[BACK]Return to ca.h CVS log [TXT][DIR] Up to [local] / OpenXM_contrib2 / asir2018 / include

Annotation of OpenXM_contrib2/asir2018/include/ca.h, Revision 1.1

1.1     ! noro        1: /*
        !             2:  * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
        !             3:  * All rights reserved.
        !             4:  *
        !             5:  * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
        !             6:  * non-exclusive and royalty-free license to use, copy, modify and
        !             7:  * redistribute, solely for non-commercial and non-profit purposes, the
        !             8:  * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
        !             9:  * conditions of this Agreement. For the avoidance of doubt, you acquire
        !            10:  * only a limited right to use the SOFTWARE hereunder, and FLL or any
        !            11:  * third party developer retains all rights, including but not limited to
        !            12:  * copyrights, in and to the SOFTWARE.
        !            13:  *
        !            14:  * (1) FLL does not grant you a license in any way for commercial
        !            15:  * purposes. You may use the SOFTWARE only for non-commercial and
        !            16:  * non-profit purposes only, such as academic, research and internal
        !            17:  * business use.
        !            18:  * (2) The SOFTWARE is protected by the Copyright Law of Japan and
        !            19:  * international copyright treaties. If you make copies of the SOFTWARE,
        !            20:  * with or without modification, as permitted hereunder, you shall affix
        !            21:  * to all such copies of the SOFTWARE the above copyright notice.
        !            22:  * (3) An explicit reference to this SOFTWARE and its copyright owner
        !            23:  * shall be made on your publication or presentation in any form of the
        !            24:  * results obtained by use of the SOFTWARE.
        !            25:  * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
        !            26:  * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
        !            27:  * for such modification or the source code of the modified part of the
        !            28:  * SOFTWARE.
        !            29:  *
        !            30:  * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
        !            31:  * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
        !            32:  * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
        !            33:  * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
        !            34:  * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
        !            35:  * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
        !            36:  * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
        !            37:  * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
        !            38:  * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
        !            39:  * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
        !            40:  * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
        !            41:  * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
        !            42:  * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
        !            43:  * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
        !            44:  * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
        !            45:  * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
        !            46:  * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
        !            47:  *
        !            48:  * $OpenXM$
        !            49: */
        !            50: #include <stdio.h>
        !            51: #include <stdlib.h>
        !            52: #include <gmp.h>
        !            53: #include <mpc.h>
        !            54: #include <limits.h>
        !            55:
        !            56: /* from mpfr-impl.h */
        !            57: #define MPFR_PREC(x)      ((x)->_mpfr_prec)
        !            58: #define MPFR_EXP(x)       ((x)->_mpfr_exp)
        !            59: #define MPFR_MANT(x)      ((x)->_mpfr_d)
        !            60: #define MPFR_LAST_LIMB(x) ((MPFR_PREC (x) - 1) / GMP_NUMB_BITS)
        !            61: #define MPFR_LIMB_SIZE(x) (MPFR_LAST_LIMB (x) + 1)
        !            62:
        !            63: #define RAT_CEIL(nm,dn) (((nm)+(dn)-1)/((dn)))
        !            64: #define MPFR_LIMB_SIZE_REAL(x) (RAT_CEIL(MPFR_PREC((x)),sizeof(mp_limb_t)*CHAR_BIT) * (sizeof(mp_limb_t)/sizeof(int)) )
        !            65: #define MPFR_LIMB_SIZE_BODY(x) (RAT_CEIL(MPFR_PREC((x)),sizeof(unsigned int)*CHAR_BIT))
        !            66:
        !            67: #if defined(hpux)
        !            68: #include <netinet/in.h>
        !            69: # define setbuffer(FP,buf,siz) setvbuf(FP,buf,_IOFBF,siz)
        !            70: #endif
        !            71:
        !            72: #if !defined(VISUAL) && !defined(__MINGW32__)
        !            73: #include <unistd.h>
        !            74: #include <sys/param.h>
        !            75: #endif
        !            76:
        !            77: #if defined(linux) || (defined(sun) && !defined(SYSV)) || defined(news5000) || (defined(mips) && defined(ultrix))
        !            78: #include <alloca.h>
        !            79: #endif
        !            80:
        !            81: #if (defined(sun) && defined(SYSV))
        !            82: #define alloca(x) __builtin_alloca(x)
        !            83: #endif
        !            84:
        !            85: #if defined(VISUAL) || defined(__MINGW32__)
        !            86: #include <limits.h>
        !            87: #include <malloc.h>
        !            88: #endif
        !            89:
        !            90: #if 0
        !            91: #include <sys/types.h>
        !            92: typedef caddr_t pointer;
        !            93: #endif
        !            94:
        !            95:
        !            96: typedef void * pointer;
        !            97:
        !            98: #if defined(sun)
        !            99: #include <strings.h>
        !           100: #else
        !           101: #include <string.h>
        !           102: #if defined(VISUAL) || defined(__MINGW32__)
        !           103: #define index(s,c) strchr(s,c)
        !           104: #define bzero(s,len) memset(s,0,len)
        !           105: #define bcopy(x,y,len) memcpy(y,x,len)
        !           106: #endif
        !           107: #endif
        !           108:
        !           109: #define NULLP ((void *)0)
        !           110:
        !           111: #define TODO    printf("%s: not implemented!\n", __func__)
        !           112:
        !           113: #define COPY(a,b) ((b)=(a))
        !           114: #define FREEN(p)
        !           115: #define FREEQ(p)
        !           116: #define FREE(p)
        !           117: #define INITRC(p)
        !           118:
        !           119: /* data structures */
        !           120:
        !           121: #define O_N 1
        !           122: #define O_P 2
        !           123: #define O_R 3
        !           124: #define O_LIST 4
        !           125: #define O_VECT 5
        !           126: #define O_MAT 6
        !           127: #define O_STR 7
        !           128: #define O_COMP 8
        !           129: #define O_DP 9
        !           130: #define O_USINT 10
        !           131: #define O_ERR 11
        !           132: #define O_GF2MAT 12
        !           133: #define O_MATHCAP 13
        !           134: #define O_F 14
        !           135: #define O_GFMMAT 15
        !           136: #define O_BYTEARRAY 16
        !           137: #define O_QUOTE 17
        !           138: #define O_OPTLIST 18
        !           139: #define O_SYMBOL 19
        !           140: #define O_RANGE 20
        !           141: #define O_TB 21
        !           142: #define O_DPV 22
        !           143: #define O_QUOTEARG 23
        !           144: #define O_VOID -1
        !           145: /* IMAT */
        !           146: #define O_IMAT 24
        !           147: /* IMAT */
        !           148: #define O_NBP 25
        !           149: #define O_DPM 26
        !           150:
        !           151: #define N_Q 0
        !           152: #define N_R 1
        !           153: #define N_A 2
        !           154: #define N_B 3
        !           155: #define N_NEXT_B    (N_B)
        !           156: #if defined(INTERVAL)
        !           157: #define N_Quad  (N_NEXT_B+1)
        !           158: #define  N_IP  (N_NEXT_B+2)
        !           159: #define N_IntervalDouble  (N_NEXT_B+3)
        !           160: #define N_IntervalQuad  (N_NEXT_B+4)
        !           161: #define N_IntervalBigFloat  (N_NEXT_B+5)
        !           162: #define N_PRE_C  N_IntervalBigFloat
        !           163: #define N_BASE (N_NEXT_B+5)
        !           164: #else
        !           165: #define N_BASE N_NEXT_B
        !           166: #endif
        !           167: #define N_C (N_BASE+1)
        !           168: #define N_M (N_BASE+2)
        !           169: #define N_LM (N_BASE+3)
        !           170: #define N_GF2N (N_BASE+4)
        !           171: #define N_GFPN (N_BASE+5)
        !           172: #define N_GFS (N_BASE+6)
        !           173: #define N_GFSN (N_BASE+7)
        !           174: #define N_DA (N_BASE+8)
        !           175: #define N_PARIB (N_BASE+11)
        !           176:
        !           177: #define G_Z 0
        !           178: #define G_Q 1
        !           179:
        !           180: #define ORD_REVGRADLEX 0
        !           181: #define ORD_GRADLEX 1
        !           182: #define ORD_LEX 2
        !           183:
        !           184: typedef enum {
        !           185:   A_end=0,A_fnode,A_arf,A_int,A_str,A_internal,A_node,A_notimpl,A_func
        !           186: } farg_type;
        !           187:
        !           188: #if SIZEOF_LONG == 8
        !           189: typedef long L;
        !           190: typedef unsigned long UL;
        !           191: #elif defined(HAVE_UNSIGNED_LONG_LONG)
        !           192: typedef long long L;
        !           193: typedef unsigned long long UL;
        !           194: #elif defined(_MSC_VER)
        !           195: typedef _int64 L;
        !           196: typedef unsigned _int64 UL;
        !           197: #endif
        !           198:
        !           199: #if defined(__GNUC__) && SIZEOF_LONG == 8
        !           200: typedef __uint64_t U64;
        !           201: typedef __uint128_t U128;
        !           202: typedef __int64_t L64;
        !           203: typedef __int128_t L128;
        !           204: #endif
        !           205:
        !           206: typedef struct oZ {
        !           207:   short id;
        !           208:   char nid;
        !           209:   char z;
        !           210:   mpz_t body;
        !           211: } *Z;
        !           212:
        !           213: typedef struct oQ {
        !           214:   short id;
        !           215:   char nid;
        !           216:   char z;
        !           217:   mpq_t body;
        !           218: } *Q;
        !           219:
        !           220: typedef struct oLM {
        !           221:   short id;
        !           222:   char nid;
        !           223:   char pad;
        !           224:   mpz_t body;
        !           225: } *LM;
        !           226:
        !           227: typedef struct oUP2 {
        !           228:   int w;
        !           229:   unsigned int b[1];
        !           230: } *UP2;
        !           231:
        !           232: typedef struct _oUP2 {
        !           233:   int w;
        !           234:   unsigned int *b;
        !           235: } *_UP2;
        !           236:
        !           237: #define UP2_DENSE 0
        !           238: #define UP2_SPARSE 1
        !           239:
        !           240: typedef struct oGEN_UP2 {
        !           241:   int id;
        !           242:   UP2 dense;
        !           243:   UP2 sparse;
        !           244: } *GEN_UP2;
        !           245:
        !           246: typedef struct oV {
        !           247:   char *name;
        !           248:   pointer attr;
        !           249:   pointer priv;
        !           250: } *V;
        !           251:
        !           252: typedef struct oReal {
        !           253:   short id;
        !           254:   char nid;
        !           255:   char pad;
        !           256:   double body;
        !           257: } *Real;
        !           258:
        !           259: typedef struct oAlg {
        !           260:   short id;
        !           261:   char nid;
        !           262:   char pad;
        !           263:   struct oObj *body;
        !           264: } *Alg;
        !           265:
        !           266: typedef struct oBF {
        !           267:   short id;
        !           268:   char nid;
        !           269:   char pad;
        !           270:   mpfr_t body;
        !           271: } *BF;
        !           272:
        !           273: typedef struct oC {
        !           274:   short id;
        !           275:   char nid;
        !           276:   char pad;
        !           277:   struct oNum *r,*i;
        !           278: } *C;
        !           279:
        !           280: typedef struct oGF2N {
        !           281:   short id;
        !           282:   char nid;
        !           283:   char pad;
        !           284:   struct oUP2 *body;
        !           285: } *GF2N;
        !           286:
        !           287: typedef struct oGFPN {
        !           288:   short id;
        !           289:   char nid;
        !           290:   char pad;
        !           291:   struct oUP *body;
        !           292: } *GFPN;
        !           293:
        !           294: typedef struct oDAlg {
        !           295:   short id;
        !           296:   char nid;
        !           297:   char pad;
        !           298:   struct oDP *nm;
        !           299:   struct oZ *dn;
        !           300: } *DAlg;
        !           301:
        !           302: typedef struct oNum {
        !           303:   short id;
        !           304:   char nid;
        !           305:   char pad;
        !           306: } *Num;
        !           307:
        !           308: typedef struct oMQ {
        !           309:   short id;
        !           310:   char nid;
        !           311:   char pad;
        !           312:   int cont;
        !           313: } *MQ;
        !           314:
        !           315: typedef struct oGFS {
        !           316:   short id;
        !           317:   char nid;
        !           318:   char pad;
        !           319:   int cont;
        !           320: } *GFS;
        !           321:
        !           322: typedef struct oGFSN {
        !           323:   short id;
        !           324:   char nid;
        !           325:   char pad;
        !           326:   struct oUM *body;
        !           327: } *GFSN;
        !           328:
        !           329: typedef struct oP {
        !           330:   short id;
        !           331:   short pad;
        !           332:   V v;
        !           333:   struct oDCP *dc;
        !           334: } *P;
        !           335:
        !           336: typedef struct oR {
        !           337:   short id;
        !           338:   short reduced;
        !           339:   P nm;
        !           340:   P dn;
        !           341: } *R;
        !           342:
        !           343: typedef struct oVECT {
        !           344:   short id;
        !           345:   short pad;
        !           346:   int len;
        !           347:   pointer *body;
        !           348: } *VECT;
        !           349:
        !           350: typedef struct oMAT {
        !           351:   short id;
        !           352:   short pad;
        !           353:   int row,col;
        !           354:   pointer **body;
        !           355: } *MAT;
        !           356:
        !           357: typedef struct oGF2MAT {
        !           358:   short id;
        !           359:   short pad;
        !           360:   int row,col;
        !           361:   unsigned int **body;
        !           362: } *GF2MAT, *GFMMAT;
        !           363:
        !           364: /* IMAT */
        !           365: #define IMATCH 64
        !           366:
        !           367: typedef struct oIENT {
        !           368:   int cr;
        !           369:   int row, col;
        !           370:   pointer *body;
        !           371: } IENT;
        !           372:
        !           373: typedef struct oIMATC {
        !           374:   pointer *fore;
        !           375:   pointer *next;
        !           376:   IENT ient[IMATCH];
        !           377: } *IMATC;
        !           378:
        !           379: typedef struct oIMAT {
        !           380:   short id;
        !           381:   int row, col, clen;
        !           382:   pointer *root;
        !           383:   pointer *toor;
        !           384: } *IMAT;
        !           385: /* IMAT */
        !           386: typedef struct oLIST {
        !           387:   short id;
        !           388:   short pad;
        !           389:   struct oNODE *body;
        !           390: } *LIST;
        !           391:
        !           392: typedef struct oSTRING {
        !           393:   short id;
        !           394:   short pad;
        !           395:   char *body;
        !           396: } *STRING;
        !           397:
        !           398: typedef struct oCOMP {
        !           399:   short id;
        !           400:   short type;
        !           401:   struct oObj *member[1];
        !           402: } *COMP;
        !           403:
        !           404: typedef struct oDP {
        !           405:   short id;
        !           406:   short nv;
