Annotation of OpenXM_contrib2/asir2018/include/ca.h, Revision 1.12
1.1 noro 1: /*
2: * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
3: * All rights reserved.
4: *
5: * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
6: * non-exclusive and royalty-free license to use, copy, modify and
7: * redistribute, solely for non-commercial and non-profit purposes, the
8: * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
9: * conditions of this Agreement. For the avoidance of doubt, you acquire
10: * only a limited right to use the SOFTWARE hereunder, and FLL or any
11: * third party developer retains all rights, including but not limited to
12: * copyrights, in and to the SOFTWARE.
13: *
14: * (1) FLL does not grant you a license in any way for commercial
15: * purposes. You may use the SOFTWARE only for non-commercial and
16: * non-profit purposes only, such as academic, research and internal
17: * business use.
18: * (2) The SOFTWARE is protected by the Copyright Law of Japan and
19: * international copyright treaties. If you make copies of the SOFTWARE,
20: * with or without modification, as permitted hereunder, you shall affix
21: * to all such copies of the SOFTWARE the above copyright notice.
22: * (3) An explicit reference to this SOFTWARE and its copyright owner
23: * shall be made on your publication or presentation in any form of the
24: * results obtained by use of the SOFTWARE.
25: * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
27: * for such modification or the source code of the modified part of the
28: * SOFTWARE.
29: *
30: * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
31: * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
32: * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
33: * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
34: * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
35: * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
36: * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
37: * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
38: * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
39: * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
40: * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
41: * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
42: * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
43: * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
44: * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
45: * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
46: * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
47: *
1.12 ! noro 48: * $OpenXM: OpenXM_contrib2/asir2018/include/ca.h,v 1.11 2019/09/19 06:29:48 noro Exp $
1.1 noro 49: */
50: #include <stdio.h>
51: #include <stdlib.h>
52: #include <gmp.h>
53: #include <mpc.h>
54: #include <limits.h>
55:
56: /* from mpfr-impl.h */
57: #define MPFR_PREC(x) ((x)->_mpfr_prec)
58: #define MPFR_EXP(x) ((x)->_mpfr_exp)
59: #define MPFR_MANT(x) ((x)->_mpfr_d)
60: #define MPFR_LAST_LIMB(x) ((MPFR_PREC (x) - 1) / GMP_NUMB_BITS)
61: #define MPFR_LIMB_SIZE(x) (MPFR_LAST_LIMB (x) + 1)
62:
63: #define RAT_CEIL(nm,dn) (((nm)+(dn)-1)/((dn)))
64: #define MPFR_LIMB_SIZE_REAL(x) (RAT_CEIL(MPFR_PREC((x)),sizeof(mp_limb_t)*CHAR_BIT) * (sizeof(mp_limb_t)/sizeof(int)) )
65: #define MPFR_LIMB_SIZE_BODY(x) (RAT_CEIL(MPFR_PREC((x)),sizeof(unsigned int)*CHAR_BIT))
66:
67: #if defined(hpux)
68: #include <netinet/in.h>
69: # define setbuffer(FP,buf,siz) setvbuf(FP,buf,_IOFBF,siz)
70: #endif
71:
72: #if !defined(VISUAL) && !defined(__MINGW32__)
73: #include <unistd.h>
74: #include <sys/param.h>
75: #endif
76:
77: #if defined(linux) || (defined(sun) && !defined(SYSV)) || defined(news5000) || (defined(mips) && defined(ultrix))
78: #include <alloca.h>
79: #endif
80:
81: #if (defined(sun) && defined(SYSV))
82: #define alloca(x) __builtin_alloca(x)
83: #endif
84:
85: #if defined(VISUAL) || defined(__MINGW32__)
86: #include <limits.h>
87: #include <malloc.h>
88: #endif
89:
90: #if 0
91: #include <sys/types.h>
92: typedef caddr_t pointer;
93: #endif
94:
95:
96: typedef void * pointer;
97:
98: #if defined(sun)
99: #include <strings.h>
100: #else
101: #include <string.h>
102: #if defined(VISUAL) || defined(__MINGW32__)
103: #define index(s,c) strchr(s,c)
104: #define bzero(s,len) memset(s,0,len)
105: #define bcopy(x,y,len) memcpy(y,x,len)
106: #endif
107: #endif
108:
109: #define NULLP ((void *)0)
110:
111: #define TODO printf("%s: not implemented!\n", __func__)
112:
113: #define COPY(a,b) ((b)=(a))
114: #define FREEN(p)
115: #define FREEQ(p)
116: #define FREE(p)
117: #define INITRC(p)
118:
119: /* data structures */
120:
121: #define O_N 1
122: #define O_P 2
123: #define O_R 3
124: #define O_LIST 4
125: #define O_VECT 5
126: #define O_MAT 6
127: #define O_STR 7
128: #define O_COMP 8
129: #define O_DP 9
130: #define O_USINT 10
131: #define O_ERR 11
132: #define O_GF2MAT 12
133: #define O_MATHCAP 13
134: #define O_F 14
135: #define O_GFMMAT 15
136: #define O_BYTEARRAY 16
137: #define O_QUOTE 17
138: #define O_OPTLIST 18
139: #define O_SYMBOL 19
140: #define O_RANGE 20
141: #define O_TB 21
142: #define O_DPV 22
143: #define O_QUOTEARG 23
144: #define O_VOID -1
145: /* IMAT */
146: #define O_IMAT 24
147: /* IMAT */
148: #define O_NBP 25
149: #define O_DPM 26
150:
151: #define N_Q 0
152: #define N_R 1
153: #define N_A 2
154: #define N_B 3
155: #define N_NEXT_B (N_B)
156: #if defined(INTERVAL)
157: #define N_Quad (N_NEXT_B+1)
158: #define N_IP (N_NEXT_B+2)
159: #define N_IntervalDouble (N_NEXT_B+3)
160: #define N_IntervalQuad (N_NEXT_B+4)
161: #define N_IntervalBigFloat (N_NEXT_B+5)
162: #define N_PRE_C N_IntervalBigFloat
163: #define N_BASE (N_NEXT_B+5)
164: #else
165: #define N_BASE N_NEXT_B
166: #endif
167: #define N_C (N_BASE+1)
168: #define N_M (N_BASE+2)
169: #define N_LM (N_BASE+3)
170: #define N_GF2N (N_BASE+4)
171: #define N_GFPN (N_BASE+5)
172: #define N_GFS (N_BASE+6)
173: #define N_GFSN (N_BASE+7)
174: #define N_DA (N_BASE+8)
175: #define N_PARIB (N_BASE+11)
176:
177: #define G_Z 0
178: #define G_Q 1
179:
180: #define ORD_REVGRADLEX 0
181: #define ORD_GRADLEX 1
182: #define ORD_LEX 2
183:
184: typedef enum {
185: A_end=0,A_fnode,A_arf,A_int,A_str,A_internal,A_node,A_notimpl,A_func
186: } farg_type;
187:
188: #if SIZEOF_LONG == 8
189: typedef long L;
190: typedef unsigned long UL;
191: #elif defined(HAVE_UNSIGNED_LONG_LONG)
192: typedef long long L;
193: typedef unsigned long long UL;
194: #elif defined(_MSC_VER)
195: typedef _int64 L;
196: typedef unsigned _int64 UL;
197: #endif
198:
199: #if defined(__GNUC__) && SIZEOF_LONG == 8
200: typedef __uint128_t U128;
201: typedef __int64_t L64;
202: typedef __int128_t L128;
1.5 noro 203:
1.1 noro 204: #endif
205:
206: typedef struct oZ {
207: short id;
208: char nid;
209: char z;
210: mpz_t body;
211: } *Z;
212:
213: typedef struct oQ {
214: short id;
215: char nid;
216: char z;
217: mpq_t body;
218: } *Q;
219:
220: typedef struct oLM {
221: short id;
222: char nid;
223: char pad;
224: mpz_t body;
225: } *LM;
226:
227: typedef struct oUP2 {
228: int w;
229: unsigned int b[1];
230: } *UP2;
231:
232: typedef struct _oUP2 {
233: int w;
234: unsigned int *b;
235: } *_UP2;
236:
237: #define UP2_DENSE 0
238: #define UP2_SPARSE 1
239:
240: typedef struct oGEN_UP2 {
241: int id;
242: UP2 dense;
243: UP2 sparse;
244: } *GEN_UP2;
245:
246: typedef struct oV {
247: char *name;
248: pointer attr;
249: pointer priv;
250: } *V;
251:
252: typedef struct oReal {
253: short id;
254: char nid;
255: char pad;
256: double body;
257: } *Real;
258:
259: typedef struct oAlg {
260: short id;
261: char nid;
262: char pad;
263: struct oObj *body;
264: } *Alg;
265:
266: typedef struct oBF {
267: short id;
268: char nid;
269: char pad;
270: mpfr_t body;
271: } *BF;
272:
273: typedef struct oC {
274: short id;
275: char nid;
276: char pad;
277: struct oNum *r,*i;
278: } *C;
279:
280: typedef struct oGF2N {
281: short id;
282: char nid;
283: char pad;
284: struct oUP2 *body;
285: } *GF2N;
286:
287: typedef struct oGFPN {
288: short id;
289: char nid;
290: char pad;
291: struct oUP *body;
292: } *GFPN;
293:
294: typedef struct oDAlg {
295: short id;
296: char nid;
297: char pad;
298: struct oDP *nm;
299: struct oZ *dn;
300: } *DAlg;
301:
302: typedef struct oNum {
303: short id;
304: char nid;
305: char pad;
306: } *Num;
307:
308: typedef struct oMQ {
309: short id;
310: char nid;
311: char pad;
312: int cont;
313: } *MQ;
314:
315: typedef struct oGFS {
316: short id;
317: char nid;
318: char pad;
319: int cont;
320: } *GFS;
321:
322: typedef struct oGFSN {
323: short id;
324: char nid;
325: char pad;
326: struct oUM *body;
327: } *GFSN;
328:
329: typedef struct oP {
330: short id;
331: short pad;
332: V v;
333: struct oDCP *dc;
334: } *P;
335:
336: typedef struct oR {
337: short id;
338: short reduced;
339: P nm;
340: P dn;
341: } *R;
342:
343: typedef struct oVECT {
344: short id;
345: short pad;
346: int len;
347: pointer *body;
348: } *VECT;
349:
350: typedef struct oMAT {
351: short id;
352: short pad;
353: int row,col;
354: pointer **body;
355: } *MAT;
356:
357: typedef struct oGF2MAT {
358: short id;
359: short pad;
360: int row,col;
361: unsigned int **body;
362: } *GF2MAT, *GFMMAT;
363:
364: /* IMAT */
365: #define IMATCH 64
366:
367: typedef struct oIENT {
368: int cr;
369: int row, col;
370: pointer *body;
371: } IENT;
372:
373: typedef struct oIMATC {
374: pointer *fore;
375: pointer *next;
376: IENT ient[IMATCH];
377: } *IMATC;
378:
379: typedef struct oIMAT {
380: short id;
381: int row, col, clen;
382: pointer *root;
383: pointer *toor;
384: } *IMAT;
385: /* IMAT */
386: typedef struct oLIST {
387: short id;
388: short pad;
389: struct oNODE *body;
390: } *LIST;
391:
392: typedef struct oSTRING {
393: short id;
394: short pad;
395: char *body;
396: } *STRING;
397:
398: typedef struct oCOMP {
399: short id;
400: short type;
401: struct oObj *member[1];
402: } *COMP;
403:
404: typedef struct oDP {
405: short id;
406: short nv;
407: int sugar;
408: struct oMP *body;
409: } *DP;
410:
411: typedef struct oDPV {
412: short id;
413: int len;
414: int sugar;
415: struct oDP **body;
416: } *DPV;
417:
418:
419: typedef struct oUSINT {
420: short id;
421: short pad;
422: unsigned int body;
423: } *USINT;
424:
425: typedef struct oERR {
426: short id;
427: short pad;
428: struct oObj *body;
429: } *ERR;
430:
431: typedef struct oMATHCAP {
432: short id;
433: short pad;
434: struct oLIST *body;
435: } *MATHCAP;
436:
437: typedef struct oBYTEARRAY {
438: short id;
439: short pad;
440: int len;
441: unsigned char *body;
442: } *BYTEARRAY;
443:
444: typedef struct oQUOTE {
445: short id;
446: short pad;
447: pointer body;
448: } *QUOTE;
449:
450: typedef struct oQUOTEARG {
451: short id;
452: short pad;
453: farg_type type;
454: pointer body;
455: } *QUOTEARG;
456:
457: typedef struct oOPTLIST {
458: short id;
459: short pad;
460: struct oNODE *body;
461: } *OPTLIST;
462:
463: typedef struct oSYMBOL {
464: short id;
465: short pad;
466: char *name;
467: int value;
468: } *SYMBOL;
469:
470: typedef struct oRANGE {
471: short id;
472: short pad;
473: struct oObj *start,*end;
474: } *RANGE;
475:
476: typedef struct oTB {
477: short id;
478: short pad;
479: int size,next;
480: char **body;
481: } *TB;
482:
483: typedef struct oNBP {
484: short id;
485: short pad;
486: struct oNODE *body;
487: } *NBP;
488:
489: /* non-commutative bivariate monomial */
490:
491: typedef struct oNBM {
492: int d;
493: P c;
494: unsigned int *b;
495: } *NBM;
496:
497: #define NEWNBM(p) ((p)=(NBM)MALLOC(sizeof(struct oNBM)))
498: #define NEWNBMBDY(p,d) \
499: ((p)->b=(unsigned int *)MALLOC((((d)+31)/32)*sizeof(unsigned int)))
500: #define NEWNBP(p) ((p)=(NBP)MALLOC(sizeof(struct oNBP)),OID(p)=O_NBP)
501: #define MKNBP(p,b) (NEWNBP(p),BDY(p)=(b))
502:
503: #define NBM_GET(a,j) (((a)[(j)>>5]&(1<<((j)&31)))?1:0)
504: #define NBM_SET(a,j) ((a)[(j)>>5]|=(1<<((j)&31)))
505: #define NBM_CLR(a,j) ((a)[(j)>>5]&=(~(1<<((j)&31))))
506:
507: typedef struct oObj {
508: short id;
509: short pad;
510: } *Obj;
511:
512: typedef struct oDCP {
513: Z d;
514: P c;
515: struct oDCP *next;
516: } *DCP;
517:
518: typedef struct oMP {
519: struct oDL *dl;
520: Obj c;
