Annotation of OpenXM_contrib2/asir2000/include/ca.h, Revision 1.1.1.1
1.1 noro 1: /* $OpenXM: OpenXM/src/asir99/include/ca.h,v 1.1.1.1 1999/11/10 08:12:30 noro Exp $ */
2: #include <stdio.h>
3:
4: #if defined(hpux)
5: #include <netinet/in.h>
6: # define setbuffer(FP,buf,siz) setvbuf(FP,buf,_IOFBF,siz)
7: #endif
8:
9: #if defined(VISUAL)
10: #include <stdlib.h>
11: #endif
12:
13: #if defined(__MWERKS__)
14: #define THINK_C
15: #endif
16:
17: #if defined(linux) || (defined(sun) && !defined(SYSV)) || defined(news5000) || (defined(mips) && defined(ultrix))
18: #include <alloca.h>
19: #endif
20:
21: #if (defined(sun) && defined(SYSV))
22: #define alloca(x) __builtin_alloca(x)
23: #endif
24:
25: #if defined(VISUAL)
26: #include <malloc.h>
27: #endif
28:
29: #if 0
30: #include <sys/types.h>
31: typedef caddr_t pointer;
32: #endif
33:
34: #ifndef PARI
35: /* for THINK C ... */
36: #define PARI 1
37: #endif
38:
39: typedef void * pointer;
40:
41: #if defined(VISUAL)
42: #include <string.h>
43: #define index(s,c) strchr(s,c)
44: #define bzero(s,len) memset(s,0,len)
45: #define bcopy(x,y,len) memcpy(y,x,len)
46: #endif
47:
48: #define COPY(a,b) ((b)=(a))
49: #define FREEN(p)
50: #define FREEQ(p)
51: #define FREE(p)
52: #define INITRC(p)
53:
54: /* data structures */
55:
56: #define O_N 1
57: #define O_P 2
58: #define O_R 3
59: #define O_LIST 4
60: #define O_VECT 5
61: #define O_MAT 6
62: #define O_STR 7
63: #define O_COMP 8
64: #define O_DP 9
65: #define O_USINT 10
66: #define O_ERR 11
67: #define O_GF2MAT 12
68: #define O_MATHCAP 13
69: #define O_F 14
70: #define O_GFMMAT 15
71: #define O_VOID -1
72:
73: #define N_Q 0
74: #define N_R 1
75: #define N_A 2
76: #define N_B 3
77: #define N_C 4
78: #define N_M 5
79: #define N_LM 6
80: #define N_GF2N 7
81: #define N_GFPN 8
82:
83: #define ORD_REVGRADLEX 0
84: #define ORD_GRADLEX 1
85: #define ORD_LEX 2
86:
87: #if LONG_IS_32BIT
88: #if defined(VISUAL)
89: typedef _int64 L;
90: typedef unsigned _int64 UL;
91: #else
92: typedef long long L;
93: typedef unsigned long long UL;
94: #endif
95: #else
96: typedef long L;
97: typedef unsigned long UL;
98: #endif
99:
100: typedef struct oN {
101: int p;
102: unsigned int b[1];
103: } *N;
104:
105: typedef struct oUP2 {
106: int w;
107: unsigned int b[1];
108: } *UP2;
109:
110: typedef struct _oUP2 {
111: int w;
112: unsigned int *b;
113: } *_UP2;
114:
115: #define UP2_DENSE 0
116: #define UP2_SPARSE 1
117:
118: typedef struct oGEN_UP2 {
119: int id;
120: UP2 dense;
121: UP2 sparse;
122: } *GEN_UP2;
123:
124: typedef struct oV {
125: char *name;
126: pointer attr;
127: pointer priv;
128: } *V;
129:
130: typedef struct oQ {
131: short id;
132: char nid;
133: char sgn;
134: N nm;
135: N dn;
136: } *Q;
137:
138: typedef struct oReal {
139: short id;
140: char nid;
141: char pad;
142: double body;
143: } *Real;
144:
145: typedef struct oAlg {
146: short id;
147: char nid;
148: char pad;
149: struct oObj *body;
150: } *Alg;
151:
152: typedef struct oBF {
153: short id;
154: char nid;
155: char pad;
156: long body[1];
157: } *BF;
158:
159: typedef struct oC {
160: short id;
161: char nid;
162: char pad;
163: struct oNum *r,*i;
164: } *C;
165:
166: typedef struct oLM {
167: short id;
168: char nid;
169: char pad;
170: struct oN *body;
171: } *LM;
172:
173: typedef struct oGF2N {
174: short id;
175: char nid;
176: char pad;
177: struct oUP2 *body;
178: } *GF2N;
179:
180: typedef struct oGFPN {
181: short id;
182: char nid;
183: char pad;
184: struct oUP *body;
185: } *GFPN;
186:
187: typedef struct oNum {
188: short id;
189: char nid;
190: char pad;
191: } *Num;
192:
193: typedef struct oMQ {
194: short id;
195: char nid;
196: char pad;
197: int cont;
198: } *MQ;
199:
200: typedef struct oP {
201: short id;
202: short pad;
203: V v;
204: struct oDCP *dc;
205: } *P;
206:
207: typedef struct oR {
208: short id;
209: short reduced;
210: P nm;
211: P dn;
212: } *R;
213:
214: typedef struct oVECT {
215: short id;
216: short pad;
217: int len;
218: pointer *body;
219: } *VECT;
220:
221: typedef struct oMAT {
222: short id;
223: short pad;
224: int row,col;
225: pointer **body;
226: } *MAT;
227:
228: typedef struct oGF2MAT {
229: short id;
230: short pad;
231: int row,col;
232: unsigned int **body;
233: } *GF2MAT, *GFMMAT;
234:
235: typedef struct oLIST {
236: short id;
237: short pad;
238: struct oNODE *body;
239: } *LIST;
240:
241: typedef struct oSTRING {
242: short id;
243: short pad;
244: char *body;
245: } *STRING;
246:
247: typedef struct oCOMP {
248: short id;
249: short type;
250: struct oObj *member[1];
251: } *COMP;
252:
253: typedef struct oDP {
254: short id;
255: short nv;
256: int sugar;
257: struct oMP *body;
258: } *DP;
259:
260: typedef struct oUSINT {
261: short id;
262: short pad;
263: unsigned body;
264: } *USINT;
265:
266: typedef struct oERR {
267: short id;
268: short pad;
269: struct oObj *body;
270: } *ERR;
271:
272: typedef struct oMATHCAP {
273: short id;
274: short pad;
275: struct oLIST *body;
276: } *MATHCAP;
277:
278: typedef struct oObj {
279: short id;
280: short pad;
281: } *Obj;
282:
283: typedef struct oDCP {
284: Q d;
285: P c;
286: struct oDCP *next;
287: } *DCP;
288:
289: typedef struct oMP {
290: struct oDL *dl;
291: P c;
292: struct oMP *next;
293: } *MP;
294:
295: typedef struct oDL {
296: int td;
297: int d[1];
298: } *DL;
299:
300: typedef struct oVL {
