Annotation of OpenXM_contrib2/asir2018/include/ca.h, Revision 1.1
1.1 ! noro 1: /*
! 2: * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
! 3: * All rights reserved.
! 4: *
! 5: * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
! 6: * non-exclusive and royalty-free license to use, copy, modify and
! 7: * redistribute, solely for non-commercial and non-profit purposes, the
! 8: * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
! 9: * conditions of this Agreement. For the avoidance of doubt, you acquire
! 10: * only a limited right to use the SOFTWARE hereunder, and FLL or any
! 11: * third party developer retains all rights, including but not limited to
! 12: * copyrights, in and to the SOFTWARE.
! 13: *
! 14: * (1) FLL does not grant you a license in any way for commercial
! 15: * purposes. You may use the SOFTWARE only for non-commercial and
! 16: * non-profit purposes only, such as academic, research and internal
! 17: * business use.
! 18: * (2) The SOFTWARE is protected by the Copyright Law of Japan and
! 19: * international copyright treaties. If you make copies of the SOFTWARE,
! 20: * with or without modification, as permitted hereunder, you shall affix
! 21: * to all such copies of the SOFTWARE the above copyright notice.
! 22: * (3) An explicit reference to this SOFTWARE and its copyright owner
! 23: * shall be made on your publication or presentation in any form of the
! 24: * results obtained by use of the SOFTWARE.
! 25: * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
! 26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
! 27: * for such modification or the source code of the modified part of the
! 28: * SOFTWARE.
! 29: *
! 30: * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
! 31: * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
! 32: * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
! 33: * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
! 34: * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
! 35: * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
! 36: * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
! 37: * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
! 38: * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
! 39: * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
! 40: * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
! 41: * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
! 42: * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
! 43: * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
! 44: * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
! 45: * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
! 46: * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
! 47: *
! 48: * $OpenXM$
! 49: */
! 50: #include <stdio.h>
! 51: #include <stdlib.h>
! 52: #include <gmp.h>
! 53: #include <mpc.h>
! 54: #include <limits.h>
! 55:
! 56: /* from mpfr-impl.h */
! 57: #define MPFR_PREC(x) ((x)->_mpfr_prec)
! 58: #define MPFR_EXP(x) ((x)->_mpfr_exp)
! 59: #define MPFR_MANT(x) ((x)->_mpfr_d)
! 60: #define MPFR_LAST_LIMB(x) ((MPFR_PREC (x) - 1) / GMP_NUMB_BITS)
! 61: #define MPFR_LIMB_SIZE(x) (MPFR_LAST_LIMB (x) + 1)
! 62:
! 63: #define RAT_CEIL(nm,dn) (((nm)+(dn)-1)/((dn)))
! 64: #define MPFR_LIMB_SIZE_REAL(x) (RAT_CEIL(MPFR_PREC((x)),sizeof(mp_limb_t)*CHAR_BIT) * (sizeof(mp_limb_t)/sizeof(int)) )
! 65: #define MPFR_LIMB_SIZE_BODY(x) (RAT_CEIL(MPFR_PREC((x)),sizeof(unsigned int)*CHAR_BIT))
! 66:
! 67: #if defined(hpux)
! 68: #include <netinet/in.h>
! 69: # define setbuffer(FP,buf,siz) setvbuf(FP,buf,_IOFBF,siz)
! 70: #endif
! 71:
! 72: #if !defined(VISUAL) && !defined(__MINGW32__)
! 73: #include <unistd.h>
! 74: #include <sys/param.h>
! 75: #endif
! 76:
! 77: #if defined(linux) || (defined(sun) && !defined(SYSV)) || defined(news5000) || (defined(mips) && defined(ultrix))
! 78: #include <alloca.h>
! 79: #endif
! 80:
! 81: #if (defined(sun) && defined(SYSV))
! 82: #define alloca(x) __builtin_alloca(x)
! 83: #endif
! 84:
! 85: #if defined(VISUAL) || defined(__MINGW32__)
! 86: #include <limits.h>
! 87: #include <malloc.h>
! 88: #endif
! 89:
! 90: #if 0
! 91: #include <sys/types.h>
! 92: typedef caddr_t pointer;
! 93: #endif
! 94:
! 95:
! 96: typedef void * pointer;
! 97:
! 98: #if defined(sun)
! 99: #include <strings.h>
! 100: #else
! 101: #include <string.h>
! 102: #if defined(VISUAL) || defined(__MINGW32__)
! 103: #define index(s,c) strchr(s,c)
! 104: #define bzero(s,len) memset(s,0,len)
! 105: #define bcopy(x,y,len) memcpy(y,x,len)
! 106: #endif
! 107: #endif
! 108:
! 109: #define NULLP ((void *)0)
! 110:
! 111: #define TODO printf("%s: not implemented!\n", __func__)
! 112:
! 113: #define COPY(a,b) ((b)=(a))
! 114: #define FREEN(p)
! 115: #define FREEQ(p)
! 116: #define FREE(p)
! 117: #define INITRC(p)
! 118:
! 119: /* data structures */
! 120:
! 121: #define O_N 1
! 122: #define O_P 2
! 123: #define O_R 3
! 124: #define O_LIST 4
! 125: #define O_VECT 5
! 126: #define O_MAT 6
! 127: #define O_STR 7
! 128: #define O_COMP 8
! 129: #define O_DP 9
! 130: #define O_USINT 10
! 131: #define O_ERR 11
! 132: #define O_GF2MAT 12
! 133: #define O_MATHCAP 13
! 134: #define O_F 14
! 135: #define O_GFMMAT 15
! 136: #define O_BYTEARRAY 16
! 137: #define O_QUOTE 17
! 138: #define O_OPTLIST 18
! 139: #define O_SYMBOL 19
! 140: #define O_RANGE 20
! 141: #define O_TB 21
! 142: #define O_DPV 22
! 143: #define O_QUOTEARG 23
! 144: #define O_VOID -1
! 145: /* IMAT */
! 146: #define O_IMAT 24
! 147: /* IMAT */
! 148: #define O_NBP 25
! 149: #define O_DPM 26
! 150:
! 151: #define N_Q 0
! 152: #define N_R 1
! 153: #define N_A 2
! 154: #define N_B 3
! 155: #define N_NEXT_B (N_B)
! 156: #if defined(INTERVAL)
! 157: #define N_Quad (N_NEXT_B+1)
! 158: #define N_IP (N_NEXT_B+2)
! 159: #define N_IntervalDouble (N_NEXT_B+3)
! 160: #define N_IntervalQuad (N_NEXT_B+4)
! 161: #define N_IntervalBigFloat (N_NEXT_B+5)
! 162: #define N_PRE_C N_IntervalBigFloat
! 163: #define N_BASE (N_NEXT_B+5)
! 164: #else
! 165: #define N_BASE N_NEXT_B
! 166: #endif
! 167: #define N_C (N_BASE+1)
! 168: #define N_M (N_BASE+2)
! 169: #define N_LM (N_BASE+3)
! 170: #define N_GF2N (N_BASE+4)
! 171: #define N_GFPN (N_BASE+5)
! 172: #define N_GFS (N_BASE+6)
! 173: #define N_GFSN (N_BASE+7)
! 174: #define N_DA (N_BASE+8)
! 175: #define N_PARIB (N_BASE+11)
! 176:
! 177: #define G_Z 0
! 178: #define G_Q 1
! 179:
! 180: #define ORD_REVGRADLEX 0
! 181: #define ORD_GRADLEX 1
! 182: #define ORD_LEX 2
! 183:
! 184: typedef enum {
! 185: A_end=0,A_fnode,A_arf,A_int,A_str,A_internal,A_node,A_notimpl,A_func
! 186: } farg_type;
! 187:
! 188: #if SIZEOF_LONG == 8
! 189: typedef long L;
! 190: typedef unsigned long UL;
! 191: #elif defined(HAVE_UNSIGNED_LONG_LONG)
! 192: typedef long long L;
! 193: typedef unsigned long long UL;
! 194: #elif defined(_MSC_VER)
! 195: typedef _int64 L;
! 196: typedef unsigned _int64 UL;
! 197: #endif
! 198:
! 199: #if defined(__GNUC__) && SIZEOF_LONG == 8
! 200: typedef __uint64_t U64;
! 201: typedef __uint128_t U128;
! 202: typedef __int64_t L64;
! 203: typedef __int128_t L128;
! 204: #endif
! 205:
! 206: typedef struct oZ {
! 207: short id;
! 208: char nid;
! 209: char z;
! 210: mpz_t body;
! 211: } *Z;
! 212:
! 213: typedef struct oQ {
! 214: short id;
! 215: char nid;
! 216: char z;
! 217: mpq_t body;
! 218: } *Q;
! 219:
! 220: typedef struct oLM {
! 221: short id;
! 222: char nid;
! 223: char pad;
! 224: mpz_t body;
! 225: } *LM;
! 226:
! 227: typedef struct oUP2 {
! 228: int w;
! 229: unsigned int b[1];
! 230: } *UP2;
! 231:
! 232: typedef struct _oUP2 {
! 233: int w;
! 234: unsigned int *b;
! 235: } *_UP2;
! 236:
! 237: #define UP2_DENSE 0
! 238: #define UP2_SPARSE 1
! 239:
! 240: typedef struct oGEN_UP2 {
! 241: int id;
! 242: UP2 dense;
! 243: UP2 sparse;
! 244: } *GEN_UP2;
! 245:
! 246: typedef struct oV {
! 247: char *name;
! 248: pointer attr;
! 249: pointer priv;
! 250: } *V;
! 251:
! 252: typedef struct oReal {
! 253: short id;
! 254: char nid;
! 255: char pad;
! 256: double body;
! 257: } *Real;
! 258:
! 259: typedef struct oAlg {
! 260: short id;
! 261: char nid;
! 262: char pad;
! 263: struct oObj *body;
! 264: } *Alg;
! 265:
! 266: typedef struct oBF {
! 267: short id;
! 268: char nid;
! 269: char pad;
! 270: mpfr_t body;
! 271: } *BF;
! 272:
! 273: typedef struct oC {
! 274: short id;
! 275: char nid;
! 276: char pad;
! 277: struct oNum *r,*i;
! 278: } *C;
! 279:
! 280: typedef struct oGF2N {
! 281: short id;
! 282: char nid;
! 283: char pad;
! 284: struct oUP2 *body;
! 285: } *GF2N;
! 286:
! 287: typedef struct oGFPN {
! 288: short id;
! 289: char nid;
! 290: char pad;
! 291: struct oUP *body;
! 292: } *GFPN;
! 293:
! 294: typedef struct oDAlg {
! 295: short id;
! 296: char nid;
! 297: char pad;
! 298: struct oDP *nm;
! 299: struct oZ *dn;
! 300: } *DAlg;
! 301:
! 302: typedef struct oNum {
! 303: short id;
! 304: char nid;
! 305: char pad;
! 306: } *Num;
! 307:
! 308: typedef struct oMQ {
! 309: short id;
! 310: char nid;
! 311: char pad;
! 312: int cont;
! 313: } *MQ;
! 314:
! 315: typedef struct oGFS {
! 316: short id;
! 317: char nid;
! 318: char pad;
! 319: int cont;
! 320: } *GFS;
! 321:
! 322: typedef struct oGFSN {
! 323: short id;
! 324: char nid;
! 325: char pad;
! 326: struct oUM *body;
! 327: } *GFSN;
! 328:
! 329: typedef struct oP {
! 330: short id;
! 331: short pad;
! 332: V v;
! 333: struct oDCP *dc;
! 334: } *P;
! 335:
! 336: typedef struct oR {
! 337: short id;
! 338: short reduced;
! 339: P nm;
! 340: P dn;
! 341: } *R;
! 342:
! 343: typedef struct oVECT {
! 344: short id;
! 345: short pad;
! 346: int len;
! 347: pointer *body;
! 348: } *VECT;
! 349:
! 350: typedef struct oMAT {
! 351: short id;
! 352: short pad;
! 353: int row,col;
! 354: pointer **body;
! 355: } *MAT;
! 356:
! 357: typedef struct oGF2MAT {
! 358: short id;
! 359: short pad;
! 360: int row,col;
! 361: unsigned int **body;
! 362: } *GF2MAT, *GFMMAT;
! 363:
! 364: /* IMAT */
! 365: #define IMATCH 64
! 366:
! 367: typedef struct oIENT {
! 368: int cr;
! 369: int row, col;
! 370: pointer *body;
! 371: } IENT;
! 372:
! 373: typedef struct oIMATC {
! 374: pointer *fore;
! 375: pointer *next;
! 376: IENT ient[IMATCH];
! 377: } *IMATC;
! 378:
! 379: typedef struct oIMAT {
! 380: short id;
! 381: int row, col, clen;
! 382: pointer *root;
! 383: pointer *toor;
! 384: } *IMAT;
! 385: /* IMAT */
! 386: typedef struct oLIST {
! 387: short id;
! 388: short pad;
! 389: struct oNODE *body;
! 390: } *LIST;
! 391:
! 392: typedef struct oSTRING {
! 393: short id;
! 394: short pad;
! 395: char *body;
! 396: } *STRING;
! 397:
! 398: typedef struct oCOMP {
! 399: short id;
! 400: short type;
! 401: struct oObj *member[1];
! 402: } *COMP;
! 403:
! 404: typedef struct oDP {
! 405: short id;
! 406: short nv;
! 407: int sugar;
! 408: struct oMP *body;
! 409: } *DP;
! 410:
! 411: typedef struct oDPV {
! 412: short id;
! 413: int len;
! 414: int sugar;
! 415: struct oDP **body;
! 416: } *DPV;
! 417:
! 418:
! 419: typedef struct oUSINT {
! 420: short id;
! 421: short pad;
! 422: unsigned int body;
! 423: } *USINT;
! 424:
! 425: typedef struct oERR {
! 426: short id;
! 427: short pad;
! 428: struct oObj *body;
! 429: } *ERR;
! 430:
! 431: typedef struct oMATHCAP {
! 432: short id;
! 433: short pad;
! 434: struct oLIST *body;
! 435: } *MATHCAP;
! 436:
! 437: typedef struct oBYTEARRAY {
! 438: short id;
! 439: short pad;
! 440: int len;
! 441: unsigned char *body;
! 442: } *BYTEARRAY;
! 443:
! 444: typedef struct oQUOTE {
! 445: short id;
! 446: short pad;
! 447: pointer body;
! 448: } *QUOTE;
! 449:
! 450: typedef struct oQUOTEARG {
! 451: short id;
! 452: short pad;
! 453: farg_type type;
! 454: pointer body;
! 455: } *QUOTEARG;
! 456:
! 457: typedef struct oOPTLIST {
! 458: short id;
! 459: short pad;
! 460: struct oNODE *body;
! 461: } *OPTLIST;
! 462:
! 463: typedef struct oSYMBOL {
! 464: short id;
! 465: short pad;
! 466: char *name;
! 467: int value;
! 468: } *SYMBOL;
! 469:
! 470: typedef struct oRANGE {
! 471: short id;
! 472: short pad;
! 473: struct oObj *start,*end;
! 474: } *RANGE;
! 475:
! 476: typedef struct oTB {
! 477: short id;
! 478: short pad;
! 479: int size,next;
! 480: char **body;
! 481: } *TB;
! 482:
! 483: typedef struct oNBP {
! 484: short id;
! 485: short pad;
! 486: struct oNODE *body;
! 487: } *NBP;
! 488:
! 489: /* non-commutative bivariate monomial */
! 490:
! 491: typedef struct oNBM {
! 492: int d;
! 493: P c;
! 494: unsigned int *b;
! 495: } *NBM;
! 496:
! 497: #define NEWNBM(p) ((p)=(NBM)MALLOC(sizeof(struct oNBM)))
! 498: #define NEWNBMBDY(p,d) \
! 499: ((p)->b=(unsigned int *)MALLOC((((d)+31)/32)*sizeof(unsigned int)))
