Annotation of OpenXM_contrib2/asir2000/engine/nd.c, Revision 1.200
1.200 ! noro 1: /* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.199 2012/08/27 05:38:00 noro Exp $ */
1.2 noro 2:
1.94 noro 3: #include "nd.h"
1.63 noro 4:
1.198 noro 5: struct oEGT eg_search;
6:
1.131 noro 7: int diag_period = 6;
1.61 noro 8: int (*ndl_compare_function)(UINT *a1,UINT *a2);
1.94 noro 9: int nd_dcomp;
10: NM _nm_free_list;
11: ND _nd_free_list;
12: ND_pairs _ndp_free_list;
1.150 noro 13: NODE nd_hcf;
1.32 noro 14:
1.146 noro 15: static NODE nd_subst;
16: static VL nd_vc;
1.121 noro 17: static int nd_ntrans;
1.117 noro 18: static int nd_nalg;
1.103 noro 19: #if 0
1.74 noro 20: static int ndv_alloc;
1.103 noro 21: #endif
1.87 noro 22: #if 1
1.69 noro 23: static int nd_f4_nsp=0x7fffffff;
1.87 noro 24: #else
25: static int nd_f4_nsp=50;
26: #endif
1.42 noro 27: static double nd_scale=2;
1.61 noro 28: static UINT **nd_bound;
1.42 noro 29: static struct order_spec *nd_ord;
30: static EPOS nd_epos;
1.43 noro 31: static BlockMask nd_blockmask;
1.42 noro 32: static int nd_nvar;
33: static int nd_isrlex;
34: static int nd_epw,nd_bpe,nd_wpd,nd_exporigin;
1.61 noro 35: static UINT nd_mask[32];
36: static UINT nd_mask0,nd_mask1;
1.42 noro 37:
1.20 noro 38: static NDV *nd_ps;
1.53 noro 39: static NDV *nd_ps_trace;
1.42 noro 40: static RHist *nd_psh;
41: static int nd_psn,nd_pslen;
42: static RHist *nd_red;
1.96 noro 43: static int *nd_work_vector;
44: static int **nd_matrix;
45: static int nd_matrix_len;
1.97 noro 46: static struct weight_or_block *nd_worb;
47: static int nd_worb_len;
1.42 noro 48: static int nd_found,nd_create,nd_notfirst;
49: static int nmv_adv;
1.77 noro 50: static int nd_demand;
1.174 noro 51: static int nd_module,nd_ispot,nd_mpos,nd_pot_nelim;
1.167 noro 52: static NODE nd_tracelist;
53: static NODE nd_alltracelist;
1.195 noro 54: static int nd_gentrace,nd_gensyz,nd_nora,nd_newelim,nd_intersect;
1.187 noro 55: static int *nd_gbblock;
1.1 noro 56:
1.119 noro 57: NumberField get_numberfield();
1.114 noro 58: UINT *nd_det_compute_bound(NDV **dm,int n,int j);
59: void nd_det_reconstruct(NDV **dm,int n,int j,NDV d);
1.152 ohara 60: void nd_heu_nezgcdnpz(VL vl,P *pl,int m,int full,P *pr);
1.118 noro 61: int nd_monic(int m,ND *p);
1.129 noro 62: NDV plain_vect_to_ndv_q(Q *mat,int col,UINT *s0vect);
1.157 noro 63: LIST ndvtopl(int mod,VL vl,VL dvl,NDV p,int rank);
64: NDV pltondv(VL vl,VL dvl,LIST p);
65: void pltozpl(LIST l,Q *cont,LIST *pp);
1.159 noro 66: void ndl_max(UINT *d1,unsigned *d2,UINT *d);
1.167 noro 67: void nmtodp(int mod,NM m,DP *r);
68: NODE reverse_node(NODE n);
69: P ndc_div(int mod,union oNDC a,union oNDC b);
70: P ndctop(int mod,union oNDC c);
71: void finalize_tracelist(int i,P cont);
72: void conv_ilist(int demand,int trace,NODE g,int **indp);
1.172 noro 73: void parse_nd_option(NODE opt);
1.198 noro 74: void dltondl(int n,DL dl,UINT *r);
75: DP ndvtodp(int mod,NDV p);
1.114 noro 76:
1.149 noro 77: extern int Denominator,DP_Multiple;
78:
1.1 noro 79: void nd_free_private_storage()
80: {
1.157 noro 81: _nm_free_list = 0;
82: _ndp_free_list = 0;
1.71 noro 83: #if 0
1.157 noro 84: GC_gcollect();
1.71 noro 85: #endif
1.1 noro 86: }
87:
88: void _NM_alloc()
89: {
1.157 noro 90: NM p;
91: int i;
1.1 noro 92:
1.157 noro 93: for ( i = 0; i < 1024; i++ ) {
1.200 ! noro 94: p = (NM)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
1.157 noro 95: p->next = _nm_free_list; _nm_free_list = p;
96: }
1.1 noro 97: }
98:
99: void _ND_alloc()
100: {
1.157 noro 101: ND p;
102: int i;
1.1 noro 103:
1.157 noro 104: for ( i = 0; i < 1024; i++ ) {
1.200 ! noro 105: p = (ND)MALLOC(sizeof(struct oND));
1.157 noro 106: p->body = (NM)_nd_free_list; _nd_free_list = p;
107: }
1.1 noro 108: }
109:
110: void _NDP_alloc()
111: {
1.157 noro 112: ND_pairs p;
113: int i;
1.1 noro 114:
1.157 noro 115: for ( i = 0; i < 1024; i++ ) {
1.200 ! noro 116: p = (ND_pairs)MALLOC(sizeof(struct oND_pairs)
1.157 noro 117: +(nd_wpd-1)*sizeof(UINT));
118: p->next = _ndp_free_list; _ndp_free_list = p;
119: }
1.1 noro 120: }
121:
1.30 noro 122: INLINE int nd_length(ND p)
1.1 noro 123: {
1.157 noro 124: NM m;
125: int i;
1.1 noro 126:
1.157 noro 127: if ( !p )
128: return 0;
129: else {
130: for ( i = 0, m = BDY(p); m; m = NEXT(m), i++ );
131: return i;
132: }
1.1 noro 133: }
134:
1.61 noro 135: INLINE int ndl_reducible(UINT *d1,UINT *d2)
1.1 noro 136: {
1.157 noro 137: UINT u1,u2;
138: int i,j;
1.1 noro 139:
1.157 noro 140: if ( nd_module && (MPOS(d1) != MPOS(d2)) ) return 0;
141:
142: if ( TD(d1) < TD(d2) ) return 0;
1.65 noro 143: #if USE_UNROLL
1.157 noro 144: switch ( nd_bpe ) {
145: case 3:
146: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
147: u1 = d1[i]; u2 = d2[i];
148: if ( (u1&0x38000000) < (u2&0x38000000) ) return 0;
149: if ( (u1& 0x7000000) < (u2& 0x7000000) ) return 0;
150: if ( (u1& 0xe00000) < (u2& 0xe00000) ) return 0;
151: if ( (u1& 0x1c0000) < (u2& 0x1c0000) ) return 0;
152: if ( (u1& 0x38000) < (u2& 0x38000) ) return 0;
153: if ( (u1& 0x7000) < (u2& 0x7000) ) return 0;
154: if ( (u1& 0xe00) < (u2& 0xe00) ) return 0;
155: if ( (u1& 0x1c0) < (u2& 0x1c0) ) return 0;
156: if ( (u1& 0x38) < (u2& 0x38) ) return 0;
157: if ( (u1& 0x7) < (u2& 0x7) ) return 0;
158: }
159: return 1;
160: break;
161: case 4:
162: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
163: u1 = d1[i]; u2 = d2[i];
164: if ( (u1&0xf0000000) < (u2&0xf0000000) ) return 0;
165: if ( (u1& 0xf000000) < (u2& 0xf000000) ) return 0;
166: if ( (u1& 0xf00000) < (u2& 0xf00000) ) return 0;
167: if ( (u1& 0xf0000) < (u2& 0xf0000) ) return 0;
168: if ( (u1& 0xf000) < (u2& 0xf000) ) return 0;
169: if ( (u1& 0xf00) < (u2& 0xf00) ) return 0;
170: if ( (u1& 0xf0) < (u2& 0xf0) ) return 0;
171: if ( (u1& 0xf) < (u2& 0xf) ) return 0;
172: }
173: return 1;
174: break;
175: case 6:
176: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
177: u1 = d1[i]; u2 = d2[i];
178: if ( (u1&0x3f000000) < (u2&0x3f000000) ) return 0;
179: if ( (u1& 0xfc0000) < (u2& 0xfc0000) ) return 0;
180: if ( (u1& 0x3f000) < (u2& 0x3f000) ) return 0;
181: if ( (u1& 0xfc0) < (u2& 0xfc0) ) return 0;
182: if ( (u1& 0x3f) < (u2& 0x3f) ) return 0;
183: }
184: return 1;
185: break;
186: case 8:
187: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
188: u1 = d1[i]; u2 = d2[i];
189: if ( (u1&0xff000000) < (u2&0xff000000) ) return 0;
190: if ( (u1& 0xff0000) < (u2& 0xff0000) ) return 0;
191: if ( (u1& 0xff00) < (u2& 0xff00) ) return 0;
192: if ( (u1& 0xff) < (u2& 0xff) ) return 0;
193: }
194: return 1;
195: break;
196: case 16:
197: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
198: u1 = d1[i]; u2 = d2[i];
199: if ( (u1&0xffff0000) < (u2&0xffff0000) ) return 0;
200: if ( (u1& 0xffff) < (u2& 0xffff) ) return 0;
201: }
202: return 1;
203: break;
204: case 32:
205: for ( i = nd_exporigin; i < nd_wpd; i++ )
206: if ( d1[i] < d2[i] ) return 0;
207: return 1;
208: break;
209: default:
210: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
211: u1 = d1[i]; u2 = d2[i];
212: for ( j = 0; j < nd_epw; j++ )
213: if ( (u1&nd_mask[j]) < (u2&nd_mask[j]) ) return 0;
214: }
215: return 1;
216: }
1.65 noro 217: #else
1.157 noro 218: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
219: u1 = d1[i]; u2 = d2[i];
220: for ( j = 0; j < nd_epw; j++ )
221: if ( (u1&nd_mask[j]) < (u2&nd_mask[j]) ) return 0;
222: }
223: return 1;
1.65 noro 224: #endif
1.1 noro 225: }
226:
1.61 noro 227: /*
228: * If the current order is a block order,
229: * then the last block is length 1 and contains
230: * the homo variable. Otherwise, the original
231: * order is either 0 or 2.
232: */
233:
1.164 noro 234: void ndl_homogenize(UINT *d,UINT *r,int obpe,EPOS oepos,int ompos,int weight)
1.23 noro 235: {
1.157 noro 236: int w,i,e,n,omask0;
1.61 noro 237:
1.157 noro 238: omask0 = obpe==32?0xffffffff:((1<<obpe)-1);
239: n = nd_nvar-1;
240: ndl_zero(r);
241: for ( i = 0; i < n; i++ ) {
242: e = GET_EXP_OLD(d,i);
243: PUT_EXP(r,i,e);
244: }
245: w = TD(d);
246: PUT_EXP(r,nd_nvar-1,weight-w);
1.164 noro 247: if ( nd_module ) MPOS(r) = d[ompos];
1.157 noro 248: TD(r) = weight;
249: if ( nd_blockmask ) ndl_weight_mask(r);
1.61 noro 250: }
251:
252: void ndl_dehomogenize(UINT *d)
253: {
1.157 noro 254: UINT mask;
255: UINT h;
256: int i,bits;
257:
258: if ( nd_blockmask ) {
259: h = GET_EXP(d,nd_nvar-1);
260: XOR_EXP(d,nd_nvar-1,h);
261: TD(d) -= h;
262: ndl_weight_mask(d);
263: } else {
264: if ( nd_isrlex ) {
265: if ( nd_bpe == 32 ) {
266: h = d[nd_exporigin];
267: for ( i = nd_exporigin+1; i < nd_wpd; i++ )
268: d[i-1] = d[i];
269: d[i-1] = 0;
270: TD(d) -= h;
271: } else {
272: bits = nd_epw*nd_bpe;
273: mask = bits==32?0xffffffff:((1<<(nd_epw*nd_bpe))-1);
274: h = (d[nd_exporigin]>>((nd_epw-1)*nd_bpe))&nd_mask0;
275: for ( i = nd_exporigin; i < nd_wpd; i++ )
276: d[i] = ((d[i]<<nd_bpe)&mask)
277: |(i+1<nd_wpd?((d[i+1]>>((nd_epw-1)*nd_bpe))&nd_mask0):0);
278: TD(d) -= h;
279: }
280: } else {
281: h = GET_EXP(d,nd_nvar-1);
282: XOR_EXP(d,nd_nvar-1,h);
283: TD(d) -= h;
284: }
285: }
1.23 noro 286: }
287:
1.61 noro 288: void ndl_lcm(UINT *d1,unsigned *d2,UINT *d)
1.1 noro 289: {
1.157 noro 290: UINT t1,t2,u,u1,u2;
291: int i,j,l;
292:
293: if ( nd_module && (MPOS(d1) != MPOS(d2)) )
294: error("ndl_lcm : inconsistent monomials");
295: #if USE_UNROLL
296: switch ( nd_bpe ) {
297: case 3:
298: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
299: u1 = d1[i]; u2 = d2[i];
300: t1 = (u1&0x38000000); t2 = (u2&0x38000000); u = t1>t2?t1:t2;
301: t1 = (u1& 0x7000000); t2 = (u2& 0x7000000); u |= t1>t2?t1:t2;
302: t1 = (u1& 0xe00000); t2 = (u2& 0xe00000); u |= t1>t2?t1:t2;
303: t1 = (u1& 0x1c0000); t2 = (u2& 0x1c0000); u |= t1>t2?t1:t2;
304: t1 = (u1& 0x38000); t2 = (u2& 0x38000); u |= t1>t2?t1:t2;
305: t1 = (u1& 0x7000); t2 = (u2& 0x7000); u |= t1>t2?t1:t2;
306: t1 = (u1& 0xe00); t2 = (u2& 0xe00); u |= t1>t2?t1:t2;
307: t1 = (u1& 0x1c0); t2 = (u2& 0x1c0); u |= t1>t2?t1:t2;
308: t1 = (u1& 0x38); t2 = (u2& 0x38); u |= t1>t2?t1:t2;
309: t1 = (u1& 0x7); t2 = (u2& 0x7); u |= t1>t2?t1:t2;
310: d[i] = u;
311: }
312: break;
313: case 4:
314: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
315: u1 = d1[i]; u2 = d2[i];
316: t1 = (u1&0xf0000000); t2 = (u2&0xf0000000); u = t1>t2?t1:t2;
317: t1 = (u1& 0xf000000); t2 = (u2& 0xf000000); u |= t1>t2?t1:t2;
318: t1 = (u1& 0xf00000); t2 = (u2& 0xf00000); u |= t1>t2?t1:t2;
319: t1 = (u1& 0xf0000); t2 = (u2& 0xf0000); u |= t1>t2?t1:t2;
320: t1 = (u1& 0xf000); t2 = (u2& 0xf000); u |= t1>t2?t1:t2;
321: t1 = (u1& 0xf00); t2 = (u2& 0xf00); u |= t1>t2?t1:t2;
322: t1 = (u1& 0xf0); t2 = (u2& 0xf0); u |= t1>t2?t1:t2;
323: t1 = (u1& 0xf); t2 = (u2& 0xf); u |= t1>t2?t1:t2;
324: d[i] = u;
325: }
326: break;
327: case 6:
328: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
329: u1 = d1[i]; u2 = d2[i];
330: t1 = (u1&0x3f000000); t2 = (u2&0x3f000000); u = t1>t2?t1:t2;
331: t1 = (u1& 0xfc0000); t2 = (u2& 0xfc0000); u |= t1>t2?t1:t2;
332: t1 = (u1& 0x3f000); t2 = (u2& 0x3f000); u |= t1>t2?t1:t2;
333: t1 = (u1& 0xfc0); t2 = (u2& 0xfc0); u |= t1>t2?t1:t2;
334: t1 = (u1& 0x3f); t2 = (u2& 0x3f); u |= t1>t2?t1:t2;
335: d[i] = u;
336: }
337: break;
338: case 8:
339: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
340: u1 = d1[i]; u2 = d2[i];
341: t1 = (u1&0xff000000); t2 = (u2&0xff000000); u = t1>t2?t1:t2;
342: t1 = (u1& 0xff0000); t2 = (u2& 0xff0000); u |= t1>t2?t1:t2;
343: t1 = (u1& 0xff00); t2 = (u2& 0xff00); u |= t1>t2?t1:t2;
344: t1 = (u1& 0xff); t2 = (u2& 0xff); u |= t1>t2?t1:t2;
345: d[i] = u;
346: }
347: break;
348: case 16:
349: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
350: u1 = d1[i]; u2 = d2[i];
351: t1 = (u1&0xffff0000); t2 = (u2&0xffff0000); u = t1>t2?t1:t2;
352: t1 = (u1& 0xffff); t2 = (u2& 0xffff); u |= t1>t2?t1:t2;
353: d[i] = u;
354: }
355: break;
356: case 32:
357: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
358: u1 = d1[i]; u2 = d2[i];
359: d[i] = u1>u2?u1:u2;
360: }
361: break;
362: default:
363: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
364: u1 = d1[i]; u2 = d2[i];
365: for ( j = 0, u = 0; j < nd_epw; j++ ) {
366: t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2;
367: }
368: d[i] = u;
369: }
370: break;
371: }
372: #else
373: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
374: u1 = d1[i]; u2 = d2[i];
375: for ( j = 0, u = 0; j < nd_epw; j++ ) {
376: t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2;
377: }
378: d[i] = u;
379: }
380: #endif
1.163 noro 381: if ( nd_module ) MPOS(d) = MPOS(d1);
1.157 noro 382: TD(d) = ndl_weight(d);
383: if ( nd_blockmask ) ndl_weight_mask(d);
384: }
385:
1.159 noro 386: void ndl_max(UINT *d1,unsigned *d2,UINT *d)
1.157 noro 387: {
388: UINT t1,t2,u,u1,u2;
389: int i,j,l;
1.1 noro 390:
1.157 noro 391: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
392: u1 = d1[i]; u2 = d2[i];
393: for ( j = 0, u = 0; j < nd_epw; j++ ) {
394: t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2;
395: }
396: d[i] = u;
397: }
1.57 noro 398: }
399:
1.61 noro 400: int ndl_weight(UINT *d)
1.1 noro 401: {
1.157 noro 402: UINT t,u;
403: int i,j;
1.1 noro 404:
1.157 noro 405: if ( current_dl_weight_vector )
406: for ( i = 0, t = 0; i < nd_nvar; i++ ) {
407: u = GET_EXP(d,i);
408: t += MUL_WEIGHT(u,i);
409: }
410: else
411: for ( t = 0, i = nd_exporigin; i < nd_wpd; i++ ) {
412: u = d[i];
413: for ( j = 0; j < nd_epw; j++, u>>=nd_bpe )
414: t += (u&nd_mask0);
415: }
1.167 noro 416: if ( nd_module && current_module_weight_vector && MPOS(d) )
417: t += current_module_weight_vector[MPOS(d)];
1.157 noro 418: return t;
1.1 noro 419: }
420:
1.61 noro 421: void ndl_weight_mask(UINT *d)
1.43 noro 422: {
1.157 noro 423: UINT t,u;
424: UINT *mask;
425: int i,j,k,l;
426:
427: l = nd_blockmask->n;
428: for ( k = 0; k < l; k++ ) {
429: mask = nd_blockmask->mask[k];
430: if ( current_dl_weight_vector )
431: for ( i = 0, t = 0; i < nd_nvar; i++ ) {
432: u = GET_EXP_MASK(d,i,mask);
433: t += MUL_WEIGHT(u,i);
434: }
435: else
436: for ( t = 0, i = nd_exporigin; i < nd_wpd; i++ ) {
437: u = d[i]&mask[i];
438: for ( j = 0; j < nd_epw; j++, u>>=nd_bpe )
439: t += (u&nd_mask0);
440: }
441: d[k+1] = t;
442: }
1.43 noro 443: }
444:
1.61 noro 445: int ndl_lex_compare(UINT *d1,UINT *d2)
1.1 noro 446: {
1.157 noro 447: int i;
1.1 noro 448:
1.157 noro 449: d1 += nd_exporigin;
450: d2 += nd_exporigin;
451: for ( i = nd_exporigin; i < nd_wpd; i++, d1++, d2++ )
452: if ( *d1 > *d2 )
453: return nd_isrlex ? -1 : 1;
454: else if ( *d1 < *d2 )
455: return nd_isrlex ? 1 : -1;
456: return 0;
1.1 noro 457: }
458:
1.61 noro 459: int ndl_block_compare(UINT *d1,UINT *d2)
1.43 noro 460: {
1.157 noro 461: int i,l,j,ord_o,ord_l;
462: struct order_pair *op;
463: UINT t1,t2,m;
464: UINT *mask;
465:
466: l = nd_blockmask->n;
467: op = nd_blockmask->order_pair;
468: for ( j = 0; j < l; j++ ) {
469: mask = nd_blockmask->mask[j];
470: ord_o = op[j].order;
471: if ( ord_o < 2 )
472: if ( (t1=d1[j+1]) > (t2=d2[j+1]) ) return 1;
473: else if ( t1 < t2 ) return -1;
474: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
475: m = mask[i];
476: t1 = d1[i]&m;
477: t2 = d2[i]&m;
478: if ( t1 > t2 )
479: return !ord_o ? -1 : 1;
480: else if ( t1 < t2 )
481: return !ord_o ? 1 : -1;
482: }
483: }
484: return 0;
1.43 noro 485: }
486:
1.96 noro 487: int ndl_matrix_compare(UINT *d1,UINT *d2)
488: {
1.157 noro 489: int i,j,s;
490: int *v;
1.96 noro 491:
1.157 noro 492: for ( j = 0; j < nd_nvar; j++ )
493: nd_work_vector[j] = GET_EXP(d1,j)-GET_EXP(d2,j);
494: for ( i = 0; i < nd_matrix_len; i++ ) {
495: v = nd_matrix[i];
496: for ( j = 0, s = 0; j < nd_nvar; j++ )
497: s += v[j]*nd_work_vector[j];
498: if ( s > 0 ) return 1;
499: else if ( s < 0 ) return -1;
500: }
501: return 0;
1.96 noro 502: }
503:
1.97 noro 504: int ndl_composite_compare(UINT *d1,UINT *d2)
505: {
1.157 noro 506: int i,j,s,start,end,len,o;
507: int *v;
508: struct sparse_weight *sw;
509:
510: for ( j = 0; j < nd_nvar; j++ )
511: nd_work_vector[j] = GET_EXP(d1,j)-GET_EXP(d2,j);
512: for ( i = 0; i < nd_worb_len; i++ ) {
513: len = nd_worb[i].length;
514: switch ( nd_worb[i].type ) {
515: case IS_DENSE_WEIGHT:
516: v = nd_worb[i].body.dense_weight;
517: for ( j = 0, s = 0; j < len; j++ )
518: s += v[j]*nd_work_vector[j];
519: if ( s > 0 ) return 1;
520: else if ( s < 0 ) return -1;
521: break;
522: case IS_SPARSE_WEIGHT:
523: sw = nd_worb[i].body.sparse_weight;
524: for ( j = 0, s = 0; j < len; j++ )
525: s += sw[j].value*nd_work_vector[sw[j].pos];
526: if ( s > 0 ) return 1;
527: else if ( s < 0 ) return -1;
528: break;
529: case IS_BLOCK:
530: o = nd_worb[i].body.block.order;
531: start = nd_worb[i].body.block.start;
532: switch ( o ) {
533: case 0:
534: end = start+len;
535: for ( j = start, s = 0; j < end; j++ )
536: s += MUL_WEIGHT(nd_work_vector[j],j);
537: if ( s > 0 ) return 1;
538: else if ( s < 0 ) return -1;
539: for ( j = end-1; j >= start; j-- )
540: if ( nd_work_vector[j] < 0 ) return 1;
541: else if ( nd_work_vector[j] > 0 ) return -1;
542: break;
543: case 1:
544: end = start+len;
545: for ( j = start, s = 0; j < end; j++ )
546: s += MUL_WEIGHT(nd_work_vector[j],j);
547: if ( s > 0 ) return 1;
548: else if ( s < 0 ) return -1;
549: for ( j = start; j < end; j++ )
550: if ( nd_work_vector[j] > 0 ) return 1;
551: else if ( nd_work_vector[j] < 0 ) return -1;
552: break;
553: case 2:
554: for ( j = start; j < end; j++ )
555: if ( nd_work_vector[j] > 0 ) return 1;
556: else if ( nd_work_vector[j] < 0 ) return -1;
557: break;
558: }
559: break;
560: }
561: }
562: return 0;
1.97 noro 563: }
564:
1.58 noro 565: /* TDH -> WW -> TD-> RL */
566:
1.61 noro 567: int ndl_ww_lex_compare(UINT *d1,UINT *d2)
1.58 noro 568: {
1.157 noro 569: int i,m,e1,e2;
1.58 noro 570:
1.157 noro 571: if ( TD(d1) > TD(d2) ) return 1;
572: else if ( TD(d1) < TD(d2) ) return -1;
573: m = nd_nvar>>1;
574: for ( i = 0, e1 = e2 = 0; i < m; i++ ) {
575: e1 += current_weyl_weight_vector[i]*(GET_EXP(d1,m+i)-GET_EXP(d1,i));
576: e2 += current_weyl_weight_vector[i]*(GET_EXP(d2,m+i)-GET_EXP(d2,i));
577: }
578: if ( e1 > e2 ) return 1;
579: else if ( e1 < e2 ) return -1;
580: return ndl_lex_compare(d1,d2);
581: }
582:
583: int ndl_module_grlex_compare(UINT *d1,UINT *d2)
584: {
1.164 noro 585: int i,c;
1.157 noro 586:
1.160 noro 587: if ( nd_ispot ) {
1.174 noro 588: if ( nd_pot_nelim && MPOS(d1)>=nd_pot_nelim+1 && MPOS(d2) >= nd_pot_nelim+1 ) {
589: if ( TD(d1) > TD(d2) ) return 1;
590: else if ( TD(d1) < TD(d2) ) return -1;
591: if ( c = ndl_lex_compare(d1,d2) ) return c;
592: if ( MPOS(d1) < MPOS(d2) ) return 1;
593: else if ( MPOS(d1) > MPOS(d2) ) return -1;
594: return 0;
595: }
1.157 noro 596: if ( MPOS(d1) < MPOS(d2) ) return 1;
597: else if ( MPOS(d1) > MPOS(d2) ) return -1;
598: }
599: if ( TD(d1) > TD(d2) ) return 1;
600: else if ( TD(d1) < TD(d2) ) return -1;
1.167 noro 601: if ( c = ndl_lex_compare(d1,d2) ) return c;
1.160 noro 602: if ( !nd_ispot ) {
1.157 noro 603: if ( MPOS(d1) < MPOS(d2) ) return 1;
604: else if ( MPOS(d1) > MPOS(d2) ) return -1;
605: }
606: return 0;
607: }
608:
609: int ndl_module_glex_compare(UINT *d1,UINT *d2)
610: {
1.164 noro 611: int i,c;
1.157 noro 612:
1.160 noro 613: if ( nd_ispot ) {
1.157 noro 614: if ( MPOS(d1) < MPOS(d2) ) return 1;
615: else if ( MPOS(d1) > MPOS(d2) ) return -1;
616: }
617: if ( TD(d1) > TD(d2) ) return 1;
618: else if ( TD(d1) < TD(d2) ) return -1;
1.167 noro 619: if ( c = ndl_lex_compare(d1,d2) ) return c;
1.160 noro 620: if ( !nd_ispot ) {
1.157 noro 621: if ( MPOS(d1) < MPOS(d2) ) return 1;
622: else if ( MPOS(d1) > MPOS(d2) ) return -1;
623: }
624: return 0;
625: }
626:
627: int ndl_module_lex_compare(UINT *d1,UINT *d2)
628: {
1.164 noro 629: int i,c;
1.157 noro 630:
1.160 noro 631: if ( nd_ispot ) {
1.157 noro 632: if ( MPOS(d1) < MPOS(d2) ) return 1;
633: else if ( MPOS(d1) > MPOS(d2) ) return -1;
634: }
1.167 noro 635: if ( c = ndl_lex_compare(d1,d2) ) return c;
1.160 noro 636: if ( !nd_ispot ) {
1.157 noro 637: if ( MPOS(d1) < MPOS(d2) ) return 1;
638: else if ( MPOS(d1) > MPOS(d2) ) return -1;
639: }
640: return 0;
641: }
642:
643: int ndl_module_block_compare(UINT *d1,UINT *d2)
644: {
645: int i,c;
646:
1.160 noro 647: if ( nd_ispot ) {
1.157 noro 648: if ( MPOS(d1) < MPOS(d2) ) return 1;
649: else if ( MPOS(d1) > MPOS(d2) ) return -1;
650: }
651: if ( c = ndl_block_compare(d1,d2) ) return c;
1.160 noro 652: if ( !nd_ispot ) {
1.157 noro 653: if ( MPOS(d1) < MPOS(d2) ) return 1;
654: else if ( MPOS(d1) > MPOS(d2) ) return -1;
655: }
656: return 0;
657: }
658:
659: int ndl_module_matrix_compare(UINT *d1,UINT *d2)
660: {
661: int i,c;
662:
1.160 noro 663: if ( nd_ispot ) {
1.157 noro 664: if ( MPOS(d1) < MPOS(d2) ) return 1;
665: else if ( MPOS(d1) > MPOS(d2) ) return -1;
666: }
667: if ( c = ndl_matrix_compare(d1,d2) ) return c;
1.160 noro 668: if ( !nd_ispot ) {
1.157 noro 669: if ( MPOS(d1) < MPOS(d2) ) return 1;
670: else if ( MPOS(d1) > MPOS(d2) ) return -1;
671: }
672: return 0;
673: }
674:
675: int ndl_module_composite_compare(UINT *d1,UINT *d2)
676: {
677: int i,c;
678:
1.160 noro 679: if ( nd_ispot ) {
1.157 noro 680: if ( MPOS(d1) > MPOS(d2) ) return 1;
681: else if ( MPOS(d1) < MPOS(d2) ) return -1;
682: }
683: if ( c = ndl_composite_compare(d1,d2) ) return c;
1.160 noro 684: if ( !nd_ispot ) {
1.157 noro 685: if ( MPOS(d1) > MPOS(d2) ) return 1;
686: else if ( MPOS(d1) < MPOS(d2) ) return -1;
687: }
688: return 0;
1.58 noro 689: }
690:
1.61 noro 691: INLINE int ndl_equal(UINT *d1,UINT *d2)
1.1 noro 692: {
1.157 noro 693: int i;
1.1 noro 694:
1.157 noro 695: switch ( nd_wpd ) {
696: case 2:
697: if ( TD(d2) != TD(d1) ) return 0;
698: if ( d2[1] != d1[1] ) return 0;
699: return 1;
700: break;
701: case 3:
702: if ( TD(d2) != TD(d1) ) return 0;
703: if ( d2[1] != d1[1] ) return 0;
704: if ( d2[2] != d1[2] ) return 0;
705: return 1;
706: break;
707: default:
708: for ( i = 0; i < nd_wpd; i++ )
709: if ( *d1++ != *d2++ ) return 0;
710: return 1;
711: break;
712: }
1.1 noro 713: }
714:
1.61 noro 715: INLINE void ndl_copy(UINT *d1,UINT *d2)
1.6 noro 716: {
1.157 noro 717: int i;
1.6 noro 718:
1.157 noro 719: switch ( nd_wpd ) {
720: case 2:
721: TD(d2) = TD(d1);
722: d2[1] = d1[1];
723: break;
724: case 3:
725: TD(d2) = TD(d1);
726: d2[1] = d1[1];
727: d2[2] = d1[2];
728: break;
729: default:
730: for ( i = 0; i < nd_wpd; i++ )
731: d2[i] = d1[i];
732: break;
733: }
1.6 noro 734: }
735:
1.61 noro 736: INLINE void ndl_zero(UINT *d)
737: {
1.157 noro 738: int i;
739: for ( i = 0; i < nd_wpd; i++ ) d[i] = 0;
1.61 noro 740: }
741:
742: INLINE void ndl_add(UINT *d1,UINT *d2,UINT *d)
1.1 noro 743: {
1.157 noro 744: int i;
1.1 noro 745:
1.162 noro 746: if ( nd_module ) {
747: if ( MPOS(d1) && MPOS(d2) && (MPOS(d1) != MPOS(d2)) )
1.167 noro 748: error("ndl_add : invalid operation");
1.162 noro 749: }
1.43 noro 750: #if 1
1.157 noro 751: switch ( nd_wpd ) {
752: case 2:
753: TD(d) = TD(d1)+TD(d2);
754: d[1] = d1[1]+d2[1];
755: break;
756: case 3:
757: TD(d) = TD(d1)+TD(d2);
758: d[1] = d1[1]+d2[1];
759: d[2] = d1[2]+d2[2];
760: break;
761: default:
762: for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]+d2[i];
763: break;
764: }
1.43 noro 765: #else
1.157 noro 766: for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]+d2[i];
1.43 noro 767: #endif
1.6 noro 768: }
769:
1.55 noro 770: /* d1 += d2 */
1.61 noro 771: INLINE void ndl_addto(UINT *d1,UINT *d2)
1.55 noro 772: {
1.157 noro 773: int i;
1.55 noro 774:
1.162 noro 775: if ( nd_module ) {
776: if ( MPOS(d1) && MPOS(d2) && (MPOS(d1) != MPOS(d2)) )
777: error("ndl_addto : invalid operation");
778: }
1.55 noro 779: #if 1
1.157 noro 780: switch ( nd_wpd ) {
781: case 2:
782: TD(d1) += TD(d2);
783: d1[1] += d2[1];
784: break;
785: case 3:
786: TD(d1) += TD(d2);
787: d1[1] += d2[1];
788: d1[2] += d2[2];
789: break;
790: default:
791: for ( i = 0; i < nd_wpd; i++ ) d1[i] += d2[i];
792: break;
793: }
1.55 noro 794: #else
1.157 noro 795: for ( i = 0; i < nd_wpd; i++ ) d1[i] += d2[i];
1.55 noro 796: #endif
797: }
798:
1.61 noro 799: INLINE void ndl_sub(UINT *d1,UINT *d2,UINT *d)
1.6 noro 800: {
1.157 noro 801: int i;
1.6 noro 802:
1.157 noro 803: for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]-d2[i];
1.1 noro 804: }
805:
1.61 noro 806: int ndl_disjoint(UINT *d1,UINT *d2)
1.1 noro 807: {
1.157 noro 808: UINT t1,t2,u,u1,u2;
809: int i,j;
1.1 noro 810:
1.157 noro 811: if ( nd_module && (MPOS(d1) == MPOS(d2)) ) return 0;
1.65 noro 812: #if USE_UNROLL
1.157 noro 813: switch ( nd_bpe ) {
814: case 3:
815: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
816: u1 = d1[i]; u2 = d2[i];
817: t1 = u1&0x38000000; t2 = u2&0x38000000; if ( t1&&t2 ) return 0;
818: t1 = u1& 0x7000000; t2 = u2& 0x7000000; if ( t1&&t2 ) return 0;
819: t1 = u1& 0xe00000; t2 = u2& 0xe00000; if ( t1&&t2 ) return 0;
820: t1 = u1& 0x1c0000; t2 = u2& 0x1c0000; if ( t1&&t2 ) return 0;
821: t1 = u1& 0x38000; t2 = u2& 0x38000; if ( t1&&t2 ) return 0;
822: t1 = u1& 0x7000; t2 = u2& 0x7000; if ( t1&&t2 ) return 0;
823: t1 = u1& 0xe00; t2 = u2& 0xe00; if ( t1&&t2 ) return 0;
824: t1 = u1& 0x1c0; t2 = u2& 0x1c0; if ( t1&&t2 ) return 0;
825: t1 = u1& 0x38; t2 = u2& 0x38; if ( t1&&t2 ) return 0;
826: t1 = u1& 0x7; t2 = u2& 0x7; if ( t1&&t2 ) return 0;
827: }
828: return 1;
829: break;
830: case 4:
831: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
832: u1 = d1[i]; u2 = d2[i];
833: t1 = u1&0xf0000000; t2 = u2&0xf0000000; if ( t1&&t2 ) return 0;
834: t1 = u1& 0xf000000; t2 = u2& 0xf000000; if ( t1&&t2 ) return 0;
835: t1 = u1& 0xf00000; t2 = u2& 0xf00000; if ( t1&&t2 ) return 0;
836: t1 = u1& 0xf0000; t2 = u2& 0xf0000; if ( t1&&t2 ) return 0;
837: t1 = u1& 0xf000; t2 = u2& 0xf000; if ( t1&&t2 ) return 0;
