Annotation of OpenXM_contrib2/asir2000/include/ca.h, Revision 1.32
1.4 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
1.5 noro 26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
1.4 noro 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: *
1.32 ! noro 48: * $OpenXM: OpenXM_contrib2/asir2000/include/ca.h,v 1.31 2001/12/21 08:23:12 noro Exp $
1.4 noro 49: */
1.1 noro 50: #include <stdio.h>
51:
52: #if defined(hpux)
53: #include <netinet/in.h>
54: # define setbuffer(FP,buf,siz) setvbuf(FP,buf,_IOFBF,siz)
55: #endif
56:
57: #if defined(VISUAL)
58: #include <stdlib.h>
59: #endif
60:
1.28 noro 61: #if !defined(VISUAL)
62: #include <sys/param.h>
63: #endif
64:
1.1 noro 65: #if defined(linux) || (defined(sun) && !defined(SYSV)) || defined(news5000) || (defined(mips) && defined(ultrix))
66: #include <alloca.h>
67: #endif
68:
69: #if (defined(sun) && defined(SYSV))
70: #define alloca(x) __builtin_alloca(x)
71: #endif
72:
73: #if defined(VISUAL)
74: #include <malloc.h>
75: #endif
76:
77: #if 0
78: #include <sys/types.h>
79: typedef caddr_t pointer;
80: #endif
81:
82: typedef void * pointer;
83:
84: #if defined(VISUAL)
85: #include <string.h>
86: #define index(s,c) strchr(s,c)
87: #define bzero(s,len) memset(s,0,len)
88: #define bcopy(x,y,len) memcpy(y,x,len)
89: #endif
90:
91: #define COPY(a,b) ((b)=(a))
92: #define FREEN(p)
93: #define FREEQ(p)
94: #define FREE(p)
95: #define INITRC(p)
96:
97: /* data structures */
98:
99: #define O_N 1
100: #define O_P 2
101: #define O_R 3
102: #define O_LIST 4
103: #define O_VECT 5
104: #define O_MAT 6
105: #define O_STR 7
106: #define O_COMP 8
107: #define O_DP 9
108: #define O_USINT 10
109: #define O_ERR 11
110: #define O_GF2MAT 12
111: #define O_MATHCAP 13
112: #define O_F 14
113: #define O_GFMMAT 15
1.6 noro 114: #define O_BYTEARRAY 16
1.13 noro 115: #define O_QUOTE 17
1.1 noro 116: #define O_VOID -1
117:
118: #define N_Q 0
119: #define N_R 1
120: #define N_A 2
121: #define N_B 3
122: #define N_C 4
123: #define N_M 5
124: #define N_LM 6
125: #define N_GF2N 7
126: #define N_GFPN 8
1.12 noro 127: #define N_GFS 9
1.21 noro 128: #define N_GFSN 10
1.1 noro 129:
130: #define ORD_REVGRADLEX 0
131: #define ORD_GRADLEX 1
132: #define ORD_LEX 2
133:
134: #if LONG_IS_32BIT
135: #if defined(VISUAL)
136: typedef _int64 L;
137: typedef unsigned _int64 UL;
138: #else
139: typedef long long L;
140: typedef unsigned long long UL;
141: #endif
142: #else
143: typedef long L;
144: typedef unsigned long UL;
145: #endif
146:
147: typedef struct oN {
148: int p;
149: unsigned int b[1];
150: } *N;
151:
152: typedef struct oUP2 {
153: int w;
154: unsigned int b[1];
155: } *UP2;
156:
157: typedef struct _oUP2 {
158: int w;
159: unsigned int *b;
160: } *_UP2;
161:
162: #define UP2_DENSE 0
163: #define UP2_SPARSE 1
164:
165: typedef struct oGEN_UP2 {
166: int id;
167: UP2 dense;
168: UP2 sparse;
169: } *GEN_UP2;
170:
171: typedef struct oV {
172: char *name;
173: pointer attr;
174: pointer priv;
175: } *V;
176:
177: typedef struct oQ {
178: short id;
179: char nid;
180: char sgn;
181: N nm;
182: N dn;
183: } *Q;
184:
185: typedef struct oReal {
186: short id;
187: char nid;
188: char pad;
189: double body;
190: } *Real;
191:
192: typedef struct oAlg {
193: short id;
194: char nid;
195: char pad;
196: struct oObj *body;
197: } *Alg;
198:
199: typedef struct oBF {
200: short id;
201: char nid;
202: char pad;
203: long body[1];
204: } *BF;
205:
206: typedef struct oC {
207: short id;
208: char nid;
209: char pad;
210: struct oNum *r,*i;
211: } *C;
212:
213: typedef struct oLM {
214: short id;
215: char nid;
216: char pad;
217: struct oN *body;
218: } *LM;
219:
220: typedef struct oGF2N {
221: short id;
222: char nid;
223: char pad;
224: struct oUP2 *body;
225: } *GF2N;
226:
227: typedef struct oGFPN {
228: short id;
229: char nid;
230: char pad;
231: struct oUP *body;
232: } *GFPN;
233:
234: typedef struct oNum {
235: short id;
236: char nid;
237: char pad;
238: } *Num;
239:
240: typedef struct oMQ {
241: short id;
242: char nid;
243: char pad;
244: int cont;
245: } *MQ;
246:
1.12 noro 247: typedef struct oGFS {
248: short id;
249: char nid;
250: char pad;
251: int cont;
252: } *GFS;
253:
1.21 noro 254: typedef struct oGFSN {
1.20 noro 255: short id;
256: char nid;
257: char pad;
258: struct oUM *body;
1.21 noro 259: } *GFSN;
1.12 noro 260:
1.1 noro 261: typedef struct oP {
262: short id;
263: short pad;
264: V v;
265: struct oDCP *dc;
266: } *P;
267:
268: typedef struct oR {
269: short id;
270: short reduced;
271: P nm;
272: P dn;
273: } *R;
274:
275: typedef struct oVECT {
276: short id;
277: short pad;
278: int len;
279: pointer *body;
280: } *VECT;
281:
282: typedef struct oMAT {
283: short id;
284: short pad;
285: int row,col;
286: pointer **body;
287: } *MAT;
288:
289: typedef struct oGF2MAT {
290: short id;
291: short pad;
292: int row,col;
293: unsigned int **body;
294: } *GF2MAT, *GFMMAT;
295:
296: typedef struct oLIST {
297: short id;
298: short pad;
299: struct oNODE *body;
300: } *LIST;
301:
302: typedef struct oSTRING {
303: short id;
304: short pad;
305: char *body;
306: } *STRING;
307:
308: typedef struct oCOMP {
309: short id;
310: short type;
311: struct oObj *member[1];
312: } *COMP;
313:
314: typedef struct oDP {
315: short id;
316: short nv;
317: int sugar;
318: struct oMP *body;
319: } *DP;
320:
321: typedef struct oUSINT {
322: short id;
323: short pad;
324: unsigned body;
325: } *USINT;
326:
327: typedef struct oERR {
328: short id;
329: short pad;
330: struct oObj *body;
331: } *ERR;
332:
333: typedef struct oMATHCAP {
334: short id;
335: short pad;
336: struct oLIST *body;
337: } *MATHCAP;
338:
1.6 noro 339: typedef struct oBYTEARRAY {
340: short id;
341: short pad;
342: int len;
343: unsigned char *body;
344: } *BYTEARRAY;
345:
1.13 noro 346: typedef struct oQUOTE {
347: short id;
348: short pad;
349: pointer body;
350: } *QUOTE;
351:
1.1 noro 352: typedef struct oObj {
353: short id;
354: short pad;
355: } *Obj;
356:
357: typedef struct oDCP {
358: Q d;
359: P c;
360: struct oDCP *next;
361: } *DCP;
362:
363: typedef struct oMP {
364: struct oDL *dl;
365: P c;
366: struct oMP *next;
367: } *MP;
368:
369: typedef struct oDL {
370: int td;
371: int d[1];
372: } *DL;
1.23 noro 373:
1.29 noro 374: struct dp_pairs {
375: int dp1, dp2;
376: DL lcm;
377: int sugar;
378: struct dp_pairs *next;
379: };
380:
381: typedef struct dp_pairs *DP_pairs;
382:
383: struct p_pair {
384: struct oUM *p0;
385: struct oUM *p1;
386: struct p_pair *next;
387: };
388:
389: struct oMF {
390: int m;
391: P f;
392: };
393:
1.23 noro 394: /*
395: * compressed DP
396: */
397:
398: typedef struct oCDP {
399: int len;
1.26 noro 400: int psindex;
1.27 noro 401: unsigned int *body;
1.23 noro 402: } *CDP;
403:
1.24 noro 404: typedef struct oCM {
1.23 noro 405: int index;
406: int c;
1.24 noro 407: } *CM;
1.1 noro 408:
1.25 noro 409: /* bucket list for DL */
410:
411: typedef struct oDLBUCKET {
412: int td;
413: struct oNODE *body;
414: struct oDLBUCKET *next;
415: } *DLBUCKET;
416:
1.1 noro 417: typedef struct oVL {
418: V v;
419: struct oVL *next;
420: } *VL;
421:
422: typedef struct oNODE {
423: pointer body;
424: struct oNODE *next;
425: } *NODE;
426:
1.16 noro 427: /* univariate poly over small finite field; dense */
1.1 noro 428: typedef struct oUM {
429: int d;
430: int c[1];
431: } *UM;
432:
1.16 noro 433: /* univariate poly with padic coeff */
1.1 noro 434: typedef struct oLUM {
435: int d;
436: int *c[1];
437: } *LUM;
438:
1.16 noro 439: /* bivariate poly over small finite field; dense */
440:
441: typedef struct oBM {
442: int d;
443: UM c[1];
444: } *BM;
445:
1.1 noro 446: typedef struct oML {
447: int n;
448: int mod;
449: int bound;
450: pointer c[1];
451: } *ML;
452:
453: typedef struct oUB {
454: int d;
455: N c[1];
456: } *UB;
457:
458: typedef struct oVN {
459: V v;
460: int n;
461: } *VN;
462:
463: typedef struct oUP {
464: int d;
465: Num c[1];
466: } *UP;
467:
468: typedef struct oDUM {
469: int n;
470: UM f;
471: } *DUM;
472:
473: struct order_pair {
474: int order, length;
475: };
476:
477: struct order_spec {
478: int id;
479: Obj obj;
480: int nv;
481: union {
482: int simple;
483: struct {
484: int length;
485: struct order_pair *order_pair;
486: } block;
487: struct {
488: int row;
489: int **matrix;
490: } matrix;
491: } ord;
492: };
493:
494: /* structure for cputime */
495:
496: struct oEGT {
497: double exectime,gctime;
498: };
499:
500: /* constant */
501:
502: /* ground finite field specification */
503: #define FF_NOT_SET 0
504: #define FF_GFP 1
505: #define FF_GF2N 2
506: #define FF_GFPN 3
1.12 noro 507: #define FF_GFS 4
1.21 noro 508: #define FF_GFSN 5
1.11 saito 509:
510: /* include interval.h */
511: #include "interval.h"
1.1 noro 512:
513: #define INDEX 100
514:
515: #if USE_FLOAT
516: typedef float ModNum;
517: #define NPrimes 536
518: #else
519: typedef unsigned int ModNum;
520: #define NPrimes 13681
521: #endif
522:
523: /* general macros */
1.28 noro 524: #if defined(MAX)
525: #undef MAX
526: #endif
527: #if defined(MIN)
528: #undef MIN
529: #endif
1.1 noro 530: #define MAX(a,b) ((a) > (b) ? (a) : (b) )
531: #define MIN(a,b) ((a) > (b) ? (b) : (a) )
532: #ifdef ABS
533: #undef ABS
534: #endif
535: #define ABS(a) ((a)>0?(a):-(a))
536: #define ID(p) ((p)->id)
537: #define OID(p) (((Obj)(p))->id)
538: #define NID(p) (((Num)(p))->nid)
539: #define BDY(p) ((p)->body)
540: #define VR(p) ((p)->v)
541: #define NAME(p) ((p)->name)
542: #define NEXT(p) ((p)->next)
543: #define NM(q) ((q)->nm)
544: #define DN(q) ((q)->dn)
545: #define SGN(q) ((q)->sgn)
546: #define DC(p) ((p)->dc)
547: #define COEF(p) ((p)->c)
548: #define DEG(p) ((p)->d)
549: #define PL(n) ((n)->p)
550: #define BD(n) ((n)->b)
551: #define CONT(a) ((a)->cont)
552: #define UDEG(f) BD(NM(DEG(DC(f))))[0]
553: #define UCOEF(f) (COEF(DC(f)))
554: #define LC(f) (NUM(f)?(f):COEF(DC(f)))
555:
556: /* memory allocators (W_... : uses alloca) */
557:
558: #if 0
559: #define MALLOC(d) Risa_GC_malloc(d)
560: #define MALLOC_ATOMIC(d) Risa_GC_malloc_atomic(d)
561: #define REALLOC(p,d) Risa_GC_realloc(p,d)
562: #else
563: #define MALLOC(d) GC_malloc(d)
564: #define MALLOC_ATOMIC(d) GC_malloc_atomic(d)
565: #define REALLOC(p,d) GC_realloc(p,d)
566: #endif
567: #define CALLOC(d,e) MALLOC((d)*(e))
568:
