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Annotation of OpenXM_contrib2/asir2000/include/ca.h, Revision 1.102

1.4       noro        1: /*
                      2:  * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
                      3:  * All rights reserved.
                      4:  *
                      5:  * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
                      6:  * non-exclusive and royalty-free license to use, copy, modify and
                      7:  * redistribute, solely for non-commercial and non-profit purposes, the
                      8:  * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
                      9:  * conditions of this Agreement. For the avoidance of doubt, you acquire
                     10:  * only a limited right to use the SOFTWARE hereunder, and FLL or any
                     11:  * third party developer retains all rights, including but not limited to
                     12:  * copyrights, in and to the SOFTWARE.
                     13:  *
                     14:  * (1) FLL does not grant you a license in any way for commercial
                     15:  * purposes. You may use the SOFTWARE only for non-commercial and
                     16:  * non-profit purposes only, such as academic, research and internal
                     17:  * business use.
                     18:  * (2) The SOFTWARE is protected by the Copyright Law of Japan and
                     19:  * international copyright treaties. If you make copies of the SOFTWARE,
                     20:  * with or without modification, as permitted hereunder, you shall affix
                     21:  * to all such copies of the SOFTWARE the above copyright notice.
                     22:  * (3) An explicit reference to this SOFTWARE and its copyright owner
                     23:  * shall be made on your publication or presentation in any form of the
                     24:  * results obtained by use of the SOFTWARE.
                     25:  * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
1.5       noro       26:  * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
1.4       noro       27:  * for such modification or the source code of the modified part of the
                     28:  * SOFTWARE.
                     29:  *
                     30:  * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
                     31:  * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
                     32:  * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
                     33:  * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
                     34:  * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
                     35:  * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
                     36:  * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
                     37:  * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
                     38:  * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
                     39:  * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
                     40:  * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
                     41:  * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
                     42:  * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
                     43:  * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
                     44:  * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
                     45:  * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
                     46:  * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
                     47:  *
1.102   ! noro       48:  * $OpenXM: OpenXM_contrib2/asir2000/include/ca.h,v 1.101 2017/08/30 09:40:30 ohara Exp $
1.4       noro       49: */
1.1       noro       50: #include <stdio.h>
1.36      ohara      51: #include <stdlib.h>
1.85      noro       52: #include <gmp.h>
1.94      noro       53: #include <mpc.h>
1.96      ohara      54: #include <limits.h>
1.89      noro       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)
1.1       noro       62:
1.96      ohara      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:
1.1       noro       67: #if defined(hpux)
                     68: #include <netinet/in.h>
                     69: # define setbuffer(FP,buf,siz) setvbuf(FP,buf,_IOFBF,siz)
                     70: #endif
                     71:
1.93      fujimoto   72: #if !defined(VISUAL) && !defined(__MINGW32__)
1.36      ohara      73: #include <unistd.h>
1.28      noro       74: #include <sys/param.h>
                     75: #endif
                     76:
1.1       noro       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:
1.93      fujimoto   85: #if defined(VISUAL) || defined(__MINGW32__)
1.84      noro       86: #include <limits.h>
1.1       noro       87: #include <malloc.h>
                     88: #endif
                     89:
                     90: #if 0
                     91: #include <sys/types.h>
                     92: typedef caddr_t pointer;
                     93: #endif
                     94:
1.85      noro       95:
1.1       noro       96: typedef void * pointer;
                     97:
1.36      ohara      98: #if defined(sun)
                     99: #include <strings.h>
                    100: #else
                    101: #include <string.h>
1.93      fujimoto  102: #if defined(VISUAL) || defined(__MINGW32__)
1.1       noro      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)
1.36      ohara     106: #endif
1.1       noro      107: #endif
                    108:
1.81      noro      109: #define NULLP ((void *)0)
                    110:
1.67      saito     111: #define TODO           printf("%s: not implemented!\n", __func__)
                    112:
1.1       noro      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
1.6       noro      136: #define O_BYTEARRAY 16
1.13      noro      137: #define O_QUOTE 17
1.39      noro      138: #define O_OPTLIST 18
1.43      noro      139: #define O_SYMBOL 19
1.45      noro      140: #define O_RANGE 20
1.46      noro      141: #define O_TB 21
1.49      noro      142: #define O_DPV 22
1.50      noro      143: #define O_QUOTEARG 23
1.1       noro      144: #define O_VOID -1
1.55      saito     145: /* IMAT */
                    146: #define O_IMAT 24
                    147: /* IMAT */
1.61      noro      148: #define O_NBP 25
1.102   ! noro      149: #define O_DPM 26
1.1       noro      150:
                    151: #define N_Q 0
                    152: #define N_R 1
                    153: #define N_A 2
                    154: #define N_B 3
1.86      saito     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_GZ (N_BASE+9)
                    176: #define N_GQ (N_BASE+10)
1.89      noro      177: #define N_PARIB (N_BASE+11)
1.1       noro      178:
                    179: #define ORD_REVGRADLEX 0
                    180: #define ORD_GRADLEX 1
                    181: #define ORD_LEX 2
                    182:
1.50      noro      183: typedef enum {
                    184:        A_end=0,A_fnode,A_arf,A_int,A_str,A_internal,A_node,A_notimpl,A_func
                    185: } farg_type;
                    186:
1.77      ohara     187: #if SIZEOF_LONG == 8
                    188: typedef long L;
                    189: typedef unsigned long UL;
                    190: #elif defined(HAVE_UNSIGNED_LONG_LONG)
                    191: typedef long long L;
                    192: typedef unsigned long long UL;
                    193: #elif defined(_MSC_VER)
1.1       noro      194: typedef _int64 L;
                    195: typedef unsigned _int64 UL;
                    196: #endif
                    197:
                    198: typedef struct oN {
                    199:        int p;
                    200:        unsigned int b[1];
                    201: } *N;
                    202:
1.52      noro      203: typedef struct oZ {
                    204:        int p;
                    205:        unsigned int b[1];
                    206: } *Z;
                    207:
1.1       noro      208: typedef struct oUP2 {
                    209:        int w;
                    210:        unsigned int b[1];
                    211: } *UP2;
                    212:
                    213: typedef struct _oUP2 {
                    214:        int w;
                    215:        unsigned int *b;
                    216: } *_UP2;
                    217:
                    218: #define UP2_DENSE 0
                    219: #define UP2_SPARSE 1
                    220:
                    221: typedef struct oGEN_UP2 {
                    222:        int id;
                    223:        UP2 dense;
                    224:        UP2 sparse;
                    225: } *GEN_UP2;
                    226:
                    227: typedef struct oV {
                    228:        char *name;
                    229:        pointer attr;
                    230:        pointer priv;
                    231: } *V;
                    232:
                    233: typedef struct oQ {
                    234:        short id;
                    235:        char nid;
                    236:        char sgn;
                    237:        N nm;
                    238:        N dn;
                    239: } *Q;
                    240:
                    241: typedef struct oReal {
                    242:        short id;
                    243:        char nid;
                    244:        char pad;
                    245:        double body;
                    246: } *Real;
                    247:
                    248: typedef struct oAlg {
                    249:        short id;
                    250:        char nid;
                    251:        char pad;
                    252:        struct oObj *body;
                    253: } *Alg;
                    254:
                    255: typedef struct oBF {
                    256:        short id;
                    257:        char nid;
                    258:        char pad;
1.89      noro      259:        mpfr_t body;
1.1       noro      260: } *BF;
                    261:
                    262: typedef struct oC {
                    263:        short id;
                    264:        char nid;
                    265:        char pad;
                    266:        struct oNum *r,*i;
                    267: } *C;
                    268:
                    269: typedef struct oLM {
                    270:        short id;
                    271:        char nid;
                    272:        char pad;
                    273:        struct oN *body;
                    274: } *LM;
                    275:
                    276: typedef struct oGF2N {
                    277:        short id;
                    278:        char nid;
                    279:        char pad;
                    280:        struct oUP2 *body;
                    281: } *GF2N;
                    282:
                    283: typedef struct oGFPN {
                    284:        short id;
                    285:        char nid;
                    286:        char pad;
                    287:        struct oUP *body;
                    288: } *GFPN;
                    289:
1.53      noro      290: typedef struct oDAlg {
                    291:        short id;
                    292:        char nid;
                    293:        char pad;
                    294:        struct oDP *nm;
                    295:        struct oQ *dn;
                    296: } *DAlg;
                    297:
1.85      noro      298: typedef struct oGZ {
                    299:        short id;
                    300:        char nid;
                    301:        char pad;
                    302:        mpz_t body;
                    303: } *GZ;
                    304:
                    305: typedef struct oGQ {
                    306:        short id;
                    307:        char nid;
                    308:        char pad;
                    309:        mpq_t body;
                    310: } *GQ;
1.53      noro      311:
1.1       noro      312: typedef struct oNum {
                    313:        short id;
                    314:        char nid;
                    315:        char pad;
                    316: } *Num;
                    317:
                    318: typedef struct oMQ {
                    319:        short id;
                    320:        char nid;
                    321:        char pad;
                    322:        int cont;
                    323: } *MQ;
                    324:
1.12      noro      325: typedef struct oGFS {
                    326:        short id;
                    327:        char nid;
                    328:        char pad;
                    329:        int cont;
                    330: } *GFS;
                    331:
1.21      noro      332: typedef struct oGFSN {
1.20      noro      333:        short id;
                    334:        char nid;
                    335:        char pad;
                    336:        struct oUM *body;
1.21      noro      337: } *GFSN;
1.12      noro      338:
1.1       noro      339: typedef struct oP {
                    340:        short id;
                    341:        short pad;
                    342:        V v;
                    343:        struct oDCP *dc;
                    344: } *P;
                    345:
                    346: typedef struct oR {
                    347:        short id;
                    348:        short reduced;
                    349:        P nm;
                    350:        P dn;
                    351: } *R;
                    352:
                    353: typedef struct oVECT {
                    354:        short id;
                    355:        short pad;
                    356:        int len;
                    357:        pointer *body;
                    358: } *VECT;
                    359:
                    360: typedef struct oMAT {
                    361:        short id;
                    362:        short pad;
                    363:        int row,col;
                    364:        pointer **body;
                    365: } *MAT;
                    366:
                    367: typedef struct oGF2MAT {
                    368:        short id;
                    369:        short pad;
                    370:        int row,col;
                    371:        unsigned int **body;
                    372: } *GF2MAT, *GFMMAT;
                    373:
1.55      saito     374: /* IMAT */
                    375: #define IMATCH 64
                    376:
                    377: typedef struct oIENT {
                    378:        int cr;
                    379:        int row, col;
                    380:        pointer *body;
                    381: } IENT;
                    382:
                    383: typedef struct oIMATC {
                    384:        pointer *fore;
                    385:        pointer *next;
                    386:        IENT ient[IMATCH];
                    387: } *IMATC;
                    388:
                    389: typedef struct oIMAT {
                    390:        short id;
                    391:        int row, col, clen;
                    392:        pointer *root;
                    393:        pointer *toor;
                    394: } *IMAT;
                    395: /* IMAT */
1.1       noro      396: typedef struct oLIST {
                    397:        short id;
                    398:        short pad;
                    399:        struct oNODE *body;
                    400: } *LIST;
                    401:
                    402: typedef struct oSTRING {
                    403:        short id;
                    404:        short pad;
                    405:        char *body;
                    406: } *STRING;
                    407:
                    408: typedef struct oCOMP {
                    409:        short id;
                    410:        short type;
                    411:        struct oObj *member[1];
                    412: } *COMP;
                    413:
                    414: typedef struct oDP {
                    415:        short id;
                    416:        short nv;
                    417:        int sugar;
                    418:        struct oMP *body;
                    419: } *DP;
                    420:
1.49      noro      421: typedef struct oDPV {
                    422:        short id;
                    423:        int len;
                    424:        int sugar;
                    425:        struct oDP **body;
                    426: } *DPV;
                    427:
1.102   ! noro      428:
1.1       noro      429: typedef struct oUSINT {
                    430:        short id;
                    431:        short pad;
                    432:        unsigned body;
                    433: } *USINT;
                    434:
                    435: typedef struct oERR {
                    436:        short id;
                    437:        short pad;
                    438:        struct oObj *body;
                    439: } *ERR;
                    440:
                    441: typedef struct oMATHCAP {
                    442:        short id;
                    443:        short pad;
                    444:        struct oLIST *body;
                    445: } *MATHCAP;
                    446:
1.6       noro      447: typedef struct oBYTEARRAY {
                    448:        short id;
                    449:        short pad;
                    450:        int len;
                    451:        unsigned char *body;
                    452: } *BYTEARRAY;
                    453:
1.13      noro      454: typedef struct oQUOTE {
                    455:        short id;
1.59      noro      456:        short pad;
1.13      noro      457:        pointer body;
                    458: } *QUOTE;
                    459:
1.50      noro      460: typedef struct oQUOTEARG {
                    461:        short id;
                    462:        short pad;
                    463:        farg_type type;
                    464:        pointer body;
                    465: } *QUOTEARG;
                    466:
1.39      noro      467: typedef struct oOPTLIST {
                    468:        short id;
                    469:        short pad;
                    470:        struct oNODE *body;
                    471: } *OPTLIST;
                    472:
1.45      noro      473: typedef struct oSYMBOL {
1.43      noro      474:        short id;
                    475:        short pad;
                    476:        char *name;
                    477:        int value;
1.45      noro      478: } *SYMBOL;
                    479:
                    480: typedef struct oRANGE {
                    481:        short id;
                    482:        short pad;
