Annotation of OpenXM_contrib2/asir2000/engine/nd.c, Revision 1.73
1.73 ! noro 1: /* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.c,v 1.72 2003/09/17 08:14:26 noro Exp $ */
1.2 noro 2:
1.1 noro 3: #include "ca.h"
4: #include "inline.h"
1.64 noro 5: #include <time.h>
1.1 noro 6:
7: #if defined(__GNUC__)
8: #define INLINE inline
9: #elif defined(VISUAL)
10: #define INLINE __inline
11: #else
12: #define INLINE
13: #endif
14:
1.61 noro 15: typedef unsigned int UINT;
16:
1.47 noro 17: #define USE_GEOBUCKET 1
1.65 noro 18: #define USE_UNROLL 1
1.28 noro 19:
1.1 noro 20: #define REDTAB_LEN 32003
21:
1.40 noro 22: /* GeoBucket for polynomial addition */
23:
1.1 noro 24: typedef struct oPGeoBucket {
25: int m;
26: struct oND *body[32];
27: } *PGeoBucket;
28:
1.40 noro 29: /* distributed polynomial; linked list rep. */
1.1 noro 30: typedef struct oND {
31: struct oNM *body;
32: int nv;
1.31 noro 33: int len;
1.1 noro 34: int sugar;
35: } *ND;
36:
1.40 noro 37: /* distributed polynomial; array rep. */
1.3 noro 38: typedef struct oNDV {
39: struct oNMV *body;
40: int nv;
1.31 noro 41: int len;
1.3 noro 42: int sugar;
43: } *NDV;
44:
1.69 noro 45: typedef union oNDC {
46: int m;
47: Q z;
48: P p;
49: } *NDC;
50:
1.40 noro 51: /* monomial; linked list rep. */
1.1 noro 52: typedef struct oNM {
53: struct oNM *next;
1.69 noro 54: union oNDC c;
1.61 noro 55: UINT dl[1];
1.1 noro 56: } *NM;
57:
1.40 noro 58: /* monomial; array rep. */
1.3 noro 59: typedef struct oNMV {
1.69 noro 60: union oNDC c;
1.61 noro 61: UINT dl[1];
1.3 noro 62: } *NMV;
63:
1.40 noro 64: /* history of reducer */
1.13 noro 65: typedef struct oRHist {
66: struct oRHist *next;
67: int index;
1.34 noro 68: int sugar;
1.61 noro 69: UINT dl[1];
1.13 noro 70: } *RHist;
71:
1.40 noro 72: /* S-pair list */
1.1 noro 73: typedef struct oND_pairs {
74: struct oND_pairs *next;
75: int i1,i2;
1.34 noro 76: int sugar;
1.61 noro 77: UINT lcm[1];
1.1 noro 78: } *ND_pairs;
79:
1.42 noro 80: /* index and shift count for each exponent */
81: typedef struct oEPOS {
82: int i; /* index */
83: int s; /* shift */
84: } *EPOS;
85:
1.43 noro 86: typedef struct oBlockMask {
87: int n;
88: struct order_pair *order_pair;
1.61 noro 89: UINT **mask;
1.43 noro 90: } *BlockMask;
91:
1.45 noro 92: typedef struct oBaseSet {
93: int len;
94: NDV *ps;
1.61 noro 95: UINT **bound;
1.45 noro 96: } *BaseSet;
97:
1.63 noro 98: typedef struct oNM_ind_pair
99: {
100: NM mul;
101: int index;
102: } *NM_ind_pair;
103:
1.67 noro 104: typedef struct oIndArray
105: {
106: char width;
107: int head;
108: union {
109: unsigned char *c;
110: unsigned short *s;
111: unsigned int *i;
112: } index;
113: } *IndArray;
1.63 noro 114:
1.61 noro 115: int (*ndl_compare_function)(UINT *a1,UINT *a2);
1.32 noro 116:
1.69 noro 117: static int nd_f4_nsp=0x7fffffff;
1.42 noro 118: static double nd_scale=2;
1.61 noro 119: static UINT **nd_bound;
1.42 noro 120: static struct order_spec *nd_ord;
121: static EPOS nd_epos;
1.43 noro 122: static BlockMask nd_blockmask;
1.42 noro 123: static int nd_nvar;
124: static int nd_isrlex;
125: static int nd_epw,nd_bpe,nd_wpd,nd_exporigin;
1.61 noro 126: static UINT nd_mask[32];
127: static UINT nd_mask0,nd_mask1;
1.42 noro 128:
129: static NM _nm_free_list;
130: static ND _nd_free_list;
131: static ND_pairs _ndp_free_list;
1.20 noro 132:
133: static NDV *nd_ps;
1.53 noro 134: static NDV *nd_ps_trace;
1.42 noro 135: static RHist *nd_psh;
136: static int nd_psn,nd_pslen;
1.20 noro 137:
1.42 noro 138: static RHist *nd_red;
1.1 noro 139:
1.42 noro 140: static int nd_found,nd_create,nd_notfirst;
141: static int nm_adv;
142: static int nmv_adv;
143: static int nd_dcomp;
1.1 noro 144:
1.61 noro 145: extern VL CO;
1.71 noro 146: extern int Top,Reverse,DP_Print,dp_nelim,do_weyl;
1.58 noro 147: extern int *current_weyl_weight_vector;
1.1 noro 148:
1.40 noro 149: /* fundamental macros */
1.34 noro 150: #define TD(d) (d[0])
1.1 noro 151: #define HDL(d) ((d)->body->dl)
1.34 noro 152: #define HTD(d) (TD(HDL(d)))
1.14 noro 153: #define HCM(d) ((d)->body->c.m)
1.16 noro 154: #define HCQ(d) ((d)->body->c.z)
1.61 noro 155: #define HCP(d) ((d)->body->c.p)
1.14 noro 156: #define CM(a) ((a)->c.m)
1.16 noro 157: #define CQ(a) ((a)->c.z)
1.61 noro 158: #define CP(a) ((a)->c.p)
1.14 noro 159: #define DL(a) ((a)->dl)
160: #define SG(a) ((a)->sugar)
161: #define LEN(a) ((a)->len)
1.33 noro 162: #define LCM(a) ((a)->lcm)
1.42 noro 163: #define GET_EXP(d,a) (((d)[nd_epos[a].i]>>nd_epos[a].s)&nd_mask0)
1.60 noro 164: #define GET_EXP_MASK(d,a,m) ((((d)[nd_epos[a].i]&(m)[nd_epos[a].i])>>nd_epos[a].s)&nd_mask0)
1.42 noro 165: #define PUT_EXP(r,a,e) ((r)[nd_epos[a].i] |= ((e)<<nd_epos[a].s))
1.45 noro 166: #define XOR_EXP(r,a,e) ((r)[nd_epos[a].i] ^= ((e)<<nd_epos[a].s))
1.1 noro 167:
1.61 noro 168: #define GET_EXP_OLD(d,a) (((d)[oepos[a].i]>>oepos[a].s)&omask0)
169: #define PUT_EXP_OLD(r,a,e) ((r)[oepos[a].i] |= ((e)<<oepos[a].s))
170:
1.40 noro 171: /* macros for term comparison */
1.34 noro 172: #define TD_DL_COMPARE(d1,d2)\
1.41 noro 173: (TD(d1)>TD(d2)?1:(TD(d1)<TD(d2)?-1:ndl_lex_compare(d1,d2)))
1.43 noro 174: #if 0
1.34 noro 175: #define DL_COMPARE(d1,d2)\
1.43 noro 176: (nd_dcomp>0?TD_DL_COMPARE(d1,d2)\
177: :(nd_dcomp==0?ndl_lex_compare(d1,d2)\
178: :(nd_blockmask?ndl_block_compare(d1,d2)\
1.45 noro 179: :(*ndl_compare_function)(d1,d2))))
1.43 noro 180: #else
181: #define DL_COMPARE(d1,d2)\
1.45 noro 182: (nd_dcomp>0?TD_DL_COMPARE(d1,d2):(*ndl_compare_function)(d1,d2))
1.43 noro 183: #endif
1.34 noro 184:
1.40 noro 185: /* allocators */
1.15 noro 186: #define NEWRHist(r) \
1.61 noro 187: ((r)=(RHist)MALLOC(sizeof(struct oRHist)+(nd_wpd-1)*sizeof(UINT)))
1.34 noro 188: #define NEWND_pairs(m) \
189: if(!_ndp_free_list)_NDP_alloc();\
190: (m)=_ndp_free_list; _ndp_free_list = NEXT(_ndp_free_list)
191: #define NEWNM(m)\
192: if(!_nm_free_list)_NM_alloc();\
193: (m)=_nm_free_list; _nm_free_list = NEXT(_nm_free_list)
194: #define MKND(n,m,len,d)\
195: if(!_nd_free_list)_ND_alloc();\
196: (d)=_nd_free_list; _nd_free_list = (ND)BDY(_nd_free_list);\
197: NV(d)=(n); LEN(d)=(len); BDY(d)=(m)
1.40 noro 198: #define NEWNDV(d) ((d)=(NDV)MALLOC(sizeof(struct oNDV)))
199: #define MKNDV(n,m,l,d) NEWNDV(d); NV(d)=(n); BDY(d)=(m); LEN(d) = l;
1.63 noro 200: #define NEWNM_ind_pair(p)\
201: ((p)=(NM_ind_pair)MALLOC(sizeof(struct oNM_ind_pair)))
1.1 noro 202:
1.40 noro 203: /* allocate and link a new object */
1.13 noro 204: #define NEXTRHist(r,c) \
205: if(!(r)){NEWRHist(r);(c)=(r);}else{NEWRHist(NEXT(c));(c)=NEXT(c);}
1.1 noro 206: #define NEXTNM(r,c) \
207: if(!(r)){NEWNM(r);(c)=(r);}else{NEWNM(NEXT(c));(c)=NEXT(c);}
208: #define NEXTNM2(r,c,s) \
209: if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
1.40 noro 210: #define NEXTND_pairs(r,c) \
211: if(!(r)){NEWND_pairs(r);(c)=(r);}else{NEWND_pairs(NEXT(c));(c)=NEXT(c);}
1.63 noro 212: #define MKNM_ind_pair(p,m,i) (NEWNM_ind_pair(p),(p)->mul=(m),(p)->index=(i))
1.34 noro 213:
1.40 noro 214: /* deallocators */
1.1 noro 215: #define FREENM(m) NEXT(m)=_nm_free_list; _nm_free_list=(m)
216: #define FREENDP(m) NEXT(m)=_ndp_free_list; _ndp_free_list=(m)
217: #define FREEND(m) BDY(m)=(NM)_nd_free_list; _nd_free_list=(m)
218:
1.40 noro 219: /* macro for increasing pointer to NMV */
220: #define NMV_ADV(m) (m = (NMV)(((char *)m)+nmv_adv))
1.61 noro 221: #define NMV_OADV(m) (m = (NMV)(((char *)m)+oadv))
222: #define NDV_NADV(m) (m = (NMV)(((char *)m)+newadv))
1.56 noro 223: #define NMV_PREV(m) (m = (NMV)(((char *)m)-nmv_adv))
1.61 noro 224: #define NMV_OPREV(m) (m = (NMV)(((char *)m)-oadv))
225:
1.40 noro 226: /* external functions */
1.71 noro 227: #if 1
1.40 noro 228: void GC_gcollect();
1.71 noro 229: #endif
1.40 noro 230: NODE append_one(NODE,int);
1.1 noro 231:
1.40 noro 232: /* manipulation of coefficients */
1.20 noro 233: void nd_removecont(int mod,ND p);
1.21 noro 234: void nd_removecont2(ND p1,ND p2);
1.40 noro 235: void removecont_array(Q *c,int n);
236:
237: /* GeoBucket functions */
1.25 noro 238: ND normalize_pbucket(int mod,PGeoBucket g);
239: int head_pbucket(int mod,PGeoBucket g);
1.26 noro 240: int head_pbucket_q(PGeoBucket g);
1.63 noro 241: void add_pbucket_symbolic(PGeoBucket g,ND d);
1.31 noro 242: void add_pbucket(int mod,PGeoBucket g,ND d);
1.25 noro 243: void free_pbucket(PGeoBucket b);
1.26 noro 244: void mulq_pbucket(PGeoBucket g,Q c);
1.63 noro 245: NM remove_head_pbucket_symbolic(PGeoBucket g);
1.25 noro 246: PGeoBucket create_pbucket();
1.20 noro 247:
1.40 noro 248: /* manipulation of pairs and bases */
1.39 noro 249: int nd_newps(int mod,ND a,ND aq);
1.40 noro 250: ND_pairs nd_newpairs( NODE g, int t );
1.1 noro 251: ND_pairs nd_minp( ND_pairs d, ND_pairs *prest );
1.63 noro 252: ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest );
1.1 noro 253: NODE update_base(NODE nd,int ndp);
1.40 noro 254: ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t);
255: ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest );
256: ND_pairs crit_B( ND_pairs d, int s );
257: ND_pairs crit_M( ND_pairs d1 );
258: ND_pairs crit_F( ND_pairs d1 );
1.1 noro 259: int crit_2( int dp1, int dp2 );
1.63 noro 260: int ndv_newps(NDV a,NDV aq);
1.40 noro 261:
262: /* top level functions */
1.63 noro 263: void nd_gr(LIST f,LIST v,int m,int f4,struct order_spec *ord,LIST *rp);
1.52 noro 264: void nd_gr_trace(LIST f,LIST v,int trace,int homo,struct order_spec *ord,LIST *rp);
1.63 noro 265: NODE nd_f4(int m);
1.27 noro 266: NODE nd_gb(int m,int checkonly);
1.23 noro 267: NODE nd_gb_trace(int m);
1.40 noro 268:
269: /* ndl functions */
1.61 noro 270: int ndl_weight(UINT *d);
271: void ndl_weight_mask(UINT *d);
272: void ndl_homogenize(UINT *d,UINT *r,int obpe,EPOS oepos,int weight);
273: void ndl_dehomogenize(UINT *p);
274: void ndl_reconstruct(UINT *d,UINT *r,int obpe,EPOS oepos);
275: INLINE int ndl_reducible(UINT *d1,UINT *d2);
276: INLINE int ndl_lex_compare(UINT *d1,UINT *d2);
277: INLINE int ndl_block_compare(UINT *d1,UINT *d2);
278: INLINE int ndl_equal(UINT *d1,UINT *d2);
279: INLINE void ndl_copy(UINT *d1,UINT *d2);
280: INLINE void ndl_zero(UINT *d);
281: INLINE void ndl_add(UINT *d1,UINT *d2,UINT *d);
282: INLINE void ndl_addto(UINT *d1,UINT *d2);
283: INLINE void ndl_sub(UINT *d1,UINT *d2,UINT *d);
284: INLINE int ndl_hash_value(UINT *d);
1.45 noro 285:
286: /* normal forms */
1.63 noro 287: INLINE int ndl_find_reducer(UINT *g);
1.53 noro 288: int nd_sp(int mod,int trace,ND_pairs p,ND *nf);
1.69 noro 289: int nd_nf(int mod,ND g,NDV *ps,int full,NDC dn,ND *nf);
1.53 noro 290: int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *nf);
1.40 noro 291:
292: /* finalizers */
1.61 noro 293: NODE ndv_reducebase(NODE x);
294: NODE ndv_reduceall(int m,NODE f);
1.40 noro 295:
296: /* allocators */
297: void nd_free_private_storage();
298: void _NM_alloc();
299: void _ND_alloc();
1.1 noro 300: void nd_free(ND p);
1.40 noro 301: void nd_free_redlist();
302:
303: /* printing */
1.61 noro 304: void ndl_print(UINT *dl);
1.1 noro 305: void nd_print(ND p);
1.16 noro 306: void nd_print_q(ND p);
1.1 noro 307: void ndp_print(ND_pairs d);
1.40 noro 308:
309:
310: /* setup, reconstruct */
311: void nd_init_ord(struct order_spec *spec);
312: ND_pairs nd_reconstruct(int mod,int trace,ND_pairs ndp);
1.61 noro 313: void ndv_setup(int mod,int trace,NODE f);
314: void nd_setup_parameters(int nvar,int max);
1.43 noro 315: BlockMask nd_create_blockmask(struct order_spec *ord);
1.57 noro 316: EPOS nd_create_epos(struct order_spec *ord);
1.48 noro 317: int nd_get_exporigin(struct order_spec *ord);
1.61 noro 318: void ndv_mod(int mod,NDV p);
319: NDV ndv_dup(int mod,NDV p);
1.63 noro 320: ND nd_dup(ND p);
1.40 noro 321:
322: /* ND functions */
1.61 noro 323: int ndv_check_candidate(NODE input,int obpe,int oadv,EPOS oepos,NODE cand);
1.40 noro 324: void nd_mul_c(int mod,ND p,int mul);
325: void nd_mul_c_q(ND p,Q mul);
1.61 noro 326: void nd_mul_c_p(VL vl,ND p,P mul);
1.40 noro 327: ND nd_remove_head(ND p);
1.69 noro 328: ND nd_separate_head(ND p,ND *head);
1.1 noro 329: int nd_length(ND p);
1.61 noro 330: void nd_append_red(UINT *d,int i);
331: UINT *ndv_compute_bound(NDV p);
1.6 noro 332: ND nd_copy(ND p);
1.63 noro 333: ND nd_merge(ND p1,ND p2);
1.40 noro 334: ND nd_add(int mod,ND p1,ND p2);
335: ND nd_add_q(ND p1,ND p2);
1.71 noro 336: ND nd_add_sf(ND p1,ND p2);
1.41 noro 337: INLINE int nd_length(ND p);
1.4 noro 338:
1.40 noro 339: /* NDV functions */
1.55 noro 340: ND weyl_ndv_mul_nm(int mod,NM m0,NDV p);
341: void weyl_mul_nm_nmv(int n,int mod,NM m0,NMV m1,NM *tab,int tlen);
1.19 noro 342: void ndv_mul_c(int mod,NDV p,int mul);
1.40 noro 343: void ndv_mul_c_q(NDV p,Q mul);
1.63 noro 344: ND ndv_mul_nm_symbolic(NM m0,NDV p);
1.61 noro 345: ND ndv_mul_nm(int mod,NM m0,NDV p);
1.43 noro 346: void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos);
1.61 noro 347: NDV ndv_dup_realloc(NDV p,int obpe,int oadv,EPOS oepos);
348: void ndv_homogenize(NDV p,int obpe,int oadv,EPOS eops);
1.45 noro 349: void ndv_dehomogenize(NDV p,struct order_spec *spec);
1.40 noro 350: void ndv_removecont(int mod,NDV p);
351: void ndv_print(NDV p);
352: void ndv_print_q(NDV p);
353: void ndv_free(NDV p);
354:
355: /* converters */
1.61 noro 356: ND ptond(VL vl,VL dvl,P p);
357: NDV ptondv(VL vl,VL dvl,P p);
358: P ndvtop(int mod,VL vl,VL dvl,NDV p);
1.16 noro 359: NDV ndtondv(int mod,ND p);
1.23 noro 360: ND ndvtond(int mod,NDV p);
1.63 noro 361: int nm_ind_pair_to_vect(int m,UINT *s0,int n,NM_ind_pair pair,UINT *r);
1.67 noro 362: IndArray nm_ind_pair_to_vect_compress(int m,UINT *s0,int n,NM_ind_pair pair);
1.63 noro 363: int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r);
1.1 noro 364:
365: void nd_free_private_storage()
366: {
367: _nm_free_list = 0;
1.5 noro 368: _ndp_free_list = 0;
1.71 noro 369: #if 0
1.1 noro 370: GC_gcollect();
1.71 noro 371: #endif
1.1 noro 372: }
373:
374: void _NM_alloc()
375: {
376: NM p;
377: int i;
378:
1.11 noro 379: for ( i = 0; i < 1024; i++ ) {
1.61 noro 380: p = (NM)GC_malloc(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
1.1 noro 381: p->next = _nm_free_list; _nm_free_list = p;
382: }
383: }
384:
385: void _ND_alloc()
386: {
387: ND p;
388: int i;
389:
390: for ( i = 0; i < 1024; i++ ) {
391: p = (ND)GC_malloc(sizeof(struct oND));
392: p->body = (NM)_nd_free_list; _nd_free_list = p;
393: }
394: }
395:
396: void _NDP_alloc()
397: {
398: ND_pairs p;
399: int i;
400:
1.11 noro 401: for ( i = 0; i < 1024; i++ ) {
1.1 noro 402: p = (ND_pairs)GC_malloc(sizeof(struct oND_pairs)
1.61 noro 403: +(nd_wpd-1)*sizeof(UINT));
1.1 noro 404: p->next = _ndp_free_list; _ndp_free_list = p;
405: }
406: }
407:
1.30 noro 408: INLINE int nd_length(ND p)
1.1 noro 409: {
410: NM m;
411: int i;
412:
413: if ( !p )
414: return 0;
415: else {
416: for ( i = 0, m = BDY(p); m; m = NEXT(m), i++ );
417: return i;
418: }
419: }
420:
1.61 noro 421: INLINE int ndl_reducible(UINT *d1,UINT *d2)
1.1 noro 422: {
1.61 noro 423: UINT u1,u2;
1.1 noro 424: int i,j;
425:
1.34 noro 426: if ( TD(d1) < TD(d2) ) return 0;
1.65 noro 427: #if USE_UNROLL
1.1 noro 428: switch ( nd_bpe ) {
1.62 noro 429: case 3:
430: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
431: u1 = d1[i]; u2 = d2[i];
432: if ( (u1&0x38000000) < (u2&0x38000000) ) return 0;
433: if ( (u1& 0x7000000) < (u2& 0x7000000) ) return 0;
434: if ( (u1& 0xe00000) < (u2& 0xe00000) ) return 0;
435: if ( (u1& 0x1c0000) < (u2& 0x1c0000) ) return 0;
436: if ( (u1& 0x38000) < (u2& 0x38000) ) return 0;
437: if ( (u1& 0x7000) < (u2& 0x7000) ) return 0;
438: if ( (u1& 0xe00) < (u2& 0xe00) ) return 0;
439: if ( (u1& 0x1c0) < (u2& 0x1c0) ) return 0;
440: if ( (u1& 0x38) < (u2& 0x38) ) return 0;
441: if ( (u1& 0x7) < (u2& 0x7) ) return 0;
442: }
443: return 1;
444: break;
1.1 noro 445: case 4:
1.41 noro 446: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 447: u1 = d1[i]; u2 = d2[i];
448: if ( (u1&0xf0000000) < (u2&0xf0000000) ) return 0;
1.62 noro 449: if ( (u1& 0xf000000) < (u2& 0xf000000) ) return 0;
450: if ( (u1& 0xf00000) < (u2& 0xf00000) ) return 0;
451: if ( (u1& 0xf0000) < (u2& 0xf0000) ) return 0;
452: if ( (u1& 0xf000) < (u2& 0xf000) ) return 0;
453: if ( (u1& 0xf00) < (u2& 0xf00) ) return 0;
454: if ( (u1& 0xf0) < (u2& 0xf0) ) return 0;
455: if ( (u1& 0xf) < (u2& 0xf) ) return 0;
1.1 noro 456: }
457: return 1;
458: break;
459: case 6:
1.41 noro 460: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 461: u1 = d1[i]; u2 = d2[i];
462: if ( (u1&0x3f000000) < (u2&0x3f000000) ) return 0;
1.62 noro 463: if ( (u1& 0xfc0000) < (u2& 0xfc0000) ) return 0;
464: if ( (u1& 0x3f000) < (u2& 0x3f000) ) return 0;
465: if ( (u1& 0xfc0) < (u2& 0xfc0) ) return 0;
466: if ( (u1& 0x3f) < (u2& 0x3f) ) return 0;
1.1 noro 467: }
468: return 1;
469: break;
470: case 8:
1.41 noro 471: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 472: u1 = d1[i]; u2 = d2[i];
473: if ( (u1&0xff000000) < (u2&0xff000000) ) return 0;
1.62 noro 474: if ( (u1& 0xff0000) < (u2& 0xff0000) ) return 0;
475: if ( (u1& 0xff00) < (u2& 0xff00) ) return 0;
476: if ( (u1& 0xff) < (u2& 0xff) ) return 0;
1.1 noro 477: }
478: return 1;
479: break;
480: case 16:
1.41 noro 481: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 482: u1 = d1[i]; u2 = d2[i];
483: if ( (u1&0xffff0000) < (u2&0xffff0000) ) return 0;
1.62 noro 484: if ( (u1& 0xffff) < (u2& 0xffff) ) return 0;
1.1 noro 485: }
486: return 1;
487: break;
488: case 32:
1.41 noro 489: for ( i = nd_exporigin; i < nd_wpd; i++ )
1.1 noro 490: if ( d1[i] < d2[i] ) return 0;
491: return 1;
492: break;
493: default:
1.41 noro 494: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 495: u1 = d1[i]; u2 = d2[i];
496: for ( j = 0; j < nd_epw; j++ )
497: if ( (u1&nd_mask[j]) < (u2&nd_mask[j]) ) return 0;
498: }
499: return 1;
500: }
1.65 noro 501: #else
502: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
503: u1 = d1[i]; u2 = d2[i];
504: for ( j = 0; j < nd_epw; j++ )
505: if ( (u1&nd_mask[j]) < (u2&nd_mask[j]) ) return 0;
506: }
507: return 1;
508: #endif
1.1 noro 509: }
510:
1.61 noro 511: /*
512: * If the current order is a block order,
513: * then the last block is length 1 and contains
514: * the homo variable. Otherwise, the original
515: * order is either 0 or 2.