1.32 ! noro 569: #if !defined(__CYGWIN__) && (defined(__GNUC__) || defined(vax) || defined(apollo) || defined(alloca) || defined(VISUAL))
1.1 noro 570: #define ALLOCA(d) alloca(d)
571: #else
572: #define ALLOCA(d) MALLOC(d)
1.32 ! noro 573: #endif
! 574:
! 575: /* for setjmp/longjmp compatibility */
! 576: #if defined(__CYGWIN__)
! 577: #define JMP_BUF sigjmp_buf
! 578: #define SETJMP(x) sigsetjmp(x,~0)
! 579: #define LONGJMP(x,y) siglongjmp(x,y)
! 580: #else
! 581: #define JMP_BUF jmp_buf
! 582: #define SETJMP(x) setjmp(x)
! 583: #define LONGJMP(x,y) longjmp(x,y)
1.1 noro 584: #endif
585:
586: #define TRUESIZE(type,n,atype) (sizeof(struct type)+MAX((n),0)*sizeof(atype))
587: #define NALLOC(d) ((N)MALLOC_ATOMIC(TRUESIZE(oN,(d)-1,int)))
588: #define UMALLOC(d) ((UM)MALLOC(TRUESIZE(oUM,d,int)))
589: #define UPALLOC(d) ((UP)MALLOC(TRUESIZE(oUP,(d),Num)))
590: #define C_UMALLOC(d) ((UM)MALLOC(TRUESIZE(oUM,d,int)))
591: #define MLALLOC(d) ((ML)MALLOC(TRUESIZE(oML,d,pointer)))
592:
593: #define W_ALLOC(d) ((int *)ALLOCA(((d)+1)*sizeof(int)))
594: #define W_CALLOC(n,type,p) \
595: ((p)=(type *)ALLOCA(((n)+1)*sizeof(type)),\
596: bzero((char *)(p),(int)(((n)+1)*sizeof(type))))
597: #define W_UMALLOC(d) ((UM)ALLOCA(TRUESIZE(oUM,d,int)))
598: #define W_UPALLOC(d) ((UP)ALLOCA(TRUESIZE(oUP,(d),Num)))
599: #define W_MLALLOC(d) ((ML)ALLOCA(TRUESIZE(oML,d,pointer)))
600: #define W_LUMALLOC(n,bound,p)\
601: {\
602: LUM ___q___;\
603: int ___i___,**___c___;\
604: (___q___) = (LUM)ALLOCA(TRUESIZE(oLUM,(n),int *));\
605: DEG(___q___) = n;\
606: for ( ___i___ = 0, ___c___ = (int **)COEF(___q___); ___i___ <= n; ___i___++ ) {\
607: ___c___[___i___] = (int *)ALLOCA(((bound)+1)*sizeof(int));\
608: bzero((char *)___c___[___i___],((bound)+1)*sizeof(int));\
609: }\
610: (p) = ___q___;\
611: }
612:
1.18 noro 613: #define W_BMALLOC(dx,dy,p)\
1.16 noro 614: {\
615: BM ___q___;\
616: int ___i___;\
617: UM *___c___;\
1.18 noro 618: (___q___) = (BM)ALLOCA(TRUESIZE(oBM,(dy),UM));\
619: DEG(___q___) = dy;\
1.16 noro 620: ___c___ = (UM *)COEF(___q___);\
1.18 noro 621: for ( ___i___ = 0; ___i___ <= dy; ___i___++ ) {\
622: ___c___[___i___] = W_UMALLOC(dx);\
623: clearum(___c___[___i___],dx);\
1.16 noro 624: }\
625: (p) = ___q___;\
626: }
627:
1.1 noro 628: #define NEWUP2(q,w)\
629: ((q)=(UP2)MALLOC_ATOMIC(TRUESIZE(oUP2,(w)-1,unsigned int)),\
630: bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
631: #define W_NEWUP2(q,w)\
632: ((q)=(UP2)ALLOCA(TRUESIZE(oUP2,(w)-1,unsigned int)),\
633: bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
634: #define W_NEW_UP2(q,w)\
635: ((q).b=(unsigned int *)ALLOCA((w)*sizeof(unsigned int)))
636:
637: /* cell allocators */
638: #define NEWQ(q) ((q)=(Q)MALLOC(sizeof(struct oQ)),OID(q)=O_N,NID(q)=N_Q)
639: #define NEWMQ(q) ((q)=(MQ)MALLOC_ATOMIC(sizeof(struct oMQ)),OID(q)=O_N,NID(q)=N_M)
1.12 noro 640: #define NEWGFS(q) ((q)=(GFS)MALLOC_ATOMIC(sizeof(struct oGFS)),OID(q)=O_N,NID(q)=N_GFS)
1.21 noro 641: #define NEWGFSN(q) ((q)=(GFSN)MALLOC(sizeof(struct oGFSN)),OID(q)=O_N,NID(q)=N_GFSN)
1.1 noro 642: #define NEWP(p) ((p)=(P)MALLOC(sizeof(struct oP)),OID(p)=O_P)
643: #define NEWR(r) ((r)=(R)MALLOC(sizeof(struct oR)),OID(r)=O_R,(r)->reduced=0)
644: #define NEWLIST(l) ((l)=(LIST)MALLOC(sizeof(struct oLIST)),OID(l)=O_LIST)
645: #define NEWVECT(l) ((l)=(VECT)MALLOC(sizeof(struct oVECT)),OID(l)=O_VECT)
646: #define NEWSTR(l) ((l)=(STRING)MALLOC(sizeof(struct oSTRING)),OID(l)=O_STR)
647: #define NEWCOMP(c,n) ((c)=(COMP)MALLOC(sizeof(struct oCOMP)+((n)-1)*sizeof(Obj)),OID(c)=O_COMP)
648: #define NEWDP(d) ((d)=(DP)MALLOC(sizeof(struct oDP)),OID(d)=O_DP)
649: #define NEWUSINT(u) ((u)=(USINT)MALLOC_ATOMIC(sizeof(struct oUSINT)),OID(u)=O_USINT)
650: #define NEWERR(e) ((e)=(ERR)MALLOC(sizeof(struct oERR)),OID(e)=O_ERR)
651: #define NEWMATHCAP(e) ((e)=(MATHCAP)MALLOC(sizeof(struct oMATHCAP)),OID(e)=O_MATHCAP)
1.6 noro 652: #define NEWBYTEARRAY(e) ((e)=(BYTEARRAY)MALLOC(sizeof(struct oBYTEARRAY)),OID(e)=O_BYTEARRAY)
1.13 noro 653: #define NEWQUOTE(e) ((e)=(QUOTE)MALLOC(sizeof(struct oQUOTE)),OID(e)=O_QUOTE)
1.1 noro 654:
655: #define NEWNODE(a) ((a)=(NODE)MALLOC(sizeof(struct oNODE)))
656: #define NEWDC(dc) ((dc)=(DCP)MALLOC(sizeof(struct oDCP)))
657: #define NEWV(v) ((v)=(V)MALLOC(sizeof(struct oV)))
658: #define NEWVL(vl) ((vl)=(VL)MALLOC(sizeof(struct oVL)))
659: #define NEWMP(m) ((m)=(MP)MALLOC(sizeof(struct oMP)))
1.25 noro 660: #define NEWDLBUCKET(a) ((a)=(DLBUCKET)MALLOC(sizeof(struct oDLBUCKET)))
1.29 noro 661: #define NEWDPP(a) ((a)=(DP_pairs)MALLOC(sizeof(struct dp_pairs)))
1.1 noro 662:
663: #define NEWMAT(l) ((l)=(MAT)MALLOC(sizeof(struct oMAT)),OID(l)=O_MAT)
664: #define NEWGF2MAT(l) ((l)=(GF2MAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GF2MAT)
665: #define NEWGFMMAT(l) ((l)=(GFMMAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GFMMAT)
666: #define NEWReal(q) ((q)=(Real)MALLOC_ATOMIC(sizeof(struct oReal)),OID(q)=O_N,NID(q)=N_R)
667: #define NEWAlg(r) ((r)=(Alg)MALLOC(sizeof(struct oAlg)),OID(r)=O_N,NID(r)=N_A)
668: #define NEWBF(q,l) ((q)=(BF)MALLOC_ATOMIC(TRUESIZE(oBF,(l)-1,long)),OID(q)=O_N,NID(q)=N_B)
669: #define NEWC(r) ((r)=(C)MALLOC(sizeof(struct oC)),OID(r)=O_N,NID(r)=N_C)
670: #define NEWLM(r) ((r)=(LM)MALLOC(sizeof(struct oLM)),OID(r)=O_N,NID(r)=N_LM)
671: #define NEWGF2N(r) ((r)=(GF2N)MALLOC(sizeof(struct oGF2N)),OID(r)=O_N,NID(r)=N_GF2N)
672: #define NEWGFPN(r) ((r)=(GFPN)MALLOC(sizeof(struct oGFPN)),OID(r)=O_N,NID(r)=N_GFPN)
673: #define NEWDL(d,n) \
674: ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)),bzero((char *)(d),TRUESIZE(oDL,(n)-1,int)))
1.9 noro 675: #define NEWDL_NOINIT(d,n) \
676: ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)))
1.1 noro 677:
678: #define MKP(v,dc,p) \
679: (!DEG(dc)?((p)=COEF(dc)):(NEWP(p),VR(p)=(v),DC(p)=(dc),(p)))
680: #define MKV(v,p) \
681: (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
682: DEG(DC(p))=ONE,COEF(DC(p))=(P)ONE,NEXT(DC(p))=0)
683: #define MKRAT(n,d,r,p) \
684: (NEWR(p),NM(p)=(n),DN(p)=(d),(p)->reduced=(r))
685: #define MKMV(v,p) \
686: (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
687: DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
688: #define MKNODE(a,b,c) \
689: (NEWNODE(a),(a)->body=(pointer)b,NEXT(a)=(NODE)(c))
690: #define MKLIST(a,b) (NEWLIST(a),(a)->body=(NODE)(b))
691: #define MKVECT(m,l) \
692: (NEWVECT(m),(m)->len=(l),(m)->body=(pointer *)CALLOC((l),sizeof(pointer)))
693: #define MKMAT(m,r,c) \
694: (NEWMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(pointer **)almat_pointer((r),(c)))
695: #define TOGF2MAT(r,c,b,m) (NEWGF2MAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
696: #define TOGFMMAT(r,c,b,m) (NEWGFMMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
697: #define MKSTR(a,b) (NEWSTR(a),(a)->body=(char *)(b))
698: #define MKDP(n,m,d) (NEWDP(d),(d)->nv=(n),BDY(d)=(m))
699: #define MKLM(b,l) (!(b)?(l)=0:(NEWLM(l),(l)->body=(b),(l)))
700: #define MKGF2N(b,l) (!(b)?(l)=0:(NEWGF2N(l),(l)->body=(b),(l)))
701: #define MKGFPN(b,l) (!(b)?(l)=0:(NEWGFPN(l),(l)->body=(b),(l)))
702: #define MKUSINT(u,b) (NEWUSINT(u),(u)->body=(unsigned)(b))
703: #define MKERR(e,b) (NEWERR(e),(e)->body=(Obj)(b))
704: #define MKMATHCAP(e,b) (NEWMATHCAP(e),(e)->body=(LIST)(b))
1.6 noro 705: #define MKBYTEARRAY(m,l) \
706: (NEWBYTEARRAY(m),(m)->len=(l),(m)->body=(char *)MALLOC_ATOMIC((l)),bzero((m)->body,(l)))
1.13 noro 707: #define MKQUOTE(q,b) (NEWQUOTE(q),(q)->body=(pointer)(b))
1.1 noro 708:
709: #define NEXTDC(r,c) \
710: if(!(r)){NEWDC(r);(c)=(r);}else{NEWDC(NEXT(c));(c)=NEXT(c);}
711: #define NEXTNODE(r,c) \
712: if(!(r)){NEWNODE(r);(c)=(r);}else{NEWNODE(NEXT(c));(c)=NEXT(c);}
713: #define NEXTMP(r,c) \
714: if(!(r)){NEWMP(r);(c)=(r);}else{NEWMP(NEXT(c));(c)=NEXT(c);}
1.9 noro 715: #define NEXTMP2(r,c,s) \
716: if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
1.25 noro 717: #define NEXTDLBUCKET(r,c) \
718: if(!(r)){NEWDLBUCKET(r);(c)=(r);}else{NEWDLBUCKET(NEXT(c));(c)=NEXT(c);}
1.29 noro 719: #define NEXTVL(r,c) \
720: if(!(r)){NEWVL(r);(c)=(r);}else{NEWVL(NEXT(c));(c)=NEXT(c);}
721: #define NEXTDPP(r,c) \
722: if(!(r)){NEWDPP(r);(c)=(r);}else{NEWDPP(NEXT(c));(c)=NEXT(c);}
1.1 noro 723:
724: /* convertors */
725: #define NTOQ(n,s,q) \
726: (!(n)?((q)=0):(NEWQ(q),SGN(q)=(s),NM(q)=(n),DN(q)=0,(q)))
727: #define NDTOQ(n,d,s,q) \
728: ((!(d)||UNIN(d))?NTOQ(n,s,q):(NEWQ(q),SGN(q)=(s),NM(q)=(n),DN(q)=(d),(q)))
729: #define DUPQ(p,q) \
730: (NEWQ(q),SGN(q)=SGN(p),NM(q)=NM(p),DN(q)=DN(p))
731: #define STOQ(n,q) \
732: ((!(n))?((q)=(Q)NULL):(NEWQ(q),\
733: SGN(q)=((n)>0?1:-1),NM(q)=NALLOC(1),\
734: PL(NM(q))=1,BD(NM(q))[0]=ABS(n),DN(q)=0,(q)))
735: #define UTOMQ(a,b) \
736: ((a)?(NEWMQ(b),CONT(b)=(unsigned int)(a),(b)):((b)=0))
1.12 noro 737: #define MKGFS(a,b) \
738: ((NEWGFS(b),CONT(b)=(a),(b)))
1.21 noro 739: #define MKGFSN(a,b) \
740: ((DEG(a)>=0)?(NEWGFSN(b),BDY(b)=(a),(b)):((b)=0))
1.1 noro 741: #define STOMQ(a,b) \
742: ((a)?(NEWMQ(b),CONT(b)=(a),(b)):((b)=0))
743: #define UTON(u,n) \
744: ((!(u))?((n)=(N)NULL):((n)=NALLOC(1),PL(n)=1,BD(n)[0]=(unsigned int)(u),(n)))
745: #define UTOQ(n,q) \
746: ((!(n))?((q)=(Q)NULL):(NEWQ(q),\
747: SGN(q)=1,NM(q)=NALLOC(1),\
748: PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)))
749: #define QTOS(q) (!(q)?0:SGN(q)*((int)BD(NM(q))[0]))
750: #define STON(i,n)\
751: (i?((n)=NALLOC(1),PL(n)=1,BD(n)[0]=(i),(n)):((n)=(N)0))
752: #define PTOR(a,b) \
753: (!(a)?((b)=0):(NEWR(b),NM(b)=(a),DN(b)=(P)ONE,(b)->reduced=1,(b)))
754: #define RTOS(a) (!(a)?0:QTOS((Q)NM((R)a)))
755: #define MKReal(a,b) (!(a)?((b)=0):(NEWReal(b),BDY(b)=(a),(b)))
756: #define MKAlg(b,r) \
757: (!(b)?((r)=0):NUM(b)?((r)=(Alg)(b)):(NEWAlg(r),BDY(r)=(Obj)(b),(r)))
758:
1.3 noro 759: #if PARI
760: #define ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):BIGFLOAT(a)?rtodbl(BDY((BF)a)):0)
761: #else
762: #define ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):0.0)
763: #endif
1.1 noro 764:
765: /* predicates */
766: #define NUM(p) (OID(p)==O_N)
767: #define RAT(p) (OID(p)==O_R)
768: #define RATN(a) (NID(a)==N_Q)
1.22 noro 769: #define INT(q) (!(q)||(NUM(q)&&RATN((Num)q)&&!DN((Q)q)))
1.1 noro 770: #define REAL(a) (NID(a)==N_R)
1.3 noro 771: #define BIGFLOAT(a) (NID(a)==N_B)
1.1 noro 772: #define SFF(a) (NID(a)==N_M)
773: #define UNIQ(q) ((q)&&NUM(q)&&RATN(q)&&(SGN((Q)q)==1)&&UNIN(NM((Q)q))&&(!DN((Q)q)))
774: #define UNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==1))
