Annotation of OpenXM_contrib2/asir2000/builtin/poly.c, Revision 1.30
1.4 noro 1: /*
2: * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED
3: * All rights reserved.
4: *
5: * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited,
6: * non-exclusive and royalty-free license to use, copy, modify and
7: * redistribute, solely for non-commercial and non-profit purposes, the
8: * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and
9: * conditions of this Agreement. For the avoidance of doubt, you acquire
10: * only a limited right to use the SOFTWARE hereunder, and FLL or any
11: * third party developer retains all rights, including but not limited to
12: * copyrights, in and to the SOFTWARE.
13: *
14: * (1) FLL does not grant you a license in any way for commercial
15: * purposes. You may use the SOFTWARE only for non-commercial and
16: * non-profit purposes only, such as academic, research and internal
17: * business use.
18: * (2) The SOFTWARE is protected by the Copyright Law of Japan and
19: * international copyright treaties. If you make copies of the SOFTWARE,
20: * with or without modification, as permitted hereunder, you shall affix
21: * to all such copies of the SOFTWARE the above copyright notice.
22: * (3) An explicit reference to this SOFTWARE and its copyright owner
23: * shall be made on your publication or presentation in any form of the
24: * results obtained by use of the SOFTWARE.
25: * (4) In the event that you modify the SOFTWARE, you shall notify FLL by
1.5 noro 26: * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification
1.4 noro 27: * for such modification or the source code of the modified part of the
28: * SOFTWARE.
29: *
30: * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL
31: * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND
32: * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS
33: * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES'
34: * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY
35: * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY.
36: * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT,
37: * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY
38: * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL
39: * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES
40: * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES
41: * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY
42: * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF
43: * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART
44: * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY
45: * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE,
46: * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE.
47: *
1.30 ! noro 48: * $OpenXM: OpenXM_contrib2/asir2000/builtin/poly.c,v 1.29 2018/03/28 05:27:22 noro Exp $
1.4 noro 49: */
1.1 noro 50: #include "ca.h"
51: #include "parse.h"
52: #include "base.h"
53:
54: void Pranp();
55:
1.20 noro 56: void Pheadsgn();
1.21 noro 57: void Pmul_trunc(),Pquo_trunc();
1.1 noro 58: void Pumul(),Pumul_ff(),Pusquare(),Pusquare_ff(),Putmul(),Putmul_ff();
59: void Pkmul(),Pksquare(),Pktmul();
1.22 noro 60: void Pord(), Premove_vars(), Pcoef0(), Pcoef(), Pdeg(), Pmindeg(), Psetmod();
1.1 noro 61: void Pcoef_gf2n();
62: void getcoef(), getdeglist(), mergedeglist(), change_mvar(), restore_mvar();
63:
1.2 noro 64: void Pp_mag(),Pmaxblen();
1.1 noro 65: void Pmergelist(), Pch_mv(), Pre_mv(), Pdeglist();
66: void Pptomp(),Pmptop();
67: void Pptolmp(),Plmptop();
1.12 noro 68: void Pptosfp(),Psfptop(),Psf_galois_action(),Psf_embed(),Psf_find_root();
1.18 noro 69: void Psf_minipoly(),Psf_log(),Psfptopsfp();
1.1 noro 70: void Pptogf2n(),Pgf2ntop(),Pgf2ntovect();
71: void Pptogfpn(),Pgfpntop();
72: void Pfind_root_gf2n();
1.2 noro 73: void Pumul_specialmod(),Pusquare_specialmod(),Putmul_specialmod();
1.1 noro 74:
75: void Pureverse(),Putrunc(),Pudecomp(),Purembymul(),Purembymul_precomp();
76: void Puinvmod(),Purevinvmod();
77: void Ppwrmod_ff(),Ppwrtab_ff(),Pgeneric_pwrmod_ff();
78: void Pkpwrmod_lm(),Pkpwrtab_lm(),Pkgeneric_pwrmod_lm();
79:
80: void Pkmulum();
81: void Pksquareum();
82:
83: void Pfmultest();
84: void Phfmul_lm();
85: void Plazy_lm();
86:
87: void Psetmod_ff();
88: void Psimp_ff();
89: void Pextdeg_ff();
90: void Pcharacteristic_ff();
91: void Pfield_type_ff();
92: void Pfield_order_ff();
93: void Prandom_ff();
94:
95: void Ptracemod_gf2n();
96: void Psparsemod_gf2n();
97: void Pmultest_gf2n();
98: void Psquaretest_gf2n();
99: void Pinvtest_gf2n();
100: void Pbininv_gf2n();
101: void Prinvtest_gf2n();
102: void Pis_irred_gf2();
103: void Pis_irred_ddd_gf2();
1.2 noro 104: void Pget_next_fft_prime();
1.3 noro 105: void Puadj_coef();
1.9 noro 106: void Preorder();
107: void Phomogeneous_part();
108: void Phomogeneous_deg();
1.1 noro 109: void simp_ff(Obj,Obj *);
110: void ranp(int,UP *);
111: void field_order_ff(N *);
112:
113: int current_ff;
114:
115: struct ftab poly_tab[] = {
1.30 ! noro 116: {"headsgn",Pheadsgn,1},
! 117: {"quo_trunc",Pquo_trunc,2},
! 118: {"mul_trunc",Pmul_trunc,3},
! 119: {"homogeneous_deg",Phomogeneous_deg,-2},
! 120: {"homogeneous_part",Phomogeneous_part,-3},
! 121: {"reorder",Preorder,3},
! 122: {"uadj_coef",Puadj_coef,3},
! 123: {"ranp",Pranp,2},
! 124: {"p_mag",Pp_mag,1},
! 125: {"maxblen",Pmaxblen,1},
! 126: {"ord",Pord,-1},
! 127: {"remove_vars",Premove_vars,1},
! 128: {"delete_vars",Premove_vars,1},
! 129: {"coef0",Pcoef0,-3},
! 130: {"coef",Pcoef,-3},
! 131: {"coef_gf2n",Pcoef_gf2n,2},
! 132: {"deg",Pdeg,2},
! 133: {"mindeg",Pmindeg,2},
! 134: {"setmod",Psetmod,-1},
! 135:
! 136: {"sparsemod_gf2n",Psparsemod_gf2n,-1},
! 137:
! 138: {"setmod_ff",Psetmod_ff,-3},
! 139: {"simp_ff",Psimp_ff,1},
! 140: {"extdeg_ff",Pextdeg_ff,0},
! 141: {"characteristic_ff",Pcharacteristic_ff,0},
! 142: {"field_type_ff",Pfield_type_ff,0},
! 143: {"field_order_ff",Pfield_order_ff,0},
! 144: {"random_ff",Prandom_ff,0},
! 145:
! 146: {"deglist",Pdeglist,2},
! 147: {"mergelist",Pmergelist,2},
! 148: {"ch_mv",Pch_mv,2},
! 149: {"re_mv",Pre_mv,2},
! 150:
! 151: {"ptomp",Pptomp,-2},
! 152: {"mptop",Pmptop,1},
! 153:
! 154: {"ptolmp",Pptolmp,1},