516: */
517:
518: void ndl_homogenize(UINT *d,UINT *r,int obpe,EPOS oepos,int weight)
1.23 noro 519: {
1.61 noro 520: int w,i,e,n,omask0;
521:
522: omask0 = (1<<obpe)-1;
523: n = nd_nvar-1;
524: ndl_zero(r);
525: for ( i = 0; i < n; i++ ) {
526: e = GET_EXP_OLD(d,i);
527: PUT_EXP(r,i,e);
528: }
529: w = TD(d);
530: PUT_EXP(r,nd_nvar-1,weight-w);
531: TD(r) = weight;
532: if ( nd_blockmask ) ndl_weight_mask(r);
533: }
534:
535: void ndl_dehomogenize(UINT *d)
536: {
537: UINT mask;
538: UINT h;
1.31 noro 539: int i,bits;
1.23 noro 540:
1.44 noro 541: if ( nd_blockmask ) {
542: h = GET_EXP(d,nd_nvar-1);
1.45 noro 543: XOR_EXP(d,nd_nvar-1,h);
1.44 noro 544: TD(d) -= h;
545: d[nd_exporigin-1] -= h;
546: } else {
547: if ( nd_isrlex ) {
548: if ( nd_bpe == 32 ) {
549: h = d[nd_exporigin];
550: for ( i = nd_exporigin+1; i < nd_wpd; i++ )
551: d[i-1] = d[i];
552: d[i-1] = 0;
553: TD(d) -= h;
554: } else {
555: bits = nd_epw*nd_bpe;
556: mask = bits==32?0xffffffff:((1<<(nd_epw*nd_bpe))-1);
557: h = (d[nd_exporigin]>>((nd_epw-1)*nd_bpe))&nd_mask0;
558: for ( i = nd_exporigin; i < nd_wpd; i++ )
559: d[i] = ((d[i]<<nd_bpe)&mask)
560: |(i+1<nd_wpd?((d[i+1]>>((nd_epw-1)*nd_bpe))&nd_mask0):0);
561: TD(d) -= h;
562: }
1.45 noro 563: } else {
564: h = GET_EXP(d,nd_nvar-1);
565: XOR_EXP(d,nd_nvar-1,h);
566: TD(d) -= h;
567: }
1.44 noro 568: }
1.23 noro 569: }
570:
1.61 noro 571: void ndl_lcm(UINT *d1,unsigned *d2,UINT *d)
1.1 noro 572: {
1.61 noro 573: UINT t1,t2,u,u1,u2;
1.43 noro 574: int i,j,l;
1.1 noro 575:
1.65 noro 576: #if USE_UNROLL
1.1 noro 577: switch ( nd_bpe ) {
1.62 noro 578: case 3:
579: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
580: u1 = d1[i]; u2 = d2[i];
581: t1 = (u1&0x38000000); t2 = (u2&0x38000000); u = t1>t2?t1:t2;
582: t1 = (u1& 0x7000000); t2 = (u2& 0x7000000); u |= t1>t2?t1:t2;
583: t1 = (u1& 0xe00000); t2 = (u2& 0xe00000); u |= t1>t2?t1:t2;
584: t1 = (u1& 0x1c0000); t2 = (u2& 0x1c0000); u |= t1>t2?t1:t2;
585: t1 = (u1& 0x38000); t2 = (u2& 0x38000); u |= t1>t2?t1:t2;
586: t1 = (u1& 0x7000); t2 = (u2& 0x7000); u |= t1>t2?t1:t2;
587: t1 = (u1& 0xe00); t2 = (u2& 0xe00); u |= t1>t2?t1:t2;
588: t1 = (u1& 0x1c0); t2 = (u2& 0x1c0); u |= t1>t2?t1:t2;
589: t1 = (u1& 0x38); t2 = (u2& 0x38); u |= t1>t2?t1:t2;
590: t1 = (u1& 0x7); t2 = (u2& 0x7); u |= t1>t2?t1:t2;
591: d[i] = u;
592: }
593: break;
1.1 noro 594: case 4:
1.41 noro 595: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 596: u1 = d1[i]; u2 = d2[i];
597: t1 = (u1&0xf0000000); t2 = (u2&0xf0000000); u = t1>t2?t1:t2;
1.62 noro 598: t1 = (u1& 0xf000000); t2 = (u2& 0xf000000); u |= t1>t2?t1:t2;
599: t1 = (u1& 0xf00000); t2 = (u2& 0xf00000); u |= t1>t2?t1:t2;
600: t1 = (u1& 0xf0000); t2 = (u2& 0xf0000); u |= t1>t2?t1:t2;
601: t1 = (u1& 0xf000); t2 = (u2& 0xf000); u |= t1>t2?t1:t2;
602: t1 = (u1& 0xf00); t2 = (u2& 0xf00); u |= t1>t2?t1:t2;
603: t1 = (u1& 0xf0); t2 = (u2& 0xf0); u |= t1>t2?t1:t2;
604: t1 = (u1& 0xf); t2 = (u2& 0xf); u |= t1>t2?t1:t2;
1.1 noro 605: d[i] = u;
606: }
607: break;
608: case 6:
1.41 noro 609: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 610: u1 = d1[i]; u2 = d2[i];
611: t1 = (u1&0x3f000000); t2 = (u2&0x3f000000); u = t1>t2?t1:t2;
1.62 noro 612: t1 = (u1& 0xfc0000); t2 = (u2& 0xfc0000); u |= t1>t2?t1:t2;
613: t1 = (u1& 0x3f000); t2 = (u2& 0x3f000); u |= t1>t2?t1:t2;
614: t1 = (u1& 0xfc0); t2 = (u2& 0xfc0); u |= t1>t2?t1:t2;
615: t1 = (u1& 0x3f); t2 = (u2& 0x3f); u |= t1>t2?t1:t2;
1.1 noro 616: d[i] = u;
617: }
618: break;
619: case 8:
1.41 noro 620: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 621: u1 = d1[i]; u2 = d2[i];
622: t1 = (u1&0xff000000); t2 = (u2&0xff000000); u = t1>t2?t1:t2;
1.62 noro 623: t1 = (u1& 0xff0000); t2 = (u2& 0xff0000); u |= t1>t2?t1:t2;
624: t1 = (u1& 0xff00); t2 = (u2& 0xff00); u |= t1>t2?t1:t2;
625: t1 = (u1& 0xff); t2 = (u2& 0xff); u |= t1>t2?t1:t2;
1.1 noro 626: d[i] = u;
627: }
628: break;
629: case 16:
1.41 noro 630: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 631: u1 = d1[i]; u2 = d2[i];
632: t1 = (u1&0xffff0000); t2 = (u2&0xffff0000); u = t1>t2?t1:t2;
1.62 noro 633: t1 = (u1& 0xffff); t2 = (u2& 0xffff); u |= t1>t2?t1:t2;
1.1 noro 634: d[i] = u;
635: }
636: break;
637: case 32:
1.41 noro 638: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 639: u1 = d1[i]; u2 = d2[i];
640: d[i] = u1>u2?u1:u2;
641: }
642: break;
643: default:
1.41 noro 644: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 645: u1 = d1[i]; u2 = d2[i];
646: for ( j = 0, u = 0; j < nd_epw; j++ ) {
647: t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2;
648: }
649: d[i] = u;
650: }
651: break;
652: }
1.65 noro 653: #else
654: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
655: u1 = d1[i]; u2 = d2[i];
656: for ( j = 0, u = 0; j < nd_epw; j++ ) {
657: t1 = (u1&nd_mask[j]); t2 = (u2&nd_mask[j]); u |= t1>t2?t1:t2;
658: }
659: d[i] = u;
660: }
661: #endif
1.39 noro 662: TD(d) = ndl_weight(d);
1.61 noro 663: if ( nd_blockmask ) ndl_weight_mask(d);
1.57 noro 664: }
665:
1.61 noro 666: int ndl_weight(UINT *d)
1.1 noro 667: {
1.61 noro 668: UINT t,u;
1.1 noro 669: int i,j;
670:
1.60 noro 671: if ( current_dl_weight_vector )
672: for ( i = 0, t = 0; i < nd_nvar; i++ ) {
673: u = GET_EXP(d,i);
674: t += MUL_WEIGHT(u,i);
675: }
676: else
677: for ( t = 0, i = nd_exporigin; i < nd_wpd; i++ ) {
678: u = d[i];
679: for ( j = 0; j < nd_epw; j++, u>>=nd_bpe )
680: t += (u&nd_mask0);
681: }
1.1 noro 682: return t;
683: }
684:
1.61 noro 685: void ndl_weight_mask(UINT *d)
1.43 noro 686: {
1.61 noro 687: UINT t,u;
688: UINT *mask;
689: int i,j,k,l;
1.43 noro 690:
1.61 noro 691: l = nd_blockmask->n;
692: for ( k = 0; k < l; k++ ) {
693: mask = nd_blockmask->mask[k];
694: if ( current_dl_weight_vector )
695: for ( i = 0, t = 0; i < nd_nvar; i++ ) {
696: u = GET_EXP_MASK(d,i,mask);
697: t += MUL_WEIGHT(u,i);
698: }
699: else
700: for ( t = 0, i = nd_exporigin; i < nd_wpd; i++ ) {
701: u = d[i]&mask[i];
702: for ( j = 0; j < nd_epw; j++, u>>=nd_bpe )
703: t += (u&nd_mask0);
704: }
705: d[k+1] = t;
706: }
1.43 noro 707: }
708:
1.61 noro 709: int ndl_lex_compare(UINT *d1,UINT *d2)
1.1 noro 710: {
711: int i;
712:
1.41 noro 713: d1 += nd_exporigin;
714: d2 += nd_exporigin;
715: for ( i = nd_exporigin; i < nd_wpd; i++, d1++, d2++ )
1.1 noro 716: if ( *d1 > *d2 )
1.32 noro 717: return nd_isrlex ? -1 : 1;
1.1 noro 718: else if ( *d1 < *d2 )
1.32 noro 719: return nd_isrlex ? 1 : -1;
1.1 noro 720: return 0;
721: }
722:
1.61 noro 723: int ndl_block_compare(UINT *d1,UINT *d2)
1.43 noro 724: {
725: int i,l,j,ord_o,ord_l;
726: struct order_pair *op;
1.61 noro 727: UINT t1,t2,m;
728: UINT *mask;
1.43 noro 729:
730: l = nd_blockmask->n;
731: op = nd_blockmask->order_pair;
732: for ( j = 0; j < l; j++ ) {
733: mask = nd_blockmask->mask[j];
734: ord_o = op[j].order;
735: if ( ord_o < 2 )
1.44 noro 736: if ( (t1=d1[j+1]) > (t2=d2[j+1]) ) return 1;
737: else if ( t1 < t2 ) return -1;
1.43 noro 738: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.44 noro 739: m = mask[i];
740: t1 = d1[i]&m;
741: t2 = d2[i]&m;
1.43 noro 742: if ( t1 > t2 )
743: return !ord_o ? -1 : 1;
744: else if ( t1 < t2 )
745: return !ord_o ? 1 : -1;
746: }
747: }
748: return 0;
749: }
750:
1.58 noro 751: /* TDH -> WW -> TD-> RL */
752:
1.61 noro 753: int ndl_ww_lex_compare(UINT *d1,UINT *d2)
1.58 noro 754: {
755: int i,m,e1,e2;
756:
757: if ( TD(d1) > TD(d2) ) return 1;
758: else if ( TD(d1) < TD(d2) ) return -1;
759: m = nd_nvar>>1;
760: for ( i = 0, e1 = e2 = 0; i < m; i++ ) {
761: e1 += current_weyl_weight_vector[i]*(GET_EXP(d1,m+i)-GET_EXP(d1,i));
762: e2 += current_weyl_weight_vector[i]*(GET_EXP(d2,m+i)-GET_EXP(d2,i));
763: }
764: if ( e1 > e2 ) return 1;
765: else if ( e1 < e2 ) return -1;
766: return ndl_lex_compare(d1,d2);
767: }
768:
1.61 noro 769: INLINE int ndl_equal(UINT *d1,UINT *d2)
1.1 noro 770: {
771: int i;
772:
1.41 noro 773: for ( i = 0; i < nd_wpd; i++ )
1.34 noro 774: if ( *d1++ != *d2++ )
1.1 noro 775: return 0;
776: return 1;
777: }
778:
1.61 noro 779: INLINE void ndl_copy(UINT *d1,UINT *d2)
1.6 noro 780: {
781: int i;
782:
783: switch ( nd_wpd ) {
1.41 noro 784: case 2:
1.34 noro 785: TD(d2) = TD(d1);
786: d2[1] = d1[1];
1.6 noro 787: break;
1.41 noro 788: case 3:
1.34 noro 789: TD(d2) = TD(d1);
1.6 noro 790: d2[1] = d1[1];
1.34 noro 791: d2[2] = d1[2];
1.6 noro 792: break;
793: default:
1.41 noro 794: for ( i = 0; i < nd_wpd; i++ )
1.6 noro 795: d2[i] = d1[i];
796: break;
797: }
798: }
799:
1.61 noro 800: INLINE void ndl_zero(UINT *d)
801: {
802: int i;
803: for ( i = 0; i < nd_wpd; i++ ) d[i] = 0;
804: }
805:
806: INLINE void ndl_add(UINT *d1,UINT *d2,UINT *d)
1.1 noro 807: {
808: int i;
809:
1.43 noro 810: #if 1
1.6 noro 811: switch ( nd_wpd ) {
1.41 noro 812: case 2:
813: TD(d) = TD(d1)+TD(d2);
1.34 noro 814: d[1] = d1[1]+d2[1];
1.6 noro 815: break;
1.41 noro 816: case 3:
817: TD(d) = TD(d1)+TD(d2);
1.6 noro 818: d[1] = d1[1]+d2[1];
1.34 noro 819: d[2] = d1[2]+d2[2];
1.6 noro 820: break;
821: default:
1.43 noro 822: for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]+d2[i];
1.6 noro 823: break;
824: }
1.43 noro 825: #else
826: for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]+d2[i];
827: #endif
1.6 noro 828: }
829:
1.55 noro 830: /* d1 += d2 */
1.61 noro 831: INLINE void ndl_addto(UINT *d1,UINT *d2)
1.55 noro 832: {
833: int i;
834:
835: #if 1
836: switch ( nd_wpd ) {
837: case 2:
838: TD(d1) += TD(d2);
839: d1[1] += d2[1];
840: break;
841: case 3:
842: TD(d1) += TD(d2);
843: d1[1] += d2[1];
844: d1[2] += d2[2];
845: break;
846: default:
847: for ( i = 0; i < nd_wpd; i++ ) d1[i] += d2[i];
848: break;
849: }
850: #else
851: for ( i = 0; i < nd_wpd; i++ ) d1[i] += d2[i];
852: #endif
853: }
854:
1.61 noro 855: INLINE void ndl_sub(UINT *d1,UINT *d2,UINT *d)
1.6 noro 856: {
857: int i;
858:
1.43 noro 859: for ( i = 0; i < nd_wpd; i++ ) d[i] = d1[i]-d2[i];
1.1 noro 860: }
861:
1.61 noro 862: int ndl_disjoint(UINT *d1,UINT *d2)
1.1 noro 863: {
1.61 noro 864: UINT t1,t2,u,u1,u2;
1.1 noro 865: int i,j;
866:
1.65 noro 867: #if USE_UNROLL
1.1 noro 868: switch ( nd_bpe ) {
1.62 noro 869: case 3:
870: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
871: u1 = d1[i]; u2 = d2[i];
872: t1 = u1&0x38000000; t2 = u2&0x38000000; if ( t1&&t2 ) return 0;
873: t1 = u1& 0x7000000; t2 = u2& 0x7000000; if ( t1&&t2 ) return 0;
874: t1 = u1& 0xe00000; t2 = u2& 0xe00000; if ( t1&&t2 ) return 0;
875: t1 = u1& 0x1c0000; t2 = u2& 0x1c0000; if ( t1&&t2 ) return 0;
876: t1 = u1& 0x38000; t2 = u2& 0x38000; if ( t1&&t2 ) return 0;
877: t1 = u1& 0x7000; t2 = u2& 0x7000; if ( t1&&t2 ) return 0;
878: t1 = u1& 0xe00; t2 = u2& 0xe00; if ( t1&&t2 ) return 0;
879: t1 = u1& 0x1c0; t2 = u2& 0x1c0; if ( t1&&t2 ) return 0;
880: t1 = u1& 0x38; t2 = u2& 0x38; if ( t1&&t2 ) return 0;
881: t1 = u1& 0x7; t2 = u2& 0x7; if ( t1&&t2 ) return 0;
882: }
883: return 1;
884: break;
1.1 noro 885: case 4:
1.41 noro 886: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 887: u1 = d1[i]; u2 = d2[i];
888: t1 = u1&0xf0000000; t2 = u2&0xf0000000; if ( t1&&t2 ) return 0;
1.62 noro 889: t1 = u1& 0xf000000; t2 = u2& 0xf000000; if ( t1&&t2 ) return 0;
890: t1 = u1& 0xf00000; t2 = u2& 0xf00000; if ( t1&&t2 ) return 0;
891: t1 = u1& 0xf0000; t2 = u2& 0xf0000; if ( t1&&t2 ) return 0;
892: t1 = u1& 0xf000; t2 = u2& 0xf000; if ( t1&&t2 ) return 0;
893: t1 = u1& 0xf00; t2 = u2& 0xf00; if ( t1&&t2 ) return 0;
894: t1 = u1& 0xf0; t2 = u2& 0xf0; if ( t1&&t2 ) return 0;
895: t1 = u1& 0xf; t2 = u2& 0xf; if ( t1&&t2 ) return 0;
1.1 noro 896: }
897: return 1;
898: break;
899: case 6:
1.41 noro 900: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 901: u1 = d1[i]; u2 = d2[i];
902: t1 = u1&0x3f000000; t2 = u2&0x3f000000; if ( t1&&t2 ) return 0;
1.62 noro 903: t1 = u1& 0xfc0000; t2 = u2& 0xfc0000; if ( t1&&t2 ) return 0;
904: t1 = u1& 0x3f000; t2 = u2& 0x3f000; if ( t1&&t2 ) return 0;
905: t1 = u1& 0xfc0; t2 = u2& 0xfc0; if ( t1&&t2 ) return 0;
906: t1 = u1& 0x3f; t2 = u2& 0x3f; if ( t1&&t2 ) return 0;
1.1 noro 907: }
908: return 1;
909: break;
910: case 8:
1.41 noro 911: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 912: u1 = d1[i]; u2 = d2[i];
913: t1 = u1&0xff000000; t2 = u2&0xff000000; if ( t1&&t2 ) return 0;
1.62 noro 914: t1 = u1& 0xff0000; t2 = u2& 0xff0000; if ( t1&&t2 ) return 0;
915: t1 = u1& 0xff00; t2 = u2& 0xff00; if ( t1&&t2 ) return 0;
916: t1 = u1& 0xff; t2 = u2& 0xff; if ( t1&&t2 ) return 0;
1.1 noro 917: }
918: return 1;
919: break;
920: case 16:
1.41 noro 921: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 922: u1 = d1[i]; u2 = d2[i];
923: t1 = u1&0xffff0000; t2 = u2&0xffff0000; if ( t1&&t2 ) return 0;
1.62 noro 924: t1 = u1& 0xffff; t2 = u2& 0xffff; if ( t1&&t2 ) return 0;
1.1 noro 925: }
926: return 1;
927: break;
928: case 32:
1.41 noro 929: for ( i = nd_exporigin; i < nd_wpd; i++ )
1.1 noro 930: if ( d1[i] && d2[i] ) return 0;
931: return 1;
932: break;
933: default:
1.41 noro 934: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.1 noro 935: u1 = d1[i]; u2 = d2[i];
936: for ( j = 0; j < nd_epw; j++ ) {
937: if ( (u1&nd_mask0) && (u2&nd_mask0) ) return 0;
938: u1 >>= nd_bpe; u2 >>= nd_bpe;
939: }
940: }
941: return 1;
942: break;
943: }
1.65 noro 944: #else
945: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
946: u1 = d1[i]; u2 = d2[i];
947: for ( j = 0; j < nd_epw; j++ ) {
948: if ( (u1&nd_mask0) && (u2&nd_mask0) ) return 0;
949: u1 >>= nd_bpe; u2 >>= nd_bpe;
950: }
951: }
952: return 1;
953: #endif
1.1 noro 954: }
955:
1.61 noro 956: int ndl_check_bound2(int index,UINT *d2)
1.1 noro 957: {
1.61 noro 958: UINT u2;
959: UINT *d1;
1.5 noro 960: int i,j,ind,k;
1.1 noro 961:
1.5 noro 962: d1 = nd_bound[index];
963: ind = 0;
1.65 noro 964: #if USE_UNROLL
1.5 noro 965: switch ( nd_bpe ) {
1.62 noro 966: case 3:
967: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
968: u2 = d2[i];
969: if ( d1[ind++]+((u2>>27)&0x7) >= 0x8 ) return 1;
970: if ( d1[ind++]+((u2>>24)&0x7) >= 0x8 ) return 1;
971: if ( d1[ind++]+((u2>>21)&0x7) >= 0x8 ) return 1;
972: if ( d1[ind++]+((u2>>18)&0x7) >= 0x8 ) return 1;
973: if ( d1[ind++]+((u2>>15)&0x7) >= 0x8 ) return 1;
974: if ( d1[ind++]+((u2>>12)&0x7) >= 0x8 ) return 1;
975: if ( d1[ind++]+((u2>>9)&0x7) >= 0x8 ) return 1;
976: if ( d1[ind++]+((u2>>6)&0x7) >= 0x8 ) return 1;
977: if ( d1[ind++]+((u2>>3)&0x7) >= 0x8 ) return 1;
978: if ( d1[ind++]+(u2&0x7) >= 0x8 ) return 1;
979: }
980: return 0;
981: break;
1.5 noro 982: case 4:
1.41 noro 983: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.5 noro 984: u2 = d2[i];
985: if ( d1[ind++]+((u2>>28)&0xf) >= 0x10 ) return 1;
986: if ( d1[ind++]+((u2>>24)&0xf) >= 0x10 ) return 1;
987: if ( d1[ind++]+((u2>>20)&0xf) >= 0x10 ) return 1;
988: if ( d1[ind++]+((u2>>16)&0xf) >= 0x10 ) return 1;
989: if ( d1[ind++]+((u2>>12)&0xf) >= 0x10 ) return 1;
990: if ( d1[ind++]+((u2>>8)&0xf) >= 0x10 ) return 1;
991: if ( d1[ind++]+((u2>>4)&0xf) >= 0x10 ) return 1;
992: if ( d1[ind++]+(u2&0xf) >= 0x10 ) return 1;
993: }
994: return 0;
995: break;
996: case 6:
1.41 noro 997: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.5 noro 998: u2 = d2[i];