        !           407:   int sugar;
        !           408:   struct oMP *body;
        !           409: } *DP;
        !           410:
        !           411: typedef struct oDPV {
        !           412:   short id;
        !           413:   int len;
        !           414:   int sugar;
        !           415:   struct oDP **body;
        !           416: } *DPV;
        !           417:
        !           418:
        !           419: typedef struct oUSINT {
        !           420:   short id;
        !           421:   short pad;
        !           422:   unsigned int body;
        !           423: } *USINT;
        !           424:
        !           425: typedef struct oERR {
        !           426:   short id;
        !           427:   short pad;
        !           428:   struct oObj *body;
        !           429: } *ERR;
        !           430:
        !           431: typedef struct oMATHCAP {
        !           432:   short id;
        !           433:   short pad;
        !           434:   struct oLIST *body;
        !           435: } *MATHCAP;
        !           436:
        !           437: typedef struct oBYTEARRAY {
        !           438:   short id;
        !           439:   short pad;
        !           440:   int len;
        !           441:   unsigned char *body;
        !           442: } *BYTEARRAY;
        !           443:
        !           444: typedef struct oQUOTE {
        !           445:   short id;
        !           446:   short pad;
        !           447:   pointer body;
        !           448: } *QUOTE;
        !           449:
        !           450: typedef struct oQUOTEARG {
        !           451:   short id;
        !           452:   short pad;
        !           453:   farg_type type;
        !           454:   pointer body;
        !           455: } *QUOTEARG;
        !           456:
        !           457: typedef struct oOPTLIST {
        !           458:   short id;
        !           459:   short pad;
        !           460:   struct oNODE *body;
        !           461: } *OPTLIST;
        !           462:
        !           463: typedef struct oSYMBOL {
        !           464:   short id;
        !           465:   short pad;
        !           466:   char *name;
        !           467:   int value;
        !           468: } *SYMBOL;
        !           469:
        !           470: typedef struct oRANGE {
        !           471:   short id;
        !           472:   short pad;
        !           473:   struct oObj *start,*end;
        !           474: } *RANGE;
        !           475:
        !           476: typedef struct oTB {
        !           477:   short id;
        !           478:   short pad;
        !           479:   int size,next;
        !           480:   char **body;
        !           481: } *TB;
        !           482:
        !           483: typedef struct oNBP {
        !           484:   short id;
        !           485:   short pad;
        !           486:   struct oNODE *body;
        !           487: } *NBP;
        !           488:
        !           489: /* non-commutative bivariate monomial */
        !           490:
        !           491: typedef struct oNBM {
        !           492:   int d;
        !           493:   P c;
        !           494:   unsigned int *b;
        !           495: } *NBM;
        !           496:
        !           497: #define NEWNBM(p) ((p)=(NBM)MALLOC(sizeof(struct oNBM)))
        !           498: #define NEWNBMBDY(p,d) \
        !           499: ((p)->b=(unsigned int *)MALLOC((((d)+31)/32)*sizeof(unsigned int)))
        !           500: #define NEWNBP(p) ((p)=(NBP)MALLOC(sizeof(struct oNBP)),OID(p)=O_NBP)
        !           501: #define MKNBP(p,b) (NEWNBP(p),BDY(p)=(b))
        !           502:
        !           503: #define NBM_GET(a,j) (((a)[(j)>>5]&(1<<((j)&31)))?1:0)
        !           504: #define NBM_SET(a,j) ((a)[(j)>>5]|=(1<<((j)&31)))
        !           505: #define NBM_CLR(a,j) ((a)[(j)>>5]&=(~(1<<((j)&31))))
        !           506:
        !           507: typedef struct oObj {
        !           508:   short id;
        !           509:   short pad;
        !           510: } *Obj;
        !           511:
        !           512: typedef struct oDCP {
        !           513:   Z d;
        !           514:   P c;
        !           515:   struct oDCP *next;
        !           516: } *DCP;
        !           517:
        !           518: typedef struct oMP {
        !           519:   struct oDL *dl;
        !           520:   Obj c;
        !           521:   struct oMP *next;
        !           522: } *MP;
        !           523:
        !           524: typedef struct oDPM {
        !           525:   short id;
        !           526:   short nv;
        !           527:   int sugar;
        !           528:   struct oDMM *body;
        !           529: } *DPM;
        !           530:
        !           531: typedef struct oDMM {
        !           532:   int pos;
        !           533:   struct oDL *dl;
        !           534:   Obj c;
        !           535:   struct oDMM *next;
        !           536: } *DMM;
        !           537:
        !           538: typedef struct oDL {
        !           539:   int td;
        !           540:   int d[1];
        !           541: } *DL;
        !           542:
        !           543: struct dp_pairs {
        !           544:   int dp1, dp2;
        !           545:   DL lcm;
        !           546:   int sugar;
        !           547:   struct dp_pairs *next;
        !           548: };
        !           549:
        !           550: typedef struct dp_pairs *DP_pairs;
        !           551:
        !           552: struct p_pair {
        !           553:   struct oUM *p0;
        !           554:   struct oUM *p1;
        !           555:   struct p_pair *next;
        !           556: };
        !           557:
        !           558: struct oMF {
        !           559:   int m;
        !           560:   P f;
        !           561: };
        !           562:
        !           563: /*
        !           564:  * compressed DP
        !           565:  */
        !           566:
        !           567: typedef struct oCDP {
        !           568:   int len;
        !           569:   long psindex;
        !           570:   unsigned int *body;
        !           571: } *CDP;
        !           572:
        !           573: typedef struct oCM {
        !           574:   int index;
        !           575:   int c;
        !           576: } *CM;
        !           577:
        !           578: /* bucket list for DL */
        !           579:
        !           580: typedef struct oDLBUCKET {
        !           581:   int td;
        !           582:   struct oNODE *body;
        !           583:   struct oDLBUCKET *next;
        !           584: } *DLBUCKET;
        !           585:
        !           586: typedef struct oGeoBucket {
        !           587:   int m;
        !           588:   struct oNODE *body[32];
        !           589: } *GeoBucket;
        !           590:
        !           591: typedef struct oVL {
        !           592:   V v;
        !           593:   struct oVL *next;
        !           594: } *VL;
        !           595:
        !           596: typedef struct oNODE {
        !           597:   pointer body;
        !           598:   struct oNODE *next;
        !           599: } *NODE;
        !           600:
        !           601: /* univariate poly over small finite field; dense */
        !           602: typedef struct oUM {
        !           603:   int d;
        !           604:   int c[1];
        !           605: } *UM;
        !           606:
        !           607: /* univariate poly with nadic coeff */
        !           608: typedef struct oLUM {
        !           609:   int d;
        !           610:   int *c[1];
        !           611: } *LUM;
        !           612:
        !           613: /* bivariate poly over small finite field; dense */
        !           614:
        !           615: typedef struct oBM {
        !           616:   int d;
        !           617:   UM c[1];
        !           618: } *BM;
        !           619:
        !           620: typedef struct oML {
        !           621:   int n;
        !           622:   int mod;
        !           623:   int bound;
        !           624:   pointer c[1];
        !           625: } *ML;
        !           626:
        !           627: typedef struct oUB {
        !           628:   int d;
        !           629:   Z c[1];
        !           630: } *UB;
        !           631:
        !           632: typedef struct oVN {
        !           633:   V v;
        !           634:   int n;
        !           635: } *VN;
        !           636:
        !           637: typedef struct oUP {
        !           638:   int d;
        !           639:   Num c[1];
        !           640: } *UP;
        !           641:
        !           642: typedef struct oDUM {
        !           643:   int n;
        !           644:   UM f;
        !           645: } *DUM;
        !           646:
        !           647: struct order_pair {
        !           648:   int order, length;
        !           649: };
        !           650:
        !           651: struct sparse_weight {
        !           652:   int pos, value;
        !           653: };
        !           654:
        !           655: #define IS_DENSE_WEIGHT 0
        !           656: #define IS_SPARSE_WEIGHT 1
        !           657: #define IS_BLOCK 2
        !           658:
        !           659: struct weight_or_block {
        !           660:   int type;
        !           661:   int length;
        !           662:   union {
        !           663:     int *dense_weight;
        !           664:     struct sparse_weight *sparse_weight;
        !           665:     struct {
        !           666:       int order, start;
        !           667:     } block;
        !           668:   } body;
        !           669: };
        !           670:
        !           671: struct order_spec {
        !           672:   int id;
        !           673:   Obj obj;
        !           674:   int nv;
        !           675:   int ispot; /* 1 means Position over Term (Pos then Term) */
        !           676:   int pot_nelim; /* size of positions for pot-elimination order */
        !           677:   int *top_weight;
        !           678:   int module_rank;
        !           679:   int *module_top_weight;
        !           680:   union {
        !           681:     int simple;
        !           682:     struct {
        !           683:       int length;
        !           684:       struct order_pair *order_pair;
        !           685:     } block;
        !           686:     struct {
        !           687:       int row;
        !           688:       int **matrix;
        !           689:     } matrix;
        !           690:     struct {
        !           691:       int length;
        !           692:       struct weight_or_block *w_or_b;
        !           693:     } composite;
        !           694:   } ord;
        !           695: };
        !           696:
        !           697: struct modorder_spec {
        !           698:   /* id : ORD_REVGRADLEX, ORD_GRADLEX, ORD_LEX */
        !           699:   int id;
        !           700:   Obj obj;
        !           701:   int len;
        !           702:   int *degree_shift;
        !           703: };
        !           704:
        !           705: typedef struct oNumberField {
        !           706:   int n;
        !           707:   int psn;
        !           708:   int dim;
        !           709:   VL vl;
        !           710:   P *defpoly;
        !           711:   DP *mb;
        !           712:   DP *ps;
        !           713:   struct oDAlg *one;
        !           714:   NODE ind;
        !           715:   struct order_spec *spec;
        !           716: } *NumberField;
        !           717:
        !           718: /* structure for cputime */
        !           719:
        !           720: struct oEGT {
        !           721:   double exectime,gctime;
        !           722: };
        !           723:
        !           724: /* constant */
        !           725:
        !           726: /* ground finite field specification */
        !           727: #define FF_NOT_SET 0
        !           728: #define FF_GFP 1
        !           729: #define FF_GF2N 2
        !           730: #define FF_GFPN 3
        !           731: #define FF_GFS 4
        !           732: #define FF_GFSN 5
        !           733:
        !           734: /* include interval.h */
        !           735: #include "interval.h"
        !           736:
        !           737: #define INDEX 100
        !           738:
        !           739: #if defined(USE_FLOAT)
        !           740: typedef float ModNum;
        !           741: #define NPrimes 536
        !           742: #else
        !           743: typedef unsigned int ModNum;
        !           744: #define NPrimes 13681
        !           745: #endif
        !           746:
        !           747: /* general macros */
        !           748: #if defined(MAX)
        !           749: #undef MAX
        !           750: #endif
        !           751: #if defined(MIN)
        !           752: #undef MIN
        !           753: #endif
        !           754: #define MAX(a,b) ((a) > (b) ? (a) : (b) )
        !           755: #define MIN(a,b) ((a) > (b) ? (b) : (a) )
        !           756: #ifdef ABS
        !           757: #undef ABS
        !           758: #endif
        !           759: #define ABS(a) ((a)>0?(a):-(a))
        !           760: #define ID(p) ((p)->id)
        !           761: #define OID(p) (((Obj)(p))->id)
        !           762: #define NID(p) (((Num)(p))->nid)
        !           763: #define BDY(p) ((p)->body)
        !           764: #define VR(p) ((p)->v)
        !           765: #define NAME(p) ((p)->name)
        !           766: #define NEXT(p) ((p)->next)
        !           767: #define NM(q) ((q)->nm)
        !           768: #define DN(q) ((q)->dn)
        !           769: #define SGN(q) ((q)->sgn)
        !           770: #define DC(p) ((p)->dc)
        !           771: #define COEF(p) ((p)->c)
        !           772: #define DEG(p) ((p)->d)
        !           773: #define CONT(a) ((a)->cont)
        !           774: #define UDEG(f) QTOS(DEG(DC(f)))
        !           775: #define UCOEF(f) (COEF(DC(f)))
        !           776: #define LC(f) (NUM(f)?(f):COEF(DC(f)))
        !           777:
        !           778: /* memory allocators (W_... : uses alloca) */
        !           779:
        !           780: #define MALLOC(d) Risa_GC_malloc(d)
        !           781: #define MALLOC_ATOMIC(d) Risa_GC_malloc_atomic(d)
        !           782: #define MALLOC_ATOMIC_IGNORE_OFF_PAGE(d) Risa_GC_malloc_atomic_ignore_off_page(d)
        !           783: #define REALLOC(p,d) Risa_GC_realloc(p,d)
        !           784: #define GCFREE(p) Risa_GC_free(p)
        !           785: #define CALLOC(d,e) MALLOC((d)*(e))
        !           786:
        !           787: #if 0
        !           788: #if !defined(__CYGWIN__) && (defined(__GNUC__) || defined(vax) || defined(apollo) || defined(alloca) || defined(VISUAL) || defined(__MINGW32__))
        !           789: #define ALLOCA(d) alloca(d)
        !           790: #else
        !           791: #define ALLOCA(d) MALLOC(d)
        !           792: #endif
        !           793: #endif
        !           794:
        !           795: #define ALLOCA(d) MALLOC(d)
        !           796:
        !           797: /* for handling signals */
        !           798: #if defined(HAVE_SIGACTION)  /* POSIX */
        !           799: void (*set_signal(int sig, void (*handler)(int)))(int);
        !           800: #define set_signal_for_restart(x,y) (0)
        !           801: #else
        !           802: #define set_signal(x,y)             (signal(x,y))
        !           803: #define set_signal_for_restart(x,y) (signal(x,y))
        !           804: #endif
        !           805:
        !           806: /* for setjmp/longjmp compatibility */
        !           807: #if defined(__CYGWIN__) || defined(HAVE_SIGACTION) || (defined(__x86_64) && !defined(__MINGW32__))
        !           808: #define JMP_BUF sigjmp_buf
        !           809: #define SETJMP(x) sigsetjmp(x,~0)
        !           810: #define LONGJMP(x,y) siglongjmp(x,y)
        !           811: #else
        !           812: #define JMP_BUF jmp_buf
        !           813: #define SETJMP(x) setjmp(x)
        !           814: #define LONGJMP(x,y) longjmp(x,y)
        !           815: #endif
        !           816:
        !           817: #define TRUESIZE(type,n,atype) (sizeof(struct type)+MAX((n),0)*sizeof(atype))
        !           818: #define UMALLOC(d) ((UM)MALLOC(TRUESIZE(oUM,d,int)))
        !           819: #define UPALLOC(d) ((UP)MALLOC(TRUESIZE(oUP,(d),Num)))
        !           820: #define C_UMALLOC(d) ((UM)MALLOC(TRUESIZE(oUM,d,int)))
        !           821: #define MLALLOC(d) ((ML)MALLOC(TRUESIZE(oML,d,pointer)))
        !           822:
        !           823: #define W_ALLOC(d) ((int *)ALLOCA(((d)+1)*sizeof(int)))
        !           824: #define W_CALLOC(n,type,p) \
        !           825: ((p)=(type *)ALLOCA(((n)+1)*sizeof(type)),\
        !           826: bzero((char *)(p),(int)(((n)+1)*sizeof(type))))
        !           827: #define W_UMALLOC(d) ((UM)ALLOCA(TRUESIZE(oUM,d,int)))
        !           828: #define W_UPALLOC(d) ((UP)ALLOCA(TRUESIZE(oUP,(d),Num)))
        !           829: #define W_MLALLOC(d) ((ML)ALLOCA(TRUESIZE(oML,d,pointer)))
        !           830: #define W_LUMALLOC(n,bound,p)\
        !           831: {\
        !           832:   LUM ___q___;\
        !           833:   int ___i___,**___c___;\
        !           834:   (___q___) = (LUM)ALLOCA(TRUESIZE(oLUM,(n),int *));\
        !           835:   DEG(___q___) = n;\
        !           836:   for ( ___i___ = 0, ___c___ = (int **)COEF(___q___); ___i___ <= n; ___i___++ ) {\
        !           837:     ___c___[___i___] = (int *)ALLOCA(((bound)+1)*sizeof(int));\
        !           838:     bzero((char *)___c___[___i___],((bound)+1)*sizeof(int));\
