2895: }
1.157 noro 2896: if ( ishomo )
2897: ishomo = ishomo && ndv_ishomo(c);
2898: if ( c ) {
2899: NEXTNODE(in0,in); BDY(in) = (pointer)c;
2900: NEXTNODE(fd0,fd); BDY(fd) = (pointer)ndv_dup(0,c);
2901: }
2902: }
2903: if ( in0 ) NEXT(in) = 0;
2904: if ( fd0 ) NEXT(fd) = 0;
2905: if ( !ishomo && homo ) {
2906: for ( t = in0, wmax = max; t; t = NEXT(t) ) {
2907: c = (NDV)BDY(t); len = LEN(c);
2908: for ( a = BDY(c), i = 0; i < len; i++, NMV_ADV(a) )
2909: wmax = MAX(TD(DL(a)),wmax);
2910: }
2911: homogenize_order(ord,nvar,&ord1);
2912: nd_init_ord(ord1);
2913: nd_setup_parameters(nvar+1,wmax);
2914: for ( t = fd0; t; t = NEXT(t) )
1.164 ! noro 2915: ndv_homogenize((NDV)BDY(t),obpe,oadv,oepos,ompos);
1.157 noro 2916: }
2917: while ( 1 ) {
2918: if ( Demand )
2919: nd_demand = 1;
2920: ndv_setup(m,1,fd0,0,0);
2921: cand = f4?nd_f4_trace(m):nd_gb_trace(m,ishomo || homo);
2922: if ( !cand ) {
2923: /* failure */
2924: if ( trace > 1 ) { *rp = 0; return; }
2925: else m = get_lprime(++mindex);
2926: continue;
2927: }
2928: if ( !ishomo && homo ) {
2929: /* dehomogenization */
2930: for ( t = cand; t; t = NEXT(t) ) ndv_dehomogenize((NDV)BDY(t),ord);
2931: nd_init_ord(ord);
2932: nd_setup_parameters(nvar,0);
2933: }
2934: nd_demand = 0;
2935: cand = ndv_reducebase(cand);
2936: cand = ndv_reduceall(0,cand);
2937: cbpe = nd_bpe;
2938: if ( nocheck )
2939: break;
2940: get_eg(&eg0);
2941: if ( ndv_check_candidate(in0,obpe,oadv,oepos,cand) )
2942: /* success */
2943: break;
2944: else if ( trace > 1 ) {
2945: /* failure */
2946: *rp = 0; return;
2947: } else {
2948: /* try the next modulus */
2949: m = get_lprime(++mindex);
2950: /* reset the parameters */
2951: if ( !ishomo && homo ) {
2952: nd_init_ord(ord1);
2953: nd_setup_parameters(nvar+1,wmax);
2954: } else {
2955: nd_init_ord(ord);
2956: nd_setup_parameters(nvar,max);
2957: }
2958: }
2959: }
2960: get_eg(&eg1); init_eg(&eg_check); add_eg(&eg_check,&eg0,&eg1);
2961: if ( DP_Print )
2962: fprintf(asir_out,"check=%fsec\n",eg_check.exectime+eg_check.gctime);
2963: /* dp->p */
2964: nd_bpe = cbpe;
2965: nd_setup_parameters(nd_nvar,0);
1.158 noro 2966: for ( r = cand; r; r = NEXT(r) ) {
2967: if ( nd_module ) BDY(r) = ndvtopl(0,CO,vv,BDY(r),mrank);
2968: else BDY(r) = (pointer)ndvtop(0,CO,vv,BDY(r));
2969: }
1.157 noro 2970: if ( nalg )
2971: cand = postprocess_algcoef(av,alist,cand);
2972: MKLIST(*rp,cand);
2973: }
1.52 noro 2974:
1.157 noro 2975: /* XXX : module element is not considered */
1.1 noro 2976:
1.61 noro 2977: void dltondl(int n,DL dl,UINT *r)
1.1 noro 2978: {
1.157 noro 2979: UINT *d;
2980: int i,j,l,s,ord_l;
2981: struct order_pair *op;
2982:
2983: d = dl->d;
2984: for ( i = 0; i < nd_wpd; i++ ) r[i] = 0;
2985: if ( nd_blockmask ) {
2986: l = nd_blockmask->n;
2987: op = nd_blockmask->order_pair;
2988: for ( j = 0, s = 0; j < l; j++ ) {
2989: ord_l = op[j].length;
2990: for ( i = 0; i < ord_l; i++, s++ ) PUT_EXP(r,s,d[s]);
2991: }
2992: TD(r) = ndl_weight(r);
2993: ndl_weight_mask(r);
2994: } else {
2995: for ( i = 0; i < n; i++ ) PUT_EXP(r,i,d[i]);
2996: TD(r) = ndl_weight(r);
2997: }
1.1 noro 2998: }
2999:
1.61 noro 3000: DL ndltodl(int n,UINT *ndl)
1.1 noro 3001: {
1.157 noro 3002: DL dl;
3003: int *d;
3004: int i,j,l,s,ord_l;
3005: struct order_pair *op;
3006:
3007: NEWDL(dl,n);
3008: dl->td = TD(ndl);
3009: d = dl->d;
3010: if ( nd_blockmask ) {
3011: l = nd_blockmask->n;
3012: op = nd_blockmask->order_pair;
3013: for ( j = 0, s = 0; j < l; j++ ) {
3014: ord_l = op[j].length;
3015: for ( i = 0; i < ord_l; i++, s++ ) d[s] = GET_EXP(ndl,s);
3016: }
3017: } else {
3018: for ( i = 0; i < n; i++ ) d[i] = GET_EXP(ndl,i);
3019: }
3020: return dl;
1.1 noro 3021: }
3022:
1.61 noro 3023: void ndl_print(UINT *dl)
1.1 noro 3024: {
1.157 noro 3025: int n;
3026: int i,j,l,ord_l,s,s0;
3027: struct order_pair *op;
3028:
3029: n = nd_nvar;
3030: printf("<<");
3031: if ( nd_blockmask ) {
3032: l = nd_blockmask->n;
3033: op = nd_blockmask->order_pair;
3034: for ( j = 0, s = s0 = 0; j < l; j++ ) {
3035: ord_l = op[j].length;
3036: for ( i = 0; i < ord_l; i++, s++ )
3037: printf(s==n-1?"%d":"%d,",GET_EXP(dl,s));
3038: }
3039: } else {
3040: for ( i = 0; i < n; i++ ) printf(i==n-1?"%d":"%d,",GET_EXP(dl,i));
3041: }
3042: printf(">>");
3043: if ( MPOS(dl) )
3044: printf("*e%d",MPOS(dl));
1.1 noro 3045: }
3046:
3047: void nd_print(ND p)
3048: {
1.157 noro 3049: NM m;
1.1 noro 3050:
1.157 noro 3051: if ( !p )
3052: printf("0\n");
3053: else {
3054: for ( m = BDY(p); m; m = NEXT(m) ) {
3055: if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m)));
3056: else printf("+%d*",CM(m));
3057: ndl_print(DL(m));
3058: }
3059: printf("\n");
3060: }
1.1 noro 3061: }
3062:
1.113 noro 3063: void nd_print_q(ND p)
1.16 noro 3064: {
1.157 noro 3065: NM m;
1.16 noro 3066:
1.157 noro 3067: if ( !p )
3068: printf("0\n");
3069: else {
3070: for ( m = BDY(p); m; m = NEXT(m) ) {
3071: printf("+");
3072: printexpr(CO,(Obj)CQ(m));
3073: printf("*");
3074: ndl_print(DL(m));
3075: }
3076: printf("\n");
3077: }
1.16 noro 3078: }
3079:
1.1 noro 3080: void ndp_print(ND_pairs d)
3081: {
1.157 noro 3082: ND_pairs t;
1.1 noro 3083:
1.157 noro 3084: for ( t = d; t; t = NEXT(t) ) printf("%d,%d ",t->i1,t->i2);
3085: printf("\n");
1.1 noro 3086: }
3087:
1.20 noro 3088: void nd_removecont(int mod,ND p)
1.16 noro 3089: {
1.157 noro 3090: int i,n;
3091: Q *w;
3092: Q dvr,t;
3093: NM m;
3094: struct oVECT v;
3095: N q,r;
3096:
3097: if ( mod == -1 ) nd_mul_c(mod,p,_invsf(HCM(p)));
3098: else if ( mod ) nd_mul_c(mod,p,invm(HCM(p),mod));
3099: else {
3100: for ( m = BDY(p), n = 0; m; m = NEXT(m), n++ );
3101: w = (Q *)ALLOCA(n*sizeof(Q));
3102: v.len = n;
3103: v.body = (pointer *)w;
3104: for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) w[i] = CQ(m);
3105: removecont_array((P *)w,n,1);
3106: for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) CQ(m) = w[i];
3107: }
1.16 noro 3108: }
3109:
1.21 noro 3110: void nd_removecont2(ND p1,ND p2)
3111: {
1.157 noro 3112: int i,n1,n2,n;
3113: Q *w;
3114: Q dvr,t;
3115: NM m;
3116: struct oVECT v;
3117: N q,r;
3118:
3119: n1 = nd_length(p1);
3120: n2 = nd_length(p2);
3121: n = n1+n2;
3122: w = (Q *)ALLOCA(n*sizeof(Q));
3123: v.len = n;
3124: v.body = (pointer *)w;
3125: i = 0;
3126: if ( p1 )
3127: for ( m = BDY(p1); i < n1; m = NEXT(m), i++ ) w[i] = CQ(m);
3128: if ( p2 )
3129: for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) w[i] = CQ(m);
3130: removecont_array((P *)w,n,1);
3131: i = 0;
3132: if ( p1 )
3133: for ( m = BDY(p1); i < n1; m = NEXT(m), i++ ) CQ(m) = w[i];
3134: if ( p2 )
3135: for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) CQ(m) = w[i];
1.21 noro 3136: }
3137:
1.20 noro 3138: void ndv_removecont(int mod,NDV p)
1.16 noro 3139: {
1.157 noro 3140: int i,len,all_p;
3141: Q *c;
3142: P *w;
3143: Q dvr,t;
3144: P g,cont,tp;
3145: NMV m;
3146:
3147: if ( mod == -1 )
3148: ndv_mul_c(mod,p,_invsf(HCM(p)));
3149: else if ( mod )
3150: ndv_mul_c(mod,p,invm(HCM(p),mod));
3151: else {
3152: len = p->len;
3153: w = (P *)ALLOCA(len*sizeof(P));
3154: c = (Q *)ALLOCA(len*sizeof(Q));
3155: for ( m = BDY(p), all_p = 1, i = 0; i < len; NMV_ADV(m), i++ ) {
3156: ptozp(CP(m),1,&c[i],&w[i]);
3157: all_p = all_p && !NUM(w[i]);
3158: }
3159: if ( all_p ) {
3160: qltozl(c,len,&dvr); nd_heu_nezgcdnpz(nd_vc,w,len,1,&g);
3161: mulp(nd_vc,(P)dvr,g,&cont);
3162: for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) {
3163: divsp(nd_vc,CP(m),cont,&tp); CP(m) = tp;
3164: }
3165: } else {
3166: sortbynm((Q *)c,len);
3167: qltozl((Q *)c,len,&dvr);
3168: for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) {
3169: divsp(nd_vc,CP(m),(P)dvr,&tp); CP(m) = tp;
3170: }
3171: }
3172: }
1.21 noro 3173: }
3174:
1.157 noro 3175: /* koko */
3176:
1.164 ! noro 3177: void ndv_homogenize(NDV p,int obpe,int oadv,EPOS oepos,int ompos)
1.61 noro 3178: {
1.157 noro 3179: int len,i,max;
3180: NMV m,mr0,mr,t;
1.61 noro 3181:
1.157 noro 3182: len = p->len;
3183: for ( m = BDY(p), i = 0, max = 0; i < len; NMV_OADV(m), i++ )
3184: max = MAX(max,TD(DL(m)));
3185: mr0 = nmv_adv>oadv?(NMV)REALLOC(BDY(p),len*nmv_adv):BDY(p);
3186: m = (NMV)((char *)mr0+(len-1)*oadv);
3187: mr = (NMV)((char *)mr0+(len-1)*nmv_adv);
3188: t = (NMV)ALLOCA(nmv_adv);
3189: for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) {
1.164 ! noro 3190: ndl_homogenize(DL(m),DL(t),obpe,oepos,ompos,max);
1.157 noro 3191: CQ(mr) = CQ(m);
3192: ndl_copy(DL(t),DL(mr));
3193: }
3194: NV(p)++;
3195: BDY(p) = mr0;
1.61 noro 3196: }
3197:
1.45 noro 3198: void ndv_dehomogenize(NDV p,struct order_spec *ord)
1.23 noro 3199: {
1.164 ! noro 3200: int i,j,adj,len,newnvar,newwpd,newadv,newexporigin,newmpos;
! 3201: int pos;
1.157 noro 3202: Q *w;
3203: Q dvr,t;
3204: NMV m,r;
3205:
3206: len = p->len;
3207: newnvar = nd_nvar-1;
3208: newexporigin = nd_get_exporigin(ord);
1.164 ! noro 3209: if ( nd_module ) newmpos = newexporigin-1;
1.157 noro 3210: newwpd = newnvar/nd_epw+(newnvar%nd_epw?1:0)+newexporigin;
3211: for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ )
3212: ndl_dehomogenize(DL(m));
3213: if ( newwpd != nd_wpd ) {
3214: newadv = ROUND_FOR_ALIGN(sizeof(struct oNMV)+(newwpd-1)*sizeof(UINT));
3215: for ( m = r = BDY(p), i = 0; i < len; NMV_ADV(m), NDV_NADV(r), i++ ) {
3216: CQ(r) = CQ(m);
1.164 ! noro 3217: if ( nd_module ) pos = MPOS(DL(m));
1.157 noro 3218: for ( j = 0; j < newexporigin; j++ ) DL(r)[j] = DL(m)[j];
3219: adj = nd_exporigin-newexporigin;
3220: for ( ; j < newwpd; j++ ) DL(r)[j] = DL(m)[j+adj];
1.164 ! noro 3221: if ( nd_module ) {
! 3222: DL(r)[newmpos] = pos;
! 3223: }
1.157 noro 3224: }
3225: }
3226: NV(p)--;
1.23 noro 3227: }
3228:
1.150 noro 3229: void nd_heu_nezgcdnpz(VL vl,P *pl,int m,int full,P *pr)
3230: {
1.157 noro 3231: int i;
3232: P *tpl,*tpl1;
3233: NODE l;
3234: P h,gcd,t;
3235:
3236: tpl = (P *)ALLOCA(m*sizeof(P));
3237: tpl1 = (P *)ALLOCA(m*sizeof(P));
3238: bcopy(pl,tpl,m*sizeof(P));
3239: gcd = (P)ONE;
3240: for ( l = nd_hcf; l; l = NEXT(l) ) {
3241: h = (P)BDY(l);
3242: while ( 1 ) {
3243: for ( i = 0; i < m; i++ )
3244: if ( !divtpz(vl,tpl[i],h,&tpl1[i]) )
3245: break;
3246: if ( i == m ) {
3247: bcopy(tpl1,tpl,m*sizeof(P));
3248: mulp(vl,gcd,h,&t); gcd = t;
3249: } else
3250: break;
3251: }
3252: }
3253: if ( DP_Print > 2 ){fprintf(asir_out,"[%d]",nmonop(gcd)); fflush(asir_out);}
3254: if ( full ) {
3255: heu_nezgcdnpz(vl,tpl,m,&t);
3256: mulp(vl,gcd,t,pr);
3257: } else
3258: *pr = gcd;
1.150 noro 3259: }
3260:
3261: void removecont_array(P *p,int n,int full)
1.146 noro 3262: {
1.157 noro 3263: int all_p,all_q,i;
3264: Q *c;
3265: P *w;
3266: P t,s;
3267:
3268: for ( all_q = 1, i = 0; i < n; i++ )
3269: all_q = all_q && NUM(p[i]);
3270: if ( all_q ) {
3271: removecont_array_q((Q *)p,n);
3272: } else {
3273: c = (Q *)ALLOCA(n*sizeof(Q));
3274: w = (P *)ALLOCA(n*sizeof(P));
3275: for ( i = 0; i < n; i++ ) {
3276: ptozp(p[i],1,&c[i],&w[i]);
3277: }
3278: removecont_array_q(c,n);
3279: nd_heu_nezgcdnpz(nd_vc,w,n,full,&t);
3280: for ( i = 0; i < n; i++ ) {
3281: divsp(nd_vc,w[i],t,&s); mulp(nd_vc,s,(P)c[i],&p[i]);
3282: }
3283: }
1.146 noro 3284: }
3285:
3286: void removecont_array_q(Q *c,int n)
1.21 noro 3287: {
1.157 noro 3288: struct oVECT v;
3289: Q d0,d1,a,u,u1,gcd;
3290: int i,j;
3291: N qn,rn,gn;
3292: Q *q,*r;
3293:
3294: q = (Q *)ALLOCA(n*sizeof(Q));
3295: r = (Q *)ALLOCA(n*sizeof(Q));
3296: v.id = O_VECT; v.len = n; v.body = (pointer *)c;
3297: igcdv_estimate(&v,&d0);
3298: for ( i = 0; i < n; i++ ) {
3299: divn(NM(c[i]),NM(d0),&qn,&rn);
3300: NTOQ(qn,SGN(c[i])*SGN(d0),q[i]);
3301: NTOQ(rn,SGN(c[i]),r[i]);
3302: }
3303: for ( i = 0; i < n; i++ ) if ( r[i] ) break;
3304: if ( i < n ) {
3305: v.id = O_VECT; v.len = n; v.body = (pointer *)r;
3306: igcdv(&v,&d1);
3307: gcdn(NM(d0),NM(d1),&gn); NTOQ(gn,1,gcd);
3308: divsn(NM(d0),gn,&qn); NTOQ(qn,1,a);
3309: for ( i = 0; i < n; i++ ) {
3310: mulq(a,q[i],&u);
3311: if ( r[i] ) {
3312: divsn(NM(r[i]),gn,&qn); NTOQ(qn,SGN(r[i]),u1);
3313: addq(u,u1,&q[i]);
3314: } else
3315: q[i] = u;
3316: }
3317: }
3318: for ( i = 0; i < n; i++ ) c[i] = q[i];
1.16 noro 3319: }
3320:
1.19 noro 3321: void nd_mul_c(int mod,ND p,int mul)
1.1 noro 3322: {
1.157 noro 3323: NM m;
3324: int c,c1;
1.1 noro 3325:
1.157 noro 3326: if ( !p ) return;
3327: if ( mul == 1 ) return;
3328: if ( mod == -1 )