! 155: {"lmptop",Plmptop,1},
! 156:
! 157: {"sf_galois_action",Psf_galois_action,2},
! 158: {"sf_find_root",Psf_find_root,1},
! 159: {"sf_minipoly",Psf_minipoly,2},
! 160: {"sf_embed",Psf_embed,3},
! 161: {"sf_log",Psf_log,1},
! 162:
! 163: {"ptosfp",Pptosfp,1},
! 164: {"sfptop",Psfptop,1},
! 165: {"sfptopsfp",Psfptopsfp,2},
! 166: {"ptogf2n",Pptogf2n,1},
! 167: {"gf2ntop",Pgf2ntop,-2},
! 168: {"gf2ntovect",Pgf2ntovect,1},
! 169:
! 170: {"ptogfpn",Pptogfpn,1},
! 171: {"gfpntop",Pgfpntop,-2},
! 172:
! 173: {"kmul",Pkmul,2},
! 174: {"ksquare",Pksquare,1},
! 175: {"ktmul",Pktmul,3},
! 176:
! 177: {"umul",Pumul,2},
! 178: {"usquare",Pusquare,1},
! 179: {"ureverse_inv_as_power_series",Purevinvmod,2},
! 180: {"uinv_as_power_series",Puinvmod,2},
! 181:
! 182: {"umul_specialmod",Pumul_specialmod,3},
! 183: {"usquare_specialmod",Pusquare_specialmod,2},
! 184: {"utmul_specialmod",Putmul_specialmod,4},
! 185:
! 186: {"utmul",Putmul,3},
! 187: {"umul_ff",Pumul_ff,2},
! 188: {"usquare_ff",Pusquare_ff,1},
! 189: {"utmul_ff",Putmul_ff,3},
! 190:
! 191: /* for historical reason */
! 192: {"trunc",Putrunc,2},
! 193: {"decomp",Pudecomp,2},
! 194:
! 195: {"utrunc",Putrunc,2},
! 196: {"udecomp",Pudecomp,2},
! 197: {"ureverse",Pureverse,-2},
! 198: {"urembymul",Purembymul,2},
! 199: {"urembymul_precomp",Purembymul_precomp,3},
! 200:
! 201: {"lazy_lm",Plazy_lm,1},
! 202: {"lazy_ff",Plazy_lm,1},
! 203:
! 204: {"pwrmod_ff",Ppwrmod_ff,1},
! 205: {"generic_pwrmod_ff",Pgeneric_pwrmod_ff,3},
! 206: {"pwrtab_ff",Ppwrtab_ff,2},
! 207:
! 208: {"tracemod_gf2n",Ptracemod_gf2n,3},
! 209: {"b_find_root_gf2n",Pfind_root_gf2n,1},
! 210:
! 211: {"is_irred_gf2",Pis_irred_gf2,1},
! 212: {"is_irred_ddd_gf2",Pis_irred_ddd_gf2,1},
! 213:
! 214: {"kpwrmod_lm",Pkpwrmod_lm,1},
! 215: {"kgeneric_pwrmod_lm",Pkgeneric_pwrmod_lm,3},
! 216: {"kpwrtab_lm",Pkpwrtab_lm,2},
! 217:
! 218: {"kmulum",Pkmulum,3},
! 219: {"ksquareum",Pksquareum,2},
! 220:
! 221: {"fmultest",Pfmultest,3},
! 222: {"hfmul_lm",Phfmul_lm,2},
! 223:
! 224: {"multest_gf2n",Pmultest_gf2n,2},
! 225: {"squaretest_gf2n",Psquaretest_gf2n,1},
! 226: {"bininv_gf2n",Pbininv_gf2n,2},
! 227: {"invtest_gf2n",Pinvtest_gf2n,1},
! 228: {"rinvtest_gf2n",Prinvtest_gf2n,0},
! 229: {"get_next_fft_prime",Pget_next_fft_prime,2},
! 230: {0,0,0},
1.1 noro 231: };
1.20 noro 232:
233: void Pheadsgn(NODE arg,Q *rp)
234: {
1.30 ! noro 235: int s;
1.20 noro 236:
1.30 ! noro 237: s = headsgn((P)ARG0(arg));
! 238: STOQ(s,*rp);
1.20 noro 239: }
1.19 noro 240:
241: void Pmul_trunc(NODE arg,P *rp)
242: {
1.30 ! noro 243: P p1,p2,p,h;
! 244: VL vl0,vl1,vl2,tvl,vl;
! 245: VN vn;
! 246: int i,n;
! 247:
! 248: p1 = (P)ARG0(arg);
! 249: p2 = (P)ARG1(arg);
! 250: get_vars((Obj)p1,&vl1); get_vars((Obj)p2,&vl2); mergev(CO,vl1,vl2,&tvl);
! 251: p = (P)ARG2(arg);
! 252: get_vars((Obj)p,&vl0); mergev(CO,tvl,vl0,&vl);
! 253: for ( tvl = vl, n = 0; tvl; tvl = NEXT(tvl), n++ );
! 254: vn = (VN) ALLOCA((n+1)*sizeof(struct oVN));
! 255: for ( i = 0, tvl = vl; i < n; tvl = NEXT(tvl), i++ ) {
! 256: vn[i].v = tvl->v;
! 257: vn[i].n = 0;
! 258: }
! 259: vn[i].v = 0;
! 260: vn[i].n = 0;
! 261: for ( h = p, i = 0; OID(h) == O_P; h = COEF(DC(h)) ) {
! 262: for ( ; vn[i].v != VR(h); i++ );
! 263: vn[i].n = QTOS(DEG(DC(h)));
! 264: }
! 265: mulp_trunc(vl,p1,p2,vn,rp);
1.21 noro 266: }
267:
268: void Pquo_trunc(NODE arg,P *rp)
269: {
1.30 ! noro 270: P p1,p2,p,h;
! 271: VL vl0,vl1,vl2,tvl,vl;
! 272: VN vn;
! 273: int i,n;
! 274:
! 275: p1 = (P)ARG0(arg);
! 276: p2 = (P)ARG1(arg);
! 277: if ( !p1 )
! 278: *rp = 0;
! 279: else if ( NUM(p2) )
! 280: divsp(CO,p1,p2,rp);
! 281: else {
! 282: get_vars((Obj)p1,&vl1); get_vars((Obj)p2,&vl2); mergev(CO,vl1,vl2,&vl);
! 283: for ( tvl = vl, n = 0; tvl; tvl = NEXT(tvl), n++ );
! 284: vn = (VN) ALLOCA((n+1)*sizeof(struct oVN));
! 285: for ( i = 0, tvl = vl; i < n; tvl = NEXT(tvl), i++ ) {
! 286: vn[i].v = tvl->v;
! 287: vn[i].n = 0;
! 288: }
! 289: vn[i].v = 0;
! 290: vn[i].n = 0;
! 291: for ( h = p2, i = 0; OID(h) == O_P; h = COEF(DC(h)) ) {
! 292: for ( ; vn[i].v != VR(h); i++ );
! 293: vn[i].n = QTOS(DEG(DC(h)));
! 294: }
! 295: quop_trunc(vl,p1,p2,vn,rp);
! 296: }
1.19 noro 297: }
1.1 noro 298:
1.16 noro 299: void Phomogeneous_part(NODE arg,P *rp)
1.9 noro 300: {
1.30 ! noro 301: if ( argc(arg) == 2 )
! 302: exthp(CO,(P)ARG0(arg),QTOS((Q)ARG1(arg)),rp);
! 303: else
! 304: exthpc_generic(CO,(P)ARG0(arg),QTOS((Q)ARG2(arg)),
! 305: VR((P)ARG1(arg)),rp);
1.9 noro 306: }
307:
1.16 noro 308: void Phomogeneous_deg(NODE arg,Q *rp)
1.9 noro 309: {
1.30 ! noro 310: int d;
1.9 noro 311:
1.30 ! noro 312: if ( argc(arg) == 1 )
! 313: d = homdeg((P)ARG0(arg));
! 314: else
! 315: d = getchomdeg(VR((P)ARG1(arg)),(P)ARG0(arg));
! 316: STOQ(d,*rp);
1.9 noro 317: }
318:
319: /*
1.30 ! noro 320: p1 = reorder(p,ovl,nvl) => p1 is 'sorted accoding to nvl.
1.9 noro 321: */
322:
1.16 noro 323: void Preorder(NODE arg,P *rp)
1.9 noro 324: {
1.30 ! noro 325: VL ovl,nvl,tvl;
! 326: NODE n;
1.9 noro 327:
1.30 ! noro 328: for ( ovl = 0, n = BDY((LIST)ARG1(arg)); n; n = NEXT(n) ) {
! 329: if ( !ovl ) {
! 330: NEWVL(ovl); tvl = ovl;
! 331: } else {
! 332: NEWVL(NEXT(tvl)); tvl = NEXT(tvl);
! 333: }
! 334: VR(tvl) = VR((P)BDY(n));
! 335: }
! 336: for ( nvl = 0, n = BDY((LIST)ARG2(arg)); n; n = NEXT(n) ) {
! 337: if ( !nvl ) {
! 338: NEWVL(nvl); tvl = nvl;
! 339: } else {
! 340: NEWVL(NEXT(tvl)); tvl = NEXT(tvl);
! 341: }
! 342: VR(tvl) = VR((P)BDY(n));
! 343: }
! 344: reorderp(nvl,ovl,(P)ARG0(arg),rp);
1.9 noro 345: }
1.3 noro 346:
347: /*
1.30 ! noro 348: uadj_coef(F,M,M2)
! 349: if ( F is a non-negative integer )
! 350: return F > M2 ? F-M : M2;
! 351: else
! 352: F = CN*V^N+...+C0
! 353: return uadj_coef(CN,M,M2)*V^N+...+uadj_coef(C0,M,M2);
1.3 noro 354: */
355:
1.16 noro 356: void Puadj_coef(NODE arg,P *rp)
1.3 noro 357: {
1.30 ! noro 358: UP f,r;
! 359: N m,m2;
1.3 noro 360:
1.30 ! noro 361: ptoup((P)ARG0(arg),&f);
! 362: m = NM((Q)ARG1(arg));
! 363: m2 = NM((Q)ARG2(arg));
! 364: adj_coefup(f,m,m2,&r);
! 365: uptop(r,rp);
1.3 noro 366: }
367:
1.2 noro 368: /*
1.30 ! noro 369: get_next_fft_prime(StartIndex,Bits)
! 370: tries to find smallest Index >= StartIndex s.t.