                    483:        struct oObj *start,*end;
                    484: } *RANGE;
                    485:
1.46      noro      486: typedef struct oTB {
                    487:        short id;
                    488:        short pad;
                    489:        int size,next;
                    490:        char **body;
                    491: } *TB;
1.43      noro      492:
1.61      noro      493: typedef struct oNBP {
                    494:        short id;
                    495:        short pad;
                    496:        struct oNODE *body;
                    497: } *NBP;
                    498:
                    499: /* non-commutative bivariate monomial */
                    500:
                    501: typedef struct oNBM {
                    502:        int d;
1.65      noro      503:        P c;
1.61      noro      504:        unsigned int *b;
                    505: } *NBM;
                    506:
                    507: #define NEWNBM(p) ((p)=(NBM)MALLOC(sizeof(struct oNBM)))
                    508: #define NEWNBMBDY(p,d) \
                    509: ((p)->b=(unsigned int *)MALLOC((((d)+31)/32)*sizeof(unsigned int)))
                    510: #define NEWNBP(p) ((p)=(NBP)MALLOC(sizeof(struct oNBP)),OID(p)=O_NBP)
                    511: #define MKNBP(p,b) (NEWNBP(p),BDY(p)=(b))
                    512:
                    513: #define NBM_GET(a,j) (((a)[(j)>>5]&(1<<((j)&31)))?1:0)
                    514: #define NBM_SET(a,j) ((a)[(j)>>5]|=(1<<((j)&31)))
                    515: #define NBM_CLR(a,j) ((a)[(j)>>5]&=(~(1<<((j)&31))))
                    516:
1.1       noro      517: typedef struct oObj {
                    518:        short id;
                    519:        short pad;
                    520: } *Obj;
                    521:
                    522: typedef struct oDCP {
                    523:        Q d;
                    524:        P c;
                    525:        struct oDCP *next;
                    526: } *DCP;
                    527:
                    528: typedef struct oMP {
                    529:        struct oDL *dl;
1.102   ! noro      530:        Obj c;
1.1       noro      531:        struct oMP *next;
                    532: } *MP;
                    533:
1.102   ! noro      534: typedef struct oDPM {
        !           535:        short id;
        !           536:        short nv;
        !           537:        int sugar;
        !           538:        struct oDMM *body;
        !           539: } *DPM;
        !           540:
        !           541: typedef struct oDMM {
        !           542:   int pos;
        !           543:        struct oDL *dl;
        !           544:        Obj c;
        !           545:        struct oDMM *next;
        !           546: } *DMM;
        !           547:
1.1       noro      548: typedef struct oDL {
                    549:        int td;
                    550:        int d[1];
                    551: } *DL;
1.23      noro      552:
1.29      noro      553: struct dp_pairs {
                    554:        int dp1, dp2;
                    555:        DL lcm;
                    556:        int sugar;
                    557:        struct dp_pairs *next;
                    558: };
                    559:
                    560: typedef struct dp_pairs *DP_pairs;
                    561:
                    562: struct p_pair {
                    563:        struct oUM *p0;
                    564:        struct oUM *p1;
                    565:        struct p_pair *next;
                    566: };
                    567:
                    568: struct oMF {
                    569:        int m;
                    570:        P f;
                    571: };
                    572:
1.23      noro      573: /*
                    574:  * compressed DP
                    575:  */
                    576:
                    577: typedef struct oCDP {
                    578:        int len;
1.26      noro      579:        int psindex;
1.27      noro      580:        unsigned int *body;
1.23      noro      581: } *CDP;
                    582:
1.24      noro      583: typedef struct oCM {
1.23      noro      584:        int index;
                    585:        int c;
1.24      noro      586: } *CM;
1.1       noro      587:
1.25      noro      588: /* bucket list for DL */
                    589:
                    590: typedef struct oDLBUCKET {
                    591:        int td;
                    592:        struct oNODE *body;
                    593:        struct oDLBUCKET *next;
                    594: } *DLBUCKET;
1.37      noro      595:
                    596: typedef struct oGeoBucket {
                    597:        int m;
                    598:        struct oNODE *body[32];
                    599: } *GeoBucket;
1.25      noro      600:
1.1       noro      601: typedef struct oVL {
                    602:        V v;
                    603:        struct oVL *next;
                    604: } *VL;
                    605:
                    606: typedef struct oNODE {
                    607:        pointer body;
                    608:        struct oNODE *next;
                    609: } *NODE;
                    610:
1.16      noro      611: /* univariate poly over small finite field; dense */
1.1       noro      612: typedef struct oUM {
                    613:        int d;
                    614:        int c[1];
                    615: } *UM;
                    616:
1.16      noro      617: /* univariate poly with padic coeff */
1.1       noro      618: typedef struct oLUM {
                    619:        int d;
                    620:        int *c[1];
                    621: } *LUM;
                    622:
1.16      noro      623: /* bivariate poly over small finite field; dense */
                    624:
                    625: typedef struct oBM {
                    626:        int d;
                    627:        UM c[1];
                    628: } *BM;
                    629:
1.1       noro      630: typedef struct oML {
                    631:        int n;
                    632:        int mod;
                    633:        int bound;
                    634:        pointer c[1];
                    635: } *ML;
                    636:
                    637: typedef struct oUB {
                    638:        int d;
                    639:        N c[1];
                    640: } *UB;
                    641:
                    642: typedef struct oVN {
                    643:        V v;
                    644:        int n;
                    645: } *VN;
                    646:
                    647: typedef struct oUP {
                    648:        int d;
                    649:        Num c[1];
                    650: } *UP;
                    651:
                    652: typedef struct oDUM {
                    653:        int n;
                    654:        UM f;
                    655: } *DUM;
                    656:
                    657: struct order_pair {
                    658:        int order, length;
                    659: };
                    660:
1.42      noro      661: struct sparse_weight {
                    662:        int pos, value;
                    663: };
                    664:
                    665: #define IS_DENSE_WEIGHT 0
                    666: #define IS_SPARSE_WEIGHT 1
                    667: #define IS_BLOCK 2
                    668:
                    669: struct weight_or_block {
                    670:        int type;
                    671:        int length;
                    672:        union {
                    673:                int *dense_weight;
                    674:                struct sparse_weight *sparse_weight;
                    675:                struct {
                    676:                        int order, start;
                    677:                } block;
                    678:        } body;
                    679: };
                    680:
1.1       noro      681: struct order_spec {
                    682:        int id;
                    683:        Obj obj;
                    684:        int nv;
1.74      noro      685:        int ispot; /* 1 means Position over Term (Pos then Term) */
1.79      noro      686:        int pot_nelim; /* size of positions for pot-elimination order */
1.95      noro      687:   int *top_weight;
                    688:   int module_rank;
                    689:   int *module_top_weight;
1.1       noro      690:        union {
                    691:                int simple;
                    692:                struct {
                    693:                        int length;
                    694:                        struct order_pair *order_pair;
                    695:                } block;
                    696:                struct {
                    697:                        int row;
                    698:                        int **matrix;
                    699:                } matrix;
1.42      noro      700:                struct {
                    701:                        int length;
                    702:                        struct weight_or_block *w_or_b;
                    703:                } composite;
1.1       noro      704:        } ord;
                    705: };
                    706:
1.49      noro      707: struct modorder_spec {
                    708:        /* id : ORD_REVGRADLEX, ORD_GRADLEX, ORD_LEX */
                    709:        int id;
                    710:        Obj obj;
                    711:        int len;
                    712:        int *degree_shift;
                    713: };
                    714:
1.53      noro      715: typedef struct oNumberField {
                    716:        int n;
1.57      noro      717:        int psn;
1.53      noro      718:        int dim;
                    719:        VL vl;
                    720:        P *defpoly;
                    721:        DP *mb;
                    722:        DP *ps;
                    723:        struct oDAlg *one;
                    724:        NODE ind;
                    725:        struct order_spec *spec;
                    726: } *NumberField;
                    727:
1.1       noro      728: /* structure for cputime */
                    729:
                    730: struct oEGT {
                    731:        double exectime,gctime;
                    732: };
                    733:
                    734: /* constant */
                    735:
                    736: /* ground finite field specification */
                    737: #define FF_NOT_SET 0
                    738: #define FF_GFP 1
                    739: #define FF_GF2N 2
                    740: #define FF_GFPN 3
1.12      noro      741: #define FF_GFS 4
1.21      noro      742: #define FF_GFSN 5
1.11      saito     743:
                    744: /* include interval.h */
                    745: #include "interval.h"
1.1       noro      746:
                    747: #define INDEX 100
                    748:
1.35      ohara     749: #if defined(USE_FLOAT)
1.1       noro      750: typedef float ModNum;
                    751: #define NPrimes 536
                    752: #else
                    753: typedef unsigned int ModNum;
                    754: #define NPrimes 13681
                    755: #endif
                    756:
                    757: /* general macros */
1.28      noro      758: #if defined(MAX)
                    759: #undef MAX
                    760: #endif
                    761: #if defined(MIN)
                    762: #undef MIN
                    763: #endif
1.1       noro      764: #define MAX(a,b) ((a) > (b) ? (a) : (b) )
                    765: #define MIN(a,b) ((a) > (b) ? (b) : (a) )
                    766: #ifdef ABS
                    767: #undef ABS
                    768: #endif
                    769: #define ABS(a) ((a)>0?(a):-(a))
                    770: #define ID(p) ((p)->id)
                    771: #define OID(p) (((Obj)(p))->id)
                    772: #define NID(p) (((Num)(p))->nid)
                    773: #define BDY(p) ((p)->body)
                    774: #define VR(p) ((p)->v)
                    775: #define NAME(p) ((p)->name)
                    776: #define NEXT(p) ((p)->next)
                    777: #define NM(q) ((q)->nm)
                    778: #define DN(q) ((q)->dn)
                    779: #define SGN(q) ((q)->sgn)
                    780: #define DC(p) ((p)->dc)
                    781: #define COEF(p) ((p)->c)
                    782: #define DEG(p) ((p)->d)
                    783: #define PL(n) ((n)->p)
                    784: #define BD(n) ((n)->b)
                    785: #define CONT(a) ((a)->cont)
                    786: #define UDEG(f) BD(NM(DEG(DC(f))))[0]
                    787: #define UCOEF(f) (COEF(DC(f)))
                    788: #define LC(f) (NUM(f)?(f):COEF(DC(f)))
                    789:
                    790: /* memory allocators (W_... : uses alloca) */
                    791:
                    792: #define MALLOC(d) Risa_GC_malloc(d)
                    793: #define MALLOC_ATOMIC(d) Risa_GC_malloc_atomic(d)
1.82      noro      794: #define MALLOC_ATOMIC_IGNORE_OFF_PAGE(d) Risa_GC_malloc_atomic_ignore_off_page(d)
1.1       noro      795: #define REALLOC(p,d) Risa_GC_realloc(p,d)
1.82      noro      796: #define GCFREE(p) Risa_GC_free(p)
1.1       noro      797: #define CALLOC(d,e) MALLOC((d)*(e))
                    798:
1.100     noro      799: #if 0
1.93      fujimoto  800: #if !defined(__CYGWIN__) && (defined(__GNUC__) || defined(vax) || defined(apollo) || defined(alloca) || defined(VISUAL) || defined(__MINGW32__))
1.1       noro      801: #define ALLOCA(d) alloca(d)
                    802: #else
                    803: #define ALLOCA(d) MALLOC(d)
1.32      noro      804: #endif
1.100     noro      805: #endif
                    806:
                    807: #define ALLOCA(d) MALLOC(d)
1.32      noro      808:
1.97      ohara     809: /* for handling signals */
                    810: #if defined(HAVE_SIGACTION)  /* POSIX */
                    811: void (*set_signal(int sig, void (*handler)(int)))(int);
                    812: #define set_signal_for_restart(x,y) (0)
                    813: #else
                    814: #define set_signal(x,y)             (signal(x,y))
                    815: #define set_signal_for_restart(x,y) (signal(x,y))
                    816: #endif
                    817:
1.32      noro      818: /* for setjmp/longjmp compatibility */
1.97      ohara     819: #if defined(__CYGWIN__) || defined(HAVE_SIGACTION) || (defined(__x86_64) && !defined(__MINGW32__))
1.32      noro      820: #define JMP_BUF sigjmp_buf
                    821: #define SETJMP(x) sigsetjmp(x,~0)
                    822: #define LONGJMP(x,y) siglongjmp(x,y)
                    823: #else
                    824: #define JMP_BUF jmp_buf
                    825: #define SETJMP(x) setjmp(x)
                    826: #define LONGJMP(x,y) longjmp(x,y)
1.1       noro      827: #endif
                    828:
                    829: #define TRUESIZE(type,n,atype) (sizeof(struct type)+MAX((n),0)*sizeof(atype))
                    830: #define NALLOC(d) ((N)MALLOC_ATOMIC(TRUESIZE(oN,(d)-1,int)))
                    831: #define UMALLOC(d) ((UM)MALLOC(TRUESIZE(oUM,d,int)))
                    832: #define UPALLOC(d) ((UP)MALLOC(TRUESIZE(oUP,(d),Num)))
                    833: #define C_UMALLOC(d) ((UM)MALLOC(TRUESIZE(oUM,d,int)))
                    834: #define MLALLOC(d) ((ML)MALLOC(TRUESIZE(oML,d,pointer)))
                    835:
                    836: #define W_ALLOC(d) ((int *)ALLOCA(((d)+1)*sizeof(int)))
                    837: #define W_CALLOC(n,type,p) \
                    838: ((p)=(type *)ALLOCA(((n)+1)*sizeof(type)),\
                    839: bzero((char *)(p),(int)(((n)+1)*sizeof(type))))
                    840: #define W_UMALLOC(d) ((UM)ALLOCA(TRUESIZE(oUM,d,int)))
                    841: #define W_UPALLOC(d) ((UP)ALLOCA(TRUESIZE(oUP,(d),Num)))
                    842: #define W_MLALLOC(d) ((ML)ALLOCA(TRUESIZE(oML,d,pointer)))
                    843: #define W_LUMALLOC(n,bound,p)\
                    844: {\
                    845:        LUM ___q___;\
                    846:        int ___i___,**___c___;\
                    847:        (___q___) = (LUM)ALLOCA(TRUESIZE(oLUM,(n),int *));\
                    848:        DEG(___q___) = n;\
                    849:        for ( ___i___ = 0, ___c___ = (int **)COEF(___q___); ___i___ <= n; ___i___++ ) {\
                    850:                ___c___[___i___] = (int *)ALLOCA(((bound)+1)*sizeof(int));\
                    851:                bzero((char *)___c___[___i___],((bound)+1)*sizeof(int));\
                    852:        }\
                    853:        (p) = ___q___;\
                    854: }
                    855:
1.18      noro      856: #define W_BMALLOC(dx,dy,p)\
1.16      noro      857: {\
                    858:        BM ___q___;\
                    859:        int ___i___;\
                    860:        UM *___c___;\
1.18      noro      861:        (___q___) = (BM)ALLOCA(TRUESIZE(oBM,(dy),UM));\
                    862:        DEG(___q___) = dy;\
1.16      noro      863:        ___c___ = (UM *)COEF(___q___);\
1.18      noro      864:        for ( ___i___ = 0; ___i___ <= dy; ___i___++ ) {\
                    865:                ___c___[___i___] = W_UMALLOC(dx);\
                    866:                clearum(___c___[___i___],dx);\
1.16      noro      867:        }\
                    868:        (p) = ___q___;\
                    869: }
                    870:
1.1       noro      871: #define NEWUP2(q,w)\
                    872: ((q)=(UP2)MALLOC_ATOMIC(TRUESIZE(oUP2,(w)-1,unsigned int)),\
                    873: bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
                    874: #define W_NEWUP2(q,w)\
                    875: ((q)=(UP2)ALLOCA(TRUESIZE(oUP2,(w)-1,unsigned int)),\
                    876: bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
                    877: #define W_NEW_UP2(q,w)\
                    878: ((q).b=(unsigned int *)ALLOCA((w)*sizeof(unsigned int)))
                    879:
                    880: /* cell allocators */
1.85      noro      881: #define NEWGZ(q) ((q)=(GZ)MALLOC(sizeof(struct oGZ)),OID(q)=O_N,NID(q)=N_GZ)
                    882: #define NEWGQ(q) ((q)=(GQ)MALLOC(sizeof(struct oGQ)),OID(q)=O_N,NID(q)=N_GQ)
1.1       noro      883: #define NEWQ(q) ((q)=(Q)MALLOC(sizeof(struct oQ)),OID(q)=O_N,NID(q)=N_Q)
                    884: #define NEWMQ(q) ((q)=(MQ)MALLOC_ATOMIC(sizeof(struct oMQ)),OID(q)=O_N,NID(q)=N_M)
1.12      noro      885: #define NEWGFS(q) ((q)=(GFS)MALLOC_ATOMIC(sizeof(struct oGFS)),OID(q)=O_N,NID(q)=N_GFS)
1.21      noro      886: #define NEWGFSN(q) ((q)=(GFSN)MALLOC(sizeof(struct oGFSN)),OID(q)=O_N,NID(q)=N_GFSN)
1.1       noro      887: #define NEWP(p) ((p)=(P)MALLOC(sizeof(struct oP)),OID(p)=O_P)