3329: for ( m = BDY(p); m; m = NEXT(m) )
3330: CM(m) = _mulsf(CM(m),mul);
3331: else
3332: for ( m = BDY(p); m; m = NEXT(m) ) {
3333: c1 = CM(m); DMAR(c1,mul,0,mod,c); CM(m) = c;
3334: }
1.1 noro 3335: }
3336:
1.146 noro 3337: void nd_mul_c_q(ND p,P mul)
1.16 noro 3338: {
1.157 noro 3339: NM m;
3340: P c;
1.16 noro 3341:
1.157 noro 3342: if ( !p ) return;
3343: if ( UNIQ(mul) ) return;
3344: for ( m = BDY(p); m; m = NEXT(m) ) {
3345: mulp(nd_vc,CP(m),mul,&c); CP(m) = c;
3346: }
1.16 noro 3347: }
3348:
1.61 noro 3349: void nd_mul_c_p(VL vl,ND p,P mul)
3350: {
1.157 noro 3351: NM m;
3352: P c;
1.61 noro 3353:
1.157 noro 3354: if ( !p ) return;
3355: for ( m = BDY(p); m; m = NEXT(m) ) {
3356: mulp(vl,CP(m),mul,&c); CP(m) = c;
3357: }
1.61 noro 3358: }
3359:
1.1 noro 3360: void nd_free(ND p)
3361: {
1.157 noro 3362: NM t,s;
1.1 noro 3363:
1.157 noro 3364: if ( !p ) return;
3365: t = BDY(p);
3366: while ( t ) {
3367: s = NEXT(t);
3368: FREENM(t);
3369: t = s;
3370: }
3371: FREEND(p);
1.1 noro 3372: }
3373:
1.23 noro 3374: void ndv_free(NDV p)
3375: {
1.157 noro 3376: GC_free(BDY(p));
1.23 noro 3377: }
3378:
1.61 noro 3379: void nd_append_red(UINT *d,int i)
1.1 noro 3380: {
1.157 noro 3381: RHist m,m0;
3382: int h;
1.1 noro 3383:
1.157 noro 3384: NEWRHist(m);
3385: h = ndl_hash_value(d);
3386: m->index = i;
3387: ndl_copy(d,DL(m));
3388: NEXT(m) = nd_red[h];
3389: nd_red[h] = m;
1.1 noro 3390: }
3391:
1.61 noro 3392: UINT *ndv_compute_bound(NDV p)
1.1 noro 3393: {
1.157 noro 3394: UINT *d1,*d2,*t;
3395: UINT u;
3396: int i,j,k,l,len,ind;
3397: NMV m;
3398:
3399: if ( !p )
3400: return 0;
3401: d1 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
3402: d2 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
3403: len = LEN(p);
3404: m = BDY(p); ndl_copy(DL(m),d1); NMV_ADV(m);
3405: for ( i = 1; i < len; i++, NMV_ADV(m) ) {
1.159 noro 3406: ndl_max(DL(m),d1,d2);
1.157 noro 3407: t = d1; d1 = d2; d2 = t;
3408: }
3409: l = nd_nvar+31;
3410: t = (UINT *)MALLOC_ATOMIC(l*sizeof(UINT));
3411: for ( i = nd_exporigin, ind = 0; i < nd_wpd; i++ ) {
3412: u = d1[i];
3413: k = (nd_epw-1)*nd_bpe;
3414: for ( j = 0; j < nd_epw; j++, k -= nd_bpe, ind++ )
3415: t[ind] = (u>>k)&nd_mask0;
3416: }
3417: for ( ; ind < l; ind++ ) t[ind] = 0;
3418: return t;
1.1 noro 3419: }
3420:
1.99 noro 3421: UINT *nd_compute_bound(ND p)
3422: {
1.157 noro 3423: UINT *d1,*d2,*t;
3424: UINT u;
3425: int i,j,k,l,len,ind;
3426: NM m;
3427:
3428: if ( !p )
3429: return 0;
3430: d1 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
3431: d2 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
3432: len = LEN(p);
3433: m = BDY(p); ndl_copy(DL(m),d1); m = NEXT(m);
3434: for ( m = NEXT(m); m; m = NEXT(m) ) {
3435: ndl_lcm(DL(m),d1,d2);
3436: t = d1; d1 = d2; d2 = t;
3437: }
3438: l = nd_nvar+31;
3439: t = (UINT *)MALLOC_ATOMIC(l*sizeof(UINT));
3440: for ( i = nd_exporigin, ind = 0; i < nd_wpd; i++ ) {
3441: u = d1[i];
3442: k = (nd_epw-1)*nd_bpe;
3443: for ( j = 0; j < nd_epw; j++, k -= nd_bpe, ind++ )
3444: t[ind] = (u>>k)&nd_mask0;
3445: }
3446: for ( ; ind < l; ind++ ) t[ind] = 0;
3447: return t;
1.99 noro 3448: }
3449:
1.157 noro 3450: /* if nd_module == 1 then d[nd_exporigin-1] indicates the position */
3451: /* of a term. In this case we need additional 1 word. */
3452:
1.48 noro 3453: int nd_get_exporigin(struct order_spec *ord)
3454: {
1.157 noro 3455: switch ( ord->id ) {
3456: case 0: case 2: case 256: case 258:
3457: return 1+nd_module;
3458: case 1: case 257:
3459: /* block order */
3460: /* poly ring d[0]:weight d[1]:w0,...,d[nd_exporigin-1]:w(n-1) */
3461: /* module d[0]:weight d[1]:w0,...,d[nd_exporigin-2]:w(n-1) */
3462: return ord->ord.block.length+1+nd_module;
3463: case 3: case 259:
3464: error("nd_get_exporigin : composite order is not supported yet.");
3465: }
1.48 noro 3466: }
3467:
1.61 noro 3468: void nd_setup_parameters(int nvar,int max) {
1.157 noro 3469: int i,j,n,elen,ord_o,ord_l,l,s,wpd;
3470: struct order_pair *op;
1.48 noro 3471:
1.157 noro 3472: nd_nvar = nvar;
3473: if ( max ) {
3474: /* XXX */
3475: if ( do_weyl ) nd_bpe = 32;
3476: else if ( max < 2 ) nd_bpe = 1;
3477: else if ( max < 4 ) nd_bpe = 2;
3478: else if ( max < 8 ) nd_bpe = 3;
3479: else if ( max < 16 ) nd_bpe = 4;
3480: else if ( max < 32 ) nd_bpe = 5;
3481: else if ( max < 64 ) nd_bpe = 6;
3482: else if ( max < 256 ) nd_bpe = 8;
3483: else if ( max < 1024 ) nd_bpe = 10;
3484: else if ( max < 65536 ) nd_bpe = 16;
3485: else nd_bpe = 32;
3486: }
3487: nd_epw = (sizeof(UINT)*8)/nd_bpe;
3488: elen = nd_nvar/nd_epw+(nd_nvar%nd_epw?1:0);
3489: nd_exporigin = nd_get_exporigin(nd_ord);
3490: wpd = nd_exporigin+elen;
3491: if ( nd_module )
3492: nd_mpos = nd_exporigin-1;
3493: else
3494: nd_mpos = -1;
3495: if ( wpd != nd_wpd ) {
3496: nd_free_private_storage();
3497: nd_wpd = wpd;
3498: }
3499: if ( nd_bpe < 32 ) {
3500: nd_mask0 = (1<<nd_bpe)-1;
3501: } else {
3502: nd_mask0 = 0xffffffff;
3503: }
3504: bzero(nd_mask,sizeof(nd_mask));
3505: nd_mask1 = 0;
3506: for ( i = 0; i < nd_epw; i++ ) {
3507: nd_mask[nd_epw-i-1] = (nd_mask0<<(i*nd_bpe));
3508: nd_mask1 |= (1<<(nd_bpe-1))<<(i*nd_bpe);
3509: }
3510: nmv_adv = ROUND_FOR_ALIGN(sizeof(struct oNMV)+(nd_wpd-1)*sizeof(UINT));
3511: nd_epos = nd_create_epos(nd_ord);
3512: nd_blockmask = nd_create_blockmask(nd_ord);
3513: nd_work_vector = (int *)REALLOC(nd_work_vector,nd_nvar*sizeof(int));
1.1 noro 3514: }
3515:
1.103 noro 3516: ND_pairs nd_reconstruct(int trace,ND_pairs d)
1.1 noro 3517: {
1.157 noro 3518: int i,obpe,oadv,h;
3519: static NM prev_nm_free_list;
3520: static ND_pairs prev_ndp_free_list;
3521: RHist mr0,mr;
3522: RHist r;
3523: RHist *old_red;
3524: ND_pairs s0,s,t;
3525: EPOS oepos;
3526:
3527: obpe = nd_bpe;
3528: oadv = nmv_adv;
3529: oepos = nd_epos;
3530: if ( obpe < 2 ) nd_bpe = 2;
3531: else if ( obpe < 3 ) nd_bpe = 3;
3532: else if ( obpe < 4 ) nd_bpe = 4;
3533: else if ( obpe < 5 ) nd_bpe = 5;
3534: else if ( obpe < 6 ) nd_bpe = 6;
3535: else if ( obpe < 8 ) nd_bpe = 8;
3536: else if ( obpe < 10 ) nd_bpe = 10;
3537: else if ( obpe < 16 ) nd_bpe = 16;
3538: else if ( obpe < 32 ) nd_bpe = 32;
3539: else error("nd_reconstruct : exponent too large");
3540:
3541: nd_setup_parameters(nd_nvar,0);
3542: prev_nm_free_list = _nm_free_list;
3543: prev_ndp_free_list = _ndp_free_list;
3544: _nm_free_list = 0;
3545: _ndp_free_list = 0;
3546: for ( i = nd_psn-1; i >= 0; i-- ) ndv_realloc(nd_ps[i],obpe,oadv,oepos);
3547: if ( trace )
3548: for ( i = nd_psn-1; i >= 0; i-- )
3549: ndv_realloc(nd_ps_trace[i],obpe,oadv,oepos);
3550: s0 = 0;
3551: for ( t = d; t; t = NEXT(t) ) {
3552: NEXTND_pairs(s0,s);
3553: s->i1 = t->i1;
3554: s->i2 = t->i2;
3555: SG(s) = SG(t);
3556: ndl_reconstruct(LCM(t),LCM(s),obpe,oepos);
3557: }
3558:
3559: old_red = (RHist *)ALLOCA(REDTAB_LEN*sizeof(RHist));
3560: for ( i = 0; i < REDTAB_LEN; i++ ) {
3561: old_red[i] = nd_red[i];
3562: nd_red[i] = 0;
3563: }
3564: for ( i = 0; i < REDTAB_LEN; i++ )
3565: for ( r = old_red[i]; r; r = NEXT(r) ) {
3566: NEWRHist(mr);
3567: mr->index = r->index;
3568: SG(mr) = SG(r);
3569: ndl_reconstruct(DL(r),DL(mr),obpe,oepos);
3570: h = ndl_hash_value(DL(mr));
3571: NEXT(mr) = nd_red[h];
3572: nd_red[h] = mr;
3573: }
3574: for ( i = 0; i < REDTAB_LEN; i++ ) old_red[i] = 0;
3575: old_red = 0;
3576: for ( i = 0; i < nd_psn; i++ ) {
3577: NEWRHist(r); SG(r) = SG(nd_psh[i]);
3578: ndl_reconstruct(DL(nd_psh[i]),DL(r),obpe,oepos);
3579: nd_psh[i] = r;
3580: }
3581: if ( s0 ) NEXT(s) = 0;
3582: prev_nm_free_list = 0;
3583: prev_ndp_free_list = 0;
1.71 noro 3584: #if 0
1.157 noro 3585: GC_gcollect();
1.71 noro 3586: #endif
1.157 noro 3587: return s0;
1.1 noro 3588: }
3589:
1.61 noro 3590: void ndl_reconstruct(UINT *d,UINT *r,int obpe,EPOS oepos)
1.1 noro 3591: {
1.157 noro 3592: int n,i,ei,oepw,omask0,j,s,ord_l,l;
3593: struct order_pair *op;
1.1 noro 3594:
1.157 noro 3595: n = nd_nvar;
3596: oepw = (sizeof(UINT)*8)/obpe;
3597: omask0 = (1<<obpe)-1;
3598: TD(r) = TD(d);
3599: for ( i = nd_exporigin; i < nd_wpd; i++ ) r[i] = 0;
3600: if ( nd_blockmask ) {
3601: l = nd_blockmask->n;
3602: op = nd_blockmask->order_pair;
3603: for ( i = 1; i < nd_exporigin; i++ )
3604: r[i] = d[i];
3605: for ( j = 0, s = 0; j < l; j++ ) {
3606: ord_l = op[j].length;
3607: for ( i = 0; i < ord_l; i++, s++ ) {
3608: ei = GET_EXP_OLD(d,s);
3609: PUT_EXP(r,s,ei);
3610: }
3611: }
3612: } else {
3613: for ( i = 0; i < n; i++ ) {
3614: ei = GET_EXP_OLD(d,i);
3615: PUT_EXP(r,i,ei);
3616: }
3617: }
3618: if ( nd_module ) MPOS(r) = MPOS(d);
1.1 noro 3619: }
1.3 noro 3620:
1.6 noro 3621: ND nd_copy(ND p)
3622: {
1.157 noro 3623: NM m,mr,mr0;
3624: int c,n;
3625: ND r;
3626:
3627: if ( !p )
3628: return 0;
3629: else {
3630: for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
3631: NEXTNM(mr0,mr);
3632: CM(mr) = CM(m);
3633: ndl_copy(DL(m),DL(mr));
3634: }
3635: NEXT(mr) = 0;
3636: MKND(NV(p),mr0,LEN(p),r);
3637: SG(r) = SG(p);
3638: return r;
3639: }
1.6 noro 3640: }
3641:
1.53 noro 3642: int nd_sp(int mod,int trace,ND_pairs p,ND *rp)
1.11 noro 3643: {
1.157 noro 3644: NM m1,m2;
3645: NDV p1,p2;
3646: ND t1,t2;
3647: UINT *lcm;
3648: P gp,tp;
3649: Q g,t;
3650: int td;
3651:
3652: if ( !mod && nd_demand ) {
3653: p1 = ndv_load(p->i1); p2 = ndv_load(p->i2);
3654: } else {
3655: if ( trace ) {
3656: p1 = nd_ps_trace[p->i1]; p2 = nd_ps_trace[p->i2];
3657: } else {
3658: p1 = nd_ps[p->i1]; p2 = nd_ps[p->i2];
3659: }
3660: }
3661: lcm = LCM(p);
3662: NEWNM(m1); ndl_sub(lcm,HDL(p1),DL(m1));
3663: if ( ndl_check_bound2(p->i1,DL(m1)) ) {
3664: FREENM(m1); return 0;
3665: }
3666: NEWNM(m2); ndl_sub(lcm,HDL(p2),DL(m2));
3667: if ( ndl_check_bound2(p->i2,DL(m2)) ) {
3668: FREENM(m1); FREENM(m2); return 0;
3669: }
3670:
3671: if ( mod == -1 ) {
3672: CM(m1) = HCM(p2); CM(m2) = _chsgnsf(HCM(p1));
3673: } else if ( mod ) {
3674: CM(m1) = HCM(p2); CM(m2) = mod-HCM(p1);
3675: } else if ( nd_vc ) {
3676: ezgcdpz(nd_vc,HCP(p1),HCP(p2),&gp);
3677: divsp(nd_vc,HCP(p2),gp,&CP(m1));
3678: divsp(nd_vc,HCP(p1),gp,&tp); chsgnp(tp,&CP(m2));
3679: } else {
3680: igcd_cofactor(HCQ(p1),HCQ(p2),&g,&t,&CQ(m1)); chsgnq(t,&CQ(m2));
3681: }
3682: t1 = ndv_mul_nm(mod,m1,p1); t2 = ndv_mul_nm(mod,m2,p2);
3683: *rp = nd_add(mod,t1,t2);
3684: FREENM(m1); FREENM(m2);
3685: return 1;
1.11 noro 3686: }
3687:
1.19 noro 3688: void ndv_mul_c(int mod,NDV p,int mul)
1.11 noro 3689: {
1.157 noro 3690: NMV m;
3691: int c,c1,len,i;
1.11 noro 3692:
1.157 noro 3693: if ( !p ) return;
3694: len = LEN(p);
3695: if ( mod == -1 )
3696: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) )
3697: CM(m) = _mulsf(CM(m),mul);
3698: else
3699: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
3700: c1 = CM(m); DMAR(c1,mul,0,mod,c); CM(m) = c;
3701: }
1.11 noro 3702: }
3703:
1.113 noro 3704: void ndv_mul_c_q(NDV p,Q mul)
1.16 noro 3705: {
1.157 noro 3706: NMV m;
3707: Q c;
3708: int len,i;
3709:
3710: if ( !p ) return;
3711: len = LEN(p);
3712: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
3713: mulq(CQ(m),mul,&c); CQ(m) = c;
3714: }
1.16 noro 3715: }
3716:
1.55 noro 3717: ND weyl_ndv_mul_nm(int mod,NM m0,NDV p) {
1.157 noro 3718: int n2,i,j,l,n,tlen;
3719: UINT *d0;
3720: NM *tab,*psum;
3721: ND s,r;
3722: NM t;
3723: NMV m1;
3724:
3725: if ( !p ) return 0;
3726: n = NV(p); n2 = n>>1;
3727: d0 = DL(m0);
3728: l = LEN(p);
3729: for ( i = 0, tlen = 1; i < n2; i++ ) tlen *= (GET_EXP(d0,n2+i)+1);
3730: tab = (NM *)ALLOCA(tlen*sizeof(NM));
3731: psum = (NM *)ALLOCA(tlen*sizeof(NM));
3732: for ( i = 0; i < tlen; i++ ) psum[i] = 0;
3733: m1 = (NMV)(((char *)BDY(p))+nmv_adv*(l-1));
3734: for ( i = l-1; i >= 0; i--, NMV_PREV(m1) ) {
3735: /* m0(NM) * m1(NMV) => tab(NM) */
3736: weyl_mul_nm_nmv(n,mod,m0,m1,tab,tlen);
3737: for ( j = 0; j < tlen; j++ ) {
3738: if ( tab[j] ) {
3739: NEXT(tab[j]) = psum[j]; psum[j] = tab[j];
3740: }
3741: }
3742: }
3743: for ( i = tlen-1, r = 0; i >= 0; i-- )
3744: if ( psum[i] ) {
3745: for ( j = 0, t = psum[i]; t; t = NEXT(t), j++ );
3746: MKND(n,psum[i],j,s);
3747: r = nd_add(mod,r,s);
3748: }
3749: if ( r ) SG(r) = SG(p)+TD(d0);
3750: return r;
1.55 noro 3751: }
3752:
1.56 noro 3753: /* product of monomials */
3754: /* XXX block order is not handled correctly */
3755:
1.55 noro 3756: void weyl_mul_nm_nmv(int n,int mod,NM m0,NMV m1,NM *tab,int tlen)
3757: {