301: V v;
302: struct oVL *next;
303: } *VL;
304:
305: typedef struct oNODE {
306: pointer body;
307: struct oNODE *next;
308: } *NODE;
309:
310: typedef struct oUM {
311: int d;
312: int c[1];
313: } *UM;
314:
315: typedef struct oLUM {
316: int d;
317: int *c[1];
318: } *LUM;
319:
320: typedef struct oML {
321: int n;
322: int mod;
323: int bound;
324: pointer c[1];
325: } *ML;
326:
327: typedef struct oUB {
328: int d;
329: N c[1];
330: } *UB;
331:
332: typedef struct oVN {
333: V v;
334: int n;
335: } *VN;
336:
337: typedef struct oUP {
338: int d;
339: Num c[1];
340: } *UP;
341:
342: typedef struct oDUM {
343: int n;
344: UM f;
345: } *DUM;
346:
347: struct order_pair {
348: int order, length;
349: };
350:
351: struct order_spec {
352: int id;
353: Obj obj;
354: int nv;
355: union {
356: int simple;
357: struct {
358: int length;
359: struct order_pair *order_pair;
360: } block;
361: struct {
362: int row;
363: int **matrix;
364: } matrix;
365: } ord;
366: };
367:
368: /* structure for cputime */
369:
370: struct oEGT {
371: double exectime,gctime;
372: };
373:
374: /* constant */
375:
376: /* ground finite field specification */
377: #define FF_NOT_SET 0
378: #define FF_GFP 1
379: #define FF_GF2N 2
380: #define FF_GFPN 3
381:
382: #define INDEX 100
383:
384: #if USE_FLOAT
385: typedef float ModNum;
386: #define NPrimes 536
387: #else
388: typedef unsigned int ModNum;
389: #define NPrimes 13681
390: #endif
391:
392: /* general macros */
393: #define MAX(a,b) ((a) > (b) ? (a) : (b) )
394: #define MIN(a,b) ((a) > (b) ? (b) : (a) )
395: #ifdef ABS
396: #undef ABS
397: #endif
398: #define ABS(a) ((a)>0?(a):-(a))
399: #define ID(p) ((p)->id)
400: #define OID(p) (((Obj)(p))->id)
401: #define NID(p) (((Num)(p))->nid)
402: #define BDY(p) ((p)->body)
403: #define VR(p) ((p)->v)
404: #define NAME(p) ((p)->name)
405: #define NEXT(p) ((p)->next)
406: #define NM(q) ((q)->nm)
407: #define DN(q) ((q)->dn)
408: #define SGN(q) ((q)->sgn)
409: #define DC(p) ((p)->dc)
410: #define COEF(p) ((p)->c)
411: #define DEG(p) ((p)->d)
412: #define PL(n) ((n)->p)
413: #define BD(n) ((n)->b)
414: #define CONT(a) ((a)->cont)
415: #define UDEG(f) BD(NM(DEG(DC(f))))[0]
416: #define UCOEF(f) (COEF(DC(f)))
417: #define LC(f) (NUM(f)?(f):COEF(DC(f)))
418:
419: /* memory allocators (W_... : uses alloca) */
420:
421: #if 0
422: #define MALLOC(d) Risa_GC_malloc(d)
423: #define MALLOC_ATOMIC(d) Risa_GC_malloc_atomic(d)
424: #define REALLOC(p,d) Risa_GC_realloc(p,d)
425: #else
426: #define MALLOC(d) GC_malloc(d)
427: #define MALLOC_ATOMIC(d) GC_malloc_atomic(d)
428: #define REALLOC(p,d) GC_realloc(p,d)
429: #endif
430: #define CALLOC(d,e) MALLOC((d)*(e))
431:
432: #if (defined(__GNUC__) || defined(vax) || defined(apollo) || defined(alloca) || defined(VISUAL))
433: #define ALLOCA(d) alloca(d)
434: #else
435: #define ALLOCA(d) MALLOC(d)
436: #endif
437:
438: #define TRUESIZE(type,n,atype) (sizeof(struct type)+MAX((n),0)*sizeof(atype))
439: #define NALLOC(d) ((N)MALLOC_ATOMIC(TRUESIZE(oN,(d)-1,int)))
440: #define UMALLOC(d) ((UM)MALLOC(TRUESIZE(oUM,d,int)))
441: #define UPALLOC(d) ((UP)MALLOC(TRUESIZE(oUP,(d),Num)))
442: #define C_UMALLOC(d) ((UM)MALLOC(TRUESIZE(oUM,d,int)))
443: #define MLALLOC(d) ((ML)MALLOC(TRUESIZE(oML,d,pointer)))
444:
445: #define W_ALLOC(d) ((int *)ALLOCA(((d)+1)*sizeof(int)))
446: #define W_CALLOC(n,type,p) \
447: ((p)=(type *)ALLOCA(((n)+1)*sizeof(type)),\
448: bzero((char *)(p),(int)(((n)+1)*sizeof(type))))
449: #define W_UMALLOC(d) ((UM)ALLOCA(TRUESIZE(oUM,d,int)))
450: #define W_UPALLOC(d) ((UP)ALLOCA(TRUESIZE(oUP,(d),Num)))
451: #define W_MLALLOC(d) ((ML)ALLOCA(TRUESIZE(oML,d,pointer)))
452: #define W_LUMALLOC(n,bound,p)\
453: {\
454: LUM ___q___;\
455: int ___i___,**___c___;\
456: (___q___) = (LUM)ALLOCA(TRUESIZE(oLUM,(n),int *));\
457: DEG(___q___) = n;\
458: for ( ___i___ = 0, ___c___ = (int **)COEF(___q___); ___i___ <= n; ___i___++ ) {\
459: ___c___[___i___] = (int *)ALLOCA(((bound)+1)*sizeof(int));\
460: bzero((char *)___c___[___i___],((bound)+1)*sizeof(int));\
461: }\
462: (p) = ___q___;\
463: }
464:
465: #define NEWUP2(q,w)\
466: ((q)=(UP2)MALLOC_ATOMIC(TRUESIZE(oUP2,(w)-1,unsigned int)),\
467: bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
468: #define W_NEWUP2(q,w)\
469: ((q)=(UP2)ALLOCA(TRUESIZE(oUP2,(w)-1,unsigned int)),\
470: bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
471: #define W_NEW_UP2(q,w)\
472: ((q).b=(unsigned int *)ALLOCA((w)*sizeof(unsigned int)))
473:
474: /* cell allocators */
475: #define NEWQ(q) ((q)=(Q)MALLOC(sizeof(struct oQ)),OID(q)=O_N,NID(q)=N_Q)
476: #define NEWMQ(q) ((q)=(MQ)MALLOC_ATOMIC(sizeof(struct oMQ)),OID(q)=O_N,NID(q)=N_M)
477: #define NEWP(p) ((p)=(P)MALLOC(sizeof(struct oP)),OID(p)=O_P)
478: #define NEWR(r) ((r)=(R)MALLOC(sizeof(struct oR)),OID(r)=O_R,(r)->reduced=0)
479: #define NEWLIST(l) ((l)=(LIST)MALLOC(sizeof(struct oLIST)),OID(l)=O_LIST)
480: #define NEWVECT(l) ((l)=(VECT)MALLOC(sizeof(struct oVECT)),OID(l)=O_VECT)
481: #define NEWSTR(l) ((l)=(STRING)MALLOC(sizeof(struct oSTRING)),OID(l)=O_STR)
482: #define NEWCOMP(c,n) ((c)=(COMP)MALLOC(sizeof(struct oCOMP)+((n)-1)*sizeof(Obj)),OID(c)=O_COMP)
483: #define NEWDP(d) ((d)=(DP)MALLOC(sizeof(struct oDP)),OID(d)=O_DP)
484: #define NEWUSINT(u) ((u)=(USINT)MALLOC_ATOMIC(sizeof(struct oUSINT)),OID(u)=O_USINT)
