Annotation of OpenXM_contrib2/asir2000/engine/nd.h, Revision 1.19
1.19 ! noro 1: /* $OpenXM: OpenXM_contrib2/asir2000/engine/nd.h,v 1.18 2006/12/14 02:49:59 noro Exp $ */
1.1 noro 2: #include "ca.h"
3: #include "parse.h"
4: #include "ox.h"
5: #include "base.h"
6: #include "inline.h"
7: #include <time.h>
8:
9: #if defined(__GNUC__)
10: #define INLINE inline
11: #elif defined(VISUAL)
12: #define INLINE __inline
13: #else
14: #define INLINE
15: #endif
16:
17: typedef unsigned int UINT;
18:
19: #define USE_GEOBUCKET 1
20: #define USE_UNROLL 1
21:
22: #define REDTAB_LEN 32003
23:
24: /* GeoBucket for polynomial addition */
25:
26: typedef struct oPGeoBucket {
27: int m;
28: struct oND *body[32];
29: } *PGeoBucket;
30:
31: /* distributed polynomial; linked list rep. */
32: typedef struct oND {
33: struct oNM *body;
34: int nv;
35: int len;
36: int sugar;
37: } *ND;
38:
39: /* distributed polynomial; array rep. */
40: typedef struct oNDV {
41: struct oNMV *body;
42: int nv;
43: int len;
44: int sugar;
45: } *NDV;
46:
47: typedef union oNDC {
48: int m;
1.11 noro 49: Q z;
1.1 noro 50: P p;
1.16 noro 51: R r;
1.12 noro 52: DAlg a;
1.1 noro 53: } *NDC;
54:
55: /* monomial; linked list rep. */
56: typedef struct oNM {
57: struct oNM *next;
58: union oNDC c;
59: UINT dl[1];
60: } *NM;
61:
62: /* monomial; array rep. */
63: typedef struct oNMV {
64: union oNDC c;
65: UINT dl[1];
66: } *NMV;
67:
68: /* history of reducer */
69: typedef struct oRHist {
70: struct oRHist *next;
71: int index;
72: int sugar;
73: UINT dl[1];
74: } *RHist;
75:
76: /* S-pair list */
77: typedef struct oND_pairs {
78: struct oND_pairs *next;
79: int i1,i2;
80: int sugar;
81: UINT lcm[1];
82: } *ND_pairs;
83:
84: /* index and shift count for each exponent */
85: typedef struct oEPOS {
86: int i; /* index */
87: int s; /* shift */
88: } *EPOS;
89:
90: typedef struct oBlockMask {
91: int n;
92: struct order_pair *order_pair;
93: UINT **mask;
94: } *BlockMask;
95:
96: typedef struct oBaseSet {
97: int len;
98: NDV *ps;
99: UINT **bound;
100: } *BaseSet;
101:
102: typedef struct oNM_ind_pair
103: {
104: NM mul;
105: int index,sugar;
106: } *NM_ind_pair;
107:
108: typedef struct oIndArray
109: {
110: char width;
111: int head;
112: union {
113: unsigned char *c;
114: unsigned short *s;
115: unsigned int *i;
116: } index;
117: } *IndArray;
118:
119: extern int (*ndl_compare_function)(UINT *a1,UINT *a2);
120: extern int nd_dcomp;
121:
122: extern NM _nm_free_list;
123: extern ND _nd_free_list;
124: extern ND_pairs _ndp_free_list;
125:
126: extern struct order_spec *dp_current_spec;
127: extern char *Demand;
128: extern VL CO;
129: extern int Top,Reverse,DP_Print,dp_nelim,do_weyl,NoSugar;