999: if ( d1[ind++]+((u2>>24)&0x3f) >= 0x40 ) return 1;
1000: if ( d1[ind++]+((u2>>18)&0x3f) >= 0x40 ) return 1;
1001: if ( d1[ind++]+((u2>>12)&0x3f) >= 0x40 ) return 1;
1002: if ( d1[ind++]+((u2>>6)&0x3f) >= 0x40 ) return 1;
1003: if ( d1[ind++]+(u2&0x3f) >= 0x40 ) return 1;
1004: }
1005: return 0;
1006: break;
1007: case 8:
1.41 noro 1008: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.5 noro 1009: u2 = d2[i];
1010: if ( d1[ind++]+((u2>>24)&0xff) >= 0x100 ) return 1;
1011: if ( d1[ind++]+((u2>>16)&0xff) >= 0x100 ) return 1;
1012: if ( d1[ind++]+((u2>>8)&0xff) >= 0x100 ) return 1;
1013: if ( d1[ind++]+(u2&0xff) >= 0x100 ) return 1;
1014: }
1015: return 0;
1016: break;
1017: case 16:
1.41 noro 1018: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.5 noro 1019: u2 = d2[i];
1020: if ( d1[ind++]+((u2>>16)&0xffff) > 0x10000 ) return 1;
1021: if ( d1[ind++]+(u2&0xffff) > 0x10000 ) return 1;
1022: }
1023: return 0;
1024: break;
1025: case 32:
1.41 noro 1026: for ( i = nd_exporigin; i < nd_wpd; i++ )
1.5 noro 1027: if ( d1[i]+d2[i]<d1[i] ) return 1;
1028: return 0;
1029: break;
1030: default:
1.41 noro 1031: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1.5 noro 1032: u2 = d2[i];
1033: k = (nd_epw-1)*nd_bpe;
1034: for ( j = 0; j < nd_epw; j++, k -= nd_bpe )
1035: if ( d1[ind++]+((u2>>k)&nd_mask0) > nd_mask0 ) return 1;
1036: }
1037: return 0;
1038: break;
1039: }
1.65 noro 1040: #else
1041: for ( i = nd_exporigin; i < nd_wpd; i++ ) {
1042: u2 = d2[i];
1043: k = (nd_epw-1)*nd_bpe;
1044: for ( j = 0; j < nd_epw; j++, k -= nd_bpe )
1045: if ( d1[ind++]+((u2>>k)&nd_mask0) > nd_mask0 ) return 1;
1046: }
1047: return 0;
1048: #endif
1.1 noro 1049: }
1050:
1.61 noro 1051: INLINE int ndl_hash_value(UINT *d)
1.1 noro 1052: {
1053: int i;
1054: int r;
1055:
1.34 noro 1056: r = 0;
1.41 noro 1057: for ( i = 0; i < nd_wpd; i++ )
1.1 noro 1058: r = ((r<<16)+d[i])%REDTAB_LEN;
1059: return r;
1060: }
1061:
1.63 noro 1062: INLINE int ndl_find_reducer(UINT *dg)
1.1 noro 1063: {
1.13 noro 1064: RHist r;
1.6 noro 1065: int d,k,i;
1.1 noro 1066:
1.63 noro 1067: d = ndl_hash_value(dg);
1.13 noro 1068: for ( r = nd_red[d], k = 0; r; r = NEXT(r), k++ ) {
1.34 noro 1069: if ( ndl_equal(dg,DL(r)) ) {
1.1 noro 1070: if ( k > 0 ) nd_notfirst++;
1071: nd_found++;
1.13 noro 1072: return r->index;
1.1 noro 1073: }
1074: }
1.13 noro 1075: if ( Reverse )
1076: for ( i = nd_psn-1; i >= 0; i-- ) {
1077: r = nd_psh[i];
1.34 noro 1078: if ( ndl_reducible(dg,DL(r)) ) {
1.13 noro 1079: nd_create++;
1.34 noro 1080: nd_append_red(dg,i);
1.13 noro 1081: return i;
1082: }
1083: }
1084: else
1085: for ( i = 0; i < nd_psn; i++ ) {
1086: r = nd_psh[i];
1.34 noro 1087: if ( ndl_reducible(dg,DL(r)) ) {
1.13 noro 1088: nd_create++;
1.34 noro 1089: nd_append_red(dg,i);
1.13 noro 1090: return i;
1091: }
1.1 noro 1092: }
1.6 noro 1093: return -1;
1.1 noro 1094: }
1095:
1.63 noro 1096: ND nd_merge(ND p1,ND p2)
1097: {
1098: int n,c;
1099: int t,can,td1,td2;
1100: ND r;
1101: NM m1,m2,mr0,mr,s;
1102:
1103: if ( !p1 ) return p2;
1104: else if ( !p2 ) return p1;
1105: else {
1106: can = 0;
1107: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
1108: c = DL_COMPARE(DL(m1),DL(m2));
1109: switch ( c ) {
1110: case 0:
1111: s = m1; m1 = NEXT(m1);
1112: can++; NEXTNM2(mr0,mr,s);
1113: s = m2; m2 = NEXT(m2); FREENM(s);
1114: break;
1115: case 1:
1116: s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
1117: break;
1118: case -1:
1119: s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
1120: break;
1121: }
1122: }
1123: if ( !mr0 )
1124: if ( m1 ) mr0 = m1;
1125: else if ( m2 ) mr0 = m2;
1126: else return 0;
1127: else if ( m1 ) NEXT(mr) = m1;
1128: else if ( m2 ) NEXT(mr) = m2;
1129: else NEXT(mr) = 0;
1130: BDY(p1) = mr0;
1131: SG(p1) = MAX(SG(p1),SG(p2));
1132: LEN(p1) = LEN(p1)+LEN(p2)-can;
1133: FREEND(p2);
1134: return p1;
1135: }
1136: }
1137:
1.31 noro 1138: ND nd_add(int mod,ND p1,ND p2)
1.1 noro 1139: {
1140: int n,c;
1.34 noro 1141: int t,can,td1,td2;
1.1 noro 1142: ND r;
1143: NM m1,m2,mr0,mr,s;
1144:
1.34 noro 1145: if ( !p1 ) return p2;
1146: else if ( !p2 ) return p1;
1.71 noro 1147: else if ( mod == -1 ) return nd_add_sf(p1,p2);
1.34 noro 1148: else if ( !mod ) return nd_add_q(p1,p2);
1.1 noro 1149: else {
1.30 noro 1150: can = 0;
1.1 noro 1151: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
1.34 noro 1152: c = DL_COMPARE(DL(m1),DL(m2));
1.1 noro 1153: switch ( c ) {
1154: case 0:
1.19 noro 1155: t = ((CM(m1))+(CM(m2))) - mod;
1.34 noro 1156: if ( t < 0 ) t += mod;
1.1 noro 1157: s = m1; m1 = NEXT(m1);
1158: if ( t ) {
1.34 noro 1159: can++; NEXTNM2(mr0,mr,s); CM(mr) = (t);
1.1 noro 1160: } else {
1.34 noro 1161: can += 2; FREENM(s);
1.1 noro 1162: }
1163: s = m2; m2 = NEXT(m2); FREENM(s);
1164: break;
1165: case 1:
1166: s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
1167: break;
1168: case -1:
1169: s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
1170: break;
1171: }
1172: }
1173: if ( !mr0 )
1.34 noro 1174: if ( m1 ) mr0 = m1;
1175: else if ( m2 ) mr0 = m2;
1176: else return 0;
1177: else if ( m1 ) NEXT(mr) = m1;
1178: else if ( m2 ) NEXT(mr) = m2;
1179: else NEXT(mr) = 0;
1.1 noro 1180: BDY(p1) = mr0;
1.14 noro 1181: SG(p1) = MAX(SG(p1),SG(p2));
1.31 noro 1182: LEN(p1) = LEN(p1)+LEN(p2)-can;
1.1 noro 1183: FREEND(p2);
1184: return p1;
1185: }
1186: }
1187:
1.31 noro 1188: ND nd_add_q(ND p1,ND p2)
1.17 noro 1189: {
1.30 noro 1190: int n,c,can;
1.17 noro 1191: ND r;
1192: NM m1,m2,mr0,mr,s;
1193: Q t;
1194:
1.34 noro 1195: if ( !p1 ) return p2;
1196: else if ( !p2 ) return p1;
1.31 noro 1197: else {
1.30 noro 1198: can = 0;
1.17 noro 1199: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
1.34 noro 1200: c = DL_COMPARE(DL(m1),DL(m2));
1.17 noro 1201: switch ( c ) {
1202: case 0:
1203: addq(CQ(m1),CQ(m2),&t);
1204: s = m1; m1 = NEXT(m1);
1205: if ( t ) {
1.34 noro 1206: can++; NEXTNM2(mr0,mr,s); CQ(mr) = (t);
1.17 noro 1207: } else {
1.34 noro 1208: can += 2; FREENM(s);
1.17 noro 1209: }
1210: s = m2; m2 = NEXT(m2); FREENM(s);
1211: break;
1212: case 1:
1213: s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
1214: break;
1215: case -1:
1216: s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
1217: break;
1218: }
1219: }
1220: if ( !mr0 )
1.34 noro 1221: if ( m1 ) mr0 = m1;
1222: else if ( m2 ) mr0 = m2;
1223: else return 0;
1224: else if ( m1 ) NEXT(mr) = m1;
1225: else if ( m2 ) NEXT(mr) = m2;
1226: else NEXT(mr) = 0;
1.17 noro 1227: BDY(p1) = mr0;
1228: SG(p1) = MAX(SG(p1),SG(p2));
1.31 noro 1229: LEN(p1) = LEN(p1)+LEN(p2)-can;
1.17 noro 1230: FREEND(p2);
1231: return p1;
1232: }
1233: }
1234:
1.71 noro 1235: ND nd_add_sf(ND p1,ND p2)
1236: {
1237: int n,c,can;
1238: ND r;
1239: NM m1,m2,mr0,mr,s;
1240: int t;
1241:
1242: if ( !p1 ) return p2;
1243: else if ( !p2 ) return p1;
1244: else {
1245: can = 0;
1246: for ( n = NV(p1), m1 = BDY(p1), m2 = BDY(p2), mr0 = 0; m1 && m2; ) {
1247: c = DL_COMPARE(DL(m1),DL(m2));
1248: switch ( c ) {
1249: case 0:
1250: t = _addsf(CM(m1),CM(m2));
1251: s = m1; m1 = NEXT(m1);
1252: if ( t ) {
1253: can++; NEXTNM2(mr0,mr,s); CM(mr) = (t);
1254: } else {
1255: can += 2; FREENM(s);
1256: }
1257: s = m2; m2 = NEXT(m2); FREENM(s);
1258: break;
1259: case 1:
1260: s = m1; m1 = NEXT(m1); NEXTNM2(mr0,mr,s);
1261: break;
1262: case -1:
1263: s = m2; m2 = NEXT(m2); NEXTNM2(mr0,mr,s);
1264: break;
1265: }
1266: }
1267: if ( !mr0 )
1268: if ( m1 ) mr0 = m1;
1269: else if ( m2 ) mr0 = m2;
1270: else return 0;
1271: else if ( m1 ) NEXT(mr) = m1;
1272: else if ( m2 ) NEXT(mr) = m2;
1273: else NEXT(mr) = 0;
1274: BDY(p1) = mr0;
1275: SG(p1) = MAX(SG(p1),SG(p2));
1276: LEN(p1) = LEN(p1)+LEN(p2)-can;
1277: FREEND(p2);
1278: return p1;
1279: }
1280: }
1281:
1.1 noro 1282: /* ret=1 : success, ret=0 : overflow */
1.69 noro 1283: int nd_nf(int mod,ND g,NDV *ps,int full,NDC dn,ND *rp)
1.1 noro 1284: {
1.11 noro 1285: ND d;
1.1 noro 1286: NM m,mrd,tail;
1.7 noro 1287: NM mul;
1.10 noro 1288: int n,sugar,psugar,sugar0,stat,index;
1.30 noro 1289: int c,c1,c2,dummy;
1.17 noro 1290: RHist h;
1.11 noro 1291: NDV p,red;
1.69 noro 1292: Q cg,cred,gcd,tq,qq;
1.21 noro 1293: double hmag;
1.1 noro 1294:
1.69 noro 1295: if ( dn ) {
1296: if ( mod )
1297: dn->m = 1;
1298: else
1299: dn->z = ONE;
1300: }
1.1 noro 1301: if ( !g ) {
1302: *rp = 0;
1303: return 1;
1304: }
1.34 noro 1305: if ( !mod ) hmag = ((double)p_mag((P)HCQ(g)))*nd_scale;
1.21 noro 1306:
1.14 noro 1307: sugar0 = sugar = SG(g);
1.1 noro 1308: n = NV(g);
1.61 noro 1309: mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
1.1 noro 1310: for ( d = 0; g; ) {
1.63 noro 1311: index = ndl_find_reducer(HDL(g));
1.6 noro 1312: if ( index >= 0 ) {
1.17 noro 1313: h = nd_psh[index];
1314: ndl_sub(HDL(g),DL(h),DL(mul));
1.14 noro 1315: if ( ndl_check_bound2(index,DL(mul)) ) {
1.6 noro 1316: nd_free(g); nd_free(d);
1317: return 0;
1318: }
1.53 noro 1319: p = ps[index];
1.71 noro 1320: if ( mod == -1 )
1321: CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g)));
1322: else if ( mod ) {
1.19 noro 1323: c1 = invm(HCM(p),mod); c2 = mod-HCM(g);
1324: DMAR(c1,c2,0,mod,c); CM(mul) = c;
1.16 noro 1325: } else {
1.17 noro 1326: igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred);
1.16 noro 1327: chsgnq(cg,&CQ(mul));
1.20 noro 1328: nd_mul_c_q(d,cred); nd_mul_c_q(g,cred);
1.69 noro 1329: if ( dn ) {
1330: mulq(dn->z,cred,&tq); dn->z = tq;
1331: }
1.16 noro 1332: }
1.55 noro 1333: g = nd_add(mod,g,ndv_mul_nm(mod,mul,p));
1.34 noro 1334: sugar = MAX(sugar,SG(p)+TD(DL(mul)));
1.22 noro 1335: if ( !mod && hmag && g && ((double)(p_mag((P)HCQ(g))) > hmag) ) {
1.69 noro 1336: tq = HCQ(g);
1.21 noro 1337: nd_removecont2(d,g);
1.69 noro 1338: if ( dn ) {
1339: divq(tq,HCQ(g),&qq); divq(dn->z,qq,&tq); dn->z = tq;
1340: }
1.21 noro 1341: hmag = ((double)p_mag((P)HCQ(g)))*nd_scale;
1342: }
1.1 noro 1343: } else if ( !full ) {
1344: *rp = g;
1345: return 1;
1346: } else {
1347: m = BDY(g);
1348: if ( NEXT(m) ) {
1.34 noro 1349: BDY(g) = NEXT(m); NEXT(m) = 0; LEN(g)--;
1.1 noro 1350: } else {
1351: FREEND(g); g = 0;
1352: }
1353: if ( d ) {
1.34 noro 1354: NEXT(tail)=m; tail=m; LEN(d)++;
1.1 noro 1355: } else {
1.34 noro 1356: MKND(n,m,1,d); tail = BDY(d);
1.1 noro 1357: }
1358: }
1359: }
1.34 noro 1360: if ( d ) SG(d) = sugar;
1.1 noro 1361: *rp = d;
1362: return 1;
1363: }
1.28 noro 1364:
1.53 noro 1365: int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *rp)
1.25 noro 1366: {
1367: int hindex,index;
1368: NDV p;
1369: ND u,d,red;
1370: NODE l;
1.31 noro 1371: NM mul,m,mrd,tail;
1.25 noro 1372: int sugar,psugar,n,h_reducible;
1373: PGeoBucket bucket;
1374: int c,c1,c2;
1.26 noro 1375: Q cg,cred,gcd,zzz;
1.25 noro 1376: RHist h;
1.28 noro 1377: double hmag,gmag;
1.25 noro 1378:
1379: if ( !g ) {
1380: *rp = 0;
1381: return 1;
1382: }
1383: sugar = SG(g);
1384: n = NV(g);
1.34 noro 1385: if ( !mod ) hmag = ((double)p_mag((P)HCQ(g)))*nd_scale;
1.25 noro 1386: bucket = create_pbucket();
1.31 noro 1387: add_pbucket(mod,bucket,g);
1.25 noro 1388: d = 0;
1.61 noro 1389: mul = (NM)ALLOCA(sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT));
1.25 noro 1390: while ( 1 ) {
1.26 noro 1391: hindex = mod?head_pbucket(mod,bucket):head_pbucket_q(bucket);
1.25 noro 1392: if ( hindex < 0 ) {
1.34 noro 1393: if ( d ) SG(d) = sugar;
1.25 noro 1394: *rp = d;
1395: return 1;
1396: }
1397: g = bucket->body[hindex];
1.63 noro 1398: index = ndl_find_reducer(HDL(g));
1.25 noro 1399: if ( index >= 0 ) {
1400: h = nd_psh[index];
1401: ndl_sub(HDL(g),DL(h),DL(mul));
1402: if ( ndl_check_bound2(index,DL(mul)) ) {
1.26 noro 1403: nd_free(d);
1.25 noro 1404: free_pbucket(bucket);
1405: *rp = 0;
1406: return 0;
1407: }
1.53 noro 1408: p = ps[index];
1.71 noro 1409: if ( mod == -1 )
1410: CM(mul) = _mulsf(_invsf(HCM(p)),_chsgnsf(HCM(g)));
1411: else if ( mod ) {
1.25 noro 1412: c1 = invm(HCM(p),mod); c2 = mod-HCM(g);
1413: DMAR(c1,c2,0,mod,c); CM(mul) = c;
1414: } else {
1415: igcd_cofactor(HCQ(g),HCQ(p),&gcd,&cg,&cred);
1416: chsgnq(cg,&CQ(mul));
1.26 noro 1417: nd_mul_c_q(d,cred);
1418: mulq_pbucket(bucket,cred);
1419: g = bucket->body[hindex];
1.28 noro 1420: gmag = (double)p_mag((P)HCQ(g));
1.25 noro 1421: }
1.55 noro 1422: red = ndv_mul_nm(mod,mul,p);
1.25 noro 1423: bucket->body[hindex] = nd_remove_head(g);
1424: red = nd_remove_head(red);
1.31 noro 1425: add_pbucket(mod,bucket,red);
1.34 noro 1426: psugar = SG(p)+TD(DL(mul));
1427: sugar = MAX(sugar,psugar);
1.28 noro 1428: if ( !mod && hmag && (gmag > hmag) ) {
1429: g = normalize_pbucket(mod,bucket);
1430: if ( !g ) {
1.34 noro 1431: if ( d ) SG(d) = sugar;
1.28 noro 1432: *rp = d;
1433: return 1;
1434: }
1435: nd_removecont2(d,g);
1436: hmag = ((double)p_mag((P)HCQ(g)))*nd_scale;
1.31 noro 1437: add_pbucket(mod,bucket,g);
1.28 noro 1438: }
1.25 noro 1439: } else if ( !full ) {
1440: g = normalize_pbucket(mod,bucket);
1.34 noro 1441: if ( g ) SG(g) = sugar;
1.25 noro 1442: *rp = g;
1443: return 1;
1444: } else {
1445: m = BDY(g);
1446: if ( NEXT(m) ) {
1.34 noro 1447: BDY(g) = NEXT(m); NEXT(m) = 0; LEN(g)--;
1.25 noro 1448: } else {
1449: FREEND(g); g = 0;
1450: }
1451: bucket->body[hindex] = g;
1452: NEXT(m) = 0;
1453: if ( d ) {
1.34 noro 1454: NEXT(tail)=m; tail=m; LEN(d)++;
1.25 noro 1455: } else {
1.34 noro 1456: MKND(n,m,1,d); tail = BDY(d);
1.25 noro 1457: }
1458: }
1459: }
1460: }
1.27 noro 1461:
1.61 noro 1462: /* input : list of NDV, cand : list of NDV */
1.28 noro 1463:
1.61 noro 1464: int ndv_check_candidate(NODE input,int obpe,int oadv,EPOS oepos,NODE cand)
1.28 noro 1465: {
1466: int n,i,stat;
1467: ND nf,d;
1.61 noro 1468: NDV r;
1.45 noro 1469: NODE t,s;
1.69 noro 1470: union oNDC dn;
1.45 noro 1471:
1.61 noro 1472: ndv_setup(0,0,cand);
1.31 noro 1473: n = length(cand);
1.28 noro 1474:
1475: /* membercheck : list is a subset of Id(cand) ? */
1476: for ( t = input; t; t = NEXT(t) ) {
1.45 noro 1477: again:
1.61 noro 1478: if ( nd_bpe > obpe )
1479: r = ndv_dup_realloc((NDV)BDY(t),obpe,oadv,oepos);
1480: else
1481: r = (NDV)BDY(t);
1482: d = ndvtond(0,r);
1.69 noro 1483: stat = nd_nf(0,d,nd_ps,0,0,&nf);
1.45 noro 1484: if ( !stat ) {
1485: nd_reconstruct(0,0,0);
1486: goto again;
1487: } else if ( nf ) return 0;
1.71 noro 1488: if ( DP_Print ) { printf("."); fflush(stdout); }
1.28 noro 1489: }
1.71 noro 1490: if ( DP_Print ) { printf("\n"); }
1.28 noro 1491: /* gbcheck : cand is a GB of Id(cand) ? */
1.34 noro 1492: if ( !nd_gb(0,1) ) return 0;
1.28 noro 1493: /* XXX */
1.23 noro 1494: return 1;
1495: }
1.1 noro 1496:
1497: ND nd_remove_head(ND p)
1498: {
1499: NM m;
1500:
1501: m = BDY(p);
1502: if ( !NEXT(m) ) {
1.34 noro 1503: FREEND(p); p = 0;
1.31 noro 1504: } else {
1.34 noro 1505: BDY(p) = NEXT(m); LEN(p)--;
1.31 noro 1506: }
1.1 noro 1507: FREENM(m);
1508: return p;
1509: }
1510:
1.69 noro 1511: ND nd_separate_head(ND p,ND *head)
1512: {
1513: NM m,m0;
1514: ND r;
1515:
1516: m = BDY(p);
1517: if ( !NEXT(m) ) {
1518: *head = p; p = 0;
1519: } else {
1520: m0 = m;
1521: BDY(p) = NEXT(m); LEN(p)--;
1522: NEXT(m0) = 0;
1523: MKND(NV(p),m0,1,r);
1524: *head = r;
1525: }
1526: return p;
1527: }
1528:
1.1 noro 1529: PGeoBucket create_pbucket()
1530: {
1531: PGeoBucket g;
1532:
1533: g = CALLOC(1,sizeof(struct oPGeoBucket));
1534: g->m = -1;
1535: return g;
1536: }
1537:
1.25 noro 1538: void free_pbucket(PGeoBucket b) {
1539: int i;
1540:
1.26 noro 1541: for ( i = 0; i <= b->m; i++ )
1.25 noro 1542: if ( b->body[i] ) {
1543: nd_free(b->body[i]);
1544: b->body[i] = 0;
1545: }
1546: GC_free(b);
1547: }
1548:
1.63 noro 1549: void add_pbucket_symbolic(PGeoBucket g,ND d)
1550: {
1551: int l,i,k,m;
1552:
1553: if ( !d )
1554: return;
1555: l = LEN(d);
1556: for ( k = 0, m = 1; l > m; k++, m <<= 1 );
1557: /* 2^(k-1) < l <= 2^k (=m) */
1558: d = nd_merge(g->body[k],d);
1559: for ( ; d && LEN(d) > m; k++, m <<= 1 ) {
1560: g->body[k] = 0;
1561: d = nd_merge(g->body[k+1],d);
1562: }
1563: g->body[k] = d;
1564: g->m = MAX(g->m,k);
1565: }
1566:
1.31 noro 1567: void add_pbucket(int mod,PGeoBucket g,ND d)
1.1 noro 1568: {
1.31 noro 1569: int l,i,k,m;
1.1 noro 1570:
1.31 noro 1571: if ( !d )
1572: return;
1573: l = LEN(d);
1.29 noro 1574: for ( k = 0, m = 1; l > m; k++, m <<= 1 );
1575: /* 2^(k-1) < l <= 2^k (=m) */
1.31 noro 1576: d = nd_add(mod,g->body[k],d);
1577: for ( ; d && LEN(d) > m; k++, m <<= 1 ) {
1.1 noro 1578: g->body[k] = 0;
1.31 noro 1579: d = nd_add(mod,g->body[k+1],d);
1.1 noro 1580: }
1581: g->body[k] = d;
1582: g->m = MAX(g->m,k);
1583: }
1584:
1.26 noro 1585: void mulq_pbucket(PGeoBucket g,Q c)
1586: {
1587: int k;
1588:
1589: for ( k = 0; k <= g->m; k++ )
1590: nd_mul_c_q(g->body[k],c);
1591: }
1592:
1.63 noro 1593: NM remove_head_pbucket_symbolic(PGeoBucket g)
1594: {
1595: int j,i,k,c;
1596: NM head;
1597:
1598: k = g->m;
1599: j = -1;
1600: for ( i = 0; i <= k; i++ ) {
1601: if ( !g->body[i] ) continue;
1602: if ( j < 0 ) j = i;
1603: else {
1604: c = DL_COMPARE(HDL(g->body[i]),HDL(g->body[j]));
1605: if ( c > 0 )
1606: j = i;
1607: else if ( c == 0 )
1608: g->body[i] = nd_remove_head(g->body[i]);
1609: }
1610: }
1611: if ( j < 0 ) return 0;
1612: else {
1613: head = BDY(g->body[j]);
1614: if ( !NEXT(head) ) {
1615: FREEND(g->body[j]);
1616: g->body[j] = 0;
1617: } else {
1618: BDY(g->body[j]) = NEXT(head);
1619: LEN(g->body[j])--;
1620: }
1621: return head;
1622: }
1623: }
1624:
1.19 noro 1625: int head_pbucket(int mod,PGeoBucket g)
1.1 noro 1626: {
1627: int j,i,c,k,nv,sum;
1.61 noro 1628: UINT *di,*dj;
1.1 noro 1629: ND gi,gj;
1630:
1631: k = g->m;
1632: while ( 1 ) {
1633: j = -1;
1634: for ( i = 0; i <= k; i++ ) {
1635: if ( !(gi = g->body[i]) )
1636: continue;
1637: if ( j < 0 ) {
1638: j = i;
1639: gj = g->body[j];
1640: dj = HDL(gj);
1.14 noro 1641: sum = HCM(gj);
1.1 noro 1642: } else {
1.34 noro 1643: c = DL_COMPARE(HDL(gi),dj);
1.1 noro 1644: if ( c > 0 ) {
1.34 noro 1645: if ( sum ) HCM(gj) = sum;
1646: else g->body[j] = nd_remove_head(gj);
1.1 noro 1647: j = i;
1648: gj = g->body[j];
1649: dj = HDL(gj);
1.14 noro 1650: sum = HCM(gj);
1.1 noro 1651: } else if ( c == 0 ) {
1.71 noro 1652: if ( mod == -1 )
1653: sum = _addsf(sum,HCM(gi));
1654: else {
1655: sum = sum+HCM(gi)-mod;
1656: if ( sum < 0 ) sum += mod;
1657: }
1.1 noro 1658: g->body[i] = nd_remove_head(gi);
1659: }
1660: }
1661: }
1.34 noro 1662: if ( j < 0 ) return -1;
1.1 noro 1663: else if ( sum ) {
1.14 noro 1664: HCM(gj) = sum;
1.26 noro 1665: return j;
1.31 noro 1666: } else
1.26 noro 1667: g->body[j] = nd_remove_head(gj);
1668: }
1669: }
1670:
1671: int head_pbucket_q(PGeoBucket g)
1672: {
1673: int j,i,c,k,nv;
1674: Q sum,t;
1675: ND gi,gj;
1676:
1677: k = g->m;
1678: while ( 1 ) {
1679: j = -1;
1680: for ( i = 0; i <= k; i++ ) {
1.34 noro 1681: if ( !(gi = g->body[i]) ) continue;
1.26 noro 1682: if ( j < 0 ) {
1683: j = i;
1684: gj = g->body[j];
1685: sum = HCQ(gj);
1686: } else {
1687: nv = NV(gi);
1.34 noro 1688: c = DL_COMPARE(HDL(gi),HDL(gj));
1.26 noro 1689: if ( c > 0 ) {
1.34 noro 1690: if ( sum ) HCQ(gj) = sum;
1691: else g->body[j] = nd_remove_head(gj);
1.26 noro 1692: j = i;
1693: gj = g->body[j];
1694: sum = HCQ(gj);
1695: } else if ( c == 0 ) {
1696: addq(sum,HCQ(gi),&t);
1697: sum = t;
1698: g->body[i] = nd_remove_head(gi);
1699: }
1700: }
1701: }
1.34 noro 1702: if ( j < 0 ) return -1;
1.26 noro 1703: else if ( sum ) {
1704: HCQ(gj) = sum;
1.1 noro 1705: return j;
1.31 noro 1706: } else
1.1 noro 1707: g->body[j] = nd_remove_head(gj);
1708: }
1709: }
1710:
1.25 noro 1711: ND normalize_pbucket(int mod,PGeoBucket g)
1.1 noro 1712: {
1.31 noro 1713: int i;
1.1 noro 1714: ND r,t;
1715:
1716: r = 0;
1.28 noro 1717: for ( i = 0; i <= g->m; i++ ) {
1.31 noro 1718: r = nd_add(mod,r,g->body[i]);
1.28 noro 1719: g->body[i] = 0;
1720: }
1721: g->m = -1;
1.1 noro 1722: return r;
1723: }
1724:
1.27 noro 1725: /* return value = 0 => input is not a GB */
1726:
1727: NODE nd_gb(int m,int checkonly)
1.1 noro 1728: {
1729: int i,nh,sugar,stat;
1.23 noro 1730: NODE r,g,t;
1.1 noro 1731: ND_pairs d;
1732: ND_pairs l;
1733: ND h,nf;
1.63 noro 1734: NDV nfv;
1.69 noro 1735: union oNDC dn;
1.1 noro 1736:
1.23 noro 1737: g = 0; d = 0;
1738: for ( i = 0; i < nd_psn; i++ ) {
1.1 noro 1739: d = update_pairs(d,g,i);
1740: g = update_base(g,i);
1741: }
1742: sugar = 0;
1743: while ( d ) {
1744: again:
1745: l = nd_minp(d,&d);
1.14 noro 1746: if ( SG(l) != sugar ) {
1747: sugar = SG(l);
1.71 noro 1748: if ( DP_Print ) fprintf(asir_out,"%d",sugar);
1.1 noro 1749: }
1.53 noro 1750: stat = nd_sp(m,0,l,&h);
1.1 noro 1751: if ( !stat ) {
1752: NEXT(l) = d; d = l;
1.20 noro 1753: d = nd_reconstruct(m,0,d);
1.1 noro 1754: goto again;
1755: }
1.41 noro 1756: #if USE_GEOBUCKET
1.69 noro 1757: stat = m?nd_nf_pbucket(m,h,nd_ps,!Top,&nf):nd_nf(m,h,nd_ps,!Top,0,&nf);
1.41 noro 1758: #else
1.69 noro 1759: stat = nd_nf(m,h,nd_ps,!Top,0,&nf);
1.41 noro 1760: #endif
1.1 noro 1761: if ( !stat ) {
1762: NEXT(l) = d; d = l;
1.20 noro 1763: d = nd_reconstruct(m,0,d);
1.1 noro 1764: goto again;
1765: } else if ( nf ) {
1.27 noro 1766: if ( checkonly ) return 0;
1.71 noro 1767: if ( DP_Print ) { printf("+"); fflush(stdout); }
1.63 noro 1768: nd_removecont(m,nf);
1769: nfv = ndtondv(m,nf); nd_free(nf);
1770: nh = ndv_newps(nfv,0);
1.1 noro 1771: d = update_pairs(d,g,nh);
1772: g = update_base(g,nh);
1773: FREENDP(l);
1774: } else {
1.71 noro 1775: if ( DP_Print ) { printf("."); fflush(stdout); }
1.1 noro 1776: FREENDP(l);
1777: }
1778: }
1.53 noro 1779: for ( t = g; t; t = NEXT(t) ) BDY(t) = (pointer)nd_ps[(int)BDY(t)];
1.1 noro 1780: return g;
1781: }
1782:
1.23 noro 1783: NODE nd_gb_trace(int m)
1.20 noro 1784: {
1785: int i,nh,sugar,stat;
1.23 noro 1786: NODE r,g,t;
1.20 noro 1787: ND_pairs d;
1788: ND_pairs l;
1789: ND h,nf,nfq;
1.63 noro 1790: NDV nfv,nfqv;
1.69 noro 1791: union oNDC dn;
1.20 noro 1792:
1.23 noro 1793: g = 0; d = 0;
1794: for ( i = 0; i < nd_psn; i++ ) {
1.20 noro 1795: d = update_pairs(d,g,i);
1796: g = update_base(g,i);
1797: }
1798: sugar = 0;
1799: while ( d ) {
1800: again:
1801: l = nd_minp(d,&d);
1802: if ( SG(l) != sugar ) {
1803: sugar = SG(l);
1.71 noro 1804: if ( DP_Print ) fprintf(asir_out,"%d",sugar);
1.20 noro 1805: }
1.53 noro 1806: stat = nd_sp(m,0,l,&h);
1.20 noro 1807: if ( !stat ) {
1808: NEXT(l) = d; d = l;
1809: d = nd_reconstruct(m,1,d);
1810: goto again;
1811: }
1.41 noro 1812: #if USE_GEOBUCKET
1.53 noro 1813: stat = nd_nf_pbucket(m,h,nd_ps,!Top,&nf);
1.41 noro 1814: #else
1.69 noro 1815: stat = nd_nf(m,h,nd_ps,!Top,0,&nf);
1.41 noro 1816: #endif
1.20 noro 1817: if ( !stat ) {
1818: NEXT(l) = d; d = l;
1819: d = nd_reconstruct(m,1,d);
1820: goto again;
1821: } else if ( nf ) {
1.70 noro 1822: if ( !nd_sp(0,1,l,&h) || !nd_nf(0,h,nd_ps_trace,!Top,0,&nfq) ) {
1823: NEXT(l) = d; d = l;
1824: d = nd_reconstruct(m,1,d);
1825: goto again;
1826: }
1.20 noro 1827: if ( nfq ) {
1.70 noro 1828: /* m|HC(nfq) => failure */
1.63 noro 1829: if ( !rem(NM(HCQ(nfq)),m) ) return 0;
1830:
1.71 noro 1831: if ( DP_Print ) { printf("+"); fflush(stdout); }
1.63 noro 1832: nd_removecont(m,nf); nfv = ndtondv(m,nf); nd_free(nf);
1833: nd_removecont(0,nfq); nfqv = ndtondv(0,nfq); nd_free(nfq);
1834: nh = ndv_newps(nfv,nfqv);
1.20 noro 1835: d = update_pairs(d,g,nh);
1836: g = update_base(g,nh);
1837: } else {
1.71 noro 1838: if ( DP_Print ) { printf("*"); fflush(stdout); }
1.20 noro 1839: }
1840: } else {
1.71 noro 1841: if ( DP_Print ) { printf("."); fflush(stdout); }
1.20 noro 1842: }
1843: FREENDP(l);
1844: }
1.23 noro 1845: for ( t = g; t; t = NEXT(t) )
1.53 noro 1846: BDY(t) = (pointer)nd_ps_trace[(int)BDY(t)];
1.20 noro 1847: return g;
1848: }
1849:
1.23 noro 1850: int ndv_compare(NDV *p1,NDV *p2)
1851: {
1.34 noro 1852: return DL_COMPARE(HDL(*p1),HDL(*p2));
1.23 noro 1853: }
1854:
1855: int ndv_compare_rev(NDV *p1,NDV *p2)
1856: {
1.34 noro 1857: return -DL_COMPARE(HDL(*p1),HDL(*p2));
1.23 noro 1858: }
1859:
1.61 noro 1860: NODE ndv_reduceall(int m,NODE f)
1.23 noro 1861: {
1.69 noro 1862: int i,n,stat;
1863: ND nf,g,head;
1.23 noro 1864: NODE t,a0,a;
1.69 noro 1865: union oNDC dn;
1866: NDV *w;
1867: Q q;
1.23 noro 1868:
1.69 noro 1869: n = length(f);
1870: #if 0
1871: w = (NDV *)ALLOCA(n*sizeof(NDV));
1872: for ( i = 0, t = f; i < n; i++, t = NEXT(t) ) w[i] = (NDV)BDY(t);
1873: qsort(w,n,sizeof(NDV),
1874: (int (*)(const void *,const void *))ndv_compare);
1875: for ( t = f, i = 0; t; i++, t = NEXT(t) ) BDY(t) = (pointer)w[i];
1876: #endif
1877: ndv_setup(m,0,f);
1878: for ( i = 0; i < n; ) {
1879: g = ndvtond(m,nd_ps[i]);
1880: g = nd_separate_head(g,&head);
1881: stat = nd_nf(m,g,nd_ps,1,&dn,&nf);
1.50 noro 1882: if ( !stat )
1.69 noro 1883: nd_reconstruct(m,0,0);
1884: else {
1.71 noro 1885: if ( DP_Print ) { printf("."); fflush(stdout); }
1.69 noro 1886: if ( !m ) { mulq(HCQ(head),dn.z,&q); HCQ(head) = q; }
1887: nf = nd_add(m,head,nf);
1888: ndv_free(nd_ps[i]);
1.24 noro 1889: nd_removecont(m,nf);
1.69 noro 1890: nd_ps[i] = ndtondv(m,nf); nd_free(nf);
1891: nd_bound[i] = ndv_compute_bound(nd_ps[i]);
1.50 noro 1892: i++;
1.23 noro 1893: }
1894: }
1.71 noro 1895: if ( DP_Print ) { printf("\n"); }
1.23 noro 1896: for ( a0 = 0, i = 0; i < n; i++ ) {
1897: NEXTNODE(a0,a);
1.69 noro 1898: BDY(a) = (pointer)nd_ps[i];
1.23 noro 1899: }
1900: NEXT(a) = 0;
1901: return a0;
1902: }
1903:
1.1 noro 1904: ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t)
1905: {
1906: ND_pairs d1,nd,cur,head,prev,remove;
1907:
1908: if ( !g ) return d;
1909: d = crit_B(d,t);
1910: d1 = nd_newpairs(g,t);
1911: d1 = crit_M(d1);
1912: d1 = crit_F(d1);
1.55 noro 1913: if ( do_weyl )
1914: head = d1;
1915: else {
1916: prev = 0; cur = head = d1;
1917: while ( cur ) {
1918: if ( crit_2( cur->i1,cur->i2 ) ) {
1919: remove = cur;
1920: if ( !prev ) head = cur = NEXT(cur);
1921: else cur = NEXT(prev) = NEXT(cur);
1922: FREENDP(remove);
1923: } else {
1924: prev = cur; cur = NEXT(cur);
1925: }
1.1 noro 1926: }
1927: }
1928: if ( !d )
1929: return head;
1930: else {
1931: nd = d;
1.34 noro 1932: while ( NEXT(nd) ) nd = NEXT(nd);
1.1 noro 1933: NEXT(nd) = head;
1934: return d;
1935: }
1936: }
1937:
1938: ND_pairs nd_newpairs( NODE g, int t )
1939: {
1940: NODE h;
1.61 noro 1941: UINT *dl;
1.34 noro 1942: int ts,s;
1.1 noro 1943: ND_pairs r,r0;
1944:
1.20 noro 1945: dl = DL(nd_psh[t]);
1.34 noro 1946: ts = SG(nd_psh[t]) - TD(dl);
1.1 noro 1947: for ( r0 = 0, h = g; h; h = NEXT(h) ) {
1948: NEXTND_pairs(r0,r);
1949: r->i1 = (int)BDY(h);
1950: r->i2 = t;
1.20 noro 1951: ndl_lcm(DL(nd_psh[r->i1]),dl,r->lcm);
1.34 noro 1952: s = SG(nd_psh[r->i1])-TD(DL(nd_psh[r->i1]));
1953: SG(r) = MAX(s,ts) + TD(LCM(r));
1.1 noro 1954: }
1955: NEXT(r) = 0;
1956: return r0;
1957: }
1958:
1959: ND_pairs crit_B( ND_pairs d, int s )
1960: {
1961: ND_pairs cur,head,prev,remove;
1.61 noro 1962: UINT *t,*tl,*lcm;
1.1 noro 1963: int td,tdl;
1964:
1965: if ( !d ) return 0;
1.20 noro 1966: t = DL(nd_psh[s]);
1.1 noro 1967: prev = 0;
1968: head = cur = d;
1.61 noro 1969: lcm = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
1.1 noro 1970: while ( cur ) {
1971: tl = cur->lcm;
1972: if ( ndl_reducible(tl,t)
1.20 noro 1973: && (ndl_lcm(DL(nd_psh[cur->i1]),t,lcm),!ndl_equal(lcm,tl))
1974: && (ndl_lcm(DL(nd_psh[cur->i2]),t,lcm),!ndl_equal(lcm,tl)) ) {
1.1 noro 1975: remove = cur;
1976: if ( !prev ) {
1977: head = cur = NEXT(cur);
1978: } else {
1979: cur = NEXT(prev) = NEXT(cur);
1980: }
1981: FREENDP(remove);
1982: } else {
1.34 noro 1983: prev = cur; cur = NEXT(cur);
1.1 noro 1984: }
1985: }
1986: return head;
1987: }
1988:
1989: ND_pairs crit_M( ND_pairs d1 )
1990: {
1991: ND_pairs e,d2,d3,dd,p;
1.61 noro 1992: UINT *id,*jd;
1.1 noro 1993:
1994: for ( dd = 0, e = d1; e; e = d3 ) {
1995: if ( !(d2 = NEXT(e)) ) {
1996: NEXT(e) = dd;
1997: return e;
1998: }
1.34 noro 1999: id = LCM(e);
1.1 noro 2000: for ( d3 = 0; d2; d2 = p ) {
1.34 noro 2001: p = NEXT(d2);
2002: jd = LCM(d2);
2003: if ( ndl_equal(jd,id) )
2004: ;
2005: else if ( TD(jd) > TD(id) )
1.1 noro 2006: if ( ndl_reducible(jd,id) ) continue;
2007: else ;
1.34 noro 2008: else if ( ndl_reducible(id,jd) ) goto delit;
1.1 noro 2009: NEXT(d2) = d3;
2010: d3 = d2;
2011: }
2012: NEXT(e) = dd;
2013: dd = e;
2014: continue;
2015: /**/
2016: delit: NEXT(d2) = d3;
2017: d3 = d2;
2018: for ( ; p; p = d2 ) {
2019: d2 = NEXT(p);
2020: NEXT(p) = d3;
2021: d3 = p;
2022: }
2023: FREENDP(e);
2024: }
2025: return dd;
2026: }
2027:
2028: ND_pairs crit_F( ND_pairs d1 )
2029: {
2030: ND_pairs rest, head,remove;
2031: ND_pairs last, p, r, w;
2032: int s;
2033:
2034: for ( head = last = 0, p = d1; NEXT(p); ) {
2035: r = w = equivalent_pairs(p,&rest);
1.14 noro 2036: s = SG(r);
1.1 noro 2037: w = NEXT(w);
2038: while ( w ) {
2039: if ( crit_2(w->i1,w->i2) ) {
2040: r = w;
2041: w = NEXT(w);
2042: while ( w ) {
2043: remove = w;
2044: w = NEXT(w);
2045: FREENDP(remove);
2046: }
2047: break;
1.14 noro 2048: } else if ( SG(w) < s ) {
1.1 noro 2049: FREENDP(r);
2050: r = w;
1.14 noro 2051: s = SG(r);
1.1 noro 2052: w = NEXT(w);
2053: } else {
2054: remove = w;
2055: w = NEXT(w);
2056: FREENDP(remove);
2057: }
2058: }
2059: if ( last ) NEXT(last) = r;
2060: else head = r;
2061: NEXT(last = r) = 0;
2062: p = rest;
2063: if ( !p ) return head;
2064: }
2065: if ( !last ) return p;
2066: NEXT(last) = p;
2067: return head;
2068: }
2069:
2070: int crit_2( int dp1, int dp2 )
2071: {
1.20 noro 2072: return ndl_disjoint(DL(nd_psh[dp1]),DL(nd_psh[dp2]));
1.1 noro 2073: }
2074:
1.40 noro 2075: ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest )
1.1 noro 2076: {
2077: ND_pairs w,p,r,s;
1.61 noro 2078: UINT *d;
1.1 noro 2079:
2080: w = d1;
1.34 noro 2081: d = LCM(w);
1.1 noro 2082: s = NEXT(w);
2083: NEXT(w) = 0;
2084: for ( r = 0; s; s = p ) {
2085: p = NEXT(s);
1.34 noro 2086: if ( ndl_equal(d,LCM(s)) ) {
1.39 noro 2087: NEXT(s) = w; w = s;
1.1 noro 2088: } else {
1.39 noro 2089: NEXT(s) = r; r = s;
1.1 noro 2090: }
2091: }
2092: *prest = r;
2093: return w;
2094: }
2095:
2096: NODE update_base(NODE nd,int ndp)
2097: {
1.61 noro 2098: UINT *dl, *dln;
1.1 noro 2099: NODE last, p, head;
2100:
1.20 noro 2101: dl = DL(nd_psh[ndp]);
1.1 noro 2102: for ( head = last = 0, p = nd; p; ) {
1.20 noro 2103: dln = DL(nd_psh[(int)BDY(p)]);
1.34 noro 2104: if ( ndl_reducible( dln, dl ) ) {