        !           839:   }\
        !           840:   (p) = ___q___;\
        !           841: }
        !           842:
        !           843: #define W_BMALLOC(dx,dy,p)\
        !           844: {\
        !           845:   BM ___q___;\
        !           846:   int ___i___;\
        !           847:   UM *___c___;\
        !           848:   (___q___) = (BM)ALLOCA(TRUESIZE(oBM,(dy),UM));\
        !           849:   DEG(___q___) = dy;\
        !           850:   ___c___ = (UM *)COEF(___q___);\
        !           851:   for ( ___i___ = 0; ___i___ <= dy; ___i___++ ) {\
        !           852:     ___c___[___i___] = W_UMALLOC(dx);\
        !           853:     clearum(___c___[___i___],dx);\
        !           854:   }\
        !           855:   (p) = ___q___;\
        !           856: }
        !           857:
        !           858: #define NEWUP2(q,w)\
        !           859: ((q)=(UP2)MALLOC_ATOMIC(TRUESIZE(oUP2,(w)-1,unsigned int)),\
        !           860: bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
        !           861: #define W_NEWUP2(q,w)\
        !           862: ((q)=(UP2)ALLOCA(TRUESIZE(oUP2,(w)-1,unsigned int)),\
        !           863: bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
        !           864: #define W_NEW_UP2(q,w)\
        !           865: ((q).b=(unsigned int *)ALLOCA((w)*sizeof(unsigned int)))
        !           866:
        !           867: /* cell allocators */
        !           868: #define NEWZ(q) ((q)=(Z)MALLOC(sizeof(struct oZ)),OID(q)=O_N,NID(q)=N_Q,(q)->z=1,mpz_init((q)->body))
        !           869: #define NEWQ(q) ((q)=(Q)MALLOC(sizeof(struct oQ)),OID(q)=O_N,NID(q)=N_Q,(q)->z=0,mpq_init((q)->body))
        !           870: #define NEWMQ(q) ((q)=(MQ)MALLOC_ATOMIC(sizeof(struct oMQ)),OID(q)=O_N,NID(q)=N_M)
        !           871: #define NEWGFS(q) ((q)=(GFS)MALLOC_ATOMIC(sizeof(struct oGFS)),OID(q)=O_N,NID(q)=N_GFS)
        !           872: #define NEWGFSN(q) ((q)=(GFSN)MALLOC(sizeof(struct oGFSN)),OID(q)=O_N,NID(q)=N_GFSN)
        !           873: #define NEWP(p) ((p)=(P)MALLOC(sizeof(struct oP)),OID(p)=O_P)
        !           874: #define NEWR(r) ((r)=(R)MALLOC(sizeof(struct oR)),OID(r)=O_R,(r)->reduced=0)
        !           875: #define NEWLIST(l) ((l)=(LIST)MALLOC(sizeof(struct oLIST)),OID(l)=O_LIST)
        !           876: #define NEWVECT(l) ((l)=(VECT)MALLOC(sizeof(struct oVECT)),OID(l)=O_VECT)
        !           877: #define NEWSTR(l) ((l)=(STRING)MALLOC(sizeof(struct oSTRING)),OID(l)=O_STR)
        !           878: #define NEWCOMP(c,n) ((c)=(COMP)MALLOC(sizeof(struct oCOMP)+((n)-1)*sizeof(Obj)),OID(c)=O_COMP)
        !           879: #define NEWDP(d) ((d)=(DP)MALLOC(sizeof(struct oDP)),OID(d)=O_DP)
        !           880: #define NEWDPV(d) ((d)=(DPV)MALLOC(sizeof(struct oDPV)),OID(d)=O_DPV)
        !           881: #define NEWDPM(d) ((d)=(DPM)MALLOC(sizeof(struct oDPM)),OID(d)=O_DPM)
        !           882: #define NEWUSINT(u) ((u)=(USINT)MALLOC_ATOMIC(sizeof(struct oUSINT)),OID(u)=O_USINT)
        !           883: #define NEWERR(e) ((e)=(ERR)MALLOC(sizeof(struct oERR)),OID(e)=O_ERR)
        !           884: #define NEWMATHCAP(e) ((e)=(MATHCAP)MALLOC(sizeof(struct oMATHCAP)),OID(e)=O_MATHCAP)
        !           885: #define NEWBYTEARRAY(e) ((e)=(BYTEARRAY)MALLOC(sizeof(struct oBYTEARRAY)),OID(e)=O_BYTEARRAY)
        !           886: #define NEWQUOTE(e) ((e)=(QUOTE)MALLOC(sizeof(struct oQUOTE)),OID(e)=O_QUOTE)
        !           887: #define NEWQUOTEARG(e) ((e)=(QUOTEARG)MALLOC(sizeof(struct oQUOTEARG)),OID(e)=O_QUOTEARG)
        !           888: #define NEWOPTLIST(l) ((l)=(OPTLIST)MALLOC(sizeof(struct oOPTLIST)),OID(l)=O_OPTLIST)
        !           889: #define NEWSYMBOL(l) ((l)=(SYMBOL)MALLOC(sizeof(struct oSYMBOL)),OID(l)=O_SYMBOL)
        !           890: #define NEWRANGE(l) ((l)=(RANGE)MALLOC(sizeof(struct oRANGE)),OID(l)=O_RANGE)
        !           891: #define NEWTB(l) ((l)=(TB)MALLOC(sizeof(struct oTB)),OID(l)=O_TB,(l)->size=256,(l)->next=0,(l)->body=(char **)MALLOC((l)->size*sizeof(char *)))
        !           892:
        !           893: #define NEWNODE(a) ((a)=(NODE)MALLOC(sizeof(struct oNODE)))
        !           894: #define NEWDC(dc) ((dc)=(DCP)MALLOC(sizeof(struct oDCP)))
        !           895: #define NEWV(v) ((v)=(V)MALLOC(sizeof(struct oV)))
        !           896: #define NEWVL(vl) ((vl)=(VL)MALLOC(sizeof(struct oVL)))
        !           897: #define NEWMP(m) ((m)=(MP)MALLOC(sizeof(struct oMP)))
        !           898: #define NEWDMM(m) ((m)=(DMM)MALLOC(sizeof(struct oDMM)))
        !           899: #define NEWDLBUCKET(a) ((a)=(DLBUCKET)MALLOC(sizeof(struct oDLBUCKET)))
        !           900: #define NEWDPP(a) ((a)=(DP_pairs)MALLOC(sizeof(struct dp_pairs)))
        !           901:
        !           902: #define NEWMAT(l) ((l)=(MAT)MALLOC(sizeof(struct oMAT)),OID(l)=O_MAT)
        !           903: #define NEWGF2MAT(l) ((l)=(GF2MAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GF2MAT)
        !           904: #define NEWGFMMAT(l) ((l)=(GFMMAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GFMMAT)
        !           905: /* IMAT */
        !           906: #define NEWIMAT(l) ((l)=(IMAT)MALLOC(sizeof(struct oIMAT)),OID(l)=O_IMAT,l->clen=0,l->root=0,l->toor=0)
        !           907: #define NEWIENT(l) ((l)=(IMATC)MALLOC(sizeof(struct oIMATC)),l->fore=0,l->next=0)
        !           908: /* IMAT */
        !           909: #define NEWReal(q) ((q)=(Real)MALLOC_ATOMIC(sizeof(struct oReal)),OID(q)=O_N,NID(q)=N_R)
        !           910: #define NEWAlg(r) ((r)=(Alg)MALLOC(sizeof(struct oAlg)),OID(r)=O_N,NID(r)=N_A)
        !           911: #define NEWDAlg(r) ((r)=(DAlg)MALLOC(sizeof(struct oDAlg)),OID(r)=O_N,NID(r)=N_DA)
        !           912: #define NEWBF(q) ((q)=(BF)MALLOC(sizeof(struct oBF)),OID(q)=O_N,NID(q)=N_B)
        !           913: #define NEWPARIBF(q,l) ((q)=(BF)MALLOC_ATOMIC(TRUESIZE(oBF,(l)-1,long)),OID(q)=O_N,NID(q)=N_PARIB)
        !           914: #define NEWC(r) ((r)=(C)MALLOC(sizeof(struct oC)),OID(r)=O_N,NID(r)=N_C)
        !           915: #define NEWLM(r) ((r)=(LM)MALLOC(sizeof(struct oLM)),OID(r)=O_N,NID(r)=N_LM)
        !           916: #define NEWGF2N(r) ((r)=(GF2N)MALLOC(sizeof(struct oGF2N)),OID(r)=O_N,NID(r)=N_GF2N)
        !           917: #define NEWGFPN(r) ((r)=(GFPN)MALLOC(sizeof(struct oGFPN)),OID(r)=O_N,NID(r)=N_GFPN)
        !           918: #define NEWDL(d,n) \
        !           919: ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)),bzero((char *)(d),TRUESIZE(oDL,(n)-1,int)))
        !           920: #define NEWDL_NOINIT(d,n) \
        !           921: ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)))
        !           922:
        !           923: #define MKP(v,dc,p) \
        !           924: ((!DEG(dc)&&!NEXT(dc))?((p)=COEF(dc)):(NEWP(p),VR(p)=(v),DC(p)=(dc),(p)))
        !           925: #define MKV(v,p) \
        !           926: (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
        !           927: DEG(DC(p))=ONE,COEF(DC(p))=(P)ONE,NEXT(DC(p))=0)
        !           928: #define MKRAT(n,d,r,p) \
        !           929: (NEWR(p),NM(p)=(n),DN(p)=(d),(p)->reduced=(r))
        !           930: #define MKMV(v,p) \
        !           931: (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
        !           932: DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
        !           933: #define MKNODE(a,b,c) \
        !           934: (NEWNODE(a),(a)->body=(pointer)b,NEXT(a)=(NODE)(c))
        !           935: #define MKLIST(a,b) (NEWLIST(a),(a)->body=(NODE)(b))
        !           936: #define MKVECT(m,l) \
        !           937: (NEWVECT(m),(m)->len=(l),(m)->body=(pointer *)CALLOC((l),sizeof(pointer)))
        !           938: #define MKMAT(m,r,c) \
        !           939: (NEWMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(pointer **)almat_pointer((r),(c)))
        !           940: #define TOGF2MAT(r,c,b,m) (NEWGF2MAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
        !           941: #define TOGFMMAT(r,c,b,m) (NEWGFMMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
        !           942: #define MKSTR(a,b) (NEWSTR(a),(a)->body=(char *)(b))
        !           943: #define MKDP(n,m,d) (NEWDP(d),(d)->nv=(n),BDY(d)=(m))
        !           944: #define MKDPV(len,m,d) (NEWDPV(d),(d)->len=(len),BDY(d)=(m))
        !           945: #define MKDPM(n,m,d) (NEWDPM(d),(d)->nv=(n),BDY(d)=(m))
        !           946: #define MKLM(b,l) (!(b)?(l)=0:(NEWLM(l),(l)->body[0]=(b)[0],(l)))
        !           947: #define MKGF2N(b,l) (!(b)?(l)=0:(NEWGF2N(l),(l)->body=(b),(l)))
        !           948: #define MKGFPN(b,l) (!(b)?(l)=0:(NEWGFPN(l),(l)->body=(b),(l)))
        !           949: #define MKUSINT(u,b) (NEWUSINT(u),(u)->body=(unsigned)(b))
        !           950: #define MKERR(e,b) (NEWERR(e),(e)->body=(Obj)(b))
        !           951: #define MKMATHCAP(e,b) (NEWMATHCAP(e),(e)->body=(LIST)(b))
        !           952: #define MKBYTEARRAY(m,l) \
        !           953: (NEWBYTEARRAY(m),(m)->len=(l),(m)->body=(unsigned char *)MALLOC_ATOMIC((l)),bzero((m)->body,(l)))
        !           954: #define MKQUOTE(q,b) (NEWQUOTE(q),(q)->body=(pointer)(b))
        !           955: #define MKQUOTEARG(q,t,b) (NEWQUOTEARG(q),(q)->type=(t),(q)->body=(pointer)(b))
        !           956:
        !           957: #define NEXTDC(r,c) \
        !           958: if(!(r)){NEWDC(r);(c)=(r);}else{NEWDC(NEXT(c));(c)=NEXT(c);}
        !           959: #define NEXTNODE(r,c) \
        !           960: if(!(r)){NEWNODE(r);(c)=(r);}else{NEWNODE(NEXT(c));(c)=NEXT(c);}
        !           961: #define NEXTMP(r,c) \
        !           962: if(!(r)){NEWMP(r);(c)=(r);}else{NEWMP(NEXT(c));(c)=NEXT(c);}
        !           963: #define NEXTMP2(r,c,s) \
        !           964: if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
        !           965: #define NEXTDLBUCKET(r,c) \
        !           966: if(!(r)){NEWDLBUCKET(r);(c)=(r);}else{NEWDLBUCKET(NEXT(c));(c)=NEXT(c);}
        !           967: #define NEXTVL(r,c) \
        !           968: if(!(r)){NEWVL(r);(c)=(r);}else{NEWVL(NEXT(c));(c)=NEXT(c);}
        !           969: #define NEXTDPP(r,c) \
        !           970: if(!(r)){NEWDPP(r);(c)=(r);}else{NEWDPP(NEXT(c));(c)=NEXT(c);}
        !           971: #define NEXTDMM(r,c) \
        !           972: if(!(r)){NEWDMM(r);(c)=(r);}else{NEWDMM(NEXT(c));(c)=NEXT(c);}
        !           973:
        !           974: /* convertors */
        !           975: #define NTOQ(n,s,z) (!(n)?((z)=0):((s)<0?mpz_neg(BDY(n),BDY(n)):0,MPZTOZ(n,z)))
        !           976: #define NDTOQ(n,s,q) (!(n)?((q)=0):((s)<0?mpz_neg(BDY(n),BDY(n)):0,MPDNTOQ(n,d,q)))
        !           977:
        !           978: #define DUPZ(p,q) (NEWZ(q),BDY(q)=BDY(p))
        !           979: #define DUPQ(p,q) (NEWQ(q),BDY(q)=BDY(p))
        !           980:
        !           981: #define STOQ(n,q) ((!(n))?((q)=0):(NEWZ(q),mpz_set_si(BDY(q),n)))
        !           982: #define UTOQ(n,q) ((!(n))?((q)=0):(NEWZ(q),mpz_set_ui(BDY(q),n)))
        !           983:
        !           984: /* for initializing static object */
        !           985: #define STOQ0(n,q) (OID(q)=O_N,NID(q)=N_Q,(q)->z=1,mpz_init(BDY(q)),mpz_set_si(BDY(q),n))
        !           986: #define STOLM0(n,q) (OID(q)=O_N,NID(q)=N_LM,mpz_init(BDY(q)),mpz_set_si(BDY(q),n))
        !           987:
        !           988: #define QTOS(q) (!(q)?0:((q)->z==1?mpz_get_si(BDY((Z)q)):(error("QTOS : invalid argument"),0)))
        !           989: #define LMTOS(q) (!(q)?0:mpz_get_si(BDY(q)))
        !           990:
        !           991: #define UTOMQ(a,b) ((a)?(NEWMQ(b),CONT(b)=(unsigned int)(a),(b)):((b)=0))
        !           992: #define MKGFS(a,b) ((NEWGFS(b),CONT(b)=(a),(b)))
        !           993: #define MKGFSN(a,b) ((DEG(a)>=0)?(NEWGFSN(b),BDY(b)=(a),(b)):((b)=0))
        !           994: #define STOMQ(a,b) ((a)?(NEWMQ(b),CONT(b)=(a),(b)):((b)=0))
        !           995:
        !           996:
        !           997: #define PTOR(a,b) (!(a)?((b)=0):(NEWR(b),NM(b)=(a),DN(b)=(P)ONE,(b)->reduced=1,(b)))
        !           998:
        !           999: #define MKReal(a,b) (!(a)?((b)=0):(NEWReal(b),BDY(b)=(a),(b)))
        !          1000: #define MKAlg(b,r) (!(b)?((r)=0):NUM(b)?((r)=(Alg)(b)):(NEWAlg(r),BDY(r)=(Obj)(b),(r)))
        !          1001: #define MKDAlg(dp,den,r) (!(dp)?(void *)((r)=0):(void *)(NEWDAlg(r),(r)->nm = (dp),(r)->dn=(den)))
        !          1002:
        !          1003: #define IMM_MAX 1073741823
        !          1004: #define IMM_MIN -1073741823
        !          1005:
        !          1006: #define SL(n) ((n)->p)
        !          1007:
        !          1008: #define ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):BIGFLOAT(a)?mpfrtodbl(BDY((BF)a)):0)
        !          1009:
        !          1010: /* predicates */
        !          1011: #define NUM(p) (OID(p)==O_N)
        !          1012: #define RAT(p) (OID(p)==O_R)
        !          1013: #define RATN(a) (NID((Num)a)==N_Q)
        !          1014: #define POLY(a) (!(a) ||(OID(a)<=O_P))
        !          1015: #define INT(q) (!(q)||(NUM(q)&&NID((Num)q)==N_Q&&((Q)q)->z))
        !          1016: #define REAL(a) (NID((Num)a)==N_R)
        !          1017: #define BIGFLOAT(a) (NID((Num)a)==N_B)
        !          1018: #define SFF(a) (NID((Num)a)==N_M)
        !          1019: #define UNIZ(q) ((q)&&INT(q)&&mpz_cmp_si((BDY((Z)(q))),1)==0)
        !          1020: #define MUNIZ(q) ((q)&&INT(q)&&mpz_cmp_si((BDY((Z)(q))),-1)==0)
        !          1021: #define UNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==1))
        !          1022: #define MUNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==-1))
        !          1023: #define EVENZ(n) ((!(n))||(INT(n)&&mpz_tstbit(((Z)(n))->body,0)==0))
        !          1024:
        !          1025: /* special macros for private memory management */
        !          1026:
        !          1027: #define NV(p) ((p)->nv)
        !          1028: #define C(p) ((p)->c)
        !          1029: #if 0
        !          1030: #define ITOS(p) (((unsigned long)(p))&0x7fffffff)
        !          1031: #define STOI(i) ((P)((unsigned long)(i)|0x80000000))
        !          1032: #else
        !          1033: #define ITOS(p) (((unsigned long)(p)))
        !          1034: #define STOI(i) ((P)((unsigned long)(i)))
        !          1035: #endif
        !          1036:
        !          1037: /* immediate GFS representation */
        !          1038:
        !          1039: #define IFTOF(p) ((int)(((unsigned long)(p))&0x7fffffff))
        !          1040: #define FTOIF(i) ((int)(((unsigned long)(i)|0x80000000)))
        !          1041:
        !          1042: struct cdl {
        !          1043:   Obj c;
        !          1044:   DL d;
        !          1045: };
        !          1046:
        !          1047: struct cdlm {
        !          1048:   int c;
        !          1049:   DL d;
        !          1050: };
        !          1051:
        !          1052: extern MP _mp_free_list;
        !          1053: extern DP _dp_free_list;
        !          1054: extern DL _dl_free_list;
        !          1055: extern int current_dl_length;
        !          1056:
        !          1057: #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)
        !          1058: #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)))
        !          1059: #define _NEWMP(m) if(!_mp_free_list)_MP_alloc(); (m)=_mp_free_list; _mp_free_list = NEXT(_mp_free_list)
        !          1060: #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)
        !          1061:
        !          1062: #define _NEXTMP(r,c) \
        !          1063: if(!(r)){_NEWMP(r);(c)=(r);}else{_NEWMP(NEXT(c));(c)=NEXT(c);}
        !          1064:
        !          1065: #define _NEXTMP2(r,c,s) \
        !          1066: if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
        !          1067:
        !          1068: #define _FREEDL(m) *((DL *)m)=_dl_free_list; _dl_free_list=(m)
        !          1069: #define _FREEMP(m) NEXT(m)=_mp_free_list; _mp_free_list=(m)
        !          1070: #define _FREEDP(m) BDY(m)=(MP)_dp_free_list; _dp_free_list=(m)
        !          1071:
        !          1072: #define MUL_WEIGHT(a,i) (current_dl_weight_vector?(a)*current_dl_weight_vector[i]:(a))
        !          1073:
        !          1074: /* externals */
        !          1075: #if 0
        !          1076: double NatToReal();
        !          1077: double RatnToReal();
        !          1078: #endif
        !          1079:
        !          1080: extern struct oR oUNIR;
        !          1081: extern struct oZ oUNIZ;
        !          1082: extern struct oMQ oUNIMQ;
        !          1083: extern struct oN oUNIN;
        !          1084: extern struct oUP2 oONEUP2;
        !          1085: extern struct oV oVAR[];
        !          1086: extern struct oV oPVAR[];
        !          1087: extern struct oVL oVLIST[];
        !          1088: extern struct oVL oPVLIST[];
        !          1089: extern VL CO,ALG,LASTCO;
        !          1090: extern VL PVL;
        !          1091: extern R ONER;
        !          1092: extern Z ONE;
        !          1093: extern Z TWO;
        !          1094: extern MQ ONEM;
        !          1095: extern LM ONELM;
        !          1096: extern UP2 ONEUP2;
        !          1097: extern mpz_t ONEMPZ;
        !          1098:
        !          1099: extern FILE *asir_out;
        !          1100: #if defined(__GNUC__)
        !          1101: extern const int sprime[];
        !          1102: #else
        !          1103: extern int sprime[];
        !          1104: #endif
        !          1105:
        !          1106: extern void (*addnumt[])();
        !          1107: extern void (*subnumt[])();
        !          1108: extern void (*mulnumt[])();
        !          1109: extern void (*divnumt[])();
        !          1110: extern void (*pwrnumt[])();
        !          1111: extern int (*cmpnumt[])();
        !          1112: extern void (*chsgnnumt[])();
        !          1113:
        !          1114: extern int current_mod;
        !          1115: extern GEN_UP2 current_mod_gf2n;
        !          1116: extern int lm_lazy;
        !          1117: extern int current_ff;
        !          1118: extern V up_var;
