Beispiel #1
0
void NR::mpdiv(Vec_O_UCHR &q, Vec_O_UCHR &r, Vec_I_UCHR &u, Vec_I_UCHR &v)
{
	const int MACC=1;
	int i,is,mm;

	int n=u.size();
	int m=v.size();
	int p=r.size();
	int n_min=MIN(m,p);
	if (m > n) nrerror("Divisor longer than dividend in mpdiv");
	mm=m+MACC;
	Vec_UCHR s(mm),rr(mm),ss(mm+1),qq(n-m+1),t(n);
	mpinv(s,v);
	mpmul(rr,s,u);
	mpsad(ss,rr,1);
	mplsh(ss);
	mplsh(ss);
	mpmov(qq,ss);
	mpmov(q,qq);
	mpmul(t,qq,v);
	mplsh(t);
	mpsub(is,t,u,t);
	if (is != 0) nrerror("MACC too small in mpdiv");
	for (i=0;i<n_min;i++) r[i]=t[i+n-m];
	if (p>m)
		for (i=m;i<p;i++) r[i]=0;
}
Beispiel #2
0
void mpsqrt(unsigned char w[], unsigned char u[], unsigned char v[], int n,
	int m)
{
	void mplsh(unsigned char u[], int n);
	void mpmov(unsigned char u[], unsigned char v[], int n);
	void mpmul(unsigned char w[], unsigned char u[], unsigned char v[], int n,
		int m);
	void mpneg(unsigned char u[], int n);
	void mpsdv(unsigned char w[], unsigned char u[], int n, int iv, int *ir);
	int i,ir,j,mm;
	float fu,fv;
	unsigned char *r,*s;

	r=cvector(1,n<<1);
	s=cvector(1,n<<1);
	mm=IMIN(m,MF);
	fv=(float) v[mm];
	for (j=mm-1;j>=1;j--) {
		fv *= BI;
		fv += v[j];
	}
	fu=1.0/sqrt(fv);
	for (j=1;j<=n;j++) {
		i=(int) fu;
		u[j]=(unsigned char) i;
		fu=256.0*(fu-i);
	}
	for (;;) {
		mpmul(r,u,u,n,n);
		mplsh(r,n);
		mpmul(s,r,v,n,IMIN(m,n));
		mplsh(s,n);
		mpneg(s,n);
		s[1] -= 253;
		mpsdv(s,s,n,2,&ir);
		for (j=2;j<n;j++) {
			if (s[j]) {
				mpmul(r,s,u,n,n);
				mpmov(u,&r[1],n);
				break;
			}
		}
		if (j<n) continue;
		mpmul(r,u,v,n,IMIN(m,n));
		mpmov(w,&r[1],n);
		free_cvector(s,1,n<<1);
		free_cvector(r,1,n<<1);
		return;
	}
}
Beispiel #3
0
void mpinv(unsigned char u[], unsigned char v[], int n, int m)
{
	void mpmov(unsigned char u[], unsigned char v[], int n);
	void mpmul(unsigned char w[], unsigned char u[], unsigned char v[], int n,
		int m);
	void mpneg(unsigned char u[], int n);
	unsigned char *rr,*s;
	int i,j,maxmn,mm;
	float fu,fv;

	maxmn=IMAX(n,m);
	rr=cvector(1,1+(maxmn<<1));
	s=cvector(1,maxmn);
	mm=IMIN(MF,m);
	fv=(float) v[mm];
	for (j=mm-1;j>=1;j--) {
		fv *= BI;
		fv += v[j];
	}
	fu=1.0/fv;
	for (j=1;j<=n;j++) {
		i=(int) fu;
		u[j]=(unsigned char) i;
		fu=256.0*(fu-i);
	}
	for (;;) {
		mpmul(rr,u,v,n,m);
		mpmov(s,&rr[1],n);
		mpneg(s,n);
		s[1] -= 254;
		mpmul(rr,s,u,n,n);
		mpmov(u,&rr[1],n);
		for (j=2;j<n;j++)
			if (s[j]) break;
		if (j==n) {
			free_cvector(s,1,maxmn);
			free_cvector(rr,1,1+(maxmn<<1));
			return;
		}
	}
}