838: t1 = u1& 0xf00; t2 = u2& 0xf00; if ( t1&&t2 ) return 0;
839: t1 = u1& 0xf0; t2 = u2& 0xf0; if ( t1&&t2 ) return 0;
840: t1 = u1& 0xf; t2 = u2& 0xf; if ( t1&&t2 ) return 0;
841: }
842: return 1;
843: break;
844: case 6:
845: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
846: u1 = d1[i]; u2 = d2[i];
847: t1 = u1&0x3f000000; t2 = u2&0x3f000000; if ( t1&&t2 ) return 0;
848: t1 = u1& 0xfc0000; t2 = u2& 0xfc0000; if ( t1&&t2 ) return 0;
849: t1 = u1& 0x3f000; t2 = u2& 0x3f000; if ( t1&&t2 ) return 0;
850: t1 = u1& 0xfc0; t2 = u2& 0xfc0; if ( t1&&t2 ) return 0;
851: t1 = u1& 0x3f; t2 = u2& 0x3f; if ( t1&&t2 ) return 0;
852: }
853: return 1;
854: break;
855: case 8:
856: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
857: u1 = d1[i]; u2 = d2[i];
858: t1 = u1&0xff000000; t2 = u2&0xff000000; if ( t1&&t2 ) return 0;
859: t1 = u1& 0xff0000; t2 = u2& 0xff0000; if ( t1&&t2 ) return 0;
860: t1 = u1& 0xff00; t2 = u2& 0xff00; if ( t1&&t2 ) return 0;
861: t1 = u1& 0xff; t2 = u2& 0xff; if ( t1&&t2 ) return 0;
862: }
863: return 1;
864: break;
865: case 16:
866: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
867: u1 = d1[i]; u2 = d2[i];
868: t1 = u1&0xffff0000; t2 = u2&0xffff0000; if ( t1&&t2 ) return 0;
869: t1 = u1& 0xffff; t2 = u2& 0xffff; if ( t1&&t2 ) return 0;
870: }
871: return 1;
872: break;
873: case 32:
874: for ( i = nd_exporigin; i < nd_wpd; i++ )
875: if ( d1[i] && d2[i] ) return 0;
876: return 1;
877: break;
878: default:
879: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
880: u1 = d1[i]; u2 = d2[i];
881: for ( j = 0; j < nd_epw; j++ ) {
882: if ( (u1&nd_mask0) && (u2&nd_mask0) ) return 0;
883: u1 >>= nd_bpe; u2 >>= nd_bpe;
884: }
885: }
886: return 1;
887: break;
888: }
1.65 noro 889: #else
1.157 noro 890: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
891: u1 = d1[i]; u2 = d2[i];
892: for ( j = 0; j < nd_epw; j++ ) {
893: if ( (u1&nd_mask0) && (u2&nd_mask0) ) return 0;
894: u1 >>= nd_bpe; u2 >>= nd_bpe;
895: }
896: }
897: return 1;
1.65 noro 898: #endif
1.1 noro 899: }
900:
1.114 noro 901: int ndl_check_bound(UINT *d1,UINT *d2)
1.1 noro 902: {
1.157 noro 903: UINT u2;
904: int i,j,ind,k;
1.1 noro 905:
1.157 noro 906: ind = 0;
1.65 noro 907: #if USE_UNROLL
1.157 noro 908: switch ( nd_bpe ) {
909: case 3:
910: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
911: u2 = d2[i];
912: if ( d1[ind++]+((u2>>27)&0x7) >= 0x8 ) return 1;
913: if ( d1[ind++]+((u2>>24)&0x7) >= 0x8 ) return 1;
914: if ( d1[ind++]+((u2>>21)&0x7) >= 0x8 ) return 1;
915: if ( d1[ind++]+((u2>>18)&0x7) >= 0x8 ) return 1;
916: if ( d1[ind++]+((u2>>15)&0x7) >= 0x8 ) return 1;
917: if ( d1[ind++]+((u2>>12)&0x7) >= 0x8 ) return 1;
918: if ( d1[ind++]+((u2>>9)&0x7) >= 0x8 ) return 1;
919: if ( d1[ind++]+((u2>>6)&0x7) >= 0x8 ) return 1;
920: if ( d1[ind++]+((u2>>3)&0x7) >= 0x8 ) return 1;
921: if ( d1[ind++]+(u2&0x7) >= 0x8 ) return 1;
922: }
923: return 0;
924: break;
925: case 4:
926: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
927: u2 = d2[i];
928: if ( d1[ind++]+((u2>>28)&0xf) >= 0x10 ) return 1;
929: if ( d1[ind++]+((u2>>24)&0xf) >= 0x10 ) return 1;
930: if ( d1[ind++]+((u2>>20)&0xf) >= 0x10 ) return 1;
931: if ( d1[ind++]+((u2>>16)&0xf) >= 0x10 ) return 1;
932: if ( d1[ind++]+((u2>>12)&0xf) >= 0x10 ) return 1;
933: if ( d1[ind++]+((u2>>8)&0xf) >= 0x10 ) return 1;
934: if ( d1[ind++]+((u2>>4)&0xf) >= 0x10 ) return 1;
935: if ( d1[ind++]+(u2&0xf) >= 0x10 ) return 1;
936: }
937: return 0;
938: break;
939: case 6:
940: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
941: u2 = d2[i];
942: if ( d1[ind++]+((u2>>24)&0x3f) >= 0x40 ) return 1;
943: if ( d1[ind++]+((u2>>18)&0x3f) >= 0x40 ) return 1;
944: if ( d1[ind++]+((u2>>12)&0x3f) >= 0x40 ) return 1;
945: if ( d1[ind++]+((u2>>6)&0x3f) >= 0x40 ) return 1;
946: if ( d1[ind++]+(u2&0x3f) >= 0x40 ) return 1;
947: }
948: return 0;
949: break;
950: case 8:
951: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
952: u2 = d2[i];
953: if ( d1[ind++]+((u2>>24)&0xff) >= 0x100 ) return 1;
954: if ( d1[ind++]+((u2>>16)&0xff) >= 0x100 ) return 1;
955: if ( d1[ind++]+((u2>>8)&0xff) >= 0x100 ) return 1;
956: if ( d1[ind++]+(u2&0xff) >= 0x100 ) return 1;
957: }
958: return 0;
959: break;
960: case 16:
961: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
962: u2 = d2[i];
963: if ( d1[ind++]+((u2>>16)&0xffff) > 0x10000 ) return 1;
964: if ( d1[ind++]+(u2&0xffff) > 0x10000 ) return 1;
965: }
966: return 0;
967: break;
968: case 32:
969: for ( i = nd_exporigin; i < nd_wpd; i++ )
970: if ( d1[i]+d2[i]<d1[i] ) return 1;
971: return 0;
972: break;
973: default:
974: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
975: u2 = d2[i];
976: k = (nd_epw-1)*nd_bpe;
977: for ( j = 0; j < nd_epw; j++, k -= nd_bpe )
978: if ( d1[ind++]+((u2>>k)&nd_mask0) > nd_mask0 ) return 1;
979: }
980: return 0;
981: break;
982: }
1.65 noro 983: #else
1.157 noro 984: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
985: u2 = d2[i];
986: k = (nd_epw-1)*nd_bpe;
987: for ( j = 0; j < nd_epw; j++, k -= nd_bpe )
988: if ( d1[ind++]+((u2>>k)&nd_mask0) > nd_mask0 ) return 1;
989: }
990: return 0;
1.65 noro 991: #endif
1.1 noro 992: }
993:
1.114 noro 994: int ndl_check_bound2(int index,UINT *d2)
995: {
1.157 noro 996: return ndl_check_bound(nd_bound[index],d2);
1.114 noro 997: }
998:
1.61 noro 999: INLINE int ndl_hash_value(UINT *d)
1.1 noro 1000: {
1.157 noro 1001: int i;
1002: int r;
1.1 noro 1003:
1.157 noro 1004: r = 0;
1005: for ( i = 0; i < nd_wpd; i++ )
1006: r = ((r<<16)+d[i])%REDTAB_LEN;
1007: return r;
1.1 noro 1008: }
1009:
1.63 noro 1010: INLINE int ndl_find_reducer(UINT *dg)
1.1 noro 1011: {
1.157 noro 1012: RHist r;
1013: int d,k,i;
1.1 noro 1014:
1.157 noro 1015: d = ndl_hash_value(dg);
1016: for ( r = nd_red[d], k = 0; r; r = NEXT(r), k++ ) {
1017: if ( ndl_equal(dg,DL(r)) ) {
1018: if ( k > 0 ) nd_notfirst++;
1019: nd_found++;
1020: return r->index;
1021: }
1022: }
1023: if ( Reverse )
1024: for ( i = nd_psn-1; i >= 0; i-- ) {
1025: r = nd_psh[i];
1026: if ( ndl_reducible(dg,DL(r)) ) {
1027: nd_create++;
1028: nd_append_red(dg,i);
1029: return i;
1030: }
1031: }
1032: else
1033: for ( i = 0; i < nd_psn; i++ ) {
1034: r = nd_psh[i];
1035: if ( ndl_reducible(dg,DL(r)) ) {
1036: nd_create++;
1037: nd_append_red(dg,i);
1038: return i;
1039: }
1040: }
1041: return -1;
1.1 noro 1042: }
1043:
1.63 noro 1044: ND nd_merge(ND p1,ND p2)
1045: {
1.157 noro 1046: int n,c;
1047: int t,can,td1,td2;
1048: ND r;
1049: NM m1,m2,mr0,mr,s;
1050:
1051: if ( !p1 ) return p2;
1052: else if ( !p2 ) return p1;
1053: else {
1054: can = 0;
1055: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
1056: c = DL_COMPARE(DL(m1),DL(m2));
1057: switch ( c ) {
1058: case 0:
1059: s = m1; m1 = NEXT(m1);
1060: can++; NEXTNM2(mr0,mr,s);
1061: s = m2; m2 = NEXT(m2); FREENM(s);
1062: break;
1063: case 1:
1064: s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
1065: break;
1066: case -1:
1067: s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
1068: break;
1069: }
1070: }
1071: if ( !mr0 )
1072: if ( m1 ) mr0 = m1;
1073: else if ( m2 ) mr0 = m2;
1074: else return 0;
1075: else if ( m1 ) NEXT(mr) = m1;
1076: else if ( m2 ) NEXT(mr) = m2;
1077: else NEXT(mr) = 0;
1078: BDY(p1) = mr0;
1079: SG(p1) = MAX(SG(p1),SG(p2));
1080: LEN(p1) = LEN(p1)+LEN(p2)-can;
1081: FREEND(p2);
1082: return p1;
1083: }
1.63 noro 1084: }
1085:
1.31 noro 1086: ND nd_add(int mod,ND p1,ND p2)
1.1 noro 1087: {
1.157 noro 1088: int n,c;
1089: int t,can,td1,td2;
1090: ND r;
1091: NM m1,m2,mr0,mr,s;
1092:
1093: if ( !p1 ) return p2;
1094: else if ( !p2 ) return p1;
1095: else if ( mod == -1 ) return nd_add_sf(p1,p2);
1096: else if ( !mod ) return nd_add_q(p1,p2);
1097: else {
1098: can = 0;
1099: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
1100: c = DL_COMPARE(DL(m1),DL(m2));
1101: switch ( c ) {
1102: case 0:
1103: t = ((CM(m1))+(CM(m2))) - mod;
1104: if ( t < 0 ) t += mod;
1105: s = m1; m1 = NEXT(m1);
1106: if ( t ) {
1107: can++; NEXTNM2(mr0,mr,s); CM(mr) = (t);
1108: } else {
1109: can += 2; FREENM(s);
1110: }
1111: s = m2; m2 = NEXT(m2); FREENM(s);
1112: break;
1113: case 1:
1114: s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
1115: break;
1116: case -1:
1117: s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
1118: break;
1119: }
1120: }
1121: if ( !mr0 )
1122: if ( m1 ) mr0 = m1;
1123: else if ( m2 ) mr0 = m2;
1124: else return 0;
1125: else if ( m1 ) NEXT(mr) = m1;
1126: else if ( m2 ) NEXT(mr) = m2;
1127: else NEXT(mr) = 0;
1128: BDY(p1) = mr0;
1129: SG(p1) = MAX(SG(p1),SG(p2));
1130: LEN(p1) = LEN(p1)+LEN(p2)-can;
1131: FREEND(p2);
1132: return p1;
1133: }
1.95 noro 1134: }
1135:
1136: /* XXX on opteron, the inlined manipulation of destructive additon of
1137: * two NM seems to make gcc optimizer get confused, so the part is
1138: * done in a function.
1139: */
1140:
1.113 noro 1141: int nm_destructive_add_q(NM *m1,NM *m2,NM *mr0,NM *mr)
1.95 noro 1142: {
1.157 noro 1143: NM s;
1144: P t;
1145: int can;
1146:
1147: addp(nd_vc,CP(*m1),CP(*m2),&t);
1148: s = *m1; *m1 = NEXT(*m1);
1149: if ( t ) {
1150: can = 1; NEXTNM2(*mr0,*mr,s); CP(*mr) = (t);
1151: } else {
1152: can = 2; FREENM(s);
1153: }
1154: s = *m2; *m2 = NEXT(*m2); FREENM(s);
1155: return can;
1.95 noro 1156: }
1157:
1.113 noro 1158: ND nd_add_q(ND p1,ND p2)
1.95 noro 1159: {
1.157 noro 1160: int n,c,can;
1161: ND r;
1162: NM m1,m2,mr0,mr,s;
1163: P t;
1164:
1165: if ( !p1 ) return p2;
1166: else if ( !p2 ) return p1;
1167: else {
1168: can = 0;
1169: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
1170: c = DL_COMPARE(DL(m1),DL(m2));
1171: switch ( c ) {
1172: case 0:
1.95 noro 1173: #if defined(__x86_64__)
1.157 noro 1174: can += nm_destructive_add_q(&m1,&m2,&mr0,&mr);
1.95 noro 1175: #else
1.157 noro 1176: addp(nd_vc,CP(m1),CP(m2),&t);
1177: s = m1; m1 = NEXT(m1);
1178: if ( t ) {
1179: can++; NEXTNM2(mr0,mr,s); CP(mr) = (t);
1180: } else {
1181: can += 2; FREENM(s);
1182: }
1183: s = m2; m2 = NEXT(m2); FREENM(s);
1.95 noro 1184: #endif
1.157 noro 1185: break;
1186: case 1:
1187: s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
1188: break;
1189: case -1:
1190: s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
1191: break;
1192: }
1193: }
1194: if ( !mr0 )
1195: if ( m1 ) mr0 = m1;
1196: else if ( m2 ) mr0 = m2;
1197: else return 0;
1198: else if ( m1 ) NEXT(mr) = m1;
1199: else if ( m2 ) NEXT(mr) = m2;
1200: else NEXT(mr) = 0;
1201: BDY(p1) = mr0;
1202: SG(p1) = MAX(SG(p1),SG(p2));
1203: LEN(p1) = LEN(p1)+LEN(p2)-can;
1204: FREEND(p2);
1205: return p1;
1206: }
1.17 noro 1207: }
1208:
1.71 noro 1209: ND nd_add_sf(ND p1,ND p2)
1210: {
1.157 noro 1211: int n,c,can;
1212: ND r;
1213: NM m1,m2,mr0,mr,s;
1214: int t;
1215:
1216: if ( !p1 ) return p2;
1217: else if ( !p2 ) return p1;
1218: else {
1219: can = 0;
1220: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
1221: c = DL_COMPARE(DL(m1),DL(m2));
1222: switch ( c ) {
1223: case 0:
1224: t = _addsf(CM(m1),CM(m2));
1225: s = m1; m1 = NEXT(m1);
1226: if ( t ) {
1227: can++; NEXTNM2(mr0,mr,s); CM(mr) = (t);
1228: } else {
1229: can += 2; FREENM(s);
1230: }
1231: s = m2; m2 = NEXT(m2); FREENM(s);
1232: break;
1233: case 1:
1234: s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
1235: break;
1236: case -1:
1237: s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
1238: break;
1239: }
1240: }
1241: if ( !mr0 )
1242: if ( m1 ) mr0 = m1;
1243: else if ( m2 ) mr0 = m2;
1244: else return 0;
1245: else if ( m1 ) NEXT(mr) = m1;
1246: else if ( m2 ) NEXT(mr) = m2;
1247: else NEXT(mr) = 0;
1248: BDY(p1) = mr0;
1249: SG(p1) = MAX(SG(p1),SG(p2));
1250: LEN(p1) = LEN(p1)+LEN(p2)-can;
1251: FREEND(p2);
1252: return p1;
1253: }
1.71 noro 1254: }
1255:
1.167 noro 1256: ND nd_reduce2(int mod,ND d,ND g,NDV p,NM mul,NDC dn,Obj *divp)
1.146 noro 1257: {
1.157 noro 1258: int c,c1,c2;
1259: Q cg,cred,gcd,tq;
1260: P cgp,credp,gcdp;
1261: Obj tr,tr1;
1262:
1.167 noro 1263: if ( mod == -1 ) {
1.157 noro 1264: CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g)));
1.167 noro 1265: *divp = (Obj)ONE;
1266: } else if ( mod ) {
1.157 noro 1267: c1 = invm(HCM(p),mod); c2 = mod-HCM(g);
1268: DMAR(c1,c2,0,mod,c); CM(mul) = c;
1.167 noro 1269: *divp = (Obj)ONE;
1.157 noro 1270: } else if ( nd_vc ) {
1271: ezgcdpz(nd_vc,HCP(g),HCP(p),&gcdp);
1272: divsp(nd_vc,HCP(g),gcdp,&cgp); divsp(nd_vc,HCP(p),gcdp,&credp);
1273: chsgnp(cgp,&CP(mul));
1274: nd_mul_c_q(d,credp); nd_mul_c_q(g,credp);
1275: if ( dn ) {
1276: mulr(nd_vc,(Obj)dn->r,(Obj)credp,&tr);
1277: reductr(nd_vc,tr,&tr1); dn->r = (R)tr1;
1278: }
1.167 noro 1279: *divp = (Obj)credp;
1.157 noro 1280: } else {
1281: igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred);
1282: chsgnq(cg,&CQ(mul));
1283: nd_mul_c_q(d,(P)cred); nd_mul_c_q(g,(P)cred);
1284: if ( dn ) {
1285: mulq(dn->z,cred,&tq); dn->z = tq;
1286: }
1.167 noro 1287: *divp = (Obj)cred;
1.157 noro 1288: }
1289: return nd_add(mod,g,ndv_mul_nm(mod,mul,p));
1.146 noro 1290: }
1291:
1.1 noro 1292: /* ret=1 : success, ret=0 : overflow */
1.146 noro 1293: int nd_nf(int mod,ND d,ND g,NDV *ps,int full,NDC dn,ND *rp)
1.1 noro 1294: {
1.157 noro 1295: NM m,mrd,tail;
1296: NM mul;
1297: int n,sugar,psugar,sugar0,stat,index;
1298: int c,c1,c2,dummy;
1299: RHist h;
1300: NDV p,red;
1.167 noro 1301: Q cg,cred,gcd,tq,qq,iq;
1302: DP dmul;
1303: NODE node;
1304: LIST hist;
1.157 noro 1305: double hmag;
1306: P tp,tp1;
1.167 noro 1307: Obj tr,tr1,div;
1308: union oNDC hg;
1309: P cont;
1.157 noro 1310:
1311: if ( dn ) {
1312: if ( mod )
1313: dn->m = 1;
1314: else if ( nd_vc )
1315: dn->r = (R)ONE;
1316: else
1317: dn->z = ONE;
1318: }
1319: if ( !g ) {
1320: *rp = d;
1321: return 1;
1322: }
1323: if ( !mod ) hmag = ((double)p_mag(HCP(g)))*nd_scale;
1324:
1325: sugar0 = sugar = SG(g);
1326: n = NV(g);
1327: mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
1328: if ( d )
1329: for ( tail = BDY(d); NEXT(tail); tail = NEXT(tail) );
1330: for ( ; g; ) {
1331: index = ndl_find_reducer(HDL(g));
1332: if ( index >= 0 ) {
1333: h = nd_psh[index];
1334: ndl_sub(HDL(g),DL(h),DL(mul));
1335: if ( ndl_check_bound2(index,DL(mul)) ) {
1336: nd_free(g); nd_free(d);
1337: return 0;
1338: }
1339: p = nd_demand ? ndv_load(index) : ps[index];
1.167 noro 1340: /* d+g -> div*(d+g)+mul*p */
1341: g = nd_reduce2(mod,d,g,p,mul,dn,&div);
1.172 noro 1342: if ( nd_gentrace ) {
1.167 noro 1343: /* Trace=[div,index,mul,ONE] */
1344: STOQ(index,iq);
1345: nmtodp(mod,mul,&dmul);
1346: node = mknode(4,div,iq,dmul,ONE);
1347: }
1.157 noro 1348: sugar = MAX(sugar,SG(p)+TD(DL(mul)));
1.193 noro 1349: if ( !mod && g && !nd_vc && ((double)(p_mag(HCP(g))) > hmag) ) {
1.167 noro 1350: hg = HCU(g);
1.157 noro 1351: nd_removecont2(d,g);
1.172 noro 1352: if ( dn || nd_gentrace ) {
1.167 noro 1353: /* overwrite cont : Trace=[div,index,mul,cont] */
1354: cont = ndc_div(mod,hg,HCU(g));
1355: if ( dn ) {
1356: if ( nd_vc ) {
1357: divr(nd_vc,(Obj)dn->r,(Obj)cont,&tr);
1358: reductr(nd_vc,(Obj)tr,&tr1); dn->r = (R)tr1;
1359: } else divq(dn->z,(Q)cont,&dn->z);
1.157 noro 1360: }
1.172 noro 1361: if ( nd_gentrace && !UNIQ(cont) ) ARG3(node) = (pointer)cont;
1.157 noro 1362: }
1363: hmag = ((double)p_mag(HCP(g)))*nd_scale;
1364: }
1.167 noro 1365: MKLIST(hist,node);
1366: MKNODE(node,hist,nd_tracelist); nd_tracelist = node;
1.157 noro 1367: } else if ( !full ) {
1368: *rp = g;
1369: return 1;
1370: } else {
1371: m = BDY(g);
1372: if ( NEXT(m) ) {
1373: BDY(g) = NEXT(m); NEXT(m) = 0; LEN(g)--;
1374: } else {
1375: FREEND(g); g = 0;
1376: }
1377: if ( d ) {
1378: NEXT(tail)=m; tail=m; LEN(d)++;
1379: } else {
1380: MKND(n,m,1,d); tail = BDY(d);
1381: }
1382: }
1383: }
1384: if ( d ) SG(d) = sugar;
1385: *rp = d;
1386: return 1;
1.1 noro 1387: }
1.28 noro 1388:
1.53 noro 1389: int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp)
1.25 noro 1390: {
1.157 noro 1391: int hindex,index;
1392: NDV p;
1393: ND u,d,red;
1394: NODE l;
1395: NM mul,m,mrd,tail;
1396: int sugar,psugar,n,h_reducible;
1397: PGeoBucket bucket;
1398: int c,c1,c2;
1399: Q cg,cred,gcd,zzz;
1400: RHist h;
1401: double hmag,gmag;
1402: int count = 0;
1403: int hcount = 0;
1404:
1405: if ( !g ) {
1406: *rp = 0;
1407: return 1;
1408: }
1409: sugar = SG(g);
1410: n = NV(g);
1411: if ( !mod ) hmag = ((double)p_mag((P)HCQ(g)))*nd_scale;
1412: bucket = create_pbucket();
1413: add_pbucket(mod,bucket,g);
1414: d = 0;
1415: mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
1416: while ( 1 ) {
1417: hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket);
1418: if ( hindex < 0 ) {
1419: if ( DP_Print > 3 ) printf("(%d %d)",count,hcount);
1420: if ( d ) SG(d) = sugar;
1421: *rp = d;
1422: return 1;
1423: }
1424: g = bucket->body[hindex];
1425: index = ndl_find_reducer(HDL(g));
1426: if ( index >= 0 ) {
1427: count++;
1428: if ( !d ) hcount++;
1429: h = nd_psh[index];
1430: ndl_sub(HDL(g),DL(h),DL(mul));
1431: if ( ndl_check_bound2(index,DL(mul)) ) {
1432: nd_free(d);
1433: free_pbucket(bucket);
1434: *rp = 0;
1435: return 0;
1436: }
1437: p = ps[index];
1438: if ( mod == -1 )
1439: CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g)));
1440: else if ( mod ) {
1441: c1 = invm(HCM(p),mod); c2 = mod-HCM(g);
1442: DMAR(c1,c2,0,mod,c); CM(mul) = c;
1443: } else {
1444: igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred);
1445: chsgnq(cg,&CQ(mul));
1446: nd_mul_c_q(d,(P)cred);
1447: mulq_pbucket(bucket,cred);
1448: g = bucket->body[hindex];
1449: gmag = (double)p_mag((P)HCQ(g));
1450: }
1451: red = ndv_mul_nm(mod,mul,p);
1452: bucket->body[hindex] = nd_remove_head(g);
1453: red = nd_remove_head(red);
1454: add_pbucket(mod,bucket,red);
1455: psugar = SG(p)+TD(DL(mul));
1456: sugar = MAX(sugar,psugar);
1457: if ( !mod && hmag && (gmag > hmag) ) {
1458: g = normalize_pbucket(mod,bucket);
1459: if ( !g ) {
1460: if ( d ) SG(d) = sugar;
1461: *rp = d;
1462: return 1;
1463: }
1464: nd_removecont2(d,g);
1465: hmag = ((double)p_mag((P)HCQ(g)))*nd_scale;
1466: add_pbucket(mod,bucket,g);
1467: }
1468: } else if ( !full ) {
1469: g = normalize_pbucket(mod,bucket);
1470: if ( g ) SG(g) = sugar;
1471: *rp = g;
1472: return 1;
1473: } else {
1474: m = BDY(g);
1475: if ( NEXT(m) ) {
1476: BDY(g) = NEXT(m); NEXT(m) = 0; LEN(g)--;
1477: } else {
1478: FREEND(g); g = 0;
1479: }
1480: bucket->body[hindex] = g;
1481: NEXT(m) = 0;
1482: if ( d ) {
1483: NEXT(tail)=m; tail=m; LEN(d)++;
1484: } else {
1485: MKND(n,m,1,d); tail = BDY(d);
1486: }
1487: }
1488: }
1.25 noro 1489: }
1.27 noro 1490:
1.61 noro 1491: /* input : list of NDV, cand : list of NDV */
1.28 noro 1492:
1.170 noro 1493: int ndv_check_membership(int m,NODE input,int obpe,int oadv,EPOS oepos,NODE cand)
1.28 noro 1494: {
1.157 noro 1495: int n,i,stat;
1496: ND nf,d;
1497: NDV r;
1498: NODE t,s;
1499: union oNDC dn;
1.168 noro 1500: Q q;
1501: LIST list;
1.45 noro 1502:
1.172 noro 1503: ndv_setup(m,0,cand,nd_gentrace?1:0,1);
1.157 noro 1504: n = length(cand);
1.28 noro 1505:
1.172 noro 1506: if ( nd_gentrace ) { nd_alltracelist = 0; nd_tracelist = 0; }
1.157 noro 1507: /* membercheck : list is a subset of Id(cand) ? */
1.168 noro 1508: for ( t = input, i = 0; t; t = NEXT(t), i++ ) {
1.45 noro 1509: again:
1.168 noro 1510: nd_tracelist = 0;
1.157 noro 1511: if ( nd_bpe > obpe )
1512: r = ndv_dup_realloc((NDV)BDY(t),obpe,oadv,oepos);
1513: else
1514: r = (NDV)BDY(t);
1.171 noro 1515: d = ndvtond(m,r);
1516: stat = nd_nf(m,0,d,nd_ps,0,0,&nf);
1.157 noro 1517: if ( !stat ) {
1518: nd_reconstruct(0,0);
1519: goto again;
1520: } else if ( nf ) return 0;
1.172 noro 1521: if ( nd_gentrace ) {
1.168 noro 1522: nd_tracelist = reverse_node(nd_tracelist);
1523: MKLIST(list,nd_tracelist);
1524: STOQ(i,q); s = mknode(2,q,list); MKLIST(list,s);
1525: MKNODE(s,list,nd_alltracelist);
1526: nd_alltracelist = s; nd_tracelist = 0;
1527: }
1.157 noro 1528: if ( DP_Print ) { printf("."); fflush(stdout); }
1529: }
1530: if ( DP_Print ) { printf("\n"); }
1531: return 1;
1.23 noro 1532: }
1.1 noro 1533:
1534: ND nd_remove_head(ND p)
1535: {
1.157 noro 1536: NM m;
1.1 noro 1537:
1.157 noro 1538: m = BDY(p);
1539: if ( !NEXT(m) ) {
1540: FREEND(p); p = 0;
1541: } else {
1542: BDY(p) = NEXT(m); LEN(p)--;
1543: }
1544: FREENM(m);
1545: return p;
1.1 noro 1546: }
1547:
1.69 noro 1548: ND nd_separate_head(ND p,ND *head)
1549: {
1.157 noro 1550: NM m,m0;
1551: ND r;
1.69 noro 1552:
1.157 noro 1553: m = BDY(p);
1554: if ( !NEXT(m) ) {
1555: *head = p; p = 0;
1556: } else {
1557: m0 = m;
1558: BDY(p) = NEXT(m); LEN(p)--;
1559: NEXT(m0) = 0;
1560: MKND(NV(p),m0,1,r);
1561: *head = r;
1562: }
1563: return p;
1.69 noro 1564: }
1565:
1.1 noro 1566: PGeoBucket create_pbucket()
1567: {
1568: PGeoBucket g;
1.157 noro 1569:
1570: g = CALLOC(1,sizeof(struct oPGeoBucket));
1571: g->m = -1;
1572: return g;
1.1 noro 1573: }
1574:
1.25 noro 1575: void free_pbucket(PGeoBucket b) {
1.157 noro 1576: int i;
1.25 noro 1577:
1.157 noro 1578: for ( i = 0; i <= b->m; i++ )
1579: if ( b->body[i] ) {
1580: nd_free(b->body[i]);
1581: b->body[i] = 0;
1582: }
1.200 ! noro 1583: GCFREE(b);
1.25 noro 1584: }
1585:
1.63 noro 1586: void add_pbucket_symbolic(PGeoBucket g,ND d)
1587: {
1.157 noro 1588: int l,i,k,m;
1.63 noro 1589:
1.157 noro 1590: if ( !d )
1591: return;
1592: l = LEN(d);
1593: for ( k = 0, m = 1; l > m; k++, m <<= 1 );
1594: /* 2^(k-1) < l <= 2^k (=m) */
1595: d = nd_merge(g->body[k],d);
1596: for ( ; d && LEN(d) > m; k++, m <<= 1 ) {
1597: g->body[k] = 0;
1598: d = nd_merge(g->body[k+1],d);
1599: }
1600: g->body[k] = d;
1601: g->m = MAX(g->m,k);
1.63 noro 1602: }
1603:
1.31 noro 1604: void add_pbucket(int mod,PGeoBucket g,ND d)
1.1 noro 1605: {
1.157 noro 1606: int l,i,k,m;
1.1 noro 1607:
1.157 noro 1608: if ( !d )
1609: return;
1610: l = LEN(d);
1611: for ( k = 0, m = 1; l > m; k++, m <<= 1 );
1612: /* 2^(k-1) < l <= 2^k (=m) */
1613: d = nd_add(mod,g->body[k],d);
1614: for ( ; d && LEN(d) > m; k++, m <<= 1 ) {
1615: g->body[k] = 0;
1616: d = nd_add(mod,g->body[k+1],d);
1617: }
1618: g->body[k] = d;
1619: g->m = MAX(g->m,k);
1.1 noro 1620: }
1621:
1.113 noro 1622: void mulq_pbucket(PGeoBucket g,Q c)
1.26 noro 1623: {
1.157 noro 1624: int k;
1.26 noro 1625:
1.157 noro 1626: for ( k = 0; k <= g->m; k++ )
1627: nd_mul_c_q(g->body[k],(P)c);
1.26 noro 1628: }
1629:
1.63 noro 1630: NM remove_head_pbucket_symbolic(PGeoBucket g)
1631: {
1.157 noro 1632: int j,i,k,c;
1633: NM head;
1634:
1635: k = g->m;
1636: j = -1;
1637: for ( i = 0; i <= k; i++ ) {
1638: if ( !g->body[i] ) continue;
1639: if ( j < 0 ) j = i;
1640: else {
1641: c = DL_COMPARE(HDL(g->body[i]),HDL(g->body[j]));
1642: if ( c > 0 )
1643: j = i;
1644: else if ( c == 0 )
1645: g->body[i] = nd_remove_head(g->body[i]);
1646: }
1647: }
1648: if ( j < 0 ) return 0;
1649: else {
1650: head = BDY(g->body[j]);
1651: if ( !NEXT(head) ) {
1652: FREEND(g->body[j]);
1653: g->body[j] = 0;
1654: } else {
1655: BDY(g->body[j]) = NEXT(head);
1656: LEN(g->body[j])--;
1657: }
1658: return head;
1659: }
1.63 noro 1660: }
1661:
1.19 noro 1662: int head_pbucket(int mod,PGeoBucket g)
1.1 noro 1663: {
1.157 noro 1664: int j,i,c,k,nv,sum;
1665: UINT *di,*dj;
1666: ND gi,gj;
1667:
1668: k = g->m;
1669: while ( 1 ) {
1670: j = -1;
1671: for ( i = 0; i <= k; i++ ) {
1672: if ( !(gi = g->body[i]) )
1673: continue;
1674: if ( j < 0 ) {
1675: j = i;
1676: gj = g->body[j];
1677: dj = HDL(gj);
1678: sum = HCM(gj);
1679: } else {
1680: c = DL_COMPARE(HDL(gi),dj);
1681: if ( c > 0 ) {
1682: if ( sum ) HCM(gj) = sum;
1683: else g->body[j] = nd_remove_head(gj);
1684: j = i;
1685: gj = g->body[j];
1686: dj = HDL(gj);
1687: sum = HCM(gj);
1688: } else if ( c == 0 ) {
1689: if ( mod == -1 )
1690: sum = _addsf(sum,HCM(gi));
1691: else {
1692: sum = sum+HCM(gi)-mod;
1693: if ( sum < 0 ) sum += mod;
1694: }
1695: g->body[i] = nd_remove_head(gi);
1696: }
1697: }
1698: }
1699: if ( j < 0 ) return -1;
1700: else if ( sum ) {
1701: HCM(gj) = sum;
1702: return j;
1703: } else
1704: g->body[j] = nd_remove_head(gj);
1705: }
1.26 noro 1706: }
1707:
1.113 noro 1708: int head_pbucket_q(PGeoBucket g)
1.26 noro 1709: {
1.157 noro 1710: int j,i,c,k,nv;
1711: Q sum,t;
1712: ND gi,gj;
1713:
1714: k = g->m;
1715: while ( 1 ) {
1716: j = -1;
1717: for ( i = 0; i <= k; i++ ) {
1718: if ( !(gi = g->body[i]) ) continue;
1719: if ( j < 0 ) {
1720: j = i;
1721: gj = g->body[j];
1722: sum = HCQ(gj);
1723: } else {
1724: nv = NV(gi);
1725: c = DL_COMPARE(HDL(gi),HDL(gj));
1726: if ( c > 0 ) {
1727: if ( sum ) HCQ(gj) = sum;
1728: else g->body[j] = nd_remove_head(gj);
1729: j = i;
1730: gj = g->body[j];
1731: sum = HCQ(gj);
1732: } else if ( c == 0 ) {
1733: addq(sum,HCQ(gi),&t);
1734: sum = t;
1735: g->body[i] = nd_remove_head(gi);
1736: }
1737: }
1738: }
1739: if ( j < 0 ) return -1;
1740: else if ( sum ) {
1741: HCQ(gj) = sum;
1742: return j;
1743: } else
1744: g->body[j] = nd_remove_head(gj);
1745: }
1.1 noro 1746: }
1747:
1.25 noro 1748: ND normalize_pbucket(int mod,PGeoBucket g)
1.1 noro 1749: {
1.157 noro 1750: int i;
1751: ND r,t;
1.1 noro 1752:
1.157 noro 1753: r = 0;
1754: for ( i = 0; i <= g->m; i++ ) {
1755: r = nd_add(mod,r,g->body[i]);
1756: g->body[i] = 0;
1757: }
1758: g->m = -1;
1759: return r;
1.1 noro 1760: }
1761:
1.150 noro 1762: #if 0
1763: void register_hcf(NDV p)
1764: {
1.157 noro 1765: DCP dc,t;
1766: P hc,h;
1767: int c;
1768: NODE l,l1,prev;
1769:
1770: hc = p->body->c.p;
1771: if ( !nd_vc || NUM(hc) ) return;
1772: fctrp(nd_vc,hc,&dc);
1773: for ( t = dc; t; t = NEXT(t) ) {
1774: h = t->c;
1775: if ( NUM(h) ) continue;
1776: for ( prev = 0, l = nd_hcf; l; prev = l, l = NEXT(l) ) {
1777: c = compp(nd_vc,h,(P)BDY(l));
1778: if ( c >= 0 ) break;
1779: }