        !          1119: extern V up2_var;
        !          1120: extern P current_gfs_ext;
        !          1121: extern int current_gfs_p;
        !          1122: extern int current_gfs_q;
        !          1123: extern int current_gfs_q1;
        !          1124: extern int *current_gfs_plus1;
        !          1125: extern int *current_gfs_ntoi;
        !          1126: extern int *current_gfs_iton;
        !          1127:
        !          1128: extern int *current_dl_weight_vector;
        !          1129:
        !          1130: /* prototypes */
        !          1131: int compui(VL,USINT,USINT);
        !          1132: int compbytearray(VL,BYTEARRAY,BYTEARRAY);
        !          1133:
        !          1134: void powermodup(UP,UP *);
        !          1135: void hybrid_powermodup(UP,UP *);
        !          1136:
        !          1137: void powertabup(UP,UP,UP *);
        !          1138: void hybrid_powertabup(UP,UP,UP *);
        !          1139:
        !          1140: void powermod1up(UP,UP *);
        !          1141: void hybrid_rembymulup_special(int,UP,UP,UP,UP *);
        !          1142: void hybrid_tmulup(int,UP,UP,int,UP *);
        !          1143: void hybrid_squareup(int,UP,UP *);
        !          1144: void hybrid_mulup(int,UP,UP,UP *);
        !          1145:
        !          1146: int cmpdl_composite(int,DL,DL);
        !          1147: int cmpdl_matrix(int,DL,DL);
        !          1148: int cmpdl_order_pair(int,DL,DL);
        !          1149: int cmpdl_elim(int,DL,DL);
        !          1150: int cmpdl_blexrev(int,DL,DL);
        !          1151: int cmpdl_bgradrev(int,DL,DL);
        !          1152: int cmpdl_brevrev(int,DL,DL);
        !          1153: int cmpdl_brevgradlex(int,DL,DL);
        !          1154: int cmpdl_bgradlex(int,DL,DL);
        !          1155: int cmpdl_blex(int,DL,DL);
        !          1156: int cmpdl_revgradlex(int,DL,DL);
        !          1157: int cmpdl_gradlex(int,DL,DL);
        !          1158: int cmpdl_revlex(int,DL,DL);
        !          1159: int cmpdl_lex(int,DL,DL);
        !          1160:
        !          1161: void adddv(VL,DPV,DPV,DPV *);
        !          1162: void subdv(VL,DPV,DPV,DPV *);
        !          1163: void muldv(VL,DP,DPV,DPV *);
        !          1164: void chsgndv(DPV,DPV *);
        !          1165: int compdv(VL,DPV,DPV);
        !          1166:
        !          1167: void adddpm(VL,DPM,DPM,DPM *);
        !          1168: void subdpm(VL,DPM,DPM,DPM *);
        !          1169: void mulobjdpm(VL,Obj,DPM,DPM *);
        !          1170: void chsgndpm(DPM,DPM *);
        !          1171: int compdpm(VL,DPM,DPM);
        !          1172:
        !          1173: void _printdp(DP);
        !          1174: void _dp_sp_mod(DP,DP,int,DP *);
        !          1175: void _dp_mod(DP,int,NODE,DP *);
        !          1176: void _dp_red_mod(DP,DP,int,DP *);
        !          1177: void _dtop_mod(VL,VL,DP,P *);
        !          1178: void _mulmdm(VL,int,DP,MP,DP *);
        !          1179: void _mulmd(VL,int,DP,DP,DP *);
        !          1180: void _chsgnmd(int,DP,DP *);
        !          1181: void _submd(VL,int,DP,DP,DP *);
        !          1182: void _addmd(VL,int,DP,DP,DP *);
        !          1183: void _mdtop(VL,int,VL,DP,P *);
        !          1184: void divsmdc(VL,int,DP,P,DP *);
        !          1185: void mulmdc(VL,int,DP,P,DP *);
        !          1186: void mulmdm(VL,int,DP,MP,DP *);
        !          1187: void mulmd(VL,int,DP,DP,DP *);
        !          1188: void chsgnmd(int,DP,DP *);
        !          1189: void submd(VL,int,DP,DP,DP *);
        !          1190: void addmd(VL,int,DP,DP,DP *);
        !          1191: void mdtop(VL,int,VL,DP,P *);
        !          1192: void mptomd(VL,int,VL,P,DP *);
        !          1193: void ptomd(VL,int,VL,P,DP *);
        !          1194: int p_mag(P);
        !          1195: int z_bits(Q);
        !          1196: void rtime_init(void);
        !          1197: void setmod_gf2n(P);
        !          1198: void mt_sgenrand(unsigned long);
        !          1199: unsigned long mt_genrand(void);
        !          1200: #if defined(VISUAL) || defined(__MINGW32__)
        !          1201: void srandom(unsigned int);
        !          1202: unsigned int random(void);
        !          1203: #endif
        !          1204: void GC_free(void *);
        !          1205: void FFT_primes(int,int *,int *,int *);
        !          1206: int FFT_pol_product(unsigned int,unsigned int *, unsigned int,unsigned int *,
        !          1207:   unsigned int *,int,unsigned int *);
        !          1208: int FFT_pol_square(unsigned int,unsigned int *,
        !          1209:   unsigned int *,int,unsigned int *);
        !          1210: void dcptolist(DCP,LIST *);
        !          1211: void gcdprsmp(VL,int,P,P,P *);
        !          1212: void mult_mod_tab(UM,int,UM *,UM,int);
        !          1213: int nfctr_mod(UM,int);
        !          1214: int irred_check(UM,int);
        !          1215: void modfctrp(P,int,int,DCP *);
        !          1216: void pf_init(void);
        !          1217: void ptolmp(P,P *);
        !          1218: void lmptop(P,P *);
        !          1219: void ulmptoum(int,UP,UM);
        !          1220: void objtobobj(int,Obj,Obj *);
        !          1221: void bobjtoobj(int,Obj,Obj *);
        !          1222: void numtobnum(int,Num,Num *);
        !          1223: void bnumtonum(int,Num,Num *);
        !          1224: void ptobp(int,P,P *);
        !          1225: void bptop(int,P,P *);
        !          1226: void listtoblist(int,LIST,LIST *);
        !          1227: void blisttolist(int,LIST,LIST *);
        !          1228: void vecttobvect(int,VECT,VECT *);
        !          1229: void bvecttovect(int,VECT,VECT *);
        !          1230: void mattobmat(int,MAT,MAT *);
        !          1231: void bmattomat(int,MAT,MAT *);
        !          1232: void kmulum(int,UM,UM,UM);
        !          1233: void saveobj(FILE *,Obj);
        !          1234: void endian_init(void);
        !          1235: void write_char(FILE *,unsigned char *);
        !          1236: void write_short(FILE *,unsigned short *);
        !          1237: void write_int(FILE *,unsigned int *);
        !          1238: void write_double(FILE *,double *);
        !          1239: void write_intarray(FILE *,unsigned int *,int);
        !          1240: void write_string(FILE *,unsigned char *,int);
        !          1241: void savestr(FILE *,char *);
        !          1242: void loadstr(FILE *,char **);
        !          1243: void savevl(FILE *,VL);
        !          1244: void loadvl(FILE *);
        !          1245: void skipvl(FILE *);
        !          1246: void savev(FILE *,V);
        !          1247: void loadv(FILE *,V *);
        !          1248: int save_convv(V);
        !          1249: V load_convv(int);
        !          1250: void swap_bytes(char *,int,int);
        !          1251: void read_char(FILE *,unsigned char *);
        !          1252: void read_short(FILE *,unsigned short *);
        !          1253: void read_int(FILE *,unsigned int *);
        !          1254: void read_double(FILE *,double *);
        !          1255: void read_intarray(FILE *,unsigned int *,int);
        !          1256: void read_string(FILE *,unsigned char *,int);
        !          1257: void loadobj(FILE *,Obj *);
        !          1258: void invum(int,UM,UM,UM);
        !          1259: void addarray_to(unsigned int *,int,unsigned int *,int);
        !          1260: void muln_1(unsigned int *,int,unsigned int,unsigned int *);
        !          1261: unsigned int divn_1(unsigned int *,int,unsigned int,unsigned int *);
        !          1262: void ptoup(P,UP *);
        !          1263: void uptop(UP,P *);
        !          1264: void printnum(Num);
        !          1265: void printv(VL,V);
        !          1266: void kmulq(Q,Q,Q *);
        !          1267: void simplm(LM,LM *);
        !          1268: void qtolm(Q,LM *);
        !          1269: int qpcheck(Obj);
        !          1270: int headsgn(P);
        !          1271: void adjsgn(P,DCP);
        !          1272: void setmod_g2n(P);
        !          1273: void simpgf2n(GF2N,GF2N *);
        !          1274: void ptogf2n(Obj,GF2N *);
        !          1275: void gf2ntop(GF2N,P *);
        !          1276: void gf2ntovect(GF2N,VECT *);
        !          1277: void squaregf2n(GF2N,GF2N *);
        !          1278: void randomgf2n(GF2N *);
        !          1279: void invgf2n(GF2N,GF2N *);
        !          1280: int qcoefp(Obj);
        !          1281: int qcoefr(Obj);
        !          1282: size_t get_allocwords(void);
        !          1283: double get_clock(void);
        !          1284: void get_eg(struct oEGT *);
        !          1285: void printtime(struct oEGT *,struct oEGT *,double);
        !          1286: void init_eg(struct oEGT *);
        !          1287: void add_eg(struct oEGT *,struct oEGT *,struct oEGT *);
        !          1288: void print_eg(char *,struct oEGT *);
        !          1289: void print_split_eg(struct oEGT *,struct oEGT *);
        !          1290: void print_split_e(struct oEGT *,struct oEGT *);
        !          1291: void suspend_timer(void);
        !          1292: void resume_timer(void);
        !          1293: void reset_engine(void);
        !          1294: void notdef(VL,Obj,Obj,Obj *);
        !          1295: void error(char *);
        !          1296: void ptoup2(P,UP2 *);
        !          1297: void ptoup2_sparse(P,UP2 *);
        !          1298: void up2top(UP2,P *);
        !          1299: void up2tovect(UP2,VECT *);
        !          1300: void up2toz(UP2,Z *);
        !          1301: void ztoup2(Z,UP2 *);
        !          1302: void gen_simpup2(UP2,GEN_UP2,UP2 *);
        !          1303: void gen_simpup2_destructive(UP2,GEN_UP2);
        !          1304: void gen_invup2(UP2,GEN_UP2,UP2 *);
        !          1305: void simpup2(UP2,UP2,UP2 *);
        !          1306: int degup2(UP2);
        !          1307: int degup2_sparse(UP2);
        !          1308: int degup2_1(unsigned int);
        !          1309: void addup2(UP2,UP2,UP2 *);
        !          1310: void subup2(UP2,UP2,UP2 *);
        !          1311: void mulup2_n1(unsigned int *,int,unsigned int,unsigned int *);
        !          1312: void mulup2_nh(unsigned int *,int,unsigned int,unsigned int *);
        !          1313: void _mulup2_1(UP2,unsigned int,UP2);
        !          1314: void _mulup2_h(UP2,unsigned int,UP2);
        !          1315: void mulup2(UP2,UP2,UP2 *);
        !          1316: void _kmulup2_(unsigned int *,unsigned int *,int,unsigned int *);
        !          1317: void _mulup2_nn(unsigned int *,unsigned int *,int,unsigned int *);
        !          1318: void _mulup2(UP2,UP2,UP2);
        !          1319: void _mulup2_(_UP2,_UP2,_UP2);
        !          1320: void squareup2(UP2,UP2 *);
        !          1321: void _adjup2(UP2);
        !          1322: void _adjup2_(_UP2);
        !          1323: void _addup2(UP2,UP2,UP2);
        !          1324: void _addup2_destructive(UP2,UP2);
        !          1325: void _addup2_(_UP2,_UP2,_UP2);
        !          1326: void _addtoup2_(_UP2,_UP2);
        !          1327: unsigned int mulup2_bb(unsigned int,unsigned int);
        !          1328: void init_up2_tab(void);
        !          1329: unsigned int quoup2_11(unsigned int,unsigned int);
        !          1330: void divup2_1(unsigned int,unsigned int,int,int,unsigned int *,unsigned int *);
        !          1331: void qrup2(UP2,UP2,UP2 *,UP2 *);
        !          1332: void _qrup2(UP2,UP2,UP2,UP2);
        !          1333: void remup2(UP2,UP2,UP2 *);
        !          1334: void _remup2(UP2,UP2,UP2);
        !          1335: void remup2_sparse(UP2,UP2,UP2 *);
        !          1336: void remup2_sparse_destructive(UP2,UP2);
        !          1337: void remup2_type1_destructive(UP2,int);
        !          1338: void remup2_3_destructive(UP2,UP2);
        !          1339: void remup2_5_destructive(UP2,UP2);
        !          1340: void _invup2_1(unsigned int,unsigned int,unsigned int *,unsigned int *);
        !          1341: void _gcdup2_1(unsigned int,unsigned int,unsigned int *);
        !          1342: void up2_init_eg(void);
        !          1343: void up2_show_eg(void);
        !          1344: void invup2(UP2,UP2,UP2 *);
        !          1345: void gcdup2(UP2,UP2,UP2 *);
        !          1346: void chsgnup2(UP2,UP2 *);
        !          1347: void pwrmodup2(UP2,Z,UP2,UP2 *);
        !          1348: void pwrmodup2_sparse(UP2,Z,UP2,UP2 *);
        !          1349: int compup2(UP2,UP2);
        !          1350: void printup2(UP2);
        !          1351: void _copyup2(UP2,UP2);
        !          1352: void _bshiftup2(UP2,int,UP2);
        !          1353: void _bshiftup2_destructive(UP2,int);
        !          1354: void diffup2(UP2,UP2 *);
        !          1355: int sqfrcheckup2(UP2);
        !          1356: int irredcheckup2(UP2);
        !          1357: int irredcheck_dddup2(UP2);
        !          1358: void _copy_up2bits(UP2,unsigned int **,int);
        !          1359: void _print_frobmat(unsigned int **,int,int);
        !          1360: int compute_multiplication_matrix(P,GF2MAT *);
        !          1361: void compute_change_of_basis_matrix(P,P,int,GF2MAT *,GF2MAT *);
        !          1362: int compute_representation_conversion_matrix(P,GF2MAT *,GF2MAT *);
        !          1363: void mul_nb(GF2MAT,unsigned int *,unsigned int *,unsigned int *);
        !          1364: void leftshift(unsigned int *,int);
        !          1365: void mat_to_gf2mat(MAT,unsigned int ***);
        !          1366: void gf2mat_to_mat(unsigned int **,int,MAT *);
        !          1367: void mulgf2mat(int,unsigned int **,unsigned int **,unsigned int **);
        !          1368: void mulgf2vectmat(int,unsigned int *,unsigned int **,unsigned int *);
        !          1369: int mulgf2vectvect(int,unsigned int *,unsigned int *);
        !          1370: int invgf2mat(int,unsigned int **,unsigned int **);
        !          1371: void _mulup2_11(unsigned int,unsigned int,unsigned int *);
        !          1372: void _mulup2_22(unsigned int *,unsigned int *,unsigned int *);
        !          1373: void _mulup2_33(unsigned int *,unsigned int *,unsigned int *);
        !          1374: void _mulup2_44(unsigned int *,unsigned int *,unsigned int *);
        !          1375: void _mulup2_55(unsigned int *,unsigned int *,unsigned int *);
        !          1376: void _mulup2_66(unsigned int *,unsigned int *,unsigned int *);
        !          1377: void printup2_(unsigned int *,int);
        !          1378: void type1_bin_invup2(UP2,int,UP2 *);
        !          1379: int int_bits(int);
        !          1380:
        !          1381:
        !          1382: LUM LUMALLOC(int, int);
        !          1383: BM BMALLOC(int, int);
        !          1384: Obj ToAlg(Num);
        !          1385: UM *berlemain(register int, UM, UM *);
        !          1386: void Risa_GC_set_adj(int,int);
        !          1387: void Risa_GC_get_adj(int *,int *);
        !          1388: void *Risa_GC_malloc(size_t);
        !          1389: void *Risa_GC_malloc_atomic(size_t);
        !          1390: void *Risa_GC_realloc(void *,size_t);
        !          1391: void Risa_GC_free(void *);
        !          1392: void *Risa_GC_malloc_atomic_ignore_off_page(size_t);
        !          1393: void *GC_malloc(size_t);
        !          1394: void *GC_malloc_atomic(size_t);
        !          1395: void *GC_realloc(void *,size_t);
        !          1396: double RatnToReal(Q);
        !          1397: double pwrreal0(double,int);
        !          1398: double rtodbl(); /* XXX */
        !          1399: double mpfrtodbl(mpfr_t a);
        !          1400: int **almat(int,int);
        !          1401: pointer **almat_pointer(int,int);
        !          1402: int berlecnt(register int,UM);
        !          1403: int berlecntmain(register int,int,int,register int **);
        !          1404: int cmpalg(Num,Num);
        !          1405: int cmpbf(Num,Num);
        !          1406: int cmpcplx(Num,Num);
        !          1407: int cmpq(Q,Q);
        !          1408: int cmpreal(Real,Real);
        !          1409: int cmpmi(MQ,MQ);
        !          1410: int cmplm(LM,LM);
        !          1411: int compmat(VL,MAT,MAT);
        !          1412: int compnum(VL,Num,Num);
        !          1413: int compp(VL,P,P);
        !          1414: int compr(VL,Obj,Obj);
        !          1415: int equalp(VL,P,P);
        !          1416: int equalr(VL,Obj,Obj);
        !          1417: int compstr(VL,STRING,STRING);
        !          1418: int compvect(VL,VECT,VECT);
        !          1419: int ctest(P,ML,int,int *);
        !          1420: int cycchk(P);
        !          1421: int dbound(V,P);
        !          1422: int dcomp(P,P);
        !          1423: int deg(V,P);
        !          1424: int degtest(int,int *,ML,int);
        !          1425: int divcheck(VL,P *,int,P,P);
        !          1426: int divtdcpz(VL,P,P,P *);
        !          1427: int divtpz(VL,P,P,P *);
        !          1428: int divum(register int,UM,UM,UM);
        !          1429: int dm(int,int,int *);
        !          1430: int dmb(int,int,int,int *);
        !          1431: int dma(int,int,int,int *);
        !          1432: int dmab(int,int,int,int,int *);
        !          1433: int dmar(int,int,int,int);
        !          1434: int dtestmain(P,Q,ML,int,int *,P *,P *);
        !          1435: int geldb(VL,P);
        !          1436: int getchomdeg(V,P);
        !          1437: int getdeg(V,P);
        !          1438: int getlchomdeg(V,P,int *);
        !          1439: int get_lprime(int);
        !          1440: int homdeg(P);
        !          1441: unsigned int invm(unsigned int,int);
        !          1442: int iscycm(P);
        !          1443: int iscycp(P);
        !          1444: int lengthp(P);
        !          1445: int mig(int,int,P);
        !          1446: int mignotte(int,P);
        !          1447: int minimain(register int,int,int,register int **);
        !          1448: int ncombi(int,int,int,int *);
        !          1449: int nextbin(VN,int);
        !          1450: int nmonop(P);
        !          1451: int pcoef(VL,VL,P,P *);