775: #define MUNIQ(q) ((q)&&NUM(q)&&RATN(q)&&(SGN((Q)q)==-1)&&UNIN(NM((Q)q))&&(!DN((Q)q)))
776: #define MUNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==-1))
777: #define UNIN(n) ((n)&&(PL(n)==1)&&(BD(n)[0]==1))
778: #define EVENN(n) ((!(n))||(!(BD(n)[0]%2)))
779:
1.8 noro 780: /* special macros for private memory management */
781:
782: #define NV(p) ((p)->nv)
783: #define C(p) ((p)->c)
1.28 noro 784: #if 0
1.8 noro 785: #define ITOS(p) (((unsigned int)(p))&0x7fffffff)
786: #define STOI(i) ((P)((unsigned int)(i)|0x80000000))
1.28 noro 787: #else
788: #define ITOS(p) (((unsigned int)(p)))
789: #define STOI(i) ((P)((unsigned int)(i)))
790: #endif
1.15 noro 791:
792: /* immediate GFS representation */
793:
794: #define IFTOF(p) ((int)(((unsigned int)(p))&0x7fffffff))
795: #define FTOIF(i) ((int)(((unsigned int)(i)|0x80000000)))
1.8 noro 796:
797: struct cdl {
798: P c;
799: DL d;
800: };
801:
802: struct cdlm {
803: int c;
804: DL d;
805: };
806:
807: extern MP _mp_free_list;
808: extern DP _dp_free_list;
809: extern DL _dl_free_list;
810: extern int current_dl_length;
811:
812: #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)
813: #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)))
814: #define _NEWMP(m) if(!_mp_free_list)_MP_alloc(); (m)=_mp_free_list; _mp_free_list = NEXT(_mp_free_list)
1.10 noro 815: #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)
1.8 noro 816:
817: #define _NEXTMP(r,c) \
818: if(!(r)){_NEWMP(r);(c)=(r);}else{_NEWMP(NEXT(c));(c)=NEXT(c);}
819:
820: #define _NEXTMP2(r,c,s) \
821: if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
822:
823: #define _FREEDL(m) *((DL *)m)=_dl_free_list; _dl_free_list=(m)
824: #define _FREEMP(m) NEXT(m)=_mp_free_list; _mp_free_list=(m)
825: #define _FREEDP(m) BDY(m)=(MP)_dp_free_list; _dp_free_list=(m)
1.1 noro 826:
827: /* externals */
828: #if 0
829: double NatToReal();
830: double RatnToReal();
831: #endif
832:
833: extern struct oR oUNIR;
834: extern struct oQ oUNIQ;
835: extern struct oMQ oUNIMQ;
836: extern struct oN oUNIN;
837: extern struct oUP2 oONEUP2;
838: extern struct oV oVAR[];
839: extern struct oV oPVAR[];
840: extern struct oVL oVLIST[];
841: extern struct oVL oPVLIST[];
842: extern VL CO,ALG;
843: extern VL PVL;
844: extern R ONER;
845: extern Q ONE;
846: extern MQ ONEM;
847: extern LM ONELM;
848: extern N ONEN;
849: extern UP2 ONEUP2;
850:
851: extern FILE *asir_out;
1.7 noro 852: #if defined(__GNUC__)
1.1 noro 853: extern const int sprime[];
854: #else
855: extern int sprime[];
856: #endif
1.14 noro 857:
858: extern int lprime_size;
859: extern int *lprime;
1.1 noro 860:
861: extern void (*addnumt[])();
862: extern void (*subnumt[])();
863: extern void (*mulnumt[])();
864: extern void (*divnumt[])();
865: extern void (*pwrnumt[])();
866: extern int (*cmpnumt[])();
867: extern void (*chsgnnumt[])();
868:
1.29 noro 869: extern int current_mod;
870: extern GEN_UP2 current_mod_gf2n;
871: extern int lm_lazy;
872: extern int current_ff;
873: extern V up_var;
874: extern V up2_var;
875: extern P current_gfs_ext;
876: extern int current_gfs_p;
877: extern int current_gfs_q;
878: extern int current_gfs_q1;
879: extern int *current_gfs_plus1;
880: extern int *current_gfs_ntoi;
881: extern int *current_gfs_iton;
882:
1.1 noro 883: /* prototypes */
884: int compui(VL,USINT,USINT);
1.6 noro 885: int compbytearray(VL,BYTEARRAY,BYTEARRAY);
1.1 noro 886:
887: void powermodup(UP,UP *);
888: void hybrid_powermodup(UP,UP *);
889:
890: void powertabup(UP,UP,UP *);
891: void hybrid_powertabup(UP,UP,UP *);
892:
893: void generic_powermodup(UP,UP,Q,UP *);
894: void hybrid_generic_powermodup(UP,UP,Q,UP *);
895:
896: void powermod1up(UP,UP *);
897: void hybrid_rembymulup_special(int,UP,UP,UP,UP *);
898: void hybrid_tmulup(int,UP,UP,int,UP *);
899: void hybrid_squareup(int,UP,UP *);
900: void hybrid_mulup(int,UP,UP,UP *);
901:
902: void getmod_lm(N *);
903:
904: int maxblenup(UP);
905: void monicup(UP,UP *);
906: void simpup(UP,UP *);
907: void simpnum(Num,Num *);
908: void decompp(P,Q,P *,P *);
909: void truncp(P,Q,P *);
910: void uremp(P,P,P *);
911: void ugcdp(P,P,P *);
912: void reversep(P,Q,P *);
913: void invmodp(P,Q,P *);
914: void addup(UP,UP,UP *);
915: void subup(UP,UP,UP *);
916: void chsgnup(UP,UP *);
917: void mulup(UP,UP,UP *);
918: void tmulup(UP,UP,int,UP *);
919: void squareup(UP,UP *);
920: void remup(UP,UP,UP *);
921: void remup_destructive(UP,UP);
922: void qrup(UP,UP,UP *,UP *);
923: void qrup_destructive(UP,UP);
924: void gcdup(UP,UP,UP *);
925: void reverseup(UP,int,UP *);
926: void invmodup(UP,int,UP *);
927: void pwrup(UP,Q,UP *);
928: void squarep_gf2n(VL,P,P *);
929: void kmulp(VL,P,P,P *);
930: void ksquarep(VL,P,P *);
931: void kmulup(UP,UP,UP *);
932: void ksquareup(UP,UP *);
933: void extractup(UP,int,int,UP *);
934: void copyup(UP,UP);
935: void c_copyup(UP,int,pointer *);
936: void kmulupmain(UP,UP,UP *);
937: void ksquareupmain(UP,UP *);
938: void rembymulup(UP,UP,UP *);
939: void rembymulup_special(UP,UP,UP,UP *);
940: void tkmulup(UP,UP,int,UP *);
941: void shiftup(UP,int,UP *);
942: void set_degreeup(UP,int);
943: void decompup(UP,int,UP *,UP *);
944: void truncup(UP,int,UP *);
945: void uptofmarray(int,UP,ModNum *);
946: void fmarraytoup(ModNum *,int,UP *);
947: void uiarraytoup(unsigned int **,int,int,UP *);
948: void adj_coefup(UP,N,N,UP *);
949: void uptolmup(UP,UP *);
950: void remcup(UP,N,UP *);
951: void fft_mulup(UP,UP,UP *);
952: void fft_squareup(UP,UP *);
953: void trunc_fft_mulup(UP,UP,int,UP *);
954: void shoup_fft_mulup(UP,UP,UP *);
955: void shoup_fft_squareup(UP,UP *);
956: void shoup_trunc_fft_mulup(UP,UP,int,UP *);
957: void crup(ModNum **,int,int *,int,N,UP *);
958: void shoup_crup(ModNum **,int,int *,int,N,N,UP *);
959: void squareup_gf2n(UP,UP *);
960: void powermodup_gf2n(UP,UP *);
961: void generic_powermodup_gf2n(UP,UP,Q,UP *);
962: void tracemodup_gf2n(UP,UP,Q,UP *);
963: void tracemodup_gf2n_slow(UP,UP,Q,UP *);
964: void tracemodup_gf2n_tab(UP,UP,Q,UP *);
965: void square_rem_tab_up_gf2n(UP,UP *,UP *);
966: void powertabup_gf2n(UP,UP,UP *);
967: void find_root_gf2n(UP,GF2N *);
968:
969: int cmpdl_matrix(int,DL,DL);
970: int cmpdl_order_pair(int,DL,DL);
971: int cmpdl_elim(int,DL,DL);
972: int cmpdl_blexrev(int,DL,DL);
973: int cmpdl_bgradrev(int,DL,DL);
974: int cmpdl_brevrev(int,DL,DL);
975: int cmpdl_brevgradlex(int,DL,DL);
976: int cmpdl_bgradlex(int,DL,DL);
977: int cmpdl_blex(int,DL,DL);
978: int cmpdl_revgradlex(int,DL,DL);
979: int cmpdl_gradlex(int,DL,DL);
980: int cmpdl_revlex(int,DL,DL);
981: int cmpdl_lex(int,DL,DL);
982: int compd(VL,DP,DP);
983: void adddl(int,DL,DL,DL *);
984: void divsdc(VL,DP,P,DP *);
985: void muldc(VL,DP,P,DP *);
986: void muldm(VL,DP,MP,DP *);
987: void muld(VL,DP,DP,DP *);
988: void chsgnd(DP,DP *);
989: void subd(VL,DP,DP,DP *);
990: void addd(VL,DP,DP,DP *);
991: int sugard(MP);
992: void nodetod(NODE,DP *);
993: void dtop(VL,VL,DP,P *);
994: void ptod(VL,VL,P,DP *);
995: void initd(struct order_spec *);
996:
997: void _printdp(DP);
998: void _dp_sp_mod(DP,DP,int,DP *);
999: void _dp_mod(DP,int,NODE,DP *);
1000: void _dp_red_mod(DP,DP,int,DP *);
1001: void _dtop_mod(VL,VL,DP,P *);
1002: void _mulmdm(VL,int,DP,MP,DP *);
1003: void _mulmd(VL,int,DP,DP,DP *);
1004: void _chsgnmd(int,DP,DP *);
1005: void _submd(VL,int,DP,DP,DP *);
1006: void _addmd(VL,int,DP,DP,DP *);
1007: void _mdtop(VL,int,VL,DP,P *);
1008: void divsmdc(VL,int,DP,P,DP *);
1009: void mulmdc(VL,int,DP,P,DP *);
1010: void mulmdm(VL,int,DP,MP,DP *);
1011: void mulmd(VL,int,DP,DP,DP *);
1012: void chsgnmd(int,DP,DP *);
1013: void submd(VL,int,DP,DP,DP *);
1014: void addmd(VL,int,DP,DP,DP *);
1015: void mdtop(VL,int,VL,DP,P *);
1016: void mptomd(VL,int,VL,P,DP *);
1017: void ptomd(VL,int,VL,P,DP *);
1018: int p_mag(P);
1019: int n_bits(N);
1020: void gcdBinary_27n(N,N,N *);
1021: void rtime_init(void);
1022: void setmod_gf2n(P);
1023: void mt_sgenrand(unsigned long);
1024: unsigned long mt_genrand(void);
1025: #if defined(VISUAL)
1026: void srandom(unsigned int);
1027: unsigned int random(void);
1028: #endif
1029: void gcdbmodn(N,N,N *);
1030: void gcdbinn(N,N,N *);
1031: void gcdmodn(N,N,N *);
1032: void gcdaccn(N,N,N *);
1033: void gcdEuclidn(N,N,N *);
1034: void GC_free(void *);
1035: void FFT_primes(int,int *,int *,int *);
1036: int FFT_pol_product(unsigned int,unsigned int *, unsigned int,unsigned int *,
1037: unsigned int *,int,unsigned int *);
1038: int FFT_pol_square(unsigned int,unsigned int *,
1039: unsigned int *,int,unsigned int *);
1040: void dcptolist(DCP,LIST *);
1041: void gcdprsmp(VL,int,P,P,P *);
1042: void mult_mod_tab(UM,int,UM *,UM,int);
1043: int nfctr_mod(UM,int);
1044: int irred_check(UM,int);
1045: void modfctrp(P,int,int,DCP *);
1046: void pf_init(void);
1047: void binaryton(char *,N *);
1048: void hexton(char *,N *);
1049: void ptolmp(P,P *);
1050: void lmptop(P,P *);
1051: void ulmptoum(int,UP,UM);
1052: void objtobobj(int,Obj,Obj *);
1053: void bobjtoobj(int,Obj,Obj *);
1054: void numtobnum(int,Num,Num *);
1055: void bnumtonum(int,Num,Num *);
1056: void ptobp(int,P,P *);
1057: void bptop(int,P,P *);
1058: void listtoblist(int,LIST,LIST *);
1059: void blisttolist(int,LIST,LIST *);
1060: void vecttobvect(int,VECT,VECT *);
1061: void bvecttovect(int,VECT,VECT *);
1062: void mattobmat(int,MAT,MAT *);
1063: void bmattomat(int,MAT,MAT *);
1064: void n32ton27(N,N *);
1065: void n27ton32(N,N *);
1066: void kmulum(int,UM,UM,UM);
1067: void saveobj(FILE *,Obj);
1068: void endian_init(void);
1069: void write_char(FILE *,unsigned char *);
1070: void write_short(FILE *,unsigned short *);
1071: void write_int(FILE *,unsigned int *);
1072: void write_double(FILE *,double *);
1073: void write_intarray(FILE *,unsigned int *,int);
1074: void write_string(FILE *,unsigned char *,int);
1075: void savestr(FILE *,char *);
1076: void loadstr(FILE *,char **);
1077: void savevl(FILE *,VL);
1078: void loadvl(FILE *);
1079: void skipvl(FILE *);
1080: void savev(FILE *,V);
1081: void loadv(FILE *,V *);
1082: int save_convv(V);
1083: V load_convv(int);
1084: void swap_bytes(char *,int,int);
1085: void read_char(FILE *,unsigned char *);
1086: void read_short(FILE *,unsigned short *);
1087: void read_int(FILE *,unsigned int *);
1088: void read_double(FILE *,double *);
1089: void read_intarray(FILE *,unsigned int *,int);