1780: if ( !l || c > 0 ) {
1781: MKNODE(l1,h,l);
1782: if ( !prev )
1783: nd_hcf = l1;
1784: else
1785: NEXT(prev) = l1;
1786: }
1787: }
1.150 noro 1788: }
1789: #else
1790: void register_hcf(NDV p)
1791: {
1.157 noro 1792: DCP dc,t;
1793: P hc,h,q;
1794: Q dmy;
1795: int c;
1796: NODE l,l1,prev;
1797:
1798: hc = p->body->c.p;
1799: if ( NUM(hc) ) return;
1800: ptozp(hc,1,&dmy,&h);
1.150 noro 1801: #if 1
1.157 noro 1802: for ( l = nd_hcf; l; l = NEXT(l) ) {
1803: while ( 1 ) {
1804: if ( divtpz(nd_vc,h,(P)BDY(l),&q) ) h = q;
1805: else break;
1806: }
1807: }
1808: if ( NUM(h) ) return;
1.150 noro 1809: #endif
1.157 noro 1810: for ( prev = 0, l = nd_hcf; l; prev = l, l = NEXT(l) ) {
1811: c = compp(nd_vc,h,(P)BDY(l));
1812: if ( c >= 0 ) break;
1813: }
1814: if ( !l || c > 0 ) {
1815: MKNODE(l1,h,l);
1816: if ( !prev )
1817: nd_hcf = l1;
1818: else
1819: NEXT(prev) = l1;
1820: }
1.150 noro 1821: }
1822: #endif
1823:
1.122 noro 1824: int do_diagonalize(int sugar,int m)
1.92 noro 1825: {
1.157 noro 1826: int i,nh,stat;
1827: NODE r,g,t;
1828: ND h,nf,s,head;
1829: NDV nfv;
1830: Q q,num,den;
1.167 noro 1831: P nm,nmp,dn,mnp,dnp,cont,cont1;
1832: union oNDC hc;
1833: NODE node;
1834: LIST l;
1835: Q iq;
1.157 noro 1836:
1837: for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) {
1.172 noro 1838: if ( nd_gentrace ) {
1.167 noro 1839: /* Trace = [1,index,1,1] */
1840: STOQ(i,iq); node = mknode(4,ONE,iq,ONE,ONE);
1841: MKLIST(l,node); MKNODE(nd_tracelist,l,0);
1842: }
1.157 noro 1843: if ( nd_demand )
1844: nfv = ndv_load(i);
1845: else
1846: nfv = nd_ps[i];
1847: s = ndvtond(m,nfv);
1848: s = nd_separate_head(s,&head);
1849: stat = nd_nf(m,head,s,nd_ps,1,0,&nf);
1850: if ( !stat ) return 0;
1851: ndv_free(nfv);
1.167 noro 1852: hc = HCU(nf); nd_removecont(m,nf);
1853: cont = ndc_div(m,hc,HCU(nf));
1.172 noro 1854: if ( nd_gentrace ) finalize_tracelist(i,cont);
1.157 noro 1855: nfv = ndtondv(m,nf);
1856: nd_free(nf);
1857: nd_bound[i] = ndv_compute_bound(nfv);
1858: if ( !m ) register_hcf(nfv);
1859: if ( nd_demand ) {
1860: ndv_save(nfv,i);
1861: ndv_free(nfv);
1862: } else
1863: nd_ps[i] = nfv;
1864: }
1865: return 1;
1.92 noro 1866: }
1867:
1.27 noro 1868: /* return value = 0 => input is not a GB */
1869:
1.168 noro 1870: NODE nd_gb(int m,int ishomo,int checkonly,int gensyz,int **indp)
1.1 noro 1871: {
1.157 noro 1872: int i,nh,sugar,stat;
1873: NODE r,g,t;
1874: ND_pairs d;
1875: ND_pairs l;
1876: ND h,nf,s,head,nf1;
1877: NDV nfv;
1878: Q q,num,den;
1.167 noro 1879: union oNDC dn,hc;
1.157 noro 1880: int diag_count = 0;
1.167 noro 1881: P cont;
1882: LIST list;
1.157 noro 1883:
1884: g = 0; d = 0;
1885: for ( i = 0; i < nd_psn; i++ ) {
1.168 noro 1886: d = update_pairs(d,g,i,gensyz);
1.157 noro 1887: g = update_base(g,i);
1888: }
1889: sugar = 0;
1890: while ( d ) {
1.1 noro 1891: again:
1.157 noro 1892: l = nd_minp(d,&d);
1893: if ( SG(l) != sugar ) {
1894: if ( ishomo ) {
1895: diag_count = 0;
1896: stat = do_diagonalize(sugar,m);
1897: if ( !stat ) {
1898: NEXT(l) = d; d = l;
1899: d = nd_reconstruct(0,d);
1900: goto again;
1901: }
1902: }
1903: sugar = SG(l);
1904: if ( DP_Print ) fprintf(asir_out,"%d",sugar);
1905: }
1906: stat = nd_sp(m,0,l,&h);
1907: if ( !stat ) {
1908: NEXT(l) = d; d = l;
1909: d = nd_reconstruct(0,d);
1910: goto again;
1911: }
1.41 noro 1912: #if USE_GEOBUCKET
1.172 noro 1913: stat = (m&&!nd_gentrace)?nd_nf_pbucket(m,h,nd_ps,!Top,&nf)
1.167 noro 1914: :nd_nf(m,0,h,nd_ps,!Top,0,&nf);
1.41 noro 1915: #else
1.157 noro 1916: stat = nd_nf(m,0,h,nd_ps,!Top,0,&nf);
1.41 noro 1917: #endif
1.157 noro 1918: if ( !stat ) {
1919: NEXT(l) = d; d = l;
1920: d = nd_reconstruct(0,d);
1921: goto again;
1922: } else if ( nf ) {
1.168 noro 1923: if ( checkonly || gensyz ) return 0;
1.192 noro 1924: if ( nd_newelim ) {
1925: if ( nd_module ) {
1926: if ( MPOS(HDL(nf)) > 1 ) return 0;
1927: } else if ( !(HDL(nf)[nd_exporigin] & nd_mask[0]) ) return 0;
1928: }
1.157 noro 1929: if ( DP_Print ) { printf("+"); fflush(stdout); }
1.167 noro 1930: hc = HCU(nf);
1.157 noro 1931: nd_removecont(m,nf);
1932: if ( !m && nd_nalg ) {
1933: nd_monic(0,&nf);
1934: nd_removecont(m,nf);
1935: }
1.172 noro 1936: if ( nd_gentrace ) {
1.167 noro 1937: cont = ndc_div(m,hc,HCU(nf));
1938: if ( m || !UNIQ(cont) ) {
1.196 noro 1939: t = mknode(4,NULLP,NULLP,NULLP,cont);
1.167 noro 1940: MKLIST(list,t); MKNODE(t,list,nd_tracelist);
1941: nd_tracelist = t;
1942: }
1943: }
1.157 noro 1944: nfv = ndtondv(m,nf); nd_free(nf);
1945: nh = ndv_newps(m,nfv,0);
1946: if ( !m && (ishomo && ++diag_count == diag_period) ) {
1947: diag_count = 0;
1948: stat = do_diagonalize(sugar,m);
1949: if ( !stat ) {
1950: NEXT(l) = d; d = l;
1951: d = nd_reconstruct(1,d);
1952: goto again;
1953: }
1954: }
1.168 noro 1955: d = update_pairs(d,g,nh,0);
1.157 noro 1956: g = update_base(g,nh);
1957: FREENDP(l);
1958: } else {
1.172 noro 1959: if ( nd_gentrace && gensyz ) {
1.168 noro 1960: nd_tracelist = reverse_node(nd_tracelist);
1961: MKLIST(list,nd_tracelist);
1962: STOQ(-1,q); t = mknode(2,q,list); MKLIST(list,t);
1963: MKNODE(t,list,nd_alltracelist);
1964: nd_alltracelist = t; nd_tracelist = 0;
1965: }
1.157 noro 1966: if ( DP_Print ) { printf("."); fflush(stdout); }
1967: FREENDP(l);
1968: }
1969: }
1.167 noro 1970: conv_ilist(nd_demand,0,g,indp);
1.157 noro 1971: if ( !checkonly && DP_Print ) { printf("nd_gb done.\n"); fflush(stdout); }
1972: return g;
1.1 noro 1973: }
1974:
1.122 noro 1975: int do_diagonalize_trace(int sugar,int m)
1.91 noro 1976: {
1.157 noro 1977: int i,nh,stat;
1978: NODE r,g,t;
1979: ND h,nf,nfq,s,head;
1980: NDV nfv,nfqv;
1981: Q q,den,num;
1.167 noro 1982: union oNDC hc;
1983: NODE node;
1984: LIST l;
1985: Q iq;
1986: P cont,cont1;
1.157 noro 1987:
1988: for ( i = nd_psn-1; i >= 0 && SG(nd_psh[i]) == sugar; i-- ) {
1.172 noro 1989: if ( nd_gentrace ) {
1.167 noro 1990: /* Trace = [1,index,1,1] */
1991: STOQ(i,iq); node = mknode(4,ONE,iq,ONE,ONE);
1992: MKLIST(l,node); MKNODE(nd_tracelist,l,0);
1993: }
1.157 noro 1994: /* for nd_ps */
1995: s = ndvtond(m,nd_ps[i]);
1996: s = nd_separate_head(s,&head);
1997: stat = nd_nf_pbucket(m,s,nd_ps,1,&nf);
1998: if ( !stat ) return 0;
1999: nf = nd_add(m,head,nf);
2000: ndv_free(nd_ps[i]);
2001: nd_ps[i] = ndtondv(m,nf);
2002: nd_free(nf);
2003:
2004: /* for nd_ps_trace */
2005: if ( nd_demand )
2006: nfv = ndv_load(i);
2007: else
2008: nfv = nd_ps_trace[i];
2009: s = ndvtond(0,nfv);
2010: s = nd_separate_head(s,&head);
2011: stat = nd_nf(0,head,s,nd_ps_trace,1,0,&nf);
2012: if ( !stat ) return 0;
2013: ndv_free(nfv);
1.167 noro 2014: hc = HCU(nf); nd_removecont(0,nf);
2015: cont = ndc_div(0,hc,HCU(nf));
1.172 noro 2016: if ( nd_gentrace ) finalize_tracelist(i,cont);
1.157 noro 2017: nfv = ndtondv(0,nf);
2018: nd_free(nf);
2019: nd_bound[i] = ndv_compute_bound(nfv);
2020: register_hcf(nfv);
2021: if ( nd_demand ) {
2022: ndv_save(nfv,i);
2023: ndv_free(nfv);
2024: } else
2025: nd_ps_trace[i] = nfv;
2026: }
2027: return 1;
1.91 noro 2028: }
2029:
1.118 noro 2030: static struct oEGT eg_invdalg;
2031: struct oEGT eg_le;
2032:
1.147 noro 2033: void nd_subst_vector(VL vl,P p,NODE subst,P *r)
2034: {
1.157 noro 2035: NODE tn;
2036: P p1;
1.147 noro 2037:
1.157 noro 2038: for ( tn = subst; tn; tn = NEXT(NEXT(tn)) ) {
2039: substp(vl,p,BDY(tn),BDY(NEXT(tn)),&p1); p = p1;
2040: }
2041: *r = p;
1.147 noro 2042: }
2043:
1.167 noro 2044: NODE nd_gb_trace(int m,int ishomo,int **indp)
1.20 noro 2045: {
1.157 noro 2046: int i,nh,sugar,stat;
2047: NODE r,g,t;
2048: ND_pairs d;
2049: ND_pairs l;
2050: ND h,nf,nfq,s,head;
2051: NDV nfv,nfqv;
2052: Q q,den,num;
2053: P hc;
1.167 noro 2054: union oNDC dn,hnfq;
1.157 noro 2055: struct oEGT eg_monic,egm0,egm1;
2056: int diag_count = 0;
1.167 noro 2057: P cont;
2058: LIST list;
1.157 noro 2059:
2060: init_eg(&eg_monic);
2061: init_eg(&eg_invdalg);
2062: init_eg(&eg_le);
2063: g = 0; d = 0;
2064: for ( i = 0; i < nd_psn; i++ ) {
1.168 noro 2065: d = update_pairs(d,g,i,0);
1.157 noro 2066: g = update_base(g,i);
2067: }
2068: sugar = 0;
2069: while ( d ) {
1.20 noro 2070: again:
1.157 noro 2071: l = nd_minp(d,&d);
2072: if ( SG(l) != sugar ) {
1.130 noro 2073: #if 1
1.157 noro 2074: if ( ishomo ) {
2075: if ( DP_Print > 2 ) fprintf(asir_out,"|");
2076: stat = do_diagonalize_trace(sugar,m);
2077: if ( DP_Print > 2 ) fprintf(asir_out,"|");
2078: diag_count = 0;
2079: if ( !stat ) {
2080: NEXT(l) = d; d = l;
2081: d = nd_reconstruct(1,d);
2082: goto again;
2083: }
2084: }
1.130 noro 2085: #endif
1.157 noro 2086: sugar = SG(l);
2087: if ( DP_Print ) fprintf(asir_out,"%d",sugar);
2088: }
2089: stat = nd_sp(m,0,l,&h);
2090: if ( !stat ) {
2091: NEXT(l) = d; d = l;
2092: d = nd_reconstruct(1,d);
2093: goto again;
2094: }
1.41 noro 2095: #if USE_GEOBUCKET
1.157 noro 2096: stat = nd_nf_pbucket(m,h,nd_ps,!Top,&nf);
1.41 noro 2097: #else
1.157 noro 2098: stat = nd_nf(m,0,h,nd_ps,!Top,0,&nf);
1.41 noro 2099: #endif
1.157 noro 2100: if ( !stat ) {
2101: NEXT(l) = d; d = l;
2102: d = nd_reconstruct(1,d);
2103: goto again;
2104: } else if ( nf ) {
2105: if ( nd_demand ) {
2106: nfqv = ndv_load(nd_psn);
2107: nfq = ndvtond(0,nfqv);
2108: } else
2109: nfq = 0;
2110: if ( !nfq ) {
2111: if ( !nd_sp(0,1,l,&h) || !nd_nf(0,0,h,nd_ps_trace,!Top,0,&nfq) ) {
2112: NEXT(l) = d; d = l;
2113: d = nd_reconstruct(1,d);
2114: goto again;
2115: }
2116: }
2117: if ( nfq ) {
2118: /* m|HC(nfq) => failure */
2119: if ( nd_vc ) {
2120: nd_subst_vector(nd_vc,HCP(nfq),nd_subst,&hc); q = (Q)hc;
2121: } else
2122: q = HCQ(nfq);
2123: if ( !rem(NM(q),m) ) return 0;
2124:
2125: if ( DP_Print ) { printf("+"); fflush(stdout); }
1.167 noro 2126: hnfq = HCU(nfq);
1.157 noro 2127: if ( nd_nalg ) {
2128: /* m|DN(HC(nf)^(-1)) => failure */
2129: get_eg(&egm0);
2130: if ( !nd_monic(m,&nfq) ) return 0;
2131: get_eg(&egm1); add_eg(&eg_monic,&egm0,&egm1);
2132: nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq);
2133: nfv = ndv_dup(0,nfqv); ndv_mod(m,nfv); nd_free(nf);
2134: } else {
2135: nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq);
2136: nd_removecont(m,nf); nfv = ndtondv(m,nf); nd_free(nf);
2137: }
1.172 noro 2138: if ( nd_gentrace ) {
1.167 noro 2139: cont = ndc_div(0,hnfq,HCU(nfqv));
2140: if ( !UNIQ(cont) ) {
1.196 noro 2141: t = mknode(4,NULLP,NULLP,NULLP,cont);
1.167 noro 2142: MKLIST(list,t); MKNODE(t,list,nd_tracelist);
2143: nd_tracelist = t;
2144: }
2145: }
1.157 noro 2146: nh = ndv_newps(0,nfv,nfqv);
2147: if ( ishomo && ++diag_count == diag_period ) {
2148: diag_count = 0;
2149: if ( DP_Print > 2 ) fprintf(asir_out,"|");
2150: stat = do_diagonalize_trace(sugar,m);
2151: if ( DP_Print > 2 ) fprintf(asir_out,"|");
2152: if ( !stat ) {
2153: NEXT(l) = d; d = l;
2154: d = nd_reconstruct(1,d);
2155: goto again;
2156: }
2157: }
1.168 noro 2158: d = update_pairs(d,g,nh,0);
1.157 noro 2159: g = update_base(g,nh);
2160: } else {
2161: if ( DP_Print ) { printf("*"); fflush(stdout); }
2162: }
2163: } else {
2164: if ( DP_Print ) { printf("."); fflush(stdout); }
2165: }
2166: FREENDP(l);
2167: }
2168: if ( nd_nalg ) {
2169: print_eg("monic",&eg_monic);
2170: print_eg("invdalg",&eg_invdalg);
2171: print_eg("le",&eg_le);
2172: }
1.167 noro 2173: conv_ilist(nd_demand,1,g,indp);
1.157 noro 2174: if ( DP_Print ) { printf("nd_gb_trace done.\n"); fflush(stdout); }
2175: return g;
1.20 noro 2176: }
2177:
1.23 noro 2178: int ndv_compare(NDV *p1,NDV *p2)
2179: {
1.157 noro 2180: return DL_COMPARE(HDL(*p1),HDL(*p2));
1.23 noro 2181: }
2182:
2183: int ndv_compare_rev(NDV *p1,NDV *p2)
2184: {
1.157 noro 2185: return -DL_COMPARE(HDL(*p1),HDL(*p2));
1.23 noro 2186: }
2187:
1.167 noro 2188: int ndvi_compare(NDVI p1,NDVI p2)
2189: {
2190: return DL_COMPARE(HDL(p1->p),HDL(p2->p));
2191: }
2192:
2193: int ndvi_compare_rev(NDVI p1,NDVI p2)
2194: {
2195: return -DL_COMPARE(HDL(p1->p),HDL(p2->p));
2196: }
2197:
1.61 noro 2198: NODE ndv_reduceall(int m,NODE f)
1.23 noro 2199: {
1.167 noro 2200: int i,j,n,stat;
1.157 noro 2201: ND nf,g,head;
2202: NODE t,a0,a;
2203: union oNDC dn;
2204: Q q,num,den;
1.167 noro 2205: NODE node;
2206: LIST l;
2207: Q iq,jq;
2208: int *perm;
2209: union oNDC hc;
2210: P cont,cont1;
1.23 noro 2211:
1.173 noro 2212: if ( nd_nora ) return f;
1.157 noro 2213: n = length(f);
2214: ndv_setup(m,0,f,0,1);
1.167 noro 2215: perm = (int *)MALLOC(n*sizeof(int));
1.172 noro 2216: if ( nd_gentrace ) {
1.167 noro 2217: for ( t = nd_tracelist, i = 0; i < n; i++, t = NEXT(t) )
2218: perm[i] = QTOS((Q)ARG1(BDY((LIST)BDY(t))));
2219: }
1.157 noro 2220: for ( i = 0; i < n; ) {
1.172 noro 2221: if ( nd_gentrace ) {
1.167 noro 2222: /* Trace = [1,index,1,1] */
2223: STOQ(i,iq); node = mknode(4,ONE,iq,ONE,ONE);
2224: MKLIST(l,node); MKNODE(nd_tracelist,l,0);
2225: }
1.157 noro 2226: g = ndvtond(m,nd_ps[i]);
2227: g = nd_separate_head(g,&head);
2228: stat = nd_nf(m,head,g,nd_ps,1,0,&nf);
2229: if ( !stat )
2230: nd_reconstruct(0,0);
2231: else {
2232: if ( DP_Print ) { printf("."); fflush(stdout); }
2233: ndv_free(nd_ps[i]);
1.167 noro 2234: hc = HCU(nf); nd_removecont(m,nf);
1.172 noro 2235: if ( nd_gentrace ) {
1.167 noro 2236: for ( t = nd_tracelist; t; t = NEXT(t) ) {
2237: jq = ARG1(BDY((LIST)BDY(t))); j = QTOS(jq);
2238: STOQ(perm[j],jq); ARG1(BDY((LIST)BDY(t))) = jq;
2239: }
2240: cont = ndc_div(m,hc,HCU(nf));
2241: finalize_tracelist(perm[i],cont);
2242: }
1.157 noro 2243: nd_ps[i] = ndtondv(m,nf); nd_free(nf);
2244: nd_bound[i] = ndv_compute_bound(nd_ps[i]);
2245: i++;
2246: }
2247: }
2248: if ( DP_Print ) { printf("\n"); }
2249: for ( a0 = 0, i = 0; i < n; i++ ) {
2250: NEXTNODE(a0,a);
1.172 noro 2251: if ( !nd_gentrace ) BDY(a) = (pointer)nd_ps[i];
1.167 noro 2252: else {
2253: for ( j = 0; j < n; j++ ) if ( perm[j] == i ) break;
2254: BDY(a) = (pointer)nd_ps[j];
2255: }
1.157 noro 2256: }
2257: NEXT(a) = 0;
2258: return a0;
1.23 noro 2259: }
2260:
1.168 noro 2261: ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t, int gensyz)
1.1 noro 2262: {
1.157 noro 2263: ND_pairs d1,nd,cur,head,prev,remove;
1.1 noro 2264:
1.157 noro 2265: if ( !g ) return d;
1.168 noro 2266: /* for testing */
1.172 noro 2267: if ( gensyz && nd_gensyz == 2 ) {
1.168 noro 2268: d1 = nd_newpairs(g,t);
2269: if ( !d )
2270: return d1;
2271: else {
2272: nd = d;
2273: while ( NEXT(nd) ) nd = NEXT(nd);
2274: NEXT(nd) = d1;
2275: return d;
2276: }
2277: }
1.157 noro 2278: d = crit_B(d,t);
2279: d1 = nd_newpairs(g,t);
2280: d1 = crit_M(d1);
2281: d1 = crit_F(d1);
1.168 noro 2282: if ( gensyz || do_weyl )
1.157 noro 2283: head = d1;
2284: else {
2285: prev = 0; cur = head = d1;
2286: while ( cur ) {
2287: if ( crit_2( cur->i1,cur->i2 ) ) {
2288: remove = cur;
2289: if ( !prev ) head = cur = NEXT(cur);
2290: else cur = NEXT(prev) = NEXT(cur);
2291: FREENDP(remove);
2292: } else {
2293: prev = cur; cur = NEXT(cur);
2294: }
2295: }
2296: }
2297: if ( !d )
2298: return head;
2299: else {
2300: nd = d;
2301: while ( NEXT(nd) ) nd = NEXT(nd);
2302: NEXT(nd) = head;
2303: return d;
2304: }
1.1 noro 2305: }
2306:
1.157 noro 2307:
1.1 noro 2308: ND_pairs nd_newpairs( NODE g, int t )
2309: {
1.157 noro 2310: NODE h;
2311: UINT *dl;
1.187 noro 2312: int ts,s,i,t0,min,max;
1.157 noro 2313: ND_pairs r,r0;
2314:
2315: dl = DL(nd_psh[t]);
2316: ts = SG(nd_psh[t]) - TD(dl);
1.195 noro 2317: if ( nd_module && nd_intersect && (MPOS(dl) > 1) ) return 0;
1.157 noro 2318: for ( r0 = 0, h = g; h; h = NEXT(h) ) {
1.159 noro 2319: if ( nd_module && (MPOS(DL(nd_psh[(long)BDY(h)])) != MPOS(dl)) )
1.157 noro 2320: continue;
1.187 noro 2321: if ( nd_gbblock ) {
2322: t0 = (long)BDY(h);
2323: for ( i = 0; nd_gbblock[i] >= 0; i += 2 ) {
2324: min = nd_gbblock[i]; max = nd_gbblock[i+1];
2325: if ( t0 >= min && t0 <= max && t >= min && t <= max )
2326: break;
2327: }
1.188 noro 2328: if ( nd_gbblock[i] >= 0 )
1.187 noro 2329: continue;
2330: }
1.157 noro 2331: NEXTND_pairs(r0,r);
1.159 noro 2332: r->i1 = (long)BDY(h);
1.157 noro 2333: r->i2 = t;
2334: ndl_lcm(DL(nd_psh[r->i1]),dl,r->lcm);
2335: s = SG(nd_psh[r->i1])-TD(DL(nd_psh[r->i1]));
2336: SG(r) = MAX(s,ts) + TD(LCM(r));
2337: }
2338: if ( r0 ) NEXT(r) = 0;
2339: return r0;
1.1 noro 2340: }
2341:
1.157 noro 2342: /* kokokara */
2343:
1.1 noro 2344: ND_pairs crit_B( ND_pairs d, int s )
2345: {
1.157 noro 2346: ND_pairs cur,head,prev,remove;
2347: UINT *t,*tl,*lcm;
2348: int td,tdl;
2349:
2350: if ( !d ) return 0;
2351: t = DL(nd_psh[s]);
2352: prev = 0;
2353: head = cur = d;
2354: lcm = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
2355: while ( cur ) {
2356: tl = cur->lcm;
1.163 noro 2357: if ( ndl_reducible(tl,t) ) {
2358: ndl_lcm(DL(nd_psh[cur->i1]),t,lcm);
1.167 noro 2359: if ( !ndl_equal(lcm,tl) ) {
2360: ndl_lcm(DL(nd_psh[cur->i2]),t,lcm);
2361: if (!ndl_equal(lcm,tl)) {
2362: remove = cur;
2363: if ( !prev ) {
2364: head = cur = NEXT(cur);
2365: } else {
2366: cur = NEXT(prev) = NEXT(cur);
2367: }
2368: FREENDP(remove);
2369: } else {
2370: prev = cur; cur = NEXT(cur);
2371: }
2372: } else {
2373: prev = cur; cur = NEXT(cur);
2374: }
1.157 noro 2375: } else {
2376: prev = cur; cur = NEXT(cur);
2377: }
2378: }
2379: return head;
1.1 noro 2380: }
2381:
2382: ND_pairs crit_M( ND_pairs d1 )
2383: {
1.157 noro 2384: ND_pairs e,d2,d3,dd,p;
2385: UINT *id,*jd;
1.1 noro 2386:
1.157 noro 2387: if ( !d1 ) return d1;
2388: for ( dd = 0, e = d1; e; e = d3 ) {
2389: if ( !(d2 = NEXT(e)) ) {
2390: NEXT(e) = dd;
2391: return e;
2392: }
2393: id = LCM(e);
2394: for ( d3 = 0; d2; d2 = p ) {
2395: p = NEXT(d2);
2396: jd = LCM(d2);
2397: if ( ndl_equal(jd,id) )
2398: ;
2399: else if ( TD(jd) > TD(id) )
2400: if ( ndl_reducible(jd,id) ) continue;
2401: else ;
2402: else if ( ndl_reducible(id,jd) ) goto delit;
2403: NEXT(d2) = d3;
2404: d3 = d2;
2405: }
2406: NEXT(e) = dd;
2407: dd = e;
2408: continue;
2409: /**/
2410: delit: NEXT(d2) = d3;
2411: d3 = d2;
2412: for ( ; p; p = d2 ) {
2413: d2 = NEXT(p);
2414: NEXT(p) = d3;
2415: d3 = p;
2416: }
2417: FREENDP(e);
2418: }
2419: return dd;
1.1 noro 2420: }
2421:
2422: ND_pairs crit_F( ND_pairs d1 )
2423: {
1.157 noro 2424: ND_pairs rest, head,remove;
2425: ND_pairs last, p, r, w;
2426: int s;
2427:
2428: if ( !d1 ) return d1;
2429: for ( head = last = 0, p = d1; NEXT(p); ) {
2430: r = w = equivalent_pairs(p,&rest);
2431: s = SG(r);
2432: w = NEXT(w);
2433: while ( w ) {
2434: if ( crit_2(w->i1,w->i2) ) {
2435: r = w;
2436: w = NEXT(w);
2437: while ( w ) {
2438: remove = w;
2439: w = NEXT(w);
2440: FREENDP(remove);
2441: }
2442: break;
2443: } else if ( SG(w) < s ) {
2444: FREENDP(r);
2445: r = w;
2446: s = SG(r);
2447: w = NEXT(w);
2448: } else {
2449: remove = w;
2450: w = NEXT(w);
2451: FREENDP(remove);
2452: }
2453: }
2454: if ( last ) NEXT(last) = r;
2455: else head = r;
2456: NEXT(last = r) = 0;
2457: p = rest;
2458: if ( !p ) return head;
2459: }
2460: if ( !last ) return p;
2461: NEXT(last) = p;
2462: return head;
1.1 noro 2463: }
2464:
2465: int crit_2( int dp1, int dp2 )
2466: {
1.157 noro 2467: return ndl_disjoint(DL(nd_psh[dp1]),DL(nd_psh[dp2]));
1.1 noro 2468: }
2469:
1.40 noro 2470: ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest )
1.1 noro 2471: {
1.157 noro 2472: ND_pairs w,p,r,s;
2473: UINT *d;
1.1 noro 2474:
1.157 noro 2475: w = d1;
2476: d = LCM(w);
2477: s = NEXT(w);
2478: NEXT(w) = 0;
2479: for ( r = 0; s; s = p ) {
2480: p = NEXT(s);
2481: if ( ndl_equal(d,LCM(s)) ) {
2482: NEXT(s) = w; w = s;
2483: } else {
2484: NEXT(s) = r; r = s;
2485: }
2486: }
2487: *prest = r;
2488: return w;
1.1 noro 2489: }
2490:
2491: NODE update_base(NODE nd,int ndp)
2492: {
1.157 noro 2493: UINT *dl, *dln;
2494: NODE last, p, head;
1.1 noro 2495:
1.157 noro 2496: dl = DL(nd_psh[ndp]);
2497: for ( head = last = 0, p = nd; p; ) {
1.159 noro 2498: dln = DL(nd_psh[(long)BDY(p)]);
1.157 noro 2499: if ( ndl_reducible( dln, dl ) ) {
2500: p = NEXT(p);
2501: if ( last ) NEXT(last) = p;
2502: } else {
2503: if ( !last ) head = p;
2504: p = NEXT(last = p);
2505: }
2506: }
2507: head = append_one(head,ndp);
2508: return head;
1.1 noro 2509: }
2510:
2511: ND_pairs nd_minp( ND_pairs d, ND_pairs *prest )
2512: {
1.157 noro 2513: ND_pairs m,ml,p,l;
2514: UINT *lcm;
2515: int s,td,len,tlen,c,c1;
2516:
2517: if ( !(p = NEXT(m = d)) ) {
2518: *prest = p;
2519: NEXT(m) = 0;
2520: return m;
2521: }
2522: s = SG(m);
2523: if ( !NoSugar ) {
2524: for ( ml = 0, l = m; p; p = NEXT(l = p) )
2525: if ( (SG(p) < s)
2526: || ((SG(p) == s) && (DL_COMPARE(LCM(p),LCM(m)) < 0)) ) {
2527: ml = l; m = p; s = SG(m);
2528: }
2529: } else {
2530: for ( ml = 0, l = m; p; p = NEXT(l = p) )
2531: if ( DL_COMPARE(LCM(p),LCM(m)) < 0 ) {
2532: ml = l; m = p; s = SG(m);
2533: }
2534: }
2535: if ( !ml ) *prest = NEXT(m);
2536: else {
2537: NEXT(ml) = NEXT(m);
2538: *prest = d;
2539: }
2540: NEXT(m) = 0;
2541: return m;
1.1 noro 2542: }
2543:
1.63 noro 2544: ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest )
2545: {
1.157 noro 2546: int msugar,i;
2547: ND_pairs t,dm0,dm,dr0,dr;
1.63 noro 2548:
1.157 noro 2549: for ( msugar = SG(d), t = NEXT(d); t; t = NEXT(t) )
2550: if ( SG(t) < msugar ) msugar = SG(t);
2551: dm0 = 0; dr0 = 0;
2552: for ( i = 0, t = d; t; t = NEXT(t) )
2553: if ( i < nd_f4_nsp && SG(t) == msugar ) {
2554: if ( dm0 ) NEXT(dm) = t;
2555: else dm0 = t;
2556: dm = t;
2557: i++;
2558: } else {
2559: if ( dr0 ) NEXT(dr) = t;
2560: else dr0 = t;
2561: dr = t;
2562: }
2563: NEXT(dm) = 0;
2564: if ( dr0 ) NEXT(dr) = 0;
2565: *prest = dr0;
2566: return dm0;
1.63 noro 2567: }
2568:
1.77 noro 2569: int ndv_newps(int m,NDV a,NDV aq)
1.1 noro 2570: {
1.157 noro 2571: int len;
2572: RHist r;
2573: NDV b;
1.167 noro 2574: NODE tn;
2575: LIST l;
2576: Q iq;
1.157 noro 2577:
2578: if ( nd_psn == nd_pslen ) {
2579: nd_pslen *= 2;
2580: nd_ps = (NDV *)REALLOC((char *)nd_ps,nd_pslen*sizeof(NDV));
2581: nd_ps_trace = (NDV *)REALLOC((char *)nd_ps_trace,nd_pslen*sizeof(NDV));
2582: nd_psh = (RHist *)REALLOC((char *)nd_psh,nd_pslen*sizeof(RHist));
2583: nd_bound = (UINT **)
2584: REALLOC((char *)nd_bound,nd_pslen*sizeof(UINT *));
2585: }
2586: NEWRHist(r); nd_psh[nd_psn] = r;
2587: nd_ps[nd_psn] = a;
2588: if ( aq ) {
2589: nd_ps_trace[nd_psn] = aq;
2590: register_hcf(aq);
2591: nd_bound[nd_psn] = ndv_compute_bound(aq);
2592: SG(r) = SG(aq); ndl_copy(HDL(aq),DL(r));
2593: } else {
2594: if ( !m ) register_hcf(a);
2595: nd_bound[nd_psn] = ndv_compute_bound(a);
2596: SG(r) = SG(a); ndl_copy(HDL(a),DL(r));
2597: }
2598: if ( nd_demand ) {
2599: if ( aq ) {
2600: ndv_save(nd_ps_trace[nd_psn],nd_psn);
2601: nd_ps_trace[nd_psn] = 0;
2602: } else {
2603: ndv_save(nd_ps[nd_psn],nd_psn);
2604: nd_ps[nd_psn] = 0;
2605: }
2606: }
1.172 noro 2607: if ( nd_gentrace ) {
1.167 noro 2608: /* reverse the tracelist and append it to alltracelist */
2609: nd_tracelist = reverse_node(nd_tracelist); MKLIST(l,nd_tracelist);
2610: STOQ(nd_psn,iq); tn = mknode(2,iq,l); MKLIST(l,tn);
2611: MKNODE(tn,l,nd_alltracelist); nd_alltracelist = tn; nd_tracelist = 0;
2612: }
1.157 noro 2613: return nd_psn++;
1.1 noro 2614: }
2615:
1.167 noro 2616: /* nd_tracelist = [[0,index,div],...,[nd_psn-1,index,div]] */
1.177 noro 2617: /* return 1 if success, 0 if failure (HC(a mod p)) */
1.167 noro 2618:
1.177 noro 2619: int ndv_setup(int mod,int trace,NODE f,int dont_sort,int dont_removecont)
1.1 noro 2620: {
1.157 noro 2621: int i,j,td,len,max;
1.167 noro 2622: NODE s,s0,f0,tn;
1.157 noro 2623: UINT *d;
2624: RHist r;
1.167 noro 2625: NDVI w;
1.157 noro 2626: NDV a,am;
1.167 noro 2627: union oNDC hc;
2628: NODE node;
2629: P hcp;
2630: Q iq,jq,hcq;
2631: LIST l;
1.157 noro 2632:
2633: nd_found = 0; nd_notfirst = 0; nd_create = 0;
1.167 noro 2634: /* initialize the tracelist */
2635: nd_tracelist = 0;
1.157 noro 2636:
2637: for ( nd_psn = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) nd_psn++;
1.167 noro 2638: w = (NDVI)ALLOCA(nd_psn*sizeof(struct oNDVI));
2639: for ( i = j = 0, s = f; s; s = NEXT(s), j++ )
2640: if ( BDY(s) ) { w[i].p = BDY(s); w[i].i = j; i++; }
1.157 noro 2641: if ( !dont_sort ) {
2642: /* XXX heuristic */
2643: if ( !nd_ord->id && (nd_ord->ord.simple<2) )
1.167 noro 2644: qsort(w,nd_psn,sizeof(struct oNDVI),
2645: (int (*)(const void *,const void *))ndvi_compare_rev);
1.157 noro 2646: else
1.167 noro 2647: qsort(w,nd_psn,sizeof(struct oNDVI),
2648: (int (*)(const void *,const void *))ndvi_compare);
1.157 noro 2649: }
2650: nd_pslen = 2*nd_psn;
2651: nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV));
2652: nd_ps_trace = (NDV *)MALLOC(nd_pslen*sizeof(NDV));
2653: nd_psh = (RHist *)MALLOC(nd_pslen*sizeof(RHist));
2654: nd_bound = (UINT **)MALLOC(nd_pslen*sizeof(UINT *));
2655: nd_hcf = 0;
2656:
2657: if ( trace && nd_vc )
2658: makesubst(nd_vc,&nd_subst);
2659: else
2660: nd_subst = 0;
2661:
2662: if ( !nd_red )
2663: nd_red = (RHist *)MALLOC(REDTAB_LEN*sizeof(RHist));
2664: for ( i = 0; i < REDTAB_LEN; i++ ) nd_red[i] = 0;
2665: for ( i = 0; i < nd_psn; i++ ) {
1.167 noro 2666: hc = HCU(w[i].p);
1.157 noro 2667: if ( trace ) {
1.167 noro 2668: a = nd_ps_trace[i] = ndv_dup(0,w[i].p);
1.157 noro 2669: if ( !dont_removecont) ndv_removecont(0,a);
2670: register_hcf(a);
2671: am = nd_ps[i] = ndv_dup(mod,a);
2672: ndv_mod(mod,am);
1.177 noro 2673: if ( DL_COMPARE(HDL(am),HDL(a)) )
2674: return 0;
1.157 noro 2675: ndv_removecont(mod,am);
2676: } else {
1.167 noro 2677: a = nd_ps[i] = ndv_dup(mod,w[i].p);
1.157 noro 2678: if ( mod || !dont_removecont ) ndv_removecont(mod,a);
2679: if ( !mod ) register_hcf(a);
2680: }
1.172 noro 2681: if ( nd_gentrace ) {
1.167 noro 2682: STOQ(i,iq); STOQ(w[i].i,jq); node = mknode(3,iq,jq,ONE);
1.168 noro 2683: if ( !dont_removecont )
2684: ARG2(node) = (pointer)ndc_div(trace?0:mod,hc,HCU(a));