1.157 noro 3758: int i,n2,j,s,curlen,homo,h,a,b,k,l,u,min;
3759: UINT *d0,*d1,*d,*dt,*ctab;
3760: Q *ctab_q;
3761: Q q,q1;
3762: UINT c0,c1,c;
3763: NM *p;
3764: NM m,t;
3765: int mpos;
3766:
3767: for ( i = 0; i < tlen; i++ ) tab[i] = 0;
3768: if ( !m0 || !m1 ) return;
3769: d0 = DL(m0); d1 = DL(m1); n2 = n>>1;
3770: NEWNM(m); d = DL(m);
3771: if ( mod ) {
3772: c0 = CM(m0); c1 = CM(m1); DMAR(c0,c1,0,mod,c); CM(m) = c;
3773: } else
3774: mulq(CQ(m0),CQ(m1),&CQ(m));
3775: for ( i = 0; i < nd_wpd; i++ ) d[i] = 0;
3776: homo = n&1 ? 1 : 0;
3777: if ( homo ) {
3778: /* offset of h-degree */
3779: h = GET_EXP(d0,n-1)+GET_EXP(d1,n-1);
3780: PUT_EXP(DL(m),n-1,h);
3781: TD(DL(m)) = h;
3782: if ( nd_blockmask ) ndl_weight_mask(DL(m));
3783: }
3784: if ( nd_module ) {
3785: mpos = MPOS(d1);
1.163 noro 3786: TD(d1) = ndl_weight(d1);
1.157 noro 3787: if ( MPOS(d0) ) error("weyl_mul_nm_nmv : invalid operation");
3788: }
3789: tab[0] = m;
3790: NEWNM(m); d = DL(m);
3791: for ( i = 0, curlen = 1; i < n2; i++ ) {
3792: a = GET_EXP(d0,i); b = GET_EXP(d1,n2+i);
3793: k = GET_EXP(d0,n2+i); l = GET_EXP(d1,i);
3794: /* xi^a*(Di^k*xi^l)*Di^b */
3795: a += l; b += k;
3796: s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i);
3797: if ( !k || !l ) {
3798: for ( j = 0; j < curlen; j++ )
3799: if ( t = tab[j] ) {
3800: dt = DL(t);
3801: PUT_EXP(dt,i,a); PUT_EXP(dt,n2+i,b); TD(dt) += s;
3802: if ( nd_blockmask ) ndl_weight_mask(dt);
3803: }
3804: curlen *= k+1;
3805: continue;
3806: }
3807: min = MIN(k,l);
3808: if ( mod ) {
3809: ctab = (UINT *)ALLOCA((min+1)*sizeof(UINT));
3810: mkwcm(k,l,mod,ctab);
3811: } else {
3812: ctab_q = (Q *)ALLOCA((min+1)*sizeof(Q));
3813: mkwc(k,l,ctab_q);
3814: }
3815: for ( j = min; j >= 0; j-- ) {
3816: for ( u = 0; u < nd_wpd; u++ ) d[u] = 0;
3817: PUT_EXP(d,i,a-j); PUT_EXP(d,n2+i,b-j);
3818: h = MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i);
3819: if ( homo ) {
3820: TD(d) = s;
3821: PUT_EXP(d,n-1,s-h);
3822: } else TD(d) = h;
1.163 noro 3823: if ( nd_module ) {
3824: MPOS(d) = mpos;
3825: TD(d) = ndl_weight(d);
3826: }
1.157 noro 3827: if ( nd_blockmask ) ndl_weight_mask(d);
3828: if ( mod ) c = ctab[j];
3829: else q = ctab_q[j];
3830: p = tab+curlen*j;
3831: if ( j == 0 ) {
3832: for ( u = 0; u < curlen; u++, p++ ) {
3833: if ( tab[u] ) {
3834: ndl_addto(DL(tab[u]),d);
3835: if ( mod ) {
3836: c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(tab[u]) = c1;
3837: } else {
3838: mulq(CQ(tab[u]),q,&q1); CQ(tab[u]) = q1;
3839: }
3840: }
3841: }
3842: } else {
3843: for ( u = 0; u < curlen; u++, p++ ) {
3844: if ( tab[u] ) {
3845: NEWNM(t);
3846: ndl_add(DL(tab[u]),d,DL(t));
3847: if ( mod ) {
3848: c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(t) = c1;
3849: } else
3850: mulq(CQ(tab[u]),q,&CQ(t));
3851: *p = t;
3852: }
3853: }
3854: }
3855: }
3856: curlen *= k+1;
3857: }
3858: FREENM(m);
1.55 noro 3859: }
3860:
1.63 noro 3861: ND ndv_mul_nm_symbolic(NM m0,NDV p)
3862: {
1.157 noro 3863: NM mr,mr0;
3864: NMV m;
3865: UINT *d,*dt,*dm;
3866: int c,n,td,i,c1,c2,len;
3867: Q q;
3868: ND r;
3869:
3870: if ( !p ) return 0;
3871: else {
3872: n = NV(p); m = BDY(p);
3873: d = DL(m0);
3874: len = LEN(p);
3875: mr0 = 0;
3876: td = TD(d);
3877: c = CM(m0);
3878: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
3879: NEXTNM(mr0,mr);
3880: CM(mr) = 1;
3881: ndl_add(DL(m),d,DL(mr));
3882: }
3883: NEXT(mr) = 0;
3884: MKND(NV(p),mr0,len,r);
3885: SG(r) = SG(p) + TD(d);
3886: return r;
3887: }
1.63 noro 3888: }
3889:
1.55 noro 3890: ND ndv_mul_nm(int mod,NM m0,NDV p)
1.9 noro 3891: {
1.157 noro 3892: NM mr,mr0;
3893: NMV m;
3894: UINT *d,*dt,*dm;
3895: int c,n,td,i,c1,c2,len;
3896: P q;
3897: ND r;
3898:
3899: if ( !p ) return 0;
3900: else if ( do_weyl )
3901: if ( mod == -1 )
3902: error("ndv_mul_nm : not implemented (weyl)");
3903: else
3904: return weyl_ndv_mul_nm(mod,m0,p);
3905: else {
3906: n = NV(p); m = BDY(p);
3907: d = DL(m0);
3908: len = LEN(p);
3909: mr0 = 0;
3910: td = TD(d);
3911: if ( mod == -1 ) {
3912: c = CM(m0);
3913: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
3914: NEXTNM(mr0,mr);
3915: CM(mr) = _mulsf(CM(m),c);
3916: ndl_add(DL(m),d,DL(mr));
3917: }
3918: } else if ( mod ) {
3919: c = CM(m0);
3920: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
3921: NEXTNM(mr0,mr);
3922: c1 = CM(m);
3923: DMAR(c1,c,0,mod,c2);
3924: CM(mr) = c2;
3925: ndl_add(DL(m),d,DL(mr));
3926: }
3927: } else {
3928: q = CP(m0);
3929: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
3930: NEXTNM(mr0,mr);
3931: mulp(nd_vc,CP(m),q,&CP(mr));
3932: ndl_add(DL(m),d,DL(mr));
3933: }
3934: }
3935: NEXT(mr) = 0;
3936: MKND(NV(p),mr0,len,r);
3937: SG(r) = SG(p) + TD(d);
3938: return r;
3939: }
1.4 noro 3940: }
3941:
1.104 noro 3942: ND nd_quo(int mod,PGeoBucket bucket,NDV d)
1.99 noro 3943: {
1.157 noro 3944: NM mq0,mq;
3945: NMV tm;
3946: Q q;
3947: int i,nv,sg,c,c1,c2,hindex;
3948: ND p,t,r;
3949: N tnm;
3950:
3951: if ( bucket->m < 0 ) return 0;
3952: else {
3953: nv = NV(d);
3954: mq0 = 0;
3955: tm = (NMV)ALLOCA(nmv_adv);
3956: while ( 1 ) {
3957: hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket);
3958: if ( hindex < 0 ) break;
3959: p = bucket->body[hindex];
3960: NEXTNM(mq0,mq);
3961: ndl_sub(HDL(p),HDL(d),DL(mq));
3962: ndl_copy(DL(mq),DL(tm));
3963: if ( mod ) {
3964: c1 = invm(HCM(d),mod); c2 = HCM(p);
3965: DMAR(c1,c2,0,mod,c); CM(mq) = c;
3966: CM(tm) = mod-c;
3967: } else {
3968: divsn(NM(HCQ(p)),NM(HCQ(d)),&tnm);
3969: NTOQ(tnm,SGN(HCQ(p))*SGN(HCQ(d)),CQ(mq));
3970: chsgnq(CQ(mq),&CQ(tm));
3971: }
3972: t = ndv_mul_nmv_trunc(mod,tm,d,HDL(d));
3973: bucket->body[hindex] = nd_remove_head(p);
3974: t = nd_remove_head(t);
3975: add_pbucket(mod,bucket,t);
3976: }
3977: if ( !mq0 )
3978: r = 0;
3979: else {
3980: NEXT(mq) = 0;
3981: for ( i = 0, mq = mq0; mq; mq = NEXT(mq), i++ );
3982: MKND(nv,mq0,i,r);
3983: /* XXX */
3984: SG(r) = HTD(r);
3985: }
3986: return r;
3987: }
1.99 noro 3988: }
3989:
1.43 noro 3990: void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos)
1.11 noro 3991: {
1.157 noro 3992: NMV m,mr,mr0,t;
3993: int len,i,k;
1.11 noro 3994:
1.157 noro 3995: if ( !p ) return;
3996: m = BDY(p); len = LEN(p);
3997: mr0 = nmv_adv>oadv?(NMV)REALLOC(BDY(p),len*nmv_adv):BDY(p);
3998: m = (NMV)((char *)mr0+(len-1)*oadv);
3999: mr = (NMV)((char *)mr0+(len-1)*nmv_adv);
4000: t = (NMV)ALLOCA(nmv_adv);
4001: for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) {
4002: CQ(t) = CQ(m);
4003: for ( k = 0; k < nd_wpd; k++ ) DL(t)[k] = 0;
4004: ndl_reconstruct(DL(m),DL(t),obpe,oepos);
4005: CQ(mr) = CQ(t);
4006: ndl_copy(DL(t),DL(mr));
4007: }
4008: BDY(p) = mr0;
1.61 noro 4009: }
4010:
4011: NDV ndv_dup_realloc(NDV p,int obpe,int oadv,EPOS oepos)
4012: {
1.157 noro 4013: NMV m,mr,mr0;
4014: int len,i;
4015: NDV r;
4016:
4017: if ( !p ) return 0;
4018: m = BDY(p); len = LEN(p);
4019: mr0 = mr = (NMV)MALLOC(len*nmv_adv);
4020: for ( i = 0; i < len; i++, NMV_OADV(m), NMV_ADV(mr) ) {
4021: ndl_zero(DL(mr));
4022: ndl_reconstruct(DL(m),DL(mr),obpe,oepos);
4023: CQ(mr) = CQ(m);
4024: }
4025: MKNDV(NV(p),mr0,len,r);
4026: SG(r) = SG(p);
4027: return r;
1.11 noro 4028: }
4029:
1.61 noro 4030: /* duplicate p */
4031:
4032: NDV ndv_dup(int mod,NDV p)
1.3 noro 4033: {
1.157 noro 4034: NDV d;
4035: NMV t,m,m0;
4036: int i,len;
4037:
4038: if ( !p ) return 0;
4039: len = LEN(p);
4040: m0 = m = (NMV)(mod?MALLOC_ATOMIC(len*nmv_adv):MALLOC(len*nmv_adv));
4041: for ( t = BDY(p), i = 0; i < len; i++, NMV_ADV(t), NMV_ADV(m) ) {
4042: ndl_copy(DL(t),DL(m));
4043: CQ(m) = CQ(t);
4044: }
4045: MKNDV(NV(p),m0,len,d);
4046: SG(d) = SG(p);
4047: return d;
1.23 noro 4048: }
4049:
1.63 noro 4050: ND nd_dup(ND p)
4051: {
1.157 noro 4052: ND d;
4053: NM t,m,m0;
1.63 noro 4054:
1.157 noro 4055: if ( !p ) return 0;
4056: for ( m0 = 0, t = BDY(p); t; t = NEXT(t) ) {
4057: NEXTNM(m0,m);
4058: ndl_copy(DL(t),DL(m));
4059: CQ(m) = CQ(t);
4060: }
4061: if ( m0 ) NEXT(m) = 0;
4062: MKND(NV(p),m0,LEN(p),d);
4063: SG(d) = SG(p);
4064: return d;
1.63 noro 4065: }
4066:
1.61 noro 4067: /* XXX if p->len == 0 then it represents 0 */
4068:
4069: void ndv_mod(int mod,NDV p)
4070: {
1.157 noro 4071: NMV t,d;
4072: int r,s,u;
4073: int i,len,dlen;
4074: P cp;
4075: Q c;
4076: Obj gfs;
4077:
4078: if ( !p ) return;
4079: len = LEN(p);
4080: dlen = 0;
4081: if ( mod == -1 )
4082: for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) {
4083: simp_ff((Obj)CP(t),&gfs);
4084: r = FTOIF(CONT((GFS)gfs));
4085: CM(d) = r;
4086: ndl_copy(DL(t),DL(d));
4087: NMV_ADV(d);
4088: dlen++;
4089: }
4090: else
4091: for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) {
4092: if ( nd_vc ) {
4093: nd_subst_vector(nd_vc,CP(t),nd_subst,&cp);
4094: c = (Q)cp;
4095: } else
4096: c = CQ(t);
4097: r = rem(NM(c),mod);
4098: if ( r ) {
4099: if ( SGN(c) < 0 )
4100: r = mod-r;
4101: if ( DN(c) ) {
4102: s = rem(DN(c),mod);
4103: if ( !s )
4104: error("ndv_mod : division by 0");
4105: s = invm(s,mod);
4106: DMAR(r,s,0,mod,u); r = u;
4107: }
4108: CM(d) = r;
4109: ndl_copy(DL(t),DL(d));
4110: NMV_ADV(d);
4111: dlen++;
4112: }
4113: }
4114: LEN(p) = dlen;
1.61 noro 4115: }
4116:
4117: NDV ptondv(VL vl,VL dvl,P p)
4118: {
1.157 noro 4119: ND nd;
4120:
4121: nd = ptond(vl,dvl,p);
4122: return ndtondv(0,nd);
4123: }
1.61 noro 4124:
1.157 noro 4125: void pltozpl(LIST l,Q *cont,LIST *pp)
4126: {
4127: NODE nd,nd1;
4128: int n;
4129: P *pl;
4130: Q *cl;
4131: int i;
4132: P dmy;
4133: Q dvr;
4134: LIST r;
4135:
4136: nd = BDY(l); n = length(nd);
4137: pl = (P *)ALLOCA(n*sizeof(P));
4138: cl = (Q *)ALLOCA(n*sizeof(P));
4139: for ( i = 0; i < n; i++, nd = NEXT(nd) )
4140: ptozp((P)BDY(nd),1,&cl[i],&dmy);
4141: qltozl(cl,n,&dvr);
4142: nd = BDY(l);
4143: for ( i = 0; i < n; i++, nd = NEXT(nd) ) {
4144: divsp(CO,(P)BDY(nd),(P)dvr,&pl[i]);
4145: }
4146: nd = 0;
4147: for ( i = n-1; i >= 0; i-- ) {
4148: MKNODE(nd1,pl[i],nd); nd = nd1;
4149: }
4150: MKLIST(r,nd);
4151: *pp = r;
4152: }
4153:
4154: /* (a1,a2,...,an) -> a1*e(1)+...+an*e(n) */
4155:
4156: NDV pltondv(VL vl,VL dvl,LIST p)
4157: {
4158: int i;
4159: NODE t;
4160: ND r,ri;
4161: NM m;
4162:
4163: if ( !nd_module ) error("pltond : module order must be set");
4164: r = 0;
4165: for ( i = 1, t = BDY(p); t; t = NEXT(t), i++ ) {
4166: ri = ptond(vl,dvl,(P)BDY(t));
1.163 noro 4167: if ( ri )
4168: for ( m = BDY(ri); m; m = NEXT(m) ) {
4169: MPOS(DL(m)) = i;
4170: TD(DL(m)) = ndl_weight(DL(m));
4171: if ( nd_blockmask ) ndl_weight_mask(DL(m));
4172: }
1.157 noro 4173: r = nd_add(0,r,ri);
4174: }
4175: return ndtondv(0,r);
1.61 noro 4176: }
4177:
4178: ND ptond(VL vl,VL dvl,P p)
1.23 noro 4179: {
1.157 noro 4180: int n,i,j,k,e;
4181: VL tvl;
4182: V v;
4183: DCP dc;
4184: DCP *w;
4185: ND r,s,t,u;
4186: P x;
4187: int c;
4188: UINT *d;
4189: NM m,m0;
4190:
4191: if ( !p )
4192: return 0;
4193: else if ( NUM(p) ) {
4194: NEWNM(m);
4195: ndl_zero(DL(m));
4196: CQ(m) = (Q)p;
4197: NEXT(m) = 0;
4198: MKND(nd_nvar,m,1,r);
4199: SG(r) = 0;
4200: return r;
4201: } else {
4202: for ( dc = DC(p), k = 0; dc; dc = NEXT(dc), k++ );
4203: w = (DCP *)ALLOCA(k*sizeof(DCP));
4204: for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ ) w[j] = dc;
4205: for ( i = 0, tvl = dvl, v = VR(p);
4206: tvl && tvl->v != v; tvl = NEXT(tvl), i++ );
4207: if ( !tvl ) {
4208: for ( j = k-1, s = 0, MKV(v,x); j >= 0; j-- ) {
4209: t = ptond(vl,dvl,COEF(w[j]));
4210: pwrp(vl,x,DEG(w[j]),&p);
4211: nd_mul_c_p(CO,t,p); s = nd_add(0,s,t);
4212: }
4213: return s;
4214: } else {
4215: NEWNM(m0); d = DL(m0);
4216: for ( j = k-1, s = 0; j >= 0; j-- ) {
4217: ndl_zero(d); e = QTOS(DEG(w[j])); PUT_EXP(d,i,e);
4218: TD(d) = MUL_WEIGHT(e,i);
4219: if ( nd_blockmask) ndl_weight_mask(d);
4220: if ( nd_module ) MPOS(d) = 0;
4221: t = ptond(vl,dvl,COEF(w[j]));
4222: for ( m = BDY(t); m; m = NEXT(m) )
4223: ndl_addto(DL(m),d);
4224: SG(t) += TD(d);
4225: s = nd_add(0,s,t);
4226: }
4227: FREENM(m0);
4228: return s;
4229: }
4230: }
1.61 noro 4231: }
4232:
4233: P ndvtop(int mod,VL vl,VL dvl,NDV p)
4234: {
1.157 noro 4235: VL tvl;
4236: int len,n,j,i,e;
4237: NMV m;
4238: Q q;
4239: P c;
4240: UINT *d;
4241: P s,r,u,t,w;
4242: GFS gfs;
4243:
4244: if ( !p ) return 0;
4245: else {
4246: len = LEN(p);
4247: n = NV(p);
4248: m = (NMV)(((char *)BDY(p))+nmv_adv*(len-1));
