version 1.4, 2001/06/25 04:11:42 |
version 1.5, 2001/06/25 05:30:49 |
|
|
/* $OpenXM: OpenXM_contrib2/asir2000/engine/Mgfs.c,v 1.3 2001/06/25 01:35:21 noro Exp $ */ |
/* $OpenXM: OpenXM_contrib2/asir2000/engine/Mgfs.c,v 1.4 2001/06/25 04:11:42 noro Exp $ */ |
|
|
#include "ca.h" |
#include "ca.h" |
|
|
|
extern int up_kara_mag, current_gfs_q1; |
|
extern int *current_gfs_plus1; |
|
|
void mulssfum(UM,int,UM); |
void mulssfum(UM,int,UM); |
|
void kmulsfummain(UM,UM,UM); |
|
|
|
inline int _ADDSF(a,b) |
|
int a,b; |
|
{ |
|
if ( !a ) |
|
return b; |
|
else if ( !b ) |
|
return a; |
|
|
|
a = IFTOF(a); b = IFTOF(b); |
|
if ( a > b ) { |
|
/* tab[a]+tab[b] = tab[b](tab[a-b]+1) */ |
|
a = current_gfs_plus1[a-b]; |
|
if ( a < 0 ) |
|
return 0; |
|
else { |
|
a += b; |
|
if ( a >= current_gfs_q1 ) |
|
a -= current_gfs_q1; |
|
return FTOIF(a); |
|
} |
|
} else { |
|
/* tab[a]+tab[b] = tab[a](tab[b-a]+1) */ |
|
b = current_gfs_plus1[b-a]; |
|
if ( b < 0 ) |
|
return 0; |
|
else { |
|
b += a; |
|
if ( b >= current_gfs_q1 ) |
|
b -= current_gfs_q1; |
|
return FTOIF(b); |
|
} |
|
} |
|
} |
|
|
|
inline int _MULSF(a,b) |
|
int a,b; |
|
{ |
|
if ( !a || !b ) |
|
return 0; |
|
else { |
|
a = IFTOF(a) + IFTOF(b); |
|
if ( a >= current_gfs_q1 ) |
|
a -= current_gfs_q1; |
|
return FTOIF(a); |
|
} |
|
} |
|
|
void addsfum(p1,p2,pr) |
void addsfum(p1,p2,pr) |
UM p1,p2,pr; |
UM p1,p2,pr; |
{ |
{ |
|
|
c1 = COEF(p2); c2 = COEF(p1); dmax = DEG(p2); dmin = DEG(p1); |
c1 = COEF(p2); c2 = COEF(p1); dmax = DEG(p2); dmin = DEG(p1); |
} |
} |
for ( i = 0, cr = COEF(pr); i <= dmin; i++ ) |
for ( i = 0, cr = COEF(pr); i <= dmin; i++ ) |
cr[i] = _addsf(c1[i],c2[i]); |
cr[i] = _ADDSF(c1[i],c2[i]); |
for ( ; i <= dmax; i++ ) |
for ( ; i <= dmax; i++ ) |
cr[i] = c1[i]; |
cr[i] = c1[i]; |
if ( dmax == dmin ) |
if ( dmax == dmin ) |
|
|
for ( i = 0; i <= d2; i++, cr++ ) |
for ( i = 0; i <= d2; i++, cr++ ) |
if ( mul = *c2++ ) |
if ( mul = *c2++ ) |
for ( j = 0, pc1 = c1, pcr = cr; j <= d1; j++, pc1++, pcr++ ) |
for ( j = 0, pc1 = c1, pcr = cr; j <= d1; j++, pc1++, pcr++ ) |
*pcr = _addsf(_mulsf(*pc1,mul),*pcr); |
if ( *pc1 ) |
|
*pcr = _ADDSF(_MULSF(*pc1,mul),*pcr); |
DEG(pr) = d1 + d2; |
DEG(pr) = d1 + d2; |
} |
} |
|
|
|
|
|
|
for ( i = DEG(pr) = DEG(p), sp = COEF(p)+i, dp = COEF(pr)+i; |
for ( i = DEG(pr) = DEG(p), sp = COEF(p)+i, dp = COEF(pr)+i; |
i >= 0; i--, dp--, sp-- ) |
i >= 0; i--, dp--, sp-- ) |
*dp = _mulsf(*sp,n); |
*dp = _MULSF(*sp,n); |
} |
} |
|
|
|
void kmulsfum(n1,n2,nr) |
|
UM n1,n2,nr; |
|
{ |
|
UM n,t,s,m,carry; |
|
int d,d1,d2,len,i,l; |
|
unsigned int *r,*r0; |
|