1.167 noro 2685: MKLIST(l,node); NEXTNODE(nd_tracelist,tn); BDY(tn) = l;
2686: }
1.157 noro 2687: NEWRHist(r); SG(r) = HTD(a); ndl_copy(HDL(a),DL(r));
2688: nd_bound[i] = ndv_compute_bound(a);
2689: nd_psh[i] = r;
2690: if ( nd_demand ) {
2691: if ( trace ) {
2692: ndv_save(nd_ps_trace[i],i);
2693: nd_ps_trace[i] = 0;
2694: } else {
2695: ndv_save(nd_ps[i],i);
2696: nd_ps[i] = 0;
2697: }
2698: }
2699: }
1.172 noro 2700: if ( nd_gentrace && nd_tracelist ) NEXT(tn) = 0;
1.177 noro 2701: return 1;
1.20 noro 2702: }
2703:
1.119 noro 2704: struct order_spec *append_block(struct order_spec *spec,
2705: int nv,int nalg,int ord);
2706:
1.121 noro 2707: extern VECT current_dl_weight_vector_obj;
2708: static VECT prev_weight_vector_obj;
2709:
1.120 noro 2710: void preprocess_algcoef(VL vv,VL av,struct order_spec *ord,LIST f,
1.157 noro 2711: struct order_spec **ord1p,LIST *f1p,NODE *alistp)
1.120 noro 2712: {
1.157 noro 2713: NODE alist,t,s,r0,r,arg;
2714: VL tv;
2715: P poly;
2716: DP d;
2717: Alg alpha,dp;
2718: DAlg inv,da,hc;
2719: MP m;
2720: int i,nvar,nalg,n;
2721: NumberField nf;
2722: LIST f1,f2;
2723: struct order_spec *current_spec;
2724: VECT obj,obj0;
2725: Obj tmp;
2726:
2727: for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++);
2728: for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++);
2729:
2730: for ( alist = 0, tv = av; tv; tv = NEXT(tv) ) {
2731: NEXTNODE(alist,t); MKV(tv->v,poly);
2732: MKAlg(poly,alpha); BDY(t) = (pointer)alpha;
2733: tv->v = tv->v->priv;
2734: }
2735: NEXT(t) = 0;
2736:
1.167 noro 2737: /* simplification, making polynomials monic */
1.157 noro 2738: setfield_dalg(alist);
2739: obj_algtodalg(f,&f1);
2740: for ( t = BDY(f); t; t = NEXT(t) ) {
2741: initd(ord); ptod(vv,vv,(P)BDY(t),&d);
2742: hc = (DAlg)BDY(d)->c;
2743: if ( NID(hc) == N_DA ) {
2744: invdalg(hc,&inv);
2745: for ( m = BDY(d); m; m = NEXT(m) ) {
2746: muldalg(inv,(DAlg)m->c,&da); m->c = (P)da;
2747: }
2748: }
2749: initd(ord); dtop(vv,vv,d,&poly); BDY(f) = (pointer)poly;
2750: }
2751: obj_dalgtoalg(f1,&f);
2752:
2753: /* append alg vars to the var list */
2754: for ( tv = vv; NEXT(tv); tv = NEXT(tv) );
2755: NEXT(tv) = av;
2756:
2757: /* append a block to ord */
2758: *ord1p = append_block(ord,nvar,nalg,2);
2759:
2760: /* create generator list */
2761: nf = get_numberfield();
2762: for ( i = nalg-1, t = BDY(f); i >= 0; i-- ) {
2763: MKAlg(nf->defpoly[i],dp);
2764: MKNODE(s,dp,t); t = s;
2765: }
2766: MKLIST(f1,t);
2767: *alistp = alist;
2768: algobjtorat(f1,f1p);
2769:
2770: /* creating a new weight vector */
2771: prev_weight_vector_obj = obj0 = current_dl_weight_vector_obj;
2772: n = nvar+nalg+1;
2773: MKVECT(obj,n);
2774: if ( obj0 && obj0->len == nvar )
2775: for ( i = 0; i < nvar; i++ ) BDY(obj)[i] = BDY(obj0)[i];
2776: else
2777: for ( i = 0; i < nvar; i++ ) BDY(obj)[i] = (pointer)ONE;
2778: for ( i = 0; i < nalg; i++ ) BDY(obj)[i+nvar] = 0;
2779: BDY(obj)[n-1] = (pointer)ONE;
2780: arg = mknode(1,obj);
2781: Pdp_set_weight(arg,&tmp);
1.121 noro 2782: }
2783:
2784: NODE postprocess_algcoef(VL av,NODE alist,NODE r)
2785: {
1.157 noro 2786: NODE s,t,u0,u;
2787: P p;
2788: VL tv;
2789: Obj obj,tmp;
2790: NODE arg;
2791:
2792: u0 = 0;
2793: for ( t = r; t; t = NEXT(t) ) {
2794: p = (P)BDY(t);
2795: for ( tv = av, s = alist; tv; tv = NEXT(tv), s = NEXT(s) ) {
2796: substr(CO,0,(Obj)p,tv->v,(Obj)BDY(s),&obj); p = (P)obj;
2797: }
2798: if ( OID(p) == O_P || (OID(p) == O_N && NID((Num)p) != N_A) ) {
2799: NEXTNODE(u0,u);
2800: BDY(u) = (pointer)p;
2801: }
2802: }
2803: arg = mknode(1,prev_weight_vector_obj);
2804: Pdp_set_weight(arg,&tmp);
1.121 noro 2805:
1.157 noro 2806: return u0;
1.120 noro 2807: }
2808:
1.199 noro 2809: void nd_gr(LIST f,LIST v,int m,int homo,int retdp,int f4,struct order_spec *ord,LIST *rp)
1.1 noro 2810: {
1.157 noro 2811: VL tv,fv,vv,vc,av;
2812: NODE fd,fd0,r,r0,t,x,s,xx,alist;
2813: int e,max,nvar,i;
2814: NDV b;
1.184 noro 2815: int ishomo,nalg,mrank,trank,wmax,len;
2816: NMV a;
1.157 noro 2817: Alg alpha,dp;
2818: P p,zp;
2819: Q dmy;
2820: LIST f1,f2,zpl;
2821: Obj obj;
2822: NumberField nf;
2823: struct order_spec *ord1;
1.170 noro 2824: NODE tr,tl1,tl2,tl3,tl4;
2825: LIST l1,l2,l3,l4,l5;
1.167 noro 2826: int j;
1.198 noro 2827: Q jq,bpe;
1.167 noro 2828: int *perm;
1.170 noro 2829: EPOS oepos;
1.194 noro 2830: int obpe,oadv,ompos,cbpe;
1.1 noro 2831:
1.174 noro 2832: nd_module = 0;
1.157 noro 2833: if ( !m && Demand ) nd_demand = 1;
2834: else nd_demand = 0;
1.172 noro 2835: parse_nd_option(current_option);
1.78 noro 2836:
1.157 noro 2837: if ( DP_Multiple )
2838: nd_scale = ((double)DP_Multiple)/(double)(Denominator?Denominator:1);
1.103 noro 2839: #if 0
1.157 noro 2840: ndv_alloc = 0;
1.103 noro 2841: #endif
1.157 noro 2842: get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
2843: for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
2844: switch ( ord->id ) {
2845: case 1:
2846: if ( ord->nv != nvar )
2847: error("nd_{gr,f4} : invalid order specification");
2848: break;
2849: default:
2850: break;
2851: }
2852: nd_nalg = 0;
2853: av = 0;
2854: if ( !m ) {
2855: get_algtree((Obj)f,&av);
2856: for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ );
2857: nd_ntrans = nvar;
2858: nd_nalg = nalg;
2859: /* #i -> t#i */
2860: if ( nalg ) {
2861: preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist);
2862: ord = ord1;
2863: f = f1;
2864: }
2865: nvar += nalg;
2866: }
2867: nd_init_ord(ord);
2868: mrank = 0;
1.178 noro 2869: for ( t = BDY(f), max = 1; t; t = NEXT(t) )
1.157 noro 2870: for ( tv = vv; tv; tv = NEXT(tv) ) {
2871: if ( nd_module ) {
2872: s = BDY((LIST)BDY(t));
2873: trank = length(s);
2874: mrank = MAX(mrank,trank);
2875: for ( ; s; s = NEXT(s) ) {
2876: e = getdeg(tv->v,(P)BDY(s));
2877: max = MAX(e,max);
2878: }
2879: } else {
2880: e = getdeg(tv->v,(P)BDY(t));
2881: max = MAX(e,max);
2882: }
2883: }
2884: nd_setup_parameters(nvar,max);
1.170 noro 2885: obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; ompos = nd_mpos;
1.157 noro 2886: ishomo = 1;
2887: for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
1.167 noro 2888: if ( nd_module ) {
1.172 noro 2889: if ( !m && !nd_gentrace ) pltozpl((LIST)BDY(t),&dmy,&zpl);
1.167 noro 2890: else zpl = (LIST)BDY(t);
1.157 noro 2891: b = (pointer)pltondv(CO,vv,zpl);
2892: } else {
1.172 noro 2893: if ( !m && !nd_gentrace ) ptozp((P)BDY(t),1,&dmy,&zp);
1.167 noro 2894: else zp = (P)BDY(t);
1.157 noro 2895: b = (pointer)ptondv(CO,vv,zp);
1.167 noro 2896: }
1.157 noro 2897: if ( ishomo )
2898: ishomo = ishomo && ndv_ishomo(b);
2899: if ( m ) ndv_mod(m,b);
2900: if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; }
2901: }
2902: if ( fd0 ) NEXT(fd) = 0;
1.184 noro 2903:
2904: if ( !ishomo && homo ) {
2905: for ( t = fd0, wmax = max; t; t = NEXT(t) ) {
2906: b = (NDV)BDY(t); len = LEN(b);
2907: for ( a = BDY(b), i = 0; i < len; i++, NMV_ADV(a) )
2908: wmax = MAX(TD(DL(a)),wmax);
2909: }
2910: homogenize_order(ord,nvar,&ord1);
2911: nd_init_ord(ord1);
2912: nd_setup_parameters(nvar+1,wmax);
2913: for ( t = fd0; t; t = NEXT(t) )
2914: ndv_homogenize((NDV)BDY(t),obpe,oadv,oepos,ompos);
2915: }
2916:
1.187 noro 2917: ndv_setup(m,0,fd0,nd_gbblock?1:0,0);
1.172 noro 2918: if ( nd_gentrace ) {
1.167 noro 2919: MKLIST(l1,nd_tracelist); MKNODE(nd_alltracelist,l1,0);
2920: }
1.186 noro 2921: x = f4?nd_f4(m,&perm):nd_gb(m,ishomo || homo,0,0,&perm);
1.192 noro 2922: if ( !x ) {
2923: *rp = 0; return;
2924: }
1.184 noro 2925: if ( !ishomo && homo ) {
2926: /* dehomogenization */
2927: for ( t = x; t; t = NEXT(t) ) ndv_dehomogenize((NDV)BDY(t),ord);
2928: nd_init_ord(ord);
2929: nd_setup_parameters(nvar,0);
2930: }
1.157 noro 2931: nd_demand = 0;
1.195 noro 2932: if ( nd_module && nd_intersect ) {
2933: for ( j = nd_psn-1, x = 0; j >= 0; j-- )
2934: if ( MPOS(DL(nd_psh[j])) > 1 ) {
2935: MKNODE(xx,(pointer)j,x); x = xx;
2936: }
2937: conv_ilist(nd_demand,0,x,0);
2938: goto FINAL;
2939: }
1.167 noro 2940: x = ndv_reducebase(x,perm);
1.172 noro 2941: if ( nd_gentrace ) { tl1 = nd_alltracelist; nd_alltracelist = 0; }
1.157 noro 2942: x = ndv_reduceall(m,x);
1.194 noro 2943: cbpe = nd_bpe;
1.172 noro 2944: if ( nd_gentrace ) {
1.170 noro 2945: tl2 = nd_alltracelist; nd_alltracelist = 0;
2946: ndv_check_membership(m,fd0,obpe,oadv,oepos,x);
1.198 noro 2947: tl3 = nd_alltracelist; nd_alltracelist = 0;
2948: if ( nd_gensyz ) {
2949: nd_gb(m,0,1,1,0);
1.170 noro 2950: tl4 = nd_alltracelist; nd_alltracelist = 0;
2951: } else tl4 = 0;
2952: }
1.194 noro 2953: nd_bpe = cbpe;
2954: nd_setup_parameters(nd_nvar,0);
1.195 noro 2955: FINAL:
1.157 noro 2956: for ( r0 = 0, t = x; t; t = NEXT(t) ) {
2957: NEXTNODE(r0,r);
1.194 noro 2958: if ( nd_module ) BDY(r) = ndvtopl(m,CO,vv,BDY(t),mrank);
1.199 noro 2959: else if ( retdp ) BDY(r) = ndvtodp(m,BDY(t));
2960: else BDY(r) = ndvtop(m,CO,vv,BDY(t));
1.157 noro 2961: }
2962: if ( r0 ) NEXT(r) = 0;
2963: if ( nalg )
2964: r0 = postprocess_algcoef(av,alist,r0);
2965: MKLIST(*rp,r0);
1.172 noro 2966: if ( nd_gentrace ) {
1.167 noro 2967: tl1 = reverse_node(tl1); tl2 = reverse_node(tl2);
1.170 noro 2968: tl3 = reverse_node(tl3);
1.167 noro 2969: /* tl2 = [[i,[[*,j,*,*],...]],...] */
2970: for ( t = tl2; t; t = NEXT(t) ) {
2971: /* s = [i,[*,j,*,*],...] */
2972: s = BDY((LIST)BDY(t));
2973: j = perm[QTOS((Q)ARG0(s))]; STOQ(j,jq); ARG0(s) = (pointer)jq;
2974: for ( s = BDY((LIST)ARG1(s)); s; s = NEXT(s) ) {
2975: j = perm[QTOS((Q)ARG1(BDY((LIST)BDY(s))))]; STOQ(j,jq);
2976: ARG1(BDY((LIST)BDY(s))) = (pointer)jq;
2977: }
2978: }
2979: for ( j = length(x)-1, t = 0; j >= 0; j-- ) {
2980: STOQ(perm[j],jq); MKNODE(s,jq,t); t = s;
2981: }
1.198 noro 2982: MKLIST(l1,tl1); MKLIST(l2,tl2); MKLIST(l3,t); MKLIST(l4,tl3);
2983: MKLIST(l5,tl4);
2984: STOQ(nd_bpe,bpe);
2985: tr = mknode(8,*rp,(!ishomo&&homo)?ONE:0,l1,l2,l3,l4,l5,bpe); MKLIST(*rp,tr);
1.167 noro 2986: }
1.103 noro 2987: #if 0
1.157 noro 2988: fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc);
1.103 noro 2989: #endif
1.127 noro 2990: }
2991:
2992: void nd_gr_postproc(LIST f,LIST v,int m,struct order_spec *ord,int do_check,LIST *rp)
2993: {
1.157 noro 2994: VL tv,fv,vv,vc,av;
2995: NODE fd,fd0,r,r0,t,x,s,xx,alist;
2996: int e,max,nvar,i;
2997: NDV b;
2998: int ishomo,nalg;
2999: Alg alpha,dp;
3000: P p,zp;
3001: Q dmy;
3002: LIST f1,f2;
3003: Obj obj;
3004: NumberField nf;
3005: struct order_spec *ord1;
1.167 noro 3006: int *perm;
1.157 noro 3007:
1.197 noro 3008: parse_nd_option(current_option);
1.157 noro 3009: get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
3010: for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
3011: switch ( ord->id ) {
3012: case 1:
3013: if ( ord->nv != nvar )
3014: error("nd_check : invalid order specification");
3015: break;
3016: default:
3017: break;
3018: }
3019: nd_nalg = 0;
3020: av = 0;
3021: if ( !m ) {
3022: get_algtree((Obj)f,&av);
3023: for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ );
3024: nd_ntrans = nvar;
3025: nd_nalg = nalg;
3026: /* #i -> t#i */
3027: if ( nalg ) {
3028: preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist);
3029: ord = ord1;
3030: f = f1;
3031: }
3032: nvar += nalg;
3033: }
3034: nd_init_ord(ord);
1.178 noro 3035: for ( t = BDY(f), max = 1; t; t = NEXT(t) )
1.157 noro 3036: for ( tv = vv; tv; tv = NEXT(tv) ) {
3037: e = getdeg(tv->v,(P)BDY(t));
3038: max = MAX(e,max);
3039: }
3040: nd_setup_parameters(nvar,max);
3041: ishomo = 1;
3042: for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
3043: ptozp((P)BDY(t),1,&dmy,&zp);
3044: b = (pointer)ptondv(CO,vv,zp);
3045: if ( ishomo )
3046: ishomo = ishomo && ndv_ishomo(b);
3047: if ( m ) ndv_mod(m,b);
3048: if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; }
3049: }
3050: if ( fd0 ) NEXT(fd) = 0;
3051: ndv_setup(m,0,fd0,0,1);
3052: for ( x = 0, i = 0; i < nd_psn; i++ )
3053: x = update_base(x,i);
3054: if ( do_check ) {
1.168 noro 3055: x = nd_gb(m,ishomo,1,0,&perm);
1.157 noro 3056: if ( !x ) {
3057: *rp = 0;
3058: return;
3059: }
3060: } else {
1.175 noro 3061: #if 0
3062: /* bug ? */
1.157 noro 3063: for ( t = x; t; t = NEXT(t) )
1.159 noro 3064: BDY(t) = (pointer)nd_ps[(long)BDY(t)];
1.175 noro 3065: #else
3066: conv_ilist(0,0,x,&perm);
3067: #endif
1.157 noro 3068: }
1.167 noro 3069: x = ndv_reducebase(x,perm);
1.157 noro 3070: x = ndv_reduceall(m,x);
3071: for ( r0 = 0, t = x; t; t = NEXT(t) ) {
3072: NEXTNODE(r0,r);
3073: BDY(r) = ndvtop(m,CO,vv,BDY(t));
3074: }
3075: if ( r0 ) NEXT(r) = 0;
3076: if ( nalg )
3077: r0 = postprocess_algcoef(av,alist,r0);
3078: MKLIST(*rp,r0);
1.20 noro 3079: }
3080:
1.198 noro 3081: NDV recompute_trace(NODE trace,NDV *p,int m);
3082: void nd_gr_recompute_trace(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,LIST *rp);
3083:
3084: NDV recompute_trace(NODE ti,NDV *p,int mod)
3085: {
3086: int c,c1,c2,i;
3087: NM mul,m,tail;
3088: ND d,r,rm;
3089: NODE sj;
3090: NDV red;
3091: Obj mj;
3092: static int afo=0;
3093:
3094: afo++;
3095: mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
3096: CM(mul) = 1;
3097: tail = 0;
3098: for ( i = 0, d = r = 0; ti; ti = NEXT(ti), i++ ) {
3099: sj = BDY((LIST)BDY(ti));
3100: if ( ARG0(sj) ) {
3101: red = p[QTOS((Q)ARG1(sj))];
3102: mj = (Obj)ARG2(sj);
3103: if ( OID(mj) != O_DP ) ndl_zero(DL(mul));
3104: else dltondl(nd_nvar,BDY((DP)mj)->dl,DL(mul));
3105: rm = ndv_mul_nm(mod,mul,red);
3106: if ( !r ) r = rm;
3107: else {
3108: for ( m = BDY(r); m && !ndl_equal(m->dl,BDY(rm)->dl); m = NEXT(m), LEN(r)-- ) {
3109: if ( d ) {
3110: NEXT(tail) = m; tail = m; LEN(d)++;
3111: } else {
3112: MKND(nd_nvar,m,1,d); tail = BDY(d);
3113: }
3114: }
3115: if ( !m ) return 0; /* failure */
3116: else {
3117: BDY(r) = m;
3118: c1 = invm(HCM(rm),mod); c2 = mod-HCM(r);
3119: DMAR(c1,c2,0,mod,c);
3120: nd_mul_c(mod,rm,c);
3121: r = nd_add(mod,r,rm);
3122: }
3123: }
3124: }
3125: }
3126: if ( tail ) NEXT(tail) = 0;
3127: d = nd_add(mod,d,r);
3128: nd_mul_c(mod,d,invm(HCM(d),mod));
3129: return ndtondv(mod,d);
3130: }
3131:
3132: void nd_gr_recompute_trace(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,LIST *rp)
3133: {
3134: VL tv,fv,vv,vc,av;
3135: NODE fd,fd0,r,r0,t,x,s,xx,alist;
3136: int e,max,nvar,i;
3137: NDV b;
3138: int ishomo,nalg;
3139: Alg alpha,dp;
3140: P p,zp;
3141: Q dmy;
3142: LIST f1,f2;
3143: Obj obj;
3144: NumberField nf;
3145: struct order_spec *ord1;
3146: NODE permtrace,intred,ind,perm,trace,ti;
3147: int len,n,j;
3148: NDV *db,*pb;
3149:
3150: parse_nd_option(current_option);
3151: get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
3152: for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
3153: switch ( ord->id ) {
3154: case 1:
3155: if ( ord->nv != nvar )
3156: error("nd_check : invalid order specification");
3157: break;
3158: default:
3159: break;
3160: }
3161: nd_init_ord(ord);
3162: nd_bpe = QTOS((Q)ARG7(BDY(tlist)));
3163: nd_setup_parameters(nvar,0);
3164:
3165: len = length(BDY(f));
3166: db = (NDV *)MALLOC(len*sizeof(NDV *));
3167: for ( i = 0, t = BDY(f); t; i++, t = NEXT(t) ) {
3168: ptozp((P)BDY(t),1,&dmy,&zp);
3169: b = ptondv(CO,vv,zp);
3170: ndv_mod(m,b);
3171: ndv_mul_c(m,b,invm(HCM(b),m));
3172: db[i] = b;
3173: }
3174:
3175: permtrace = BDY((LIST)ARG2(BDY(tlist)));
3176: intred = BDY((LIST)ARG3(BDY(tlist)));
3177: ind = BDY((LIST)ARG4(BDY(tlist)));
3178: perm = BDY((LIST)ARG0(permtrace));
3179: trace = NEXT(permtrace);
3180:
3181: for ( i = length(perm)-1, t = trace; t; t = NEXT(t) ) {
3182: j = QTOS((Q)ARG0(BDY((LIST)BDY(t))));
3183: if ( j > i ) i = j;
3184: }
3185: n = i+1;
3186: pb = (NDV *)MALLOC(n*sizeof(NDV *));
3187: for ( t = perm, i = 0; t; t = NEXT(t), i++ ) {
3188: ti = BDY((LIST)BDY(t));
3189: pb[QTOS((Q)ARG0(ti))] = db[QTOS((Q)ARG1(ti))];
3190: }
3191: for ( t = trace; t; t = NEXT(t) ) {
3192: ti = BDY((LIST)BDY(t));
3193: pb[QTOS((Q)ARG0(ti))] = recompute_trace(BDY((LIST)ARG1(ti)),pb,m);
3194: if ( !pb[QTOS((Q)ARG0(ti))] ) { *rp = 0; return; }
3195: if ( DP_Print ) {
3196: fprintf(asir_out,"."); fflush(asir_out);
3197: }
3198: }
3199: for ( t = intred; t; t = NEXT(t) ) {
3200: ti = BDY((LIST)BDY(t));
3201: pb[QTOS((Q)ARG0(ti))] = recompute_trace(BDY((LIST)ARG1(ti)),pb,m);
3202: if ( !pb[QTOS((Q)ARG0(ti))] ) { *rp = 0; return; }
3203: if ( DP_Print ) {
3204: fprintf(asir_out,"*"); fflush(asir_out);
3205: }
3206: }
3207: for ( r0 = 0, t = ind; t; t = NEXT(t) ) {
3208: NEXTNODE(r0,r);
3209: b = pb[QTOS((Q)BDY(t))];
3210: ndv_mul_c(m,b,invm(HCM(b),m));
3211: #if 0
3212: BDY(r) = ndvtop(m,CO,vv,pb[QTOS((Q)BDY(t))]);
3213: #else
3214: BDY(r) = ndvtodp(m,pb[QTOS((Q)BDY(t))]);
3215: #endif
3216: }
3217: if ( r0 ) NEXT(r) = 0;
3218: MKLIST(*rp,r0);
3219: if ( DP_Print ) fprintf(asir_out,"\n");
3220: }
3221:
1.133 noro 3222: void nd_gr_trace(LIST f,LIST v,int trace,int homo,int f4,struct order_spec *ord,LIST *rp)
1.20 noro 3223: {
1.157 noro 3224: VL tv,fv,vv,vc,av;
3225: NODE fd,fd0,in0,in,r,r0,t,s,cand,alist;
3226: int m,nocheck,nvar,mindex,e,max;
3227: NDV c;
3228: NMV a;
3229: P p,zp;
3230: Q dmy;
3231: EPOS oepos;
1.164 noro 3232: int obpe,oadv,wmax,i,len,cbpe,ishomo,nalg,mrank,trank,ompos;
1.157 noro 3233: Alg alpha,dp;
3234: P poly;
1.158 noro 3235: LIST f1,f2,zpl;
1.157 noro 3236: Obj obj;
3237: NumberField nf;
3238: struct order_spec *ord1;
3239: struct oEGT eg_check,eg0,eg1;
1.168 noro 3240: NODE tr,tl1,tl2,tl3,tl4;
3241: LIST l1,l2,l3,l4,l5;
1.167 noro 3242: int *perm;
1.168 noro 3243: int j,ret;
1.198 noro 3244: Q jq,bpe;
1.157 noro 3245:
1.167 noro 3246: nd_module = 0;
1.172 noro 3247: parse_nd_option(current_option);
1.157 noro 3248: if ( DP_Multiple )
3249: nd_scale = ((double)DP_Multiple)/(double)(Denominator?Denominator:1);
3250:
3251: get_vars((Obj)f,&fv); pltovl(v,&vv); vlminus(fv,vv,&nd_vc);
3252: for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
3253: switch ( ord->id ) {
3254: case 1:
3255: if ( ord->nv != nvar )
3256: error("nd_gr_trace : invalid order specification");
3257: break;
3258: default:
3259: break;
3260: }
3261:
3262: get_algtree((Obj)f,&av);
3263: for ( nalg = 0, tv = av; tv; tv = NEXT(tv), nalg++ );
3264: nd_ntrans = nvar;
3265: nd_nalg = nalg;
3266: /* #i -> t#i */
3267: if ( nalg ) {
3268: preprocess_algcoef(vv,av,ord,f,&ord1,&f1,&alist);
3269: ord = ord1;
3270: f = f1;
3271: }
3272: nvar += nalg;
3273:
3274: nocheck = 0;
3275: mindex = 0;
3276:
3277: if ( Demand ) nd_demand = 1;
3278: else nd_demand = 0;
3279:
3280: /* setup modulus */
3281: if ( trace < 0 ) {
3282: trace = -trace;
3283: nocheck = 1;
3284: }
3285: m = trace > 1 ? trace : get_lprime(mindex);
1.158 noro 3286: nd_init_ord(ord);
3287: mrank = 0;
1.178 noro 3288: for ( t = BDY(f), max = 1; t; t = NEXT(t) )
1.157 noro 3289: for ( tv = vv; tv; tv = NEXT(tv) ) {
1.158 noro 3290: if ( nd_module ) {
3291: s = BDY((LIST)BDY(t));
3292: trank = length(s);
3293: mrank = MAX(mrank,trank);
3294: for ( ; s; s = NEXT(s) ) {
3295: e = getdeg(tv->v,(P)BDY(s));
3296: max = MAX(e,max);
3297: }
3298: } else {
3299: e = getdeg(tv->v,(P)BDY(t));
3300: max = MAX(e,max);
3301: }
1.157 noro 3302: }
3303: nd_setup_parameters(nvar,max);
1.164 noro 3304: obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos; ompos = nd_mpos;
1.157 noro 3305: ishomo = 1;
3306: for ( in0 = 0, fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
1.167 noro 3307: if ( nd_module ) {
1.172 noro 3308: if ( !nd_gentrace ) pltozpl((LIST)BDY(t),&dmy,&zpl);
1.167 noro 3309: else zpl = (LIST)BDY(t);
1.158 noro 3310: c = (pointer)pltondv(CO,vv,zpl);
3311: } else {
1.172 noro 3312: if ( !nd_gentrace ) ptozp((P)BDY(t),1,&dmy,&zp);
1.167 noro 3313: else zp = (P)BDY(t);
1.158 noro 3314: c = (pointer)ptondv(CO,vv,zp);
1.167 noro 3315: }
1.157 noro 3316: if ( ishomo )
3317: ishomo = ishomo && ndv_ishomo(c);
3318: if ( c ) {
3319: NEXTNODE(in0,in); BDY(in) = (pointer)c;
3320: NEXTNODE(fd0,fd); BDY(fd) = (pointer)ndv_dup(0,c);
3321: }
3322: }
3323: if ( in0 ) NEXT(in) = 0;
3324: if ( fd0 ) NEXT(fd) = 0;
3325: if ( !ishomo && homo ) {
3326: for ( t = in0, wmax = max; t; t = NEXT(t) ) {
3327: c = (NDV)BDY(t); len = LEN(c);
3328: for ( a = BDY(c), i = 0; i < len; i++, NMV_ADV(a) )
3329: wmax = MAX(TD(DL(a)),wmax);
3330: }
3331: homogenize_order(ord,nvar,&ord1);
3332: nd_init_ord(ord1);
3333: nd_setup_parameters(nvar+1,wmax);
3334: for ( t = fd0; t; t = NEXT(t) )
1.164 noro 3335: ndv_homogenize((NDV)BDY(t),obpe,oadv,oepos,ompos);
1.157 noro 3336: }
3337: while ( 1 ) {
1.183 noro 3338: tl1 = tl2 = tl3 = tl4 = 0;
1.157 noro 3339: if ( Demand )
3340: nd_demand = 1;
1.187 noro 3341: ret = ndv_setup(m,1,fd0,nd_gbblock?1:0,0);
1.172 noro 3342: if ( nd_gentrace ) {
1.167 noro 3343: MKLIST(l1,nd_tracelist); MKNODE(nd_alltracelist,l1,0);
3344: }
1.177 noro 3345: if ( ret )
3346: cand = f4?nd_f4_trace(m,&perm):nd_gb_trace(m,ishomo || homo,&perm);
3347: if ( !ret || !cand ) {
1.157 noro 3348: /* failure */
3349: if ( trace > 1 ) { *rp = 0; return; }
3350: else m = get_lprime(++mindex);
3351: continue;
3352: }
3353: if ( !ishomo && homo ) {
3354: /* dehomogenization */
3355: for ( t = cand; t; t = NEXT(t) ) ndv_dehomogenize((NDV)BDY(t),ord);
3356: nd_init_ord(ord);
3357: nd_setup_parameters(nvar,0);
3358: }
3359: nd_demand = 0;
1.167 noro 3360: cand = ndv_reducebase(cand,perm);
1.172 noro 3361: if ( nd_gentrace ) { tl1 = nd_alltracelist; nd_alltracelist = 0; }
1.157 noro 3362: cand = ndv_reduceall(0,cand);
3363: cbpe = nd_bpe;
1.172 noro 3364: if ( nd_gentrace ) { tl2 = nd_alltracelist; nd_alltracelist = 0; }
1.173 noro 3365: get_eg(&eg0);
1.157 noro 3366: if ( nocheck )
3367: break;
1.170 noro 3368: if ( ret = ndv_check_membership(0,in0,obpe,oadv,oepos,cand) ) {
1.172 noro 3369: if ( nd_gentrace ) {
1.168 noro 3370: tl3 = nd_alltracelist; nd_alltracelist = 0;
3371: } else tl3 = 0;
3372: /* gbcheck : cand is a GB of Id(cand) ? */
1.172 noro 3373: ret = nd_gb(0,0,1,nd_gensyz?1:0,0)!=0;
3374: if ( nd_gentrace && nd_gensyz ) {
1.168 noro 3375: tl4 = nd_alltracelist; nd_alltracelist = 0;
3376: } else tl4 = 0;
3377: }
3378: if ( ret ) break;
1.157 noro 3379: else if ( trace > 1 ) {
3380: /* failure */
3381: *rp = 0; return;
3382: } else {
3383: /* try the next modulus */
3384: m = get_lprime(++mindex);
3385: /* reset the parameters */
3386: if ( !ishomo && homo ) {
3387: nd_init_ord(ord1);
3388: nd_setup_parameters(nvar+1,wmax);
3389: } else {
3390: nd_init_ord(ord);
3391: nd_setup_parameters(nvar,max);
3392: }
3393: }
3394: }
3395: get_eg(&eg1); init_eg(&eg_check); add_eg(&eg_check,&eg0,&eg1);
3396: if ( DP_Print )
3397: fprintf(asir_out,"check=%fsec\n",eg_check.exectime+eg_check.gctime);
3398: /* dp->p */
3399: nd_bpe = cbpe;
3400: nd_setup_parameters(nd_nvar,0);
1.158 noro 3401: for ( r = cand; r; r = NEXT(r) ) {
1.167 noro 3402: if ( nd_module ) BDY(r) = ndvtopl(0,CO,vv,BDY(r),mrank);
1.158 noro 3403: else BDY(r) = (pointer)ndvtop(0,CO,vv,BDY(r));
3404: }
1.157 noro 3405: if ( nalg )
3406: cand = postprocess_algcoef(av,alist,cand);
3407: MKLIST(*rp,cand);
1.172 noro 3408: if ( nd_gentrace ) {
1.167 noro 3409: tl1 = reverse_node(tl1); tl2 = reverse_node(tl2);
1.168 noro 3410: tl3 = reverse_node(tl3);
1.167 noro 3411: /* tl2 = [[i,[[*,j,*,*],...]],...] */
3412: for ( t = tl2; t; t = NEXT(t) ) {
3413: /* s = [i,[*,j,*,*],...] */
3414: s = BDY((LIST)BDY(t));
3415: j = perm[QTOS((Q)ARG0(s))]; STOQ(j,jq); ARG0(s) = (pointer)jq;
3416: for ( s = BDY((LIST)ARG1(s)); s; s = NEXT(s) ) {
3417: j = perm[QTOS((Q)ARG1(BDY((LIST)BDY(s))))]; STOQ(j,jq);
3418: ARG1(BDY((LIST)BDY(s))) = (pointer)jq;
3419: }
3420: }
3421: for ( j = length(cand)-1, t = 0; j >= 0; j-- ) {
3422: STOQ(perm[j],jq); MKNODE(s,jq,t); t = s;
3423: }
1.168 noro 3424: MKLIST(l1,tl1); MKLIST(l2,tl2); MKLIST(l3,t); MKLIST(l4,tl3);
3425: MKLIST(l5,tl4);
1.198 noro 3426: STOQ(nd_bpe,bpe);
3427: tr = mknode(8,*rp,(!ishomo&&homo)?ONE:0,l1,l2,l3,l4,l5,bpe); MKLIST(*rp,tr);
1.167 noro 3428: }
1.157 noro 3429: }
1.52 noro 3430:
1.157 noro 3431: /* XXX : module element is not considered */
1.1 noro 3432:
1.61 noro 3433: void dltondl(int n,DL dl,UINT *r)
1.1 noro 3434: {
1.157 noro 3435: UINT *d;
3436: int i,j,l,s,ord_l;
3437: struct order_pair *op;
3438:
3439: d = dl->d;
3440: for ( i = 0; i < nd_wpd; i++ ) r[i] = 0;
3441: if ( nd_blockmask ) {
3442: l = nd_blockmask->n;
3443: op = nd_blockmask->order_pair;
3444: for ( j = 0, s = 0; j < l; j++ ) {
3445: ord_l = op[j].length;
3446: for ( i = 0; i < ord_l; i++, s++ ) PUT_EXP(r,s,d[s]);
3447: }
3448: TD(r) = ndl_weight(r);
3449: ndl_weight_mask(r);
3450: } else {
3451: for ( i = 0; i < n; i++ ) PUT_EXP(r,i,d[i]);
3452: TD(r) = ndl_weight(r);
3453: }
1.1 noro 3454: }
3455:
1.61 noro 3456: DL ndltodl(int n,UINT *ndl)
1.1 noro 3457: {
1.157 noro 3458: DL dl;
3459: int *d;
3460: int i,j,l,s,ord_l;
3461: struct order_pair *op;
3462:
3463: NEWDL(dl,n);
3464: dl->td = TD(ndl);
3465: d = dl->d;
3466: if ( nd_blockmask ) {
3467: l = nd_blockmask->n;
3468: op = nd_blockmask->order_pair;
3469: for ( j = 0, s = 0; j < l; j++ ) {
3470: ord_l = op[j].length;
3471: for ( i = 0; i < ord_l; i++, s++ ) d[s] = GET_EXP(ndl,s);
3472: }
3473: } else {
3474: for ( i = 0; i < n; i++ ) d[i] = GET_EXP(ndl,i);
3475: }
3476: return dl;
1.1 noro 3477: }
3478:
1.167 noro 3479: void nmtodp(int mod,NM m,DP *r)
3480: {
3481: DP dp;
3482: MP mr;
3483:
3484: NEWMP(mr);
3485: mr->dl = ndltodl(nd_nvar,DL(m));
3486: mr->c = ndctop(mod,m->c);
3487: NEXT(mr) = 0; MKDP(nd_nvar,mr,dp); dp->sugar = mr->dl->td;
3488: *r = dp;
3489: }
3490:
1.61 noro 3491: void ndl_print(UINT *dl)
1.1 noro 3492: {
1.157 noro 3493: int n;
3494: int i,j,l,ord_l,s,s0;
3495: struct order_pair *op;
3496:
3497: n = nd_nvar;
3498: printf("<<");
3499: if ( nd_blockmask ) {
3500: l = nd_blockmask->n;
3501: op = nd_blockmask->order_pair;