521: struct oMP *next;
522: } *MP;
523:
524: typedef struct oDPM {
525: short id;
526: short nv;
527: int sugar;
528: struct oDMM *body;
529: } *DPM;
530:
531: typedef struct oDMM {
532: int pos;
533: struct oDL *dl;
534: Obj c;
535: struct oDMM *next;
536: } *DMM;
537:
1.9 noro 538: typedef struct oDMMstack {
539: int rank,ordtype;
540: DMM *in;
1.11 noro 541: LIST obj;
1.9 noro 542: struct oDMMstack *next;
543: } *DMMstack;
544:
1.1 noro 545: typedef struct oDL {
546: int td;
547: int d[1];
548: } *DL;
549:
550: struct dp_pairs {
551: int dp1, dp2;
552: DL lcm;
553: int sugar;
554: struct dp_pairs *next;
555: };
556:
557: typedef struct dp_pairs *DP_pairs;
558:
559: struct p_pair {
560: struct oUM *p0;
561: struct oUM *p1;
562: struct p_pair *next;
563: };
564:
565: struct oMF {
566: int m;
567: P f;
568: };
569:
570: /*
571: * compressed DP
572: */
573:
574: typedef struct oCDP {
575: int len;
576: long psindex;
577: unsigned int *body;
578: } *CDP;
579:
580: typedef struct oCM {
581: int index;
582: int c;
583: } *CM;
584:
585: /* bucket list for DL */
586:
587: typedef struct oDLBUCKET {
588: int td;
589: struct oNODE *body;
590: struct oDLBUCKET *next;
591: } *DLBUCKET;
592:
593: typedef struct oGeoBucket {
594: int m;
595: struct oNODE *body[32];
596: } *GeoBucket;
597:
598: typedef struct oVL {
599: V v;
600: struct oVL *next;
601: } *VL;
602:
603: typedef struct oNODE {
604: pointer body;
605: struct oNODE *next;
606: } *NODE;
607:
1.12 ! noro 608: typedef struct oNODE2 {
! 609: pointer body1,body2;
! 610: struct oNODE2 *next;
! 611: } *NODE2;
! 612:
1.1 noro 613: /* univariate poly over small finite field; dense */
614: typedef struct oUM {
615: int d;
616: int c[1];
617: } *UM;
618:
619: /* univariate poly with nadic coeff */
620: typedef struct oLUM {
621: int d;
622: int *c[1];
623: } *LUM;
624:
625: /* bivariate poly over small finite field; dense */
626:
627: typedef struct oBM {
628: int d;
629: UM c[1];
630: } *BM;
631:
632: typedef struct oML {
633: int n;
634: int mod;
635: int bound;
636: pointer c[1];
637: } *ML;
638:
639: typedef struct oUB {
640: int d;
641: Z c[1];
642: } *UB;
643:
644: typedef struct oVN {
645: V v;
646: int n;
647: } *VN;
648:
649: typedef struct oUP {
650: int d;
651: Num c[1];
652: } *UP;
653:
654: typedef struct oDUM {
655: int n;
656: UM f;
657: } *DUM;
658:
659: struct order_pair {
660: int order, length;
661: };
662:
663: struct sparse_weight {
664: int pos, value;
665: };
666:
667: #define IS_DENSE_WEIGHT 0
668: #define IS_SPARSE_WEIGHT 1
669: #define IS_BLOCK 2
670:
671: struct weight_or_block {
672: int type;
673: int length;
674: union {
675: int *dense_weight;
676: struct sparse_weight *sparse_weight;
677: struct {
678: int order, start;
679: } block;
680: } body;
681: };
682:
683: struct order_spec {
684: int id;
685: Obj obj;
686: int nv;
1.11 noro 687: int module_ordtype; /* 0=TOP, 1=POT, 2=wPOT, 3=Schreyer */
1.1 noro 688: int pot_nelim; /* size of positions for pot-elimination order */
689: int *top_weight;
690: int module_rank;
691: int *module_top_weight;
1.11 noro 692: struct order_spec *base; /* for schreyer order */
693: DMMstack dmmstack;
1.1 noro 694: union {
695: int simple;
696: struct {
697: int length;
698: struct order_pair *order_pair;
699: } block;
700: struct {
701: int row;
702: int **matrix;
703: } matrix;
704: struct {
705: int length;
706: struct weight_or_block *w_or_b;
707: } composite;
708: } ord;
709: };
710:
711: struct modorder_spec {
712: /* id : ORD_REVGRADLEX, ORD_GRADLEX, ORD_LEX */
713: int id;
714: Obj obj;
715: int len;
716: int *degree_shift;
717: };
718:
719: typedef struct oNumberField {
720: int n;
721: int psn;
722: int dim;
723: VL vl;
724: P *defpoly;
725: DP *mb;
726: DP *ps;
727: struct oDAlg *one;
728: NODE ind;
729: struct order_spec *spec;
730: } *NumberField;
731:
732: /* structure for cputime */
733:
734: struct oEGT {
735: double exectime,gctime;
736: };
737:
738: /* constant */
739:
740: /* ground finite field specification */
741: #define FF_NOT_SET 0
742: #define FF_GFP 1
743: #define FF_GF2N 2
744: #define FF_GFPN 3
745: #define FF_GFS 4
746: #define FF_GFSN 5
747:
748: /* include interval.h */
749: #include "interval.h"
750:
751: #define INDEX 100
752:
753: #if defined(USE_FLOAT)
754: typedef float ModNum;
755: #define NPrimes 536
756: #else
757: typedef unsigned int ModNum;
758: #define NPrimes 13681
759: #endif
760:
761: /* general macros */
762: #if defined(MAX)
763: #undef MAX
764: #endif
765: #if defined(MIN)
766: #undef MIN
767: #endif
768: #define MAX(a,b) ((a) > (b) ? (a) : (b) )
769: #define MIN(a,b) ((a) > (b) ? (b) : (a) )
770: #ifdef ABS
771: #undef ABS
772: #endif
773: #define ABS(a) ((a)>0?(a):-(a))
774: #define ID(p) ((p)->id)
775: #define OID(p) (((Obj)(p))->id)
776: #define NID(p) (((Num)(p))->nid)
777: #define BDY(p) ((p)->body)
778: #define VR(p) ((p)->v)
779: #define NAME(p) ((p)->name)
780: #define NEXT(p) ((p)->next)
781: #define NM(q) ((q)->nm)
782: #define DN(q) ((q)->dn)
783: #define SGN(q) ((q)->sgn)
784: #define DC(p) ((p)->dc)
785: #define COEF(p) ((p)->c)
786: #define DEG(p) ((p)->d)
787: #define CONT(a) ((a)->cont)
1.4 noro 788: #define UDEG(f) ZTOS(DEG(DC(f)))
1.1 noro 789: #define UCOEF(f) (COEF(DC(f)))
790: #define LC(f) (NUM(f)?(f):COEF(DC(f)))
791:
792: /* memory allocators (W_... : uses alloca) */
793:
794: #define MALLOC(d) Risa_GC_malloc(d)
795: #define MALLOC_ATOMIC(d) Risa_GC_malloc_atomic(d)
796: #define MALLOC_ATOMIC_IGNORE_OFF_PAGE(d) Risa_GC_malloc_atomic_ignore_off_page(d)
797: #define REALLOC(p,d) Risa_GC_realloc(p,d)
798: #define GCFREE(p) Risa_GC_free(p)
799: #define CALLOC(d,e) MALLOC((d)*(e))
800:
801: #if 0
802: #if !defined(__CYGWIN__) && (defined(__GNUC__) || defined(vax) || defined(apollo) || defined(alloca) || defined(VISUAL) || defined(__MINGW32__))
803: #define ALLOCA(d) alloca(d)
804: #else
805: #define ALLOCA(d) MALLOC(d)
806: #endif
807: #endif
808:
809: #define ALLOCA(d) MALLOC(d)
810:
811: /* for handling signals */
812: #if defined(HAVE_SIGACTION) /* POSIX */
813: void (*set_signal(int sig, void (*handler)(int)))(int);
814: #define set_signal_for_restart(x,y) (0)
815: #else
816: #define set_signal(x,y) (signal(x,y))
817: #define set_signal_for_restart(x,y) (signal(x,y))
818: #endif
819:
820: /* for setjmp/longjmp compatibility */
821: #if defined(__CYGWIN__) || defined(HAVE_SIGACTION) || (defined(__x86_64) && !defined(__MINGW32__))
822: #define JMP_BUF sigjmp_buf
823: #define SETJMP(x) sigsetjmp(x,~0)
824: #define LONGJMP(x,y) siglongjmp(x,y)
825: #else
826: #define JMP_BUF jmp_buf
827: #define SETJMP(x) setjmp(x)
828: #define LONGJMP(x,y) longjmp(x,y)
829: #endif
830:
831: #define TRUESIZE(type,n,atype) (sizeof(struct type)+MAX((n),0)*sizeof(atype))
832: #define UMALLOC(d) ((UM)MALLOC(TRUESIZE(oUM,d,int)))
833: #define UPALLOC(d) ((UP)MALLOC(TRUESIZE(oUP,(d),Num)))
834: #define C_UMALLOC(d) ((UM)MALLOC(TRUESIZE(oUM,d,int)))
835: #define MLALLOC(d) ((ML)MALLOC(TRUESIZE(oML,d,pointer)))
836:
837: #define W_ALLOC(d) ((int *)ALLOCA(((d)+1)*sizeof(int)))
838: #define W_CALLOC(n,type,p) \
839: ((p)=(type *)ALLOCA(((n)+1)*sizeof(type)),\
840: bzero((char *)(p),(int)(((n)+1)*sizeof(type))))
841: #define W_UMALLOC(d) ((UM)ALLOCA(TRUESIZE(oUM,d,int)))
842: #define W_UPALLOC(d) ((UP)ALLOCA(TRUESIZE(oUP,(d),Num)))
843: #define W_MLALLOC(d) ((ML)ALLOCA(TRUESIZE(oML,d,pointer)))
844: #define W_LUMALLOC(n,bound,p)\
845: {\
846: LUM ___q___;\
847: int ___i___,**___c___;\
848: (___q___) = (LUM)ALLOCA(TRUESIZE(oLUM,(n),int *));\
849: DEG(___q___) = n;\
850: for ( ___i___ = 0, ___c___ = (int **)COEF(___q___); ___i___ <= n; ___i___++ ) {\
851: ___c___[___i___] = (int *)ALLOCA(((bound)+1)*sizeof(int));\
852: bzero((char *)___c___[___i___],((bound)+1)*sizeof(int));\
853: }\
854: (p) = ___q___;\
855: }
856:
857: #define W_BMALLOC(dx,dy,p)\
858: {\
859: BM ___q___;\
860: int ___i___;\
861: UM *___c___;\
862: (___q___) = (BM)ALLOCA(TRUESIZE(oBM,(dy),UM));\
863: DEG(___q___) = dy;\
864: ___c___ = (UM *)COEF(___q___);\
865: for ( ___i___ = 0; ___i___ <= dy; ___i___++ ) {\
866: ___c___[___i___] = W_UMALLOC(dx);\
867: clearum(___c___[___i___],dx);\
868: }\
869: (p) = ___q___;\
870: }
871:
872: #define NEWUP2(q,w)\
873: ((q)=(UP2)MALLOC_ATOMIC(TRUESIZE(oUP2,(w)-1,unsigned int)),\
874: bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
875: #define W_NEWUP2(q,w)\
876: ((q)=(UP2)ALLOCA(TRUESIZE(oUP2,(w)-1,unsigned int)),\
877: bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
878: #define W_NEW_UP2(q,w)\
879: ((q).b=(unsigned int *)ALLOCA((w)*sizeof(unsigned int)))
880:
881: /* cell allocators */
882: #define NEWZ(q) ((q)=(Z)MALLOC(sizeof(struct oZ)),OID(q)=O_N,NID(q)=N_Q,(q)->z=1,mpz_init((q)->body))
883: #define NEWQ(q) ((q)=(Q)MALLOC(sizeof(struct oQ)),OID(q)=O_N,NID(q)=N_Q,(q)->z=0,mpq_init((q)->body))
884: #define NEWMQ(q) ((q)=(MQ)MALLOC_ATOMIC(sizeof(struct oMQ)),OID(q)=O_N,NID(q)=N_M)
885: #define NEWGFS(q) ((q)=(GFS)MALLOC_ATOMIC(sizeof(struct oGFS)),OID(q)=O_N,NID(q)=N_GFS)
886: #define NEWGFSN(q) ((q)=(GFSN)MALLOC(sizeof(struct oGFSN)),OID(q)=O_N,NID(q)=N_GFSN)
887: #define NEWP(p) ((p)=(P)MALLOC(sizeof(struct oP)),OID(p)=O_P)
888: #define NEWR(r) ((r)=(R)MALLOC(sizeof(struct oR)),OID(r)=O_R,(r)->reduced=0)
889: #define NEWLIST(l) ((l)=(LIST)MALLOC(sizeof(struct oLIST)),OID(l)=O_LIST)
890: #define NEWVECT(l) ((l)=(VECT)MALLOC(sizeof(struct oVECT)),OID(l)=O_VECT)
891: #define NEWSTR(l) ((l)=(STRING)MALLOC(sizeof(struct oSTRING)),OID(l)=O_STR)
892: #define NEWCOMP(c,n) ((c)=(COMP)MALLOC(sizeof(struct oCOMP)+((n)-1)*sizeof(Obj)),OID(c)=O_COMP)
893: #define NEWDP(d) ((d)=(DP)MALLOC(sizeof(struct oDP)),OID(d)=O_DP)
894: #define NEWDPV(d) ((d)=(DPV)MALLOC(sizeof(struct oDPV)),OID(d)=O_DPV)
895: #define NEWDPM(d) ((d)=(DPM)MALLOC(sizeof(struct oDPM)),OID(d)=O_DPM)
896: #define NEWUSINT(u) ((u)=(USINT)MALLOC_ATOMIC(sizeof(struct oUSINT)),OID(u)=O_USINT)
897: #define NEWERR(e) ((e)=(ERR)MALLOC(sizeof(struct oERR)),OID(e)=O_ERR)
898: #define NEWMATHCAP(e) ((e)=(MATHCAP)MALLOC(sizeof(struct oMATHCAP)),OID(e)=O_MATHCAP)
899: #define NEWBYTEARRAY(e) ((e)=(BYTEARRAY)MALLOC(sizeof(struct oBYTEARRAY)),OID(e)=O_BYTEARRAY)
900: #define NEWQUOTE(e) ((e)=(QUOTE)MALLOC(sizeof(struct oQUOTE)),OID(e)=O_QUOTE)
901: #define NEWQUOTEARG(e) ((e)=(QUOTEARG)MALLOC(sizeof(struct oQUOTEARG)),OID(e)=O_QUOTEARG)
902: #define NEWOPTLIST(l) ((l)=(OPTLIST)MALLOC(sizeof(struct oOPTLIST)),OID(l)=O_OPTLIST)
903: #define NEWSYMBOL(l) ((l)=(SYMBOL)MALLOC(sizeof(struct oSYMBOL)),OID(l)=O_SYMBOL)
904: #define NEWRANGE(l) ((l)=(RANGE)MALLOC(sizeof(struct oRANGE)),OID(l)=O_RANGE)
905: #define NEWTB(l) ((l)=(TB)MALLOC(sizeof(struct oTB)),OID(l)=O_TB,(l)->size=256,(l)->next=0,(l)->body=(char **)MALLOC((l)->size*sizeof(char *)))
906:
907: #define NEWNODE(a) ((a)=(NODE)MALLOC(sizeof(struct oNODE)))
908: #define NEWDC(dc) ((dc)=(DCP)MALLOC(sizeof(struct oDCP)))
909: #define NEWV(v) ((v)=(V)MALLOC(sizeof(struct oV)))
910: #define NEWVL(vl) ((vl)=(VL)MALLOC(sizeof(struct oVL)))
911: #define NEWMP(m) ((m)=(MP)MALLOC(sizeof(struct oMP)))
912: #define NEWDMM(m) ((m)=(DMM)MALLOC(sizeof(struct oDMM)))
1.9 noro 913: #define NEWDMMstack(m) ((m)=(DMMstack)MALLOC(sizeof(struct oDMMstack)))
1.1 noro 914: #define NEWDLBUCKET(a) ((a)=(DLBUCKET)MALLOC(sizeof(struct oDLBUCKET)))
915: #define NEWDPP(a) ((a)=(DP_pairs)MALLOC(sizeof(struct dp_pairs)))
916:
917: #define NEWMAT(l) ((l)=(MAT)MALLOC(sizeof(struct oMAT)),OID(l)=O_MAT)
918: #define NEWGF2MAT(l) ((l)=(GF2MAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GF2MAT)
919: #define NEWGFMMAT(l) ((l)=(GFMMAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GFMMAT)
920: /* IMAT */
921: #define NEWIMAT(l) ((l)=(IMAT)MALLOC(sizeof(struct oIMAT)),OID(l)=O_IMAT,l->clen=0,l->root=0,l->toor=0)
922: #define NEWIENT(l) ((l)=(IMATC)MALLOC(sizeof(struct oIMATC)),l->fore=0,l->next=0)
923: /* IMAT */
924: #define NEWReal(q) ((q)=(Real)MALLOC_ATOMIC(sizeof(struct oReal)),OID(q)=O_N,NID(q)=N_R)
925: #define NEWAlg(r) ((r)=(Alg)MALLOC(sizeof(struct oAlg)),OID(r)=O_N,NID(r)=N_A)
926: #define NEWDAlg(r) ((r)=(DAlg)MALLOC(sizeof(struct oDAlg)),OID(r)=O_N,NID(r)=N_DA)
927: #define NEWBF(q) ((q)=(BF)MALLOC(sizeof(struct oBF)),OID(q)=O_N,NID(q)=N_B)
