version 1.4, 2001/06/07 04:54:39 |
version 1.6, 2005/07/11 00:24:02 |
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* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* |
* |
* $OpenXM: OpenXM_contrib2/asir2000/engine/A.c,v 1.3 2000/08/22 05:04:03 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/engine/A.c,v 1.5 2001/10/09 01:36:09 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.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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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); |
} |
} |