! 500: #define NEWNBP(p) ((p)=(NBP)MALLOC(sizeof(struct oNBP)),OID(p)=O_NBP)
! 501: #define MKNBP(p,b) (NEWNBP(p),BDY(p)=(b))
! 502:
! 503: #define NBM_GET(a,j) (((a)[(j)>>5]&(1<<((j)&31)))?1:0)
! 504: #define NBM_SET(a,j) ((a)[(j)>>5]|=(1<<((j)&31)))
! 505: #define NBM_CLR(a,j) ((a)[(j)>>5]&=(~(1<<((j)&31))))
! 506:
! 507: typedef struct oObj {
! 508: short id;
! 509: short pad;
! 510: } *Obj;
! 511:
! 512: typedef struct oDCP {
! 513: Z d;
! 514: P c;
! 515: struct oDCP *next;
! 516: } *DCP;
! 517:
! 518: typedef struct oMP {
! 519: struct oDL *dl;
! 520: Obj c;
! 521: struct oMP *next;
! 522: } *MP;
! 523:
! 524: typedef struct oDPM {
! 525: short id;
! 526: short nv;
! 527: int sugar;
! 528: struct oDMM *body;
! 529: } *DPM;
! 530:
! 531: typedef struct oDMM {
! 532: int pos;
! 533: struct oDL *dl;
! 534: Obj c;
! 535: struct oDMM *next;
! 536: } *DMM;
! 537:
! 538: typedef struct oDL {
! 539: int td;
! 540: int d[1];
! 541: } *DL;
! 542:
! 543: struct dp_pairs {
! 544: int dp1, dp2;
! 545: DL lcm;
! 546: int sugar;
! 547: struct dp_pairs *next;
! 548: };
! 549:
! 550: typedef struct dp_pairs *DP_pairs;
! 551:
! 552: struct p_pair {
! 553: struct oUM *p0;
! 554: struct oUM *p1;
! 555: struct p_pair *next;
! 556: };
! 557:
! 558: struct oMF {
! 559: int m;
! 560: P f;
! 561: };
! 562:
! 563: /*
! 564: * compressed DP
! 565: */
! 566:
! 567: typedef struct oCDP {
! 568: int len;
! 569: long psindex;
! 570: unsigned int *body;
! 571: } *CDP;
! 572:
! 573: typedef struct oCM {
! 574: int index;
! 575: int c;
! 576: } *CM;
! 577:
! 578: /* bucket list for DL */
! 579:
! 580: typedef struct oDLBUCKET {
! 581: int td;
! 582: struct oNODE *body;
! 583: struct oDLBUCKET *next;
! 584: } *DLBUCKET;
! 585:
! 586: typedef struct oGeoBucket {
! 587: int m;
! 588: struct oNODE *body[32];
! 589: } *GeoBucket;
! 590:
! 591: typedef struct oVL {
! 592: V v;
! 593: struct oVL *next;
! 594: } *VL;
! 595:
! 596: typedef struct oNODE {
! 597: pointer body;
! 598: struct oNODE *next;
! 599: } *NODE;
! 600:
! 601: /* univariate poly over small finite field; dense */
! 602: typedef struct oUM {
! 603: int d;
! 604: int c[1];
! 605: } *UM;
! 606:
! 607: /* univariate poly with nadic coeff */
! 608: typedef struct oLUM {
! 609: int d;
! 610: int *c[1];
! 611: } *LUM;
! 612:
! 613: /* bivariate poly over small finite field; dense */
! 614:
! 615: typedef struct oBM {
! 616: int d;
! 617: UM c[1];
! 618: } *BM;
! 619:
! 620: typedef struct oML {
! 621: int n;
! 622: int mod;
! 623: int bound;
! 624: pointer c[1];
! 625: } *ML;
! 626:
! 627: typedef struct oUB {
! 628: int d;
! 629: Z c[1];
! 630: } *UB;
! 631:
! 632: typedef struct oVN {
! 633: V v;
! 634: int n;
! 635: } *VN;
! 636:
! 637: typedef struct oUP {
! 638: int d;
! 639: Num c[1];
! 640: } *UP;
! 641:
! 642: typedef struct oDUM {
! 643: int n;
! 644: UM f;
! 645: } *DUM;
! 646:
! 647: struct order_pair {
! 648: int order, length;
! 649: };
! 650:
! 651: struct sparse_weight {
! 652: int pos, value;
! 653: };
! 654:
! 655: #define IS_DENSE_WEIGHT 0
! 656: #define IS_SPARSE_WEIGHT 1
! 657: #define IS_BLOCK 2
! 658:
! 659: struct weight_or_block {
! 660: int type;
! 661: int length;
! 662: union {
! 663: int *dense_weight;
! 664: struct sparse_weight *sparse_weight;
! 665: struct {
! 666: int order, start;
! 667: } block;
! 668: } body;
! 669: };
! 670:
! 671: struct order_spec {
! 672: int id;
! 673: Obj obj;
! 674: int nv;
! 675: int ispot; /* 1 means Position over Term (Pos then Term) */
! 676: int pot_nelim; /* size of positions for pot-elimination order */
! 677: int *top_weight;
! 678: int module_rank;
! 679: int *module_top_weight;
! 680: union {
! 681: int simple;
! 682: struct {
! 683: int length;
! 684: struct order_pair *order_pair;
! 685: } block;
! 686: struct {
! 687: int row;
! 688: int **matrix;
! 689: } matrix;
! 690: struct {
! 691: int length;
! 692: struct weight_or_block *w_or_b;
! 693: } composite;
! 694: } ord;
! 695: };
! 696:
! 697: struct modorder_spec {
! 698: /* id : ORD_REVGRADLEX, ORD_GRADLEX, ORD_LEX */
! 699: int id;
! 700: Obj obj;
! 701: int len;
! 702: int *degree_shift;
! 703: };
! 704:
! 705: typedef struct oNumberField {
! 706: int n;
! 707: int psn;
! 708: int dim;
! 709: VL vl;
! 710: P *defpoly;
! 711: DP *mb;
! 712: DP *ps;
! 713: struct oDAlg *one;
! 714: NODE ind;
! 715: struct order_spec *spec;
! 716: } *NumberField;
! 717:
! 718: /* structure for cputime */
! 719:
! 720: struct oEGT {
! 721: double exectime,gctime;
! 722: };
! 723:
! 724: /* constant */
! 725:
! 726: /* ground finite field specification */
! 727: #define FF_NOT_SET 0
! 728: #define FF_GFP 1
! 729: #define FF_GF2N 2
! 730: #define FF_GFPN 3
! 731: #define FF_GFS 4
! 732: #define FF_GFSN 5
! 733:
! 734: /* include interval.h */
! 735: #include "interval.h"
! 736:
! 737: #define INDEX 100
! 738:
! 739: #if defined(USE_FLOAT)
! 740: typedef float ModNum;
! 741: #define NPrimes 536
! 742: #else
! 743: typedef unsigned int ModNum;
! 744: #define NPrimes 13681
! 745: #endif
! 746:
! 747: /* general macros */
! 748: #if defined(MAX)
! 749: #undef MAX
! 750: #endif
! 751: #if defined(MIN)
! 752: #undef MIN
! 753: #endif
! 754: #define MAX(a,b) ((a) > (b) ? (a) : (b) )
! 755: #define MIN(a,b) ((a) > (b) ? (b) : (a) )
! 756: #ifdef ABS
! 757: #undef ABS
! 758: #endif
! 759: #define ABS(a) ((a)>0?(a):-(a))
! 760: #define ID(p) ((p)->id)
! 761: #define OID(p) (((Obj)(p))->id)
! 762: #define NID(p) (((Num)(p))->nid)
! 763: #define BDY(p) ((p)->body)
! 764: #define VR(p) ((p)->v)
! 765: #define NAME(p) ((p)->name)
! 766: #define NEXT(p) ((p)->next)
! 767: #define NM(q) ((q)->nm)
! 768: #define DN(q) ((q)->dn)
! 769: #define SGN(q) ((q)->sgn)
! 770: #define DC(p) ((p)->dc)
! 771: #define COEF(p) ((p)->c)
! 772: #define DEG(p) ((p)->d)
! 773: #define CONT(a) ((a)->cont)
! 774: #define UDEG(f) QTOS(DEG(DC(f)))
! 775: #define UCOEF(f) (COEF(DC(f)))
! 776: #define LC(f) (NUM(f)?(f):COEF(DC(f)))
! 777:
! 778: /* memory allocators (W_... : uses alloca) */
! 779:
! 780: #define MALLOC(d) Risa_GC_malloc(d)
! 781: #define MALLOC_ATOMIC(d) Risa_GC_malloc_atomic(d)
! 782: #define MALLOC_ATOMIC_IGNORE_OFF_PAGE(d) Risa_GC_malloc_atomic_ignore_off_page(d)
! 783: #define REALLOC(p,d) Risa_GC_realloc(p,d)
! 784: #define GCFREE(p) Risa_GC_free(p)
! 785: #define CALLOC(d,e) MALLOC((d)*(e))
! 786:
! 787: #if 0
! 788: #if !defined(__CYGWIN__) && (defined(__GNUC__) || defined(vax) || defined(apollo) || defined(alloca) || defined(VISUAL) || defined(__MINGW32__))
! 789: #define ALLOCA(d) alloca(d)
! 790: #else
! 791: #define ALLOCA(d) MALLOC(d)
! 792: #endif
! 793: #endif
! 794:
! 795: #define ALLOCA(d) MALLOC(d)
! 796:
! 797: /* for handling signals */
! 798: #if defined(HAVE_SIGACTION) /* POSIX */
! 799: void (*set_signal(int sig, void (*handler)(int)))(int);
! 800: #define set_signal_for_restart(x,y) (0)
! 801: #else
! 802: #define set_signal(x,y) (signal(x,y))
! 803: #define set_signal_for_restart(x,y) (signal(x,y))
! 804: #endif
! 805:
! 806: /* for setjmp/longjmp compatibility */
! 807: #if defined(__CYGWIN__) || defined(HAVE_SIGACTION) || (defined(__x86_64) && !defined(__MINGW32__))
! 808: #define JMP_BUF sigjmp_buf
! 809: #define SETJMP(x) sigsetjmp(x,~0)
! 810: #define LONGJMP(x,y) siglongjmp(x,y)
! 811: #else
! 812: #define JMP_BUF jmp_buf
! 813: #define SETJMP(x) setjmp(x)
! 814: #define LONGJMP(x,y) longjmp(x,y)
! 815: #endif
! 816:
! 817: #define TRUESIZE(type,n,atype) (sizeof(struct type)+MAX((n),0)*sizeof(atype))
! 818: #define UMALLOC(d) ((UM)MALLOC(TRUESIZE(oUM,d,int)))
! 819: #define UPALLOC(d) ((UP)MALLOC(TRUESIZE(oUP,(d),Num)))
! 820: #define C_UMALLOC(d) ((UM)MALLOC(TRUESIZE(oUM,d,int)))
! 821: #define MLALLOC(d) ((ML)MALLOC(TRUESIZE(oML,d,pointer)))
! 822:
! 823: #define W_ALLOC(d) ((int *)ALLOCA(((d)+1)*sizeof(int)))
! 824: #define W_CALLOC(n,type,p) \
! 825: ((p)=(type *)ALLOCA(((n)+1)*sizeof(type)),\
! 826: bzero((char *)(p),(int)(((n)+1)*sizeof(type))))
! 827: #define W_UMALLOC(d) ((UM)ALLOCA(TRUESIZE(oUM,d,int)))
! 828: #define W_UPALLOC(d) ((UP)ALLOCA(TRUESIZE(oUP,(d),Num)))
! 829: #define W_MLALLOC(d) ((ML)ALLOCA(TRUESIZE(oML,d,pointer)))
! 830: #define W_LUMALLOC(n,bound,p)\
! 831: {\
! 832: LUM ___q___;\
! 833: int ___i___,**___c___;\
! 834: (___q___) = (LUM)ALLOCA(TRUESIZE(oLUM,(n),int *));\
! 835: DEG(___q___) = n;\
! 836: for ( ___i___ = 0, ___c___ = (int **)COEF(___q___); ___i___ <= n; ___i___++ ) {\
! 837: ___c___[___i___] = (int *)ALLOCA(((bound)+1)*sizeof(int));\
! 838: bzero((char *)___c___[___i___],((bound)+1)*sizeof(int));\
! 839: }\
! 840: (p) = ___q___;\
! 841: }
! 842:
! 843: #define W_BMALLOC(dx,dy,p)\
! 844: {\
! 845: BM ___q___;\
! 846: int ___i___;\
! 847: UM *___c___;\
! 848: (___q___) = (BM)ALLOCA(TRUESIZE(oBM,(dy),UM));\
! 849: DEG(___q___) = dy;\
! 850: ___c___ = (UM *)COEF(___q___);\
! 851: for ( ___i___ = 0; ___i___ <= dy; ___i___++ ) {\
! 852: ___c___[___i___] = W_UMALLOC(dx);\
! 853: clearum(___c___[___i___],dx);\
! 854: }\
! 855: (p) = ___q___;\
! 856: }
! 857:
! 858: #define NEWUP2(q,w)\
! 859: ((q)=(UP2)MALLOC_ATOMIC(TRUESIZE(oUP2,(w)-1,unsigned int)),\
! 860: bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
! 861: #define W_NEWUP2(q,w)\
! 862: ((q)=(UP2)ALLOCA(TRUESIZE(oUP2,(w)-1,unsigned int)),\
! 863: bzero((char *)(q)->b,(w)*sizeof(unsigned int)))
! 864: #define W_NEW_UP2(q,w)\
! 865: ((q).b=(unsigned int *)ALLOCA((w)*sizeof(unsigned int)))
! 866:
! 867: /* cell allocators */
! 868: #define NEWZ(q) ((q)=(Z)MALLOC(sizeof(struct oZ)),OID(q)=O_N,NID(q)=N_Q,(q)->z=1,mpz_init((q)->body))
! 869: #define NEWQ(q) ((q)=(Q)MALLOC(sizeof(struct oQ)),OID(q)=O_N,NID(q)=N_Q,(q)->z=0,mpq_init((q)->body))
! 870: #define NEWMQ(q) ((q)=(MQ)MALLOC_ATOMIC(sizeof(struct oMQ)),OID(q)=O_N,NID(q)=N_M)
! 871: #define NEWGFS(q) ((q)=(GFS)MALLOC_ATOMIC(sizeof(struct oGFS)),OID(q)=O_N,NID(q)=N_GFS)
! 872: #define NEWGFSN(q) ((q)=(GFSN)MALLOC(sizeof(struct oGFSN)),OID(q)=O_N,NID(q)=N_GFSN)
! 873: #define NEWP(p) ((p)=(P)MALLOC(sizeof(struct oP)),OID(p)=O_P)
! 874: #define NEWR(r) ((r)=(R)MALLOC(sizeof(struct oR)),OID(r)=O_R,(r)->reduced=0)
! 875: #define NEWLIST(l) ((l)=(LIST)MALLOC(sizeof(struct oLIST)),OID(l)=O_LIST)
! 876: #define NEWVECT(l) ((l)=(VECT)MALLOC(sizeof(struct oVECT)),OID(l)=O_VECT)
! 877: #define NEWSTR(l) ((l)=(STRING)MALLOC(sizeof(struct oSTRING)),OID(l)=O_STR)
! 878: #define NEWCOMP(c,n) ((c)=(COMP)MALLOC(sizeof(struct oCOMP)+((n)-1)*sizeof(Obj)),OID(c)=O_COMP)
! 879: #define NEWDP(d) ((d)=(DP)MALLOC(sizeof(struct oDP)),OID(d)=O_DP)
! 880: #define NEWDPV(d) ((d)=(DPV)MALLOC(sizeof(struct oDPV)),OID(d)=O_DPV)
! 881: #define NEWDPM(d) ((d)=(DPM)MALLOC(sizeof(struct oDPM)),OID(d)=O_DPM)
! 882: #define NEWUSINT(u) ((u)=(USINT)MALLOC_ATOMIC(sizeof(struct oUSINT)),OID(u)=O_USINT)
! 883: #define NEWERR(e) ((e)=(ERR)MALLOC(sizeof(struct oERR)),OID(e)=O_ERR)
! 884: #define NEWMATHCAP(e) ((e)=(MATHCAP)MALLOC(sizeof(struct oMATHCAP)),OID(e)=O_MATHCAP)
! 885: #define NEWBYTEARRAY(e) ((e)=(BYTEARRAY)MALLOC(sizeof(struct oBYTEARRAY)),OID(e)=O_BYTEARRAY)
! 886: #define NEWQUOTE(e) ((e)=(QUOTE)MALLOC(sizeof(struct oQUOTE)),OID(e)=O_QUOTE)
! 887: #define NEWQUOTEARG(e) ((e)=(QUOTEARG)MALLOC(sizeof(struct oQUOTEARG)),OID(e)=O_QUOTEARG)
! 888: #define NEWOPTLIST(l) ((l)=(OPTLIST)MALLOC(sizeof(struct oOPTLIST)),OID(l)=O_OPTLIST)
! 889: #define NEWSYMBOL(l) ((l)=(SYMBOL)MALLOC(sizeof(struct oSYMBOL)),OID(l)=O_SYMBOL)
! 890: #define NEWRANGE(l) ((l)=(RANGE)MALLOC(sizeof(struct oRANGE)),OID(l)=O_RANGE)
! 891: #define NEWTB(l) ((l)=(TB)MALLOC(sizeof(struct oTB)),OID(l)=O_TB,(l)->size=256,(l)->next=0,(l)->body=(char **)MALLOC((l)->size*sizeof(char *)))
! 892:
! 893: #define NEWNODE(a) ((a)=(NODE)MALLOC(sizeof(struct oNODE)))
! 894: #define NEWDC(dc) ((dc)=(DCP)MALLOC(sizeof(struct oDCP)))
! 895: #define NEWV(v) ((v)=(V)MALLOC(sizeof(struct oV)))
! 896: #define NEWVL(vl) ((vl)=(VL)MALLOC(sizeof(struct oVL)))
! 897: #define NEWMP(m) ((m)=(MP)MALLOC(sizeof(struct oMP)))
! 898: #define NEWDMM(m) ((m)=(DMM)MALLOC(sizeof(struct oDMM)))
! 899: #define NEWDLBUCKET(a) ((a)=(DLBUCKET)MALLOC(sizeof(struct oDLBUCKET)))
! 900: #define NEWDPP(a) ((a)=(DP_pairs)MALLOC(sizeof(struct dp_pairs)))
! 901:
! 902: #define NEWMAT(l) ((l)=(MAT)MALLOC(sizeof(struct oMAT)),OID(l)=O_MAT)
! 903: #define NEWGF2MAT(l) ((l)=(GF2MAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GF2MAT)
! 904: #define NEWGFMMAT(l) ((l)=(GFMMAT)MALLOC(sizeof(struct oGF2MAT)),OID(l)=O_GFMMAT)
! 905: /* IMAT */
! 906: #define NEWIMAT(l) ((l)=(IMAT)MALLOC(sizeof(struct oIMAT)),OID(l)=O_IMAT,l->clen=0,l->root=0,l->toor=0)
! 907: #define NEWIENT(l) ((l)=(IMATC)MALLOC(sizeof(struct oIMATC)),l->fore=0,l->next=0)
