version 1.2, 2001/06/22 08:51:12 |
version 1.4, 2001/06/25 04:11:42 |
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/* $OpenXM: OpenXM_contrib2/asir2000/engine/Mgfs.c,v 1.1 2001/06/20 09:32:13 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/Mgfs.c,v 1.3 2001/06/25 01:35:21 noro Exp $ */ |
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#include "ca.h" |
#include "ca.h" |
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*sp = _mulsf(*sp,inv); |
*sp = _mulsf(*sp,inv); |
} |
} |
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void addsf_trunc(int,int *,int *); |
void addsfarray(int,int *,int *); |
void mulsf_trunc(int,int *,int *,int *); |
void mulsfarray_trunc(int,int *,int *,int *); |
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void mulsflum(n,f1,f2,fr) |
void mulsflum(n,f1,f2,fr) |
int n; |
int n; |
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px[i] = 0; |
px[i] = 0; |
for ( max = MIN(DEG(f1),j), i = MAX(0,j-DEG(f2)); i <= max; i++ ) |
for ( max = MIN(DEG(f1),j), i = MAX(0,j-DEG(f2)); i <= max; i++ ) |
if ( w1[i] != 0 && w2[j - i] != 0 ) { |
if ( w1[i] != 0 && w2[j - i] != 0 ) { |
mulsf_trunc(n,p1[i],p2[j - i],w); addsf_trunc(n,w,px); |
mulsfarray_trunc(n,p1[i],p2[j - i],w); addsfarray(n,w,px); |
} |
} |
} |
} |
} |
} |
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void addsf_trunc(n,a1,a2) |
/* f1 = f1->c[0]+f1->c[1]*y+..., f2 = f2->c[0]+f2->c[1]*y+... mod y^n */ |
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void mulsfbm(bound,f1,f2,fr) |
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int bound; |
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BM f1,f2,fr; |
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{ |
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UM mul,t,s; |
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int i,j,h,d1,d2; |
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if ( DEG(f1) < bound || DEG(f2) < bound ) |
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error("mulsfbm : invalid input"); |
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d1 = DEG(COEF(f1)[0]); |
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for ( i = 1; i < bound; i++ ) |
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d1 = MAX(DEG(COEF(f1)[i]),d1); |
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d2 = DEG(COEF(f2)[0]); |
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for ( i = 1; i < bound; i++ ) |
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d2 = MAX(DEG(COEF(f2)[i]),d2); |
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t = W_UMALLOC(d1+d2); |
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s = W_UMALLOC(d1+d2); |
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for ( i = 0; i < bound; i++ ) { |
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mul = COEF(f2)[i]; |
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if ( DEG(mul) >= 0 ) |
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for ( j = 0; i+j < bound; j++ ) { |
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if ( COEF(f1)[j] ) { |
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mulsfum(COEF(f1)[j],mul,t); |
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addsfum(t,COEF(fr)[i+j],s); |
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cpyum(s,COEF(fr)[i+j]); |
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} |
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} |
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} |
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DEG(fr) = bound; |
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} |
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/* g += f */ |
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void addtosfbm(bound,f,g) |
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int bound; |
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BM f,g; |
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{ |
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int i,d1,d2; |
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UM t; |
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d1 = DEG(COEF(f)[0]); |
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for ( i = 1; i < bound; i++ ) |
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d1 = MAX(DEG(COEF(f)[i]),d1); |
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d2 = DEG(COEF(g)[0]); |
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for ( i = 1; i < bound; i++ ) |
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d2 = MAX(DEG(COEF(g)[i]),d2); |
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t = W_UMALLOC(MAX(d1,d2)); |
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for ( i = 0; i < bound; i++ ) { |
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addsfum(COEF(f)[i],COEF(g)[i],t); |
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cpyum(t,COEF(g)[i]); |
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} |
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} |