485: #define NEWERR(e) ((e)=(ERR)MALLOC(sizeof(struct oERR)),OID(e)=O_ERR)
486: #define NEWMATHCAP(e) ((e)=(MATHCAP)MALLOC(sizeof(struct oMATHCAP)),OID(e)=O_MATHCAP)
487:
488: #define NEWNODE(a) ((a)=(NODE)MALLOC(sizeof(struct oNODE)))
489: #define NEWDC(dc) ((dc)=(DCP)MALLOC(sizeof(struct oDCP)))
490: #define NEWV(v) ((v)=(V)MALLOC(sizeof(struct oV)))
491: #define NEWVL(vl) ((vl)=(VL)MALLOC(sizeof(struct oVL)))
492: #define NEWMP(m) ((m)=(MP)MALLOC(sizeof(struct oMP)))
493:
494: #define NEWMAT(l) ((l)=(MAT)MALLOC(sizeof(struct oMAT)),OID(l)=O_MAT)
495: #define NEWGF2MAT(l) ((l)=(GF2MAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GF2MAT)
496: #define NEWGFMMAT(l) ((l)=(GFMMAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GFMMAT)
497: #define NEWReal(q) ((q)=(Real)MALLOC_ATOMIC(sizeof(struct oReal)),OID(q)=O_N,NID(q)=N_R)
498: #define NEWAlg(r) ((r)=(Alg)MALLOC(sizeof(struct oAlg)),OID(r)=O_N,NID(r)=N_A)
499: #define NEWBF(q,l) ((q)=(BF)MALLOC_ATOMIC(TRUESIZE(oBF,(l)-1,long)),OID(q)=O_N,NID(q)=N_B)
500: #define NEWC(r) ((r)=(C)MALLOC(sizeof(struct oC)),OID(r)=O_N,NID(r)=N_C)
501: #define NEWLM(r) ((r)=(LM)MALLOC(sizeof(struct oLM)),OID(r)=O_N,NID(r)=N_LM)
502: #define NEWGF2N(r) ((r)=(GF2N)MALLOC(sizeof(struct oGF2N)),OID(r)=O_N,NID(r)=N_GF2N)
503: #define NEWGFPN(r) ((r)=(GFPN)MALLOC(sizeof(struct oGFPN)),OID(r)=O_N,NID(r)=N_GFPN)
504: #define NEWDL(d,n) \
505: ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)),bzero((char *)(d),TRUESIZE(oDL,(n)-1,int)))
506:
507: #define MKP(v,dc,p) \
508: (!DEG(dc)?((p)=COEF(dc)):(NEWP(p),VR(p)=(v),DC(p)=(dc),(p)))
509: #define MKV(v,p) \
510: (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
511: DEG(DC(p))=ONE,COEF(DC(p))=(P)ONE,NEXT(DC(p))=0)
512: #define MKRAT(n,d,r,p) \
513: (NEWR(p),NM(p)=(n),DN(p)=(d),(p)->reduced=(r))
514: #define MKMV(v,p) \
515: (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
516: DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
517: #define MKNODE(a,b,c) \
518: (NEWNODE(a),(a)->body=(pointer)b,NEXT(a)=(NODE)(c))
519: #define MKLIST(a,b) (NEWLIST(a),(a)->body=(NODE)(b))
520: #define MKVECT(m,l) \
521: (NEWVECT(m),(m)->len=(l),(m)->body=(pointer *)CALLOC((l),sizeof(pointer)))
522: #define MKMAT(m,r,c) \
523: (NEWMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(pointer **)almat_pointer((r),(c)))
524: #define TOGF2MAT(r,c,b,m) (NEWGF2MAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
525: #define TOGFMMAT(r,c,b,m) (NEWGFMMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
526: #define MKSTR(a,b) (NEWSTR(a),(a)->body=(char *)(b))
527: #define MKDP(n,m,d) (NEWDP(d),(d)->nv=(n),BDY(d)=(m))
528: #define MKLM(b,l) (!(b)?(l)=0:(NEWLM(l),(l)->body=(b),(l)))
529: #define MKGF2N(b,l) (!(b)?(l)=0:(NEWGF2N(l),(l)->body=(b),(l)))
530: #define MKGFPN(b,l) (!(b)?(l)=0:(NEWGFPN(l),(l)->body=(b),(l)))
531: #define MKUSINT(u,b) (NEWUSINT(u),(u)->body=(unsigned)(b))
532: #define MKERR(e,b) (NEWERR(e),(e)->body=(Obj)(b))
533: #define MKMATHCAP(e,b) (NEWMATHCAP(e),(e)->body=(LIST)(b))
534:
535: #define NEXTDC(r,c) \
536: if(!(r)){NEWDC(r);(c)=(r);}else{NEWDC(NEXT(c));(c)=NEXT(c);}
537: #define NEXTNODE(r,c) \
538: if(!(r)){NEWNODE(r);(c)=(r);}else{NEWNODE(NEXT(c));(c)=NEXT(c);}
539: #define NEXTMP(r,c) \
540: if(!(r)){NEWMP(r);(c)=(r);}else{NEWMP(NEXT(c));(c)=NEXT(c);}
541:
542: /* convertors */
543: #define NTOQ(n,s,q) \
544: (!(n)?((q)=0):(NEWQ(q),SGN(q)=(s),NM(q)=(n),DN(q)=0,(q)))
545: #define NDTOQ(n,d,s,q) \
546: ((!(d)||UNIN(d))?NTOQ(n,s,q):(NEWQ(q),SGN(q)=(s),NM(q)=(n),DN(q)=(d),(q)))
547: #define DUPQ(p,q) \
548: (NEWQ(q),SGN(q)=SGN(p),NM(q)=NM(p),DN(q)=DN(p))
549: #define STOQ(n,q) \
550: ((!(n))?((q)=(Q)NULL):(NEWQ(q),\
551: SGN(q)=((n)>0?1:-1),NM(q)=NALLOC(1),\
552: PL(NM(q))=1,BD(NM(q))[0]=ABS(n),DN(q)=0,(q)))
553: #define UTOMQ(a,b) \
554: ((a)?(NEWMQ(b),CONT(b)=(unsigned int)(a),(b)):((b)=0))
555: #define STOMQ(a,b) \
556: ((a)?(NEWMQ(b),CONT(b)=(a),(b)):((b)=0))
557: #define UTON(u,n) \
558: ((!(u))?((n)=(N)NULL):((n)=NALLOC(1),PL(n)=1,BD(n)[0]=(unsigned int)(u),(n)))
559: #define UTOQ(n,q) \
560: ((!(n))?((q)=(Q)NULL):(NEWQ(q),\
561: SGN(q)=1,NM(q)=NALLOC(1),\
562: PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)))
563: #define QTOS(q) (!(q)?0:SGN(q)*((int)BD(NM(q))[0]))
564: #define STON(i,n)\
565: (i?((n)=NALLOC(1),PL(n)=1,BD(n)[0]=(i),(n)):((n)=(N)0))
566: #define PTOR(a,b) \
567: (!(a)?((b)=0):(NEWR(b),NM(b)=(a),DN(b)=(P)ONE,(b)->reduced=1,(b)))
568: #define RTOS(a) (!(a)?0:QTOS((Q)NM((R)a)))
569: #define MKReal(a,b) (!(a)?((b)=0):(NEWReal(b),BDY(b)=(a),(b)))
570: #define MKAlg(b,r) \
571: (!(b)?((r)=0):NUM(b)?((r)=(Alg)(b)):(NEWAlg(r),BDY(r)=(Obj)(b),(r)))
572:
573: #define ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):0)
574:
575: /* predicates */
576: #define NUM(p) (OID(p)==O_N)
577: #define RAT(p) (OID(p)==O_R)
578: #define INT(q) (!DN((Q)q))
579: #define RATN(a) (NID(a)==N_Q)
580: #define REAL(a) (NID(a)==N_R)
581: #define SFF(a) (NID(a)==N_M)
582: #define UNIQ(q) ((q)&&NUM(q)&&RATN(q)&&(SGN((Q)q)==1)&&UNIN(NM((Q)q))&&(!DN((Q)q)))
583: #define UNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==1))
584: #define MUNIQ(q) ((q)&&NUM(q)&&RATN(q)&&(SGN((Q)q)==-1)&&UNIN(NM((Q)q))&&(!DN((Q)q)))
585: #define MUNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==-1))
586: #define UNIN(n) ((n)&&(PL(n)==1)&&(BD(n)[0]==1))
587: #define EVENN(n) ((!(n))||(!(BD(n)[0]%2)))