! 908: /* IMAT */
! 909: #define NEWReal(q) ((q)=(Real)MALLOC_ATOMIC(sizeof(struct oReal)),OID(q)=O_N,NID(q)=N_R)
! 910: #define NEWAlg(r) ((r)=(Alg)MALLOC(sizeof(struct oAlg)),OID(r)=O_N,NID(r)=N_A)
! 911: #define NEWDAlg(r) ((r)=(DAlg)MALLOC(sizeof(struct oDAlg)),OID(r)=O_N,NID(r)=N_DA)
! 912: #define NEWBF(q) ((q)=(BF)MALLOC(sizeof(struct oBF)),OID(q)=O_N,NID(q)=N_B)
! 913: #define NEWPARIBF(q,l) ((q)=(BF)MALLOC_ATOMIC(TRUESIZE(oBF,(l)-1,long)),OID(q)=O_N,NID(q)=N_PARIB)
! 914: #define NEWC(r) ((r)=(C)MALLOC(sizeof(struct oC)),OID(r)=O_N,NID(r)=N_C)
! 915: #define NEWLM(r) ((r)=(LM)MALLOC(sizeof(struct oLM)),OID(r)=O_N,NID(r)=N_LM)
! 916: #define NEWGF2N(r) ((r)=(GF2N)MALLOC(sizeof(struct oGF2N)),OID(r)=O_N,NID(r)=N_GF2N)
! 917: #define NEWGFPN(r) ((r)=(GFPN)MALLOC(sizeof(struct oGFPN)),OID(r)=O_N,NID(r)=N_GFPN)
! 918: #define NEWDL(d,n) \
! 919: ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)),bzero((char *)(d),TRUESIZE(oDL,(n)-1,int)))
! 920: #define NEWDL_NOINIT(d,n) \
! 921: ((d)=(DL)MALLOC_ATOMIC(TRUESIZE(oDL,(n)-1,int)))
! 922:
! 923: #define MKP(v,dc,p) \
! 924: ((!DEG(dc)&&!NEXT(dc))?((p)=COEF(dc)):(NEWP(p),VR(p)=(v),DC(p)=(dc),(p)))
! 925: #define MKV(v,p) \
! 926: (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
! 927: DEG(DC(p))=ONE,COEF(DC(p))=(P)ONE,NEXT(DC(p))=0)
! 928: #define MKRAT(n,d,r,p) \
! 929: (NEWR(p),NM(p)=(n),DN(p)=(d),(p)->reduced=(r))
! 930: #define MKMV(v,p) \
! 931: (NEWP(p),VR(p)=(v),NEWDC(DC(p)),\
! 932: DEG(DC(p))=ONE,COEF(DC(p))=(P)ONEM,NEXT(DC(p))=0)
! 933: #define MKNODE(a,b,c) \
! 934: (NEWNODE(a),(a)->body=(pointer)b,NEXT(a)=(NODE)(c))
! 935: #define MKLIST(a,b) (NEWLIST(a),(a)->body=(NODE)(b))
! 936: #define MKVECT(m,l) \
! 937: (NEWVECT(m),(m)->len=(l),(m)->body=(pointer *)CALLOC((l),sizeof(pointer)))
! 938: #define MKMAT(m,r,c) \
! 939: (NEWMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(pointer **)almat_pointer((r),(c)))
! 940: #define TOGF2MAT(r,c,b,m) (NEWGF2MAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
! 941: #define TOGFMMAT(r,c,b,m) (NEWGFMMAT(m),(m)->row=(r),(m)->col=(c),(m)->body=(b))
! 942: #define MKSTR(a,b) (NEWSTR(a),(a)->body=(char *)(b))
! 943: #define MKDP(n,m,d) (NEWDP(d),(d)->nv=(n),BDY(d)=(m))
! 944: #define MKDPV(len,m,d) (NEWDPV(d),(d)->len=(len),BDY(d)=(m))
! 945: #define MKDPM(n,m,d) (NEWDPM(d),(d)->nv=(n),BDY(d)=(m))
! 946: #define MKLM(b,l) (!(b)?(l)=0:(NEWLM(l),(l)->body[0]=(b)[0],(l)))
! 947: #define MKGF2N(b,l) (!(b)?(l)=0:(NEWGF2N(l),(l)->body=(b),(l)))
! 948: #define MKGFPN(b,l) (!(b)?(l)=0:(NEWGFPN(l),(l)->body=(b),(l)))
! 949: #define MKUSINT(u,b) (NEWUSINT(u),(u)->body=(unsigned)(b))
! 950: #define MKERR(e,b) (NEWERR(e),(e)->body=(Obj)(b))
! 951: #define MKMATHCAP(e,b) (NEWMATHCAP(e),(e)->body=(LIST)(b))
! 952: #define MKBYTEARRAY(m,l) \
! 953: (NEWBYTEARRAY(m),(m)->len=(l),(m)->body=(unsigned char *)MALLOC_ATOMIC((l)),bzero((m)->body,(l)))
! 954: #define MKQUOTE(q,b) (NEWQUOTE(q),(q)->body=(pointer)(b))
! 955: #define MKQUOTEARG(q,t,b) (NEWQUOTEARG(q),(q)->type=(t),(q)->body=(pointer)(b))
! 956:
! 957: #define NEXTDC(r,c) \
! 958: if(!(r)){NEWDC(r);(c)=(r);}else{NEWDC(NEXT(c));(c)=NEXT(c);}
! 959: #define NEXTNODE(r,c) \
! 960: if(!(r)){NEWNODE(r);(c)=(r);}else{NEWNODE(NEXT(c));(c)=NEXT(c);}
! 961: #define NEXTMP(r,c) \
! 962: if(!(r)){NEWMP(r);(c)=(r);}else{NEWMP(NEXT(c));(c)=NEXT(c);}
! 963: #define NEXTMP2(r,c,s) \
! 964: if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
! 965: #define NEXTDLBUCKET(r,c) \
! 966: if(!(r)){NEWDLBUCKET(r);(c)=(r);}else{NEWDLBUCKET(NEXT(c));(c)=NEXT(c);}
! 967: #define NEXTVL(r,c) \
! 968: if(!(r)){NEWVL(r);(c)=(r);}else{NEWVL(NEXT(c));(c)=NEXT(c);}
! 969: #define NEXTDPP(r,c) \
! 970: if(!(r)){NEWDPP(r);(c)=(r);}else{NEWDPP(NEXT(c));(c)=NEXT(c);}
! 971: #define NEXTDMM(r,c) \
! 972: if(!(r)){NEWDMM(r);(c)=(r);}else{NEWDMM(NEXT(c));(c)=NEXT(c);}
! 973:
! 974: /* convertors */
! 975: #define NTOQ(n,s,z) (!(n)?((z)=0):((s)<0?mpz_neg(BDY(n),BDY(n)):0,MPZTOZ(n,z)))
! 976: #define NDTOQ(n,s,q) (!(n)?((q)=0):((s)<0?mpz_neg(BDY(n),BDY(n)):0,MPDNTOQ(n,d,q)))
! 977:
! 978: #define DUPZ(p,q) (NEWZ(q),BDY(q)=BDY(p))
! 979: #define DUPQ(p,q) (NEWQ(q),BDY(q)=BDY(p))
! 980:
! 981: #define STOQ(n,q) ((!(n))?((q)=0):(NEWZ(q),mpz_set_si(BDY(q),n)))
! 982: #define UTOQ(n,q) ((!(n))?((q)=0):(NEWZ(q),mpz_set_ui(BDY(q),n)))
! 983:
! 984: /* for initializing static object */
! 985: #define STOQ0(n,q) (OID(q)=O_N,NID(q)=N_Q,(q)->z=1,mpz_init(BDY(q)),mpz_set_si(BDY(q),n))
! 986: #define STOLM0(n,q) (OID(q)=O_N,NID(q)=N_LM,mpz_init(BDY(q)),mpz_set_si(BDY(q),n))
! 987:
! 988: #define QTOS(q) (!(q)?0:((q)->z==1?mpz_get_si(BDY((Z)q)):(error("QTOS : invalid argument"),0)))
! 989: #define LMTOS(q) (!(q)?0:mpz_get_si(BDY(q)))
! 990:
! 991: #define UTOMQ(a,b) ((a)?(NEWMQ(b),CONT(b)=(unsigned int)(a),(b)):((b)=0))
! 992: #define MKGFS(a,b) ((NEWGFS(b),CONT(b)=(a),(b)))
! 993: #define MKGFSN(a,b) ((DEG(a)>=0)?(NEWGFSN(b),BDY(b)=(a),(b)):((b)=0))
! 994: #define STOMQ(a,b) ((a)?(NEWMQ(b),CONT(b)=(a),(b)):((b)=0))
! 995:
! 996:
! 997: #define PTOR(a,b) (!(a)?((b)=0):(NEWR(b),NM(b)=(a),DN(b)=(P)ONE,(b)->reduced=1,(b)))
! 998:
! 999: #define MKReal(a,b) (!(a)?((b)=0):(NEWReal(b),BDY(b)=(a),(b)))
! 1000: #define MKAlg(b,r) (!(b)?((r)=0):NUM(b)?((r)=(Alg)(b)):(NEWAlg(r),BDY(r)=(Obj)(b),(r)))
! 1001: #define MKDAlg(dp,den,r) (!(dp)?(void *)((r)=0):(void *)(NEWDAlg(r),(r)->nm = (dp),(r)->dn=(den)))
! 1002:
! 1003: #define IMM_MAX 1073741823
! 1004: #define IMM_MIN -1073741823
! 1005:
! 1006: #define SL(n) ((n)->p)
! 1007:
! 1008: #define ToReal(a) (!(a)?(double)0.0:REAL(a)?BDY((Real)a):RATN(a)?RatnToReal((Q)a):BIGFLOAT(a)?mpfrtodbl(BDY((BF)a)):0)
! 1009:
! 1010: /* predicates */
! 1011: #define NUM(p) (OID(p)==O_N)
! 1012: #define RAT(p) (OID(p)==O_R)
! 1013: #define RATN(a) (NID((Num)a)==N_Q)
! 1014: #define POLY(a) (!(a) ||(OID(a)<=O_P))
! 1015: #define INT(q) (!(q)||(NUM(q)&&NID((Num)q)==N_Q&&((Q)q)->z))
! 1016: #define REAL(a) (NID((Num)a)==N_R)
! 1017: #define BIGFLOAT(a) (NID((Num)a)==N_B)
! 1018: #define SFF(a) (NID((Num)a)==N_M)
! 1019: #define UNIZ(q) ((q)&&INT(q)&&mpz_cmp_si((BDY((Z)(q))),1)==0)
! 1020: #define MUNIZ(q) ((q)&&INT(q)&&mpz_cmp_si((BDY((Z)(q))),-1)==0)
! 1021: #define UNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==1))
! 1022: #define MUNIMQ(q) ((q)&&NUM(q)&&SFF(q)&&(CONT((MQ)q)==-1))
! 1023: #define EVENZ(n) ((!(n))||(INT(n)&&mpz_tstbit(((Z)(n))->body,0)==0))
! 1024:
! 1025: /* special macros for private memory management */
! 1026:
! 1027: #define NV(p) ((p)->nv)
! 1028: #define C(p) ((p)->c)
! 1029: #if 0
! 1030: #define ITOS(p) (((unsigned long)(p))&0x7fffffff)
! 1031: #define STOI(i) ((P)((unsigned long)(i)|0x80000000))
! 1032: #else
! 1033: #define ITOS(p) (((unsigned long)(p)))
! 1034: #define STOI(i) ((P)((unsigned long)(i)))
! 1035: #endif
! 1036:
! 1037: /* immediate GFS representation */
! 1038:
! 1039: #define IFTOF(p) ((int)(((unsigned long)(p))&0x7fffffff))
! 1040: #define FTOIF(i) ((int)(((unsigned long)(i)|0x80000000)))
! 1041:
! 1042: struct cdl {
! 1043: Obj c;
! 1044: DL d;
! 1045: };
! 1046:
! 1047: struct cdlm {
! 1048: int c;
! 1049: DL d;
! 1050: };
! 1051:
! 1052: extern MP _mp_free_list;
! 1053: extern DP _dp_free_list;
! 1054: extern DL _dl_free_list;
! 1055: extern int current_dl_length;
! 1056:
! 1057: #define _NEWDL_NOINIT(d,n) if ((n)!= current_dl_length){_dl_free_list=0; current_dl_length=(n);} if(!_dl_free_list)_DL_alloc(); (d)=_dl_free_list; _dl_free_list = *((DL *)_dl_free_list)
! 1058: #define _NEWDL(d,n) if ((n)!= current_dl_length){_dl_free_list=0; current_dl_length=(n);} if(!_dl_free_list)_DL_alloc(); (d)=_dl_free_list; _dl_free_list = *((DL *)_dl_free_list); bzero((d),(((n)+1)*sizeof(int)))
! 1059: #define _NEWMP(m) if(!_mp_free_list)_MP_alloc(); (m)=_mp_free_list; _mp_free_list = NEXT(_mp_free_list)
! 1060: #define _MKDP(n,m,d) if(!_dp_free_list)_DP_alloc(); (d)=_dp_free_list; _dp_free_list = (DP)BDY(_dp_free_list); (d)->id = O_DP; (d)->nv=(n); BDY(d)=(m)
! 1061:
! 1062: #define _NEXTMP(r,c) \
! 1063: if(!(r)){_NEWMP(r);(c)=(r);}else{_NEWMP(NEXT(c));(c)=NEXT(c);}
! 1064:
! 1065: #define _NEXTMP2(r,c,s) \
! 1066: if(!(r)){(c)=(r)=(s);}else{NEXT(c)=(s);(c)=(s);}
! 1067:
! 1068: #define _FREEDL(m) *((DL *)m)=_dl_free_list; _dl_free_list=(m)
! 1069: #define _FREEMP(m) NEXT(m)=_mp_free_list; _mp_free_list=(m)
! 1070: #define _FREEDP(m) BDY(m)=(MP)_dp_free_list; _dp_free_list=(m)
! 1071:
! 1072: #define MUL_WEIGHT(a,i) (current_dl_weight_vector?(a)*current_dl_weight_vector[i]:(a))
! 1073:
! 1074: /* externals */
! 1075: #if 0
! 1076: double NatToReal();
! 1077: double RatnToReal();
! 1078: #endif
! 1079:
! 1080: extern struct oR oUNIR;
! 1081: extern struct oZ oUNIZ;
! 1082: extern struct oMQ oUNIMQ;
! 1083: extern struct oN oUNIN;
! 1084: extern struct oUP2 oONEUP2;
! 1085: extern struct oV oVAR[];
! 1086: extern struct oV oPVAR[];
! 1087: extern struct oVL oVLIST[];
! 1088: extern struct oVL oPVLIST[];
! 1089: extern VL CO,ALG,LASTCO;
! 1090: extern VL PVL;
! 1091: extern R ONER;
! 1092: extern Z ONE;
! 1093: extern Z TWO;
! 1094: extern MQ ONEM;
! 1095: extern LM ONELM;
! 1096: extern UP2 ONEUP2;
! 1097: extern mpz_t ONEMPZ;
! 1098:
! 1099: extern FILE *asir_out;
! 1100: #if defined(__GNUC__)
! 1101: extern const int sprime[];
! 1102: #else
! 1103: extern int sprime[];
! 1104: #endif
! 1105:
! 1106: extern void (*addnumt[])();
! 1107: extern void (*subnumt[])();
! 1108: extern void (*mulnumt[])();
! 1109: extern void (*divnumt[])();
! 1110: extern void (*pwrnumt[])();
! 1111: extern int (*cmpnumt[])();
! 1112: extern void (*chsgnnumt[])();
! 1113:
! 1114: extern int current_mod;
! 1115: extern GEN_UP2 current_mod_gf2n;
! 1116: extern int lm_lazy;
! 1117: extern int current_ff;
! 1118: extern V up_var;
! 1119: extern V up2_var;
! 1120: extern P current_gfs_ext;
! 1121: extern int current_gfs_p;
! 1122: extern int current_gfs_q;
! 1123: extern int current_gfs_q1;
! 1124: extern int *current_gfs_plus1;
! 1125: extern int *current_gfs_ntoi;
! 1126: extern int *current_gfs_iton;
! 1127:
! 1128: extern int *current_dl_weight_vector;
! 1129:
! 1130: /* prototypes */
! 1131: int compui(VL,USINT,USINT);
! 1132: int compbytearray(VL,BYTEARRAY,BYTEARRAY);
! 1133:
! 1134: void powermodup(UP,UP *);
! 1135: void hybrid_powermodup(UP,UP *);
! 1136:
! 1137: void powertabup(UP,UP,UP *);
! 1138: void hybrid_powertabup(UP,UP,UP *);
! 1139:
! 1140: void powermod1up(UP,UP *);
! 1141: void hybrid_rembymulup_special(int,UP,UP,UP,UP *);
! 1142: void hybrid_tmulup(int,UP,UP,int,UP *);
! 1143: void hybrid_squareup(int,UP,UP *);
! 1144: void hybrid_mulup(int,UP,UP,UP *);
! 1145:
! 1146: int cmpdl_composite(int,DL,DL);
! 1147: int cmpdl_matrix(int,DL,DL);
! 1148: int cmpdl_order_pair(int,DL,DL);
! 1149: int cmpdl_elim(int,DL,DL);
! 1150: int cmpdl_blexrev(int,DL,DL);
! 1151: int cmpdl_bgradrev(int,DL,DL);
! 1152: int cmpdl_brevrev(int,DL,DL);
! 1153: int cmpdl_brevgradlex(int,DL,DL);
! 1154: int cmpdl_bgradlex(int,DL,DL);
! 1155: int cmpdl_blex(int,DL,DL);
! 1156: int cmpdl_revgradlex(int,DL,DL);
! 1157: int cmpdl_gradlex(int,DL,DL);
! 1158: int cmpdl_revlex(int,DL,DL);
! 1159: int cmpdl_lex(int,DL,DL);
! 1160:
! 1161: void adddv(VL,DPV,DPV,DPV *);
! 1162: void subdv(VL,DPV,DPV,DPV *);
! 1163: void muldv(VL,DP,DPV,DPV *);
! 1164: void chsgndv(DPV,DPV *);
! 1165: int compdv(VL,DPV,DPV);
! 1166:
! 1167: void adddpm(VL,DPM,DPM,DPM *);
! 1168: void subdpm(VL,DPM,DPM,DPM *);
! 1169: void mulobjdpm(VL,Obj,DPM,DPM *);
! 1170: void chsgndpm(DPM,DPM *);
! 1171: int compdpm(VL,DPM,DPM);
! 1172:
! 1173: void _printdp(DP);
! 1174: void _dp_sp_mod(DP,DP,int,DP *);
! 1175: void _dp_mod(DP,int,NODE,DP *);
! 1176: void _dp_red_mod(DP,DP,int,DP *);
! 1177: void _dtop_mod(VL,VL,DP,P *);
! 1178: void _mulmdm(VL,int,DP,MP,DP *);
! 1179: void _mulmd(VL,int,DP,DP,DP *);
! 1180: void _chsgnmd(int,DP,DP *);
! 1181: void _submd(VL,int,DP,DP,DP *);
! 1182: void _addmd(VL,int,DP,DP,DP *);
! 1183: void _mdtop(VL,int,VL,DP,P *);
! 1184: void divsmdc(VL,int,DP,P,DP *);
! 1185: void mulmdc(VL,int,DP,P,DP *);
! 1186: void mulmdm(VL,int,DP,MP,DP *);
! 1187: void mulmd(VL,int,DP,DP,DP *);
! 1188: void chsgnmd(int,DP,DP *);
! 1189: void submd(VL,int,DP,DP,DP *);
! 1190: void addmd(VL,int,DP,DP,DP *);
! 1191: void mdtop(VL,int,VL,DP,P *);
! 1192: void mptomd(VL,int,VL,P,DP *);
! 1193: void ptomd(VL,int,VL,P,DP *);
! 1194: int p_mag(P);
! 1195: int z_bits(Q);
! 1196: void rtime_init(void);
! 1197: void setmod_gf2n(P);
! 1198: void mt_sgenrand(unsigned long);
! 1199: unsigned long mt_genrand(void);
! 1200: #if defined(VISUAL) || defined(__MINGW32__)
