version 1.5, 2001/06/25 05:30:49 |
version 1.8, 2001/07/03 01:41:26 |
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/* $OpenXM: OpenXM_contrib2/asir2000/engine/Mgfs.c,v 1.4 2001/06/25 04:11:42 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/Mgfs.c,v 1.7 2001/06/27 04:07:57 noro Exp $ */ |
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#include "ca.h" |
#include "ca.h" |
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void addsfarray(int,int *,int *); |
void addsfarray(int,int *,int *); |
void mulsfarray_trunc(int,int *,int *,int *); |
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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/* f1 = f1->c[0]+f1->c[1]*y+..., f2 = f2->c[0]+f2->c[1]*y+... mod y^n */ |
/* 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) |
void mulsfbm(f1,f2,fr) |
int bound; |
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BM f1,f2,fr; |
BM f1,f2,fr; |
{ |
{ |
UM mul,t,s; |
UM mul,t,s; |
int i,j,h,d1,d2; |
int i,j,h,d1,d2,dy; |
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if ( DEG(f1) < bound || DEG(f2) < bound ) |
dy = MIN(DEG(f1),DEG(f2)); |
error("mulsfbm : invalid input"); |
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d1 = DEG(COEF(f1)[0]); |
d1 = degbm(f1); |
for ( i = 1; i < bound; i++ ) |
d2 = degbm(f2); |
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); |
t = W_UMALLOC(d1+d2); |
s = W_UMALLOC(d1+d2); |
s = W_UMALLOC(d1+d2); |
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for ( i = 0; i < bound; i++ ) { |
for ( i = 0; i <= dy; i++ ) { |
mul = COEF(f2)[i]; |
mul = COEF(f2)[i]; |
if ( DEG(mul) >= 0 ) |
if ( DEG(mul) >= 0 ) |
for ( j = 0; i+j < bound; j++ ) { |
for ( j = 0; i+j <= dy; j++ ) { |
if ( COEF(f1)[j] ) { |
if ( COEF(f1)[j] ) { |
mulsfum(COEF(f1)[j],mul,t); |
kmulsfum(COEF(f1)[j],mul,t); |
addsfum(t,COEF(fr)[i+j],s); |
addsfum(t,COEF(fr)[i+j],s); |
cpyum(s,COEF(fr)[i+j]); |
cpyum(s,COEF(fr)[i+j]); |
} |
} |
} |
} |
} |
} |
DEG(fr) = bound; |
DEG(fr) = dy; |
} |
} |
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int degbm(f) |
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BM f; |
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{ |
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int d,i,dy; |
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dy = DEG(f); |
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d = DEG(COEF(f)[0]); |
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for ( i = 1; i <= dy; i++ ) |
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d = MAX(DEG(COEF(f)[i]),d); |
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return d; |
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} |
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/* g += f */ |
/* g += f */ |
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void addtosfbm(bound,f,g) |
void addtosfbm(f,g) |
int bound; |
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BM f,g; |
BM f,g; |
{ |
{ |
int i,d1,d2; |
int i,d1,d2,dy; |
UM t; |
UM t; |
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d1 = DEG(COEF(f)[0]); |
dy = DEG(g); |
for ( i = 1; i < bound; i++ ) |
if ( DEG(f) > dy ) |
d1 = MAX(DEG(COEF(f)[i]),d1); |
error("addtosfbm : invalid input"); |
d2 = DEG(COEF(g)[0]); |
dy = MIN(DEG(f),dy); |
for ( i = 1; i < bound; i++ ) |
d1 = degbm(f); |
d2 = MAX(DEG(COEF(g)[i]),d2); |
d2 = degbm(g); |
t = W_UMALLOC(MAX(d1,d2)); |
t = W_UMALLOC(MAX(d1,d2)); |
for ( i = 0; i < bound; i++ ) { |
for ( i = 0; i <= dy; i++ ) { |
addsfum(COEF(f)[i],COEF(g)[i],t); |
addsfum(COEF(f)[i],COEF(g)[i],t); |
cpyum(t,COEF(g)[i]); |
cpyum(t,COEF(g)[i]); |
} |
} |
} |
} |
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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) |
void eucsfum(f1,f2,a,b) |
UM f1,f2,a,b; |
UM f1,f2,a,b; |
{ |
{ |
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/* f(y) -> f(y+a) */ |
/* f(y) -> f(y+a) */ |
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void shiftsfbm(bound,f,a) |
void shiftsfbm(f,a) |
int bound; |
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BM f; |
BM f; |
int a; |
int a; |
{ |
{ |
int i,j,d; |
int i,j,d,dy; |
UM pwr,ya,w,t,s; |
UM pwr,ya,w,t,s; |
UM *c; |
UM *c; |
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if ( bound <= 0 ) |
dy = DEG(f); |
return; |
c = COEF(f); |
else { |
d = degbm(f); |
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); |
w = W_UMALLOC(d); |
t = W_UMALLOC(d); |
t = W_UMALLOC(d); |
s = W_UMALLOC(bound); |
s = W_UMALLOC(dy); |
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/* pwr = 1 */ |
/* pwr = 1 */ |
pwr = W_UMALLOC(bound); DEG(pwr) = 0; COEF(pwr)[0] = _onesf(); |
pwr = W_UMALLOC(dy); DEG(pwr) = 0; COEF(pwr)[0] = _onesf(); |
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/* ya = y+a */ |
/* ya = y+a */ |
ya = W_UMALLOC(1); DEG(ya) = 1; |
ya = W_UMALLOC(1); DEG(ya) = 1; |
COEF(ya)[0] = a; COEF(ya)[1] = _onesf(); |
COEF(ya)[0] = a; COEF(ya)[1] = _onesf(); |
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for ( i = 0; i < bound; i++ ) { |
for ( i = 0; i <= dy; i++ ) { |
/* c[i] does not change */ |
/* c[i] does not change */ |
for ( j = 0; j < i; j++ ) { |
for ( j = 0; j < i; j++ ) { |
mulssfum(c[i],COEF(pwr)[j],w); |
mulssfum(c[i],COEF(pwr)[j],w); |
addsfum(w,c[j],t); cpyum(t,c[j]); |
addsfum(w,c[j],t); cpyum(t,c[j]); |
} |
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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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if ( i < dy ) { |
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mulsfum(pwr,ya,s); cpyum(s,pwr); |
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} |
} |
} |
} |
} |
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/* clear the body of f */ |
void clearbm(n,f) |
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int n; |
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; |
BM f; |
{ |
{ |
int i; |
int i,dy; |
UM *c; |
UM *c; |
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DEG(f) = bound; |
dy = DEG(f); |
for ( c = COEF(f), i = 0; i < bound; i++ ) |
for ( c = COEF(f), i = 0; i <= dy; i++ ) |
clearum(c[i],n); |
clearum(c[i],n); |
} |
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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]); |
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} |
} |