1090: void read_string(FILE *,unsigned char *,int);
1091: void loadobj(FILE *,Obj *);
1092: void invum(int,UM,UM,UM);
1093: void addarray_to(unsigned int *,int,unsigned int *,int);
1094: void muln_1(unsigned int *,int,unsigned int,unsigned int *);
1095: unsigned int divn_1(unsigned int *,int,unsigned int,unsigned int *);
1096: void ptoup(P,UP *);
1097: void uptop(UP,P *);
1098: void printnum(Num);
1099: void printv(VL,V);
1100: void kmulq(Q,Q,Q *);
1101: void bshiftn(N,int,N *);
1102: void remn(N,N,N*);
1103: void simplm(LM,LM *);
1104: void qtolm(Q,LM *);
1105: int qpcheck(Obj);
1106: int headsgn(P);
1107: void adjsgn(P,DCP);
1108: void setmod_g2n(P);
1109: void simpgf2n(GF2N,GF2N *);
1110: void ptogf2n(Obj,GF2N *);
1111: void gf2ntop(GF2N,P *);
1112: void gf2ntovect(GF2N,VECT *);
1113: void squaregf2n(GF2N,GF2N *);
1114: void randomgf2n(GF2N *);
1115: void invgf2n(GF2N,GF2N *);
1116: void kmuln(N,N,N *);
1117: void extractn(N,int,int,N *);
1118: void copyn(N,int,int *);
1119: void kmulnmain(N,N,N *);
1120: int qcoefp(Obj);
1121: int qcoefr(Obj);
1122: int get_allocwords(void);
1123: double get_clock(void);
1124: void get_eg(struct oEGT *);
1125: void printtime(struct oEGT *,struct oEGT *,double);
1126: void init_eg(struct oEGT *);
1127: void add_eg(struct oEGT *,struct oEGT *,struct oEGT *);
1128: void print_eg(char *,struct oEGT *);
1129: void print_split_eg(struct oEGT *,struct oEGT *);
1130: void print_split_e(struct oEGT *,struct oEGT *);
1131: void suspend_timer(void);
1132: void resume_timer(void);
1133: void reset_engine(void);
1134: void notdef(VL,Obj,Obj,Obj *);
1135: void error(char *);
1136: void ptoup2(P,UP2 *);
1137: void ptoup2_sparse(P,UP2 *);
1138: void up2top(UP2,P *);
1139: void up2tovect(UP2,VECT *);
1140: void up2ton(UP2,Q *);
1141: void ntoup2(Q,UP2 *);
1142: void gen_simpup2(UP2,GEN_UP2,UP2 *);
1143: void gen_simpup2_destructive(UP2,GEN_UP2);
1144: void gen_invup2(UP2,GEN_UP2,UP2 *);
1145: void gen_pwrmodup2(UP2,Q,GEN_UP2,UP2 *);
1146: void simpup2(UP2,UP2,UP2 *);
1147: int degup2(UP2);
1148: int degup2_sparse(UP2);
1149: int degup2_1(unsigned int);
1150: void addup2(UP2,UP2,UP2 *);
1151: void subup2(UP2,UP2,UP2 *);
1152: void mulup2_n1(unsigned int *,int,unsigned int,unsigned int *);
1153: void mulup2_nh(unsigned int *,int,unsigned int,unsigned int *);
1154: void _mulup2_1(UP2,unsigned int,UP2);
1155: void _mulup2_h(UP2,unsigned int,UP2);
1156: void mulup2(UP2,UP2,UP2 *);
1157: void _kmulup2_(unsigned int *,unsigned int *,int,unsigned int *);
1158: void _mulup2_nn(unsigned int *,unsigned int *,int,unsigned int *);
1159: void _mulup2(UP2,UP2,UP2);
1160: void _mulup2_(_UP2,_UP2,_UP2);
1161: void squareup2(UP2,UP2 *);
1162: void _adjup2(UP2);
1163: void _adjup2_(_UP2);
1164: void _addup2(UP2,UP2,UP2);
1165: void _addup2_destructive(UP2,UP2);
1166: void _addup2_(_UP2,_UP2,_UP2);
1167: void _addtoup2_(_UP2,_UP2);
1168: unsigned int mulup2_bb(unsigned int,unsigned int);
1169: void init_up2_tab(void);
1170: unsigned int quoup2_11(unsigned int,unsigned int);
1171: void divup2_1(unsigned int,unsigned int,int,int,unsigned int *,unsigned int *);
1172: void qrup2(UP2,UP2,UP2 *,UP2 *);
1173: void _qrup2(UP2,UP2,UP2,UP2);
1174: void remup2(UP2,UP2,UP2 *);
1175: void _remup2(UP2,UP2,UP2);
1176: void remup2_sparse(UP2,UP2,UP2 *);
1177: void remup2_sparse_destructive(UP2,UP2);
1178: void remup2_type1_destructive(UP2,int);
1179: void remup2_3_destructive(UP2,UP2);
1180: void remup2_5_destructive(UP2,UP2);
1181: void _invup2_1(unsigned int,unsigned int,unsigned int *,unsigned int *);
1182: void _gcdup2_1(unsigned int,unsigned int,unsigned int *);
1183: void up2_init_eg(void);
1184: void up2_show_eg(void);
1185: void invup2(UP2,UP2,UP2 *);
1186: void gcdup2(UP2,UP2,UP2 *);
1187: void chsgnup2(UP2,UP2 *);
1188: void pwrmodup2(UP2,Q,UP2,UP2 *);
1189: void pwrmodup2_sparse(UP2,Q,UP2,UP2 *);
1190: int compup2(UP2,UP2);
1191: void printup2(UP2);
1192: void _copyup2(UP2,UP2);
1193: void _bshiftup2(UP2,int,UP2);
1194: void _bshiftup2_destructive(UP2,int);
1195: void diffup2(UP2,UP2 *);
1196: int sqfrcheckup2(UP2);
1197: int irredcheckup2(UP2);
1198: int irredcheck_dddup2(UP2);
1199: void _copy_up2bits(UP2,unsigned int **,int);
1200: void _print_frobmat(unsigned int **,int,int);
1201: int compute_multiplication_matrix(P,GF2MAT *);
1202: void compute_change_of_basis_matrix(P,P,int,GF2MAT *,GF2MAT *);
1203: int compute_representation_conversion_matrix(P,GF2MAT *,GF2MAT *);
1204: void mul_nb(GF2MAT,unsigned int *,unsigned int *,unsigned int *);
1205: void leftshift(unsigned int *,int);
1206: void mat_to_gf2mat(MAT,unsigned int ***);
1207: void gf2mat_to_mat(unsigned int **,int,MAT *);
1208: void mulgf2mat(int,unsigned int **,unsigned int **,unsigned int **);
1209: void mulgf2vectmat(int,unsigned int *,unsigned int **,unsigned int *);
1210: int mulgf2vectvect(int,unsigned int *,unsigned int *);
1211: int invgf2mat(int,unsigned int **,unsigned int **);
1212: void _mulup2_11(unsigned int,unsigned int,unsigned int *);
1213: void _mulup2_22(unsigned int *,unsigned int *,unsigned int *);
1214: void _mulup2_33(unsigned int *,unsigned int *,unsigned int *);
1215: void _mulup2_44(unsigned int *,unsigned int *,unsigned int *);
1216: void _mulup2_55(unsigned int *,unsigned int *,unsigned int *);
1217: void _mulup2_66(unsigned int *,unsigned int *,unsigned int *);
1218: void printup2_(unsigned int *,int);
1219: void type1_bin_invup2(UP2,int,UP2 *);
1220: int int_bits(int);
1221:
1222:
1223: LUM LUMALLOC(int, int);
1.16 noro 1224: BM BMALLOC(int, int);
1.1 noro 1225: Obj ToAlg(Num);
1226: UM *berlemain(register int, UM, UM *);
1227: void *Risa_GC_malloc(size_t);
1228: void *Risa_GC_malloc_atomic(size_t);
1229: void *Risa_GC_realloc(void *,size_t);
1230: void *GC_malloc(size_t);
1231: void *GC_malloc_atomic(size_t);
1232: void *GC_realloc(void *,size_t);
1233: double NatToReal(N,int *);
1234: double RatnToReal(Q);
1235: double pwrreal0(double,int);
1.3 noro 1236: double rtodbl(); /* XXX */
1.1 noro 1237: int **almat(int,int);
1238: pointer **almat_pointer(int,int);
1239: int berlecnt(register int,UM);
1240: int berlecntmain(register int,int,int,register int **);
1241: int cmpalg(Num,Num);
1242: int cmpbf(Num,Num);
1243: int cmpcplx(Num,Num);
1244: int cmpn(N,N);
1245: int cmpq(Q,Q);
1246: int cmpreal(Real,Real);
1247: int cmpmi(MQ,MQ);
1248: int cmplm(LM,LM);
1249: int compmat(VL,MAT,MAT);
1250: int compnum(VL,Num,Num);
1251: int compp(VL,P,P);
1252: int compr(VL,Obj,Obj);
1253: int compstr(VL,STRING,STRING);
1254: int compvect(VL,VECT,VECT);
1255: int ctest(P,ML,int,int *);
1256: int cycchk(P);
1257: int dbound(V,P);
1258: int dcomp(P,P);
1259: int deg(V,P);
1260: int degtest(int,int *,ML,int);
1261: int divcheck(VL,P *,int,P,P);
1262: unsigned int divin(N,unsigned int,N *);
1263: int divtdcpz(VL,P,P,P *);
1264: int divtpz(VL,P,P,P *);
1265: int divum(register int,UM,UM,UM);
1266: int dm(int,int,int *);
1267: int dmb(int,int,int,int *);
1268: int dma(int,int,int,int *);
1269: int dmab(int,int,int,int,int *);
1270: int dmar(int,int,int,int);
1271: int dtestmain(P,Q,ML,int,int *,P *,P *);
1272: int geldb(VL,P);
1273: int getchomdeg(V,P);
1274: int getdeg(V,P);
1275: int getlchomdeg(V,P,int *);
1.29 noro 1276: int get_lprime(int);
1.1 noro 1277: int homdeg(P);
1278: unsigned int invm(unsigned int,int);
1279: int iscycm(P);
1280: int iscycp(P);
1281: int lengthp(P);
1282: int mig(int,int,P);
1283: int mignotte(int,P);
1284: int minimain(register int,int,int,register int **);
1285: int ncombi(int,int,int,int *);
1286: int nextbin(VN,int);
1287: int nmonop(P);
1288: int pcoef(VL,VL,P,P *);
1289: int pcoef0(VL,VL,P,P *);
1290: unsigned int pwrm(register int,register int,int);
1.29 noro 1291: unsigned int rem(N,int);
1.1 noro 1292: int sqfrchk(P);
1293: int subn(N,N,N *);
1294: int ucmpp(P,P);
1295: int valideval(VL,DCP,VN);
1296: int zerovpchk(VL,P,VN);
1297:
1298: void addgf2n(GF2N,GF2N,GF2N *);
1299: void subgf2n(GF2N,GF2N,GF2N *);
1300: void mulgf2n(GF2N,GF2N,GF2N *);
1301: void divgf2n(GF2N,GF2N,GF2N *);
1302: void chsgngf2n(GF2N,GF2N *);
1303: void pwrgf2n(GF2N,Q, GF2N *);
1304: int cmpgf2n(GF2N,GF2N);
1305:
1306: void addgfpn(GFPN,GFPN,GFPN *);
1307: void subgfpn(GFPN,GFPN,GFPN *);
1308: void mulgfpn(GFPN,GFPN,GFPN *);
1309: void divgfpn(GFPN,GFPN,GFPN *);
1310: void chsgngfpn(GFPN,GFPN *);
1311: void pwrgfpn(GFPN,Q, GFPN *);
1312: int cmpgfpn(GFPN,GFPN);
1.12 noro 1313:
1314: void addgfs(GFS,GFS,GFS *);
1315: void subgfs(GFS,GFS,GFS *);
1316: void mulgfs(GFS,GFS,GFS *);
1317: void divgfs(GFS,GFS,GFS *);
1318: void chsgngfs(GFS,GFS *);
1319: void pwrgfs(GFS,Q, GFS *);
1320: int cmpgfs(GFS,GFS);
1.20 noro 1321:
1.21 noro 1322: void addgfsn(GFSN,GFSN,GFSN *);
1323: void subgfsn(GFSN,GFSN,GFSN *);
1324: void mulgfsn(GFSN,GFSN,GFSN *);
1325: void divgfsn(GFSN,GFSN,GFSN *);
1326: void chsgngfsn(GFSN,GFSN *);
1327: void pwrgfsn(GFSN,Q, GFSN *);
1328: int cmpgfsn(GFSN,GFSN);
1.1 noro 1329:
1330: void addalg(Num,Num,Num *);
1331: void addbf(Num,Num,Num *);
1332: void addcplx(Num,Num,Num *);
1333: void addm2p(VL,Q,Q,P,P,P *);
1334: void addm2q(Q,Q,Q,Q,Q *);
1335: void addmat(VL,MAT,MAT,MAT *);
1336: void addmp(VL,int,P,P,P *);
1337: void addmpq(int,P,P,P *);
1338: void addmptoc(VL,int,P,P,P *);
1339: void addmq(int,MQ,MQ,MQ *);
1340: void addn(N,N,N *);
1341: void addnum(VL,Num,Num,Num *);
1342: void addp(VL,P,P,P *);
1343: void addpadic(int,int,unsigned int *,unsigned int *);
1344: void addpq(P,P,P *);
1345: void addptoc(VL,P,P,P *);
1346: void addq(Q,Q,Q *);
1347: void addr(VL,Obj,Obj,Obj *);
1348: void addreal(Num,Num,Real *);
1349: void addmi(MQ,MQ,MQ *);
1350: void addlm(LM,LM,LM *);
1351: void addstr(VL,STRING,STRING,STRING *);
1352: void addum(int,UM,UM,UM);
1353: void addvect(VL,VECT,VECT,VECT *);
1.19 noro 1354: void addquote(VL,QUOTE,QUOTE,QUOTE *);
1.1 noro 1355: void adjc(VL,P,P,P,Q,P *,P *);
1356: void afctr(VL,P,P,DCP *);
1357: void afctrmain(VL,P,P,int,DCP *);
1358: void affine(VL,P,VN,P *);
1359: void affinemain(VL,P,V,int,P *,P *);
1360: void berle(int,int,P,ML *);
1361: void bnton(register int,N,N *);
1362: void cbound(VL,P,Q *);
1363: void chnrem(int,V,P,Q,UM,P *,Q *);
1364: void chnremp(VL,int,P,Q,P,P *);
1365: void chsgnalg(Num,Num *);
1366: void chsgnbf(Num a,Num *);
1367: void chsgncplx(Num,Num *);
1368: void chsgnmat(MAT,MAT *);
1369: void chsgnmp(int,P,P *);