                    888: #define NEWR(r) ((r)=(R)MALLOC(sizeof(struct oR)),OID(r)=O_R,(r)->reduced=0)
                    889: #define NEWLIST(l) ((l)=(LIST)MALLOC(sizeof(struct oLIST)),OID(l)=O_LIST)
                    890: #define NEWVECT(l) ((l)=(VECT)MALLOC(sizeof(struct oVECT)),OID(l)=O_VECT)
                    891: #define NEWSTR(l) ((l)=(STRING)MALLOC(sizeof(struct oSTRING)),OID(l)=O_STR)
                    892: #define NEWCOMP(c,n) ((c)=(COMP)MALLOC(sizeof(struct oCOMP)+((n)-1)*sizeof(Obj)),OID(c)=O_COMP)
                    893: #define NEWDP(d) ((d)=(DP)MALLOC(sizeof(struct oDP)),OID(d)=O_DP)
1.49      noro      894: #define NEWDPV(d) ((d)=(DPV)MALLOC(sizeof(struct oDPV)),OID(d)=O_DPV)
1.102   ! noro      895: #define NEWDPM(d) ((d)=(DPM)MALLOC(sizeof(struct oDPM)),OID(d)=O_DPM)
1.1       noro      896: #define NEWUSINT(u) ((u)=(USINT)MALLOC_ATOMIC(sizeof(struct oUSINT)),OID(u)=O_USINT)
                    897: #define NEWERR(e) ((e)=(ERR)MALLOC(sizeof(struct oERR)),OID(e)=O_ERR)
                    898: #define NEWMATHCAP(e) ((e)=(MATHCAP)MALLOC(sizeof(struct oMATHCAP)),OID(e)=O_MATHCAP)
1.6       noro      899: #define NEWBYTEARRAY(e) ((e)=(BYTEARRAY)MALLOC(sizeof(struct oBYTEARRAY)),OID(e)=O_BYTEARRAY)
1.13      noro      900: #define NEWQUOTE(e) ((e)=(QUOTE)MALLOC(sizeof(struct oQUOTE)),OID(e)=O_QUOTE)
1.50      noro      901: #define NEWQUOTEARG(e) ((e)=(QUOTEARG)MALLOC(sizeof(struct oQUOTEARG)),OID(e)=O_QUOTEARG)
1.39      noro      902: #define NEWOPTLIST(l) ((l)=(OPTLIST)MALLOC(sizeof(struct oOPTLIST)),OID(l)=O_OPTLIST)
1.43      noro      903: #define NEWSYMBOL(l) ((l)=(SYMBOL)MALLOC(sizeof(struct oSYMBOL)),OID(l)=O_SYMBOL)
1.45      noro      904: #define NEWRANGE(l) ((l)=(RANGE)MALLOC(sizeof(struct oRANGE)),OID(l)=O_RANGE)
1.46      noro      905: #define NEWTB(l) ((l)=(TB)MALLOC(sizeof(struct oTB)),OID(l)=O_TB,(l)->size=256,(l)->next=0,(l)->body=(char **)MALLOC((l)->size*sizeof(char *)))
1.1       noro      906:
                    907: #define NEWNODE(a) ((a)=(NODE)MALLOC(sizeof(struct oNODE)))
                    908: #define NEWDC(dc) ((dc)=(DCP)MALLOC(sizeof(struct oDCP)))
                    909: #define NEWV(v) ((v)=(V)MALLOC(sizeof(struct oV)))
                    910: #define NEWVL(vl) ((vl)=(VL)MALLOC(sizeof(struct oVL)))
                    911: #define NEWMP(m) ((m)=(MP)MALLOC(sizeof(struct oMP)))
1.102   ! noro      912: #define NEWDMM(m) ((m)=(DMM)MALLOC(sizeof(struct oDMM)))
1.25      noro      913: #define NEWDLBUCKET(a) ((a)=(DLBUCKET)MALLOC(sizeof(struct oDLBUCKET)))
1.29      noro      914: #define NEWDPP(a) ((a)=(DP_pairs)MALLOC(sizeof(struct dp_pairs)))
1.1       noro      915:
                    916: #define NEWMAT(l) ((l)=(MAT)MALLOC(sizeof(struct oMAT)),OID(l)=O_MAT)
                    917: #define NEWGF2MAT(l) ((l)=(GF2MAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GF2MAT)
                    918: #define NEWGFMMAT(l) ((l)=(GFMMAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GFMMAT)
1.55      saito     919: /* IMAT */
                    920: #define NEWIMAT(l) ((l)=(IMAT)MALLOC(sizeof(struct oIMAT)),OID(l)=O_IMAT,l->clen=0,l->root=0,l->toor=0)
                    921: #define NEWIENT(l) ((l)=(IMATC)MALLOC(sizeof(struct oIMATC)),l->fore=0,l->next=0)
                    922: /* IMAT */
1.1       noro      923: #define NEWReal(q) ((q)=(Real)MALLOC_ATOMIC(sizeof(struct oReal)),OID(q)=O_N,NID(q)=N_R)
                    924: #define NEWAlg(r) ((r)=(Alg)MALLOC(sizeof(struct oAlg)),OID(r)=O_N,NID(r)=N_A)
1.53      noro      925: #define NEWDAlg(r) ((r)=(DAlg)MALLOC(sizeof(struct oDAlg)),OID(r)=O_N,NID(r)=N_DA)
1.89      noro      926: #define NEWBF(q) ((q)=(BF)MALLOC(sizeof(struct oBF)),OID(q)=O_N,NID(q)=N_B)
                    927: #define NEWPARIBF(q,l) ((q)=(BF)MALLOC_ATOMIC(TRUESIZE(oBF,(l)-1,long)),OID(q)=O_N,NID(q)=N_PARIB)
1.1       noro      928: #define NEWC(r) ((r)=(C)MALLOC(sizeof(struct oC)),OID(r)=O_N,NID(r)=N_C)
                    929: #define NEWLM(r) ((r)=(LM)MALLOC(sizeof(struct oLM)),OID(r)=O_N,NID(r)=N_LM)
                    930: #define NEWGF2N(r) ((r)=(GF2N)MALLOC(sizeof(struct oGF2N)),OID(r)=O_N,NID(r)=N_GF2N)
                    931: #define NEWGFPN(r) ((r)=(GFPN)MALLOC(sizeof(struct oGFPN)),OID(r)=O_N,NID(r)=N_GFPN)
                    932: #define NEWDL(d,n) \
                    933: ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)),bzero((char *)(d),TRUESIZE(oDL,(n)-1,int)))
1.9       noro      934: #define NEWDL_NOINIT(d,n) \
                    935: ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)))
1.1       noro      936:
                    937: #define MKP(v,dc,p) \
1.51      noro      938: ((!DEG(dc)&&!NEXT(dc))?((p)=COEF(dc)):(NEWP(p),VR(p)=(v),DC(p)=(dc),(p)))
1.1       noro      939: #define MKV(v,p) \
                    940: (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
                    941: DEG(DC(p))=ONE,COEF(DC(p))=(P)ONE,NEXT(DC(p))=0)
                    942: #define MKRAT(n,d,r,p) \
                    943: (NEWR(p),NM(p)=(n),DN(p)=(d),(p)->reduced=(r))
                    944: #define MKMV(v,p) \
                    945: (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
                    946: DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
                    947: #define MKNODE(a,b,c) \
                    948: (NEWNODE(a),(a)->body=(pointer)b,NEXT(a)=(NODE)(c))
                    949: #define MKLIST(a,b) (NEWLIST(a),(a)->body=(NODE)(b))
                    950: #define MKVECT(m,l) \
                    951: (NEWVECT(m),(m)->len=(l),(m)->body=(pointer *)CALLOC((l),sizeof(pointer)))
                    952: #define MKMAT(m,r,c) \
                    953: (NEWMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(pointer **)almat_pointer((r),(c)))
                    954: #define TOGF2MAT(r,c,b,m) (NEWGF2MAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
                    955: #define TOGFMMAT(r,c,b,m) (NEWGFMMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
                    956: #define MKSTR(a,b) (NEWSTR(a),(a)->body=(char *)(b))
                    957: #define MKDP(n,m,d) (NEWDP(d),(d)->nv=(n),BDY(d)=(m))
1.49      noro      958: #define MKDPV(len,m,d) (NEWDPV(d),(d)->len=(len),BDY(d)=(m))
1.102   ! noro      959: #define MKDPM(n,m,d) (NEWDPM(d),(d)->nv=(n),BDY(d)=(m))
1.1       noro      960: #define MKLM(b,l) (!(b)?(l)=0:(NEWLM(l),(l)->body=(b),(l)))
                    961: #define MKGF2N(b,l) (!(b)?(l)=0:(NEWGF2N(l),(l)->body=(b),(l)))
                    962: #define MKGFPN(b,l) (!(b)?(l)=0:(NEWGFPN(l),(l)->body=(b),(l)))
                    963: #define MKUSINT(u,b) (NEWUSINT(u),(u)->body=(unsigned)(b))
                    964: #define MKERR(e,b) (NEWERR(e),(e)->body=(Obj)(b))
                    965: #define MKMATHCAP(e,b) (NEWMATHCAP(e),(e)->body=(LIST)(b))
1.6       noro      966: #define MKBYTEARRAY(m,l) \
1.64      noro      967: (NEWBYTEARRAY(m),(m)->len=(l),(m)->body=(unsigned char *)MALLOC_ATOMIC((l)),bzero((m)->body,(l)))
1.48      noro      968: #define MKQUOTE(q,b) (NEWQUOTE(q),(q)->body=(pointer)(b))
1.50      noro      969: #define MKQUOTEARG(q,t,b) (NEWQUOTEARG(q),(q)->type=(t),(q)->body=(pointer)(b))
1.1       noro      970:
                    971: #define NEXTDC(r,c) \
                    972: if(!(r)){NEWDC(r);(c)=(r);}else{NEWDC(NEXT(c));(c)=NEXT(c);}
                    973: #define NEXTNODE(r,c) \
                    974: if(!(r)){NEWNODE(r);(c)=(r);}else{NEWNODE(NEXT(c));(c)=NEXT(c);}
                    975: #define NEXTMP(r,c) \
                    976: if(!(r)){NEWMP(r);(c)=(r);}else{NEWMP(NEXT(c));(c)=NEXT(c);}
1.9       noro      977: #define NEXTMP2(r,c,s) \
                    978: if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
1.25      noro      979: #define NEXTDLBUCKET(r,c) \
                    980: if(!(r)){NEWDLBUCKET(r);(c)=(r);}else{NEWDLBUCKET(NEXT(c));(c)=NEXT(c);}
1.29      noro      981: #define NEXTVL(r,c) \
                    982: if(!(r)){NEWVL(r);(c)=(r);}else{NEWVL(NEXT(c));(c)=NEXT(c);}
                    983: #define NEXTDPP(r,c) \
                    984: if(!(r)){NEWDPP(r);(c)=(r);}else{NEWDPP(NEXT(c));(c)=NEXT(c);}
1.102   ! noro      985: #define NEXTDMM(r,c) \
        !           986: if(!(r)){NEWDMM(r);(c)=(r);}else{NEWDMM(NEXT(c));(c)=NEXT(c);}
1.1       noro      987:
                    988: /* convertors */
                    989: #define NTOQ(n,s,q) \
                    990: (!(n)?((q)=0):(NEWQ(q),SGN(q)=(s),NM(q)=(n),DN(q)=0,(q)))
                    991: #define NDTOQ(n,d,s,q) \
                    992: ((!(d)||UNIN(d))?NTOQ(n,s,q):(NEWQ(q),SGN(q)=(s),NM(q)=(n),DN(q)=(d),(q)))
                    993: #define DUPQ(p,q) \
                    994: (NEWQ(q),SGN(q)=SGN(p),NM(q)=NM(p),DN(q)=DN(p))
                    995: #define STOQ(n,q) \
                    996: ((!(n))?((q)=(Q)NULL):(NEWQ(q),\
                    997: SGN(q)=((n)>0?1:-1),NM(q)=NALLOC(1),\
                    998: PL(NM(q))=1,BD(NM(q))[0]=ABS(n),DN(q)=0,(q)))
                    999: #define UTOMQ(a,b) \
                   1000: ((a)?(NEWMQ(b),CONT(b)=(unsigned int)(a),(b)):((b)=0))
1.12      noro     1001: #define MKGFS(a,b) \
                   1002: ((NEWGFS(b),CONT(b)=(a),(b)))
1.21      noro     1003: #define MKGFSN(a,b) \
                   1004: ((DEG(a)>=0)?(NEWGFSN(b),BDY(b)=(a),(b)):((b)=0))
1.1       noro     1005: #define STOMQ(a,b) \
                   1006: ((a)?(NEWMQ(b),CONT(b)=(a),(b)):((b)=0))
                   1007: #define UTON(u,n) \
                   1008: ((!(u))?((n)=(N)NULL):((n)=NALLOC(1),PL(n)=1,BD(n)[0]=(unsigned int)(u),(n)))
                   1009: #define UTOQ(n,q) \
                   1010: ((!(n))?((q)=(Q)NULL):(NEWQ(q),\
                   1011: SGN(q)=1,NM(q)=NALLOC(1),\
                   1012: PL(NM(q))=1,BD(NM(q))[0]=(unsigned int)(n),DN(q)=0,(q)))
                   1013: #define QTOS(q) (!(q)?0:SGN(q)*((int)BD(NM(q))[0]))
                   1014: #define STON(i,n)\
                   1015: (i?((n)=NALLOC(1),PL(n)=1,BD(n)[0]=(i),(n)):((n)=(N)0))
                   1016: #define PTOR(a,b) \
                   1017: (!(a)?((b)=0):(NEWR(b),NM(b)=(a),DN(b)=(P)ONE,(b)->reduced=1,(b)))
                   1018: #define RTOS(a) (!(a)?0:QTOS((Q)NM((R)a)))
                   1019: #define MKReal(a,b) (!(a)?((b)=0):(NEWReal(b),BDY(b)=(a),(b)))
                   1020: #define MKAlg(b,r) \
                   1021: (!(b)?((r)=0):NUM(b)?((r)=(Alg)(b)):(NEWAlg(r),BDY(r)=(Obj)(b),(r)))
1.68      noro     1022: #define MKDAlg(dp,den,r) (!(dp)?(void *)((r)=0):(void *)(NEWDAlg(r),(r)->nm = (dp),(r)->dn=(den)))
1.1       noro     1023:
1.52      noro     1024: #define IMM_MAX 1073741823
                   1025: #define IMM_MIN -1073741823
                   1026:
                   1027: #define SL(n) ((n)->p)
                   1028: #define ZALLOC(d) ((Z)MALLOC_ATOMIC(TRUESIZE(oZ,(d)-1,int)))
                   1029:
1.89      noro     1030: #define ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):BIGFLOAT(a)?mpfrtodbl(BDY((BF)a)):0)
1.1       noro     1031:
                   1032: /* predicates */
                   1033: #define NUM(p) (OID(p)==O_N)
                   1034: #define RAT(p) (OID(p)==O_R)
                   1035: #define RATN(a) (NID(a)==N_Q)
1.65      noro     1036: #define POLY(a) (!(a) ||(OID(a)<=O_P))
1.22      noro     1037: #define INT(q) (!(q)||(NUM(q)&&RATN((Num)q)&&!DN((Q)q)))
1.1       noro     1038: #define REAL(a) (NID(a)==N_R)
1.3       noro     1039: #define BIGFLOAT(a) (NID(a)==N_B)
1.1       noro     1040: #define SFF(a) (NID(a)==N_M)
                   1041: #define UNIQ(q) ((q)&&NUM(q)&&RATN(q)&&(SGN((Q)q)==1)&&UNIN(NM((Q)q))&&(!DN((Q)q)))
                   1042: #define UNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==1))
                   1043: #define MUNIQ(q) ((q)&&NUM(q)&&RATN(q)&&(SGN((Q)q)==-1)&&UNIN(NM((Q)q))&&(!DN((Q)q)))
                   1044: #define MUNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==-1))
1.98      noro     1045: #define UNILM(n) ((n)&&UNIN(BDY(n)))
1.1       noro     1046: #define UNIN(n) ((n)&&(PL(n)==1)&&(BD(n)[0]==1))
                   1047: #define EVENN(n) ((!(n))||(!(BD(n)[0]%2)))
                   1048:
1.8       noro     1049: /* special macros for private memory management */
                   1050:
                   1051: #define NV(p) ((p)->nv)
                   1052: #define C(p) ((p)->c)
1.28      noro     1053: #if 0
1.8       noro     1054: #define ITOS(p) (((unsigned int)(p))&0x7fffffff)
                   1055: #define STOI(i) ((P)((unsigned int)(i)|0x80000000))
1.28      noro     1056: #else
                   1057: #define ITOS(p) (((unsigned int)(p)))
                   1058: #define STOI(i) ((P)((unsigned int)(i)))
                   1059: #endif
1.15      noro     1060:
                   1061: /* immediate GFS representation */
                   1062:
                   1063: #define IFTOF(p) ((int)(((unsigned int)(p))&0x7fffffff))
                   1064: #define FTOIF(i) ((int)(((unsigned int)(i)|0x80000000)))
1.8       noro     1065:
                   1066: struct cdl {
1.102   ! noro     1067:        Obj c;
1.8       noro     1068:        DL d;
                   1069: };
                   1070:
                   1071: struct cdlm {
                   1072:        int c;
                   1073:        DL d;
                   1074: };
                   1075:
                   1076: extern MP _mp_free_list;
                   1077: extern DP _dp_free_list;
                   1078: extern DL _dl_free_list;
                   1079: extern int current_dl_length;
                   1080:
                   1081: #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)
                   1082: #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)))
                   1083: #define _NEWMP(m) if(!_mp_free_list)_MP_alloc(); (m)=_mp_free_list; _mp_free_list = NEXT(_mp_free_list)
1.10      noro     1084: #define _MKDP(n,m,d) if(!_dp_free_list)_DP_alloc(); (d)=_dp_free_list; _dp_free_list = (DP)BDY(_dp_free_list); (d)->id = O_DP; (d)->nv=(n); BDY(d)=(m)
1.8       noro     1085:
                   1086: #define _NEXTMP(r,c) \
                   1087: if(!(r)){_NEWMP(r);(c)=(r);}else{_NEWMP(NEXT(c));(c)=NEXT(c);}
                   1088:
                   1089: #define _NEXTMP2(r,c,s) \
                   1090: if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
                   1091:
                   1092: #define _FREEDL(m) *((DL *)m)=_dl_free_list; _dl_free_list=(m)
                   1093: #define _FREEMP(m) NEXT(m)=_mp_free_list; _mp_free_list=(m)
                   1094: #define _FREEDP(m) BDY(m)=(MP)_dp_free_list; _dp_free_list=(m)
1.1       noro     1095:
1.33      noro     1096: #define MUL_WEIGHT(a,i) (current_dl_weight_vector?(a)*current_dl_weight_vector[i]:(a))
                   1097:
1.1       noro     1098: /* externals */
                   1099: #if 0
                   1100: double NatToReal();
                   1101: double RatnToReal();
                   1102: #endif
                   1103:
                   1104: extern struct oR oUNIR;
                   1105: extern struct oQ oUNIQ;
                   1106: extern struct oMQ oUNIMQ;
                   1107: extern struct oN oUNIN;
                   1108: extern struct oUP2 oONEUP2;
                   1109: extern struct oV oVAR[];
                   1110: extern struct oV oPVAR[];
                   1111: extern struct oVL oVLIST[];
                   1112: extern struct oVL oPVLIST[];
                   1113: extern VL CO,ALG;
                   1114: extern VL PVL;
                   1115: extern R ONER;
                   1116: extern Q ONE;
1.38      saito    1117: extern Q TWO;
1.1       noro     1118: extern MQ ONEM;
                   1119: extern LM ONELM;
                   1120: extern N ONEN;
                   1121: extern UP2 ONEUP2;
                   1122:
                   1123: extern FILE *asir_out;
1.7       noro     1124: #if defined(__GNUC__)
1.1       noro     1125: extern const int sprime[];
                   1126: #else
                   1127: extern int sprime[];
                   1128: #endif
                   1129:
                   1130: extern void (*addnumt[])();
                   1131: extern void (*subnumt[])();
                   1132: extern void (*mulnumt[])();
                   1133: extern void (*divnumt[])();
                   1134: extern void (*pwrnumt[])();
                   1135: extern int (*cmpnumt[])();
                   1136: extern void (*chsgnnumt[])();
                   1137:
1.29      noro     1138: extern int current_mod;
                   1139: extern GEN_UP2 current_mod_gf2n;
                   1140: extern int lm_lazy;
                   1141: extern int current_ff;
                   1142: extern V up_var;
                   1143: extern V up2_var;
                   1144: extern P current_gfs_ext;
                   1145: extern int current_gfs_p;
                   1146: extern int current_gfs_q;
                   1147: extern int current_gfs_q1;
                   1148: extern int *current_gfs_plus1;
                   1149: extern int *current_gfs_ntoi;
                   1150: extern int *current_gfs_iton;
1.33      noro     1151:
                   1152: extern int *current_dl_weight_vector;
1.29      noro     1153:
1.1       noro     1154: /* prototypes */
                   1155: int compui(VL,USINT,USINT);
1.6       noro     1156: int compbytearray(VL,BYTEARRAY,BYTEARRAY);
1.1       noro     1157:
                   1158: void powermodup(UP,UP *);
                   1159: void hybrid_powermodup(UP,UP *);
                   1160:
                   1161: void powertabup(UP,UP,UP *);
                   1162: void hybrid_powertabup(UP,UP,UP *);
                   1163:
                   1164: void generic_powermodup(UP,UP,Q,UP *);
                   1165: void hybrid_generic_powermodup(UP,UP,Q,UP *);
                   1166:
                   1167: void powermod1up(UP,UP *);
                   1168: void hybrid_rembymulup_special(int,UP,UP,UP,UP *);
                   1169: void hybrid_tmulup(int,UP,UP,int,UP *);
                   1170: void hybrid_squareup(int,UP,UP *);
                   1171: void hybrid_mulup(int,UP,UP,UP *);
                   1172:
                   1173: void getmod_lm(N *);
                   1174:
1.44      noro     1175: int cmpdl_composite(int,DL,DL);
1.1       noro     1176: int cmpdl_matrix(int,DL,DL);
                   1177: int cmpdl_order_pair(int,DL,DL);
                   1178: int cmpdl_elim(int,DL,DL);
                   1179: int cmpdl_blexrev(int,DL,DL);
                   1180: int cmpdl_bgradrev(int,DL,DL);
                   1181: int cmpdl_brevrev(int,DL,DL);
                   1182: int cmpdl_brevgradlex(int,DL,DL);
                   1183: int cmpdl_bgradlex(int,DL,DL);
                   1184: int cmpdl_blex(int,DL,DL);
                   1185: int cmpdl_revgradlex(int,DL,DL);
                   1186: int cmpdl_gradlex(int,DL,DL);
                   1187: int cmpdl_revlex(int,DL,DL);
                   1188: int cmpdl_lex(int,DL,DL);
1.49      noro     1189:
                   1190: void adddv(VL,DPV,DPV,DPV *);
                   1191: void subdv(VL,DPV,DPV,DPV *);
                   1192: void muldv(VL,DP,DPV,DPV *);
                   1193: void chsgndv(DPV,DPV *);
                   1194: int compdv(VL,DPV,DPV);
1.1       noro     1195:
1.102   ! noro     1196: void adddpm(VL,DPM,DPM,DPM *);
        !          1197: void subdpm(VL,DPM,DPM,DPM *);
        !          1198: void mulobjdpm(VL,Obj,DPM,DPM *);
        !          1199: void chsgndpm(DPM,DPM *);
        !          1200: int compdpm(VL,DPM,DPM);
        !          1201:
1.1       noro     1202: void _printdp(DP);
                   1203: void _dp_sp_mod(DP,DP,int,DP *);
                   1204: void _dp_mod(DP,int,NODE,DP *);
                   1205: void _dp_red_mod(DP,DP,int,DP *);
                   1206: void _dtop_mod(VL,VL,DP,P *);
                   1207: void _mulmdm(VL,int,DP,MP,DP *);
                   1208: void _mulmd(VL,int,DP,DP,DP *);
                   1209: void _chsgnmd(int,DP,DP *);
                   1210: void _submd(VL,int,DP,DP,DP *);
                   1211: void _addmd(VL,int,DP,DP,DP *);
                   1212: void _mdtop(VL,int,VL,DP,P *);
                   1213: void divsmdc(VL,int,DP,P,DP *);
                   1214: void mulmdc(VL,int,DP,P,DP *);
                   1215: void mulmdm(VL,int,DP,MP,DP *);
                   1216: void mulmd(VL,int,DP,DP,DP *);
                   1217: void chsgnmd(int,DP,DP *);
                   1218: void submd(VL,int,DP,DP,DP *);
                   1219: void addmd(VL,int,DP,DP,DP *);
                   1220: void mdtop(VL,int,VL,DP,P *);
                   1221: void mptomd(VL,int,VL,P,DP *);
                   1222: void ptomd(VL,int,VL,P,DP *);
                   1223: int p_mag(P);
                   1224: int n_bits(N);
                   1225: void gcdBinary_27n(N,N,N *);
                   1226: void rtime_init(void);
                   1227: void setmod_gf2n(P);
                   1228: void mt_sgenrand(unsigned long);
                   1229: unsigned long mt_genrand(void);
1.93      fujimoto 1230: #if defined(VISUAL) || defined(__MINGW32__)
1.1       noro     1231: void srandom(unsigned int);
                   1232: unsigned int random(void);
                   1233: #endif
                   1234: void gcdbmodn(N,N,N *);
                   1235: void gcdbinn(N,N,N *);
                   1236: void gcdmodn(N,N,N *);
                   1237: void gcdaccn(N,N,N *);
                   1238: void gcdEuclidn(N,N,N *);
                   1239: void GC_free(void *);
                   1240: void FFT_primes(int,int *,int *,int *);
                   1241: int FFT_pol_product(unsigned int,unsigned int *, unsigned int,unsigned int *,
                   1242:        unsigned int *,int,unsigned int *);
                   1243: int FFT_pol_square(unsigned int,unsigned int *,
                   1244:        unsigned int *,int,unsigned int *);
                   1245: void dcptolist(DCP,LIST *);
                   1246: void gcdprsmp(VL,int,P,P,P *);
                   1247: void mult_mod_tab(UM,int,UM *,UM,int);
                   1248: int nfctr_mod(UM,int);
                   1249: int irred_check(UM,int);
                   1250: void modfctrp(P,int,int,DCP *);
                   1251: void pf_init(void);
                   1252: void binaryton(char *,N *);
                   1253: void hexton(char *,N *);
                   1254: void ptolmp(P,P *);
                   1255: void lmptop(P,P *);
                   1256: void ulmptoum(int,UP,UM);
                   1257: void objtobobj(int,Obj,Obj *);
                   1258: void bobjtoobj(int,Obj,Obj *);
                   1259: void numtobnum(int,Num,Num *);
                   1260: void bnumtonum(int,Num,Num *);
                   1261: void ptobp(int,P,P *);
                   1262: void bptop(int,P,P *);
                   1263: void listtoblist(int,LIST,LIST *);
                   1264: void blisttolist(int,LIST,LIST *);
                   1265: void vecttobvect(int,VECT,VECT *);
                   1266: void bvecttovect(int,VECT,VECT *);
                   1267: void mattobmat(int,MAT,MAT *);
                   1268: void bmattomat(int,MAT,MAT *);
                   1269: void n32ton27(N,N *);
                   1270: void n27ton32(N,N *);
                   1271: void kmulum(int,UM,UM,UM);
                   1272: void saveobj(FILE *,Obj);
                   1273: void endian_init(void);
                   1274: void write_char(FILE *,unsigned char *);
                   1275: void write_short(FILE *,unsigned short *);
                   1276: void write_int(FILE *,unsigned int *);
                   1277: void write_double(FILE *,double *);
                   1278: void write_intarray(FILE *,unsigned int *,int);
                   1279: void write_string(FILE *,unsigned char *,int);
                   1280: void savestr(FILE *,char *);
                   1281: void loadstr(FILE *,char **);
                   1282: void savevl(FILE *,VL);
                   1283: void loadvl(FILE *);
                   1284: void skipvl(FILE *);
                   1285: void savev(FILE *,V);
                   1286: void loadv(FILE *,V *);
                   1287: int save_convv(V);
                   1288: V load_convv(int);
                   1289: void swap_bytes(char *,int,int);
                   1290: void read_char(FILE *,unsigned char *);
                   1291: void read_short(FILE *,unsigned short *);
                   1292: void read_int(FILE *,unsigned int *);
                   1293: void read_double(FILE *,double *);
                   1294: void read_intarray(FILE *,unsigned int *,int);
                   1295: void read_string(FILE *,unsigned char *,int);
                   1296: void loadobj(FILE *,Obj *);
                   1297: void invum(int,UM,UM,UM);
                   1298: void addarray_to(unsigned int *,int,unsigned int *,int);
                   1299: void muln_1(unsigned int *,int,unsigned int,unsigned int *);
                   1300: unsigned int divn_1(unsigned int *,int,unsigned int,unsigned int *);
                   1301: void ptoup(P,UP *);
                   1302: void uptop(UP,P *);
                   1303: void printnum(Num);
                   1304: void printv(VL,V);
                   1305: void kmulq(Q,Q,Q *);
                   1306: void bshiftn(N,int,N *);
                   1307: void remn(N,N,N*);
                   1308: void simplm(LM,LM *);
                   1309: void qtolm(Q,LM *);
                   1310: int qpcheck(Obj);
                   1311: int headsgn(P);
                   1312: void adjsgn(P,DCP);
                   1313: void setmod_g2n(P);
                   1314: void simpgf2n(GF2N,GF2N *);
                   1315: void ptogf2n(Obj,GF2N *);
                   1316: void gf2ntop(GF2N,P *);
                   1317: void gf2ntovect(GF2N,VECT *);
                   1318: void squaregf2n(GF2N,GF2N *);
                   1319: void randomgf2n(GF2N *);
                   1320: void invgf2n(GF2N,GF2N *);
                   1321: void kmuln(N,N,N *);
                   1322: void extractn(N,int,int,N *);
                   1323: void copyn(N,int,int *);
                   1324: void kmulnmain(N,N,N *);
                   1325: int qcoefp(Obj);
                   1326: int qcoefr(Obj);
1.80      ohara    1327: size_t get_allocwords(void);
1.1       noro     1328: double get_clock(void);
                   1329: void get_eg(struct oEGT *);
                   1330: void printtime(struct oEGT *,struct oEGT *,double);
                   1331: void init_eg(struct oEGT *);
                   1332: void add_eg(struct oEGT *,struct oEGT *,struct oEGT *);
                   1333: void print_eg(char *,struct oEGT *);
                   1334: void print_split_eg(struct oEGT *,struct oEGT *);
                   1335: void print_split_e(struct oEGT *,struct oEGT *);
                   1336: void suspend_timer(void);
                   1337: void resume_timer(void);
                   1338: void reset_engine(void);
                   1339: void notdef(VL,Obj,Obj,Obj *);
                   1340: void error(char *);
                   1341: void ptoup2(P,UP2 *);
                   1342: void ptoup2_sparse(P,UP2 *);
                   1343: void up2top(UP2,P *);
                   1344: void up2tovect(UP2,VECT *);
                   1345: void up2ton(UP2,Q *);
                   1346: void ntoup2(Q,UP2 *);
                   1347: void gen_simpup2(UP2,GEN_UP2,UP2 *);
                   1348: void gen_simpup2_destructive(UP2,GEN_UP2);
                   1349: void gen_invup2(UP2,GEN_UP2,UP2 *);
                   1350: void gen_pwrmodup2(UP2,Q,GEN_UP2,UP2 *);
                   1351: void simpup2(UP2,UP2,UP2 *);
                   1352: int degup2(UP2);
                   1353: int degup2_sparse(UP2);
                   1354: int degup2_1(unsigned int);
                   1355: void addup2(UP2,UP2,UP2 *);
                   1356: void subup2(UP2,UP2,UP2 *);
                   1357: void mulup2_n1(unsigned int *,int,unsigned int,unsigned int *);
                   1358: void mulup2_nh(unsigned int *,int,unsigned int,unsigned int *);
                   1359: void _mulup2_1(UP2,unsigned int,UP2);
                   1360: void _mulup2_h(UP2,unsigned int,UP2);
                   1361: void mulup2(UP2,UP2,UP2 *);
                   1362: void _kmulup2_(unsigned int *,unsigned int *,int,unsigned int *);
                   1363: void _mulup2_nn(unsigned int *,unsigned int *,int,unsigned int *);
                   1364: void _mulup2(UP2,UP2,UP2);
                   1365: void _mulup2_(_UP2,_UP2,_UP2);
                   1366: void squareup2(UP2,UP2 *);
                   1367: void _adjup2(UP2);
                   1368: void _adjup2_(_UP2);
                   1369: void _addup2(UP2,UP2,UP2);
                   1370: void _addup2_destructive(UP2,UP2);
                   1371: void _addup2_(_UP2,_UP2,_UP2);
                   1372: void _addtoup2_(_UP2,_UP2);
                   1373: unsigned int mulup2_bb(unsigned int,unsigned int);
                   1374: void init_up2_tab(void);
                   1375: unsigned int quoup2_11(unsigned int,unsigned int);
                   1376: void divup2_1(unsigned int,unsigned int,int,int,unsigned int *,unsigned int *);
                   1377: void qrup2(UP2,UP2,UP2 *,UP2 *);
                   1378: void _qrup2(UP2,UP2,UP2,UP2);
                   1379: void remup2(UP2,UP2,UP2 *);
                   1380: void _remup2(UP2,UP2,UP2);
                   1381: void remup2_sparse(UP2,UP2,UP2 *);
                   1382: void remup2_sparse_destructive(UP2,UP2);
                   1383: void remup2_type1_destructive(UP2,int);
                   1384: void remup2_3_destructive(UP2,UP2);
                   1385: void remup2_5_destructive(UP2,UP2);
                   1386: void _invup2_1(unsigned int,unsigned int,unsigned int *,unsigned int *);
                   1387: void _gcdup2_1(unsigned int,unsigned int,unsigned int *);
                   1388: void up2_init_eg(void);
                   1389: void up2_show_eg(void);
                   1390: void invup2(UP2,UP2,UP2 *);
                   1391: void gcdup2(UP2,UP2,UP2 *);
                   1392: void chsgnup2(UP2,UP2 *);
                   1393: void pwrmodup2(UP2,Q,UP2,UP2 *);
                   1394: void pwrmodup2_sparse(UP2,Q,UP2,UP2 *);
                   1395: int compup2(UP2,UP2);
                   1396: void printup2(UP2);
                   1397: void _copyup2(UP2,UP2);
                   1398: void _bshiftup2(UP2,int,UP2);
                   1399: void _bshiftup2_destructive(UP2,int);
                   1400: void diffup2(UP2,UP2 *);
                   1401: int sqfrcheckup2(UP2);
                   1402: int irredcheckup2(UP2);
                   1403: int irredcheck_dddup2(UP2);
                   1404: void _copy_up2bits(UP2,unsigned int **,int);
                   1405: void _print_frobmat(unsigned int **,int,int);
                   1406: int compute_multiplication_matrix(P,GF2MAT *);
                   1407: void compute_change_of_basis_matrix(P,P,int,GF2MAT *,GF2MAT *);
                   1408: int compute_representation_conversion_matrix(P,GF2MAT *,GF2MAT *);
                   1409: void mul_nb(GF2MAT,unsigned int *,unsigned int *,unsigned int *);
                   1410: void leftshift(unsigned int *,int);
                   1411: void mat_to_gf2mat(MAT,unsigned int ***);
                   1412: void gf2mat_to_mat(unsigned int **,int,MAT *);
                   1413: void mulgf2mat(int,unsigned int **,unsigned int **,unsigned int **);
                   1414: void mulgf2vectmat(int,unsigned int *,unsigned int **,unsigned int *);
                   1415: int mulgf2vectvect(int,unsigned int *,unsigned int *);
                   1416: int invgf2mat(int,unsigned int **,unsigned int **);
                   1417: void _mulup2_11(unsigned int,unsigned int,unsigned int *);
                   1418: void _mulup2_22(unsigned int *,unsigned int *,unsigned int *);
                   1419: void _mulup2_33(unsigned int *,unsigned int *,unsigned int *);
                   1420: void _mulup2_44(unsigned int *,unsigned int *,unsigned int *);
                   1421: void _mulup2_55(unsigned int *,unsigned int *,unsigned int *);
                   1422: void _mulup2_66(unsigned int *,unsigned int *,unsigned int *);
                   1423: void printup2_(unsigned int *,int);
                   1424: void type1_bin_invup2(UP2,int,UP2 *);
                   1425: int int_bits(int);
                   1426:
                   1427:
                   1428: LUM LUMALLOC(int, int);
1.16      noro     1429: BM BMALLOC(int, int);
1.1       noro     1430: Obj ToAlg(Num);
                   1431: UM *berlemain(register int, UM, UM *);
1.75      ohara    1432: void Risa_GC_set_adj(int,int);
                   1433: void Risa_GC_get_adj(int *,int *);
1.1       noro     1434: void *Risa_GC_malloc(size_t);
                   1435: void *Risa_GC_malloc_atomic(size_t);
                   1436: void *Risa_GC_realloc(void *,size_t);
1.83      ohara    1437: void Risa_GC_free(void *);
                   1438: void *Risa_GC_malloc_atomic_ignore_off_page(size_t);
1.1       noro     1439: void *GC_malloc(size_t);
                   1440: void *GC_malloc_atomic(size_t);
                   1441: void *GC_realloc(void *,size_t);
                   1442: double NatToReal(N,int *);
                   1443: double RatnToReal(Q);
                   1444: double pwrreal0(double,int);
1.3       noro     1445: double rtodbl(); /* XXX */
1.90      noro     1446: double mpfrtodbl(mpfr_t a);
1.1       noro     1447: int **almat(int,int);
                   1448: pointer **almat_pointer(int,int);
                   1449: int berlecnt(register int,UM);
                   1450: int berlecntmain(register int,int,int,register int **);
                   1451: int cmpalg(Num,Num);
                   1452: int cmpbf(Num,Num);
                   1453: int cmpcplx(Num,Num);
                   1454: int cmpn(N,N);
                   1455: int cmpq(Q,Q);
                   1456: int cmpreal(Real,Real);
                   1457: int cmpmi(MQ,MQ);
                   1458: int cmplm(LM,LM);
                   1459: int compmat(VL,MAT,MAT);
                   1460: int compnum(VL,Num,Num);
                   1461: int compp(VL,P,P);
                   1462: int compr(VL,Obj,Obj);
                   1463: int compstr(VL,STRING,STRING);
                   1464: int compvect(VL,VECT,VECT);
                   1465: int ctest(P,ML,int,int *);
                   1466: int cycchk(P);
                   1467: int dbound(V,P);
                   1468: int dcomp(P,P);
                   1469: int deg(V,P);
                   1470: int degtest(int,int *,ML,int);
                   1471: int divcheck(VL,P *,int,P,P);
                   1472: unsigned int divin(N,unsigned int,N *);
                   1473: int divtdcpz(VL,P,P,P *);
                   1474: int divtpz(VL,P,P,P *);
                   1475: int divum(register int,UM,UM,UM);
                   1476: int dm(int,int,int *);
                   1477: int dmb(int,int,int,int *);
                   1478: int dma(int,int,int,int *);
                   1479: int dmab(int,int,int,int,int *);
                   1480: int dmar(int,int,int,int);
                   1481: int dtestmain(P,Q,ML,int,int *,P *,P *);
                   1482: int geldb(VL,P);
                   1483: int getchomdeg(V,P);
                   1484: int getdeg(V,P);
                   1485: int getlchomdeg(V,P,int *);
1.29      noro     1486: int get_lprime(int);
1.1       noro     1487: int homdeg(P);
                   1488: unsigned int invm(unsigned int,int);
                   1489: int iscycm(P);
                   1490: int iscycp(P);
                   1491: int lengthp(P);
                   1492: int mig(int,int,P);
                   1493: int mignotte(int,P);
                   1494: int minimain(register int,int,int,register int **);
                   1495: int ncombi(int,int,int,int *);
                   1496: int nextbin(VN,int);
                   1497: int nmonop(P);
                   1498: int pcoef(VL,VL,P,P *);
                   1499: int pcoef0(VL,VL,P,P *);
                   1500: unsigned int pwrm(register int,register int,int);
1.29      noro     1501: unsigned int rem(N,int);
1.1       noro     1502: int sqfrchk(P);
                   1503: int subn(N,N,N *);
                   1504: int ucmpp(P,P);
                   1505: int valideval(VL,DCP,VN);
                   1506: int zerovpchk(VL,P,VN);
                   1507:
                   1508: void addgf2n(GF2N,GF2N,GF2N *);
                   1509: void subgf2n(GF2N,GF2N,GF2N *);
                   1510: void mulgf2n(GF2N,GF2N,GF2N *);
                   1511: void divgf2n(GF2N,GF2N,GF2N *);
                   1512: void chsgngf2n(GF2N,GF2N *);
                   1513: void pwrgf2n(GF2N,Q, GF2N *);
                   1514: int cmpgf2n(GF2N,GF2N);
                   1515:
                   1516: void addgfpn(GFPN,GFPN,GFPN *);
                   1517: void subgfpn(GFPN,GFPN,GFPN *);
                   1518: void mulgfpn(GFPN,GFPN,GFPN *);
                   1519: void divgfpn(GFPN,GFPN,GFPN *);
                   1520: void chsgngfpn(GFPN,GFPN *);
                   1521: void pwrgfpn(GFPN,Q, GFPN *);
                   1522: int cmpgfpn(GFPN,GFPN);
1.12      noro     1523:
                   1524: void addgfs(GFS,GFS,GFS *);
                   1525: void subgfs(GFS,GFS,GFS *);
                   1526: void mulgfs(GFS,GFS,GFS *);
                   1527: void divgfs(GFS,GFS,GFS *);
                   1528: void chsgngfs(GFS,GFS *);
                   1529: void pwrgfs(GFS,Q, GFS *);
                   1530: int cmpgfs(GFS,GFS);
1.20      noro     1531:
1.21      noro     1532: void addgfsn(GFSN,GFSN,GFSN *);
                   1533: void subgfsn(GFSN,GFSN,GFSN *);
                   1534: void mulgfsn(GFSN,GFSN,GFSN *);
                   1535: void divgfsn(GFSN,GFSN,GFSN *);
                   1536: void chsgngfsn(GFSN,GFSN *);