        !          1452: int pcoef0(VL,VL,P,P *);
        !          1453: unsigned int pwrm(register int,register int,int);
        !          1454: int sqfrchk(P);
        !          1455: int ucmpp(P,P);
        !          1456: int valideval(VL,DCP,VN);
        !          1457: int zerovpchk(VL,P,VN);
        !          1458:
        !          1459: void addgf2n(GF2N,GF2N,GF2N *);
        !          1460: void subgf2n(GF2N,GF2N,GF2N *);
        !          1461: void mulgf2n(GF2N,GF2N,GF2N *);
        !          1462: void divgf2n(GF2N,GF2N,GF2N *);
        !          1463: void chsgngf2n(GF2N,GF2N *);
        !          1464: void pwrgf2n(GF2N,Z, GF2N *);
        !          1465: int cmpgf2n(GF2N,GF2N);
        !          1466:
        !          1467: void addgfpn(GFPN,GFPN,GFPN *);
        !          1468: void subgfpn(GFPN,GFPN,GFPN *);
        !          1469: void mulgfpn(GFPN,GFPN,GFPN *);
        !          1470: void divgfpn(GFPN,GFPN,GFPN *);
        !          1471: void chsgngfpn(GFPN,GFPN *);
        !          1472: void pwrgfpn(GFPN,Z, GFPN *);
        !          1473: int cmpgfpn(GFPN,GFPN);
        !          1474:
        !          1475: void addgfs(GFS,GFS,GFS *);
        !          1476: void subgfs(GFS,GFS,GFS *);
        !          1477: void mulgfs(GFS,GFS,GFS *);
        !          1478: void divgfs(GFS,GFS,GFS *);
        !          1479: void chsgngfs(GFS,GFS *);
        !          1480: void pwrgfs(GFS,Z, GFS *);
        !          1481: int cmpgfs(GFS,GFS);
        !          1482:
        !          1483: void addgfsn(GFSN,GFSN,GFSN *);
        !          1484: void subgfsn(GFSN,GFSN,GFSN *);
        !          1485: void mulgfsn(GFSN,GFSN,GFSN *);
        !          1486: void divgfsn(GFSN,GFSN,GFSN *);
        !          1487: void chsgngfsn(GFSN,GFSN *);
        !          1488: int cmpgfsn(GFSN,GFSN);
        !          1489:
        !          1490: void adddalg(DAlg,DAlg,DAlg *);
        !          1491: void subdalg(DAlg,DAlg,DAlg *);
        !          1492: void muldalg(DAlg,DAlg,DAlg *);
        !          1493: void divdalg(DAlg,DAlg,DAlg *);
        !          1494: void chsgndalg(DAlg,DAlg *);
        !          1495: void pwrdalg(DAlg,Z, DAlg *);
        !          1496: int cmpdalg(DAlg,DAlg);
        !          1497:
        !          1498: void addalg(Num,Num,Num *);
        !          1499: void addbf(Num,Num,Num *);
        !          1500: void addcplx(Num,Num,Num *);
        !          1501: void addmat(VL,MAT,MAT,MAT *);
        !          1502: void addmp(VL,int,P,P,P *);
        !          1503: void addmpq(int,P,P,P *);
        !          1504: void addmptoc(VL,int,P,P,P *);
        !          1505: void addmq(int,MQ,MQ,MQ *);
        !          1506: void addnum(VL,Num,Num,Num *);
        !          1507: void addp(VL,P,P,P *);
        !          1508: void addpadic(int,int,unsigned int *,unsigned int *);
        !          1509: void addpq(P,P,P *);
        !          1510: void addptoc(VL,P,P,P *);
        !          1511: void addr(VL,Obj,Obj,Obj *);
        !          1512: void addreal(Num,Num,Real *);
        !          1513: void addmi(MQ,MQ,MQ *);
        !          1514: void addlm(LM,LM,LM *);
        !          1515: void addstr(VL,STRING,STRING,STRING *);
        !          1516: void addum(int,UM,UM,UM);
        !          1517: void addvect(VL,VECT,VECT,VECT *);
        !          1518: void addquote(VL,QUOTE,QUOTE,QUOTE *);
        !          1519: void afctr(VL,P,P,DCP *);
        !          1520: void afctrmain(VL,P,P,int,DCP *);
        !          1521: void affine(VL,P,VN,P *);
        !          1522: void affinemain(VL,P,V,int,P *,P *);
        !          1523: void berle(int,int,P,ML *);
        !          1524: void cbound(VL,P,Q *);
        !          1525: void chnrem(int,V,P,Z,UM,P *,Z *);
        !          1526: void chnremp(VL,int,P,Z,P,P *);
        !          1527: void chsgnalg(Num,Num *);
        !          1528: void chsgnbf(Num a,Num *);
        !          1529: void chsgncplx(Num,Num *);
        !          1530: void chsgnmat(MAT,MAT *);
        !          1531: void chsgnmp(int,P,P *);
        !          1532: void chsgnnum(Num,Num *);
        !          1533: void chsgnp(P,P *);
        !          1534: void chsgnq(Q,Q *);
        !          1535: void chsgnr(Obj,Obj *);
        !          1536: void chsgnreal(Num,Num *);
        !          1537: void chsgnmi(MQ,MQ *);
        !          1538: void chsgnlm(LM,LM *);
        !          1539: void chsgnvect(VECT,VECT *);
        !          1540: void chsgnquote(QUOTE,QUOTE *);
        !          1541: void clctv(VL,P,VL *);
        !          1542: void clctvr(VL,Obj,VL *);
        !          1543: void cm2p(Z,Z,P,P *);
        !          1544: void cmax(P,Q *);
        !          1545: void cmp(Z,P,P *);
        !          1546: void coefp(P,int,P *);
        !          1547: void cpylum(int,LUM,LUM);
        !          1548: void cpyum(UM,UM);
        !          1549: void csump(VL,P,Q *);
        !          1550: void cycm(V,register int,DCP *);
        !          1551: void cycp(V,register int,DCP *);
        !          1552: void degp(V,P,Z *);
        !          1553: void degum(UM,int);
        !          1554: void detmp(VL,int,P **,int,P *);
        !          1555: void detp(VL,P **,int,P *);
        !          1556: void diffp(VL,P,V,P *);
        !          1557: void diffum(register int,UM,UM);
        !          1558: void divalg(Num,Num,Num *);
        !          1559: void divbf(Num,Num,Num *);
        !          1560: void divcp(P,Q,P *);
        !          1561: void divcplx(Num,Num,Num *);
        !          1562: void divmat(VL,Obj,Obj,Obj *);
        !          1563: void divmq(int,MQ,MQ,MQ *);
        !          1564: void divnum(VL,Num,Num,Num *);
        !          1565: void divr(VL,Obj,Obj,Obj *);
        !          1566: void divreal(Num,Num,Real *);
        !          1567: void divmi(MQ,MQ,MQ *);
        !          1568: void divlm(LM,LM,LM *);
        !          1569: void divsdcmp(VL,int,P,P,P *);
        !          1570: void divsdcp(VL,P,P,P *);
        !          1571: void divsmp(VL,int,P,P,P *);
        !          1572: void divsp(VL,P,P,P *);
        !          1573: void divsrdcmp(VL,int,P,P,P *,P *);
        !          1574: void divsrdcp(VL,P,P,P *,P *);
        !          1575: void divsrmp(VL,int,P,P,P *,P *);
        !          1576: void divsrp(VL,P,P,P *,P *);
        !          1577: void divvect(VL,Obj,Obj,Obj *);
        !          1578: void divquote(VL,QUOTE,QUOTE,QUOTE *);
        !          1579: void dtest(P,ML,int,DCP *);
        !          1580: void dtestroot(int,int,P,LUM,struct oDUM *,DCP *);
        !          1581: void dtestroot1(int,int,P,LUM,P *);
        !          1582: void dtestsq(int,int,P,LUM,P *);
        !          1583: void dtestsql(P,ML,struct oDUM *,DCP *);
        !          1584: void ediffp(VL,P,V,P *);
        !          1585: void eucum(register int,UM,UM,UM,UM);
        !          1586: void exthp(VL,P,int,P *);
        !          1587: void exthpc(VL,V,P,int,P *);
        !          1588: void ezgcd1p(VL,P,P,P *);
        !          1589: void ezgcdhensel(P,int,UM,UM,ML *);
        !          1590: void ezgcdnp(VL,P,P *,int,P *);
        !          1591: void ezgcdnpp(VL,DCP,P *,int,P *);
        !          1592: void ezgcdnpz(VL,P *,int,P *);
        !          1593: void ezgcdp(VL,P,P,P *);
        !          1594: void ezgcdpp(VL,DCP,P,P *);
        !          1595: void ezgcdpz(VL,P,P,P *);
        !          1596: void fctrp(VL,P,DCP *);
        !          1597: void fctrwithmvp(VL,P,V,DCP *);
        !          1598: void gcda(VL,P,P,P,P *);
        !          1599: void gcdcp(VL,P,P *);
        !          1600: void gcdgen(P,ML,ML *);
        !          1601: void gcdmonomial(VL,DCP *,int,P *);
        !          1602: void gcdprsp(VL,P,P,P *);
        !          1603: void gcdum(register int,UM,UM,UM);
        !          1604: void getmindeg(V,P,Z *);
        !          1605: void henmain(LUM,ML,ML,ML *);
        !          1606: void henprep(P,ML,ML,ML *,ML *);
        !          1607: void hensel(int,int,P,ML *);
        !          1608: void hsq(int,int,P,int *,DCP *);
        !          1609: void intersectv(VL,VL,VL *);
        !          1610: void invl(Q,Q,Q *);
        !          1611: void invmq(int,MQ,MQ *);
        !          1612: void invq(Q,Q *);
        !          1613: void lgp(P,Z *,Z *);
        !          1614: void lumtop(V,int,int,LUM,P *);
        !          1615: void lumtop_unsigned(V v,int mod,int bound,LUM f,P *g);
        !          1616: void markv(VN,int,P);
        !          1617: void maxdegp(VL,P,VL *,P *);
        !          1618: void mergev(VL,VL,VL,VL *);
        !          1619: void mfctr(VL,P,DCP *);
        !          1620: void mfctrhen2(VL,VN,P,P,P,P,P,P,P *);
        !          1621: void mfctrmain(VL,P,DCP *);
        !          1622: void mfctrwithmv(VL,P,V,DCP *);
        !          1623: void min_common_vars_in_coefp(VL,P,VL *,P *);
        !          1624: void minchdegp(VL,P,VL *,P *);
        !          1625: void mindegp(VL,P,VL *,P *);
        !          1626: void mini(register int,UM,UM);
        !          1627: void minlcdegp(VL,P,VL *,P *);
        !          1628: void mkbcm(int,int,MQ *);
        !          1629: void mkssum(V,int,int,int,P *);
        !          1630: void monomialfctr(VL,P,P *,DCP *);
        !          1631: void mptop(P,P *);
        !          1632: void mptoum(P,UM);
        !          1633: void msqfr(VL,P,DCP *);
        !          1634: void msqfrmain(VL,P,DCP *);
        !          1635: void msqfrmainmain(VL,P,VN,P,DCP,DCP *,P *);
        !          1636: void mulalg(Num,Num,Num *);
        !          1637: void mulbf(Num,Num,Num *);
        !          1638: void mulcplx(Num,Num,Num *);
        !          1639: void mullum(int,int,LUM,LUM,LUM);
        !          1640: void mullumarray(P,ML,int,int *,P *);
        !          1641: void mulmat(VL,Obj,Obj,Obj *);
        !          1642: void mulmatmat(VL,MAT,MAT,MAT *);
        !          1643: void mulmatvect(VL,MAT,VECT,VECT *);
        !          1644: void mulmp(VL,int,P,P,P *);
        !          1645: void mulmpc(VL,int,P,P,P *);
        !          1646: void mulmpq(int,P,P,P *);
        !          1647: void mulmq(int,MQ,MQ,MQ *);
        !          1648: void mulnum(VL,Num,Num,Num *);
        !          1649: void mulp(VL,P,P,P *);
        !          1650: void mulpadic(int,int,unsigned int *,unsigned int *,unsigned int *);
        !          1651: void mulpc(VL,P,P,P *);
        !          1652: void mulpq(P,P,P *);
        !          1653: void mulr(VL,Obj,Obj,Obj *);
        !          1654: void mulreal(Num,Num,Real *);
        !          1655: void mulmi(MQ,MQ,MQ *);
        !          1656: void mullm(LM,LM,LM *);
        !          1657: void mulrmat(VL,Obj,MAT,MAT *);
        !          1658: void mulrvect(VL,Obj,VECT,VECT *);
        !          1659: void mulsgn(VN,VN,int,VN);
        !          1660: void mulsum(register int,UM,register int,UM);
        !          1661: void mulum(register int,UM,UM,UM);
        !          1662: void mulvect(VL,Obj,Obj,Obj *);
        !          1663: void mulquote(VL,QUOTE,QUOTE,QUOTE *);
        !          1664: void mulvectmat(VL,VECT,MAT,VECT *);
        !          1665: void next(VN);
        !          1666: void nezgcdnp_sqfr_primitive(VL,P,P *,int,P *);
        !          1667: void nezgcdnpp(VL,DCP,P *,int,P *);
        !          1668: void nezgcdnpz(VL,P *,int,P *);
        !          1669: void nezgcdnpzmain(VL,P *,int,P *);
        !          1670: void nglob_init(void);
        !          1671: void norm(P,Q *);
        !          1672: void norm1(P,P *);
        !          1673: void norm1c(P,Q *);
        !          1674: void normalizemp(int,P);
        !          1675: void nthrootz(Z,int,Z *);
        !          1676: int ztonadic(int,Z,unsigned int **);
        !          1677: void nuezgcdnpzmain(VL,P *,int,P *);
        !          1678: void padictoq(int,int,int *,Z *);
        !          1679: void padictoq_unsigned(int,int,int *,Z *);
        !          1680: void risa_pari_init(void);
        !          1681: void pcp(VL,P,P *,P *);
        !          1682: void pderivr(VL,Obj,V,Obj *);
        !          1683: void pdiva(VL,P,P,P,P *);
        !          1684: void pinva(P,P,P *);
        !          1685: void plisttop(P *,V,int,P *);
        !          1686: void pmonic(VL,P,P,P *);
        !          1687: void pqra(VL,P,P,P,P *,P *);
        !          1688: void premmp(VL,int,P,P,P *);
        !          1689: void premp(VL,P,P,P *);
        !          1690: void ptolum(int,int,P,LUM);
        !          1691: void ptomp(int,P,P *);
        !          1692: void ptoum(int,P,UM);
        !          1693: void ptozp(P,int,Q *,P *);
        !          1694: void ptozp0(P,P *);
        !          1695: void pwralg(Num,Num,Num *);
        !          1696: void pwrbf(Num,Num,Num *);
        !          1697: void pwrcplx(Num,Num,Num *);
        !          1698: void pwrcplx0(Num,int,Num *);
        !          1699: void pwrlum(int,int,LUM,int,LUM);
        !          1700: void pwrmat(VL,MAT,Obj,MAT *);
        !          1701: void pwrmatmain(VL,MAT,int,MAT *);
        !          1702: void pwrmp(VL,int,P,Z,P *);
        !          1703: void pwrmq(int,MQ,Q,MQ *);
        !          1704: void pwrnum(VL,Num,Num,Num *);
        !          1705: void pwrp(VL,P,Z,P *);
        !          1706: void pwrq(Q,Q,Q *);
        !          1707: void pwrr(VL,Obj,Obj,Obj *);
        !          1708: void pwrquote(VL,QUOTE,QUOTE,QUOTE *);
        !          1709: void pwrreal(Num,Num,Real *);
        !          1710: void pwrmi(MQ,Q,MQ *);
        !          1711: void pwrum(int,UM,int,UM);
        !          1712: void asir_reallocarray(char **,int *,int *,int);
        !          1713: void reductr(VL,Obj,Obj *);
        !          1714: void reimtocplx(Num,Num,Num *);
        !          1715: void rema(VL,P,P,P,P *);
        !          1716: void remq(Q,Q,Q *);
        !          1717: void remsdcp(VL,P,P,P *);
        !          1718: void reordermp(VL,int,VL,P,P *);
        !          1719: void reorderp(VL,VL,P,P *);
        !          1720: void reordvar(VL,V,VL *);
        !          1721: void res_ch_det(VL,V,P,P,P *);
        !          1722: void res_detmp(VL,int,V,P,P,P *);
        !          1723: void restore(VL,P,VN,P *);
        !          1724: void resultmp(VL,int,V,P,P,P *);
        !          1725: void resultp(VL,V,P,P,P *);
        !          1726: void setlum(int,int,LUM);
        !          1727: void sort_by_deg(int,P *,P *);
        !          1728: void sort_by_deg_rev(int,P *,P *);
        !          1729: void sortfs(DCP *);
        !          1730: void sortfsrev(DCP *);
        !          1731: void sortplist(P *,int);
        !          1732: void sortplistbyhomdeg(P *,int);
        !          1733: void sprs(VL,V,P,P,P *);
        !          1734: void sqa(VL,P,P,DCP *);
        !          1735: void sqfrp(VL,P,DCP *);
        !          1736: void sqfrum(int,int,P,int *,struct oDUM **,ML *);
        !          1737: void sqfrummain(int,UM,UM,struct oDUM **);
        !          1738: void sqrtz(Z,Z *);
        !          1739: void srch2(VL,V,P,P,P *);
        !          1740: void srchmp(VL,int,V,P,P,P *);
        !          1741: void srchump(int,P,P,P *);
        !          1742: void srcr(VL,V,P,P,P *);
        !          1743: void strtobf(char *,BF *);
        !          1744: void subalg(Num,Num,Num *);
        !          1745: void subbf(Num,Num,Num *);
        !          1746: void subcplx(Num,Num,Num *);
        !          1747: void submat(VL,MAT,MAT,MAT *);
        !          1748: void submp(VL,int,P,P,P *);
        !          1749: void submq(int,MQ,MQ,MQ *);
        !          1750: void subnum(VL,Num,Num,Num *);
        !          1751: void subp(VL,P,P,P *);
        !          1752: void subr(VL,Obj,Obj,Obj *);
        !          1753: void subreal(Num,Num,Real *);
        !          1754: void submi(MQ,MQ,MQ *);
        !          1755: void sublm(LM,LM,LM *);
        !          1756: void substmp(VL,int,P,V,P,P *);
        !          1757: void substp(VL,P,V,P,P *);
        !          1758: void substvp(VL,P,VN,P *);
        !          1759: void subum(int,UM,UM,UM);
        !          1760: void subvect(VL,VECT,VECT,VECT *);
        !          1761: void subquote(VL,QUOTE,QUOTE,QUOTE *);
        !          1762: void toreim(Num,Num *,Num *);
        !          1763: void ucsump(P,Q *);
        !          1764: void uexgcdnp(VL,P,P *,int,VN,Q,P *,P *,P *,P *,Z *);
        !          1765: void uezgcd1p(P,P,P *);
        !          1766: void uezgcdpp(DCP,P,P *);
        !          1767: void uezgcdpz(VL,P,P,P *);
        !          1768: void ufctr(P,int,DCP *);
        !          1769: void ufctrmain(P,int,DCP *);
        !          1770: void umtomp(V,UM,P *);
        !          1771: void umtop(V,UM,P *);
        !          1772: void usqp(P,DCP *);
        !          1773: void vntovl(VN,int,VL *);
        !          1774:
        !          1775: void saveerror(FILE *,ERR);
        !          1776: void saveui(FILE *,USINT);
        !          1777: void savedp(FILE *,DP);
        !          1778: void savestring(FILE *,STRING);
        !          1779: void savemat(FILE *,MAT);
        !          1780: void savevect(FILE *,VECT);
        !          1781: void savelist(FILE *,LIST);
        !          1782: void saver(FILE *,R);
        !          1783: void savep(FILE *,P);
        !          1784: void savegf2n(FILE *,GF2N);
        !          1785: void savegfpn(FILE *,GFPN);
        !          1786: void savegfs(FILE *,GFS);
        !          1787: void savedalg(FILE *,DAlg);
        !          1788: void savelm(FILE *,LM);
        !          1789: void savemi(FILE *,MQ);
        !          1790: void savecplx(FILE *,C);
        !          1791: void savebf(FILE *,BF);
        !          1792: void savereal(FILE *,Real);
        !          1793: void saveq(FILE *,Q);
        !          1794: void savenum(FILE *,Num);
        !          1795: void savepfins(FILE *,V);
        !          1796: void savegfmmat(FILE *,GFMMAT);
        !          1797: void savebytearray(FILE *,BYTEARRAY);
        !          1798: void savegfsn(FILE *,GFSN);
        !          1799:
        !          1800: void loaderror(FILE *,ERR *);
