ack/lang/cem/libcc.ansi/pure/math/exp.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
exp(double x)
{
	/*	Algorithm and coefficients from:
			"Software manual for the elementary functions"
			by W.J. Cody and W. Waite, Prentice-Hall, 1980
	*/

	static double p[] = {
		0.25000000000000000000e+0,
		0.75753180159422776666e-2,
		0.31555192765684646356e-4
	};

	static double q[] = {
		0.50000000000000000000e+0,
		0.56817302698551221787e-1,
		0.63121894374398503557e-3,
		0.75104028399870046114e-6
	};
	double xn, g;
	int n;
	int negative = x < 0;

	if (__IsNan(x))
	{
		errno = EDOM;
		return x;
	}
	if (x < M_LN_MIN_D)
	{
		errno = ERANGE;
		return 0.0;
	}
	if (x > M_LN_MAX_D)
	{
		errno = ERANGE;
		return HUGE_VAL;
	}

	if (negative)
		x = -x;

	/* ??? avoid underflow ??? */

	n = x * M_LOG2E + 0.5; /* 1/ln(2) = log2(e), 0.5 added for rounding */
	xn = n;
	{
		double x1 = (long)x;
		double x2 = x - x1;

		g = ((x1 - xn * 0.693359375) + x2) - xn * (-2.1219444005469058277e-4);
	}
	if (negative)
	{
		g = -g;
		n = -n;
	}
	xn = g * g;
	x = g * POLYNOM2(xn, p);
	n += 1;
	return (ldexp(0.5 + x / (POLYNOM3(xn, q) - x), n));
}