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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: *
1.26 ! noro 48: * $OpenXM: OpenXM_contrib2/asir2000/builtin/poly.c,v 1.25 2016/03/31 05:30:32 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[] = {
1.20 noro 116: {"headsgn",Pheadsgn,1},
1.21 noro 117: {"quo_trunc",Pquo_trunc,2},
1.19 noro 118: {"mul_trunc",Pmul_trunc,3},
1.9 noro 119: {"homogeneous_deg",Phomogeneous_deg,-2},
120: {"homogeneous_part",Phomogeneous_part,-3},
121: {"reorder",Preorder,3},
1.3 noro 122: {"uadj_coef",Puadj_coef,3},
1.1 noro 123: {"ranp",Pranp,2},
124: {"p_mag",Pp_mag,1},
1.2 noro 125: {"maxblen",Pmaxblen,1},
1.1 noro 126: {"ord",Pord,-1},
1.22 noro 127: {"remove_vars",Premove_vars,1},
1.25 noro 128: {"delete_vars",Premove_vars,1},
1.1 noro 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:
1.15 noro 138: {"setmod_ff",Psetmod_ff,-3},
1.1 noro 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:
1.11 noro 157: {"sf_galois_action",Psf_galois_action,2},
1.12 noro 158: {"sf_find_root",Psf_find_root,1},
159: {"sf_minipoly",Psf_minipoly,2},
160: {"sf_embed",Psf_embed,3},
1.13 noro 161: {"sf_log",Psf_log,1},
162:
1.11 noro 163: {"ptosfp",Pptosfp,1},
1.6 noro 164: {"sfptop",Psfptop,1},
1.18 noro 165: {"sfptopsfp",Psfptopsfp,2},
1.1 noro 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:
1.2 noro 182: {"umul_specialmod",Pumul_specialmod,3},
183: {"usquare_specialmod",Pusquare_specialmod,2},
184: {"utmul_specialmod",Putmul_specialmod,4},
185:
1.1 noro 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},
1.3 noro 197: {"ureverse",Pureverse,-2},
1.1 noro 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},
1.2 noro 229: {"get_next_fft_prime",Pget_next_fft_prime,2},
1.1 noro 230: {0,0,0},
231: };
1.20 noro 232:
233: void Pheadsgn(NODE arg,Q *rp)
234: {
235: int s;
236:
237: s = headsgn((P)ARG0(arg));
238: STOQ(s,*rp);
239: }
1.19 noro 240:
241: void Pmul_trunc(NODE arg,P *rp)
242: {
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: {
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: {
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);
306: }
307:
1.16 noro 308: void Phomogeneous_deg(NODE arg,Q *rp)
1.9 noro 309: {
310: int d;
311:
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);
317: }
318:
319: /*
320: p1 = reorder(p,ovl,nvl) => p1 is 'sorted accoding to nvl.
321: */
322:
1.16 noro 323: void Preorder(NODE arg,P *rp)
1.9 noro 324: {
325: VL ovl,nvl,tvl;
326: NODE n;
327:
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);
345: }
1.3 noro 346:
347: /*
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);
354: */
355:
1.16 noro 356: void Puadj_coef(NODE arg,P *rp)
1.3 noro 357: {
358: UP f,r;
359: N m,m2;
360:
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);
366: }
367:
1.2 noro 368: /*
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)
373: */
374:
1.16 noro 375: void Pget_next_fft_prime(NODE arg,LIST *rp)
1.2 noro 376: {
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: }
1.16 noro 389: if ( bits <= (int)d ) {
1.2 noro 390: UTOQ(mod,q);
391: UTOQ(i,ind);
392: n = mknode(2,ind,q);
393: MKLIST(*rp,n);
394: return;
395: }
396: }
397: }
1.1 noro 398:
1.16 noro 399: void Pranp(NODE arg,P *rp)
1.1 noro 400: {
401: int n;
402: UP c;
403:
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;
411: }
412:
1.16 noro 413: void ranp(int n,UP *nr)
1.1 noro 414: {
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;
431: }
432:
1.16 noro 433: void Pmaxblen(NODE arg,Q *rp)
1.2 noro 434: {
435: int l;
436: l = maxblenp(ARG0(arg));
437: STOQ(l,*rp);
438: }
439:
1.16 noro 440: void Pp_mag(NODE arg,Q *rp)
1.1 noro 441: {
442: int l;
443: l = p_mag(ARG0(arg));
444: STOQ(l,*rp);
445: }
446:
1.16 noro 447: void Pord(NODE arg,LIST *listp)
1.1 noro 448: {
1.23 noro 449: NODE n,tn,p,opt;
450: char *key;
451: Obj value;
452: int overwrite=0;
1.1 noro 453: LIST l;
454: VL vl,tvl,svl;
455: P t;
456: int i,j;
457: V *va;
458: V v;
459:
1.23 noro 460: if ( current_option ) {
461: for ( opt = current_option; opt; opt = NEXT(opt) ) {
462: p = BDY((LIST)BDY(opt));
463: key = BDY((STRING)BDY(p));
464: value = (Obj)BDY(NEXT(p));
465: if ( !strcmp(key,"overwrite") && value ) {
466: overwrite = value ? 1 : 0;
467: break;
468: }
469: }
470: }
471:
1.1 noro 472: if ( argc(arg) ) {
473: asir_assert(ARG0(arg),O_LIST,"ord");
474: for ( vl = 0, i = 0, n = BDY((LIST)ARG0(arg));
475: n; n = NEXT(n), i++ ) {
476: if ( !vl ) {
477: NEWVL(vl); tvl = vl;
478: } else {
479: NEWVL(NEXT(tvl)); tvl = NEXT(tvl);
480: }