! 1201: void srandom(unsigned int);
! 1202: unsigned int random(void);
! 1203: #endif
! 1204: void GC_free(void *);
! 1205: void FFT_primes(int,int *,int *,int *);
! 1206: int FFT_pol_product(unsigned int,unsigned int *, unsigned int,unsigned int *,
! 1207: unsigned int *,int,unsigned int *);
! 1208: int FFT_pol_square(unsigned int,unsigned int *,
! 1209: unsigned int *,int,unsigned int *);
! 1210: void dcptolist(DCP,LIST *);
! 1211: void gcdprsmp(VL,int,P,P,P *);
! 1212: void mult_mod_tab(UM,int,UM *,UM,int);
! 1213: int nfctr_mod(UM,int);
! 1214: int irred_check(UM,int);
! 1215: void modfctrp(P,int,int,DCP *);
! 1216: void pf_init(void);
! 1217: void ptolmp(P,P *);
! 1218: void lmptop(P,P *);
! 1219: void ulmptoum(int,UP,UM);
! 1220: void objtobobj(int,Obj,Obj *);
! 1221: void bobjtoobj(int,Obj,Obj *);
! 1222: void numtobnum(int,Num,Num *);
! 1223: void bnumtonum(int,Num,Num *);
! 1224: void ptobp(int,P,P *);
! 1225: void bptop(int,P,P *);
! 1226: void listtoblist(int,LIST,LIST *);
! 1227: void blisttolist(int,LIST,LIST *);
! 1228: void vecttobvect(int,VECT,VECT *);
! 1229: void bvecttovect(int,VECT,VECT *);
! 1230: void mattobmat(int,MAT,MAT *);
! 1231: void bmattomat(int,MAT,MAT *);
! 1232: void kmulum(int,UM,UM,UM);
! 1233: void saveobj(FILE *,Obj);
! 1234: void endian_init(void);
! 1235: void write_char(FILE *,unsigned char *);
! 1236: void write_short(FILE *,unsigned short *);
! 1237: void write_int(FILE *,unsigned int *);
! 1238: void write_double(FILE *,double *);
! 1239: void write_intarray(FILE *,unsigned int *,int);
! 1240: void write_string(FILE *,unsigned char *,int);
! 1241: void savestr(FILE *,char *);
! 1242: void loadstr(FILE *,char **);
! 1243: void savevl(FILE *,VL);
! 1244: void loadvl(FILE *);
! 1245: void skipvl(FILE *);
! 1246: void savev(FILE *,V);
! 1247: void loadv(FILE *,V *);
! 1248: int save_convv(V);
! 1249: V load_convv(int);
! 1250: void swap_bytes(char *,int,int);
! 1251: void read_char(FILE *,unsigned char *);
! 1252: void read_short(FILE *,unsigned short *);
! 1253: void read_int(FILE *,unsigned int *);
! 1254: void read_double(FILE *,double *);
! 1255: void read_intarray(FILE *,unsigned int *,int);
! 1256: void read_string(FILE *,unsigned char *,int);
! 1257: void loadobj(FILE *,Obj *);
! 1258: void invum(int,UM,UM,UM);
! 1259: void addarray_to(unsigned int *,int,unsigned int *,int);
! 1260: void muln_1(unsigned int *,int,unsigned int,unsigned int *);
! 1261: unsigned int divn_1(unsigned int *,int,unsigned int,unsigned int *);
! 1262: void ptoup(P,UP *);
! 1263: void uptop(UP,P *);
! 1264: void printnum(Num);
! 1265: void printv(VL,V);
! 1266: void kmulq(Q,Q,Q *);
! 1267: void simplm(LM,LM *);
! 1268: void qtolm(Q,LM *);
! 1269: int qpcheck(Obj);
! 1270: int headsgn(P);
! 1271: void adjsgn(P,DCP);
! 1272: void setmod_g2n(P);
! 1273: void simpgf2n(GF2N,GF2N *);
! 1274: void ptogf2n(Obj,GF2N *);
! 1275: void gf2ntop(GF2N,P *);
! 1276: void gf2ntovect(GF2N,VECT *);
! 1277: void squaregf2n(GF2N,GF2N *);
! 1278: void randomgf2n(GF2N *);
! 1279: void invgf2n(GF2N,GF2N *);
! 1280: int qcoefp(Obj);
! 1281: int qcoefr(Obj);
! 1282: size_t get_allocwords(void);
! 1283: double get_clock(void);
! 1284: void get_eg(struct oEGT *);
! 1285: void printtime(struct oEGT *,struct oEGT *,double);
! 1286: void init_eg(struct oEGT *);
! 1287: void add_eg(struct oEGT *,struct oEGT *,struct oEGT *);
! 1288: void print_eg(char *,struct oEGT *);
! 1289: void print_split_eg(struct oEGT *,struct oEGT *);
! 1290: void print_split_e(struct oEGT *,struct oEGT *);
! 1291: void suspend_timer(void);
! 1292: void resume_timer(void);
! 1293: void reset_engine(void);
! 1294: void notdef(VL,Obj,Obj,Obj *);
! 1295: void error(char *);
! 1296: void ptoup2(P,UP2 *);
! 1297: void ptoup2_sparse(P,UP2 *);
! 1298: void up2top(UP2,P *);
! 1299: void up2tovect(UP2,VECT *);
! 1300: void up2toz(UP2,Z *);
! 1301: void ztoup2(Z,UP2 *);
! 1302: void gen_simpup2(UP2,GEN_UP2,UP2 *);
! 1303: void gen_simpup2_destructive(UP2,GEN_UP2);
! 1304: void gen_invup2(UP2,GEN_UP2,UP2 *);
! 1305: void simpup2(UP2,UP2,UP2 *);
! 1306: int degup2(UP2);
! 1307: int degup2_sparse(UP2);
! 1308: int degup2_1(unsigned int);
! 1309: void addup2(UP2,UP2,UP2 *);
! 1310: void subup2(UP2,UP2,UP2 *);
! 1311: void mulup2_n1(unsigned int *,int,unsigned int,unsigned int *);
! 1312: void mulup2_nh(unsigned int *,int,unsigned int,unsigned int *);
! 1313: void _mulup2_1(UP2,unsigned int,UP2);
! 1314: void _mulup2_h(UP2,unsigned int,UP2);
! 1315: void mulup2(UP2,UP2,UP2 *);
! 1316: void _kmulup2_(unsigned int *,unsigned int *,int,unsigned int *);
! 1317: void _mulup2_nn(unsigned int *,unsigned int *,int,unsigned int *);
! 1318: void _mulup2(UP2,UP2,UP2);
! 1319: void _mulup2_(_UP2,_UP2,_UP2);
! 1320: void squareup2(UP2,UP2 *);
! 1321: void _adjup2(UP2);
! 1322: void _adjup2_(_UP2);
! 1323: void _addup2(UP2,UP2,UP2);
! 1324: void _addup2_destructive(UP2,UP2);
! 1325: void _addup2_(_UP2,_UP2,_UP2);
! 1326: void _addtoup2_(_UP2,_UP2);
! 1327: unsigned int mulup2_bb(unsigned int,unsigned int);
! 1328: void init_up2_tab(void);
! 1329: unsigned int quoup2_11(unsigned int,unsigned int);
! 1330: void divup2_1(unsigned int,unsigned int,int,int,unsigned int *,unsigned int *);
! 1331: void qrup2(UP2,UP2,UP2 *,UP2 *);
! 1332: void _qrup2(UP2,UP2,UP2,UP2);
! 1333: void remup2(UP2,UP2,UP2 *);
! 1334: void _remup2(UP2,UP2,UP2);
! 1335: void remup2_sparse(UP2,UP2,UP2 *);
! 1336: void remup2_sparse_destructive(UP2,UP2);
! 1337: void remup2_type1_destructive(UP2,int);
! 1338: void remup2_3_destructive(UP2,UP2);
! 1339: void remup2_5_destructive(UP2,UP2);
! 1340: void _invup2_1(unsigned int,unsigned int,unsigned int *,unsigned int *);
! 1341: void _gcdup2_1(unsigned int,unsigned int,unsigned int *);
! 1342: void up2_init_eg(void);
! 1343: void up2_show_eg(void);
! 1344: void invup2(UP2,UP2,UP2 *);
! 1345: void gcdup2(UP2,UP2,UP2 *);
! 1346: void chsgnup2(UP2,UP2 *);
! 1347: void pwrmodup2(UP2,Z,UP2,UP2 *);
! 1348: void pwrmodup2_sparse(UP2,Z,UP2,UP2 *);
! 1349: int compup2(UP2,UP2);
! 1350: void printup2(UP2);
! 1351: void _copyup2(UP2,UP2);
! 1352: void _bshiftup2(UP2,int,UP2);
! 1353: void _bshiftup2_destructive(UP2,int);
! 1354: void diffup2(UP2,UP2 *);
! 1355: int sqfrcheckup2(UP2);
! 1356: int irredcheckup2(UP2);
! 1357: int irredcheck_dddup2(UP2);
! 1358: void _copy_up2bits(UP2,unsigned int **,int);
! 1359: void _print_frobmat(unsigned int **,int,int);
! 1360: int compute_multiplication_matrix(P,GF2MAT *);
! 1361: void compute_change_of_basis_matrix(P,P,int,GF2MAT *,GF2MAT *);
! 1362: int compute_representation_conversion_matrix(P,GF2MAT *,GF2MAT *);
! 1363: void mul_nb(GF2MAT,unsigned int *,unsigned int *,unsigned int *);
! 1364: void leftshift(unsigned int *,int);
! 1365: void mat_to_gf2mat(MAT,unsigned int ***);
! 1366: void gf2mat_to_mat(unsigned int **,int,MAT *);
! 1367: void mulgf2mat(int,unsigned int **,unsigned int **,unsigned int **);
! 1368: void mulgf2vectmat(int,unsigned int *,unsigned int **,unsigned int *);
! 1369: int mulgf2vectvect(int,unsigned int *,unsigned int *);
! 1370: int invgf2mat(int,unsigned int **,unsigned int **);
! 1371: void _mulup2_11(unsigned int,unsigned int,unsigned int *);
! 1372: void _mulup2_22(unsigned int *,unsigned int *,unsigned int *);
! 1373: void _mulup2_33(unsigned int *,unsigned int *,unsigned int *);
! 1374: void _mulup2_44(unsigned int *,unsigned int *,unsigned int *);
! 1375: void _mulup2_55(unsigned int *,unsigned int *,unsigned int *);
! 1376: void _mulup2_66(unsigned int *,unsigned int *,unsigned int *);
! 1377: void printup2_(unsigned int *,int);
! 1378: void type1_bin_invup2(UP2,int,UP2 *);
! 1379: int int_bits(int);
! 1380:
! 1381:
! 1382: LUM LUMALLOC(int, int);
! 1383: BM BMALLOC(int, int);
! 1384: Obj ToAlg(Num);
! 1385: UM *berlemain(register int, UM, UM *);
! 1386: void Risa_GC_set_adj(int,int);
! 1387: void Risa_GC_get_adj(int *,int *);
! 1388: void *Risa_GC_malloc(size_t);
! 1389: void *Risa_GC_malloc_atomic(size_t);
! 1390: void *Risa_GC_realloc(void *,size_t);
! 1391: void Risa_GC_free(void *);
! 1392: void *Risa_GC_malloc_atomic_ignore_off_page(size_t);
! 1393: void *GC_malloc(size_t);
! 1394: void *GC_malloc_atomic(size_t);
! 1395: void *GC_realloc(void *,size_t);
! 1396: double RatnToReal(Q);
! 1397: double pwrreal0(double,int);
! 1398: double rtodbl(); /* XXX */
! 1399: double mpfrtodbl(mpfr_t a);
! 1400: int **almat(int,int);
! 1401: pointer **almat_pointer(int,int);
! 1402: int berlecnt(register int,UM);
! 1403: int berlecntmain(register int,int,int,register int **);
! 1404: int cmpalg(Num,Num);
! 1405: int cmpbf(Num,Num);
! 1406: int cmpcplx(Num,Num);
! 1407: int cmpq(Q,Q);
! 1408: int cmpreal(Real,Real);
! 1409: int cmpmi(MQ,MQ);
! 1410: int cmplm(LM,LM);
! 1411: int compmat(VL,MAT,MAT);
! 1412: int compnum(VL,Num,Num);
! 1413: int compp(VL,P,P);
! 1414: int compr(VL,Obj,Obj);
! 1415: int equalp(VL,P,P);
! 1416: int equalr(VL,Obj,Obj);
! 1417: int compstr(VL,STRING,STRING);
! 1418: int compvect(VL,VECT,VECT);
! 1419: int ctest(P,ML,int,int *);
! 1420: int cycchk(P);
! 1421: int dbound(V,P);
! 1422: int dcomp(P,P);
! 1423: int deg(V,P);
! 1424: int degtest(int,int *,ML,int);
! 1425: int divcheck(VL,P *,int,P,P);
! 1426: int divtdcpz(VL,P,P,P *);
! 1427: int divtpz(VL,P,P,P *);
! 1428: int divum(register int,UM,UM,UM);
! 1429: int dm(int,int,int *);
! 1430: int dmb(int,int,int,int *);
! 1431: int dma(int,int,int,int *);
! 1432: int dmab(int,int,int,int,int *);
! 1433: int dmar(int,int,int,int);
! 1434: int dtestmain(P,Q,ML,int,int *,P *,P *);
! 1435: int geldb(VL,P);
! 1436: int getchomdeg(V,P);
! 1437: int getdeg(V,P);
! 1438: int getlchomdeg(V,P,int *);
! 1439: int get_lprime(int);
! 1440: int homdeg(P);
! 1441: unsigned int invm(unsigned int,int);
! 1442: int iscycm(P);
! 1443: int iscycp(P);
! 1444: int lengthp(P);
! 1445: int mig(int,int,P);
! 1446: int mignotte(int,P);
! 1447: int minimain(register int,int,int,register int **);
! 1448: int ncombi(int,int,int,int *);
! 1449: int nextbin(VN,int);
! 1450: int nmonop(P);
! 1451: int pcoef(VL,VL,P,P *);
! 1452: int pcoef0(VL,VL,P,P *);
! 1453: unsigned int pwrm(register int,register int,int);
! 1454: int sqfrchk(P);
! 1455: int ucmpp(P,P);
! 1456: int valideval(VL,DCP,VN);
! 1457: int zerovpchk(VL,P,VN);
! 1458:
! 1459: void addgf2n(GF2N,GF2N,GF2N *);
! 1460: void subgf2n(GF2N,GF2N,GF2N *);
! 1461: void mulgf2n(GF2N,GF2N,GF2N *);
! 1462: void divgf2n(GF2N,GF2N,GF2N *);
! 1463: void chsgngf2n(GF2N,GF2N *);
! 1464: void pwrgf2n(GF2N,Z, GF2N *);
! 1465: int cmpgf2n(GF2N,GF2N);
! 1466:
! 1467: void addgfpn(GFPN,GFPN,GFPN *);
! 1468: void subgfpn(GFPN,GFPN,GFPN *);
! 1469: void mulgfpn(GFPN,GFPN,GFPN *);
! 1470: void divgfpn(GFPN,GFPN,GFPN *);
! 1471: void chsgngfpn(GFPN,GFPN *);
! 1472: void pwrgfpn(GFPN,Z, GFPN *);
! 1473: int cmpgfpn(GFPN,GFPN);
! 1474:
! 1475: void addgfs(GFS,GFS,GFS *);
! 1476: void subgfs(GFS,GFS,GFS *);
! 1477: void mulgfs(GFS,GFS,GFS *);
! 1478: void divgfs(GFS,GFS,GFS *);
! 1479: void chsgngfs(GFS,GFS *);
! 1480: void pwrgfs(GFS,Z, GFS *);
! 1481: int cmpgfs(GFS,GFS);
! 1482:
! 1483: void addgfsn(GFSN,GFSN,GFSN *);
! 1484: void subgfsn(GFSN,GFSN,GFSN *);
! 1485: void mulgfsn(GFSN,GFSN,GFSN *);
! 1486: void divgfsn(GFSN,GFSN,GFSN *);
! 1487: void chsgngfsn(GFSN,GFSN *);
! 1488: int cmpgfsn(GFSN,GFSN);
! 1489:
! 1490: void adddalg(DAlg,DAlg,DAlg *);
! 1491: void subdalg(DAlg,DAlg,DAlg *);
! 1492: void muldalg(DAlg,DAlg,DAlg *);
! 1493: void divdalg(DAlg,DAlg,DAlg *);
! 1494: void chsgndalg(DAlg,DAlg *);
! 1495: void pwrdalg(DAlg,Z, DAlg *);
! 1496: int cmpdalg(DAlg,DAlg);
! 1497:
! 1498: void addalg(Num,Num,Num *);
! 1499: void addbf(Num,Num,Num *);
! 1500: void addcplx(Num,Num,Num *);
! 1501: void addmat(VL,MAT,MAT,MAT *);
! 1502: void addmp(VL,int,P,P,P *);
! 1503: void addmpq(int,P,P,P *);
! 1504: void addmptoc(VL,int,P,P,P *);
! 1505: void addmq(int,MQ,MQ,MQ *);
! 1506: void addnum(VL,Num,Num,Num *);
! 1507: void addp(VL,P,P,P *);
! 1508: void addpadic(int,int,unsigned int *,unsigned int *);
! 1509: void addpq(P,P,P *);
! 1510: void addptoc(VL,P,P,P *);
! 1511: void addr(VL,Obj,Obj,Obj *);
! 1512: void addreal(Num,Num,Real *);
! 1513: void addmi(MQ,MQ,MQ *);
! 1514: void addlm(LM,LM,LM *);
! 1515: void addstr(VL,STRING,STRING,STRING *);
! 1516: void addum(int,UM,UM,UM);
! 1517: void addvect(VL,VECT,VECT,VECT *);
! 1518: void addquote(VL,QUOTE,QUOTE,QUOTE *);
! 1519: void afctr(VL,P,P,DCP *);
! 1520: void afctrmain(VL,P,P,int,DCP *);
! 1521: void affine(VL,P,VN,P *);
! 1522: void affinemain(VL,P,V,int,P *,P *);
! 1523: void berle(int,int,P,ML *);
! 1524: void cbound(VL,P,Q *);
! 1525: void chnrem(int,V,P,Z,UM,P *,Z *);