4249: for ( j = len-1, s = 0; j >= 0; j--, NMV_PREV(m) ) {
4250: if ( mod == -1 ) {
4251: e = IFTOF(CM(m)); MKGFS(e,gfs); c = (P)gfs;
4252: } else if ( mod ) {
4253: STOQ(CM(m),q); c = (P)q;
4254: } else
4255: c = CP(m);
4256: d = DL(m);
4257: for ( i = 0, t = c, tvl = dvl; i < n; tvl = NEXT(tvl), i++ ) {
4258: MKV(tvl->v,r); e = GET_EXP(d,i); STOQ(e,q);
4259: pwrp(vl,r,q,&u); mulp(vl,t,u,&w); t = w;
4260: }
4261: addp(vl,s,t,&u); s = u;
4262: }
4263: return s;
4264: }
4265: }
4266:
4267: LIST ndvtopl(int mod,VL vl,VL dvl,NDV p,int rank)
4268: {
4269: VL tvl;
4270: int len,n,j,i,e;
4271: NMV m;
4272: Q q;
4273: P c;
4274: UINT *d;
4275: P s,r,u,t,w;
4276: GFS gfs;
4277: P *a;
4278: LIST l;
4279: NODE nd,nd1;
4280:
4281: if ( !p ) return 0;
4282: else {
4283: a = (P *)ALLOCA((rank+1)*sizeof(P));
4284: for ( i = 0; i <= rank; i++ ) a[i] = 0;
4285: len = LEN(p);
4286: n = NV(p);
4287: m = (NMV)(((char *)BDY(p))+nmv_adv*(len-1));
4288: for ( j = len-1; j >= 0; j--, NMV_PREV(m) ) {
4289: if ( mod == -1 ) {
4290: e = IFTOF(CM(m)); MKGFS(e,gfs); c = (P)gfs;
4291: } else if ( mod ) {
4292: STOQ(CM(m),q); c = (P)q;
4293: } else
4294: c = CP(m);
4295: d = DL(m);
4296: for ( i = 0, t = c, tvl = dvl; i < n; tvl = NEXT(tvl), i++ ) {
4297: MKV(tvl->v,r); e = GET_EXP(d,i); STOQ(e,q);
4298: pwrp(vl,r,q,&u); mulp(vl,t,u,&w); t = w;
4299: }
4300: addp(vl,a[MPOS(d)],t,&u); a[MPOS(d)] = u;
4301: }
4302: nd = 0;
4303: for ( i = rank; i > 0; i-- ) {
4304: MKNODE(nd1,a[i],nd); nd = nd1;
4305: }
4306: MKLIST(l,nd);
4307: return l;
4308: }
1.3 noro 4309: }
4310:
1.61 noro 4311: NDV ndtondv(int mod,ND p)
1.11 noro 4312: {
1.157 noro 4313: NDV d;
4314: NMV m,m0;
4315: NM t;
4316: int i,len;
4317:
4318: if ( !p ) return 0;
4319: len = LEN(p);
4320: if ( mod )
4321: m0 = m = (NMV)GC_malloc_atomic_ignore_off_page(len*nmv_adv);
4322: else
4323: m0 = m = MALLOC(len*nmv_adv);
1.103 noro 4324: #if 0
1.157 noro 4325: ndv_alloc += nmv_adv*len;
1.103 noro 4326: #endif
1.157 noro 4327: for ( t = BDY(p), i = 0; t; t = NEXT(t), i++, NMV_ADV(m) ) {
4328: ndl_copy(DL(t),DL(m));
4329: CQ(m) = CQ(t);
4330: }
4331: MKNDV(NV(p),m0,len,d);
4332: SG(d) = SG(p);
4333: return d;
1.11 noro 4334: }
4335:
1.61 noro 4336: ND ndvtond(int mod,NDV p)
1.11 noro 4337: {
1.157 noro 4338: ND d;
4339: NM m,m0;
4340: NMV t;
4341: int i,len;
4342:
4343: if ( !p ) return 0;
4344: m0 = 0;
4345: len = p->len;
4346: for ( t = BDY(p), i = 0; i < len; NMV_ADV(t), i++ ) {
4347: NEXTNM(m0,m);
4348: ndl_copy(DL(t),DL(m));
4349: CQ(m) = CQ(t);
4350: }
4351: NEXT(m) = 0;
4352: MKND(NV(p),m0,len,d);
4353: SG(d) = SG(p);
4354: return d;
1.11 noro 4355: }
4356:
1.3 noro 4357: void ndv_print(NDV p)
4358: {
1.157 noro 4359: NMV m;
4360: int i,len;
1.3 noro 4361:
1.157 noro 4362: if ( !p ) printf("0\n");
4363: else {
4364: len = LEN(p);
4365: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
4366: if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m)));
4367: else printf("+%d*",CM(m));
4368: ndl_print(DL(m));
4369: }
4370: printf("\n");
4371: }
1.16 noro 4372: }
4373:
1.113 noro 4374: void ndv_print_q(NDV p)
1.16 noro 4375: {
1.157 noro 4376: NMV m;
4377: int i,len;
1.16 noro 4378:
1.157 noro 4379: if ( !p ) printf("0\n");
4380: else {
4381: len = LEN(p);
4382: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
4383: printf("+");
4384: printexpr(CO,(Obj)CQ(m));
4385: printf("*");
4386: ndl_print(DL(m));
4387: }
4388: printf("\n");
4389: }
1.25 noro 4390: }
4391:
1.61 noro 4392: NODE ndv_reducebase(NODE x)
1.27 noro 4393: {
1.157 noro 4394: int len,i,j;
4395: NDV *w;
4396: NODE t,t0;
4397:
4398: len = length(x);
4399: w = (NDV *)ALLOCA(len*sizeof(NDV));
4400: for ( i = 0, t = x; i < len; i++, t = NEXT(t) ) w[i] = BDY(t);
4401: for ( i = 0; i < len; i++ ) {
4402: for ( j = 0; j < i; j++ ) {
4403: if ( w[i] && w[j] )
4404: if ( ndl_reducible(HDL(w[i]),HDL(w[j])) ) w[i] = 0;
4405: else if ( ndl_reducible(HDL(w[j]),HDL(w[i])) ) w[j] = 0;
4406: }
4407: }
4408: for ( i = len-1, t0 = 0; i >= 0; i-- ) {
4409: if ( w[i] ) { NEXTNODE(t0,t); BDY(t) = (pointer)w[i]; }
4410: }
4411: NEXT(t) = 0; x = t0;
4412: return x;
1.11 noro 4413: }
1.32 noro 4414:
1.43 noro 4415: /* XXX incomplete */
4416:
1.32 noro 4417: void nd_init_ord(struct order_spec *ord)
4418: {
1.157 noro 4419: nd_module = (ord->id >= 256);
4420: switch ( ord->id ) {
4421: case 0:
4422: switch ( ord->ord.simple ) {
4423: case 0:
4424: nd_dcomp = 1;
4425: nd_isrlex = 1;
4426: break;
4427: case 1:
4428: nd_dcomp = 1;
4429: nd_isrlex = 0;
4430: break;
4431: case 2:
4432: nd_dcomp = 0;
4433: nd_isrlex = 0;
4434: ndl_compare_function = ndl_lex_compare;
4435: break;
4436: case 11:
4437: /* XXX */
4438: nd_dcomp = 0;
4439: nd_isrlex = 1;
4440: ndl_compare_function = ndl_ww_lex_compare;
4441: break;
4442: default:
4443: error("nd_gr : unsupported order");
4444: }
4445: break;
4446: case 1:
4447: /* block order */
4448: /* XXX */
4449: nd_dcomp = -1;
4450: nd_isrlex = 0;
4451: ndl_compare_function = ndl_block_compare;
4452: break;
4453: case 2:
4454: /* matrix order */
4455: /* XXX */
4456: nd_dcomp = -1;
4457: nd_isrlex = 0;
4458: nd_matrix_len = ord->ord.matrix.row;
4459: nd_matrix = ord->ord.matrix.matrix;
4460: ndl_compare_function = ndl_matrix_compare;
4461: break;
4462: case 3:
4463: /* composite order */
4464: nd_dcomp = -1;
4465: nd_isrlex = 0;
4466: nd_worb_len = ord->ord.composite.length;
4467: nd_worb = ord->ord.composite.w_or_b;
4468: ndl_compare_function = ndl_composite_compare;
4469: break;
4470:
4471: /* module order */
4472: case 256:
1.160 noro 4473: nd_ispot = ord->ispot;
1.157 noro 4474: nd_dcomp = -1;
4475: switch ( ord->ord.simple ) {
4476: case 0:
1.164 ! noro 4477: nd_isrlex = 1;
1.157 noro 4478: ndl_compare_function = ndl_module_grlex_compare;
4479: break;
4480: case 1:
1.164 ! noro 4481: nd_isrlex = 0;
1.157 noro 4482: ndl_compare_function = ndl_module_glex_compare;
4483: break;
4484: case 2:
1.164 ! noro 4485: nd_isrlex = 0;
1.157 noro 4486: ndl_compare_function = ndl_module_lex_compare;
4487: break;
4488: default:
4489: error("nd_gr : unsupported order");
4490: }
4491: break;
4492: case 257:
4493: /* block order */
4494: ndl_compare_function = ndl_module_block_compare;
4495: break;
4496: case 258:
4497: /* matrix order */
4498: nd_matrix_len = ord->ord.matrix.row;
4499: nd_matrix = ord->ord.matrix.matrix;
4500: ndl_compare_function = ndl_module_matrix_compare;
4501: break;
4502: case 259:
4503: /* composite order */
4504: nd_worb_len = ord->ord.composite.length;
4505: nd_worb = ord->ord.composite.w_or_b;
4506: ndl_compare_function = ndl_module_composite_compare;
4507: break;
4508: }
4509: nd_ord = ord;
1.32 noro 4510: }
4511:
1.43 noro 4512: BlockMask nd_create_blockmask(struct order_spec *ord)
4513: {
1.157 noro 4514: int n,i,j,s,l;
4515: UINT *t;
4516: BlockMask bm;
4517:
4518: /* we only create mask table for block order */
1.164 ! noro 4519: if ( ord->id != 1 && ord->id != 257 )
1.157 noro 4520: return 0;
4521: n = ord->ord.block.length;
4522: bm = (BlockMask)MALLOC(sizeof(struct oBlockMask));
4523: bm->n = n;
4524: bm->order_pair = ord->ord.block.order_pair;
4525: bm->mask = (UINT **)MALLOC(n*sizeof(UINT *));
4526: for ( i = 0, s = 0; i < n; i++ ) {
4527: bm->mask[i] = t = (UINT *)MALLOC_ATOMIC(nd_wpd*sizeof(UINT));
4528: for ( j = 0; j < nd_wpd; j++ ) t[j] = 0;
4529: l = bm->order_pair[i].length;
4530: for ( j = 0; j < l; j++, s++ ) PUT_EXP(t,s,nd_mask0);
4531: }
4532: return bm;
1.57 noro 4533: }
4534:
4535: EPOS nd_create_epos(struct order_spec *ord)
4536: {
1.157 noro 4537: int i,j,l,s,ord_l,ord_o;
4538: EPOS epos;
4539: struct order_pair *op;
4540:
4541: epos = (EPOS)MALLOC_ATOMIC(nd_nvar*sizeof(struct oEPOS));
4542: switch ( ord->id ) {
1.164 ! noro 4543: case 0: case 256:
1.157 noro 4544: if ( nd_isrlex ) {
4545: for ( i = 0; i < nd_nvar; i++ ) {
4546: epos[i].i = nd_exporigin + (nd_nvar-1-i)/nd_epw;
4547: epos[i].s = (nd_epw-((nd_nvar-1-i)%nd_epw)-1)*nd_bpe;
4548: }
4549: } else {
4550: for ( i = 0; i < nd_nvar; i++ ) {
4551: epos[i].i = nd_exporigin + i/nd_epw;
4552: epos[i].s = (nd_epw-(i%nd_epw)-1)*nd_bpe;
4553: }
4554: }
4555: break;
1.164 ! noro 4556: case 1: case 257:
1.157 noro 4557: /* block order */
4558: l = ord->ord.block.length;
4559: op = ord->ord.block.order_pair;
4560: for ( j = 0, s = 0; j < l; j++ ) {
4561: ord_o = op[j].order;
4562: ord_l = op[j].length;
4563: if ( !ord_o )
4564: for ( i = 0; i < ord_l; i++ ) {
4565: epos[s+i].i = nd_exporigin + (s+ord_l-i-1)/nd_epw;
4566: epos[s+i].s = (nd_epw-((s+ord_l-i-1)%nd_epw)-1)*nd_bpe;
4567: }
4568: else
4569: for ( i = 0; i < ord_l; i++ ) {
4570: epos[s+i].i = nd_exporigin + (s+i)/nd_epw;
4571: epos[s+i].s = (nd_epw-((s+i)%nd_epw)-1)*nd_bpe;
4572: }
4573: s += ord_l;
4574: }
4575: break;
4576: case 2:
4577: /* matrix order */
4578: case 3:
4579: /* composite order */
4580: default:
4581: for ( i = 0; i < nd_nvar; i++ ) {
4582: epos[i].i = nd_exporigin + i/nd_epw;
4583: epos[i].s = (nd_epw-(i%nd_epw)-1)*nd_bpe;
4584: }
4585: break;
4586: }
4587: return epos;
1.43 noro 4588: }
1.59 noro 4589:
4590: /* external interface */
4591:
4592: void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec *ord,P *rp)
4593: {
1.157 noro 4594: NODE t,in0,in;
4595: ND nd,nf;
4596: NDV ndv;
4597: VL vv,tv;
4598: int stat,nvar,max,e;
4599: union oNDC dn;
4600: Q cont;
4601: P pp;
4602:
4603: if ( !f ) {
4604: *rp = 0;
4605: return;
4606: }
4607: pltovl(v,&vv);
4608: for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
4609:
4610: /* get the degree bound */
4611: for ( t = BDY(g), max = 0; t; t = NEXT(t) )
4612: for ( tv = vv; tv; tv = NEXT(tv) ) {
4613: e = getdeg(tv->v,(P)BDY(t));
4614: max = MAX(e,max);
4615: }
4616: for ( tv = vv; tv; tv = NEXT(tv) ) {
4617: e = getdeg(tv->v,f);
4618: max = MAX(e,max);
4619: }
4620:
4621: nd_init_ord(ord);
4622: nd_setup_parameters(nvar,max);
4623:
4624: /* conversion to ndv */
4625: for ( in0 = 0, t = BDY(g); t; t = NEXT(t) ) {
4626: NEXTNODE(in0,in);
4627: ptozp((P)BDY(t),1,&cont,&pp);
4628: BDY(in) = (pointer)ptondv(CO,vv,pp);
4629: if ( m ) ndv_mod(m,(NDV)BDY(in));
4630: }
4631: NEXTNODE(in0,in);
4632: BDY(in) = (pointer)ptondv(CO,vv,f);
4633: if ( m ) ndv_mod(m,(NDV)BDY(in));
4634: NEXT(in) = 0;
4635:
4636: /* dont sort, dont removecont */
4637: ndv_setup(m,0,in0,1,1);
4638: nd_psn--;
4639: nd_scale=2;
4640: while ( 1 ) {
4641: nd = (pointer)ndvtond(m,nd_ps[nd_psn]);
4642: stat = nd_nf(m,0,nd,nd_ps,1,0,&nf);
4643: if ( !stat ) {
4644: nd_psn++;
4645: nd_reconstruct(0,0);
4646: nd_psn--;
4647: } else
4648: break;
4649: }
4650: *rp = ndvtop(m,CO,vv,ndtondv(m,nf));
1.63 noro 4651: }
4652:
4653: int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r)
4654: {
1.157 noro 4655: NM m;
4656: UINT *t,*s;
4657: int i;
4658:
4659: for ( i = 0; i < n; i++ ) r[i] = 0;
4660: for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) {
4661: t = DL(m);
4662: for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );
4663: r[i] = CM(m);
4664: }
4665: for ( i = 0; !r[i]; i++ );
4666: return i;
1.63 noro 4667: }
4668:
1.113 noro 4669: int nd_to_vect_q(UINT *s0,int n,ND d,Q *r)
1.74 noro 4670: {
1.157 noro 4671: NM m;
4672: UINT *t,*s;
4673: int i;
4674:
4675: for ( i = 0; i < n; i++ ) r[i] = 0;
4676: for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) {
4677: t = DL(m);
4678: for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );
4679: r[i] = CQ(m);
4680: }
4681: for ( i = 0; !r[i]; i++ );
4682: return i;
1.74 noro 4683: }
4684:
1.129 noro 4685: Q *nm_ind_pair_to_vect(int mod,UINT *s0,int n,NM_ind_pair pair)
4686: {
1.157 noro 4687: NM m;
4688: NMV mr;
4689: UINT *d,*t,*s;
4690: NDV p;
4691: int i,j,len;
4692: Q *r;
4693:
4694: m = pair->mul;
4695: d = DL(m);
4696: p = nd_ps[pair->index];
4697: len = LEN(p);
4698: r = (Q *)CALLOC(n,sizeof(Q));
4699: t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
4700: for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) {
4701: ndl_add(d,DL(mr),t);
4702: for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );
4703: r[i] = CQ(mr);
4704: }
4705: return r;
1.129 noro 4706: }
4707:
1.67 noro 4708: IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0,int n,NM_ind_pair pair)
1.64 noro 4709: {
1.157 noro 4710: NM m;
4711: NMV mr;
4712: UINT *d,*t,*s;
4713: NDV p;
4714: unsigned char *ivc;
4715: unsigned short *ivs;
4716: UINT *v,*ivi,*s0v;