                   1537: void pwrgfsn(GFSN,Q, GFSN *);
                   1538: int cmpgfsn(GFSN,GFSN);
1.53      noro     1539:
                   1540: void adddalg(DAlg,DAlg,DAlg *);
                   1541: void subdalg(DAlg,DAlg,DAlg *);
                   1542: void muldalg(DAlg,DAlg,DAlg *);
                   1543: void divdalg(DAlg,DAlg,DAlg *);
                   1544: void chsgndalg(DAlg,DAlg *);
                   1545: void pwrdalg(DAlg,Q, DAlg *);
                   1546: int cmpdalg(DAlg,DAlg);
1.1       noro     1547:
                   1548: void addalg(Num,Num,Num *);
                   1549: void addbf(Num,Num,Num *);
                   1550: void addcplx(Num,Num,Num *);
                   1551: void addm2p(VL,Q,Q,P,P,P *);
                   1552: void addm2q(Q,Q,Q,Q,Q *);
                   1553: void addmat(VL,MAT,MAT,MAT *);
                   1554: void addmp(VL,int,P,P,P *);
                   1555: void addmpq(int,P,P,P *);
                   1556: void addmptoc(VL,int,P,P,P *);
                   1557: void addmq(int,MQ,MQ,MQ *);
                   1558: void addn(N,N,N *);
                   1559: void addnum(VL,Num,Num,Num *);
                   1560: void addp(VL,P,P,P *);
                   1561: void addpadic(int,int,unsigned int *,unsigned int *);
                   1562: void addpq(P,P,P *);
                   1563: void addptoc(VL,P,P,P *);
                   1564: void addq(Q,Q,Q *);
                   1565: void addr(VL,Obj,Obj,Obj *);
                   1566: void addreal(Num,Num,Real *);
                   1567: void addmi(MQ,MQ,MQ *);
                   1568: void addlm(LM,LM,LM *);
                   1569: void addstr(VL,STRING,STRING,STRING *);
                   1570: void addum(int,UM,UM,UM);
                   1571: void addvect(VL,VECT,VECT,VECT *);
1.19      noro     1572: void addquote(VL,QUOTE,QUOTE,QUOTE *);
1.1       noro     1573: void adjc(VL,P,P,P,Q,P *,P *);
                   1574: void afctr(VL,P,P,DCP *);
                   1575: void afctrmain(VL,P,P,int,DCP *);
                   1576: void affine(VL,P,VN,P *);
                   1577: void affinemain(VL,P,V,int,P *,P *);
                   1578: void berle(int,int,P,ML *);
                   1579: void bnton(register int,N,N *);
                   1580: void cbound(VL,P,Q *);
                   1581: void chnrem(int,V,P,Q,UM,P *,Q *);
                   1582: void chnremp(VL,int,P,Q,P,P *);
                   1583: void chsgnalg(Num,Num *);
                   1584: void chsgnbf(Num a,Num *);
                   1585: void chsgncplx(Num,Num *);
                   1586: void chsgnmat(MAT,MAT *);
                   1587: void chsgnmp(int,P,P *);
                   1588: void chsgnnum(Num,Num *);
                   1589: void chsgnp(P,P *);
                   1590: void chsgnq(Q,Q *);
                   1591: void chsgnr(Obj,Obj *);
                   1592: void chsgnreal(Num,Num *);
                   1593: void chsgnmi(MQ,MQ *);
                   1594: void chsgnlm(LM,LM *);
                   1595: void chsgnvect(VECT,VECT *);
1.19      noro     1596: void chsgnquote(QUOTE,QUOTE *);
1.1       noro     1597: void clctv(VL,P,VL *);
                   1598: void clctvr(VL,Obj,VL *);
                   1599: void cm2p(Q,Q,P,P *);
                   1600: void cmax(P,Q *);
                   1601: void cmp(Q,P,P *);
                   1602: void coefp(P,int,P *);
                   1603: void cpylum(int,LUM,LUM);
                   1604: void cpyum(UM,UM);
                   1605: void csump(VL,P,Q *);
                   1606: void cycm(V,register int,DCP *);
                   1607: void cycp(V,register int,DCP *);
                   1608: void degp(V,P,Q *);
                   1609: void degum(UM,int);
                   1610: void detmp(VL,int,P **,int,P *);
                   1611: void detp(VL,P **,int,P *);
                   1612: void diffp(VL,P,V,P *);
                   1613: void diffum(register int,UM,UM);
                   1614: void divalg(Num,Num,Num *);
                   1615: void divbf(Num,Num,Num *);
                   1616: void divcp(P,Q,P *);
                   1617: void divcplx(Num,Num,Num *);
                   1618: void divmat(VL,Obj,Obj,Obj *);
                   1619: void divmq(int,MQ,MQ,MQ *);
                   1620: void divn(N,N,N *,N *);
                   1621: void divnmain(int,int,unsigned int *,unsigned int *,unsigned int *);
                   1622: void divnum(VL,Num,Num,Num *);
                   1623: void divq(Q,Q,Q *);
                   1624: void divr(VL,Obj,Obj,Obj *);
                   1625: void divreal(Num,Num,Real *);
                   1626: void divmi(MQ,MQ,MQ *);
                   1627: void divlm(LM,LM,LM *);
                   1628: void divsdcmp(VL,int,P,P,P *);
                   1629: void divsdcp(VL,P,P,P *);
                   1630: void divsmp(VL,int,P,P,P *);
                   1631: void divsn(N,N,N *);
                   1632: void divsp(VL,P,P,P *);
                   1633: void divsrdcmp(VL,int,P,P,P *,P *);
                   1634: void divsrdcp(VL,P,P,P *,P *);
                   1635: void divsrmp(VL,int,P,P,P *,P *);
                   1636: void divsrp(VL,P,P,P *,P *);
                   1637: void divvect(VL,Obj,Obj,Obj *);
1.19      noro     1638: void divquote(VL,QUOTE,QUOTE,QUOTE *);
1.1       noro     1639: void dtest(P,ML,int,DCP *);
                   1640: void dtestroot(int,int,P,LUM,struct oDUM *,DCP *);
                   1641: void dtestroot1(int,int,P,LUM,P *);
                   1642: void dtestsq(int,int,P,LUM,P *);
                   1643: void dtestsql(P,ML,struct oDUM *,DCP *);
1.41      ohara    1644: void ediffp(VL,P,V,P *);
1.1       noro     1645: void estimatelc(VL,Q,DCP,VN,P *);
                   1646: void eucum(register int,UM,UM,UM,UM);
                   1647: void exthp(VL,P,int,P *);
                   1648: void exthpc(VL,V,P,int,P *);
                   1649: void ezgcd1p(VL,P,P,P *);
                   1650: void ezgcdhensel(P,int,UM,UM,ML *);
                   1651: void ezgcdnp(VL,P,P *,int,P *);
                   1652: void ezgcdnpp(VL,DCP,P *,int,P *);
                   1653: void ezgcdnpz(VL,P *,int,P *);
                   1654: void ezgcdp(VL,P,P,P *);
                   1655: void ezgcdpp(VL,DCP,P,P *);
                   1656: void ezgcdpz(VL,P,P,P *);
                   1657: void factorial(int,Q *);
                   1658: void fctrp(VL,P,DCP *);
                   1659: void fctrwithmvp(VL,P,V,DCP *);
                   1660: void gcda(VL,P,P,P,P *);
                   1661: void gcdcp(VL,P,P *);
                   1662: void gcdgen(P,ML,ML *);
                   1663: void gcdmonomial(VL,DCP *,int,P *);
                   1664: void gcdn(N,N,N *);
                   1665: void gcdprsp(VL,P,P,P *);
                   1666: void gcdum(register int,UM,UM,UM);
                   1667: void getmindeg(V,P,Q *);
                   1668: void henmain(LUM,ML,ML,ML *);
                   1669: void henmv(VL,VN,P,P,P,P,P,P,P,P,P,Q,int,P *,P *);
                   1670: void henmvmain(VL,VN,P,P,P,P,P,P,P,Q,Q,int,P *,P *);
                   1671: void henprep(P,ML,ML,ML *,ML *);
                   1672: void hensel(int,int,P,ML *);
                   1673: void henzq(P,P,UM,P,UM,int,int,P *,P *,P *,P *,Q *);
                   1674: void henzq1(P,P,Q,P *,P *,Q *);
                   1675: void hsq(int,int,P,int *,DCP *);
                   1676: void intersectv(VL,VL,VL *);
                   1677: void invl(Q,Q,Q *);
                   1678: void invmq(int,MQ,MQ *);
                   1679: void invq(Q,Q *);
                   1680: void lgp(P,N *,N *);
                   1681: void lumtop(V,int,int,LUM,P *);
                   1682: void markv(VN,int,P);
                   1683: void maxdegp(VL,P,VL *,P *);
                   1684: void mergev(VL,VL,VL,VL *);
                   1685: void mfctr(VL,P,DCP *);
                   1686: void mfctrhen2(VL,VN,P,P,P,P,P,P,P *);
                   1687: void mfctrmain(VL,P,DCP *);
                   1688: void mfctrwithmv(VL,P,V,DCP *);
                   1689: void min_common_vars_in_coefp(VL,P,VL *,P *);
                   1690: void minchdegp(VL,P,VL *,P *);
                   1691: void mindegp(VL,P,VL *,P *);
                   1692: void mini(register int,UM,UM);
                   1693: void minlcdegp(VL,P,VL *,P *);
                   1694: void mkbc(int,Q *);
                   1695: void mkbcm(int,int,MQ *);
                   1696: void mkssum(V,int,int,int,P *);
                   1697: void monomialfctr(VL,P,P *,DCP *);
                   1698: void mptop(P,P *);
                   1699: void mptoum(P,UM);
                   1700: void msqfr(VL,P,DCP *);
                   1701: void msqfrmain(VL,P,DCP *);
                   1702: void msqfrmainmain(VL,P,VN,P,DCP,DCP *,P *);
                   1703: void mulalg(Num,Num,Num *);
                   1704: void mulbf(Num,Num,Num *);
                   1705: void mulcplx(Num,Num,Num *);
                   1706: void mulin(N,unsigned int,unsigned int *);
                   1707: void mullum(int,int,LUM,LUM,LUM);
                   1708: void mullumarray(P,ML,int,int *,P *);
                   1709: void mulm2p(VL,Q,Q,P,P,P *);
                   1710: void mulm2q(Q,Q,Q,Q,Q *);
                   1711: void mulmat(VL,Obj,Obj,Obj *);
                   1712: void mulmatmat(VL,MAT,MAT,MAT *);
                   1713: void mulmatvect(VL,MAT,VECT,VECT *);
                   1714: void mulmp(VL,int,P,P,P *);
                   1715: void mulmpc(VL,int,P,P,P *);
                   1716: void mulmpq(int,P,P,P *);
                   1717: void mulmq(int,MQ,MQ,MQ *);
                   1718: void muln(N,N,N *);
                   1719: void mulnum(VL,Num,Num,Num *);
                   1720: void mulp(VL,P,P,P *);
                   1721: void mulpadic(int,int,unsigned int *,unsigned int *,unsigned int *);
                   1722: void mulpc(VL,P,P,P *);
                   1723: void mulpq(P,P,P *);
                   1724: void mulq(Q,Q,Q *);
                   1725: void mulr(VL,Obj,Obj,Obj *);
                   1726: void mulreal(Num,Num,Real *);
                   1727: void mulmi(MQ,MQ,MQ *);
                   1728: void mullm(LM,LM,LM *);
                   1729: void mulrmat(VL,Obj,MAT,MAT *);
                   1730: void mulrvect(VL,Obj,VECT,VECT *);
                   1731: void mulsgn(VN,VN,int,VN);
                   1732: void mulsum(register int,UM,register int,UM);
                   1733: void mulum(register int,UM,UM,UM);
                   1734: void mulvect(VL,Obj,Obj,Obj *);
1.19      noro     1735: void mulquote(VL,QUOTE,QUOTE,QUOTE *);
1.1       noro     1736: void mulvectmat(VL,VECT,MAT,VECT *);
                   1737: void next(VN);
                   1738: void nezgcdnp_sqfr_primitive(VL,P,P *,int,P *);
                   1739: void nezgcdnpp(VL,DCP,P *,int,P *);
                   1740: void nezgcdnpz(VL,P *,int,P *);
                   1741: void nezgcdnpzmain(VL,P *,int,P *);
                   1742: void nglob_init(void);
                   1743: void norm(P,Q *);
                   1744: void norm1(P,P *);
                   1745: void norm1c(P,Q *);
                   1746: void normalizemp(int,P);
                   1747: void nthrootchk(P,struct oDUM *,ML,DCP *);
                   1748: void nthrootn(N,int,N *);
                   1749: void ntobn(register int,N,N *);
                   1750: void nuezgcdnpzmain(VL,P *,int,P *);
                   1751: void padictoq(int,int,int *,Q *);
                   1752: void risa_pari_init(void);
                   1753: void pcp(VL,P,P *,P *);
                   1754: void pderivr(VL,Obj,V,Obj *);
                   1755: void pdiva(VL,P,P,P,P *);
                   1756: void pinva(P,P,P *);
                   1757: void plisttop(P *,V,int,P *);
                   1758: void pmonic(VL,P,P,P *);
                   1759: void pqra(VL,P,P,P,P *,P *);
                   1760: void premmp(VL,int,P,P,P *);
                   1761: void premp(VL,P,P,P *);
                   1762: void ptolum(int,int,P,LUM);
                   1763: void ptomp(int,P,P *);
                   1764: void ptoum(int,P,UM);
                   1765: void ptozp(P,int,Q *,P *);
                   1766: void ptozp0(P,P *);
                   1767: void pwralg(Num,Num,Num *);
                   1768: void pwrbf(Num,Num,Num *);
                   1769: void pwrcplx(Num,Num,Num *);
                   1770: void pwrcplx0(Num,int,Num *);
                   1771: void pwrlum(int,int,LUM,int,LUM);
                   1772: void pwrmat(VL,MAT,Obj,MAT *);
                   1773: void pwrmatmain(VL,MAT,int,MAT *);
                   1774: void pwrmp(VL,int,P,Q,P *);
                   1775: void pwrmq(int,MQ,Q,MQ *);
                   1776: void pwrn(N,int,N *);
                   1777: void pwrnum(VL,Num,Num,Num *);
                   1778: void pwrp(VL,P,Q,P *);
                   1779: void pwrq(Q,Q,Q *);
                   1780: void pwrr(VL,Obj,Obj,Obj *);
1.19      noro     1781: void pwrquote(VL,QUOTE,QUOTE,QUOTE *);
1.1       noro     1782: void pwrreal(Num,Num,Real *);
                   1783: void pwrmi(MQ,Q,MQ *);
                   1784: void pwrlm(LM,Q,LM *);
                   1785: void pwrum(int,UM,int,UM);
1.99      noro     1786: void asir_reallocarray(char **,int *,int *,int);
1.1       noro     1787: void reductr(VL,Obj,Obj *);
                   1788: void reimtocplx(Num,Num,Num *);
                   1789: void rem2q(Q,Q,Q,Q *);
                   1790: void rema(VL,P,P,P,P *);
                   1791: void remq(Q,Q,Q *);
                   1792: void remsdcp(VL,P,P,P *);
                   1793: void reordermp(VL,int,VL,P,P *);
                   1794: void reorderp(VL,VL,P,P *);
                   1795: void reordvar(VL,V,VL *);
                   1796: void res_ch_det(VL,V,P,P,P *);
                   1797: void res_detmp(VL,int,V,P,P,P *);
                   1798: void restore(VL,P,VN,P *);
                   1799: void resultmp(VL,int,V,P,P,P *);
                   1800: void resultp(VL,V,P,P,P *);
                   1801: void setlum(int,int,LUM);
                   1802: void sort_by_deg(int,P *,P *);
                   1803: void sort_by_deg_rev(int,P *,P *);
                   1804: void sortfs(DCP *);
                   1805: void sortfsrev(DCP *);
                   1806: void sortplist(P *,int);
                   1807: void sortplistbyhomdeg(P *,int);
                   1808: void sprs(VL,V,P,P,P *);
                   1809: void sqa(VL,P,P,DCP *);
                   1810: void sqad(unsigned int,int);
                   1811: void sqfrp(VL,P,DCP *);
                   1812: void sqfrum(int,int,P,int *,struct oDUM **,ML *);
                   1813: void sqfrummain(int,UM,UM,struct oDUM **);
                   1814: void sqrtn(N,N *);
                   1815: void srch2(VL,V,P,P,P *);
                   1816: void srchmp(VL,int,V,P,P,P *);
                   1817: void srchump(int,P,P,P *);
                   1818: void srcr(VL,V,P,P,P *);
                   1819: void strtobf(char *,BF *);
                   1820: void subalg(Num,Num,Num *);
                   1821: void subbf(Num,Num,Num *);
                   1822: void subcplx(Num,Num,Num *);
                   1823: void subm2p(VL,Q,Q,P,P,P *);
                   1824: void subm2q(Q,Q,Q,Q,Q *);
                   1825: void submat(VL,MAT,MAT,MAT *);
                   1826: void submp(VL,int,P,P,P *);
                   1827: void submq(int,MQ,MQ,MQ *);
                   1828: void subnum(VL,Num,Num,Num *);
                   1829: void subp(VL,P,P,P *);
                   1830: void subq(Q,Q,Q *);
                   1831: void subr(VL,Obj,Obj,Obj *);
                   1832: void subreal(Num,Num,Real *);
                   1833: void submi(MQ,MQ,MQ *);
                   1834: void sublm(LM,LM,LM *);
                   1835: void substmp(VL,int,P,V,P,P *);
                   1836: void substp(VL,P,V,P,P *);
                   1837: void substvp(VL,P,VN,P *);
                   1838: void subum(int,UM,UM,UM);
                   1839: void subvect(VL,VECT,VECT,VECT *);
1.19      noro     1840: void subquote(VL,QUOTE,QUOTE,QUOTE *);
1.1       noro     1841: void toreim(Num,Num *,Num *);
                   1842: void ucsump(P,Q *);
                   1843: void udivpwm(Q,P,P,P *,P *);
                   1844: void udivpz(P,P,P *,P *);
                   1845: void udivpzwm(Q,P,P,P *,P *);
                   1846: void uexgcdnp(VL,P,P *,int,VN,Q,P *,P *,P *,P *,Q *);
                   1847: void uezgcd1p(P,P,P *);
                   1848: void uezgcdpp(DCP,P,P *);
                   1849: void uezgcdpz(VL,P,P,P *);
                   1850: void ufctr(P,int,DCP *);
                   1851: void ufctrmain(P,int,DCP *);
                   1852: void umtomp(V,UM,P *);
                   1853: void umtop(V,UM,P *);
                   1854: void usqp(P,DCP *);
                   1855: void vntovl(VN,int,VL *);
1.29      noro     1856:
                   1857: void saveerror(FILE *,ERR);
                   1858: void saveui(FILE *,USINT);
                   1859: void savedp(FILE *,DP);
                   1860: void savestring(FILE *,STRING);
                   1861: void savemat(FILE *,MAT);
                   1862: void savevect(FILE *,VECT);
                   1863: void savelist(FILE *,LIST);
                   1864: void saver(FILE *,R);
                   1865: void savep(FILE *,P);
                   1866: void savegf2n(FILE *,GF2N);
                   1867: void savegfpn(FILE *,GFPN);
                   1868: void savegfs(FILE *,GFS);
1.54      noro     1869: void savedalg(FILE *,DAlg);
1.29      noro     1870: void savelm(FILE *,LM);
                   1871: void savemi(FILE *,MQ);
                   1872: void savecplx(FILE *,C);
                   1873: void savebf(FILE *,BF);
                   1874: void savereal(FILE *,Real);
                   1875: void saveq(FILE *,Q);
                   1876: void savenum(FILE *,Num);
                   1877: void savepfins(FILE *,V);
                   1878: void savegfmmat(FILE *,GFMMAT);
                   1879: void savebytearray(FILE *,BYTEARRAY);
                   1880: void savegfsn(FILE *,GFSN);
                   1881:
                   1882: void loaderror(FILE *,ERR *);
                   1883: void loadui(FILE *,USINT *);
                   1884: void loaddp(FILE *,DP *);
                   1885: void loadstring(FILE *,STRING *);
                   1886: void loadmat(FILE *,MAT *);
                   1887: void loadvect(FILE *,VECT *);
                   1888: void loadlist(FILE *,LIST *);
                   1889: void loadr(FILE *,R *);
                   1890: void loadp(FILE *,P *);
                   1891: void loadgf2n(FILE *,GF2N *);
                   1892: void loadgfpn(FILE *,GFPN *);
                   1893: void loadgfs(FILE *,GFS *);
                   1894: void loadgfsn(FILE *,GFSN *);
1.54      noro     1895: void loaddalg(FILE *,DAlg *);
1.29      noro     1896: void loadlm(FILE *,LM *);