1370: void chsgnnum(Num,Num *);
1371: void chsgnp(P,P *);
1372: void chsgnq(Q,Q *);
1373: void chsgnr(Obj,Obj *);
1374: void chsgnreal(Num,Num *);
1375: void chsgnmi(MQ,MQ *);
1376: void chsgnlm(LM,LM *);
1377: void chsgnvect(VECT,VECT *);
1.19 noro 1378: void chsgnquote(QUOTE,QUOTE *);
1.1 noro 1379: void clctv(VL,P,VL *);
1380: void clctvr(VL,Obj,VL *);
1381: void cm2p(Q,Q,P,P *);
1382: void cmax(P,Q *);
1383: void cmp(Q,P,P *);
1384: void coefp(P,int,P *);
1385: void cpylum(int,LUM,LUM);
1386: void cpyum(UM,UM);
1387: void csump(VL,P,Q *);
1388: void cycm(V,register int,DCP *);
1389: void cycp(V,register int,DCP *);
1390: void degp(V,P,Q *);
1391: void degum(UM,int);
1392: void detmp(VL,int,P **,int,P *);
1393: void detp(VL,P **,int,P *);
1394: void diffp(VL,P,V,P *);
1395: void diffum(register int,UM,UM);
1396: void divalg(Num,Num,Num *);
1397: void divbf(Num,Num,Num *);
1398: void divcp(P,Q,P *);
1399: void divcplx(Num,Num,Num *);
1400: void divmat(VL,Obj,Obj,Obj *);
1401: void divmq(int,MQ,MQ,MQ *);
1402: void divn(N,N,N *,N *);
1403: void divnmain(int,int,unsigned int *,unsigned int *,unsigned int *);
1404: void divnum(VL,Num,Num,Num *);
1405: void divq(Q,Q,Q *);
1406: void divr(VL,Obj,Obj,Obj *);
1407: void divreal(Num,Num,Real *);
1408: void divmi(MQ,MQ,MQ *);
1409: void divlm(LM,LM,LM *);
1410: void divsdcmp(VL,int,P,P,P *);
1411: void divsdcp(VL,P,P,P *);
1412: void divsmp(VL,int,P,P,P *);
1413: void divsn(N,N,N *);
1414: void divsp(VL,P,P,P *);
1415: void divsrdcmp(VL,int,P,P,P *,P *);
1416: void divsrdcp(VL,P,P,P *,P *);
1417: void divsrmp(VL,int,P,P,P *,P *);
1418: void divsrp(VL,P,P,P *,P *);
1419: void divvect(VL,Obj,Obj,Obj *);
1.19 noro 1420: void divquote(VL,QUOTE,QUOTE,QUOTE *);
1.1 noro 1421: void dtest(P,ML,int,DCP *);
1422: void dtestroot(int,int,P,LUM,struct oDUM *,DCP *);
1423: void dtestroot1(int,int,P,LUM,P *);
1424: void dtestsq(int,int,P,LUM,P *);
1425: void dtestsql(P,ML,struct oDUM *,DCP *);
1426: void estimatelc(VL,Q,DCP,VN,P *);
1427: void eucum(register int,UM,UM,UM,UM);
1428: void exthp(VL,P,int,P *);
1429: void exthpc(VL,V,P,int,P *);
1430: void ezgcd1p(VL,P,P,P *);
1431: void ezgcdhensel(P,int,UM,UM,ML *);
1432: void ezgcdnp(VL,P,P *,int,P *);
1433: void ezgcdnpp(VL,DCP,P *,int,P *);
1434: void ezgcdnpz(VL,P *,int,P *);
1435: void ezgcdp(VL,P,P,P *);
1436: void ezgcdpp(VL,DCP,P,P *);
1437: void ezgcdpz(VL,P,P,P *);
1438: void factorial(int,Q *);
1439: void fctrp(VL,P,DCP *);
1440: void fctrwithmvp(VL,P,V,DCP *);
1441: void gcda(VL,P,P,P,P *);
1442: void gcdcp(VL,P,P *);
1443: void gcdgen(P,ML,ML *);
1444: void gcdmonomial(VL,DCP *,int,P *);
1445: void gcdn(N,N,N *);
1446: void gcdprsp(VL,P,P,P *);
1447: void gcdum(register int,UM,UM,UM);
1448: void getmindeg(V,P,Q *);
1449: void henmain(LUM,ML,ML,ML *);
1450: void henmv(VL,VN,P,P,P,P,P,P,P,P,P,Q,int,P *,P *);
1451: void henmvmain(VL,VN,P,P,P,P,P,P,P,Q,Q,int,P *,P *);
1452: void henprep(P,ML,ML,ML *,ML *);
1453: void hensel(int,int,P,ML *);
1454: void henzq(P,P,UM,P,UM,int,int,P *,P *,P *,P *,Q *);
1455: void henzq1(P,P,Q,P *,P *,Q *);
1456: void hsq(int,int,P,int *,DCP *);
1457: void intersectv(VL,VL,VL *);
1458: void invl(Q,Q,Q *);
1459: void invmq(int,MQ,MQ *);
1460: void invq(Q,Q *);
1461: void lgp(P,N *,N *);
1462: void lumtop(V,int,int,LUM,P *);
1463: void markv(VN,int,P);
1464: void maxdegp(VL,P,VL *,P *);
1465: void mergev(VL,VL,VL,VL *);
1466: void mfctr(VL,P,DCP *);
1467: void mfctrhen2(VL,VN,P,P,P,P,P,P,P *);
1468: void mfctrmain(VL,P,DCP *);
1469: void mfctrwithmv(VL,P,V,DCP *);
1470: void min_common_vars_in_coefp(VL,P,VL *,P *);
1471: void minchdegp(VL,P,VL *,P *);
1472: void mindegp(VL,P,VL *,P *);
1473: void mini(register int,UM,UM);
1474: void minlcdegp(VL,P,VL *,P *);
1475: void mkbc(int,Q *);
1476: void mkbcm(int,int,MQ *);
1477: void mkssum(V,int,int,int,P *);
1478: void monomialfctr(VL,P,P *,DCP *);
1479: void mptop(P,P *);
1480: void mptoum(P,UM);
1481: void msqfr(VL,P,DCP *);
1482: void msqfrmain(VL,P,DCP *);
1483: void msqfrmainmain(VL,P,VN,P,DCP,DCP *,P *);
1484: void mulalg(Num,Num,Num *);
1485: void mulbf(Num,Num,Num *);
1486: void mulcplx(Num,Num,Num *);
1487: void mulin(N,unsigned int,unsigned int *);
1488: void mullum(int,int,LUM,LUM,LUM);
1489: void mullumarray(P,ML,int,int *,P *);
1490: void mulm2p(VL,Q,Q,P,P,P *);
1491: void mulm2q(Q,Q,Q,Q,Q *);
1492: void mulmat(VL,Obj,Obj,Obj *);
1493: void mulmatmat(VL,MAT,MAT,MAT *);
1494: void mulmatvect(VL,MAT,VECT,VECT *);
1495: void mulmp(VL,int,P,P,P *);
1496: void mulmpc(VL,int,P,P,P *);
1497: void mulmpq(int,P,P,P *);
1498: void mulmq(int,MQ,MQ,MQ *);
1499: void muln(N,N,N *);
1500: void mulnum(VL,Num,Num,Num *);
1501: void mulp(VL,P,P,P *);
1502: void mulpadic(int,int,unsigned int *,unsigned int *,unsigned int *);
1503: void mulpc(VL,P,P,P *);
1504: void mulpq(P,P,P *);
1505: void mulq(Q,Q,Q *);
1506: void mulr(VL,Obj,Obj,Obj *);
1507: void mulreal(Num,Num,Real *);
1508: void mulmi(MQ,MQ,MQ *);
1509: void mullm(LM,LM,LM *);
1510: void mulrmat(VL,Obj,MAT,MAT *);
1511: void mulrvect(VL,Obj,VECT,VECT *);
1512: void mulsgn(VN,VN,int,VN);
1513: void mulsum(register int,UM,register int,UM);
1514: void mulum(register int,UM,UM,UM);
1515: void mulvect(VL,Obj,Obj,Obj *);
1.19 noro 1516: void mulquote(VL,QUOTE,QUOTE,QUOTE *);
1.1 noro 1517: void mulvectmat(VL,VECT,MAT,VECT *);
1518: void next(VN);
1519: void nezgcdnp_sqfr_primitive(VL,P,P *,int,P *);
1520: void nezgcdnpp(VL,DCP,P *,int,P *);
1521: void nezgcdnpz(VL,P *,int,P *);
1522: void nezgcdnpzmain(VL,P *,int,P *);
1523: void nglob_init(void);
1524: void norm(P,Q *);
1525: void norm1(P,P *);
1526: void norm1c(P,Q *);
1527: void normalizemp(int,P);
1528: void nthrootchk(P,struct oDUM *,ML,DCP *);
1529: void nthrootn(N,int,N *);
1530: void ntobn(register int,N,N *);
1531: void nuezgcdnpzmain(VL,P *,int,P *);
1532: void padictoq(int,int,int *,Q *);
1533: void risa_pari_init(void);
1534: void pcp(VL,P,P *,P *);
1535: void pderivr(VL,Obj,V,Obj *);
1536: void pdiva(VL,P,P,P,P *);
1537: void pinva(P,P,P *);
1538: void plisttop(P *,V,int,P *);
1539: void pmonic(VL,P,P,P *);
1540: void pqra(VL,P,P,P,P *,P *);
1541: void premmp(VL,int,P,P,P *);
1542: void premp(VL,P,P,P *);
1543: void ptolum(int,int,P,LUM);
1544: void ptomp(int,P,P *);
1545: void ptoum(int,P,UM);
1546: void ptozp(P,int,Q *,P *);
1547: void ptozp0(P,P *);
1548: void pwralg(Num,Num,Num *);
1549: void pwrbf(Num,Num,Num *);
1550: void pwrcplx(Num,Num,Num *);
1551: void pwrcplx0(Num,int,Num *);
1552: void pwrlum(int,int,LUM,int,LUM);
1553: void pwrmat(VL,MAT,Obj,MAT *);
1554: void pwrmatmain(VL,MAT,int,MAT *);
1555: void pwrmp(VL,int,P,Q,P *);
1556: void pwrmq(int,MQ,Q,MQ *);
1557: void pwrn(N,int,N *);
1558: void pwrnum(VL,Num,Num,Num *);
1559: void pwrp(VL,P,Q,P *);
1560: void pwrq(Q,Q,Q *);
1561: void pwrr(VL,Obj,Obj,Obj *);
1.19 noro 1562: void pwrquote(VL,QUOTE,QUOTE,QUOTE *);
1.1 noro 1563: void pwrreal(Num,Num,Real *);
1564: void pwrmi(MQ,Q,MQ *);
1565: void pwrlm(LM,Q,LM *);
1566: void pwrum(int,UM,int,UM);
1567: void reallocarray(char **,int *,int *,int);
1568: void reductr(VL,Obj,Obj *);
1569: void reimtocplx(Num,Num,Num *);
1570: void rem2q(Q,Q,Q,Q *);
1571: void rema(VL,P,P,P,P *);
1572: void remq(Q,Q,Q *);
1573: void remsdcp(VL,P,P,P *);
1574: void reordermp(VL,int,VL,P,P *);
1575: void reorderp(VL,VL,P,P *);
1576: void reordvar(VL,V,VL *);
1577: void res_ch_det(VL,V,P,P,P *);
1578: void res_detmp(VL,int,V,P,P,P *);
1579: void restore(VL,P,VN,P *);
1580: void resultmp(VL,int,V,P,P,P *);
1581: void resultp(VL,V,P,P,P *);
1582: void setlum(int,int,LUM);
1583: void sort_by_deg(int,P *,P *);
1584: void sort_by_deg_rev(int,P *,P *);
1585: void sortfs(DCP *);
1586: void sortfsrev(DCP *);
1587: void sortplist(P *,int);
1588: void sortplistbyhomdeg(P *,int);
1589: void sprs(VL,V,P,P,P *);
1590: void sqa(VL,P,P,DCP *);
1591: void sqad(unsigned int,int);
1592: void sqfrp(VL,P,DCP *);
1593: void sqfrum(int,int,P,int *,struct oDUM **,ML *);
1594: void sqfrummain(int,UM,UM,struct oDUM **);
1595: void sqrtn(N,N *);
1596: void srch2(VL,V,P,P,P *);
1597: void srchmp(VL,int,V,P,P,P *);
1598: void srchump(int,P,P,P *);
1599: void srcr(VL,V,P,P,P *);
1600: void strtobf(char *,BF *);
1601: void subalg(Num,Num,Num *);
1602: void subbf(Num,Num,Num *);
1603: void subcplx(Num,Num,Num *);
1604: void subm2p(VL,Q,Q,P,P,P *);
1605: void subm2q(Q,Q,Q,Q,Q *);
1606: void submat(VL,MAT,MAT,MAT *);
1607: void submp(VL,int,P,P,P *);
1608: void submq(int,MQ,MQ,MQ *);
1609: void subnum(VL,Num,Num,Num *);
1610: void subp(VL,P,P,P *);
1611: void subq(Q,Q,Q *);
1612: void subr(VL,Obj,Obj,Obj *);
1613: void subreal(Num,Num,Real *);
1614: void submi(MQ,MQ,MQ *);
1615: void sublm(LM,LM,LM *);
1616: void substmp(VL,int,P,V,P,P *);
1617: void substp(VL,P,V,P,P *);
1618: void substvp(VL,P,VN,P *);
1619: void subum(int,UM,UM,UM);
1620: void subvect(VL,VECT,VECT,VECT *);
1.19 noro 1621: void subquote(VL,QUOTE,QUOTE,QUOTE *);
1.1 noro 1622: void toreim(Num,Num *,Num *);
1623: void ucsump(P,Q *);
1624: void udivpwm(Q,P,P,P *,P *);
1625: void udivpz(P,P,P *,P *);
1626: void udivpzwm(Q,P,P,P *,P *);
1627: void uexgcdnp(VL,P,P *,int,VN,Q,P *,P *,P *,P *,Q *);
1628: void uezgcd1p(P,P,P *);
1629: void uezgcdpp(DCP,P,P *);
1630: void uezgcdpz(VL,P,P,P *);
1631: void ufctr(P,int,DCP *);
1632: void ufctrmain(P,int,DCP *);
1633: void umtomp(V,UM,P *);
1634: void umtop(V,UM,P *);
1635: void usqp(P,DCP *);
1636: void vntovl(VN,int,VL *);
1.29 noro 1637:
1638: void saveerror(FILE *,ERR);
1639: void saveui(FILE *,USINT);
1640: void savedp(FILE *,DP);
1641: void savestring(FILE *,STRING);
1642: void savemat(FILE *,MAT);
1643: void savevect(FILE *,VECT);
1644: void savelist(FILE *,LIST);
1645: void saver(FILE *,R);
1646: void savep(FILE *,P);
1647: void savegf2n(FILE *,GF2N);
1648: void savegfpn(FILE *,GFPN);
1649: void savegfs(FILE *,GFS);
1650: void savelm(FILE *,LM);
1651: void savemi(FILE *,MQ);
1652: void savecplx(FILE *,C);
1653: void savebf(FILE *,BF);
1654: void savereal(FILE *,Real);
1655: void saveq(FILE *,Q);
1656: void savenum(FILE *,Num);
1657: void savepfins(FILE *,V);
1658: void savegfmmat(FILE *,GFMMAT);
1659: void savebytearray(FILE *,BYTEARRAY);
1660: void savegfsn(FILE *,GFSN);
1661:
1662: void loaderror(FILE *,ERR *);
1663: void loadui(FILE *,USINT *);
1664: void loaddp(FILE *,DP *);
1665: void loadstring(FILE *,STRING *);