4717: int i,j,len,prev,diff,cdiff;
4718: IndArray r;
4719:
4720: m = pair->mul;
4721: d = DL(m);
4722: p = nd_ps[pair->index];
4723: len = LEN(p);
4724: t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
4725: v = (unsigned int *)ALLOCA(len*sizeof(unsigned int));
4726: for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) {
4727: ndl_add(d,DL(mr),t);
4728: for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );
4729: v[j] = i;
4730: }
4731: r = (IndArray)MALLOC(sizeof(struct oIndArray));
4732: r->head = v[0];
4733: diff = 0;
4734: for ( i = 1; i < len; i++ ) {
4735: cdiff = v[i]-v[i-1]; diff = MAX(cdiff,diff);
4736: }
4737: if ( diff < 256 ) {
4738: r->width = 1;
4739: ivc = (unsigned char *)MALLOC_ATOMIC(len*sizeof(unsigned char));
4740: r->index.c = ivc;
4741: for ( i = 1, ivc[0] = 0; i < len; i++ ) ivc[i] = v[i]-v[i-1];
4742: } else if ( diff < 65536 ) {
4743: r->width = 2;
4744: ivs = (unsigned short *)MALLOC_ATOMIC(len*sizeof(unsigned short));
4745: r->index.s = ivs;
4746: for ( i = 1, ivs[0] = 0; i < len; i++ ) ivs[i] = v[i]-v[i-1];
4747: } else {
4748: r->width = 4;
4749: ivi = (unsigned int *)MALLOC_ATOMIC(len*sizeof(unsigned int));
4750: r->index.i = ivi;
4751: for ( i = 1, ivi[0] = 0; i < len; i++ ) ivi[i] = v[i]-v[i-1];
4752: }
4753: return r;
1.64 noro 4754: }
4755:
1.135 noro 4756: int compress_array(Q *svect,Q *cvect,int n)
4757: {
1.157 noro 4758: int i,j;
1.135 noro 4759:
1.157 noro 4760: for ( i = j = 0; i < n; i++ )
4761: if ( svect[i] ) cvect[j++] = svect[i];
4762: return j;
1.135 noro 4763: }
4764:
4765: void expand_array(Q *svect,Q *cvect,int n)
4766: {
1.157 noro 4767: int i,j;
1.135 noro 4768:
1.157 noro 4769: for ( i = j = 0; j < n; i++ )
4770: if ( svect[i] ) svect[i] = cvect[j++];
1.135 noro 4771: }
4772:
1.133 noro 4773: int ndv_reduce_vect_q(Q *svect,int trace,int col,IndArray *imat,NM_ind_pair *rp0,int nred)
1.107 noro 4774: {
1.157 noro 4775: int i,j,k,len,pos,prev,nz;
4776: Q cs,mcs,c1,c2,cr,gcd,t;
4777: IndArray ivect;
4778: unsigned char *ivc;
4779: unsigned short *ivs;
4780: unsigned int *ivi;
4781: NDV redv;
4782: NMV mr;
4783: NODE rp;
4784: int maxrs;
4785: double hmag;
4786: Q *cvect;
4787:
4788: maxrs = 0;
4789: for ( i = 0; i < col && !svect[i]; i++ );
4790: if ( i == col ) return maxrs;
4791: hmag = p_mag((P)svect[i])*nd_scale;
4792: cvect = (Q *)ALLOCA(col*sizeof(Q));
4793: for ( i = 0; i < nred; i++ ) {
4794: ivect = imat[i];
4795: k = ivect->head;
4796: if ( svect[k] ) {
4797: maxrs = MAX(maxrs,rp0[i]->sugar);
4798: redv = trace?nd_ps_trace[rp0[i]->index]:nd_ps[rp0[i]->index];
4799: len = LEN(redv); mr = BDY(redv);
4800: igcd_cofactor(svect[k],CQ(mr),&gcd,&cs,&cr);
4801: chsgnq(cs,&mcs);
4802: if ( !UNIQ(cr) ) {
4803: for ( j = 0; j < col; j++ ) {
4804: mulq(svect[j],cr,&c1); svect[j] = c1;
4805: }
4806: }
4807: svect[k] = 0; prev = k;
4808: switch ( ivect->width ) {
4809: case 1:
4810: ivc = ivect->index.c;
4811: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
4812: pos = prev+ivc[j]; prev = pos;
4813: mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t;
4814: }
4815: break;
4816: case 2:
4817: ivs = ivect->index.s;
4818: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
4819: pos = prev+ivs[j]; prev = pos;
4820: mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t;
4821: }
4822: break;
4823: case 4:
4824: ivi = ivect->index.i;
4825: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
4826: pos = prev+ivi[j]; prev = pos;
4827: mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t;
4828: }
4829: break;
4830: }
4831: for ( j = k+1; j < col && !svect[j]; j++ );
4832: if ( j == col ) break;
4833: if ( hmag && ((double)p_mag((P)svect[j]) > hmag) ) {
4834: nz = compress_array(svect,cvect,col);
4835: removecont_array((P *)cvect,nz,1);
4836: expand_array(svect,cvect,nz);
4837: hmag = ((double)p_mag((P)svect[j]))*nd_scale;
4838: }
4839: }
4840: }
4841: nz = compress_array(svect,cvect,col);
4842: removecont_array((P *)cvect,nz,1);
4843: expand_array(svect,cvect,nz);
4844: if ( DP_Print ) {
4845: fprintf(asir_out,"-"); fflush(asir_out);
4846: }
4847: return maxrs;
1.107 noro 4848: }
4849:
1.76 noro 4850: int ndv_reduce_vect(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred)
1.65 noro 4851: {
1.157 noro 4852: int i,j,k,len,pos,prev;
4853: UINT c,c1,c2,c3,up,lo,dmy;
4854: IndArray ivect;
4855: unsigned char *ivc;
4856: unsigned short *ivs;
4857: unsigned int *ivi;
4858: NDV redv;
4859: NMV mr;
4860: NODE rp;
4861: int maxrs;
4862:
4863: maxrs = 0;
4864: for ( i = 0; i < nred; i++ ) {
4865: ivect = imat[i];
4866: k = ivect->head; svect[k] %= m;
4867: if ( c = svect[k] ) {
4868: maxrs = MAX(maxrs,rp0[i]->sugar);
4869: c = m-c; redv = nd_ps[rp0[i]->index];
4870: len = LEN(redv); mr = BDY(redv);
4871: svect[k] = 0; prev = k;
4872: switch ( ivect->width ) {
4873: case 1:
4874: ivc = ivect->index.c;
4875: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
4876: pos = prev+ivc[j]; c1 = CM(mr); c2 = svect[pos];
4877: prev = pos;
4878: DMA(c1,c,c2,up,lo);
4879: if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3;
4880: } else svect[pos] = lo;
4881: }
4882: break;
4883: case 2:
4884: ivs = ivect->index.s;
4885: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
4886: pos = prev+ivs[j]; c1 = CM(mr); c2 = svect[pos];
4887: prev = pos;
4888: DMA(c1,c,c2,up,lo);
4889: if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3;
4890: } else svect[pos] = lo;
4891: }
4892: break;
4893: case 4:
4894: ivi = ivect->index.i;
4895: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
4896: pos = prev+ivi[j]; c1 = CM(mr); c2 = svect[pos];
4897: prev = pos;
4898: DMA(c1,c,c2,up,lo);
4899: if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3;
4900: } else svect[pos] = lo;
4901: }
4902: break;
4903: }
4904: }
4905: }
4906: for ( i = 0; i < col; i++ )
4907: if ( svect[i] >= (UINT)m ) svect[i] %= m;
4908: return maxrs;
1.65 noro 4909: }
4910:
1.76 noro 4911: int ndv_reduce_vect_sf(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred)
1.72 noro 4912: {
1.157 noro 4913: int i,j,k,len,pos,prev;
4914: UINT c,c1,c2,c3,up,lo,dmy;
4915: IndArray ivect;
4916: unsigned char *ivc;
4917: unsigned short *ivs;
4918: unsigned int *ivi;
4919: NDV redv;
4920: NMV mr;
4921: NODE rp;
4922: int maxrs;
4923:
4924: maxrs = 0;
4925: for ( i = 0; i < nred; i++ ) {
4926: ivect = imat[i];
4927: k = ivect->head; svect[k] %= m;
4928: if ( c = svect[k] ) {
4929: maxrs = MAX(maxrs,rp0[i]->sugar);
4930: c = _chsgnsf(c); redv = nd_ps[rp0[i]->index];
4931: len = LEN(redv); mr = BDY(redv);
4932: svect[k] = 0; prev = k;
4933: switch ( ivect->width ) {
4934: case 1:
4935: ivc = ivect->index.c;
4936: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
4937: pos = prev+ivc[j]; prev = pos;
4938: svect[pos] = _addsf(_mulsf(CM(mr),c),svect[pos]);
4939: }
4940: break;
4941: case 2:
4942: ivs = ivect->index.s;
4943: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
4944: pos = prev+ivs[j]; prev = pos;
4945: svect[pos] = _addsf(_mulsf(CM(mr),c),svect[pos]);
4946: }
4947: break;
4948: case 4:
4949: ivi = ivect->index.i;
4950: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
4951: pos = prev+ivi[j]; prev = pos;
4952: svect[pos] = _addsf(_mulsf(CM(mr),c),svect[pos]);
4953: }
4954: break;
4955: }
4956: }
4957: }
4958: return maxrs;
1.72 noro 4959: }
4960:
1.65 noro 4961: NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhead,UINT *s0vect)
4962: {
1.157 noro 4963: int j,k,len;
4964: UINT *p;
4965: UINT c;
4966: NDV r;
4967: NMV mr0,mr;
4968:
4969: for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++;
4970: if ( !len ) return 0;
4971: else {
4972: mr0 = (NMV)GC_malloc_atomic_ignore_off_page(nmv_adv*len);
1.103 noro 4973: #if 0
1.157 noro 4974: ndv_alloc += nmv_adv*len;
1.103 noro 4975: #endif
1.157 noro 4976: mr = mr0;
4977: p = s0vect;
4978: for ( j = k = 0; j < col; j++, p += nd_wpd )
4979: if ( !rhead[j] ) {
4980: if ( c = vect[k++] ) {
4981: ndl_copy(p,DL(mr)); CM(mr) = c; NMV_ADV(mr);
4982: }
4983: }
4984: MKNDV(nd_nvar,mr0,len,r);
4985: return r;
4986: }
1.65 noro 4987: }
4988:
1.129 noro 4989: /* for preprocessed vector */
4990:
1.113 noro 4991: NDV vect_to_ndv_q(Q *vect,int spcol,int col,int *rhead,UINT *s0vect)
1.107 noro 4992: {
1.157 noro 4993: int j,k,len;
4994: UINT *p;
4995: Q c;
4996: NDV r;
4997: NMV mr0,mr;
4998:
4999: for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++;
5000: if ( !len ) return 0;
5001: else {
5002: mr0 = (NMV)GC_malloc(nmv_adv*len);
1.107 noro 5003: #if 0
1.157 noro 5004: ndv_alloc += nmv_adv*len;
1.107 noro 5005: #endif
1.157 noro 5006: mr = mr0;
5007: p = s0vect;
5008: for ( j = k = 0; j < col; j++, p += nd_wpd )
5009: if ( !rhead[j] ) {
5010: if ( c = vect[k++] ) {
5011: if ( DN(c) )
5012: error("afo");
5013: ndl_copy(p,DL(mr)); CQ(mr) = c; NMV_ADV(mr);
5014: }
5015: }
5016: MKNDV(nd_nvar,mr0,len,r);
5017: return r;
5018: }
1.107 noro 5019: }
5020:
1.129 noro 5021: /* for plain vector */
5022:
5023: NDV plain_vect_to_ndv_q(Q *vect,int col,UINT *s0vect)
5024: {
1.157 noro 5025: int j,k,len;
5026: UINT *p;
5027: Q c;
5028: NDV r;
5029: NMV mr0,mr;
5030:
5031: for ( j = 0, len = 0; j < col; j++ ) if ( vect[j] ) len++;
5032: if ( !len ) return 0;
5033: else {
5034: mr0 = (NMV)GC_malloc(nmv_adv*len);
1.129 noro 5035: #if 0
1.157 noro 5036: ndv_alloc += nmv_adv*len;
1.129 noro 5037: #endif
1.157 noro 5038: mr = mr0;
5039: p = s0vect;
5040: for ( j = k = 0; j < col; j++, p += nd_wpd, k++ )
5041: if ( c = vect[k] ) {
5042: if ( DN(c) )
5043: error("afo");
5044: ndl_copy(p,DL(mr)); CQ(mr) = c; NMV_ADV(mr);
5045: }
5046: MKNDV(nd_nvar,mr0,len,r);
5047: return r;
5048: }
1.129 noro 5049: }
5050:
1.133 noro 5051: int nd_sp_f4(int m,int trace,ND_pairs l,PGeoBucket bucket)
1.65 noro 5052: {
1.157 noro 5053: ND_pairs t;
5054: NODE sp0,sp;
5055: int stat;
5056: ND spol;
5057:
5058: for ( t = l; t; t = NEXT(t) ) {
5059: stat = nd_sp(m,trace,t,&spol);
5060: if ( !stat ) return 0;
5061: if ( spol ) {
5062: add_pbucket_symbolic(bucket,spol);
5063: }
5064: }
5065: return 1;
1.65 noro 5066: }
5067:
1.133 noro 5068: int nd_symbolic_preproc(PGeoBucket bucket,int trace,UINT **s0vect,NODE *r)
1.65 noro 5069: {
1.157 noro 5070: NODE rp0,rp;
5071: NM mul,head,s0,s;
5072: int index,col,i,sugar;
5073: RHist h;
5074: UINT *s0v,*p;
5075: NM_ind_pair pair;
5076: ND red;
5077: NDV *ps;
5078:
5079: s0 = 0; rp0 = 0; col = 0;
5080: ps = trace?nd_ps_trace:nd_ps;
5081: while ( 1 ) {
5082: head = remove_head_pbucket_symbolic(bucket);
5083: if ( !head ) break;
5084: if ( !s0 ) s0 = head;
5085: else NEXT(s) = head;
5086: s = head;
5087: index = ndl_find_reducer(DL(head));
5088: if ( index >= 0 ) {
5089: h = nd_psh[index];
5090: NEWNM(mul);
5091: ndl_sub(DL(head),DL(h),DL(mul));
5092: if ( ndl_check_bound2(index,DL(mul)) ) return 0;
5093: sugar = TD(DL(mul))+SG(ps[index]);
5094: MKNM_ind_pair(pair,mul,index,sugar);
5095: red = ndv_mul_nm_symbolic(mul,ps[index]);
5096: add_pbucket_symbolic(bucket,nd_remove_head(red));
5097: NEXTNODE(rp0,rp); BDY(rp) = (pointer)pair;
5098: }
5099: col++;
5100: }
5101: if ( rp0 ) NEXT(rp) = 0;
5102: NEXT(s) = 0;
5103: s0v = (UINT *)MALLOC_ATOMIC(col*nd_wpd*sizeof(UINT));
5104: for ( i = 0, p = s0v, s = s0; i < col;
5105: i++, p += nd_wpd, s = NEXT(s) ) ndl_copy(DL(s),p);
5106: *s0vect = s0v;
5107: *r = rp0;
5108: return col;
1.65 noro 5109: }
5110:
1.69 noro 5111: NODE nd_f4(int m)
5112: {
1.157 noro 5113: int i,nh,stat,index;
5114: NODE r,g;
5115: ND_pairs d,l,t;
5116: ND spol,red;
5117: NDV nf,redv;
5118: NM s0,s;
5119: NODE rp0,srp0,nflist;
5120: int nsp,nred,col,rank,len,k,j,a;
5121: UINT c;
5122: UINT **spmat;
5123: UINT *s0vect,*svect,*p,*v;
5124: int *colstat;
5125: IndArray *imat;
5126: int *rhead;
5127: int spcol,sprow;
5128: int sugar;
5129: PGeoBucket bucket;
5130: struct oEGT eg0,eg1,eg_f4;
1.69 noro 5131:
1.103 noro 5132: #if 0
1.157 noro 5133: ndv_alloc = 0;
1.103 noro 5134: #endif
1.157 noro 5135: g = 0; d = 0;
5136: for ( i = 0; i < nd_psn; i++ ) {
5137: d = update_pairs(d,g,i);
5138: g = update_base(g,i);
5139: }
5140: while ( d ) {
5141: get_eg(&eg0);
5142: l = nd_minsugarp(d,&d);
5143: sugar = SG(l);
5144: bucket = create_pbucket();
5145: stat = nd_sp_f4(m,0,l,bucket);
5146: if ( !stat ) {
5147: for ( t = l; NEXT(t); t = NEXT(t) );
5148: NEXT(t) = d; d = l;
5149: d = nd_reconstruct(0,d);
5150: continue;