1.1 noro 2105: p = NEXT(p);
2106: if ( last ) NEXT(last) = p;
2107: } else {
2108: if ( !last ) head = p;
2109: p = NEXT(last = p);
2110: }
2111: }
2112: head = append_one(head,ndp);
2113: return head;
2114: }
2115:
2116: ND_pairs nd_minp( ND_pairs d, ND_pairs *prest )
2117: {
2118: ND_pairs m,ml,p,l;
1.61 noro 2119: UINT *lcm;
1.33 noro 2120: int s,td,len,tlen,c,c1;
1.1 noro 2121:
2122: if ( !(p = NEXT(m = d)) ) {
2123: *prest = p;
2124: NEXT(m) = 0;
2125: return m;
2126: }
1.14 noro 2127: s = SG(m);
1.33 noro 2128: for ( ml = 0, l = m; p; p = NEXT(l = p) )
1.34 noro 2129: if ( (SG(p) < s)
2130: || ((SG(p) == s) && (DL_COMPARE(LCM(p),LCM(m)) < 0)) ) {
1.39 noro 2131: ml = l; m = p; s = SG(m);
1.1 noro 2132: }
2133: if ( !ml ) *prest = NEXT(m);
2134: else {
2135: NEXT(ml) = NEXT(m);
2136: *prest = d;
2137: }
2138: NEXT(m) = 0;
2139: return m;
2140: }
2141:
1.63 noro 2142: ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest )
2143: {
1.69 noro 2144: int msugar,i;
1.63 noro 2145: ND_pairs t,dm0,dm,dr0,dr;
2146:
2147: for ( msugar = SG(d), t = NEXT(d); t; t = NEXT(t) )
2148: if ( SG(t) < msugar ) msugar = SG(t);
2149: dm0 = 0; dr0 = 0;
1.69 noro 2150: for ( i = 0, t = d; t; t = NEXT(t) )
2151: if ( i < nd_f4_nsp && SG(t) == msugar ) {
1.63 noro 2152: if ( dm0 ) NEXT(dm) = t;
2153: else dm0 = t;
2154: dm = t;
1.69 noro 2155: i++;
1.63 noro 2156: } else {
2157: if ( dr0 ) NEXT(dr) = t;
2158: else dr0 = t;
2159: dr = t;
2160: }
2161: NEXT(dm) = 0;
2162: if ( dr0 ) NEXT(dr) = 0;
2163: *prest = dr0;
2164: return dm0;
2165: }
2166:
2167: int ndv_newps(NDV a,NDV aq)
1.1 noro 2168: {
1.3 noro 2169: int len;
1.13 noro 2170: RHist r;
1.20 noro 2171: NDV b;
1.3 noro 2172:
1.1 noro 2173: if ( nd_psn == nd_pslen ) {
2174: nd_pslen *= 2;
1.11 noro 2175: nd_ps = (NDV *)REALLOC((char *)nd_ps,nd_pslen*sizeof(NDV));
1.53 noro 2176: nd_ps_trace = (NDV *)REALLOC((char *)nd_ps_trace,nd_pslen*sizeof(NDV));
1.13 noro 2177: nd_psh = (RHist *)REALLOC((char *)nd_psh,nd_pslen*sizeof(RHist));
1.61 noro 2178: nd_bound = (UINT **)
2179: REALLOC((char *)nd_bound,nd_pslen*sizeof(UINT *));
1.1 noro 2180: }
1.39 noro 2181: NEWRHist(r); nd_psh[nd_psn] = r;
1.63 noro 2182: nd_ps[nd_psn] = a;
1.39 noro 2183: if ( aq ) {
1.63 noro 2184: nd_ps_trace[nd_psn] = aq;
2185: nd_bound[nd_psn] = ndv_compute_bound(aq);
1.39 noro 2186: SG(r) = SG(aq); ndl_copy(HDL(aq),DL(r));
1.53 noro 2187: } else {
1.63 noro 2188: nd_bound[nd_psn] = ndv_compute_bound(a);
1.53 noro 2189: SG(r) = SG(a); ndl_copy(HDL(a),DL(r));
1.39 noro 2190: }
1.1 noro 2191: return nd_psn++;
2192: }
2193:
1.61 noro 2194: void ndv_setup(int mod,int trace,NODE f)
1.1 noro 2195: {
1.5 noro 2196: int i,j,td,len,max;
1.1 noro 2197: NODE s,s0,f0;
1.61 noro 2198: UINT *d;
1.13 noro 2199: RHist r;
1.69 noro 2200: NDV *w;
1.61 noro 2201: NDV a,am;
1.11 noro 2202:
2203: nd_found = 0; nd_notfirst = 0; nd_create = 0;
1.1 noro 2204:
1.69 noro 2205: for ( nd_psn = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) nd_psn++;
2206: w = (NDV *)ALLOCA(nd_psn*sizeof(NDV));
2207: for ( i = 0, s = f; s; s = NEXT(s) ) if ( BDY(s) ) w[i++] = BDY(s);
2208: qsort(w,nd_psn,sizeof(NDV),
2209: (int (*)(const void *,const void *))ndv_compare);
2210: nd_pslen = 2*nd_psn;
1.11 noro 2211: nd_ps = (NDV *)MALLOC(nd_pslen*sizeof(NDV));
1.53 noro 2212: nd_ps_trace = (NDV *)MALLOC(nd_pslen*sizeof(NDV));
1.13 noro 2213: nd_psh = (RHist *)MALLOC(nd_pslen*sizeof(RHist));
1.61 noro 2214: nd_bound = (UINT **)MALLOC(nd_pslen*sizeof(UINT *));
1.57 noro 2215:
1.11 noro 2216: if ( !nd_red )
1.13 noro 2217: nd_red = (RHist *)MALLOC(REDTAB_LEN*sizeof(RHist));
1.71 noro 2218: for ( i = 0; i < REDTAB_LEN; i++ ) nd_red[i] = 0;
1.69 noro 2219: for ( i = 0; i < nd_psn; i++ ) {
1.39 noro 2220: if ( trace ) {
1.69 noro 2221: a = nd_ps_trace[i] = ndv_dup(0,w[i]);
1.61 noro 2222: ndv_removecont(0,a);
2223: am = nd_ps[i] = ndv_dup(mod,a);
2224: ndv_mod(mod,am);
2225: ndv_removecont(mod,am);
2226: } else {
1.69 noro 2227: a = nd_ps[i] = ndv_dup(mod,w[i]);
1.61 noro 2228: ndv_removecont(mod,a);
1.39 noro 2229: }
1.61 noro 2230: NEWRHist(r); SG(r) = HTD(a); ndl_copy(HDL(a),DL(r));
1.57 noro 2231: nd_bound[i] = ndv_compute_bound(a);
1.20 noro 2232: nd_psh[i] = r;
2233: }
2234: }
2235:
1.63 noro 2236: void nd_gr(LIST f,LIST v,int m,int f4,struct order_spec *ord,LIST *rp)
1.1 noro 2237: {
1.61 noro 2238: VL tv,fv,vv,vc;
1.1 noro 2239: NODE fd,fd0,r,r0,t,x,s,xx;
1.61 noro 2240: int e,max,nvar;
1.69 noro 2241: NDV b;
1.1 noro 2242:
2243: get_vars((Obj)f,&fv); pltovl(v,&vv);
1.61 noro 2244: nvar = length(vv);
1.32 noro 2245: nd_init_ord(ord);
1.61 noro 2246: for ( t = BDY(f), max = 0; t; t = NEXT(t) )
2247: for ( tv = vv; tv; tv = NEXT(tv) ) {
2248: e = getdeg(tv->v,(P)BDY(t));
2249: max = MAX(e,max);
2250: }
2251: nd_setup_parameters(nvar,max);
1.1 noro 2252: for ( fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
1.61 noro 2253: b = (pointer)ptondv(CO,vv,(P)BDY(t));
1.69 noro 2254: if ( m ) ndv_mod(m,b);
1.61 noro 2255: if ( b ) { NEXTNODE(fd0,fd); BDY(fd) = (pointer)b; }
1.1 noro 2256: }
2257: if ( fd0 ) NEXT(fd) = 0;
1.61 noro 2258: ndv_setup(m,0,fd0);
1.63 noro 2259: x = f4?nd_f4(m):nd_gb(m,0);
1.61 noro 2260: x = ndv_reducebase(x);
2261: x = ndv_reduceall(m,x);
1.23 noro 2262: for ( r0 = 0, t = x; t; t = NEXT(t) ) {
1.1 noro 2263: NEXTNODE(r0,r);
1.61 noro 2264: BDY(r) = ndvtop(m,CO,vv,BDY(t));
1.20 noro 2265: }
2266: if ( r0 ) NEXT(r) = 0;
2267: MKLIST(*rp,r0);
2268: }
2269:
1.52 noro 2270: void nd_gr_trace(LIST f,LIST v,int trace,int homo,struct order_spec *ord,LIST *rp)
1.20 noro 2271: {
2272: struct order_spec ord1;
1.61 noro 2273: VL tv,fv,vv,vc;
1.27 noro 2274: NODE fd,fd0,in0,in,r,r0,t,s,cand;
1.61 noro 2275: int m,nocheck,nvar,mindex,e,max;
2276: NDV c;
2277: NMV a;
1.27 noro 2278: P p;
1.61 noro 2279: EPOS oepos;
2280: int obpe,oadv,wmax,i,len,cbpe;
1.20 noro 2281:
2282: get_vars((Obj)f,&fv); pltovl(v,&vv);
1.52 noro 2283: nvar = length(vv);
2284: nocheck = 0;
2285: mindex = 0;
2286:
2287: /* setup modulus */
2288: if ( trace < 0 ) {
2289: trace = -trace;
2290: nocheck = 1;
2291: }
2292: m = trace > 1 ? trace : get_lprime(mindex);
1.61 noro 2293: for ( t = BDY(f), max = 0; t; t = NEXT(t) )
2294: for ( tv = vv; tv; tv = NEXT(tv) ) {
2295: e = getdeg(tv->v,(P)BDY(t));
2296: max = MAX(e,max);
1.23 noro 2297: }
1.61 noro 2298: nd_init_ord(ord);
2299: nd_setup_parameters(nvar,max);
2300: obpe = nd_bpe; oadv = nmv_adv; oepos = nd_epos;
2301: for ( in0 = 0, fd0 = 0, t = BDY(f); t; t = NEXT(t) ) {
2302: c = ptondv(CO,vv,(P)BDY(t));
2303: if ( c ) {
2304: NEXTNODE(in0,in); BDY(in) = (pointer)c;
2305: NEXTNODE(fd0,fd); BDY(fd) = (pointer)ndv_dup(0,c);
1.23 noro 2306: }
1.61 noro 2307: }
2308: if ( in0 ) NEXT(in) = 0;
2309: if ( fd0 ) NEXT(fd) = 0;
2310: if ( homo ) {
2311: for ( t = in0, wmax = 0; t; t = NEXT(t) ) {
2312: c = (NDV)BDY(t); len = LEN(c);
2313: for ( a = BDY(c), i = 0; i < len; i++, NMV_ADV(a) )
2314: wmax = MAX(TD(DL(a)),wmax);
2315: }
2316: homogenize_order(ord,nvar,&ord1);
2317: nd_init_ord(&ord1);
2318: nd_setup_parameters(nvar+1,wmax);
2319: for ( t = fd0; t; t = NEXT(t) )
2320: ndv_homogenize((NDV)BDY(t),obpe,oadv,oepos);
1.27 noro 2321: }
1.52 noro 2322: while ( 1 ) {
1.61 noro 2323: ndv_setup(m,1,fd0);
1.27 noro 2324: cand = nd_gb_trace(m);
1.52 noro 2325: if ( !cand ) {
2326: /* failure */
1.61 noro 2327: if ( trace > 1 ) { *rp = 0; return; }
2328: else m = get_lprime(++mindex);
1.52 noro 2329: continue;
2330: }
1.27 noro 2331: if ( homo ) {
2332: /* dehomogenization */
1.61 noro 2333: for ( t = cand; t; t = NEXT(t) ) ndv_dehomogenize((NDV)BDY(t),ord);
1.45 noro 2334: nd_init_ord(ord);
1.61 noro 2335: nd_setup_parameters(nvar,0);
1.27 noro 2336: }
1.61 noro 2337: cand = ndv_reducebase(cand);
2338: cand = ndv_reduceall(0,cand);
2339: if ( nocheck )
2340: break;
2341: cbpe = nd_bpe;
2342: if ( ndv_check_candidate(in0,obpe,oadv,oepos,cand) )
1.52 noro 2343: /* success */
2344: break;
2345: else if ( trace > 1 ) {
2346: /* failure */
2347: *rp = 0; return;
1.61 noro 2348: } else {
1.52 noro 2349: /* try the next modulus */
2350: m = get_lprime(++mindex);
1.61 noro 2351: /* reset the parameters */
2352: if ( homo ) {
2353: nd_init_ord(&ord1);
2354: nd_setup_parameters(nvar+1,wmax);
2355: } else {
2356: nd_init_ord(ord);
2357: nd_setup_parameters(nvar,max);
2358: }
2359: }
1.52 noro 2360: }
1.27 noro 2361: /* dp->p */
1.61 noro 2362: nd_bpe = cbpe;
1.73 ! noro 2363: nd_setup_parameters(nd_nvar,0);
1.61 noro 2364: for ( r = cand; r; r = NEXT(r) ) BDY(r) = (pointer)ndvtop(0,CO,vv,BDY(r));
1.27 noro 2365: MKLIST(*rp,cand);
1.1 noro 2366: }
2367:
1.61 noro 2368: void dltondl(int n,DL dl,UINT *r)
1.1 noro 2369: {
1.61 noro 2370: UINT *d;
1.57 noro 2371: int i,j,l,s,ord_l;
1.43 noro 2372: struct order_pair *op;
1.1 noro 2373:
2374: d = dl->d;
1.41 noro 2375: for ( i = 0; i < nd_wpd; i++ ) r[i] = 0;
1.43 noro 2376: if ( nd_blockmask ) {
2377: l = nd_blockmask->n;
2378: op = nd_blockmask->order_pair;
2379: for ( j = 0, s = 0; j < l; j++ ) {
2380: ord_l = op[j].length;
1.57 noro 2381: for ( i = 0; i < ord_l; i++, s++ ) PUT_EXP(r,s,d[s]);
1.43 noro 2382: }
2383: TD(r) = ndl_weight(r);
1.61 noro 2384: ndl_weight_mask(r);
1.43 noro 2385: } else {
1.56 noro 2386: for ( i = 0; i < n; i++ ) PUT_EXP(r,i,d[i]);
1.43 noro 2387: TD(r) = ndl_weight(r);
2388: }
1.1 noro 2389: }
2390:
1.61 noro 2391: DL ndltodl(int n,UINT *ndl)
1.1 noro 2392: {
2393: DL dl;
2394: int *d;
1.57 noro 2395: int i,j,l,s,ord_l;
1.43 noro 2396: struct order_pair *op;
1.1 noro 2397:
2398: NEWDL(dl,n);
1.34 noro 2399: dl->td = TD(ndl);
1.1 noro 2400: d = dl->d;
1.43 noro 2401: if ( nd_blockmask ) {
2402: l = nd_blockmask->n;
2403: op = nd_blockmask->order_pair;
2404: for ( j = 0, s = 0; j < l; j++ ) {
2405: ord_l = op[j].length;
1.57 noro 2406: for ( i = 0; i < ord_l; i++, s++ ) d[s] = GET_EXP(ndl,s);
1.43 noro 2407: }
2408: } else {
1.56 noro 2409: for ( i = 0; i < n; i++ ) d[i] = GET_EXP(ndl,i);
1.43 noro 2410: }
1.1 noro 2411: return dl;
2412: }
2413:
1.61 noro 2414: void ndl_print(UINT *dl)
1.1 noro 2415: {
2416: int n;
1.57 noro 2417: int i,j,l,ord_l,s,s0;
1.43 noro 2418: struct order_pair *op;
1.1 noro 2419:
2420: n = nd_nvar;
2421: printf("<<");
1.43 noro 2422: if ( nd_blockmask ) {
2423: l = nd_blockmask->n;
2424: op = nd_blockmask->order_pair;
2425: for ( j = 0, s = s0 = 0; j < l; j++ ) {
2426: ord_l = op[j].length;
1.57 noro 2427: for ( i = 0; i < ord_l; i++, s++ )
2428: printf(s==n-1?"%d":"%d,",GET_EXP(dl,s));
1.43 noro 2429: }
2430: } else {
1.56 noro 2431: for ( i = 0; i < n; i++ ) printf(i==n-1?"%d":"%d,",GET_EXP(dl,i));
1.43 noro 2432: }
1.1 noro 2433: printf(">>");
2434: }
2435:
2436: void nd_print(ND p)
2437: {
2438: NM m;
2439:
2440: if ( !p )
2441: printf("0\n");
2442: else {
2443: for ( m = BDY(p); m; m = NEXT(m) ) {
1.71 noro 2444: if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m)));
2445: else printf("+%d*",CM(m));
1.14 noro 2446: ndl_print(DL(m));
1.1 noro 2447: }
2448: printf("\n");
2449: }
2450: }
2451:
1.16 noro 2452: void nd_print_q(ND p)
2453: {
2454: NM m;
2455:
2456: if ( !p )
2457: printf("0\n");
2458: else {
2459: for ( m = BDY(p); m; m = NEXT(m) ) {
2460: printf("+");
2461: printexpr(CO,CQ(m));
2462: printf("*");
2463: ndl_print(DL(m));
2464: }
2465: printf("\n");
2466: }
2467: }
2468:
1.1 noro 2469: void ndp_print(ND_pairs d)
2470: {
2471: ND_pairs t;
2472:
1.34 noro 2473: for ( t = d; t; t = NEXT(t) ) printf("%d,%d ",t->i1,t->i2);
1.1 noro 2474: printf("\n");
2475: }
2476:
1.20 noro 2477: void nd_removecont(int mod,ND p)
1.16 noro 2478: {
2479: int i,n;
2480: Q *w;
2481: Q dvr,t;
2482: NM m;
1.21 noro 2483: struct oVECT v;
2484: N q,r;
1.16 noro 2485:
1.71 noro 2486: if ( mod == -1 ) nd_mul_c(mod,p,_invsf(HCM(p)));
2487: else if ( mod ) nd_mul_c(mod,p,invm(HCM(p),mod));
1.20 noro 2488: else {
2489: for ( m = BDY(p), n = 0; m; m = NEXT(m), n++ );
2490: w = (Q *)ALLOCA(n*sizeof(Q));
1.21 noro 2491: v.len = n;
2492: v.body = (pointer *)w;
1.34 noro 2493: for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) w[i] = CQ(m);
1.21 noro 2494: removecont_array(w,n);
2495: for ( m = BDY(p), i = 0; i < n; m = NEXT(m), i++ ) CQ(m) = w[i];
1.16 noro 2496: }
2497: }
2498:
1.21 noro 2499: void nd_removecont2(ND p1,ND p2)
2500: {
2501: int i,n1,n2,n;
2502: Q *w;
2503: Q dvr,t;
2504: NM m;
2505: struct oVECT v;
2506: N q,r;
2507:
2508: if ( !p1 ) {
2509: nd_removecont(0,p2); return;
2510: } else if ( !p2 ) {
2511: nd_removecont(0,p1); return;
2512: }
2513: n1 = nd_length(p1);
2514: n2 = nd_length(p2);
2515: n = n1+n2;
2516: w = (Q *)ALLOCA(n*sizeof(Q));
2517: v.len = n;
2518: v.body = (pointer *)w;
1.34 noro 2519: for ( m = BDY(p1), i = 0; i < n1; m = NEXT(m), i++ ) w[i] = CQ(m);
2520: for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) w[i] = CQ(m);
1.21 noro 2521: removecont_array(w,n);
2522: for ( m = BDY(p1), i = 0; i < n1; m = NEXT(m), i++ ) CQ(m) = w[i];
2523: for ( m = BDY(p2); i < n; m = NEXT(m), i++ ) CQ(m) = w[i];
2524: }
2525:
1.20 noro 2526: void ndv_removecont(int mod,NDV p)
1.16 noro 2527: {
2528: int i,len;
2529: Q *w;
2530: Q dvr,t;
2531: NMV m;
2532:
1.71 noro 2533: if ( mod == -1 )
2534: ndv_mul_c(mod,p,_invsf(HCM(p)));
2535: else if ( mod )
1.20 noro 2536: ndv_mul_c(mod,p,invm(HCM(p),mod));
2537: else {
2538: len = p->len;
2539: w = (Q *)ALLOCA(len*sizeof(Q));
1.34 noro 2540: for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) w[i] = CQ(m);
1.20 noro 2541: sortbynm(w,len);
2542: qltozl(w,len,&dvr);
2543: for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ ) {
2544: divq(CQ(m),dvr,&t); CQ(m) = t;
2545: }
1.16 noro 2546: }
1.21 noro 2547: }
2548:
1.61 noro 2549: void ndv_homogenize(NDV p,int obpe,int oadv,EPOS oepos)
2550: {
2551: int len,i,max;
2552: NMV m,mr0,mr,t;
2553:
2554: len = p->len;
2555: for ( m = BDY(p), i = 0, max = 0; i < len; NMV_OADV(m), i++ )
2556: max = MAX(max,TD(DL(m)));
2557: mr0 = nmv_adv>oadv?(NMV)REALLOC(BDY(p),len*nmv_adv):BDY(p);
2558: m = (NMV)((char *)mr0+(len-1)*oadv);
2559: mr = (NMV)((char *)mr0+(len-1)*nmv_adv);
2560: t = (NMV)ALLOCA(nmv_adv);
2561: for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) {
2562: ndl_homogenize(DL(m),DL(t),obpe,oepos,max);
2563: CQ(mr) = CQ(m);
2564: ndl_copy(DL(t),DL(mr));
2565: }
2566: NV(p)++;
2567: BDY(p) = mr0;
2568: }
2569:
1.45 noro 2570: void ndv_dehomogenize(NDV p,struct order_spec *ord)
1.23 noro 2571: {
1.45 noro 2572: int i,j,adj,len,newnvar,newwpd,newadv,newexporigin;
1.23 noro 2573: Q *w;
2574: Q dvr,t;
2575: NMV m,r;
2576:
2577: len = p->len;
2578: newnvar = nd_nvar-1;
1.48 noro 2579: newexporigin = nd_get_exporigin(ord);
1.45 noro 2580: newwpd = newnvar/nd_epw+(newnvar%nd_epw?1:0)+newexporigin;
1.23 noro 2581: for ( m = BDY(p), i = 0; i < len; NMV_ADV(m), i++ )
1.34 noro 2582: ndl_dehomogenize(DL(m));
1.23 noro 2583: if ( newwpd != nd_wpd ) {
1.61 noro 2584: newadv = sizeof(struct oNMV)+(newwpd-1)*sizeof(UINT);
2585: for ( m = r = BDY(p), i = 0; i < len; NMV_ADV(m), NDV_NADV(r), i++ ) {
1.45 noro 2586: CQ(r) = CQ(m);
2587: for ( j = 0; j < newexporigin; j++ ) DL(r)[j] = DL(m)[j];
2588: adj = nd_exporigin-newexporigin;