130: extern int *current_weyl_weight_vector;
131:
132: /* fundamental macros */
133: #define TD(d) (d[0])
134: #define HDL(d) ((d)->body->dl)
135: #define HTD(d) (TD(HDL(d)))
136: #define HCM(d) ((d)->body->c.m)
1.11 noro 137: #define HCQ(d) ((d)->body->c.z)
1.1 noro 138: #define HCP(d) ((d)->body->c.p)
1.12 noro 139: #define HCA(d) ((d)->body->c.a)
140: #define CM(x) ((x)->c.m)
141: #define CQ(x) ((x)->c.z)
142: #define CP(x) ((x)->c.p)
143: #define CA(x) ((x)->c.a)
144: #define DL(x) ((x)->dl)
145: #define SG(x) ((x)->sugar)
146: #define LEN(x) ((x)->len)
147: #define LCM(x) ((x)->lcm)
1.1 noro 148: #define GET_EXP(d,a) (((d)[nd_epos[a].i]>>nd_epos[a].s)&nd_mask0)
149: #define GET_EXP_MASK(d,a,m) ((((d)[nd_epos[a].i]&(m)[nd_epos[a].i])>>nd_epos[a].s)&nd_mask0)
150: #define PUT_EXP(r,a,e) ((r)[nd_epos[a].i] |= ((e)<<nd_epos[a].s))
151: #define XOR_EXP(r,a,e) ((r)[nd_epos[a].i] ^= ((e)<<nd_epos[a].s))
152:
153: #define GET_EXP_OLD(d,a) (((d)[oepos[a].i]>>oepos[a].s)&omask0)
154: #define PUT_EXP_OLD(r,a,e) ((r)[oepos[a].i] |= ((e)<<oepos[a].s))
1.19 ! noro 155: #define MPOS(d) (d[nd_mpos])
1.1 noro 156:
157: #define ROUND_FOR_ALIGN(s) ((((s)+sizeof(void *)-1)/sizeof(void *))*sizeof(void *))
158:
159: /* macros for term comparison */
160: #define TD_DL_COMPARE(d1,d2)\
161: (TD(d1)>TD(d2)?1:(TD(d1)<TD(d2)?-1:ndl_lex_compare(d1,d2)))
162: #if 0
163: #define DL_COMPARE(d1,d2)\
164: (nd_dcomp>0?TD_DL_COMPARE(d1,d2)\
165: :(nd_dcomp==0?ndl_lex_compare(d1,d2)\
166: :(nd_blockmask?ndl_block_compare(d1,d2)\
167: :(*ndl_compare_function)(d1,d2))))
168: #else
169: #define DL_COMPARE(d1,d2)\
170: (nd_dcomp>0?TD_DL_COMPARE(d1,d2):(*ndl_compare_function)(d1,d2))
171: #endif
172:
173: /* allocators */
174: #define NEWRHist(r) \
175: ((r)=(RHist)MALLOC(sizeof(struct oRHist)+(nd_wpd-1)*sizeof(UINT)))
176: #define NEWND_pairs(m) \
177: if(!_ndp_free_list)_NDP_alloc();\
178: (m)=_ndp_free_list; _ndp_free_list = NEXT(_ndp_free_list)
179: #define NEWNM(m)\
180: if(!_nm_free_list)_NM_alloc();\
181: (m)=_nm_free_list; _nm_free_list = NEXT(_nm_free_list)
182: #define MKND(n,m,len,d)\
183: if(!_nd_free_list)_ND_alloc();\
184: (d)=_nd_free_list; _nd_free_list = (ND)BDY(_nd_free_list);\
185: NV(d)=(n); LEN(d)=(len); BDY(d)=(m)
186: #define NEWNDV(d) ((d)=(NDV)MALLOC(sizeof(struct oNDV)))
187: #define MKNDV(n,m,l,d) NEWNDV(d); NV(d)=(n); BDY(d)=(m); LEN(d) = l;
188: #define NEWNM_ind_pair(p)\
189: ((p)=(NM_ind_pair)MALLOC(sizeof(struct oNM_ind_pair)))
190:
191: /* allocate and link a new object */
192: #define NEXTRHist(r,c) \
193: if(!(r)){NEWRHist(r);(c)=(r);}else{NEWRHist(NEXT(c));(c)=NEXT(c);}
194: #define NEXTNM(r,c) \