        !          1801: void loadui(FILE *,USINT *);
        !          1802: void loaddp(FILE *,DP *);
        !          1803: void loadstring(FILE *,STRING *);
        !          1804: void loadmat(FILE *,MAT *);
        !          1805: void loadvect(FILE *,VECT *);
        !          1806: void loadlist(FILE *,LIST *);
        !          1807: void loadr(FILE *,R *);
        !          1808: void loadp(FILE *,P *);
        !          1809: void loadgf2n(FILE *,GF2N *);
        !          1810: void loadgfpn(FILE *,GFPN *);
        !          1811: void loadgfs(FILE *,GFS *);
        !          1812: void loadgfsn(FILE *,GFSN *);
        !          1813: void loaddalg(FILE *,DAlg *);
        !          1814: void loadlm(FILE *,LM *);
        !          1815: void loadmi(FILE *,MQ *);
        !          1816: void loadcplx(FILE *,C *);
        !          1817: void loadbf(FILE *,BF *);
        !          1818: void loadreal(FILE *,Real *);
        !          1819: void loadq(FILE *,Q *);
        !          1820: void loadnum(FILE *,Num *);
        !          1821: void loadgfmmat(FILE *,GFMMAT *);
        !          1822: void loadbytearray(FILE *,BYTEARRAY *);
        !          1823: V loadpfins(FILE *);
        !          1824: void eucum2(int mod,UM f1,UM f2,UM a,UM b);
        !          1825: void clearum(UM p,int n);
        !          1826: BM BMALLOC(int dx,int dy);
        !          1827: int isequalum(UM f1,UM f2);
        !          1828: void dec_um(int p,int a,UM u);
        !          1829: void setmod_sf(int p,int n);
        !          1830: int search_defpoly_and_primitive_root(int p,int n,UM dp);
        !          1831: void generate_defpoly_um(int p,int n,UM dp);
        !          1832: int generate_primitive_root_enc(int p,int n,UM dp);
        !          1833: int mulremum_enc(int p,int n,UM dp,int a,int b);
        !          1834: void gfs_galois_action(GFS a,Q e,GFS *c);
        !          1835: void gfs_embed(GFS z,int k,int pm,GFS *c);
        !          1836: void qtogfs(Q a,GFS *c);
        !          1837: void mqtogfs(MQ a,GFS *c);
        !          1838: void gfstomq(GFS a,MQ *c);
        !          1839: void ntogfs(Obj a,GFS *b);
        !          1840: void addgfs(GFS a,GFS b,GFS *c);
        !          1841: void subgfs(GFS a,GFS b,GFS *c);
        !          1842: void mulgfs(GFS a,GFS b,GFS *c);
        !          1843: void divgfs(GFS a,GFS b,GFS *c);
        !          1844: void chsgngfs(GFS a,GFS *c);
        !          1845: int cmpgfs(GFS a,GFS b);
        !          1846: void randomgfs(GFS *r);
        !          1847: int _addsf(int a,int b);
        !          1848: int _chsgnsf(int a);
        !          1849: int _subsf(int a,int b);
        !          1850: int _mulsf(int a,int b);
        !          1851: int _invsf(int a);
        !          1852: int _divsf(int a,int b);
        !          1853: int _pwrsf(int a,int b);
        !          1854: int _onesf();
        !          1855: int _itosf(int n);
        !          1856: int _isonesf(int a);
        !          1857: int _randomsf();
        !          1858: int field_order_sf();
        !          1859: int characteristic_sf();
        !          1860: int extdeg_sf();
        !          1861: void addsfum(UM p1,UM p2,UM pr);
        !          1862: void subsfum(UM p1,UM p2,UM pr);
        !          1863: void gcdsfum(UM p1,UM p2,UM pr);
        !          1864: void mulsfum(UM p1,UM p2,UM pr);
        !          1865: void mulssfum(UM p,int n,UM pr);
        !          1866: void kmulsfum(UM n1,UM n2,UM nr);
        !          1867: void kmulsfummain(UM n1,UM n2,UM nr);
        !          1868: int divsfum(UM p1,UM p2,UM pq);
        !          1869: void diffsfum(UM f,UM fd);
        !          1870: void monicsfum(UM f);
        !          1871: int compsfum(UM a,UM b);
        !          1872: void mulsfbm(BM f1,BM f2,BM fr);
        !          1873: int degbm(BM f);
        !          1874: void addtosfbm(BM f,BM g);
        !          1875: void eucsfum(UM f1,UM f2,UM a,UM b);
        !          1876: void shiftsfum(UM f,int a,UM g);
        !          1877: void shiftsflum(int n,LUM f,int ev);
        !          1878: void shiftsfbm(BM f,int a);
        !          1879: void clearbm(int n,BM f);
        !          1880:
        !          1881: void ksquareum(int mod,UM n1,UM nr);
        !          1882: void extractum(UM n,int index,int len,UM nr);
        !          1883: void copyum(UM n1,UM n2);
        !          1884: void c_copyum(UM n,int len,int *p);
        !          1885: void kmulummain(int mod,UM n1,UM n2,UM nr);
        !          1886: void ksquareummain(int mod,UM n1,UM nr);
        !          1887:
        !          1888: void simp_ff(Obj p,Obj *rp);
        !          1889: void field_order_ff(Z *order);
        !          1890:
        !          1891: void random_lm(LM *r);
        !          1892: void setmod_lm(Z p);
        !          1893: void getmod_lm(Z *p);
        !          1894:
        !          1895: void qtolm(Q q,LM *l);
        !          1896: void addlm(LM a,LM b,LM *c);
        !          1897: void sublm(LM a,LM b,LM *c);
        !          1898: void mullm(LM a,LM b,LM *c);
        !          1899: void divlm(LM a,LM b,LM *c);
        !          1900: void chsgnlm(LM a,LM *c);
        !          1901: void pwrlm(LM a,Z b,LM *c);
        !          1902: int cmplm(LM a,LM b);
        !          1903: void simplm(LM a,LM *b);
        !          1904: void simplm_force(LM a,LM *b);
        !          1905:
        !          1906: void addlf(Z a,Z b,Z *c);
        !          1907: void sublf(Z a,Z b,Z *c);
        !          1908: void mullf(Z a,Z b,Z *c);
        !          1909: void divlf(Z a,Z b,Z *c);
        !          1910: void chsgnlf(Z a,Z *c);
        !          1911: int cmplf(Z a,Z b);
        !          1912: void simplf(Z a,Z *b);
        !          1913: void simplf_force(Z a,Z *b);
        !          1914: void setmod_lf(Z p);
        !          1915:
        !          1916: void setmod_gfpn(P p);
        !          1917: void getmod_gfpn(UP *up);
        !          1918: void ptogfpn(Obj q,GFPN *l);
        !          1919: void gfpntop(GFPN q,P *l);
        !          1920: void simpgfpn(GFPN n,GFPN *r);
        !          1921: void ntogfpn(Obj a,GFPN *b);
        !          1922: void addgfpn(GFPN a,GFPN b,GFPN *c);
        !          1923: void subgfpn(GFPN a,GFPN b,GFPN *c);
        !          1924: void mulgfpn(GFPN a,GFPN b,GFPN *c);
        !          1925: void squaregfpn(GFPN a,GFPN *c);
        !          1926: void divgfpn(GFPN a,GFPN b,GFPN *c);
        !          1927: void invgfpn(GFPN b,GFPN *c);
        !          1928: void chsgngfpn(GFPN a,GFPN *c);
        !          1929: int cmpgfpn(GFPN a,GFPN b);
        !          1930: void randomgfpn(GFPN *r);
        !          1931: void setmod_gfsn(UM p);
        !          1932: void getmod_gfsn(UM *up);
        !          1933: void simpgfsn(GFSN n,GFSN *r);
        !          1934: void ntogfsn(Obj a,GFSN *b);
        !          1935: void addgfsn(GFSN a,GFSN b,GFSN *c);
        !          1936: void subgfsn(GFSN a,GFSN b,GFSN *c);
        !          1937: void mulgfsn(GFSN a,GFSN b,GFSN *c);
        !          1938: void divgfsn(GFSN a,GFSN b,GFSN *c);
        !          1939: void invgfsn(GFSN b,GFSN *c);
        !          1940: void chsgngfsn(GFSN a,GFSN *c);
        !          1941: void pwrgfsn(GFSN a,Z b,GFSN *c);
        !          1942: int cmpgfsn(GFSN a,GFSN b);
        !          1943: void randomgfsn(GFSN *r);
        !          1944: void setmod_gf2n(P p);
        !          1945: void getmod_gf2n(UP2 *p);
        !          1946: void simpgf2n(GF2N n,GF2N *r);
        !          1947: void ptogf2n(Obj q,GF2N *l);
        !          1948: void gf2ntop(GF2N q,P *l);
        !          1949: void gf2ntovect(GF2N q,VECT *l);
        !          1950: void addgf2n(GF2N a,GF2N b,GF2N *c);
        !          1951: void subgf2n(GF2N a,GF2N b,GF2N *c);
        !          1952: void mulgf2n(GF2N a,GF2N b,GF2N *c);
        !          1953: void squaregf2n(GF2N a,GF2N *c);
        !          1954: void divgf2n(GF2N a,GF2N b,GF2N *c);
        !          1955: void invgf2n(GF2N b,GF2N *c);
        !          1956: void chsgngf2n(GF2N a,GF2N *c);
        !          1957: int cmpgf2n(GF2N a,GF2N b);
        !          1958: void randomgf2n(GF2N *r);
        !          1959: void nadictoz(int base,int d,unsigned int *w,Z *nrp);
        !          1960: void intarraytoz(int len,unsigned int *w,Z *nrp);
        !          1961: void ptomp(int m,P p,P *pr);
        !          1962: void mptop(P f,P *gp);
        !          1963: void ptosfp(P p,P *pr);
        !          1964: void sfptop(P f,P *gp);
        !          1965: void sf_galois_action(P p,Q e,P *pr);
        !          1966: void sf_embed(P p,int k,int pm,P *pr);
        !          1967: void ptolmp(P p,P *pr);
        !          1968: void lmptop(P f,P *gp);
        !          1969: void ptoum(int m,P f,UM wf);
        !          1970: void umtop(V v,UM w,P *f);
        !          1971: void ptosfum(P f,UM wf);
        !          1972: void sfumtop(V v,UM w,P *f);
        !          1973: void ptoup(P n,UP *nr);
        !          1974: void uptop(UP n,P *nr);
        !          1975: void ulmptoum(int m,UP f,UM wf);
        !          1976: void objtobobj(int base,Obj p,Obj *rp);
        !          1977: void bobjtoobj(int base,Obj p,Obj *rp);
        !          1978: void numtobnum(int base,Num p,Num *rp);
        !          1979: void bnumtonum(int base,Num p,Num *rp);
        !          1980: void ptobp(int base,P p,P *rp);
        !          1981: void bptop(int base,P p,P *rp);
        !          1982: void listtoblist(int base,LIST p,LIST *rp);
        !          1983: void blisttolist(int base,LIST p,LIST *rp);
        !          1984: void vecttobvect(int base,VECT p,VECT *rp);
        !          1985: void bvecttovect(int base,VECT p,VECT *rp);
        !          1986: void mattobmat(int base,MAT p,MAT *rp);
        !          1987: void bmattomat(int base,MAT p,MAT *rp);
        !          1988: void mptoum(P p,UM pr);
        !          1989: void umtomp(V v,UM p,P *pr);
        !          1990: void enc_to_p(int p,int a,V v,P *pr);
        !          1991: int comp_dum(DUM a,DUM b);
        !          1992: void fctrsf(P p,DCP *dcp);
        !          1993: void gensqfrsfum(UM p,struct oDUM *dc);
        !          1994: void randsfum(int d,UM p);
        !          1995: void pwrmodsfum(UM p,int e,UM f,UM pr);
        !          1996: void spwrsfum(UM m,UM f,Z e,UM r);
        !          1997: void tracemodsfum(UM m,UM f,int e,UM r);
        !          1998: void make_qmatsf(UM p,UM *tab,int ***mp);
        !          1999: void nullsf(int **mat,int n,int *ind);
        !          2000: void null_to_solsf(int **mat,int *ind,int n,UM *r);
        !          2001: void czsfum(UM f,UM *r);
        !          2002: int berlekampsf(UM p,int df,UM *tab,UM *r);
        !          2003: void minipolysf(UM f,UM p,UM mp);
        !          2004: int find_rootsf(UM p,int *root);
        !          2005: void sqfrsf(VL vl,P f, DCP *dcp);
        !          2006: void canzassf(UM f,int d,UM *r);
        !          2007: void sfhensel(int count,P f,V x,V y,int degbound,GFS *evp,P *sfp,ML *listp);
        !          2008: int sfberle(V x,V y,P f,int count,GFS *ev,DCP *dcp);
        !          2009: void sfgcdgen(P f,ML blist,ML *clistp);
        !          2010: void sfhenmain2(BM f,UM g0,UM h0,int dy,BM *gp);
        !          2011: void ptosfbm(int dy,P f,BM fl);
        !          2012: void sfbmtop(BM f,V x,V y,P *fp);
        !          2013: void sfsqfr(P f,DCP *dcp);
        !          2014: void sfusqfr(P f,DCP *dcp);
        !          2015: void sfbsqfr(P f,V x,V y,DCP *dcp);
        !          2016: void sfbfctr(P f,V x,V y,int degbound,DCP *dcp);
        !          2017: void sfdtest(P f,ML list,V x,V y,DCP *dcp);
        !          2018: int sfdtestmain(VL vl,P lcg,UM lcg0,BM lcy,P csum,ML list,
        !          2019:   int k,int *in,P *fp,P *cofp);
        !          2020: void const_term(P f,UM c);
        !          2021: void const_term_sfbm(BM f,UM c);
        !          2022: int sfctest(UM lcg0,BM lcy,ML list,int k,int *in);
        !          2023: void mulsfbmarray(int dx,BM lcy,ML list,int k,int *in,V x,V y,P *g);
        !          2024: void sfcsump(VL vl,P f,P *s);
        !          2025: void cont_pp_sfp(VL vl,P f,P *cp,P *fp);
        !          2026: int divtp_by_sfbm(VL vl,P f,P g,P *qp);
        !          2027: void generate_defpoly_sfum(int n,UM *dp);
        !          2028: NODE symb_merge(NODE,NODE,int);
        !          2029: void _free_private_storage();
        !          2030: void _DL_alloc();
        !          2031: void _MP_alloc();
        !          2032: void _DP_alloc();
        !          2033: void _addmd_destructive(int mod,DP p1,DP p2,DP *pr);
        !          2034: void _mulmd_dup(int mod,DP p1,DP p2,DP *pr);
        !          2035: void _comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
        !          2036: void _weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
        !          2037: void _mulmdm_dup(int mod,DP p,MP m0,DP *pr);
        !          2038: void _weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr);
        !          2039: void _weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen);
        !          2040: void _comm_mulmd_tab(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1,struct cdlm *rt);
        !          2041: void _comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1);
        !          2042: void dlto_dl(DL d,DL *dr);
        !          2043: void _dltodl(DL d,DL *dr);
        !          2044: void _adddl_dup(int n,DL d1,DL d2,DL *dr);
        !          2045: void _free_dlarray(DL *a,int n);
        !          2046: void _free_dp(DP f);
        !          2047: void dpto_dp(DP p,DP *r);
        !          2048: void _dptodp(DP p,DP *r);
        !          2049: NODE _symb_merge(NODE m1,NODE m2,int n);
        !          2050: void _addd_destructive(VL vl,DP p1,DP p2,DP *pr);
        !          2051: void _muld_dup(VL vl,DP p1,DP p2,DP *pr);
        !          2052: void _comm_muld_dup(VL vl,DP p1,DP p2,DP *pr);
        !          2053: void _weyl_muld_dup(VL vl,DP p1,DP p2,DP *pr);
        !          2054: void _muldm_dup(VL vl,DP p,MP m0,DP *pr);
        !          2055: void _weyl_muldm_dup(VL vl,MP m0,DP p,DP *pr);
        !          2056: void _weyl_mulmm_dup(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen);
        !          2057: void _comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt);
        !          2058: void _comm_muld_tab_destructive(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1);
        !          2059:
        !          2060: int has_fcoef(DP f);
        !          2061: int has_fcoef_p(P f);
        !          2062: void initd(struct order_spec *spec);
        !          2063: void ptod(VL vl,VL dvl,P p,DP *pr);
        !          2064: void dtop(VL vl,VL dvl,DP p,Obj *pr);
        !          2065: void nodetod(NODE node,DP *dp);
        !          2066: void nodetodpm(NODE node,Obj pos,DPM *dp);
        !          2067: int sugard(MP m);
        !          2068: void addd(VL vl,DP p1,DP p2,DP *pr);
        !          2069: void symb_addd(DP p1,DP p2,DP *pr);
        !          2070: NODE symb_merge(NODE m1,NODE m2,int n);
        !          2071: DLBUCKET symb_merge_bucket(DLBUCKET m1,DLBUCKET m2,int n);
        !          2072: void subd(VL vl,DP p1,DP p2,DP *pr);
        !          2073: void chsgnd(DP p,DP *pr);
        !          2074: void muld(VL vl,DP p1,DP p2,DP *pr);
        !          2075: void comm_muld(VL vl,DP p1,DP p2,DP *pr);
        !          2076: void muldm(VL vl,DP p,MP m0,DP *pr);
        !          2077: void weyl_muld(VL vl,DP p1,DP p2,DP *pr);
        !          2078: void weyl_muldm(VL vl,MP m0,DP p,DP *pr);
        !          2079: void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen);
        !          2080: void comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt);
        !          2081: void muldc(VL vl,DP p,Obj c,DP *pr);
        !          2082: void divsdc(VL vl,DP p,P c,DP *pr);
        !          2083: void divdc(VL vl,DP p,Obj c,DP *pr);
        !          2084: void adddl(int n,DL d1,DL d2,DL *dr);
        !          2085: void adddl_destructive(int n,DL d1,DL d2);
        !          2086: int compd(VL vl,DP p1,DP p2);
        !          2087: int cmpdl_lex(int n,DL d1,DL d2);
        !          2088: int cmpdl_revlex(int n,DL d1,DL d2);
        !          2089: int cmpdl_gradlex(int n,DL d1,DL d2);
        !          2090: int cmpdl_revgradlex(int n,DL d1,DL d2);
        !          2091: int cmpdl_blex(int n,DL d1,DL d2);
        !          2092: int cmpdl_bgradlex(int n,DL d1,DL d2);
        !          2093: int cmpdl_brevgradlex(int n,DL d1,DL d2);
        !          2094: int cmpdl_brevrev(int n,DL d1,DL d2);
        !          2095: int cmpdl_bgradrev(int n,DL d1,DL d2);
        !          2096: int cmpdl_blexrev(int n,DL d1,DL d2);
        !          2097: int cmpdl_elim(int n,DL d1,DL d2);
        !          2098: int cmpdl_weyl_elim(int n,DL d1,DL d2);
        !          2099: int cmpdl_homo_ww_drl(int n,DL d1,DL d2);
        !          2100: int cmpdl_order_pair(int n,DL d1,DL d2);
        !          2101: int cmpdl_matrix(int n,DL d1,DL d2);
        !          2102: void ptomd(VL vl,int mod,VL dvl,P p,DP *pr);
        !          2103: void mptomd(VL vl,int mod,VL dvl,P p,DP *pr);
        !          2104: void mdtop(VL vl,int mod,VL dvl,DP p,P *pr);
        !          2105: void addmd(VL vl,int mod,DP p1,DP p2,DP *pr);
        !          2106: void submd(VL vl,int mod,DP p1,DP p2,DP *pr);
        !          2107: void chsgnmd(int mod,DP p,DP *pr);
        !          2108: void mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
        !          2109: void comm_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
        !          2110: void weyl_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
        !          2111: void mulmdm(VL vl,int mod,DP p,MP m0,DP *pr);
        !          2112: void weyl_mulmdm(VL vl,int mod,DP p,MP m0,DP *pr);
        !          2113: void weyl_mulmmm(VL vl,int mod,MP m0,MP m1,int n,DP *pr);