1666: void loadmat(FILE *,MAT *);
1667: void loadvect(FILE *,VECT *);
1668: void loadlist(FILE *,LIST *);
1669: void loadr(FILE *,R *);
1670: void loadp(FILE *,P *);
1671: void loadgf2n(FILE *,GF2N *);
1672: void loadgfpn(FILE *,GFPN *);
1673: void loadgfs(FILE *,GFS *);
1674: void loadgfsn(FILE *,GFSN *);
1675: void loadlm(FILE *,LM *);
1676: void loadmi(FILE *,MQ *);
1677: void loadcplx(FILE *,C *);
1678: void loadbf(FILE *,BF *);
1679: void loadreal(FILE *,Real *);
1680: void loadq(FILE *,Q *);
1681: void loadnum(FILE *,Num *);
1682: void loadgfmmat(FILE *,GFMMAT *);
1683: void loadbytearray(FILE *,BYTEARRAY *);
1684: V loadpfins(FILE *);
1685: void eucum2(int mod,UM f1,UM f2,UM a,UM b);
1686: void clearum(UM p,int n);
1687: BM BMALLOC(int dx,int dy);
1688: int isequalum(UM f1,UM f2);
1689: void dec_um(int p,int a,UM u);
1690: void setmod_sf(int p,int n);
1691: int search_defpoly_and_primitive_root(int p,int n,UM dp);
1692: void generate_defpoly_um(int p,int n,UM dp);
1693: int generate_primitive_root_enc(int p,int n,UM dp);
1694: int mulremum_enc(int p,int n,UM dp,int a,int b);
1695: void gfs_galois_action(GFS a,Q e,GFS *c);
1696: void gfs_embed(GFS z,int k,int pm,GFS *c);
1697: void qtogfs(Q a,GFS *c);
1698: void mqtogfs(MQ a,GFS *c);
1699: void gfstomq(GFS a,MQ *c);
1700: void ntogfs(Obj a,GFS *b);
1701: void addgfs(GFS a,GFS b,GFS *c);
1702: void subgfs(GFS a,GFS b,GFS *c);
1703: void mulgfs(GFS a,GFS b,GFS *c);
1704: void divgfs(GFS a,GFS b,GFS *c);
1705: void chsgngfs(GFS a,GFS *c);
1706: void pwrgfs(GFS a,Q b,GFS *c);
1707: int cmpgfs(GFS a,GFS b);
1708: void randomgfs(GFS *r);
1709: int _addsf(int a,int b);
1710: int _chsgnsf(int a);
1711: int _subsf(int a,int b);
1712: int _mulsf(int a,int b);
1713: int _invsf(int a);
1714: int _divsf(int a,int b);
1715: int _pwrsf(int a,int b);
1716: int _onesf();
1717: int _itosf(int n);
1718: int _isonesf(int a);
1719: int _randomsf();
1720: int field_order_sf();
1721: int characteristic_sf();
1722: int extdeg_sf();
1723: void addsfum(UM p1,UM p2,UM pr);
1724: void subsfum(UM p1,UM p2,UM pr);
1725: void gcdsfum(UM p1,UM p2,UM pr);
1726: void mulsfum(UM p1,UM p2,UM pr);
1727: void mulssfum(UM p,int n,UM pr);
1728: void kmulsfum(UM n1,UM n2,UM nr);
1729: void kmulsfummain(UM n1,UM n2,UM nr);
1730: int divsfum(UM p1,UM p2,UM pq);
1731: void diffsfum(UM f,UM fd);
1732: void monicsfum(UM f);
1733: int compsfum(UM a,UM b);
1734: void mulsfbm(BM f1,BM f2,BM fr);
1735: int degbm(BM f);
1736: void addtosfbm(BM f,BM g);
1737: void eucsfum(UM f1,UM f2,UM a,UM b);
1738: void shiftsfum(UM f,int a,UM g);
1739: void shiftsflum(int n,LUM f,int ev);
1740: void shiftsfbm(BM f,int a);
1741: void clearbm(int n,BM f);
1742:
1743: void ksquareum(int mod,UM n1,UM nr);
1744: void extractum(UM n,int index,int len,UM nr);
1745: void copyum(UM n1,UM n2);
1746: void c_copyum(UM n,int len,int *p);
1747: void kmulummain(int mod,UM n1,UM n2,UM nr);
1748: void ksquareummain(int mod,UM n1,UM nr);
1749:
1750: void simp_ff(Obj p,Obj *rp);
1751: void field_order_ff(N *order);
1752:
1753: void random_lm(LM *r);
1754: void ntosparsen(N p,N *bits);
1755: void setmod_lm(N p);
1756: void getmod_lm(N *p);
1757: void simplm(LM n,LM *r);
1758: void qtolm(Q q,LM *l);
1759: void addlm(LM a,LM b,LM *c);
1760: void sublm(LM a,LM b,LM *c);
1761: void mullm(LM a,LM b,LM *c);
1762: void divlm(LM a,LM b,LM *c);
1763: void chsgnlm(LM a,LM *c);
1764: void pwrlm(LM a,Q b,LM *c);
1765: void pwrlm0(N a,N n,N *c);
1766: int cmplm(LM a,LM b);
1767: void remn_special(N,N,int,unsigned int ,N *);;
1768: void gen_simpn(N a,N *b);
1769: void gen_simpn_force(N a,N *b);
1770: void setmod_gfpn(P p);
1771: void getmod_gfpn(UP *up);
1772: void ptogfpn(Obj q,GFPN *l);
1773: void gfpntop(GFPN q,P *l);
1774: void simpgfpn(GFPN n,GFPN *r);
1775: void ntogfpn(Obj a,GFPN *b);
1776: void addgfpn(GFPN a,GFPN b,GFPN *c);
1777: void subgfpn(GFPN a,GFPN b,GFPN *c);
1778: void mulgfpn(GFPN a,GFPN b,GFPN *c);
1779: void squaregfpn(GFPN a,GFPN *c);
1780: void divgfpn(GFPN a,GFPN b,GFPN *c);
1781: void invgfpn(GFPN b,GFPN *c);
1782: void chsgngfpn(GFPN a,GFPN *c);
1783: void pwrgfpn(GFPN a,Q b,GFPN *c);
1784: int cmpgfpn(GFPN a,GFPN b);
1785: void randomgfpn(GFPN *r);
1786: void setmod_gfsn(UM p);
1787: void getmod_gfsn(UM *up);
1788: void simpgfsn(GFSN n,GFSN *r);
1789: void ntogfsn(Obj a,GFSN *b);
1790: void addgfsn(GFSN a,GFSN b,GFSN *c);
1791: void subgfsn(GFSN a,GFSN b,GFSN *c);
1792: void mulgfsn(GFSN a,GFSN b,GFSN *c);
1793: void divgfsn(GFSN a,GFSN b,GFSN *c);
1794: void invgfsn(GFSN b,GFSN *c);
1795: void chsgngfsn(GFSN a,GFSN *c);
1796: void pwrgfsn(GFSN a,Q b,GFSN *c);
1797: int cmpgfsn(GFSN a,GFSN b);
1798: void randomgfsn(GFSN *r);
1799: void setmod_gf2n(P p);
1800: void getmod_gf2n(UP2 *p);
1801: void simpgf2n(GF2N n,GF2N *r);
1802: void ptogf2n(Obj q,GF2N *l);
1803: void gf2ntop(GF2N q,P *l);
1804: void gf2ntovect(GF2N q,VECT *l);
1805: void addgf2n(GF2N a,GF2N b,GF2N *c);
1806: void subgf2n(GF2N a,GF2N b,GF2N *c);
1807: void mulgf2n(GF2N a,GF2N b,GF2N *c);
1808: void squaregf2n(GF2N a,GF2N *c);
1809: void divgf2n(GF2N a,GF2N b,GF2N *c);
1810: void invgf2n(GF2N b,GF2N *c);
1811: void chsgngf2n(GF2N a,GF2N *c);
1812: void pwrgf2n(GF2N a,Q b,GF2N *c);
1813: int cmpgf2n(GF2N a,GF2N b);
1814: void randomgf2n(GF2N *r);
1815: void binaryton(char *binary,N *np);
1816: void hexton(char *hex,N *np);
1817: void ntobn(int base,N n,N *nrp);
1818: void bnton(int base,N n,N *nrp);
1819: void ptomp(int m,P p,P *pr);
1820: void mptop(P f,P *gp);
1821: void ptosfp(P p,P *pr);
1822: void sfptop(P f,P *gp);
1823: void sf_galois_action(P p,Q e,P *pr);
1824: void sf_embed(P p,int k,int pm,P *pr);
1825: void ptolmp(P p,P *pr);
1826: void lmptop(P f,P *gp);
1827: void ptoum(int m,P f,UM wf);
1828: void umtop(V v,UM w,P *f);
1829: void ptosfum(P f,UM wf);
1830: void sfumtop(V v,UM w,P *f);
1831: void ptoup(P n,UP *nr);
1832: void uptop(UP n,P *nr);
1833: void ulmptoum(int m,UP f,UM wf);
1834: void objtobobj(int base,Obj p,Obj *rp);
1835: void bobjtoobj(int base,Obj p,Obj *rp);
1836: void numtobnum(int base,Num p,Num *rp);
1837: void bnumtonum(int base,Num p,Num *rp);
1838: void ptobp(int base,P p,P *rp);
1839: void bptop(int base,P p,P *rp);
1840: void listtoblist(int base,LIST p,LIST *rp);
1841: void blisttolist(int base,LIST p,LIST *rp);
1842: void vecttobvect(int base,VECT p,VECT *rp);
1843: void bvecttovect(int base,VECT p,VECT *rp);
1844: void mattobmat(int base,MAT p,MAT *rp);
1845: void bmattomat(int base,MAT p,MAT *rp);
1846: void n32ton27(N g,N *rp);
1847: void n27ton32(N a,N *rp);
1848: void mptoum(P p,UM pr);
1849: void umtomp(V v,UM p,P *pr);
1850: void enc_to_p(int p,int a,V v,P *pr);
1851: int comp_dum(DUM a,DUM b);
1852: void fctrsf(P p,DCP *dcp);
1853: void gensqfrsfum(UM p,struct oDUM *dc);
1854: void randsfum(int d,UM p);
1855: void pwrmodsfum(UM p,int e,UM f,UM pr);
1856: void spwrsfum(UM m,UM f,N e,UM r);
1857: void tracemodsfum(UM m,UM f,int e,UM r);
1858: void make_qmatsf(UM p,UM *tab,int ***mp);
1859: void nullsf(int **mat,int n,int *ind);
1860: void null_to_solsf(int **mat,int *ind,int n,UM *r);
1861: void czsfum(UM f,UM *r);
1862: int berlekampsf(UM p,int df,UM *tab,UM *r);
1863: void minipolysf(UM f,UM p,UM mp);
1864: int find_rootsf(UM p,int *root);
1865: void canzassf(UM f,int d,UM *r);
1.30 noro 1866: void sfhensel(int count,P f,V x,int degbound,GFS *evp,P *sfp,ML *listp);
1.29 noro 1867: int sfberle(VL vl,P f,int count,GFS *ev,DCP *dcp);
1868: void sfgcdgen(P f,ML blist,ML *clistp);
1869: void sfhenmain2(BM f,UM g0,UM h0,int dy,BM *gp);
1870: void ptosfbm(int dy,P f,BM fl);
1871: void sfbmtop(BM f,V x,V y,P *fp);
1872: void sfsqfr(P f,DCP *dcp);
1873: void sfusqfr(P f,DCP *dcp);
1874: void sfbsqfr(P f,V x,V y,DCP *dcp);
1.30 noro 1875: void sfbfctr(P f,V x,V y,int degbound,DCP *dcp);
1.29 noro 1876: void sfdtest(P f,ML list,V x,V y,DCP *dcp);
1877: int sfdtestmain(VL vl,P lcg,UM lcg0,BM lcy,P csum,ML list,
1878: int k,int *in,P *fp,P *cofp);
1879: void const_term(P f,UM c);
1880: void const_term_sfbm(BM f,UM c);
1881: int sfctest(UM lcg0,BM lcy,ML list,int k,int *in);
1882: void mulsfbmarray(int dx,BM lcy,ML list,int k,int *in,V x,V y,P *g);
1883: void sfcsump(VL vl,P f,P *s);
1884: void cont_pp_sfp(VL vl,P f,P *cp,P *fp);
1885: int divtp_by_sfbm(VL vl,P f,P g,P *qp);
1886: void generate_defpoly_sfum(int n,UM *dp);
1887: NODE symb_merge(NODE,NODE,int);
1888: void _free_private_storage();
1889: void _DL_alloc();
1890: void _MP_alloc();
1891: void _DP_alloc();
1892: void _addmd_destructive(int mod,DP p1,DP p2,DP *pr);
1893: void _mulmd_dup(int mod,DP p1,DP p2,DP *pr);
1894: void _comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
1895: void _weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
1896: void _mulmdm_dup(int mod,DP p,MP m0,DP *pr);
1897: void _weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr);
1898: void _weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen);
1899: void _comm_mulmd_tab(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1,struct cdlm *rt);
1900: void _comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1);
1901: void dlto_dl(DL d,DL *dr);
1902: void _dltodl(DL d,DL *dr);
1903: void _adddl_dup(int n,DL d1,DL d2,DL *dr);
1904: void _free_dlarray(DL *a,int n);
1905: void _free_dp(DP f);
1906: void dpto_dp(DP p,DP *r);
1907: void _dptodp(DP p,DP *r);
1908: NODE _symb_merge(NODE m1,NODE m2,int n);
1909: void _addd_destructive(VL vl,DP p1,DP p2,DP *pr);
1910: void _muld_dup(VL vl,DP p1,DP p2,DP *pr);
1911: void _comm_muld_dup(VL vl,DP p1,DP p2,DP *pr);
1912: void _weyl_muld_dup(VL vl,DP p1,DP p2,DP *pr);
1913: void _muldm_dup(VL vl,DP p,MP m0,DP *pr);
1914: void _weyl_muldm_dup(VL vl,MP m0,DP p,DP *pr);
1915: void _weyl_mulmm_dup(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen);
1916: void _comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt);
1917: void _comm_muld_tab_destructive(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1);
1918:
1919: int has_fcoef(DP f);
1920: int has_fcoef_p(P f);
1921: void initd(struct order_spec *spec);
1922: void ptod(VL vl,VL dvl,P p,DP *pr);
1923: void dtop(VL vl,VL dvl,DP p,P *pr);
1924: void nodetod(NODE node,DP *dp);
1925: int sugard(MP m);
1926: void addd(VL vl,DP p1,DP p2,DP *pr);
1927: void symb_addd(DP p1,DP p2,DP *pr);