|
|
if ( !n1 || !n2 ) { |
|
nr->d = -1; return; |
|
} |
|
d1 = DEG(n1)+1; d2 = DEG(n2)+1; |
|
if ( (d1 < up_kara_mag) || (d2 < up_kara_mag) ) { |
|
mulsfum(n1,n2,nr); return; |
|
} |
|
if ( d1 < d2 ) { |
|
n = n1; n1 = n2; n2 = n; |
|
d = d1; d1 = d2; d2 = d; |
|
} |
|
if ( d2 > (d1+1)/2 ) { |
|
kmulsfummain(n1,n2,nr); return; |
|
} |
|
d = (d1/d2)+((d1%d2)!=0); |
|
len = (d+1)*d2; |
|
r0 = (unsigned int *)ALLOCA(len*sizeof(int)); |
|
bzero((char *)r0,len*sizeof(int)); |
|
m = W_UMALLOC(d2+1); |
|
carry = W_UMALLOC(d2+1); |
|
t = W_UMALLOC(d1+d2+1); |
|
s = W_UMALLOC(d1+d2+1); |
|
for ( DEG(carry) = -1, i = 0, r = r0; i < d; i++, r += d2 ) { |
|
extractum(n1,i*d2,d2,m); |
|
if ( m ) { |
|
kmulsfum(m,n2,t); |
|
addsfum(t,carry,s); |
|
c_copyum(s,d2,r); |
|
extractum(s,d2,d2,carry); |
|
} else { |
|
c_copyum(carry,d2,r); |
|
carry = 0; |
|
} |
|
} |
|
c_copyum(carry,d2,r); |
|
for ( l = len - 1; !r0[l]; l-- ); |
|
l++; |
|
DEG(nr) = l-1; |
|
bcopy((char *)r0,(char *)COEF(nr),l*sizeof(int)); |
|
} |
|
|
|
void kmulsfummain(n1,n2,nr) |
|
UM n1,n2,nr; |
|
{ |
|
int d1,d2,h,len; |
|
UM n1lo,n1hi,n2lo,n2hi,hi,lo,mid1,mid2,mid,s1,s2,t1,t2; |
|
|
|
d1 = DEG(n1)+1; d2 = DEG(n2)+1; h = (d1+1)/2; |
|
n1lo = W_UMALLOC(d1+1); n1hi = W_UMALLOC(d1+1); |
|
n2lo = W_UMALLOC(d2+1); n2hi = W_UMALLOC(d2+1); |
|
lo = W_UMALLOC(d1+d2+1); hi = W_UMALLOC(d1+d2+1); |
|
mid1 = W_UMALLOC(d1+d2+1); mid2 = W_UMALLOC(d1+d2+1); |
|
mid = W_UMALLOC(d1+d2+1); |
|
s1 = W_UMALLOC(d1+d2+1); s2 = W_UMALLOC(d1+d2+1); |
|
extractum(n1,0,h,n1lo); extractum(n1,h,d1-h,n1hi); |
|
extractum(n2,0,h,n2lo); extractum(n2,h,d2-h,n2hi); |
|
kmulsfum(n1hi,n2hi,hi); kmulsfum(n1lo,n2lo,lo); |
|
len = DEG(hi)+1+2*h; t1 = W_UMALLOC(len-1); DEG(t1) = len-1; |
|
bzero((char *)COEF(t1),len*sizeof(int)); |
|
if ( lo ) |
|
bcopy((char *)COEF(lo),(char *)COEF(t1),(DEG(lo)+1)*sizeof(int)); |
|
if ( hi ) |
|
bcopy((char *)COEF(hi),(char *)(COEF(t1)+2*h),(DEG(hi)+1)*sizeof(int)); |
|
|
|
addsfum(hi,lo,mid1); |
|
subsfum(n1hi,n1lo,s1); subsfum(n2lo,n2hi,s2); |
|
kmulsfum(s1,s2,mid2); addsfum(mid1,mid2,mid); |
|
if ( mid ) { |
|
len = DEG(mid)+1+h; t2 = W_UMALLOC(len-1); DEG(t2) = len-1; |
|
bzero((char *)COEF(t2),len*sizeof(int)); |
|
bcopy((char *)COEF(mid),(char *)(COEF(t2)+h),(DEG(mid)+1)*sizeof(int)); |
|
addsfum(t1,t2,nr); |
|
} else |
|
copyum(t1,nr); |
|
} |
|
|
int divsfum(p1,p2,pq) |
int divsfum(p1,p2,pq) |
UM p1,p2,pq; |
UM p1,p2,pq; |
{ |
{ |
|
|
if ( ( hd = c2[d2] ) != _onesf() ) { |
if ( ( hd = c2[d2] ) != _onesf() ) { |
inv = _invsf(hd); |
inv = _invsf(hd); |
for ( pc1 = c2 + d2; pc1 >= c2; pc1-- ) |
