version 1.3, 2000/08/22 05:04:04 |
version 1.9, 2001/10/09 01:36:10 |
|
|
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* DEVELOPER SHALL HAVE NO LIABILITY IN CONNECTION WITH THE USE, |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* PERFORMANCE OR NON-PERFORMANCE OF THE SOFTWARE. |
* |
* |
* $OpenXM: OpenXM_contrib2/asir2000/engine/M.c,v 1.2 2000/08/21 08:31:25 noro Exp $ |
* $OpenXM: OpenXM_contrib2/asir2000/engine/M.c,v 1.8 2001/07/03 01:41:26 noro Exp $ |
*/ |
*/ |
#include "ca.h" |
#include "ca.h" |
#include "base.h" |
#include "base.h" |
|
|
void addum(mod,p1,p2,pr) |
void addum(int mod,UM p1,UM p2,UM pr) |
int mod; |
|
UM p1,p2,pr; |
|
{ |
{ |
register int *c1,*c2,*cr,i,dmax,dmin; |
register int *c1,*c2,*cr,i,dmax,dmin; |
|
|
|
|
DEG(pr) = dmax; |
DEG(pr) = dmax; |
} |
} |
|
|
void subum(mod,p1,p2,pr) |
void subum(int mod,UM p1,UM p2,UM pr) |
int mod; |
|
UM p1,p2,pr; |
|
{ |
{ |
register int *c1,*c2,*cr,i; |
register int *c1,*c2,*cr,i; |
int dmax,dmin; |
int dmax,dmin; |
|
|
DEG(pr) = dmax; |
DEG(pr) = dmax; |
} |
} |
|
|
void pwrum(mod,p,e,pr) |
void pwrum(int mod,UM p,int e,UM pr) |
int mod,e; |
|
UM p,pr; |
|
{ |
{ |
UM wt,ws; |
UM wt,ws; |
|
|
|
|
} |
} |
} |
} |
|
|
void gcdum(mod,p1,p2,pr) |
void gcdum(int mod,UM p1,UM p2,UM pr) |
register int mod; |
|
UM p1,p2,pr; |
|
{ |
{ |
register int inv; |
register int inv; |
UM t1,t2,q,tum; |
UM t1,t2,q,tum; |
|
|
} |
} |
} |
} |
|
|
void eucum(mod,f1,f2,a,b) |
void eucum(int mod,UM f1,UM f2,UM a,UM b) |
register int mod; |
|
UM f1,f2,a,b; |
|
{ |
{ |
UM g1,g2,a1,a2,a3,wm,q,tum; |
UM g1,g2,a1,a2,a3,wm,q,tum; |
int d,dr; |
int d,dr; |
|
|
DEG(wm) = 0; COEF(wm)[0] = mod - 1; |
DEG(wm) = 0; COEF(wm)[0] = mod - 1; |
} |
} |
divum(mod,wm,f2,q); mulsum(mod,q,mod-1,b); |
divum(mod,wm,f2,q); mulsum(mod,q,mod-1,b); |
|
#if 0 |
|
t1 = W_UMALLOC(d); |
|
t2 = W_UMALLOC(d); |
|
t3 = W_UMALLOC(d); |
|
mulum(mod,a,f1,t1); |
|
mulum(mod,b,f2,t2); |
|
addum(mod,t1,t2,t3); |
|
#endif |
} |
} |
|
|
void sqfrum(index,count,f,nindex,dcr,pl) |
void eucum2(int mod,UM f1,UM f2,UM a,UM b) |
int index,count,*nindex; |
|
P f; |
|
struct oDUM **dcr; |
|
ML *pl; |
|
{ |
{ |
|
UM gk,gk1,gk2,ak,ak1,ak2,bk,bk1,bk2,q,t,wm1,wm2,wz; |
|
int d,inv; |
|
UM t1,t2; |
|
|
|
d = 2*(DEG(f1) + DEG(f2)); |
|
gk = W_UMALLOC(d); gk1 = W_UMALLOC(d); gk2 = W_UMALLOC(d); |
|
ak = W_UMALLOC(d); ak1 = W_UMALLOC(d); ak2 = W_UMALLOC(d); |
|
bk = W_UMALLOC(d); bk1 = W_UMALLOC(d); bk2 = W_UMALLOC(d); |
|
q = W_UMALLOC(d); wm1 = W_UMALLOC(d); wm2 = W_UMALLOC(d); |
|
wz = W_UMALLOC(d); |
|
|
|
t1 = UMALLOC(1000); |
|
t2 = UMALLOC(1000); |
|
cpyum(f1,t1); |
|
cpyum(f2,t2); |
|
|
|
DEG(ak) = 0; COEF(ak)[0] = 1; |
|
DEG(ak1) = -1; |
|
DEG(bk) = -1; |
|
DEG(bk1) = 0; COEF(bk1)[0] = 1; |
|
|
|