928: #define NEWPARIBF(q,l) ((q)=(BF)MALLOC_ATOMIC(TRUESIZE(oBF,(l)-1,long)),OID(q)=O_N,NID(q)=N_PARIB)
929: #define NEWC(r) ((r)=(C)MALLOC(sizeof(struct oC)),OID(r)=O_N,NID(r)=N_C)
930: #define NEWLM(r) ((r)=(LM)MALLOC(sizeof(struct oLM)),OID(r)=O_N,NID(r)=N_LM)
931: #define NEWGF2N(r) ((r)=(GF2N)MALLOC(sizeof(struct oGF2N)),OID(r)=O_N,NID(r)=N_GF2N)
932: #define NEWGFPN(r) ((r)=(GFPN)MALLOC(sizeof(struct oGFPN)),OID(r)=O_N,NID(r)=N_GFPN)
933: #define NEWDL(d,n) \
934: ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)),bzero((char *)(d),TRUESIZE(oDL,(n)-1,int)))
935: #define NEWDL_NOINIT(d,n) \
936: ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)))
937:
938: #define MKP(v,dc,p) \
939: ((!DEG(dc)&&!NEXT(dc))?((p)=COEF(dc)):(NEWP(p),VR(p)=(v),DC(p)=(dc),(p)))
940: #define MKV(v,p) \
941: (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
942: DEG(DC(p))=ONE,COEF(DC(p))=(P)ONE,NEXT(DC(p))=0)
943: #define MKRAT(n,d,r,p) \
944: (NEWR(p),NM(p)=(n),DN(p)=(d),(p)->reduced=(r))
945: #define MKMV(v,p) \
946: (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
947: DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
948: #define MKNODE(a,b,c) \
949: (NEWNODE(a),(a)->body=(pointer)b,NEXT(a)=(NODE)(c))
1.12 ! noro 950: #define NEWNODE2(a) ((a)=(NODE2)MALLOC(sizeof(struct oNODE2)))
! 951: #define MKNODE2(a,b,c,d) \
! 952: (NEWNODE2(a),(a)->body1=(pointer)b,(a)->body2=(pointer)c,NEXT(a)=(NODE2)(d))
! 953: #define BDY1(a) ((a)->body1)
! 954: #define BDY2(a) ((a)->body2)
1.1 noro 955: #define MKLIST(a,b) (NEWLIST(a),(a)->body=(NODE)(b))
956: #define MKVECT(m,l) \
957: (NEWVECT(m),(m)->len=(l),(m)->body=(pointer *)CALLOC((l),sizeof(pointer)))
958: #define MKMAT(m,r,c) \
959: (NEWMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(pointer **)almat_pointer((r),(c)))
960: #define TOGF2MAT(r,c,b,m) (NEWGF2MAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
961: #define TOGFMMAT(r,c,b,m) (NEWGFMMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
962: #define MKSTR(a,b) (NEWSTR(a),(a)->body=(char *)(b))
963: #define MKDP(n,m,d) (NEWDP(d),(d)->nv=(n),BDY(d)=(m))
964: #define MKDPV(len,m,d) (NEWDPV(d),(d)->len=(len),BDY(d)=(m))
965: #define MKDPM(n,m,d) (NEWDPM(d),(d)->nv=(n),BDY(d)=(m))
966: #define MKLM(b,l) (!(b)?(l)=0:(NEWLM(l),(l)->body[0]=(b)[0],(l)))
967: #define MKGF2N(b,l) (!(b)?(l)=0:(NEWGF2N(l),(l)->body=(b),(l)))
968: #define MKGFPN(b,l) (!(b)?(l)=0:(NEWGFPN(l),(l)->body=(b),(l)))
969: #define MKUSINT(u,b) (NEWUSINT(u),(u)->body=(unsigned)(b))
970: #define MKERR(e,b) (NEWERR(e),(e)->body=(Obj)(b))
971: #define MKMATHCAP(e,b) (NEWMATHCAP(e),(e)->body=(LIST)(b))
972: #define MKBYTEARRAY(m,l) \
973: (NEWBYTEARRAY(m),(m)->len=(l),(m)->body=(unsigned char *)MALLOC_ATOMIC((l)),bzero((m)->body,(l)))
974: #define MKQUOTE(q,b) (NEWQUOTE(q),(q)->body=(pointer)(b))
975: #define MKQUOTEARG(q,t,b) (NEWQUOTEARG(q),(q)->type=(t),(q)->body=(pointer)(b))
976:
977: #define NEXTDC(r,c) \
978: if(!(r)){NEWDC(r);(c)=(r);}else{NEWDC(NEXT(c));(c)=NEXT(c);}
979: #define NEXTNODE(r,c) \
980: if(!(r)){NEWNODE(r);(c)=(r);}else{NEWNODE(NEXT(c));(c)=NEXT(c);}
981: #define NEXTMP(r,c) \
982: if(!(r)){NEWMP(r);(c)=(r);}else{NEWMP(NEXT(c));(c)=NEXT(c);}
983: #define NEXTMP2(r,c,s) \
984: if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
985: #define NEXTDLBUCKET(r,c) \
986: if(!(r)){NEWDLBUCKET(r);(c)=(r);}else{NEWDLBUCKET(NEXT(c));(c)=NEXT(c);}
987: #define NEXTVL(r,c) \
988: if(!(r)){NEWVL(r);(c)=(r);}else{NEWVL(NEXT(c));(c)=NEXT(c);}
989: #define NEXTDPP(r,c) \
990: if(!(r)){NEWDPP(r);(c)=(r);}else{NEWDPP(NEXT(c));(c)=NEXT(c);}
991: #define NEXTDMM(r,c) \
992: if(!(r)){NEWDMM(r);(c)=(r);}else{NEWDMM(NEXT(c));(c)=NEXT(c);}
993:
994: /* convertors */
995: #define NTOQ(n,s,z) (!(n)?((z)=0):((s)<0?mpz_neg(BDY(n),BDY(n)):0,MPZTOZ(n,z)))
996: #define NDTOQ(n,s,q) (!(n)?((q)=0):((s)<0?mpz_neg(BDY(n),BDY(n)):0,MPDNTOQ(n,d,q)))
997:
998: #define DUPZ(p,q) (NEWZ(q),BDY(q)=BDY(p))
999: #define DUPQ(p,q) (NEWQ(q),BDY(q)=BDY(p))
1000:
1.8 ohara 1001: #define STOZ(n,q) ((!(n))?(void)((q)=0):(NEWZ(q),mpz_set_si(BDY(q),n)))
1002: #define UTOZ(n,q) ((!(n))?(void)((q)=0):(NEWZ(q),mpz_set_ui(BDY(q),n)))
1.1 noro 1003:
1004: /* for initializing static object */
1.4 noro 1005: #define STOZ0(n,q) (OID(q)=O_N,NID(q)=N_Q,(q)->z=1,mpz_init(BDY(q)),mpz_set_si(BDY(q),n))
1.1 noro 1006: #define STOLM0(n,q) (OID(q)=O_N,NID(q)=N_LM,mpz_init(BDY(q)),mpz_set_si(BDY(q),n))
1007:
1.4 noro 1008: #define ZTOS(q) (!(q)?0:((q)->z==1?mpz_get_si(BDY((Z)q)):(error("ZTOS : invalid argument"),0)))
1.1 noro 1009: #define LMTOS(q) (!(q)?0:mpz_get_si(BDY(q)))
1010:
1011: #define UTOMQ(a,b) ((a)?(NEWMQ(b),CONT(b)=(unsigned int)(a),(b)):((b)=0))
1012: #define MKGFS(a,b) ((NEWGFS(b),CONT(b)=(a),(b)))
1013: #define MKGFSN(a,b) ((DEG(a)>=0)?(NEWGFSN(b),BDY(b)=(a),(b)):((b)=0))
1014: #define STOMQ(a,b) ((a)?(NEWMQ(b),CONT(b)=(a),(b)):((b)=0))
1015:
1016:
1017: #define PTOR(a,b) (!(a)?((b)=0):(NEWR(b),NM(b)=(a),DN(b)=(P)ONE,(b)->reduced=1,(b)))
1018:
1019: #define MKReal(a,b) (!(a)?((b)=0):(NEWReal(b),BDY(b)=(a),(b)))
1020: #define MKAlg(b,r) (!(b)?((r)=0):NUM(b)?((r)=(Alg)(b)):(NEWAlg(r),BDY(r)=(Obj)(b),(r)))
1021: #define MKDAlg(dp,den,r) (!(dp)?(void *)((r)=0):(void *)(NEWDAlg(r),(r)->nm = (dp),(r)->dn=(den)))
1022:
1023: #define IMM_MAX 1073741823
1024: #define IMM_MIN -1073741823
1025:
1026: #define SL(n) ((n)->p)
1027:
1028: #define ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):BIGFLOAT(a)?mpfrtodbl(BDY((BF)a)):0)
1029:
1030: /* predicates */
1031: #define NUM(p) (OID(p)==O_N)
1032: #define RAT(p) (OID(p)==O_R)
1033: #define RATN(a) (NID((Num)a)==N_Q)
1034: #define POLY(a) (!(a) ||(OID(a)<=O_P))
1035: #define INT(q) (!(q)||(NUM(q)&&NID((Num)q)==N_Q&&((Q)q)->z))
1036: #define REAL(a) (NID((Num)a)==N_R)
1037: #define BIGFLOAT(a) (NID((Num)a)==N_B)
1038: #define SFF(a) (NID((Num)a)==N_M)
1039: #define UNIZ(q) ((q)&&INT(q)&&mpz_cmp_si((BDY((Z)(q))),1)==0)
1040: #define MUNIZ(q) ((q)&&INT(q)&&mpz_cmp_si((BDY((Z)(q))),-1)==0)
1041: #define UNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==1))
1042: #define MUNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==-1))
1043: #define EVENZ(n) ((!(n))||(INT(n)&&mpz_tstbit(((Z)(n))->body,0)==0))
1.7 noro 1044: #define UNIMPZ(q) (mpz_cmp_si(q,1)==0)
1045: #define MUNIMPZ(q) (mpz_cmp_si(q,-1)==0)
1.1 noro 1046:
1047: /* special macros for private memory management */
1048:
1049: #define NV(p) ((p)->nv)
1050: #define C(p) ((p)->c)
1051: #if 0
1052: #define ITOS(p) (((unsigned long)(p))&0x7fffffff)
1053: #define STOI(i) ((P)((unsigned long)(i)|0x80000000))
1054: #else
1055: #define ITOS(p) (((unsigned long)(p)))
1056: #define STOI(i) ((P)((unsigned long)(i)))
1057: #endif
1058:
1059: /* immediate GFS representation */
1060:
1061: #define IFTOF(p) ((int)(((unsigned long)(p))&0x7fffffff))
1062: #define FTOIF(i) ((int)(((unsigned long)(i)|0x80000000)))
1063:
1064: struct cdl {
1065: Obj c;
1066: DL d;
1067: };
1068:
1069: struct cdlm {
1070: int c;
1071: DL d;
1072: };
1073:
1074: extern MP _mp_free_list;
1075: extern DP _dp_free_list;
1076: extern DL _dl_free_list;
1077: extern int current_dl_length;
1078:
1079: #define _NEWDL_NOINIT(d,n) if ((n)!= current_dl_length){_dl_free_list=0; current_dl_length=(n);} if(!_dl_free_list)_DL_alloc(); (d)=_dl_free_list; _dl_free_list = *((DL *)_dl_free_list)
1080: #define _NEWDL(d,n) if ((n)!= current_dl_length){_dl_free_list=0; current_dl_length=(n);} if(!_dl_free_list)_DL_alloc(); (d)=_dl_free_list; _dl_free_list = *((DL *)_dl_free_list); bzero((d),(((n)+1)*sizeof(int)))
1081: #define _NEWMP(m) if(!_mp_free_list)_MP_alloc(); (m)=_mp_free_list; _mp_free_list = NEXT(_mp_free_list)
1082: #define _MKDP(n,m,d) if(!_dp_free_list)_DP_alloc(); (d)=_dp_free_list; _dp_free_list = (DP)BDY(_dp_free_list); (d)->id = O_DP; (d)->nv=(n); BDY(d)=(m)
1083:
1084: #define _NEXTMP(r,c) \
1085: if(!(r)){_NEWMP(r);(c)=(r);}else{_NEWMP(NEXT(c));(c)=NEXT(c);}
1086:
1087: #define _NEXTMP2(r,c,s) \
1088: if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
1089:
1090: #define _FREEDL(m) *((DL *)m)=_dl_free_list; _dl_free_list=(m)
1091: #define _FREEMP(m) NEXT(m)=_mp_free_list; _mp_free_list=(m)
1092: #define _FREEDP(m) BDY(m)=(MP)_dp_free_list; _dp_free_list=(m)
1093:
1094: #define MUL_WEIGHT(a,i) (current_dl_weight_vector?(a)*current_dl_weight_vector[i]:(a))
1095:
1096: /* externals */
1097: #if 0
1098: double NatToReal();
1099: double RatnToReal();
1100: #endif
1101:
1102: extern struct oR oUNIR;
1103: extern struct oZ oUNIZ;
1104: extern struct oMQ oUNIMQ;
1105: extern struct oN oUNIN;
1106: extern struct oUP2 oONEUP2;
1107: extern struct oV oVAR[];
1108: extern struct oV oPVAR[];
1109: extern struct oVL oVLIST[];
1110: extern struct oVL oPVLIST[];
1111: extern VL CO,ALG,LASTCO;
1112: extern VL PVL;
1113: extern R ONER;
1114: extern Z ONE;
1115: extern Z TWO;
1116: extern MQ ONEM;
1117: extern LM ONELM;
1118: extern UP2 ONEUP2;
1119: extern mpz_t ONEMPZ;
1120:
1121: extern FILE *asir_out;
1122: #if defined(__GNUC__)
1123: extern const int sprime[];
1124: #else
1125: extern int sprime[];
1126: #endif
1127:
1128: extern void (*addnumt[])();
1129: extern void (*subnumt[])();
1130: extern void (*mulnumt[])();
1131: extern void (*divnumt[])();
1132: extern void (*pwrnumt[])();
1133: extern int (*cmpnumt[])();
1134: extern void (*chsgnnumt[])();
1135:
1136: extern int current_mod;
1137: extern GEN_UP2 current_mod_gf2n;
1138: extern int lm_lazy;
1139: extern int current_ff;
1140: extern V up_var;
1141: extern V up2_var;
1142: extern P current_gfs_ext;
1143: extern int current_gfs_p;
1144: extern int current_gfs_q;
1145: extern int current_gfs_q1;
1146: extern int *current_gfs_plus1;
1147: extern int *current_gfs_ntoi;
1148: extern int *current_gfs_iton;
1149:
1150: extern int *current_dl_weight_vector;
1151:
1152: /* prototypes */
1153: int compui(VL,USINT,USINT);
1154: int compbytearray(VL,BYTEARRAY,BYTEARRAY);
1155:
1156: void powermodup(UP,UP *);
1157: void hybrid_powermodup(UP,UP *);
1158:
1159: void powertabup(UP,UP,UP *);
1160: void hybrid_powertabup(UP,UP,UP *);
1161:
1162: void powermod1up(UP,UP *);
1163: void hybrid_rembymulup_special(int,UP,UP,UP,UP *);
1164: void hybrid_tmulup(int,UP,UP,int,UP *);
1165: void hybrid_squareup(int,UP,UP *);
1166: void hybrid_mulup(int,UP,UP,UP *);
1167:
1168: int cmpdl_composite(int,DL,DL);
1169: int cmpdl_matrix(int,DL,DL);
1170: int cmpdl_order_pair(int,DL,DL);
1171: int cmpdl_elim(int,DL,DL);
1172: int cmpdl_blexrev(int,DL,DL);
1173: int cmpdl_bgradrev(int,DL,DL);
1174: int cmpdl_brevrev(int,DL,DL);
1175: int cmpdl_brevgradlex(int,DL,DL);
1176: int cmpdl_bgradlex(int,DL,DL);
1177: int cmpdl_blex(int,DL,DL);
1178: int cmpdl_revgradlex(int,DL,DL);
1179: int cmpdl_gradlex(int,DL,DL);
1180: int cmpdl_revlex(int,DL,DL);
1181: int cmpdl_lex(int,DL,DL);
1182:
1183: void adddv(VL,DPV,DPV,DPV *);
1184: void subdv(VL,DPV,DPV,DPV *);
1185: void muldv(VL,DP,DPV,DPV *);
1186: void chsgndv(DPV,DPV *);
1187: int compdv(VL,DPV,DPV);
1188:
1189: void adddpm(VL,DPM,DPM,DPM *);
1190: void subdpm(VL,DPM,DPM,DPM *);
1191: void mulobjdpm(VL,Obj,DPM,DPM *);
1192: void chsgndpm(DPM,DPM *);
1193: int compdpm(VL,DPM,DPM);
1194:
1195: void _printdp(DP);
1196: void _dp_sp_mod(DP,DP,int,DP *);
1197: void _dp_mod(DP,int,NODE,DP *);
1198: void _dp_red_mod(DP,DP,int,DP *);
1199: void _dtop_mod(VL,VL,DP,P *);
1200: void _mulmdm(VL,int,DP,MP,DP *);
1201: void _mulmd(VL,int,DP,DP,DP *);
1202: void _chsgnmd(int,DP,DP *);
1203: void _submd(VL,int,DP,DP,DP *);
1204: void _addmd(VL,int,DP,DP,DP *);
1205: void _mdtop(VL,int,VL,DP,P *);
1206: void divsmdc(VL,int,DP,P,DP *);
1207: void mulmdc(VL,int,DP,P,DP *);
1208: void mulmdm(VL,int,DP,MP,DP *);
1209: void mulmd(VL,int,DP,DP,DP *);
1210: void chsgnmd(int,DP,DP *);
1211: void submd(VL,int,DP,DP,DP *);
1212: void addmd(VL,int,DP,DP,DP *);
1213: void mdtop(VL,int,VL,DP,P *);
1214: void mptomd(VL,int,VL,P,DP *);
1215: void ptomd(VL,int,VL,P,DP *);
1216: int p_mag(P);
1217: int z_bits(Q);
1218: void rtime_init(void);
1219: void setmod_gf2n(P);
1220: void mt_sgenrand(unsigned long);
1221: unsigned long mt_genrand(void);
1222: #if defined(VISUAL) || defined(__MINGW32__)
1223: void srandom(unsigned int);