3502: for ( j = 0, s = s0 = 0; j < l; j++ ) {
3503: ord_l = op[j].length;
3504: for ( i = 0; i < ord_l; i++, s++ )
3505: printf(s==n-1?"%d":"%d,",GET_EXP(dl,s));
3506: }
3507: } else {
3508: for ( i = 0; i < n; i++ ) printf(i==n-1?"%d":"%d,",GET_EXP(dl,i));
3509: }
3510: printf(">>");
3511: if ( MPOS(dl) )
3512: printf("*e%d",MPOS(dl));
1.1 noro 3513: }
3514:
3515: void nd_print(ND p)
3516: {
1.157 noro 3517: NM m;
1.1 noro 3518:
1.157 noro 3519: if ( !p )
3520: printf("0\n");
3521: else {
3522: for ( m = BDY(p); m; m = NEXT(m) ) {
3523: if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m)));
3524: else printf("+%d*",CM(m));
3525: ndl_print(DL(m));
3526: }
3527: printf("\n");
3528: }
1.1 noro 3529: }
3530:
1.113 noro 3531: void nd_print_q(ND p)
1.16 noro 3532: {
1.157 noro 3533: NM m;
1.16 noro 3534:
1.157 noro 3535: if ( !p )
3536: printf("0\n");
3537: else {
3538: for ( m = BDY(p); m; m = NEXT(m) ) {
3539: printf("+");
3540: printexpr(CO,(Obj)CQ(m));
3541: printf("*");
3542: ndl_print(DL(m));
3543: }
3544: printf("\n");
3545: }
1.16 noro 3546: }
3547:
1.1 noro 3548: void ndp_print(ND_pairs d)
3549: {
1.157 noro 3550: ND_pairs t;
1.1 noro 3551:
1.157 noro 3552: for ( t = d; t; t = NEXT(t) ) printf("%d,%d ",t->i1,t->i2);
3553: printf("\n");
1.1 noro 3554: }
3555:
1.20 noro 3556: void nd_removecont(int mod,ND p)
1.16 noro 3557: {
1.157 noro 3558: int i,n;
3559: Q *w;
3560: Q dvr,t;
3561: NM m;
3562: struct oVECT v;
3563: N q,r;
3564:
3565: if ( mod == -1 ) nd_mul_c(mod,p,_invsf(HCM(p)));
3566: else if ( mod ) nd_mul_c(mod,p,invm(HCM(p),mod));
3567: else {
3568: for ( m = BDY(p), n = 0; m; m = NEXT(m), n++ );
3569: w = (Q *)ALLOCA(n*sizeof(Q));
3570: v.len = n;
3571: v.body = (pointer *)w;
3572: for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) w[i] = CQ(m);
3573: removecont_array((P *)w,n,1);
3574: for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) CQ(m) = w[i];
3575: }
1.16 noro 3576: }
3577:
1.21 noro 3578: void nd_removecont2(ND p1,ND p2)
3579: {
1.157 noro 3580: int i,n1,n2,n;
3581: Q *w;
3582: Q dvr,t;
3583: NM m;
3584: struct oVECT v;
3585: N q,r;
3586:
3587: n1 = nd_length(p1);
3588: n2 = nd_length(p2);
3589: n = n1+n2;
3590: w = (Q *)ALLOCA(n*sizeof(Q));
3591: v.len = n;
3592: v.body = (pointer *)w;
3593: i = 0;
3594: if ( p1 )
3595: for ( m = BDY(p1); i < n1; m = NEXT(m), i++ ) w[i] = CQ(m);
3596: if ( p2 )
3597: for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) w[i] = CQ(m);
3598: removecont_array((P *)w,n,1);
3599: i = 0;
3600: if ( p1 )
3601: for ( m = BDY(p1); i < n1; m = NEXT(m), i++ ) CQ(m) = w[i];
3602: if ( p2 )
3603: for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) CQ(m) = w[i];
1.21 noro 3604: }
3605:
1.20 noro 3606: void ndv_removecont(int mod,NDV p)
1.16 noro 3607: {
1.157 noro 3608: int i,len,all_p;
3609: Q *c;
3610: P *w;
3611: Q dvr,t;
3612: P g,cont,tp;
3613: NMV m;
3614:
3615: if ( mod == -1 )
3616: ndv_mul_c(mod,p,_invsf(HCM(p)));
3617: else if ( mod )
3618: ndv_mul_c(mod,p,invm(HCM(p),mod));
3619: else {
3620: len = p->len;
3621: w = (P *)ALLOCA(len*sizeof(P));
3622: c = (Q *)ALLOCA(len*sizeof(Q));
3623: for ( m = BDY(p), all_p = 1, i = 0; i < len; NMV_ADV(m), i++ ) {
3624: ptozp(CP(m),1,&c[i],&w[i]);
3625: all_p = all_p && !NUM(w[i]);
3626: }
3627: if ( all_p ) {
3628: qltozl(c,len,&dvr); nd_heu_nezgcdnpz(nd_vc,w,len,1,&g);
3629: mulp(nd_vc,(P)dvr,g,&cont);
3630: for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) {
3631: divsp(nd_vc,CP(m),cont,&tp); CP(m) = tp;
3632: }
3633: } else {
3634: sortbynm((Q *)c,len);
3635: qltozl((Q *)c,len,&dvr);
3636: for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) {
3637: divsp(nd_vc,CP(m),(P)dvr,&tp); CP(m) = tp;
3638: }
3639: }
3640: }
1.21 noro 3641: }
3642:
1.157 noro 3643: /* koko */
3644:
1.164 noro 3645: void ndv_homogenize(NDV p,int obpe,int oadv,EPOS oepos,int ompos)
1.61 noro 3646: {
1.157 noro 3647: int len,i,max;
3648: NMV m,mr0,mr,t;
1.61 noro 3649:
1.157 noro 3650: len = p->len;
1.178 noro 3651: for ( m = BDY(p), i = 0, max = 1; i < len; NMV_OADV(m), i++ )
1.157 noro 3652: max = MAX(max,TD(DL(m)));
3653: mr0 = nmv_adv>oadv?(NMV)REALLOC(BDY(p),len*nmv_adv):BDY(p);
3654: m = (NMV)((char *)mr0+(len-1)*oadv);
3655: mr = (NMV)((char *)mr0+(len-1)*nmv_adv);
3656: t = (NMV)ALLOCA(nmv_adv);
3657: for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) {
1.164 noro 3658: ndl_homogenize(DL(m),DL(t),obpe,oepos,ompos,max);
1.157 noro 3659: CQ(mr) = CQ(m);
3660: ndl_copy(DL(t),DL(mr));
3661: }
3662: NV(p)++;
3663: BDY(p) = mr0;
1.61 noro 3664: }
3665:
1.45 noro 3666: void ndv_dehomogenize(NDV p,struct order_spec *ord)
1.23 noro 3667: {
1.164 noro 3668: int i,j,adj,len,newnvar,newwpd,newadv,newexporigin,newmpos;
1.167 noro 3669: int pos;
1.157 noro 3670: Q *w;
3671: Q dvr,t;
3672: NMV m,r;
3673:
3674: len = p->len;
3675: newnvar = nd_nvar-1;
3676: newexporigin = nd_get_exporigin(ord);
1.167 noro 3677: if ( nd_module ) newmpos = newexporigin-1;
1.157 noro 3678: newwpd = newnvar/nd_epw+(newnvar%nd_epw?1:0)+newexporigin;
3679: for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ )
3680: ndl_dehomogenize(DL(m));
3681: if ( newwpd != nd_wpd ) {
3682: newadv = ROUND_FOR_ALIGN(sizeof(struct oNMV)+(newwpd-1)*sizeof(UINT));
3683: for ( m = r = BDY(p), i = 0; i < len; NMV_ADV(m), NDV_NADV(r), i++ ) {
3684: CQ(r) = CQ(m);
1.167 noro 3685: if ( nd_module ) pos = MPOS(DL(m));
1.157 noro 3686: for ( j = 0; j < newexporigin; j++ ) DL(r)[j] = DL(m)[j];
3687: adj = nd_exporigin-newexporigin;
3688: for ( ; j < newwpd; j++ ) DL(r)[j] = DL(m)[j+adj];
1.167 noro 3689: if ( nd_module ) {
3690: DL(r)[newmpos] = pos;
3691: }
1.157 noro 3692: }
3693: }
3694: NV(p)--;
1.23 noro 3695: }
3696:
1.150 noro 3697: void nd_heu_nezgcdnpz(VL vl,P *pl,int m,int full,P *pr)
3698: {
1.157 noro 3699: int i;
3700: P *tpl,*tpl1;
3701: NODE l;
3702: P h,gcd,t;
3703:
3704: tpl = (P *)ALLOCA(m*sizeof(P));
3705: tpl1 = (P *)ALLOCA(m*sizeof(P));
3706: bcopy(pl,tpl,m*sizeof(P));
3707: gcd = (P)ONE;
3708: for ( l = nd_hcf; l; l = NEXT(l) ) {
3709: h = (P)BDY(l);
3710: while ( 1 ) {
3711: for ( i = 0; i < m; i++ )
3712: if ( !divtpz(vl,tpl[i],h,&tpl1[i]) )
3713: break;
3714: if ( i == m ) {
3715: bcopy(tpl1,tpl,m*sizeof(P));
3716: mulp(vl,gcd,h,&t); gcd = t;
3717: } else
3718: break;
3719: }
3720: }
3721: if ( DP_Print > 2 ){fprintf(asir_out,"[%d]",nmonop(gcd)); fflush(asir_out);}
3722: if ( full ) {
3723: heu_nezgcdnpz(vl,tpl,m,&t);
3724: mulp(vl,gcd,t,pr);
3725: } else
3726: *pr = gcd;
1.150 noro 3727: }
3728:
3729: void removecont_array(P *p,int n,int full)
1.146 noro 3730: {
1.157 noro 3731: int all_p,all_q,i;
3732: Q *c;
3733: P *w;
3734: P t,s;
3735:
3736: for ( all_q = 1, i = 0; i < n; i++ )
3737: all_q = all_q && NUM(p[i]);
3738: if ( all_q ) {
3739: removecont_array_q((Q *)p,n);
3740: } else {
3741: c = (Q *)ALLOCA(n*sizeof(Q));
3742: w = (P *)ALLOCA(n*sizeof(P));
3743: for ( i = 0; i < n; i++ ) {
3744: ptozp(p[i],1,&c[i],&w[i]);
3745: }
3746: removecont_array_q(c,n);
3747: nd_heu_nezgcdnpz(nd_vc,w,n,full,&t);
3748: for ( i = 0; i < n; i++ ) {
3749: divsp(nd_vc,w[i],t,&s); mulp(nd_vc,s,(P)c[i],&p[i]);
3750: }
3751: }
1.146 noro 3752: }
3753:
3754: void removecont_array_q(Q *c,int n)
1.21 noro 3755: {
1.157 noro 3756: struct oVECT v;
3757: Q d0,d1,a,u,u1,gcd;
3758: int i,j;
3759: N qn,rn,gn;
3760: Q *q,*r;
3761:
3762: q = (Q *)ALLOCA(n*sizeof(Q));
3763: r = (Q *)ALLOCA(n*sizeof(Q));
3764: v.id = O_VECT; v.len = n; v.body = (pointer *)c;
3765: igcdv_estimate(&v,&d0);
3766: for ( i = 0; i < n; i++ ) {
3767: divn(NM(c[i]),NM(d0),&qn,&rn);
3768: NTOQ(qn,SGN(c[i])*SGN(d0),q[i]);
3769: NTOQ(rn,SGN(c[i]),r[i]);
3770: }
3771: for ( i = 0; i < n; i++ ) if ( r[i] ) break;
3772: if ( i < n ) {
3773: v.id = O_VECT; v.len = n; v.body = (pointer *)r;
3774: igcdv(&v,&d1);
3775: gcdn(NM(d0),NM(d1),&gn); NTOQ(gn,1,gcd);
3776: divsn(NM(d0),gn,&qn); NTOQ(qn,1,a);
3777: for ( i = 0; i < n; i++ ) {
3778: mulq(a,q[i],&u);
3779: if ( r[i] ) {
3780: divsn(NM(r[i]),gn,&qn); NTOQ(qn,SGN(r[i]),u1);
3781: addq(u,u1,&q[i]);
3782: } else
3783: q[i] = u;
3784: }
3785: }
3786: for ( i = 0; i < n; i++ ) c[i] = q[i];
1.16 noro 3787: }
3788:
1.19 noro 3789: void nd_mul_c(int mod,ND p,int mul)
1.1 noro 3790: {
1.157 noro 3791: NM m;
3792: int c,c1;
1.1 noro 3793:
1.157 noro 3794: if ( !p ) return;
3795: if ( mul == 1 ) return;
3796: if ( mod == -1 )
3797: for ( m = BDY(p); m; m = NEXT(m) )
3798: CM(m) = _mulsf(CM(m),mul);
3799: else
3800: for ( m = BDY(p); m; m = NEXT(m) ) {
3801: c1 = CM(m); DMAR(c1,mul,0,mod,c); CM(m) = c;
3802: }
1.1 noro 3803: }
3804:
1.146 noro 3805: void nd_mul_c_q(ND p,P mul)
1.16 noro 3806: {
1.157 noro 3807: NM m;
3808: P c;
1.16 noro 3809:
1.157 noro 3810: if ( !p ) return;
3811: if ( UNIQ(mul) ) return;
3812: for ( m = BDY(p); m; m = NEXT(m) ) {
3813: mulp(nd_vc,CP(m),mul,&c); CP(m) = c;
3814: }
1.16 noro 3815: }
3816:
1.61 noro 3817: void nd_mul_c_p(VL vl,ND p,P mul)
3818: {
1.157 noro 3819: NM m;
3820: P c;
1.61 noro 3821:
1.157 noro 3822: if ( !p ) return;
3823: for ( m = BDY(p); m; m = NEXT(m) ) {
3824: mulp(vl,CP(m),mul,&c); CP(m) = c;
3825: }
1.61 noro 3826: }
3827:
1.1 noro 3828: void nd_free(ND p)
3829: {
1.157 noro 3830: NM t,s;
1.1 noro 3831:
1.157 noro 3832: if ( !p ) return;
3833: t = BDY(p);
3834: while ( t ) {
3835: s = NEXT(t);
3836: FREENM(t);
3837: t = s;
3838: }
3839: FREEND(p);
1.1 noro 3840: }
3841:
1.23 noro 3842: void ndv_free(NDV p)
3843: {
1.200 ! noro 3844: GCFREE(BDY(p));
1.23 noro 3845: }
3846:
1.61 noro 3847: void nd_append_red(UINT *d,int i)
1.1 noro 3848: {
1.157 noro 3849: RHist m,m0;
3850: int h;
1.1 noro 3851:
1.157 noro 3852: NEWRHist(m);
3853: h = ndl_hash_value(d);
3854: m->index = i;
3855: ndl_copy(d,DL(m));
3856: NEXT(m) = nd_red[h];
3857: nd_red[h] = m;
1.1 noro 3858: }
3859:
1.61 noro 3860: UINT *ndv_compute_bound(NDV p)
1.1 noro 3861: {
1.157 noro 3862: UINT *d1,*d2,*t;
3863: UINT u;
3864: int i,j,k,l,len,ind;
3865: NMV m;
3866:
3867: if ( !p )
3868: return 0;
3869: d1 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
3870: d2 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
3871: len = LEN(p);
3872: m = BDY(p); ndl_copy(DL(m),d1); NMV_ADV(m);
3873: for ( i = 1; i < len; i++, NMV_ADV(m) ) {
1.159 noro 3874: ndl_max(DL(m),d1,d2);
1.157 noro 3875: t = d1; d1 = d2; d2 = t;
3876: }
3877: l = nd_nvar+31;
3878: t = (UINT *)MALLOC_ATOMIC(l*sizeof(UINT));
3879: for ( i = nd_exporigin, ind = 0; i < nd_wpd; i++ ) {
3880: u = d1[i];
3881: k = (nd_epw-1)*nd_bpe;
3882: for ( j = 0; j < nd_epw; j++, k -= nd_bpe, ind++ )
3883: t[ind] = (u>>k)&nd_mask0;
3884: }
3885: for ( ; ind < l; ind++ ) t[ind] = 0;
3886: return t;
1.1 noro 3887: }
3888:
1.99 noro 3889: UINT *nd_compute_bound(ND p)
3890: {
1.157 noro 3891: UINT *d1,*d2,*t;
3892: UINT u;
3893: int i,j,k,l,len,ind;
3894: NM m;
3895:
3896: if ( !p )
3897: return 0;
3898: d1 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
3899: d2 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
3900: len = LEN(p);
3901: m = BDY(p); ndl_copy(DL(m),d1); m = NEXT(m);
3902: for ( m = NEXT(m); m; m = NEXT(m) ) {
3903: ndl_lcm(DL(m),d1,d2);
3904: t = d1; d1 = d2; d2 = t;
3905: }
3906: l = nd_nvar+31;
3907: t = (UINT *)MALLOC_ATOMIC(l*sizeof(UINT));
3908: for ( i = nd_exporigin, ind = 0; i < nd_wpd; i++ ) {
3909: u = d1[i];
3910: k = (nd_epw-1)*nd_bpe;
3911: for ( j = 0; j < nd_epw; j++, k -= nd_bpe, ind++ )
3912: t[ind] = (u>>k)&nd_mask0;
3913: }
3914: for ( ; ind < l; ind++ ) t[ind] = 0;
3915: return t;
1.99 noro 3916: }
3917:
1.157 noro 3918: /* if nd_module == 1 then d[nd_exporigin-1] indicates the position */
3919: /* of a term. In this case we need additional 1 word. */
3920:
1.48 noro 3921: int nd_get_exporigin(struct order_spec *ord)
3922: {
1.157 noro 3923: switch ( ord->id ) {
3924: case 0: case 2: case 256: case 258:
3925: return 1+nd_module;
3926: case 1: case 257:
3927: /* block order */
3928: /* poly ring d[0]:weight d[1]:w0,...,d[nd_exporigin-1]:w(n-1) */
3929: /* module d[0]:weight d[1]:w0,...,d[nd_exporigin-2]:w(n-1) */
3930: return ord->ord.block.length+1+nd_module;
3931: case 3: case 259:
3932: error("nd_get_exporigin : composite order is not supported yet.");
3933: }
1.48 noro 3934: }
3935:
1.61 noro 3936: void nd_setup_parameters(int nvar,int max) {
1.157 noro 3937: int i,j,n,elen,ord_o,ord_l,l,s,wpd;
3938: struct order_pair *op;
1.48 noro 3939:
1.157 noro 3940: nd_nvar = nvar;
3941: if ( max ) {
3942: /* XXX */
3943: if ( do_weyl ) nd_bpe = 32;
3944: else if ( max < 2 ) nd_bpe = 1;
3945: else if ( max < 4 ) nd_bpe = 2;
3946: else if ( max < 8 ) nd_bpe = 3;
3947: else if ( max < 16 ) nd_bpe = 4;
3948: else if ( max < 32 ) nd_bpe = 5;
3949: else if ( max < 64 ) nd_bpe = 6;
3950: else if ( max < 256 ) nd_bpe = 8;
3951: else if ( max < 1024 ) nd_bpe = 10;
3952: else if ( max < 65536 ) nd_bpe = 16;
3953: else nd_bpe = 32;
3954: }
3955: nd_epw = (sizeof(UINT)*8)/nd_bpe;
3956: elen = nd_nvar/nd_epw+(nd_nvar%nd_epw?1:0);
3957: nd_exporigin = nd_get_exporigin(nd_ord);
3958: wpd = nd_exporigin+elen;
3959: if ( nd_module )
3960: nd_mpos = nd_exporigin-1;
3961: else
3962: nd_mpos = -1;
3963: if ( wpd != nd_wpd ) {
3964: nd_free_private_storage();
3965: nd_wpd = wpd;
3966: }
3967: if ( nd_bpe < 32 ) {
3968: nd_mask0 = (1<<nd_bpe)-1;
3969: } else {
3970: nd_mask0 = 0xffffffff;
3971: }
3972: bzero(nd_mask,sizeof(nd_mask));
3973: nd_mask1 = 0;
3974: for ( i = 0; i < nd_epw; i++ ) {
3975: nd_mask[nd_epw-i-1] = (nd_mask0<<(i*nd_bpe));
3976: nd_mask1 |= (1<<(nd_bpe-1))<<(i*nd_bpe);
3977: }
3978: nmv_adv = ROUND_FOR_ALIGN(sizeof(struct oNMV)+(nd_wpd-1)*sizeof(UINT));
3979: nd_epos = nd_create_epos(nd_ord);
3980: nd_blockmask = nd_create_blockmask(nd_ord);
3981: nd_work_vector = (int *)REALLOC(nd_work_vector,nd_nvar*sizeof(int));
1.1 noro 3982: }
3983:
1.103 noro 3984: ND_pairs nd_reconstruct(int trace,ND_pairs d)
1.1 noro 3985: {
1.157 noro 3986: int i,obpe,oadv,h;
3987: static NM prev_nm_free_list;
3988: static ND_pairs prev_ndp_free_list;
3989: RHist mr0,mr;
3990: RHist r;
3991: RHist *old_red;
3992: ND_pairs s0,s,t;
3993: EPOS oepos;
3994:
3995: obpe = nd_bpe;
3996: oadv = nmv_adv;
3997: oepos = nd_epos;
3998: if ( obpe < 2 ) nd_bpe = 2;
3999: else if ( obpe < 3 ) nd_bpe = 3;
4000: else if ( obpe < 4 ) nd_bpe = 4;
4001: else if ( obpe < 5 ) nd_bpe = 5;
4002: else if ( obpe < 6 ) nd_bpe = 6;
4003: else if ( obpe < 8 ) nd_bpe = 8;
4004: else if ( obpe < 10 ) nd_bpe = 10;
4005: else if ( obpe < 16 ) nd_bpe = 16;
4006: else if ( obpe < 32 ) nd_bpe = 32;
4007: else error("nd_reconstruct : exponent too large");
4008:
4009: nd_setup_parameters(nd_nvar,0);
4010: prev_nm_free_list = _nm_free_list;
4011: prev_ndp_free_list = _ndp_free_list;
4012: _nm_free_list = 0;
4013: _ndp_free_list = 0;
4014: for ( i = nd_psn-1; i >= 0; i-- ) ndv_realloc(nd_ps[i],obpe,oadv,oepos);
4015: if ( trace )
4016: for ( i = nd_psn-1; i >= 0; i-- )
4017: ndv_realloc(nd_ps_trace[i],obpe,oadv,oepos);
4018: s0 = 0;
4019: for ( t = d; t; t = NEXT(t) ) {
4020: NEXTND_pairs(s0,s);
4021: s->i1 = t->i1;
4022: s->i2 = t->i2;
4023: SG(s) = SG(t);
4024: ndl_reconstruct(LCM(t),LCM(s),obpe,oepos);
4025: }
4026:
4027: old_red = (RHist *)ALLOCA(REDTAB_LEN*sizeof(RHist));
4028: for ( i = 0; i < REDTAB_LEN; i++ ) {
4029: old_red[i] = nd_red[i];
4030: nd_red[i] = 0;
4031: }
4032: for ( i = 0; i < REDTAB_LEN; i++ )
4033: for ( r = old_red[i]; r; r = NEXT(r) ) {
4034: NEWRHist(mr);
4035: mr->index = r->index;
4036: SG(mr) = SG(r);
4037: ndl_reconstruct(DL(r),DL(mr),obpe,oepos);
4038: h = ndl_hash_value(DL(mr));
4039: NEXT(mr) = nd_red[h];
4040: nd_red[h] = mr;
4041: }
4042: for ( i = 0; i < REDTAB_LEN; i++ ) old_red[i] = 0;
4043: old_red = 0;
4044: for ( i = 0; i < nd_psn; i++ ) {
4045: NEWRHist(r); SG(r) = SG(nd_psh[i]);
4046: ndl_reconstruct(DL(nd_psh[i]),DL(r),obpe,oepos);
4047: nd_psh[i] = r;
4048: }
4049: if ( s0 ) NEXT(s) = 0;
4050: prev_nm_free_list = 0;
4051: prev_ndp_free_list = 0;
1.71 noro 4052: #if 0
1.157 noro 4053: GC_gcollect();
1.71 noro 4054: #endif
1.157 noro 4055: return s0;
1.1 noro 4056: }
4057:
1.61 noro 4058: void ndl_reconstruct(UINT *d,UINT *r,int obpe,EPOS oepos)
1.1 noro 4059: {
1.157 noro 4060: int n,i,ei,oepw,omask0,j,s,ord_l,l;
4061: struct order_pair *op;
1.1 noro 4062:
1.157 noro 4063: n = nd_nvar;
4064: oepw = (sizeof(UINT)*8)/obpe;
4065: omask0 = (1<<obpe)-1;
4066: TD(r) = TD(d);
4067: for ( i = nd_exporigin; i < nd_wpd; i++ ) r[i] = 0;
4068: if ( nd_blockmask ) {
4069: l = nd_blockmask->n;
4070: op = nd_blockmask->order_pair;
4071: for ( i = 1; i < nd_exporigin; i++ )
4072: r[i] = d[i];
4073: for ( j = 0, s = 0; j < l; j++ ) {
4074: ord_l = op[j].length;
4075: for ( i = 0; i < ord_l; i++, s++ ) {
4076: ei = GET_EXP_OLD(d,s);
4077: PUT_EXP(r,s,ei);
4078: }
4079: }
4080: } else {
4081: for ( i = 0; i < n; i++ ) {
4082: ei = GET_EXP_OLD(d,i);
4083: PUT_EXP(r,i,ei);
4084: }
4085: }
4086: if ( nd_module ) MPOS(r) = MPOS(d);
1.1 noro 4087: }
1.3 noro 4088:
1.6 noro 4089: ND nd_copy(ND p)
4090: {
1.157 noro 4091: NM m,mr,mr0;
4092: int c,n;
4093: ND r;
4094:
4095: if ( !p )
4096: return 0;
4097: else {
4098: for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
4099: NEXTNM(mr0,mr);
4100: CM(mr) = CM(m);
4101: ndl_copy(DL(m),DL(mr));
4102: }
4103: NEXT(mr) = 0;
4104: MKND(NV(p),mr0,LEN(p),r);
4105: SG(r) = SG(p);
4106: return r;
4107: }
1.6 noro 4108: }
4109:
1.53 noro 4110: int nd_sp(int mod,int trace,ND_pairs p,ND *rp)
1.11 noro 4111: {
1.157 noro 4112: NM m1,m2;
4113: NDV p1,p2;
4114: ND t1,t2;
4115: UINT *lcm;
4116: P gp,tp;
1.167 noro 4117: Q g,t,iq;
1.157 noro 4118: int td;
1.167 noro 4119: LIST hist;
4120: NODE node;
4121: DP d;
1.157 noro 4122:
4123: if ( !mod && nd_demand ) {
4124: p1 = ndv_load(p->i1); p2 = ndv_load(p->i2);
4125: } else {
4126: if ( trace ) {
4127: p1 = nd_ps_trace[p->i1]; p2 = nd_ps_trace[p->i2];
4128: } else {
4129: p1 = nd_ps[p->i1]; p2 = nd_ps[p->i2];
4130: }
4131: }
4132: lcm = LCM(p);
4133: NEWNM(m1); ndl_sub(lcm,HDL(p1),DL(m1));
4134: if ( ndl_check_bound2(p->i1,DL(m1)) ) {
4135: FREENM(m1); return 0;
4136: }
4137: NEWNM(m2); ndl_sub(lcm,HDL(p2),DL(m2));
4138: if ( ndl_check_bound2(p->i2,DL(m2)) ) {
4139: FREENM(m1); FREENM(m2); return 0;
4140: }
4141:
4142: if ( mod == -1 ) {
4143: CM(m1) = HCM(p2); CM(m2) = _chsgnsf(HCM(p1));
4144: } else if ( mod ) {
4145: CM(m1) = HCM(p2); CM(m2) = mod-HCM(p1);
4146: } else if ( nd_vc ) {
4147: ezgcdpz(nd_vc,HCP(p1),HCP(p2),&gp);
4148: divsp(nd_vc,HCP(p2),gp,&CP(m1));
4149: divsp(nd_vc,HCP(p1),gp,&tp); chsgnp(tp,&CP(m2));
4150: } else {
4151: igcd_cofactor(HCQ(p1),HCQ(p2),&g,&t,&CQ(m1)); chsgnq(t,&CQ(m2));
4152: }
4153: t1 = ndv_mul_nm(mod,m1,p1); t2 = ndv_mul_nm(mod,m2,p2);
4154: *rp = nd_add(mod,t1,t2);
1.172 noro 4155: if ( nd_gentrace ) {
1.167 noro 4156: /* nd_tracelist is initialized */
4157: STOQ(p->i1,iq); nmtodp(mod,m1,&d); node = mknode(4,ONE,iq,d,ONE);
4158: MKLIST(hist,node); MKNODE(nd_tracelist,hist,0);
4159: STOQ(p->i2,iq); nmtodp(mod,m2,&d); node = mknode(4,ONE,iq,d,ONE);
4160: MKLIST(hist,node); MKNODE(node,hist,nd_tracelist);
4161: nd_tracelist = node;
4162: }
1.157 noro 4163: FREENM(m1); FREENM(m2);
4164: return 1;
1.11 noro 4165: }
4166:
1.19 noro 4167: void ndv_mul_c(int mod,NDV p,int mul)
1.11 noro 4168: {
1.157 noro 4169: NMV m;
4170: int c,c1,len,i;
1.11 noro 4171:
1.157 noro 4172: if ( !p ) return;
4173: len = LEN(p);
4174: if ( mod == -1 )
4175: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) )
4176: CM(m) = _mulsf(CM(m),mul);
4177: else
4178: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
4179: c1 = CM(m); DMAR(c1,mul,0,mod,c); CM(m) = c;
4180: }
1.11 noro 4181: }
4182:
1.113 noro 4183: void ndv_mul_c_q(NDV p,Q mul)
1.16 noro 4184: {
1.157 noro 4185: NMV m;
4186: Q c;
4187: int len,i;
4188:
4189: if ( !p ) return;
4190: len = LEN(p);
4191: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
4192: mulq(CQ(m),mul,&c); CQ(m) = c;
4193: }
1.16 noro 4194: }
4195:
1.55 noro 4196: ND weyl_ndv_mul_nm(int mod,NM m0,NDV p) {
1.157 noro 4197: int n2,i,j,l,n,tlen;
4198: UINT *d0;
4199: NM *tab,*psum;
4200: ND s,r;
4201: NM t;
4202: NMV m1;
4203:
4204: if ( !p ) return 0;
4205: n = NV(p); n2 = n>>1;
4206: d0 = DL(m0);
4207: l = LEN(p);
4208: for ( i = 0, tlen = 1; i < n2; i++ ) tlen *= (GET_EXP(d0,n2+i)+1);
4209: tab = (NM *)ALLOCA(tlen*sizeof(NM));
4210: psum = (NM *)ALLOCA(tlen*sizeof(NM));
4211: for ( i = 0; i < tlen; i++ ) psum[i] = 0;
4212: m1 = (NMV)(((char *)BDY(p))+nmv_adv*(l-1));
4213: for ( i = l-1; i >= 0; i--, NMV_PREV(m1) ) {
4214: /* m0(NM) * m1(NMV) => tab(NM) */
4215: weyl_mul_nm_nmv(n,mod,m0,m1,tab,tlen);
4216: for ( j = 0; j < tlen; j++ ) {
4217: if ( tab[j] ) {
4218: NEXT(tab[j]) = psum[j]; psum[j] = tab[j];
4219: }
4220: }
4221: }
4222: for ( i = tlen-1, r = 0; i >= 0; i-- )
4223: if ( psum[i] ) {
4224: for ( j = 0, t = psum[i]; t; t = NEXT(t), j++ );
4225: MKND(n,psum[i],j,s);
4226: r = nd_add(mod,r,s);
4227: }
4228: if ( r ) SG(r) = SG(p)+TD(d0);
4229: return r;
1.55 noro 4230: }
4231:
1.56 noro 4232: /* product of monomials */
4233: /* XXX block order is not handled correctly */
4234:
1.55 noro 4235: void weyl_mul_nm_nmv(int n,int mod,NM m0,NMV m1,NM *tab,int tlen)
4236: {
1.157 noro 4237: int i,n2,j,s,curlen,homo,h,a,b,k,l,u,min;
4238: UINT *d0,*d1,*d,*dt,*ctab;
4239: Q *ctab_q;
4240: Q q,q1;
4241: UINT c0,c1,c;
4242: NM *p;
4243: NM m,t;
4244: int mpos;
4245:
4246: for ( i = 0; i < tlen; i++ ) tab[i] = 0;
4247: if ( !m0 || !m1 ) return;
4248: d0 = DL(m0); d1 = DL(m1); n2 = n>>1;
1.166 noro 4249: if ( nd_module )
4250: if ( MPOS(d0) ) error("weyl_mul_nm_nmv : invalid operation");
4251:
1.157 noro 4252: NEWNM(m); d = DL(m);
4253: if ( mod ) {
4254: c0 = CM(m0); c1 = CM(m1); DMAR(c0,c1,0,mod,c); CM(m) = c;
1.179 noro 4255: } else if ( nd_vc )
4256: mulp(nd_vc,CP(m0),CP(m1),&CP(m));
4257: else
1.157 noro 4258: mulq(CQ(m0),CQ(m1),&CQ(m));
4259: for ( i = 0; i < nd_wpd; i++ ) d[i] = 0;
4260: homo = n&1 ? 1 : 0;
4261: if ( homo ) {
4262: /* offset of h-degree */
4263: h = GET_EXP(d0,n-1)+GET_EXP(d1,n-1);
4264: PUT_EXP(DL(m),n-1,h);
4265: TD(DL(m)) = h;
4266: if ( nd_blockmask ) ndl_weight_mask(DL(m));
4267: }
4268: tab[0] = m;
4269: NEWNM(m); d = DL(m);
4270: for ( i = 0, curlen = 1; i < n2; i++ ) {
4271: a = GET_EXP(d0,i); b = GET_EXP(d1,n2+i);
4272: k = GET_EXP(d0,n2+i); l = GET_EXP(d1,i);
4273: /* xi^a*(Di^k*xi^l)*Di^b */
4274: a += l; b += k;
4275: s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i);
4276: if ( !k || !l ) {
4277: for ( j = 0; j < curlen; j++ )
4278: if ( t = tab[j] ) {
4279: dt = DL(t);
4280: PUT_EXP(dt,i,a); PUT_EXP(dt,n2+i,b); TD(dt) += s;
4281: if ( nd_blockmask ) ndl_weight_mask(dt);
4282: }
4283: curlen *= k+1;
4284: continue;
4285: }
4286: min = MIN(k,l);
4287: if ( mod ) {
4288: ctab = (UINT *)ALLOCA((min+1)*sizeof(UINT));
4289: mkwcm(k,l,mod,ctab);
4290: } else {
4291: ctab_q = (Q *)ALLOCA((min+1)*sizeof(Q));
4292: mkwc(k,l,ctab_q);
4293: }
4294: for ( j = min; j >= 0; j-- ) {
4295: for ( u = 0; u < nd_wpd; u++ ) d[u] = 0;
4296: PUT_EXP(d,i,a-j); PUT_EXP(d,n2+i,b-j);
4297: h = MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i);
4298: if ( homo ) {
4299: TD(d) = s;
4300: PUT_EXP(d,n-1,s-h);
4301: } else TD(d) = h;
4302: if ( nd_blockmask ) ndl_weight_mask(d);
4303: if ( mod ) c = ctab[j];
4304: else q = ctab_q[j];
4305: p = tab+curlen*j;
4306: if ( j == 0 ) {
4307: for ( u = 0; u < curlen; u++, p++ ) {
4308: if ( tab[u] ) {
4309: ndl_addto(DL(tab[u]),d);
4310: if ( mod ) {
4311: c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(tab[u]) = c1;
1.180 noro 4312: } else if ( nd_vc )
4313: mulp(nd_vc,CP(tab[u]),(P)q,&CP(tab[u]));
4314: else {
1.157 noro 4315: mulq(CQ(tab[u]),q,&q1); CQ(tab[u]) = q1;
4316: }
4317: }
4318: }
4319: } else {
4320: for ( u = 0; u < curlen; u++, p++ ) {
4321: if ( tab[u] ) {
4322: NEWNM(t);
4323: ndl_add(DL(tab[u]),d,DL(t));
4324: if ( mod ) {
4325: c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(t) = c1;
1.181 noro 4326: } else if ( nd_vc )
1.180 noro 4327: mulp(nd_vc,CP(tab[u]),(P)q,&CP(t));
4328: else
1.157 noro 4329: mulq(CQ(tab[u]),q,&CQ(t));
4330: *p = t;
4331: }
4332: }
4333: }
4334: }
4335: curlen *= k+1;
4336: }
4337: FREENM(m);
1.167 noro 4338: if ( nd_module ) {
1.166 noro 4339: mpos = MPOS(d1);
1.167 noro 4340: for ( i = 0; i < tlen; i++ )
4341: if ( tab[i] ) {
4342: d = DL(tab[i]);
4343: MPOS(d) = mpos;
4344: TD(d) = ndl_weight(d);
4345: }
4346: }
1.55 noro 4347: }
4348:
1.63 noro 4349: ND ndv_mul_nm_symbolic(NM m0,NDV p)
4350: {
1.157 noro 4351: NM mr,mr0;
4352: NMV m;
4353: UINT *d,*dt,*dm;
4354: int c,n,td,i,c1,c2,len;
4355: Q q;
4356: ND r;
4357:
4358: if ( !p ) return 0;
4359: else {
4360: n = NV(p); m = BDY(p);
4361: d = DL(m0);
4362: len = LEN(p);
4363: mr0 = 0;
4364: td = TD(d);
4365: c = CM(m0);
4366: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
4367: NEXTNM(mr0,mr);
4368: CM(mr) = 1;
4369: ndl_add(DL(m),d,DL(mr));
4370: }
4371: NEXT(mr) = 0;
4372: MKND(NV(p),mr0,len,r);
4373: SG(r) = SG(p) + TD(d);
4374: return r;
4375: }
1.63 noro 4376: }
4377:
1.55 noro 4378: ND ndv_mul_nm(int mod,NM m0,NDV p)
1.9 noro 4379: {
1.157 noro 4380: NM mr,mr0;
4381: NMV m;
4382: UINT *d,*dt,*dm;
4383: int c,n,td,i,c1,c2,len;
4384: P q;
4385: ND r;
4386:
4387: if ( !p ) return 0;
4388: else if ( do_weyl )
4389: if ( mod == -1 )
4390: error("ndv_mul_nm : not implemented (weyl)");
4391: else
4392: return weyl_ndv_mul_nm(mod,m0,p);
4393: else {
4394: n = NV(p); m = BDY(p);
4395: d = DL(m0);
4396: len = LEN(p);
4397: mr0 = 0;
4398: td = TD(d);
4399: if ( mod == -1 ) {
4400: c = CM(m0);
4401: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
4402: NEXTNM(mr0,mr);
4403: CM(mr) = _mulsf(CM(m),c);
4404: ndl_add(DL(m),d,DL(mr));