                   1897: void loadmi(FILE *,MQ *);
                   1898: void loadcplx(FILE *,C *);
                   1899: void loadbf(FILE *,BF *);
                   1900: void loadreal(FILE *,Real *);
                   1901: void loadq(FILE *,Q *);
                   1902: void loadnum(FILE *,Num *);
                   1903: void loadgfmmat(FILE *,GFMMAT *);
                   1904: void loadbytearray(FILE *,BYTEARRAY *);
                   1905: V loadpfins(FILE *);
                   1906: void eucum2(int mod,UM f1,UM f2,UM a,UM b);
                   1907: void clearum(UM p,int n);
                   1908: BM BMALLOC(int dx,int dy);
                   1909: int isequalum(UM f1,UM f2);
                   1910: void dec_um(int p,int a,UM u);
                   1911: void setmod_sf(int p,int n);
                   1912: int search_defpoly_and_primitive_root(int p,int n,UM dp);
                   1913: void generate_defpoly_um(int p,int n,UM dp);
                   1914: int generate_primitive_root_enc(int p,int n,UM dp);
                   1915: int mulremum_enc(int p,int n,UM dp,int a,int b);
                   1916: void gfs_galois_action(GFS a,Q e,GFS *c);
                   1917: void gfs_embed(GFS z,int k,int pm,GFS *c);
                   1918: void qtogfs(Q a,GFS *c);
                   1919: void mqtogfs(MQ a,GFS *c);
                   1920: void gfstomq(GFS a,MQ *c);
                   1921: void ntogfs(Obj a,GFS *b);
                   1922: void addgfs(GFS a,GFS b,GFS *c);
                   1923: void subgfs(GFS a,GFS b,GFS *c);
                   1924: void mulgfs(GFS a,GFS b,GFS *c);
                   1925: void divgfs(GFS a,GFS b,GFS *c);
                   1926: void chsgngfs(GFS a,GFS *c);
                   1927: void pwrgfs(GFS a,Q b,GFS *c);
                   1928: int cmpgfs(GFS a,GFS b);
                   1929: void randomgfs(GFS *r);
                   1930: int _addsf(int a,int b);
                   1931: int _chsgnsf(int a);
                   1932: int _subsf(int a,int b);
                   1933: int _mulsf(int a,int b);
                   1934: int _invsf(int a);
                   1935: int _divsf(int a,int b);
                   1936: int _pwrsf(int a,int b);
                   1937: int _onesf();
                   1938: int _itosf(int n);
                   1939: int _isonesf(int a);
                   1940: int _randomsf();
                   1941: int field_order_sf();
                   1942: int characteristic_sf();
                   1943: int extdeg_sf();
                   1944: void addsfum(UM p1,UM p2,UM pr);
                   1945: void subsfum(UM p1,UM p2,UM pr);
                   1946: void gcdsfum(UM p1,UM p2,UM pr);
                   1947: void mulsfum(UM p1,UM p2,UM pr);
                   1948: void mulssfum(UM p,int n,UM pr);
                   1949: void kmulsfum(UM n1,UM n2,UM nr);
                   1950: void kmulsfummain(UM n1,UM n2,UM nr);
                   1951: int divsfum(UM p1,UM p2,UM pq);
                   1952: void diffsfum(UM f,UM fd);
                   1953: void monicsfum(UM f);
                   1954: int compsfum(UM a,UM b);
                   1955: void mulsfbm(BM f1,BM f2,BM fr);
                   1956: int degbm(BM f);
                   1957: void addtosfbm(BM f,BM g);
                   1958: void eucsfum(UM f1,UM f2,UM a,UM b);
                   1959: void shiftsfum(UM f,int a,UM g);
                   1960: void shiftsflum(int n,LUM f,int ev);
                   1961: void shiftsfbm(BM f,int a);
                   1962: void clearbm(int n,BM f);
                   1963:
                   1964: void ksquareum(int mod,UM n1,UM nr);
                   1965: void extractum(UM n,int index,int len,UM nr);
                   1966: void copyum(UM n1,UM n2);
                   1967: void c_copyum(UM n,int len,int *p);
                   1968: void kmulummain(int mod,UM n1,UM n2,UM nr);
                   1969: void ksquareummain(int mod,UM n1,UM nr);
                   1970:
                   1971: void simp_ff(Obj p,Obj *rp);
                   1972: void field_order_ff(N *order);
                   1973:
                   1974: void random_lm(LM *r);
                   1975: void ntosparsen(N p,N *bits);
                   1976: void setmod_lm(N p);
                   1977: void getmod_lm(N *p);
                   1978: void simplm(LM n,LM *r);
                   1979: void qtolm(Q q,LM *l);
                   1980: void addlm(LM a,LM b,LM *c);
                   1981: void sublm(LM a,LM b,LM *c);
                   1982: void mullm(LM a,LM b,LM *c);
                   1983: void divlm(LM a,LM b,LM *c);
                   1984: void chsgnlm(LM a,LM *c);
                   1985: void pwrlm(LM a,Q b,LM *c);
                   1986: void pwrlm0(N a,N n,N *c);
                   1987: int cmplm(LM a,LM b);
                   1988: void remn_special(N,N,int,unsigned int ,N *);;
                   1989: void gen_simpn(N a,N *b);
                   1990: void gen_simpn_force(N a,N *b);
                   1991: void setmod_gfpn(P p);
                   1992: void getmod_gfpn(UP *up);
                   1993: void ptogfpn(Obj q,GFPN *l);
                   1994: void gfpntop(GFPN q,P *l);
                   1995: void simpgfpn(GFPN n,GFPN *r);
                   1996: void ntogfpn(Obj a,GFPN *b);
                   1997: void addgfpn(GFPN a,GFPN b,GFPN *c);
                   1998: void subgfpn(GFPN a,GFPN b,GFPN *c);
                   1999: void mulgfpn(GFPN a,GFPN b,GFPN *c);
                   2000: void squaregfpn(GFPN a,GFPN *c);
                   2001: void divgfpn(GFPN a,GFPN b,GFPN *c);
                   2002: void invgfpn(GFPN b,GFPN *c);
                   2003: void chsgngfpn(GFPN a,GFPN *c);
                   2004: void pwrgfpn(GFPN a,Q b,GFPN *c);
                   2005: int cmpgfpn(GFPN a,GFPN b);
                   2006: void randomgfpn(GFPN *r);
                   2007: void setmod_gfsn(UM p);
                   2008: void getmod_gfsn(UM *up);
                   2009: void simpgfsn(GFSN n,GFSN *r);
                   2010: void ntogfsn(Obj a,GFSN *b);
                   2011: void addgfsn(GFSN a,GFSN b,GFSN *c);
                   2012: void subgfsn(GFSN a,GFSN b,GFSN *c);
                   2013: void mulgfsn(GFSN a,GFSN b,GFSN *c);
                   2014: void divgfsn(GFSN a,GFSN b,GFSN *c);
                   2015: void invgfsn(GFSN b,GFSN *c);
                   2016: void chsgngfsn(GFSN a,GFSN *c);
                   2017: void pwrgfsn(GFSN a,Q b,GFSN *c);
                   2018: int cmpgfsn(GFSN a,GFSN b);
                   2019: void randomgfsn(GFSN *r);
                   2020: void setmod_gf2n(P p);
                   2021: void getmod_gf2n(UP2 *p);
                   2022: void simpgf2n(GF2N n,GF2N *r);
                   2023: void ptogf2n(Obj q,GF2N *l);
                   2024: void gf2ntop(GF2N q,P *l);
                   2025: void gf2ntovect(GF2N q,VECT *l);
                   2026: void addgf2n(GF2N a,GF2N b,GF2N *c);
                   2027: void subgf2n(GF2N a,GF2N b,GF2N *c);
                   2028: void mulgf2n(GF2N a,GF2N b,GF2N *c);
                   2029: void squaregf2n(GF2N a,GF2N *c);
                   2030: void divgf2n(GF2N a,GF2N b,GF2N *c);
                   2031: void invgf2n(GF2N b,GF2N *c);
                   2032: void chsgngf2n(GF2N a,GF2N *c);
                   2033: void pwrgf2n(GF2N a,Q b,GF2N *c);
                   2034: int cmpgf2n(GF2N a,GF2N b);
                   2035: void randomgf2n(GF2N *r);
                   2036: void binaryton(char *binary,N *np);
                   2037: void hexton(char *hex,N *np);
                   2038: void ntobn(int base,N n,N *nrp);
                   2039: void bnton(int base,N n,N *nrp);
                   2040: void ptomp(int m,P p,P *pr);
                   2041: void mptop(P f,P *gp);
                   2042: void ptosfp(P p,P *pr);
                   2043: void sfptop(P f,P *gp);
                   2044: void sf_galois_action(P p,Q e,P *pr);
                   2045: void sf_embed(P p,int k,int pm,P *pr);
                   2046: void ptolmp(P p,P *pr);
                   2047: void lmptop(P f,P *gp);
                   2048: void ptoum(int m,P f,UM wf);
                   2049: void umtop(V v,UM w,P *f);
                   2050: void ptosfum(P f,UM wf);
                   2051: void sfumtop(V v,UM w,P *f);
                   2052: void ptoup(P n,UP *nr);
                   2053: void uptop(UP n,P *nr);
                   2054: void ulmptoum(int m,UP f,UM wf);
                   2055: void objtobobj(int base,Obj p,Obj *rp);
                   2056: void bobjtoobj(int base,Obj p,Obj *rp);
                   2057: void numtobnum(int base,Num p,Num *rp);
                   2058: void bnumtonum(int base,Num p,Num *rp);
                   2059: void ptobp(int base,P p,P *rp);
                   2060: void bptop(int base,P p,P *rp);
                   2061: void listtoblist(int base,LIST p,LIST *rp);
                   2062: void blisttolist(int base,LIST p,LIST *rp);
                   2063: void vecttobvect(int base,VECT p,VECT *rp);
                   2064: void bvecttovect(int base,VECT p,VECT *rp);
                   2065: void mattobmat(int base,MAT p,MAT *rp);
                   2066: void bmattomat(int base,MAT p,MAT *rp);
                   2067: void n32ton27(N g,N *rp);
                   2068: void n27ton32(N a,N *rp);
                   2069: void mptoum(P p,UM pr);
                   2070: void umtomp(V v,UM p,P *pr);
                   2071: void enc_to_p(int p,int a,V v,P *pr);
                   2072: int comp_dum(DUM a,DUM b);
                   2073: void fctrsf(P p,DCP *dcp);
                   2074: void gensqfrsfum(UM p,struct oDUM *dc);
                   2075: void randsfum(int d,UM p);
                   2076: void pwrmodsfum(UM p,int e,UM f,UM pr);
                   2077: void spwrsfum(UM m,UM f,N e,UM r);
                   2078: void tracemodsfum(UM m,UM f,int e,UM r);
                   2079: void make_qmatsf(UM p,UM *tab,int ***mp);
                   2080: void nullsf(int **mat,int n,int *ind);
                   2081: void null_to_solsf(int **mat,int *ind,int n,UM *r);
                   2082: void czsfum(UM f,UM *r);
                   2083: int berlekampsf(UM p,int df,UM *tab,UM *r);
                   2084: void minipolysf(UM f,UM p,UM mp);
                   2085: int find_rootsf(UM p,int *root);
                   2086: void canzassf(UM f,int d,UM *r);
1.34      noro     2087: void sfhensel(int count,P f,V x,V y,int degbound,GFS *evp,P *sfp,ML *listp);
                   2088: int sfberle(V x,V y,P f,int count,GFS *ev,DCP *dcp);
1.29      noro     2089: void sfgcdgen(P f,ML blist,ML *clistp);
                   2090: void sfhenmain2(BM f,UM g0,UM h0,int dy,BM *gp);
                   2091: void ptosfbm(int dy,P f,BM fl);
                   2092: void sfbmtop(BM f,V x,V y,P *fp);
                   2093: void sfsqfr(P f,DCP *dcp);
                   2094: void sfusqfr(P f,DCP *dcp);
                   2095: void sfbsqfr(P f,V x,V y,DCP *dcp);
1.30      noro     2096: void sfbfctr(P f,V x,V y,int degbound,DCP *dcp);
1.29      noro     2097: void sfdtest(P f,ML list,V x,V y,DCP *dcp);
                   2098: int sfdtestmain(VL vl,P lcg,UM lcg0,BM lcy,P csum,ML list,
                   2099:        int k,int *in,P *fp,P *cofp);
                   2100: void const_term(P f,UM c);
                   2101: void const_term_sfbm(BM f,UM c);
                   2102: int sfctest(UM lcg0,BM lcy,ML list,int k,int *in);
                   2103: void mulsfbmarray(int dx,BM lcy,ML list,int k,int *in,V x,V y,P *g);
                   2104: void sfcsump(VL vl,P f,P *s);
                   2105: void cont_pp_sfp(VL vl,P f,P *cp,P *fp);
                   2106: int divtp_by_sfbm(VL vl,P f,P g,P *qp);
                   2107: void generate_defpoly_sfum(int n,UM *dp);
                   2108: NODE symb_merge(NODE,NODE,int);
                   2109: void _free_private_storage();
                   2110: void _DL_alloc();
                   2111: void _MP_alloc();
                   2112: void _DP_alloc();
                   2113: void _addmd_destructive(int mod,DP p1,DP p2,DP *pr);
                   2114: void _mulmd_dup(int mod,DP p1,DP p2,DP *pr);
                   2115: void _comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
                   2116: void _weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
                   2117: void _mulmdm_dup(int mod,DP p,MP m0,DP *pr);
                   2118: void _weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr);
                   2119: void _weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen);
                   2120: void _comm_mulmd_tab(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1,struct cdlm *rt);
                   2121: void _comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1);
                   2122: void dlto_dl(DL d,DL *dr);
                   2123: void _dltodl(DL d,DL *dr);
                   2124: void _adddl_dup(int n,DL d1,DL d2,DL *dr);
                   2125: void _free_dlarray(DL *a,int n);
                   2126: void _free_dp(DP f);
                   2127: void dpto_dp(DP p,DP *r);
                   2128: void _dptodp(DP p,DP *r);
                   2129: NODE _symb_merge(NODE m1,NODE m2,int n);
                   2130: void _addd_destructive(VL vl,DP p1,DP p2,DP *pr);
                   2131: void _muld_dup(VL vl,DP p1,DP p2,DP *pr);
                   2132: void _comm_muld_dup(VL vl,DP p1,DP p2,DP *pr);
                   2133: void _weyl_muld_dup(VL vl,DP p1,DP p2,DP *pr);
                   2134: void _muldm_dup(VL vl,DP p,MP m0,DP *pr);
                   2135: void _weyl_muldm_dup(VL vl,MP m0,DP p,DP *pr);
                   2136: void _weyl_mulmm_dup(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen);
                   2137: void _comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt);
                   2138: void _comm_muld_tab_destructive(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1);
                   2139:
                   2140: int has_fcoef(DP f);
                   2141: int has_fcoef_p(P f);
                   2142: void initd(struct order_spec *spec);
                   2143: void ptod(VL vl,VL dvl,P p,DP *pr);
1.102   ! noro     2144: void dtop(VL vl,VL dvl,DP p,Obj *pr);
1.29      noro     2145: void nodetod(NODE node,DP *dp);
                   2146: int sugard(MP m);
                   2147: void addd(VL vl,DP p1,DP p2,DP *pr);
                   2148: void symb_addd(DP p1,DP p2,DP *pr);
                   2149: NODE symb_merge(NODE m1,NODE m2,int n);
                   2150: DLBUCKET symb_merge_bucket(DLBUCKET m1,DLBUCKET m2,int n);
                   2151: void subd(VL vl,DP p1,DP p2,DP *pr);
                   2152: void chsgnd(DP p,DP *pr);
                   2153: void muld(VL vl,DP p1,DP p2,DP *pr);
                   2154: void comm_muld(VL vl,DP p1,DP p2,DP *pr);
                   2155: void muldm(VL vl,DP p,MP m0,DP *pr);
                   2156: void weyl_muld(VL vl,DP p1,DP p2,DP *pr);
                   2157: void weyl_muldm(VL vl,MP m0,DP p,DP *pr);
                   2158: void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen);
                   2159: void comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt);
1.102   ! noro     2160: void muldc(VL vl,DP p,Obj c,DP *pr);
1.29      noro     2161: void divsdc(VL vl,DP p,P c,DP *pr);
1.102   ! noro     2162: void divdc(VL vl,DP p,Obj c,DP *pr);
1.29      noro     2163: void adddl(int n,DL d1,DL d2,DL *dr);
                   2164: void adddl_destructive(int n,DL d1,DL d2);
                   2165: int compd(VL vl,DP p1,DP p2);
                   2166: int cmpdl_lex(int n,DL d1,DL d2);
                   2167: int cmpdl_revlex(int n,DL d1,DL d2);
                   2168: int cmpdl_gradlex(int n,DL d1,DL d2);
                   2169: int cmpdl_revgradlex(int n,DL d1,DL d2);
                   2170: int cmpdl_blex(int n,DL d1,DL d2);
                   2171: int cmpdl_bgradlex(int n,DL d1,DL d2);
                   2172: int cmpdl_brevgradlex(int n,DL d1,DL d2);
                   2173: int cmpdl_brevrev(int n,DL d1,DL d2);
                   2174: int cmpdl_bgradrev(int n,DL d1,DL d2);
                   2175: int cmpdl_blexrev(int n,DL d1,DL d2);
                   2176: int cmpdl_elim(int n,DL d1,DL d2);
                   2177: int cmpdl_weyl_elim(int n,DL d1,DL d2);
                   2178: int cmpdl_homo_ww_drl(int n,DL d1,DL d2);
                   2179: int cmpdl_order_pair(int n,DL d1,DL d2);
                   2180: int cmpdl_matrix(int n,DL d1,DL d2);
                   2181: void ptomd(VL vl,int mod,VL dvl,P p,DP *pr);
                   2182: void mptomd(VL vl,int mod,VL dvl,P p,DP *pr);
                   2183: void mdtop(VL vl,int mod,VL dvl,DP p,P *pr);
                   2184: void addmd(VL vl,int mod,DP p1,DP p2,DP *pr);
                   2185: void submd(VL vl,int mod,DP p1,DP p2,DP *pr);
                   2186: void chsgnmd(int mod,DP p,DP *pr);
                   2187: void mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
                   2188: void comm_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
                   2189: void weyl_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
                   2190: void mulmdm(VL vl,int mod,DP p,MP m0,DP *pr);
                   2191: void weyl_mulmdm(VL vl,int mod,DP p,MP m0,DP *pr);
                   2192: void weyl_mulmmm(VL vl,int mod,MP m0,MP m1,int n,DP *pr);
                   2193: void mulmdc(VL vl,int mod,DP p,P c,DP *pr);
                   2194: void divsmdc(VL vl,int mod,DP p,P c,DP *pr);
                   2195: void _dtop_mod(VL vl,VL dvl,DP p,P *pr);
                   2196: void _dp_mod(DP p,int mod,NODE subst,DP *rp);
                   2197: void _dp_monic(DP p,int mod,DP *rp);
                   2198: void _printdp(DP d);
                   2199: void addmd_destructive(int mod,DP p1,DP p2,DP *pr);
                   2200: void mulmd_dup(int mod,DP p1,DP p2,DP *pr);
                   2201: void comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
                   2202: void weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
                   2203: void mulmdm_dup(int mod,DP p,MP m0,DP *pr);
                   2204: void weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr);
                   2205: void weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen);
                   2206: void comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1);
                   2207: void adddl_dup(int n,DL d1,DL d2,DL *dr);
                   2208: void monicup(UP a,UP *b);
                   2209: void simpup(UP a,UP *b);
                   2210: void simpnum(Num a,Num *b);
                   2211: void uremp(P p1,P p2,P *rp);
                   2212: void ugcdp(P p1,P p2,P *rp);
                   2213: void reversep(P p1,Q d,P *rp);
                   2214: void invmodp(P p1,Q d,P *rp);
                   2215: void addup(UP n1,UP n2,UP *nr);