1928: NODE symb_merge(NODE m1,NODE m2,int n);
1929: DLBUCKET symb_merge_bucket(DLBUCKET m1,DLBUCKET m2,int n);
1930: void subd(VL vl,DP p1,DP p2,DP *pr);
1931: void chsgnd(DP p,DP *pr);
1932: void muld(VL vl,DP p1,DP p2,DP *pr);
1933: void comm_muld(VL vl,DP p1,DP p2,DP *pr);
1934: void muldm(VL vl,DP p,MP m0,DP *pr);
1935: void weyl_muld(VL vl,DP p1,DP p2,DP *pr);
1936: void weyl_muldm(VL vl,MP m0,DP p,DP *pr);
1937: void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen);
1938: void comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt);
1939: void muldc(VL vl,DP p,P c,DP *pr);
1940: void divsdc(VL vl,DP p,P c,DP *pr);
1941: void adddl(int n,DL d1,DL d2,DL *dr);
1942: void adddl_destructive(int n,DL d1,DL d2);
1943: int compd(VL vl,DP p1,DP p2);
1944: int cmpdl_lex(int n,DL d1,DL d2);
1945: int cmpdl_revlex(int n,DL d1,DL d2);
1946: int cmpdl_gradlex(int n,DL d1,DL d2);
1947: int cmpdl_revgradlex(int n,DL d1,DL d2);
1948: int cmpdl_blex(int n,DL d1,DL d2);
1949: int cmpdl_bgradlex(int n,DL d1,DL d2);
1950: int cmpdl_brevgradlex(int n,DL d1,DL d2);
1951: int cmpdl_brevrev(int n,DL d1,DL d2);
1952: int cmpdl_bgradrev(int n,DL d1,DL d2);
1953: int cmpdl_blexrev(int n,DL d1,DL d2);
1954: int cmpdl_elim(int n,DL d1,DL d2);
1955: int cmpdl_weyl_elim(int n,DL d1,DL d2);
1956: int cmpdl_homo_ww_drl(int n,DL d1,DL d2);
1957: int cmpdl_order_pair(int n,DL d1,DL d2);
1958: int cmpdl_matrix(int n,DL d1,DL d2);
1959: void ptomd(VL vl,int mod,VL dvl,P p,DP *pr);
1960: void mptomd(VL vl,int mod,VL dvl,P p,DP *pr);
1961: void mdtop(VL vl,int mod,VL dvl,DP p,P *pr);
1962: void addmd(VL vl,int mod,DP p1,DP p2,DP *pr);
1963: void submd(VL vl,int mod,DP p1,DP p2,DP *pr);
1964: void chsgnmd(int mod,DP p,DP *pr);
1965: void mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
1966: void comm_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
1967: void weyl_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
1968: void mulmdm(VL vl,int mod,DP p,MP m0,DP *pr);
1969: void weyl_mulmdm(VL vl,int mod,DP p,MP m0,DP *pr);
1970: void weyl_mulmmm(VL vl,int mod,MP m0,MP m1,int n,DP *pr);
1971: void mulmdc(VL vl,int mod,DP p,P c,DP *pr);
1972: void divsmdc(VL vl,int mod,DP p,P c,DP *pr);
1973: void _dtop_mod(VL vl,VL dvl,DP p,P *pr);
1974: void _dp_mod(DP p,int mod,NODE subst,DP *rp);
1975: void _dp_monic(DP p,int mod,DP *rp);
1976: void _printdp(DP d);
1977: void addmd_destructive(int mod,DP p1,DP p2,DP *pr);
1978: void mulmd_dup(int mod,DP p1,DP p2,DP *pr);
1979: void comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
1980: void weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
1981: void mulmdm_dup(int mod,DP p,MP m0,DP *pr);
1982: void weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr);
1983: void weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen);
1984: void comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1);
1985: void adddl_dup(int n,DL d1,DL d2,DL *dr);
1986: void monicup(UP a,UP *b);
1987: void simpup(UP a,UP *b);
1988: void simpnum(Num a,Num *b);
1989: void uremp(P p1,P p2,P *rp);
1990: void ugcdp(P p1,P p2,P *rp);
1991: void reversep(P p1,Q d,P *rp);
1992: void invmodp(P p1,Q d,P *rp);
1993: void addup(UP n1,UP n2,UP *nr);
1994: void subup(UP n1,UP n2,UP *nr);
1995: void chsgnup(UP n1,UP *nr);
1996: void hybrid_mulup(int ff,UP n1,UP n2,UP *nr);
1997: void hybrid_squareup(int ff,UP n1,UP *nr);
1998: void hybrid_tmulup(int ff,UP n1,UP n2,int d,UP *nr);
1999: void mulup(UP n1,UP n2,UP *nr);
2000: void mulcup(Num c,UP n1,UP *nr);
2001: void tmulup(UP n1,UP n2,int d,UP *nr);
2002: void squareup(UP n1,UP *nr);
2003: void remup(UP n1,UP n2,UP *nr);
2004: void remup_destructive(UP n1,UP n2);
2005: void qrup(UP n1,UP n2,UP *nq,UP *nr);
2006: void qrup_destructive(UP n1,UP n2);
2007: void gcdup(UP n1,UP n2,UP *nr);
2008: void extended_gcdup(UP a,UP m,UP *r);
2009: void reverseup(UP n1,int d,UP *nr);
2010: void invmodup(UP n1,int d,UP *nr);
2011: void pwrup(UP n,Q e,UP *nr);
2012: int compup(UP n1,UP n2);
2013: void kmulp(VL vl,P n1,P n2,P *nr);
2014: void ksquarep(VL vl,P n1,P *nr);
2015: void kmulup(UP n1,UP n2,UP *nr);
2016: void ksquareup(UP n1,UP *nr);
2017: void copyup(UP n1,UP n2);
2018: void c_copyup(UP n,int len,pointer *p);
2019: void kmulupmain(UP n1,UP n2,UP *nr);
2020: void ksquareupmain(UP n1,UP *nr);
2021: void rembymulup(UP n1,UP n2,UP *nr);
2022: void hybrid_rembymulup_special(int ff,UP n1,UP n2,UP inv2,UP *nr);
2023: void rembymulup_special(UP n1,UP n2,UP inv2,UP *nr);
2024: void tkmulup(UP n1,UP n2,int d,UP *nr);
2025: void shiftup(UP n,int d,UP *nr);
2026: void fft_rembymulup_special(UP n1,UP n2,UP inv2,UP *nr);
2027: void set_degreeup(UP n,int d);
2028: void decompup(UP n,int d,UP *n0,UP *n1);
2029: void truncup(UP n1,int d,UP *nr);
2030: int int_bits(int t);
2031: int maxblenup(UP n);
2032: void uptofmarray(int mod,UP n,ModNum *f);
2033: void fmarraytoup(ModNum *f,int d,UP *nr);
2034: void uiarraytoup(unsigned int **f,int n,int d,UP *nr);
2035: void adj_coefup(UP n,N m,N m2,UP *nr);
2036: void remcup(UP n,N mod,UP *nr);
2037: void fft_mulup(UP n1,UP n2,UP *nr);
2038: void trunc_fft_mulup(UP n1,UP n2,int dbd,UP *nr);
2039: void fft_squareup(UP n1,UP *nr);
2040: void fft_mulup_main(UP n1,UP n2,int dbd,UP *nr);
2041: void crup(ModNum **f,int d,int *mod,int index,N m,UP *r);
2042: void fft_mulup_specialmod_main(UP n1,UP n2,int dbd,int *modind,int nmod,UP *nr);
2043: void divn(N n1,N n2,N *nq,N *nr);
2044: void divsn(N n1,N n2,N *nq);
2045: void remn(N n1,N n2,N *nr);
2046: void remn_special(N a,N d,int bits,unsigned int lower,N *b);
2047: void mulin(N n,unsigned int d,unsigned int *p);
2048: unsigned int divin(N n,unsigned int dvr,N *q);
2049: void bprintn(N n);
2050: void bxprintn(N n);
2051: void muln(N n1,N n2,N *nr);
2052: void _muln(N n1,N n2,N nr);
2053: void muln_1(unsigned int *p,int s,unsigned int d,unsigned int *r);
2054: void divnmain(int d1,int d2,unsigned int *m1,unsigned int *m2,unsigned int *q);
2055: void divnmain_special(int d1,int d2,unsigned int *m1,unsigned int *m2,unsigned int *q);
2056: unsigned int divn_1(unsigned int *p,int s,unsigned int d,unsigned int *r);
2057: void addn(N n1,N n2,N *nr);
2058: int subn(N n1,N n2,N *nr);
2059: void _addn(N n1,N n2,N nr);
2060: int _subn(N n1,N n2,N nr);
2061: void addarray_to(unsigned int *a1,int n1,unsigned int *a2,int n2);
2062: void pwrn(N n,int e,N *nr);
2063: void gcdn(N n1,N n2,N *nr);
2064: void gcdEuclidn(N n1,N n2,N *nr);
2065: int cmpn(N n1,N n2);
2066: void bshiftn(N n,int b,N *r);
2067: void shiftn(N n,int w,N *r);
2068: void randomn(int bits,N *r);
2069: void freen(N n);
2070: int n_bits(N n);
2071: void fft_mulup_lm(UP n1,UP n2,UP *nr);
2072: void fft_squareup_lm(UP n1,UP *nr);
2073: void trunc_fft_mulup_lm(UP n1,UP n2,int dbd,UP *nr);
2074: void crup_lm(ModNum **f,int d,int *mod,int index,N m,N lm_mod,UP *r);
2075: void fft_rembymulup_special_lm(UP n1,UP n2,UP inv2,UP *nr);
2076: void uptolmup(UP n,UP *nr);
2077: void save_up(UP obj,char *name);
2078: void hybrid_powermodup(UP f,UP *xp);
2079: void powermodup(UP f,UP *xp);
2080: void hybrid_generic_powermodup(UP g,UP f,Q d,UP *xp);
2081: void generic_powermodup(UP g,UP f,Q d,UP *xp);
2082: void hybrid_powertabup(UP f,UP xp,UP *tab);
2083: void powertabup(UP f,UP xp,UP *tab);
2084: void squarep_gf2n(VL vl,P n1,P *nr);
2085: void squareup_gf2n(UP n1,UP *nr);
2086: void powermodup_gf2n(UP f,UP *xp);
2087: void generic_powermodup_gf2n(UP g,UP f,Q d,UP *xp);
2088: void tracemodup_gf2n(UP g,UP f,Q d,UP *xp);
2089: void tracemodup_gf2n_slow(UP g,UP f,Q d,UP *xp);
2090: void tracemodup_gf2n_tab(UP g,UP f,Q d,UP *xp);
2091: void square_rem_tab_up_gf2n(UP f,UP *tab,UP *rp);
2092: void powertabup_gf2n(UP f,UP xp,UP *tab);
2093: void find_root_gf2n(UP f,GF2N *r);
2094: void ptoup2(P n,UP2 *nr);
2095: void ptoup2_sparse(P n,UP2 *nr);
2096: void up2top(UP2 n,P *nr);
2097: void up2tovect(UP2 n,VECT *nr);
2098: void up2ton(UP2 p,Q *n);
2099: void ntoup2(Q n,UP2 *p);
2100: void gen_simpup2(UP2 p,GEN_UP2 m,UP2 *r);
2101: void gen_simpup2_destructive(UP2 p,GEN_UP2 m);
2102: void gen_invup2(UP2 p,GEN_UP2 m,UP2 *r);
2103: void gen_pwrmodup2(UP2 a,Q b,GEN_UP2 m,UP2 *c);
2104: void simpup2(UP2 p,UP2 m,UP2 *r);
2105: int degup2(UP2 a);
2106: int degup2_sparse(UP2 a);
2107: int degup2_1(unsigned int a);
2108: void addup2(UP2 a,UP2 b,UP2 *c);
2109: void subup2(UP2 a,UP2 b,UP2 *c);
2110: void _mulup2_1(UP2 a,unsigned int b,UP2 c);
2111: void _mulup2_h(UP2 a,unsigned int b,UP2 c);
2112: void mulup2(UP2 a,UP2 b,UP2 *c);
2113: void _kmulup2_(unsigned int *a,unsigned int *b,int w,unsigned int *c);
2114: void _mulup2_nn(unsigned int *a,unsigned int *b,int w,unsigned int *c);
2115: void _mulup2(UP2 a,UP2 b,UP2 c);
2116: void _mulup2_(_UP2 a,_UP2 b,_UP2 c);
2117: void squareup2(UP2 n,UP2 *nr);
2118: void _squareup2(UP2 n,UP2 nr);
2119: void _adjup2(UP2 n);
2120: void _adjup2_(_UP2 n);
2121: void _addup2(UP2 a,UP2 b,UP2 c);
2122: void _addup2_destructive(UP2 a,UP2 b);
2123: void _addup2_(_UP2 a,_UP2 b,_UP2 c);
2124: void _addtoup2_(_UP2 a,_UP2 b);
2125: unsigned int mulup2_bb(unsigned int a,unsigned int b);
2126: void init_up2_tab();
2127: void divup2_1(unsigned int a1,unsigned int a2,int e1,int e2,unsigned int *qp,unsigned int *rp);
2128: void qrup2(UP2 a,UP2 b,UP2 *q,UP2 *r);
2129: void _qrup2(UP2 a,UP2 b,UP2 q,UP2 r);
2130: void remup2(UP2 a,UP2 b,UP2 *c);
2131: void _remup2(UP2 a,UP2 b,UP2 c);
2132: void remup2_sparse(UP2 a,UP2 b,UP2 *c);
2133: void remup2_sparse_destructive(UP2 a,UP2 b);
2134: void remup2_type1_destructive(UP2 a,int d);
2135: void remup2_3_destructive(UP2 a,UP2 b);
2136: void remup2_5_destructive(UP2 a,UP2 b);
2137: void _invup2_1(unsigned int f1,unsigned int f2,unsigned int *a1,unsigned int *b1);
2138: void _gcdup2_1(unsigned int f1,unsigned int f2,unsigned int *gcd);
2139: void up2_init_eg();
2140: void up2_show_eg();
2141: void invup2(UP2 a,UP2 m,UP2 *inv);
2142: void gcdup2(UP2 a,UP2 m,UP2 *gcd);
2143: void chsgnup2(UP2 a,UP2 *c);
2144: void pwrmodup2(UP2 a,Q b,UP2 m,UP2 *c);
2145: void pwrmodup2_sparse(UP2 a,Q b,UP2 m,UP2 *c);
2146: int compup2(UP2 n1,UP2 n2);
2147: void _copyup2(UP2 n,UP2 r);
2148: void _bshiftup2(UP2 n,int b,UP2 r);
2149: void _bshiftup2_destructive(UP2 n,int b);
2150: void diffup2(UP2 f,UP2 *r);
2151: int sqfrcheckup2(UP2 f);
2152: int irredcheckup2(UP2 f);
2153: int irredcheck_dddup2(UP2 f);