! 371: 2^(Bits-1)|FFTprime[Index]-1
! 372: return [Index,Mod] or 0 (not exist)
1.2 noro 373: */
374:
1.16 noro 375: void Pget_next_fft_prime(NODE arg,LIST *rp)
1.2 noro 376: {
1.30 ! noro 377: unsigned int mod,d;
! 378: int start,bits,i;
! 379: NODE n;
! 380: Q q,ind;
! 381:
! 382: start = QTOS((Q)ARG0(arg));
! 383: bits = QTOS((Q)ARG1(arg));
! 384: for ( i = start; ; i++ ) {
! 385: get_fft_prime(i,&mod,&d);
! 386: if ( !mod ) {
! 387: *rp = 0; return;
! 388: }
! 389: if ( bits <= (int)d ) {
! 390: UTOQ(mod,q);
! 391: UTOQ(i,ind);
! 392: n = mknode(2,ind,q);
! 393: MKLIST(*rp,n);
! 394: return;
! 395: }
! 396: }
1.2 noro 397: }
1.1 noro 398:
1.16 noro 399: void Pranp(NODE arg,P *rp)
1.1 noro 400: {
1.30 ! noro 401: int n;
! 402: UP c;
1.1 noro 403:
1.30 ! noro 404: n = QTOS((Q)ARG0(arg));
! 405: ranp(n,&c);
! 406: if ( c ) {
! 407: up_var = VR((P)ARG1(arg));
! 408: uptop(c,rp);
! 409: } else
! 410: *rp = 0;
1.1 noro 411: }
412:
1.16 noro 413: void ranp(int n,UP *nr)
1.1 noro 414: {
1.30 ! noro 415: int i;
! 416: unsigned int r;
! 417: Q q;
! 418: UP c;
! 419:
! 420: *nr = c = UPALLOC(n);
! 421: for ( i = 0; i <= n; i++ ) {
! 422: r = random();
! 423: UTOQ(r,q);
! 424: c->c[i] = (Num)q;
! 425: }
! 426: for ( i = n; i >= 0 && !c->c[i]; i-- );
! 427: if ( i >= 0 )
! 428: c->d = i;
! 429: else
! 430: *nr = 0;
1.1 noro 431: }
432:
1.16 noro 433: void Pmaxblen(NODE arg,Q *rp)
1.2 noro 434: {
1.30 ! noro 435: int l;
! 436: l = maxblenp(ARG0(arg));
! 437: STOQ(l,*rp);
1.2 noro 438: }
439:
1.16 noro 440: void Pp_mag(NODE arg,Q *rp)
1.1 noro 441: {
1.30 ! noro 442: int l;
! 443: l = p_mag(ARG0(arg));
! 444: STOQ(l,*rp);
1.1 noro 445: }
446:
1.16 noro 447: void Pord(NODE arg,LIST *listp)
1.1 noro 448: {
1.30 ! noro 449: NODE n,tn,p,opt;
! 450: char *key;
! 451: Obj value;
! 452: int overwrite=0;
! 453: LIST l;
! 454: VL vl,tvl,svl;
! 455: P t;
! 456: int i,j;
! 457: V *va;
! 458: V v;
1.1 noro 459:
1.29 noro 460: #if 0
1.28 noro 461: printf("LASTCO="); printv(CO,LASTCO->v); printf("\n");
1.29 noro 462: #endif
1.30 ! noro 463: if ( current_option ) {
! 464: for ( opt = current_option; opt; opt = NEXT(opt) ) {
! 465: p = BDY((LIST)BDY(opt));
! 466: key = BDY((STRING)BDY(p));
! 467: value = (Obj)BDY(NEXT(p));
! 468: if ( !strcmp(key,"overwrite") && value ) {
! 469: overwrite = value ? 1 : 0;
! 470: break;
! 471: }
! 472: }
! 473: }
! 474:
! 475: if ( argc(arg) ) {
! 476: asir_assert(ARG0(arg),O_LIST,"ord");
! 477: for ( vl = 0, i = 0, n = BDY((LIST)ARG0(arg));
! 478: n; n = NEXT(n), i++ ) {
! 479: if ( !vl ) {
! 480: NEWVL(vl); tvl = vl;
! 481: } else {
! 482: NEWVL(NEXT(tvl)); tvl = NEXT(tvl);
! 483: }
! 484: if ( !(t = (P)BDY(n)) || (OID(t) != O_P) )
! 485: error("ord : invalid argument");
! 486: VR(tvl) = VR(t);
! 487: }
! 488: if ( !overwrite ) {
! 489: va = (V *)ALLOCA(i*sizeof(V));
! 490: for ( j = 0, svl = vl; j < i; j++, svl = NEXT(svl) )
! 491: va[j] = VR(svl);
! 492: for ( svl = CO; svl; svl = NEXT(svl) ) {
! 493: v = VR(svl);
! 494: for ( j = 0; j < i; j++ )
! 495: if ( v == va[j] )
! 496: break;
! 497: if ( j == i ) {
! 498: if ( !vl ) {
! 499: NEWVL(vl); tvl = vl;
! 500: } else {
! 501: NEWVL(NEXT(tvl)); tvl = NEXT(tvl);
! 502: }
! 503: VR(tvl) = v;
! 504: }
! 505: }
! 506: } else {
! 507: for ( svl = vl; svl; svl = NEXT(svl) ) {
! 508: if ( svl->v->attr == (pointer)V_PF )
! 509: ((PFINS)svl->v->priv)->pf->ins = 0;
! 510: }
! 511: }
! 512: if ( vl )
! 513: NEXT(tvl) = 0;
! 514: CO = vl;
! 515: update_LASTCO();
! 516: }
! 517: for ( n = 0, vl = CO; vl; vl = NEXT(vl) ) {
! 518: NEXTNODE(n,tn); MKV(VR(vl),t); BDY(tn) = (pointer)t;
! 519: }
! 520: NEXT(tn) = 0; MKLIST(l,n); *listp = l;
1.1 noro 521: }
522:
1.22 noro 523: void Premove_vars(NODE arg,LIST *listp)
524: {
1.30 ! noro 525: NODE l,nd,tnd;
! 526: V *v,*va;
! 527: int n,na,i,j;
! 528: VL vl,vl1;
! 529: P t;
! 530: LIST list;
! 531:
! 532: asir_assert(ARG0(arg),O_LIST,"remove_vars");
! 533: l = BDY((LIST)ARG0(arg)); n = length(l);
! 534: v = (V *)ALLOCA(n*sizeof(V));
! 535: for ( i = 0; i < n; i++, l = NEXT(l) )
! 536: if ( !(t = (P)BDY(l)) || (OID(t) != O_P) )
! 537: error("ord : invalid argument");
! 538: else v[i] = VR(t);
! 539:
! 540: for ( na = 0, vl = CO; vl; vl = NEXT(vl), na++ );
! 541: va = (V *)ALLOCA(na*sizeof(V));
! 542: for ( i = 0, vl = CO; i < na; i++, vl = NEXT(vl) ) va[i] = VR(vl);
! 543: for ( i = 0; i < na; i++ )
! 544: for ( j = 0; j < n; j++ ) if ( va[i] == v[j] ) va[i] = 0;
! 545: for ( vl = 0, i = na-1; i >= 0; i-- )
! 546: if ( va[i] ) {
! 547: NEWVL(vl1); VR(vl1) = va[i]; NEXT(vl1) = vl; vl = vl1;
! 548: }
! 549: CO = vl;
! 550: for ( nd = 0, vl = CO; vl; vl = NEXT(vl) ) {
! 551: NEXTNODE(nd,tnd); MKV(VR(vl),t); BDY(tnd) = (pointer)t;
! 552: }
! 553: if ( nd ) NEXT(tnd) = 0;
! 554: MKLIST(list,nd); *listp = list;
1.22 noro 555: }
556:
1.16 noro 557: void Pcoef0(NODE arg,Obj *rp)
1.1 noro 558: {
1.30 ! noro 559: Obj t,n;
! 560: P s;
! 561: DCP dc;
! 562: int id;
! 563: V v;
! 564: VL vl;
! 565:
! 566: if ( !(t = (Obj)ARG0(arg)) || ((id = OID(ARG0(arg))) > O_P) )
! 567: *rp = 0;
! 568: else if ( (n = (Obj)ARG1(arg)) && (OID(n) > O_N) )
! 569: *rp = 0;
! 570: else if ( id == O_N )
! 571: if ( !n )
! 572: *rp = t;
! 573: else
! 574: *rp = 0;
! 575: else {
! 576: if ( argc(arg) == 3 ) {
! 577: if ( (v = VR((P)ARG2(arg))) != VR((P)t) ) {
! 578: reordvar(CO,v,&vl); reorderp(vl,CO,(P)t,&s);
! 579: } else
! 580: s = (P)t;
! 581: if ( VR(s) != v ) {
! 582: if ( n )
! 583: *rp = 0;
! 584: else
! 585: *rp = t;
! 586: return;
! 587: }
! 588: } else
! 589: s = (P)t;
! 590: for ( dc = DC(s); dc && cmpq(DEG(dc),(Q)n); dc = NEXT(dc) );
! 591: if ( dc )
! 592: *rp = (Obj)COEF(dc);
! 593: else
! 594: *rp = 0;
! 595: }
1.1 noro 596: }
597:
1.16 noro 598: void Pcoef(NODE arg,Obj *rp)
1.1 noro 599: {
1.30 ! noro 600: Obj t,n;
! 601: P s;
! 602: DCP dc;
! 603: int id;
! 604: V v;
! 605:
! 606: if ( !(t = (Obj)ARG0(arg)) || ((id = OID(ARG0(arg))) > O_P) )
! 607: *rp = 0;
! 608: else if ( (n = (Obj)ARG1(arg)) && (OID(n) > O_N) )
! 609: *rp = 0;
! 610: else if ( id == O_N ) {
! 611: if ( !n )
! 612: *rp = t;
! 613: else
! 614: *rp = 0;
! 615: } else {
! 616: if ( argc(arg) == 3 ) {
! 617: if ( (v = VR((P)ARG2(arg))) != VR((P)t) ) {
! 618: getcoef(CO,(P)t,v,(Q)n,(P *)rp); return;
! 619: } else
! 620: s = (P)t;
! 621: if ( VR(s) != v ) {
! 622: if ( n )
! 623: *rp = 0;
! 624: else
! 625: *rp = t;