481: if ( !(t = (P)BDY(n)) || (OID(t) != O_P) )
482: error("ord : invalid argument");
483: VR(tvl) = VR(t);
484: }
1.23 noro 485: if ( !overwrite ) {
486: va = (V *)ALLOCA(i*sizeof(V));
487: for ( j = 0, svl = vl; j < i; j++, svl = NEXT(svl) )
488: va[j] = VR(svl);
489: for ( svl = CO; svl; svl = NEXT(svl) ) {
490: v = VR(svl);
491: for ( j = 0; j < i; j++ )
492: if ( v == va[j] )
493: break;
494: if ( j == i ) {
495: if ( !vl ) {
496: NEWVL(vl); tvl = vl;
497: } else {
498: NEWVL(NEXT(tvl)); tvl = NEXT(tvl);
499: }
500: VR(tvl) = v;
1.1 noro 501: }
502: }
1.24 noro 503: } else {
504: for ( svl = vl; svl; svl = NEXT(svl) ) {
505: if ( svl->v->attr == (pointer)V_PF )
506: ((PFINS)svl->v->priv)->pf->ins = 0;
507: }
1.1 noro 508: }
509: if ( vl )
510: NEXT(tvl) = 0;
511: CO = vl;
512: }
513: for ( n = 0, vl = CO; vl; vl = NEXT(vl) ) {
514: NEXTNODE(n,tn); MKV(VR(vl),t); BDY(tn) = (pointer)t;
515: }
516: NEXT(tn) = 0; MKLIST(l,n); *listp = l;
517: }
518:
1.22 noro 519: void Premove_vars(NODE arg,LIST *listp)
520: {
521: NODE l,nd,tnd;
522: V *v,*va;
523: int n,na,i,j;
524: VL vl,vl1;
525: P t;
526: LIST list;
527:
528: asir_assert(ARG0(arg),O_LIST,"remove_vars");
529: l = BDY((LIST)ARG0(arg)); n = length(l);
530: v = (V *)ALLOCA(n*sizeof(V));
531: for ( i = 0; i < n; i++, l = NEXT(l) )
532: if ( !(t = (P)BDY(l)) || (OID(t) != O_P) )
533: error("ord : invalid argument");
534: else v[i] = VR(t);
535:
536: for ( na = 0, vl = CO; vl; vl = NEXT(vl), na++ );
537: va = (V *)ALLOCA(na*sizeof(V));
538: for ( i = 0, vl = CO; i < na; i++, vl = NEXT(vl) ) va[i] = VR(vl);
539: for ( i = 0; i < na; i++ )
540: for ( j = 0; j < n; j++ ) if ( va[i] == v[j] ) va[i] = 0;
541: for ( vl = 0, i = na-1; i >= 0; i-- )
542: if ( va[i] ) {
543: NEWVL(vl1); VR(vl1) = va[i]; NEXT(vl1) = vl; vl = vl1;
544: }
545: CO = vl;
546: for ( nd = 0, vl = CO; vl; vl = NEXT(vl) ) {
547: NEXTNODE(nd,tnd); MKV(VR(vl),t); BDY(tnd) = (pointer)t;
548: }
549: if ( nd ) NEXT(tnd) = 0;
550: MKLIST(list,nd); *listp = list;
551: }
552:
1.16 noro 553: void Pcoef0(NODE arg,Obj *rp)
1.1 noro 554: {
555: Obj t,n;
556: P s;
557: DCP dc;
558: int id;
559: V v;
560: VL vl;
561:
562: if ( !(t = (Obj)ARG0(arg)) || ((id = OID(ARG0(arg))) > O_P) )
563: *rp = 0;
564: else if ( (n = (Obj)ARG1(arg)) && (OID(n) > O_N) )
565: *rp = 0;
566: else if ( id == O_N )
567: if ( !n )
568: *rp = t;
569: else
570: *rp = 0;
571: else {
572: if ( argc(arg) == 3 ) {
573: if ( (v = VR((P)ARG2(arg))) != VR((P)t) ) {
574: reordvar(CO,v,&vl); reorderp(vl,CO,(P)t,&s);
575: } else
576: s = (P)t;
577: if ( VR(s) != v ) {
578: if ( n )
579: *rp = 0;
580: else
581: *rp = t;
582: return;
583: }
584: } else
585: s = (P)t;
586: for ( dc = DC(s); dc && cmpq(DEG(dc),(Q)n); dc = NEXT(dc) );
587: if ( dc )
588: *rp = (Obj)COEF(dc);
589: else
590: *rp = 0;
591: }
592: }
593:
1.16 noro 594: void Pcoef(NODE arg,Obj *rp)
1.1 noro 595: {
596: Obj t,n;
597: P s;
598: DCP dc;
599: int id;
600: V v;
601:
602: if ( !(t = (Obj)ARG0(arg)) || ((id = OID(ARG0(arg))) > O_P) )
603: *rp = 0;
604: else if ( (n = (Obj)ARG1(arg)) && (OID(n) > O_N) )
605: *rp = 0;
606: else if ( id == O_N ) {
607: if ( !n )
608: *rp = t;
609: else
610: *rp = 0;
611: } else {
612: if ( argc(arg) == 3 ) {
613: if ( (v = VR((P)ARG2(arg))) != VR((P)t) ) {
614: getcoef(CO,(P)t,v,(Q)n,(P *)rp); return;
615: } else
616: s = (P)t;
617: if ( VR(s) != v ) {
618: if ( n )
619: *rp = 0;
620: else
621: *rp = t;
622: return;
623: }
624: } else
625: s = (P)t;
626: for ( dc = DC(s); dc && cmpq(DEG(dc),(Q)n); dc = NEXT(dc) );
627: if ( dc )
628: *rp = (Obj)COEF(dc);
629: else
630: *rp = 0;
631: }
632: }
633:
1.16 noro 634: void Pcoef_gf2n(NODE arg,Obj *rp)
1.1 noro 635: {
636: Obj t,n;
637: int id,d;
638: UP2 up2;
639:
640: if ( !(t = (Obj)ARG0(arg)) || ((id = OID(ARG0(arg))) > O_P) )
641: *rp = 0;
642: else if ( (n = (Obj)ARG1(arg)) && (OID(n) > O_N) )
643: *rp = 0;
644: else if ( id == O_N && NID((Num)t) == N_GF2N ) {
645: d = QTOS((Q)n);
646: up2 = ((GF2N)t)->body;
647: if ( d > degup2(up2) )
648: *rp = 0;
649: else
650: *rp = (Obj)(up2->b[d/BSH]&(((unsigned long)1)<<(d%BSH))?ONE:0);
651: } else
652: *rp = 0;
653: }
654:
1.16 noro 655: void Pdeg(NODE arg,Q *rp)
1.1 noro 656: {
657: Obj t,v;
658: int d;
659:
660: #if 0
661: if ( !(t = (Obj)ARG0(arg)) || (OID(t) != O_P) )
662: *rp = 0;
663: else if ( !(v = (Obj)ARG1(arg)) || (VR((P)v) != VR((P)t)) )
664: *rp = 0;
665: else
666: *rp = (Obj)DEG(DC((P)t));
667: #endif
668: if ( !(t = (Obj)ARG0(arg)) )
669: STOQ(-1,*rp);
670: else if ( OID(t) != O_P ) {