! 1526: void chnremp(VL,int,P,Z,P,P *);
! 1527: void chsgnalg(Num,Num *);
! 1528: void chsgnbf(Num a,Num *);
! 1529: void chsgncplx(Num,Num *);
! 1530: void chsgnmat(MAT,MAT *);
! 1531: void chsgnmp(int,P,P *);
! 1532: void chsgnnum(Num,Num *);
! 1533: void chsgnp(P,P *);
! 1534: void chsgnq(Q,Q *);
! 1535: void chsgnr(Obj,Obj *);
! 1536: void chsgnreal(Num,Num *);
! 1537: void chsgnmi(MQ,MQ *);
! 1538: void chsgnlm(LM,LM *);
! 1539: void chsgnvect(VECT,VECT *);
! 1540: void chsgnquote(QUOTE,QUOTE *);
! 1541: void clctv(VL,P,VL *);
! 1542: void clctvr(VL,Obj,VL *);
! 1543: void cm2p(Z,Z,P,P *);
! 1544: void cmax(P,Q *);
! 1545: void cmp(Z,P,P *);
! 1546: void coefp(P,int,P *);
! 1547: void cpylum(int,LUM,LUM);
! 1548: void cpyum(UM,UM);
! 1549: void csump(VL,P,Q *);
! 1550: void cycm(V,register int,DCP *);
! 1551: void cycp(V,register int,DCP *);
! 1552: void degp(V,P,Z *);
! 1553: void degum(UM,int);
! 1554: void detmp(VL,int,P **,int,P *);
! 1555: void detp(VL,P **,int,P *);
! 1556: void diffp(VL,P,V,P *);
! 1557: void diffum(register int,UM,UM);
! 1558: void divalg(Num,Num,Num *);
! 1559: void divbf(Num,Num,Num *);
! 1560: void divcp(P,Q,P *);
! 1561: void divcplx(Num,Num,Num *);
! 1562: void divmat(VL,Obj,Obj,Obj *);
! 1563: void divmq(int,MQ,MQ,MQ *);
! 1564: void divnum(VL,Num,Num,Num *);
! 1565: void divr(VL,Obj,Obj,Obj *);
! 1566: void divreal(Num,Num,Real *);
! 1567: void divmi(MQ,MQ,MQ *);
! 1568: void divlm(LM,LM,LM *);
! 1569: void divsdcmp(VL,int,P,P,P *);
! 1570: void divsdcp(VL,P,P,P *);
! 1571: void divsmp(VL,int,P,P,P *);
! 1572: void divsp(VL,P,P,P *);
! 1573: void divsrdcmp(VL,int,P,P,P *,P *);
! 1574: void divsrdcp(VL,P,P,P *,P *);
! 1575: void divsrmp(VL,int,P,P,P *,P *);
! 1576: void divsrp(VL,P,P,P *,P *);
! 1577: void divvect(VL,Obj,Obj,Obj *);
! 1578: void divquote(VL,QUOTE,QUOTE,QUOTE *);
! 1579: void dtest(P,ML,int,DCP *);
! 1580: void dtestroot(int,int,P,LUM,struct oDUM *,DCP *);
! 1581: void dtestroot1(int,int,P,LUM,P *);
! 1582: void dtestsq(int,int,P,LUM,P *);
! 1583: void dtestsql(P,ML,struct oDUM *,DCP *);
! 1584: void ediffp(VL,P,V,P *);
! 1585: void eucum(register int,UM,UM,UM,UM);
! 1586: void exthp(VL,P,int,P *);
! 1587: void exthpc(VL,V,P,int,P *);
! 1588: void ezgcd1p(VL,P,P,P *);
! 1589: void ezgcdhensel(P,int,UM,UM,ML *);
! 1590: void ezgcdnp(VL,P,P *,int,P *);
! 1591: void ezgcdnpp(VL,DCP,P *,int,P *);
! 1592: void ezgcdnpz(VL,P *,int,P *);
! 1593: void ezgcdp(VL,P,P,P *);
! 1594: void ezgcdpp(VL,DCP,P,P *);
! 1595: void ezgcdpz(VL,P,P,P *);
! 1596: void fctrp(VL,P,DCP *);
! 1597: void fctrwithmvp(VL,P,V,DCP *);
! 1598: void gcda(VL,P,P,P,P *);
! 1599: void gcdcp(VL,P,P *);
! 1600: void gcdgen(P,ML,ML *);
! 1601: void gcdmonomial(VL,DCP *,int,P *);
! 1602: void gcdprsp(VL,P,P,P *);
! 1603: void gcdum(register int,UM,UM,UM);
! 1604: void getmindeg(V,P,Z *);
! 1605: void henmain(LUM,ML,ML,ML *);
! 1606: void henprep(P,ML,ML,ML *,ML *);
! 1607: void hensel(int,int,P,ML *);
! 1608: void hsq(int,int,P,int *,DCP *);
! 1609: void intersectv(VL,VL,VL *);
! 1610: void invl(Q,Q,Q *);
! 1611: void invmq(int,MQ,MQ *);
! 1612: void invq(Q,Q *);
! 1613: void lgp(P,Z *,Z *);
! 1614: void lumtop(V,int,int,LUM,P *);
! 1615: void lumtop_unsigned(V v,int mod,int bound,LUM f,P *g);
! 1616: void markv(VN,int,P);
! 1617: void maxdegp(VL,P,VL *,P *);
! 1618: void mergev(VL,VL,VL,VL *);
! 1619: void mfctr(VL,P,DCP *);
! 1620: void mfctrhen2(VL,VN,P,P,P,P,P,P,P *);
! 1621: void mfctrmain(VL,P,DCP *);
! 1622: void mfctrwithmv(VL,P,V,DCP *);
! 1623: void min_common_vars_in_coefp(VL,P,VL *,P *);
! 1624: void minchdegp(VL,P,VL *,P *);
! 1625: void mindegp(VL,P,VL *,P *);
! 1626: void mini(register int,UM,UM);
! 1627: void minlcdegp(VL,P,VL *,P *);
! 1628: void mkbcm(int,int,MQ *);
! 1629: void mkssum(V,int,int,int,P *);
! 1630: void monomialfctr(VL,P,P *,DCP *);
! 1631: void mptop(P,P *);
! 1632: void mptoum(P,UM);
! 1633: void msqfr(VL,P,DCP *);
! 1634: void msqfrmain(VL,P,DCP *);
! 1635: void msqfrmainmain(VL,P,VN,P,DCP,DCP *,P *);
! 1636: void mulalg(Num,Num,Num *);
! 1637: void mulbf(Num,Num,Num *);
! 1638: void mulcplx(Num,Num,Num *);
! 1639: void mullum(int,int,LUM,LUM,LUM);
! 1640: void mullumarray(P,ML,int,int *,P *);
! 1641: void mulmat(VL,Obj,Obj,Obj *);
! 1642: void mulmatmat(VL,MAT,MAT,MAT *);
! 1643: void mulmatvect(VL,MAT,VECT,VECT *);
! 1644: void mulmp(VL,int,P,P,P *);
! 1645: void mulmpc(VL,int,P,P,P *);
! 1646: void mulmpq(int,P,P,P *);
! 1647: void mulmq(int,MQ,MQ,MQ *);
! 1648: void mulnum(VL,Num,Num,Num *);
! 1649: void mulp(VL,P,P,P *);
! 1650: void mulpadic(int,int,unsigned int *,unsigned int *,unsigned int *);
! 1651: void mulpc(VL,P,P,P *);
! 1652: void mulpq(P,P,P *);
! 1653: void mulr(VL,Obj,Obj,Obj *);
! 1654: void mulreal(Num,Num,Real *);
! 1655: void mulmi(MQ,MQ,MQ *);
! 1656: void mullm(LM,LM,LM *);
! 1657: void mulrmat(VL,Obj,MAT,MAT *);
! 1658: void mulrvect(VL,Obj,VECT,VECT *);
! 1659: void mulsgn(VN,VN,int,VN);
! 1660: void mulsum(register int,UM,register int,UM);
! 1661: void mulum(register int,UM,UM,UM);
! 1662: void mulvect(VL,Obj,Obj,Obj *);
! 1663: void mulquote(VL,QUOTE,QUOTE,QUOTE *);
! 1664: void mulvectmat(VL,VECT,MAT,VECT *);
! 1665: void next(VN);
! 1666: void nezgcdnp_sqfr_primitive(VL,P,P *,int,P *);
! 1667: void nezgcdnpp(VL,DCP,P *,int,P *);
! 1668: void nezgcdnpz(VL,P *,int,P *);
! 1669: void nezgcdnpzmain(VL,P *,int,P *);
! 1670: void nglob_init(void);
! 1671: void norm(P,Q *);
! 1672: void norm1(P,P *);
! 1673: void norm1c(P,Q *);
! 1674: void normalizemp(int,P);
! 1675: void nthrootz(Z,int,Z *);
! 1676: int ztonadic(int,Z,unsigned int **);
! 1677: void nuezgcdnpzmain(VL,P *,int,P *);
! 1678: void padictoq(int,int,int *,Z *);
! 1679: void padictoq_unsigned(int,int,int *,Z *);
! 1680: void risa_pari_init(void);
! 1681: void pcp(VL,P,P *,P *);
! 1682: void pderivr(VL,Obj,V,Obj *);
! 1683: void pdiva(VL,P,P,P,P *);
! 1684: void pinva(P,P,P *);
! 1685: void plisttop(P *,V,int,P *);
! 1686: void pmonic(VL,P,P,P *);
! 1687: void pqra(VL,P,P,P,P *,P *);
! 1688: void premmp(VL,int,P,P,P *);
! 1689: void premp(VL,P,P,P *);
! 1690: void ptolum(int,int,P,LUM);
! 1691: void ptomp(int,P,P *);
! 1692: void ptoum(int,P,UM);
! 1693: void ptozp(P,int,Q *,P *);
! 1694: void ptozp0(P,P *);
! 1695: void pwralg(Num,Num,Num *);
! 1696: void pwrbf(Num,Num,Num *);
! 1697: void pwrcplx(Num,Num,Num *);
! 1698: void pwrcplx0(Num,int,Num *);
! 1699: void pwrlum(int,int,LUM,int,LUM);
! 1700: void pwrmat(VL,MAT,Obj,MAT *);
! 1701: void pwrmatmain(VL,MAT,int,MAT *);
! 1702: void pwrmp(VL,int,P,Z,P *);
! 1703: void pwrmq(int,MQ,Q,MQ *);
! 1704: void pwrnum(VL,Num,Num,Num *);
! 1705: void pwrp(VL,P,Z,P *);
! 1706: void pwrq(Q,Q,Q *);
! 1707: void pwrr(VL,Obj,Obj,Obj *);
! 1708: void pwrquote(VL,QUOTE,QUOTE,QUOTE *);
! 1709: void pwrreal(Num,Num,Real *);
! 1710: void pwrmi(MQ,Q,MQ *);
! 1711: void pwrum(int,UM,int,UM);
! 1712: void asir_reallocarray(char **,int *,int *,int);
! 1713: void reductr(VL,Obj,Obj *);
! 1714: void reimtocplx(Num,Num,Num *);
! 1715: void rema(VL,P,P,P,P *);
! 1716: void remq(Q,Q,Q *);
! 1717: void remsdcp(VL,P,P,P *);
! 1718: void reordermp(VL,int,VL,P,P *);
! 1719: void reorderp(VL,VL,P,P *);
! 1720: void reordvar(VL,V,VL *);
! 1721: void res_ch_det(VL,V,P,P,P *);
! 1722: void res_detmp(VL,int,V,P,P,P *);
! 1723: void restore(VL,P,VN,P *);
! 1724: void resultmp(VL,int,V,P,P,P *);
! 1725: void resultp(VL,V,P,P,P *);
! 1726: void setlum(int,int,LUM);
! 1727: void sort_by_deg(int,P *,P *);
! 1728: void sort_by_deg_rev(int,P *,P *);
! 1729: void sortfs(DCP *);
! 1730: void sortfsrev(DCP *);
! 1731: void sortplist(P *,int);
! 1732: void sortplistbyhomdeg(P *,int);
! 1733: void sprs(VL,V,P,P,P *);
! 1734: void sqa(VL,P,P,DCP *);
! 1735: void sqfrp(VL,P,DCP *);
! 1736: void sqfrum(int,int,P,int *,struct oDUM **,ML *);
! 1737: void sqfrummain(int,UM,UM,struct oDUM **);
! 1738: void sqrtz(Z,Z *);
! 1739: void srch2(VL,V,P,P,P *);
! 1740: void srchmp(VL,int,V,P,P,P *);
! 1741: void srchump(int,P,P,P *);
! 1742: void srcr(VL,V,P,P,P *);
! 1743: void strtobf(char *,BF *);
! 1744: void subalg(Num,Num,Num *);
! 1745: void subbf(Num,Num,Num *);
! 1746: void subcplx(Num,Num,Num *);
! 1747: void submat(VL,MAT,MAT,MAT *);
! 1748: void submp(VL,int,P,P,P *);
! 1749: void submq(int,MQ,MQ,MQ *);
! 1750: void subnum(VL,Num,Num,Num *);
! 1751: void subp(VL,P,P,P *);
! 1752: void subr(VL,Obj,Obj,Obj *);
! 1753: void subreal(Num,Num,Real *);
! 1754: void submi(MQ,MQ,MQ *);
! 1755: void sublm(LM,LM,LM *);
! 1756: void substmp(VL,int,P,V,P,P *);
! 1757: void substp(VL,P,V,P,P *);
! 1758: void substvp(VL,P,VN,P *);
! 1759: void subum(int,UM,UM,UM);
! 1760: void subvect(VL,VECT,VECT,VECT *);
! 1761: void subquote(VL,QUOTE,QUOTE,QUOTE *);
! 1762: void toreim(Num,Num *,Num *);
! 1763: void ucsump(P,Q *);
! 1764: void uexgcdnp(VL,P,P *,int,VN,Q,P *,P *,P *,P *,Z *);
! 1765: void uezgcd1p(P,P,P *);
! 1766: void uezgcdpp(DCP,P,P *);
! 1767: void uezgcdpz(VL,P,P,P *);
! 1768: void ufctr(P,int,DCP *);
! 1769: void ufctrmain(P,int,DCP *);
! 1770: void umtomp(V,UM,P *);
! 1771: void umtop(V,UM,P *);
! 1772: void usqp(P,DCP *);
! 1773: void vntovl(VN,int,VL *);
! 1774:
! 1775: void saveerror(FILE *,ERR);
! 1776: void saveui(FILE *,USINT);
! 1777: void savedp(FILE *,DP);
! 1778: void savestring(FILE *,STRING);
! 1779: void savemat(FILE *,MAT);
! 1780: void savevect(FILE *,VECT);
! 1781: void savelist(FILE *,LIST);
! 1782: void saver(FILE *,R);
! 1783: void savep(FILE *,P);
! 1784: void savegf2n(FILE *,GF2N);
! 1785: void savegfpn(FILE *,GFPN);
! 1786: void savegfs(FILE *,GFS);
! 1787: void savedalg(FILE *,DAlg);
! 1788: void savelm(FILE *,LM);
! 1789: void savemi(FILE *,MQ);
! 1790: void savecplx(FILE *,C);
! 1791: void savebf(FILE *,BF);
! 1792: void savereal(FILE *,Real);
! 1793: void saveq(FILE *,Q);
! 1794: void savenum(FILE *,Num);
! 1795: void savepfins(FILE *,V);
! 1796: void savegfmmat(FILE *,GFMMAT);
! 1797: void savebytearray(FILE *,BYTEARRAY);
! 1798: void savegfsn(FILE *,GFSN);
! 1799:
! 1800: void loaderror(FILE *,ERR *);
! 1801: void loadui(FILE *,USINT *);
! 1802: void loaddp(FILE *,DP *);
! 1803: void loadstring(FILE *,STRING *);
! 1804: void loadmat(FILE *,MAT *);
! 1805: void loadvect(FILE *,VECT *);
! 1806: void loadlist(FILE *,LIST *);
! 1807: void loadr(FILE *,R *);
! 1808: void loadp(FILE *,P *);
! 1809: void loadgf2n(FILE *,GF2N *);
! 1810: void loadgfpn(FILE *,GFPN *);
! 1811: void loadgfs(FILE *,GFS *);
! 1812: void loadgfsn(FILE *,GFSN *);
! 1813: void loaddalg(FILE *,DAlg *);
! 1814: void loadlm(FILE *,LM *);
! 1815: void loadmi(FILE *,MQ *);
! 1816: void loadcplx(FILE *,C *);
! 1817: void loadbf(FILE *,BF *);
! 1818: void loadreal(FILE *,Real *);
! 1819: void loadq(FILE *,Q *);
! 1820: void loadnum(FILE *,Num *);
! 1821: void loadgfmmat(FILE *,GFMMAT *);
! 1822: void loadbytearray(FILE *,BYTEARRAY *);
! 1823: V loadpfins(FILE *);
! 1824: void eucum2(int mod,UM f1,UM f2,UM a,UM b);
! 1825: void clearum(UM p,int n);
! 1826: BM BMALLOC(int dx,int dy);
! 1827: int isequalum(UM f1,UM f2);
! 1828: void dec_um(int p,int a,UM u);
! 1829: void setmod_sf(int p,int n);
! 1830: int search_defpoly_and_primitive_root(int p,int n,UM dp);
! 1831: void generate_defpoly_um(int p,int n,UM dp);
! 1832: int generate_primitive_root_enc(int p,int n,UM dp);
! 1833: int mulremum_enc(int p,int n,UM dp,int a,int b);
! 1834: void gfs_galois_action(GFS a,Q e,GFS *c);
! 1835: void gfs_embed(GFS z,int k,int pm,GFS *c);
! 1836: void qtogfs(Q a,GFS *c);
! 1837: void mqtogfs(MQ a,GFS *c);
! 1838: void gfstomq(GFS a,MQ *c);
! 1839: void ntogfs(Obj a,GFS *b);
! 1840: void addgfs(GFS a,GFS b,GFS *c);
! 1841: void subgfs(GFS a,GFS b,GFS *c);
! 1842: void mulgfs(GFS a,GFS b,GFS *c);
! 1843: void divgfs(GFS a,GFS b,GFS *c);
! 1844: void chsgngfs(GFS a,GFS *c);
! 1845: int cmpgfs(GFS a,GFS b);
! 1846: void randomgfs(GFS *r);
! 1847: int _addsf(int a,int b);
! 1848: int _chsgnsf(int a);
! 1849: int _subsf(int a,int b);
! 1850: int _mulsf(int a,int b);
! 1851: int _invsf(int a);
! 1852: int _divsf(int a,int b);
! 1853: int _pwrsf(int a,int b);
! 1854: int _onesf();
! 1855: int _itosf(int n);
! 1856: int _isonesf(int a);
! 1857: int _randomsf();
! 1858: int field_order_sf();
! 1859: int characteristic_sf();
! 1860: int extdeg_sf();
! 1861: void addsfum(UM p1,UM p2,UM pr);
! 1862: void subsfum(UM p1,UM p2,UM pr);
! 1863: void gcdsfum(UM p1,UM p2,UM pr);
! 1864: void mulsfum(UM p1,UM p2,UM pr);
! 1865: void mulssfum(UM p,int n,UM pr);
! 1866: void kmulsfum(UM n1,UM n2,UM nr);
! 1867: void kmulsfummain(UM n1,UM n2,UM nr);
! 1868: int divsfum(UM p1,UM p2,UM pq);