1224: unsigned int random(void);
1225: #endif
1226: void GC_free(void *);
1227: void FFT_primes(int,int *,int *,int *);
1228: int FFT_pol_product(unsigned int,unsigned int *, unsigned int,unsigned int *,
1229: unsigned int *,int,unsigned int *);
1230: int FFT_pol_square(unsigned int,unsigned int *,
1231: unsigned int *,int,unsigned int *);
1232: void dcptolist(DCP,LIST *);
1233: void gcdprsmp(VL,int,P,P,P *);
1234: void mult_mod_tab(UM,int,UM *,UM,int);
1235: int nfctr_mod(UM,int);
1236: int irred_check(UM,int);
1237: void modfctrp(P,int,int,DCP *);
1238: void pf_init(void);
1239: void ptolmp(P,P *);
1240: void lmptop(P,P *);
1241: void ulmptoum(int,UP,UM);
1242: void objtobobj(int,Obj,Obj *);
1243: void bobjtoobj(int,Obj,Obj *);
1244: void numtobnum(int,Num,Num *);
1245: void bnumtonum(int,Num,Num *);
1246: void ptobp(int,P,P *);
1247: void bptop(int,P,P *);
1248: void listtoblist(int,LIST,LIST *);
1249: void blisttolist(int,LIST,LIST *);
1250: void vecttobvect(int,VECT,VECT *);
1251: void bvecttovect(int,VECT,VECT *);
1252: void mattobmat(int,MAT,MAT *);
1253: void bmattomat(int,MAT,MAT *);
1254: void kmulum(int,UM,UM,UM);
1255: void saveobj(FILE *,Obj);
1256: void endian_init(void);
1257: void write_char(FILE *,unsigned char *);
1258: void write_short(FILE *,unsigned short *);
1259: void write_int(FILE *,unsigned int *);
1260: void write_double(FILE *,double *);
1261: void write_intarray(FILE *,unsigned int *,int);
1262: void write_string(FILE *,unsigned char *,int);
1263: void savestr(FILE *,char *);
1264: void loadstr(FILE *,char **);
1265: void savevl(FILE *,VL);
1266: void loadvl(FILE *);
1267: void skipvl(FILE *);
1268: void savev(FILE *,V);
1269: void loadv(FILE *,V *);
1270: int save_convv(V);
1271: V load_convv(int);
1272: void swap_bytes(char *,int,int);
1273: void read_char(FILE *,unsigned char *);
1274: void read_short(FILE *,unsigned short *);
1275: void read_int(FILE *,unsigned int *);
1276: void read_double(FILE *,double *);
1277: void read_intarray(FILE *,unsigned int *,int);
1278: void read_string(FILE *,unsigned char *,int);
1279: void loadobj(FILE *,Obj *);
1280: void invum(int,UM,UM,UM);
1281: void addarray_to(unsigned int *,int,unsigned int *,int);
1282: void muln_1(unsigned int *,int,unsigned int,unsigned int *);
1283: unsigned int divn_1(unsigned int *,int,unsigned int,unsigned int *);
1284: void ptoup(P,UP *);
1285: void uptop(UP,P *);
1286: void printnum(Num);
1287: void printv(VL,V);
1288: void kmulq(Q,Q,Q *);
1289: void simplm(LM,LM *);
1290: void qtolm(Q,LM *);
1291: int qpcheck(Obj);
1292: int headsgn(P);
1293: void adjsgn(P,DCP);
1294: void setmod_g2n(P);
1295: void simpgf2n(GF2N,GF2N *);
1296: void ptogf2n(Obj,GF2N *);
1297: void gf2ntop(GF2N,P *);
1298: void gf2ntovect(GF2N,VECT *);
1299: void squaregf2n(GF2N,GF2N *);
1300: void randomgf2n(GF2N *);
1301: void invgf2n(GF2N,GF2N *);
1302: int qcoefp(Obj);
1303: int qcoefr(Obj);
1304: size_t get_allocwords(void);
1305: double get_clock(void);
1306: void get_eg(struct oEGT *);
1307: void printtime(struct oEGT *,struct oEGT *,double);
1308: void init_eg(struct oEGT *);
1309: void add_eg(struct oEGT *,struct oEGT *,struct oEGT *);
1310: void print_eg(char *,struct oEGT *);
1311: void print_split_eg(struct oEGT *,struct oEGT *);
1312: void print_split_e(struct oEGT *,struct oEGT *);
1313: void suspend_timer(void);
1314: void resume_timer(void);
1315: void reset_engine(void);
1316: void notdef(VL,Obj,Obj,Obj *);
1317: void error(char *);
1318: void ptoup2(P,UP2 *);
1319: void ptoup2_sparse(P,UP2 *);
1320: void up2top(UP2,P *);
1321: void up2tovect(UP2,VECT *);
1322: void up2toz(UP2,Z *);
1323: void ztoup2(Z,UP2 *);
1324: void gen_simpup2(UP2,GEN_UP2,UP2 *);
1325: void gen_simpup2_destructive(UP2,GEN_UP2);
1326: void gen_invup2(UP2,GEN_UP2,UP2 *);
1327: void simpup2(UP2,UP2,UP2 *);
1328: int degup2(UP2);
1329: int degup2_sparse(UP2);
1330: int degup2_1(unsigned int);
1331: void addup2(UP2,UP2,UP2 *);
1332: void subup2(UP2,UP2,UP2 *);
1333: void mulup2_n1(unsigned int *,int,unsigned int,unsigned int *);
1334: void mulup2_nh(unsigned int *,int,unsigned int,unsigned int *);
1335: void _mulup2_1(UP2,unsigned int,UP2);
1336: void _mulup2_h(UP2,unsigned int,UP2);
1337: void mulup2(UP2,UP2,UP2 *);
1338: void _kmulup2_(unsigned int *,unsigned int *,int,unsigned int *);
1339: void _mulup2_nn(unsigned int *,unsigned int *,int,unsigned int *);
1340: void _mulup2(UP2,UP2,UP2);
1341: void _mulup2_(_UP2,_UP2,_UP2);
1342: void squareup2(UP2,UP2 *);
1343: void _adjup2(UP2);
1344: void _adjup2_(_UP2);
1345: void _addup2(UP2,UP2,UP2);
1346: void _addup2_destructive(UP2,UP2);
1347: void _addup2_(_UP2,_UP2,_UP2);
1348: void _addtoup2_(_UP2,_UP2);
1349: unsigned int mulup2_bb(unsigned int,unsigned int);
1350: void init_up2_tab(void);
1351: unsigned int quoup2_11(unsigned int,unsigned int);
1352: void divup2_1(unsigned int,unsigned int,int,int,unsigned int *,unsigned int *);
1353: void qrup2(UP2,UP2,UP2 *,UP2 *);
1354: void _qrup2(UP2,UP2,UP2,UP2);
1355: void remup2(UP2,UP2,UP2 *);
1356: void _remup2(UP2,UP2,UP2);
1357: void remup2_sparse(UP2,UP2,UP2 *);
1358: void remup2_sparse_destructive(UP2,UP2);
1359: void remup2_type1_destructive(UP2,int);
1360: void remup2_3_destructive(UP2,UP2);
1361: void remup2_5_destructive(UP2,UP2);
1362: void _invup2_1(unsigned int,unsigned int,unsigned int *,unsigned int *);
1363: void _gcdup2_1(unsigned int,unsigned int,unsigned int *);
1364: void up2_init_eg(void);
1365: void up2_show_eg(void);
1366: void invup2(UP2,UP2,UP2 *);
1367: void gcdup2(UP2,UP2,UP2 *);
1368: void chsgnup2(UP2,UP2 *);
1369: void pwrmodup2(UP2,Z,UP2,UP2 *);
1370: void pwrmodup2_sparse(UP2,Z,UP2,UP2 *);
1371: int compup2(UP2,UP2);
1372: void printup2(UP2);
1373: void _copyup2(UP2,UP2);
1374: void _bshiftup2(UP2,int,UP2);
1375: void _bshiftup2_destructive(UP2,int);
1376: void diffup2(UP2,UP2 *);
1377: int sqfrcheckup2(UP2);
1378: int irredcheckup2(UP2);
1379: int irredcheck_dddup2(UP2);
1380: void _copy_up2bits(UP2,unsigned int **,int);
1381: void _print_frobmat(unsigned int **,int,int);
1382: int compute_multiplication_matrix(P,GF2MAT *);
1383: void compute_change_of_basis_matrix(P,P,int,GF2MAT *,GF2MAT *);
1384: int compute_representation_conversion_matrix(P,GF2MAT *,GF2MAT *);
1385: void mul_nb(GF2MAT,unsigned int *,unsigned int *,unsigned int *);
1386: void leftshift(unsigned int *,int);
1387: void mat_to_gf2mat(MAT,unsigned int ***);
1388: void gf2mat_to_mat(unsigned int **,int,MAT *);
1389: void mulgf2mat(int,unsigned int **,unsigned int **,unsigned int **);
1390: void mulgf2vectmat(int,unsigned int *,unsigned int **,unsigned int *);
1391: int mulgf2vectvect(int,unsigned int *,unsigned int *);
1392: int invgf2mat(int,unsigned int **,unsigned int **);
1393: void _mulup2_11(unsigned int,unsigned int,unsigned int *);
1394: void _mulup2_22(unsigned int *,unsigned int *,unsigned int *);
1395: void _mulup2_33(unsigned int *,unsigned int *,unsigned int *);
1396: void _mulup2_44(unsigned int *,unsigned int *,unsigned int *);
1397: void _mulup2_55(unsigned int *,unsigned int *,unsigned int *);
1398: void _mulup2_66(unsigned int *,unsigned int *,unsigned int *);
1399: void printup2_(unsigned int *,int);
1400: void type1_bin_invup2(UP2,int,UP2 *);
1401: int int_bits(int);
1402:
1403:
1404: LUM LUMALLOC(int, int);
1405: BM BMALLOC(int, int);
1406: Obj ToAlg(Num);
1407: UM *berlemain(register int, UM, UM *);
1408: void Risa_GC_set_adj(int,int);
1409: void Risa_GC_get_adj(int *,int *);
1410: void *Risa_GC_malloc(size_t);
1411: void *Risa_GC_malloc_atomic(size_t);
1412: void *Risa_GC_realloc(void *,size_t);
1413: void Risa_GC_free(void *);
1414: void *Risa_GC_malloc_atomic_ignore_off_page(size_t);
1415: void *GC_malloc(size_t);
1416: void *GC_malloc_atomic(size_t);
1417: void *GC_realloc(void *,size_t);
1418: double RatnToReal(Q);
1419: double pwrreal0(double,int);
1420: double rtodbl(); /* XXX */
1421: double mpfrtodbl(mpfr_t a);
1422: int **almat(int,int);
1423: pointer **almat_pointer(int,int);
1424: int berlecnt(register int,UM);
1425: int berlecntmain(register int,int,int,register int **);
1426: int cmpalg(Num,Num);
1427: int cmpbf(Num,Num);
1428: int cmpcplx(Num,Num);
1429: int cmpq(Q,Q);
1430: int cmpreal(Real,Real);
1431: int cmpmi(MQ,MQ);
1432: int cmplm(LM,LM);
1433: int compmat(VL,MAT,MAT);
1434: int compnum(VL,Num,Num);
1435: int compp(VL,P,P);
1436: int compr(VL,Obj,Obj);
1437: int equalp(VL,P,P);
1438: int equalr(VL,Obj,Obj);
1439: int compstr(VL,STRING,STRING);
1440: int compvect(VL,VECT,VECT);
1441: int ctest(P,ML,int,int *);
1442: int cycchk(P);
1443: int dbound(V,P);
1444: int dcomp(P,P);
1445: int deg(V,P);
1446: int degtest(int,int *,ML,int);
1447: int divcheck(VL,P *,int,P,P);
1448: int divtdcpz(VL,P,P,P *);
1449: int divtpz(VL,P,P,P *);
1450: int divum(register int,UM,UM,UM);
1451: int dm(int,int,int *);
1452: int dmb(int,int,int,int *);
1453: int dma(int,int,int,int *);
1454: int dmab(int,int,int,int,int *);
1455: int dmar(int,int,int,int);
1456: int dtestmain(P,Q,ML,int,int *,P *,P *);
1457: int geldb(VL,P);
1458: int getchomdeg(V,P);
1459: int getdeg(V,P);
1460: int getlchomdeg(V,P,int *);
1461: int homdeg(P);
1462: unsigned int invm(unsigned int,int);
1463: int iscycm(P);
1464: int iscycp(P);
1465: int lengthp(P);
1466: int mig(int,int,P);
1467: int mignotte(int,P);
1468: int minimain(register int,int,int,register int **);
1469: int ncombi(int,int,int,int *);
1470: int nextbin(VN,int);
1471: int nmonop(P);
1472: int pcoef(VL,VL,P,P *);
1473: int pcoef0(VL,VL,P,P *);
1474: unsigned int pwrm(register int,register int,int);
1475: int sqfrchk(P);
1476: int ucmpp(P,P);
1477: int valideval(VL,DCP,VN);
1478: int zerovpchk(VL,P,VN);
1479:
1480: void addgf2n(GF2N,GF2N,GF2N *);
1481: void subgf2n(GF2N,GF2N,GF2N *);
1482: void mulgf2n(GF2N,GF2N,GF2N *);
1483: void divgf2n(GF2N,GF2N,GF2N *);
1484: void chsgngf2n(GF2N,GF2N *);
1485: void pwrgf2n(GF2N,Z, GF2N *);
1486: int cmpgf2n(GF2N,GF2N);
1487:
1488: void addgfpn(GFPN,GFPN,GFPN *);
1489: void subgfpn(GFPN,GFPN,GFPN *);
1490: void mulgfpn(GFPN,GFPN,GFPN *);
1491: void divgfpn(GFPN,GFPN,GFPN *);
1492: void chsgngfpn(GFPN,GFPN *);
1493: void pwrgfpn(GFPN,Z, GFPN *);
1494: int cmpgfpn(GFPN,GFPN);
1495:
1496: void addgfs(GFS,GFS,GFS *);
1497: void subgfs(GFS,GFS,GFS *);
1498: void mulgfs(GFS,GFS,GFS *);
1499: void divgfs(GFS,GFS,GFS *);
1500: void chsgngfs(GFS,GFS *);
1501: void pwrgfs(GFS,Z, GFS *);
1502: int cmpgfs(GFS,GFS);
1503:
1504: void addgfsn(GFSN,GFSN,GFSN *);
1505: void subgfsn(GFSN,GFSN,GFSN *);
1506: void mulgfsn(GFSN,GFSN,GFSN *);
1507: void divgfsn(GFSN,GFSN,GFSN *);
1508: void chsgngfsn(GFSN,GFSN *);
1509: int cmpgfsn(GFSN,GFSN);
1510:
1511: void adddalg(DAlg,DAlg,DAlg *);
1512: void subdalg(DAlg,DAlg,DAlg *);
1513: void muldalg(DAlg,DAlg,DAlg *);
1514: void divdalg(DAlg,DAlg,DAlg *);
1515: void chsgndalg(DAlg,DAlg *);
1516: void pwrdalg(DAlg,Z, DAlg *);
1517: int cmpdalg(DAlg,DAlg);
1518:
1519: void addalg(Num,Num,Num *);
1520: void addbf(Num,Num,Num *);
1521: void addcplx(Num,Num,Num *);
1522: void addmat(VL,MAT,MAT,MAT *);
1523: void addmp(VL,int,P,P,P *);
1524: void addmpq(int,P,P,P *);
1525: void addmptoc(VL,int,P,P,P *);
1526: void addmq(int,MQ,MQ,MQ *);
1527: void addnum(VL,Num,Num,Num *);
1528: void addp(VL,P,P,P *);
1529: void addpadic(int,int,unsigned int *,unsigned int *);
1530: void addpq(P,P,P *);
1531: void addptoc(VL,P,P,P *);
1532: void addr(VL,Obj,Obj,Obj *);
1533: void addreal(Num,Num,Real *);
1534: void addmi(MQ,MQ,MQ *);
1535: void addlm(LM,LM,LM *);
1536: void addstr(VL,STRING,STRING,STRING *);
1537: void addum(int,UM,UM,UM);
1538: void addvect(VL,VECT,VECT,VECT *);
1539: void addquote(VL,QUOTE,QUOTE,QUOTE *);
1540: void afctr(VL,P,P,DCP *);
1541: void afctrmain(VL,P,P,int,DCP *);
1542: void affine(VL,P,VN,P *);
1543: void affinemain(VL,P,V,int,P *,P *);
1544: void berle(int,int,P,ML *);
1545: void cbound(VL,P,Q *);
1546: void chnrem(int,V,P,Z,UM,P *,Z *);
1547: void chnremp(VL,int,P,Z,P,P *);
1548: void chsgnalg(Num,Num *);
1549: void chsgnbf(Num a,Num *);
1550: void chsgncplx(Num,Num *);
1551: void chsgnmat(MAT,MAT *);
1552: void chsgnmp(int,P,P *);
1553: void chsgnnum(Num,Num *);
1554: void chsgnp(P,P *);
1555: void chsgnq(Q,Q *);
