version 1.26, 2002/10/25 02:43:40 |
version 1.27, 2002/11/01 05:43:35 |
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/* $OpenXM: OpenXM_contrib2/asir2000/engine/Hgfs.c,v 1.25 2002/10/23 07:54:58 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/Hgfs.c,v 1.26 2002/10/25 02:43:40 noro Exp $ */ |
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#include "ca.h" |
#include "ca.h" |
#include "inline.h" |
#include "inline.h" |
Line 819 void sfhenmain2(BM f,UM g0,UM h0,int dy,BM *gp) |
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Line 819 void sfhenmain2(BM f,UM g0,UM h0,int dy,BM *gp) |
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DEG(f) = dy; |
DEG(f) = dy; |
for ( i = 0; i <= dy; i++ ) |
for ( i = 0; i <= dy; i++ ) |
cpyum(COEF(hk)[i],COEF(f)[i]); |
cpyum(COEF(hk)[i],COEF(f)[i]); |
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} |
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/* a0*g+b0*h = 1 mod y -> a*g+b*h = 1 mod y^(dy+1) */ |
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void sfexgcd_by_hensel(BM g,BM h,int dy,BM *ap,BM *bp) |
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{ |
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int i,k; |
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int dx; |
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UM wt,wa,wb,q,w1,w2,ws; |
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UM wc,wd,we,wz,wa1,wb1; |
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BM wz0,wz1; |
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int dg,dh; |
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BM a,b,c; |
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dg = degbm(g); |
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dh = degbm(h); |
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dx = dg+dh; |
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a = BMALLOC(dh,dy); |
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b = BMALLOC(dg,dy); |
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/* c holds a*g+b*h-1 */ |
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c = BMALLOC(dg+dh,dy); |
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W_BMALLOC(dx,dy,wz0); W_BMALLOC(dx,dy,wz1); |
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wt = W_UMALLOC(dx); ws = W_UMALLOC(dx); q = W_UMALLOC(2*dx); |
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wa1 = W_UMALLOC(2*dx); wb1 = W_UMALLOC(2*dx); |
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wc = W_UMALLOC(2*dx); wd = W_UMALLOC(2*dx); |
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we = W_UMALLOC(2*dx); wz = W_UMALLOC(2*dx); |
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/* compute wa,wb s.t. wa*g0+wb*h0 = 1 mod y */ |
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w1 = W_UMALLOC(dg); cpyum(COEF(g)[0],w1); |
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w2 = W_UMALLOC(dh); cpyum(COEF(h)[0],w2); |
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wa = W_UMALLOC(2*dx); wb = W_UMALLOC(2*dx); /* XXX */ |
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eucsfum(w1,w2,wa,wb); |
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cpyum(wa,COEF(a)[0]); cpyum(wb,COEF(b)[0]); |
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/* initialize c to a*g+b*h-1 */ |
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mulsfbm(a,g,c); mulsfbm(b,h,wz0); addtosfbm(wz0,c); |
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COEF(COEF(c)[0])[0] = 0; |
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fprintf(stderr,"dy=%d\n",dy); |
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for ( k = 1; k <= dy; k++ ) { |
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fprintf(stderr,"."); |
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/* at this point, a*g+b*h = 1 mod y^k, c = a*g+b*h-1 */ |
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/* wt = -((a*g+b*h-1)/y^k) */ |
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cpyum(COEF(c)[k],wt); |
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for ( i = DEG(wt); i >= 0; i-- ) |
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COEF(wt)[i] = _chsgnsf(COEF(wt)[i]); |
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/* compute wa1,wb1 s.t. wa1*g0+wb1*h0 = wt */ |
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mulsfum(wa,wt,wa1); DEG(wa1) = divsfum(wa1,COEF(h)[0],q); |
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mulsfum(wa1,COEF(g)[0],wc); subsfum(wt,wc,wd); |
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DEG(wd) = divsfum(wd,COEF(h)[0],wb1); |
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/* c += ((wa1*g+wb1*h)*y^k mod y^(dy+1) */ |
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/* wz0 = wa1*y^k */ |
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clearbm(dx,wz0); |
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cpyum(wa1,COEF(wz0)[k]); |
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/* wz1 = wz0*g mod y^(dy+1) */ |
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clearbm(dx,wz1); |
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mulsfbm(g,wz0,wz1); |
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/* c += wz1 */ |
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addtosfbm(wz1,c); |
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/* wz0 = wb1*y^k */ |
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clearbm(dx,wz0); |
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cpyum(wb1,COEF(wz0)[k]); |
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/* wz1 = wz0*h mod y^(dy+1) */ |
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clearbm(dx,wz1); |
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mulsfbm(h,wz0,wz1); |
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/* c += wz1 */ |
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addtosfbm(wz1,c); |
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/* a += wa1*y^k, b += wb1*y^k */ |
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cpyum(wa1,COEF(a)[k]); |
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cpyum(wb1,COEF(b)[k]); |
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} |
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fprintf(stderr,"\n"); |
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DEG(a) = dy; |
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DEG(b) = dy; |
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*ap = a; |
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*bp = b; |
} |
} |
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/* fl->c[i] = coef_y(f,i) */ |
/* fl->c[i] = coef_y(f,i) */ |