ack/lang/cem/libcc.ansi/core/math/log.c
David Given d1cdb07719 Realise that the libc core can safely call other libc core functions, even if
they're not defined in the core: so putw() can call stdio stuff, for example.
So the earlier concept of pureness isn't necessary. Rename accordingly.
2018-06-21 23:24:23 +02:00

76 lines
1.3 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
*/
/* $Id$ */
#include <math.h>
#include <float.h>
#include <errno.h>
#include "localmath.h"
double
log(double x)
{
/* Algorithm and coefficients from:
"Software manual for the elementary functions"
by W.J. Cody and W. Waite, Prentice-Hall, 1980
*/
static double a[] = {
-0.64124943423745581147e2,
0.16383943563021534222e2,
-0.78956112887491257267e0
};
static double b[] = {
-0.76949932108494879777e3,
0.31203222091924532844e3,
-0.35667977739034646171e2,
1.0
};
double znum, zden, z, w;
int exponent;
if (__IsNan(x))
{
errno = EDOM;
return x;
}
if (x < 0)
{
errno = EDOM;
return -HUGE_VAL;
}
else if (x == 0)
{
errno = ERANGE;
return -HUGE_VAL;
}
if (x <= DBL_MAX)
{
}
else
return x; /* for infinity and Nan */
x = frexp(x, &exponent);
if (x > M_1_SQRT2)
{
znum = (x - 0.5) - 0.5;
zden = x * 0.5 + 0.5;
}
else
{
znum = x - 0.5;
zden = znum * 0.5 + 0.5;
exponent--;
}
z = znum / zden;
w = z * z;
x = z + z * w * (POLYNOM2(w, a) / POLYNOM3(w, b));
z = exponent;
x += z * (-2.121944400546905827679e-4);
return x + z * 0.693359375;
}