588:
589:
590: /* externals */
591: #if 0
592: double NatToReal();
593: double RatnToReal();
594: #endif
595:
596: extern struct oR oUNIR;
597: extern struct oQ oUNIQ;
598: extern struct oMQ oUNIMQ;
599: extern struct oN oUNIN;
600: extern struct oUP2 oONEUP2;
601: extern struct oV oVAR[];
602: extern struct oV oPVAR[];
603: extern struct oVL oVLIST[];
604: extern struct oVL oPVLIST[];
605: extern VL CO,ALG;
606: extern VL PVL;
607: extern R ONER;
608: extern Q ONE;
609: extern MQ ONEM;
610: extern LM ONELM;
611: extern N ONEN;
612: extern UP2 ONEUP2;
613:
614: extern FILE *asir_out;
615: #if defined(__GNUC__) || defined(THINK_C)
616: extern const int sprime[];
617: extern const int lprime[];
618: #else
619: extern int sprime[];
620: extern int lprime[];
621: #endif
622:
623: extern void (*addnumt[])();
624: extern void (*subnumt[])();
625: extern void (*mulnumt[])();
626: extern void (*divnumt[])();
627: extern void (*pwrnumt[])();
628: extern int (*cmpnumt[])();
629: extern void (*chsgnnumt[])();
630:
631: /* prototypes */
632: int compui(VL,USINT,USINT);
633:
634: void powermodup(UP,UP *);
635: void hybrid_powermodup(UP,UP *);
636:
637: void powertabup(UP,UP,UP *);
638: void hybrid_powertabup(UP,UP,UP *);
639:
640: void generic_powermodup(UP,UP,Q,UP *);
641: void hybrid_generic_powermodup(UP,UP,Q,UP *);
642:
643: void powermod1up(UP,UP *);
644: void hybrid_rembymulup_special(int,UP,UP,UP,UP *);
645: void hybrid_tmulup(int,UP,UP,int,UP *);
646: void hybrid_squareup(int,UP,UP *);
647: void hybrid_mulup(int,UP,UP,UP *);
648:
649: void getmod_lm(N *);
650:
651: int maxblenup(UP);
652: void monicup(UP,UP *);
653: void simpup(UP,UP *);
654: void simpnum(Num,Num *);
655: void decompp(P,Q,P *,P *);
656: void truncp(P,Q,P *);
657: void uremp(P,P,P *);
658: void ugcdp(P,P,P *);
659: void reversep(P,Q,P *);
660: void invmodp(P,Q,P *);
661: void addup(UP,UP,UP *);
662: void subup(UP,UP,UP *);
663: void chsgnup(UP,UP *);
664: void mulup(UP,UP,UP *);
665: void tmulup(UP,UP,int,UP *);
666: void squareup(UP,UP *);
667: void remup(UP,UP,UP *);
668: void remup_destructive(UP,UP);
669: void qrup(UP,UP,UP *,UP *);
670: void qrup_destructive(UP,UP);
671: void gcdup(UP,UP,UP *);
672: void reverseup(UP,int,UP *);
673: void invmodup(UP,int,UP *);
674: void pwrup(UP,Q,UP *);
675: void squarep_gf2n(VL,P,P *);
676: void kmulp(VL,P,P,P *);
677: void ksquarep(VL,P,P *);
678: void kmulup(UP,UP,UP *);
679: void ksquareup(UP,UP *);
680: void extractup(UP,int,int,UP *);
681: void copyup(UP,UP);
682: void c_copyup(UP,int,pointer *);
683: void kmulupmain(UP,UP,UP *);
684: void ksquareupmain(UP,UP *);
685: void rembymulup(UP,UP,UP *);
686: void rembymulup_special(UP,UP,UP,UP *);
687: void tkmulup(UP,UP,int,UP *);
688: void shiftup(UP,int,UP *);
689: void set_degreeup(UP,int);
690: void decompup(UP,int,UP *,UP *);
691: void truncup(UP,int,UP *);
692: void uptofmarray(int,UP,ModNum *);
693: void fmarraytoup(ModNum *,int,UP *);
694: void uiarraytoup(unsigned int **,int,int,UP *);
695: void adj_coefup(UP,N,N,UP *);
696: void uptolmup(UP,UP *);
697: void remcup(UP,N,UP *);
698: void fft_mulup(UP,UP,UP *);
699: void fft_squareup(UP,UP *);
700: void trunc_fft_mulup(UP,UP,int,UP *);
701: void shoup_fft_mulup(UP,UP,UP *);
702: void shoup_fft_squareup(UP,UP *);
703: void shoup_trunc_fft_mulup(UP,UP,int,UP *);
704: void crup(ModNum **,int,int *,int,N,UP *);
705: void shoup_crup(ModNum **,int,int *,int,N,N,UP *);
706: void squareup_gf2n(UP,UP *);
707: void powermodup_gf2n(UP,UP *);
708: void generic_powermodup_gf2n(UP,UP,Q,UP *);
709: void tracemodup_gf2n(UP,UP,Q,UP *);
710: void tracemodup_gf2n_slow(UP,UP,Q,UP *);
711: void tracemodup_gf2n_tab(UP,UP,Q,UP *);
712: void square_rem_tab_up_gf2n(UP,UP *,UP *);
713: void powertabup_gf2n(UP,UP,UP *);
714: void find_root_gf2n(UP,GF2N *);
715:
716: int cmpdl_matrix(int,DL,DL);
717: int cmpdl_order_pair(int,DL,DL);
718: int cmpdl_elim(int,DL,DL);
719: int cmpdl_blexrev(int,DL,DL);
720: int cmpdl_bgradrev(int,DL,DL);
721: int cmpdl_brevrev(int,DL,DL);
722: int cmpdl_brevgradlex(int,DL,DL);
723: int cmpdl_bgradlex(int,DL,DL);
724: int cmpdl_blex(int,DL,DL);
725: int cmpdl_revgradlex(int,DL,DL);
726: int cmpdl_gradlex(int,DL,DL);
727: int cmpdl_revlex(int,DL,DL);
728: int cmpdl_lex(int,DL,DL);
729: int compd(VL,DP,DP);
730: void adddl(int,DL,DL,DL *);
731: void divsdc(VL,DP,P,DP *);
732: void muldc(VL,DP,P,DP *);
733: void muldm(VL,DP,MP,DP *);
734: void muld(VL,DP,DP,DP *);
735: void chsgnd(DP,DP *);
736: void subd(VL,DP,DP,DP *);
737: void addd(VL,DP,DP,DP *);
738: int sugard(MP);
739: void nodetod(NODE,DP *);
740: void dtop(VL,VL,DP,P *);
741: void ptod(VL,VL,P,DP *);
742: void initd(struct order_spec *);
743:
744: void _printdp(DP);
745: void _dp_sp_mod(DP,DP,int,DP *);
746: void _dp_mod(DP,int,NODE,DP *);
747: void _dp_red_mod(DP,DP,int,DP *);
748: void _dtop_mod(VL,VL,DP,P *);
749: void _mulmdm(VL,int,DP,MP,DP *);
750: void _mulmd(VL,int,DP,DP,DP *);
751: void _chsgnmd(int,DP,DP *);
752: void _submd(VL,int,DP,DP,DP *);
753: void _addmd(VL,int,DP,DP,DP *);
754: void _mdtop(VL,int,VL,DP,P *);
755: void divsmdc(VL,int,DP,P,DP *);
756: void mulmdc(VL,int,DP,P,DP *);
757: void mulmdm(VL,int,DP,MP,DP *);
758: void mulmd(VL,int,DP,DP,DP *);
759: void chsgnmd(int,DP,DP *);
760: void submd(VL,int,DP,DP,DP *);
761: void addmd(VL,int,DP,DP,DP *);
