version 1.1, 2001/06/20 09:32:13 |
version 1.3, 2001/06/25 01:35:21 |
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/* $OpenXM$ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/Mgfs.c,v 1.2 2001/06/22 08:51:12 noro Exp $ */ |
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#include "ca.h" |
#include "ca.h" |
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inv = _invsf(*sp); |
inv = _invsf(*sp); |
for ( ; i >= 0; i--, sp-- ) |
for ( ; i >= 0; i--, sp-- ) |
*sp = _mulsf(*sp,inv); |
*sp = _mulsf(*sp,inv); |
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} |
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void addsfarray(int,int *,int *); |
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void mulsfarray_trunc(int,int *,int *,int *); |
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void mulsflum(n,f1,f2,fr) |
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int n; |
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LUM f1,f2,fr; |
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{ |
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int max; |
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int i,j,**p1,**p2,*px; |
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int *w,*w1,*w2; |
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p1 = (int **)COEF(f1); p2 = (int **)COEF(f2); |
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w = W_ALLOC(2*(n+1)); w1 = W_ALLOC(DEG(f1)); w2 = W_ALLOC(DEG(f2)); |
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for ( i = DEG(f1); i >= 0; i-- ) { |
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for ( j = n - 1, px = p1[i]; ( j >= 0 ) && ( px[j] == 0 ); j-- ); |
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w1[i] = ( j == -1 ? 0 : 1 ); |
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} |
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for ( i = DEG(f2); i >= 0; i-- ) { |
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for ( j = n - 1, px = p2[i]; ( j >= 0 ) && ( px[j] == 0 ); j-- ); |
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w2[i] = ( j == -1 ? 0 : 1 ); |
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} |
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for ( j = DEG(fr) = DEG(f1) + DEG(f2); j >= 0; j-- ) { |
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for ( i = n - 1, px = COEF(fr)[j]; i >= 0; i-- ) |
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px[i] = 0; |
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for ( max = MIN(DEG(f1),j), i = MAX(0,j-DEG(f2)); i <= max; i++ ) |
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if ( w1[i] != 0 && w2[j - i] != 0 ) { |
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mulsfarray_trunc(n,p1[i],p2[j - i],w); addsfarray(n,w,px); |
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} |
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} |
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} |
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void addsfarray(n,a1,a2) |
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int n; |
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int *a1,*a2; |
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{ |
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int i; |
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for ( i = 0; i < n; i++, a1++, a2++ ) |
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if ( *a1 ) |
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*a2 = _addsf(*a1,*a2); |
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} |
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void mulsfarray_trunc(n,a1,a2,r) |
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int n; |
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int *a1,*a2,*r; |
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{ |
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int mul,i,j; |
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int *c1,*c2,*cr; |
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int *pc1,*pc2,*pcr; |
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bzero(r,n*sizeof(int)); |
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c1 = a1; c2 = a2; cr = r; |
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for ( i = 0; i < n; i++, cr++ ) { |
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if ( mul = *c2++ ) |
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for ( j = 0, pc1 = c1, pcr = cr; j+i < n; j++, pc1++, pcr++ ) |
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if ( *pc1 ) |
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*pcr = _addsf(_mulsf(*pc1,mul),*pcr); |
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} |
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} |
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void eucsfum(f1,f2,a,b) |
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UM f1,f2,a,b; |
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{ |
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UM g1,g2,a1,a2,a3,wm,q,tum; |
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int d,dr; |
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/* XXX */ |
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d = DEG(f1) + DEG(f2) + 10; |
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g1 = W_UMALLOC(d); g2 = W_UMALLOC(d); a1 = W_UMALLOC(d); |
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a2 = W_UMALLOC(d); a3 = W_UMALLOC(d); wm = W_UMALLOC(d); |
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q = W_UMALLOC(d); |
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DEG(a1) = 0; COEF(a1)[0] = _onesf(); DEG(a2) = -1; |
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cpyum(f1,g1); cpyum(f2,g2); |
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while ( 1 ) { |
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dr = divsfum(g1,g2,q); tum = g1; g1 = g2; g2 = tum; |
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if ( ( DEG(g2) = dr ) == -1 ) |
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break; |
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mulsfum(a2,q,wm); subsfum(a1,wm,a3); dr = divsfum(a3,f2,q); |
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tum = a1; a1 = a2; a2 = a3; a3 = tum; DEG(a3) = dr; |
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} |
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if ( COEF(g1)[0] != _onesf() ) |
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mulssfum(a2,_invsf(COEF(g1)[0]),a); |