! 1869: void diffsfum(UM f,UM fd);
! 1870: void monicsfum(UM f);
! 1871: int compsfum(UM a,UM b);
! 1872: void mulsfbm(BM f1,BM f2,BM fr);
! 1873: int degbm(BM f);
! 1874: void addtosfbm(BM f,BM g);
! 1875: void eucsfum(UM f1,UM f2,UM a,UM b);
! 1876: void shiftsfum(UM f,int a,UM g);
! 1877: void shiftsflum(int n,LUM f,int ev);
! 1878: void shiftsfbm(BM f,int a);
! 1879: void clearbm(int n,BM f);
! 1880:
! 1881: void ksquareum(int mod,UM n1,UM nr);
! 1882: void extractum(UM n,int index,int len,UM nr);
! 1883: void copyum(UM n1,UM n2);
! 1884: void c_copyum(UM n,int len,int *p);
! 1885: void kmulummain(int mod,UM n1,UM n2,UM nr);
! 1886: void ksquareummain(int mod,UM n1,UM nr);
! 1887:
! 1888: void simp_ff(Obj p,Obj *rp);
! 1889: void field_order_ff(Z *order);
! 1890:
! 1891: void random_lm(LM *r);
! 1892: void setmod_lm(Z p);
! 1893: void getmod_lm(Z *p);
! 1894:
! 1895: void qtolm(Q q,LM *l);
! 1896: void addlm(LM a,LM b,LM *c);
! 1897: void sublm(LM a,LM b,LM *c);
! 1898: void mullm(LM a,LM b,LM *c);
! 1899: void divlm(LM a,LM b,LM *c);
! 1900: void chsgnlm(LM a,LM *c);
! 1901: void pwrlm(LM a,Z b,LM *c);
! 1902: int cmplm(LM a,LM b);
! 1903: void simplm(LM a,LM *b);
! 1904: void simplm_force(LM a,LM *b);
! 1905:
! 1906: void addlf(Z a,Z b,Z *c);
! 1907: void sublf(Z a,Z b,Z *c);
! 1908: void mullf(Z a,Z b,Z *c);
! 1909: void divlf(Z a,Z b,Z *c);
! 1910: void chsgnlf(Z a,Z *c);
! 1911: int cmplf(Z a,Z b);
! 1912: void simplf(Z a,Z *b);
! 1913: void simplf_force(Z a,Z *b);
! 1914: void setmod_lf(Z p);
! 1915:
! 1916: void setmod_gfpn(P p);
! 1917: void getmod_gfpn(UP *up);
! 1918: void ptogfpn(Obj q,GFPN *l);
! 1919: void gfpntop(GFPN q,P *l);
! 1920: void simpgfpn(GFPN n,GFPN *r);
! 1921: void ntogfpn(Obj a,GFPN *b);
! 1922: void addgfpn(GFPN a,GFPN b,GFPN *c);
! 1923: void subgfpn(GFPN a,GFPN b,GFPN *c);
! 1924: void mulgfpn(GFPN a,GFPN b,GFPN *c);
! 1925: void squaregfpn(GFPN a,GFPN *c);
! 1926: void divgfpn(GFPN a,GFPN b,GFPN *c);
! 1927: void invgfpn(GFPN b,GFPN *c);
! 1928: void chsgngfpn(GFPN a,GFPN *c);
! 1929: int cmpgfpn(GFPN a,GFPN b);
! 1930: void randomgfpn(GFPN *r);
! 1931: void setmod_gfsn(UM p);
! 1932: void getmod_gfsn(UM *up);
! 1933: void simpgfsn(GFSN n,GFSN *r);
! 1934: void ntogfsn(Obj a,GFSN *b);
! 1935: void addgfsn(GFSN a,GFSN b,GFSN *c);
! 1936: void subgfsn(GFSN a,GFSN b,GFSN *c);
! 1937: void mulgfsn(GFSN a,GFSN b,GFSN *c);
! 1938: void divgfsn(GFSN a,GFSN b,GFSN *c);
! 1939: void invgfsn(GFSN b,GFSN *c);
! 1940: void chsgngfsn(GFSN a,GFSN *c);
! 1941: void pwrgfsn(GFSN a,Z b,GFSN *c);
! 1942: int cmpgfsn(GFSN a,GFSN b);
! 1943: void randomgfsn(GFSN *r);
! 1944: void setmod_gf2n(P p);
! 1945: void getmod_gf2n(UP2 *p);
! 1946: void simpgf2n(GF2N n,GF2N *r);
! 1947: void ptogf2n(Obj q,GF2N *l);
! 1948: void gf2ntop(GF2N q,P *l);
! 1949: void gf2ntovect(GF2N q,VECT *l);
! 1950: void addgf2n(GF2N a,GF2N b,GF2N *c);
! 1951: void subgf2n(GF2N a,GF2N b,GF2N *c);
! 1952: void mulgf2n(GF2N a,GF2N b,GF2N *c);
! 1953: void squaregf2n(GF2N a,GF2N *c);
! 1954: void divgf2n(GF2N a,GF2N b,GF2N *c);
! 1955: void invgf2n(GF2N b,GF2N *c);
! 1956: void chsgngf2n(GF2N a,GF2N *c);
! 1957: int cmpgf2n(GF2N a,GF2N b);
! 1958: void randomgf2n(GF2N *r);
! 1959: void nadictoz(int base,int d,unsigned int *w,Z *nrp);
! 1960: void intarraytoz(int len,unsigned int *w,Z *nrp);
! 1961: void ptomp(int m,P p,P *pr);
! 1962: void mptop(P f,P *gp);
! 1963: void ptosfp(P p,P *pr);
! 1964: void sfptop(P f,P *gp);
! 1965: void sf_galois_action(P p,Q e,P *pr);
! 1966: void sf_embed(P p,int k,int pm,P *pr);
! 1967: void ptolmp(P p,P *pr);
! 1968: void lmptop(P f,P *gp);
! 1969: void ptoum(int m,P f,UM wf);
! 1970: void umtop(V v,UM w,P *f);
! 1971: void ptosfum(P f,UM wf);
! 1972: void sfumtop(V v,UM w,P *f);
! 1973: void ptoup(P n,UP *nr);
! 1974: void uptop(UP n,P *nr);
! 1975: void ulmptoum(int m,UP f,UM wf);
! 1976: void objtobobj(int base,Obj p,Obj *rp);
! 1977: void bobjtoobj(int base,Obj p,Obj *rp);
! 1978: void numtobnum(int base,Num p,Num *rp);
! 1979: void bnumtonum(int base,Num p,Num *rp);
! 1980: void ptobp(int base,P p,P *rp);
! 1981: void bptop(int base,P p,P *rp);
! 1982: void listtoblist(int base,LIST p,LIST *rp);
! 1983: void blisttolist(int base,LIST p,LIST *rp);
! 1984: void vecttobvect(int base,VECT p,VECT *rp);
! 1985: void bvecttovect(int base,VECT p,VECT *rp);
! 1986: void mattobmat(int base,MAT p,MAT *rp);
! 1987: void bmattomat(int base,MAT p,MAT *rp);
! 1988: void mptoum(P p,UM pr);
! 1989: void umtomp(V v,UM p,P *pr);
! 1990: void enc_to_p(int p,int a,V v,P *pr);
! 1991: int comp_dum(DUM a,DUM b);
! 1992: void fctrsf(P p,DCP *dcp);
! 1993: void gensqfrsfum(UM p,struct oDUM *dc);
! 1994: void randsfum(int d,UM p);
! 1995: void pwrmodsfum(UM p,int e,UM f,UM pr);
! 1996: void spwrsfum(UM m,UM f,Z e,UM r);
! 1997: void tracemodsfum(UM m,UM f,int e,UM r);
! 1998: void make_qmatsf(UM p,UM *tab,int ***mp);
! 1999: void nullsf(int **mat,int n,int *ind);
! 2000: void null_to_solsf(int **mat,int *ind,int n,UM *r);
! 2001: void czsfum(UM f,UM *r);
! 2002: int berlekampsf(UM p,int df,UM *tab,UM *r);
! 2003: void minipolysf(UM f,UM p,UM mp);
! 2004: int find_rootsf(UM p,int *root);
! 2005: void sqfrsf(VL vl,P f, DCP *dcp);
! 2006: void canzassf(UM f,int d,UM *r);
! 2007: void sfhensel(int count,P f,V x,V y,int degbound,GFS *evp,P *sfp,ML *listp);
! 2008: int sfberle(V x,V y,P f,int count,GFS *ev,DCP *dcp);
! 2009: void sfgcdgen(P f,ML blist,ML *clistp);
! 2010: void sfhenmain2(BM f,UM g0,UM h0,int dy,BM *gp);
! 2011: void ptosfbm(int dy,P f,BM fl);
! 2012: void sfbmtop(BM f,V x,V y,P *fp);
! 2013: void sfsqfr(P f,DCP *dcp);
! 2014: void sfusqfr(P f,DCP *dcp);
! 2015: void sfbsqfr(P f,V x,V y,DCP *dcp);
! 2016: void sfbfctr(P f,V x,V y,int degbound,DCP *dcp);
! 2017: void sfdtest(P f,ML list,V x,V y,DCP *dcp);
! 2018: int sfdtestmain(VL vl,P lcg,UM lcg0,BM lcy,P csum,ML list,
! 2019: int k,int *in,P *fp,P *cofp);
! 2020: void const_term(P f,UM c);
! 2021: void const_term_sfbm(BM f,UM c);
! 2022: int sfctest(UM lcg0,BM lcy,ML list,int k,int *in);
! 2023: void mulsfbmarray(int dx,BM lcy,ML list,int k,int *in,V x,V y,P *g);
! 2024: void sfcsump(VL vl,P f,P *s);
! 2025: void cont_pp_sfp(VL vl,P f,P *cp,P *fp);
! 2026: int divtp_by_sfbm(VL vl,P f,P g,P *qp);
! 2027: void generate_defpoly_sfum(int n,UM *dp);
! 2028: NODE symb_merge(NODE,NODE,int);
! 2029: void _free_private_storage();
! 2030: void _DL_alloc();
! 2031: void _MP_alloc();
! 2032: void _DP_alloc();
! 2033: void _addmd_destructive(int mod,DP p1,DP p2,DP *pr);
! 2034: void _mulmd_dup(int mod,DP p1,DP p2,DP *pr);
! 2035: void _comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
! 2036: void _weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
! 2037: void _mulmdm_dup(int mod,DP p,MP m0,DP *pr);
! 2038: void _weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr);
! 2039: void _weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen);
! 2040: void _comm_mulmd_tab(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1,struct cdlm *rt);
! 2041: void _comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1);
! 2042: void dlto_dl(DL d,DL *dr);
! 2043: void _dltodl(DL d,DL *dr);
! 2044: void _adddl_dup(int n,DL d1,DL d2,DL *dr);
! 2045: void _free_dlarray(DL *a,int n);
! 2046: void _free_dp(DP f);
! 2047: void dpto_dp(DP p,DP *r);
! 2048: void _dptodp(DP p,DP *r);
! 2049: NODE _symb_merge(NODE m1,NODE m2,int n);
! 2050: void _addd_destructive(VL vl,DP p1,DP p2,DP *pr);
! 2051: void _muld_dup(VL vl,DP p1,DP p2,DP *pr);
! 2052: void _comm_muld_dup(VL vl,DP p1,DP p2,DP *pr);
! 2053: void _weyl_muld_dup(VL vl,DP p1,DP p2,DP *pr);
! 2054: void _muldm_dup(VL vl,DP p,MP m0,DP *pr);
! 2055: void _weyl_muldm_dup(VL vl,MP m0,DP p,DP *pr);
! 2056: void _weyl_mulmm_dup(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen);
! 2057: void _comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt);
! 2058: void _comm_muld_tab_destructive(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1);
! 2059:
! 2060: int has_fcoef(DP f);
! 2061: int has_fcoef_p(P f);
! 2062: void initd(struct order_spec *spec);
! 2063: void ptod(VL vl,VL dvl,P p,DP *pr);
! 2064: void dtop(VL vl,VL dvl,DP p,Obj *pr);
! 2065: void nodetod(NODE node,DP *dp);
! 2066: void nodetodpm(NODE node,Obj pos,DPM *dp);
! 2067: int sugard(MP m);
! 2068: void addd(VL vl,DP p1,DP p2,DP *pr);
! 2069: void symb_addd(DP p1,DP p2,DP *pr);
! 2070: NODE symb_merge(NODE m1,NODE m2,int n);
! 2071: DLBUCKET symb_merge_bucket(DLBUCKET m1,DLBUCKET m2,int n);
! 2072: void subd(VL vl,DP p1,DP p2,DP *pr);
! 2073: void chsgnd(DP p,DP *pr);
! 2074: void muld(VL vl,DP p1,DP p2,DP *pr);
! 2075: void comm_muld(VL vl,DP p1,DP p2,DP *pr);
! 2076: void muldm(VL vl,DP p,MP m0,DP *pr);
! 2077: void weyl_muld(VL vl,DP p1,DP p2,DP *pr);
! 2078: void weyl_muldm(VL vl,MP m0,DP p,DP *pr);
! 2079: void weyl_mulmm(VL vl,MP m0,MP m1,int n,struct cdl *rtab,int rtablen);
! 2080: void comm_muld_tab(VL vl,int nv,struct cdl *t,int n,struct cdl *t1,int n1,struct cdl *rt);
! 2081: void muldc(VL vl,DP p,Obj c,DP *pr);
! 2082: void divsdc(VL vl,DP p,P c,DP *pr);
! 2083: void divdc(VL vl,DP p,Obj c,DP *pr);
! 2084: void adddl(int n,DL d1,DL d2,DL *dr);
! 2085: void adddl_destructive(int n,DL d1,DL d2);
! 2086: int compd(VL vl,DP p1,DP p2);
! 2087: int cmpdl_lex(int n,DL d1,DL d2);
! 2088: int cmpdl_revlex(int n,DL d1,DL d2);
! 2089: int cmpdl_gradlex(int n,DL d1,DL d2);
! 2090: int cmpdl_revgradlex(int n,DL d1,DL d2);
! 2091: int cmpdl_blex(int n,DL d1,DL d2);
! 2092: int cmpdl_bgradlex(int n,DL d1,DL d2);
! 2093: int cmpdl_brevgradlex(int n,DL d1,DL d2);
! 2094: int cmpdl_brevrev(int n,DL d1,DL d2);
! 2095: int cmpdl_bgradrev(int n,DL d1,DL d2);
! 2096: int cmpdl_blexrev(int n,DL d1,DL d2);
! 2097: int cmpdl_elim(int n,DL d1,DL d2);
! 2098: int cmpdl_weyl_elim(int n,DL d1,DL d2);
! 2099: int cmpdl_homo_ww_drl(int n,DL d1,DL d2);
! 2100: int cmpdl_order_pair(int n,DL d1,DL d2);
! 2101: int cmpdl_matrix(int n,DL d1,DL d2);
! 2102: void ptomd(VL vl,int mod,VL dvl,P p,DP *pr);
! 2103: void mptomd(VL vl,int mod,VL dvl,P p,DP *pr);
! 2104: void mdtop(VL vl,int mod,VL dvl,DP p,P *pr);
! 2105: void addmd(VL vl,int mod,DP p1,DP p2,DP *pr);
! 2106: void submd(VL vl,int mod,DP p1,DP p2,DP *pr);
! 2107: void chsgnmd(int mod,DP p,DP *pr);
! 2108: void mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
! 2109: void comm_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
! 2110: void weyl_mulmd(VL vl,int mod,DP p1,DP p2,DP *pr);
! 2111: void mulmdm(VL vl,int mod,DP p,MP m0,DP *pr);
! 2112: void weyl_mulmdm(VL vl,int mod,DP p,MP m0,DP *pr);
! 2113: void weyl_mulmmm(VL vl,int mod,MP m0,MP m1,int n,DP *pr);
! 2114: void mulmdc(VL vl,int mod,DP p,P c,DP *pr);
! 2115: void divsmdc(VL vl,int mod,DP p,P c,DP *pr);
! 2116: void _dtop_mod(VL vl,VL dvl,DP p,P *pr);
! 2117: void _dp_mod(DP p,int mod,NODE subst,DP *rp);
! 2118: void _dp_monic(DP p,int mod,DP *rp);
! 2119: void _printdp(DP d);
! 2120: void addmd_destructive(int mod,DP p1,DP p2,DP *pr);
! 2121: void mulmd_dup(int mod,DP p1,DP p2,DP *pr);
! 2122: void comm_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
! 2123: void weyl_mulmd_dup(int mod,DP p1,DP p2,DP *pr);
! 2124: void mulmdm_dup(int mod,DP p,MP m0,DP *pr);
! 2125: void weyl_mulmdm_dup(int mod,MP m0,DP p,DP *pr);
! 2126: void weyl_mulmmm_dup(int mod,MP m0,MP m1,int n,struct cdlm *rtab,int rtablen);
! 2127: void comm_mulmd_tab_destructive(int mod,int nv,struct cdlm *t,int n,struct cdlm *t1,int n1);
! 2128: void adddl_dup(int n,DL d1,DL d2,DL *dr);
! 2129: void monicup(UP a,UP *b);
! 2130: void simpup(UP a,UP *b);
! 2131: void simpnum(Num a,Num *b);
! 2132: void uremp(P p1,P p2,P *rp);
! 2133: void ugcdp(P p1,P p2,P *rp);
! 2134: void reversep(P p1,Q d,P *rp);
! 2135: void invmodp(P p1,Q d,P *rp);
! 2136: void addup(UP n1,UP n2,UP *nr);
! 2137: void subup(UP n1,UP n2,UP *nr);
! 2138: void chsgnup(UP n1,UP *nr);
! 2139: void hybrid_mulup(int ff,UP n1,UP n2,UP *nr);
! 2140: void hybrid_squareup(int ff,UP n1,UP *nr);
! 2141: void hybrid_tmulup(int ff,UP n1,UP n2,int d,UP *nr);
! 2142: void mulup(UP n1,UP n2,UP *nr);
! 2143: void mulcup(Num c,UP n1,UP *nr);
! 2144: void tmulup(UP n1,UP n2,int d,UP *nr);
! 2145: void squareup(UP n1,UP *nr);
! 2146: void remup(UP n1,UP n2,UP *nr);
! 2147: void remup_destructive(UP n1,UP n2);
! 2148: void qrup(UP n1,UP n2,UP *nq,UP *nr);
! 2149: void qrup_destructive(UP n1,UP n2);
! 2150: void gcdup(UP n1,UP n2,UP *nr);
! 2151: void extended_gcdup(UP a,UP m,UP *r);
! 2152: void reverseup(UP n1,int d,UP *nr);
! 2153: void invmodup(UP n1,int d,UP *nr);
! 2154: void pwrup(UP n,Z e,UP *nr);