2589: for ( ; j < newwpd; j++ ) DL(r)[j] = DL(m)[j+adj];
1.23 noro 2590: }
2591: }
2592: NV(p)--;
2593: }
2594:
1.21 noro 2595: void removecont_array(Q *c,int n)
2596: {
2597: struct oVECT v;
2598: Q d0,d1,a,u,u1,gcd;
2599: int i;
2600: N qn,rn,gn;
2601: Q *q,*r;
2602:
2603: q = (Q *)ALLOCA(n*sizeof(Q));
2604: r = (Q *)ALLOCA(n*sizeof(Q));
2605: v.id = O_VECT; v.len = n; v.body = (pointer *)c;
2606: igcdv_estimate(&v,&d0);
2607: for ( i = 0; i < n; i++ ) {
2608: divn(NM(c[i]),NM(d0),&qn,&rn);
2609: NTOQ(qn,SGN(c[i])*SGN(d0),q[i]);
2610: NTOQ(rn,SGN(c[i]),r[i]);
2611: }
1.34 noro 2612: for ( i = 0; i < n; i++ ) if ( r[i] ) break;
1.21 noro 2613: if ( i < n ) {
2614: v.id = O_VECT; v.len = n; v.body = (pointer *)r;
2615: igcdv(&v,&d1);
2616: gcdn(NM(d0),NM(d1),&gn); NTOQ(gn,1,gcd);
2617: divsn(NM(d0),gn,&qn); NTOQ(qn,1,a);
2618: for ( i = 0; i < n; i++ ) {
2619: mulq(a,q[i],&u);
2620: if ( r[i] ) {
2621: divsn(NM(r[i]),gn,&qn); NTOQ(qn,SGN(r[i]),u1);
2622: addq(u,u1,&q[i]);
2623: } else
2624: q[i] = u;
2625: }
2626: }
1.34 noro 2627: for ( i = 0; i < n; i++ ) c[i] = q[i];
1.16 noro 2628: }
2629:
1.19 noro 2630: void nd_mul_c(int mod,ND p,int mul)
1.1 noro 2631: {
2632: NM m;
2633: int c,c1;
2634:
1.34 noro 2635: if ( !p ) return;
1.71 noro 2636: if ( mod == -1 )
2637: for ( m = BDY(p); m; m = NEXT(m) )
2638: CM(m) = _mulsf(CM(m),mul);
2639: else
2640: for ( m = BDY(p); m; m = NEXT(m) ) {
2641: c1 = CM(m); DMAR(c1,mul,0,mod,c); CM(m) = c;
2642: }
1.1 noro 2643: }
2644:
1.16 noro 2645: void nd_mul_c_q(ND p,Q mul)
2646: {
2647: NM m;
2648: Q c;
2649:
1.34 noro 2650: if ( !p ) return;
1.16 noro 2651: for ( m = BDY(p); m; m = NEXT(m) ) {
2652: mulq(CQ(m),mul,&c); CQ(m) = c;
2653: }
2654: }
2655:
1.61 noro 2656: void nd_mul_c_p(VL vl,ND p,P mul)
2657: {
2658: NM m;
2659: P c;
2660:
2661: if ( !p ) return;
2662: for ( m = BDY(p); m; m = NEXT(m) ) {
2663: mulp(vl,CP(m),mul,&c); CP(m) = c;
2664: }
2665: }
2666:
1.1 noro 2667: void nd_free(ND p)
2668: {
2669: NM t,s;
2670:
1.34 noro 2671: if ( !p ) return;
1.1 noro 2672: t = BDY(p);
2673: while ( t ) {
2674: s = NEXT(t);
2675: FREENM(t);
2676: t = s;
2677: }
2678: FREEND(p);
2679: }
2680:
1.23 noro 2681: void ndv_free(NDV p)
2682: {
2683: GC_free(BDY(p));
2684: }
2685:
1.61 noro 2686: void nd_append_red(UINT *d,int i)
1.1 noro 2687: {
1.13 noro 2688: RHist m,m0;
1.1 noro 2689: int h;
2690:
1.13 noro 2691: NEWRHist(m);
1.34 noro 2692: h = ndl_hash_value(d);
1.13 noro 2693: m->index = i;
1.14 noro 2694: ndl_copy(d,DL(m));
1.1 noro 2695: NEXT(m) = nd_red[h];
2696: nd_red[h] = m;
2697: }
2698:
1.61 noro 2699: UINT *ndv_compute_bound(NDV p)
1.1 noro 2700: {
1.61 noro 2701: UINT *d1,*d2,*t;
2702: UINT u;
1.57 noro 2703: int i,j,k,l,len,ind;
1.45 noro 2704: NMV m;
1.1 noro 2705:
2706: if ( !p )
2707: return 0;
1.61 noro 2708: d1 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
2709: d2 = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
1.45 noro 2710: len = LEN(p);
2711: m = BDY(p); ndl_copy(DL(m),d1); NMV_ADV(m);
2712: for ( i = 1; i < len; i++, NMV_ADV(m) ) {
1.14 noro 2713: ndl_lcm(DL(m),d1,d2);
1.1 noro 2714: t = d1; d1 = d2; d2 = t;
2715: }
1.12 noro 2716: l = nd_nvar+31;
1.61 noro 2717: t = (UINT *)MALLOC_ATOMIC(l*sizeof(UINT));
1.57 noro 2718: for ( i = nd_exporigin, ind = 0; i < nd_wpd; i++ ) {
2719: u = d1[i];
2720: k = (nd_epw-1)*nd_bpe;
2721: for ( j = 0; j < nd_epw; j++, k -= nd_bpe, ind++ )
2722: t[ind] = (u>>k)&nd_mask0;
2723: }
2724: for ( ; ind < l; ind++ ) t[ind] = 0;
1.1 noro 2725: return t;
2726: }
2727:
1.48 noro 2728: int nd_get_exporigin(struct order_spec *ord)
2729: {
1.51 noro 2730: switch ( ord->id ) {
1.41 noro 2731: case 0:
1.48 noro 2732: return 1;
1.41 noro 2733: case 1:
2734: /* block order */
1.43 noro 2735: /* d[0]:weight d[1]:w0,...,d[nd_exporigin-1]:w(n-1) */
1.48 noro 2736: return ord->ord.block.length+1;
1.41 noro 2737: case 2:
1.52 noro 2738: error("nd_get_exporigin : matrix order is not supported yet.");
1.41 noro 2739: }
1.48 noro 2740: }
2741:
1.61 noro 2742: void nd_setup_parameters(int nvar,int max) {
1.57 noro 2743: int i,j,n,elen,ord_o,ord_l,l,s;
2744: struct order_pair *op;
1.73 ! noro 2745: int bpe;
1.48 noro 2746:
1.73 ! noro 2747: if ( !max ) bpe = nd_bpe;
! 2748: else if ( max < 2 ) bpe = 1;
! 2749: else if ( max < 4 ) bpe = 2;
! 2750: else if ( max < 8 ) bpe = 3;
! 2751: else if ( max < 16 ) bpe = 4;
! 2752: else if ( max < 32 ) bpe = 5;
! 2753: else if ( max < 64 ) bpe = 6;
! 2754: else if ( max < 256 ) bpe = 8;
! 2755: else if ( max < 1024 ) bpe = 10;
! 2756: else if ( max < 65536 ) bpe = 16;
! 2757: else bpe = 32;
! 2758: if ( bpe != nd_bpe || nvar != nd_nvar )
! 2759: nd_free_private_storage();
! 2760: nd_bpe = bpe;
! 2761: nd_nvar = nvar;
1.61 noro 2762: nd_epw = (sizeof(UINT)*8)/nd_bpe;
1.48 noro 2763: elen = nd_nvar/nd_epw+(nd_nvar%nd_epw?1:0);
2764:
2765: nd_exporigin = nd_get_exporigin(nd_ord);
1.43 noro 2766: nd_wpd = nd_exporigin+elen;
1.57 noro 2767:
1.1 noro 2768: if ( nd_bpe < 32 ) {
2769: nd_mask0 = (1<<nd_bpe)-1;
2770: } else {
2771: nd_mask0 = 0xffffffff;
2772: }
2773: bzero(nd_mask,sizeof(nd_mask));
2774: nd_mask1 = 0;
2775: for ( i = 0; i < nd_epw; i++ ) {
2776: nd_mask[nd_epw-i-1] = (nd_mask0<<(i*nd_bpe));
2777: nd_mask1 |= (1<<(nd_bpe-1))<<(i*nd_bpe);
2778: }
1.61 noro 2779: nm_adv = sizeof(struct oNM)+(nd_wpd-1)*sizeof(UINT);
2780: nmv_adv = sizeof(struct oNMV)+(nd_wpd-1)*sizeof(UINT);
1.57 noro 2781: nd_epos = nd_create_epos(nd_ord);
1.43 noro 2782: nd_blockmask = nd_create_blockmask(nd_ord);
1.1 noro 2783: }
2784:
1.20 noro 2785: ND_pairs nd_reconstruct(int mod,int trace,ND_pairs d)
1.1 noro 2786: {
1.37 noro 2787: int i,obpe,oadv,h;
1.71 noro 2788: static NM prev_nm_free_list;
2789: static ND_pairs prev_ndp_free_list;
1.13 noro 2790: RHist mr0,mr;
2791: RHist r;
1.37 noro 2792: RHist *old_red;
1.71 noro 2793: ND_pairs s0,s,t;
1.43 noro 2794: EPOS oepos;
1.15 noro 2795:
1.1 noro 2796: obpe = nd_bpe;
1.11 noro 2797: oadv = nmv_adv;
1.43 noro 2798: oepos = nd_epos;
1.63 noro 2799: if ( obpe < 2 ) nd_bpe = 2;
2800: else if ( obpe < 3 ) nd_bpe = 3;
1.62 noro 2801: else if ( obpe < 4 ) nd_bpe = 4;
1.63 noro 2802: else if ( obpe < 5 ) nd_bpe = 5;
1.34 noro 2803: else if ( obpe < 6 ) nd_bpe = 6;
2804: else if ( obpe < 8 ) nd_bpe = 8;
1.63 noro 2805: else if ( obpe < 10 ) nd_bpe = 10;
1.34 noro 2806: else if ( obpe < 16 ) nd_bpe = 16;
2807: else if ( obpe < 32 ) nd_bpe = 32;
2808: else error("nd_reconstruct : exponent too large");
1.5 noro 2809:
1.73 ! noro 2810: nd_setup_parameters(nd_nvar,0);
1.1 noro 2811: prev_nm_free_list = _nm_free_list;
2812: prev_ndp_free_list = _ndp_free_list;
2813: _nm_free_list = 0;
2814: _ndp_free_list = 0;
1.53 noro 2815: for ( i = nd_psn-1; i >= 0; i-- ) ndv_realloc(nd_ps[i],obpe,oadv,oepos);
2816: if ( trace )
2817: for ( i = nd_psn-1; i >= 0; i-- )
2818: ndv_realloc(nd_ps_trace[i],obpe,oadv,oepos);
1.1 noro 2819: s0 = 0;
2820: for ( t = d; t; t = NEXT(t) ) {
2821: NEXTND_pairs(s0,s);
2822: s->i1 = t->i1;
2823: s->i2 = t->i2;
1.14 noro 2824: SG(s) = SG(t);
1.61 noro 2825: ndl_reconstruct(LCM(t),LCM(s),obpe,oepos);
1.1 noro 2826: }
1.37 noro 2827:
2828: old_red = (RHist *)ALLOCA(REDTAB_LEN*sizeof(RHist));
1.6 noro 2829: for ( i = 0; i < REDTAB_LEN; i++ ) {
1.37 noro 2830: old_red[i] = nd_red[i];
2831: nd_red[i] = 0;
2832: }
2833: for ( i = 0; i < REDTAB_LEN; i++ )
2834: for ( r = old_red[i]; r; r = NEXT(r) ) {
2835: NEWRHist(mr);
1.13 noro 2836: mr->index = r->index;
1.20 noro 2837: SG(mr) = SG(r);
1.61 noro 2838: ndl_reconstruct(DL(r),DL(mr),obpe,oepos);
1.37 noro 2839: h = ndl_hash_value(DL(mr));
2840: NEXT(mr) = nd_red[h];
2841: nd_red[h] = mr;
1.6 noro 2842: }
1.37 noro 2843: for ( i = 0; i < REDTAB_LEN; i++ ) old_red[i] = 0;
2844: old_red = 0;
1.11 noro 2845: for ( i = 0; i < nd_psn; i++ ) {
1.20 noro 2846: NEWRHist(r); SG(r) = SG(nd_psh[i]);
1.61 noro 2847: ndl_reconstruct(DL(nd_psh[i]),DL(r),obpe,oepos);
1.13 noro 2848: nd_psh[i] = r;
1.11 noro 2849: }
1.1 noro 2850: if ( s0 ) NEXT(s) = 0;
2851: prev_nm_free_list = 0;
2852: prev_ndp_free_list = 0;
1.71 noro 2853: #if 0
1.1 noro 2854: GC_gcollect();
1.71 noro 2855: #endif
1.1 noro 2856: return s0;
2857: }
2858:
1.61 noro 2859: void ndl_reconstruct(UINT *d,UINT *r,int obpe,EPOS oepos)
1.1 noro 2860: {
1.57 noro 2861: int n,i,ei,oepw,omask0,j,s,ord_l,l;
1.43 noro 2862: struct order_pair *op;
1.1 noro 2863:
2864: n = nd_nvar;
1.61 noro 2865: oepw = (sizeof(UINT)*8)/obpe;
1.43 noro 2866: omask0 = (1<<obpe)-1;
1.34 noro 2867: TD(r) = TD(d);
1.41 noro 2868: for ( i = nd_exporigin; i < nd_wpd; i++ ) r[i] = 0;
1.43 noro 2869: if ( nd_blockmask ) {
2870: l = nd_blockmask->n;
2871: op = nd_blockmask->order_pair;
2872: for ( i = 1; i < nd_exporigin; i++ )
2873: r[i] = d[i];
2874: for ( j = 0, s = 0; j < l; j++ ) {
2875: ord_l = op[j].length;
1.57 noro 2876: for ( i = 0; i < ord_l; i++, s++ ) {
2877: ei = GET_EXP_OLD(d,s);
2878: PUT_EXP(r,s,ei);
2879: }
1.1 noro 2880: }
1.43 noro 2881: } else {
1.56 noro 2882: for ( i = 0; i < n; i++ ) {
2883: ei = GET_EXP_OLD(d,i);
2884: PUT_EXP(r,i,ei);
2885: }
1.1 noro 2886: }
2887: }
1.3 noro 2888:
1.6 noro 2889: ND nd_copy(ND p)
2890: {
2891: NM m,mr,mr0;
1.41 noro 2892: int c,n;
1.6 noro 2893: ND r;
2894:
2895: if ( !p )
2896: return 0;
2897: else {
2898: for ( mr0 = 0, m = BDY(p); m; m = NEXT(m) ) {
2899: NEXTNM(mr0,mr);
1.14 noro 2900: CM(mr) = CM(m);
2901: ndl_copy(DL(m),DL(mr));
1.6 noro 2902: }
2903: NEXT(mr) = 0;
1.31 noro 2904: MKND(NV(p),mr0,LEN(p),r);
1.14 noro 2905: SG(r) = SG(p);
1.6 noro 2906: return r;
2907: }
2908: }
2909:
1.53 noro 2910: int nd_sp(int mod,int trace,ND_pairs p,ND *rp)
1.11 noro 2911: {
2912: NM m;
2913: NDV p1,p2;
2914: ND t1,t2;
1.61 noro 2915: UINT *lcm;
1.31 noro 2916: int td;
1.11 noro 2917:
1.53 noro 2918: if ( trace ) {
2919: p1 = nd_ps_trace[p->i1]; p2 = nd_ps_trace[p->i2];
2920: } else {
1.20 noro 2921: p1 = nd_ps[p->i1]; p2 = nd_ps[p->i2];
2922: }
1.34 noro 2923: lcm = LCM(p);
1.11 noro 2924: NEWNM(m);
1.20 noro 2925: CQ(m) = HCQ(p2);
1.34 noro 2926: ndl_sub(lcm,HDL(p1),DL(m));
1.56 noro 2927: if ( ndl_check_bound2(p->i1,DL(m)) )
2928: return 0;
1.55 noro 2929: t1 = ndv_mul_nm(mod,m,p1);
1.71 noro 2930: if ( mod == -1 ) CM(m) = _chsgnsf(HCM(p1));
2931: else if ( mod ) CM(m) = mod-HCM(p1);
1.34 noro 2932: else chsgnq(HCQ(p1),&CQ(m));
2933: ndl_sub(lcm,HDL(p2),DL(m));
1.14 noro 2934: if ( ndl_check_bound2(p->i2,DL(m)) ) {
1.11 noro 2935: nd_free(t1);
2936: return 0;
2937: }
1.55 noro 2938: t2 = ndv_mul_nm(mod,m,p2);
1.31 noro 2939: *rp = nd_add(mod,t1,t2);
1.11 noro 2940: FREENM(m);
2941: return 1;
2942: }
2943:
1.19 noro 2944: void ndv_mul_c(int mod,NDV p,int mul)
1.11 noro 2945: {
2946: NMV m;
2947: int c,c1,len,i;
2948:
1.34 noro 2949: if ( !p ) return;
1.14 noro 2950: len = LEN(p);
1.71 noro 2951: if ( mod == -1 )
2952: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) )
2953: CM(m) = _mulsf(CM(m),mul);
2954: else
2955: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
2956: c1 = CM(m); DMAR(c1,mul,0,mod,c); CM(m) = c;
2957: }
1.11 noro 2958: }
2959:
1.16 noro 2960: void ndv_mul_c_q(NDV p,Q mul)
2961: {
2962: NMV m;
2963: Q c;
2964: int len,i;
2965:
1.34 noro 2966: if ( !p ) return;
1.16 noro 2967: len = LEN(p);
2968: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
2969: mulq(CQ(m),mul,&c); CQ(m) = c;
2970: }
2971: }
2972:
1.55 noro 2973: ND weyl_ndv_mul_nm(int mod,NM m0,NDV p) {
2974: int n2,i,j,l,n,tlen;
1.61 noro 2975: UINT *d0;
1.55 noro 2976: NM *tab,*psum;
2977: ND s,r;
2978: NM t;
2979: NMV m1;
2980:
2981: if ( !p ) return 0;
2982: n = NV(p); n2 = n>>1;
2983: d0 = DL(m0);
2984: l = LEN(p);
2985: for ( i = 0, tlen = 1; i < n2; i++ ) tlen *= (GET_EXP(d0,n2+i)+1);
2986: tab = (NM *)ALLOCA(tlen*sizeof(NM));
2987: psum = (NM *)ALLOCA(tlen*sizeof(NM));
2988: for ( i = 0; i < tlen; i++ ) psum[i] = 0;
1.56 noro 2989: m1 = (NMV)(((char *)BDY(p))+nmv_adv*(l-1));
2990: for ( i = l-1; i >= 0; i--, NMV_PREV(m1) ) {
1.55 noro 2991: /* m0(NM) * m1(NMV) => tab(NM) */
1.56 noro 2992: weyl_mul_nm_nmv(n,mod,m0,m1,tab,tlen);
1.55 noro 2993: for ( j = 0; j < tlen; j++ ) {
2994: if ( tab[j] ) {
2995: NEXT(tab[j]) = psum[j]; psum[j] = tab[j];
2996: }
2997: }
2998: }
2999: for ( i = tlen-1, r = 0; i >= 0; i-- )
3000: if ( psum[i] ) {
3001: for ( j = 0, t = psum[i]; t; t = NEXT(t), j++ );
3002: MKND(n,psum[i],j,s);
3003: r = nd_add(mod,r,s);
3004: }
1.56 noro 3005: if ( r ) SG(r) = SG(p)+TD(d0);
3006: return r;
1.55 noro 3007: }
3008:
1.56 noro 3009: /* product of monomials */
3010: /* XXX block order is not handled correctly */
3011:
1.55 noro 3012: void weyl_mul_nm_nmv(int n,int mod,NM m0,NMV m1,NM *tab,int tlen)
3013: {
1.56 noro 3014: int i,n2,j,s,curlen,homo,h,a,b,k,l,u,min;
1.61 noro 3015: UINT *d0,*d1,*d,*dt,*ctab;
1.56 noro 3016: Q *ctab_q;
3017: Q q,q1;
1.61 noro 3018: UINT c0,c1,c;
1.55 noro 3019: NM *p;
3020: NM m,t;
3021:
3022: for ( i = 0; i < tlen; i++ ) tab[i] = 0;
3023: if ( !m0 || !m1 ) return;
3024: d0 = DL(m0); d1 = DL(m1); n2 = n>>1;
3025: NEWNM(m); d = DL(m);
1.56 noro 3026: if ( mod ) {
3027: c0 = CM(m0); c1 = CM(m1); DMAR(c0,c1,0,mod,c); CM(m) = c;
3028: } else
3029: mulq(CQ(m0),CQ(m1),&CQ(m));
1.55 noro 3030: for ( i = 0; i < nd_wpd; i++ ) d[i] = 0;
3031: homo = n&1 ? 1 : 0;
3032: if ( homo ) {
3033: /* offset of h-degree */
3034: h = GET_EXP(d0,n-1)+GET_EXP(d1,n-1);
3035: PUT_EXP(DL(m),n-1,h);
3036: TD(DL(m)) = h;
1.61 noro 3037: if ( nd_blockmask ) ndl_weight_mask(DL(m));
1.55 noro 3038: }
3039: tab[0] = m;
3040: NEWNM(m); d = DL(m);
1.57 noro 3041: for ( i = 0, curlen = 1; i < n2; i++ ) {
1.55 noro 3042: a = GET_EXP(d0,i); b = GET_EXP(d1,n2+i);
3043: k = GET_EXP(d0,n2+i); l = GET_EXP(d1,i);
3044: /* xi^a*(Di^k*xi^l)*Di^b */
3045: a += l; b += k;
1.56 noro 3046: s = MUL_WEIGHT(a,i)+MUL_WEIGHT(b,n2+i);
1.55 noro 3047: if ( !k || !l ) {
3048: for ( j = 0; j < curlen; j++ )
1.56 noro 3049: if ( t = tab[j] ) {
3050: dt = DL(t);
3051: PUT_EXP(dt,i,a); PUT_EXP(dt,n2+i,b); TD(dt) += s;
1.61 noro 3052: if ( nd_blockmask ) ndl_weight_mask(dt);
1.55 noro 3053: }
3054: curlen *= k+1;
3055: continue;
3056: }
3057: min = MIN(k,l);
1.56 noro 3058: if ( mod ) {
1.61 noro 3059: ctab = (UINT *)ALLOCA((min+1)*sizeof(UINT));
1.56 noro 3060: mkwcm(k,l,mod,ctab);
3061: } else {
3062: ctab_q = (Q *)ALLOCA((min+1)*sizeof(Q));
3063: mkwc(k,l,ctab_q);
3064: }
1.57 noro 3065: for ( j = min; j >= 0; j-- ) {
1.56 noro 3066: for ( u = 0; u < nd_wpd; u++ ) d[u] = 0;
1.55 noro 3067: PUT_EXP(d,i,a-j); PUT_EXP(d,n2+i,b-j);
1.56 noro 3068: h = MUL_WEIGHT(a-j,i)+MUL_WEIGHT(b-j,n2+i);
1.55 noro 3069: if ( homo ) {
3070: TD(d) = s;
1.56 noro 3071: PUT_EXP(d,n-1,s-h);
1.55 noro 3072: } else TD(d) = h;
1.61 noro 3073: if ( nd_blockmask ) ndl_weight_mask(d);
1.56 noro 3074: if ( mod ) c = ctab[j];
3075: else q = ctab_q[j];
1.57 noro 3076: p = tab+curlen*j;
3077: if ( j == 0 ) {
3078: for ( u = 0; u < curlen; u++, p++ ) {
3079: if ( tab[u] ) {
3080: ndl_addto(DL(tab[u]),d);
3081: if ( mod ) {
3082: c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(tab[u]) = c1;
3083: } else {
3084: mulq(CQ(tab[u]),q,&q1); CQ(tab[u]) = q1;
3085: }
3086: }
1.56 noro 3087: }