1556: void chsgnr(Obj,Obj *);
1557: void chsgnreal(Num,Num *);
1558: void chsgnmi(MQ,MQ *);
1559: void chsgnlm(LM,LM *);
1560: void chsgnvect(VECT,VECT *);
1561: void chsgnquote(QUOTE,QUOTE *);
1562: void clctv(VL,P,VL *);
1563: void clctvr(VL,Obj,VL *);
1564: void cm2p(Z,Z,P,P *);
1565: void cmax(P,Q *);
1566: void cmp(Z,P,P *);
1567: void coefp(P,int,P *);
1568: void cpylum(int,LUM,LUM);
1569: void cpyum(UM,UM);
1570: void csump(VL,P,Q *);
1571: void cycm(V,register int,DCP *);
1572: void cycp(V,register int,DCP *);
1573: void degp(V,P,Z *);
1574: void degum(UM,int);
1575: void detmp(VL,int,P **,int,P *);
1576: void detp(VL,P **,int,P *);
1577: void diffp(VL,P,V,P *);
1578: void diffum(register int,UM,UM);
1579: void divalg(Num,Num,Num *);
1580: void divbf(Num,Num,Num *);
1581: void divcp(P,Q,P *);
1582: void divcplx(Num,Num,Num *);
1583: void divmat(VL,Obj,Obj,Obj *);
1584: void divmq(int,MQ,MQ,MQ *);
1585: void divnum(VL,Num,Num,Num *);
1586: void divr(VL,Obj,Obj,Obj *);
1587: void divreal(Num,Num,Real *);
1588: void divmi(MQ,MQ,MQ *);
1589: void divlm(LM,LM,LM *);
1590: void divsdcmp(VL,int,P,P,P *);
1591: void divsdcp(VL,P,P,P *);
1592: void divsmp(VL,int,P,P,P *);
1593: void divsp(VL,P,P,P *);
1594: void divsrdcmp(VL,int,P,P,P *,P *);
1595: void divsrdcp(VL,P,P,P *,P *);
1596: void divsrmp(VL,int,P,P,P *,P *);
1597: void divsrp(VL,P,P,P *,P *);
1598: void divvect(VL,Obj,Obj,Obj *);
1599: void divquote(VL,QUOTE,QUOTE,QUOTE *);
1600: void dtest(P,ML,int,DCP *);
1601: void dtestroot(int,int,P,LUM,struct oDUM *,DCP *);
1602: void dtestroot1(int,int,P,LUM,P *);
1603: void dtestsq(int,int,P,LUM,P *);
1604: void dtestsql(P,ML,struct oDUM *,DCP *);
1605: void ediffp(VL,P,V,P *);
1606: void eucum(register int,UM,UM,UM,UM);
1607: void exthp(VL,P,int,P *);
1608: void exthpc(VL,V,P,int,P *);
1609: void ezgcd1p(VL,P,P,P *);
1610: void ezgcdhensel(P,int,UM,UM,ML *);
1611: void ezgcdnp(VL,P,P *,int,P *);
1612: void ezgcdnpp(VL,DCP,P *,int,P *);
1613: void ezgcdnpz(VL,P *,int,P *);
1614: void ezgcdp(VL,P,P,P *);
1615: void ezgcdpp(VL,DCP,P,P *);
1616: void ezgcdpz(VL,P,P,P *);
1617: void fctrp(VL,P,DCP *);
1618: void fctrwithmvp(VL,P,V,DCP *);
1619: void gcda(VL,P,P,P,P *);
1620: void gcdcp(VL,P,P *);
1621: void gcdgen(P,ML,ML *);
1622: void gcdmonomial(VL,DCP *,int,P *);
1623: void gcdprsp(VL,P,P,P *);
1624: void gcdum(register int,UM,UM,UM);
1625: void getmindeg(V,P,Z *);
1626: void henmain(LUM,ML,ML,ML *);
1627: void henprep(P,ML,ML,ML *,ML *);
1628: void hensel(int,int,P,ML *);
1629: void hsq(int,int,P,int *,DCP *);
1630: void intersectv(VL,VL,VL *);
1631: void invl(Q,Q,Q *);
1632: void invmq(int,MQ,MQ *);
1633: void invq(Q,Q *);
1634: void lgp(P,Z *,Z *);
1635: void lumtop(V,int,int,LUM,P *);
1636: void lumtop_unsigned(V v,int mod,int bound,LUM f,P *g);
1637: void markv(VN,int,P);
1638: void maxdegp(VL,P,VL *,P *);
1639: void mergev(VL,VL,VL,VL *);
1640: void mfctr(VL,P,DCP *);
1641: void mfctrhen2(VL,VN,P,P,P,P,P,P,P *);
1642: void mfctrmain(VL,P,DCP *);
1643: void mfctrwithmv(VL,P,V,DCP *);
1644: void min_common_vars_in_coefp(VL,P,VL *,P *);
1645: void minchdegp(VL,P,VL *,P *);
1646: void mindegp(VL,P,VL *,P *);
1647: void mini(register int,UM,UM);
1648: void minlcdegp(VL,P,VL *,P *);
1649: void mkbcm(int,int,MQ *);
1650: void mkssum(V,int,int,int,P *);
1651: void monomialfctr(VL,P,P *,DCP *);
1652: void mptop(P,P *);
1653: void mptoum(P,UM);
1654: void msqfr(VL,P,DCP *);
1655: void msqfrmain(VL,P,DCP *);
1656: void msqfrmainmain(VL,P,VN,P,DCP,DCP *,P *);
1657: void mulalg(Num,Num,Num *);
1658: void mulbf(Num,Num,Num *);
1659: void mulcplx(Num,Num,Num *);
1660: void mullum(int,int,LUM,LUM,LUM);
1661: void mullumarray(P,ML,int,int *,P *);
1662: void mulmat(VL,Obj,Obj,Obj *);
1663: void mulmatmat(VL,MAT,MAT,MAT *);
1664: void mulmatvect(VL,MAT,VECT,VECT *);
1665: void mulmp(VL,int,P,P,P *);
1666: void mulmpc(VL,int,P,P,P *);
1667: void mulmpq(int,P,P,P *);
1668: void mulmq(int,MQ,MQ,MQ *);
1669: void mulnum(VL,Num,Num,Num *);
1670: void mulp(VL,P,P,P *);
1671: void mulpadic(int,int,unsigned int *,unsigned int *,unsigned int *);
1672: void mulpc(VL,P,P,P *);
1673: void mulpq(P,P,P *);
1674: void mulr(VL,Obj,Obj,Obj *);
1675: void mulreal(Num,Num,Real *);
1676: void mulmi(MQ,MQ,MQ *);
1677: void mullm(LM,LM,LM *);
1678: void mulrmat(VL,Obj,MAT,MAT *);
1679: void mulrvect(VL,Obj,VECT,VECT *);
1680: void mulsgn(VN,VN,int,VN);
1681: void mulsum(register int,UM,register int,UM);
1682: void mulum(register int,UM,UM,UM);
1683: void mulvect(VL,Obj,Obj,Obj *);
1684: void mulquote(VL,QUOTE,QUOTE,QUOTE *);
1685: void mulvectmat(VL,VECT,MAT,VECT *);
1686: void next(VN);
1687: void nezgcdnp_sqfr_primitive(VL,P,P *,int,P *);
1688: void nezgcdnpp(VL,DCP,P *,int,P *);
1689: void nezgcdnpz(VL,P *,int,P *);
1690: void nezgcdnpzmain(VL,P *,int,P *);
1691: void nglob_init(void);
1692: void norm(P,Q *);
1693: void norm1(P,P *);
1694: void norm1c(P,Q *);
1695: void normalizemp(int,P);
1696: void nthrootz(Z,int,Z *);
1697: int ztonadic(int,Z,unsigned int **);
1698: void nuezgcdnpzmain(VL,P *,int,P *);
1699: void padictoq(int,int,int *,Z *);
1700: void padictoq_unsigned(int,int,int *,Z *);
1701: void risa_pari_init(void);
1702: void pcp(VL,P,P *,P *);
1703: void pderivr(VL,Obj,V,Obj *);
1704: void pdiva(VL,P,P,P,P *);
1705: void pinva(P,P,P *);
1706: void plisttop(P *,V,int,P *);
1707: void pmonic(VL,P,P,P *);
1708: void pqra(VL,P,P,P,P *,P *);
1709: void premmp(VL,int,P,P,P *);
1710: void premp(VL,P,P,P *);
1711: void ptolum(int,int,P,LUM);
1712: void ptomp(int,P,P *);
1713: void ptoum(int,P,UM);
1714: void ptozp(P,int,Q *,P *);
1715: void ptozp0(P,P *);
1716: void pwralg(Num,Num,Num *);
1717: void pwrbf(Num,Num,Num *);
1718: void pwrcplx(Num,Num,Num *);
1719: void pwrcplx0(Num,int,Num *);
1720: void pwrlum(int,int,LUM,int,LUM);
1721: void pwrmat(VL,MAT,Obj,MAT *);
1722: void pwrmatmain(VL,MAT,int,MAT *);
1723: void pwrmp(VL,int,P,Z,P *);
1724: void pwrmq(int,MQ,Q,MQ *);
1725: void pwrnum(VL,Num,Num,Num *);
1726: void pwrp(VL,P,Z,P *);
1727: void pwrq(Q,Q,Q *);
1728: void pwrr(VL,Obj,Obj,Obj *);
1729: void pwrquote(VL,QUOTE,QUOTE,QUOTE *);
1730: void pwrreal(Num,Num,Real *);
1731: void pwrmi(MQ,Q,MQ *);
1732: void pwrum(int,UM,int,UM);
1733: void asir_reallocarray(char **,int *,int *,int);
1734: void reductr(VL,Obj,Obj *);
1735: void reimtocplx(Num,Num,Num *);
1736: void rema(VL,P,P,P,P *);
1737: void remq(Q,Q,Q *);
1738: void remsdcp(VL,P,P,P *);
1739: void reordermp(VL,int,VL,P,P *);
1740: void reorderp(VL,VL,P,P *);
1741: void reordvar(VL,V,VL *);
1742: void res_ch_det(VL,V,P,P,P *);
1743: void res_detmp(VL,int,V,P,P,P *);
1744: void restore(VL,P,VN,P *);
1745: void resultmp(VL,int,V,P,P,P *);
1746: void resultp(VL,V,P,P,P *);
1747: void setlum(int,int,LUM);
1748: void sort_by_deg(int,P *,P *);
1749: void sort_by_deg_rev(int,P *,P *);
1750: void sortfs(DCP *);
1751: void sortfsrev(DCP *);
1752: void sortplist(P *,int);
1753: void sortplistbyhomdeg(P *,int);
1754: void sprs(VL,V,P,P,P *);
1755: void sqa(VL,P,P,DCP *);
1756: void sqfrp(VL,P,DCP *);
1757: void sqfrum(int,int,P,int *,struct oDUM **,ML *);
1758: void sqfrummain(int,UM,UM,struct oDUM **);
1759: void sqrtz(Z,Z *);
1760: void srch2(VL,V,P,P,P *);
1761: void srchmp(VL,int,V,P,P,P *);
1762: void srchump(int,P,P,P *);
1763: void srcr(VL,V,P,P,P *);
1764: void strtobf(char *,BF *);
1765: void subalg(Num,Num,Num *);
1766: void subbf(Num,Num,Num *);
1767: void subcplx(Num,Num,Num *);
1768: void submat(VL,MAT,MAT,MAT *);
1769: void submp(VL,int,P,P,P *);
1770: void submq(int,MQ,MQ,MQ *);
1771: void subnum(VL,Num,Num,Num *);
1772: void subp(VL,P,P,P *);
1773: void subr(VL,Obj,Obj,Obj *);
1774: void subreal(Num,Num,Real *);
1775: void submi(MQ,MQ,MQ *);
1776: void sublm(LM,LM,LM *);
1777: void substmp(VL,int,P,V,P,P *);
1778: void substp(VL,P,V,P,P *);
1779: void substvp(VL,P,VN,P *);
1780: void subum(int,UM,UM,UM);
1781: void subvect(VL,VECT,VECT,VECT *);
1782: void subquote(VL,QUOTE,QUOTE,QUOTE *);
1783: void toreim(Num,Num *,Num *);
1784: void ucsump(P,Q *);
1785: void uexgcdnp(VL,P,P *,int,VN,Q,P *,P *,P *,P *,Z *);
1786: void uezgcd1p(P,P,P *);
1787: void uezgcdpp(DCP,P,P *);
1788: void uezgcdpz(VL,P,P,P *);
1789: void ufctr(P,int,DCP *);
1790: void ufctrmain(P,int,DCP *);
1791: void umtomp(V,UM,P *);
1792: void umtop(V,UM,P *);
1793: void usqp(P,DCP *);
1794: void vntovl(VN,int,VL *);
1795:
1796: void saveerror(FILE *,ERR);
1797: void saveui(FILE *,USINT);
1798: void savedp(FILE *,DP);
1.10 noro 1799: void savedpm(FILE *,DPM);
1.1 noro 1800: void savestring(FILE *,STRING);
1801: void savemat(FILE *,MAT);
1802: void savevect(FILE *,VECT);
1803: void savelist(FILE *,LIST);
1804: void saver(FILE *,R);
1805: void savep(FILE *,P);
1806: void savegf2n(FILE *,GF2N);
1807: void savegfpn(FILE *,GFPN);
1808: void savegfs(FILE *,GFS);
1809: void savedalg(FILE *,DAlg);
1810: void savelm(FILE *,LM);
1811: void savemi(FILE *,MQ);
1812: void savecplx(FILE *,C);
1813: void savebf(FILE *,BF);
1814: void savereal(FILE *,Real);
1815: void saveq(FILE *,Q);
1816: void savenum(FILE *,Num);
1817: void savepfins(FILE *,V);
1818: void savegfmmat(FILE *,GFMMAT);
1819: void savebytearray(FILE *,BYTEARRAY);
1820: void savegfsn(FILE *,GFSN);
1821:
1822: void loaderror(FILE *,ERR *);
1823: void loadui(FILE *,USINT *);
1824: void loaddp(FILE *,DP *);
1.10 noro 1825: void loaddpm(FILE *,DPM *);
1.1 noro 1826: void loadstring(FILE *,STRING *);
1827: void loadmat(FILE *,MAT *);
1828: void loadvect(FILE *,VECT *);
1829: void loadlist(FILE *,LIST *);
1830: void loadr(FILE *,R *);
1831: void loadp(FILE *,P *);
1832: void loadgf2n(FILE *,GF2N *);
1833: void loadgfpn(FILE *,GFPN *);
1834: void loadgfs(FILE *,GFS *);
1835: void loadgfsn(FILE *,GFSN *);
1836: void loaddalg(FILE *,DAlg *);
1837: void loadlm(FILE *,LM *);
1838: void loadmi(FILE *,MQ *);
1839: void loadcplx(FILE *,C *);
1840: void loadbf(FILE *,BF *);
1841: void loadreal(FILE *,Real *);
1842: void loadq(FILE *,Q *);
1843: void loadnum(FILE *,Num *);
1844: void loadgfmmat(FILE *,GFMMAT *);
1845: void loadbytearray(FILE *,BYTEARRAY *);
1846: V loadpfins(FILE *);
1847: void eucum2(int mod,UM f1,UM f2,UM a,UM b);
1848: void clearum(UM p,int n);
1849: BM BMALLOC(int dx,int dy);
1850: int isequalum(UM f1,UM f2);
1851: void dec_um(int p,int a,UM u);
1852: void setmod_sf(int p,int n);
1853: int search_defpoly_and_primitive_root(int p,int n,UM dp);
1854: void generate_defpoly_um(int p,int n,UM dp);
1855: int generate_primitive_root_enc(int p,int n,UM dp);
1856: int mulremum_enc(int p,int n,UM dp,int a,int b);
1857: void gfs_galois_action(GFS a,Q e,GFS *c);
1858: void gfs_embed(GFS z,int k,int pm,GFS *c);
1859: void qtogfs(Q a,GFS *c);
1860: void mqtogfs(MQ a,GFS *c);
1861: void gfstomq(GFS a,MQ *c);
1862: void ntogfs(Obj a,GFS *b);
1863: void addgfs(GFS a,GFS b,GFS *c);
1864: void subgfs(GFS a,GFS b,GFS *c);
1865: void mulgfs(GFS a,GFS b,GFS *c);
1866: void divgfs(GFS a,GFS b,GFS *c);
1867: void chsgngfs(GFS a,GFS *c);
1868: int cmpgfs(GFS a,GFS b);
1869: void randomgfs(GFS *r);
1870: int _addsf(int a,int b);
1871: int _chsgnsf(int a);
1872: int _subsf(int a,int b);
1873: int _mulsf(int a,int b);
1874: int _invsf(int a);
1875: int _divsf(int a,int b);
1876: int _pwrsf(int a,int b);
1877: int _onesf();
1878: int _itosf(int n);
1879: int _isonesf(int a);
1880: int _randomsf();
1881: int field_order_sf();
1882: int characteristic_sf();
1883: int extdeg_sf();
1884: void addsfum(UM p1,UM p2,UM pr);
1885: void subsfum(UM p1,UM p2,UM pr);
1886: void gcdsfum(UM p1,UM p2,UM pr);
1887: void mulsfum(UM p1,UM p2,UM pr);
1888: void mulssfum(UM p,int n,UM pr);
1889: void kmulsfum(UM n1,UM n2,UM nr);
1890: void kmulsfummain(UM n1,UM n2,UM nr);
1891: int divsfum(UM p1,UM p2,UM pq);
1892: void diffsfum(UM f,UM fd);
1893: void monicsfum(UM f);
1894: int compsfum(UM a,UM b);
1895: void mulsfbm(BM f1,BM f2,BM fr);
1896: int degbm(BM f);
1897: void addtosfbm(BM f,BM g);
1898: void eucsfum(UM f1,UM f2,UM a,UM b);
1899: void shiftsfum(UM f,int a,UM g);
1900: void shiftsflum(int n,LUM f,int ev);
1901: void shiftsfbm(BM f,int a);
1902: void clearbm(int n,BM f);
1903:
1904: void ksquareum(int mod,UM n1,UM nr);
1905: void extractum(UM n,int index,int len,UM nr);