! 2155: int compup(UP n1,UP n2);
! 2156: void kmulp(VL vl,P n1,P n2,P *nr);
! 2157: void ksquarep(VL vl,P n1,P *nr);
! 2158: void kmulup(UP n1,UP n2,UP *nr);
! 2159: void ksquareup(UP n1,UP *nr);
! 2160: void copyup(UP n1,UP n2);
! 2161: void c_copyup(UP n,int len,pointer *p);
! 2162: void kmulupmain(UP n1,UP n2,UP *nr);
! 2163: void ksquareupmain(UP n1,UP *nr);
! 2164: void rembymulup(UP n1,UP n2,UP *nr);
! 2165: void hybrid_rembymulup_special(int ff,UP n1,UP n2,UP inv2,UP *nr);
! 2166: void rembymulup_special(UP n1,UP n2,UP inv2,UP *nr);
! 2167: void tkmulup(UP n1,UP n2,int d,UP *nr);
! 2168: void shiftup(UP n,int d,UP *nr);
! 2169: void fft_rembymulup_special(UP n1,UP n2,UP inv2,UP *nr);
! 2170: void set_degreeup(UP n,int d);
! 2171: void decompup(UP n,int d,UP *n0,UP *n1);
! 2172: void truncup(UP n1,int d,UP *nr);
! 2173: int int_bits(int t);
! 2174: int maxblenup(UP n);
! 2175: void uptofmarray(int mod,UP n,ModNum *f);
! 2176: void fmarraytoup(ModNum *f,int d,UP *nr);
! 2177: void uiarraytoup(unsigned int **f,int n,int d,UP *nr);
! 2178: void adj_coefup(UP n,Z m,Z m2,UP *nr);
! 2179: void remcup(UP n,Z mod,UP *nr);
! 2180: void fft_mulup(UP n1,UP n2,UP *nr);
! 2181: void trunc_fft_mulup(UP n1,UP n2,int dbd,UP *nr);
! 2182: void fft_squareup(UP n1,UP *nr);
! 2183: void fft_mulup_main(UP n1,UP n2,int dbd,UP *nr);
! 2184: void crup(ModNum **f,int d,int *mod,int index,Z m,UP *r);
! 2185: void crup_lm(ModNum **f,int d,int *mod,int index,Z m,Z lm_mod,UP *r);
! 2186: void fft_mulup_specialmod_main(UP n1,UP n2,int dbd,int *modind,int nmod,UP *nr);
! 2187: void fft_mulup_lm(UP n1,UP n2,UP *nr);
! 2188: void fft_squareup_lm(UP n1,UP *nr);
! 2189: void trunc_fft_mulup_lm(UP n1,UP n2,int dbd,UP *nr);
! 2190: void fft_rembymulup_special_lm(UP n1,UP n2,UP inv2,UP *nr);
! 2191: void uptolmup(UP n,UP *nr);
! 2192: void save_up(UP obj,char *name);
! 2193: void hybrid_powermodup(UP f,UP *xp);
! 2194: void powermodup(UP f,UP *xp);
! 2195: void hybrid_generic_powermodup(UP g,UP f,Z d,UP *xp);
! 2196: void generic_powermodup(UP g,UP f,Z d,UP *xp);
! 2197: void hybrid_powertabup(UP f,UP xp,UP *tab);
! 2198: void powertabup(UP f,UP xp,UP *tab);
! 2199: void squarep_gf2n(VL vl,P n1,P *nr);
! 2200: void squareup_gf2n(UP n1,UP *nr);
! 2201: void powermodup_gf2n(UP f,UP *xp);
! 2202: void generic_powermodup_gf2n(UP g,UP f,Z d,UP *xp);
! 2203: void tracemodup_gf2n(UP g,UP f,Z d,UP *xp);
! 2204: void tracemodup_gf2n_slow(UP g,UP f,Z d,UP *xp);
! 2205: void tracemodup_gf2n_tab(UP g,UP f,Z d,UP *xp);
! 2206: void square_rem_tab_up_gf2n(UP f,UP *tab,UP *rp);
! 2207: void powertabup_gf2n(UP f,UP xp,UP *tab);
! 2208: void find_root_gf2n(UP f,GF2N *r);
! 2209: void ptoup2(P n,UP2 *nr);
! 2210: void ptoup2_sparse(P n,UP2 *nr);
! 2211: void up2top(UP2 n,P *nr);
! 2212: void up2tovect(UP2 n,VECT *nr);
! 2213: void up2ton(UP2 p,Q *n);
! 2214: void ntoup2(Q n,UP2 *p);
! 2215: void gen_simpup2(UP2 p,GEN_UP2 m,UP2 *r);
! 2216: void gen_simpup2_destructive(UP2 p,GEN_UP2 m);
! 2217: void gen_invup2(UP2 p,GEN_UP2 m,UP2 *r);
! 2218: void gen_pwrmodup2(UP2 a,Z b,GEN_UP2 m,UP2 *c);
! 2219: void simpup2(UP2 p,UP2 m,UP2 *r);
! 2220: int degup2(UP2 a);
! 2221: int degup2_sparse(UP2 a);
! 2222: int degup2_1(unsigned int a);
! 2223: void addup2(UP2 a,UP2 b,UP2 *c);
! 2224: void subup2(UP2 a,UP2 b,UP2 *c);
! 2225: void _mulup2_1(UP2 a,unsigned int b,UP2 c);
! 2226: void _mulup2_h(UP2 a,unsigned int b,UP2 c);
! 2227: void mulup2(UP2 a,UP2 b,UP2 *c);
! 2228: void _kmulup2_(unsigned int *a,unsigned int *b,int w,unsigned int *c);
! 2229: void _mulup2_nn(unsigned int *a,unsigned int *b,int w,unsigned int *c);
! 2230: void _mulup2(UP2 a,UP2 b,UP2 c);
! 2231: void _mulup2_(_UP2 a,_UP2 b,_UP2 c);
! 2232: void squareup2(UP2 n,UP2 *nr);
! 2233: void _squareup2(UP2 n,UP2 nr);
! 2234: void _adjup2(UP2 n);
! 2235: void _adjup2_(_UP2 n);
! 2236: void _addup2(UP2 a,UP2 b,UP2 c);
! 2237: void _addup2_destructive(UP2 a,UP2 b);
! 2238: void _addup2_(_UP2 a,_UP2 b,_UP2 c);
! 2239: void _addtoup2_(_UP2 a,_UP2 b);
! 2240: unsigned int mulup2_bb(unsigned int a,unsigned int b);
! 2241: void init_up2_tab();
! 2242: void divup2_1(unsigned int a1,unsigned int a2,int e1,int e2,unsigned int *qp,unsigned int *rp);
! 2243: void qrup2(UP2 a,UP2 b,UP2 *q,UP2 *r);
! 2244: void _qrup2(UP2 a,UP2 b,UP2 q,UP2 r);
! 2245: void remup2(UP2 a,UP2 b,UP2 *c);
! 2246: void _remup2(UP2 a,UP2 b,UP2 c);
! 2247: void remup2_sparse(UP2 a,UP2 b,UP2 *c);
! 2248: void remup2_sparse_destructive(UP2 a,UP2 b);
! 2249: void remup2_type1_destructive(UP2 a,int d);
! 2250: void remup2_3_destructive(UP2 a,UP2 b);
! 2251: void remup2_5_destructive(UP2 a,UP2 b);
! 2252: void _invup2_1(unsigned int f1,unsigned int f2,unsigned int *a1,unsigned int *b1);
! 2253: void _gcdup2_1(unsigned int f1,unsigned int f2,unsigned int *gcd);
! 2254: void up2_init_eg();
! 2255: void up2_show_eg();
! 2256: void invup2(UP2 a,UP2 m,UP2 *inv);
! 2257: void gcdup2(UP2 a,UP2 m,UP2 *gcd);
! 2258: void chsgnup2(UP2 a,UP2 *c);
! 2259: int compup2(UP2 n1,UP2 n2);
! 2260: void _copyup2(UP2 n,UP2 r);
! 2261: void _bshiftup2(UP2 n,int b,UP2 r);
! 2262: void _bshiftup2_destructive(UP2 n,int b);
! 2263: void diffup2(UP2 f,UP2 *r);
! 2264: int sqfrcheckup2(UP2 f);
! 2265: int irredcheckup2(UP2 f);
! 2266: int irredcheck_dddup2(UP2 f);
! 2267: void _copy_up2bits(UP2 p,unsigned int **mat,int pos);
! 2268: int compute_multiplication_matrix(P p0,GF2MAT *mp);
! 2269: void compute_change_of_basis_matrix(P p0,P p1,int to,GF2MAT *m01,GF2MAT *m10);
! 2270: void compute_change_of_basis_matrix_with_root(P p0,P p1,int to,GF2N root,GF2MAT *m01,GF2MAT *m10);
! 2271: int compute_representation_conversion_matrix(P p0,GF2MAT *np,GF2MAT *pn);
! 2272: void mul_nb(GF2MAT mat,unsigned int *a,unsigned int *b,unsigned int *c);
! 2273: void leftshift(unsigned int *a,int n);
! 2274: void mat_to_gf2mat(MAT a,unsigned int ***b);
! 2275: void gf2mat_to_mat(unsigned int **a,int n,MAT *b);
! 2276: void mulgf2mat(int n,unsigned int **a,unsigned int **b,unsigned int **c);
! 2277: void mulgf2vectmat(int n,unsigned int *a,unsigned int **b,unsigned int *c);
! 2278: int mulgf2vectvect(int n,unsigned int *a,unsigned int *b);
! 2279: int invgf2mat(int n,unsigned int **a,unsigned int **b);
! 2280: void _mulup2_22(unsigned int *a1,unsigned int *a2,unsigned int *ar);
! 2281: void _mulup2_33(unsigned int *a1,unsigned int *a2,unsigned int *ar);
! 2282: void _mulup2_44(unsigned int *a1,unsigned int *a2,unsigned int *ar);
! 2283: void _mulup2_55(unsigned int *a1,unsigned int *a2,unsigned int *ar);
! 2284: void _mulup2_66(unsigned int *a1,unsigned int *a2,unsigned int *ar);
! 2285: void type1_bin_invup2(UP2 a,int n,UP2 *inv);
! 2286: UP2 *compute_tab_gf2n(UP2 f);
! 2287: UP compute_trace_gf2n(UP2 *tab,GF2N c,int n);
! 2288: void up2toup(UP2 f,UP *r);
! 2289: void find_root_up2(UP2 f,GF2N *r);
! 2290: void addq(Q n1,Q n2,Q *nr);
! 2291: void subq(Q n1,Q n2,Q *nr);
! 2292: void mulq(Q n1,Q n2,Q *nr);
! 2293: void divq(Q n1,Q n2,Q *nq);
! 2294: void divsq(Q n1,Q n2,Q *nq);
! 2295: void invq(Q n,Q *nr);
! 2296: void chsgnq(Q n,Q *nr);
! 2297: void pwrq(Q n1,Q n,Q *nr);
! 2298: int cmpq(Q q1,Q q2);
! 2299: void remq(Q n,Q m,Q *nr);
! 2300: void mkbc(int n,Z *t);
! 2301: void mkwcm(int k,int l,int m,int *t);
! 2302: void invl(Q a,Q mod,Q *ar);
! 2303: void plisttop(P *f,V v,int n,P *gp);
! 2304: int divtp(VL vl,P p1,P p2,P *q);
! 2305: int divtdcp(VL vl,P p1,P p2,P *q);
! 2306: int divtpz(VL vl,P p1,P p2,P *q);
! 2307: int divtdcpz(VL vl,P p1,P p2,P *q);
! 2308: void udivpz(P f1,P f2,P *fqp,P *frp);
! 2309: void udivpwm(Z mod,P p1,P p2,P *q,P *r);
! 2310: void udivpzwm(Z mod,P f1,P f2,P *fqp,P *frp);
! 2311: void henmv(VL vl,VN vn,P f,P g0,P h0,P a0,P b0,P lg,P lh,P lg0,P lh0,Z q,int k,P *gp,P *hp);
! 2312: void henmvmain(VL vl,VN vn,P f,P fi0,P fi1,P gi0,P gi1,P l0,P l1,Z mod,Z mod2,int k,P *fr0,P *fr1);
! 2313: void henzq(P f,P i0,UM fi0,P i1,UM fi1,int p,int k,P *fr0p,P *fr1p,P *gr0p,P *gr1p,Z *qrp);
! 2314: void henzq1(P g,P h,Q bound,P *gcp,P *hcp,Z *qp);
! 2315: void addm2p(VL vl,Z mod,Z mod2,P n1,P n2,P *nr);
! 2316: void subm2p(VL vl,Z mod,Z mod2,P n1,P n2,P *nr);
! 2317: void mulm2p(VL vl,Z mod,Z mod2,P n1,P n2,P *nr);
! 2318: void addm2q(Z mod,Z mod2,Z n1,Z n2,Z *nr);
! 2319: void subm2q(Z mod,Z mod2,Z n1,Z n2,Z *nr);
! 2320: void mulm2q(Z mod,Z mod2,Z n1,Z n2,Z *nr);
! 2321: void rem2q(Z n,Z m,Z m2,Z *nr);
! 2322: void exthpc_generic(VL vl,P p,int d,V v,P *pr);
! 2323: void exthp(VL vl,P p,int d,P *pr);
! 2324: void exthpc(VL vl,V v,P p,int d,P *pr);
! 2325: void cbound(VL vl,P p,Q *b);
! 2326: int geldb(VL vl,P p);
! 2327: int getdeg(V v,P p);
! 2328: void cmax(P p,Q *b);
! 2329: int nextbin(VN vn,int n);
! 2330: void mulsgn(VN vn,VN vnt,int n,VN vn1);
! 2331: void next(VN vn);
! 2332: void clctv(VL vl,P p,VL *nvlp);
! 2333: void markv(VN vn,int n,P p);
! 2334: void vntovl(VN vn,int n,VL *vlp);
! 2335: int dbound(V v,P f);
! 2336: int homdeg(P f);
! 2337: int minhomdeg(P f);
! 2338: void adjc(VL vl,P f,P a,P lc0,Z q,P *fr,P *ar);
! 2339: void affinemain(VL vl,P p,V v0,int n,P *pl,P *pr);
! 2340: void restore(VL vl,P f,VN vn,P *fr);
! 2341: void mergev(VL vl,VL vl1,VL vl2,VL *nvlp);
! 2342: void substvp(VL vl,P f,VN vn,P *g);
! 2343: void affine(VL vl,P f,VN vn,P *fr);
! 2344: void addnum(VL vl,Num a,Num b,Num *c);
! 2345: void subnum(VL vl,Num a,Num b,Num *c);
! 2346: void mulnum(VL vl,Num a,Num b,Num *c);
! 2347: void divnum(VL vl,Num a,Num b,Num *c);
! 2348: void pwrnum(VL vl,Num a,Num b,Num *c);
! 2349: void chsgnnum(Num a,Num *c);
! 2350: int compnum(VL vl,Num a,Num b);
! 2351: void one_ff(Num *c);
! 2352: int negative_number(Num c);
! 2353: void simp_ff(Obj p,Obj *rp);
! 2354: int fft_available(int d1,int n1,int d2,int n2);
! 2355: void get_fft_prime(int index,int *p,int *d);
! 2356: void nglob_init();
! 2357: void get_eg(struct oEGT *p);
! 2358: void init_eg(struct oEGT *eg);
! 2359: void add_eg(struct oEGT *base,struct oEGT *start,struct oEGT *end);
! 2360: void print_eg(char *item,struct oEGT *eg);
! 2361: void print_split_eg(struct oEGT *start,struct oEGT *end);
! 2362: void print_split_e(struct oEGT *start,struct oEGT *end);
! 2363: void suspend_timer() ;
! 2364: void resume_timer() ;
! 2365: void reset_engine() ;
! 2366: unsigned int get_asir_version() ;
! 2367: char *get_asir_distribution();
! 2368: void create_error(ERR *err,unsigned int serial,char *msg,LIST trace);
! 2369: void init_lprime();
! 2370: int get_lprime(int index);
! 2371: void create_new_lprimes(int index);
! 2372: void reorderp(VL nvl,VL ovl,P p,P *pr);
! 2373: void substp(VL vl,P p,V v0,P p0,P *pr);
! 2374: void detp(VL vl,P **rmat,int n,P *dp);
! 2375: void invmatp(VL vl,P **rmat,int n,P ***imatp,P *dnp);
! 2376: void reordvar(VL vl,V v,VL *nvlp);
! 2377: void gcdprsp(VL vl,P p1,P p2,P *pr);
! 2378: void gcdcp(VL vl,P p,P *pr);
! 2379: void sprs(VL vl,V v,P p1,P p2,P *pr);
! 2380: void resultp(VL vl,V v,P p1,P p2,P *pr);
! 2381: void srch2(VL vl,V v,P p1,P p2,P *pr);
! 2382: void srcr(VL vl,V v,P p1,P p2,P *pr);
! 2383: void res_ch_det(VL vl,V v,P p1,P p2,P *pr);
! 2384: void res_detmp(VL vl,int mod,V v,P p1,P p2,P *dp);
! 2385: void premp(VL vl,P p1,P p2,P *pr);
! 2386: void ptozp0(P p,P *pr);
! 2387: void mindegp(VL vl,P p,VL *mvlp,P *pr);
! 2388: void maxdegp(VL vl,P p,VL *mvlp,P *pr);
! 2389: void min_common_vars_in_coefp(VL vl,P p,VL *mvlp,P *pr);
! 2390: void minlcdegp(VL vl,P p,VL *mvlp,P *pr);
! 2391: void sort_by_deg(int n,P *p,P *pr);
! 2392: void sort_by_deg_rev(int n,P *p,P *pr);
! 2393: void minchdegp(VL vl,P p,VL *mvlp,P *pr);
! 2394: int getchomdeg(V v,P p);
! 2395: int getlchomdeg(V v,P p,int *d);
! 2396: int nmonop(P p);
! 2397: int qpcheck(Obj p);
! 2398: int uzpcheck(Obj p);
! 2399: int p_mag(P p);
! 2400: int maxblenp(P p);
! 2401: void berle(int index,int count,P f,ML *listp);
! 2402: int berlecnt(int mod,UM f);
! 2403: int berlecntmain(int mod,int n,int m,int **c);
! 2404: UM *berlemain(int mod,UM f,UM *fp);
! 2405: void hensel(int index,int count,P f,ML *listp);
! 2406: void hensel2(int index,int count,P f,ML *listp);
! 2407: void henmain2(LUM f,UM g0,UM h0,UM a0,UM b0,int m,int bound,LUM *gp);
! 2408: void clearlum(int n,int bound,LUM f);
! 2409: void addtolum(int m,int bound,LUM f,LUM g);
! 2410: void hsq(int index,int count,P f,int *nindex,DCP *dcp);
! 2411: void gcdgen(P f,ML blist,ML *clistp);
! 2412: void henprep2(int mod,int q,int k,UM f,UM g,UM h,UM qg,UM qh,UM qa,UM qb);
! 2413: void henprep(P f,ML blist,ML clist,ML *bqlistp,ML *cqlistp);
! 2414: void henmain(LUM f,ML bqlist,ML cqlist,ML *listp);
! 2415: int mignotte(int q,P f);
! 2416: int mig(int q,int d,P f);
