version 1.1.1.1, 1999/12/03 07:39:07 |
version 1.7, 2013/06/13 18:40:31 |
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/* $OpenXM: OpenXM/src/asir99/engine/A.c,v 1.1.1.1 1999/11/10 08:12:26 noro Exp $ */ |
/* |
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* Copyright (c) 1994-2000 FUJITSU LABORATORIES LIMITED |
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* All rights reserved. |
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* |
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* FUJITSU LABORATORIES LIMITED ("FLL") hereby grants you a limited, |
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* non-exclusive and royalty-free license to use, copy, modify and |
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* redistribute, solely for non-commercial and non-profit purposes, the |
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* computer program, "Risa/Asir" ("SOFTWARE"), subject to the terms and |
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* conditions of this Agreement. For the avoidance of doubt, you acquire |
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* only a limited right to use the SOFTWARE hereunder, and FLL or any |
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* third party developer retains all rights, including but not limited to |
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* copyrights, in and to the SOFTWARE. |
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* |
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* (1) FLL does not grant you a license in any way for commercial |
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* purposes. You may use the SOFTWARE only for non-commercial and |
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* non-profit purposes only, such as academic, research and internal |
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* business use. |
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* (2) The SOFTWARE is protected by the Copyright Law of Japan and |
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* international copyright treaties. If you make copies of the SOFTWARE, |
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* with or without modification, as permitted hereunder, you shall affix |
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* to all such copies of the SOFTWARE the above copyright notice. |
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* (3) An explicit reference to this SOFTWARE and its copyright owner |
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* shall be made on your publication or presentation in any form of the |
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* results obtained by use of the SOFTWARE. |
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* (4) In the event that you modify the SOFTWARE, you shall notify FLL by |
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* e-mail at risa-admin@sec.flab.fujitsu.co.jp of the detailed specification |
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* for such modification or the source code of the modified part of the |
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* SOFTWARE. |
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* |
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* THE SOFTWARE IS PROVIDED AS IS WITHOUT ANY WARRANTY OF ANY KIND. FLL |
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* MAKES ABSOLUTELY NO WARRANTIES, EXPRESSED, IMPLIED OR STATUTORY, AND |
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* EXPRESSLY DISCLAIMS ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS |
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* FOR A PARTICULAR PURPOSE OR NONINFRINGEMENT OF THIRD PARTIES' |
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* RIGHTS. NO FLL DEALER, AGENT, EMPLOYEES IS AUTHORIZED TO MAKE ANY |
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* MODIFICATIONS, EXTENSIONS, OR ADDITIONS TO THIS WARRANTY. |
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* UNDER NO CIRCUMSTANCES AND UNDER NO LEGAL THEORY, TORT, CONTRACT, |
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* OR OTHERWISE, SHALL FLL BE LIABLE TO YOU OR ANY OTHER PERSON FOR ANY |
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* DIRECT, INDIRECT, SPECIAL, INCIDENTAL, PUNITIVE OR CONSEQUENTIAL |
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* DAMAGES OF ANY CHARACTER, INCLUDING, WITHOUT LIMITATION, DAMAGES |
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* ARISING OUT OF OR RELATING TO THE SOFTWARE OR THIS AGREEMENT, DAMAGES |
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* FOR LOSS OF GOODWILL, WORK STOPPAGE, OR LOSS OF DATA, OR FOR ANY |
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* DAMAGES, EVEN IF FLL SHALL HAVE BEEN INFORMED OF THE POSSIBILITY OF |
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* SUCH DAMAGES, OR FOR ANY CLAIM BY ANY OTHER PARTY. EVEN IF A PART |
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* OF THE SOFTWARE HAS BEEN DEVELOPED BY A THIRD PARTY, THE THIRD PARTY |
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* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
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* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
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* |
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* $OpenXM: OpenXM_contrib2/asir2000/engine/A.c,v 1.6 2005/07/11 00:24:02 noro Exp $ |
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*/ |
#include "ca.h" |
#include "ca.h" |