4405: }
4406: } else if ( mod ) {
4407: c = CM(m0);
4408: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
4409: NEXTNM(mr0,mr);
4410: c1 = CM(m);
4411: DMAR(c1,c,0,mod,c2);
4412: CM(mr) = c2;
4413: ndl_add(DL(m),d,DL(mr));
4414: }
4415: } else {
4416: q = CP(m0);
4417: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
4418: NEXTNM(mr0,mr);
4419: mulp(nd_vc,CP(m),q,&CP(mr));
4420: ndl_add(DL(m),d,DL(mr));
4421: }
4422: }
4423: NEXT(mr) = 0;
4424: MKND(NV(p),mr0,len,r);
4425: SG(r) = SG(p) + TD(d);
4426: return r;
4427: }
1.4 noro 4428: }
4429:
1.104 noro 4430: ND nd_quo(int mod,PGeoBucket bucket,NDV d)
1.99 noro 4431: {
1.157 noro 4432: NM mq0,mq;
4433: NMV tm;
4434: Q q;
4435: int i,nv,sg,c,c1,c2,hindex;
4436: ND p,t,r;
4437: N tnm;
4438:
4439: if ( bucket->m < 0 ) return 0;
4440: else {
4441: nv = NV(d);
4442: mq0 = 0;
4443: tm = (NMV)ALLOCA(nmv_adv);
4444: while ( 1 ) {
4445: hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket);
4446: if ( hindex < 0 ) break;
4447: p = bucket->body[hindex];
4448: NEXTNM(mq0,mq);
4449: ndl_sub(HDL(p),HDL(d),DL(mq));
4450: ndl_copy(DL(mq),DL(tm));
4451: if ( mod ) {
4452: c1 = invm(HCM(d),mod); c2 = HCM(p);
4453: DMAR(c1,c2,0,mod,c); CM(mq) = c;
4454: CM(tm) = mod-c;
4455: } else {
4456: divsn(NM(HCQ(p)),NM(HCQ(d)),&tnm);
4457: NTOQ(tnm,SGN(HCQ(p))*SGN(HCQ(d)),CQ(mq));
4458: chsgnq(CQ(mq),&CQ(tm));
4459: }
4460: t = ndv_mul_nmv_trunc(mod,tm,d,HDL(d));
4461: bucket->body[hindex] = nd_remove_head(p);
4462: t = nd_remove_head(t);
4463: add_pbucket(mod,bucket,t);
4464: }
4465: if ( !mq0 )
4466: r = 0;
4467: else {
4468: NEXT(mq) = 0;
4469: for ( i = 0, mq = mq0; mq; mq = NEXT(mq), i++ );
4470: MKND(nv,mq0,i,r);
4471: /* XXX */
4472: SG(r) = HTD(r);
4473: }
4474: return r;
4475: }
1.99 noro 4476: }
4477:
1.43 noro 4478: void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos)
1.11 noro 4479: {
1.157 noro 4480: NMV m,mr,mr0,t;
4481: int len,i,k;
1.11 noro 4482:
1.157 noro 4483: if ( !p ) return;
4484: m = BDY(p); len = LEN(p);
4485: mr0 = nmv_adv>oadv?(NMV)REALLOC(BDY(p),len*nmv_adv):BDY(p);
4486: m = (NMV)((char *)mr0+(len-1)*oadv);
4487: mr = (NMV)((char *)mr0+(len-1)*nmv_adv);
4488: t = (NMV)ALLOCA(nmv_adv);
4489: for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) {
4490: CQ(t) = CQ(m);
4491: for ( k = 0; k < nd_wpd; k++ ) DL(t)[k] = 0;
4492: ndl_reconstruct(DL(m),DL(t),obpe,oepos);
4493: CQ(mr) = CQ(t);
4494: ndl_copy(DL(t),DL(mr));
4495: }
4496: BDY(p) = mr0;
1.61 noro 4497: }
4498:
4499: NDV ndv_dup_realloc(NDV p,int obpe,int oadv,EPOS oepos)
4500: {
1.157 noro 4501: NMV m,mr,mr0;
4502: int len,i;
4503: NDV r;
4504:
4505: if ( !p ) return 0;
4506: m = BDY(p); len = LEN(p);
4507: mr0 = mr = (NMV)MALLOC(len*nmv_adv);
4508: for ( i = 0; i < len; i++, NMV_OADV(m), NMV_ADV(mr) ) {
4509: ndl_zero(DL(mr));
4510: ndl_reconstruct(DL(m),DL(mr),obpe,oepos);
4511: CQ(mr) = CQ(m);
4512: }
4513: MKNDV(NV(p),mr0,len,r);
4514: SG(r) = SG(p);
4515: return r;
1.11 noro 4516: }
4517:
1.61 noro 4518: /* duplicate p */
4519:
4520: NDV ndv_dup(int mod,NDV p)
1.3 noro 4521: {
1.157 noro 4522: NDV d;
4523: NMV t,m,m0;
4524: int i,len;
4525:
4526: if ( !p ) return 0;
4527: len = LEN(p);
4528: m0 = m = (NMV)(mod?MALLOC_ATOMIC(len*nmv_adv):MALLOC(len*nmv_adv));
4529: for ( t = BDY(p), i = 0; i < len; i++, NMV_ADV(t), NMV_ADV(m) ) {
4530: ndl_copy(DL(t),DL(m));
4531: CQ(m) = CQ(t);
4532: }
4533: MKNDV(NV(p),m0,len,d);
4534: SG(d) = SG(p);
4535: return d;
1.23 noro 4536: }
4537:
1.63 noro 4538: ND nd_dup(ND p)
4539: {
1.157 noro 4540: ND d;
4541: NM t,m,m0;
1.63 noro 4542:
1.157 noro 4543: if ( !p ) return 0;
4544: for ( m0 = 0, t = BDY(p); t; t = NEXT(t) ) {
4545: NEXTNM(m0,m);
4546: ndl_copy(DL(t),DL(m));
4547: CQ(m) = CQ(t);
4548: }
4549: if ( m0 ) NEXT(m) = 0;
4550: MKND(NV(p),m0,LEN(p),d);
4551: SG(d) = SG(p);
4552: return d;
1.63 noro 4553: }
4554:
1.61 noro 4555: /* XXX if p->len == 0 then it represents 0 */
4556:
4557: void ndv_mod(int mod,NDV p)
4558: {
1.157 noro 4559: NMV t,d;
4560: int r,s,u;
4561: int i,len,dlen;
4562: P cp;
4563: Q c;
4564: Obj gfs;
4565:
4566: if ( !p ) return;
4567: len = LEN(p);
4568: dlen = 0;
4569: if ( mod == -1 )
4570: for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) {
4571: simp_ff((Obj)CP(t),&gfs);
4572: r = FTOIF(CONT((GFS)gfs));
4573: CM(d) = r;
4574: ndl_copy(DL(t),DL(d));
4575: NMV_ADV(d);
4576: dlen++;
4577: }
4578: else
4579: for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) {
4580: if ( nd_vc ) {
4581: nd_subst_vector(nd_vc,CP(t),nd_subst,&cp);
4582: c = (Q)cp;
4583: } else
4584: c = CQ(t);
4585: r = rem(NM(c),mod);
4586: if ( r ) {
4587: if ( SGN(c) < 0 )
4588: r = mod-r;
4589: if ( DN(c) ) {
4590: s = rem(DN(c),mod);
4591: if ( !s )
4592: error("ndv_mod : division by 0");
4593: s = invm(s,mod);
4594: DMAR(r,s,0,mod,u); r = u;
4595: }
4596: CM(d) = r;
4597: ndl_copy(DL(t),DL(d));
4598: NMV_ADV(d);
4599: dlen++;
4600: }
4601: }
4602: LEN(p) = dlen;
1.61 noro 4603: }
4604:
4605: NDV ptondv(VL vl,VL dvl,P p)
4606: {
1.157 noro 4607: ND nd;
4608:
4609: nd = ptond(vl,dvl,p);
4610: return ndtondv(0,nd);
4611: }
1.61 noro 4612:
1.157 noro 4613: void pltozpl(LIST l,Q *cont,LIST *pp)
4614: {
4615: NODE nd,nd1;
4616: int n;
4617: P *pl;
4618: Q *cl;
4619: int i;
4620: P dmy;
4621: Q dvr;
4622: LIST r;
4623:
4624: nd = BDY(l); n = length(nd);
4625: pl = (P *)ALLOCA(n*sizeof(P));
4626: cl = (Q *)ALLOCA(n*sizeof(P));
4627: for ( i = 0; i < n; i++, nd = NEXT(nd) )
4628: ptozp((P)BDY(nd),1,&cl[i],&dmy);
4629: qltozl(cl,n,&dvr);
4630: nd = BDY(l);
4631: for ( i = 0; i < n; i++, nd = NEXT(nd) ) {
4632: divsp(CO,(P)BDY(nd),(P)dvr,&pl[i]);
4633: }
4634: nd = 0;
4635: for ( i = n-1; i >= 0; i-- ) {
4636: MKNODE(nd1,pl[i],nd); nd = nd1;
4637: }
4638: MKLIST(r,nd);
4639: *pp = r;
4640: }
4641:
4642: /* (a1,a2,...,an) -> a1*e(1)+...+an*e(n) */
4643:
4644: NDV pltondv(VL vl,VL dvl,LIST p)
4645: {
4646: int i;
4647: NODE t;
4648: ND r,ri;
4649: NM m;
4650:
4651: if ( !nd_module ) error("pltond : module order must be set");
4652: r = 0;
4653: for ( i = 1, t = BDY(p); t; t = NEXT(t), i++ ) {
4654: ri = ptond(vl,dvl,(P)BDY(t));
1.163 noro 4655: if ( ri )
4656: for ( m = BDY(ri); m; m = NEXT(m) ) {
1.167 noro 4657: MPOS(DL(m)) = i;
4658: TD(DL(m)) = ndl_weight(DL(m));
1.163 noro 4659: if ( nd_blockmask ) ndl_weight_mask(DL(m));
4660: }
1.157 noro 4661: r = nd_add(0,r,ri);
4662: }
4663: return ndtondv(0,r);
1.61 noro 4664: }
4665:
4666: ND ptond(VL vl,VL dvl,P p)
1.23 noro 4667: {
1.157 noro 4668: int n,i,j,k,e;
4669: VL tvl;
4670: V v;
4671: DCP dc;
4672: DCP *w;
4673: ND r,s,t,u;
4674: P x;
4675: int c;
4676: UINT *d;
4677: NM m,m0;
4678:
4679: if ( !p )
4680: return 0;
4681: else if ( NUM(p) ) {
4682: NEWNM(m);
4683: ndl_zero(DL(m));
4684: CQ(m) = (Q)p;
4685: NEXT(m) = 0;
4686: MKND(nd_nvar,m,1,r);
4687: SG(r) = 0;
4688: return r;
4689: } else {
4690: for ( dc = DC(p), k = 0; dc; dc = NEXT(dc), k++ );
4691: w = (DCP *)ALLOCA(k*sizeof(DCP));
4692: for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ ) w[j] = dc;
4693: for ( i = 0, tvl = dvl, v = VR(p);
4694: tvl && tvl->v != v; tvl = NEXT(tvl), i++ );
4695: if ( !tvl ) {
4696: for ( j = k-1, s = 0, MKV(v,x); j >= 0; j-- ) {
4697: t = ptond(vl,dvl,COEF(w[j]));
4698: pwrp(vl,x,DEG(w[j]),&p);
4699: nd_mul_c_p(CO,t,p); s = nd_add(0,s,t);
4700: }
4701: return s;
4702: } else {
4703: NEWNM(m0); d = DL(m0);
4704: for ( j = k-1, s = 0; j >= 0; j-- ) {
4705: ndl_zero(d); e = QTOS(DEG(w[j])); PUT_EXP(d,i,e);
4706: TD(d) = MUL_WEIGHT(e,i);
4707: if ( nd_blockmask) ndl_weight_mask(d);
4708: if ( nd_module ) MPOS(d) = 0;
4709: t = ptond(vl,dvl,COEF(w[j]));
4710: for ( m = BDY(t); m; m = NEXT(m) )
4711: ndl_addto(DL(m),d);
4712: SG(t) += TD(d);
4713: s = nd_add(0,s,t);
4714: }
4715: FREENM(m0);
4716: return s;
4717: }
4718: }
1.61 noro 4719: }
4720:
4721: P ndvtop(int mod,VL vl,VL dvl,NDV p)
4722: {
1.157 noro 4723: VL tvl;
4724: int len,n,j,i,e;
4725: NMV m;
4726: Q q;
4727: P c;
4728: UINT *d;
4729: P s,r,u,t,w;
4730: GFS gfs;
4731:
4732: if ( !p ) return 0;
4733: else {
4734: len = LEN(p);
4735: n = NV(p);
4736: m = (NMV)(((char *)BDY(p))+nmv_adv*(len-1));
4737: for ( j = len-1, s = 0; j >= 0; j--, NMV_PREV(m) ) {
4738: if ( mod == -1 ) {
4739: e = IFTOF(CM(m)); MKGFS(e,gfs); c = (P)gfs;
4740: } else if ( mod ) {
4741: STOQ(CM(m),q); c = (P)q;
4742: } else
4743: c = CP(m);
4744: d = DL(m);
4745: for ( i = 0, t = c, tvl = dvl; i < n; tvl = NEXT(tvl), i++ ) {
4746: MKV(tvl->v,r); e = GET_EXP(d,i); STOQ(e,q);
4747: pwrp(vl,r,q,&u); mulp(vl,t,u,&w); t = w;
4748: }
4749: addp(vl,s,t,&u); s = u;
4750: }
4751: return s;
4752: }
4753: }
4754:
4755: LIST ndvtopl(int mod,VL vl,VL dvl,NDV p,int rank)
4756: {
4757: VL tvl;
4758: int len,n,j,i,e;
4759: NMV m;
4760: Q q;
4761: P c;
4762: UINT *d;
4763: P s,r,u,t,w;
4764: GFS gfs;
4765: P *a;
4766: LIST l;
4767: NODE nd,nd1;
4768:
4769: if ( !p ) return 0;
4770: else {
4771: a = (P *)ALLOCA((rank+1)*sizeof(P));
4772: for ( i = 0; i <= rank; i++ ) a[i] = 0;
4773: len = LEN(p);
4774: n = NV(p);
4775: m = (NMV)(((char *)BDY(p))+nmv_adv*(len-1));
4776: for ( j = len-1; j >= 0; j--, NMV_PREV(m) ) {
4777: if ( mod == -1 ) {
4778: e = IFTOF(CM(m)); MKGFS(e,gfs); c = (P)gfs;
4779: } else if ( mod ) {
4780: STOQ(CM(m),q); c = (P)q;
4781: } else
4782: c = CP(m);
4783: d = DL(m);
4784: for ( i = 0, t = c, tvl = dvl; i < n; tvl = NEXT(tvl), i++ ) {
4785: MKV(tvl->v,r); e = GET_EXP(d,i); STOQ(e,q);
4786: pwrp(vl,r,q,&u); mulp(vl,t,u,&w); t = w;
4787: }
4788: addp(vl,a[MPOS(d)],t,&u); a[MPOS(d)] = u;
4789: }
4790: nd = 0;
4791: for ( i = rank; i > 0; i-- ) {
4792: MKNODE(nd1,a[i],nd); nd = nd1;
4793: }
4794: MKLIST(l,nd);
4795: return l;
4796: }
1.3 noro 4797: }
4798:
1.61 noro 4799: NDV ndtondv(int mod,ND p)
1.11 noro 4800: {
1.157 noro 4801: NDV d;
4802: NMV m,m0;
4803: NM t;
4804: int i,len;
4805:
4806: if ( !p ) return 0;
4807: len = LEN(p);
4808: if ( mod )
1.200 ! noro 4809: m0 = m = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(len*nmv_adv);
1.157 noro 4810: else
4811: m0 = m = MALLOC(len*nmv_adv);
1.103 noro 4812: #if 0
1.157 noro 4813: ndv_alloc += nmv_adv*len;
1.103 noro 4814: #endif
1.157 noro 4815: for ( t = BDY(p), i = 0; t; t = NEXT(t), i++, NMV_ADV(m) ) {
4816: ndl_copy(DL(t),DL(m));
4817: CQ(m) = CQ(t);
4818: }
4819: MKNDV(NV(p),m0,len,d);
4820: SG(d) = SG(p);
4821: return d;
1.11 noro 4822: }
4823:
1.61 noro 4824: ND ndvtond(int mod,NDV p)
1.11 noro 4825: {
1.157 noro 4826: ND d;
4827: NM m,m0;
4828: NMV t;
4829: int i,len;
4830:
4831: if ( !p ) return 0;
4832: m0 = 0;
4833: len = p->len;
4834: for ( t = BDY(p), i = 0; i < len; NMV_ADV(t), i++ ) {
4835: NEXTNM(m0,m);
4836: ndl_copy(DL(t),DL(m));
4837: CQ(m) = CQ(t);
4838: }
4839: NEXT(m) = 0;
4840: MKND(NV(p),m0,len,d);
4841: SG(d) = SG(p);
4842: return d;
1.11 noro 4843: }
4844:
1.198 noro 4845: DP ndvtodp(int mod,NDV p)
4846: {
4847: MP m,m0;
4848: DP d;
4849: NMV t;
4850: int i,len;
4851:
4852: if ( !p ) return 0;
4853: m0 = 0;
4854: len = p->len;
4855: for ( t = BDY(p), i = 0; i < len; NMV_ADV(t), i++ ) {
4856: NEXTMP(m0,m);
4857: m->dl = ndltodl(nd_nvar,DL(t));
4858: m->c = ndctop(mod,t->c);
4859: }
4860: NEXT(m) = 0;
4861: MKDP(nd_nvar,m0,d);
4862: SG(d) = SG(p);
4863: return d;
4864: }
4865:
1.3 noro 4866: void ndv_print(NDV p)
4867: {
1.157 noro 4868: NMV m;
4869: int i,len;
1.3 noro 4870:
1.157 noro 4871: if ( !p ) printf("0\n");
4872: else {
4873: len = LEN(p);
4874: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
4875: if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m)));
4876: else printf("+%d*",CM(m));
4877: ndl_print(DL(m));
4878: }
4879: printf("\n");
4880: }
1.16 noro 4881: }
4882:
1.113 noro 4883: void ndv_print_q(NDV p)
1.16 noro 4884: {
1.157 noro 4885: NMV m;
4886: int i,len;
1.16 noro 4887:
1.157 noro 4888: if ( !p ) printf("0\n");
4889: else {
4890: len = LEN(p);
4891: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
4892: printf("+");
4893: printexpr(CO,(Obj)CQ(m));
4894: printf("*");
4895: ndl_print(DL(m));
4896: }
4897: printf("\n");
4898: }
1.25 noro 4899: }
4900:
1.167 noro 4901: NODE ndv_reducebase(NODE x,int *perm)
1.27 noro 4902: {
1.157 noro 4903: int len,i,j;
1.167 noro 4904: NDVI w;
1.157 noro 4905: NODE t,t0;
4906:
4907: len = length(x);
1.167 noro 4908: w = (NDVI)ALLOCA(len*sizeof(struct oNDVI));
4909: for ( i = 0, t = x; i < len; i++, t = NEXT(t) ) {
4910: w[i].p = BDY(t); w[i].i = perm[i];
4911: }
1.157 noro 4912: for ( i = 0; i < len; i++ ) {
4913: for ( j = 0; j < i; j++ ) {
1.167 noro 4914: if ( w[i].p && w[j].p )
4915: if ( ndl_reducible(HDL(w[i].p),HDL(w[j].p)) ) w[i].p = 0;
4916: else if ( ndl_reducible(HDL(w[j].p),HDL(w[i].p)) ) w[j].p = 0;
1.157 noro 4917: }
4918: }
1.167 noro 4919: for ( i = j = 0, t0 = 0; i < len; i++ ) {
4920: if ( w[i].p ) {
4921: NEXTNODE(t0,t); BDY(t) = (pointer)w[i].p;
4922: perm[j++] = w[i].i;
4923: }
1.157 noro 4924: }
4925: NEXT(t) = 0; x = t0;
4926: return x;
1.11 noro 4927: }
1.32 noro 4928:
1.43 noro 4929: /* XXX incomplete */
4930:
1.32 noro 4931: void nd_init_ord(struct order_spec *ord)
4932: {
1.157 noro 4933: nd_module = (ord->id >= 256);
4934: switch ( ord->id ) {
4935: case 0:
4936: switch ( ord->ord.simple ) {
4937: case 0:
4938: nd_dcomp = 1;
4939: nd_isrlex = 1;
4940: break;
4941: case 1:
4942: nd_dcomp = 1;
4943: nd_isrlex = 0;
4944: break;
4945: case 2:
4946: nd_dcomp = 0;
4947: nd_isrlex = 0;
4948: ndl_compare_function = ndl_lex_compare;
4949: break;
4950: case 11:
4951: /* XXX */
4952: nd_dcomp = 0;
4953: nd_isrlex = 1;
4954: ndl_compare_function = ndl_ww_lex_compare;
4955: break;
4956: default:
4957: error("nd_gr : unsupported order");
4958: }
4959: break;
4960: case 1:
4961: /* block order */
4962: /* XXX */
4963: nd_dcomp = -1;
4964: nd_isrlex = 0;
4965: ndl_compare_function = ndl_block_compare;
4966: break;
4967: case 2:
4968: /* matrix order */
4969: /* XXX */
4970: nd_dcomp = -1;
4971: nd_isrlex = 0;
4972: nd_matrix_len = ord->ord.matrix.row;
4973: nd_matrix = ord->ord.matrix.matrix;
4974: ndl_compare_function = ndl_matrix_compare;
4975: break;
4976: case 3:
4977: /* composite order */
4978: nd_dcomp = -1;
4979: nd_isrlex = 0;
4980: nd_worb_len = ord->ord.composite.length;
4981: nd_worb = ord->ord.composite.w_or_b;
4982: ndl_compare_function = ndl_composite_compare;
4983: break;
4984:
4985: /* module order */
4986: case 256:
1.160 noro 4987: nd_ispot = ord->ispot;
1.174 noro 4988: nd_pot_nelim = ord->pot_nelim;
1.157 noro 4989: nd_dcomp = -1;
4990: switch ( ord->ord.simple ) {
4991: case 0:
1.167 noro 4992: nd_isrlex = 1;
1.157 noro 4993: ndl_compare_function = ndl_module_grlex_compare;
4994: break;
4995: case 1:
1.167 noro 4996: nd_isrlex = 0;
1.157 noro 4997: ndl_compare_function = ndl_module_glex_compare;
4998: break;
4999: case 2:
1.167 noro 5000: nd_isrlex = 0;
1.157 noro 5001: ndl_compare_function = ndl_module_lex_compare;
5002: break;
5003: default:
5004: error("nd_gr : unsupported order");
5005: }
5006: break;
5007: case 257:
5008: /* block order */
1.174 noro 5009: nd_ispot = ord->ispot;
5010: nd_pot_nelim = ord->pot_nelim;
5011: nd_dcomp = -1;
5012: nd_isrlex = 0;
1.157 noro 5013: ndl_compare_function = ndl_module_block_compare;
5014: break;
5015: case 258:
5016: /* matrix order */
1.174 noro 5017: nd_ispot = ord->ispot;
5018: nd_pot_nelim = ord->pot_nelim;
5019: nd_dcomp = -1;
5020: nd_isrlex = 0;
1.157 noro 5021: nd_matrix_len = ord->ord.matrix.row;
5022: nd_matrix = ord->ord.matrix.matrix;
5023: ndl_compare_function = ndl_module_matrix_compare;
5024: break;
5025: case 259:
5026: /* composite order */
1.174 noro 5027: nd_ispot = ord->ispot;
5028: nd_pot_nelim = ord->pot_nelim;
5029: nd_dcomp = -1;
5030: nd_isrlex = 0;
1.157 noro 5031: nd_worb_len = ord->ord.composite.length;
5032: nd_worb = ord->ord.composite.w_or_b;
5033: ndl_compare_function = ndl_module_composite_compare;
5034: break;
5035: }
5036: nd_ord = ord;
1.32 noro 5037: }
5038:
1.43 noro 5039: BlockMask nd_create_blockmask(struct order_spec *ord)
5040: {
1.157 noro 5041: int n,i,j,s,l;
5042: UINT *t;
5043: BlockMask bm;
5044:
5045: /* we only create mask table for block order */
1.164 noro 5046: if ( ord->id != 1 && ord->id != 257 )
1.157 noro 5047: return 0;
5048: n = ord->ord.block.length;
5049: bm = (BlockMask)MALLOC(sizeof(struct oBlockMask));
5050: bm->n = n;
5051: bm->order_pair = ord->ord.block.order_pair;
5052: bm->mask = (UINT **)MALLOC(n*sizeof(UINT *));
5053: for ( i = 0, s = 0; i < n; i++ ) {
5054: bm->mask[i] = t = (UINT *)MALLOC_ATOMIC(nd_wpd*sizeof(UINT));
5055: for ( j = 0; j < nd_wpd; j++ ) t[j] = 0;
5056: l = bm->order_pair[i].length;
5057: for ( j = 0; j < l; j++, s++ ) PUT_EXP(t,s,nd_mask0);
5058: }
5059: return bm;
1.57 noro 5060: }
5061:
5062: EPOS nd_create_epos(struct order_spec *ord)
5063: {
1.157 noro 5064: int i,j,l,s,ord_l,ord_o;
5065: EPOS epos;
5066: struct order_pair *op;
5067:
5068: epos = (EPOS)MALLOC_ATOMIC(nd_nvar*sizeof(struct oEPOS));
5069: switch ( ord->id ) {
1.164 noro 5070: case 0: case 256:
1.157 noro 5071: if ( nd_isrlex ) {
5072: for ( i = 0; i < nd_nvar; i++ ) {
5073: epos[i].i = nd_exporigin + (nd_nvar-1-i)/nd_epw;
5074: epos[i].s = (nd_epw-((nd_nvar-1-i)%nd_epw)-1)*nd_bpe;
5075: }
5076: } else {
5077: for ( i = 0; i < nd_nvar; i++ ) {
5078: epos[i].i = nd_exporigin + i/nd_epw;
5079: epos[i].s = (nd_epw-(i%nd_epw)-1)*nd_bpe;
5080: }
5081: }
5082: break;
1.164 noro 5083: case 1: case 257:
1.157 noro 5084: /* block order */
5085: l = ord->ord.block.length;
5086: op = ord->ord.block.order_pair;
5087: for ( j = 0, s = 0; j < l; j++ ) {
5088: ord_o = op[j].order;
5089: ord_l = op[j].length;
5090: if ( !ord_o )
5091: for ( i = 0; i < ord_l; i++ ) {
5092: epos[s+i].i = nd_exporigin + (s+ord_l-i-1)/nd_epw;
5093: epos[s+i].s = (nd_epw-((s+ord_l-i-1)%nd_epw)-1)*nd_bpe;
5094: }
5095: else
5096: for ( i = 0; i < ord_l; i++ ) {
5097: epos[s+i].i = nd_exporigin + (s+i)/nd_epw;
5098: epos[s+i].s = (nd_epw-((s+i)%nd_epw)-1)*nd_bpe;
5099: }
5100: s += ord_l;
5101: }
5102: break;
5103: case 2:
5104: /* matrix order */
5105: case 3:
5106: /* composite order */
1.167 noro 5107: default:
1.157 noro 5108: for ( i = 0; i < nd_nvar; i++ ) {
5109: epos[i].i = nd_exporigin + i/nd_epw;
5110: epos[i].s = (nd_epw-(i%nd_epw)-1)*nd_bpe;
5111: }
5112: break;
5113: }
5114: return epos;
1.43 noro 5115: }
1.59 noro 5116:
5117: /* external interface */
5118:
1.191 noro 5119: void nd_nf_p(Obj f,LIST g,LIST v,int m,struct order_spec *ord,Obj *rp)
1.59 noro 5120: {
1.157 noro 5121: NODE t,in0,in;
1.191 noro 5122: ND ndf,nf;
5123: NDV ndvf;
1.157 noro 5124: VL vv,tv;
1.191 noro 5125: int stat,nvar,max,mrank;
1.157 noro 5126: union oNDC dn;
5127: Q cont;
5128: P pp;
1.191 noro 5129: LIST ppl;
1.157 noro 5130:
5131: if ( !f ) {
5132: *rp = 0;
5133: return;
5134: }
5135: pltovl(v,&vv);
5136: for ( nvar = 0, tv = vv; tv; tv = NEXT(tv), nvar++ );
5137:
1.191 noro 5138: /* max=65536 implies nd_bpe=32 */
5139: max = 65536;
1.157 noro 5140:
1.191 noro 5141: nd_module = 0;
5142: /* nd_module will be set if ord is a module ordering */
1.157 noro 5143: nd_init_ord(ord);
5144: nd_setup_parameters(nvar,max);
1.191 noro 5145: if ( nd_module && OID(f) != O_LIST )
5146: error("nd_nf_p : the first argument must be a list");
5147: if ( nd_module ) mrank = length(BDY((LIST)f));
1.157 noro 5148: /* conversion to ndv */
5149: for ( in0 = 0, t = BDY(g); t; t = NEXT(t) ) {
5150: NEXTNODE(in0,in);
1.191 noro 5151: if ( nd_module ) {
5152: if ( !BDY(t) || OID(BDY(t)) != O_LIST
5153: || length(BDY((LIST)BDY(t))) != mrank )
5154: error("nd_nf_p : inconsistent basis element");
5155: if ( !m ) pltozpl((LIST)BDY(t),&cont,&ppl);
5156: else ppl = (LIST)BDY(t);
5157: BDY(in) = (pointer)pltondv(CO,vv,ppl);
5158: } else {
5159: if ( !m ) ptozp((P)BDY(t),1,&cont,&pp);
5160: else pp = (P)BDY(t);
5161: BDY(in) = (pointer)ptondv(CO,vv,pp);
5162: }
1.157 noro 5163: if ( m ) ndv_mod(m,(NDV)BDY(in));
5164: }
1.191 noro 5165: if ( in0 ) NEXT(in) = 0;
5166:
5167: if ( nd_module ) ndvf = pltondv(CO,vv,(LIST)f);
5168: else ndvf = ptondv(CO,vv,(P)f);
5169: if ( m ) ndv_mod(m,ndvf);
5170: ndf = (pointer)ndvtond(m,ndvf);
1.157 noro 5171:
5172: /* dont sort, dont removecont */
5173: ndv_setup(m,0,in0,1,1);
5174: nd_scale=2;
1.191 noro 5175: stat = nd_nf(m,0,ndf,nd_ps,1,0,&nf);
5176: if ( !stat )
5177: error("nd_nf_p : exponent too large");
5178: if ( nd_module ) *rp = (Obj)ndvtopl(m,CO,vv,ndtondv(m,nf),mrank);
5179: else *rp = (Obj)ndvtop(m,CO,vv,ndtondv(m,nf));
1.63 noro 5180: }
5181:
5182: int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r)
5183: {
1.157 noro 5184: NM m;
5185: UINT *t,*s;
5186: int i;
5187:
5188: for ( i = 0; i < n; i++ ) r[i] = 0;
5189: for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) {
5190: t = DL(m);
5191: for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );
5192: r[i] = CM(m);
5193: }
5194: for ( i = 0; !r[i]; i++ );
5195: return i;
1.63 noro 5196: }
5197:
1.113 noro 5198: int nd_to_vect_q(UINT *s0,int n,ND d,Q *r)
1.74 noro 5199: {
1.157 noro 5200: NM m;
5201: UINT *t,*s;
5202: int i;
5203:
5204: for ( i = 0; i < n; i++ ) r[i] = 0;
5205: for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) {
5206: t = DL(m);
5207: for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );
5208: r[i] = CQ(m);
5209: }
5210: for ( i = 0; !r[i]; i++ );
5211: return i;
1.74 noro 5212: }
5213:
1.129 noro 5214: Q *nm_ind_pair_to_vect(int mod,UINT *s0,int n,NM_ind_pair pair)
5215: {
1.157 noro 5216: NM m;
5217: NMV mr;
5218: UINT *d,*t,*s;
5219: NDV p;
5220: int i,j,len;
5221: Q *r;
5222:
5223: m = pair->mul;
5224: d = DL(m);
5225: p = nd_ps[pair->index];
5226: len = LEN(p);
5227: r = (Q *)CALLOC(n,sizeof(Q));
5228: t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
5229: for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) {
5230: ndl_add(d,DL(mr),t);
5231: for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );
5232: r[i] = CQ(mr);
5233: }
5234: return r;
1.129 noro 5235: }
5236:
1.67 noro 5237: IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0,int n,NM_ind_pair pair)
1.64 noro 5238: {
1.157 noro 5239: NM m;
5240: NMV mr;
5241: UINT *d,*t,*s;
5242: NDV p;
5243: unsigned char *ivc;
5244: unsigned short *ivs;
5245: UINT *v,*ivi,*s0v;
5246: int i,j,len,prev,diff,cdiff;
5247: IndArray r;
1.198 noro 5248: struct oEGT eg0,eg1;
1.157 noro 5249:
5250: m = pair->mul;
5251: d = DL(m);
5252: p = nd_ps[pair->index];
5253: len = LEN(p);
5254: t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
5255: v = (unsigned int *)ALLOCA(len*sizeof(unsigned int));
1.198 noro 5256: get_eg(&eg0);
1.157 noro 5257: for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) {
5258: ndl_add(d,DL(mr),t);
5259: for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );
5260: v[j] = i;
5261: }
1.198 noro 5262: get_eg(&eg1); add_eg(&eg_search,&eg0,&eg1);
1.157 noro 5263: r = (IndArray)MALLOC(sizeof(struct oIndArray));
5264: r->head = v[0];
5265: diff = 0;
5266: for ( i = 1; i < len; i++ ) {
5267: cdiff = v[i]-v[i-1]; diff = MAX(cdiff,diff);
5268: }
5269: if ( diff < 256 ) {
5270: r->width = 1;
5271: ivc = (unsigned char *)MALLOC_ATOMIC(len*sizeof(unsigned char));
5272: r->index.c = ivc;
5273: for ( i = 1, ivc[0] = 0; i < len; i++ ) ivc[i] = v[i]-v[i-1];
5274: } else if ( diff < 65536 ) {
5275: r->width = 2;
5276: ivs = (unsigned short *)MALLOC_ATOMIC(len*sizeof(unsigned short));
5277: r->index.s = ivs;
5278: for ( i = 1, ivs[0] = 0; i < len; i++ ) ivs[i] = v[i]-v[i-1];
5279: } else {
5280: r->width = 4;
5281: ivi = (unsigned int *)MALLOC_ATOMIC(len*sizeof(unsigned int));
5282: r->index.i = ivi;
5283: for ( i = 1, ivi[0] = 0; i < len; i++ ) ivi[i] = v[i]-v[i-1];
5284: }
5285: return r;
1.64 noro 5286: }
5287:
1.135 noro 5288: int compress_array(Q *svect,Q *cvect,int n)
5289: {
1.157 noro 5290: int i,j;
1.135 noro 5291:
1.157 noro 5292: for ( i = j = 0; i < n; i++ )
5293: if ( svect[i] ) cvect[j++] = svect[i];
5294: return j;
1.135 noro 5295: }
5296:
5297: void expand_array(Q *svect,Q *cvect,int n)
5298: {
1.157 noro 5299: int i,j;
1.135 noro 5300:
1.157 noro 5301: for ( i = j = 0; j < n; i++ )
5302: if ( svect[i] ) svect[i] = cvect[j++];
1.135 noro 5303: }
5304:
1.133 noro 5305: int ndv_reduce_vect_q(Q *svect,int trace,int col,IndArray *imat,NM_ind_pair *rp0,int nred)
1.107 noro 5306: {
1.157 noro 5307: int i,j,k,len,pos,prev,nz;
5308: Q cs,mcs,c1,c2,cr,gcd,t;
5309: IndArray ivect;
5310: unsigned char *ivc;
5311: unsigned short *ivs;
5312: unsigned int *ivi;
5313: NDV redv;
5314: NMV mr;
5315: NODE rp;
5316: int maxrs;
5317: double hmag;
5318: Q *cvect;
5319:
5320: maxrs = 0;
5321: for ( i = 0; i < col && !svect[i]; i++ );
5322: if ( i == col ) return maxrs;
5323: hmag = p_mag((P)svect[i])*nd_scale;
5324: cvect = (Q *)ALLOCA(col*sizeof(Q));
5325: for ( i = 0; i < nred; i++ ) {
5326: ivect = imat[i];
5327: k = ivect->head;
5328: if ( svect[k] ) {
5329: maxrs = MAX(maxrs,rp0[i]->sugar);
5330: redv = trace?nd_ps_trace[rp0[i]->index]:nd_ps[rp0[i]->index];
5331: len = LEN(redv); mr = BDY(redv);
5332: igcd_cofactor(svect[k],CQ(mr),&gcd,&cs,&cr);
5333: chsgnq(cs,&mcs);
5334: if ( !UNIQ(cr) ) {
5335: for ( j = 0; j < col; j++ ) {
5336: mulq(svect[j],cr,&c1); svect[j] = c1;
5337: }
5338: }
5339: svect[k] = 0; prev = k;
5340: switch ( ivect->width ) {
5341: case 1:
5342: ivc = ivect->index.c;
5343: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
5344: pos = prev+ivc[j]; prev = pos;
5345: mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t;
5346: }
5347: break;
5348: case 2:
5349: ivs = ivect->index.s;
5350: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
5351: pos = prev+ivs[j]; prev = pos;
5352: mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t;