762: void mdtop(VL,int,VL,DP,P *);
763: void mptomd(VL,int,VL,P,DP *);
764: void ptomd(VL,int,VL,P,DP *);
765: int p_mag(P);
766: int n_bits(N);
767: void gcdBinary_27n(N,N,N *);
768: void rtime_init(void);
769: void setmod_gf2n(P);
770: void mt_sgenrand(unsigned long);
771: unsigned long mt_genrand(void);
772: #if defined(VISUAL)
773: void srandom(unsigned int);
774: unsigned int random(void);
775: #endif
776: void gcdbmodn(N,N,N *);
777: void gcdbinn(N,N,N *);
778: void gcdmodn(N,N,N *);
779: void gcdaccn(N,N,N *);
780: void gcdEuclidn(N,N,N *);
781: void GC_free(void *);
782: void FFT_primes(int,int *,int *,int *);
783: int FFT_pol_product(unsigned int,unsigned int *, unsigned int,unsigned int *,
784: unsigned int *,int,unsigned int *);
785: int FFT_pol_square(unsigned int,unsigned int *,
786: unsigned int *,int,unsigned int *);
787: void dcptolist(DCP,LIST *);
788: void gcdprsmp(VL,int,P,P,P *);
789: void mult_mod_tab(UM,int,UM *,UM,int);
790: int nfctr_mod(UM,int);
791: int irred_check(UM,int);
792: void modfctrp(P,int,int,DCP *);
793: void pf_init(void);
794: void binaryton(char *,N *);
795: void hexton(char *,N *);
796: void ptolmp(P,P *);
797: void lmptop(P,P *);
798: void ulmptoum(int,UP,UM);
799: void objtobobj(int,Obj,Obj *);
800: void bobjtoobj(int,Obj,Obj *);
801: void numtobnum(int,Num,Num *);
802: void bnumtonum(int,Num,Num *);
803: void ptobp(int,P,P *);
804: void bptop(int,P,P *);
805: void listtoblist(int,LIST,LIST *);
806: void blisttolist(int,LIST,LIST *);
807: void vecttobvect(int,VECT,VECT *);
808: void bvecttovect(int,VECT,VECT *);
809: void mattobmat(int,MAT,MAT *);
810: void bmattomat(int,MAT,MAT *);
811: void n32ton27(N,N *);
812: void n27ton32(N,N *);
813: void kmulum(int,UM,UM,UM);
814: void saveobj(FILE *,Obj);
815: void endian_init(void);
816: void write_char(FILE *,unsigned char *);
817: void write_short(FILE *,unsigned short *);
818: void write_int(FILE *,unsigned int *);
819: void write_double(FILE *,double *);
820: void write_intarray(FILE *,unsigned int *,int);
821: void write_string(FILE *,unsigned char *,int);
822: void savestr(FILE *,char *);
823: void loadstr(FILE *,char **);
824: void savevl(FILE *,VL);
825: void loadvl(FILE *);
826: void skipvl(FILE *);
827: void savev(FILE *,V);
828: void loadv(FILE *,V *);
829: int save_convv(V);
830: V load_convv(int);
831: void swap_bytes(char *,int,int);
832: void read_char(FILE *,unsigned char *);
833: void read_short(FILE *,unsigned short *);
834: void read_int(FILE *,unsigned int *);
835: void read_double(FILE *,double *);
836: void read_intarray(FILE *,unsigned int *,int);
837: void read_string(FILE *,unsigned char *,int);
838: void loadobj(FILE *,Obj *);
839: void invum(int,UM,UM,UM);
840: void addarray_to(unsigned int *,int,unsigned int *,int);
841: void muln_1(unsigned int *,int,unsigned int,unsigned int *);
842: unsigned int divn_1(unsigned int *,int,unsigned int,unsigned int *);
843: void ptoup(P,UP *);
844: void uptop(UP,P *);
845: void printnum(Num);
846: void printv(VL,V);
847: void kmulq(Q,Q,Q *);
848: void bshiftn(N,int,N *);
849: void remn(N,N,N*);
850: void simplm(LM,LM *);
851: void qtolm(Q,LM *);
852: int qpcheck(Obj);
853: int headsgn(P);
854: void adjsgn(P,DCP);
855: void setmod_g2n(P);
856: void simpgf2n(GF2N,GF2N *);
857: void ptogf2n(Obj,GF2N *);
858: void gf2ntop(GF2N,P *);
859: void gf2ntovect(GF2N,VECT *);
860: void squaregf2n(GF2N,GF2N *);
861: void randomgf2n(GF2N *);
862: void invgf2n(GF2N,GF2N *);
863: void kmuln(N,N,N *);
864: void extractn(N,int,int,N *);
865: void copyn(N,int,int *);
866: void kmulnmain(N,N,N *);
867: int qcoefp(Obj);
868: int qcoefr(Obj);
869: int get_allocwords(void);
870: double get_clock(void);
871: void get_eg(struct oEGT *);
872: void printtime(struct oEGT *,struct oEGT *,double);
873: void init_eg(struct oEGT *);
874: void add_eg(struct oEGT *,struct oEGT *,struct oEGT *);
875: void print_eg(char *,struct oEGT *);
876: void print_split_eg(struct oEGT *,struct oEGT *);
877: void print_split_e(struct oEGT *,struct oEGT *);
878: void suspend_timer(void);
879: void resume_timer(void);
880: void reset_engine(void);
881: void notdef(VL,Obj,Obj,Obj *);
882: void error(char *);
883: void ptoup2(P,UP2 *);
884: void ptoup2_sparse(P,UP2 *);
885: void up2top(UP2,P *);
886: void up2tovect(UP2,VECT *);
887: void up2ton(UP2,Q *);
888: void ntoup2(Q,UP2 *);
889: void gen_simpup2(UP2,GEN_UP2,UP2 *);
890: void gen_simpup2_destructive(UP2,GEN_UP2);
891: void gen_invup2(UP2,GEN_UP2,UP2 *);
892: void gen_pwrmodup2(UP2,Q,GEN_UP2,UP2 *);
893: void simpup2(UP2,UP2,UP2 *);
894: int degup2(UP2);
895: int degup2_sparse(UP2);
896: int degup2_1(unsigned int);
897: void addup2(UP2,UP2,UP2 *);
898: void subup2(UP2,UP2,UP2 *);
899: void mulup2_n1(unsigned int *,int,unsigned int,unsigned int *);
900: void mulup2_nh(unsigned int *,int,unsigned int,unsigned int *);
901: void _mulup2_1(UP2,unsigned int,UP2);
902: void _mulup2_h(UP2,unsigned int,UP2);
903: void mulup2(UP2,UP2,UP2 *);
904: void _kmulup2_(unsigned int *,unsigned int *,int,unsigned int *);
905: void _mulup2_nn(unsigned int *,unsigned int *,int,unsigned int *);
906: void _mulup2(UP2,UP2,UP2);
907: void _mulup2_(_UP2,_UP2,_UP2);
908: void squareup2(UP2,UP2 *);
909: void _adjup2(UP2);
910: void _adjup2_(_UP2);
911: void _addup2(UP2,UP2,UP2);
912: void _addup2_destructive(UP2,UP2);