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#include "parse.h" |
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int get_lprime(); |
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void pdiva(vl,p0,p1,p2,pr) |
void pdiva(vl,p0,p1,p2,pr) |
VL vl; |
VL vl; |
P p1,p2,p0; |
P p1,p2,p0; |
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wt = W_UMALLOC(m+n); ws = W_UMALLOC(m+n); |
wt = W_UMALLOC(m+n); ws = W_UMALLOC(m+n); |
wm = W_UMALLOC(m+n); |
wm = W_UMALLOC(m+n); |
for ( q = ONE, t = 0, c = 0, index = 0; ; ) { |
for ( q = ONE, t = 0, c = 0, index = 0; ; ) { |
mod = lprime[index++]; |
mod = get_lprime(index++); |
if ( !mod ) |
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error("pinva : lprime[] exhausted."); |
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if ( !rem(NM((Q)LC(p)),mod) || !rem(NM((Q)LC(p0)),mod) ) |
if ( !rem(NM((Q)LC(p)),mod) || !rem(NM((Q)LC(p0)),mod) ) |
continue; |
continue; |
ptomp(mod,p,&tg); ptomp(mod,p0,&th); srchump(mod,tg,th,&tr); |
ptomp(mod,p,&tg); ptomp(mod,p0,&th); srchump(mod,tg,th,&tr); |
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break; |
break; |
} |
} |
ptozp(c,1,&s,pr); |
ptozp(c,1,&s,pr); |
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} |
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/* |
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* compute g s.t. h*p0+g*p = res(v,p0,p) |
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*/ |
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void inva_chrem(P p0, P p, NODE *pr) |
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{ |
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V v; |
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Q f,q,q1; |
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Q u,t,a,b,s,dn; |
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P c,c0,c1; |
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P tg,th,tr; |
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P z,zz,zzz; |
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UM wg,wh,ws,wt,wm; |
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int n,m,modres,mod,index,i; |
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v = VR(p); n=deg(v,p); m=deg(v,p0); |
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norm(p,&a); norm(p0,&b); |
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STOQ(m,u); pwrq(a,u,&t); STOQ(n,u); pwrq(b,u,&s); |
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mulq(t,s,&u); |
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factorial(n+m,&t); mulq(u,t,&s); addq(s,s,&f); |
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wg = W_UMALLOC(m+n); wh = W_UMALLOC(m+n); |
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wt = W_UMALLOC(m+n); ws = W_UMALLOC(m+n); |
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wm = W_UMALLOC(m+n); |
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for ( q = ONE, t = 0, c = 0, index = 0; ; ) { |
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mod = get_lprime(index++); |
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if ( !rem(NM((Q)LC(p)),mod) || !rem(NM((Q)LC(p0)),mod) ) |
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continue; |
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ptomp(mod,p,&tg); ptomp(mod,p0,&th); srchump(mod,tg,th,&tr); |
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if ( !tr ) |
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continue; |
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else |
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modres = CONT((MQ)tr); |
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mptoum(tg,wg); mptoum(th,wh); |
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eucum(mod,wg,wh,ws,wt); /* wg * ws + wh * wt = 1 */ |
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DEG(wm) = 0; COEF(wm)[0] = modres; |
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mulum(mod,ws,wm,wt); |
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for ( i = DEG(wt); i >= 0; i-- ) |
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if ( ( COEF(wt)[i] * 2 ) > mod ) |
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COEF(wt)[i] -= mod; |
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chnrem(mod,v,c,q,wt,&c1,&q1); |
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if ( !ucmpp(c,c1) ) { |
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mulp(CO,c,p,&z); divsrp(CO,z,p0,&zz,&zzz); |
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if ( NUM(zzz) ) { |
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q = (Q)zzz; break; |
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} |
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} |
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q = q1; c = c1; |
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if ( cmpq(f,q) < 0 ) { |
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mulp(CO,c,p,&z); divsrp(CO,z,p0,&zz,&zzz); |
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q = (Q)zzz; |
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break; |
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} |
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} |
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/* c*p = q mod p0 */ |
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/* c = s*c0 */ |
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ptozp(c,1,&s,&c0); |
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/* c/q = c0/(q/s) */ |
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divq(q,s,&dn); |
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*pr = (NODE)mknode(2,c0,dn); |
} |
} |