671: if ( OID(t) == O_N && NID(t) == N_GF2N
672: && (v=(Obj)ARG1(arg)) && OID(v)== O_N && NID(v) == N_GF2N ) {
673: d = degup2(((GF2N)t)->body);
674: STOQ(d,*rp);
675: } else
676: *rp = 0;
677: } else
678: degp(VR((P)ARG1(arg)),(P)ARG0(arg),rp);
679: }
680:
1.16 noro 681: void Pmindeg(NODE arg,Q *rp)
1.1 noro 682: {
683: Obj t;
684:
685: if ( !(t = (Obj)ARG0(arg)) || (OID(t) != O_P) )
686: *rp = 0;
687: else
688: getmindeg(VR((P)ARG1(arg)),(P)ARG0(arg),rp);
689: }
690:
1.16 noro 691: void Psetmod(NODE arg,Q *rp)
1.1 noro 692: {
693: if ( arg ) {
694: asir_assert(ARG0(arg),O_N,"setmod");
695: current_mod = QTOS((Q)ARG0(arg));
696: }
697: STOQ(current_mod,*rp);
698: }
699:
1.16 noro 700: void Psparsemod_gf2n(NODE arg,Q *rp)
1.1 noro 701: {
702: int id;
703:
704: if ( arg && current_mod_gf2n )
705: current_mod_gf2n->id = ARG0(arg)?1:0;
706: if ( !current_mod_gf2n )
707: id = -1;
708: else
709: id = current_mod_gf2n->id;
710: STOQ(id,*rp);
711: }
712:
1.16 noro 713: void Pmultest_gf2n(NODE arg,GF2N *rp)
1.1 noro 714: {
715: GF2N a,b,c;
716: int i;
717:
718: a = (GF2N)ARG0(arg); b = (GF2N)ARG0(arg);
719: for ( i = 0; i < 10000; i++ )
720: mulgf2n(a,b,&c);
721: *rp = c;
722: }
723:
1.16 noro 724: void Psquaretest_gf2n(NODE arg,GF2N *rp)
1.1 noro 725: {
726: GF2N a,c;
727: int i;
728:
729: a = (GF2N)ARG0(arg);
730: for ( i = 0; i < 10000; i++ )
731: squaregf2n(a,&c);
732: *rp = c;
733: }
734:
1.16 noro 735: void Pinvtest_gf2n(NODE arg,GF2N *rp)
1.1 noro 736: {
737: GF2N a,c;
738: int i;
739:
740: a = (GF2N)ARG0(arg);
741: for ( i = 0; i < 10000; i++ )
742: invgf2n(a,&c);
743: *rp = c;
744: }
745:
1.16 noro 746: void Pbininv_gf2n(NODE arg,GF2N *rp)
1.1 noro 747: {
748: UP2 a,inv;
749: int n;
750:
751: a = ((GF2N)ARG0(arg))->body;
752: n = QTOS((Q)ARG1(arg));
753: type1_bin_invup2(a,n,&inv);
754: MKGF2N(inv,*rp);
755: }
756:
1.16 noro 757: void Prinvtest_gf2n(Real *rp)
1.1 noro 758: {
759: GF2N *a;
760: GF2N c;
761: double t0,t1,r;
762: int i;
763: double get_clock();
764:
765: a = (GF2N *)ALLOCA(1000*sizeof(GF2N));
766: for ( i = 0; i < 1000; i++ ) {
767: randomgf2n(&a[i]);
768: }
769: t0 = get_clock();
770: for ( i = 0; i < 1000; i++ )
771: invgf2n(a[i],&c);
772: t1 = get_clock();
773: r = (t1-t0)/1000;
774: MKReal(r,*rp);
775: }
776:
1.16 noro 777: void Pfind_root_gf2n(NODE arg,GF2N *rp)
1.1 noro 778: {
779:
780: #if 0
781: UP p;
782:
783: ptoup((P)ARG0(arg),&p);
784: find_root_gf2n(p,rp);
785: #else
786: UP2 p;
787:
788: ptoup2((P)ARG0(arg),&p);
789: find_root_up2(p,rp);
790: #endif
791: }
792:
1.16 noro 793: void Pis_irred_gf2(NODE arg,Q *rp)
1.1 noro 794: {
795: UP2 t;
796:
797: ptoup2(ARG0(arg),&t);
798: *rp = irredcheckup2(t) ? ONE : 0;
799: }
800:
1.16 noro 801: void Pis_irred_ddd_gf2(NODE arg,Q *rp)
1.1 noro 802: {
803: UP2 t;
804: int ret;
805:
806: ptoup2(ARG0(arg),&t);
807: ret = irredcheck_dddup2(t);
808: STOQ(ret,*rp);
809: }
810:
1.16 noro 811: void Psetmod_ff(NODE arg,Obj *rp)
1.1 noro 812: {
813: int ac;
1.7 noro 814: int d;
1.1 noro 815: Obj mod,defpoly;
816: N n;
817: UP up;
818: UP2 up2;
1.14 noro 819: UM dp;
1.6 noro 820: Q q,r;
1.15 noro 821: P p,p1,y;
1.1 noro 822: NODE n0,n1;
823: LIST list;
824:
825: ac = argc(arg);
826: if ( ac == 1 ) {
827: mod = (Obj)ARG0(arg);
828: if ( !mod )
1.26 ! noro 829: current_ff = FF_NOT_SET;
! 830: else {
! 831: switch ( OID(mod) ) {
1.1 noro 832: case O_N:
1.7 noro 833: current_ff = FF_GFP;
834: setmod_lm(NM((Q)mod));
1.6 noro 835: break;
1.1 noro 836: case O_P:
837: current_ff = FF_GF2N;
838: setmod_gf2n((P)mod); break;
839: default:
840: error("setmod_ff : invalid argument");
1.26 ! noro 841: }
! 842: }
1.1 noro 843: } else if ( ac == 2 ) {
1.7 noro 844: if ( OID(ARG0(arg)) == O_N ) {
845: /* small finite field; primitive root representation */
846: current_ff = FF_GFS;
847: setmod_sf(QTOS((Q)ARG0(arg)),QTOS((Q)ARG1(arg)));
1.6 noro 848: } else {
1.7 noro 849: mod = (Obj)ARG1(arg);
1.6 noro 850: current_ff = FF_GFPN;
851: defpoly = (Obj)ARG0(arg);
852: if ( !mod || !defpoly )
853: error("setmod_ff : invalid argument");
854: setmod_lm(NM((Q)mod));
855: setmod_gfpn((P)defpoly);
856: }
1.14 noro 857: } else if ( ac == 3 ) {
858: /* finite extension of a small finite field */
859: current_ff = FF_GFS;
860: setmod_sf(QTOS((Q)ARG0(arg)),QTOS((Q)ARG1(arg)));
861: d = QTOS((Q)ARG2(arg));
862: generate_defpoly_sfum(d,&dp);
1.15 noro 863: setmod_gfsn(dp);
864: current_ff = FF_GFSN;
1.1 noro 865: }
866: switch ( current_ff ) {
867: case FF_GFP:
868: getmod_lm(&n); NTOQ(n,1,q); *rp = (Obj)q; break;
869: case FF_GF2N:
870: getmod_gf2n(&up2); up2top(up2,&p); *rp = (Obj)p; break;
871: case FF_GFPN:
872: getmod_lm(&n); NTOQ(n,1,q);
873: getmod_gfpn(&up); uptop(up,&p);
874: MKNODE(n1,q,0); MKNODE(n0,p,n1);
875: MKLIST(list,n0);
876: *rp = (Obj)list; break;
1.6 noro 877: case FF_GFS:
1.15 noro 878: case FF_GFSN:
1.7 noro 879: STOQ(current_gfs_p,q);
1.15 noro 880: if ( current_gfs_ext )
1.7 noro 881: enc_to_p(current_gfs_p,current_gfs_iton[1],
882: VR(current_gfs_ext),&p);
1.15 noro 883: else {
1.11 noro 884: if ( current_gfs_p == 2 )
885: r = ONE;
1.17 noro 886: else if ( !current_gfs_ntoi )
887: r = 0;
1.11 noro 888: else
889: STOQ(current_gfs_iton[1],r);
1.15 noro 890: p = (P)r;
891: }
892: switch ( current_ff ) {
893: case FF_GFS:
894: n0 = mknode(3,q,current_gfs_ext,p);
895: break;
896: case FF_GFSN:
897: getmod_gfsn(&dp);
898: makevar("y",&y);
899: sfumtop(VR(y),dp,&p1);
900: n0 = mknode(4,q,current_gfs_ext,p,p1);
901: break;
1.7 noro 902: }
1.6 noro 903: MKLIST(list,n0);
904: *rp = (Obj)list; break;
1.1 noro 905: default:
906: *rp = 0; break;
907: }
908: }
909:
1.16 noro 910: void Pextdeg_ff(Q *rp)
1.1 noro 911: {
912: int d;
913: UP2 up2;
914: UP up;
1.15 noro 915: UM dp;
1.1 noro 916:
917: switch ( current_ff ) {
918: case FF_GFP:
919: *rp = ONE; break;
920: case FF_GF2N:
921: getmod_gf2n(&up2); d = degup2(up2); STOQ(d,*rp); break;
922: case FF_GFPN:
923: getmod_gfpn(&up); STOQ(up->d,*rp); break;
1.10 noro 924: case FF_GFS:
925: if ( !current_gfs_ext )
926: *rp = ONE;
927: else
928: *rp = DEG(DC(current_gfs_ext));
929: break;
1.15 noro 930: case FF_GFSN:
931: getmod_gfsn(&dp);
932: STOQ(DEG(dp),*rp);
933: break;
1.1 noro 934: default:
935: error("extdeg_ff : current_ff is not set");
936: }
937: }
938:
1.16 noro 939: void Pcharacteristic_ff(Q *rp)
1.1 noro 940: {
941: N lm;
942:
943: switch ( current_ff ) {
944: case FF_GFP:
945: case FF_GFPN:
946: getmod_lm(&lm); NTOQ(lm,1,*rp); break;
947: case FF_GF2N:
948: STOQ(2,*rp); break;
1.10 noro 949: case FF_GFS:
1.15 noro 950: case FF_GFSN:
1.10 noro 951: STOQ(current_gfs_p,*rp); break;
1.1 noro 952: default:
953: error("characteristic_ff : current_ff is not set");
954: }
955: }
956:
1.16 noro 957: void Pfield_type_ff(Q *rp)
1.1 noro 958: {
959: STOQ(current_ff,*rp);
960: }
961:
1.16 noro 962: void Pfield_order_ff(Q *rp)
1.1 noro 963: {
964: N n;
965:
966: field_order_ff(&n);
967: NTOQ(n,1,*rp);
968: }
969:
1.16 noro 970: void Prandom_ff(Obj *rp)
1.1 noro 971: {
972: LM l;
973: GF2N g;
974: GFPN p;
1.7 noro 975: GFS s;
1.15 noro 976: GFSN spn;
1.1 noro 977:
978: switch ( current_ff ) {
979: case FF_GFP:
980: random_lm(&l); *rp = (Obj)l; break;
981: case FF_GF2N:
982: randomgf2n(&g); *rp = (Obj)g; break;
983: case FF_GFPN:
984: randomgfpn(&p); *rp = (Obj)p; break;
1.7 noro 985: case FF_GFS:
986: randomgfs(&s); *rp = (Obj)s; break;
1.15 noro 987: case FF_GFSN:
988: randomgfsn(&spn); *rp = (Obj)spn; break;
1.1 noro 989: default:
990: error("random_ff : current_ff is not set");
991: }
992: }
993:
1.16 noro 994: void Psimp_ff(NODE arg,Obj *rp)
995: {
1.1 noro 996: simp_ff((Obj)ARG0(arg),rp);
997: }
998:
1.16 noro 999: void getcoef(VL vl,P p,V v,Q d,P *r)
1.1 noro 1000: {
1001: P s,t,u,a,b,x;
1002: DCP dc;
1003: V w;
1004:
1005: if ( !p )
1006: *r = 0;
1007: else if ( NUM(p) )
1008: *r = d ? 0 : p;
1009: else if ( (w=VR(p)) == v ) {
1010: for ( dc = DC(p); dc && cmpq(DEG(dc),d); dc = NEXT(dc) );
1011: *r = dc ? COEF(dc) : 0;
1012: } else {
1013: MKV(w,x);
1014: for ( dc = DC(p), s = 0; dc; dc = NEXT(dc) ) {
1015: getcoef(vl,COEF(dc),v,d,&t);
1016: if ( t ) {
1017: pwrp(vl,x,DEG(dc),&u); mulp(vl,t,u,&a);
1018: addp(vl,s,a,&b); s = b;
1019: }
1020: }
1021: *r = s;
1022: }
1023: }
1024:
1.16 noro 1025: void Pdeglist(NODE arg,LIST *rp)
1.1 noro 1026: {
1027: NODE d;
1028:
1029: getdeglist((P)ARG0(arg),VR((P)ARG1(arg)),&d);
1030: MKLIST(*rp,d);
1031: }
1032:
1.16 noro 1033: void Pch_mv(NODE arg,P *rp)
1.1 noro 1034: {
1035: change_mvar(CO,(P)ARG0(arg),VR((P)ARG1(arg)),rp);
1036: }
1037:
1.16 noro 1038: void Pre_mv(NODE arg,P *rp)
1.1 noro 1039: {
1040: restore_mvar(CO,(P)ARG0(arg),VR((P)ARG1(arg)),rp);
1041: }
1042:
1.16 noro 1043: void change_mvar(VL vl,P p,V v,P *r)
1.1 noro 1044: {
1045: Q d;
1046: DCP dc,dc0;
1047: NODE dl;
1048:
1049: if ( !p || NUM(p) || (VR(p) == v) )
1050: *r = p;
1051: else {
1052: getdeglist(p,v,&dl);
1053: for ( dc0 = 0; dl; dl = NEXT(dl) ) {
1054: NEXTDC(dc0,dc); DEG(dc) = d = (Q)BDY(dl);
1055: getcoef(vl,p,v,d,&COEF(dc));
1056: }
1057: NEXT(dc) = 0; MKP(v,dc0,*r);
1058: }
1059: }
1060:
1.16 noro 1061: void restore_mvar(VL vl,P p,V v,P *r)
1.1 noro 1062: {
1063: P s,u,a,b,x;
1064: DCP dc;
1065:
1066: if ( !p || NUM(p) || (VR(p) != v) )
1067: *r = p;
1068: else {
1069: MKV(v,x);
1070: for ( dc = DC(p), s = 0; dc; dc = NEXT(dc) ) {
1071: pwrp(vl,x,DEG(dc),&u); mulp(vl,COEF(dc),u,&a);
1072: addp(vl,s,a,&b); s = b;
1073: }
1074: *r = s;
1075: }
1076: }
1077:
1.16 noro 1078: void getdeglist(P p,V v,NODE *d)
1.1 noro 1079: {
1080: NODE n,n0,d0,d1,d2;
1081: DCP dc;
1082:
1083: if ( !p || NUM(p) ) {
1084: MKNODE(n,0,0); *d = n;
1085: } else if ( VR(p) == v ) {
1086: for ( n0 = 0, dc = DC(p); dc; dc = NEXT(dc) ) {
1087: NEXTNODE(n0,n); BDY(n) = (pointer)DEG(dc);
1088: }
1089: NEXT(n) = 0; *d = n0;
1090: } else {
1091: for ( dc = DC(p), d0 = 0; dc; dc = NEXT(dc) ) {
1092: getdeglist(COEF(dc),v,&d1); mergedeglist(d0,d1,&d2); d0 = d2;
1093: }
1094: *d = d0;
1095: }
1096: }
1.16 noro 1097:
1098: void Pmergelist(NODE arg,LIST *rp)
1.1 noro 1099: {
1100: NODE n;
1101:
1102: asir_assert(ARG0(arg),O_LIST,"mergelist");
1103: asir_assert(ARG1(arg),O_LIST,"mergelist");
1104: mergedeglist(BDY((LIST)ARG0(arg)),BDY((LIST)ARG1(arg)),&n);
1105: MKLIST(*rp,n);
1106: }
1107:
1.16 noro 1108: void mergedeglist(NODE d0,NODE d1,NODE *dr)
1.1 noro 1109: {
1110: NODE t0,t,dt;
1111: Q d;
1112: int c;
1113:
1114: if ( !d0 )
1115: *dr = d1;
1116: else {
1117: while ( d1 ) {
1118: dt = d1; d1 = NEXT(d1); d = (Q)BDY(dt);
1119: for ( t0 = 0, t = d0; t; t0 = t, t = NEXT(t) ) {
1120: c = cmpq(d,(Q)BDY(t));
1121: if ( !c )
1122: break;
1123: else if ( c > 0 ) {
1124: if ( !t0 ) {
1125: NEXT(dt) = d0; d0 = dt;
1126: } else {
1127: NEXT(t0) = dt; NEXT(dt) = t;
1128: }
1129: break;
1130: }
1131: }
1132: if ( !t ) {
1133: NEXT(t0) = dt; *dr = d0; return;
1134: }
1135: }
1136: *dr = d0;
1137: }
1138: }
1139:
1.16 noro 1140: void Pptomp(NODE arg,P *rp)
1.1 noro 1141: {
1142: ptomp(QTOS((Q)ARG1(arg)),(P)ARG0(arg),rp);
1143: }
1144:
1.16 noro 1145: void Pmptop(NODE arg,P *rp)
1.1 noro 1146: {
1147: mptop((P)ARG0(arg),rp);
1148: }
1149:
1.16 noro 1150: void Pptolmp(NODE arg,P *rp)
1.1 noro 1151: {
1152: ptolmp((P)ARG0(arg),rp);
1153: }
1154:
1.16 noro 1155: void Plmptop(NODE arg,P *rp)
1.1 noro 1156: {
1157: lmptop((P)ARG0(arg),rp);
1.11 noro 1158: }
1159:
1.16 noro 1160: void Psf_galois_action(NODE arg,P *rp)
1.11 noro 1161: {
1162: sf_galois_action(ARG0(arg),ARG1(arg),rp);
1.12 noro 1163: }
1164:
1165: /*
1166: sf_embed(F,B,PM)
1167: F : an element of GF(pn)
1168: B : the image of the primitive root of GF(pn)
1169: PM : order of GF(pm)
1170: */
1171:
1.16 noro 1172: void Psf_embed(NODE arg,P *rp)
1.12 noro 1173: {
1174: int k,pm;
1175:
1176: /* GF(pn)={0,1,a,a^2,...}->GF(pm)={0,1,b,b^2,...}; a->b^k */
1177: k = CONT((GFS)ARG1(arg));
1178: pm = QTOS((Q)ARG2(arg));
1179: sf_embed((P)ARG0(arg),k,pm,rp);
1.13 noro 1180: }
1181:
1.16 noro 1182: void Psf_log(NODE arg,Q *rp)
1.13 noro 1183: {
1184: int k;
1185:
1186: if ( !ARG0(arg) )
1187: error("sf_log : invalid armument");
1188: k = CONT((GFS)ARG0(arg));
1189: STOQ(k,*rp);
1.12 noro 1190: }
1191:
1.16 noro 1192: void Psf_find_root(NODE arg,GFS *rp)
1.12 noro 1193: {
1194: P p;
1195: Obj t;
1196: int d;
1197: UM u;
1198: int *root;
1199:
1200: p = (P)ARG0(arg);
1201: simp_ff((Obj)p,&t); p = (P)t;
1202: d = getdeg(VR(p),p);
1203: u = W_UMALLOC(d);
1204: ptosfum(p,u);
1205: root = (int *)ALLOCA(d*sizeof(int));
1206: find_rootsf(u,root);
1207: MKGFS(IFTOF(root[0]),*rp);
1208: }
1209:
1.16 noro 1210: void Psf_minipoly(NODE arg,P *rp)
1.12 noro 1211: {
1212: Obj t;
1213: P p1,p2;
1214: int d1,d2;
1215: UM up1,up2,m;
1216:
1217: p1 = (P)ARG0(arg); simp_ff((Obj)p1,&t); p1 = (P)t;
1218: p2 = (P)ARG1(arg); simp_ff((Obj)p2,&t); p2 = (P)t;
1219: d1 = getdeg(VR(p1),p1); up1 = W_UMALLOC(d1); ptosfum(p1,up1);
1220: d2 = getdeg(VR(p2),p2); up2 = W_UMALLOC(d2); ptosfum(p2,up2);
1221: m = W_UMALLOC(d2);
1222: minipolysf(up1,up2,m);
1223: sfumtop(VR(p2),m,&p1);
1224: sfptop(p1,rp);
1.11 noro 1225: }
1226:
1.16 noro 1227: void Pptosfp(NODE arg,P *rp)
1.11 noro 1228: {
1229: ptosfp(ARG0(arg),rp);
1.6 noro 1230: }
1231:
1.16 noro 1232: void Psfptop(NODE arg,P *rp)
1.6 noro 1233: {
1234: sfptop((P)ARG0(arg),rp);
1.18 noro 1235: }
1236:
1237: void Psfptopsfp(NODE arg,P *rp)
1238: {
1239: sfptopsfp((P)ARG0(arg),VR((P)ARG1(arg)),rp);
1.1 noro 1240: }
1241:
1.16 noro 1242: void Pptogf2n(NODE arg,GF2N *rp)
1.1 noro 1243: {
1244: ptogf2n((Obj)ARG0(arg),rp);
1245: }
1246:
1.16 noro 1247: void Pgf2ntop(NODE arg,P *rp)
1.1 noro 1248: {
1249: if ( argc(arg) == 2 )