5151: }
5152: if ( bucket->m < 0 ) continue;
5153: col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0);
5154: if ( !col ) {
5155: for ( t = l; NEXT(t); t = NEXT(t) );
5156: NEXT(t) = d; d = l;
5157: d = nd_reconstruct(0,d);
5158: continue;
5159: }
5160: get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1);
5161: if ( DP_Print )
5162: fprintf(asir_out,"sugar=%d,symb=%fsec,",
5163: sugar,eg_f4.exectime+eg_f4.gctime);
5164: if ( 1 )
5165: nflist = nd_f4_red(m,l,0,s0vect,col,rp0,0);
5166: else
5167: nflist = nd_f4_red_dist(m,l,s0vect,col,rp0,0);
5168: /* adding new bases */
5169: for ( r = nflist; r; r = NEXT(r) ) {
5170: nf = (NDV)BDY(r);
5171: ndv_removecont(m,nf);
5172: if ( !m && nd_nalg ) {
5173: ND nf1;
5174:
5175: nf1 = ndvtond(m,nf);
5176: nd_monic(0,&nf1);
5177: nd_removecont(m,nf1);
5178: nf = ndtondv(m,nf1);
5179: }
5180: nh = ndv_newps(m,nf,0);
5181: d = update_pairs(d,g,nh);
5182: g = update_base(g,nh);
5183: }
5184: }
1.159 noro 5185: for ( r = g; r; r = NEXT(r) ) BDY(r) = (pointer)nd_ps[(long)BDY(r)];
1.103 noro 5186: #if 0
1.157 noro 5187: fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc);
1.103 noro 5188: #endif
1.157 noro 5189: return g;
1.69 noro 5190: }
1.74 noro 5191:
1.133 noro 5192: NODE nd_f4_trace(int m)
5193: {
1.157 noro 5194: int i,nh,stat,index;
5195: NODE r,g;
5196: ND_pairs d,l,l0,t;
5197: ND spol,red;
5198: NDV nf,redv,nfqv,nfv;
5199: NM s0,s;
5200: NODE rp0,srp0,nflist;
5201: int nsp,nred,col,rank,len,k,j,a;
5202: UINT c;
5203: UINT **spmat;
5204: UINT *s0vect,*svect,*p,*v;
5205: int *colstat;
5206: IndArray *imat;
5207: int *rhead;
5208: int spcol,sprow;
5209: int sugar;
5210: PGeoBucket bucket;
5211: struct oEGT eg0,eg1,eg_f4;
5212:
5213: g = 0; d = 0;
5214: for ( i = 0; i < nd_psn; i++ ) {
5215: d = update_pairs(d,g,i);
5216: g = update_base(g,i);
5217: }
5218: while ( d ) {
5219: get_eg(&eg0);
5220: l = nd_minsugarp(d,&d);
5221: sugar = SG(l);
5222: bucket = create_pbucket();
5223: stat = nd_sp_f4(m,0,l,bucket);
5224: if ( !stat ) {
5225: for ( t = l; NEXT(t); t = NEXT(t) );
5226: NEXT(t) = d; d = l;
5227: d = nd_reconstruct(1,d);
5228: continue;
5229: }
5230: if ( bucket->m < 0 ) continue;
5231: col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0);
5232: if ( !col ) {
5233: for ( t = l; NEXT(t); t = NEXT(t) );
5234: NEXT(t) = d; d = l;
5235: d = nd_reconstruct(1,d);
5236: continue;
5237: }
5238: get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1);
5239: if ( DP_Print )
5240: fprintf(asir_out,"sugar=%d,symb=%fsec,",
5241: sugar,eg_f4.exectime+eg_f4.gctime);
5242: nflist = nd_f4_red(m,l,0,s0vect,col,rp0,&l0);
5243: if ( !l0 ) continue;
5244: l = l0;
5245:
5246: /* over Q */
5247: bucket = create_pbucket();
5248: stat = nd_sp_f4(0,1,l,bucket);
5249: if ( !stat ) {
5250: for ( t = l; NEXT(t); t = NEXT(t) );
5251: NEXT(t) = d; d = l;
5252: d = nd_reconstruct(1,d);
5253: continue;
5254: }
5255: if ( bucket->m < 0 ) continue;
5256: col = nd_symbolic_preproc(bucket,1,&s0vect,&rp0);
5257: if ( !col ) {
5258: for ( t = l; NEXT(t); t = NEXT(t) );
5259: NEXT(t) = d; d = l;
5260: d = nd_reconstruct(1,d);
5261: continue;
5262: }
5263: nflist = nd_f4_red(0,l,1,s0vect,col,rp0,0);
5264: /* adding new bases */
5265: for ( r = nflist; r; r = NEXT(r) ) {
5266: nfqv = (NDV)BDY(r);
5267: ndv_removecont(0,nfqv);
5268: if ( !rem(NM(HCQ(nfqv)),m) ) return 0;
5269: if ( nd_nalg ) {
5270: ND nf1;
5271:
5272: nf1 = ndvtond(m,nfqv);
5273: nd_monic(0,&nf1);
5274: nd_removecont(0,nf1);
5275: nfqv = ndtondv(0,nf1); nd_free(nf1);
5276: }
5277: nfv = ndv_dup(0,nfqv);
5278: ndv_mod(m,nfv);
5279: ndv_removecont(m,nfv);
5280: nh = ndv_newps(0,nfv,nfqv);
5281: d = update_pairs(d,g,nh);
5282: g = update_base(g,nh);
5283: }
5284: }
1.159 noro 5285: for ( r = g; r; r = NEXT(r) ) BDY(r) = (pointer)nd_ps_trace[(long)BDY(r)];
1.133 noro 5286: #if 0
1.157 noro 5287: fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc);
1.133 noro 5288: #endif
1.157 noro 5289: return g;
1.133 noro 5290: }
5291:
5292: NODE nd_f4_red(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,ND_pairs *nz)
1.63 noro 5293: {
1.157 noro 5294: IndArray *imat;
5295: int nsp,nred,i;
5296: int *rhead;
5297: NODE r0,rp;
5298: ND_pairs sp;
5299: NM_ind_pair *rvect;
5300:
5301: for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ );
5302: nred = length(rp0);
5303: imat = (IndArray *)ALLOCA(nred*sizeof(IndArray));
5304: rhead = (int *)ALLOCA(col*sizeof(int));
5305: for ( i = 0; i < col; i++ ) rhead[i] = 0;
5306:
5307: /* construction of index arrays */
5308: rvect = (NM_ind_pair *)ALLOCA(nred*sizeof(NM_ind_pair));
5309: for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) {
5310: rvect[i] = (NM_ind_pair)BDY(rp);
5311: imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,rvect[i]);
5312: rhead[imat[i]->head] = 1;
5313: }
5314: if ( m )
5315: r0 = nd_f4_red_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz);
5316: else
5317: r0 = nd_f4_red_q_main(sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred);
5318: return r0;
1.106 noro 5319: }
1.74 noro 5320:
1.106 noro 5321: NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col,
1.133 noro 5322: NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz)
1.106 noro 5323: {
1.157 noro 5324: int spcol,sprow,a;
5325: int i,j,k,l,rank;
5326: NODE r0,r;
5327: ND_pairs sp;
5328: ND spol;
5329: int **spmat;
5330: UINT *svect,*v;
5331: int *colstat;
5332: struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2;
5333: int maxrs;
5334: int *spsugar;
5335: ND_pairs *spactive;
5336:
5337: spcol = col-nred;
5338: get_eg(&eg0);
5339: /* elimination (1st step) */
5340: spmat = (int **)ALLOCA(nsp*sizeof(UINT *));
5341: svect = (UINT *)ALLOCA(col*sizeof(UINT));
5342: spsugar = (int *)ALLOCA(nsp*sizeof(UINT));
5343: spactive = !nz?0:(ND_pairs *)ALLOCA(nsp*sizeof(ND_pairs));
5344: for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) {
5345: nd_sp(m,0,sp,&spol);
5346: if ( !spol ) continue;
5347: nd_to_vect(m,s0vect,col,spol,svect);
5348: if ( m == -1 )
5349: maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rvect,nred);
5350: else
5351: maxrs = ndv_reduce_vect(m,svect,col,imat,rvect,nred);
5352: for ( i = 0; i < col; i++ ) if ( svect[i] ) break;
5353: if ( i < col ) {
5354: spmat[sprow] = v = (UINT *)MALLOC_ATOMIC(spcol*sizeof(UINT));
5355: for ( j = k = 0; j < col; j++ )
5356: if ( !rhead[j] ) v[k++] = svect[j];
5357: spsugar[sprow] = MAX(maxrs,SG(spol));
5358: if ( nz )
5359: spactive[sprow] = sp;
5360: sprow++;
5361: }
5362: nd_free(spol);
5363: }
5364: get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1);
5365: if ( DP_Print ) {
5366: fprintf(asir_out,"elim1=%fsec,",eg_f4_1.exectime+eg_f4_1.gctime);
5367: fflush(asir_out);
5368: }
5369: /* free index arrays */
5370: for ( i = 0; i < nred; i++ ) GC_free(imat[i]->index.c);
5371:
5372: /* elimination (2nd step) */
5373: colstat = (int *)ALLOCA(spcol*sizeof(int));
5374: if ( m == -1 )
5375: rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat);
5376: else
5377: rank = nd_gauss_elim_mod(spmat,spsugar,spactive,sprow,spcol,m,colstat);
5378: r0 = 0;
5379: for ( i = 0; i < rank; i++ ) {
5380: NEXTNODE(r0,r); BDY(r) =
5381: (pointer)vect_to_ndv(spmat[i],spcol,col,rhead,s0vect);
5382: SG((NDV)BDY(r)) = spsugar[i];
5383: GC_free(spmat[i]);
5384: }
5385: if ( r0 ) NEXT(r) = 0;
5386:
5387: for ( ; i < sprow; i++ ) GC_free(spmat[i]);
5388: get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2);
5389: init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2);
5390: if ( DP_Print ) {
5391: fprintf(asir_out,"elim2=%fsec\n",eg_f4_2.exectime+eg_f4_2.gctime);
5392: fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",
5393: nsp,nred,sprow,spcol,rank);
5394: fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime);
5395: }
5396: if ( nz ) {
5397: for ( i = 0; i < rank-1; i++ ) NEXT(spactive[i]) = spactive[i+1];
5398: if ( rank > 0 ) {
5399: NEXT(spactive[rank-1]) = 0;
5400: *nz = spactive[0];
5401: } else
5402: *nz = 0;
5403: }
5404: return r0;
1.74 noro 5405: }
5406:
1.133 noro 5407: #if 1
5408: NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,int trace,UINT *s0vect,int col,
1.107 noro 5409: NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred)
5410: {
1.157 noro 5411: int spcol,sprow,a;
5412: int i,j,k,l,rank;
5413: NODE r0,r;
5414: ND_pairs sp;
5415: ND spol;
5416: Q **spmat;
5417: Q *svect,*v;
5418: int *colstat;
5419: struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2;
5420: int maxrs;
5421: int *spsugar;
5422: pointer *w;
5423:
5424: spcol = col-nred;
5425: get_eg(&eg0);
5426: /* elimination (1st step) */
5427: spmat = (Q **)ALLOCA(nsp*sizeof(Q *));
5428: svect = (Q *)ALLOCA(col*sizeof(Q));
5429: spsugar = (int *)ALLOCA(nsp*sizeof(Q));
5430: for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) {
5431: nd_sp(0,trace,sp,&spol);
5432: if ( !spol ) continue;
5433: nd_to_vect_q(s0vect,col,spol,svect);
5434: maxrs = ndv_reduce_vect_q(svect,trace,col,imat,rvect,nred);
5435: for ( i = 0; i < col; i++ ) if ( svect[i] ) break;
5436: if ( i < col ) {
5437: spmat[sprow] = v = (Q *)MALLOC(spcol*sizeof(Q));
5438: for ( j = k = 0; j < col; j++ )
5439: if ( !rhead[j] ) v[k++] = svect[j];
5440: spsugar[sprow] = MAX(maxrs,SG(spol));
5441: sprow++;
5442: }
5443: /* nd_free(spol); */
5444: }
5445: get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1);
5446: if ( DP_Print ) {
5447: fprintf(asir_out,"elim1=%fsec,",eg_f4_1.exectime+eg_f4_1.gctime);
5448: fflush(asir_out);
5449: }
5450: /* free index arrays */
5451: /* for ( i = 0; i < nred; i++ ) GC_free(imat[i]->index.c); */
5452:
5453: /* elimination (2nd step) */
5454: colstat = (int *)ALLOCA(spcol*sizeof(int));
5455: rank = nd_gauss_elim_q(spmat,spsugar,sprow,spcol,colstat);
5456: w = (pointer *)ALLOCA(rank*sizeof(pointer));
5457: for ( i = 0; i < rank; i++ ) {
5458: w[rank-i-1] = (pointer)vect_to_ndv_q(spmat[i],spcol,col,rhead,s0vect);
5459: SG((NDV)w[rank-i-1]) = spsugar[i];
5460: /* GC_free(spmat[i]); */
5461: }
1.138 noro 5462: #if 0
1.157 noro 5463: qsort(w,rank,sizeof(NDV),
5464: (int (*)(const void *,const void *))ndv_compare);
1.137 noro 5465: #endif
1.157 noro 5466: r0 = 0;
5467: for ( i = 0; i < rank; i++ ) {
5468: NEXTNODE(r0,r); BDY(r) = w[i];
5469: }
5470: if ( r0 ) NEXT(r) = 0;
5471:
5472: /* for ( ; i < sprow; i++ ) GC_free(spmat[i]); */
5473: get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2);
5474: init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2);
5475: if ( DP_Print ) {
5476: fprintf(asir_out,"elim2=%fsec\n",eg_f4_2.exectime+eg_f4_2.gctime);
5477: fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",
5478: nsp,nred,sprow,spcol,rank);
5479: fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime);
5480: }
5481: return r0;
1.107 noro 5482: }
1.129 noro 5483: #else
5484: void printm(Q **mat,int row,int col)
5485: {
1.157 noro 5486: int i,j;
5487: printf("[");
5488: for ( i = 0; i < row; i++ ) {
5489: for ( j = 0; j < col; j++ ) {
5490: printexpr(CO,mat[i][j]); printf(" ");
5491: }
5492: printf("]\n");
5493: }
1.129 noro 5494: }
5495:
5496: NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vect,int col,
5497: NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred)
5498: {
1.157 noro 5499: int row,a;
5500: int i,j,rank;
5501: NODE r0,r;
5502: ND_pairs sp;
5503: ND spol;
5504: Q **mat;
5505: int *colstat;
5506: int *sugar;
5507:
5508: row = nsp+nred;
5509: /* make the matrix */
5510: mat = (Q **)ALLOCA(row*sizeof(Q *));
5511: sugar = (int *)ALLOCA(row*sizeof(int));
5512: for ( row = a = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) {
5513: nd_sp(0,0,sp,&spol);
5514: if ( !spol ) continue;
5515: mat[row] = (Q *)MALLOC(col*sizeof(Q));
5516: nd_to_vect_q(s0vect,col,spol,mat[row]);
5517: sugar[row] = SG(spol);
5518: row++;
5519: }
5520: for ( i = 0; i < nred; i++, row++ ) {
5521: mat[row] = nm_ind_pair_to_vect(0,s0vect,col,rvect[i]);
5522: sugar[row] = rvect[i]->sugar;
5523: }
5524: /* elimination */
5525: colstat = (int *)ALLOCA(col*sizeof(int));
5526: rank = nd_gauss_elim_q(mat,sugar,row,col,colstat);
5527: r0 = 0;
5528: for ( i = 0; i < rank; i++ ) {
5529: for ( j = 0; j < col; j++ ) if ( mat[i][j] ) break;
5530: if ( j == col ) error("nd_f4_red_q_main : cannot happen");
5531: if ( rhead[j] ) continue;
5532: NEXTNODE(r0,r); BDY(r) =
