ack/lang/pc/libpc/log.c

60 lines
1 KiB
C

/* $Header$ */
#include <pc_err.h>
extern double _fef();
extern _trp();
/*
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) {
_trp(ELOG);
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);
}