913: void _addup2_(_UP2,_UP2,_UP2);
914: void _addtoup2_(_UP2,_UP2);
915: unsigned int mulup2_bb(unsigned int,unsigned int);
916: void init_up2_tab(void);
917: unsigned int quoup2_11(unsigned int,unsigned int);
918: void divup2_1(unsigned int,unsigned int,int,int,unsigned int *,unsigned int *);
919: void qrup2(UP2,UP2,UP2 *,UP2 *);
920: void _qrup2(UP2,UP2,UP2,UP2);
921: void remup2(UP2,UP2,UP2 *);
922: void _remup2(UP2,UP2,UP2);
923: void remup2_sparse(UP2,UP2,UP2 *);
924: void remup2_sparse_destructive(UP2,UP2);
925: void remup2_type1_destructive(UP2,int);
926: void remup2_3_destructive(UP2,UP2);
927: void remup2_5_destructive(UP2,UP2);
928: void _invup2_1(unsigned int,unsigned int,unsigned int *,unsigned int *);
929: void _gcdup2_1(unsigned int,unsigned int,unsigned int *);
930: void up2_init_eg(void);
931: void up2_show_eg(void);
932: void invup2(UP2,UP2,UP2 *);
933: void gcdup2(UP2,UP2,UP2 *);
934: void chsgnup2(UP2,UP2 *);
935: void pwrmodup2(UP2,Q,UP2,UP2 *);
936: void pwrmodup2_sparse(UP2,Q,UP2,UP2 *);
937: int compup2(UP2,UP2);
938: void printup2(UP2);
939: void _copyup2(UP2,UP2);
940: void _bshiftup2(UP2,int,UP2);
941: void _bshiftup2_destructive(UP2,int);
942: void diffup2(UP2,UP2 *);
943: int sqfrcheckup2(UP2);
944: int irredcheckup2(UP2);
945: int irredcheck_dddup2(UP2);
946: void _copy_up2bits(UP2,unsigned int **,int);
947: void _print_frobmat(unsigned int **,int,int);
948: int compute_multiplication_matrix(P,GF2MAT *);
949: void compute_change_of_basis_matrix(P,P,int,GF2MAT *,GF2MAT *);
950: int compute_representation_conversion_matrix(P,GF2MAT *,GF2MAT *);
951: void mul_nb(GF2MAT,unsigned int *,unsigned int *,unsigned int *);
952: void leftshift(unsigned int *,int);
953: void mat_to_gf2mat(MAT,unsigned int ***);
954: void gf2mat_to_mat(unsigned int **,int,MAT *);
955: void mulgf2mat(int,unsigned int **,unsigned int **,unsigned int **);
956: void mulgf2vectmat(int,unsigned int *,unsigned int **,unsigned int *);
957: int mulgf2vectvect(int,unsigned int *,unsigned int *);
958: int invgf2mat(int,unsigned int **,unsigned int **);
959: void _mulup2_11(unsigned int,unsigned int,unsigned int *);
960: void _mulup2_22(unsigned int *,unsigned int *,unsigned int *);
961: void _mulup2_33(unsigned int *,unsigned int *,unsigned int *);
962: void _mulup2_44(unsigned int *,unsigned int *,unsigned int *);
963: void _mulup2_55(unsigned int *,unsigned int *,unsigned int *);
964: void _mulup2_66(unsigned int *,unsigned int *,unsigned int *);
965: void printup2_(unsigned int *,int);
966: void type1_bin_invup2(UP2,int,UP2 *);
967: int int_bits(int);
968:
969:
970: LUM LUMALLOC(int, int);
971: Obj ToAlg(Num);
972: UM *berlemain(register int, UM, UM *);
973: void *Risa_GC_malloc(size_t);
974: void *Risa_GC_malloc_atomic(size_t);
975: void *Risa_GC_realloc(void *,size_t);
976: void *GC_malloc(size_t);
977: void *GC_malloc_atomic(size_t);
978: void *GC_realloc(void *,size_t);
979: double NatToReal(N,int *);
980: double RatnToReal(Q);
981: double pwrreal0(double,int);
982: int **almat(int,int);
983: pointer **almat_pointer(int,int);
984: int berlecnt(register int,UM);
985: int berlecntmain(register int,int,int,register int **);
986: int cmpalg(Num,Num);
987: int cmpbf(Num,Num);
988: int cmpcplx(Num,Num);
989: int cmpn(N,N);
990: int cmpq(Q,Q);
991: int cmpreal(Real,Real);
992: int cmpmi(MQ,MQ);
993: int cmplm(LM,LM);
994: int compmat(VL,MAT,MAT);
995: int compnum(VL,Num,Num);
996: int compp(VL,P,P);
997: int compr(VL,Obj,Obj);
998: int compstr(VL,STRING,STRING);
999: int compvect(VL,VECT,VECT);
1000: int ctest(P,ML,int,int *);
1001: int cycchk(P);
1002: int dbound(V,P);
1003: int dcomp(P,P);
1004: int deg(V,P);
1005: int degtest(int,int *,ML,int);
1006: int divcheck(VL,P *,int,P,P);
1007: unsigned int divin(N,unsigned int,N *);
1008: int divtdcpz(VL,P,P,P *);
1009: int divtpz(VL,P,P,P *);
1010: int divum(register int,UM,UM,UM);
1011: int dm(int,int,int *);
1012: int dmb(int,int,int,int *);
1013: int dma(int,int,int,int *);
1014: int dmab(int,int,int,int,int *);
1015: int dmar(int,int,int,int);
1016: int dtestmain(P,Q,ML,int,int *,P *,P *);
1017: int geldb(VL,P);
1018: int getchomdeg(V,P);
1019: int getdeg(V,P);
1020: int getlchomdeg(V,P,int *);
1021: int homdeg(P);
1022: unsigned int invm(unsigned int,int);
1023: int iscycm(P);
1024: int iscycp(P);
1025: int lengthp(P);
1026: int mig(int,int,P);
1027: int mignotte(int,P);
1028: int minimain(register int,int,int,register int **);
1029: int ncombi(int,int,int,int *);
1030: int nextbin(VN,int);
1031: int nmonop(P);
1032: int pcoef(VL,VL,P,P *);
1033: int pcoef0(VL,VL,P,P *);
1034: unsigned int pwrm(register int,register int,int);
1035: unsigned int rem(N,unsigned int);
1036: int sqfrchk(P);
1037: int subn(N,N,N *);
1038: int ucmpp(P,P);
1039: int valideval(VL,DCP,VN);
1040: int zerovpchk(VL,P,VN);
1041:
1042: void addgf2n(GF2N,GF2N,GF2N *);
1043: void subgf2n(GF2N,GF2N,GF2N *);
1044: void mulgf2n(GF2N,GF2N,GF2N *);
1045: void divgf2n(GF2N,GF2N,GF2N *);
1046: void chsgngf2n(GF2N,GF2N *);
1047: void pwrgf2n(GF2N,Q, GF2N *);
1048: int cmpgf2n(GF2N,GF2N);
1049:
1050: void addgfpn(GFPN,GFPN,GFPN *);
1051: void subgfpn(GFPN,GFPN,GFPN *);
1052: void mulgfpn(GFPN,GFPN,GFPN *);
1053: void divgfpn(GFPN,GFPN,GFPN *);
1054: void chsgngfpn(GFPN,GFPN *);
1055: void pwrgfpn(GFPN,Q, GFPN *);
1056: int cmpgfpn(GFPN,GFPN);
