ack/lang/pc/libpc/sqt.c
2018-06-17 22:30:27 +02:00

74 lines
1.1 KiB
C

/*
* (c) copyright 1988 by the Vrije Universiteit, Amsterdam, The Netherlands.
* See the copyright notice in the ACK home directory, in the file "Copyright".
*
* Author: Ceriel J.H. Jacobs
*/
/* $Id$ */
#define __NO_DEFS
#include <math.h>
#include "pc.h"
#define NITER 5
static double Ldexp(double fl, int exp)
{
int sign = 1;
int currexp;
if (fl < 0)
{
fl = -fl;
sign = -1;
}
fl = _fef(fl, &currexp);
exp += currexp;
if (exp > 0)
{
while (exp > 30)
{
fl *= (double)(1L << 30);
exp -= 30;
}
fl *= (double)(1L << exp);
}
else
{
while (exp < -30)
{
fl /= (double)(1L << 30);
exp += 30;
}
fl /= (double)(1L << -exp);
}
return sign * fl;
}
double _sqt(double x)
{
int exponent;
double val;
if (x <= 0)
{
if (x < 0)
_trp(ESQT);
return 0;
}
val = _fef(x, &exponent);
if (exponent & 1)
{
exponent--;
val *= 2;
}
val = Ldexp(val + 1.0, exponent / 2 - 1);
/* was: val = (val + 1.0)/2.0; val = Ldexp(val, exponent/2); */
for (exponent = NITER - 1; exponent >= 0; exponent--)
{
val = (val + x / val) / 2.0;
}
return val;
}