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else |
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cpyum(a2,a); |
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mulsfum(a,f1,wm); |
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if ( DEG(wm) >= 0 ) |
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COEF(wm)[0] = _subsf(COEF(wm)[0],_onesf()); |
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else { |
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DEG(wm) = 0; COEF(wm)[0] = _chsgnsf(_onesf()); |
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} |
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divsfum(wm,f2,q); mulssfum(q,_chsgnsf(_onesf()),b); |
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} |
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void shiftsfum(UM,int,UM); |
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void shiftsflum(n,f,ev) |
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int n; |
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LUM f; |
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int ev; |
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{ |
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int d,i,j; |
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UM w,w1; |
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int *coef; |
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int **c; |
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d = f->d; |
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c = f->c; |
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w = W_UMALLOC(n); |
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w1 = W_UMALLOC(n); |
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for ( i = 0; i <= d; i++ ) { |
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coef = c[i]; |
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for ( j = n-1; j >= 0 && coef[j] == 0; j-- ); |
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if ( j <= 0 ) |
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continue; |
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DEG(w) = j; bcopy(coef,COEF(w),(j+1)*sizeof(int)); |
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shiftsfum(w,ev,w1); |
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bcopy(COEF(w1),coef,(j+1)*sizeof(int)); |
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} |
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} |
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/* f(x) -> g(x) = f(x+a) */ |
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void shiftsfum(f,a,g) |
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UM f; |
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int a; |
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UM g; |
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{ |
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int n,i; |
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UM pwr,xa,w,t; |
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int *c; |
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n = DEG(f); |
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if ( n <= 0 ) |
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cpyum(f,g); |
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else { |
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c = COEF(f); |
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/* g = 0 */ |
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DEG(g) = -1; |
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/* pwr = 1 */ |
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pwr = W_UMALLOC(n); DEG(pwr) = 0; COEF(pwr)[0] = _onesf(); |
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/* xa = x+a */ |
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xa = W_UMALLOC(n); DEG(xa) = 1; |
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COEF(xa)[0] = a; COEF(xa)[1] = _onesf(); |
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w = W_UMALLOC(n); |
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t = W_UMALLOC(n); |
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/* g += pwr*c[0] */ |
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for ( i = 0; i <= n; i++ ) { |
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mulssfum(pwr,c[i],w); addsfum(g,w,t); cpyum(t,g); |
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if ( i < n ) { |
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mulsfum(pwr,xa,t); cpyum(t,pwr); |
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} |
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} |
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} |
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} |
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/* clear the body of f */ |
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void clearsflum(bound,n,f) |
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int bound,n; |
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LUM f; |
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{ |
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int **c; |
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int i; |
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DEG(f) = 0; |
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for ( c = COEF(f), i = 0; i <= n; i++ ) |
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bzero(c[i],(bound+1)*sizeof(int)); |
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} |
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/* f += g */ |
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void addtosflum(bound,g,f) |
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int bound; |
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LUM g,f; |
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{ |
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int dg,i,j; |
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int **cg,**cf; |
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dg = DEG(g); |
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cg = COEF(g); |
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cf = COEF(f); |
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for ( i = 0; i <= dg; i++ ) |
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for ( j = 0; j <= bound; j++ ) |
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cf[i][j] = _addsf(cf[i][j],cg[i][j]); |
} |
} |