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void addsfarray(n,a1,a2) |
int n; |
int n; |
int *a1,*a2; |
int *a1,*a2; |
{ |
{ |
/* XXX */ |
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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void mulsf_trunc(n,a1,a2,r) |
void mulsfarray_trunc(n,a1,a2,r) |
int n; |
int n; |
int *a1,*a2,*r; |
int *a1,*a2,*r; |
{ |
{ |
/* XXX */ |
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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void eucsfum(f1,f2,a,b) |
void eucsfum(f1,f2,a,b) |
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g1 = W_UMALLOC(d); g2 = W_UMALLOC(d); a1 = W_UMALLOC(d); |
g1 = W_UMALLOC(d); g2 = W_UMALLOC(d); a1 = W_UMALLOC(d); |
a2 = W_UMALLOC(d); a3 = W_UMALLOC(d); wm = W_UMALLOC(d); |
a2 = W_UMALLOC(d); a3 = W_UMALLOC(d); wm = W_UMALLOC(d); |
q = W_UMALLOC(d); |
q = W_UMALLOC(d); |
DEG(a1) = 0; COEF(a1)[0] = 1; DEG(a2) = -1; |
DEG(a1) = 0; COEF(a1)[0] = _onesf(); DEG(a2) = -1; |
cpyum(f1,g1); cpyum(f2,g2); |
cpyum(f1,g1); cpyum(f2,g2); |
while ( 1 ) { |
while ( 1 ) { |
dr = divsfum(g1,g2,q); tum = g1; g1 = g2; g2 = tum; |
dr = divsfum(g1,g2,q); tum = g1; g1 = g2; g2 = tum; |
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mulsfum(a2,q,wm); subsfum(a1,wm,a3); dr = divsfum(a3,f2,q); |
mulsfum(a2,q,wm); subsfum(a1,wm,a3); dr = divsfum(a3,f2,q); |
tum = a1; a1 = a2; a2 = a3; a3 = tum; DEG(a3) = dr; |
tum = a1; a1 = a2; a2 = a3; a3 = tum; DEG(a3) = dr; |
} |
} |
if ( COEF(g1)[0] != 1 ) |
if ( COEF(g1)[0] != _onesf() ) |
mulssfum(a2,_invsf(COEF(g1)[0]),a); |
mulssfum(a2,_invsf(COEF(g1)[0]),a); |
else |
else |
cpyum(a2,a); |
cpyum(a2,a); |
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DEG(wm) = 0; COEF(wm)[0] = _chsgnsf(_onesf()); |
DEG(wm) = 0; COEF(wm)[0] = _chsgnsf(_onesf()); |
} |
} |
divsfum(wm,f2,q); mulssfum(q,_chsgnsf(_onesf()),b); |
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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/* f(y) -> f(y+a) */ |
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void shiftsfbm(bound,f,a) |
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int bound; |
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BM f; |
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int a; |
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{ |
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int i,j,d; |
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UM pwr,ya,w,t,s; |
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UM *c; |
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if ( bound <= 0 ) |
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return; |
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else { |
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c = COEF(f); |
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d = DEG(c[0]); |
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for ( i = 1; i < bound; i++ ) |
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d = MAX(DEG(c[i]),d); |
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w = W_UMALLOC(d); |
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t = W_UMALLOC(d); |
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s = W_UMALLOC(bound); |
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/* pwr = 1 */ |
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pwr = W_UMALLOC(bound); DEG(pwr) = 0; COEF(pwr)[0] = _onesf(); |
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/* ya = y+a */ |
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ya = W_UMALLOC(1); DEG(ya) = 1; |
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COEF(ya)[0] = a; COEF(ya)[1] = _onesf(); |
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for ( i = 0; i < bound; i++ ) { |
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/* c[i] does not change */ |
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for ( j = 0; j < i; j++ ) { |
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mulssfum(c[i],COEF(pwr)[j],w); |
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addsfum(w,c[j],t); cpyum(t,c[j]); |
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} |
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if ( i < bound-1 ) { |
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mulsfum(pwr,ya,s); cpyum(s,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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void clearsfbm(bound,n,f) |
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int bound,n; |
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BM f; |
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{ |
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int i; |
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UM *c; |
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DEG(f) = bound; |
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for ( c = COEF(f), i = 0; i < bound; i++ ) |
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clearum(c[i],n); |
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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]); |
} |
} |