cpyum(f1,gk); cpyum(f2,gk1); |
|
|
|
while ( 1 ) { |
|
/* ak*f1+bk*f2 = gk, ak1*f1+bk1*f2 = gk1 */ |
|
cpyum(gk,gk2); |
|
DEG(gk2) = divum(mod,gk2,gk1,q); |
|
/* gk2 = gk - q*gk1 */ |
|
if ( DEG(gk2) == -1 ) |
|
break; |
|
/* ak2 = ak - q*ak1, bk2 = bk - q*bk1 */ |
|
mulum(mod,ak1,q,wm1); subum(mod,ak,wm1,ak2); |
|
mulum(mod,bk1,q,wm1); subum(mod,bk,wm1,bk2); |
|
|
|
/* shift */ |
|
t = ak; ak = ak1; ak1 = ak2; ak2 = t; |
|
t = bk; bk = bk1; bk1 = bk2; bk2 = t; |
|
t = gk; gk = gk1; gk1 = gk2; gk2 = t; |
|
} |
|
/* ak1*f1+bk1*f2 = gk1 = GCD(f1,f2) */ |
|
mulum(mod,ak1,t1,wm1); |
|
mulum(mod,bk1,t2,wm2); |
|
addum(mod,wm1,wm2,wz); |
|
if ( DEG(wz) != 0 ) |
|
error("euc 1"); |
|
|
|
DEG(ak1) = divum(mod,ak1,f2,q); |
|
DEG(bk1) = divum(mod,bk1,f1,q); |
|
mulum(mod,ak1,f1,wm1); |
|
mulum(mod,bk1,f2,wm2); |
|
addum(mod,wm1,wm2,wz); |
|
if ( DEG(wz) != 0 ) |
|
error("euc 2"); |
|
|
|
|
|
if ( COEF(wz)[0] != 1 ) { |
|
inv = invm(COEF(wz)[0],mod); |
|
mulsum(mod,ak1,inv,a); |
|
mulsum(mod,bk1,inv,b); |
|
} else { |
|
cpyum(ak1,a); |
|
cpyum(bk1,b); |
|
} |
|
} |
|
|
|
void sqfrum(int index,int count,P f,int *nindex,struct oDUM **dcr,ML *pl) |
|
{ |
int i,j,m,n,d,dt,mod; |
int i,j,m,n,d,dt,mod; |
UM wf,wdf,ws,wt,wgcd,mf,mgcd; |
UM wf,wdf,ws,wt,wgcd,mf,mgcd; |
UM *l; |
UM *l; |
|
|
mgcd = W_UMALLOC(n); |
mgcd = W_UMALLOC(n); |
|
|
for ( j = 0, d = n; j < count && d; ) { |
for ( j = 0, d = n; j < count && d; ) { |
m = lprime[index++]; |
m = get_lprime(index++); |
if ( !m ) |
|
error("sqfrum : lprime[] exhausted."); |
|
if ( rem(NM((Q)COEF(DC(f))),m) == 0 ) continue; |
if ( rem(NM((Q)COEF(DC(f))),m) == 0 ) continue; |
|
|
ptoum(m,f,wf); |
ptoum(m,f,wf); |
|
|
l[i] = 0; |
l[i] = 0; |
} |
} |
|
|
void sqfrummain(mod,p,gcd,dcp) |
void sqfrummain(int mod,UM p,UM gcd,struct oDUM **dcp) |
int mod; |
|
UM p,gcd; |
|
struct oDUM **dcp; |
|
{ |
{ |
int i,j,n; |
int i,j,n; |
UM wp,wdp,wc,wd,ws,wt,wq; |
UM wp,wdp,wc,wd,ws,wt,wq; |
Line 341 struct oDUM **dcp; |
|
Line 397 struct oDUM **dcp; |
|
dc[j].f = 0; |
dc[j].f = 0; |
} |
} |
|
|
void cpyum(p1,p2) |
void cpyum(UM p1,UM p2) |
UM p1,p2; |
|
{ |
{ |
register int *c1,*c2,i; |
register int *c1,*c2,i; |
|
|
|
|
c2[i] = c1[i]; |
c2[i] = c1[i]; |
} |
} |
|
|
void degum(f,n) |
void clearum(UM p,int n) |
UM f; |
|
int n; |
|
{ |
{ |
|
DEG(p) = -1; |
|
bzero(COEF(p),(n+1)*sizeof(int)); |
|
} |
|
|
|
void degum(UM f,int n) |
|
{ |
register int i,*c; |
register int i,*c; |
|
|
for ( i = n, c = COEF(f); ( i >= 0 ) && ( c[i] == 0 ); i-- ); |
for ( i = n, c = COEF(f); ( i >= 0 ) && ( c[i] == 0 ); i-- ); |
DEG(f) = i; |
DEG(f) = i; |
} |
} |
|
|
int deg(v,p) |
int deg(V v,P p) |
V v; |
|
P p; |
|
{ |
{ |
if ( !p ) |
if ( !p ) |
return ( -1 ); |
return ( -1 ); |
|
|
return ( UDEG(p) ); |
return ( UDEG(p) ); |