1906: void copyum(UM n1,UM n2);
1907: void c_copyum(UM n,int len,int *p);
1908: void kmulummain(int mod,UM n1,UM n2,UM nr);
1909: void ksquareummain(int mod,UM n1,UM nr);
1910:
1911: void simp_ff(Obj p,Obj *rp);
1912: void field_order_ff(Z *order);
1913:
1914: void random_lm(LM *r);
1915: void setmod_lm(Z p);
1916: void getmod_lm(Z *p);
1917:
1918: void qtolm(Q q,LM *l);
1919: void addlm(LM a,LM b,LM *c);
1920: void sublm(LM a,LM b,LM *c);
1921: void mullm(LM a,LM b,LM *c);
1922: void divlm(LM a,LM b,LM *c);
1923: void chsgnlm(LM a,LM *c);
1924: void pwrlm(LM a,Z b,LM *c);
1925: int cmplm(LM a,LM b);
1926: void simplm(LM a,LM *b);
1927: void simplm_force(LM a,LM *b);
1928:
1929: void addlf(Z a,Z b,Z *c);
1930: void sublf(Z a,Z b,Z *c);
1931: void mullf(Z a,Z b,Z *c);
1932: void divlf(Z a,Z b,Z *c);
1933: void chsgnlf(Z a,Z *c);
1934: int cmplf(Z a,Z b);
1935: void simplf(Z a,Z *b);
1936: void simplf_force(Z a,Z *b);
1937: void setmod_lf(Z p);
1938:
1939: void setmod_gfpn(P p);
1940: void getmod_gfpn(UP *up);
1941: void ptogfpn(Obj q,GFPN *l);
1942: void gfpntop(GFPN q,P *l);
1943: void simpgfpn(GFPN n,GFPN *r);
1944: void ntogfpn(Obj a,GFPN *b);
1945: void addgfpn(GFPN a,GFPN b,GFPN *c);
1946: void subgfpn(GFPN a,GFPN b,GFPN *c);
1947: void mulgfpn(GFPN a,GFPN b,GFPN *c);
1948: void squaregfpn(GFPN a,GFPN *c);
1949: void divgfpn(GFPN a,GFPN b,GFPN *c);
1950: void invgfpn(GFPN b,GFPN *c);
1951: void chsgngfpn(GFPN a,GFPN *c);
1952: int cmpgfpn(GFPN a,GFPN b);
1953: void randomgfpn(GFPN *r);
1954: void setmod_gfsn(UM p);
1955: void getmod_gfsn(UM *up);
1956: void simpgfsn(GFSN n,GFSN *r);
1957: void ntogfsn(Obj a,GFSN *b);
1958: void addgfsn(GFSN a,GFSN b,GFSN *c);
1959: void subgfsn(GFSN a,GFSN b,GFSN *c);
1960: void mulgfsn(GFSN a,GFSN b,GFSN *c);
1961: void divgfsn(GFSN a,GFSN b,GFSN *c);
1962: void invgfsn(GFSN b,GFSN *c);
1963: void chsgngfsn(GFSN a,GFSN *c);
1964: void pwrgfsn(GFSN a,Z b,GFSN *c);
1965: int cmpgfsn(GFSN a,GFSN b);
1966: void randomgfsn(GFSN *r);
1967: void setmod_gf2n(P p);
1968: void getmod_gf2n(UP2 *p);
1969: void simpgf2n(GF2N n,GF2N *r);
1970: void ptogf2n(Obj q,GF2N *l);
1971: void gf2ntop(GF2N q,P *l);
1972: void gf2ntovect(GF2N q,VECT *l);
1973: void addgf2n(GF2N a,GF2N b,GF2N *c);
1974: void subgf2n(GF2N a,GF2N b,GF2N *c);
1975: void mulgf2n(GF2N a,GF2N b,GF2N *c);
1976: void squaregf2n(GF2N a,GF2N *c);
1977: void divgf2n(GF2N a,GF2N b,GF2N *c);
1978: void invgf2n(GF2N b,GF2N *c);
1979: void chsgngf2n(GF2N a,GF2N *c);
1980: int cmpgf2n(GF2N a,GF2N b);
1981: void randomgf2n(GF2N *r);
1982: void nadictoz(int base,int d,unsigned int *w,Z *nrp);
1983: void intarraytoz(int len,unsigned int *w,Z *nrp);
1984: void ptomp(int m,P p,P *pr);
1985: void mptop(P f,P *gp);
1986: void ptosfp(P p,P *pr);
1987: void sfptop(P f,P *gp);
1988: void sf_galois_action(P p,Q e,P *pr);
1989: void sf_embed(P p,int k,int pm,P *pr);
1990: void ptolmp(P p,P *pr);
1991: void lmptop(P f,P *gp);
1992: void ptoum(int m,P f,UM wf);
1993: void umtop(V v,UM w,P *f);
1994: void ptosfum(P f,UM wf);
1995: void sfumtop(V v,UM w,P *f);
1996: void ptoup(P n,UP *nr);
1997: void uptop(UP n,P *nr);
1998: void ulmptoum(int m,UP f,UM wf);
1999: void objtobobj(int base,Obj p,Obj *rp);
2000: void bobjtoobj(int base,Obj p,Obj *rp);
2001: void numtobnum(int base,Num p,Num *rp);
2002: void bnumtonum(int base,Num p,Num *rp);
2003: void ptobp(int base,P p,P *rp);
2004: void bptop(int base,P p,P *rp);
2005: void listtoblist(int base,LIST p,LIST *rp);
2006: void blisttolist(int base,LIST p,LIST *rp);
2007: void vecttobvect(int base,VECT p,VECT *rp);
2008: void bvecttovect(int base,VECT p,VECT *rp);
2009: void mattobmat(int base,MAT p,MAT *rp);
2010: void bmattomat(int base,MAT p,MAT *rp);
2011: void mptoum(P p,UM pr);
2012: void umtomp(V v,UM p,P *pr);
2013: void enc_to_p(int p,int a,V v,P *pr);
2014: int comp_dum(DUM a,DUM b);
2015: void fctrsf(P p,DCP *dcp);
2016: void gensqfrsfum(UM p,struct oDUM *dc);
2017: void randsfum(int d,UM p);
2018: void pwrmodsfum(UM p,int e,UM f,UM pr);
2019: void spwrsfum(UM m,UM f,Z e,UM r);
2020: void tracemodsfum(UM m,UM f,int e,UM r);
2021: void make_qmatsf(UM p,UM *tab,int ***mp);
2022: void nullsf(int **mat,int n,int *ind);
2023: void null_to_solsf(int **mat,int *ind,int n,UM *r);
2024: void czsfum(UM f,UM *r);
2025: int berlekampsf(UM p,int df,UM *tab,UM *r);
2026: void minipolysf(UM f,UM p,UM mp);
2027: int find_rootsf(UM p,int *root);
2028: void sqfrsf(VL vl,P f, DCP *dcp);
2029: void canzassf(UM f,int d,UM *r);
2030: void sfhensel(int count,P f,V x,V y,int degbound,GFS *evp,P *sfp,ML *listp);
2031: int sfberle(V x,V y,P f,int count,GFS *ev,DCP *dcp);
2032: void sfgcdgen(P f,ML blist,ML *clistp);
2033: void sfhenmain2(BM f,UM g0,UM h0,int dy,BM *gp);
2034: void ptosfbm(int dy,P f,BM fl);
2035: void sfbmtop(BM f,V x,V y,P *fp);
2036: void sfsqfr(P f,DCP *dcp);
2037: void sfusqfr(P f,DCP *dcp);
2038: void sfbsqfr(P f,V x,V y,DCP *dcp);
2039: void sfbfctr(P f,V x,V y,int degbound,DCP *dcp);
2040: void sfdtest(P f,ML list,V x,V y,DCP *dcp);
2041: int sfdtestmain(VL vl,P lcg,UM lcg0,BM lcy,P csum,ML list,
2042: int k,int *in,P *fp,P *cofp);
2043: void const_term(P f,UM c);
2044: void const_term_sfbm(BM f,UM c);
2045: int sfctest(UM lcg0,BM lcy,ML list,int k,int *in);
2046: void mulsfbmarray(int dx,BM lcy,ML list,int k,int *in,V x,V y,P *g);
2047: void sfcsump(VL vl,P f,P *s);
2048: void cont_pp_sfp(VL vl,P f,P *cp,P *fp);
2049: int divtp_by_sfbm(VL vl,P f,P g,P *qp);
2050: void generate_defpoly_sfum(int n,UM *dp);
2051: NODE symb_merge(NODE,NODE,int);
2052: void _free_private_storage();
2053: void _DL_alloc();
2054: void _MP_alloc();
2055: void _DP_alloc();
2056: void _addmd_destructive(int mod,DP p1,DP p2,DP *pr);
2057: void _mulmd_dup(int mod,DP p1,DP p2,DP *pr);
2058: void _comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
2059: void _weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
2060: void _mulmdm_dup(int mod,DP p,MP m0,DP *pr);
2061: void _weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr);
2062: void _weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen);
2063: void _comm_mulmd_tab(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1,struct cdlm *rt);
2064: void _comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1);
2065: void dlto_dl(DL d,DL *dr);
2066: void _dltodl(DL d,DL *dr);
2067: void _adddl_dup(int n,DL d1,DL d2,DL *dr);
2068: void _free_dlarray(DL *a,int n);
2069: void _free_dp(DP f);
2070: void dpto_dp(DP p,DP *r);
2071: void _dptodp(DP p,DP *r);
2072: NODE _symb_merge(NODE m1,NODE m2,int n);
2073: void _addd_destructive(VL vl,DP p1,DP p2,DP *pr);
2074: void _muld_dup(VL vl,DP p1,DP p2,DP *pr);
2075: void _comm_muld_dup(VL vl,DP p1,DP p2,DP *pr);
2076: void _weyl_muld_dup(VL vl,DP p1,DP p2,DP *pr);
2077: void _muldm_dup(VL vl,DP p,MP m0,DP *pr);
2078: void _weyl_muldm_dup(VL vl,MP m0,DP p,DP *pr);
2079: void _weyl_mulmm_dup(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen);
2080: void _comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt);
2081: void _comm_muld_tab_destructive(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1);
2082:
2083: int has_fcoef(DP f);
2084: int has_fcoef_p(P f);
2085: void initd(struct order_spec *spec);
2086: void ptod(VL vl,VL dvl,P p,DP *pr);
2087: void dtop(VL vl,VL dvl,DP p,Obj *pr);
2088: void nodetod(NODE node,DP *dp);
2089: void nodetodpm(NODE node,Obj pos,DPM *dp);
2090: int sugard(MP m);
2091: void addd(VL vl,DP p1,DP p2,DP *pr);
2092: void symb_addd(DP p1,DP p2,DP *pr);
2093: NODE symb_merge(NODE m1,NODE m2,int n);
2094: DLBUCKET symb_merge_bucket(DLBUCKET m1,DLBUCKET m2,int n);
2095: void subd(VL vl,DP p1,DP p2,DP *pr);
2096: void chsgnd(DP p,DP *pr);
2097: void muld(VL vl,DP p1,DP p2,DP *pr);
2098: void comm_muld(VL vl,DP p1,DP p2,DP *pr);
2099: void muldm(VL vl,DP p,MP m0,DP *pr);
2100: void weyl_muld(VL vl,DP p1,DP p2,DP *pr);
2101: void weyl_muldm(VL vl,MP m0,DP p,DP *pr);
2102: void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen);
2103: void comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt);
2104: void muldc(VL vl,DP p,Obj c,DP *pr);
2105: void divsdc(VL vl,DP p,P c,DP *pr);
2106: void divdc(VL vl,DP p,Obj c,DP *pr);
2107: void adddl(int n,DL d1,DL d2,DL *dr);
2108: void adddl_destructive(int n,DL d1,DL d2);
2109: int compd(VL vl,DP p1,DP p2);
2110: int cmpdl_lex(int n,DL d1,DL d2);
2111: int cmpdl_revlex(int n,DL d1,DL d2);
2112: int cmpdl_gradlex(int n,DL d1,DL d2);
2113: int cmpdl_revgradlex(int n,DL d1,DL d2);
2114: int cmpdl_blex(int n,DL d1,DL d2);
2115: int cmpdl_bgradlex(int n,DL d1,DL d2);
2116: int cmpdl_brevgradlex(int n,DL d1,DL d2);
2117: int cmpdl_brevrev(int n,DL d1,DL d2);
2118: int cmpdl_bgradrev(int n,DL d1,DL d2);
2119: int cmpdl_blexrev(int n,DL d1,DL d2);
2120: int cmpdl_elim(int n,DL d1,DL d2);
2121: int cmpdl_weyl_elim(int n,DL d1,DL d2);
2122: int cmpdl_homo_ww_drl(int n,DL d1,DL d2);
2123: int cmpdl_order_pair(int n,DL d1,DL d2);
2124: int cmpdl_matrix(int n,DL d1,DL d2);
2125: void ptomd(VL vl,int mod,VL dvl,P p,DP *pr);
2126: void mptomd(VL vl,int mod,VL dvl,P p,DP *pr);
2127: void mdtop(VL vl,int mod,VL dvl,DP p,P *pr);
2128: void addmd(VL vl,int mod,DP p1,DP p2,DP *pr);
2129: void submd(VL vl,int mod,DP p1,DP p2,DP *pr);
2130: void chsgnmd(int mod,DP p,DP *pr);
2131: void mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
2132: void comm_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
2133: void weyl_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
2134: void mulmdm(VL vl,int mod,DP p,MP m0,DP *pr);
2135: void weyl_mulmdm(VL vl,int mod,DP p,MP m0,DP *pr);
2136: void weyl_mulmmm(VL vl,int mod,MP m0,MP m1,int n,DP *pr);
2137: void mulmdc(VL vl,int mod,DP p,P c,DP *pr);
2138: void divsmdc(VL vl,int mod,DP p,P c,DP *pr);
2139: void _dtop_mod(VL vl,VL dvl,DP p,P *pr);
2140: void _dp_mod(DP p,int mod,NODE subst,DP *rp);
2141: void _dp_monic(DP p,int mod,DP *rp);
2142: void _printdp(DP d);
2143: void addmd_destructive(int mod,DP p1,DP p2,DP *pr);
2144: void mulmd_dup(int mod,DP p1,DP p2,DP *pr);
2145: void comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
2146: void weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
2147: void mulmdm_dup(int mod,DP p,MP m0,DP *pr);
2148: void weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr);
2149: void weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen);
2150: void comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1);
2151: void adddl_dup(int n,DL d1,DL d2,DL *dr);
2152: void monicup(UP a,UP *b);
2153: void simpup(UP a,UP *b);
2154: void simpnum(Num a,Num *b);
2155: void uremp(P p1,P p2,P *rp);
2156: void ugcdp(P p1,P p2,P *rp);
2157: void reversep(P p1,Q d,P *rp);
2158: void invmodp(P p1,Q d,P *rp);
2159: void addup(UP n1,UP n2,UP *nr);
2160: void subup(UP n1,UP n2,UP *nr);
2161: void chsgnup(UP n1,UP *nr);
2162: void hybrid_mulup(int ff,UP n1,UP n2,UP *nr);
2163: void hybrid_squareup(int ff,UP n1,UP *nr);
2164: void hybrid_tmulup(int ff,UP n1,UP n2,int d,UP *nr);
2165: void mulup(UP n1,UP n2,UP *nr);
2166: void mulcup(Num c,UP n1,UP *nr);
2167: void tmulup(UP n1,UP n2,int d,UP *nr);
2168: void squareup(UP n1,UP *nr);
2169: void remup(UP n1,UP n2,UP *nr);
2170: void remup_destructive(UP n1,UP n2);
2171: void qrup(UP n1,UP n2,UP *nq,UP *nr);
2172: void qrup_destructive(UP n1,UP n2);
2173: void gcdup(UP n1,UP n2,UP *nr);
2174: void extended_gcdup(UP a,UP m,UP *r);
2175: void reverseup(UP n1,int d,UP *nr);
2176: void invmodup(UP n1,int d,UP *nr);
2177: void pwrup(UP n,Z e,UP *nr);
2178: int compup(UP n1,UP n2);
2179: void kmulp(VL vl,P n1,P n2,P *nr);
2180: void ksquarep(VL vl,P n1,P *nr);
2181: void kmulup(UP n1,UP n2,UP *nr);
2182: void ksquareup(UP n1,UP *nr);
2183: void copyup(UP n1,UP n2);
2184: void c_copyup(UP n,int len,pointer *p);
2185: void kmulupmain(UP n1,UP n2,UP *nr);
2186: void ksquareupmain(UP n1,UP *nr);
2187: void rembymulup(UP n1,UP n2,UP *nr);
2188: void hybrid_rembymulup_special(int ff,UP n1,UP n2,UP inv2,UP *nr);
2189: void rembymulup_special(UP n1,UP n2,UP inv2,UP *nr);
2190: void tkmulup(UP n1,UP n2,int d,UP *nr);
2191: void shiftup(UP n,int d,UP *nr);
2192: void fft_rembymulup_special(UP n1,UP n2,UP inv2,UP *nr);