        !          2114: void mulmdc(VL vl,int mod,DP p,P c,DP *pr);
        !          2115: void divsmdc(VL vl,int mod,DP p,P c,DP *pr);
        !          2116: void _dtop_mod(VL vl,VL dvl,DP p,P *pr);
        !          2117: void _dp_mod(DP p,int mod,NODE subst,DP *rp);
        !          2118: void _dp_monic(DP p,int mod,DP *rp);
        !          2119: void _printdp(DP d);
        !          2120: void addmd_destructive(int mod,DP p1,DP p2,DP *pr);
        !          2121: void mulmd_dup(int mod,DP p1,DP p2,DP *pr);
        !          2122: void comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
        !          2123: void weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
        !          2124: void mulmdm_dup(int mod,DP p,MP m0,DP *pr);
        !          2125: void weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr);
        !          2126: void weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen);
        !          2127: void comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1);
        !          2128: void adddl_dup(int n,DL d1,DL d2,DL *dr);
        !          2129: void monicup(UP a,UP *b);
        !          2130: void simpup(UP a,UP *b);
        !          2131: void simpnum(Num a,Num *b);
        !          2132: void uremp(P p1,P p2,P *rp);
        !          2133: void ugcdp(P p1,P p2,P *rp);
        !          2134: void reversep(P p1,Q d,P *rp);
        !          2135: void invmodp(P p1,Q d,P *rp);
        !          2136: void addup(UP n1,UP n2,UP *nr);
        !          2137: void subup(UP n1,UP n2,UP *nr);
        !          2138: void chsgnup(UP n1,UP *nr);
        !          2139: void hybrid_mulup(int ff,UP n1,UP n2,UP *nr);
        !          2140: void hybrid_squareup(int ff,UP n1,UP *nr);
        !          2141: void hybrid_tmulup(int ff,UP n1,UP n2,int d,UP *nr);
        !          2142: void mulup(UP n1,UP n2,UP *nr);
        !          2143: void mulcup(Num c,UP n1,UP *nr);
        !          2144: void tmulup(UP n1,UP n2,int d,UP *nr);
        !          2145: void squareup(UP n1,UP *nr);
        !          2146: void remup(UP n1,UP n2,UP *nr);
        !          2147: void remup_destructive(UP n1,UP n2);
        !          2148: void qrup(UP n1,UP n2,UP *nq,UP *nr);
        !          2149: void qrup_destructive(UP n1,UP n2);
        !          2150: void gcdup(UP n1,UP n2,UP *nr);
        !          2151: void extended_gcdup(UP a,UP m,UP *r);
        !          2152: void reverseup(UP n1,int d,UP *nr);
        !          2153: void invmodup(UP n1,int d,UP *nr);
        !          2154: void pwrup(UP n,Z e,UP *nr);
        !          2155: int compup(UP n1,UP n2);
        !          2156: void kmulp(VL vl,P n1,P n2,P *nr);
        !          2157: void ksquarep(VL vl,P n1,P *nr);
        !          2158: void kmulup(UP n1,UP n2,UP *nr);
        !          2159: void ksquareup(UP n1,UP *nr);
        !          2160: void copyup(UP n1,UP n2);
        !          2161: void c_copyup(UP n,int len,pointer *p);
        !          2162: void kmulupmain(UP n1,UP n2,UP *nr);
        !          2163: void ksquareupmain(UP n1,UP *nr);
        !          2164: void rembymulup(UP n1,UP n2,UP *nr);
        !          2165: void hybrid_rembymulup_special(int ff,UP n1,UP n2,UP inv2,UP *nr);
        !          2166: void rembymulup_special(UP n1,UP n2,UP inv2,UP *nr);
        !          2167: void tkmulup(UP n1,UP n2,int d,UP *nr);
        !          2168: void shiftup(UP n,int d,UP *nr);
        !          2169: void fft_rembymulup_special(UP n1,UP n2,UP inv2,UP *nr);
        !          2170: void set_degreeup(UP n,int d);
        !          2171: void decompup(UP n,int d,UP *n0,UP *n1);
        !          2172: void truncup(UP n1,int d,UP *nr);
        !          2173: int int_bits(int t);
        !          2174: int maxblenup(UP n);
        !          2175: void uptofmarray(int mod,UP n,ModNum *f);
        !          2176: void fmarraytoup(ModNum *f,int d,UP *nr);
        !          2177: void uiarraytoup(unsigned int **f,int n,int d,UP *nr);
        !          2178: void adj_coefup(UP n,Z m,Z m2,UP *nr);
        !          2179: void remcup(UP n,Z mod,UP *nr);
        !          2180: void fft_mulup(UP n1,UP n2,UP *nr);
        !          2181: void trunc_fft_mulup(UP n1,UP n2,int dbd,UP *nr);
        !          2182: void fft_squareup(UP n1,UP *nr);
        !          2183: void fft_mulup_main(UP n1,UP n2,int dbd,UP *nr);
        !          2184: void crup(ModNum **f,int d,int *mod,int index,Z m,UP *r);
        !          2185: void crup_lm(ModNum **f,int d,int *mod,int index,Z m,Z lm_mod,UP *r);
        !          2186: void fft_mulup_specialmod_main(UP n1,UP n2,int dbd,int *modind,int nmod,UP *nr);
        !          2187: void fft_mulup_lm(UP n1,UP n2,UP *nr);
        !          2188: void fft_squareup_lm(UP n1,UP *nr);
        !          2189: void trunc_fft_mulup_lm(UP n1,UP n2,int dbd,UP *nr);
        !          2190: void fft_rembymulup_special_lm(UP n1,UP n2,UP inv2,UP *nr);
        !          2191: void uptolmup(UP n,UP *nr);
        !          2192: void save_up(UP obj,char *name);
        !          2193: void hybrid_powermodup(UP f,UP *xp);
        !          2194: void powermodup(UP f,UP *xp);
        !          2195: void hybrid_generic_powermodup(UP g,UP f,Z d,UP *xp);
        !          2196: void generic_powermodup(UP g,UP f,Z d,UP *xp);
        !          2197: void hybrid_powertabup(UP f,UP xp,UP *tab);
        !          2198: void powertabup(UP f,UP xp,UP *tab);
        !          2199: void squarep_gf2n(VL vl,P n1,P *nr);
        !          2200: void squareup_gf2n(UP n1,UP *nr);
        !          2201: void powermodup_gf2n(UP f,UP *xp);
        !          2202: void generic_powermodup_gf2n(UP g,UP f,Z d,UP *xp);
        !          2203: void tracemodup_gf2n(UP g,UP f,Z d,UP *xp);
        !          2204: void tracemodup_gf2n_slow(UP g,UP f,Z d,UP *xp);
        !          2205: void tracemodup_gf2n_tab(UP g,UP f,Z d,UP *xp);
        !          2206: void square_rem_tab_up_gf2n(UP f,UP *tab,UP *rp);
        !          2207: void powertabup_gf2n(UP f,UP xp,UP *tab);
        !          2208: void find_root_gf2n(UP f,GF2N *r);
        !          2209: void ptoup2(P n,UP2 *nr);
        !          2210: void ptoup2_sparse(P n,UP2 *nr);
        !          2211: void up2top(UP2 n,P *nr);
        !          2212: void up2tovect(UP2 n,VECT *nr);
        !          2213: void up2ton(UP2 p,Q *n);
        !          2214: void ntoup2(Q n,UP2 *p);
        !          2215: void gen_simpup2(UP2 p,GEN_UP2 m,UP2 *r);
        !          2216: void gen_simpup2_destructive(UP2 p,GEN_UP2 m);
        !          2217: void gen_invup2(UP2 p,GEN_UP2 m,UP2 *r);
        !          2218: void gen_pwrmodup2(UP2 a,Z b,GEN_UP2 m,UP2 *c);
        !          2219: void simpup2(UP2 p,UP2 m,UP2 *r);
        !          2220: int degup2(UP2 a);
        !          2221: int degup2_sparse(UP2 a);
        !          2222: int degup2_1(unsigned int a);
        !          2223: void addup2(UP2 a,UP2 b,UP2 *c);
        !          2224: void subup2(UP2 a,UP2 b,UP2 *c);
        !          2225: void _mulup2_1(UP2 a,unsigned int b,UP2 c);
        !          2226: void _mulup2_h(UP2 a,unsigned int b,UP2 c);
        !          2227: void mulup2(UP2 a,UP2 b,UP2 *c);
        !          2228: void _kmulup2_(unsigned int *a,unsigned int *b,int w,unsigned int *c);
        !          2229: void _mulup2_nn(unsigned int *a,unsigned int *b,int w,unsigned int *c);
        !          2230: void _mulup2(UP2 a,UP2 b,UP2 c);
        !          2231: void _mulup2_(_UP2 a,_UP2 b,_UP2 c);
        !          2232: void squareup2(UP2 n,UP2 *nr);
        !          2233: void _squareup2(UP2 n,UP2 nr);
        !          2234: void _adjup2(UP2 n);
        !          2235: void _adjup2_(_UP2 n);
        !          2236: void _addup2(UP2 a,UP2 b,UP2 c);
        !          2237: void _addup2_destructive(UP2 a,UP2 b);
        !          2238: void _addup2_(_UP2 a,_UP2 b,_UP2 c);
        !          2239: void _addtoup2_(_UP2 a,_UP2 b);
        !          2240: unsigned int mulup2_bb(unsigned int a,unsigned int b);
        !          2241: void init_up2_tab();
        !          2242: void divup2_1(unsigned int a1,unsigned int a2,int e1,int e2,unsigned int *qp,unsigned int *rp);
        !          2243: void qrup2(UP2 a,UP2 b,UP2 *q,UP2 *r);
        !          2244: void _qrup2(UP2 a,UP2 b,UP2 q,UP2 r);
        !          2245: void remup2(UP2 a,UP2 b,UP2 *c);
        !          2246: void _remup2(UP2 a,UP2 b,UP2 c);
        !          2247: void remup2_sparse(UP2 a,UP2 b,UP2 *c);
        !          2248: void remup2_sparse_destructive(UP2 a,UP2 b);
        !          2249: void remup2_type1_destructive(UP2 a,int d);
        !          2250: void remup2_3_destructive(UP2 a,UP2 b);
        !          2251: void remup2_5_destructive(UP2 a,UP2 b);
        !          2252: void _invup2_1(unsigned int f1,unsigned int f2,unsigned int *a1,unsigned int *b1);
        !          2253: void _gcdup2_1(unsigned int f1,unsigned int f2,unsigned int *gcd);
        !          2254: void up2_init_eg();
        !          2255: void up2_show_eg();
        !          2256: void invup2(UP2 a,UP2 m,UP2 *inv);
        !          2257: void gcdup2(UP2 a,UP2 m,UP2 *gcd);
        !          2258: void chsgnup2(UP2 a,UP2 *c);
        !          2259: int compup2(UP2 n1,UP2 n2);
        !          2260: void _copyup2(UP2 n,UP2 r);
        !          2261: void _bshiftup2(UP2 n,int b,UP2 r);
        !          2262: void _bshiftup2_destructive(UP2 n,int b);
        !          2263: void diffup2(UP2 f,UP2 *r);
        !          2264: int sqfrcheckup2(UP2 f);
        !          2265: int irredcheckup2(UP2 f);
        !          2266: int irredcheck_dddup2(UP2 f);
        !          2267: void _copy_up2bits(UP2 p,unsigned int **mat,int pos);
        !          2268: int compute_multiplication_matrix(P p0,GF2MAT *mp);
        !          2269: void compute_change_of_basis_matrix(P p0,P p1,int to,GF2MAT *m01,GF2MAT *m10);
        !          2270: void compute_change_of_basis_matrix_with_root(P p0,P p1,int to,GF2N root,GF2MAT *m01,GF2MAT *m10);
        !          2271: int compute_representation_conversion_matrix(P p0,GF2MAT *np,GF2MAT *pn);
        !          2272: void mul_nb(GF2MAT mat,unsigned int *a,unsigned int *b,unsigned int *c);
        !          2273: void leftshift(unsigned int *a,int n);
        !          2274: void mat_to_gf2mat(MAT a,unsigned int ***b);
        !          2275: void gf2mat_to_mat(unsigned int **a,int n,MAT *b);
        !          2276: void mulgf2mat(int n,unsigned int **a,unsigned int **b,unsigned int **c);
        !          2277: void mulgf2vectmat(int n,unsigned int *a,unsigned int **b,unsigned int *c);
        !          2278: int mulgf2vectvect(int n,unsigned int *a,unsigned int *b);
        !          2279: int invgf2mat(int n,unsigned int **a,unsigned int **b);
        !          2280: void _mulup2_22(unsigned int *a1,unsigned int *a2,unsigned int *ar);
        !          2281: void _mulup2_33(unsigned int *a1,unsigned int *a2,unsigned int *ar);
        !          2282: void _mulup2_44(unsigned int *a1,unsigned int *a2,unsigned int *ar);
        !          2283: void _mulup2_55(unsigned int *a1,unsigned int *a2,unsigned int *ar);
        !          2284: void _mulup2_66(unsigned int *a1,unsigned int *a2,unsigned int *ar);
        !          2285: void type1_bin_invup2(UP2 a,int n,UP2 *inv);
        !          2286: UP2 *compute_tab_gf2n(UP2 f);
        !          2287: UP compute_trace_gf2n(UP2 *tab,GF2N c,int n);
        !          2288: void up2toup(UP2 f,UP *r);
        !          2289: void find_root_up2(UP2 f,GF2N *r);
        !          2290: void addq(Q n1,Q n2,Q *nr);
        !          2291: void subq(Q n1,Q n2,Q *nr);
        !          2292: void mulq(Q n1,Q n2,Q *nr);
        !          2293: void divq(Q n1,Q n2,Q *nq);
        !          2294: void divsq(Q n1,Q n2,Q *nq);
        !          2295: void invq(Q n,Q *nr);
        !          2296: void chsgnq(Q n,Q *nr);
        !          2297: void pwrq(Q n1,Q n,Q *nr);
        !          2298: int cmpq(Q q1,Q q2);
        !          2299: void remq(Q n,Q m,Q *nr);
        !          2300: void mkbc(int n,Z *t);
        !          2301: void mkwcm(int k,int l,int m,int *t);
        !          2302: void invl(Q a,Q mod,Q *ar);
        !          2303: void plisttop(P *f,V v,int n,P *gp);
        !          2304: int divtp(VL vl,P p1,P p2,P *q);
        !          2305: int divtdcp(VL vl,P p1,P p2,P *q);
        !          2306: int divtpz(VL vl,P p1,P p2,P *q);
        !          2307: int divtdcpz(VL vl,P p1,P p2,P *q);
        !          2308: void udivpz(P f1,P f2,P *fqp,P *frp);
        !          2309: void udivpwm(Z mod,P p1,P p2,P *q,P *r);
        !          2310: void udivpzwm(Z mod,P f1,P f2,P *fqp,P *frp);
        !          2311: void henmv(VL vl,VN vn,P f,P g0,P h0,P a0,P b0,P lg,P lh,P lg0,P lh0,Z q,int k,P *gp,P *hp);
        !          2312: void henmvmain(VL vl,VN vn,P f,P fi0,P fi1,P gi0,P gi1,P l0,P l1,Z mod,Z mod2,int k,P *fr0,P *fr1);
        !          2313: void henzq(P f,P i0,UM fi0,P i1,UM fi1,int p,int k,P *fr0p,P *fr1p,P *gr0p,P *gr1p,Z *qrp);
        !          2314: void henzq1(P g,P h,Q bound,P *gcp,P *hcp,Z *qp);
        !          2315: void addm2p(VL vl,Z mod,Z mod2,P n1,P n2,P *nr);
        !          2316: void subm2p(VL vl,Z mod,Z mod2,P n1,P n2,P *nr);
        !          2317: void mulm2p(VL vl,Z mod,Z mod2,P n1,P n2,P *nr);
        !          2318: void addm2q(Z mod,Z mod2,Z n1,Z n2,Z *nr);
        !          2319: void subm2q(Z mod,Z mod2,Z n1,Z n2,Z *nr);
        !          2320: void mulm2q(Z mod,Z mod2,Z n1,Z n2,Z *nr);
        !          2321: void rem2q(Z n,Z m,Z m2,Z *nr);
        !          2322: void exthpc_generic(VL vl,P p,int d,V v,P *pr);
        !          2323: void exthp(VL vl,P p,int d,P *pr);
        !          2324: void exthpc(VL vl,V v,P p,int d,P *pr);
        !          2325: void cbound(VL vl,P p,Q *b);
        !          2326: int geldb(VL vl,P p);
        !          2327: int getdeg(V v,P p);
        !          2328: void cmax(P p,Q *b);
        !          2329: int nextbin(VN vn,int n);
        !          2330: void mulsgn(VN vn,VN vnt,int n,VN vn1);
        !          2331: void next(VN vn);
        !          2332: void clctv(VL vl,P p,VL *nvlp);
        !          2333: void markv(VN vn,int n,P p);
        !          2334: void vntovl(VN vn,int n,VL *vlp);
        !          2335: int dbound(V v,P f);
        !          2336: int homdeg(P f);
        !          2337: int minhomdeg(P f);
        !          2338: void adjc(VL vl,P f,P a,P lc0,Z q,P *fr,P *ar);
        !          2339: void affinemain(VL vl,P p,V v0,int n,P *pl,P *pr);
        !          2340: void restore(VL vl,P f,VN vn,P *fr);
        !          2341: void mergev(VL vl,VL vl1,VL vl2,VL *nvlp);
        !          2342: void substvp(VL vl,P f,VN vn,P *g);
        !          2343: void affine(VL vl,P f,VN vn,P *fr);
        !          2344: void addnum(VL vl,Num a,Num b,Num *c);
        !          2345: void subnum(VL vl,Num a,Num b,Num *c);
        !          2346: void mulnum(VL vl,Num a,Num b,Num *c);
        !          2347: void divnum(VL vl,Num a,Num b,Num *c);
        !          2348: void pwrnum(VL vl,Num a,Num b,Num *c);
        !          2349: void chsgnnum(Num a,Num *c);
        !          2350: int compnum(VL vl,Num a,Num b);
        !          2351: void one_ff(Num *c);
        !          2352: int negative_number(Num c);
        !          2353: void simp_ff(Obj p,Obj *rp);
        !          2354: int fft_available(int d1,int n1,int d2,int n2);
        !          2355: void get_fft_prime(int index,int *p,int *d);
        !          2356: void nglob_init();
        !          2357: void get_eg(struct oEGT *p);
        !          2358: void init_eg(struct oEGT *eg);
        !          2359: void add_eg(struct oEGT *base,struct oEGT *start,struct oEGT *end);
        !          2360: void print_eg(char *item,struct oEGT *eg);
        !          2361: void print_split_eg(struct oEGT *start,struct oEGT *end);
        !          2362: void print_split_e(struct oEGT *start,struct oEGT *end);
        !          2363: void suspend_timer() ;
        !          2364: void resume_timer() ;
        !          2365: void reset_engine() ;
        !          2366: unsigned int get_asir_version() ;
        !          2367: char *get_asir_distribution();
        !          2368: void create_error(ERR *err,unsigned int serial,char *msg,LIST trace);
        !          2369: void init_lprime();
        !          2370: int get_lprime(int index);
        !          2371: void create_new_lprimes(int index);
        !          2372: void reorderp(VL nvl,VL ovl,P p,P *pr);
        !          2373: void substp(VL vl,P p,V v0,P p0,P *pr);
        !          2374: void detp(VL vl,P **rmat,int n,P *dp);
        !          2375: void invmatp(VL vl,P **rmat,int n,P ***imatp,P *dnp);
        !          2376: void reordvar(VL vl,V v,VL *nvlp);
        !          2377: void gcdprsp(VL vl,P p1,P p2,P *pr);
        !          2378: void gcdcp(VL vl,P p,P *pr);
        !          2379: void sprs(VL vl,V v,P p1,P p2,P *pr);
        !          2380: void resultp(VL vl,V v,P p1,P p2,P *pr);
        !          2381: void srch2(VL vl,V v,P p1,P p2,P *pr);
        !          2382: void srcr(VL vl,V v,P p1,P p2,P *pr);
        !          2383: void res_ch_det(VL vl,V v,P p1,P p2,P *pr);
        !          2384: void res_detmp(VL vl,int mod,V v,P p1,P p2,P *dp);
        !          2385: void premp(VL vl,P p1,P p2,P *pr);
        !          2386: void ptozp0(P p,P *pr);
        !          2387: void mindegp(VL vl,P p,VL *mvlp,P *pr);
        !          2388: void maxdegp(VL vl,P p,VL *mvlp,P *pr);
        !          2389: void min_common_vars_in_coefp(VL vl,P p,VL *mvlp,P *pr);
        !          2390: void minlcdegp(VL vl,P p,VL *mvlp,P *pr);
        !          2391: void sort_by_deg(int n,P *p,P *pr);
        !          2392: void sort_by_deg_rev(int n,P *p,P *pr);
        !          2393: void minchdegp(VL vl,P p,VL *mvlp,P *pr);
        !          2394: int getchomdeg(V v,P p);
        !          2395: int getlchomdeg(V v,P p,int *d);
        !          2396: int nmonop(P p);
        !          2397: int qpcheck(Obj p);
        !          2398: int uzpcheck(Obj p);
        !          2399: int p_mag(P p);