} |
} |
|
|
LUM LUMALLOC(n,bound) |
LUM LUMALLOC(int n,int bound) |
int n,bound; |
|
{ |
{ |
LUM p; |
LUM p; |
int **c; |
int **c; |
|
|
return p; |
return p; |
} |
} |
|
|
void mullum(mod,n,f1,f2,fr) |
/* dx = deg in x, dy = deg in y, c[i] <-> the coef of y^i (poly in x) */ |
int mod,n; |
|
LUM f1,f2,fr; |
BM BMALLOC(int dx,int dy) |
{ |
{ |
|
BM p; |
|
UM *c; |
|
int i; |
|
|
|
p = (BM)MALLOC(TRUESIZE(oBM,dy,UM)); |
|
DEG(p) = dy; |
|
for ( i = 0, c = (UM *)COEF(p); i <= dy; i++ ) { |
|
c[i] = UMALLOC(dx); |
|
clearum(c[i],dx); |
|
} |
|
return p; |
|
} |
|
|
|
void mullum(int mod,int n,LUM f1,LUM f2,LUM fr) |
|
{ |
int max; |
int max; |
register int i,j,**p1,**p2,*px; |
register int i,j,**p1,**p2,*px; |
int *w,*w1,*w2; |
int *w,*w1,*w2; |
|
|
} |
} |
} |
} |
|
|
void cpylum(bound,p,r) |
void cpylum(int bound,LUM p,LUM r) |
int bound; |
|
LUM p,r; |
|
{ |
{ |
register int i,j; |
register int i,j; |
register int **pp,**ppr; |
register int **pp,**ppr; |
|
|
ppr[i][j] = pp[i][j]; |
ppr[i][j] = pp[i][j]; |
} |
} |
|
|
void pwrlum(mod,bound,p,n,r) |
int isequalum(UM f1,UM f2) |
int mod,bound,n; |
|
LUM p,r; |
|
{ |
{ |
|
int i; |
|
|
|
if ( DEG(f1) < 0 ) |
|
if ( DEG(f2) < 0 ) |
|
return 1; |
|
else |
|
return 0; |
|
else if ( DEG(f2) < 0 ) |
|
return 0; |
|
else { |
|
if ( DEG(f1) != DEG(f2) ) |
|
return 0; |
|
for ( i = 0; i <= DEG(f1); i++ ) |
|
if ( COEF(f1)[i] != COEF(f2)[i] ) |
|
break; |
|
if ( i < DEG(f1) ) |
|
return 0; |
|
else |
|
return 1; |
|
} |
|
} |
|
|
|
void pwrlum(int mod,int bound,LUM p,int n,LUM r) |
|
{ |
LUM t,s; |
LUM t,s; |
|
|
if ( n == 0 ) { |
if ( n == 0 ) { |
|
|
} |
} |
} |
} |
|
|
int **almat(n,m) |
int **almat(int n,int m) |
int n,m; |
|
{ |
{ |
int **mat,i; |
int **mat,i; |
|
|
|
|
return mat; |
return mat; |
} |
} |
|
|
void mini(mod,f,fr) |
void mini(int mod,UM f,UM fr) |
register int mod; |
|
UM f,fr; |
|
{ |
{ |
register int i,j,**c,*ptr; |
register int i,j,**c,*ptr; |
int d,dr,dm,n; |
int d,dr,dm,n; |
|
|
DEG(fr) = dm + 1; |
DEG(fr) = dm + 1; |
} |
} |
|
|
int minimain(mod,n,m,c) |
int minimain(int mod,int n,int m,int **c) |
register int mod; |
|
int n,m; |
|
register int **c; |
|
{ |
{ |
register int *ptr,*ci,*p; |
register int *ptr,*ci,*p; |
register int i,l,a,j,b,inv; |
register int i,l,a,j,b,inv; |
Line 546 register int **c; |
|
Line 631 register int **c; |
|
return (-1); |
return (-1); |
} |
} |
|
|
#if defined(__GNUC__) || defined(THINK_C) |
#if defined(__GNUC__) |
const |
const |
#endif |
#endif |
int sprime[] = { |
int sprime[] = { |
Line 701 int sprime[] = { |
|
Line 786 int sprime[] = { |
|
16273,16301,16319,16333,16339,16349,16361,16363,16369,16381, |
16273,16301,16319,16333,16339,16349,16361,16363,16369,16381, |
0 |
0 |
}; |
}; |
|
|
#include "prime.h" |
|