! 626: return;
! 627: }
! 628: } else
! 629: s = (P)t;
! 630: for ( dc = DC(s); dc && cmpq(DEG(dc),(Q)n); dc = NEXT(dc) );
! 631: if ( dc )
! 632: *rp = (Obj)COEF(dc);
! 633: else
! 634: *rp = 0;
! 635: }
1.1 noro 636: }
637:
1.16 noro 638: void Pcoef_gf2n(NODE arg,Obj *rp)
1.1 noro 639: {
1.30 ! noro 640: Obj t,n;
! 641: int id,d;
! 642: UP2 up2;
! 643:
! 644: if ( !(t = (Obj)ARG0(arg)) || ((id = OID(ARG0(arg))) > O_P) )
! 645: *rp = 0;
! 646: else if ( (n = (Obj)ARG1(arg)) && (OID(n) > O_N) )
! 647: *rp = 0;
! 648: else if ( id == O_N && NID((Num)t) == N_GF2N ) {
! 649: d = QTOS((Q)n);
! 650: up2 = ((GF2N)t)->body;
! 651: if ( d > degup2(up2) )
! 652: *rp = 0;
! 653: else
! 654: *rp = (Obj)(up2->b[d/BSH]&(((unsigned long)1)<<(d%BSH))?ONE:0);
! 655: } else
! 656: *rp = 0;
1.1 noro 657: }
658:
1.16 noro 659: void Pdeg(NODE arg,Q *rp)
1.1 noro 660: {
1.30 ! noro 661: Obj t,v;
! 662: int d;
1.1 noro 663:
664: #if 0
1.30 ! noro 665: if ( !(t = (Obj)ARG0(arg)) || (OID(t) != O_P) )
! 666: *rp = 0;
! 667: else if ( !(v = (Obj)ARG1(arg)) || (VR((P)v) != VR((P)t)) )
! 668: *rp = 0;
! 669: else
! 670: *rp = (Obj)DEG(DC((P)t));
1.1 noro 671: #endif
1.30 ! noro 672: if ( !(t = (Obj)ARG0(arg)) )
! 673: STOQ(-1,*rp);
! 674: else if ( OID(t) != O_P ) {
! 675: if ( OID(t) == O_N && NID(t) == N_GF2N
! 676: && (v=(Obj)ARG1(arg)) && OID(v)== O_N && NID(v) == N_GF2N ) {
! 677: d = degup2(((GF2N)t)->body);
! 678: STOQ(d,*rp);
! 679: } else
! 680: *rp = 0;
! 681: } else
! 682: degp(VR((P)ARG1(arg)),(P)ARG0(arg),rp);
1.1 noro 683: }
684:
1.16 noro 685: void Pmindeg(NODE arg,Q *rp)
1.1 noro 686: {
1.30 ! noro 687: Obj t;
1.1 noro 688:
1.30 ! noro 689: if ( !(t = (Obj)ARG0(arg)) || (OID(t) != O_P) )
! 690: *rp = 0;
! 691: else
! 692: getmindeg(VR((P)ARG1(arg)),(P)ARG0(arg),rp);
1.1 noro 693: }
694:
1.16 noro 695: void Psetmod(NODE arg,Q *rp)
1.1 noro 696: {
1.30 ! noro 697: if ( arg ) {
! 698: asir_assert(ARG0(arg),O_N,"setmod");
! 699: current_mod = QTOS((Q)ARG0(arg));
! 700: }
! 701: STOQ(current_mod,*rp);
1.1 noro 702: }
703:
1.16 noro 704: void Psparsemod_gf2n(NODE arg,Q *rp)
1.1 noro 705: {
1.30 ! noro 706: int id;
1.1 noro 707:
1.30 ! noro 708: if ( arg && current_mod_gf2n )
! 709: current_mod_gf2n->id = ARG0(arg)?1:0;
! 710: if ( !current_mod_gf2n )
! 711: id = -1;
! 712: else
! 713: id = current_mod_gf2n->id;
! 714: STOQ(id,*rp);
1.1 noro 715: }
716:
1.16 noro 717: void Pmultest_gf2n(NODE arg,GF2N *rp)
1.1 noro 718: {
1.30 ! noro 719: GF2N a,b,c;
! 720: int i;
1.1 noro 721:
1.30 ! noro 722: a = (GF2N)ARG0(arg); b = (GF2N)ARG0(arg);
! 723: for ( i = 0; i < 10000; i++ )
! 724: mulgf2n(a,b,&c);
! 725: *rp = c;
1.1 noro 726: }
727:
1.16 noro 728: void Psquaretest_gf2n(NODE arg,GF2N *rp)
1.1 noro 729: {
1.30 ! noro 730: GF2N a,c;
! 731: int i;
1.1 noro 732:
1.30 ! noro 733: a = (GF2N)ARG0(arg);
! 734: for ( i = 0; i < 10000; i++ )
! 735: squaregf2n(a,&c);
! 736: *rp = c;
1.1 noro 737: }
738:
1.16 noro 739: void Pinvtest_gf2n(NODE arg,GF2N *rp)
1.1 noro 740: {
1.30 ! noro 741: GF2N a,c;
! 742: int i;
1.1 noro 743:
1.30 ! noro 744: a = (GF2N)ARG0(arg);
! 745: for ( i = 0; i < 10000; i++ )
! 746: invgf2n(a,&c);
! 747: *rp = c;
1.1 noro 748: }
749:
1.16 noro 750: void Pbininv_gf2n(NODE arg,GF2N *rp)
1.1 noro 751: {
1.30 ! noro 752: UP2 a,inv;
! 753: int n;
1.1 noro 754:
1.30 ! noro 755: a = ((GF2N)ARG0(arg))->body;
! 756: n = QTOS((Q)ARG1(arg));
! 757: type1_bin_invup2(a,n,&inv);
! 758: MKGF2N(inv,*rp);
1.1 noro 759: }
760:
1.16 noro 761: void Prinvtest_gf2n(Real *rp)
1.1 noro 762: {
1.30 ! noro 763: GF2N *a;
! 764: GF2N c;
! 765: double t0,t1,r;
! 766: int i;
! 767: double get_clock();
! 768:
! 769: a = (GF2N *)ALLOCA(1000*sizeof(GF2N));
! 770: for ( i = 0; i < 1000; i++ ) {
! 771: randomgf2n(&a[i]);
! 772: }
! 773: t0 = get_clock();
! 774: for ( i = 0; i < 1000; i++ )
! 775: invgf2n(a[i],&c);
! 776: t1 = get_clock();
! 777: r = (t1-t0)/1000;
! 778: MKReal(r,*rp);
1.1 noro 779: }
780:
1.16 noro 781: void Pfind_root_gf2n(NODE arg,GF2N *rp)
1.1 noro 782: {
783:
784: #if 0
1.30 ! noro 785: UP p;
1.1 noro 786:
1.30 ! noro 787: ptoup((P)ARG0(arg),&p);
! 788: find_root_gf2n(p,rp);
1.1 noro 789: #else
1.30 ! noro 790: UP2 p;
1.1 noro 791:
1.30 ! noro 792: ptoup2((P)ARG0(arg),&p);
! 793: find_root_up2(p,rp);
1.1 noro 794: #endif
795: }
796:
1.16 noro 797: void Pis_irred_gf2(NODE arg,Q *rp)
1.1 noro 798: {
1.30 ! noro 799: UP2 t;
1.1 noro 800:
1.30 ! noro 801: ptoup2(ARG0(arg),&t);
! 802: *rp = irredcheckup2(t) ? ONE : 0;
1.1 noro 803: }
804:
1.16 noro 805: void Pis_irred_ddd_gf2(NODE arg,Q *rp)
1.1 noro 806: {
1.30 ! noro 807: UP2 t;
! 808: int ret;
1.1 noro 809:
1.30 ! noro 810: ptoup2(ARG0(arg),&t);
! 811: ret = irredcheck_dddup2(t);
! 812: STOQ(ret,*rp);
1.1 noro 813: }
814:
1.16 noro 815: void Psetmod_ff(NODE arg,Obj *rp)
1.1 noro 816: {
1.30 ! noro 817: int ac;
! 818: int d;
! 819: Obj mod,defpoly;
! 820: N n;
! 821: UP up;
! 822: UP2 up2;
! 823: UM dp;
! 824: Q q,r;
! 825: P p,p1,y;
! 826: NODE n0,n1;
! 827: LIST list;
! 828:
! 829: ac = argc(arg);
! 830: if ( ac == 1 ) {
! 831: mod = (Obj)ARG0(arg);
! 832: if ( !mod )
1.26 noro 833: current_ff = FF_NOT_SET;
834: else {
1.30 ! noro 835: switch ( OID(mod) ) {
! 836: case O_N:
! 837: current_ff = FF_GFP;
! 838: setmod_lm(NM((Q)mod));
! 839: break;
! 840: case O_P:
! 841: current_ff = FF_GF2N;
! 842: setmod_gf2n((P)mod); break;
! 843: default:
! 844: error("setmod_ff : invalid argument");
! 845: }
! 846: }
! 847: } else if ( ac == 2 ) {
! 848: if ( OID(ARG0(arg)) == O_N ) {
! 849: /* small finite field; primitive root representation */
! 850: current_ff = FF_GFS;
! 851: setmod_sf(QTOS((Q)ARG0(arg)),QTOS((Q)ARG1(arg)));
! 852: } else {
! 853: mod = (Obj)ARG1(arg);
! 854: current_ff = FF_GFPN;
! 855: defpoly = (Obj)ARG0(arg);
! 856: if ( !mod || !defpoly )
! 857: error("setmod_ff : invalid argument");
! 858: setmod_lm(NM((Q)mod));
! 859: setmod_gfpn((P)defpoly);
! 860: }
! 861: } else if ( ac == 3 ) {
! 862: /* finite extension of a small finite field */
! 863: current_ff = FF_GFS;
! 864: setmod_sf(QTOS((Q)ARG0(arg)),QTOS((Q)ARG1(arg)));
! 865: d = QTOS((Q)ARG2(arg));
! 866: generate_defpoly_sfum(d,&dp);
! 867: setmod_gfsn(dp);
! 868: current_ff = FF_GFSN;
! 869: }
! 870: switch ( current_ff ) {
! 871: case FF_GFP:
! 872: getmod_lm(&n); NTOQ(n,1,q); *rp = (Obj)q; break;
! 873: case FF_GF2N:
! 874: getmod_gf2n(&up2); up2top(up2,&p); *rp = (Obj)p; break;
! 875: case FF_GFPN:
! 876: getmod_lm(&n); NTOQ(n,1,q);
! 877: getmod_gfpn(&up); uptop(up,&p);
! 878: MKNODE(n1,q,0); MKNODE(n0,p,n1);
! 879: MKLIST(list,n0);
! 880: *rp = (Obj)list; break;
! 881: case FF_GFS:
! 882: case FF_GFSN:
! 883: STOQ(current_gfs_p,q);
! 884: if ( current_gfs_ext )
! 885: enc_to_p(current_gfs_p,current_gfs_iton[1],
! 886: VR(current_gfs_ext),&p);
! 887: else {
! 888: if ( current_gfs_p == 2 )
! 889: r = ONE;
! 890: else if ( !current_gfs_ntoi )
! 891: r = 0;
! 892: else
! 893: STOQ(current_gfs_iton[1],r);
! 894: p = (P)r;
1.26 noro 895: }
1.30 ! noro 896: switch ( current_ff ) {
! 897: case FF_GFS:
! 898: n0 = mknode(3,q,current_gfs_ext,p);
! 899: break;
! 900: case FF_GFSN:
! 901: getmod_gfsn(&dp);
! 902: makevar("y",&y);
! 903: sfumtop(VR(y),dp,&p1);
! 904: n0 = mknode(4,q,current_gfs_ext,p,p1);
! 905: break;
! 906: }
! 907: MKLIST(list,n0);
! 908: *rp = (Obj)list; break;
! 909: default:
! 910: *rp = 0; break;
! 911: }
1.1 noro 912: }
913:
1.16 noro 914: void Pextdeg_ff(Q *rp)
1.1 noro 915: {
1.30 ! noro 916: int d;
! 917: UP2 up2;
! 918: UP up;
! 919: UM dp;
! 920:
! 921: switch ( current_ff ) {
! 922: case FF_GFP:
! 923: *rp = ONE; break;
! 924: case FF_GF2N:
! 925: getmod_gf2n(&up2); d = degup2(up2); STOQ(d,*rp); break;
! 926: case FF_GFPN:
! 927: getmod_gfpn(&up); STOQ(up->d,*rp); break;
! 928: case FF_GFS:
! 929: if ( !current_gfs_ext )
! 930: *rp = ONE;
! 931: else
! 932: *rp = DEG(DC(current_gfs_ext));
! 933: break;
! 934: case FF_GFSN:
! 935: getmod_gfsn(&dp);
! 936: STOQ(DEG(dp),*rp);
! 937: break;
! 938: default:
! 939: error("extdeg_ff : current_ff is not set");
! 940: }
1.1 noro 941: }
942:
1.16 noro 943: void Pcharacteristic_ff(Q *rp)
1.1 noro 944: {
1.30 ! noro 945: N lm;
1.1 noro 946:
1.30 ! noro 947: switch ( current_ff ) {
! 948: case FF_GFP:
! 949: case FF_GFPN:
! 950: getmod_lm(&lm); NTOQ(lm,1,*rp); break;
! 951: case FF_GF2N:
! 952: STOQ(2,*rp); break;
! 953: case FF_GFS:
! 954: case FF_GFSN:
! 955: STOQ(current_gfs_p,*rp); break;
! 956: default:
! 957: error("characteristic_ff : current_ff is not set");
! 958: }
1.1 noro 959: }
960:
1.16 noro 961: void Pfield_type_ff(Q *rp)
1.1 noro 962: {
1.30 ! noro 963: STOQ(current_ff,*rp);
1.1 noro 964: }
965:
1.16 noro 966: void Pfield_order_ff(Q *rp)
1.1 noro 967: {
1.30 ! noro 968: N n;
1.1 noro 969:
1.30 ! noro 970: field_order_ff(&n);
! 971: NTOQ(n,1,*rp);
1.1 noro 972: }
973:
1.16 noro 974: void Prandom_ff(Obj *rp)
1.1 noro 975: {
1.30 ! noro 976: LM l;
! 977: GF2N g;
! 978: GFPN p;
! 979: GFS s;
! 980: GFSN spn;
! 981:
! 982: switch ( current_ff ) {
! 983: case FF_GFP:
! 984: random_lm(&l); *rp = (Obj)l; break;
! 985: case FF_GF2N:
! 986: randomgf2n(&g); *rp = (Obj)g; break;
! 987: case FF_GFPN:
! 988: randomgfpn(&p); *rp = (Obj)p; break;
! 989: case FF_GFS:
! 990: randomgfs(&s); *rp = (Obj)s; break;
! 991: case FF_GFSN:
! 992: randomgfsn(&spn); *rp = (Obj)spn; break;
! 993: default:
! 994: error("random_ff : current_ff is not set");
! 995: }
1.1 noro 996: }
997:
1.16 noro 998: void Psimp_ff(NODE arg,Obj *rp)
999: {
1.30 ! noro 1000: simp_ff((Obj)ARG0(arg),rp);
1.1 noro 1001: }
1002:
1.16 noro 1003: void getcoef(VL vl,P p,V v,Q d,P *r)
1.1 noro 1004: {
1.30 ! noro 1005: P s,t,u,a,b,x;
! 1006: DCP dc;
! 1007: V w;
! 1008:
! 1009: if ( !p )
! 1010: *r = 0;
! 1011: else if ( NUM(p) )
! 1012: *r = d ? 0 : p;
! 1013: else if ( (w=VR(p)) == v ) {
! 1014: for ( dc = DC(p); dc && cmpq(DEG(dc),d); dc = NEXT(dc) );
! 1015: *r = dc ? COEF(dc) : 0;
! 1016: } else {
! 1017: MKV(w,x);
! 1018: for ( dc = DC(p), s = 0; dc; dc = NEXT(dc) ) {
! 1019: getcoef(vl,COEF(dc),v,d,&t);
! 1020: if ( t ) {
! 1021: pwrp(vl,x,DEG(dc),&u); mulp(vl,t,u,&a);
! 1022: addp(vl,s,a,&b); s = b;
! 1023: }
! 1024: }
! 1025: *r = s;
! 1026: }
1.1 noro 1027: }
1028:
1.16 noro 1029: void Pdeglist(NODE arg,LIST *rp)
1.1 noro 1030: {
1.30 ! noro 1031: NODE d;
1.1 noro 1032:
1.30 ! noro 1033: getdeglist((P)ARG0(arg),VR((P)ARG1(arg)),&d);
! 1034: MKLIST(*rp,d);
1.1 noro 1035: }
1036:
1.16 noro 1037: void Pch_mv(NODE arg,P *rp)
1.1 noro 1038: {
1.30 ! noro 1039: change_mvar(CO,(P)ARG0(arg),VR((P)ARG1(arg)),rp);
1.1 noro 1040: }
1041:
1.16 noro 1042: void Pre_mv(NODE arg,P *rp)
1.1 noro 1043: {
1.30 ! noro 1044: restore_mvar(CO,(P)ARG0(arg),VR((P)ARG1(arg)),rp);
1.1 noro 1045: }
1046:
1.16 noro 1047: void change_mvar(VL vl,P p,V v,P *r)
1.1 noro 1048: {
1.30 ! noro 1049: Q d;
! 1050: DCP dc,dc0;
! 1051: NODE dl;
! 1052:
! 1053: if ( !p || NUM(p) || (VR(p) == v) )
! 1054: *r = p;
! 1055: else {
! 1056: getdeglist(p,v,&dl);
! 1057: for ( dc0 = 0; dl; dl = NEXT(dl) ) {
! 1058: NEXTDC(dc0,dc); DEG(dc) = d = (Q)BDY(dl);
! 1059: getcoef(vl,p,v,d,&COEF(dc));
! 1060: }
! 1061: NEXT(dc) = 0; MKP(v,dc0,*r);
! 1062: }
1.1 noro 1063: }
1064:
1.16 noro 1065: void restore_mvar(VL vl,P p,V v,P *r)
1.1 noro 1066: {
1.30 ! noro 1067: P s,u,a,b,x;
! 1068: DCP dc;
1.1 noro 1069:
1.30 ! noro 1070: if ( !p || NUM(p) || (VR(p) != v) )
! 1071: *r = p;
! 1072: else {
! 1073: MKV(v,x);
! 1074: for ( dc = DC(p), s = 0; dc; dc = NEXT(dc) ) {
! 1075: pwrp(vl,x,DEG(dc),&u); mulp(vl,COEF(dc),u,&a);
! 1076: addp(vl,s,a,&b); s = b;
! 1077: }
! 1078: *r = s;
! 1079: }
1.1 noro 1080: }
1081:
1.16 noro 1082: void getdeglist(P p,V v,NODE *d)
1.1 noro 1083: {
1.30 ! noro 1084: NODE n,n0,d0,d1,d2;
! 1085: DCP dc;
1.1 noro 1086:
1.30 ! noro 1087: if ( !p || NUM(p) ) {
! 1088: MKNODE(n,0,0); *d = n;
! 1089: } else if ( VR(p) == v ) {
! 1090: for ( n0 = 0, dc = DC(p); dc; dc = NEXT(dc) ) {
! 1091: NEXTNODE(n0,n); BDY(n) = (pointer)DEG(dc);
! 1092: }
! 1093: NEXT(n) = 0; *d = n0;
! 1094: } else {
! 1095: for ( dc = DC(p), d0 = 0; dc; dc = NEXT(dc) ) {
! 1096: getdeglist(COEF(dc),v,&d1); mergedeglist(d0,d1,&d2); d0 = d2;
! 1097: }
! 1098: *d = d0;
! 1099: }
1.1 noro 1100: }
1.16 noro 1101:
1102: void Pmergelist(NODE arg,LIST *rp)
1.1 noro 1103: {
1104: NODE n;
1105:
1.30 ! noro 1106: asir_assert(ARG0(arg),O_LIST,"mergelist");
! 1107: asir_assert(ARG1(arg),O_LIST,"mergelist");
! 1108: mergedeglist(BDY((LIST)ARG0(arg)),BDY((LIST)ARG1(arg)),&n);
! 1109: MKLIST(*rp,n);
1.1 noro 1110: }
1111:
1.16 noro 1112: void mergedeglist(NODE d0,NODE d1,NODE *dr)
1.1 noro 1113: {
1.30 ! noro 1114: NODE t0,t,dt;
! 1115: Q d;
! 1116: int c;
! 1117:
! 1118: if ( !d0 )
! 1119: *dr = d1;
! 1120: else {
! 1121: while ( d1 ) {