195: if(!(r)){NEWNM(r);(c)=(r);}else{NEWNM(NEXT(c));(c)=NEXT(c);}
196: #define NEXTNM2(r,c,s) \
197: if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
198: #define NEXTND_pairs(r,c) \
199: if(!(r)){NEWND_pairs(r);(c)=(r);}else{NEWND_pairs(NEXT(c));(c)=NEXT(c);}
200: #define MKNM_ind_pair(p,m,i,s) (NEWNM_ind_pair(p),(p)->mul=(m),(p)->index=(i),(p)->sugar = (s))
201:
202: /* deallocators */
203: #define FREENM(m) NEXT(m)=_nm_free_list; _nm_free_list=(m)
204: #define FREENDP(m) NEXT(m)=_ndp_free_list; _ndp_free_list=(m)
205: #define FREEND(m) BDY(m)=(NM)_nd_free_list; _nd_free_list=(m)
206:
207: /* macro for increasing pointer to NMV */
208: #define NMV_ADV(m) (m = (NMV)(((char *)m)+nmv_adv))
209: #define NMV_OADV(m) (m = (NMV)(((char *)m)+oadv))
210: #define NDV_NADV(m) (m = (NMV)(((char *)m)+newadv))
211: #define NMV_PREV(m) (m = (NMV)(((char *)m)-nmv_adv))
212: #define NMV_OPREV(m) (m = (NMV)(((char *)m)-oadv))
213:
214: /* external functions */
215: #if 1
216: void GC_gcollect();
217: #endif
218: NODE append_one(NODE,int);
219:
220: /* manipulation of coefficients */
221: void nd_removecont(int mod,ND p);
222: void nd_removecont2(ND p1,ND p2);
1.17 noro 223: void removecont_array(P *c,int n,int full);
1.16 noro 224: void removecont_array_q(Q *c,int n);
1.1 noro 225:
226: /* GeoBucket functions */
227: ND normalize_pbucket(int mod,PGeoBucket g);
228: int head_pbucket(int mod,PGeoBucket g);
1.11 noro 229: int head_pbucket_q(PGeoBucket g);
1.1 noro 230: void add_pbucket_symbolic(PGeoBucket g,ND d);
231: void add_pbucket(int mod,PGeoBucket g,ND d);
232: void free_pbucket(PGeoBucket b);
1.11 noro 233: void mulq_pbucket(PGeoBucket g,Q c);
1.1 noro 234: NM remove_head_pbucket_symbolic(PGeoBucket g);
235: PGeoBucket create_pbucket();
236:
237: /* manipulation of pairs and bases */
238: int nd_newps(int mod,ND a,ND aq);
239: ND_pairs nd_newpairs( NODE g, int t );
240: ND_pairs nd_minp( ND_pairs d, ND_pairs *prest );
241: ND_pairs nd_minsugarp( ND_pairs d, ND_pairs *prest );
242: NODE update_base(NODE nd,int ndp);
243: ND_pairs update_pairs( ND_pairs d, NODE /* of index */ g, int t);
244: ND_pairs equivalent_pairs( ND_pairs d1, ND_pairs *prest );
245: ND_pairs crit_B( ND_pairs d, int s );
246: ND_pairs crit_M( ND_pairs d1 );
247: ND_pairs crit_F( ND_pairs d1 );
248: int crit_2( int dp1, int dp2 );
249: int ndv_newps(int m,NDV a,NDV aq);
250:
251: /* top level functions */
252: void nd_gr(LIST f,LIST v,int m,int f4,struct order_spec *ord,LIST *rp);
1.15 noro 253: void nd_gr_trace(LIST f,LIST v,int trace,int homo,int f4,struct order_spec *ord,LIST *rp);
1.1 noro 254: NODE nd_f4(int m);
255: NODE nd_gb(int m,int ishomo,int checkonly);