2193: void set_degreeup(UP n,int d);
2194: void decompup(UP n,int d,UP *n0,UP *n1);
2195: void truncup(UP n1,int d,UP *nr);
2196: int int_bits(int t);
2197: int maxblenup(UP n);
2198: void uptofmarray(int mod,UP n,ModNum *f);
2199: void fmarraytoup(ModNum *f,int d,UP *nr);
2200: void uiarraytoup(unsigned int **f,int n,int d,UP *nr);
2201: void adj_coefup(UP n,Z m,Z m2,UP *nr);
2202: void remcup(UP n,Z mod,UP *nr);
2203: void fft_mulup(UP n1,UP n2,UP *nr);
2204: void trunc_fft_mulup(UP n1,UP n2,int dbd,UP *nr);
2205: void fft_squareup(UP n1,UP *nr);
2206: void fft_mulup_main(UP n1,UP n2,int dbd,UP *nr);
2207: void crup(ModNum **f,int d,int *mod,int index,Z m,UP *r);
2208: void crup_lm(ModNum **f,int d,int *mod,int index,Z m,Z lm_mod,UP *r);
2209: void fft_mulup_specialmod_main(UP n1,UP n2,int dbd,int *modind,int nmod,UP *nr);
2210: void fft_mulup_lm(UP n1,UP n2,UP *nr);
2211: void fft_squareup_lm(UP n1,UP *nr);
2212: void trunc_fft_mulup_lm(UP n1,UP n2,int dbd,UP *nr);
2213: void fft_rembymulup_special_lm(UP n1,UP n2,UP inv2,UP *nr);
2214: void uptolmup(UP n,UP *nr);
2215: void save_up(UP obj,char *name);
2216: void hybrid_powermodup(UP f,UP *xp);
2217: void powermodup(UP f,UP *xp);
2218: void hybrid_generic_powermodup(UP g,UP f,Z d,UP *xp);
2219: void generic_powermodup(UP g,UP f,Z d,UP *xp);
2220: void hybrid_powertabup(UP f,UP xp,UP *tab);
2221: void powertabup(UP f,UP xp,UP *tab);
2222: void squarep_gf2n(VL vl,P n1,P *nr);
2223: void squareup_gf2n(UP n1,UP *nr);
2224: void powermodup_gf2n(UP f,UP *xp);
2225: void generic_powermodup_gf2n(UP g,UP f,Z d,UP *xp);
2226: void tracemodup_gf2n(UP g,UP f,Z d,UP *xp);
2227: void tracemodup_gf2n_slow(UP g,UP f,Z d,UP *xp);
2228: void tracemodup_gf2n_tab(UP g,UP f,Z d,UP *xp);
2229: void square_rem_tab_up_gf2n(UP f,UP *tab,UP *rp);
2230: void powertabup_gf2n(UP f,UP xp,UP *tab);
2231: void find_root_gf2n(UP f,GF2N *r);
2232: void ptoup2(P n,UP2 *nr);
2233: void ptoup2_sparse(P n,UP2 *nr);
2234: void up2top(UP2 n,P *nr);
2235: void up2tovect(UP2 n,VECT *nr);
2236: void up2ton(UP2 p,Q *n);
2237: void ntoup2(Q n,UP2 *p);
2238: void gen_simpup2(UP2 p,GEN_UP2 m,UP2 *r);
2239: void gen_simpup2_destructive(UP2 p,GEN_UP2 m);
2240: void gen_invup2(UP2 p,GEN_UP2 m,UP2 *r);
2241: void gen_pwrmodup2(UP2 a,Z b,GEN_UP2 m,UP2 *c);
2242: void simpup2(UP2 p,UP2 m,UP2 *r);
2243: int degup2(UP2 a);
2244: int degup2_sparse(UP2 a);
2245: int degup2_1(unsigned int a);
2246: void addup2(UP2 a,UP2 b,UP2 *c);
2247: void subup2(UP2 a,UP2 b,UP2 *c);
2248: void _mulup2_1(UP2 a,unsigned int b,UP2 c);
2249: void _mulup2_h(UP2 a,unsigned int b,UP2 c);
2250: void mulup2(UP2 a,UP2 b,UP2 *c);
2251: void _kmulup2_(unsigned int *a,unsigned int *b,int w,unsigned int *c);
2252: void _mulup2_nn(unsigned int *a,unsigned int *b,int w,unsigned int *c);
2253: void _mulup2(UP2 a,UP2 b,UP2 c);
2254: void _mulup2_(_UP2 a,_UP2 b,_UP2 c);
2255: void squareup2(UP2 n,UP2 *nr);
2256: void _squareup2(UP2 n,UP2 nr);
2257: void _adjup2(UP2 n);
2258: void _adjup2_(_UP2 n);
2259: void _addup2(UP2 a,UP2 b,UP2 c);
2260: void _addup2_destructive(UP2 a,UP2 b);
2261: void _addup2_(_UP2 a,_UP2 b,_UP2 c);
2262: void _addtoup2_(_UP2 a,_UP2 b);
2263: unsigned int mulup2_bb(unsigned int a,unsigned int b);
2264: void init_up2_tab();
2265: void divup2_1(unsigned int a1,unsigned int a2,int e1,int e2,unsigned int *qp,unsigned int *rp);
2266: void qrup2(UP2 a,UP2 b,UP2 *q,UP2 *r);
2267: void _qrup2(UP2 a,UP2 b,UP2 q,UP2 r);
2268: void remup2(UP2 a,UP2 b,UP2 *c);
2269: void _remup2(UP2 a,UP2 b,UP2 c);
2270: void remup2_sparse(UP2 a,UP2 b,UP2 *c);
2271: void remup2_sparse_destructive(UP2 a,UP2 b);
2272: void remup2_type1_destructive(UP2 a,int d);
2273: void remup2_3_destructive(UP2 a,UP2 b);
2274: void remup2_5_destructive(UP2 a,UP2 b);
2275: void _invup2_1(unsigned int f1,unsigned int f2,unsigned int *a1,unsigned int *b1);
2276: void _gcdup2_1(unsigned int f1,unsigned int f2,unsigned int *gcd);
2277: void up2_init_eg();
2278: void up2_show_eg();
2279: void invup2(UP2 a,UP2 m,UP2 *inv);
2280: void gcdup2(UP2 a,UP2 m,UP2 *gcd);
2281: void chsgnup2(UP2 a,UP2 *c);
2282: int compup2(UP2 n1,UP2 n2);
2283: void _copyup2(UP2 n,UP2 r);
2284: void _bshiftup2(UP2 n,int b,UP2 r);
2285: void _bshiftup2_destructive(UP2 n,int b);
2286: void diffup2(UP2 f,UP2 *r);
2287: int sqfrcheckup2(UP2 f);
2288: int irredcheckup2(UP2 f);
2289: int irredcheck_dddup2(UP2 f);
2290: void _copy_up2bits(UP2 p,unsigned int **mat,int pos);
2291: int compute_multiplication_matrix(P p0,GF2MAT *mp);
2292: void compute_change_of_basis_matrix(P p0,P p1,int to,GF2MAT *m01,GF2MAT *m10);
2293: void compute_change_of_basis_matrix_with_root(P p0,P p1,int to,GF2N root,GF2MAT *m01,GF2MAT *m10);
2294: int compute_representation_conversion_matrix(P p0,GF2MAT *np,GF2MAT *pn);
2295: void mul_nb(GF2MAT mat,unsigned int *a,unsigned int *b,unsigned int *c);
2296: void leftshift(unsigned int *a,int n);
2297: void mat_to_gf2mat(MAT a,unsigned int ***b);
2298: void gf2mat_to_mat(unsigned int **a,int n,MAT *b);
2299: void mulgf2mat(int n,unsigned int **a,unsigned int **b,unsigned int **c);
2300: void mulgf2vectmat(int n,unsigned int *a,unsigned int **b,unsigned int *c);
2301: int mulgf2vectvect(int n,unsigned int *a,unsigned int *b);
2302: int invgf2mat(int n,unsigned int **a,unsigned int **b);
2303: void _mulup2_22(unsigned int *a1,unsigned int *a2,unsigned int *ar);
2304: void _mulup2_33(unsigned int *a1,unsigned int *a2,unsigned int *ar);
2305: void _mulup2_44(unsigned int *a1,unsigned int *a2,unsigned int *ar);
2306: void _mulup2_55(unsigned int *a1,unsigned int *a2,unsigned int *ar);
2307: void _mulup2_66(unsigned int *a1,unsigned int *a2,unsigned int *ar);
2308: void type1_bin_invup2(UP2 a,int n,UP2 *inv);
2309: UP2 *compute_tab_gf2n(UP2 f);
2310: UP compute_trace_gf2n(UP2 *tab,GF2N c,int n);
2311: void up2toup(UP2 f,UP *r);
2312: void find_root_up2(UP2 f,GF2N *r);
2313: void addq(Q n1,Q n2,Q *nr);
2314: void subq(Q n1,Q n2,Q *nr);
2315: void mulq(Q n1,Q n2,Q *nr);
2316: void divq(Q n1,Q n2,Q *nq);
2317: void divsq(Q n1,Q n2,Q *nq);
2318: void invq(Q n,Q *nr);
2319: void chsgnq(Q n,Q *nr);
2320: void pwrq(Q n1,Q n,Q *nr);
2321: int cmpq(Q q1,Q q2);
2322: void remq(Q n,Q m,Q *nr);
2323: void mkbc(int n,Z *t);
2324: void mkwcm(int k,int l,int m,int *t);
2325: void invl(Q a,Q mod,Q *ar);
2326: void plisttop(P *f,V v,int n,P *gp);
2327: int divtp(VL vl,P p1,P p2,P *q);
2328: int divtdcp(VL vl,P p1,P p2,P *q);
2329: int divtpz(VL vl,P p1,P p2,P *q);
2330: int divtdcpz(VL vl,P p1,P p2,P *q);
2331: void udivpz(P f1,P f2,P *fqp,P *frp);
2332: void udivpwm(Z mod,P p1,P p2,P *q,P *r);
2333: void udivpzwm(Z mod,P f1,P f2,P *fqp,P *frp);
2334: void henmv(VL vl,VN vn,P f,P g0,P h0,P a0,P b0,P lg,P lh,P lg0,P lh0,Z q,int k,P *gp,P *hp);
2335: void henmvmain(VL vl,VN vn,P f,P fi0,P fi1,P gi0,P gi1,P l0,P l1,Z mod,Z mod2,int k,P *fr0,P *fr1);
2336: void henzq(P f,P i0,UM fi0,P i1,UM fi1,int p,int k,P *fr0p,P *fr1p,P *gr0p,P *gr1p,Z *qrp);
2337: void henzq1(P g,P h,Q bound,P *gcp,P *hcp,Z *qp);
2338: void addm2p(VL vl,Z mod,Z mod2,P n1,P n2,P *nr);
2339: void subm2p(VL vl,Z mod,Z mod2,P n1,P n2,P *nr);
2340: void mulm2p(VL vl,Z mod,Z mod2,P n1,P n2,P *nr);
2341: void addm2q(Z mod,Z mod2,Z n1,Z n2,Z *nr);
2342: void subm2q(Z mod,Z mod2,Z n1,Z n2,Z *nr);
2343: void mulm2q(Z mod,Z mod2,Z n1,Z n2,Z *nr);
2344: void rem2q(Z n,Z m,Z m2,Z *nr);
2345: void exthpc_generic(VL vl,P p,int d,V v,P *pr);
2346: void exthp(VL vl,P p,int d,P *pr);
2347: void exthpc(VL vl,V v,P p,int d,P *pr);
2348: void cbound(VL vl,P p,Q *b);
2349: int geldb(VL vl,P p);
2350: int getdeg(V v,P p);
2351: void cmax(P p,Q *b);
2352: int nextbin(VN vn,int n);
2353: void mulsgn(VN vn,VN vnt,int n,VN vn1);
2354: void next(VN vn);
2355: void clctv(VL vl,P p,VL *nvlp);
2356: void markv(VN vn,int n,P p);
2357: void vntovl(VN vn,int n,VL *vlp);
2358: int dbound(V v,P f);
2359: int homdeg(P f);
2360: int minhomdeg(P f);
2361: void adjc(VL vl,P f,P a,P lc0,Z q,P *fr,P *ar);
2362: void affinemain(VL vl,P p,V v0,int n,P *pl,P *pr);
2363: void restore(VL vl,P f,VN vn,P *fr);
2364: void mergev(VL vl,VL vl1,VL vl2,VL *nvlp);
2365: void substvp(VL vl,P f,VN vn,P *g);
2366: void affine(VL vl,P f,VN vn,P *fr);
2367: void addnum(VL vl,Num a,Num b,Num *c);
2368: void subnum(VL vl,Num a,Num b,Num *c);
2369: void mulnum(VL vl,Num a,Num b,Num *c);
2370: void divnum(VL vl,Num a,Num b,Num *c);
2371: void pwrnum(VL vl,Num a,Num b,Num *c);
2372: void chsgnnum(Num a,Num *c);
2373: int compnum(VL vl,Num a,Num b);
2374: void one_ff(Num *c);
2375: int negative_number(Num c);
2376: void simp_ff(Obj p,Obj *rp);
2377: int fft_available(int d1,int n1,int d2,int n2);
2378: void get_fft_prime(int index,int *p,int *d);
2379: void nglob_init();
2380: void get_eg(struct oEGT *p);
2381: void init_eg(struct oEGT *eg);
2382: void add_eg(struct oEGT *base,struct oEGT *start,struct oEGT *end);
2383: void print_eg(char *item,struct oEGT *eg);
2384: void print_split_eg(struct oEGT *start,struct oEGT *end);
2385: void print_split_e(struct oEGT *start,struct oEGT *end);
2386: void suspend_timer() ;
2387: void resume_timer() ;
2388: void reset_engine() ;
2389: unsigned int get_asir_version() ;
2390: char *get_asir_distribution();
2391: void create_error(ERR *err,unsigned int serial,char *msg,LIST trace);
2392: void init_lprime();
2393: int get_lprime(int index);
2394: void create_new_lprimes(int index);
2395: void reorderp(VL nvl,VL ovl,P p,P *pr);
2396: void substp(VL vl,P p,V v0,P p0,P *pr);
2397: void detp(VL vl,P **rmat,int n,P *dp);
2398: void invmatp(VL vl,P **rmat,int n,P ***imatp,P *dnp);
2399: void reordvar(VL vl,V v,VL *nvlp);
2400: void gcdprsp(VL vl,P p1,P p2,P *pr);
2401: void gcdcp(VL vl,P p,P *pr);
2402: void sprs(VL vl,V v,P p1,P p2,P *pr);
2403: void resultp(VL vl,V v,P p1,P p2,P *pr);
2404: void srch2(VL vl,V v,P p1,P p2,P *pr);
2405: void srcr(VL vl,V v,P p1,P p2,P *pr);
2406: void res_ch_det(VL vl,V v,P p1,P p2,P *pr);
2407: void res_detmp(VL vl,int mod,V v,P p1,P p2,P *dp);
2408: void premp(VL vl,P p1,P p2,P *pr);
2409: void ptozp0(P p,P *pr);
2410: void mindegp(VL vl,P p,VL *mvlp,P *pr);
2411: void maxdegp(VL vl,P p,VL *mvlp,P *pr);
2412: void min_common_vars_in_coefp(VL vl,P p,VL *mvlp,P *pr);
2413: void minlcdegp(VL vl,P p,VL *mvlp,P *pr);
2414: void sort_by_deg(int n,P *p,P *pr);
2415: void sort_by_deg_rev(int n,P *p,P *pr);
2416: void minchdegp(VL vl,P p,VL *mvlp,P *pr);
2417: int getchomdeg(V v,P p);
2418: int getlchomdeg(V v,P p,int *d);
2419: int nmonop(P p);
2420: int qpcheck(Obj p);
2421: int uzpcheck(Obj p);
2422: int p_mag(P p);
2423: int maxblenp(P p);
2424: void berle(int index,int count,P f,ML *listp);
2425: int berlecnt(int mod,UM f);
2426: int berlecntmain(int mod,int n,int m,int **c);
2427: UM *berlemain(int mod,UM f,UM *fp);
2428: void hensel(int index,int count,P f,ML *listp);
2429: void hensel2(int index,int count,P f,ML *listp);
2430: void henmain2(LUM f,UM g0,UM h0,UM a0,UM b0,int m,int bound,LUM *gp);
2431: void clearlum(int n,int bound,LUM f);
2432: void addtolum(int m,int bound,LUM f,LUM g);
2433: void hsq(int index,int count,P f,int *nindex,DCP *dcp);
2434: void gcdgen(P f,ML blist,ML *clistp);
2435: void henprep2(int mod,int q,int k,UM f,UM g,UM h,UM qg,UM qh,UM qa,UM qb);
2436: void henprep(P f,ML blist,ML clist,ML *bqlistp,ML *cqlistp);
2437: void henmain(LUM f,ML bqlist,ML cqlist,ML *listp);
2438: int mignotte(int q,P f);
2439: int mig(int q,int d,P f);
2440: void sqad(mp_limb_t man,int exp);
2441: void ptolum(int q,int bound,P f,LUM fl);
2442: void modfctrp(P p,int mod,int flag,DCP *dcp);
2443: void gensqfrum(int mod,UM p,struct oDUM *dc);
2444: void ddd(int mod,UM f,UM *r);
2445: void canzas(int mod,UM f,int d,UM *base,UM *r);
2446: void randum(int mod,int d,UM p);
2447: void pwrmodum(int mod,UM p,int e,UM f,UM pr);
2448: void spwrum0(int mod,UM m,UM f,Z e,UM r);
2449: void mult_mod_tab(UM p,int mod,UM *tab,UM r,int d);
2450: void make_qmat(UM p,int mod,UM *tab,int ***mp);
2451: void null_mod(int **mat,int mod,int n,int *ind);
2452: void null_to_sol(int **mat,int *ind,int mod,int n,UM *r);
2453: void newddd(int mod,UM f,UM *r);
2454: int nfctr_mod(UM f,int mod);