5353: }
5354: break;
5355: case 4:
5356: ivi = ivect->index.i;
5357: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
5358: pos = prev+ivi[j]; prev = pos;
5359: mulq(CQ(mr),mcs,&c2); addq(svect[pos],c2,&t); svect[pos] = t;
5360: }
5361: break;
5362: }
5363: for ( j = k+1; j < col && !svect[j]; j++ );
5364: if ( j == col ) break;
5365: if ( hmag && ((double)p_mag((P)svect[j]) > hmag) ) {
5366: nz = compress_array(svect,cvect,col);
5367: removecont_array((P *)cvect,nz,1);
5368: expand_array(svect,cvect,nz);
5369: hmag = ((double)p_mag((P)svect[j]))*nd_scale;
5370: }
5371: }
5372: }
5373: nz = compress_array(svect,cvect,col);
5374: removecont_array((P *)cvect,nz,1);
5375: expand_array(svect,cvect,nz);
5376: if ( DP_Print ) {
5377: fprintf(asir_out,"-"); fflush(asir_out);
5378: }
5379: return maxrs;
1.107 noro 5380: }
5381:
1.76 noro 5382: int ndv_reduce_vect(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred)
1.65 noro 5383: {
1.157 noro 5384: int i,j,k,len,pos,prev;
5385: UINT c,c1,c2,c3,up,lo,dmy;
5386: IndArray ivect;
5387: unsigned char *ivc;
5388: unsigned short *ivs;
5389: unsigned int *ivi;
5390: NDV redv;
5391: NMV mr;
5392: NODE rp;
5393: int maxrs;
5394:
5395: maxrs = 0;
5396: for ( i = 0; i < nred; i++ ) {
5397: ivect = imat[i];
5398: k = ivect->head; svect[k] %= m;
5399: if ( c = svect[k] ) {
5400: maxrs = MAX(maxrs,rp0[i]->sugar);
5401: c = m-c; redv = nd_ps[rp0[i]->index];
5402: len = LEN(redv); mr = BDY(redv);
5403: svect[k] = 0; prev = k;
5404: switch ( ivect->width ) {
5405: case 1:
5406: ivc = ivect->index.c;
5407: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
5408: pos = prev+ivc[j]; c1 = CM(mr); c2 = svect[pos];
5409: prev = pos;
5410: DMA(c1,c,c2,up,lo);
5411: if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3;
5412: } else svect[pos] = lo;
5413: }
5414: break;
5415: case 2:
5416: ivs = ivect->index.s;
5417: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
5418: pos = prev+ivs[j]; c1 = CM(mr); c2 = svect[pos];
5419: prev = pos;
5420: DMA(c1,c,c2,up,lo);
5421: if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3;
5422: } else svect[pos] = lo;
5423: }
5424: break;
5425: case 4:
5426: ivi = ivect->index.i;
5427: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
5428: pos = prev+ivi[j]; c1 = CM(mr); c2 = svect[pos];
5429: prev = pos;
5430: DMA(c1,c,c2,up,lo);
5431: if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3;
5432: } else svect[pos] = lo;
5433: }
5434: break;
5435: }
5436: }
5437: }
5438: for ( i = 0; i < col; i++ )
5439: if ( svect[i] >= (UINT)m ) svect[i] %= m;
5440: return maxrs;
1.65 noro 5441: }
5442:
1.76 noro 5443: int ndv_reduce_vect_sf(int m,UINT *svect,int col,IndArray *imat,NM_ind_pair *rp0,int nred)
1.72 noro 5444: {
1.157 noro 5445: int i,j,k,len,pos,prev;
5446: UINT c,c1,c2,c3,up,lo,dmy;
5447: IndArray ivect;
5448: unsigned char *ivc;
5449: unsigned short *ivs;
5450: unsigned int *ivi;
5451: NDV redv;
5452: NMV mr;
5453: NODE rp;
5454: int maxrs;
5455:
5456: maxrs = 0;
5457: for ( i = 0; i < nred; i++ ) {
5458: ivect = imat[i];
5459: k = ivect->head; svect[k] %= m;
5460: if ( c = svect[k] ) {
5461: maxrs = MAX(maxrs,rp0[i]->sugar);
5462: c = _chsgnsf(c); redv = nd_ps[rp0[i]->index];
5463: len = LEN(redv); mr = BDY(redv);
5464: svect[k] = 0; prev = k;
5465: switch ( ivect->width ) {
5466: case 1:
5467: ivc = ivect->index.c;
5468: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
5469: pos = prev+ivc[j]; prev = pos;
5470: svect[pos] = _addsf(_mulsf(CM(mr),c),svect[pos]);
5471: }
5472: break;
5473: case 2:
5474: ivs = ivect->index.s;
5475: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
5476: pos = prev+ivs[j]; prev = pos;
5477: svect[pos] = _addsf(_mulsf(CM(mr),c),svect[pos]);
5478: }
5479: break;
5480: case 4:
5481: ivi = ivect->index.i;
5482: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
5483: pos = prev+ivi[j]; prev = pos;
5484: svect[pos] = _addsf(_mulsf(CM(mr),c),svect[pos]);
5485: }
5486: break;
5487: }
5488: }
5489: }
5490: return maxrs;
1.72 noro 5491: }
5492:
1.65 noro 5493: NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhead,UINT *s0vect)
5494: {
1.157 noro 5495: int j,k,len;
5496: UINT *p;
5497: UINT c;
5498: NDV r;
5499: NMV mr0,mr;
5500:
5501: for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++;
5502: if ( !len ) return 0;
5503: else {
1.200 ! noro 5504: mr0 = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len);
1.103 noro 5505: #if 0
1.157 noro 5506: ndv_alloc += nmv_adv*len;
1.103 noro 5507: #endif
1.157 noro 5508: mr = mr0;
5509: p = s0vect;
5510: for ( j = k = 0; j < col; j++, p += nd_wpd )
5511: if ( !rhead[j] ) {
5512: if ( c = vect[k++] ) {
5513: ndl_copy(p,DL(mr)); CM(mr) = c; NMV_ADV(mr);
5514: }
5515: }
5516: MKNDV(nd_nvar,mr0,len,r);
5517: return r;
5518: }
1.65 noro 5519: }
5520:
1.129 noro 5521: /* for preprocessed vector */
5522:
1.113 noro 5523: NDV vect_to_ndv_q(Q *vect,int spcol,int col,int *rhead,UINT *s0vect)
1.107 noro 5524: {
1.157 noro 5525: int j,k,len;
5526: UINT *p;
5527: Q c;
5528: NDV r;
5529: NMV mr0,mr;
5530:
5531: for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++;
5532: if ( !len ) return 0;
5533: else {
1.200 ! noro 5534: mr0 = (NMV)MALLOC(nmv_adv*len);
1.107 noro 5535: #if 0
1.157 noro 5536: ndv_alloc += nmv_adv*len;
1.107 noro 5537: #endif
1.157 noro 5538: mr = mr0;
5539: p = s0vect;
5540: for ( j = k = 0; j < col; j++, p += nd_wpd )
5541: if ( !rhead[j] ) {
5542: if ( c = vect[k++] ) {
5543: if ( DN(c) )
5544: error("afo");
5545: ndl_copy(p,DL(mr)); CQ(mr) = c; NMV_ADV(mr);
5546: }
5547: }
5548: MKNDV(nd_nvar,mr0,len,r);
5549: return r;
5550: }
1.107 noro 5551: }
5552:
1.129 noro 5553: /* for plain vector */
5554:
5555: NDV plain_vect_to_ndv_q(Q *vect,int col,UINT *s0vect)
5556: {
1.157 noro 5557: int j,k,len;
5558: UINT *p;
5559: Q c;
5560: NDV r;
5561: NMV mr0,mr;
5562:
5563: for ( j = 0, len = 0; j < col; j++ ) if ( vect[j] ) len++;
5564: if ( !len ) return 0;
5565: else {
1.200 ! noro 5566: mr0 = (NMV)MALLOC(nmv_adv*len);
1.129 noro 5567: #if 0
1.157 noro 5568: ndv_alloc += nmv_adv*len;
1.129 noro 5569: #endif
1.157 noro 5570: mr = mr0;
5571: p = s0vect;
5572: for ( j = k = 0; j < col; j++, p += nd_wpd, k++ )
5573: if ( c = vect[k] ) {
5574: if ( DN(c) )
5575: error("afo");
5576: ndl_copy(p,DL(mr)); CQ(mr) = c; NMV_ADV(mr);
5577: }
5578: MKNDV(nd_nvar,mr0,len,r);
5579: return r;
5580: }
1.129 noro 5581: }
5582:
1.133 noro 5583: int nd_sp_f4(int m,int trace,ND_pairs l,PGeoBucket bucket)
1.65 noro 5584: {
1.157 noro 5585: ND_pairs t;
5586: NODE sp0,sp;
5587: int stat;
5588: ND spol;
5589:
5590: for ( t = l; t; t = NEXT(t) ) {
5591: stat = nd_sp(m,trace,t,&spol);
5592: if ( !stat ) return 0;
5593: if ( spol ) {
5594: add_pbucket_symbolic(bucket,spol);
5595: }
5596: }
5597: return 1;
1.65 noro 5598: }
5599:
1.133 noro 5600: int nd_symbolic_preproc(PGeoBucket bucket,int trace,UINT **s0vect,NODE *r)
1.65 noro 5601: {
1.157 noro 5602: NODE rp0,rp;
5603: NM mul,head,s0,s;
5604: int index,col,i,sugar;
5605: RHist h;
5606: UINT *s0v,*p;
5607: NM_ind_pair pair;
5608: ND red;
5609: NDV *ps;
5610:
5611: s0 = 0; rp0 = 0; col = 0;
5612: ps = trace?nd_ps_trace:nd_ps;
5613: while ( 1 ) {
5614: head = remove_head_pbucket_symbolic(bucket);
5615: if ( !head ) break;
5616: if ( !s0 ) s0 = head;
5617: else NEXT(s) = head;
5618: s = head;
5619: index = ndl_find_reducer(DL(head));
5620: if ( index >= 0 ) {
5621: h = nd_psh[index];
5622: NEWNM(mul);
5623: ndl_sub(DL(head),DL(h),DL(mul));
5624: if ( ndl_check_bound2(index,DL(mul)) ) return 0;
5625: sugar = TD(DL(mul))+SG(ps[index]);
5626: MKNM_ind_pair(pair,mul,index,sugar);
5627: red = ndv_mul_nm_symbolic(mul,ps[index]);
5628: add_pbucket_symbolic(bucket,nd_remove_head(red));
5629: NEXTNODE(rp0,rp); BDY(rp) = (pointer)pair;
5630: }
5631: col++;
5632: }
5633: if ( rp0 ) NEXT(rp) = 0;
5634: NEXT(s) = 0;
5635: s0v = (UINT *)MALLOC_ATOMIC(col*nd_wpd*sizeof(UINT));
5636: for ( i = 0, p = s0v, s = s0; i < col;
5637: i++, p += nd_wpd, s = NEXT(s) ) ndl_copy(DL(s),p);
5638: *s0vect = s0v;
5639: *r = rp0;
5640: return col;
1.65 noro 5641: }
5642:
1.198 noro 5643:
1.167 noro 5644: NODE nd_f4(int m,int **indp)
1.69 noro 5645: {
1.157 noro 5646: int i,nh,stat,index;
5647: NODE r,g;
5648: ND_pairs d,l,t;
5649: ND spol,red;
5650: NDV nf,redv;
5651: NM s0,s;
5652: NODE rp0,srp0,nflist;
5653: int nsp,nred,col,rank,len,k,j,a;
5654: UINT c;
5655: UINT **spmat;
5656: UINT *s0vect,*svect,*p,*v;
5657: int *colstat;
5658: IndArray *imat;
5659: int *rhead;
5660: int spcol,sprow;
5661: int sugar;
5662: PGeoBucket bucket;
5663: struct oEGT eg0,eg1,eg_f4;
1.69 noro 5664:
1.103 noro 5665: #if 0
1.157 noro 5666: ndv_alloc = 0;
1.103 noro 5667: #endif
1.157 noro 5668: g = 0; d = 0;
5669: for ( i = 0; i < nd_psn; i++ ) {
1.168 noro 5670: d = update_pairs(d,g,i,0);
1.157 noro 5671: g = update_base(g,i);
5672: }
5673: while ( d ) {
5674: get_eg(&eg0);
5675: l = nd_minsugarp(d,&d);
5676: sugar = SG(l);
5677: bucket = create_pbucket();
5678: stat = nd_sp_f4(m,0,l,bucket);
5679: if ( !stat ) {
5680: for ( t = l; NEXT(t); t = NEXT(t) );
5681: NEXT(t) = d; d = l;
5682: d = nd_reconstruct(0,d);
5683: continue;
5684: }
5685: if ( bucket->m < 0 ) continue;
5686: col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0);
5687: if ( !col ) {
5688: for ( t = l; NEXT(t); t = NEXT(t) );
5689: NEXT(t) = d; d = l;
5690: d = nd_reconstruct(0,d);
5691: continue;
5692: }
5693: get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1);
5694: if ( DP_Print )
5695: fprintf(asir_out,"sugar=%d,symb=%fsec,",
5696: sugar,eg_f4.exectime+eg_f4.gctime);
5697: if ( 1 )
5698: nflist = nd_f4_red(m,l,0,s0vect,col,rp0,0);
5699: else
5700: nflist = nd_f4_red_dist(m,l,s0vect,col,rp0,0);
5701: /* adding new bases */
5702: for ( r = nflist; r; r = NEXT(r) ) {
5703: nf = (NDV)BDY(r);
5704: ndv_removecont(m,nf);
5705: if ( !m && nd_nalg ) {
5706: ND nf1;
5707:
5708: nf1 = ndvtond(m,nf);
5709: nd_monic(0,&nf1);
5710: nd_removecont(m,nf1);
5711: nf = ndtondv(m,nf1);
5712: }
5713: nh = ndv_newps(m,nf,0);
1.168 noro 5714: d = update_pairs(d,g,nh,0);
1.157 noro 5715: g = update_base(g,nh);
5716: }
5717: }
1.103 noro 5718: #if 0
1.157 noro 5719: fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc);
1.103 noro 5720: #endif
1.167 noro 5721: conv_ilist(0,0,g,indp);
1.157 noro 5722: return g;
1.69 noro 5723: }
1.74 noro 5724:
1.167 noro 5725: NODE nd_f4_trace(int m,int **indp)
1.133 noro 5726: {
1.157 noro 5727: int i,nh,stat,index;
5728: NODE r,g;
5729: ND_pairs d,l,l0,t;
5730: ND spol,red;
5731: NDV nf,redv,nfqv,nfv;
5732: NM s0,s;
5733: NODE rp0,srp0,nflist;
5734: int nsp,nred,col,rank,len,k,j,a;
5735: UINT c;
5736: UINT **spmat;
5737: UINT *s0vect,*svect,*p,*v;
5738: int *colstat;
5739: IndArray *imat;
5740: int *rhead;
5741: int spcol,sprow;
5742: int sugar;
5743: PGeoBucket bucket;
5744: struct oEGT eg0,eg1,eg_f4;
5745:
5746: g = 0; d = 0;
5747: for ( i = 0; i < nd_psn; i++ ) {
1.168 noro 5748: d = update_pairs(d,g,i,0);
1.157 noro 5749: g = update_base(g,i);
5750: }
5751: while ( d ) {
5752: get_eg(&eg0);
5753: l = nd_minsugarp(d,&d);
5754: sugar = SG(l);
5755: bucket = create_pbucket();
5756: stat = nd_sp_f4(m,0,l,bucket);
5757: if ( !stat ) {
5758: for ( t = l; NEXT(t); t = NEXT(t) );
5759: NEXT(t) = d; d = l;
5760: d = nd_reconstruct(1,d);
5761: continue;
5762: }
5763: if ( bucket->m < 0 ) continue;
5764: col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0);
5765: if ( !col ) {
5766: for ( t = l; NEXT(t); t = NEXT(t) );
5767: NEXT(t) = d; d = l;
5768: d = nd_reconstruct(1,d);
5769: continue;
5770: }
5771: get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1);
5772: if ( DP_Print )
5773: fprintf(asir_out,"sugar=%d,symb=%fsec,",
5774: sugar,eg_f4.exectime+eg_f4.gctime);
5775: nflist = nd_f4_red(m,l,0,s0vect,col,rp0,&l0);
5776: if ( !l0 ) continue;
5777: l = l0;
5778:
5779: /* over Q */
5780: bucket = create_pbucket();
5781: stat = nd_sp_f4(0,1,l,bucket);
5782: if ( !stat ) {
5783: for ( t = l; NEXT(t); t = NEXT(t) );
5784: NEXT(t) = d; d = l;
5785: d = nd_reconstruct(1,d);
5786: continue;
5787: }
5788: if ( bucket->m < 0 ) continue;
5789: col = nd_symbolic_preproc(bucket,1,&s0vect,&rp0);
5790: if ( !col ) {
5791: for ( t = l; NEXT(t); t = NEXT(t) );
5792: NEXT(t) = d; d = l;
5793: d = nd_reconstruct(1,d);
5794: continue;
5795: }
5796: nflist = nd_f4_red(0,l,1,s0vect,col,rp0,0);
5797: /* adding new bases */
5798: for ( r = nflist; r; r = NEXT(r) ) {
5799: nfqv = (NDV)BDY(r);
5800: ndv_removecont(0,nfqv);
5801: if ( !rem(NM(HCQ(nfqv)),m) ) return 0;
5802: if ( nd_nalg ) {
5803: ND nf1;
5804:
5805: nf1 = ndvtond(m,nfqv);
5806: nd_monic(0,&nf1);
5807: nd_removecont(0,nf1);
5808: nfqv = ndtondv(0,nf1); nd_free(nf1);
5809: }
5810: nfv = ndv_dup(0,nfqv);
5811: ndv_mod(m,nfv);
5812: ndv_removecont(m,nfv);
5813: nh = ndv_newps(0,nfv,nfqv);
1.168 noro 5814: d = update_pairs(d,g,nh,0);
1.157 noro 5815: g = update_base(g,nh);
5816: }
5817: }
1.133 noro 5818: #if 0
1.157 noro 5819: fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc);
1.133 noro 5820: #endif
1.167 noro 5821: conv_ilist(0,1,g,indp);
1.157 noro 5822: return g;
1.133 noro 5823: }
5824:
1.176 noro 5825: NODE nd_f4_pseudo_trace(int m,int **indp)
5826: {
5827: int i,nh,stat,index;
5828: NODE r,g;
5829: ND_pairs d,l,l0,t;
5830: ND spol,red;
5831: NDV nf,redv,nfqv,nfv;
5832: NM s0,s;
5833: NODE rp0,srp0,nflist;
5834: int nsp,nred,col,rank,len,k,j,a;
5835: UINT c;
5836: UINT **spmat;
5837: UINT *s0vect,*svect,*p,*v;
5838: int *colstat;
5839: IndArray *imat;
5840: int *rhead;
5841: int spcol,sprow;
5842: int sugar;
5843: PGeoBucket bucket;
5844: struct oEGT eg0,eg1,eg_f4;
5845:
5846: g = 0; d = 0;
5847: for ( i = 0; i < nd_psn; i++ ) {
5848: d = update_pairs(d,g,i,0);
5849: g = update_base(g,i);
5850: }
5851: while ( d ) {
5852: get_eg(&eg0);
5853: l = nd_minsugarp(d,&d);
5854: sugar = SG(l);
5855: bucket = create_pbucket();
5856: stat = nd_sp_f4(m,0,l,bucket);
5857: if ( !stat ) {
5858: for ( t = l; NEXT(t); t = NEXT(t) );
5859: NEXT(t) = d; d = l;
5860: d = nd_reconstruct(1,d);
5861: continue;
5862: }
5863: if ( bucket->m < 0 ) continue;
5864: col = nd_symbolic_preproc(bucket,0,&s0vect,&rp0);
5865: if ( !col ) {
5866: for ( t = l; NEXT(t); t = NEXT(t) );
5867: NEXT(t) = d; d = l;
5868: d = nd_reconstruct(1,d);
5869: continue;
5870: }
5871: get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1);
5872: if ( DP_Print )
5873: fprintf(asir_out,"sugar=%d,symb=%fsec,",
5874: sugar,eg_f4.exectime+eg_f4.gctime);
5875: nflist = nd_f4_red(m,l,0,s0vect,col,rp0,&l0);
5876: if ( !l0 ) continue;
5877: l = l0;
5878:
5879: /* over Q */
5880: while ( 1 ) {
5881: bucket = create_pbucket();
5882: stat = nd_sp_f4(0,1,l,bucket);
5883: if ( !stat ) {
5884: for ( t = l; NEXT(t); t = NEXT(t) );
5885: NEXT(t) = d; d = l;
5886: d = nd_reconstruct(1,d);
5887: continue;
5888: }
5889: if ( bucket->m < 0 ) continue;
5890: col = nd_symbolic_preproc(bucket,1,&s0vect,&rp0);
5891: if ( !col ) {
5892: for ( t = l; NEXT(t); t = NEXT(t) );
5893: NEXT(t) = d; d = l;
5894: d = nd_reconstruct(1,d);
5895: continue;
5896: }
5897: nflist = nd_f4_red(0,l,1,s0vect,col,rp0,0);
5898: }
5899:
5900: /* adding new bases */
5901: for ( r = nflist; r; r = NEXT(r) ) {
5902: nfqv = (NDV)BDY(r);
5903: ndv_removecont(0,nfqv);
5904: if ( !rem(NM(HCQ(nfqv)),m) ) return 0;
5905: if ( nd_nalg ) {
5906: ND nf1;
5907:
5908: nf1 = ndvtond(m,nfqv);
5909: nd_monic(0,&nf1);
5910: nd_removecont(0,nf1);
5911: nfqv = ndtondv(0,nf1); nd_free(nf1);
5912: }
5913: nfv = ndv_dup(0,nfqv);
5914: ndv_mod(m,nfv);
5915: ndv_removecont(m,nfv);
5916: nh = ndv_newps(0,nfv,nfqv);
5917: d = update_pairs(d,g,nh,0);
5918: g = update_base(g,nh);
5919: }
5920: }
5921: #if 0
5922: fprintf(asir_out,"ndv_alloc=%d\n",ndv_alloc);
5923: #endif
5924: conv_ilist(0,1,g,indp);
5925: return g;
5926: }
5927:
1.133 noro 5928: NODE nd_f4_red(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,ND_pairs *nz)
1.63 noro 5929: {
1.157 noro 5930: IndArray *imat;
5931: int nsp,nred,i;
5932: int *rhead;
5933: NODE r0,rp;
5934: ND_pairs sp;
5935: NM_ind_pair *rvect;
1.198 noro 5936: init_eg(&eg_search);
1.157 noro 5937: for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ );
5938: nred = length(rp0);
5939: imat = (IndArray *)ALLOCA(nred*sizeof(IndArray));
5940: rhead = (int *)ALLOCA(col*sizeof(int));
5941: for ( i = 0; i < col; i++ ) rhead[i] = 0;
5942:
5943: /* construction of index arrays */
5944: rvect = (NM_ind_pair *)ALLOCA(nred*sizeof(NM_ind_pair));
5945: for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) {
5946: rvect[i] = (NM_ind_pair)BDY(rp);
5947: imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,rvect[i]);
5948: rhead[imat[i]->head] = 1;
5949: }
5950: if ( m )
5951: r0 = nd_f4_red_main(m,sp0,nsp,s0vect,col,rvect,rhead,imat,nred,nz);
5952: else
5953: r0 = nd_f4_red_q_main(sp0,nsp,trace,s0vect,col,rvect,rhead,imat,nred);
1.198 noro 5954: print_eg("search",&eg_search);
1.157 noro 5955: return r0;
1.106 noro 5956: }
1.74 noro 5957:
1.106 noro 5958: NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col,
1.133 noro 5959: NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz)
1.106 noro 5960: {
1.157 noro 5961: int spcol,sprow,a;
5962: int i,j,k,l,rank;
5963: NODE r0,r;
5964: ND_pairs sp;
5965: ND spol;
5966: int **spmat;
5967: UINT *svect,*v;
5968: int *colstat;
5969: struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2;
5970: int maxrs;
5971: int *spsugar;
5972: ND_pairs *spactive;
5973:
5974: spcol = col-nred;
5975: get_eg(&eg0);
5976: /* elimination (1st step) */
5977: spmat = (int **)ALLOCA(nsp*sizeof(UINT *));
5978: svect = (UINT *)ALLOCA(col*sizeof(UINT));
5979: spsugar = (int *)ALLOCA(nsp*sizeof(UINT));
5980: spactive = !nz?0:(ND_pairs *)ALLOCA(nsp*sizeof(ND_pairs));
5981: for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) {
5982: nd_sp(m,0,sp,&spol);
5983: if ( !spol ) continue;
5984: nd_to_vect(m,s0vect,col,spol,svect);
5985: if ( m == -1 )
5986: maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rvect,nred);
5987: else
5988: maxrs = ndv_reduce_vect(m,svect,col,imat,rvect,nred);
5989: for ( i = 0; i < col; i++ ) if ( svect[i] ) break;
5990: if ( i < col ) {
5991: spmat[sprow] = v = (UINT *)MALLOC_ATOMIC(spcol*sizeof(UINT));
5992: for ( j = k = 0; j < col; j++ )
5993: if ( !rhead[j] ) v[k++] = svect[j];
5994: spsugar[sprow] = MAX(maxrs,SG(spol));
5995: if ( nz )
5996: spactive[sprow] = sp;
5997: sprow++;
5998: }
5999: nd_free(spol);
6000: }
6001: get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1);
6002: if ( DP_Print ) {
6003: fprintf(asir_out,"elim1=%fsec,",eg_f4_1.exectime+eg_f4_1.gctime);
6004: fflush(asir_out);
6005: }
6006: /* free index arrays */
1.200 ! noro 6007: for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c);
1.157 noro 6008:
6009: /* elimination (2nd step) */
6010: colstat = (int *)ALLOCA(spcol*sizeof(int));
6011: if ( m == -1 )
6012: rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat);
6013: else
6014: rank = nd_gauss_elim_mod(spmat,spsugar,spactive,sprow,spcol,m,colstat);
6015: r0 = 0;
6016: for ( i = 0; i < rank; i++ ) {
6017: NEXTNODE(r0,r); BDY(r) =
6018: (pointer)vect_to_ndv(spmat[i],spcol,col,rhead,s0vect);
6019: SG((NDV)BDY(r)) = spsugar[i];
1.200 ! noro 6020: GCFREE(spmat[i]);
1.157 noro 6021: }
6022: if ( r0 ) NEXT(r) = 0;
6023:
1.200 ! noro 6024: for ( ; i < sprow; i++ ) GCFREE(spmat[i]);
1.157 noro 6025: get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2);
6026: init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2);
6027: if ( DP_Print ) {
6028: fprintf(asir_out,"elim2=%fsec\n",eg_f4_2.exectime+eg_f4_2.gctime);
6029: fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",
6030: nsp,nred,sprow,spcol,rank);
6031: fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime);
6032: }
6033: if ( nz ) {
6034: for ( i = 0; i < rank-1; i++ ) NEXT(spactive[i]) = spactive[i+1];
6035: if ( rank > 0 ) {
6036: NEXT(spactive[rank-1]) = 0;
6037: *nz = spactive[0];
6038: } else
6039: *nz = 0;
6040: }
6041: return r0;
1.74 noro 6042: }
6043:
1.133 noro 6044: #if 1
6045: NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,int trace,UINT *s0vect,int col,
1.107 noro 6046: NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred)
6047: {
1.157 noro 6048: int spcol,sprow,a;
6049: int i,j,k,l,rank;
6050: NODE r0,r;
6051: ND_pairs sp;
6052: ND spol;
6053: Q **spmat;
6054: Q *svect,*v;
6055: int *colstat;
6056: struct oEGT eg0,eg1,eg2,eg_f4,eg_f4_1,eg_f4_2;
6057: int maxrs;
6058: int *spsugar;
6059: pointer *w;
6060:
6061: spcol = col-nred;
6062: get_eg(&eg0);
6063: /* elimination (1st step) */
6064: spmat = (Q **)ALLOCA(nsp*sizeof(Q *));
6065: svect = (Q *)ALLOCA(col*sizeof(Q));
6066: spsugar = (int *)ALLOCA(nsp*sizeof(Q));
6067: for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) {
6068: nd_sp(0,trace,sp,&spol);
6069: if ( !spol ) continue;
6070: nd_to_vect_q(s0vect,col,spol,svect);
6071: maxrs = ndv_reduce_vect_q(svect,trace,col,imat,rvect,nred);
6072: for ( i = 0; i < col; i++ ) if ( svect[i] ) break;
6073: if ( i < col ) {
6074: spmat[sprow] = v = (Q *)MALLOC(spcol*sizeof(Q));
6075: for ( j = k = 0; j < col; j++ )
6076: if ( !rhead[j] ) v[k++] = svect[j];
6077: spsugar[sprow] = MAX(maxrs,SG(spol));
6078: sprow++;
6079: }
6080: /* nd_free(spol); */
6081: }
6082: get_eg(&eg1); init_eg(&eg_f4_1); add_eg(&eg_f4_1,&eg0,&eg1);
6083: if ( DP_Print ) {
6084: fprintf(asir_out,"elim1=%fsec,",eg_f4_1.exectime+eg_f4_1.gctime);
6085: fflush(asir_out);
6086: }
6087: /* free index arrays */
1.200 ! noro 6088: /* for ( i = 0; i < nred; i++ ) GCFREE(imat[i]->index.c); */
1.157 noro 6089:
6090: /* elimination (2nd step) */
6091: colstat = (int *)ALLOCA(spcol*sizeof(int));
6092: rank = nd_gauss_elim_q(spmat,spsugar,sprow,spcol,colstat);
6093: w = (pointer *)ALLOCA(rank*sizeof(pointer));
6094: for ( i = 0; i < rank; i++ ) {
6095: w[rank-i-1] = (pointer)vect_to_ndv_q(spmat[i],spcol,col,rhead,s0vect);
6096: SG((NDV)w[rank-i-1]) = spsugar[i];
1.200 ! noro 6097: /* GCFREE(spmat[i]); */
1.157 noro 6098: }
1.138 noro 6099: #if 0
1.157 noro 6100: qsort(w,rank,sizeof(NDV),
6101: (int (*)(const void *,const void *))ndv_compare);
1.137 noro 6102: #endif
1.157 noro 6103: r0 = 0;
6104: for ( i = 0; i < rank; i++ ) {
6105: NEXTNODE(r0,r); BDY(r) = w[i];
6106: }
6107: if ( r0 ) NEXT(r) = 0;
6108:
1.200 ! noro 6109: /* for ( ; i < sprow; i++ ) GCFREE(spmat[i]); */
1.157 noro 6110: get_eg(&eg2); init_eg(&eg_f4_2); add_eg(&eg_f4_2,&eg1,&eg2);
6111: init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg2);
6112: if ( DP_Print ) {
6113: fprintf(asir_out,"elim2=%fsec\n",eg_f4_2.exectime+eg_f4_2.gctime);
6114: fprintf(asir_out,"nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",
6115: nsp,nred,sprow,spcol,rank);
6116: fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime);
6117: }
6118: return r0;
1.107 noro 6119: }
1.129 noro 6120: #else
6121: void printm(Q **mat,int row,int col)
6122: {
1.157 noro 6123: int i,j;
6124: printf("[");
6125: for ( i = 0; i < row; i++ ) {
6126: for ( j = 0; j < col; j++ ) {
6127: printexpr(CO,mat[i][j]); printf(" ");
6128: }
6129: printf("]\n");
6130: }
1.129 noro 6131: }
6132:
6133: NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,UINT *s0vect,int col,
6134: NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred)
6135: {
1.157 noro 6136: int row,a;
6137: int i,j,rank;
6138: NODE r0,r;
6139: ND_pairs sp;
6140: ND spol;
6141: Q **mat;
6142: int *colstat;
6143: int *sugar;
6144:
6145: row = nsp+nred;
6146: /* make the matrix */
6147: mat = (Q **)ALLOCA(row*sizeof(Q *));
6148: sugar = (int *)ALLOCA(row*sizeof(int));
6149: for ( row = a = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) {
6150: nd_sp(0,0,sp,&spol);
6151: if ( !spol ) continue;
6152: mat[row] = (Q *)MALLOC(col*sizeof(Q));
6153: nd_to_vect_q(s0vect,col,spol,mat[row]);
6154: sugar[row] = SG(spol);
6155: row++;
6156: }
6157: for ( i = 0; i < nred; i++, row++ ) {
6158: mat[row] = nm_ind_pair_to_vect(0,s0vect,col,rvect[i]);
6159: sugar[row] = rvect[i]->sugar;
6160: }
6161: /* elimination */
6162: colstat = (int *)ALLOCA(col*sizeof(int));
6163: rank = nd_gauss_elim_q(mat,sugar,row,col,colstat);
6164: r0 = 0;
6165: for ( i = 0; i < rank; i++ ) {
6166: for ( j = 0; j < col; j++ ) if ( mat[i][j] ) break;
6167: if ( j == col ) error("nd_f4_red_q_main : cannot happen");
6168: if ( rhead[j] ) continue;
6169: NEXTNODE(r0,r); BDY(r) =
6170: (pointer)plain_vect_to_ndv_q(mat[i],col,s0vect);
6171: SG((NDV)BDY(r)) = sugar[i];
6172: }
6173: if ( r0 ) NEXT(r) = 0;
6174: printf("\n");
6175: return r0;
1.129 noro 6176: }
6177: #endif
1.107 noro 6178:
1.74 noro 6179: FILE *nd_write,*nd_read;
6180:
6181: void nd_send_int(int a) {
1.157 noro 6182: write_int(nd_write,&a);
1.74 noro 6183: }
6184:
6185: void nd_send_intarray(int *p,int len) {
1.157 noro 6186: write_intarray(nd_write,p,len);
1.74 noro 6187: }
6188:
6189: int nd_recv_int() {
1.157 noro 6190: int a;
1.74 noro 6191:
1.157 noro 6192: read_int(nd_read,&a);
6193: return a;
1.74 noro 6194: }
6195:
6196: void nd_recv_intarray(int *p,int len) {
1.157 noro 6197: read_intarray(nd_read,p,len);
1.74 noro 6198: }
6199:
6200: void nd_send_ndv(NDV p) {
1.157 noro 6201: int len,i;
6202: NMV m;
1.74 noro 6203:
1.157 noro 6204: if ( !p ) nd_send_int(0);
6205: else {
6206: len = LEN(p);
6207: nd_send_int(len);
6208: m = BDY(p);
6209: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
6210: nd_send_int(CM(m));
6211: nd_send_intarray(DL(m),nd_wpd);
6212: }
6213: }
1.74 noro 6214: }
6215:
6216: void nd_send_nd(ND p) {
1.157 noro 6217: int len,i;
6218: NM m;
1.74 noro 6219:
1.157 noro 6220: if ( !p ) nd_send_int(0);
6221: else {
6222: len = LEN(p);