256: NODE nd_gb_trace(int m,int ishomo);
1.15 noro 257: NODE nd_f4_trace(int m);
1.1 noro 258:
259: /* ndl functions */
260: int ndl_weight(UINT *d);
261: void ndl_weight_mask(UINT *d);
262: void ndl_homogenize(UINT *d,UINT *r,int obpe,EPOS oepos,int weight);
263: void ndl_dehomogenize(UINT *p);
264: void ndl_reconstruct(UINT *d,UINT *r,int obpe,EPOS oepos);
265: INLINE int ndl_reducible(UINT *d1,UINT *d2);
266: INLINE int ndl_lex_compare(UINT *d1,UINT *d2);
267: INLINE int ndl_block_compare(UINT *d1,UINT *d2);
1.2 noro 268: INLINE int ndl_matrix_compare(UINT *d1,UINT *d2);
1.3 noro 269: INLINE int ndl_composite_compare(UINT *d1,UINT *d2);
1.1 noro 270: INLINE int ndl_equal(UINT *d1,UINT *d2);
271: INLINE void ndl_copy(UINT *d1,UINT *d2);
272: INLINE void ndl_zero(UINT *d);
273: INLINE void ndl_add(UINT *d1,UINT *d2,UINT *d);
274: INLINE void ndl_addto(UINT *d1,UINT *d2);
275: INLINE void ndl_sub(UINT *d1,UINT *d2,UINT *d);
276: INLINE int ndl_hash_value(UINT *d);
277:
278: /* normal forms */
279: INLINE int ndl_find_reducer(UINT *g);
280: int nd_sp(int mod,int trace,ND_pairs p,ND *nf);
1.16 noro 281: int nd_nf(int mod,ND d,ND g,NDV *ps,int full,NDC dn,ND *nf);
1.1 noro 282: int nd_nf_pbucket(int mod,ND g,NDV *ps,int full,ND *nf);
283:
284: /* finalizers */
285: NODE ndv_reducebase(NODE x);
286: NODE ndv_reduceall(int m,NODE f);
287:
288: /* allocators */
289: void nd_free_private_storage();
290: void _NM_alloc();
291: void _ND_alloc();
292: void nd_free(ND p);
293: void nd_free_redlist();
294:
295: /* printing */
296: void ndl_print(UINT *dl);
297: void nd_print(ND p);
1.11 noro 298: void nd_print_q(ND p);
1.1 noro 299: void ndp_print(ND_pairs d);
300:
301:
302: /* setup, reconstruct */
303: void nd_init_ord(struct order_spec *spec);
1.6 noro 304: ND_pairs nd_reconstruct(int trace,ND_pairs ndp);
1.18 noro 305: void ndv_setup(int mod,int trace,NODE f,int dont_sort,int dont_removecont);
1.1 noro 306: void nd_setup_parameters(int nvar,int max);
307: BlockMask nd_create_blockmask(struct order_spec *ord);
308: EPOS nd_create_epos(struct order_spec *ord);
309: int nd_get_exporigin(struct order_spec *ord);
310: void ndv_mod(int mod,NDV p);
311: NDV ndv_dup(int mod,NDV p);
312: ND nd_dup(ND p);
313:
314: /* ND functions */
315: int ndv_check_candidate(NODE input,int obpe,int oadv,EPOS oepos,NODE cand);
316: void nd_mul_c(int mod,ND p,int mul);
1.16 noro 317: void nd_mul_c_q(ND p,P mul);
1.1 noro 318: void nd_mul_c_p(VL vl,ND p,P mul);
319: ND nd_remove_head(ND p);
320: ND nd_separate_head(ND p,ND *head);
321: int nd_length(ND p);
322: void nd_append_red(UINT *d,int i);
323: UINT *ndv_compute_bound(NDV p);