                   2216: void subup(UP n1,UP n2,UP *nr);
                   2217: void chsgnup(UP n1,UP *nr);
                   2218: void hybrid_mulup(int ff,UP n1,UP n2,UP *nr);
                   2219: void hybrid_squareup(int ff,UP n1,UP *nr);
                   2220: void hybrid_tmulup(int ff,UP n1,UP n2,int d,UP *nr);
                   2221: void mulup(UP n1,UP n2,UP *nr);
                   2222: void mulcup(Num c,UP n1,UP *nr);
                   2223: void tmulup(UP n1,UP n2,int d,UP *nr);
                   2224: void squareup(UP n1,UP *nr);
                   2225: void remup(UP n1,UP n2,UP *nr);
                   2226: void remup_destructive(UP n1,UP n2);
                   2227: void qrup(UP n1,UP n2,UP *nq,UP *nr);
                   2228: void qrup_destructive(UP n1,UP n2);
                   2229: void gcdup(UP n1,UP n2,UP *nr);
                   2230: void extended_gcdup(UP a,UP m,UP *r);
                   2231: void reverseup(UP n1,int d,UP *nr);
                   2232: void invmodup(UP n1,int d,UP *nr);
                   2233: void pwrup(UP n,Q e,UP *nr);
                   2234: int compup(UP n1,UP n2);
                   2235: void kmulp(VL vl,P n1,P n2,P *nr);
                   2236: void ksquarep(VL vl,P n1,P *nr);
                   2237: void kmulup(UP n1,UP n2,UP *nr);
                   2238: void ksquareup(UP n1,UP *nr);
                   2239: void copyup(UP n1,UP n2);
                   2240: void c_copyup(UP n,int len,pointer *p);
                   2241: void kmulupmain(UP n1,UP n2,UP *nr);
                   2242: void ksquareupmain(UP n1,UP *nr);
                   2243: void rembymulup(UP n1,UP n2,UP *nr);
                   2244: void hybrid_rembymulup_special(int ff,UP n1,UP n2,UP inv2,UP *nr);
                   2245: void rembymulup_special(UP n1,UP n2,UP inv2,UP *nr);
                   2246: void tkmulup(UP n1,UP n2,int d,UP *nr);
                   2247: void shiftup(UP n,int d,UP *nr);
                   2248: void fft_rembymulup_special(UP n1,UP n2,UP inv2,UP *nr);
                   2249: void set_degreeup(UP n,int d);
                   2250: void decompup(UP n,int d,UP *n0,UP *n1);
                   2251: void truncup(UP n1,int d,UP *nr);
                   2252: int int_bits(int t);
                   2253: int maxblenup(UP n);
                   2254: void uptofmarray(int mod,UP n,ModNum *f);
                   2255: void fmarraytoup(ModNum *f,int d,UP *nr);
                   2256: void uiarraytoup(unsigned int **f,int n,int d,UP *nr);
                   2257: void adj_coefup(UP n,N m,N m2,UP *nr);
                   2258: void remcup(UP n,N mod,UP *nr);
                   2259: void fft_mulup(UP n1,UP n2,UP *nr);
                   2260: void trunc_fft_mulup(UP n1,UP n2,int dbd,UP *nr);
                   2261: void fft_squareup(UP n1,UP *nr);
                   2262: void fft_mulup_main(UP n1,UP n2,int dbd,UP *nr);
                   2263: void crup(ModNum **f,int d,int *mod,int index,N m,UP *r);
                   2264: void fft_mulup_specialmod_main(UP n1,UP n2,int dbd,int *modind,int nmod,UP *nr);
                   2265: void divn(N n1,N n2,N *nq,N *nr);
                   2266: void divsn(N n1,N n2,N *nq);
                   2267: void remn(N n1,N n2,N *nr);
                   2268: void remn_special(N a,N d,int bits,unsigned int lower,N *b);
                   2269: void mulin(N n,unsigned int d,unsigned int *p);
                   2270: unsigned int divin(N n,unsigned int dvr,N *q);
                   2271: void bprintn(N n);
                   2272: void bxprintn(N n);
                   2273: void muln(N n1,N n2,N *nr);
                   2274: void _muln(N n1,N n2,N nr);
                   2275: void muln_1(unsigned int *p,int s,unsigned int d,unsigned int *r);
                   2276: void divnmain(int d1,int d2,unsigned int *m1,unsigned int *m2,unsigned int *q);
                   2277: void divnmain_special(int d1,int d2,unsigned int *m1,unsigned int *m2,unsigned int *q);
                   2278: unsigned int divn_1(unsigned int *p,int s,unsigned int d,unsigned int *r);
                   2279: void addn(N n1,N n2,N *nr);
                   2280: int subn(N n1,N n2,N *nr);
                   2281: void _addn(N n1,N n2,N nr);
                   2282: int _subn(N n1,N n2,N nr);
                   2283: void addarray_to(unsigned int *a1,int n1,unsigned int *a2,int n2);
                   2284: void pwrn(N n,int e,N *nr);
                   2285: void gcdn(N n1,N n2,N *nr);
                   2286: void gcdEuclidn(N n1,N n2,N *nr);
                   2287: int cmpn(N n1,N n2);
                   2288: void bshiftn(N n,int b,N *r);
                   2289: void shiftn(N n,int w,N *r);
                   2290: void randomn(int bits,N *r);
                   2291: void freen(N n);
                   2292: int n_bits(N n);
                   2293: void fft_mulup_lm(UP n1,UP n2,UP *nr);
                   2294: void fft_squareup_lm(UP n1,UP *nr);
                   2295: void trunc_fft_mulup_lm(UP n1,UP n2,int dbd,UP *nr);
                   2296: void crup_lm(ModNum **f,int d,int *mod,int index,N m,N lm_mod,UP *r);
                   2297: void fft_rembymulup_special_lm(UP n1,UP n2,UP inv2,UP *nr);
                   2298: void uptolmup(UP n,UP *nr);
                   2299: void save_up(UP obj,char *name);
                   2300: void hybrid_powermodup(UP f,UP *xp);
                   2301: void powermodup(UP f,UP *xp);
                   2302: void hybrid_generic_powermodup(UP g,UP f,Q d,UP *xp);
                   2303: void generic_powermodup(UP g,UP f,Q d,UP *xp);
                   2304: void hybrid_powertabup(UP f,UP xp,UP *tab);
                   2305: void powertabup(UP f,UP xp,UP *tab);
                   2306: void squarep_gf2n(VL vl,P n1,P *nr);
                   2307: void squareup_gf2n(UP n1,UP *nr);
                   2308: void powermodup_gf2n(UP f,UP *xp);
                   2309: void generic_powermodup_gf2n(UP g,UP f,Q d,UP *xp);
                   2310: void tracemodup_gf2n(UP g,UP f,Q d,UP *xp);
                   2311: void tracemodup_gf2n_slow(UP g,UP f,Q d,UP *xp);
                   2312: void tracemodup_gf2n_tab(UP g,UP f,Q d,UP *xp);
                   2313: void square_rem_tab_up_gf2n(UP f,UP *tab,UP *rp);
                   2314: void powertabup_gf2n(UP f,UP xp,UP *tab);
                   2315: void find_root_gf2n(UP f,GF2N *r);
                   2316: void ptoup2(P n,UP2 *nr);
                   2317: void ptoup2_sparse(P n,UP2 *nr);
                   2318: void up2top(UP2 n,P *nr);
                   2319: void up2tovect(UP2 n,VECT *nr);
                   2320: void up2ton(UP2 p,Q *n);
                   2321: void ntoup2(Q n,UP2 *p);
                   2322: void gen_simpup2(UP2 p,GEN_UP2 m,UP2 *r);
                   2323: void gen_simpup2_destructive(UP2 p,GEN_UP2 m);
                   2324: void gen_invup2(UP2 p,GEN_UP2 m,UP2 *r);
                   2325: void gen_pwrmodup2(UP2 a,Q b,GEN_UP2 m,UP2 *c);
                   2326: void simpup2(UP2 p,UP2 m,UP2 *r);
                   2327: int degup2(UP2 a);
                   2328: int degup2_sparse(UP2 a);
                   2329: int degup2_1(unsigned int a);
                   2330: void addup2(UP2 a,UP2 b,UP2 *c);
                   2331: void subup2(UP2 a,UP2 b,UP2 *c);
                   2332: void _mulup2_1(UP2 a,unsigned int b,UP2 c);
                   2333: void _mulup2_h(UP2 a,unsigned int b,UP2 c);
                   2334: void mulup2(UP2 a,UP2 b,UP2 *c);
                   2335: void _kmulup2_(unsigned int *a,unsigned int *b,int w,unsigned int *c);
                   2336: void _mulup2_nn(unsigned int *a,unsigned int *b,int w,unsigned int *c);
                   2337: void _mulup2(UP2 a,UP2 b,UP2 c);
                   2338: void _mulup2_(_UP2 a,_UP2 b,_UP2 c);
                   2339: void squareup2(UP2 n,UP2 *nr);
                   2340: void _squareup2(UP2 n,UP2 nr);
                   2341: void _adjup2(UP2 n);
                   2342: void _adjup2_(_UP2 n);
                   2343: void _addup2(UP2 a,UP2 b,UP2 c);
                   2344: void _addup2_destructive(UP2 a,UP2 b);
                   2345: void _addup2_(_UP2 a,_UP2 b,_UP2 c);
                   2346: void _addtoup2_(_UP2 a,_UP2 b);
                   2347: unsigned int mulup2_bb(unsigned int a,unsigned int b);
                   2348: void init_up2_tab();
                   2349: void divup2_1(unsigned int a1,unsigned int a2,int e1,int e2,unsigned int *qp,unsigned int *rp);
                   2350: void qrup2(UP2 a,UP2 b,UP2 *q,UP2 *r);
                   2351: void _qrup2(UP2 a,UP2 b,UP2 q,UP2 r);
                   2352: void remup2(UP2 a,UP2 b,UP2 *c);
                   2353: void _remup2(UP2 a,UP2 b,UP2 c);
                   2354: void remup2_sparse(UP2 a,UP2 b,UP2 *c);
                   2355: void remup2_sparse_destructive(UP2 a,UP2 b);
                   2356: void remup2_type1_destructive(UP2 a,int d);
                   2357: void remup2_3_destructive(UP2 a,UP2 b);
                   2358: void remup2_5_destructive(UP2 a,UP2 b);
                   2359: void _invup2_1(unsigned int f1,unsigned int f2,unsigned int *a1,unsigned int *b1);
                   2360: void _gcdup2_1(unsigned int f1,unsigned int f2,unsigned int *gcd);
                   2361: void up2_init_eg();
                   2362: void up2_show_eg();
                   2363: void invup2(UP2 a,UP2 m,UP2 *inv);
                   2364: void gcdup2(UP2 a,UP2 m,UP2 *gcd);
                   2365: void chsgnup2(UP2 a,UP2 *c);
                   2366: void pwrmodup2(UP2 a,Q b,UP2 m,UP2 *c);
                   2367: void pwrmodup2_sparse(UP2 a,Q b,UP2 m,UP2 *c);
                   2368: int compup2(UP2 n1,UP2 n2);
                   2369: void _copyup2(UP2 n,UP2 r);
                   2370: void _bshiftup2(UP2 n,int b,UP2 r);
                   2371: void _bshiftup2_destructive(UP2 n,int b);
                   2372: void diffup2(UP2 f,UP2 *r);
                   2373: int sqfrcheckup2(UP2 f);
                   2374: int irredcheckup2(UP2 f);
                   2375: int irredcheck_dddup2(UP2 f);
                   2376: void _copy_up2bits(UP2 p,unsigned int **mat,int pos);
                   2377: int compute_multiplication_matrix(P p0,GF2MAT *mp);
                   2378: void compute_change_of_basis_matrix(P p0,P p1,int to,GF2MAT *m01,GF2MAT *m10);
                   2379: void compute_change_of_basis_matrix_with_root(P p0,P p1,int to,GF2N root,GF2MAT *m01,GF2MAT *m10);
                   2380: int compute_representation_conversion_matrix(P p0,GF2MAT *np,GF2MAT *pn);
                   2381: void mul_nb(GF2MAT mat,unsigned int *a,unsigned int *b,unsigned int *c);
                   2382: void leftshift(unsigned int *a,int n);
                   2383: void mat_to_gf2mat(MAT a,unsigned int ***b);
                   2384: void gf2mat_to_mat(unsigned int **a,int n,MAT *b);
                   2385: void mulgf2mat(int n,unsigned int **a,unsigned int **b,unsigned int **c);
                   2386: void mulgf2vectmat(int n,unsigned int *a,unsigned int **b,unsigned int *c);
                   2387: int mulgf2vectvect(int n,unsigned int *a,unsigned int *b);
                   2388: int invgf2mat(int n,unsigned int **a,unsigned int **b);
                   2389: void _mulup2_22(unsigned int *a1,unsigned int *a2,unsigned int *ar);
                   2390: void _mulup2_33(unsigned int *a1,unsigned int *a2,unsigned int *ar);
                   2391: void _mulup2_44(unsigned int *a1,unsigned int *a2,unsigned int *ar);
                   2392: void _mulup2_55(unsigned int *a1,unsigned int *a2,unsigned int *ar);
                   2393: void _mulup2_66(unsigned int *a1,unsigned int *a2,unsigned int *ar);
                   2394: void type1_bin_invup2(UP2 a,int n,UP2 *inv);
                   2395: UP2 *compute_tab_gf2n(UP2 f);
                   2396: UP compute_trace_gf2n(UP2 *tab,GF2N c,int n);
                   2397: void up2toup(UP2 f,UP *r);
                   2398: void find_root_up2(UP2 f,GF2N *r);
                   2399: void addq(Q n1,Q n2,Q *nr);
                   2400: void subq(Q n1,Q n2,Q *nr);
                   2401: void mulq(Q n1,Q n2,Q *nr);
                   2402: void divq(Q n1,Q n2,Q *nq);
                   2403: void divsq(Q n1,Q n2,Q *nq);
                   2404: void invq(Q n,Q *nr);
                   2405: void chsgnq(Q n,Q *nr);
                   2406: void pwrq(Q n1,Q n,Q *nr);
                   2407: int cmpq(Q q1,Q q2);
                   2408: void remq(Q n,Q m,Q *nr);
                   2409: void mkbc(int n,Q *t);
                   2410: void mkwc(int k,int l,Q *t);
                   2411: void mkwcm(int k,int l,int m,int *t);
                   2412: void factorial(int n,Q *r);
                   2413: void invl(Q a,Q mod,Q *ar);
                   2414: void kmuln(N n1,N n2,N *nr);
                   2415: void extractn(N n,int index,int len,N *nr);
                   2416: void copyn(N n,int len,int *p);
                   2417: void dupn(N n,N p);
                   2418: void kmulnmain(N n1,N n2,N *nr);
                   2419: void plisttop(P *f,V v,int n,P *gp);
                   2420: int divtp(VL vl,P p1,P p2,P *q);
                   2421: int divtdcp(VL vl,P p1,P p2,P *q);
                   2422: int divtpz(VL vl,P p1,P p2,P *q);
                   2423: int divtdcpz(VL vl,P p1,P p2,P *q);
                   2424: void udivpz(P f1,P f2,P *fqp,P *frp);
                   2425: void udivpwm(Q mod,P p1,P p2,P *q,P *r);
                   2426: void udivpzwm(Q mod,P f1,P f2,P *fqp,P *frp);
                   2427: void henmv(VL vl,VN vn,P f,P g0,P h0,P a0,P b0,P lg,P lh,P lg0,P lh0,Q q,int k,P *gp,P *hp);
                   2428: void henmvmain(VL vl,VN vn,P f,P fi0,P fi1,P gi0,P gi1,P l0,P l1,Q mod,Q mod2,int k,P *fr0,P *fr1);
                   2429: void henzq(P f,P i0,UM fi0,P i1,UM fi1,int p,int k,P *fr0p,P *fr1p,P *gr0p,P *gr1p,Q *qrp);
                   2430: void henzq1(P g,P h,Q bound,P *gcp,P *hcp,Q *qp);
                   2431: void addm2p(VL vl,Q mod,Q mod2,P n1,P n2,P *nr);
                   2432: void subm2p(VL vl,Q mod,Q mod2,P n1,P n2,P *nr);
                   2433: void mulm2p(VL vl,Q mod,Q mod2,P n1,P n2,P *nr);
                   2434: void cmp(Q mod,P p,P *pr);
                   2435: void cm2p(Q mod,Q m,P p,P *pr);
                   2436: void addm2q(Q mod,Q mod2,Q n1,Q n2,Q *nr);
                   2437: void subm2q(Q mod,Q mod2,Q n1,Q n2,Q *nr);
                   2438: void mulm2q(Q mod,Q mod2,Q n1,Q n2,Q *nr);
                   2439: void rem2q(Q n,Q m,Q m2,Q *nr);
                   2440: void exthpc_generic(VL vl,P p,int d,V v,P *pr);
                   2441: void exthp(VL vl,P p,int d,P *pr);
                   2442: void exthpc(VL vl,V v,P p,int d,P *pr);
                   2443: void cbound(VL vl,P p,Q *b);
                   2444: int geldb(VL vl,P p);
                   2445: int getdeg(V v,P p);
                   2446: void cmax(P p,Q *b);
                   2447: int nextbin(VN vn,int n);
                   2448: void mulsgn(VN vn,VN vnt,int n,VN vn1);
                   2449: void next(VN vn);
                   2450: void clctv(VL vl,P p,VL *nvlp);
                   2451: void markv(VN vn,int n,P p);
                   2452: void vntovl(VN vn,int n,VL *vlp);
                   2453: int dbound(V v,P f);
                   2454: int homdeg(P f);
                   2455: int minhomdeg(P f);
                   2456: void adjc(VL vl,P f,P a,P lc0,Q q,P *fr,P *ar);
                   2457: void affinemain(VL vl,P p,V v0,int n,P *pl,P *pr);
                   2458: void restore(VL vl,P f,VN vn,P *fr);
                   2459: void mergev(VL vl,VL vl1,VL vl2,VL *nvlp);
                   2460: void substvp(VL vl,P f,VN vn,P *g);
                   2461: void affine(VL vl,P f,VN vn,P *fr);
                   2462: void addnum(VL vl,Num a,Num b,Num *c);
                   2463: void subnum(VL vl,Num a,Num b,Num *c);
                   2464: void mulnum(VL vl,Num a,Num b,Num *c);
                   2465: void divnum(VL vl,Num a,Num b,Num *c);
                   2466: void pwrnum(VL vl,Num a,Num b,Num *c);
                   2467: void chsgnnum(Num a,Num *c);
                   2468: int compnum(VL vl,Num a,Num b);
                   2469: void one_ff(Num *c);
                   2470: int negative_number(Num c);
                   2471: void simp_ff(Obj p,Obj *rp);
                   2472: void field_order_ff(N *order);
                   2473: int fft_available(int d1,int n1,int d2,int n2);
                   2474: void get_fft_prime(int index,int *p,int *d);
                   2475: void nglob_init();
                   2476: void get_eg(struct oEGT *p);
                   2477: void init_eg(struct oEGT *eg);
                   2478: void add_eg(struct oEGT *base,struct oEGT *start,struct oEGT *end);
                   2479: void print_eg(char *item,struct oEGT *eg);
                   2480: void print_split_eg(struct oEGT *start,struct oEGT *end);
                   2481: void print_split_e(struct oEGT *start,struct oEGT *end);
                   2482: void suspend_timer() ;
                   2483: void resume_timer() ;
                   2484: void reset_engine() ;
                   2485: unsigned int get_asir_version() ;
                   2486: char *get_asir_distribution();
1.63      noro     2487: void create_error(ERR *err,unsigned int serial,char *msg,LIST trace);
1.29      noro     2488: void init_lprime();
                   2489: int get_lprime(int index);
                   2490: void create_new_lprimes(int index);
                   2491: void reorderp(VL nvl,VL ovl,P p,P *pr);
                   2492: void substp(VL vl,P p,V v0,P p0,P *pr);
                   2493: void detp(VL vl,P **rmat,int n,P *dp);
                   2494: void invmatp(VL vl,P **rmat,int n,P ***imatp,P *dnp);
                   2495: void reordvar(VL vl,V v,VL *nvlp);
                   2496: void gcdprsp(VL vl,P p1,P p2,P *pr);
                   2497: void gcdcp(VL vl,P p,P *pr);
                   2498: void sprs(VL vl,V v,P p1,P p2,P *pr);
                   2499: void resultp(VL vl,V v,P p1,P p2,P *pr);
                   2500: void srch2(VL vl,V v,P p1,P p2,P *pr);
                   2501: void srcr(VL vl,V v,P p1,P p2,P *pr);
                   2502: void res_ch_det(VL vl,V v,P p1,P p2,P *pr);
                   2503: void res_detmp(VL vl,int mod,V v,P p1,P p2,P *dp);
                   2504: void premp(VL vl,P p1,P p2,P *pr);
                   2505: void ptozp0(P p,P *pr);
                   2506: void mindegp(VL vl,P p,VL *mvlp,P *pr);
                   2507: void maxdegp(VL vl,P p,VL *mvlp,P *pr);
                   2508: void min_common_vars_in_coefp(VL vl,P p,VL *mvlp,P *pr);
                   2509: void minlcdegp(VL vl,P p,VL *mvlp,P *pr);
                   2510: void sort_by_deg(int n,P *p,P *pr);
                   2511: void sort_by_deg_rev(int n,P *p,P *pr);
                   2512: void getmindeg(V v,P p,Q *dp);
                   2513: void minchdegp(VL vl,P p,VL *mvlp,P *pr);
                   2514: int getchomdeg(V v,P p);
