static F2(jtcfrz){A z;B b=0,p;I j,n;Z c,d,*t,*u,*v;
RZ(w=rsort(w));
n=AN(w); u=ZAV(w);
GATV(z,CMPX,1+n,1,0); v=ZAV(z); *v=c=*ZAV(a); p=!c.im;
for(j=0;j<n;++j){
d=znegate(u[j]); t=j+v; *(1+t)=*t;
DO(j, *t=zplus(*(t-1),ztymes(d,*t)); --t;);
*v=ztymes(d,*v);
if(p&&d.im)if(b=!b)c=u[j]; else if(p=ZCJ(c,u[j])){t=v; DO(2+j, t++->im=0.0;);}
void Montgomery_multiplication(long b, long n,
verylong zm, verylong zx,
verylong zy, verylong *zA)
{
long i, n1 = n + 1, u, mp, *a, *m, *x, *y;
verylong za = 0, zb = 0, zc = 0, zd = 0, zs = 0;
a = calloc(n1, sizeof(long));
m = calloc(n1, sizeof(long));
x = calloc(n1, sizeof(long));
y = calloc(n1, sizeof(long));
if (a == 0 || m == 0 || x == 0 || y == 0) {
printf("*error*\ncan't get memory from Montgomery");
printf(" multiplication");
exit(1);
}
zintoz(b, &zb);
zinvmod(zm, zb, &za);
znegate(&za);
mp = zsmod(za, b);
radix_representation(b, n1, m, zm);
radix_representation(b, n1, x, zx);
radix_representation(b, n1, y, zy);
zzero(zA);
for (i = 0; i < n; i++) {
radix_representation(b, n1, a, *zA);
u = ((a[0] + x[i] * y[0]) * mp) % b;
zsmul(zy, x[i], &za);
zsmul(zm, u, &zc);
zadd(*zA, za, &zs);
zadd(zs, zc, &zd);
zsdiv(zd, b, zA);
}
if (zcompare(*zA, zm) >= 0) {
zsub(*zA, zm, &za);
zcopy(za, zA);
}
free(a);
free(m);
free(x);
free(y);
zfree(&za);
zfree(&zb);
zfree(&zc);
zfree(&zd);
zfree(&zs);
}
int simultaneous_diophantine(double delta,
long n,
verylong zQ,
verylong *zP,
verylong *zp,
verylong *zq)
{
double P, Q, l;
int equal, found;
long i, j, n1 = n + 1;
verylong zd = 0, zl = 0, zr = 0, zs = 0, zt = 0;
verylong **zA = allocate_very_matrix(1, n1, 1, n1);
verylong **zh = allocate_very_matrix(1, n1, 1, n1);
Q = zdoub(zQ);
zintoz(pow(Q, delta), &zl);
l = 1.0 / zdoub(zl);
zmul(zl, zQ, &zd);
for (i = 1; i <= n; i++)
zcopy(zd, &zA[i][i]);
znegate(&zl);
for (i = 1; i <= n; i++)
zmul(zl, zq[i], &zA[n1][i]);
zone(&zA[n1][n1]);
int_LLL(n1, zA, zh);
found = 0;
for (j = 1; !found && j <= n1; j++) {
zcopy(zA[j][n1], zP);
if (zcompare(*zP, zQ) != 0) {
for (i = 1; i <= n; i++) {
zdiv(zA[j][i], zl, &zr, &zs);
zmul(*zP, zq[i], &zt);
zadd(zr, zt, &zs);
zdiv(zs, zQ, &zp[i], &zr);
}
P = zdoub(*zP);
#ifdef DEBUG
if (n <= 16) {
printf("p = ");
zwrite(*zP);
printf(" p[i] ");
for (i = 1; i <= n; i++) {
zwrite(zp[i]);
printf(" ");
}
printf("\n");
}
#endif
if (zcompare(*zP, 0) != 0) {
equal = 1;
for (i = 1; equal && i <= n; i++)
equal = fabs(P * zdoub(zq[i]) / Q - zdoub(zp[i]))
<= l;
}
else equal = 0;
found = equal;
}
}
free_very_matrix(zA, 1, n1, 1, n1);
free_very_matrix(zh, 1, n1, 1, n1);
zfree(&zd);
zfree(&zl);
zfree(&zr);
zfree(&zs);
zfree(&zt);
return found;
}