6223: nd_send_int(len);
6224: m = BDY(p);
6225: for ( i = 0; i < len; i++, m = NEXT(m) ) {
6226: nd_send_int(CM(m));
6227: nd_send_intarray(DL(m),nd_wpd);
6228: }
6229: }
1.74 noro 6230: }
1.65 noro 6231:
1.74 noro 6232: NDV nd_recv_ndv()
6233: {
1.157 noro 6234: int len,i;
6235: NMV m,m0;
6236: NDV r;
6237:
6238: len = nd_recv_int();
6239: if ( !len ) return 0;
6240: else {
1.200 ! noro 6241: m0 = m = (NMV)MALLOC_ATOMIC_IGNORE_OFF_PAGE(nmv_adv*len);
1.103 noro 6242: #if 0
1.157 noro 6243: ndv_alloc += len*nmv_adv;
1.103 noro 6244: #endif
1.157 noro 6245: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
6246: CM(m) = nd_recv_int();
6247: nd_recv_intarray(DL(m),nd_wpd);
6248: }
6249: MKNDV(nd_nvar,m0,len,r);
6250: return r;
6251: }
1.74 noro 6252: }
1.65 noro 6253:
1.74 noro 6254: int ox_exec_f4_red(Q proc)
6255: {
1.157 noro 6256: Obj obj;
6257: STRING fname;
6258: NODE arg;
6259: int s;
6260: extern int ox_need_conv,ox_file_io;
6261:
6262: MKSTR(fname,"nd_exec_f4_red");
6263: arg = mknode(2,proc,fname);
6264: Pox_cmo_rpc(arg,&obj);
6265: s = get_ox_server_id(QTOS(proc));
6266: nd_write = iofp[s].out;
6267: nd_read = iofp[s].in;
6268: ox_need_conv = ox_file_io = 0;
6269: return s;
1.74 noro 6270: }
6271:
1.133 noro 6272: NODE nd_f4_red_dist(int m,ND_pairs sp0,UINT *s0vect,int col,NODE rp0,ND_pairs *nz)
1.74 noro 6273: {
1.157 noro 6274: int nsp,nred;
6275: int i,rank,s;
6276: NODE rp,r0,r;
6277: ND_pairs sp;
6278: NM_ind_pair pair;
6279: NMV nmv;
6280: NM nm;
6281: NDV nf;
6282: Obj proc,dmy;
6283:
6284: ox_launch_main(0,0,&proc);
6285: s = ox_exec_f4_red((Q)proc);
6286:
6287: nd_send_int(m);
6288: nd_send_int(nd_nvar);
6289: nd_send_int(nd_bpe);
6290: nd_send_int(nd_wpd);
6291: nd_send_int(nmv_adv);
6292:
6293: saveobj(nd_write,dp_current_spec->obj); fflush(nd_write);
6294:
6295: nd_send_int(nd_psn);
6296: for ( i = 0; i < nd_psn; i++ ) nd_send_ndv(nd_ps[i]);
6297:
6298: for ( sp = sp0, nsp = 0; sp; sp = NEXT(sp), nsp++ );
6299: nd_send_int(nsp);
6300: for ( i = 0, sp = sp0; i < nsp; i++, sp = NEXT(sp) ) {
6301: nd_send_int(sp->i1); nd_send_int(sp->i2);
6302: }
6303:
6304: nd_send_int(col); nd_send_intarray(s0vect,col*nd_wpd);
6305:
6306: nred = length(rp0); nd_send_int(nred);
6307: for ( i = 0, rp = rp0; i < nred; i++, rp = NEXT(rp) ) {
6308: pair = (NM_ind_pair)BDY(rp);
6309: nd_send_int(pair->index);
6310: nd_send_intarray(pair->mul->dl,nd_wpd);
6311: }
6312: fflush(nd_write);
6313: rank = nd_recv_int();
6314: fprintf(asir_out,"rank=%d\n",rank);
6315: r0 = 0;
6316: for ( i = 0; i < rank; i++ ) {
6317: nf = nd_recv_ndv();
6318: NEXTNODE(r0,r); BDY(r) = (pointer)nf;
6319: }
6320: Pox_shutdown(mknode(1,proc),&dmy);
6321: return r0;
1.74 noro 6322: }
6323:
6324: /* server side */
6325:
6326: void nd_exec_f4_red_dist()
6327: {
1.157 noro 6328: int m,i,nsp,col,s0size,nred,spcol,j,k;
6329: NM_ind_pair *rp0;
6330: NDV nf;
6331: UINT *s0vect;
6332: IndArray *imat;
6333: int *rhead;
6334: int **spmat;
6335: UINT *svect,*v;
6336: ND_pairs *sp0;
6337: int *colstat;
6338: int a,sprow,rank;
6339: struct order_spec *ord;
6340: Obj ordspec;
6341: ND spol;
6342: int maxrs;
6343: int *spsugar;
6344:
6345: nd_read = iofp[0].in;
6346: nd_write = iofp[0].out;
6347: m = nd_recv_int();
6348: nd_nvar = nd_recv_int();
6349: nd_bpe = nd_recv_int();
6350: nd_wpd = nd_recv_int();
6351: nmv_adv = nd_recv_int();
6352:
6353: loadobj(nd_read,&ordspec);
6354: create_order_spec(0,ordspec,&ord);
6355: nd_init_ord(ord);
6356: nd_setup_parameters(nd_nvar,0);
6357:
6358: nd_psn = nd_recv_int();
6359: nd_ps = (NDV *)MALLOC(nd_psn*sizeof(NDV));
6360: nd_bound = (UINT **)MALLOC(nd_psn*sizeof(UINT *));
6361: for ( i = 0; i < nd_psn; i++ ) {
6362: nd_ps[i] = nd_recv_ndv();
6363: nd_bound[i] = ndv_compute_bound(nd_ps[i]);
6364: }
6365:
6366: nsp = nd_recv_int();
6367: sp0 = (ND_pairs *)MALLOC(nsp*sizeof(ND_pairs));
6368: for ( i = 0; i < nsp; i++ ) {
6369: NEWND_pairs(sp0[i]);
6370: sp0[i]->i1 = nd_recv_int(); sp0[i]->i2 = nd_recv_int();
6371: ndl_lcm(HDL(nd_ps[sp0[i]->i1]),HDL(nd_ps[sp0[i]->i2]),LCM(sp0[i]));
6372: }
6373:
6374: col = nd_recv_int();
6375: s0size = col*nd_wpd;
6376: s0vect = (UINT *)MALLOC(s0size*sizeof(UINT));
6377: nd_recv_intarray(s0vect,s0size);
6378:
6379: nred = nd_recv_int();
6380: rp0 = (NM_ind_pair *)MALLOC(nred*sizeof(NM_ind_pair));
6381: for ( i = 0; i < nred; i++ ) {
6382: rp0[i] = (NM_ind_pair)MALLOC(sizeof(struct oNM_ind_pair));
6383: rp0[i]->index = nd_recv_int();
6384: rp0[i]->mul = (NM)MALLOC(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
6385: nd_recv_intarray(rp0[i]->mul->dl,nd_wpd);
6386: }
6387:
6388: spcol = col-nred;
6389: imat = (IndArray *)MALLOC(nred*sizeof(IndArray));
6390: rhead = (int *)MALLOC(col*sizeof(int));
6391: for ( i = 0; i < col; i++ ) rhead[i] = 0;
6392:
6393: /* construction of index arrays */
6394: for ( i = 0; i < nred; i++ ) {
6395: imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,rp0[i]);
6396: rhead[imat[i]->head] = 1;
6397: }
6398:
6399: /* elimination (1st step) */
6400: spmat = (int **)MALLOC(nsp*sizeof(UINT *));
6401: svect = (UINT *)MALLOC(col*sizeof(UINT));
6402: spsugar = (int *)ALLOCA(nsp*sizeof(UINT));
6403: for ( a = sprow = 0; a < nsp; a++ ) {
6404: nd_sp(m,0,sp0[a],&spol);
6405: if ( !spol ) continue;
6406: nd_to_vect(m,s0vect,col,spol,svect);
6407: if ( m == -1 )
6408: maxrs = ndv_reduce_vect_sf(m,svect,col,imat,rp0,nred);
6409: else
6410: maxrs = ndv_reduce_vect(m,svect,col,imat,rp0,nred);
6411: for ( i = 0; i < col; i++ ) if ( svect[i] ) break;
6412: if ( i < col ) {
6413: spmat[sprow] = v = (UINT *)MALLOC(spcol*sizeof(UINT));
6414: for ( j = k = 0; j < col; j++ )
6415: if ( !rhead[j] ) v[k++] = svect[j];
6416: spsugar[sprow] = MAX(maxrs,SG(spol));
6417: sprow++;
6418: }
6419: nd_free(spol);
6420: }
6421: /* elimination (2nd step) */
6422: colstat = (int *)ALLOCA(spcol*sizeof(int));
6423: if ( m == -1 )
6424: rank = nd_gauss_elim_sf(spmat,spsugar,sprow,spcol,m,colstat);
6425: else
6426: rank = nd_gauss_elim_mod(spmat,spsugar,0,sprow,spcol,m,colstat);
6427: nd_send_int(rank);
6428: for ( i = 0; i < rank; i++ ) {
6429: nf = vect_to_ndv(spmat[i],spcol,col,rhead,s0vect);
6430: nd_send_ndv(nf);
6431: }
6432: fflush(nd_write);
1.107 noro 6433: }
6434:
1.113 noro 6435: int nd_gauss_elim_q(Q **mat0,int *sugar,int row,int col,int *colstat)
1.107 noro 6436: {
1.176 noro 6437: int i,j,t,c,rank,inv;
1.157 noro 6438: int *ci,*ri;
6439: Q dn;
6440: MAT m,nm;
6441:
6442: NEWMAT(m); m->row = row; m->col = col; m->body = (pointer **)mat0;
6443: rank = generic_gauss_elim(m,&nm,&dn,&ri,&ci);
6444: for ( i = 0; i < row; i++ )
6445: for ( j = 0; j < col; j++ )
6446: mat0[i][j] = 0;
6447: c = col-rank;
6448: for ( i = 0; i < rank; i++ ) {
6449: mat0[i][ri[i]] = dn;
6450: for ( j = 0; j < c; j++ )
6451: mat0[i][ci[j]] = (Q)BDY(nm)[i][j];
6452: }
6453: return rank;
1.76 noro 6454: }
6455:
1.133 noro 6456: int nd_gauss_elim_mod(int **mat0,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat)
1.76 noro 6457: {
1.157 noro 6458: int i,j,k,l,inv,a,rank,s;
6459: unsigned int *t,*pivot,*pk;
6460: unsigned int **mat;
6461: ND_pairs pair;
6462:
6463: mat = (unsigned int **)mat0;
6464: for ( rank = 0, j = 0; j < col; j++ ) {
6465: for ( i = rank; i < row; i++ )
6466: mat[i][j] %= md;
6467: for ( i = rank; i < row; i++ )
6468: if ( mat[i][j] )
6469: break;
6470: if ( i == row ) {
6471: colstat[j] = 0;
6472: continue;
6473: } else
6474: colstat[j] = 1;
6475: if ( i != rank ) {
6476: t = mat[i]; mat[i] = mat[rank]; mat[rank] = t;
6477: s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s;
6478: if ( spactive ) {
6479: pair = spactive[i]; spactive[i] = spactive[rank];
6480: spactive[rank] = pair;
6481: }
6482: }
6483: pivot = mat[rank];
6484: s = sugar[rank];
6485: inv = invm(pivot[j],md);
6486: for ( k = j, pk = pivot+k; k < col; k++, pk++ )
6487: if ( *pk ) {
6488: if ( *pk >= (unsigned int)md )
6489: *pk %= md;
6490: DMAR(*pk,inv,0,md,*pk)
6491: }
6492: for ( i = rank+1; i < row; i++ ) {
6493: t = mat[i];
6494: if ( a = t[j] ) {
6495: sugar[i] = MAX(sugar[i],s);
6496: red_by_vect(md,t+j,pivot+j,md-a,col-j);
6497: }
6498: }
6499: rank++;
6500: }
6501: for ( j = col-1, l = rank-1; j >= 0; j-- )
6502: if ( colstat[j] ) {
6503: pivot = mat[l];
6504: s = sugar[l];
6505: for ( i = 0; i < l; i++ ) {
6506: t = mat[i];
6507: t[j] %= md;
6508: if ( a = t[j] ) {
6509: sugar[i] = MAX(sugar[i],s);
6510: red_by_vect(md,t+j,pivot+j,md-a,col-j);
6511: }
6512: }
6513: l--;
6514: }
6515: for ( j = 0, l = 0; l < rank; j++ )
6516: if ( colstat[j] ) {
6517: t = mat[l];
6518: for ( k = j; k < col; k++ )
6519: if ( t[k] >= (unsigned int)md )
6520: t[k] %= md;
6521: l++;
6522: }
6523: return rank;
1.76 noro 6524: }
6525:
6526: int nd_gauss_elim_sf(int **mat0,int *sugar,int row,int col,int md,int *colstat)
6527: {
1.157 noro 6528: int i,j,k,l,inv,a,rank,s;
6529: unsigned int *t,*pivot,*pk;
6530: unsigned int **mat;
6531:
6532: mat = (unsigned int **)mat0;
6533: for ( rank = 0, j = 0; j < col; j++ ) {
6534: for ( i = rank; i < row; i++ )
6535: if ( mat[i][j] )
6536: break;
6537: if ( i == row ) {
6538: colstat[j] = 0;
6539: continue;
6540: } else
6541: colstat[j] = 1;
6542: if ( i != rank ) {
6543: t = mat[i]; mat[i] = mat[rank]; mat[rank] = t;
6544: s = sugar[i]; sugar[i] = sugar[rank]; sugar[rank] = s;
6545: }
6546: pivot = mat[rank];
6547: s = sugar[rank];
6548: inv = _invsf(pivot[j]);
6549: for ( k = j, pk = pivot+k; k < col; k++, pk++ )
6550: if ( *pk )
6551: *pk = _mulsf(*pk,inv);
6552: for ( i = rank+1; i < row; i++ ) {
6553: t = mat[i];
6554: if ( a = t[j] ) {
6555: sugar[i] = MAX(sugar[i],s);
6556: red_by_vect_sf(md,t+j,pivot+j,_chsgnsf(a),col-j);
6557: }
6558: }
6559: rank++;
6560: }
6561: for ( j = col-1, l = rank-1; j >= 0; j-- )
6562: if ( colstat[j] ) {
6563: pivot = mat[l];
6564: s = sugar[l];
6565: for ( i = 0; i < l; i++ ) {
6566: t = mat[i];
6567: if ( a = t[j] ) {
6568: sugar[i] = MAX(sugar[i],s);
6569: red_by_vect_sf(md,t+j,pivot+j,_chsgnsf(a),col-j);
6570: }
6571: }
6572: l--;
6573: }
6574: return rank;
1.77 noro 6575: }
6576:
6577: int ndv_ishomo(NDV p)
6578: {
1.157 noro 6579: NMV m;
6580: int len,h;
1.77 noro 6581:
1.157 noro 6582: if ( !p ) return 1;
6583: len = LEN(p);
6584: m = BDY(p);
6585: h = TD(DL(m));
6586: NMV_ADV(m);
6587: for ( len--; len; len--, NMV_ADV(m) )
6588: if ( TD(DL(m)) != h ) return 0;
6589: return 1;
1.77 noro 6590: }
6591:
6592: void ndv_save(NDV p,int index)
6593: {
1.157 noro 6594: FILE *s;
6595: char name[BUFSIZ];
6596: short id;
6597: int nv,sugar,len,n,i,td,e,j;
6598: NMV m;
6599: unsigned int *dl;
6600: int mpos;
6601:
6602: sprintf(name,"%s/%d",Demand,index);
6603: s = fopen(name,"w");
6604: savevl(s,0);
6605: if ( !p ) {
6606: saveobj(s,0);
6607: return;
6608: }
6609: id = O_DP;
6610: nv = NV(p);
6611: sugar = SG(p);
6612: len = LEN(p);
6613: write_short(s,&id); write_int(s,&nv); write_int(s,&sugar);
6614: write_int(s,&len);
6615:
6616: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
6617: saveobj(s,(Obj)CQ(m));
6618: dl = DL(m);
6619: td = TD(dl);
6620: write_int(s,&td);
6621: for ( j = 0; j < nv; j++ ) {
6622: e = GET_EXP(dl,j);
6623: write_int(s,&e);
6624: }
6625: if ( nd_module ) {
6626: mpos = MPOS(dl); write_int(s,&mpos);
6627: }
6628: }
6629: fclose(s);
1.77 noro 6630: }
6631:
6632: NDV ndv_load(int index)
6633: {
1.157 noro 6634: FILE *s;
6635: char name[BUFSIZ];
6636: short id;
6637: int nv,sugar,len,n,i,td,e,j;
6638: NDV d;
6639: NMV m0,m;
6640: unsigned int *dl;
6641: Obj obj;
6642: int mpos;
6643:
6644: sprintf(name,"%s/%d",Demand,index);
6645: s = fopen(name,"r");
6646: if ( !s ) return 0;
6647:
6648: skipvl(s);
6649: read_short(s,&id);
6650: if ( !id ) return 0;
6651: read_int(s,&nv);
6652: read_int(s,&sugar);
6653: read_int(s,&len);
6654:
6655: m0 = m = MALLOC(len*nmv_adv);
6656: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
6657: loadobj(s,&obj); CQ(m) = (Q)obj;
6658: dl = DL(m);
6659: ndl_zero(dl);
6660: read_int(s,&td); TD(dl) = td;
6661: for ( j = 0; j < nv; j++ ) {
6662: read_int(s,&e);
6663: PUT_EXP(dl,j,e);
6664: }
6665: if ( nd_module ) {
6666: read_int(s,&mpos); MPOS(dl) = mpos;
6667: }
6668: if ( nd_blockmask ) ndl_weight_mask(dl);
6669: }
6670: fclose(s);
6671: MKNDV(nv,m0,len,d);
6672: SG(d) = sugar;
6673: return d;
1.99 noro 6674: }
6675:
1.102 noro 6676: void nd_det(int mod,MAT f,P *rp)
1.99 noro 6677: {
1.157 noro 6678: VL fv,tv;
6679: int n,i,j,max,e,nvar,sgn,k0,l0,len0,len,k,l,a;
6680: pointer **m;
6681: Q mone;
6682: P **w;
6683: P mp,r;
6684: NDV **dm;
6685: NDV *t,*mi,*mj;
6686: NDV d,s,mij,mjj;
6687: ND u;
6688: NMV nmv;
6689: UINT *bound;
6690: PGeoBucket bucket;
6691: struct order_spec *ord;
6692: Q dq,dt,ds;
6693: N gn,qn,dn0,nm,dn;
6694:
6695: create_order_spec(0,0,&ord);
6696: nd_init_ord(ord);
6697: get_vars((Obj)f,&fv);
6698: if ( f->row != f->col )
6699: error("nd_det : non-square matrix");
6700: n = f->row;
6701: m = f->body;
6702: for ( nvar = 0, tv = fv; tv; tv = NEXT(tv), nvar++ );
6703:
6704: if ( !nvar ) {
6705: if ( !mod )
6706: detp(CO,(P **)m,n,rp);
6707: else {
6708: w = (P **)almat_pointer(n,n);
6709: for ( i = 0; i < n; i++ )
6710: for ( j = 0; j < n; j++ )
6711: ptomp(mod,(P)m[i][j],&w[i][j]);
6712: detmp(CO,mod,w,n,&mp);
6713: mptop(mp,rp);
6714: }
6715: return;
6716: }
6717:
6718: if ( !mod ) {
6719: w = (P **)almat_pointer(n,n);
6720: dq = ONE;
6721: for ( i = 0; i < n; i++ ) {
6722: dn0 = ONEN;
6723: for ( j = 0; j < n; j++ ) {
6724: if ( !m[i][j] ) continue;
6725: lgp(m[i][j],&nm,&dn);
6726: gcdn(dn0,dn,&gn); divsn(dn0,gn,&qn); muln(qn,dn,&dn0);
6727: }
6728: if ( !UNIN(dn0) ) {
6729: NTOQ(dn0,1,ds);
6730: for ( j = 0; j < n; j++ )
6731: mulp(CO,(P)m[i][j],(P)ds,&w[i][j]);
6732: mulq(dq,ds,&dt); dq = dt;
6733: } else
6734: for ( j = 0; j < n; j++ )
6735: w[i][j] = (P)m[i][j];
6736: }
6737: m = (pointer **)w;
6738: }
6739:
1.178 noro 6740: for ( i = 0, max = 1; i < n; i++ )
1.157 noro 6741: for ( j = 0; j < n; j++ )
6742: for ( tv = fv; tv; tv = NEXT(tv) ) {
6743: e = getdeg(tv->v,(P)m[i][j]);
6744: max = MAX(e,max);
6745: }
6746: nd_setup_parameters(nvar,max);
6747: dm = (NDV **)almat_pointer(n,n);
1.178 noro 6748: for ( i = 0, max = 1; i < n; i++ )
1.157 noro 6749: for ( j = 0; j < n; j++ ) {
6750: dm[i][j] = ptondv(CO,fv,m[i][j]);
6751: if ( mod ) ndv_mod(mod,dm[i][j]);
6752: if ( dm[i][j] && !LEN(dm[i][j]) ) dm[i][j] = 0;
6753: }
6754: d = ptondv(CO,fv,(P)ONE);
6755: if ( mod ) ndv_mod(mod,d);
6756: chsgnq(ONE,&mone);
6757: for ( j = 0, sgn = 1; j < n; j++ ) {
6758: if ( DP_Print ) fprintf(stderr,".",j);
6759: for ( i = j; i < n && !dm[i][j]; i++ );
6760: if ( i == n ) {
6761: *rp = 0;
6762: return;
6763: }
6764: k0 = i; l0 = j; len0 = LEN(dm[k0][l0]);
6765: for ( k = j; k < n; k++ )
6766: for ( l = j; l < n; l++ )
6767: if ( dm[k][l] && LEN(dm[k][l]) < len0 ) {
6768: k0 = k; l0 = l; len0 = LEN(dm[k][l]);
6769: }
6770: if ( k0 != j ) {
6771: t = dm[j]; dm[j] = dm[k0]; dm[k0] = t;
6772: sgn = -sgn;
6773: }
6774: if ( l0 != j ) {
6775: for ( k = j; k < n; k++ ) {
6776: s = dm[k][j]; dm[k][j] = dm[k][l0]; dm[k][l0] = s;
6777: }
6778: sgn = -sgn;
6779: }
6780: bound = nd_det_compute_bound(dm,n,j);
6781: for ( k = 0; k < nd_nvar; k++ )
6782: if ( bound[k]*2 > nd_mask0 ) break;
6783: if ( k < nd_nvar )
6784: nd_det_reconstruct(dm,n,j,d);
6785:
6786: for ( i = j+1, mj = dm[j], mjj = mj[j]; i < n; i++ ) {
6787: /* if ( DP_Print ) fprintf(stderr," i=%d\n ",i); */
6788: mi = dm[i]; mij = mi[j];
6789: if ( mod )
6790: ndv_mul_c(mod,mij,mod-1);
6791: else
6792: ndv_mul_c_q(mij,mone);
6793: for ( k = j+1; k < n; k++ ) {
6794: /* if ( DP_Print ) fprintf(stderr,"k=%d ",k); */
6795: bucket = create_pbucket();
6796: if ( mi[k] ) {
6797: nmv = BDY(mjj); len = LEN(mjj);
6798: for ( a = 0; a < len; a++, NMV_ADV(nmv) ) {
6799: u = ndv_mul_nmv_trunc(mod,nmv,mi[k],DL(BDY(d)));
6800: add_pbucket(mod,bucket,u);
6801: }
6802: }
6803: if ( mj[k] && mij ) {
6804: nmv = BDY(mij); len = LEN(mij);
6805: for ( a = 0; a < len; a++, NMV_ADV(nmv) ) {
6806: u = ndv_mul_nmv_trunc(mod,nmv,mj[k],DL(BDY(d)));
6807: add_pbucket(mod,bucket,u);
6808: }
6809: }
6810: u = nd_quo(mod,bucket,d);
6811: mi[k] = ndtondv(mod,u);
6812: }
6813: /* if ( DP_Print ) fprintf(stderr,"\n",k); */
6814: }
6815: d = mjj;
6816: }
6817: if ( DP_Print ) fprintf(stderr,"\n",k);
6818: if ( sgn < 0 )
6819: if ( mod )
6820: ndv_mul_c(mod,d,mod-1);
6821: else
6822: ndv_mul_c_q(d,mone);
6823: r = ndvtop(mod,CO,fv,d);
6824: if ( !mod && !UNIQ(dq) )
6825: divsp(CO,r,(P)dq,rp);
6826: else
6827: *rp = r;
1.99 noro 6828: }
6829:
1.102 noro 6830: ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d)
1.99 noro 6831: {
1.157 noro 6832: NM mr,mr0;
6833: NM tnm;
6834: NMV m;
6835: UINT *d0,*dt,*dm;
6836: int c,n,td,i,c1,c2,len;
6837: Q q;
6838: ND r;
6839:
6840: if ( !p ) return 0;
6841: else {
6842: n = NV(p); m = BDY(p); len = LEN(p);
6843: d0 = DL(m0);
6844: td = TD(d);
6845: mr0 = 0;
6846: NEWNM(tnm);
6847: if ( mod ) {
6848: c = CM(m0);
6849: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
6850: ndl_add(DL(m),d0,DL(tnm));
6851: if ( ndl_reducible(DL(tnm),d) ) {
6852: NEXTNM(mr0,mr);
6853: c1 = CM(m); DMAR(c1,c,0,mod,c2); CM(mr) = c2;
6854: ndl_copy(DL(tnm),DL(mr));
6855: }
6856: }
6857: } else {
6858: q = CQ(m0);
6859: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
6860: ndl_add(DL(m),d0,DL(tnm));
6861: if ( ndl_reducible(DL(tnm),d) ) {
6862: NEXTNM(mr0,mr);
6863: mulq(CQ(m),q,&CQ(mr));
6864: ndl_copy(DL(tnm),DL(mr));
6865: }
6866: }
6867: }
6868: if ( !mr0 )
6869: return 0;
6870: else {
6871: NEXT(mr) = 0;
6872: for ( len = 0, mr = mr0; mr; mr = NEXT(mr), len++ );
6873: MKND(NV(p),mr0,len,r);
6874: SG(r) = SG(p) + TD(d0);
6875: return r;
6876: }
6877: }
1.114 noro 6878: }
6879:
6880: void nd_det_reconstruct(NDV **dm,int n,int j,NDV d)
6881: {
1.157 noro 6882: int i,obpe,oadv,h,k,l;
6883: static NM prev_nm_free_list;
6884: EPOS oepos;
6885:
6886: obpe = nd_bpe;
6887: oadv = nmv_adv;
6888: oepos = nd_epos;
6889: if ( obpe < 2 ) nd_bpe = 2;
6890: else if ( obpe < 3 ) nd_bpe = 3;
6891: else if ( obpe < 4 ) nd_bpe = 4;
6892: else if ( obpe < 5 ) nd_bpe = 5;
6893: else if ( obpe < 6 ) nd_bpe = 6;
6894: else if ( obpe < 8 ) nd_bpe = 8;
6895: else if ( obpe < 10 ) nd_bpe = 10;
6896: else if ( obpe < 16 ) nd_bpe = 16;
6897: else if ( obpe < 32 ) nd_bpe = 32;
6898: else error("nd_det_reconstruct : exponent too large");
6899:
6900: nd_setup_parameters(nd_nvar,0);
6901: prev_nm_free_list = _nm_free_list;
6902: _nm_free_list = 0;
6903: for ( k = j; k < n; k++ )
6904: for (l = j; l < n; l++ )
6905: ndv_realloc(dm[k][l],obpe,oadv,oepos);
6906: ndv_realloc(d,obpe,oadv,oepos);
6907: prev_nm_free_list = 0;
1.114 noro 6908: #if 0
1.157 noro 6909: GC_gcollect();
1.114 noro 6910: #endif
6911: }
6912:
1.153 noro 6913: /* returns a UINT array containing degree bounds */
6914:
1.114 noro 6915: UINT *nd_det_compute_bound(NDV **dm,int n,int j)
6916: {
1.157 noro 6917: UINT *d0,*d1,*d,*t,*r;
6918: int k,l,i;
1.114 noro 6919:
1.157 noro 6920: d0 = (UINT *)MALLOC(nd_nvar*sizeof(UINT));
6921: for ( k = 0; k < nd_nvar; k++ ) d0[k] = 0;
6922: for ( k = j; k < n; k++ )
6923: for ( l = j; l < n; l++ )
6924: if ( dm[k][l] ) {
6925: d = ndv_compute_bound(dm[k][l]);
6926: for ( i = 0; i < nd_nvar; i++ )
6927: d0[i] = MAX(d0[i],d[i]);
6928: }
6929: return d0;
1.117 noro 6930: }
6931:
6932: DL nd_separate_d(UINT *d,UINT *trans)
6933: {
1.157 noro 6934: int n,td,i,e,j;
6935: DL a;
1.117 noro 6936:
1.157 noro 6937: ndl_zero(trans);
6938: td = 0;
6939: for ( i = 0; i < nd_ntrans; i++ ) {
6940: e = GET_EXP(d,i);
6941: PUT_EXP(trans,i,e);
6942: td += MUL_WEIGHT(e,i);
6943: }
6944: if ( nd_ntrans+nd_nalg < nd_nvar ) {
6945: /* homogenized */
6946: i = nd_nvar-1;
6947: e = GET_EXP(d,i);
6948: PUT_EXP(trans,i,e);
6949: td += MUL_WEIGHT(e,i);
6950: }
6951: TD(trans) = td;
6952: if ( nd_blockmask) ndl_weight_mask(trans);
6953: NEWDL(a,nd_nalg);
6954: td = 0;
6955: for ( i = 0; i < nd_nalg; i++ ) {
6956: j = nd_ntrans+i;
6957: e = GET_EXP(d,j);
6958: a->d[i] = e;
6959: td += e;
6960: }
6961: a->td = td;
6962: return a;
1.117 noro 6963: }
6964:
1.118 noro 6965: int nd_monic(int mod,ND *p)
1.117 noro 6966: {
1.157 noro 6967: UINT *trans,*t;
6968: DL alg;
6969: MP mp0,mp;
6970: NM m,m0,m1,ma0,ma,mb,mr0,mr;
6971: ND r;
6972: DL dl;
6973: DP nm;
6974: NDV ndv;
6975: DAlg inv,cd;
6976: ND s,c;
6977: Q l,mul;
6978: N ln;
6979: int n,ntrans,i,e,td,is_lc,len;
6980: NumberField nf;
6981: struct oEGT eg0,eg1;
6982:
6983: if ( !(nf = get_numberfield()) )
6984: error("nd_monic : current_numberfield is not set");
6985:
6986: /* Q coef -> DAlg coef */
6987: NEWNM(ma0); ma = ma0;
6988: m = BDY(*p);
6989: is_lc = 1;
6990: while ( 1 ) {
6991: NEWMP(mp0); mp = mp0;
6992: mp->c = (P)CQ(m);
6993: mp->dl = nd_separate_d(DL(m),DL(ma));
6994: NEWNM(mb);
6995: for ( m = NEXT(m); m; m = NEXT(m) ) {
6996: alg = nd_separate_d(DL(m),DL(mb));
6997: if ( !ndl_equal(DL(ma),DL(mb)) )
6998: break;
6999: NEXTMP(mp0,mp); mp->c = (P)CQ(m); mp->dl = alg;
7000: }
7001: NEXT(mp) = 0;
7002: MKDP(nd_nalg,mp0,nm);
7003: MKDAlg(nm,ONE,cd);
7004: if ( is_lc == 1 ) {
7005: /* if the lc is a rational number, we have nothing to do */
7006: if ( !mp0->dl->td )
7007: return 1;
7008:
7009: get_eg(&eg0);
7010: invdalg(cd,&inv);
7011: get_eg(&eg1); add_eg(&eg_invdalg,&eg0,&eg1);
7012: /* check the validity of inv */
7013: if ( mod && !rem(NM(inv->dn),mod) )
7014: return 0;
7015: CA(ma) = nf->one;
7016: is_lc = 0;
7017: ln = ONEN;
7018: } else {
7019: muldalg(cd,inv,&CA(ma));
7020: lcmn(ln,NM(CA(ma)->dn),&ln);
7021: }
7022: if ( m ) {
7023: NEXT(ma) = mb; ma = mb;
7024: } else {
7025: NEXT(ma) = 0;
7026: break;
7027: }
7028: }
7029: /* l = lcm(denoms) */
7030: NTOQ(ln,1,l);
7031: for ( mr0 = 0, m = ma0; m; m = NEXT(m) ) {
7032: divq(l,CA(m)->dn,&mul);
7033: for ( mp = BDY(CA(m)->nm); mp; mp = NEXT(mp) ) {
7034: NEXTNM(mr0,mr);
7035: mulq((Q)mp->c,mul,&CQ(mr));
7036: dl = mp->dl;
7037: td = TD(DL(m));
7038: ndl_copy(DL(m),DL(mr));
7039: for ( i = 0; i < nd_nalg; i++ ) {
7040: e = dl->d[i];
7041: PUT_EXP(DL(mr),i+nd_ntrans,e);
7042: td += MUL_WEIGHT(e,i+nd_ntrans);
7043: }
1.163 noro 7044: if ( nd_module ) MPOS(DL(mr)) = MPOS(DL(m));
1.157 noro 7045: TD(DL(mr)) = td;
7046: if ( nd_blockmask) ndl_weight_mask(DL(mr));
7047: }
7048: }
7049: NEXT(mr) = 0;
7050: for ( len = 0, mr = mr0; mr; mr = NEXT(mr), len++ );
7051: MKND(NV(*p),mr0,len,r);
7052: /* XXX */
7053: SG(r) = SG(*p);
7054: nd_free(*p);
7055: *p = r;
7056: return 1;
1.59 noro 7057: }
1.167 noro 7058:
7059: NODE reverse_node(NODE n)
7060: {
7061: NODE t,t1;
7062:
7063: for ( t = 0; n; n = NEXT(n) ) {
7064: MKNODE(t1,BDY(n),t); t = t1;
7065: }
7066: return t;
7067: }
7068:
7069: P ndc_div(int mod,union oNDC a,union oNDC b)
7070: {
7071: union oNDC c;
7072: int inv,t;
7073:
7074: if ( mod == -1 ) c.m = _mulsf(a.m,_invsf(b.m));
7075: else if ( mod ) {
7076: inv = invm(b.m,mod);
7077: DMAR(a.m,inv,0,mod,t); c.m = t;
7078: } else if ( nd_vc )
7079: divsp(nd_vc,a.p,b.p,&c.p);
7080: else
7081: divq(a.z,b.z,&c.z);
7082: return ndctop(mod,c);
7083: }
7084:
7085: P ndctop(int mod,union oNDC c)
7086: {
7087: Q q;
7088: int e;
7089: GFS gfs;
7090:
7091: if ( mod == -1 ) {
7092: e = IFTOF(c.m); MKGFS(e,gfs); return (P)gfs;
7093: } else if ( mod ) {
7094: STOQ(c.m,q); return (P)q;
7095: } else
7096: return (P)c.p;
7097: }
7098:
7099: /* [0,0,0,cont] = p -> p/cont */
7100:
7101: void finalize_tracelist(int i,P cont)
7102: {
7103: LIST l;
7104: NODE node;
7105: Q iq;
7106:
7107: if ( !UNIQ(cont) ) {
1.196 noro 7108: node = mknode(4,NULLP,NULLP,NULLP,cont);
1.167 noro 7109: MKLIST(l,node); MKNODE(node,l,nd_tracelist);
7110: nd_tracelist = node;
7111: }
7112: STOQ(i,iq);
7113: nd_tracelist = reverse_node(nd_tracelist);
7114: MKLIST(l,nd_tracelist);
7115: node = mknode(2,iq,l); MKLIST(l,node);
7116: MKNODE(node,l,nd_alltracelist); MKLIST(l,node);
7117: nd_alltracelist = node; nd_tracelist = 0;
7118: }
7119:
7120: void conv_ilist(int demand,int trace,NODE g,int **indp)
7121: {
7122: int n,i,j;
7123: int *ind;
7124: NODE t;
7125:
7126: n = length(g);
7127: ind = (int *)MALLOC(n*sizeof(int));
7128: for ( i = 0, t = g; i < n; i++, t = NEXT(t) ) {
7129: j = (long)BDY(t); ind[i] = j;
7130: BDY(t) = (pointer)(demand?ndv_load(j):(trace?nd_ps_trace[j]:nd_ps[j]));
7131: }
7132: if ( indp ) *indp = ind;
7133: }
1.172 noro 7134:
7135: void parse_nd_option(NODE opt)
7136: {
1.187 noro 7137: NODE t,p,u;
7138: int i,s;
1.172 noro 7139: char *key;
7140: Obj value;
7141:
1.187 noro 7142: nd_gentrace = 0; nd_gensyz = 0; nd_nora = 0; nd_gbblock = 0;
1.195 noro 7143: nd_newelim = 0; nd_intersect = 0;
1.172 noro 7144: for ( t = opt; t; t = NEXT(t) ) {
7145: p = BDY((LIST)BDY(t));
7146: key = BDY((STRING)BDY(p));
7147: value = (Obj)BDY(NEXT(p));
7148: if ( !strcmp(key,"gentrace") )
7149: nd_gentrace = value?1:0;
7150: else if ( !strcmp(key,"gensyz") )
7151: nd_gensyz = value?1:0;
1.173 noro 7152: else if ( !strcmp(key,"nora") )
7153: nd_nora = value?1:0;
1.187 noro 7154: else if ( !strcmp(key,"gbblock") ) {
7155: if ( !value || OID(value) != O_LIST )
7156: error("nd_* : invalid value for gbblock option");
7157: u = BDY((LIST)value);
1.189 noro 7158: nd_gbblock = MALLOC((2*length(u)+1)*sizeof(int));
1.187 noro 7159: for ( i = 0; u; u = NEXT(u) ) {
7160: p = BDY((LIST)BDY(u));
7161: s = nd_gbblock[i++] = QTOS((Q)BDY(p));
7162: nd_gbblock[i++] = s+QTOS((Q)BDY(NEXT(p)))-1;
7163: }
7164: nd_gbblock[i] = -1;
1.192 noro 7165: } else if ( !strcmp(key,"newelim") )
7166: nd_newelim = value?1:0;
1.195 noro 7167: else if ( !strcmp(key,"intersect") )
7168: nd_intersect = value?1:0;
1.172 noro 7169: }
7170: }
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