ack/lang/basic/lib/log.c

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1984-11-29 14:22:02 +00:00
/*
* (c) copyright 1983 by the Vrije Universiteit, Amsterdam, The Netherlands.
*
* This product is part of the Amsterdam Compiler Kit.
*
* Permission to use, sell, duplicate or disclose this software must be
* obtained in writing. Requests for such permissions may be sent to
*
* Dr. Andrew S. Tanenbaum
* Wiskundig Seminarium
* Vrije Universiteit
* Postbox 7161
* 1007 MC Amsterdam
* The Netherlands
*
*/
1985-01-21 12:47:04 +00:00
/* $Header$ */
1984-11-29 14:22:02 +00:00
/* Author: J.W. Stevenson */
extern double _fef();
/*
log returns the natural logarithm of its floating
point argument.
The coefficients are #2705 from Hart & Cheney. (19.38D)
It calls _fef.
*/
#define HUGE 1.701411733192644270e38
static double log2 = 0.693147180559945309e0;
static double sqrto2 = 0.707106781186547524e0;
static double p0 = -.240139179559210510e2;
static double p1 = 0.309572928215376501e2;
static double p2 = -.963769093368686593e1;
static double p3 = 0.421087371217979714e0;
static double q0 = -.120069589779605255e2;
static double q1 = 0.194809660700889731e2;
static double q2 = -.891110902798312337e1;
double
_log(arg)
double arg;
{
double x,z, zsq, temp;
int exp;
if(arg <= 0) {
error(3);
return(-HUGE);
}
x = _fef(arg,&exp);
/*
while(x < 0.5) {
x =* 2;
exp--;
}
*/
if(x<sqrto2) {
x *= 2;
exp--;
}
z = (x-1)/(x+1);
zsq = z*z;
temp = ((p3*zsq + p2)*zsq + p1)*zsq + p0;
temp = temp/(((zsq + q2)*zsq + q1)*zsq + q0);
temp = temp*z + exp*log2;
return(temp);
}