1057:
1058: void addalg(Num,Num,Num *);
1059: void addbf(Num,Num,Num *);
1060: void addcplx(Num,Num,Num *);
1061: void addm2p(VL,Q,Q,P,P,P *);
1062: void addm2q(Q,Q,Q,Q,Q *);
1063: void addmat(VL,MAT,MAT,MAT *);
1064: void addmp(VL,int,P,P,P *);
1065: void addmpq(int,P,P,P *);
1066: void addmptoc(VL,int,P,P,P *);
1067: void addmq(int,MQ,MQ,MQ *);
1068: void addn(N,N,N *);
1069: void addnum(VL,Num,Num,Num *);
1070: void addp(VL,P,P,P *);
1071: void addpadic(int,int,unsigned int *,unsigned int *);
1072: void addpq(P,P,P *);
1073: void addptoc(VL,P,P,P *);
1074: void addq(Q,Q,Q *);
1075: void addr(VL,Obj,Obj,Obj *);
1076: void addreal(Num,Num,Real *);
1077: void addmi(MQ,MQ,MQ *);
1078: void addlm(LM,LM,LM *);
1079: void addstr(VL,STRING,STRING,STRING *);
1080: void addum(int,UM,UM,UM);
1081: void addvect(VL,VECT,VECT,VECT *);
1082: void adjc(VL,P,P,P,Q,P *,P *);
1083: void afctr(VL,P,P,DCP *);
1084: void afctrmain(VL,P,P,int,DCP *);
1085: void affine(VL,P,VN,P *);
1086: void affinemain(VL,P,V,int,P *,P *);
1087: void berle(int,int,P,ML *);
1088: void bnton(register int,N,N *);
1089: void cbound(VL,P,Q *);
1090: void chnrem(int,V,P,Q,UM,P *,Q *);
1091: void chnremp(VL,int,P,Q,P,P *);
1092: void chsgnalg(Num,Num *);
1093: void chsgnbf(Num a,Num *);
1094: void chsgncplx(Num,Num *);
1095: void chsgnmat(MAT,MAT *);
1096: void chsgnmp(int,P,P *);
1097: void chsgnnum(Num,Num *);
1098: void chsgnp(P,P *);
1099: void chsgnq(Q,Q *);
1100: void chsgnr(Obj,Obj *);
1101: void chsgnreal(Num,Num *);
1102: void chsgnmi(MQ,MQ *);
1103: void chsgnlm(LM,LM *);
1104: void chsgnvect(VECT,VECT *);
1105: void clctv(VL,P,VL *);
1106: void clctvr(VL,Obj,VL *);
1107: void cm2p(Q,Q,P,P *);
1108: void cmax(P,Q *);
1109: void cmp(Q,P,P *);
1110: void coefp(P,int,P *);
1111: void cpylum(int,LUM,LUM);
1112: void cpyum(UM,UM);
1113: void csump(VL,P,Q *);
1114: void cycm(V,register int,DCP *);
1115: void cycp(V,register int,DCP *);
1116: void degp(V,P,Q *);
1117: void degum(UM,int);
1118: void detmp(VL,int,P **,int,P *);
1119: void detp(VL,P **,int,P *);
1120: void diffp(VL,P,V,P *);
1121: void diffum(register int,UM,UM);
1122: void divalg(Num,Num,Num *);
1123: void divbf(Num,Num,Num *);
1124: void divcp(P,Q,P *);
1125: void divcplx(Num,Num,Num *);
1126: void divmat(VL,Obj,Obj,Obj *);
1127: void divmq(int,MQ,MQ,MQ *);
1128: void divn(N,N,N *,N *);
1129: void divnmain(int,int,unsigned int *,unsigned int *,unsigned int *);
1130: void divnum(VL,Num,Num,Num *);
1131: void divq(Q,Q,Q *);
1132: void divr(VL,Obj,Obj,Obj *);
1133: void divreal(Num,Num,Real *);
1134: void divmi(MQ,MQ,MQ *);
1135: void divlm(LM,LM,LM *);
1136: void divsdcmp(VL,int,P,P,P *);
1137: void divsdcp(VL,P,P,P *);
1138: void divsmp(VL,int,P,P,P *);
1139: void divsn(N,N,N *);
1140: void divsp(VL,P,P,P *);
1141: void divsrdcmp(VL,int,P,P,P *,P *);
1142: void divsrdcp(VL,P,P,P *,P *);
1143: void divsrmp(VL,int,P,P,P *,P *);
1144: void divsrp(VL,P,P,P *,P *);
1145: void divvect(VL,Obj,Obj,Obj *);
1146: void dtest(P,ML,int,DCP *);
1147: void dtestroot(int,int,P,LUM,struct oDUM *,DCP *);
1148: void dtestroot1(int,int,P,LUM,P *);
1149: void dtestsq(int,int,P,LUM,P *);
1150: void dtestsql(P,ML,struct oDUM *,DCP *);
1151: void estimatelc(VL,Q,DCP,VN,P *);
1152: void eucum(register int,UM,UM,UM,UM);
1153: void exthp(VL,P,int,P *);
1154: void exthpc(VL,V,P,int,P *);
1155: void ezgcd1p(VL,P,P,P *);
1156: void ezgcdhensel(P,int,UM,UM,ML *);
1157: void ezgcdnp(VL,P,P *,int,P *);
1158: void ezgcdnpp(VL,DCP,P *,int,P *);
1159: void ezgcdnpz(VL,P *,int,P *);
1160: void ezgcdp(VL,P,P,P *);
1161: void ezgcdpp(VL,DCP,P,P *);
1162: void ezgcdpz(VL,P,P,P *);
1163: void factorial(int,Q *);
1164: void fctrp(VL,P,DCP *);
1165: void fctrwithmvp(VL,P,V,DCP *);
1166: void gcda(VL,P,P,P,P *);
1167: void gcdcp(VL,P,P *);
1168: void gcdgen(P,ML,ML *);
1169: void gcdmonomial(VL,DCP *,int,P *);
1170: void gcdn(N,N,N *);
1171: void gcdprsp(VL,P,P,P *);
1172: void gcdum(register int,UM,UM,UM);
1173: void getmindeg(V,P,Q *);
1174: void henmain(LUM,ML,ML,ML *);
1175: void henmv(VL,VN,P,P,P,P,P,P,P,P,P,Q,int,P *,P *);
1176: void henmvmain(VL,VN,P,P,P,P,P,P,P,Q,Q,int,P *,P *);
1177: void henprep(P,ML,ML,ML *,ML *);
1178: void hensel(int,int,P,ML *);
1179: void henzq(P,P,UM,P,UM,int,int,P *,P *,P *,P *,Q *);
1180: void henzq1(P,P,Q,P *,P *,Q *);
1181: void hsq(int,int,P,int *,DCP *);
1182: void intersectv(VL,VL,VL *);
1183: void invl(Q,Q,Q *);
1184: void invmq(int,MQ,MQ *);
1185: void invq(Q,Q *);
1186: void lgp(P,N *,N *);
1187: void lumtop(V,int,int,LUM,P *);
1188: void markv(VN,int,P);
1189: void maxdegp(VL,P,VL *,P *);
1190: void mergev(VL,VL,VL,VL *);
1191: void mfctr(VL,P,DCP *);
1192: void mfctrhen2(VL,VN,P,P,P,P,P,P,P *);
1193: void mfctrmain(VL,P,DCP *);
1194: void mfctrwithmv(VL,P,V,DCP *);
1195: void min_common_vars_in_coefp(VL,P,VL *,P *);
1196: void minchdegp(VL,P,VL *,P *);
1197: void mindegp(VL,P,VL *,P *);
1198: void mini(register int,UM,UM);
1199: void minlcdegp(VL,P,VL *,P *);
1200: void mkbc(int,Q *);
1201: void mkbcm(int,int,MQ *);
1202: void mkssum(V,int,int,int,P *);
1203: void monomialfctr(VL,P,P *,DCP *);
1204: void mptop(P,P *);
1205: void mptoum(P,UM);
1206: void msqfr(VL,P,DCP *);
1207: void msqfrmain(VL,P,DCP *);
1208: void msqfrmainmain(VL,P,VN,P,DCP,DCP *,P *);
1209: void mulalg(Num,Num,Num *);
1210: void mulbf(Num,Num,Num *);