2455: int irred_check(UM f,int mod);
2456: int berlekamp(UM p,int mod,int df,UM *tab,UM *r);
2457: void minipoly_mod(int mod,UM f,UM p,UM mp);
2458: void lnf_mod(int mod,int n,UM p0,UM p1,struct p_pair *list,UM np0,UM np1);
2459: void showum(UM p);
2460: void showumat(int **mat,int n);
2461: int find_root(int mod,UM p,int *root);
2462: void fctrp(VL vl,P f,DCP *dcp);
2463: void fctr_wrt_v_p(VL vl,P f,V v,DCP *dcp);
2464: void homfctr(VL vl,P g,DCP *dcp);
2465: void mfctr(VL vl,P f,DCP *dcp);
2466: void mfctr_wrt_v(VL vl,P f,V v,DCP *dcp);
2467: void adjsgn(P p,DCP dc);
2468: int headsgn(P p);
2469: void fctrwithmvp(VL vl,P f,V v,DCP *dcp);
2470: void mfctrwithmv(VL vl,P f,V v,DCP *dcp);
2471: void ufctr(P f,int hint,DCP *dcp);
2472: void mfctrmain(VL vl,P p,DCP *dcp);
2473: void ufctrmain(P p,int hint,DCP *dcp);
2474: void cycm(V v,int n,DCP *dcp);
2475: void cycp(V v,int n,DCP *dcp);
2476: void calcphi(V v,int n,struct oMF *mfp);
2477: void mkssum(V v,int e,int s,int sgn,P *r);
2478: int iscycp(P f);
2479: int iscycm(P f);
2480: void sortfs(DCP *dcp);
2481: void sortfsrev(DCP *dcp);
2482: void nthrootchk(P f,struct oDUM *dc,ML fp,DCP *dcp);
2483: void sqfrp(VL vl,P f,DCP *dcp);
2484: void msqfr(VL vl,P f,DCP *dcp);
2485: void usqp(P f,DCP *dcp);
2486: void msqfrmain(VL vl,P p,DCP *dcp);
2487: void msqfrmainmain(VL vl,P p,VN vn,P p0,DCP dc0,DCP *dcp,P *pp);
2488: void mfctrhen2(VL vl,VN vn,P f,P f0,P g0,P h0,P lcg,P lch,P *gp);
2489: int sqfrchk(P p);
2490: int cycchk(P p);
2491: int zerovpchk(VL vl,P p,VN vn);
2492: int valideval(VL vl,DCP dc,VN vn);
2493: void estimatelc(VL vl,Z c,DCP dc,VN vn,P *lcp);
2494: void monomialfctr(VL vl,P p,P *pr,DCP *dcp);
2495: void afctr(VL vl,P p0,P p,DCP *dcp);
2496: void afctrmain(VL vl,P p0,P p,int init,DCP *dcp);
2497: int divtmp(VL vl,int mod,P p1,P p2,P *q);
2498: int divtdcmp(VL vl,int mod,P p1,P p2,P *q);
2499: void GC_gcollect();
2500:
2501: /* IMAT */
2502: void Pnewimat(NODE, IMAT *);
2503: void PChsgnI(NODE, IMAT *);
2504: void Pm2Im(NODE, IMAT *);
2505: void PIm2m(NODE, MAT *);
2506:
2507: void AddMatI(VL, IMAT, IMAT, IMAT *);
2508: void MulMatI(VL, IMAT, IMAT, IMAT *);
2509: void MulMatG(VL, Obj, Obj, Obj *);
2510: void MulrMatI(VL, Obj, Obj, Obj *);
2511: void MulMatS(VL, IMAT, IMAT, IMAT *);
2512: void PutIent(IMAT, int, int, Obj);
2513: void GetIent(IMAT, int, int, Obj);
2514: void GetIbody(IMAT, int, int, Obj *);
2515: void ChsgnI(IMAT, IMAT *c);
2516: void AppendIent(IMAT, int, int, Obj);
2517: void MEnt(int, int, int, Obj, IENT *);
2518: void GetForeIent(IMATC *, IENT *, int *);
2519: void GetNextIent(IMATC *, IENT *, int *);
2520: void SubMatI(VL, IMAT, IMAT, IMAT *);
2521: /* IMAT */
2522:
2523:
2524: #if 0 && !defined(VISUAL) && !defined(__MINGW32__)
2525: void bzero(const void *,int);
2526: void bcopy(const void *,void *,int);
2527: char *index(char *,int);
2528: #endif
2529:
2530: void chsgnnbp(NBP p,NBP *rp);
2531: void subnbp(VL vl,NBP p1,NBP p2, NBP *rp);
2532: void addnbp(VL vl,NBP p1,NBP p2, NBP *rp);
2533: void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp);
2534: void pwrnbp(VL vl,NBP p1,Z n, NBP *rp);
2535: int compnbp(VL vl,NBP p1,NBP p2);
2536:
2537: #define WORDSIZE_IN_N(a) (ABS((a)->_mp_size)*GMP_LIMB_BITS/32)
2538:
2539: #define MPZTOZ(g,q) (!mpz_sgn(g)?((q)=0):(NEWZ(q),BDY(q)[0]=(g)[0],(q)))
2540: #define MPDNTOQ(n,d,q) (NEWQ(q),mpq_numref(BDY(q))[0]=(n)[0],mpq_denref(BDY(q))[0]=(d)[0],(q))
2541: #define MPQTOQ(g,q) (!mpq_sgn(g)?((q)=0):(NEWQ(q),BDY(q)[0]=(g)[0],(q)))
2542:
2543: #define INTMPQ(a) (!mpz_cmp_ui(mpq_denref(a),1))
1.3 noro 2544: #define INTQ(a) ((a)&&NUM(a)&&RATN(a)&&((Q)a)->z==1)
1.1 noro 2545: #define UNIQ(a) (INTQ(a)&&!mpz_cmp_si(BDY((Z)a),1))
2546: #define MUNIQ(a) (INTQ(a)&&!mpz_cmp_si(BDY((Z)a),-1))
2547:
2548: #define MPZTOMPQ(z,q) (mpq_init(q),mpq_numref(q)[0] = (z)[0],mpz_set_ui(mpq_denref(q),1))
2549:
2550: #define MPFRTOBF(g,q) (NEWBF(q),BDY(q)[0]=(g)[0],(q))
2551:
2552: void *gc_realloc(void *p,size_t osize,size_t nsize);
2553: void gc_free(void *p,size_t size);
2554: void init_gmpq();
2555: Q mpqtozq(mpq_t a);
1.2 noro 2556:
2557: unsigned long mul64(unsigned long a,unsigned long b,unsigned long *c);
2558: unsigned long mod64(unsigned long u,unsigned long l,unsigned long b);
2559: unsigned long mulmod64(unsigned long a,unsigned long b,unsigned long m);
2560: unsigned long muladdmod64(unsigned long a,unsigned long b,unsigned long c,unsigned long m);
2561: unsigned long invmod64(unsigned long a,unsigned long m);
2562:
1.1 noro 2563: void addz(Z n1,Z n2,Z *nr);
2564: void subz(Z n1,Z n2,Z *nr);
2565: void mulz(Z n1,Z n2,Z *nr);
2566: void mul1z(Z n1,long n2,Z *nr);
2567: void muladdtoz(Z n1,Z n2,Z *nr);
2568: void mul1addtoz(Z n1,long n2,Z *nr);
2569: void divz(Z n1,Z n2,Z *nq);
2570: void divqrz(Z n1,Z n2,Z *nq,Z *nr);
2571: void remz(Z n1,Z n2,Z *nr);
2572: void invz(Z n1,Z n2,Z *nr);
2573: void chsgnz(Z n,Z *nr);
2574: void absz(Z n,Z *nr);
2575: int evenz(Z n);
2576: int smallz(Z n);
2577: void bshiftz(Z n,int s,Z *nr);
2578: void pwrz(Z n1,Z n,Z *nr);
2579: int cmpz(Z q1,Z q2);
2580: void gcdz(Z n1,Z n2,Z *nq);
2581: void lcmz(Z n1,Z n2,Z *nq);
2582: void gcdvz(VECT v,Z *q);
2583: void gcdvz_estimate(VECT v,Z *q);
2584: void factorialz(unsigned int n,Z *nr);
2585: void randomz(int blen,Z *nr);
2586: int tstbitz(Z n,int k);
2587: void addq(Q n1,Q n2,Q *nr);
2588: void subq(Q n1,Q n2,Q *nr);
2589: void mulq(Q n1,Q n2,Q *nr);
2590: void divq(Q n1,Q n2,Q *nq);
2591: void chsgnq(Q n,Q *nr);
2592: void absq(Q n,Q *nr);
2593: void pwrq(Q n1,Q n,Q *nr);
2594: int cmpq(Q n1,Q n2);
2595: void mkwc(int k,int l,Z *t);
2596: unsigned int remqi(Q n,unsigned int m);
2597: void nmq(Q q,Z *z);
2598: void dnq(Q q,Z *z);
2599: void _mdtodp(DP p,DP *pr);
2600: void add_denomlist(P f);
2601: void algobjtorat(Obj f,Obj *r);
2602: void algtodalg(Alg a,DAlg *r);
2603: void appenduflist(NODE n);
2604: void arf_add(VL,Obj,Obj,Obj *);
2605: void arf_chsgn(Obj,Obj *);
2606: void arf_div(VL,Obj,Obj,Obj *);
2607: void arf_mul(VL,Obj,Obj,Obj *);
2608: void arf_sub(VL,Obj,Obj,Obj *);
2609: void asir_terminate(int);
2610: void check_intr();
2611: void clctalg(P,VL *);
2612: void comm_muld_trunc(VL vl,DP p1,DP p2,DL dl,DP *pr);
2613: void comm_quod(VL vl,DP p1,DP p2,DP *pr);
2614: void create_modorder_spec(int id,LIST shift,struct modorder_spec **s);
2615: void dalgtoalg(DAlg da,Alg *r);
2616: void divsz(Z n1,Z n2,Z *nq);
2617: void dp_ht(DP p,DP *rp);
2618: void dp_interreduce(LIST f,LIST v,int field,struct order_spec *ord,LIST *rp);
2619: void dp_mbase(NODE,NODE *);
2620: void dp_nf_tab_f(DP p,LIST *tab,DP *rp);
2621: void dp_ptozp(DP,DP *);
2622: void dp_sort(DP p,DP *rp);
2623: void dp_subd(DP,DP,DP *);
2624: void dp_true_nf(NODE,DP,DP *,int,DP *,P *);
2625: void dp_true_nf_marked(NODE b,DP g,DP *ps,DP *hps,DP *rp,P *nmp,P *dnp);
2626: void dp_true_nf_marked_mod(NODE b,DP g,DP *ps,DP *hps,int mod,DP *rp,P *dnp);
2627: void gbcheck_list(NODE f,int n,VECT *gp,LIST *pp);
2628: void gcdsf(VL vl,P *pa,int k,P *r);
2629: void get_algtree(Obj f,VL *r);
2630: void get_vars(Obj,VL *);
2631: void gfstopgfs(GFS a,V v,P *c);
2632: void henmain_incremental(LUM f,LUM *bqlist,ML cqlist, int np, int mod, int start, int bound);
2633: void iftogfs(int n,GFS *c);
2634: void indextogfs(int index,GFS *c);
2635: void init_denomlist();
2636: void inva_chrem(P p0,P p,NODE *pr);
2637: void itogfs(int n,GFS *c);
2638: void makevar(char *,P *);
2639: void mdtodp(DP p,DP *pr);
2640: void mfctrsf(VL vl,P f,DCP *dcp);
2641: void mulp_trunc(VL vl,P p1,P p2,VN vn,P *pr);
2642: void nd_det(int mod,MAT f,P *rp);
2643: void nd_gr(LIST f,LIST v,int m,int homo,int retdp,int f4,struct order_spec *ord,LIST *rp);
2644: void nd_gr_postproc(LIST f,LIST v,int m,struct order_spec *ord,int do_check,LIST *rp);
2645: void nd_gr_recompute_trace(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,LIST *rp);
1.9 noro 2646: void nd_gr_trace(LIST f,LIST v,int trace,int homo,int retdp,int f4,struct order_spec *ord,LIST *rp);
1.1 noro 2647: void nd_nf_p(Obj f,LIST g,LIST v,int m,struct order_spec *ord,Obj *rp);
2648: void obj_algtodalg(Obj obj,Obj *r);
2649: void obj_dalgtoalg(Obj obj,Obj *r);
2650: void ox_bcast_102(int root);
2651: void ox_reduce_102(int root,void (*func)());
2652: void print_to_wfep(Obj obj);
2653: void printz(Z n);
2654: void pthrootgfs(GFS a,GFS *b);
2655: void quop_trunc(VL vl,P p1,P p2,VN vn,P *pr);
2656: void red_by_vect_sf(int m,unsigned int *p,unsigned int *r,unsigned int hc,int len);
2657: void red_by_vect_lf(mpz_t *p,mpz_t *r,mpz_t hc,int len);
2658: void removecont_array(P *c,int n,int full);
2659: void reset_top_weight();
2660: void setfield_dalg(NODE alist);
2661: void setfield_gb(NODE gb,VL vl,struct order_spec *spec);
2662: void setsecuremode(int value);
2663: void sfbfctr_shift(P f,V x,V y,int degbound,GFS *evp,P *sfp,DCP *dcp);
2664: void sfexgcd_by_hensel(BM g,BM h,int dy,BM *ap,BM *bp);
2665: void sfptopsfp(P f,V v,P *gp);
2666: void simpdalg(DAlg da,DAlg *r);
2667: void simple_derivr(VL vl,Obj a,V v,Obj *b);
2668: void substpp(VL vl,P p,V *vvect,P *svect,int nv,P *pr);
2669: void ufctrsf(P p,DCP *dcp);
2670: void vltopl(VL vl,LIST *l);
2671:
2672: int arf_comp(VL, Obj, Obj);
2673: int available_mcindex(int ind);
2674: int compare_zero(int n,int *u,int row,int **w);
2675: int create_composite_order_spec(VL vl,LIST order,struct order_spec **specp);
2676: int create_order_spec(VL,Obj,struct order_spec **);
2677: int dalgtoup(DAlg da,P *up,Z *dn);
2678: int dl_equal(int nv,DL dl1,DL dl2);
2679: int dp_redble(DP,DP);
2680: int dpv_hp(DPV p);
2681: int generic_gauss_elim(MAT mat,MAT *nm,Z *dn,int **rindp,int **cindp);
2682: int generic_gauss_elim2(MAT mat,MAT *nm,Z *dn,int **rindp,int **cindp);
2683: int generic_gauss_elim_full(MAT mat,MAT *nm,Z *dn,int **rindp,int **cindp);
2684: int generic_gauss_elim_direct(MAT mat,MAT *nm,Z *dn,int **rindp,int **cindp);
2685: int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Z *dn,int **rindp,int **cindp);
2686: int generic_gauss_elim_hensel_dalg(MAT mat,DP *mb,MAT *nmmat,Z *dn,int **rindp,int **cindp);
2687: int generic_gauss_elim_mod(int **mat0,int row,int col,int md,int *colstat);
2688: int generic_gauss_elim_mod2(int **mat0,int row,int col,int md,int *colstat,int *rowstat);
2689: int get_field_type(P p);
2690: int get_ox_server_id(int index);
2691: int getsecuremode();
2692: int find_lhs_and_lu_mod(unsigned int **a,int row,int col,unsigned int md,int **rinfo,int **cinfo);
2693: void solve_by_lu_mod(int **a,int n,int md,int **b,int l,int normalize);
2694: int inttorat(Z c,Z m,Z b,Z *nmp,Z *dnp);
2695: int intvtoratv(Z *v,int n,Z md,Z b,Z *nm,Z *dn);
2696: int intmtoratm(MAT mat,Z md,MAT nm,Z *dn);
2697: int intmtoratm2(MAT mat,Z md,MAT nm,Z *dn,int *stat);
2698: int gensolve_check(MAT mat,MAT nm,Z dn,int *rind,int *cind);
2699: int gensolve_check2(MAT mat,MAT nm,Z *dn,int *rind,int *cind);
2700: int invdalg(DAlg a,DAlg *c);
2701: int is_eq(Obj a0,Obj a1);
2702: int length(NODE);
2703: int lu_mod(unsigned int **a,int n,unsigned int md,int **rinfo);
2704: int n_bits_z(Z a);
2705: int nd_gauss_elim_z(Z **mat0,int *sugar,int row,int col,int *colstat);
2706: int poly_is_dependent(P p,V v);
2707: int setsecureflag(char *name,int value);
2708: int sfdegtest(int dy,int bound,UM *d1c,int k,int *in);
2709: int sgnz(Z n);
2710: int sgnq(Q n);
2711: void binarytoz(char *binary,Z *np);
2712: void hextoz(char *hex,Z *np);
2713: void todouble(Obj,Obj *);
2714:
2715: void lmtolf(LM f,Z *b);
2716:
1.5 noro 2717: #if SIZEOF_LONG == 8
2718: mp_limb_t get_lprime64(int index);
2719: mp_limb_t **almat64(int,int);
2720: mp_limb_t remqi64(Q n,mp_limb_t m);
1.6 noro 2721: int generic_gauss_elim64(MAT mat,MAT *nm,Z *dn,int **rindp,int **cindp);
2722: int generic_gauss_elim_mod64(mp_limb_t **mat,int row,int col,mp_limb_t md,int *colstat);
1.5 noro 2723: #endif
2724:
1.1 noro 2725: #if defined(VISUAL) || defined(__MINGW32__)
2726: void check_intr();
2727: void enter_signal_cs();
2728: void leave_signal_cs();
2729: void leave_signal_cs_all();
2730: #define LEAVE_SIGNAL_CS_ALL leave_signal_cs_all()
2731: #else
2732: #define LEAVE_SIGNAL_CS_ALL
2733: #endif
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