1.57 noro 3088: } else {
3089: for ( u = 0; u < curlen; u++, p++ ) {
3090: if ( tab[u] ) {
3091: NEWNM(t);
3092: ndl_add(DL(tab[u]),d,DL(t));
3093: if ( mod ) {
3094: c0 = CM(tab[u]); DMAR(c0,c,0,mod,c1); CM(t) = c1;
3095: } else
3096: mulq(CQ(tab[u]),q,&CQ(t));
3097: *p = t;
3098: }
1.55 noro 3099: }
3100: }
3101: }
3102: curlen *= k+1;
3103: }
3104: FREENM(m);
3105: }
3106:
1.63 noro 3107: ND ndv_mul_nm_symbolic(NM m0,NDV p)
3108: {
3109: NM mr,mr0;
3110: NMV m;
3111: UINT *d,*dt,*dm;
3112: int c,n,td,i,c1,c2,len;
3113: Q q;
3114: ND r;
3115:
3116: if ( !p ) return 0;
3117: else {
3118: n = NV(p); m = BDY(p);
3119: d = DL(m0);
3120: len = LEN(p);
3121: mr0 = 0;
3122: td = TD(d);
3123: c = CM(m0);
3124: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
3125: NEXTNM(mr0,mr);
3126: CM(mr) = 1;
3127: ndl_add(DL(m),d,DL(mr));
3128: }
3129: NEXT(mr) = 0;
3130: MKND(NV(p),mr0,len,r);
3131: SG(r) = SG(p) + TD(d);
3132: return r;
3133: }
3134: }
3135:
1.55 noro 3136: ND ndv_mul_nm(int mod,NM m0,NDV p)
1.9 noro 3137: {
3138: NM mr,mr0;
3139: NMV m;
1.61 noro 3140: UINT *d,*dt,*dm;
1.9 noro 3141: int c,n,td,i,c1,c2,len;
1.16 noro 3142: Q q;
1.9 noro 3143: ND r;
3144:
1.34 noro 3145: if ( !p ) return 0;
1.55 noro 3146: else if ( do_weyl )
1.71 noro 3147: if ( mod == -1 )
3148: error("ndv_mul_nm : not implemented (weyl)");
3149: else
3150: return weyl_ndv_mul_nm(mod,m0,p);
1.9 noro 3151: else {
3152: n = NV(p); m = BDY(p);
1.34 noro 3153: d = DL(m0);
1.14 noro 3154: len = LEN(p);
1.9 noro 3155: mr0 = 0;
1.34 noro 3156: td = TD(d);
1.71 noro 3157: if ( mod == -1 ) {
3158: c = CM(m0);
3159: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
3160: NEXTNM(mr0,mr);
3161: CM(mr) = _mulsf(CM(m),c);
3162: ndl_add(DL(m),d,DL(mr));
3163: }
3164: } else if ( mod ) {
1.16 noro 3165: c = CM(m0);
3166: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
3167: NEXTNM(mr0,mr);
3168: c1 = CM(m);
1.19 noro 3169: DMAR(c1,c,0,mod,c2);
1.16 noro 3170: CM(mr) = c2;
3171: ndl_add(DL(m),d,DL(mr));
3172: }
3173: } else {
3174: q = CQ(m0);
3175: for ( i = 0; i < len; i++, NMV_ADV(m) ) {
3176: NEXTNM(mr0,mr);
3177: mulq(CQ(m),q,&CQ(mr));
3178: ndl_add(DL(m),d,DL(mr));
3179: }
1.4 noro 3180: }
1.9 noro 3181: NEXT(mr) = 0;
1.31 noro 3182: MKND(NV(p),mr0,len,r);
1.34 noro 3183: SG(r) = SG(p) + TD(d);
1.9 noro 3184: return r;
1.4 noro 3185: }
3186: }
3187:
1.43 noro 3188: void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos)
1.11 noro 3189: {
1.13 noro 3190: NMV m,mr,mr0,t;
3191: int len,i,k;
1.11 noro 3192:
1.61 noro 3193: if ( !p ) return;
3194: m = BDY(p); len = LEN(p);
3195: mr0 = nmv_adv>oadv?(NMV)REALLOC(BDY(p),len*nmv_adv):BDY(p);
3196: m = (NMV)((char *)mr0+(len-1)*oadv);
3197: mr = (NMV)((char *)mr0+(len-1)*nmv_adv);
3198: t = (NMV)ALLOCA(nmv_adv);
3199: for ( i = 0; i < len; i++, NMV_OPREV(m), NMV_PREV(mr) ) {
3200: CQ(t) = CQ(m);
3201: for ( k = 0; k < nd_wpd; k++ ) DL(t)[k] = 0;
3202: ndl_reconstruct(DL(m),DL(t),obpe,oepos);
3203: CQ(mr) = CQ(t);
3204: ndl_copy(DL(t),DL(mr));
3205: }
3206: BDY(p) = mr0;
3207: }
3208:
3209: NDV ndv_dup_realloc(NDV p,int obpe,int oadv,EPOS oepos)
3210: {
3211: NMV m,mr,mr0;
3212: int len,i;
3213: NDV r;
1.11 noro 3214:
1.61 noro 3215: if ( !p ) return 0;
3216: m = BDY(p); len = LEN(p);
3217: mr0 = mr = (NMV)MALLOC(len*nmv_adv);
3218: for ( i = 0; i < len; i++, NMV_OADV(m), NMV_ADV(mr) ) {
3219: ndl_zero(DL(mr));
3220: ndl_reconstruct(DL(m),DL(mr),obpe,oepos);
3221: CQ(mr) = CQ(m);
1.11 noro 3222: }
1.61 noro 3223: MKNDV(NV(p),mr0,len,r);
3224: SG(r) = SG(p);
3225: return r;
1.11 noro 3226: }
3227:
1.61 noro 3228: /* duplicate p */
3229:
3230: NDV ndv_dup(int mod,NDV p)
1.3 noro 3231: {
3232: NDV d;
1.61 noro 3233: NMV t,m,m0;
1.3 noro 3234: int i,len;
3235:
1.34 noro 3236: if ( !p ) return 0;
1.31 noro 3237: len = LEN(p);
1.34 noro 3238: m0 = m = (NMV)(mod?MALLOC_ATOMIC(len*nmv_adv):MALLOC(len*nmv_adv));
1.61 noro 3239: for ( t = BDY(p), i = 0; i < len; i++, NMV_ADV(t), NMV_ADV(m) ) {
1.14 noro 3240: ndl_copy(DL(t),DL(m));
1.16 noro 3241: CQ(m) = CQ(t);
1.3 noro 3242: }
3243: MKNDV(NV(p),m0,len,d);
1.23 noro 3244: SG(d) = SG(p);
3245: return d;
3246: }
3247:
1.63 noro 3248: ND nd_dup(ND p)
3249: {
3250: ND d;
3251: NM t,m,m0;
3252:
3253: if ( !p ) return 0;
3254: for ( m0 = 0, t = BDY(p); t; t = NEXT(t) ) {
3255: NEXTNM(m0,m);
3256: ndl_copy(DL(t),DL(m));
3257: CQ(m) = CQ(t);
3258: }
3259: if ( m0 ) NEXT(m) = 0;
3260: MKND(NV(p),m0,LEN(p),d);
3261: SG(d) = SG(p);
3262: return d;
3263: }
3264:
1.61 noro 3265: /* XXX if p->len == 0 then it represents 0 */
3266:
3267: void ndv_mod(int mod,NDV p)
3268: {
3269: NMV t,d;
3270: int r;
3271: int i,len,dlen;
1.71 noro 3272: Obj gfs;
1.61 noro 3273:
3274: if ( !p ) return;
3275: len = LEN(p);
3276: dlen = 0;
1.71 noro 3277: if ( mod == -1 )
3278: for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) {
3279: simp_ff((Obj)CP(t),&gfs);
3280: r = FTOIF(CONT((GFS)gfs));
1.61 noro 3281: CM(d) = r;
3282: ndl_copy(DL(t),DL(d));
3283: NMV_ADV(d);
3284: dlen++;
3285: }
1.71 noro 3286: else
3287: for ( t = d = BDY(p), i = 0; i < len; i++, NMV_ADV(t) ) {
3288: r = rem(NM(CQ(t)),mod);
3289: if ( r ) {
3290: if ( SGN(CQ(t)) < 0 )
3291: r = mod-r;
3292: CM(d) = r;
3293: ndl_copy(DL(t),DL(d));
3294: NMV_ADV(d);
3295: dlen++;
3296: }
3297: }
1.61 noro 3298: LEN(p) = dlen;
3299: }
3300:
3301: NDV ptondv(VL vl,VL dvl,P p)
3302: {
3303: ND nd;
3304:
3305: nd = ptond(vl,dvl,p);
3306: return ndtondv(0,nd);
3307: }
3308:
3309: ND ptond(VL vl,VL dvl,P p)
1.23 noro 3310: {
1.61 noro 3311: int n,i,j,k,e;
3312: VL tvl;
3313: V v;
3314: DCP dc;
3315: DCP *w;
3316: ND r,s,t,u;
3317: P x;
3318: int c;
3319: UINT *d;
1.23 noro 3320: NM m,m0;
1.61 noro 3321:
3322: if ( !p )
3323: return 0;
3324: else if ( NUM(p) ) {
3325: NEWNM(m);
3326: ndl_zero(DL(m));
3327: CQ(m) = (Q)p;
3328: NEXT(m) = 0;
3329: MKND(nd_nvar,m,1,r);
3330: SG(r) = 0;
3331: return r;
3332: } else {
3333: for ( dc = DC(p), k = 0; dc; dc = NEXT(dc), k++ );
3334: w = (DCP *)ALLOCA(k*sizeof(DCP));
3335: for ( dc = DC(p), j = 0; j < k; dc = NEXT(dc), j++ ) w[j] = dc;
3336: for ( i = 0, tvl = dvl, v = VR(p);
3337: vl && tvl->v != v; tvl = NEXT(tvl), i++ );
3338: if ( !tvl ) {
3339: for ( j = k-1, s = 0, MKV(v,x); j >= 0; j-- ) {
3340: t = ptond(vl,dvl,COEF(w[j]));
3341: pwrp(vl,x,DEG(w[j]),&p);
3342: nd_mul_c_p(CO,t,p); s = nd_add(0,s,t);
3343: }
3344: return s;
3345: } else {
3346: NEWNM(m0); d = DL(m0);
3347: for ( j = k-1, s = 0; j >= 0; j-- ) {
3348: ndl_zero(d); e = QTOS(DEG(w[j])); PUT_EXP(d,i,e);
3349: TD(d) = MUL_WEIGHT(e,i);
3350: if ( nd_blockmask) ndl_weight_mask(d);
3351: t = ptond(vl,dvl,COEF(w[j]));
3352: for ( m = BDY(t); m; m = NEXT(m) )
3353: ndl_addto(DL(m),d);
3354: SG(t) += TD(d);
3355: s = nd_add(0,s,t);
3356: }
3357: FREENM(m0);
3358: return s;
3359: }
3360: }
3361: }
3362:
3363: P ndvtop(int mod,VL vl,VL dvl,NDV p)
3364: {
3365: VL tvl;
3366: int len,n,j,i,e;
3367: NMV m;
3368: Q q;
3369: P c;
3370: UINT *d;
3371: P s,r,u,t,w;
1.71 noro 3372: GFS gfs;
1.23 noro 3373:
1.34 noro 3374: if ( !p ) return 0;
1.61 noro 3375: else {
3376: len = LEN(p);
3377: n = NV(p);
3378: m = (NMV)(((char *)BDY(p))+nmv_adv*(len-1));
3379: for ( j = len-1, s = 0; j >= 0; j--, NMV_PREV(m) ) {
1.71 noro 3380: if ( mod == -1 ) {
3381: e = IFTOF(CM(m)); MKGFS(e,gfs); c = (P)gfs;
3382: } else if ( mod ) {
1.61 noro 3383: STOQ(CM(m),q); c = (P)q;
3384: } else
3385: c = CP(m);
3386: d = DL(m);
3387: for ( i = 0, t = c, tvl = dvl; i < n; tvl = NEXT(tvl), i++ ) {
3388: MKV(tvl->v,r); e = GET_EXP(d,i); STOQ(e,q);
3389: pwrp(vl,r,q,&u); mulp(vl,t,u,&w); t = w;
3390: }
3391: addp(vl,s,t,&u); s = u;
3392: }
3393: return s;
1.23 noro 3394: }
1.3 noro 3395: }
3396:
1.61 noro 3397: NDV ndtondv(int mod,ND p)
1.11 noro 3398: {
3399: NDV d;
1.61 noro 3400: NMV m,m0;
3401: NM t;
3402: int i,len;
1.11 noro 3403:
1.34 noro 3404: if ( !p ) return 0;
1.61 noro 3405: len = LEN(p);
3406: m0 = m = (NMV)(mod?MALLOC_ATOMIC(len*nmv_adv):MALLOC(len*nmv_adv));
3407: for ( t = BDY(p), i = 0; t; t = NEXT(t), i++, NMV_ADV(m) ) {
3408: ndl_copy(DL(t),DL(m));
3409: CQ(m) = CQ(t);
1.11 noro 3410: }
1.61 noro 3411: MKNDV(NV(p),m0,len,d);
1.14 noro 3412: SG(d) = SG(p);
1.11 noro 3413: return d;
3414: }
3415:
1.61 noro 3416: ND ndvtond(int mod,NDV p)
1.11 noro 3417: {
1.61 noro 3418: ND d;
3419: NM m,m0;
1.11 noro 3420: NMV t;
1.61 noro 3421: int i,len;
1.11 noro 3422:
1.34 noro 3423: if ( !p ) return 0;
1.11 noro 3424: m0 = 0;
1.61 noro 3425: len = p->len;
3426: for ( t = BDY(p), i = 0; i < len; NMV_ADV(t), i++ ) {
3427: NEXTNM(m0,m);
3428: ndl_copy(DL(t),DL(m));
3429: CQ(m) = CQ(t);
1.11 noro 3430: }
3431: NEXT(m) = 0;
1.61 noro 3432: MKND(NV(p),m0,len,d);
1.14 noro 3433: SG(d) = SG(p);
1.11 noro 3434: return d;
3435: }
3436:
1.3 noro 3437: void ndv_print(NDV p)
3438: {
3439: NMV m;
3440: int i,len;
3441:
1.34 noro 3442: if ( !p ) printf("0\n");
1.3 noro 3443: else {
1.14 noro 3444: len = LEN(p);
1.3 noro 3445: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
1.71 noro 3446: if ( CM(m) & 0x80000000 ) printf("+@_%d*",IFTOF(CM(m)));
3447: else printf("+%d*",CM(m));
1.16 noro 3448: ndl_print(DL(m));
3449: }
3450: printf("\n");
3451: }
3452: }
3453:
3454: void ndv_print_q(NDV p)
3455: {
3456: NMV m;
3457: int i,len;
3458:
1.34 noro 3459: if ( !p ) printf("0\n");
1.16 noro 3460: else {
3461: len = LEN(p);
3462: for ( m = BDY(p), i = 0; i < len; i++, NMV_ADV(m) ) {
3463: printf("+");
3464: printexpr(CO,CQ(m));
3465: printf("*");
1.14 noro 3466: ndl_print(DL(m));
1.3 noro 3467: }
3468: printf("\n");
3469: }
1.25 noro 3470: }
3471:
1.61 noro 3472: NODE ndv_reducebase(NODE x)
1.27 noro 3473: {
3474: int len,i,j;
3475: NDV *w;
3476: NODE t,t0;
3477:
3478: len = length(x);
3479: w = (NDV *)ALLOCA(len*sizeof(NDV));
3480: for ( i = 0, t = x; i < len; i++, t = NEXT(t) ) w[i] = BDY(t);
3481: for ( i = 0; i < len; i++ ) {
3482: for ( j = 0; j < i; j++ ) {
3483: if ( w[i] && w[j] )
3484: if ( ndl_reducible(HDL(w[i]),HDL(w[j])) ) w[i] = 0;
3485: else if ( ndl_reducible(HDL(w[j]),HDL(w[i])) ) w[j] = 0;
3486: }
3487: }
3488: for ( i = len-1, t0 = 0; i >= 0; i-- ) {
3489: if ( w[i] ) { NEXTNODE(t0,t); BDY(t) = (pointer)w[i]; }
3490: }
3491: NEXT(t) = 0; x = t0;
3492: return x;
1.11 noro 3493: }
1.32 noro 3494:
1.43 noro 3495: /* XXX incomplete */
3496:
1.32 noro 3497: void nd_init_ord(struct order_spec *ord)
3498: {
1.43 noro 3499: switch ( ord->id ) {
1.32 noro 3500: case 0:
1.43 noro 3501: switch ( ord->ord.simple ) {
3502: case 0:
3503: nd_dcomp = 1;
3504: nd_isrlex = 1;
3505: break;
3506: case 1:
3507: nd_dcomp = 1;
3508: nd_isrlex = 0;
3509: break;
3510: case 2:
3511: nd_dcomp = 0;
3512: nd_isrlex = 0;
1.45 noro 3513: ndl_compare_function = ndl_lex_compare;
1.58 noro 3514: break;
3515: case 11:
3516: /* XXX */
3517: nd_dcomp = 0;
3518: nd_isrlex = 1;
3519: ndl_compare_function = ndl_ww_lex_compare;
1.43 noro 3520: break;
3521: default:
3522: error("nd_gr : unsupported order");
3523: }
1.32 noro 3524: break;
3525: case 1:
1.43 noro 3526: /* XXX */
3527: nd_dcomp = -1;
1.32 noro 3528: nd_isrlex = 0;
1.45 noro 3529: ndl_compare_function = ndl_block_compare;
1.34 noro 3530: break;
1.43 noro 3531: case 2:
3532: error("nd_init_ord : matrix order is not supported yet.");
1.32 noro 3533: break;
3534: }
1.41 noro 3535: nd_ord = ord;
1.32 noro 3536: }
3537:
1.43 noro 3538: BlockMask nd_create_blockmask(struct order_spec *ord)
3539: {
3540: int n,i,j,s,l;
1.61 noro 3541: UINT *t;
1.43 noro 3542: BlockMask bm;
3543:
3544: if ( !ord->id )
3545: return 0;
3546: n = ord->ord.block.length;
3547: bm = (BlockMask)MALLOC(sizeof(struct oBlockMask));
3548: bm->n = n;
3549: bm->order_pair = ord->ord.block.order_pair;
1.61 noro 3550: bm->mask = (UINT **)MALLOC(n*sizeof(UINT *));
1.43 noro 3551: for ( i = 0, s = 0; i < n; i++ ) {
1.61 noro 3552: bm->mask[i] = t = (UINT *)MALLOC_ATOMIC(nd_wpd*sizeof(UINT));
1.43 noro 3553: for ( j = 0; j < nd_wpd; j++ ) t[j] = 0;
3554: l = bm->order_pair[i].length;
3555: for ( j = 0; j < l; j++, s++ ) PUT_EXP(t,s,nd_mask0);
3556: }
3557: return bm;
1.57 noro 3558: }
3559:
3560: EPOS nd_create_epos(struct order_spec *ord)
3561: {
3562: int i,j,l,s,ord_l,ord_o;
3563: EPOS epos;
3564: struct order_pair *op;
3565:
3566: epos = (EPOS)MALLOC_ATOMIC(nd_nvar*sizeof(struct oEPOS));
3567: switch ( ord->id ) {
3568: case 0:
3569: if ( nd_isrlex ) {
3570: for ( i = 0; i < nd_nvar; i++ ) {
3571: epos[i].i = nd_exporigin + (nd_nvar-1-i)/nd_epw;
3572: epos[i].s = (nd_epw-((nd_nvar-1-i)%nd_epw)-1)*nd_bpe;
3573: }
3574: } else {
3575: for ( i = 0; i < nd_nvar; i++ ) {
3576: epos[i].i = nd_exporigin + i/nd_epw;
3577: epos[i].s = (nd_epw-(i%nd_epw)-1)*nd_bpe;
3578: }
3579: }
3580: break;
3581: case 1:
3582: /* block order */
3583: l = ord->ord.block.length;
3584: op = ord->ord.block.order_pair;
3585: for ( j = 0, s = 0; j < l; j++ ) {
3586: ord_o = op[j].order;
3587: ord_l = op[j].length;
3588: if ( !ord_o )
3589: for ( i = 0; i < ord_l; i++ ) {
3590: epos[s+i].i = nd_exporigin + (s+ord_l-i-1)/nd_epw;
3591: epos[s+i].s = (nd_epw-((s+ord_l-i-1)%nd_epw)-1)*nd_bpe;
3592: }
3593: else
3594: for ( i = 0; i < ord_l; i++ ) {
3595: epos[s+i].i = nd_exporigin + (s+i)/nd_epw;
3596: epos[s+i].s = (nd_epw-((s+i)%nd_epw)-1)*nd_bpe;
3597: }
3598: s += ord_l;
3599: }
3600: break;
3601: case 2:
3602: error("nd_create_epos : matrix order is not supported yet.");
3603: }
3604: return epos;
1.43 noro 3605: }
1.59 noro 3606:
3607: /* external interface */
3608:
3609: void nd_nf_p(P f,LIST g,LIST v,int m,struct order_spec *ord,P *rp)
3610: {
1.61 noro 3611: NODE t,in0,in;
1.59 noro 3612: ND nd,nf;
1.61 noro 3613: NDV ndv;
3614: VL vv,tv;
3615: int stat,nvar,max,e;
1.69 noro 3616: union oNDC dn;
1.59 noro 3617:
3618: pltovl(v,&vv);
1.61 noro 3619: nvar = length(vv);
3620:
3621: /* get the degree bound */
3622: for ( t = BDY(g), max = 0; t; t = NEXT(t) )
3623: for ( tv = vv; tv; tv = NEXT(tv) ) {
3624: e = getdeg(tv->v,(P)BDY(t));
3625: max = MAX(e,max);
3626: }
3627: for ( tv = vv; tv; tv = NEXT(tv) ) {
3628: e = getdeg(tv->v,f);
3629: max = MAX(e,max);
3630: }
3631:
1.59 noro 3632: nd_init_ord(ord);
1.61 noro 3633: nd_setup_parameters(nvar,max);
3634:
3635: /* conversion to ndv */
3636: for ( in0 = 0, t = BDY(g); t; t = NEXT(t) ) {
3637: NEXTNODE(in0,in);
3638: BDY(in) = (pointer)ptondv(CO,vv,(P)BDY(t));
1.69 noro 3639: if ( m ) ndv_mod(m,(NDV)BDY(in));
1.61 noro 3640: }
3641: NEXTNODE(in0,in);
3642: BDY(in) = (pointer)ptondv(CO,vv,f);
1.69 noro 3643: if ( m ) ndv_mod(m,(NDV)BDY(in));
1.61 noro 3644: NEXT(in) = 0;
3645:
3646: ndv_setup(m,0,in0);
1.59 noro 3647: nd_psn--;
3648: nd_scale=2;
3649: while ( 1 ) {
3650: nd = (pointer)ndvtond(m,nd_ps[nd_psn]);
1.69 noro 3651: stat = nd_nf(m,nd,nd_ps,1,0,&nf);
1.59 noro 3652: if ( !stat ) {
3653: nd_psn++;
3654: nd_reconstruct(m,0,0);
3655: nd_psn--;
3656: } else
3657: break;
3658: }
1.61 noro 3659: *rp = ndvtop(m,CO,vv,ndtondv(m,nf));
1.63 noro 3660: }
3661:
3662: int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r)
3663: {
3664: NM m;
3665: UINT *t,*s;
3666: int i;
3667:
3668: for ( i = 0; i < n; i++ ) r[i] = 0;