! 1122: dt = d1; d1 = NEXT(d1); d = (Q)BDY(dt);
! 1123: for ( t0 = 0, t = d0; t; t0 = t, t = NEXT(t) ) {
! 1124: c = cmpq(d,(Q)BDY(t));
! 1125: if ( !c )
! 1126: break;
! 1127: else if ( c > 0 ) {
! 1128: if ( !t0 ) {
! 1129: NEXT(dt) = d0; d0 = dt;
! 1130: } else {
! 1131: NEXT(t0) = dt; NEXT(dt) = t;
! 1132: }
! 1133: break;
! 1134: }
! 1135: }
! 1136: if ( !t ) {
! 1137: NEXT(t0) = dt; *dr = d0; return;
! 1138: }
! 1139: }
! 1140: *dr = d0;
! 1141: }
1.1 noro 1142: }
1143:
1.16 noro 1144: void Pptomp(NODE arg,P *rp)
1.1 noro 1145: {
1.27 noro 1146: int mod;
1147:
1148: if ( argc(arg) == 1 ) {
1149: if ( !current_mod )
1150: error("ptomp : current_mod is not set");
1151: else
1152: mod = current_mod;
1153: } else
1154: mod = QTOS((Q)ARG1(arg));
1.30 ! noro 1155: ptomp(mod,(P)ARG0(arg),rp);
1.1 noro 1156: }
1157:
1.16 noro 1158: void Pmptop(NODE arg,P *rp)
1.1 noro 1159: {
1.30 ! noro 1160: mptop((P)ARG0(arg),rp);
1.1 noro 1161: }
1162:
1.16 noro 1163: void Pptolmp(NODE arg,P *rp)
1.1 noro 1164: {
1.30 ! noro 1165: ptolmp((P)ARG0(arg),rp);
1.1 noro 1166: }
1167:
1.16 noro 1168: void Plmptop(NODE arg,P *rp)
1.1 noro 1169: {
1.30 ! noro 1170: lmptop((P)ARG0(arg),rp);
1.11 noro 1171: }
1172:
1.16 noro 1173: void Psf_galois_action(NODE arg,P *rp)
1.11 noro 1174: {
1.30 ! noro 1175: sf_galois_action(ARG0(arg),ARG1(arg),rp);
1.12 noro 1176: }
1177:
1178: /*
1179: sf_embed(F,B,PM)
1180: F : an element of GF(pn)
1181: B : the image of the primitive root of GF(pn)
1182: PM : order of GF(pm)
1183: */
1184:
1.16 noro 1185: void Psf_embed(NODE arg,P *rp)
1.12 noro 1186: {
1.30 ! noro 1187: int k,pm;
1.12 noro 1188:
1.30 ! noro 1189: /* GF(pn)={0,1,a,a^2,...}->GF(pm)={0,1,b,b^2,...}; a->b^k */
! 1190: k = CONT((GFS)ARG1(arg));
! 1191: pm = QTOS((Q)ARG2(arg));
! 1192: sf_embed((P)ARG0(arg),k,pm,rp);
1.13 noro 1193: }
1194:
1.16 noro 1195: void Psf_log(NODE arg,Q *rp)
1.13 noro 1196: {
1.30 ! noro 1197: int k;
1.13 noro 1198:
1.30 ! noro 1199: if ( !ARG0(arg) )
! 1200: error("sf_log : invalid armument");
! 1201: k = CONT((GFS)ARG0(arg));
! 1202: STOQ(k,*rp);
1.12 noro 1203: }
1204:
1.16 noro 1205: void Psf_find_root(NODE arg,GFS *rp)
1.12 noro 1206: {
1.30 ! noro 1207: P p;
! 1208: Obj t;
! 1209: int d;
! 1210: UM u;
! 1211: int *root;
! 1212:
! 1213: p = (P)ARG0(arg);
! 1214: simp_ff((Obj)p,&t); p = (P)t;
! 1215: d = getdeg(VR(p),p);
! 1216: u = W_UMALLOC(d);
! 1217: ptosfum(p,u);
! 1218: root = (int *)ALLOCA(d*sizeof(int));
! 1219: find_rootsf(u,root);
! 1220: MKGFS(IFTOF(root[0]),*rp);
1.12 noro 1221: }
1222:
1.16 noro 1223: void Psf_minipoly(NODE arg,P *rp)
1.12 noro 1224: {
1.30 ! noro 1225: Obj t;
! 1226: P p1,p2;
! 1227: int d1,d2;
! 1228: UM up1,up2,m;
! 1229:
! 1230: p1 = (P)ARG0(arg); simp_ff((Obj)p1,&t); p1 = (P)t;
! 1231: p2 = (P)ARG1(arg); simp_ff((Obj)p2,&t); p2 = (P)t;
! 1232: d1 = getdeg(VR(p1),p1); up1 = W_UMALLOC(d1); ptosfum(p1,up1);
! 1233: d2 = getdeg(VR(p2),p2); up2 = W_UMALLOC(d2); ptosfum(p2,up2);
! 1234: m = W_UMALLOC(d2);
! 1235: minipolysf(up1,up2,m);
! 1236: sfumtop(VR(p2),m,&p1);
! 1237: sfptop(p1,rp);
1.11 noro 1238: }
1239:
1.16 noro 1240: void Pptosfp(NODE arg,P *rp)
1.11 noro 1241: {
1.30 ! noro 1242: ptosfp(ARG0(arg),rp);
1.6 noro 1243: }
1244:
1.16 noro 1245: void Psfptop(NODE arg,P *rp)
1.6 noro 1246: {
1.30 ! noro 1247: sfptop((P)ARG0(arg),rp);
1.18 noro 1248: }
1249:
1250: void Psfptopsfp(NODE arg,P *rp)
1251: {
1.30 ! noro 1252: sfptopsfp((P)ARG0(arg),VR((P)ARG1(arg)),rp);
1.1 noro 1253: }
1254:
1.16 noro 1255: void Pptogf2n(NODE arg,GF2N *rp)
1.1 noro 1256: {
1.30 ! noro 1257: ptogf2n((Obj)ARG0(arg),rp);
1.1 noro 1258: }
1259:
1.16 noro 1260: void Pgf2ntop(NODE arg,P *rp)
1.1 noro 1261: {
1.30 ! noro 1262: if ( argc(arg) == 2 )
! 1263: up2_var = VR((P)ARG1(arg));
! 1264: gf2ntop((GF2N)ARG0(arg),rp);
1.1 noro 1265: }
1266:
1.16 noro 1267: void Pgf2ntovect(NODE arg,VECT *rp)
1.1 noro 1268: {
1.30 ! noro 1269: gf2ntovect((GF2N)ARG0(arg),rp);
1.1 noro 1270: }
1271:
1.16 noro 1272: void Pptogfpn(NODE arg,GFPN *rp)
1.1 noro 1273: {
1.30 ! noro 1274: ptogfpn((Obj)ARG0(arg),rp);
1.1 noro 1275: }
1276:
1.16 noro 1277: void Pgfpntop(NODE arg,P *rp)
1.1 noro 1278: {
1.30 ! noro 1279: if ( argc(arg) == 2 )
! 1280: up_var = VR((P)ARG1(arg));
! 1281: gfpntop((GFPN)ARG0(arg),rp);
1.1 noro 1282: }
1283:
1.16 noro 1284: void Pureverse(NODE arg,P *rp)
1.1 noro 1285: {
1.30 ! noro 1286: UP p,r;
1.1 noro 1287:
1.30 ! noro 1288: ptoup((P)ARG0(arg),&p);
! 1289: if ( argc(arg) == 1 )
! 1290: reverseup(p,p->d,&r);
! 1291: else
! 1292: reverseup(p,QTOS((Q)ARG1(arg)),&r);
! 1293: uptop(r,rp);
1.1 noro 1294: }
1295:
1.16 noro 1296: void Putrunc(NODE arg,P *rp)
1.1 noro 1297: {
1.30 ! noro 1298: UP p,r;
1.1 noro 1299:
1.30 ! noro 1300: ptoup((P)ARG0(arg),&p);
! 1301: truncup(p,QTOS((Q)ARG1(arg))+1,&r);
! 1302: uptop(r,rp);
1.1 noro 1303: }
1304:
1.16 noro 1305: void Pudecomp(NODE arg,LIST *rp)
1.1 noro 1306: {
1.30 ! noro 1307: P u,l;
! 1308: UP p,up,low;
! 1309: NODE n0,n1;
! 1310:
! 1311: ptoup((P)ARG0(arg),&p);
! 1312: decompup(p,QTOS((Q)ARG1(arg))+1,&low,&up);
! 1313: uptop(low,&l);
! 1314: uptop(up,&u);
! 1315: MKNODE(n1,u,0); MKNODE(n0,l,n1);
! 1316: MKLIST(*rp,n0);
1.1 noro 1317: }
1318:
1.16 noro 1319: void Purembymul(NODE arg,P *rp)
1.1 noro 1320: {
1.30 ! noro 1321: UP p1,p2,r;
1.1 noro 1322:
1.30 ! noro 1323: if ( !ARG0(arg) || !ARG1(arg) )
! 1324: *rp = 0;
! 1325: else {
! 1326: ptoup((P)ARG0(arg),&p1);
! 1327: ptoup((P)ARG1(arg),&p2);
! 1328: rembymulup(p1,p2,&r);
! 1329: uptop(r,rp);
! 1330: }
1.1 noro 1331: }
1332:
1333: /*
1334: * d1 = deg(p1), d2 = deg(p2)
1335: * d1 <= 2*d2-1
1336: * p2*inv = 1 mod x^d2
1337: */
1338:
1.16 noro 1339: void Purembymul_precomp(NODE arg,P *rp)
1.1 noro 1340: {
1.30 ! noro 1341: UP p1,p2,inv,r;
1.1 noro 1342:
1.30 ! noro 1343: if ( !ARG0(arg) || !ARG1(arg) )
! 1344: *rp = 0;
! 1345: else {
! 1346: ptoup((P)ARG0(arg),&p1);
! 1347: ptoup((P)ARG1(arg),&p2);
! 1348: ptoup((P)ARG2(arg),&inv);
! 1349: if ( p1->d >= 2*p2->d ) {
! 1350: error("urembymul_precomp : degree of 1st arg is too large");
! 1351: /* fprintf(stderr,"urembymul_precomp : degree of 1st arg is too large"); */
! 1352: remup(p1,p2,&r);
! 1353: } else
! 1354: hybrid_rembymulup_special(current_ff,p1,p2,inv,&r);
! 1355: uptop(r,rp);
! 1356: }
1.1 noro 1357: }
1358:
1.16 noro 1359: void Puinvmod(NODE arg,P *rp)
1.1 noro 1360: {
1.30 ! noro 1361: UP p,r;