for ( pc1 = c2 + d2; pc1 >= c2; pc1-- ) |
*pc1 = _mulsf(*pc1,inv); |
*pc1 = _MULSF(*pc1,inv); |
} else |
} else |
inv = _onesf(); |
inv = _onesf(); |
for ( i = dd, ct = c1+d1; i >= 0; i-- ) |
for ( i = dd, ct = c1+d1; i >= 0; i-- ) |
if ( tmp = *ct-- ) { |
if ( tmp = *ct-- ) { |
tmp = _chsgnsf(tmp); |
tmp = _chsgnsf(tmp); |
for ( j = d2-1, pct = ct, pc1 = c2+j; j >= 0; j--, pct--, pc1-- ) |
for ( j = d2-1, pct = ct, pc1 = c2+j; j >= 0; j--, pct--, pc1-- ) |
*pct = _addsf(_mulsf(*pc1,tmp),*pct); |
*pct = _ADDSF(_MULSF(*pc1,tmp),*pct); |
} |
} |
if ( inv != _onesf() ) { |
if ( inv != _onesf() ) { |
for ( pc1 = c1+d2, pct = c1+d1; pc1 <= pct; pc1++ ) |
for ( pc1 = c1+d2, pct = c1+d1; pc1 <= pct; pc1++ ) |
*pc1 = _mulsf(*pc1,inv); |
*pc1 = _MULSF(*pc1,inv); |
for ( pc1 = c2, pct = c2+d2; pc1 <= pct; pc1++ ) |
for ( pc1 = c2, pct = c2+d2; pc1 <= pct; pc1++ ) |
*pc1 = _mulsf(*pc1,hd); |
*pc1 = _MULSF(*pc1,hd); |
} |
} |
for ( i = d2-1, pc1 = c1+i; i >= 0 && !(*pc1); pc1--, i-- ); |
for ( i = d2-1, pc1 = c1+i; i >= 0 && !(*pc1); pc1--, i-- ); |
for ( DEG(pq) = j = dd, pc1 = c1+d1, pct = COEF(pq)+j; j >= 0; j-- ) |
for ( DEG(pq) = j = dd, pc1 = c1+d1, pct = COEF(pq)+j; j >= 0; j-- ) |
|
|
|
|
for ( i = DEG(f), dp = COEF(fd)+i-1, sp = COEF(f)+i; |
for ( i = DEG(f), dp = COEF(fd)+i-1, sp = COEF(f)+i; |
i >= 1; i--, dp--, sp-- ) { |
i >= 1; i--, dp--, sp-- ) { |
*dp = _mulsf(*sp,_itosf(i)); |
*dp = _MULSF(*sp,_itosf(i)); |
} |
} |
degum(fd,DEG(f) - 1); |
degum(fd,DEG(f) - 1); |
} |
} |
|
|
i = DEG(f); sp = COEF(f)+i; |
i = DEG(f); sp = COEF(f)+i; |
inv = _invsf(*sp); |
inv = _invsf(*sp); |
for ( ; i >= 0; i--, sp-- ) |
for ( ; i >= 0; i--, sp-- ) |
*sp = _mulsf(*sp,inv); |
*sp = _MULSF(*sp,inv); |
} |
} |
|
|
void addsfarray(int,int *,int *); |
void addsfarray(int,int *,int *); |
|
|
|
|
for ( i = 0; i < n; i++, a1++, a2++ ) |
for ( i = 0; i < n; i++, a1++, a2++ ) |
if ( *a1 ) |
if ( *a1 ) |
*a2 = _addsf(*a1,*a2); |
*a2 = _ADDSF(*a1,*a2); |
} |
} |
|
|
void mulsfarray_trunc(n,a1,a2,r) |
void mulsfarray_trunc(n,a1,a2,r) |
|
|
if ( mul = *c2++ ) |
if ( mul = *c2++ ) |
for ( j = 0, pc1 = c1, pcr = cr; j+i < n; j++, pc1++, pcr++ ) |
for ( j = 0, pc1 = c1, pcr = cr; j+i < n; j++, pc1++, pcr++ ) |
if ( *pc1 ) |
if ( *pc1 ) |
*pcr = _addsf(_mulsf(*pc1,mul),*pcr); |
*pcr = _ADDSF(_MULSF(*pc1,mul),*pcr); |
} |
} |
} |
} |
|
|
|
|
cf = COEF(f); |
cf = COEF(f); |
for ( i = 0; i <= dg; i++ ) |
for ( i = 0; i <= dg; i++ ) |
for ( j = 0; j <= bound; j++ ) |
for ( j = 0; j <= bound; j++ ) |
cf[i][j] = _addsf(cf[i][j],cg[i][j]); |
cf[i][j] = _ADDSF(cf[i][j],cg[i][j]); |
} |
} |