        !          2400: int maxblenp(P p);
        !          2401: void berle(int index,int count,P f,ML *listp);
        !          2402: int berlecnt(int mod,UM f);
        !          2403: int berlecntmain(int mod,int n,int m,int **c);
        !          2404: UM *berlemain(int mod,UM f,UM *fp);
        !          2405: void hensel(int index,int count,P f,ML *listp);
        !          2406: void hensel2(int index,int count,P f,ML *listp);
        !          2407: void henmain2(LUM f,UM g0,UM h0,UM a0,UM b0,int m,int bound,LUM *gp);
        !          2408: void clearlum(int n,int bound,LUM f);
        !          2409: void addtolum(int m,int bound,LUM f,LUM g);
        !          2410: void hsq(int index,int count,P f,int *nindex,DCP *dcp);
        !          2411: void gcdgen(P f,ML blist,ML *clistp);
        !          2412: void henprep2(int mod,int q,int k,UM f,UM g,UM h,UM qg,UM qh,UM qa,UM qb);
        !          2413: void henprep(P f,ML blist,ML clist,ML *bqlistp,ML *cqlistp);
        !          2414: void henmain(LUM f,ML bqlist,ML cqlist,ML *listp);
        !          2415: int mignotte(int q,P f);
        !          2416: int mig(int q,int d,P f);
        !          2417: void sqad(mp_limb_t man,int exp);
        !          2418: void ptolum(int q,int bound,P f,LUM fl);
        !          2419: void modfctrp(P p,int mod,int flag,DCP *dcp);
        !          2420: void gensqfrum(int mod,UM p,struct oDUM *dc);
        !          2421: void ddd(int mod,UM f,UM *r);
        !          2422: void canzas(int mod,UM f,int d,UM *base,UM *r);
        !          2423: void randum(int mod,int d,UM p);
        !          2424: void pwrmodum(int mod,UM p,int e,UM f,UM pr);
        !          2425: void spwrum0(int mod,UM m,UM f,Z e,UM r);
        !          2426: void mult_mod_tab(UM p,int mod,UM *tab,UM r,int d);
        !          2427: void make_qmat(UM p,int mod,UM *tab,int ***mp);
        !          2428: void null_mod(int **mat,int mod,int n,int *ind);
        !          2429: void null_to_sol(int **mat,int *ind,int mod,int n,UM *r);
        !          2430: void newddd(int mod,UM f,UM *r);
        !          2431: int nfctr_mod(UM f,int mod);
        !          2432: int irred_check(UM f,int mod);
        !          2433: int berlekamp(UM p,int mod,int df,UM *tab,UM *r);
        !          2434: void minipoly_mod(int mod,UM f,UM p,UM mp);
        !          2435: void lnf_mod(int mod,int n,UM p0,UM p1,struct p_pair *list,UM np0,UM np1);
        !          2436: void showum(UM p);
        !          2437: void showumat(int **mat,int n);
        !          2438: int find_root(int mod,UM p,int *root);
        !          2439: void fctrp(VL vl,P f,DCP *dcp);
        !          2440: void fctr_wrt_v_p(VL vl,P f,V v,DCP *dcp);
        !          2441: void homfctr(VL vl,P g,DCP *dcp);
        !          2442: void mfctr(VL vl,P f,DCP *dcp);
        !          2443: void mfctr_wrt_v(VL vl,P f,V v,DCP *dcp);
        !          2444: void adjsgn(P p,DCP dc);
        !          2445: int headsgn(P p);
        !          2446: void fctrwithmvp(VL vl,P f,V v,DCP *dcp);
        !          2447: void mfctrwithmv(VL vl,P f,V v,DCP *dcp);
        !          2448: void ufctr(P f,int hint,DCP *dcp);
        !          2449: void mfctrmain(VL vl,P p,DCP *dcp);
        !          2450: void ufctrmain(P p,int hint,DCP *dcp);
        !          2451: void cycm(V v,int n,DCP *dcp);
        !          2452: void cycp(V v,int n,DCP *dcp);
        !          2453: void calcphi(V v,int n,struct oMF *mfp);
        !          2454: void mkssum(V v,int e,int s,int sgn,P *r);
        !          2455: int iscycp(P f);
        !          2456: int iscycm(P f);
        !          2457: void sortfs(DCP *dcp);
        !          2458: void sortfsrev(DCP *dcp);
        !          2459: void nthrootchk(P f,struct oDUM *dc,ML fp,DCP *dcp);
        !          2460: void sqfrp(VL vl,P f,DCP *dcp);
        !          2461: void msqfr(VL vl,P f,DCP *dcp);
        !          2462: void usqp(P f,DCP *dcp);
        !          2463: void msqfrmain(VL vl,P p,DCP *dcp);
        !          2464: void msqfrmainmain(VL vl,P p,VN vn,P p0,DCP dc0,DCP *dcp,P *pp);
        !          2465: void mfctrhen2(VL vl,VN vn,P f,P f0,P g0,P h0,P lcg,P lch,P *gp);
        !          2466: int sqfrchk(P p);
        !          2467: int cycchk(P p);
        !          2468: int zerovpchk(VL vl,P p,VN vn);
        !          2469: int valideval(VL vl,DCP dc,VN vn);
        !          2470: void estimatelc(VL vl,Z c,DCP dc,VN vn,P *lcp);
        !          2471: void monomialfctr(VL vl,P p,P *pr,DCP *dcp);
        !          2472: void afctr(VL vl,P p0,P p,DCP *dcp);
        !          2473: void afctrmain(VL vl,P p0,P p,int init,DCP *dcp);
        !          2474: int divtmp(VL vl,int mod,P p1,P p2,P *q);
        !          2475: int divtdcmp(VL vl,int mod,P p1,P p2,P *q);
        !          2476: void GC_gcollect();
        !          2477:
        !          2478: /* IMAT */
        !          2479: void Pnewimat(NODE, IMAT *);
        !          2480: void PChsgnI(NODE, IMAT *);
        !          2481: void Pm2Im(NODE, IMAT *);
        !          2482: void PIm2m(NODE, MAT *);
        !          2483:
        !          2484: void AddMatI(VL, IMAT, IMAT, IMAT *);
        !          2485: void MulMatI(VL, IMAT, IMAT, IMAT *);
        !          2486: void MulMatG(VL, Obj, Obj, Obj *);
        !          2487: void MulrMatI(VL, Obj, Obj, Obj *);
        !          2488: void MulMatS(VL, IMAT, IMAT, IMAT *);
        !          2489: void PutIent(IMAT, int, int, Obj);
        !          2490: void GetIent(IMAT, int, int, Obj);
        !          2491: void GetIbody(IMAT, int, int, Obj *);
        !          2492: void ChsgnI(IMAT, IMAT *c);
        !          2493: void AppendIent(IMAT, int, int, Obj);
        !          2494: void MEnt(int, int, int, Obj, IENT *);
        !          2495: void GetForeIent(IMATC *, IENT *, int *);
        !          2496: void GetNextIent(IMATC *, IENT *, int *);
        !          2497: void SubMatI(VL, IMAT, IMAT, IMAT *);
        !          2498: /* IMAT */
        !          2499:
        !          2500:
        !          2501: #if 0 && !defined(VISUAL) && !defined(__MINGW32__)
        !          2502: void bzero(const void *,int);
        !          2503: void bcopy(const void *,void *,int);
        !          2504: char *index(char *,int);
        !          2505: #endif
        !          2506:
        !          2507: void chsgnnbp(NBP p,NBP *rp);
        !          2508: void subnbp(VL vl,NBP p1,NBP p2, NBP *rp);
        !          2509: void addnbp(VL vl,NBP p1,NBP p2, NBP *rp);
        !          2510: void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp);
        !          2511: void pwrnbp(VL vl,NBP p1,Z n, NBP *rp);
        !          2512: int compnbp(VL vl,NBP p1,NBP p2);
        !          2513:
        !          2514: #define WORDSIZE_IN_N(a) (ABS((a)->_mp_size)*GMP_LIMB_BITS/32)
        !          2515:
        !          2516: #define MPZTOZ(g,q) (!mpz_sgn(g)?((q)=0):(NEWZ(q),BDY(q)[0]=(g)[0],(q)))
        !          2517: #define MPDNTOQ(n,d,q) (NEWQ(q),mpq_numref(BDY(q))[0]=(n)[0],mpq_denref(BDY(q))[0]=(d)[0],(q))
        !          2518: #define MPQTOQ(g,q) (!mpq_sgn(g)?((q)=0):(NEWQ(q),BDY(q)[0]=(g)[0],(q)))
        !          2519:
        !          2520: #define INTMPQ(a)  (!mpz_cmp_ui(mpq_denref(a),1))
        !          2521: #define INTQ(a) ((a)&&NUM(a)&&((Q)a)->z==1)
        !          2522: #define UNIQ(a) (INTQ(a)&&!mpz_cmp_si(BDY((Z)a),1))
        !          2523: #define MUNIQ(a) (INTQ(a)&&!mpz_cmp_si(BDY((Z)a),-1))
        !          2524:
        !          2525: #define MPZTOMPQ(z,q) (mpq_init(q),mpq_numref(q)[0] = (z)[0],mpz_set_ui(mpq_denref(q),1))
        !          2526:
        !          2527: #define MPFRTOBF(g,q) (NEWBF(q),BDY(q)[0]=(g)[0],(q))
        !          2528:
        !          2529: void *gc_realloc(void *p,size_t osize,size_t nsize);
        !          2530: void gc_free(void *p,size_t size);
        !          2531: void init_gmpq();
        !          2532: Q mpqtozq(mpq_t a);
        !          2533: void addz(Z n1,Z n2,Z *nr);
        !          2534: void subz(Z n1,Z n2,Z *nr);
        !          2535: void mulz(Z n1,Z n2,Z *nr);
        !          2536: void mul1z(Z n1,long n2,Z *nr);
        !          2537: void muladdtoz(Z n1,Z n2,Z *nr);
        !          2538: void mul1addtoz(Z n1,long n2,Z *nr);
        !          2539: void divz(Z n1,Z n2,Z *nq);
        !          2540: void divqrz(Z n1,Z n2,Z *nq,Z *nr);
        !          2541: void remz(Z n1,Z n2,Z *nr);
        !          2542: void invz(Z n1,Z n2,Z *nr);
        !          2543: void chsgnz(Z n,Z *nr);
        !          2544: void absz(Z n,Z *nr);
        !          2545: int evenz(Z n);
        !          2546: int smallz(Z n);
        !          2547: void bshiftz(Z n,int s,Z *nr);
        !          2548: void pwrz(Z n1,Z n,Z *nr);
        !          2549: int cmpz(Z q1,Z q2);
        !          2550: void gcdz(Z n1,Z n2,Z *nq);
        !          2551: void lcmz(Z n1,Z n2,Z *nq);
        !          2552: void gcdvz(VECT v,Z *q);
        !          2553: void gcdvz_estimate(VECT v,Z *q);
        !          2554: void factorialz(unsigned int n,Z *nr);
        !          2555: void randomz(int blen,Z *nr);
        !          2556: int tstbitz(Z n,int k);
        !          2557: void addq(Q n1,Q n2,Q *nr);
        !          2558: void subq(Q n1,Q n2,Q *nr);
        !          2559: void mulq(Q n1,Q n2,Q *nr);
        !          2560: void divq(Q n1,Q n2,Q *nq);
        !          2561: void chsgnq(Q n,Q *nr);
        !          2562: void absq(Q n,Q *nr);
        !          2563: void pwrq(Q n1,Q n,Q *nr);
        !          2564: int cmpq(Q n1,Q n2);
        !          2565: void mkwc(int k,int l,Z *t);
        !          2566: unsigned int remqi(Q n,unsigned int m);
        !          2567: void nmq(Q q,Z *z);
        !          2568: void dnq(Q q,Z *z);
        !          2569: void _mdtodp(DP p,DP *pr);
        !          2570: void add_denomlist(P f);
        !          2571: void algobjtorat(Obj f,Obj *r);
        !          2572: void algtodalg(Alg a,DAlg *r);
        !          2573: void appenduflist(NODE n);
        !          2574: void arf_add(VL,Obj,Obj,Obj *);
        !          2575: void arf_chsgn(Obj,Obj *);
        !          2576: void arf_div(VL,Obj,Obj,Obj *);
        !          2577: void arf_mul(VL,Obj,Obj,Obj *);
        !          2578: void arf_sub(VL,Obj,Obj,Obj *);
        !          2579: void asir_terminate(int);
        !          2580: void check_intr();
        !          2581: void clctalg(P,VL *);
        !          2582: void comm_muld_trunc(VL vl,DP p1,DP p2,DL dl,DP *pr);
        !          2583: void comm_quod(VL vl,DP p1,DP p2,DP *pr);
        !          2584: void create_modorder_spec(int id,LIST shift,struct modorder_spec **s);
        !          2585: void dalgtoalg(DAlg da,Alg *r);
        !          2586: void divsz(Z n1,Z n2,Z *nq);
        !          2587: void dp_ht(DP p,DP *rp);
        !          2588: void dp_interreduce(LIST f,LIST v,int field,struct order_spec *ord,LIST *rp);
        !          2589: void dp_mbase(NODE,NODE *);
        !          2590: void dp_nf_tab_f(DP p,LIST *tab,DP *rp);
        !          2591: void dp_ptozp(DP,DP *);
        !          2592: void dp_sort(DP p,DP *rp);
        !          2593: void dp_subd(DP,DP,DP *);
        !          2594: void dp_true_nf(NODE,DP,DP *,int,DP *,P *);
        !          2595: void dp_true_nf_marked(NODE b,DP g,DP *ps,DP *hps,DP *rp,P *nmp,P *dnp);
        !          2596: void dp_true_nf_marked_mod(NODE b,DP g,DP *ps,DP *hps,int mod,DP *rp,P *dnp);
        !          2597: void gbcheck_list(NODE f,int n,VECT *gp,LIST *pp);
        !          2598: void gcdsf(VL vl,P *pa,int k,P *r);
        !          2599: void get_algtree(Obj f,VL *r);
        !          2600: void get_vars(Obj,VL *);
        !          2601: void gfstopgfs(GFS a,V v,P *c);
        !          2602: void henmain_incremental(LUM f,LUM *bqlist,ML cqlist, int np, int mod, int start, int bound);
        !          2603: void iftogfs(int n,GFS *c);
        !          2604: void indextogfs(int index,GFS *c);
        !          2605: void init_denomlist();
        !          2606: void inva_chrem(P p0,P p,NODE *pr);
        !          2607: void itogfs(int n,GFS *c);
        !          2608: void makevar(char *,P *);
        !          2609: void mdtodp(DP p,DP *pr);
        !          2610: void mfctrsf(VL vl,P f,DCP *dcp);
        !          2611: void mulp_trunc(VL vl,P p1,P p2,VN vn,P *pr);
        !          2612: void nd_det(int mod,MAT f,P *rp);
        !          2613: void nd_gr(LIST f,LIST v,int m,int homo,int retdp,int f4,struct order_spec *ord,LIST *rp);
        !          2614: void nd_gr_postproc(LIST f,LIST v,int m,struct order_spec *ord,int do_check,LIST *rp);
        !          2615: void nd_gr_recompute_trace(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,LIST *rp);
        !          2616: void nd_gr_trace(LIST f,LIST v,int trace,int homo,int f4,struct order_spec *ord,LIST *rp);
        !          2617: void nd_nf_p(Obj f,LIST g,LIST v,int m,struct order_spec *ord,Obj *rp);
        !          2618: void obj_algtodalg(Obj obj,Obj *r);
        !          2619: void obj_dalgtoalg(Obj obj,Obj *r);
        !          2620: void ox_bcast_102(int root);
        !          2621: void ox_reduce_102(int root,void (*func)());
        !          2622: void print_to_wfep(Obj obj);
        !          2623: void printz(Z n);
        !          2624: void pthrootgfs(GFS a,GFS *b);
        !          2625: void quop_trunc(VL vl,P p1,P p2,VN vn,P *pr);
        !          2626: void red_by_vect_sf(int m,unsigned int *p,unsigned int *r,unsigned int hc,int len);
        !          2627: void red_by_vect_lf(mpz_t *p,mpz_t *r,mpz_t hc,int len);
        !          2628: void removecont_array(P *c,int n,int full);
        !          2629: void reset_top_weight();
        !          2630: void setfield_dalg(NODE alist);
        !          2631: void setfield_gb(NODE gb,VL vl,struct order_spec *spec);
        !          2632: void setsecuremode(int value);
        !          2633: void sfbfctr_shift(P f,V x,V y,int degbound,GFS *evp,P *sfp,DCP *dcp);
        !          2634: void sfexgcd_by_hensel(BM g,BM h,int dy,BM *ap,BM *bp);
        !          2635: void sfptopsfp(P f,V v,P *gp);
        !          2636: void simpdalg(DAlg da,DAlg *r);
        !          2637: void simple_derivr(VL vl,Obj a,V v,Obj *b);
        !          2638: void substpp(VL vl,P p,V *vvect,P *svect,int nv,P *pr);
        !          2639: void ufctrsf(P p,DCP *dcp);
        !          2640: void vltopl(VL vl,LIST *l);
        !          2641:
        !          2642: int arf_comp(VL, Obj, Obj);
        !          2643: int available_mcindex(int ind);
        !          2644: int compare_zero(int n,int *u,int row,int **w);
        !          2645: int create_composite_order_spec(VL vl,LIST order,struct order_spec **specp);
        !          2646: int create_order_spec(VL,Obj,struct order_spec **);
        !          2647: int dalgtoup(DAlg da,P *up,Z *dn);
        !          2648: int dl_equal(int nv,DL dl1,DL dl2);
        !          2649: int dp_redble(DP,DP);
        !          2650: int dpv_hp(DPV p);
        !          2651: int generic_gauss_elim(MAT mat,MAT *nm,Z *dn,int **rindp,int **cindp);
        !          2652: int generic_gauss_elim2(MAT mat,MAT *nm,Z *dn,int **rindp,int **cindp);
        !          2653: int generic_gauss_elim_full(MAT mat,MAT *nm,Z *dn,int **rindp,int **cindp);
        !          2654: int generic_gauss_elim_direct(MAT mat,MAT *nm,Z *dn,int **rindp,int **cindp);
        !          2655: int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Z *dn,int **rindp,int **cindp);
        !          2656: int generic_gauss_elim_hensel_dalg(MAT mat,DP *mb,MAT *nmmat,Z *dn,int **rindp,int **cindp);
        !          2657: int generic_gauss_elim_mod(int **mat0,int row,int col,int md,int *colstat);
        !          2658: int generic_gauss_elim_mod2(int **mat0,int row,int col,int md,int *colstat,int *rowstat);
        !          2659: int get_field_type(P p);
        !          2660: int get_ox_server_id(int index);
        !          2661: int getsecuremode();
        !          2662: int find_lhs_and_lu_mod(unsigned int **a,int row,int col,unsigned int md,int **rinfo,int **cinfo);
        !          2663: void solve_by_lu_mod(int **a,int n,int md,int **b,int l,int normalize);
        !          2664: int inttorat(Z c,Z m,Z b,Z *nmp,Z *dnp);
        !          2665: int intvtoratv(Z *v,int n,Z md,Z b,Z *nm,Z *dn);
        !          2666: int intmtoratm(MAT mat,Z md,MAT nm,Z *dn);
        !          2667: int intmtoratm2(MAT mat,Z md,MAT nm,Z *dn,int *stat);
        !          2668: int gensolve_check(MAT mat,MAT nm,Z dn,int *rind,int *cind);
        !          2669: int gensolve_check2(MAT mat,MAT nm,Z *dn,int *rind,int *cind);
        !          2670: int invdalg(DAlg a,DAlg *c);
        !          2671: int is_eq(Obj a0,Obj a1);
        !          2672: int length(NODE);
        !          2673: int lu_mod(unsigned int **a,int n,unsigned int md,int **rinfo);
        !          2674: int n_bits_z(Z a);
        !          2675: int nd_gauss_elim_z(Z **mat0,int *sugar,int row,int col,int *colstat);
        !          2676: int poly_is_dependent(P p,V v);
        !          2677: int setsecureflag(char *name,int value);
        !          2678: int sfdegtest(int dy,int bound,UM *d1c,int k,int *in);
        !          2679: int sgnz(Z n);
        !          2680: int sgnq(Q n);
        !          2681: void binarytoz(char *binary,Z *np);
        !          2682: void hextoz(char *hex,Z *np);
        !          2683: void todouble(Obj,Obj *);
        !          2684:
        !          2685: void lmtolf(LM f,Z *b);
        !          2686:
        !          2687: #if defined(VISUAL) || defined(__MINGW32__)
        !          2688: void check_intr();
        !          2689: void enter_signal_cs();
        !          2690: void leave_signal_cs();
        !          2691: void leave_signal_cs_all();
        !          2692: #define LEAVE_SIGNAL_CS_ALL  leave_signal_cs_all()
        !          2693: #else
        !          2694: #define LEAVE_SIGNAL_CS_ALL
        !          2695: #endif

FreeBSD-CVSweb <freebsd-cvsweb@FreeBSD.org>