5533: (pointer)plain_vect_to_ndv_q(mat[i],col,s0vect);
5534: SG((NDV)BDY(r)) = sugar[i];
5535: }
5536: if ( r0 ) NEXT(r) = 0;
5537: printf("\n");
5538: return r0;
1.129 noro 5539: }
5540: #endif
1.107 noro 5541:
1.74 noro 5542: FILE *nd_write,*nd_read;
5543:
5544: void nd_send_int(int a) {
1.157 noro 5545: write_int(nd_write,&a);
1.74 noro 5546: }
5547:
5548: void nd_send_intarray(int *p,int len) {
1.157 noro 5549: write_intarray(nd_write,p,len);
1.74 noro 5550: }
5551:
5552: int nd_recv_int() {
1.157 noro 5553: int a;
1.74 noro 5554:
1.157 noro 5555: read_int(nd_read,&a);
5556: return a;
1.74 noro 5557: }
5558:
5559: void nd_recv_intarray(int *p,int len) {
1.157 noro 5560: read_intarray(nd_read,p,len);
1.74 noro 5561: }
5562:
5563: void nd_send_ndv(NDV p) {
1.157 noro 5564: int len,i;
5565: NMV m;
1.74 noro 5566:
1.157 noro 5567: if ( !p ) nd_send_int(0);
5568: else {
5569: len = LEN(p);
5570: nd_send_int(len);
5571: m = BDY(p);
5572: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
5573: nd_send_int(CM(m));
5574: nd_send_intarray(DL(m),nd_wpd);
5575: }
5576: }
1.74 noro 5577: }
5578:
5579: void nd_send_nd(ND p) {
1.157 noro 5580: int len,i;
5581: NM m;
1.74 noro 5582:
1.157 noro 5583: if ( !p ) nd_send_int(0);
5584: else {
5585: len = LEN(p);
5586: nd_send_int(len);
5587: m = BDY(p);
5588: for ( i = 0; i < len; i++, m = NEXT(m) ) {
5589: nd_send_int(CM(m));
5590: nd_send_intarray(DL(m),nd_wpd);
5591: }
5592: }
1.74 noro 5593: }
1.65 noro 5594:
1.74 noro 5595: NDV nd_recv_ndv()
5596: {
1.157 noro 5597: int len,i;
5598: NMV m,m0;
5599: NDV r;
5600:
5601: len = nd_recv_int();
5602: if ( !len ) return 0;
5603: else {
5604: m0 = m = (NMV)GC_malloc_atomic_ignore_off_page(nmv_adv*len);
1.103 noro 5605: #if 0
1.157 noro 5606: ndv_alloc += len*nmv_adv;
1.103 noro 5607: #endif
1.157 noro 5608: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
5609: CM(m) = nd_recv_int();
5610: nd_recv_intarray(DL(m),nd_wpd);
5611: }
5612: MKNDV(nd_nvar,m0,len,r);
5613: return r;
5614: }
1.74 noro 5615: }
1.65 noro 5616:
1.74 noro 5617: int ox_exec_f4_red(Q proc)
5618: {
1.157 noro 5619: Obj obj;
5620: STRING fname;
5621: NODE arg;
5622: int s;
5623: extern int ox_need_conv,ox_file_io;
5624:
5625: MKSTR(fname,"nd_exec_f4_red");
5626: arg = mknode(2,proc,fname);
5627: Pox_cmo_rpc(arg,&obj);
5628: s = get_ox_server_id(QTOS(proc));
5629: nd_write = iofp[s].out;
5630: nd_read = iofp[s].in;
5631: ox_need_conv = ox_file_io = 0;
5632: return s;
1.74 noro 5633: }
5634:
1.133 noro 5635: NODE nd_f4_red_dist(int m,ND_pairs sp0,UINT *s0vect,int col,NODE rp0,ND_pairs *nz)
1.74 noro 5636: {
1.157 noro 5637: int nsp,nred;
5638: int i,rank,s;
5639: NODE rp,r0,r;
5640: ND_pairs sp;
5641: NM_ind_pair pair;
5642: NMV nmv;
5643: NM nm;
5644: NDV nf;
5645: Obj proc,dmy;
5646:
5647: ox_launch_main(0,0,&proc);
5648: s = ox_exec_f4_red((Q)proc);
5649:
5650: nd_send_int(m);
5651: nd_send_int(nd_nvar);
5652: nd_send_int(nd_bpe);
5653: nd_send_int(nd_wpd);
5654: nd_send_int(nmv_adv);
5655:
5656: saveobj(nd_write,dp_current_spec->obj); fflush(nd_write);
5657:
5658: nd_send_int(nd_psn);
5659: for ( i = 0; i < nd_psn; i++ ) nd_send_ndv(nd_ps[i]);
5660:
5661: for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ );
5662: nd_send_int(nsp);
5663: for ( i = 0, sp = sp0; i < nsp; i++, sp = NEXT(sp) ) {
5664: nd_send_int(sp->i1); nd_send_int(sp->i2);
5665: }
5666:
5667: nd_send_int(col); nd_send_intarray(s0vect,col*nd_wpd);
5668:
5669: nred = length(rp0); nd_send_int(nred);
5670: for ( i = 0, rp = rp0; i < nred; i++, rp = NEXT(rp) ) {
5671: pair = (NM_ind_pair)BDY(rp);
5672: nd_send_int(pair->index);
5673: nd_send_intarray(pair->mul->dl,nd_wpd);
5674: }
5675: fflush(nd_write);
5676: rank = nd_recv_int();
5677: fprintf(asir_out,"rank=%d\n",rank);
5678: r0 = 0;
5679: for ( i = 0; i < rank; i++ ) {
5680: nf = nd_recv_ndv();
5681: NEXTNODE(r0,r); BDY(r) = (pointer)nf;
5682: }
5683: Pox_shutdown(mknode(1,proc),&dmy);
5684: return r0;
1.74 noro 5685: }
5686:
5687: /* server side */
5688:
5689: void nd_exec_f4_red_dist()
5690: {
1.157 noro 5691: int m,i,nsp,col,s0size,nred,spcol,j,k;
5692: NM_ind_pair *rp0;
5693: NDV nf;
5694: UINT *s0vect;
5695: IndArray *imat;
5696: int *rhead;
5697: int **spmat;
5698: UINT *svect,*v;
5699: ND_pairs *sp0;
5700: int *colstat;
5701: int a,sprow,rank;
5702: struct order_spec *ord;
5703: Obj ordspec;
5704: ND spol;
5705: int maxrs;
5706: int *spsugar;
5707:
5708: nd_read = iofp[0].in;
5709: nd_write = iofp[0].out;
5710: m = nd_recv_int();
5711: nd_nvar = nd_recv_int();
5712: nd_bpe = nd_recv_int();
5713: nd_wpd = nd_recv_int();
5714: nmv_adv = nd_recv_int();
5715:
5716: loadobj(nd_read,&ordspec);
5717: create_order_spec(0,ordspec,&ord);
5718: nd_init_ord(ord);
5719: nd_setup_parameters(nd_nvar,0);
5720:
5721: nd_psn = nd_recv_int();
5722: nd_ps = (NDV *)MALLOC(nd_psn*sizeof(NDV));
5723: nd_bound = (UINT **)MALLOC(nd_psn*sizeof(UINT *));
5724: for ( i = 0; i < nd_psn; i++ ) {
5725: nd_ps[i] = nd_recv_ndv();
5726: nd_bound[i] = ndv_compute_bound(nd_ps[i]);
5727: }
5728:
5729: nsp = nd_recv_int();
5730: sp0 = (ND_pairs *)MALLOC(nsp*sizeof(ND_pairs));
5731: for ( i = 0; i < nsp; i++ ) {
5732: NEWND_pairs(sp0[i]);
5733: sp0[i]->i1 = nd_recv_int(); sp0[i]->i2 = nd_recv_int();
5734: ndl_lcm(HDL(nd_ps[sp0[i]->i1]),HDL(nd_ps[sp0[i]->i2]),LCM(sp0[i]));
5735: }
5736:
5737: col = nd_recv_int();
5738: s0size = col*nd_wpd;
5739: s0vect = (UINT *)MALLOC(s0size*sizeof(UINT));
5740: nd_recv_intarray(s0vect,s0size);
5741:
5742: nred = nd_recv_int();
5743: rp0 = (NM_ind_pair *)MALLOC(nred*sizeof(NM_ind_pair));
5744: for ( i = 0; i < nred; i++ ) {
5745: rp0[i] = (NM_ind_pair)MALLOC(sizeof(struct oNM_ind_pair));
5746: rp0[i]->index = nd_recv_int();
5747: rp0[i]->mul = (NM)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
5748: nd_recv_intarray(rp0[i]->mul->dl,nd_wpd);
5749: }
5750:
5751: spcol = col-nred;
5752: imat = (IndArray *)MALLOC(nred*sizeof(IndArray));
5753: rhead = (int *)MALLOC(col*sizeof(int));
5754: for ( i = 0; i < col; i++ ) rhead[i] = 0;
5755:
5756: /* construction of index arrays */
5757: for ( i = 0; i < nred; i++ ) {
5758: imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,rp0[i]);
5759: rhead[imat[i]->head] = 1;
5760: }
5761:
5762: /* elimination (1st step) */
5763: spmat = (int **)MALLOC(nsp*sizeof(UINT *));
5764: svect = (UINT *)MALLOC(col*sizeof(UINT));
5765: spsugar = (int *)ALLOCA(nsp*sizeof(UINT));
5766: for ( a = sprow = 0; a < nsp; a++ ) {
5767: nd_sp(m,0,sp0[a],&spol);
5768: if ( !spol ) continue;
5769: nd_to_vect(m,s0vect,col,spol,svect);
5770: if ( m == -1 )
5771: maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rp0,nred);
5772: else
5773: maxrs = ndv_reduce_vect(m,svect,col,imat,rp0,nred);
5774: for ( i = 0; i < col; i++ ) if ( svect[i] ) break;
5775: if ( i < col ) {
5776: spmat[sprow] = v = (UINT *)MALLOC(spcol*sizeof(UINT));
5777: for ( j = k = 0; j < col; j++ )
5778: if ( !rhead[j] ) v[k++] = svect[j];
5779: spsugar[sprow] = MAX(maxrs,SG(spol));
5780: sprow++;
5781: }
5782: nd_free(spol);
5783: }
5784: /* elimination (2nd step) */
5785: colstat = (int *)ALLOCA(spcol*sizeof(int));
5786: if ( m == -1 )
5787: rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat);
5788: else
5789: rank = nd_gauss_elim_mod(spmat,spsugar,0,sprow,spcol,m,colstat);
5790: nd_send_int(rank);
5791: for ( i = 0; i < rank; i++ ) {
5792: nf = vect_to_ndv(spmat[i],spcol,col,rhead,s0vect);
5793: nd_send_ndv(nf);
5794: }
5795: fflush(nd_write);
1.107 noro 5796: }
5797:
1.113 noro 5798: int nd_gauss_elim_q(Q **mat0,int *sugar,int row,int col,int *colstat)
1.107 noro 5799: {
1.157 noro 5800: int mod,i,j,t,c,rank,rank0,inv;
5801: int *ci,*ri;
5802: Q dn;
5803: MAT m,nm;
5804: int **wmat;
5805:
5806: /* XXX */
5807: mod = 99999989;
5808: wmat = (int **)ALLOCA(row*sizeof(int *));
5809: for ( i = 0; i < row; i++ ) {
5810: wmat[i] = (int *)ALLOCA(col*sizeof(int));
5811: for ( j = 0; j < col; j++ ) {
5812: if ( mat0[i][j] ) {
5813: t = rem(NM(mat0[i][j]),mod);
5814: if ( SGN(mat0[i][j]) < 0 ) t = mod-t;
5815: wmat[i][j] = t;
5816: } else
5817: wmat[i][j] = 0;
5818: }
5819: }
5820: rank0 = nd_gauss_elim_mod(wmat,sugar,0,row,col,mod,colstat);
5821: NEWMAT(m); m->row = row; m->col = col; m->body = (pointer **)mat0;
5822: rank = generic_gauss_elim(m,&nm,&dn,&ri,&ci);
5823: if ( rank != rank0 )
5824: error("afo");
5825: for ( i = 0; i < row; i++ )
5826: for ( j = 0; j < col; j++ )
5827: mat0[i][j] = 0;
5828: c = col-rank;
5829: for ( i = 0; i < rank; i++ ) {
5830: mat0[i][ri[i]] = dn;
5831: for ( j = 0; j < c; j++ )
5832: mat0[i][ci[j]] = (Q)BDY(nm)[i][j];
5833: }
5834: inv = invm(rem(NM(dn),mod),mod);
5835: if ( SGN(dn) < 0 ) inv = mod-inv;
5836: for ( i = 0; i < row; i++ )
5837: for ( j = 0; j < col; j++ ) {
5838: if ( mat0[i][j] ) {
5839: t = rem(NM(mat0[i][j]),mod);
5840: if ( SGN(mat0[i][j]) < 0 ) t = mod-t;
5841: } else
5842: t = 0;
5843: c = dmar(t,inv,0,mod);
5844: if ( wmat[i][j] != c )
5845: error("afo");
5846: }
5847: return rank;
1.76 noro 5848: }
5849:
1.133 noro 5850: int nd_gauss_elim_mod(int **mat0,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat)
1.76 noro 5851: {
1.157 noro 5852: int i,j,k,l,inv,a,rank,s;
5853: unsigned int *t,*pivot,*pk;
5854: unsigned int **mat;
5855: ND_pairs pair;
5856:
5857: mat = (unsigned int **)mat0;
5858: for ( rank = 0, j = 0; j < col; j++ ) {
5859: for ( i = rank; i < row; i++ )
5860: mat[i][j] %= md;
5861: for ( i = rank; i < row; i++ )
5862: if ( mat[i][j] )
5863: break;
5864: if ( i == row ) {
5865: colstat[j] = 0;
5866: continue;
5867: } else
5868: colstat[j] = 1;
5869: if ( i != rank ) {
5870: t = mat[i]; mat[i] = mat[rank]; mat[rank] = t;
5871: s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s;
5872: if ( spactive ) {
5873: pair = spactive[i]; spactive[i] = spactive[rank];
5874: spactive[rank] = pair;
5875: }
5876: }
5877: pivot = mat[rank];
5878: s = sugar[rank];
5879: inv = invm(pivot[j],md);
5880: for ( k = j, pk = pivot+k; k < col; k++, pk++ )
5881: if ( *pk ) {
5882: if ( *pk >= (unsigned int)md )
5883: *pk %= md;
5884: DMAR(*pk,inv,0,md,*pk)
5885: }
5886: for ( i = rank+1; i < row; i++ ) {
5887: t = mat[i];
5888: if ( a = t[j] ) {
5889: sugar[i] = MAX(sugar[i],s);
5890: red_by_vect(md,t+j,pivot+j,md-a,col-j);
5891: }
5892: }
5893: rank++;
5894: }
5895: for ( j = col-1, l = rank-1; j >= 0; j-- )
5896: if ( colstat[j] ) {
5897: pivot = mat[l];
5898: s = sugar[l];
5899: for ( i = 0; i < l; i++ ) {
5900: t = mat[i];
5901: t[j] %= md;
5902: if ( a = t[j] ) {
5903: sugar[i] = MAX(sugar[i],s);
5904: red_by_vect(md,t+j,pivot+j,md-a,col-j);
5905: }
5906: }
5907: l--;
5908: }
5909: for ( j = 0, l = 0; l < rank; j++ )
5910: if ( colstat[j] ) {
5911: t = mat[l];
5912: for ( k = j; k < col; k++ )
5913: if ( t[k] >= (unsigned int)md )
5914: t[k] %= md;
5915: l++;
5916: }
5917: return rank;
1.76 noro 5918: }
5919:
5920: int nd_gauss_elim_sf(int **mat0,int *sugar,int row,int col,int md,int *colstat)
5921: {
1.157 noro 5922: int i,j,k,l,inv,a,rank,s;
5923: unsigned int *t,*pivot,*pk;
5924: unsigned int **mat;
5925:
5926: mat = (unsigned int **)mat0;
5927: for ( rank = 0, j = 0; j < col; j++ ) {
5928: for ( i = rank; i < row; i++ )
5929: if ( mat[i][j] )
5930: break;
5931: if ( i == row ) {
5932: colstat[j] = 0;
5933: continue;
5934: } else
5935: colstat[j] = 1;
5936: if ( i != rank ) {
5937: t = mat[i]; mat[i] = mat[rank]; mat[rank] = t;
5938: s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s;
5939: }
5940: pivot = mat[rank];
5941: s = sugar[rank];
5942: inv = _invsf(pivot[j]);
5943: for ( k = j, pk = pivot+k; k < col; k++, pk++ )
5944: if ( *pk )
5945: *pk = _mulsf(*pk,inv);
5946: for ( i = rank+1; i < row; i++ ) {
5947: t = mat[i];
5948: if ( a = t[j] ) {
5949: sugar[i] = MAX(sugar[i],s);
5950: red_by_vect_sf(md,t+j,pivot+j,_chsgnsf(a),col-j);
5951: }
5952: }
5953: rank++;
5954: }
5955: for ( j = col-1, l = rank-1; j >= 0; j-- )
5956: if ( colstat[j] ) {
5957: pivot = mat[l];
5958: s = sugar[l];
5959: for ( i = 0; i < l; i++ ) {
5960: t = mat[i];
5961: if ( a = t[j] ) {
5962: sugar[i] = MAX(sugar[i],s);
5963: red_by_vect_sf(md,t+j,pivot+j,_chsgnsf(a),col-j);
5964: }
5965: }
5966: l--;
5967: }
5968: return rank;
1.77 noro 5969: }
5970:
5971: int ndv_ishomo(NDV p)
5972: {
1.157 noro 5973: NMV m;
5974: int len,h;
1.77 noro 5975:
1.157 noro 5976: if ( !p ) return 1;