! 2417: void sqad(mp_limb_t man,int exp);
! 2418: void ptolum(int q,int bound,P f,LUM fl);
! 2419: void modfctrp(P p,int mod,int flag,DCP *dcp);
! 2420: void gensqfrum(int mod,UM p,struct oDUM *dc);
! 2421: void ddd(int mod,UM f,UM *r);
! 2422: void canzas(int mod,UM f,int d,UM *base,UM *r);
! 2423: void randum(int mod,int d,UM p);
! 2424: void pwrmodum(int mod,UM p,int e,UM f,UM pr);
! 2425: void spwrum0(int mod,UM m,UM f,Z e,UM r);
! 2426: void mult_mod_tab(UM p,int mod,UM *tab,UM r,int d);
! 2427: void make_qmat(UM p,int mod,UM *tab,int ***mp);
! 2428: void null_mod(int **mat,int mod,int n,int *ind);
! 2429: void null_to_sol(int **mat,int *ind,int mod,int n,UM *r);
! 2430: void newddd(int mod,UM f,UM *r);
! 2431: int nfctr_mod(UM f,int mod);
! 2432: int irred_check(UM f,int mod);
! 2433: int berlekamp(UM p,int mod,int df,UM *tab,UM *r);
! 2434: void minipoly_mod(int mod,UM f,UM p,UM mp);
! 2435: void lnf_mod(int mod,int n,UM p0,UM p1,struct p_pair *list,UM np0,UM np1);
! 2436: void showum(UM p);
! 2437: void showumat(int **mat,int n);
! 2438: int find_root(int mod,UM p,int *root);
! 2439: void fctrp(VL vl,P f,DCP *dcp);
! 2440: void fctr_wrt_v_p(VL vl,P f,V v,DCP *dcp);
! 2441: void homfctr(VL vl,P g,DCP *dcp);
! 2442: void mfctr(VL vl,P f,DCP *dcp);
! 2443: void mfctr_wrt_v(VL vl,P f,V v,DCP *dcp);
! 2444: void adjsgn(P p,DCP dc);
! 2445: int headsgn(P p);
! 2446: void fctrwithmvp(VL vl,P f,V v,DCP *dcp);
! 2447: void mfctrwithmv(VL vl,P f,V v,DCP *dcp);
! 2448: void ufctr(P f,int hint,DCP *dcp);
! 2449: void mfctrmain(VL vl,P p,DCP *dcp);
! 2450: void ufctrmain(P p,int hint,DCP *dcp);
! 2451: void cycm(V v,int n,DCP *dcp);
! 2452: void cycp(V v,int n,DCP *dcp);
! 2453: void calcphi(V v,int n,struct oMF *mfp);
! 2454: void mkssum(V v,int e,int s,int sgn,P *r);
! 2455: int iscycp(P f);
! 2456: int iscycm(P f);
! 2457: void sortfs(DCP *dcp);
! 2458: void sortfsrev(DCP *dcp);
! 2459: void nthrootchk(P f,struct oDUM *dc,ML fp,DCP *dcp);
! 2460: void sqfrp(VL vl,P f,DCP *dcp);
! 2461: void msqfr(VL vl,P f,DCP *dcp);
! 2462: void usqp(P f,DCP *dcp);
! 2463: void msqfrmain(VL vl,P p,DCP *dcp);
! 2464: void msqfrmainmain(VL vl,P p,VN vn,P p0,DCP dc0,DCP *dcp,P *pp);
! 2465: void mfctrhen2(VL vl,VN vn,P f,P f0,P g0,P h0,P lcg,P lch,P *gp);
! 2466: int sqfrchk(P p);
! 2467: int cycchk(P p);
! 2468: int zerovpchk(VL vl,P p,VN vn);
! 2469: int valideval(VL vl,DCP dc,VN vn);
! 2470: void estimatelc(VL vl,Z c,DCP dc,VN vn,P *lcp);
! 2471: void monomialfctr(VL vl,P p,P *pr,DCP *dcp);
! 2472: void afctr(VL vl,P p0,P p,DCP *dcp);
! 2473: void afctrmain(VL vl,P p0,P p,int init,DCP *dcp);
! 2474: int divtmp(VL vl,int mod,P p1,P p2,P *q);
! 2475: int divtdcmp(VL vl,int mod,P p1,P p2,P *q);
! 2476: void GC_gcollect();
! 2477:
! 2478: /* IMAT */
! 2479: void Pnewimat(NODE, IMAT *);
! 2480: void PChsgnI(NODE, IMAT *);
! 2481: void Pm2Im(NODE, IMAT *);
! 2482: void PIm2m(NODE, MAT *);
! 2483:
! 2484: void AddMatI(VL, IMAT, IMAT, IMAT *);
! 2485: void MulMatI(VL, IMAT, IMAT, IMAT *);
! 2486: void MulMatG(VL, Obj, Obj, Obj *);
! 2487: void MulrMatI(VL, Obj, Obj, Obj *);
! 2488: void MulMatS(VL, IMAT, IMAT, IMAT *);
! 2489: void PutIent(IMAT, int, int, Obj);
! 2490: void GetIent(IMAT, int, int, Obj);
! 2491: void GetIbody(IMAT, int, int, Obj *);
! 2492: void ChsgnI(IMAT, IMAT *c);
! 2493: void AppendIent(IMAT, int, int, Obj);
! 2494: void MEnt(int, int, int, Obj, IENT *);
! 2495: void GetForeIent(IMATC *, IENT *, int *);
! 2496: void GetNextIent(IMATC *, IENT *, int *);
! 2497: void SubMatI(VL, IMAT, IMAT, IMAT *);
! 2498: /* IMAT */
! 2499:
! 2500:
! 2501: #if 0 && !defined(VISUAL) && !defined(__MINGW32__)
! 2502: void bzero(const void *,int);
! 2503: void bcopy(const void *,void *,int);
! 2504: char *index(char *,int);
! 2505: #endif
! 2506:
! 2507: void chsgnnbp(NBP p,NBP *rp);
! 2508: void subnbp(VL vl,NBP p1,NBP p2, NBP *rp);
! 2509: void addnbp(VL vl,NBP p1,NBP p2, NBP *rp);
! 2510: void mulnbp(VL vl,NBP p1,NBP p2, NBP *rp);
! 2511: void pwrnbp(VL vl,NBP p1,Z n, NBP *rp);
! 2512: int compnbp(VL vl,NBP p1,NBP p2);
! 2513:
! 2514: #define WORDSIZE_IN_N(a) (ABS((a)->_mp_size)*GMP_LIMB_BITS/32)
! 2515:
! 2516: #define MPZTOZ(g,q) (!mpz_sgn(g)?((q)=0):(NEWZ(q),BDY(q)[0]=(g)[0],(q)))
! 2517: #define MPDNTOQ(n,d,q) (NEWQ(q),mpq_numref(BDY(q))[0]=(n)[0],mpq_denref(BDY(q))[0]=(d)[0],(q))
! 2518: #define MPQTOQ(g,q) (!mpq_sgn(g)?((q)=0):(NEWQ(q),BDY(q)[0]=(g)[0],(q)))
! 2519:
! 2520: #define INTMPQ(a) (!mpz_cmp_ui(mpq_denref(a),1))
! 2521: #define INTQ(a) ((a)&&NUM(a)&&((Q)a)->z==1)
! 2522: #define UNIQ(a) (INTQ(a)&&!mpz_cmp_si(BDY((Z)a),1))
! 2523: #define MUNIQ(a) (INTQ(a)&&!mpz_cmp_si(BDY((Z)a),-1))
! 2524:
! 2525: #define MPZTOMPQ(z,q) (mpq_init(q),mpq_numref(q)[0] = (z)[0],mpz_set_ui(mpq_denref(q),1))
! 2526:
! 2527: #define MPFRTOBF(g,q) (NEWBF(q),BDY(q)[0]=(g)[0],(q))
! 2528:
! 2529: void *gc_realloc(void *p,size_t osize,size_t nsize);
! 2530: void gc_free(void *p,size_t size);
! 2531: void init_gmpq();
! 2532: Q mpqtozq(mpq_t a);
! 2533: void addz(Z n1,Z n2,Z *nr);
! 2534: void subz(Z n1,Z n2,Z *nr);
! 2535: void mulz(Z n1,Z n2,Z *nr);
! 2536: void mul1z(Z n1,long n2,Z *nr);
! 2537: void muladdtoz(Z n1,Z n2,Z *nr);
! 2538: void mul1addtoz(Z n1,long n2,Z *nr);
! 2539: void divz(Z n1,Z n2,Z *nq);
! 2540: void divqrz(Z n1,Z n2,Z *nq,Z *nr);
! 2541: void remz(Z n1,Z n2,Z *nr);
! 2542: void invz(Z n1,Z n2,Z *nr);
! 2543: void chsgnz(Z n,Z *nr);
! 2544: void absz(Z n,Z *nr);
! 2545: int evenz(Z n);
! 2546: int smallz(Z n);
! 2547: void bshiftz(Z n,int s,Z *nr);
! 2548: void pwrz(Z n1,Z n,Z *nr);
! 2549: int cmpz(Z q1,Z q2);
! 2550: void gcdz(Z n1,Z n2,Z *nq);
! 2551: void lcmz(Z n1,Z n2,Z *nq);
! 2552: void gcdvz(VECT v,Z *q);
! 2553: void gcdvz_estimate(VECT v,Z *q);
! 2554: void factorialz(unsigned int n,Z *nr);
! 2555: void randomz(int blen,Z *nr);
! 2556: int tstbitz(Z n,int k);
! 2557: void addq(Q n1,Q n2,Q *nr);
! 2558: void subq(Q n1,Q n2,Q *nr);
! 2559: void mulq(Q n1,Q n2,Q *nr);
! 2560: void divq(Q n1,Q n2,Q *nq);
! 2561: void chsgnq(Q n,Q *nr);
! 2562: void absq(Q n,Q *nr);
! 2563: void pwrq(Q n1,Q n,Q *nr);
! 2564: int cmpq(Q n1,Q n2);
! 2565: void mkwc(int k,int l,Z *t);
! 2566: unsigned int remqi(Q n,unsigned int m);
! 2567: void nmq(Q q,Z *z);
! 2568: void dnq(Q q,Z *z);
! 2569: void _mdtodp(DP p,DP *pr);
! 2570: void add_denomlist(P f);
! 2571: void algobjtorat(Obj f,Obj *r);
! 2572: void algtodalg(Alg a,DAlg *r);
! 2573: void appenduflist(NODE n);
! 2574: void arf_add(VL,Obj,Obj,Obj *);
! 2575: void arf_chsgn(Obj,Obj *);
! 2576: void arf_div(VL,Obj,Obj,Obj *);
! 2577: void arf_mul(VL,Obj,Obj,Obj *);
! 2578: void arf_sub(VL,Obj,Obj,Obj *);
! 2579: void asir_terminate(int);
! 2580: void check_intr();
! 2581: void clctalg(P,VL *);
! 2582: void comm_muld_trunc(VL vl,DP p1,DP p2,DL dl,DP *pr);
! 2583: void comm_quod(VL vl,DP p1,DP p2,DP *pr);
! 2584: void create_modorder_spec(int id,LIST shift,struct modorder_spec **s);
! 2585: void dalgtoalg(DAlg da,Alg *r);
! 2586: void divsz(Z n1,Z n2,Z *nq);
! 2587: void dp_ht(DP p,DP *rp);
! 2588: void dp_interreduce(LIST f,LIST v,int field,struct order_spec *ord,LIST *rp);
! 2589: void dp_mbase(NODE,NODE *);
! 2590: void dp_nf_tab_f(DP p,LIST *tab,DP *rp);
! 2591: void dp_ptozp(DP,DP *);
! 2592: void dp_sort(DP p,DP *rp);
! 2593: void dp_subd(DP,DP,DP *);
! 2594: void dp_true_nf(NODE,DP,DP *,int,DP *,P *);
! 2595: void dp_true_nf_marked(NODE b,DP g,DP *ps,DP *hps,DP *rp,P *nmp,P *dnp);
! 2596: void dp_true_nf_marked_mod(NODE b,DP g,DP *ps,DP *hps,int mod,DP *rp,P *dnp);
! 2597: void gbcheck_list(NODE f,int n,VECT *gp,LIST *pp);
! 2598: void gcdsf(VL vl,P *pa,int k,P *r);
! 2599: void get_algtree(Obj f,VL *r);
! 2600: void get_vars(Obj,VL *);
! 2601: void gfstopgfs(GFS a,V v,P *c);
! 2602: void henmain_incremental(LUM f,LUM *bqlist,ML cqlist, int np, int mod, int start, int bound);
! 2603: void iftogfs(int n,GFS *c);
! 2604: void indextogfs(int index,GFS *c);
! 2605: void init_denomlist();
! 2606: void inva_chrem(P p0,P p,NODE *pr);
! 2607: void itogfs(int n,GFS *c);
! 2608: void makevar(char *,P *);
! 2609: void mdtodp(DP p,DP *pr);
! 2610: void mfctrsf(VL vl,P f,DCP *dcp);
! 2611: void mulp_trunc(VL vl,P p1,P p2,VN vn,P *pr);
! 2612: void nd_det(int mod,MAT f,P *rp);
! 2613: void nd_gr(LIST f,LIST v,int m,int homo,int retdp,int f4,struct order_spec *ord,LIST *rp);
! 2614: void nd_gr_postproc(LIST f,LIST v,int m,struct order_spec *ord,int do_check,LIST *rp);
! 2615: void nd_gr_recompute_trace(LIST f,LIST v,int m,struct order_spec *ord,LIST tlist,LIST *rp);
! 2616: void nd_gr_trace(LIST f,LIST v,int trace,int homo,int f4,struct order_spec *ord,LIST *rp);
! 2617: void nd_nf_p(Obj f,LIST g,LIST v,int m,struct order_spec *ord,Obj *rp);
! 2618: void obj_algtodalg(Obj obj,Obj *r);
! 2619: void obj_dalgtoalg(Obj obj,Obj *r);
! 2620: void ox_bcast_102(int root);
! 2621: void ox_reduce_102(int root,void (*func)());
! 2622: void print_to_wfep(Obj obj);
! 2623: void printz(Z n);
! 2624: void pthrootgfs(GFS a,GFS *b);
! 2625: void quop_trunc(VL vl,P p1,P p2,VN vn,P *pr);
! 2626: void red_by_vect_sf(int m,unsigned int *p,unsigned int *r,unsigned int hc,int len);
! 2627: void red_by_vect_lf(mpz_t *p,mpz_t *r,mpz_t hc,int len);
! 2628: void removecont_array(P *c,int n,int full);
! 2629: void reset_top_weight();
! 2630: void setfield_dalg(NODE alist);
! 2631: void setfield_gb(NODE gb,VL vl,struct order_spec *spec);
! 2632: void setsecuremode(int value);
! 2633: void sfbfctr_shift(P f,V x,V y,int degbound,GFS *evp,P *sfp,DCP *dcp);
! 2634: void sfexgcd_by_hensel(BM g,BM h,int dy,BM *ap,BM *bp);
! 2635: void sfptopsfp(P f,V v,P *gp);
! 2636: void simpdalg(DAlg da,DAlg *r);
! 2637: void simple_derivr(VL vl,Obj a,V v,Obj *b);
! 2638: void substpp(VL vl,P p,V *vvect,P *svect,int nv,P *pr);
! 2639: void ufctrsf(P p,DCP *dcp);
! 2640: void vltopl(VL vl,LIST *l);
! 2641:
! 2642: int arf_comp(VL, Obj, Obj);
! 2643: int available_mcindex(int ind);
! 2644: int compare_zero(int n,int *u,int row,int **w);
! 2645: int create_composite_order_spec(VL vl,LIST order,struct order_spec **specp);
! 2646: int create_order_spec(VL,Obj,struct order_spec **);
! 2647: int dalgtoup(DAlg da,P *up,Z *dn);
! 2648: int dl_equal(int nv,DL dl1,DL dl2);
! 2649: int dp_redble(DP,DP);
! 2650: int dpv_hp(DPV p);
! 2651: int generic_gauss_elim(MAT mat,MAT *nm,Z *dn,int **rindp,int **cindp);
! 2652: int generic_gauss_elim2(MAT mat,MAT *nm,Z *dn,int **rindp,int **cindp);
! 2653: int generic_gauss_elim_full(MAT mat,MAT *nm,Z *dn,int **rindp,int **cindp);
! 2654: int generic_gauss_elim_direct(MAT mat,MAT *nm,Z *dn,int **rindp,int **cindp);
! 2655: int generic_gauss_elim_hensel(MAT mat,MAT *nmmat,Z *dn,int **rindp,int **cindp);
! 2656: int generic_gauss_elim_hensel_dalg(MAT mat,DP *mb,MAT *nmmat,Z *dn,int **rindp,int **cindp);
! 2657: int generic_gauss_elim_mod(int **mat0,int row,int col,int md,int *colstat);
! 2658: int generic_gauss_elim_mod2(int **mat0,int row,int col,int md,int *colstat,int *rowstat);
! 2659: int get_field_type(P p);
! 2660: int get_ox_server_id(int index);
! 2661: int getsecuremode();
! 2662: int find_lhs_and_lu_mod(unsigned int **a,int row,int col,unsigned int md,int **rinfo,int **cinfo);
! 2663: void solve_by_lu_mod(int **a,int n,int md,int **b,int l,int normalize);
! 2664: int inttorat(Z c,Z m,Z b,Z *nmp,Z *dnp);
! 2665: int intvtoratv(Z *v,int n,Z md,Z b,Z *nm,Z *dn);
! 2666: int intmtoratm(MAT mat,Z md,MAT nm,Z *dn);
! 2667: int intmtoratm2(MAT mat,Z md,MAT nm,Z *dn,int *stat);
! 2668: int gensolve_check(MAT mat,MAT nm,Z dn,int *rind,int *cind);
! 2669: int gensolve_check2(MAT mat,MAT nm,Z *dn,int *rind,int *cind);
! 2670: int invdalg(DAlg a,DAlg *c);
! 2671: int is_eq(Obj a0,Obj a1);
! 2672: int length(NODE);
! 2673: int lu_mod(unsigned int **a,int n,unsigned int md,int **rinfo);
! 2674: int n_bits_z(Z a);
! 2675: int nd_gauss_elim_z(Z **mat0,int *sugar,int row,int col,int *colstat);
! 2676: int poly_is_dependent(P p,V v);
! 2677: int setsecureflag(char *name,int value);
! 2678: int sfdegtest(int dy,int bound,UM *d1c,int k,int *in);
! 2679: int sgnz(Z n);
! 2680: int sgnq(Q n);
! 2681: void binarytoz(char *binary,Z *np);
! 2682: void hextoz(char *hex,Z *np);
! 2683: void todouble(Obj,Obj *);
! 2684:
! 2685: void lmtolf(LM f,Z *b);
! 2686:
! 2687: #if defined(VISUAL) || defined(__MINGW32__)
! 2688: void check_intr();
! 2689: void enter_signal_cs();
! 2690: void leave_signal_cs();
! 2691: void leave_signal_cs_all();
! 2692: #define LEAVE_SIGNAL_CS_ALL leave_signal_cs_all()
! 2693: #else
! 2694: #define LEAVE_SIGNAL_CS_ALL
! 2695: #endif
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