1211: void mulcplx(Num,Num,Num *);
1212: void mulin(N,unsigned int,unsigned int *);
1213: void mullum(int,int,LUM,LUM,LUM);
1214: void mullumarray(P,ML,int,int *,P *);
1215: void mulm2p(VL,Q,Q,P,P,P *);
1216: void mulm2q(Q,Q,Q,Q,Q *);
1217: void mulmat(VL,Obj,Obj,Obj *);
1218: void mulmatmat(VL,MAT,MAT,MAT *);
1219: void mulmatvect(VL,MAT,VECT,VECT *);
1220: void mulmp(VL,int,P,P,P *);
1221: void mulmpc(VL,int,P,P,P *);
1222: void mulmpq(int,P,P,P *);
1223: void mulmq(int,MQ,MQ,MQ *);
1224: void muln(N,N,N *);
1225: void mulnum(VL,Num,Num,Num *);
1226: void mulp(VL,P,P,P *);
1227: void mulpadic(int,int,unsigned int *,unsigned int *,unsigned int *);
1228: void mulpc(VL,P,P,P *);
1229: void mulpq(P,P,P *);
1230: void mulq(Q,Q,Q *);
1231: void mulr(VL,Obj,Obj,Obj *);
1232: void mulreal(Num,Num,Real *);
1233: void mulmi(MQ,MQ,MQ *);
1234: void mullm(LM,LM,LM *);
1235: void mulrmat(VL,Obj,MAT,MAT *);
1236: void mulrvect(VL,Obj,VECT,VECT *);
1237: void mulsgn(VN,VN,int,VN);
1238: void mulsum(register int,UM,register int,UM);
1239: void mulum(register int,UM,UM,UM);
1240: void mulvect(VL,Obj,Obj,Obj *);
1241: void mulvectmat(VL,VECT,MAT,VECT *);
1242: void next(VN);
1243: void nezgcdnp_sqfr_primitive(VL,P,P *,int,P *);
1244: void nezgcdnpp(VL,DCP,P *,int,P *);
1245: void nezgcdnpz(VL,P *,int,P *);
1246: void nezgcdnpzmain(VL,P *,int,P *);
1247: void nglob_init(void);
1248: void norm(P,Q *);
1249: void norm1(P,P *);
1250: void norm1c(P,Q *);
1251: void normalizemp(int,P);
1252: void nthrootchk(P,struct oDUM *,ML,DCP *);
1253: void nthrootn(N,int,N *);
1254: void ntobn(register int,N,N *);
1255: void nuezgcdnpzmain(VL,P *,int,P *);
1256: void padictoq(int,int,int *,Q *);
1257: void risa_pari_init(void);
1258: void pcp(VL,P,P *,P *);
1259: void pderivr(VL,Obj,V,Obj *);
1260: void pdiva(VL,P,P,P,P *);
1261: void pinva(P,P,P *);
1262: void plisttop(P *,V,int,P *);
1263: void pmonic(VL,P,P,P *);
1264: void pqra(VL,P,P,P,P *,P *);
1265: void premmp(VL,int,P,P,P *);
1266: void premp(VL,P,P,P *);
1267: void ptolum(int,int,P,LUM);
1268: void ptomp(int,P,P *);
1269: void ptoum(int,P,UM);
1270: void ptozp(P,int,Q *,P *);
1271: void ptozp0(P,P *);
1272: void pwralg(Num,Num,Num *);
1273: void pwrbf(Num,Num,Num *);
1274: void pwrcplx(Num,Num,Num *);
1275: void pwrcplx0(Num,int,Num *);
1276: void pwrlum(int,int,LUM,int,LUM);
1277: void pwrmat(VL,MAT,Obj,MAT *);
1278: void pwrmatmain(VL,MAT,int,MAT *);
1279: void pwrmp(VL,int,P,Q,P *);
1280: void pwrmq(int,MQ,Q,MQ *);
1281: void pwrn(N,int,N *);
1282: void pwrnum(VL,Num,Num,Num *);
1283: void pwrp(VL,P,Q,P *);
1284: void pwrq(Q,Q,Q *);
1285: void pwrr(VL,Obj,Obj,Obj *);
1286: void pwrreal(Num,Num,Real *);
1287: void pwrmi(MQ,Q,MQ *);
1288: void pwrlm(LM,Q,LM *);
1289: void pwrum(int,UM,int,UM);
1290: void reallocarray(char **,int *,int *,int);
1291: void reductr(VL,Obj,Obj *);
1292: void reimtocplx(Num,Num,Num *);
1293: void rem2q(Q,Q,Q,Q *);
1294: void rema(VL,P,P,P,P *);
1295: void remq(Q,Q,Q *);
1296: void remsdcp(VL,P,P,P *);
1297: void reordermp(VL,int,VL,P,P *);
1298: void reorderp(VL,VL,P,P *);
1299: void reordvar(VL,V,VL *);
1300: void res_ch_det(VL,V,P,P,P *);
1301: void res_detmp(VL,int,V,P,P,P *);
1302: void restore(VL,P,VN,P *);
1303: void resultmp(VL,int,V,P,P,P *);
1304: void resultp(VL,V,P,P,P *);
1305: void setlum(int,int,LUM);
1306: void sort_by_deg(int,P *,P *);
1307: void sort_by_deg_rev(int,P *,P *);
1308: void sortfs(DCP *);
1309: void sortfsrev(DCP *);
1310: void sortplist(P *,int);
1311: void sortplistbyhomdeg(P *,int);
1312: void sprs(VL,V,P,P,P *);
1313: void sqa(VL,P,P,DCP *);
1314: void sqad(unsigned int,int);
1315: void sqfrp(VL,P,DCP *);
1316: void sqfrum(int,int,P,int *,struct oDUM **,ML *);
1317: void sqfrummain(int,UM,UM,struct oDUM **);
1318: void sqrtn(N,N *);
1319: void srch2(VL,V,P,P,P *);
1320: void srchmp(VL,int,V,P,P,P *);
1321: void srchump(int,P,P,P *);
1322: void srcr(VL,V,P,P,P *);
1323: void strtobf(char *,BF *);
1324: void subalg(Num,Num,Num *);
1325: void subbf(Num,Num,Num *);
1326: void subcplx(Num,Num,Num *);
1327: void subm2p(VL,Q,Q,P,P,P *);
1328: void subm2q(Q,Q,Q,Q,Q *);
1329: void submat(VL,MAT,MAT,MAT *);
1330: void submp(VL,int,P,P,P *);
1331: void submq(int,MQ,MQ,MQ *);
1332: void subnum(VL,Num,Num,Num *);
1333: void subp(VL,P,P,P *);
1334: void subq(Q,Q,Q *);
1335: void subr(VL,Obj,Obj,Obj *);
1336: void subreal(Num,Num,Real *);
1337: void submi(MQ,MQ,MQ *);
1338: void sublm(LM,LM,LM *);
1339: void substmp(VL,int,P,V,P,P *);
1340: void substp(VL,P,V,P,P *);
1341: void substvp(VL,P,VN,P *);
1342: void subum(int,UM,UM,UM);
1343: void subvect(VL,VECT,VECT,VECT *);
1344: void toreim(Num,Num *,Num *);
1345: void ucsump(P,Q *);
1346: void udivpwm(Q,P,P,P *,P *);
1347: void udivpz(P,P,P *,P *);
1348: void udivpzwm(Q,P,P,P *,P *);
1349: void uexgcdnp(VL,P,P *,int,VN,Q,P *,P *,P *,P *,Q *);
1350: void uezgcd1p(P,P,P *);
1351: void uezgcdpp(DCP,P,P *);
1352: void uezgcdpz(VL,P,P,P *);
1353: void ufctr(P,int,DCP *);
1354: void ufctrmain(P,int,DCP *);
1355: void umtomp(V,UM,P *);
1356: void umtop(V,UM,P *);
1357: void usqp(P,DCP *);
1358: void vntovl(VN,int,VL *);
1359:
1360: #if 0 && !defined(VISUAL)
1361: void bzero(const void *,int);
1362: void bcopy(const void *,void *,int);
1363: char *index(char *,int);
1364: #endif
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