                   2515: int getlchomdeg(V v,P p,int *d);
                   2516: int nmonop(P p);
                   2517: int qpcheck(Obj p);
                   2518: int uzpcheck(Obj p);
                   2519: int p_mag(P p);
                   2520: int maxblenp(P p);
                   2521: void berle(int index,int count,P f,ML *listp);
                   2522: int berlecnt(int mod,UM f);
                   2523: int berlecntmain(int mod,int n,int m,int **c);
                   2524: UM *berlemain(int mod,UM f,UM *fp);
                   2525: void hensel(int index,int count,P f,ML *listp);
                   2526: void hensel2(int index,int count,P f,ML *listp);
                   2527: void henmain2(LUM f,UM g0,UM h0,UM a0,UM b0,int m,int bound,LUM *gp);
                   2528: void clearlum(int n,int bound,LUM f);
                   2529: void addtolum(int m,int bound,LUM f,LUM g);
                   2530: void hsq(int index,int count,P f,int *nindex,DCP *dcp);
                   2531: void gcdgen(P f,ML blist,ML *clistp);
                   2532: void henprep2(int mod,int q,int k,UM f,UM g,UM h,UM qg,UM qh,UM qa,UM qb);
                   2533: void henprep(P f,ML blist,ML clist,ML *bqlistp,ML *cqlistp);
                   2534: void henmain(LUM f,ML bqlist,ML cqlist,ML *listp);
                   2535: int mignotte(int q,P f);
                   2536: int mig(int q,int d,P f);
                   2537: void sqad(unsigned int man,int exp);
                   2538: void ptolum(int q,int bound,P f,LUM fl);
                   2539: void modfctrp(P p,int mod,int flag,DCP *dcp);
                   2540: void gensqfrum(int mod,UM p,struct oDUM *dc);
                   2541: void ddd(int mod,UM f,UM *r);
                   2542: void canzas(int mod,UM f,int d,UM *base,UM *r);
                   2543: void randum(int mod,int d,UM p);
                   2544: void pwrmodum(int mod,UM p,int e,UM f,UM pr);
                   2545: void spwrum(int mod,UM m,UM *base,UM f,N e,UM r);
                   2546: void spwrum0(int mod,UM m,UM f,N e,UM r);
                   2547: void mult_mod_tab(UM p,int mod,UM *tab,UM r,int d);
                   2548: void make_qmat(UM p,int mod,UM *tab,int ***mp);
                   2549: void null_mod(int **mat,int mod,int n,int *ind);
                   2550: void null_to_sol(int **mat,int *ind,int mod,int n,UM *r);
                   2551: void newddd(int mod,UM f,UM *r);
                   2552: int nfctr_mod(UM f,int mod);
                   2553: int irred_check(UM f,int mod);
                   2554: int berlekamp(UM p,int mod,int df,UM *tab,UM *r);
                   2555: void minipoly_mod(int mod,UM f,UM p,UM mp);
                   2556: void lnf_mod(int mod,int n,UM p0,UM p1,struct p_pair *list,UM np0,UM np1);
                   2557: void showum(UM p);
                   2558: void showumat(int **mat,int n);
                   2559: int find_root(int mod,UM p,int *root);
                   2560: void fctrp(VL vl,P f,DCP *dcp);
                   2561: void fctr_wrt_v_p(VL vl,P f,V v,DCP *dcp);
                   2562: void homfctr(VL vl,P g,DCP *dcp);
                   2563: void mfctr(VL vl,P f,DCP *dcp);
                   2564: void mfctr_wrt_v(VL vl,P f,V v,DCP *dcp);
                   2565: void adjsgn(P p,DCP dc);
                   2566: int headsgn(P p);
                   2567: void fctrwithmvp(VL vl,P f,V v,DCP *dcp);
                   2568: void mfctrwithmv(VL vl,P f,V v,DCP *dcp);
                   2569: void ufctr(P f,int hint,DCP *dcp);
                   2570: void mfctrmain(VL vl,P p,DCP *dcp);
                   2571: void ufctrmain(P p,int hint,DCP *dcp);
                   2572: void cycm(V v,int n,DCP *dcp);
                   2573: void cycp(V v,int n,DCP *dcp);
                   2574: void calcphi(V v,int n,struct oMF *mfp);
                   2575: void mkssum(V v,int e,int s,int sgn,P *r);
                   2576: int iscycp(P f);
                   2577: int iscycm(P f);
                   2578: void sortfs(DCP *dcp);
                   2579: void sortfsrev(DCP *dcp);
                   2580: void nthrootchk(P f,struct oDUM *dc,ML fp,DCP *dcp);
                   2581: void sqfrp(VL vl,P f,DCP *dcp);
                   2582: void msqfr(VL vl,P f,DCP *dcp);
                   2583: void usqp(P f,DCP *dcp);
                   2584: void msqfrmain(VL vl,P p,DCP *dcp);
                   2585: void msqfrmainmain(VL vl,P p,VN vn,P p0,DCP dc0,DCP *dcp,P *pp);
                   2586: void mfctrhen2(VL vl,VN vn,P f,P f0,P g0,P h0,P lcg,P lch,P *gp);
                   2587: int sqfrchk(P p);
                   2588: int cycchk(P p);
                   2589: int zerovpchk(VL vl,P p,VN vn);
                   2590: int valideval(VL vl,DCP dc,VN vn);
                   2591: void estimatelc(VL vl,Q c,DCP dc,VN vn,P *lcp);
                   2592: void monomialfctr(VL vl,P p,P *pr,DCP *dcp);
                   2593: void afctr(VL vl,P p0,P p,DCP *dcp);
                   2594: void afctrmain(VL vl,P p0,P p,int init,DCP *dcp);
                   2595: int divtmp(VL vl,int mod,P p1,P p2,P *q);
                   2596: int divtdcmp(VL vl,int mod,P p1,P p2,P *q);
                   2597: void GC_gcollect();
1.55      saito    2598:
                   2599: /* IMAT */
                   2600: void Pnewimat(NODE, IMAT *);
                   2601: void PChsgnI(NODE, IMAT *);
                   2602: void Pm2Im(NODE, IMAT *);
                   2603: void PIm2m(NODE, MAT *);
                   2604:
                   2605: void AddMatI(VL, IMAT, IMAT, IMAT *);
                   2606: void MulMatI(VL, IMAT, IMAT, IMAT *);
                   2607: void MulMatG(VL, Obj, Obj, Obj *);
                   2608: void MulrMatI(VL, Obj, Obj, Obj *);
                   2609: void MulMatS(VL, IMAT, IMAT, IMAT *);
                   2610: void PutIent(IMAT, int, int, Obj);
                   2611: void GetIent(IMAT, int, int, Obj);
                   2612: void GetIbody(IMAT, int, int, Obj *);
                   2613: void ChsgnI(IMAT, IMAT *c);
                   2614: void AppendIent(IMAT, int, int, Obj);
                   2615: void MEnt(int, int, int, Obj, IENT *);
                   2616: void GetForeIent(IMATC *, IENT *, int *);
                   2617: void GetNextIent(IMATC *, IENT *, int *);
                   2618: void SubMatI(VL, IMAT, IMAT, IMAT *);
                   2619: /* IMAT */
1.52      noro     2620:
                   2621: Z stoz(int c);
                   2622: Z utoz(unsigned int c);
                   2623: Z qtoz(Q n);
                   2624: Q ztoq(Z n);
                   2625: Z chsgnz(Z n);
                   2626: Z simpz(Z n);
                   2627: Z dupz(Z n);
                   2628: Z absz(Z n);
                   2629: Z addz(Z n1,Z n2);
                   2630: Z subz(Z n1,Z n2);
                   2631: Z mulz(Z n1,Z n2);
                   2632: Z divsz(Z n1,Z n2);
                   2633: Z divz(Z n1,Z n2,Z *rem);
                   2634: Z gcdz(Z n1,Z n2);
                   2635: Z gcdz_cofactor(Z n1,Z n2,Z *c1,Z *c2);
                   2636: Z estimate_array_gcdz(Z *a,int n);
                   2637: Z array_gcdz(Z *a,int n);
                   2638: void mkwcz(int k,int l,Z *t);
                   2639: int remzi(Z n,int m);
                   2640:
1.1       noro     2641:
1.93      fujimoto 2642: #if 0 && !defined(VISUAL) && !defined(__MINGW32__)
1.1       noro     2643: void bzero(const void *,int);
                   2644: void bcopy(const void *,void *,int);
                   2645: char *index(char *,int);
                   2646: #endif
1.61      noro     2647:
                   2648: void chsgnnbp(NBP p,NBP *rp);
                   2649: void subnbp(VL vl,NBP p1,NBP p2, NBP *rp);
                   2650: void addnbp(VL vl,NBP p1,NBP p2, NBP *rp);
                   2651: void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp);
                   2652: void pwrnbp(VL vl,NBP p1,Q n, NBP *rp);
1.62      noro     2653: int compnbp(VL vl,NBP p1,NBP p2);
1.85      noro     2654:
                   2655: #define WORDSIZE_IN_N(a) (ABS((a)->_mp_size)*GMP_LIMB_BITS/32)
                   2656:
                   2657: #define MPZTOGZ(g,q) \
                   2658: (!mpz_sgn(g)?((q)=0):(NEWGZ(q),BDY(q)[0]=(g)[0],(q)))
                   2659: #define MPQTOGQ(g,q) \
                   2660: (!mpq_sgn(g)?((q)=0):(NEWGQ(q),BDY(q)[0]=(g)[0],(q)))
                   2661:
                   2662: #define INTMPQ(a) (!mpz_cmp_ui(mpq_numref(a),1))
                   2663:
                   2664: #define UNIGZ(a) ((a)&&NID(a)==N_GZ&&!mpz_cmp_ui(BDY(a),1))
                   2665: #define MUNIGZ(a) ((a)&&NID(a)==N_GZ&&!mpz_cmp_si(BDY(a),-1))
                   2666:
                   2667: #define INTGQ(a) ((a)&&NID(a)==N_GQ&&!mpz_cmp_ui(mpq_denref(BDY(a)),1))
                   2668:
                   2669: #define UNIGQ(a) \
                   2670: ((a)&&NID(a)==N_GQ&&!mpz_cmp_ui(mpq_numref(BDY(a)),1)&&!mpz_cmp_ui(mpq_denref(BDY(a)),1))
                   2671: #define MUNIGQ(a) \
                   2672: ((a)&&NID(a)==N_GQ&&!mpz_cmp_si(mpq_numref(BDY(a)),-1)&&!mpz_cmp_ui(mpq_denref(BDY(a)),1))
                   2673:
                   2674: #define MPZTOMPQ(z,q) \
                   2675: (mpq_init(q),mpq_numref(q)[0] = (z)[0],mpz_set_ui(mpq_denref(q),1))
                   2676:
1.89      noro     2677: #define MPFRTOBF(g,q) \
                   2678: (NEWBF(q),BDY(q)[0]=(g)[0],(q))
                   2679:
1.85      noro     2680: extern mpz_t ONEMPZ;
                   2681: extern GZ ONEGZ;
                   2682:
                   2683: void *gc_realloc(void *p,size_t osize,size_t nsize);
                   2684: void gc_free(void *p,size_t size);
                   2685: void init_gmpq();
                   2686: GQ mpqtogzq(mpq_t a);
                   2687: GQ qtogq(Q a);
                   2688: Q gqtoq(GQ a);
                   2689: GZ ztogz(Q a);
                   2690: Q gztoz(GZ a);
                   2691: P ptogp(P a);
                   2692: P gptop(P a);
                   2693: void addgz(GZ n1,GZ n2,GZ *nr);
                   2694: void subgz(GZ n1,GZ n2,GZ *nr);
                   2695: void mulgz(GZ n1,GZ n2,GZ *nr);
1.87      noro     2696: void mul1gz(GZ n1,int n2,GZ *nr);
1.85      noro     2697: void divgz(GZ n1,GZ n2,GZ *nq);
                   2698: void chsgngz(GZ n,GZ *nr);
                   2699: void pwrgz(GZ n1,Q n,GZ *nr);
                   2700: int cmpgz(GZ q1,GZ q2);
                   2701: void gcdgz(GZ n1,GZ n2,GZ *nq);
                   2702: void gcdvgz(VECT v,GZ *q);
                   2703: void addgq(GQ n1,GQ n2,GQ *nr);
                   2704: void subgq(GQ n1,GQ n2,GQ *nr);
                   2705: void mulgq(GQ n1,GQ n2,GQ *nr);
                   2706: void divgq(GQ n1,GQ n2,GQ *nq);
                   2707: void chsgngq(GQ n,GQ *nr);
                   2708: void pwrgq(GQ n1,Q n,GQ *nr);
                   2709: int cmpgq(GQ n1,GQ n2);
                   2710: void mkgwc(int k,int l,GZ *t);
                   2711: void gz_ptozp(P p,int sgn,GQ *c,P *pr);
                   2712: void gz_lgp(P p,GZ *g,GZ *l);
                   2713: void gz_qltozl(GQ *w,int n,GZ *dvr);
1.88      ohara    2714:
                   2715: void _mdtodp(DP p,DP *pr);
                   2716: void add_denomlist(P f);
                   2717: void algobjtorat(Obj f,Obj *r);
                   2718: void algtodalg(Alg a,DAlg *r);
                   2719: void appenduflist(NODE n);
                   2720: void arf_add(VL,Obj,Obj,Obj *);
                   2721: void arf_chsgn(Obj,Obj *);
                   2722: void arf_div(VL,Obj,Obj,Obj *);
                   2723: void arf_mul(VL,Obj,Obj,Obj *);
                   2724: void arf_sub(VL,Obj,Obj,Obj *);
                   2725: void asir_terminate(int);
                   2726: void check_intr();
                   2727: void clctalg(P,VL *);
                   2728: void comm_muld_trunc(VL vl,DP p1,DP p2,DL dl,DP *pr);
                   2729: void comm_quod(VL vl,DP p1,DP p2,DP *pr);
                   2730: void create_modorder_spec(int id,LIST shift,struct modorder_spec **s);
                   2731: void dalgtoalg(DAlg da,Alg *r);
                   2732: void divsgz(GZ n1,GZ n2,GZ *nq);
                   2733: void dp_ht(DP p,DP *rp);
                   2734: void dp_interreduce(LIST f,LIST v,int field,struct order_spec *ord,LIST *rp);
                   2735: void dp_mbase(NODE,NODE *);
                   2736: void dp_nf_tab_f(DP p,LIST *tab,DP *rp);
                   2737: void dp_ptozp(DP,DP *);
                   2738: void dp_sort(DP p,DP *rp);
                   2739: void dp_subd(DP,DP,DP *);
                   2740: void dp_true_nf(NODE,DP,DP *,int,DP *,P *);
                   2741: void dp_true_nf_marked(NODE b,DP g,DP *ps,DP *hps,DP *rp,P *nmp,P *dnp);
                   2742: void dp_true_nf_marked_mod(NODE b,DP g,DP *ps,DP *hps,int mod,DP *rp,P *dnp);
                   2743: void gbcheck_list(NODE f,int n,VECT *gp,LIST *pp);
                   2744: void gcdsf(VL vl,P *pa,int k,P *r);
                   2745: void get_algtree(Obj f,VL *r);
                   2746: void get_vars(Obj,VL *);
                   2747: void gfstopgfs(GFS a,V v,P *c);
                   2748: void henmain_incremental(LUM f,LUM *bqlist,ML cqlist, int np, int mod, int start, int bound);
                   2749: void iftogfs(int n,GFS *c);
                   2750: void indextogfs(int index,GFS *c);
                   2751: void init_denomlist();
                   2752: void inva_chrem(P p0,P p,NODE *pr);
                   2753: void itogfs(int n,GFS *c);
                   2754: void lcmn(N n1,N n2,N *nr);
                   2755: void makevar(char *,P *);
                   2756: void mdtodp(DP p,DP *pr);
                   2757: void mfctrsf(VL vl,P f,DCP *dcp);
                   2758: void mulp_trunc(VL vl,P p1,P p2,VN vn,P *pr);
                   2759: void nd_det(int mod,MAT f,P *rp);
                   2760: void nd_gr(LIST f,LIST v,int m,int homo,int retdp,int f4,struct order_spec *ord,LIST *rp);
                   2761: void nd_gr_postproc(LIST f,LIST v,int m,struct order_spec *ord,int do_check,LIST *rp);
                   2762: void nd_gr_recompute_trace(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,LIST *rp);
                   2763: void nd_gr_trace(LIST f,LIST v,int trace,int homo,int f4,struct order_spec *ord,LIST *rp);
                   2764: void nd_nf_p(Obj f,LIST g,LIST v,int m,struct order_spec *ord,Obj *rp);
                   2765: void obj_algtodalg(Obj obj,Obj *r);
                   2766: void obj_dalgtoalg(Obj obj,Obj *r);
                   2767: void ox_bcast_102(int root);
                   2768: void ox_reduce_102(int root,void (*func)());
                   2769: void print_to_wfep(Obj obj);
                   2770: void printn(N);
                   2771: void printz(Z n);
                   2772: void pthrootgfs(GFS a,GFS *b);
                   2773: void quop_trunc(VL vl,P p1,P p2,VN vn,P *pr);
                   2774: void red_by_vect_sf(int m,unsigned int *p,unsigned int *r,unsigned int hc,int len);
                   2775: void removecont_array(P *c,int n,int full);
                   2776: void reset_top_weight();
                   2777: void setfield_dalg(NODE alist);
                   2778: void setfield_gb(NODE gb,VL vl,struct order_spec *spec);
                   2779: void setsecuremode(int value);
                   2780: void sfbfctr_shift(P f,V x,V y,int degbound,GFS *evp,P *sfp,DCP *dcp);
                   2781: void sfexgcd_by_hensel(BM g,BM h,int dy,BM *ap,BM *bp);
                   2782: void sfptopsfp(P f,V v,P *gp);
                   2783: void simpdalg(DAlg da,DAlg *r);
                   2784: void simple_derivr(VL vl,Obj a,V v,Obj *b);
                   2785: void substpp(VL vl,P p,V *vvect,P *svect,int nv,P *pr);
                   2786: void ufctrsf(P p,DCP *dcp);
                   2787: void vltopl(VL vl,LIST *l);
                   2788:
                   2789: int arf_comp(VL, Obj, Obj);
                   2790: int available_mcindex(int ind);
                   2791: int compare_zero(int n,int *u,int row,int **w);
                   2792: int create_composite_order_spec(VL vl,LIST order,struct order_spec **specp);
                   2793: int create_order_spec(VL,Obj,struct order_spec **);
                   2794: int dalgtoup(DAlg da,P *up,Q *dn);
                   2795: int dl_equal(int nv,DL dl1,DL dl2);
                   2796: int dp_redble(DP,DP);
                   2797: int dpv_hp(DPV p);
                   2798: int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Q *dn,int **rindp,int **cindp);
                   2799: int generic_gauss_elim_hensel_dalg(MAT mat,DP *mb,MAT *nmmat,Q *dn,int **rindp,int **cindp);
                   2800: int generic_gauss_elim_mod(int **mat0,int row,int col,int md,int *colstat);
                   2801: int generic_gauss_elim_mod2(int **mat0,int row,int col,int md,int *colstat,int *rowstat);
                   2802: int get_field_type(P p);
                   2803: int get_ox_server_id(int index);
                   2804: int getsecuremode();
                   2805: int gz_generic_gauss_elim(MAT mat,MAT *nm,GZ *dn,int **rindp,int **cindp);
                   2806: int gz_generic_gauss_elim_full(MAT mat,MAT *nm,GZ *dn,int **rindp,int **cindp);
                   2807: int gz_gensolve_check(MAT mat,MAT nm,GZ dn,int *rind,int *cind);
                   2808: int gz_gensolve_check2(MAT mat,MAT nm,GZ *dn,int *rind,int *cind);
                   2809: int gz_intmtoratm(MAT mat,GZ md,MAT nm,GZ *dn);
                   2810: int gz_intmtoratm2(MAT mat,GZ md,MAT nm,GZ *dn,int *stat);
                   2811: int gz_inttorat(GZ c,GZ m,GZ b,int *sgnp,GZ *nmp,GZ *dnp);
                   2812: int gz_intvtoratv(GZ *v,int n,GZ md,GZ b,GZ *nm,GZ *dn);
                   2813: int invdalg(DAlg a,DAlg *c);
                   2814: int is_eq(Obj a0,Obj a1);
                   2815: int length(NODE);
                   2816: int lu_mod(unsigned int **a,int n,unsigned int md,int **rinfo);
                   2817: int n_bits_gz(GZ a);
                   2818: int nd_gauss_elim_gz(GZ **mat0,int *sugar,int row,int col,int *colstat);
                   2819: int poly_is_dependent(P p,V v);
                   2820: int setsecureflag(char *name,int value);
                   2821: int sfdegtest(int dy,int bound,UM *d1c,int k,int *in);
                   2822: int sgnz(Z n);
1.101     ohara    2823:
                   2824: #if defined(VISUAL) || defined(__MINGW32__)
                   2825: void check_intr();
                   2826: void enter_signal_cs();
                   2827: void leave_signal_cs();
                   2828: void leave_signal_cs_all();
                   2829: #define LEAVE_SIGNAL_CS_ALL  leave_signal_cs_all()
                   2830: #else
                   2831: #define LEAVE_SIGNAL_CS_ALL
                   2832: #endif

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