3669: for ( i = 0, s = s0, m = BDY(d); m; m = NEXT(m) ) {
3670: t = DL(m);
3671: for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );
3672: r[i] = CM(m);
3673: }
3674: for ( i = 0; !r[i]; i++ );
3675: return i;
3676: }
3677:
3678: int nm_ind_pair_to_vect(int mod,UINT *s0,int n,NM_ind_pair pair,UINT *r)
3679: {
3680: NM m;
3681: NMV mr;
3682: UINT *d,*t,*s;
3683: NDV p;
3684: int i,j,len;
3685:
3686: m = pair->mul;
3687: d = DL(m);
3688: p = nd_ps[pair->index];
3689: t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
3690: for ( i = 0; i < n; i++ ) r[i] = 0;
3691: len = LEN(p);
3692: for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) {
3693: ndl_add(d,DL(mr),t);
3694: for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );
3695: r[i] = CM(mr);
3696: }
3697: for ( i = 0; !r[i]; i++ );
3698: return i;
3699: }
3700:
1.67 noro 3701: IndArray nm_ind_pair_to_vect_compress(int mod,UINT *s0,int n,NM_ind_pair pair)
1.64 noro 3702: {
3703: NM m;
3704: NMV mr;
3705: UINT *d,*t,*s;
3706: NDV p;
1.67 noro 3707: unsigned char *ivc;
3708: unsigned short *ivs;
3709: UINT *v,*ivi;
3710: int i,j,len,prev,diff,cdiff;
3711: IndArray r;
1.64 noro 3712:
3713: m = pair->mul;
3714: d = DL(m);
3715: p = nd_ps[pair->index];
3716: len = LEN(p);
3717: t = (UINT *)ALLOCA(nd_wpd*sizeof(UINT));
1.67 noro 3718: r = (IndArray)MALLOC(sizeof(struct oIndArray));
3719: v = (unsigned int *)ALLOCA(len*sizeof(unsigned int));
1.64 noro 3720: for ( i = j = 0, s = s0, mr = BDY(p); j < len; j++, NMV_ADV(mr) ) {
3721: ndl_add(d,DL(mr),t);
3722: for ( ; !ndl_equal(t,s); s += nd_wpd, i++ );
1.67 noro 3723: v[j] = i;
3724: }
3725: r->head = v[0];
3726: diff = 0;
3727: for ( i = 1; i < len; i++ ) {
3728: cdiff = v[i]-v[i-1]; diff = MAX(cdiff,diff);
3729: }
3730: if ( diff < 256 ) {
3731: r->width = 1;
3732: ivc = (unsigned char *)MALLOC_ATOMIC(len*sizeof(unsigned char));
3733: r->index.c = ivc;
3734: for ( i = 1, ivc[0] = 0; i < len; i++ ) ivc[i] = v[i]-v[i-1];
3735: } else if ( diff < 65536 ) {
3736: r->width = 2;
3737: ivs = (unsigned short *)MALLOC_ATOMIC(len*sizeof(unsigned short));
3738: r->index.s = ivs;
3739: for ( i = 1, ivs[0] = 0; i < len; i++ ) ivs[i] = v[i]-v[i-1];
3740: } else {
3741: r->width = 4;
3742: ivi = (unsigned int *)MALLOC_ATOMIC(len*sizeof(unsigned int));
3743: r->index.i = ivi;
3744: for ( i = 1, ivi[0] = 0; i < len; i++ ) ivi[i] = v[i]-v[i-1];
1.64 noro 3745: }
1.67 noro 3746: return r;
1.64 noro 3747: }
3748:
1.65 noro 3749:
1.67 noro 3750: void ndv_reduce_vect(int m,UINT *svect,int col,IndArray *imat,NODE rp0)
1.65 noro 3751: {
1.67 noro 3752: int i,j,k,len,pos,prev;
1.66 noro 3753: UINT c,c1,c2,c3,up,lo,dmy;
1.67 noro 3754: IndArray ivect;
3755: unsigned char *ivc;
3756: unsigned short *ivs;
3757: unsigned int *ivi;
1.65 noro 3758: NDV redv;
1.67 noro 3759: NMV mr;
1.65 noro 3760: NODE rp;
3761:
3762: for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) {
3763: ivect = imat[i];
1.67 noro 3764: k = ivect->head; svect[k] %= m;
1.65 noro 3765: if ( c = svect[k] ) {
1.67 noro 3766: c = m-c; redv = nd_ps[((NM_ind_pair)BDY(rp))->index];
3767: len = LEN(redv); mr = BDY(redv);
3768: svect[k] = 0; prev = k;
3769: switch ( ivect->width ) {
3770: case 1:
3771: ivc = ivect->index.c;
3772: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
3773: pos = prev+ivc[j]; c1 = CM(mr); c2 = svect[pos];
3774: prev = pos;
3775: DMA(c1,c,c2,up,lo);
3776: if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3;
3777: } else svect[pos] = lo;
3778: }
3779: break;
3780: case 2:
3781: ivs = ivect->index.s;
3782: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
3783: pos = prev+ivs[j]; c1 = CM(mr); c2 = svect[pos];
3784: prev = pos;
3785: DMA(c1,c,c2,up,lo);
3786: if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3;
3787: } else svect[pos] = lo;
3788: }
3789: break;
3790: case 4:
3791: ivi = ivect->index.i;
3792: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
3793: pos = prev+ivi[j]; c1 = CM(mr); c2 = svect[pos];
3794: prev = pos;
3795: DMA(c1,c,c2,up,lo);
3796: if ( up ) { DSAB(m,up,lo,dmy,c3); svect[pos] = c3;
3797: } else svect[pos] = lo;
3798: }
3799: break;
1.65 noro 3800: }
3801: }
3802: }
1.66 noro 3803: for ( i = 0; i < col; i++ )
3804: if ( svect[i] >= (UINT)m ) svect[i] %= m;
1.65 noro 3805: }
3806:
1.72 noro 3807: void ndv_reduce_vect_sf(int m,UINT *svect,int col,IndArray *imat,NODE rp0)
3808: {
3809: int i,j,k,len,pos,prev;
3810: UINT c,c1,c2,c3,up,lo,dmy;
3811: IndArray ivect;
3812: unsigned char *ivc;
3813: unsigned short *ivs;
3814: unsigned int *ivi;
3815: NDV redv;
3816: NMV mr;
3817: NODE rp;
3818:
3819: for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) {
3820: ivect = imat[i];
3821: k = ivect->head; svect[k] %= m;
3822: if ( c = svect[k] ) {
3823: c = _chsgnsf(c); redv = nd_ps[((NM_ind_pair)BDY(rp))->index];
3824: len = LEN(redv); mr = BDY(redv);
3825: svect[k] = 0; prev = k;
3826: switch ( ivect->width ) {
3827: case 1:
3828: ivc = ivect->index.c;
3829: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
3830: pos = prev+ivc[j]; prev = pos;
3831: svect[pos] = _addsf(_mulsf(CM(mr),c),svect[pos]);
3832: }
3833: break;
3834: case 2:
3835: ivs = ivect->index.s;
3836: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
3837: pos = prev+ivs[j]; prev = pos;
3838: svect[pos] = _addsf(_mulsf(CM(mr),c),svect[pos]);
3839: }
3840: break;
3841: case 4:
3842: ivi = ivect->index.i;
3843: for ( j = 1, NMV_ADV(mr); j < len; j++, NMV_ADV(mr) ) {
3844: pos = prev+ivi[j]; prev = pos;
3845: svect[pos] = _addsf(_mulsf(CM(mr),c),svect[pos]);
3846: }
3847: break;
3848: }
3849: }
3850: }
3851: }
3852:
1.65 noro 3853: NDV vect_to_ndv(UINT *vect,int spcol,int col,int *rhead,UINT *s0vect)
3854: {
3855: int j,k,len;
3856: UINT *p;
3857: UINT c;
3858: NDV r;
3859: NMV mr0,mr;
3860:
3861: for ( j = 0, len = 0; j < spcol; j++ ) if ( vect[j] ) len++;
3862: if ( !len ) return 0;
3863: else {
3864: mr0 = (NMV)MALLOC_ATOMIC(nmv_adv*len);
3865: mr = mr0;
3866: p = s0vect;
3867: for ( j = k = 0; j < col; j++, p += nd_wpd )
3868: if ( !rhead[j] ) {
3869: if ( c = vect[k++] ) {
3870: ndl_copy(p,DL(mr)); CM(mr) = c; NMV_ADV(mr);
3871: }
3872: }
3873: MKNDV(nd_nvar,mr0,len,r);
3874: return r;
3875: }
3876: }
3877:
1.68 noro 3878: int nd_sp_f4(int m,ND_pairs l,PGeoBucket bucket,NODE *s)
1.65 noro 3879: {
3880: ND_pairs t;
3881: NODE sp0,sp;
3882: int stat;
3883: ND spol;
3884:
3885: sp0 = 0;
3886: for ( t = l; t; t = NEXT(t) ) {
3887: stat = nd_sp(m,0,t,&spol);
3888: if ( !stat ) return 0;
3889: if ( spol ) {
3890: NEXTNODE(sp0,sp); BDY(sp) = (pointer)nd_dup(spol);
3891: add_pbucket_symbolic(bucket,spol);
3892: }
3893: }
1.68 noro 3894: *s = sp0;
3895: return 1;
1.65 noro 3896: }
3897:
3898: int nd_symbolic_preproc(PGeoBucket bucket,UINT **s0vect,NODE *r)
3899: {
3900: NODE rp0,rp;
3901: NM mul,head,s0,s;
3902: int index,col,i;
3903: RHist h;
3904: UINT *s0v,*p;
3905: NM_ind_pair pair;
3906: ND red;
3907:
3908: s0 = 0; rp0 = 0; col = 0;
3909: while ( 1 ) {
3910: head = remove_head_pbucket_symbolic(bucket);
3911: if ( !head ) break;
3912: if ( !s0 ) s0 = head;
3913: else NEXT(s) = head;
3914: s = head;
3915: index = ndl_find_reducer(DL(head));
3916: if ( index >= 0 ) {
3917: h = nd_psh[index];
3918: NEWNM(mul);
3919: ndl_sub(DL(head),DL(h),DL(mul));
3920: if ( ndl_check_bound2(index,DL(mul)) ) return 0;
3921: MKNM_ind_pair(pair,mul,index);
3922: red = ndv_mul_nm_symbolic(mul,nd_ps[index]);
3923: add_pbucket_symbolic(bucket,nd_remove_head(red));
3924: NEXTNODE(rp0,rp); BDY(rp) = (pointer)pair;
3925: }
3926: col++;
3927: }
1.72 noro 3928: if ( rp0 ) NEXT(rp) = 0;
3929: NEXT(s) = 0;
1.65 noro 3930: s0v = (UINT *)MALLOC_ATOMIC(col*nd_wpd*sizeof(UINT));
3931: for ( i = 0, p = s0v, s = s0; i < col;
3932: i++, p += nd_wpd, s = NEXT(s) ) ndl_copy(DL(s),p);
3933: *s0vect = s0v;
3934: *r = rp0;
3935: return col;
3936: }
3937:
1.69 noro 3938: #if 0
3939: NODE nd_f4(int m)
3940: {
3941: int i,nh,stat,index;
3942: NODE r,g;
3943: ND_pairs d,l,t;
3944: ND spol,red;
3945: NDV nf,redv;
3946: NM s0,s;
3947: NODE sp0,sp,rp0,rp;
3948: int nsp,nred,col,rank,len,k,j,a;
3949: UINT c;
3950: UINT *s0vect,*svect,*p,*v;
3951: int *colstat;
3952: IndArray *imat;
3953: int *rhead;
3954: int spcol,sprow;
3955: int sugar;
3956: PGeoBucket bucket;
3957: struct oEGT eg0,eg1,eg_f4;
3958: static UINT **spmat;
3959: static UINT *spb;
3960: static int spblen;
3961:
3962: if ( !m )
3963: error("nd_f4 : not implemented");
3964:
3965: g = 0; d = 0;
3966: for ( i = 0; i < nd_psn; i++ ) {
3967: d = update_pairs(d,g,i);
3968: g = update_base(g,i);
3969: }
3970: if ( !spmat ) {
3971: spmat = (UINT **)MALLOC(nd_f4_nsp*sizeof(UINT *));
3972: spblen = 10000;
3973: spb = (UINT *)MALLOC_ATOMIC(nd_f4_nsp*spblen*sizeof(UINT));
3974: }
3975: while ( d ) {
3976: get_eg(&eg0);
3977: l = nd_minsugarp(d,&d);
3978: sugar = SG(l);
3979: bucket = create_pbucket();
3980: stat = nd_sp_f4(m,l,bucket,&sp0);
3981: if ( !stat ) {
3982: for ( t = l; NEXT(t); t = NEXT(t) );
3983: NEXT(t) = d; d = l;
3984: d = nd_reconstruct(m,0,d);
3985: continue;
3986: }
3987: if ( !sp0 ) continue;
3988: col = nd_symbolic_preproc(bucket,&s0vect,&rp0);
3989: if ( !col ) {
3990: for ( t = l; NEXT(t); t = NEXT(t) );
3991: NEXT(t) = d; d = l;
3992: d = nd_reconstruct(m,0,d);
3993: continue;
3994: }
3995:
3996: nsp = length(sp0); nred = length(rp0); spcol = col-nred;
3997: imat = (IndArray *)MALLOC(nred*sizeof(IndArray));
3998: rhead = (int *)MALLOC_ATOMIC(col*sizeof(int));
3999: for ( i = 0; i < col; i++ ) rhead[i] = 0;
4000:
4001: /* construction of index arrays */
4002: for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) {
4003: imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,(NM_ind_pair)BDY(rp));
4004: rhead[imat[i]->head] = 1;
4005: }
4006:
4007: /* elimination (1st step) */
4008: svect = (UINT *)MALLOC_ATOMIC(col*sizeof(UINT));
4009: if ( spcol > spblen ) {
4010: spblen = spcol;
4011: spb = REALLOC(spb,spblen*nd_f4_nsp*sizeof(UINT));
4012: }
4013:
4014: for ( a = sprow = 0, sp = sp0, p = spb; a < nsp; a++, sp = NEXT(sp) ) {
4015: nd_to_vect(m,s0vect,col,BDY(sp),svect);
4016: ndv_reduce_vect(m,svect,col,imat,rp0);
4017: for ( i = 0; i < col; i++ ) if ( svect[i] ) break;
4018: if ( i < col ) {
4019: spmat[sprow] = p;
4020: v = spmat[sprow];
4021: for ( j = k = 0; j < col; j++ )
4022: if ( !rhead[j] ) v[k++] = svect[j];
4023: sprow++;
4024: p += k;
4025: }
4026: }
4027: /* free index arrays */
4028: for ( i = 0; i < nred; i++ ) GC_free(imat[i]->index.c);
4029:
4030: /* elimination (2nd step) */
4031: colstat = (int *)ALLOCA(spcol*sizeof(int));
4032: rank = generic_gauss_elim_mod(spmat,sprow,spcol,m,colstat);
4033:
4034: get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1);
1.71 noro 4035: if ( DP_Print ) {
4036: fprintf(asir_out,"sugar=%d,nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",
4037: sugar,nsp,nred,sprow,spcol,rank);
4038: fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime);
4039: }
1.69 noro 4040:
4041: /* adding new bases */
4042: for ( i = 0; i < rank; i++ ) {
4043: nf = vect_to_ndv(spmat[i],spcol,col,rhead,s0vect);
4044: SG(nf) = sugar;
4045: ndv_removecont(m,nf);
4046: nh = ndv_newps(nf,0);
4047: d = update_pairs(d,g,nh);
4048: g = update_base(g,nh);
4049: }
4050: }
4051: for ( r = g; r; r = NEXT(r) ) BDY(r) = (pointer)nd_ps[(int)BDY(r)];
4052: return g;
4053: }
4054: #else
1.63 noro 4055: NODE nd_f4(int m)
4056: {
4057: int i,nh,stat,index;
4058: NODE r,g;
4059: ND_pairs d,l,t;
4060: ND spol,red;
1.65 noro 4061: NDV nf,redv;
1.63 noro 4062: NM s0,s;
4063: NODE sp0,sp,rp0,rp;
1.65 noro 4064: int nsp,nred,col,rank,len,k,j,a;
4065: UINT c;
1.63 noro 4066: UINT **spmat;
1.65 noro 4067: UINT *s0vect,*svect,*p,*v;
1.63 noro 4068: int *colstat;
1.67 noro 4069: IndArray *imat;
1.65 noro 4070: int *rhead;
4071: int spcol,sprow;
4072: int sugar;
1.63 noro 4073: PGeoBucket bucket;
1.66 noro 4074: struct oEGT eg0,eg1,eg_f4;
1.63 noro 4075:
4076: if ( !m )
4077: error("nd_f4 : not implemented");
4078:
4079: g = 0; d = 0;
4080: for ( i = 0; i < nd_psn; i++ ) {
4081: d = update_pairs(d,g,i);
4082: g = update_base(g,i);
4083: }
4084: while ( d ) {
1.66 noro 4085: get_eg(&eg0);
1.63 noro 4086: l = nd_minsugarp(d,&d);
4087: sugar = SG(l);
4088: bucket = create_pbucket();
1.68 noro 4089: stat = nd_sp_f4(m,l,bucket,&sp0);
4090: if ( !stat ) {
4091: for ( t = l; NEXT(t); t = NEXT(t) );
4092: NEXT(t) = d; d = l;
4093: d = nd_reconstruct(m,0,d);
4094: continue;
4095: }
4096: if ( !sp0 ) continue;
4097: col = nd_symbolic_preproc(bucket,&s0vect,&rp0);
4098: if ( !col ) {
1.65 noro 4099: for ( t = l; NEXT(t); t = NEXT(t) );
4100: NEXT(t) = d; d = l;
4101: d = nd_reconstruct(m,0,d);
4102: continue;
4103: }
4104:
4105: nsp = length(sp0); nred = length(rp0); spcol = col-nred;
1.67 noro 4106: imat = (IndArray *)MALLOC(nred*sizeof(IndArray));
1.65 noro 4107: rhead = (int *)MALLOC_ATOMIC(col*sizeof(int));
4108: for ( i = 0; i < col; i++ ) rhead[i] = 0;
4109:
4110: /* construction of index arrays */
4111: for ( rp = rp0, i = 0; rp; i++, rp = NEXT(rp) ) {
1.67 noro 4112: imat[i] = nm_ind_pair_to_vect_compress(m,s0vect,col,(NM_ind_pair)BDY(rp));
4113: rhead[imat[i]->head] = 1;
1.65 noro 4114: }
4115:
4116: /* elimination (1st step) */
1.63 noro 4117: spmat = (UINT **)MALLOC(nsp*sizeof(UINT *));
1.65 noro 4118: svect = (UINT *)MALLOC_ATOMIC(col*sizeof(UINT));
4119: for ( a = sprow = 0, sp = sp0; a < nsp; a++, sp = NEXT(sp) ) {
4120: nd_to_vect(m,s0vect,col,BDY(sp),svect);
1.72 noro 4121: if ( m == -1 ) ndv_reduce_vect_sf(m,svect,col,imat,rp0);
4122: else ndv_reduce_vect(m,svect,col,imat,rp0);
1.65 noro 4123: for ( i = 0; i < col; i++ ) if ( svect[i] ) break;
4124: if ( i < col ) {
4125: spmat[sprow] = v = (UINT *)MALLOC_ATOMIC(spcol*sizeof(UINT));
4126: for ( j = k = 0; j < col; j++ )
4127: if ( !rhead[j] ) v[k++] = svect[j];
4128: sprow++;
4129: }
4130: }
4131: /* free index arrays */
1.67 noro 4132: for ( i = 0; i < nred; i++ ) GC_free(imat[i]->index.c);
1.65 noro 4133:
4134: /* elimination (2nd step) */
4135: colstat = (int *)ALLOCA(spcol*sizeof(int));
1.72 noro 4136: if ( m == -1 )
4137: rank = generic_gauss_elim_sf(spmat,sprow,spcol,m,colstat);
4138: else
4139: rank = generic_gauss_elim_mod(spmat,sprow,spcol,m,colstat);
1.65 noro 4140:
1.66 noro 4141: get_eg(&eg1); init_eg(&eg_f4); add_eg(&eg_f4,&eg0,&eg1);
1.71 noro 4142: if ( DP_Print ) {
4143: fprintf(asir_out,"sugar=%d,nsp=%d,nred=%d,spmat=(%d,%d),rank=%d ",
4144: sugar,nsp,nred,sprow,spcol,rank);
4145: fprintf(asir_out,"%fsec\n",eg_f4.exectime+eg_f4.gctime);
4146: }
1.65 noro 4147:
4148: /* adding new bases */
1.66 noro 4149: for ( i = 0; i < rank; i++ ) {
1.65 noro 4150: nf = vect_to_ndv(spmat[i],spcol,col,rhead,s0vect);
4151: SG(nf) = sugar;
4152: ndv_removecont(m,nf);
4153: nh = ndv_newps(nf,0);
4154: d = update_pairs(d,g,nh);
4155: g = update_base(g,nh);
4156: GC_free(spmat[i]);
1.63 noro 4157: }
1.66 noro 4158: for ( ; i < sprow; i++ ) GC_free(spmat[i]);
1.63 noro 4159: }
4160: for ( r = g; r; r = NEXT(r) ) BDY(r) = (pointer)nd_ps[(int)BDY(r)];
4161: return g;
1.59 noro 4162: }
1.69 noro 4163: #endif
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