1.4 noro 324: UINT *nd_compute_bound(ND p);
1.1 noro 325: ND nd_copy(ND p);
326: ND nd_merge(ND p1,ND p2);
327: ND nd_add(int mod,ND p1,ND p2);
1.11 noro 328: ND nd_add_q(ND p1,ND p2);
1.1 noro 329: ND nd_add_sf(ND p1,ND p2);
1.7 noro 330: ND nd_quo(int mod,PGeoBucket p,NDV d);
1.1 noro 331: INLINE int nd_length(ND p);
1.15 noro 332: NODE nd_f4_red(int m,ND_pairs sp0,int trace,UINT *s0vect,int col,NODE rp0,ND_pairs *nz);
333: NODE nd_f4_red_dist(int m,ND_pairs sp0,UINT *s0vect,int col,NODE rp0, ND_pairs *nz);
1.8 noro 334: NODE nd_f4_red_main(int m,ND_pairs sp0,int nsp,UINT *s0vect,int col,
1.15 noro 335: NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred,ND_pairs *nz);
336: NODE nd_f4_red_q_main(ND_pairs sp0,int nsp,int trace,UINT *s0vect,int col,
1.8 noro 337: NM_ind_pair *rvect,int *rhead,IndArray *imat,int nred);
1.1 noro 338:
339: /* NDV functions */
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);
342: void ndv_mul_c(int mod,NDV p,int mul);
1.11 noro 343: void ndv_mul_c_q(NDV p,Q mul);
1.1 noro 344: ND ndv_mul_nm_symbolic(NM m0,NDV p);
345: ND ndv_mul_nm(int mod,NM m0,NDV p);
1.5 noro 346: ND ndv_mul_nmv_trunc(int mod,NMV m0,NDV p,UINT *d);
1.1 noro 347: void ndv_realloc(NDV p,int obpe,int oadv,EPOS oepos);
348: NDV ndv_dup_realloc(NDV p,int obpe,int oadv,EPOS oepos);
349: void ndv_homogenize(NDV p,int obpe,int oadv,EPOS eops);
350: void ndv_dehomogenize(NDV p,struct order_spec *spec);
351: void ndv_removecont(int mod,NDV p);
352: void ndv_print(NDV p);
1.11 noro 353: void ndv_print_q(NDV p);
1.1 noro 354: void ndv_free(NDV p);
355: void ndv_save(NDV p,int index);
356: NDV ndv_load(int index);
357:
358: /* converters */
359: ND ptond(VL vl,VL dvl,P p);
360: NDV ptondv(VL vl,VL dvl,P p);
361: P ndvtop(int mod,VL vl,VL dvl,NDV p);
362: NDV ndtondv(int mod,ND p);
363: ND ndvtond(int mod,NDV p);
1.14 noro 364: Q *nm_ind_pair_to_vect(int m,UINT *s0,int n,NM_ind_pair pair);
1.1 noro 365: IndArray nm_ind_pair_to_vect_compress(int m,UINT *s0,int n,NM_ind_pair pair);
366: int nd_to_vect(int mod,UINT *s0,int n,ND d,UINT *r);
1.11 noro 367: int nd_to_vect_q(UINT *s0,int n,ND d,Q *r);
368: NDV vect_to_ndv_q(Q *vect,int spcol,int col,int *rhead,UINT *s0vect);
1.1 noro 369:
370: /* elimination */
1.15 noro 371: int nd_gauss_elim_mod(int **mat0,int *sugar,ND_pairs *spactive,int row,int col,int md,int *colstat);
1.1 noro 372: int nd_gauss_elim_sf(int **mat0,int *sugar,int row,int col,int md,int *colstat);
1.11 noro 373: int nd_gauss_elim_q(Q **mat0,int *sugar,int row,int col,int *colstat);
1.1 noro 374:
375: int ndl_ww_lex_compare(UINT *a1,UINT *a2);
1.8 noro 376:
1.1 noro 377:
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