5977: len = LEN(p);
5978: m = BDY(p);
5979: h = TD(DL(m));
5980: NMV_ADV(m);
5981: for ( len--; len; len--, NMV_ADV(m) )
5982: if ( TD(DL(m)) != h ) return 0;
5983: return 1;
1.77 noro 5984: }
5985:
5986: void ndv_save(NDV p,int index)
5987: {
1.157 noro 5988: FILE *s;
5989: char name[BUFSIZ];
5990: short id;
5991: int nv,sugar,len,n,i,td,e,j;
5992: NMV m;
5993: unsigned int *dl;
5994: int mpos;
5995:
5996: sprintf(name,"%s/%d",Demand,index);
5997: s = fopen(name,"w");
5998: savevl(s,0);
5999: if ( !p ) {
6000: saveobj(s,0);
6001: return;
6002: }
6003: id = O_DP;
6004: nv = NV(p);
6005: sugar = SG(p);
6006: len = LEN(p);
6007: write_short(s,&id); write_int(s,&nv); write_int(s,&sugar);
6008: write_int(s,&len);
6009:
6010: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
6011: saveobj(s,(Obj)CQ(m));
6012: dl = DL(m);
6013: td = TD(dl);
6014: write_int(s,&td);
6015: for ( j = 0; j < nv; j++ ) {
6016: e = GET_EXP(dl,j);
6017: write_int(s,&e);
6018: }
6019: if ( nd_module ) {
6020: mpos = MPOS(dl); write_int(s,&mpos);
6021: }
6022: }
6023: fclose(s);
1.77 noro 6024: }
6025:
6026: NDV ndv_load(int index)
6027: {
1.157 noro 6028: FILE *s;
6029: char name[BUFSIZ];
6030: short id;
6031: int nv,sugar,len,n,i,td,e,j;
6032: NDV d;
6033: NMV m0,m;
6034: unsigned int *dl;
6035: Obj obj;
6036: int mpos;
6037:
6038: sprintf(name,"%s/%d",Demand,index);
6039: s = fopen(name,"r");
6040: if ( !s ) return 0;
6041:
6042: skipvl(s);
6043: read_short(s,&id);
6044: if ( !id ) return 0;
6045: read_int(s,&nv);
6046: read_int(s,&sugar);
6047: read_int(s,&len);
6048:
6049: m0 = m = MALLOC(len*nmv_adv);
6050: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
6051: loadobj(s,&obj); CQ(m) = (Q)obj;
6052: dl = DL(m);
6053: ndl_zero(dl);
6054: read_int(s,&td); TD(dl) = td;
6055: for ( j = 0; j < nv; j++ ) {
6056: read_int(s,&e);
6057: PUT_EXP(dl,j,e);
6058: }
6059: if ( nd_module ) {
6060: read_int(s,&mpos); MPOS(dl) = mpos;
6061: }
6062: if ( nd_blockmask ) ndl_weight_mask(dl);
6063: }
6064: fclose(s);
6065: MKNDV(nv,m0,len,d);
6066: SG(d) = sugar;
6067: return d;
1.99 noro 6068: }
6069:
1.102 noro 6070: void nd_det(int mod,MAT f,P *rp)
1.99 noro 6071: {
1.157 noro 6072: VL fv,tv;
6073: int n,i,j,max,e,nvar,sgn,k0,l0,len0,len,k,l,a;
6074: pointer **m;
6075: Q mone;
6076: P **w;
6077: P mp,r;
6078: NDV **dm;
6079: NDV *t,*mi,*mj;
6080: NDV d,s,mij,mjj;
6081: ND u;
6082: NMV nmv;
6083: UINT *bound;
6084: PGeoBucket bucket;
6085: struct order_spec *ord;
6086: Q dq,dt,ds;
6087: N gn,qn,dn0,nm,dn;
6088:
6089: create_order_spec(0,0,&ord);
6090: nd_init_ord(ord);
6091: get_vars((Obj)f,&fv);
6092: if ( f->row != f->col )
6093: error("nd_det : non-square matrix");
6094: n = f->row;
6095: m = f->body;
6096: for ( nvar = 0, tv = fv; tv; tv = NEXT(tv), nvar++ );
6097:
6098: if ( !nvar ) {
6099: if ( !mod )
6100: detp(CO,(P **)m,n,rp);
6101: else {
6102: w = (P **)almat_pointer(n,n);
6103: for ( i = 0; i < n; i++ )
6104: for ( j = 0; j < n; j++ )
6105: ptomp(mod,(P)m[i][j],&w[i][j]);
6106: detmp(CO,mod,w,n,&mp);
6107: mptop(mp,rp);
6108: }
6109: return;
6110: }
6111:
6112: if ( !mod ) {
6113: w = (P **)almat_pointer(n,n);
6114: dq = ONE;
6115: for ( i = 0; i < n; i++ ) {
6116: dn0 = ONEN;
6117: for ( j = 0; j < n; j++ ) {
6118: if ( !m[i][j] ) continue;
6119: lgp(m[i][j],&nm,&dn);
6120: gcdn(dn0,dn,&gn); divsn(dn0,gn,&qn); muln(qn,dn,&dn0);
6121: }
6122: if ( !UNIN(dn0) ) {
6123: NTOQ(dn0,1,ds);
6124: for ( j = 0; j < n; j++ )
6125: mulp(CO,(P)m[i][j],(P)ds,&w[i][j]);
6126: mulq(dq,ds,&dt); dq = dt;
6127: } else
6128: for ( j = 0; j < n; j++ )
6129: w[i][j] = (P)m[i][j];
6130: }
6131: m = (pointer **)w;
6132: }
6133:
6134: for ( i = 0, max = 0; i < n; i++ )
6135: for ( j = 0; j < n; j++ )
6136: for ( tv = fv; tv; tv = NEXT(tv) ) {
6137: e = getdeg(tv->v,(P)m[i][j]);
6138: max = MAX(e,max);
6139: }
6140: nd_setup_parameters(nvar,max);
6141: dm = (NDV **)almat_pointer(n,n);
6142: for ( i = 0, max = 0; i < n; i++ )
6143: for ( j = 0; j < n; j++ ) {
6144: dm[i][j] = ptondv(CO,fv,m[i][j]);
6145: if ( mod ) ndv_mod(mod,dm[i][j]);
6146: if ( dm[i][j] && !LEN(dm[i][j]) ) dm[i][j] = 0;
6147: }
6148: d = ptondv(CO,fv,(P)ONE);
6149: if ( mod ) ndv_mod(mod,d);
6150: chsgnq(ONE,&mone);
6151: for ( j = 0, sgn = 1; j < n; j++ ) {
6152: if ( DP_Print ) fprintf(stderr,".",j);
6153: for ( i = j; i < n && !dm[i][j]; i++ );
6154: if ( i == n ) {
6155: *rp = 0;
6156: return;
6157: }
6158: k0 = i; l0 = j; len0 = LEN(dm[k0][l0]);
6159: for ( k = j; k < n; k++ )
6160: for ( l = j; l < n; l++ )
6161: if ( dm[k][l] && LEN(dm[k][l]) < len0 ) {
6162: k0 = k; l0 = l; len0 = LEN(dm[k][l]);
6163: }
6164: if ( k0 != j ) {
6165: t = dm[j]; dm[j] = dm[k0]; dm[k0] = t;
6166: sgn = -sgn;
6167: }
6168: if ( l0 != j ) {
6169: for ( k = j; k < n; k++ ) {
6170: s = dm[k][j]; dm[k][j] = dm[k][l0]; dm[k][l0] = s;
6171: }
6172: sgn = -sgn;
6173: }
6174: bound = nd_det_compute_bound(dm,n,j);
6175: for ( k = 0; k < nd_nvar; k++ )
6176: if ( bound[k]*2 > nd_mask0 ) break;
6177: if ( k < nd_nvar )
6178: nd_det_reconstruct(dm,n,j,d);
6179:
6180: for ( i = j+1, mj = dm[j], mjj = mj[j]; i < n; i++ ) {
6181: /* if ( DP_Print ) fprintf(stderr," i=%d\n ",i); */
6182: mi = dm[i]; mij = mi[j];
6183: if ( mod )
6184: ndv_mul_c(mod,mij,mod-1);
6185: else
6186: ndv_mul_c_q(mij,mone);
6187: for ( k = j+1; k < n; k++ ) {
6188: /* if ( DP_Print ) fprintf(stderr,"k=%d ",k); */
6189: bucket = create_pbucket();
6190: if ( mi[k] ) {
6191: nmv = BDY(mjj); len = LEN(mjj);
6192: for ( a = 0; a < len; a++, NMV_ADV(nmv) ) {
6193: u = ndv_mul_nmv_trunc(mod,nmv,mi[k],DL(BDY(d)));
6194: add_pbucket(mod,bucket,u);
6195: }
6196: }
6197: if ( mj[k] && mij ) {
6198: nmv = BDY(mij); len = LEN(mij);
6199: for ( a = 0; a < len; a++, NMV_ADV(nmv) ) {
6200: u = ndv_mul_nmv_trunc(mod,nmv,mj[k],DL(BDY(d)));
6201: add_pbucket(mod,bucket,u);
6202: }
6203: }
6204: u = nd_quo(mod,bucket,d);
6205: mi[k] = ndtondv(mod,u);
6206: }
6207: /* if ( DP_Print ) fprintf(stderr,"\n",k); */
6208: }
6209: d = mjj;
6210: }
6211: if ( DP_Print ) fprintf(stderr,"\n",k);
6212: if ( sgn < 0 )
6213: if ( mod )
6214: ndv_mul_c(mod,d,mod-1);
6215: else
6216: ndv_mul_c_q(d,mone);
6217: r = ndvtop(mod,CO,fv,d);
6218: if ( !mod && !UNIQ(dq) )
6219: divsp(CO,r,(P)dq,rp);
6220: else
6221: *rp = r;
1.99 noro 6222: }
6223:
1.102 noro 6224: ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d)
1.99 noro 6225: {
1.157 noro 6226: NM mr,mr0;
6227: NM tnm;
6228: NMV m;
6229: UINT *d0,*dt,*dm;
6230: int c,n,td,i,c1,c2,len;
6231: Q q;
6232: ND r;
6233:
6234: if ( !p ) return 0;
6235: else {
6236: n = NV(p); m = BDY(p); len = LEN(p);
6237: d0 = DL(m0);
6238: td = TD(d);
6239: mr0 = 0;
6240: NEWNM(tnm);
6241: if ( mod ) {
6242: c = CM(m0);
6243: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
6244: ndl_add(DL(m),d0,DL(tnm));
6245: if ( ndl_reducible(DL(tnm),d) ) {
6246: NEXTNM(mr0,mr);
6247: c1 = CM(m); DMAR(c1,c,0,mod,c2); CM(mr) = c2;
6248: ndl_copy(DL(tnm),DL(mr));
6249: }
6250: }
6251: } else {
6252: q = CQ(m0);
6253: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
6254: ndl_add(DL(m),d0,DL(tnm));
6255: if ( ndl_reducible(DL(tnm),d) ) {
6256: NEXTNM(mr0,mr);
6257: mulq(CQ(m),q,&CQ(mr));
6258: ndl_copy(DL(tnm),DL(mr));
6259: }
6260: }
6261: }
6262: if ( !mr0 )
6263: return 0;
6264: else {
6265: NEXT(mr) = 0;
6266: for ( len = 0, mr = mr0; mr; mr = NEXT(mr), len++ );
6267: MKND(NV(p),mr0,len,r);
6268: SG(r) = SG(p) + TD(d0);
6269: return r;
6270: }
6271: }
1.114 noro 6272: }
6273:
6274: void nd_det_reconstruct(NDV **dm,int n,int j,NDV d)
6275: {
1.157 noro 6276: int i,obpe,oadv,h,k,l;
6277: static NM prev_nm_free_list;
6278: EPOS oepos;
6279:
6280: obpe = nd_bpe;
6281: oadv = nmv_adv;
6282: oepos = nd_epos;
6283: if ( obpe < 2 ) nd_bpe = 2;
6284: else if ( obpe < 3 ) nd_bpe = 3;
6285: else if ( obpe < 4 ) nd_bpe = 4;
6286: else if ( obpe < 5 ) nd_bpe = 5;
6287: else if ( obpe < 6 ) nd_bpe = 6;
6288: else if ( obpe < 8 ) nd_bpe = 8;
6289: else if ( obpe < 10 ) nd_bpe = 10;
6290: else if ( obpe < 16 ) nd_bpe = 16;
6291: else if ( obpe < 32 ) nd_bpe = 32;
6292: else error("nd_det_reconstruct : exponent too large");
6293:
6294: nd_setup_parameters(nd_nvar,0);
6295: prev_nm_free_list = _nm_free_list;
6296: _nm_free_list = 0;
6297: for ( k = j; k < n; k++ )
6298: for (l = j; l < n; l++ )
6299: ndv_realloc(dm[k][l],obpe,oadv,oepos);
6300: ndv_realloc(d,obpe,oadv,oepos);
6301: prev_nm_free_list = 0;
1.114 noro 6302: #if 0
1.157 noro 6303: GC_gcollect();
1.114 noro 6304: #endif
6305: }
6306:
1.153 noro 6307: /* returns a UINT array containing degree bounds */
6308:
1.114 noro 6309: UINT *nd_det_compute_bound(NDV **dm,int n,int j)
6310: {
1.157 noro 6311: UINT *d0,*d1,*d,*t,*r;
6312: int k,l,i;
1.114 noro 6313:
1.157 noro 6314: d0 = (UINT *)MALLOC(nd_nvar*sizeof(UINT));
6315: for ( k = 0; k < nd_nvar; k++ ) d0[k] = 0;
6316: for ( k = j; k < n; k++ )
6317: for ( l = j; l < n; l++ )
6318: if ( dm[k][l] ) {
6319: d = ndv_compute_bound(dm[k][l]);
6320: for ( i = 0; i < nd_nvar; i++ )
6321: d0[i] = MAX(d0[i],d[i]);
6322: }
6323: return d0;
1.117 noro 6324: }
6325:
6326: DL nd_separate_d(UINT *d,UINT *trans)
6327: {
1.157 noro 6328: int n,td,i,e,j;
6329: DL a;
1.117 noro 6330:
1.157 noro 6331: ndl_zero(trans);
6332: td = 0;
6333: for ( i = 0; i < nd_ntrans; i++ ) {
6334: e = GET_EXP(d,i);
6335: PUT_EXP(trans,i,e);
6336: td += MUL_WEIGHT(e,i);
6337: }
6338: if ( nd_ntrans+nd_nalg < nd_nvar ) {
6339: /* homogenized */
6340: i = nd_nvar-1;
6341: e = GET_EXP(d,i);
6342: PUT_EXP(trans,i,e);
6343: td += MUL_WEIGHT(e,i);
6344: }
6345: TD(trans) = td;
6346: if ( nd_blockmask) ndl_weight_mask(trans);
6347: NEWDL(a,nd_nalg);
6348: td = 0;
6349: for ( i = 0; i < nd_nalg; i++ ) {
6350: j = nd_ntrans+i;
6351: e = GET_EXP(d,j);
6352: a->d[i] = e;
6353: td += e;
6354: }
6355: a->td = td;
6356: return a;
1.117 noro 6357: }
6358:
1.118 noro 6359: int nd_monic(int mod,ND *p)
1.117 noro 6360: {
1.157 noro 6361: UINT *trans,*t;
6362: DL alg;
6363: MP mp0,mp;
6364: NM m,m0,m1,ma0,ma,mb,mr0,mr;
6365: ND r;
6366: DL dl;
6367: DP nm;
6368: NDV ndv;
6369: DAlg inv,cd;
6370: ND s,c;
6371: Q l,mul;
6372: N ln;
6373: int n,ntrans,i,e,td,is_lc,len;
6374: NumberField nf;
6375: struct oEGT eg0,eg1;
6376:
6377: if ( !(nf = get_numberfield()) )
6378: error("nd_monic : current_numberfield is not set");
6379:
6380: /* Q coef -> DAlg coef */
6381: NEWNM(ma0); ma = ma0;
6382: m = BDY(*p);
6383: is_lc = 1;
6384: while ( 1 ) {
6385: NEWMP(mp0); mp = mp0;
6386: mp->c = (P)CQ(m);
6387: mp->dl = nd_separate_d(DL(m),DL(ma));
6388: NEWNM(mb);
6389: for ( m = NEXT(m); m; m = NEXT(m) ) {
6390: alg = nd_separate_d(DL(m),DL(mb));
6391: if ( !ndl_equal(DL(ma),DL(mb)) )
6392: break;
6393: NEXTMP(mp0,mp); mp->c = (P)CQ(m); mp->dl = alg;
6394: }
6395: NEXT(mp) = 0;
6396: MKDP(nd_nalg,mp0,nm);
6397: MKDAlg(nm,ONE,cd);
6398: if ( is_lc == 1 ) {
6399: /* if the lc is a rational number, we have nothing to do */
6400: if ( !mp0->dl->td )
6401: return 1;
6402:
6403: get_eg(&eg0);
6404: invdalg(cd,&inv);
6405: get_eg(&eg1); add_eg(&eg_invdalg,&eg0,&eg1);
6406: /* check the validity of inv */
6407: if ( mod && !rem(NM(inv->dn),mod) )
6408: return 0;
6409: CA(ma) = nf->one;
6410: is_lc = 0;
6411: ln = ONEN;
6412: } else {
6413: muldalg(cd,inv,&CA(ma));
6414: lcmn(ln,NM(CA(ma)->dn),&ln);
6415: }
6416: if ( m ) {
6417: NEXT(ma) = mb; ma = mb;
6418: } else {
6419: NEXT(ma) = 0;
6420: break;
6421: }
6422: }
6423: /* l = lcm(denoms) */
6424: NTOQ(ln,1,l);
6425: for ( mr0 = 0, m = ma0; m; m = NEXT(m) ) {
6426: divq(l,CA(m)->dn,&mul);
6427: for ( mp = BDY(CA(m)->nm); mp; mp = NEXT(mp) ) {
6428: NEXTNM(mr0,mr);
6429: mulq((Q)mp->c,mul,&CQ(mr));
6430: dl = mp->dl;
6431: td = TD(DL(m));
6432: ndl_copy(DL(m),DL(mr));
6433: for ( i = 0; i < nd_nalg; i++ ) {
6434: e = dl->d[i];
6435: PUT_EXP(DL(mr),i+nd_ntrans,e);
6436: td += MUL_WEIGHT(e,i+nd_ntrans);
6437: }
1.163 noro 6438: if ( nd_module ) MPOS(DL(mr)) = MPOS(DL(m));
1.157 noro 6439: TD(DL(mr)) = td;
6440: if ( nd_blockmask) ndl_weight_mask(DL(mr));
6441: }
6442: }
6443: NEXT(mr) = 0;
6444: for ( len = 0, mr = mr0; mr; mr = NEXT(mr), len++ );
6445: MKND(NV(*p),mr0,len,r);
6446: /* XXX */
6447: SG(r) = SG(*p);
6448: nd_free(*p);
6449: *p = r;
6450: return 1;
1.59 noro 6451: }
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