1.1 noro 1362:
1.30 ! noro 1363: ptoup((P)ARG0(arg),&p);
! 1364: invmodup(p,QTOS((Q)ARG1(arg)),&r);
! 1365: uptop(r,rp);
1.1 noro 1366: }
1367:
1.16 noro 1368: void Purevinvmod(NODE arg,P *rp)
1.1 noro 1369: {
1.30 ! noro 1370: UP p,pr,r;
1.1 noro 1371:
1.30 ! noro 1372: ptoup((P)ARG0(arg),&p);
! 1373: reverseup(p,p->d,&pr);
! 1374: invmodup(pr,QTOS((Q)ARG1(arg)),&r);
! 1375: uptop(r,rp);
1.1 noro 1376: }
1377:
1.16 noro 1378: void Ppwrmod_ff(NODE arg,P *rp)
1.1 noro 1379: {
1.30 ! noro 1380: UP p1,p2;
1.1 noro 1381:
1.30 ! noro 1382: ptoup((P)ARG0(arg),&p1);
! 1383: switch ( current_ff ) {
! 1384: case FF_GFP:
! 1385: hybrid_powermodup(p1,&p2); break;
! 1386: case FF_GF2N:
! 1387: powermodup_gf2n(p1,&p2); break;
! 1388: case FF_GFPN:
! 1389: case FF_GFS:
! 1390: case FF_GFSN:
! 1391: powermodup(p1,&p2); break;
! 1392: default:
! 1393: error("pwrmod_ff : current_ff is not set");
! 1394: }
! 1395: uptop(p2,rp);
1.1 noro 1396: }
1397:
1.16 noro 1398: void Pgeneric_pwrmod_ff(NODE arg,P *rp)
1.1 noro 1399: {
1.30 ! noro 1400: UP g,f,r;
1.1 noro 1401:
1.30 ! noro 1402: ptoup((P)ARG0(arg),&g);
! 1403: ptoup((P)ARG1(arg),&f);
! 1404: switch ( current_ff ) {
! 1405: case FF_GFP:
! 1406: hybrid_generic_powermodup(g,f,(Q)ARG2(arg),&r); break;
! 1407: case FF_GF2N:
! 1408: generic_powermodup_gf2n(g,f,(Q)ARG2(arg),&r); break;
! 1409: case FF_GFPN:
! 1410: case FF_GFS:
! 1411: case FF_GFSN:
! 1412: generic_powermodup(g,f,(Q)ARG2(arg),&r); break;
! 1413: default:
! 1414: error("generic_pwrmod_ff : current_ff is not set");
! 1415: }
! 1416: uptop(r,rp);
1.1 noro 1417: }
1418:
1.16 noro 1419: void Ppwrtab_ff(NODE arg,VECT *rp)
1.1 noro 1420: {
1.30 ! noro 1421: UP f,xp;
! 1422: UP *tab;
! 1423: VECT r;
! 1424: int i,d;
! 1425:
! 1426: ptoup((P)ARG0(arg),&f);
! 1427: ptoup((P)ARG1(arg),&xp);
! 1428: d = f->d;
! 1429:
! 1430: tab = (UP *)ALLOCA(d*sizeof(UP));
! 1431: switch ( current_ff ) {
! 1432: case FF_GFP:
! 1433: hybrid_powertabup(f,xp,tab); break;
! 1434: case FF_GF2N:
! 1435: powertabup_gf2n(f,xp,tab); break;
! 1436: case FF_GFPN:
! 1437: case FF_GFS:
! 1438: case FF_GFSN:
! 1439: powertabup(f,xp,tab); break;
! 1440: default:
! 1441: error("pwrtab_ff : current_ff is not set");
! 1442: }
! 1443: MKVECT(r,d); *rp = r;
! 1444: for ( i = 0; i < d; i++ )
! 1445: uptop(tab[i],(P *)&BDY(r)[i]);
1.1 noro 1446: }
1447:
1.16 noro 1448: void Pkpwrmod_lm(NODE arg,P *rp)
1.1 noro 1449: {
1.30 ! noro 1450: UP p1,p2;
1.1 noro 1451:
1.30 ! noro 1452: ptoup((P)ARG0(arg),&p1);
! 1453: powermodup(p1,&p2);
! 1454: uptop(p2,rp);
1.1 noro 1455: }
1456:
1.16 noro 1457: void Pkgeneric_pwrmod_lm(NODE arg,P *rp)
1.1 noro 1458: {
1.30 ! noro 1459: UP g,f,r;
1.1 noro 1460:
1.30 ! noro 1461: ptoup((P)ARG0(arg),&g);
! 1462: ptoup((P)ARG1(arg),&f);
! 1463: generic_powermodup(g,f,(Q)ARG2(arg),&r);
! 1464: uptop(r,rp);
1.1 noro 1465: }
1466:
1.16 noro 1467: void Pkpwrtab_lm(NODE arg,VECT *rp)
1.1 noro 1468: {
1.30 ! noro 1469: UP f,xp;
! 1470: UP *tab;
! 1471: VECT r;
! 1472: int i,d;
! 1473:
! 1474: ptoup((P)ARG0(arg),&f);
! 1475: ptoup((P)ARG1(arg),&xp);
! 1476: d = f->d;
! 1477:
! 1478: tab = (UP *)ALLOCA(d*sizeof(UP));
! 1479: powertabup(f,xp,tab);
! 1480: MKVECT(r,d); *rp = r;
! 1481: for ( i = 0; i < d; i++ )
! 1482: uptop(tab[i],(P *)&BDY(r)[i]);
1.1 noro 1483: }
1484:
1.16 noro 1485: void Plazy_lm(NODE arg,Q *rp)
1.1 noro 1486: {
1.30 ! noro 1487: lm_lazy = QTOS((Q)ARG0(arg));
! 1488: *rp = 0;
1.1 noro 1489: }
1490:
1.16 noro 1491: void Pkmul(NODE arg,P *rp)
1.1 noro 1492: {
1.30 ! noro 1493: P n1,n2;
! 1494:
! 1495: n1 = (P)ARG0(arg); n2 = (P)ARG1(arg);
! 1496: asir_assert(n1,O_P,"kmul");
! 1497: asir_assert(n2,O_P,"kmul");
! 1498: kmulp(CO,n1,n2,rp);
1.1 noro 1499: }
1500:
1.16 noro 1501: void Pksquare(NODE arg,P *rp)
1.1 noro 1502: {
1.30 ! noro 1503: P n1;
! 1504:
! 1505: n1 = (P)ARG0(arg);
! 1506: asir_assert(n1,O_P,"ksquare");
! 1507: ksquarep(CO,n1,rp);
1.1 noro 1508: }
1509:
1.16 noro 1510: void Pktmul(NODE arg,P *rp)
1.1 noro 1511: {
1.30 ! noro 1512: UP p1,p2,r;
1.1 noro 1513:
1.30 ! noro 1514: ptoup((P)ARG0(arg),&p1);
! 1515: ptoup((P)ARG1(arg),&p2);
! 1516: tkmulup(p1,p2,QTOS((Q)ARG2(arg))+1,&r);
! 1517: uptop(r,rp);
1.1 noro 1518: }
1519:
1.16 noro 1520: void Pumul(NODE arg,P *rp)
1.1 noro 1521: {
1.30 ! noro 1522: P a1,a2;
! 1523: UP p1,p2,r;
1.1 noro 1524:
1.30 ! noro 1525: a1 = (P)ARG0(arg); a2 = (P)ARG1(arg);
! 1526: if ( !a1 || !a2 || NUM(a1) || NUM(a2) )
! 1527: mulp(CO,a1,a2,rp);
! 1528: else {
! 1529: if ( !uzpcheck((Obj)a1) || !uzpcheck((Obj)a2) || VR(a1) != VR(a2) )
! 1530: error("umul : invalid argument");
! 1531: ptoup(a1,&p1);
! 1532: ptoup(a2,&p2);
! 1533: hybrid_mulup(0,p1,p2,&r);
! 1534: uptop(r,rp);
! 1535: }
1.1 noro 1536: }
1537:
1.16 noro 1538: void Pusquare(NODE arg,P *rp)
1.1 noro 1539: {
1.30 ! noro 1540: UP p1,r;
1.1 noro 1541:
1.30 ! noro 1542: ptoup((P)ARG0(arg),&p1);
! 1543: hybrid_squareup(0,p1,&r);
! 1544: uptop(r,rp);
1.1 noro 1545: }
1546:
1.16 noro 1547: void Putmul(NODE arg,P *rp)
1.1 noro 1548: {
1.30 ! noro 1549: UP p1,p2,r;
1.1 noro 1550:
1.30 ! noro 1551: ptoup((P)ARG0(arg),&p1);
! 1552: ptoup((P)ARG1(arg),&p2);
! 1553: hybrid_tmulup(0,p1,p2,QTOS((Q)ARG2(arg))+1,&r);
! 1554: uptop(r,rp);
1.1 noro 1555: }
1556:
1.16 noro 1557: void Pumul_ff(NODE arg,Obj *rp)
1.1 noro 1558: {
1.30 ! noro 1559: P a1,a2;
! 1560: UP p1,p2,r;
! 1561: P p;
! 1562:
! 1563: a1 = (P)ARG0(arg); a2 = (P)ARG1(arg);
! 1564: ptoup(a1,&p1);
! 1565: ptoup(a2,&p2);
! 1566: hybrid_mulup(current_ff,p1,p2,&r);
! 1567: uptop(r,&p);
! 1568: simp_ff((Obj)p,rp);
1.1 noro 1569: }
1570:
1.16 noro 1571: void Pusquare_ff(NODE arg,Obj *rp)
1.1 noro 1572: {
1.30 ! noro 1573: UP p1,r;
! 1574: P p;
1.1 noro 1575:
1.30 ! noro 1576: ptoup((P)ARG0(arg),&p1);
! 1577: hybrid_squareup(current_ff,p1,&r);
! 1578: uptop(r,&p);
! 1579: simp_ff((Obj)p,rp);
1.1 noro 1580: }
1581:
1.16 noro 1582: void Putmul_ff(NODE arg,Obj *rp)
1.1 noro 1583: {
1.30 ! noro 1584: UP p1,p2,r;
! 1585: P p;
1.1 noro 1586:
1.30 ! noro 1587: ptoup((P)ARG0(arg),&p1);
! 1588: ptoup((P)ARG1(arg),&p2);
! 1589: hybrid_tmulup(current_ff,p1,p2,QTOS((Q)ARG2(arg))+1,&r);
! 1590: uptop(r,&p);
! 1591: simp_ff((Obj)p,rp);
1.1 noro 1592: }
1593:
1.16 noro 1594: void Phfmul_lm(NODE arg,P *rp)
1.1 noro 1595: {
1.30 ! noro 1596: UP p1,p2,r;
! 1597: UP hi,lo,mid,t,s,p10,p11,p20,p21;
! 1598: unsigned int m,d;
! 1599: int i;