1250: up2_var = VR((P)ARG1(arg));
1251: gf2ntop((GF2N)ARG0(arg),rp);
1252: }
1253:
1.16 noro 1254: void Pgf2ntovect(NODE arg,VECT *rp)
1.1 noro 1255: {
1256: gf2ntovect((GF2N)ARG0(arg),rp);
1257: }
1258:
1.16 noro 1259: void Pptogfpn(NODE arg,GFPN *rp)
1.1 noro 1260: {
1261: ptogfpn((Obj)ARG0(arg),rp);
1262: }
1263:
1.16 noro 1264: void Pgfpntop(NODE arg,P *rp)
1.1 noro 1265: {
1266: if ( argc(arg) == 2 )
1267: up_var = VR((P)ARG1(arg));
1268: gfpntop((GFPN)ARG0(arg),rp);
1269: }
1270:
1.16 noro 1271: void Pureverse(NODE arg,P *rp)
1.1 noro 1272: {
1273: UP p,r;
1274:
1275: ptoup((P)ARG0(arg),&p);
1.3 noro 1276: if ( argc(arg) == 1 )
1277: reverseup(p,p->d,&r);
1278: else
1279: reverseup(p,QTOS((Q)ARG1(arg)),&r);
1.1 noro 1280: uptop(r,rp);
1281: }
1282:
1.16 noro 1283: void Putrunc(NODE arg,P *rp)
1.1 noro 1284: {
1285: UP p,r;
1286:
1287: ptoup((P)ARG0(arg),&p);
1288: truncup(p,QTOS((Q)ARG1(arg))+1,&r);
1289: uptop(r,rp);
1290: }
1291:
1.16 noro 1292: void Pudecomp(NODE arg,LIST *rp)
1.1 noro 1293: {
1294: P u,l;
1295: UP p,up,low;
1296: NODE n0,n1;
1297:
1298: ptoup((P)ARG0(arg),&p);
1299: decompup(p,QTOS((Q)ARG1(arg))+1,&low,&up);
1300: uptop(low,&l);
1301: uptop(up,&u);
1302: MKNODE(n1,u,0); MKNODE(n0,l,n1);
1303: MKLIST(*rp,n0);
1304: }
1305:
1.16 noro 1306: void Purembymul(NODE arg,P *rp)
1.1 noro 1307: {
1308: UP p1,p2,r;
1309:
1310: if ( !ARG0(arg) || !ARG1(arg) )
1311: *rp = 0;
1312: else {
1313: ptoup((P)ARG0(arg),&p1);
1314: ptoup((P)ARG1(arg),&p2);
1315: rembymulup(p1,p2,&r);
1316: uptop(r,rp);
1317: }
1318: }
1319:
1320: /*
1321: * d1 = deg(p1), d2 = deg(p2)
1322: * d1 <= 2*d2-1
1323: * p2*inv = 1 mod x^d2
1324: */
1325:
1.16 noro 1326: void Purembymul_precomp(NODE arg,P *rp)
1.1 noro 1327: {
1328: UP p1,p2,inv,r;
1329:
1330: if ( !ARG0(arg) || !ARG1(arg) )
1331: *rp = 0;
1332: else {
1333: ptoup((P)ARG0(arg),&p1);
1334: ptoup((P)ARG1(arg),&p2);
1335: ptoup((P)ARG2(arg),&inv);
1336: if ( p1->d >= 2*p2->d ) {
1337: error("urembymul_precomp : degree of 1st arg is too large");
1338: /* fprintf(stderr,"urembymul_precomp : degree of 1st arg is too large"); */
1339: remup(p1,p2,&r);
1340: } else
1341: hybrid_rembymulup_special(current_ff,p1,p2,inv,&r);
1342: uptop(r,rp);
1343: }
1344: }
1345:
1.16 noro 1346: void Puinvmod(NODE arg,P *rp)
1.1 noro 1347: {
1348: UP p,r;
1349:
1350: ptoup((P)ARG0(arg),&p);
1351: invmodup(p,QTOS((Q)ARG1(arg)),&r);
1352: uptop(r,rp);
1353: }
1354:
1.16 noro 1355: void Purevinvmod(NODE arg,P *rp)
1.1 noro 1356: {
1357: UP p,pr,r;
1358:
1359: ptoup((P)ARG0(arg),&p);
1360: reverseup(p,p->d,&pr);
1361: invmodup(pr,QTOS((Q)ARG1(arg)),&r);
1362: uptop(r,rp);
1363: }
1364:
1.16 noro 1365: void Ppwrmod_ff(NODE arg,P *rp)
1.1 noro 1366: {
1367: UP p1,p2;
1368:
1369: ptoup((P)ARG0(arg),&p1);
1370: switch ( current_ff ) {
1371: case FF_GFP:
1372: hybrid_powermodup(p1,&p2); break;
1373: case FF_GF2N:
1374: powermodup_gf2n(p1,&p2); break;
1375: case FF_GFPN:
1.10 noro 1376: case FF_GFS:
1.15 noro 1377: case FF_GFSN:
1.1 noro 1378: powermodup(p1,&p2); break;
1379: default:
1380: error("pwrmod_ff : current_ff is not set");
1381: }
1382: uptop(p2,rp);
1383: }
1384:
1.16 noro 1385: void Pgeneric_pwrmod_ff(NODE arg,P *rp)
1.1 noro 1386: {
1387: UP g,f,r;
1388:
1389: ptoup((P)ARG0(arg),&g);
1390: ptoup((P)ARG1(arg),&f);
1391: switch ( current_ff ) {
1392: case FF_GFP:
1393: hybrid_generic_powermodup(g,f,(Q)ARG2(arg),&r); break;
1394: case FF_GF2N:
1395: generic_powermodup_gf2n(g,f,(Q)ARG2(arg),&r); break;
1396: case FF_GFPN:
1.10 noro 1397: case FF_GFS:
1.15 noro 1398: case FF_GFSN:
1.1 noro 1399: generic_powermodup(g,f,(Q)ARG2(arg),&r); break;
1400: default:
1401: error("generic_pwrmod_ff : current_ff is not set");
1402: }
1403: uptop(r,rp);
1404: }
1405:
1.16 noro 1406: void Ppwrtab_ff(NODE arg,VECT *rp)
1.1 noro 1407: {
1408: UP f,xp;
1409: UP *tab;
1410: VECT r;
1411: int i,d;
1412:
1413: ptoup((P)ARG0(arg),&f);
1414: ptoup((P)ARG1(arg),&xp);
1415: d = f->d;
1416:
1417: tab = (UP *)ALLOCA(d*sizeof(UP));
1418: switch ( current_ff ) {
1419: case FF_GFP:
1420: hybrid_powertabup(f,xp,tab); break;
1421: case FF_GF2N:
1422: powertabup_gf2n(f,xp,tab); break;
1423: case FF_GFPN:
1.10 noro 1424: case FF_GFS:
1.15 noro 1425: case FF_GFSN:
1.1 noro 1426: powertabup(f,xp,tab); break;
1427: default:
1428: error("pwrtab_ff : current_ff is not set");
1429: }
1430: MKVECT(r,d); *rp = r;
1431: for ( i = 0; i < d; i++ )
1432: uptop(tab[i],(P *)&BDY(r)[i]);
1433: }
1434:
1.16 noro 1435: void Pkpwrmod_lm(NODE arg,P *rp)
1.1 noro 1436: {
1437: UP p1,p2;
1438:
1439: ptoup((P)ARG0(arg),&p1);
1440: powermodup(p1,&p2);
1441: uptop(p2,rp);
1442: }
1443:
1.16 noro 1444: void Pkgeneric_pwrmod_lm(NODE arg,P *rp)
1.1 noro 1445: {
1446: UP g,f,r;
1447:
1448: ptoup((P)ARG0(arg),&g);
1449: ptoup((P)ARG1(arg),&f);
1450: generic_powermodup(g,f,(Q)ARG2(arg),&r);
1451: uptop(r,rp);
1452: }
1453:
1.16 noro 1454: void Pkpwrtab_lm(NODE arg,VECT *rp)
1.1 noro 1455: {
1456: UP f,xp;
1457: UP *tab;
1458: VECT r;
1459: int i,d;
1460:
1461: ptoup((P)ARG0(arg),&f);
1462: ptoup((P)ARG1(arg),&xp);
1463: d = f->d;
1464:
1465: tab = (UP *)ALLOCA(d*sizeof(UP));
1466: powertabup(f,xp,tab);
1467: MKVECT(r,d); *rp = r;
1468: for ( i = 0; i < d; i++ )
1469: uptop(tab[i],(P *)&BDY(r)[i]);
1470: }
1471:
1.16 noro 1472: void Plazy_lm(NODE arg,Q *rp)
1.1 noro 1473: {
1474: lm_lazy = QTOS((Q)ARG0(arg));
1475: *rp = 0;
1476: }
1477:
1.16 noro 1478: void Pkmul(NODE arg,P *rp)
1.1 noro 1479: {
1480: P n1,n2;
1481:
1482: n1 = (P)ARG0(arg); n2 = (P)ARG1(arg);
1483: asir_assert(n1,O_P,"kmul");
1484: asir_assert(n2,O_P,"kmul");
1485: kmulp(CO,n1,n2,rp);
1486: }
1487:
1.16 noro 1488: void Pksquare(NODE arg,P *rp)
1.1 noro 1489: {
1490: P n1;
1491:
1492: n1 = (P)ARG0(arg);
1493: asir_assert(n1,O_P,"ksquare");
1494: ksquarep(CO,n1,rp);
1495: }
1496:
1.16 noro 1497: void Pktmul(NODE arg,P *rp)
1.1 noro 1498: {
1499: UP p1,p2,r;
1500:
1501: ptoup((P)ARG0(arg),&p1);
1502: ptoup((P)ARG1(arg),&p2);
1503: tkmulup(p1,p2,QTOS((Q)ARG2(arg))+1,&r);
1504: uptop(r,rp);
1505: }
1506:
1.16 noro 1507: void Pumul(NODE arg,P *rp)
1.1 noro 1508: {
1509: P a1,a2;
1510: UP p1,p2,r;
1511:
1512: a1 = (P)ARG0(arg); a2 = (P)ARG1(arg);
1513: if ( !a1 || !a2 || NUM(a1) || NUM(a2) )
1514: mulp(CO,a1,a2,rp);
1515: else {
1.16 noro 1516: if ( !uzpcheck((Obj)a1) || !uzpcheck((Obj)a2) || VR(a1) != VR(a2) )
1.1 noro 1517: error("umul : invalid argument");
1518: ptoup(a1,&p1);
1519: ptoup(a2,&p2);
1520: hybrid_mulup(0,p1,p2,&r);
1521: uptop(r,rp);
1522: }
1523: }
1524:
1.16 noro 1525: void Pusquare(NODE arg,P *rp)
1.1 noro 1526: {
1.16 noro 1527: UP p1,r;
1.1 noro 1528:
1529: ptoup((P)ARG0(arg),&p1);
1530: hybrid_squareup(0,p1,&r);
1531: uptop(r,rp);
1532: }
1533:
1.16 noro 1534: void Putmul(NODE arg,P *rp)
1.1 noro 1535: {
1536: UP p1,p2,r;
1537:
1538: ptoup((P)ARG0(arg),&p1);
1539: ptoup((P)ARG1(arg),&p2);
1540: hybrid_tmulup(0,p1,p2,QTOS((Q)ARG2(arg))+1,&r);
1541: uptop(r,rp);
1542: }
1543:
1.16 noro 1544: void Pumul_ff(NODE arg,Obj *rp)
1.1 noro 1545: {
1546: P a1,a2;
1547: UP p1,p2,r;
1548: P p;
1549:
1550: a1 = (P)ARG0(arg); a2 = (P)ARG1(arg);
1551: ptoup(a1,&p1);
1552: ptoup(a2,&p2);
1553: hybrid_mulup(current_ff,p1,p2,&r);
1554: uptop(r,&p);
1555: simp_ff((Obj)p,rp);
1556: }
1557:
1.16 noro 1558: void Pusquare_ff(NODE arg,Obj *rp)
1.1 noro 1559: {
1.16 noro 1560: UP p1,r;
1.1 noro 1561: P p;
1562:
1563: ptoup((P)ARG0(arg),&p1);
1564: hybrid_squareup(current_ff,p1,&r);
1565: uptop(r,&p);
1566: simp_ff((Obj)p,rp);
1567: }
1568:
1.16 noro 1569: void Putmul_ff(NODE arg,Obj *rp)
1.1 noro 1570: {
1571: UP p1,p2,r;
1572: P p;
1573:
1574: ptoup((P)ARG0(arg),&p1);
1575: ptoup((P)ARG1(arg),&p2);
1576: hybrid_tmulup(current_ff,p1,p2,QTOS((Q)ARG2(arg))+1,&r);
1577: uptop(r,&p);
1578: simp_ff((Obj)p,rp);
1579: }
1580:
1.16 noro 1581: void Phfmul_lm(NODE arg,P *rp)
1.1 noro 1582: {
1583: UP p1,p2,r;
1584: UP hi,lo,mid,t,s,p10,p11,p20,p21;
1585: unsigned int m,d;
1586: int i;
1587:
1588: ptoup((P)ARG0(arg),&p1);
1589: ptoup((P)ARG1(arg),&p2);
1590: d = MAX(p1->d,p2->d);
1591: for ( m = 1; m < d; m <<= 1 );
1592: if ( m > d )
1593: m >>= 1;
1594: if ( d-m < 10000 ) {
1595: decompup(p1,m,&p10,&p11); /* p1 = p11*x^m+p10 */
1596: decompup(p2,m,&p20,&p21); /* p2 = p21*x^m+p20 */
1597: fft_mulup_lm(p10,p20,&lo);
1598: kmulup(p11,p21,&hi);
1599: kmulup(p11,p20,&t); kmulup(p10,p21,&s); addup(t,s,&mid);
1600: r = UPALLOC(2*d);
1601: bzero((char *)COEF(r),(2*d+1)*sizeof(Num));
1602: if ( lo )
1603: bcopy((char *)COEF(lo),(char *)COEF(r),(DEG(lo)+1)*sizeof(Num));
1604: if ( hi )
1605: bcopy((char *)COEF(hi),(char *)(COEF(r)+2*m),(DEG(hi)+1)*sizeof(Num));
1606: for ( i = 2*d; i >= 0 && !COEF(r)[i]; i-- );
1607: if ( i < 0 )
1608: r = 0;
1609: else {
1610: DEG(r) = i;
1611: t = UPALLOC(DEG(mid)+m); DEG(t) = DEG(mid)+m;
1612: bzero((char *)COEF(t),(DEG(mid)+m+1)*sizeof(Num));
1613: bcopy((char *)COEF(mid),(char *)(COEF(t)+m),(DEG(mid)+1)*sizeof(Num));
1614: addup(t,r,&s);
1615: r = s;
1616: }
1617: } else
1618: fft_mulup_lm(p1,p2,&r);
1619: uptop(r,rp);
1620: }
1621:
1.16 noro 1622: void Pfmultest(NODE arg,LIST *rp)
