=================================================================== RCS file: /home/cvs/OpenXM_contrib2/asir2000/engine/A.c,v retrieving revision 1.1.1.1 retrieving revision 1.6 diff -u -p -r1.1.1.1 -r1.6 --- OpenXM_contrib2/asir2000/engine/A.c 1999/12/03 07:39:07 1.1.1.1 +++ OpenXM_contrib2/asir2000/engine/A.c 2005/07/11 00:24:02 1.6 @@ -1,6 +1,56 @@ -/* $OpenXM: OpenXM/src/asir99/engine/A.c,v 1.1.1.1 1999/11/10 08:12:26 noro Exp $ */ +/* + * Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED + * All rights reserved. + * + * FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited, + * non-exclusive and royalty-free license to use, copy, modify and + * redistribute, solely for non-commercial and non-profit purposes, the + * computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and + * conditions of this Agreement. For the avoidance of doubt, you acquire + * only a limited right to use the SOFTWARE hereunder, and FLL or any + * third party developer retains all rights, including but not limited to + * copyrights, in and to the SOFTWARE. + * + * (1) FLL does not grant you a license in any way for commercial + * purposes. You may use the SOFTWARE only for non-commercial and + * non-profit purposes only, such as academic, research and internal + * business use. + * (2) The SOFTWARE is protected by the Copyright Law of Japan and + * international copyright treaties. If you make copies of the SOFTWARE, + * with or without modification, as permitted hereunder, you shall affix + * to all such copies of the SOFTWARE the above copyright notice. + * (3) An explicit reference to this SOFTWARE and its copyright owner + * shall be made on your publication or presentation in any form of the + * results obtained by use of the SOFTWARE. + * (4) In the event that you modify the SOFTWARE, you shall notify FLL by + * e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification + * for such modification or the source code of the modified part of the + * SOFTWARE. + * + * THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL + * MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND + * EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS + * FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES' + * RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY + * MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY. + * UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT, + * OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY + * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL + * DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES + * ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES + * FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY + * DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF + * SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART + * OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY + * DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, + * PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. + * + * $OpenXM: OpenXM_contrib2/asir2000/engine/A.c,v 1.5 2001/10/09 01:36:09 noro Exp $ +*/ #include "ca.h" +int get_lprime(); + void pdiva(vl,p0,p1,p2,pr) VL vl; P p1,p2,p0; @@ -221,9 +271,7 @@ P p,p0,*pr; wt = W_UMALLOC(m+n); ws = W_UMALLOC(m+n); wm = W_UMALLOC(m+n); for ( q = ONE, t = 0, c = 0, index = 0; ; ) { - mod = lprime[index++]; - if ( !mod ) - error("pinva : lprime[] exhausted."); + mod = get_lprime(index++); if ( !rem(NM((Q)LC(p)),mod) || !rem(NM((Q)LC(p0)),mod) ) continue; ptomp(mod,p,&tg); ptomp(mod,p0,&th); srchump(mod,tg,th,&tr); @@ -250,4 +298,65 @@ P p,p0,*pr; break; } ptozp(c,1,&s,pr); +} + +/* + * compute g s.t. h*p0+g*p = res(v,p0,p) + */ + +void inva_chrem(P p0, P p, NODE *pr) +{ + V v; + Q f,q,q1; + Q u,t,a,b,s,dn; + P c,c0,c1; + P tg,th,tr; + P z,zz,zzz; + UM wg,wh,ws,wt,wm; + int n,m,modres,mod,index,i; + + v = VR(p); n=deg(v,p); m=deg(v,p0); + norm(p,&a); norm(p0,&b); + STOQ(m,u); pwrq(a,u,&t); STOQ(n,u); pwrq(b,u,&s); + mulq(t,s,&u); + factorial(n+m,&t); mulq(u,t,&s); addq(s,s,&f); + wg = W_UMALLOC(m+n); wh = W_UMALLOC(m+n); + wt = W_UMALLOC(m+n); ws = W_UMALLOC(m+n); + wm = W_UMALLOC(m+n); + for ( q = ONE, t = 0, c = 0, index = 0; ; ) { + mod = get_lprime(index++); + if ( !rem(NM((Q)LC(p)),mod) || !rem(NM((Q)LC(p0)),mod) ) + continue; + ptomp(mod,p,&tg); ptomp(mod,p0,&th); srchump(mod,tg,th,&tr); + if ( !tr ) + continue; + else + modres = CONT((MQ)tr); + mptoum(tg,wg); mptoum(th,wh); + eucum(mod,wg,wh,ws,wt); /* wg * ws + wh * wt = 1 */ + DEG(wm) = 0; COEF(wm)[0] = modres; + mulum(mod,ws,wm,wt); + for ( i = DEG(wt); i >= 0; i-- ) + if ( ( COEF(wt)[i] * 2 ) > mod ) + COEF(wt)[i] -= mod; + chnrem(mod,v,c,q,wt,&c1,&q1); + if ( !ucmpp(c,c1) ) { + mulp(CO,c,p,&z); divsrp(CO,z,p0,&zz,&zzz); + if ( NUM(zzz) ) { + q = (Q)zzz; break; + } + } + q = q1; c = c1; + if ( cmpq(f,q) < 0 ) { + mulp(CO,c,p,&z); divsrp(CO,z,p0,&zz,&zzz); + q = (Q)zzz; + break; + } + } + /* c*p = q mod p0 */ + /* c = s*c0 */ + ptozp(c,1,&s,&c0); + /* c/q = c0/(q/s) */ + divq(q,s,&dn); + *pr = (NODE)mknode(2,c0,dn); }