! 1600:
! 1601: ptoup((P)ARG0(arg),&p1);
! 1602: ptoup((P)ARG1(arg),&p2);
! 1603: d = MAX(p1->d,p2->d);
! 1604: for ( m = 1; m < d; m <<= 1 );
! 1605: if ( m > d )
! 1606: m >>= 1;
! 1607: if ( d-m < 10000 ) {
! 1608: decompup(p1,m,&p10,&p11); /* p1 = p11*x^m+p10 */
! 1609: decompup(p2,m,&p20,&p21); /* p2 = p21*x^m+p20 */
! 1610: fft_mulup_lm(p10,p20,&lo);
! 1611: kmulup(p11,p21,&hi);
! 1612: kmulup(p11,p20,&t); kmulup(p10,p21,&s); addup(t,s,&mid);
! 1613: r = UPALLOC(2*d);
! 1614: bzero((char *)COEF(r),(2*d+1)*sizeof(Num));
! 1615: if ( lo )
! 1616: bcopy((char *)COEF(lo),(char *)COEF(r),(DEG(lo)+1)*sizeof(Num));
! 1617: if ( hi )
! 1618: bcopy((char *)COEF(hi),(char *)(COEF(r)+2*m),(DEG(hi)+1)*sizeof(Num));
! 1619: for ( i = 2*d; i >= 0 && !COEF(r)[i]; i-- );
! 1620: if ( i < 0 )
! 1621: r = 0;
! 1622: else {
! 1623: DEG(r) = i;
! 1624: t = UPALLOC(DEG(mid)+m); DEG(t) = DEG(mid)+m;
! 1625: bzero((char *)COEF(t),(DEG(mid)+m+1)*sizeof(Num));
! 1626: bcopy((char *)COEF(mid),(char *)(COEF(t)+m),(DEG(mid)+1)*sizeof(Num));
! 1627: addup(t,r,&s);
! 1628: r = s;
! 1629: }
! 1630: } else
! 1631: fft_mulup_lm(p1,p2,&r);
! 1632: uptop(r,rp);
1.1 noro 1633: }
1634:
1.16 noro 1635: void Pfmultest(NODE arg,LIST *rp)
1.1 noro 1636: {
1.30 ! noro 1637: P p1,p2,r;
! 1638: int d1,d2;
! 1639: UM w1,w2,wr;
! 1640: unsigned int *f1,*f2,*fr,*w;
! 1641: int index,mod,root,d,maxint,i;
! 1642: int cond;
! 1643: Q prime;
! 1644: NODE n0,n1;
! 1645:
! 1646: p1 = (P)ARG0(arg); p2 = (P)ARG1(arg); index = QTOS((Q)ARG2(arg));
! 1647: FFT_primes(index,&mod,&root,&d);
! 1648: maxint = 1<<d;
! 1649: d1 = UDEG(p1); d2 = UDEG(p2);
! 1650: if ( maxint < d1+d2+1 )
! 1651: *rp = 0;
! 1652: else {
! 1653: w1 = W_UMALLOC(d1); w2 = W_UMALLOC(d2);
! 1654: wr = W_UMALLOC(d1+d2);
! 1655: ptoum(mod,p1,w1); ptoum(mod,p2,w2);
! 1656: f1 = (unsigned int *)ALLOCA(maxint*sizeof(unsigned int));
! 1657: f2 = (unsigned int *)ALLOCA(maxint*sizeof(unsigned int));
! 1658: fr = (unsigned int *)ALLOCA(maxint*sizeof(unsigned int));
! 1659: w = (unsigned int *)ALLOCA(12*maxint*sizeof(unsigned int));
! 1660:
! 1661: for ( i = 0; i <= d1; i++ )
! 1662: f1[i] = (unsigned int)w1->c[i];
! 1663: for ( i = 0; i <= d2; i++ )
! 1664: f2[i] = (unsigned int)w2->c[i];
! 1665:
! 1666: cond = FFT_pol_product(d1,f1,d2,f2,fr,index,w);
! 1667: if ( cond )
! 1668: error("fmultest : ???");
! 1669: wr->d = d1+d2;
! 1670: for ( i = 0; i <= d1+d2; i++ )
! 1671: wr->c[i] = (unsigned int)fr[i];
! 1672: umtop(VR(p1),wr,&r);
! 1673: STOQ(mod,prime);
! 1674: MKNODE(n1,prime,0);
! 1675: MKNODE(n0,r,n1);
! 1676: MKLIST(*rp,n0);
! 1677: }
1.1 noro 1678: }
1679:
1.16 noro 1680: void Pkmulum(NODE arg,P *rp)
1.1 noro 1681: {
1.30 ! noro 1682: P p1,p2;
! 1683: int d1,d2,mod;
! 1684: UM w1,w2,wr;
! 1685:
! 1686: p1 = (P)ARG0(arg); p2 = (P)ARG1(arg); mod = QTOS((Q)ARG2(arg));
! 1687: d1 = UDEG(p1); d2 = UDEG(p2);
! 1688: w1 = W_UMALLOC(d1); w2 = W_UMALLOC(d2);
! 1689: wr = W_UMALLOC(d1+d2);
! 1690: ptoum(mod,p1,w1); ptoum(mod,p2,w2);
! 1691: kmulum(mod,w1,w2,wr);
! 1692: umtop(VR(p1),wr,rp);
1.1 noro 1693: }
1694:
1.16 noro 1695: void Pksquareum(NODE arg,P *rp)
1.1 noro 1696: {
1.30 ! noro 1697: P p1;
! 1698: int d1,mod;
! 1699: UM w1,wr;
! 1700:
! 1701: p1 = (P)ARG0(arg); mod = QTOS((Q)ARG1(arg));
! 1702: d1 = UDEG(p1);
! 1703: w1 = W_UMALLOC(d1);
! 1704: wr = W_UMALLOC(2*d1);
! 1705: ptoum(mod,p1,w1);
! 1706: kmulum(mod,w1,w1,wr);
! 1707: umtop(VR(p1),wr,rp);
1.1 noro 1708: }
1709:
1.16 noro 1710: void Ptracemod_gf2n(NODE arg,P *rp)
1.1 noro 1711: {
1.30 ! noro 1712: UP g,f,r;
1.1 noro 1713:
1.30 ! noro 1714: ptoup((P)ARG0(arg),&g);
! 1715: ptoup((P)ARG1(arg),&f);
! 1716: tracemodup_gf2n(g,f,(Q)ARG2(arg),&r);
! 1717: uptop(r,rp);
1.2 noro 1718: }
1719:
1.16 noro 1720: void Pumul_specialmod(NODE arg,P *rp)
1.2 noro 1721: {
1.30 ! noro 1722: P a1,a2;
! 1723: UP p1,p2,r;
! 1724: int i,nmod;
! 1725: int *modind;
! 1726: NODE t,n;
! 1727:
! 1728: a1 = (P)ARG0(arg); a2 = (P)ARG1(arg);
! 1729: if ( !a1 || !a2 || NUM(a1) || NUM(a2) )
! 1730: mulp(CO,a1,a2,rp);
! 1731: else {
! 1732: if ( !uzpcheck((Obj)a1) || !uzpcheck((Obj)a2) || VR(a1) != VR(a2) )
! 1733: error("umul_specialmod : invalid argument");
! 1734: ptoup(a1,&p1);
! 1735: ptoup(a2,&p2);
! 1736: n = BDY((LIST)ARG2(arg));
! 1737: nmod = length(n);
! 1738: modind = (int *)MALLOC_ATOMIC(nmod*sizeof(int));
! 1739: for ( i = 0, t = n; i < nmod; i++, t = NEXT(t) )
! 1740: modind[i] = QTOS((Q)BDY(t));
! 1741: fft_mulup_specialmod_main(p1,p2,0,modind,nmod,&r);
! 1742: uptop(r,rp);
! 1743: }
1.2 noro 1744: }
1745:
1.16 noro 1746: void Pusquare_specialmod(NODE arg,P *rp)
1.2 noro 1747: {
1.30 ! noro 1748: P a1;
! 1749: UP p1,r;
! 1750: int i,nmod;
! 1751: int *modind;
! 1752: NODE t,n;
! 1753:
! 1754: a1 = (P)ARG0(arg);
! 1755: if ( !a1 || NUM(a1) )
! 1756: mulp(CO,a1,a1,rp);
! 1757: else {
! 1758: if ( !uzpcheck((Obj)a1) )
! 1759: error("usquare_specialmod : invalid argument");
! 1760: ptoup(a1,&p1);
! 1761: n = BDY((LIST)ARG1(arg));
! 1762: nmod = length(n);
! 1763: modind = (int *)MALLOC_ATOMIC(nmod*sizeof(int));
! 1764: for ( i = 0, t = n; i < nmod; i++, t = NEXT(t) )
! 1765: modind[i] = QTOS((Q)BDY(t));
! 1766: fft_mulup_specialmod_main(p1,p1,0,modind,nmod,&r);
! 1767: uptop(r,rp);
! 1768: }
1.2 noro 1769: }
1770:
1.16 noro 1771: void Putmul_specialmod(NODE arg,P *rp)
1.2 noro 1772: {
1.30 ! noro 1773: P a1,a2;
! 1774: UP p1,p2,r;
! 1775: int i,nmod;
! 1776: int *modind;
! 1777: NODE t,n;
! 1778:
! 1779: a1 = (P)ARG0(arg); a2 = (P)ARG1(arg);
! 1780: if ( !a1 || !a2 || NUM(a1) || NUM(a2) )
! 1781: mulp(CO,a1,a2,rp);
! 1782: else {
! 1783: if ( !uzpcheck((Obj)a1) || !uzpcheck((Obj)a2) || VR(a1) != VR(a2) )
! 1784: error("utmul_specialmod : invalid argument");
! 1785: ptoup(a1,&p1);
! 1786: ptoup(a2,&p2);
! 1787: n = BDY((LIST)ARG3(arg));
! 1788: nmod = length(n);
! 1789: modind = (int *)MALLOC_ATOMIC(nmod*sizeof(int));
! 1790: for ( i = 0, t = n; i < nmod; i++, t = NEXT(t) )
! 1791: modind[i] = QTOS((Q)BDY(t));
! 1792: fft_mulup_specialmod_main(p1,p2,QTOS((Q)ARG2(arg))+1,modind,nmod,&r);
! 1793: uptop(r,rp);
! 1794: }
1.1 noro 1795: }
FreeBSD-CVSweb <freebsd-cvsweb@FreeBSD.org>
![[BACK]](/icons/cvsweb/back.gif){kind=icon}
Return to poly.c CVS log ![[TXT]](/icons/cvsweb/text.gif){kind=icon}
![[DIR]](/icons/cvsweb/dir.gif){kind=icon}
Up to [local] / OpenXM_contrib2 / asir2000 / builtin