1.1 noro 1623: {
1624: P p1,p2,r;
1625: int d1,d2;
1626: UM w1,w2,wr;
1627: unsigned int *f1,*f2,*fr,*w;
1628: int index,mod,root,d,maxint,i;
1629: int cond;
1630: Q prime;
1631: NODE n0,n1;
1632:
1633: p1 = (P)ARG0(arg); p2 = (P)ARG1(arg); index = QTOS((Q)ARG2(arg));
1634: FFT_primes(index,&mod,&root,&d);
1635: maxint = 1<<d;
1636: d1 = UDEG(p1); d2 = UDEG(p2);
1637: if ( maxint < d1+d2+1 )
1638: *rp = 0;
1639: else {
1640: w1 = W_UMALLOC(d1); w2 = W_UMALLOC(d2);
1641: wr = W_UMALLOC(d1+d2);
1642: ptoum(mod,p1,w1); ptoum(mod,p2,w2);
1643: f1 = (unsigned int *)ALLOCA(maxint*sizeof(unsigned int));
1644: f2 = (unsigned int *)ALLOCA(maxint*sizeof(unsigned int));
1645: fr = (unsigned int *)ALLOCA(maxint*sizeof(unsigned int));
1646: w = (unsigned int *)ALLOCA(12*maxint*sizeof(unsigned int));
1647:
1648: for ( i = 0; i <= d1; i++ )
1649: f1[i] = (unsigned int)w1->c[i];
1650: for ( i = 0; i <= d2; i++ )
1651: f2[i] = (unsigned int)w2->c[i];
1652:
1653: cond = FFT_pol_product(d1,f1,d2,f2,fr,index,w);
1654: if ( cond )
1655: error("fmultest : ???");
1656: wr->d = d1+d2;
1657: for ( i = 0; i <= d1+d2; i++ )
1658: wr->c[i] = (unsigned int)fr[i];
1659: umtop(VR(p1),wr,&r);
1660: STOQ(mod,prime);
1661: MKNODE(n1,prime,0);
1662: MKNODE(n0,r,n1);
1663: MKLIST(*rp,n0);
1664: }
1665: }
1666:
1.16 noro 1667: void Pkmulum(NODE arg,P *rp)
1.1 noro 1668: {
1669: P p1,p2;
1670: int d1,d2,mod;
1671: UM w1,w2,wr;
1672:
1673: p1 = (P)ARG0(arg); p2 = (P)ARG1(arg); mod = QTOS((Q)ARG2(arg));
1674: d1 = UDEG(p1); d2 = UDEG(p2);
1675: w1 = W_UMALLOC(d1); w2 = W_UMALLOC(d2);
1676: wr = W_UMALLOC(d1+d2);
1677: ptoum(mod,p1,w1); ptoum(mod,p2,w2);
1678: kmulum(mod,w1,w2,wr);
1679: umtop(VR(p1),wr,rp);
1680: }
1681:
1.16 noro 1682: void Pksquareum(NODE arg,P *rp)
1.1 noro 1683: {
1684: P p1;
1685: int d1,mod;
1686: UM w1,wr;
1687:
1688: p1 = (P)ARG0(arg); mod = QTOS((Q)ARG1(arg));
1689: d1 = UDEG(p1);
1690: w1 = W_UMALLOC(d1);
1691: wr = W_UMALLOC(2*d1);
1692: ptoum(mod,p1,w1);
1693: kmulum(mod,w1,w1,wr);
1694: umtop(VR(p1),wr,rp);
1695: }
1696:
1.16 noro 1697: void Ptracemod_gf2n(NODE arg,P *rp)
1.1 noro 1698: {
1699: UP g,f,r;
1700:
1701: ptoup((P)ARG0(arg),&g);
1702: ptoup((P)ARG1(arg),&f);
1703: tracemodup_gf2n(g,f,(Q)ARG2(arg),&r);
1704: uptop(r,rp);
1.2 noro 1705: }
1706:
1.16 noro 1707: void Pumul_specialmod(NODE arg,P *rp)
1.2 noro 1708: {
1709: P a1,a2;
1710: UP p1,p2,r;
1711: int i,nmod;
1712: int *modind;
1713: NODE t,n;
1714:
1715: a1 = (P)ARG0(arg); a2 = (P)ARG1(arg);
1716: if ( !a1 || !a2 || NUM(a1) || NUM(a2) )
1717: mulp(CO,a1,a2,rp);
1718: else {
1.16 noro 1719: if ( !uzpcheck((Obj)a1) || !uzpcheck((Obj)a2) || VR(a1) != VR(a2) )
1.2 noro 1720: error("umul_specialmod : invalid argument");
1721: ptoup(a1,&p1);
1722: ptoup(a2,&p2);
1723: n = BDY((LIST)ARG2(arg));
1724: nmod = length(n);
1725: modind = (int *)MALLOC_ATOMIC(nmod*sizeof(int));
1726: for ( i = 0, t = n; i < nmod; i++, t = NEXT(t) )
1727: modind[i] = QTOS((Q)BDY(t));
1728: fft_mulup_specialmod_main(p1,p2,0,modind,nmod,&r);
1729: uptop(r,rp);
1730: }
1731: }
1732:
1.16 noro 1733: void Pusquare_specialmod(NODE arg,P *rp)
1.2 noro 1734: {
1735: P a1;
1736: UP p1,r;
1737: int i,nmod;
1738: int *modind;
1739: NODE t,n;
1740:
1741: a1 = (P)ARG0(arg);
1742: if ( !a1 || NUM(a1) )
1743: mulp(CO,a1,a1,rp);
1744: else {
1.16 noro 1745: if ( !uzpcheck((Obj)a1) )
1.2 noro 1746: error("usquare_specialmod : invalid argument");
1747: ptoup(a1,&p1);
1748: n = BDY((LIST)ARG1(arg));
1749: nmod = length(n);
1750: modind = (int *)MALLOC_ATOMIC(nmod*sizeof(int));
1751: for ( i = 0, t = n; i < nmod; i++, t = NEXT(t) )
1752: modind[i] = QTOS((Q)BDY(t));
1753: fft_mulup_specialmod_main(p1,p1,0,modind,nmod,&r);
1754: uptop(r,rp);
1755: }
1756: }
1757:
1.16 noro 1758: void Putmul_specialmod(NODE arg,P *rp)
1.2 noro 1759: {
1760: P a1,a2;
1761: UP p1,p2,r;
1762: int i,nmod;
1763: int *modind;
1764: NODE t,n;
1765:
1766: a1 = (P)ARG0(arg); a2 = (P)ARG1(arg);
1767: if ( !a1 || !a2 || NUM(a1) || NUM(a2) )
1768: mulp(CO,a1,a2,rp);
1769: else {
1.16 noro 1770: if ( !uzpcheck((Obj)a1) || !uzpcheck((Obj)a2) || VR(a1) != VR(a2) )
1.2 noro 1771: error("utmul_specialmod : invalid argument");
1772: ptoup(a1,&p1);
1773: ptoup(a2,&p2);
1774: n = BDY((LIST)ARG3(arg));
1775: nmod = length(n);
1776: modind = (int *)MALLOC_ATOMIC(nmod*sizeof(int));
1777: for ( i = 0, t = n; i < nmod; i++, t = NEXT(t) )
1778: modind[i] = QTOS((Q)BDY(t));
1779: fft_mulup_specialmod_main(p1,p2,QTOS((Q)ARG2(arg))+1,modind,nmod,&r);
1780: uptop(r,rp);
1781: }
1.1 noro 1782: }