2154: void _copy_up2bits(UP2 p,unsigned int **mat,int pos);
2155: int compute_multiplication_matrix(P p0,GF2MAT *mp);
2156: void compute_change_of_basis_matrix(P p0,P p1,int to,GF2MAT *m01,GF2MAT *m10);
2157: void compute_change_of_basis_matrix_with_root(P p0,P p1,int to,GF2N root,GF2MAT *m01,GF2MAT *m10);
2158: int compute_representation_conversion_matrix(P p0,GF2MAT *np,GF2MAT *pn);
2159: void mul_nb(GF2MAT mat,unsigned int *a,unsigned int *b,unsigned int *c);
2160: void leftshift(unsigned int *a,int n);
2161: void mat_to_gf2mat(MAT a,unsigned int ***b);
2162: void gf2mat_to_mat(unsigned int **a,int n,MAT *b);
2163: void mulgf2mat(int n,unsigned int **a,unsigned int **b,unsigned int **c);
2164: void mulgf2vectmat(int n,unsigned int *a,unsigned int **b,unsigned int *c);
2165: int mulgf2vectvect(int n,unsigned int *a,unsigned int *b);
2166: int invgf2mat(int n,unsigned int **a,unsigned int **b);
2167: void _mulup2_22(unsigned int *a1,unsigned int *a2,unsigned int *ar);
2168: void _mulup2_33(unsigned int *a1,unsigned int *a2,unsigned int *ar);
2169: void _mulup2_44(unsigned int *a1,unsigned int *a2,unsigned int *ar);
2170: void _mulup2_55(unsigned int *a1,unsigned int *a2,unsigned int *ar);
2171: void _mulup2_66(unsigned int *a1,unsigned int *a2,unsigned int *ar);
2172: void type1_bin_invup2(UP2 a,int n,UP2 *inv);
2173: UP2 *compute_tab_gf2n(UP2 f);
2174: UP compute_trace_gf2n(UP2 *tab,GF2N c,int n);
2175: void up2toup(UP2 f,UP *r);
2176: void find_root_up2(UP2 f,GF2N *r);
2177: void addq(Q n1,Q n2,Q *nr);
2178: void subq(Q n1,Q n2,Q *nr);
2179: void mulq(Q n1,Q n2,Q *nr);
2180: void divq(Q n1,Q n2,Q *nq);
2181: void divsq(Q n1,Q n2,Q *nq);
2182: void invq(Q n,Q *nr);
2183: void chsgnq(Q n,Q *nr);
2184: void pwrq(Q n1,Q n,Q *nr);
2185: int cmpq(Q q1,Q q2);
2186: void remq(Q n,Q m,Q *nr);
2187: void mkbc(int n,Q *t);
2188: void mkwc(int k,int l,Q *t);
2189: void mkwcm(int k,int l,int m,int *t);
2190: void factorial(int n,Q *r);
2191: void invl(Q a,Q mod,Q *ar);
2192: void kmuln(N n1,N n2,N *nr);
2193: void extractn(N n,int index,int len,N *nr);
2194: void copyn(N n,int len,int *p);
2195: void dupn(N n,N p);
2196: void kmulnmain(N n1,N n2,N *nr);
2197: void plisttop(P *f,V v,int n,P *gp);
2198: int divtp(VL vl,P p1,P p2,P *q);
2199: int divtdcp(VL vl,P p1,P p2,P *q);
2200: int divtpz(VL vl,P p1,P p2,P *q);
2201: int divtdcpz(VL vl,P p1,P p2,P *q);
2202: void udivpz(P f1,P f2,P *fqp,P *frp);
2203: void udivpwm(Q mod,P p1,P p2,P *q,P *r);
2204: void udivpzwm(Q mod,P f1,P f2,P *fqp,P *frp);
2205: void henmv(VL vl,VN vn,P f,P g0,P h0,P a0,P b0,P lg,P lh,P lg0,P lh0,Q q,int k,P *gp,P *hp);
2206: void henmvmain(VL vl,VN vn,P f,P fi0,P fi1,P gi0,P gi1,P l0,P l1,Q mod,Q mod2,int k,P *fr0,P *fr1);
2207: void henzq(P f,P i0,UM fi0,P i1,UM fi1,int p,int k,P *fr0p,P *fr1p,P *gr0p,P *gr1p,Q *qrp);
2208: void henzq1(P g,P h,Q bound,P *gcp,P *hcp,Q *qp);
2209: void addm2p(VL vl,Q mod,Q mod2,P n1,P n2,P *nr);
2210: void subm2p(VL vl,Q mod,Q mod2,P n1,P n2,P *nr);
2211: void mulm2p(VL vl,Q mod,Q mod2,P n1,P n2,P *nr);
2212: void cmp(Q mod,P p,P *pr);
2213: void cm2p(Q mod,Q m,P p,P *pr);
2214: void addm2q(Q mod,Q mod2,Q n1,Q n2,Q *nr);
2215: void subm2q(Q mod,Q mod2,Q n1,Q n2,Q *nr);
2216: void mulm2q(Q mod,Q mod2,Q n1,Q n2,Q *nr);
2217: void rem2q(Q n,Q m,Q m2,Q *nr);
2218: void exthpc_generic(VL vl,P p,int d,V v,P *pr);
2219: void exthp(VL vl,P p,int d,P *pr);
2220: void exthpc(VL vl,V v,P p,int d,P *pr);
2221: void cbound(VL vl,P p,Q *b);
2222: int geldb(VL vl,P p);
2223: int getdeg(V v,P p);
2224: void cmax(P p,Q *b);
2225: int nextbin(VN vn,int n);
2226: void mulsgn(VN vn,VN vnt,int n,VN vn1);
2227: void next(VN vn);
2228: void clctv(VL vl,P p,VL *nvlp);
2229: void markv(VN vn,int n,P p);
2230: void vntovl(VN vn,int n,VL *vlp);
2231: int dbound(V v,P f);
2232: int homdeg(P f);
2233: int minhomdeg(P f);
2234: void adjc(VL vl,P f,P a,P lc0,Q q,P *fr,P *ar);
2235: void affinemain(VL vl,P p,V v0,int n,P *pl,P *pr);
2236: void restore(VL vl,P f,VN vn,P *fr);
2237: void mergev(VL vl,VL vl1,VL vl2,VL *nvlp);
2238: void substvp(VL vl,P f,VN vn,P *g);
2239: void affine(VL vl,P f,VN vn,P *fr);
2240: void addnum(VL vl,Num a,Num b,Num *c);
2241: void subnum(VL vl,Num a,Num b,Num *c);
2242: void mulnum(VL vl,Num a,Num b,Num *c);
2243: void divnum(VL vl,Num a,Num b,Num *c);
2244: void pwrnum(VL vl,Num a,Num b,Num *c);
2245: void chsgnnum(Num a,Num *c);
2246: int compnum(VL vl,Num a,Num b);
2247: void one_ff(Num *c);
2248: int negative_number(Num c);
2249: void simp_ff(Obj p,Obj *rp);
2250: void field_order_ff(N *order);
2251: int fft_available(int d1,int n1,int d2,int n2);
2252: void get_fft_prime(int index,int *p,int *d);
2253: void nglob_init();
2254: void get_eg(struct oEGT *p);
2255: void init_eg(struct oEGT *eg);
2256: void add_eg(struct oEGT *base,struct oEGT *start,struct oEGT *end);
2257: void print_eg(char *item,struct oEGT *eg);
2258: void print_split_eg(struct oEGT *start,struct oEGT *end);
2259: void print_split_e(struct oEGT *start,struct oEGT *end);
2260: void suspend_timer() ;
2261: void resume_timer() ;
2262: void reset_engine() ;
2263: unsigned int get_asir_version() ;
2264: char *get_asir_distribution();
2265: void create_error(ERR *err,unsigned int serial,char *msg);
2266: void init_lprime();
2267: int get_lprime(int index);
2268: void create_new_lprimes(int index);
2269: void reorderp(VL nvl,VL ovl,P p,P *pr);
2270: void substp(VL vl,P p,V v0,P p0,P *pr);
2271: void detp(VL vl,P **rmat,int n,P *dp);
2272: void invmatp(VL vl,P **rmat,int n,P ***imatp,P *dnp);
2273: void reordvar(VL vl,V v,VL *nvlp);
2274: void gcdprsp(VL vl,P p1,P p2,P *pr);
2275: void gcdcp(VL vl,P p,P *pr);
2276: void sprs(VL vl,V v,P p1,P p2,P *pr);
2277: void resultp(VL vl,V v,P p1,P p2,P *pr);
2278: void srch2(VL vl,V v,P p1,P p2,P *pr);
2279: void srcr(VL vl,V v,P p1,P p2,P *pr);
2280: void res_ch_det(VL vl,V v,P p1,P p2,P *pr);
2281: void res_detmp(VL vl,int mod,V v,P p1,P p2,P *dp);
2282: void premp(VL vl,P p1,P p2,P *pr);
2283: void ptozp0(P p,P *pr);
2284: void mindegp(VL vl,P p,VL *mvlp,P *pr);
2285: void maxdegp(VL vl,P p,VL *mvlp,P *pr);
2286: void min_common_vars_in_coefp(VL vl,P p,VL *mvlp,P *pr);
2287: void minlcdegp(VL vl,P p,VL *mvlp,P *pr);
2288: void sort_by_deg(int n,P *p,P *pr);
2289: void sort_by_deg_rev(int n,P *p,P *pr);
2290: void getmindeg(V v,P p,Q *dp);
2291: void minchdegp(VL vl,P p,VL *mvlp,P *pr);
2292: int getchomdeg(V v,P p);
2293: int getlchomdeg(V v,P p,int *d);
2294: int nmonop(P p);
2295: int qpcheck(Obj p);
2296: int uzpcheck(Obj p);
2297: int p_mag(P p);
2298: int maxblenp(P p);
2299: void berle(int index,int count,P f,ML *listp);
2300: int berlecnt(int mod,UM f);
2301: int berlecntmain(int mod,int n,int m,int **c);
2302: UM *berlemain(int mod,UM f,UM *fp);
2303: void hensel(int index,int count,P f,ML *listp);
2304: void hensel2(int index,int count,P f,ML *listp);
2305: void henmain2(LUM f,UM g0,UM h0,UM a0,UM b0,int m,int bound,LUM *gp);
2306: void clearlum(int n,int bound,LUM f);
2307: void addtolum(int m,int bound,LUM f,LUM g);
2308: void hsq(int index,int count,P f,int *nindex,DCP *dcp);
2309: void gcdgen(P f,ML blist,ML *clistp);
2310: void henprep2(int mod,int q,int k,UM f,UM g,UM h,UM qg,UM qh,UM qa,UM qb);
2311: void henprep(P f,ML blist,ML clist,ML *bqlistp,ML *cqlistp);
2312: void henmain(LUM f,ML bqlist,ML cqlist,ML *listp);
2313: int mignotte(int q,P f);
2314: int mig(int q,int d,P f);
2315: void sqad(unsigned int man,int exp);
2316: void ptolum(int q,int bound,P f,LUM fl);
2317: void modfctrp(P p,int mod,int flag,DCP *dcp);
2318: void gensqfrum(int mod,UM p,struct oDUM *dc);
2319: void ddd(int mod,UM f,UM *r);
2320: void canzas(int mod,UM f,int d,UM *base,UM *r);
2321: void randum(int mod,int d,UM p);
2322: void pwrmodum(int mod,UM p,int e,UM f,UM pr);
2323: void spwrum(int mod,UM m,UM *base,UM f,N e,UM r);
2324: void spwrum0(int mod,UM m,UM f,N e,UM r);
2325: void mult_mod_tab(UM p,int mod,UM *tab,UM r,int d);
2326: void make_qmat(UM p,int mod,UM *tab,int ***mp);
2327: void null_mod(int **mat,int mod,int n,int *ind);
2328: void null_to_sol(int **mat,int *ind,int mod,int n,UM *r);
2329: void newddd(int mod,UM f,UM *r);
2330: int nfctr_mod(UM f,int mod);
2331: int irred_check(UM f,int mod);
2332: int berlekamp(UM p,int mod,int df,UM *tab,UM *r);
2333: void minipoly_mod(int mod,UM f,UM p,UM mp);
2334: void lnf_mod(int mod,int n,UM p0,UM p1,struct p_pair *list,UM np0,UM np1);
2335: void showum(UM p);
2336: void showumat(int **mat,int n);
2337: int find_root(int mod,UM p,int *root);
2338: void fctrp(VL vl,P f,DCP *dcp);
2339: void fctr_wrt_v_p(VL vl,P f,V v,DCP *dcp);
2340: void homfctr(VL vl,P g,DCP *dcp);
2341: void mfctr(VL vl,P f,DCP *dcp);
2342: void mfctr_wrt_v(VL vl,P f,V v,DCP *dcp);
2343: void adjsgn(P p,DCP dc);
2344: int headsgn(P p);
2345: void fctrwithmvp(VL vl,P f,V v,DCP *dcp);
2346: void mfctrwithmv(VL vl,P f,V v,DCP *dcp);
2347: void ufctr(P f,int hint,DCP *dcp);
2348: void mfctrmain(VL vl,P p,DCP *dcp);
2349: void ufctrmain(P p,int hint,DCP *dcp);
2350: void cycm(V v,int n,DCP *dcp);
2351: void cycp(V v,int n,DCP *dcp);
2352: void calcphi(V v,int n,struct oMF *mfp);
2353: void mkssum(V v,int e,int s,int sgn,P *r);
2354: int iscycp(P f);
2355: int iscycm(P f);
2356: void sortfs(DCP *dcp);
2357: void sortfsrev(DCP *dcp);
2358: void nthrootchk(P f,struct oDUM *dc,ML fp,DCP *dcp);
2359: void sqfrp(VL vl,P f,DCP *dcp);
2360: void msqfr(VL vl,P f,DCP *dcp);
2361: void usqp(P f,DCP *dcp);
2362: void msqfrmain(VL vl,P p,DCP *dcp);
2363: void msqfrmainmain(VL vl,P p,VN vn,P p0,DCP dc0,DCP *dcp,P *pp);
2364: void mfctrhen2(VL vl,VN vn,P f,P f0,P g0,P h0,P lcg,P lch,P *gp);
2365: int sqfrchk(P p);
2366: int cycchk(P p);
2367: int zerovpchk(VL vl,P p,VN vn);
2368: int valideval(VL vl,DCP dc,VN vn);
2369: void estimatelc(VL vl,Q c,DCP dc,VN vn,P *lcp);
2370: void monomialfctr(VL vl,P p,P *pr,DCP *dcp);
2371: void afctr(VL vl,P p0,P p,DCP *dcp);
2372: void afctrmain(VL vl,P p0,P p,int init,DCP *dcp);
2373: int divtmp(VL vl,int mod,P p1,P p2,P *q);
2374: int divtdcmp(VL vl,int mod,P p1,P p2,P *q);
2375: void GC_gcollect();
1.1 noro 2376:
2377: #if 0 && !defined(VISUAL)
2378: void bzero(const void *,int);
2379: void bcopy(const void *,void *,int);
2380: char *index(char *,int);
2381: #endif
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