59 lines
		
	
	
	
		
			1.1 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
			
		
		
	
	
			59 lines
		
	
	
	
		
			1.1 KiB
		
	
	
	
		
			C
		
	
	
	
	
	
/*
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 * (c) copyright 1989 by the Vrije Universiteit, Amsterdam, The Netherlands.
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 * See the copyright notice in the ACK home directory, in the file "Copyright".
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 *
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 * Author: Ceriel J.H. Jacobs
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 */
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/* $Header$ */
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#include <math.h>
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#include <errno.h>
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extern int	errno;
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extern double	frexp();
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double
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log(x)
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	double	x;
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{
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	/*	Algorithm and coefficients from:
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			"Software manual for the elementary functions"
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			by W.J. Cody and W. Waite, Prentice-Hall, 1980
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	*/
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	static double a[] = {
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		-0.64124943423745581147e2,
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		 0.16383943563021534222e2,
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		-0.78956112887491257267e0
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	};
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	static double b[] = {
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		-0.76949932108494879777e3,
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		 0.31203222091924532844e3,
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		-0.35667977739034646171e2,
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		 1.0
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	};
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	double	znum, zden, z, w;
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	int	exponent;
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	if (x <= 0) {
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		errno = EDOM;
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		return 0;
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	}
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	x = frexp(x, &exponent);
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	if (x > M_1_SQRT2) {
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		znum = (x - 0.5) - 0.5;
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		zden = x * 0.5 + 0.5;
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	}
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	else {
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		znum = x - 0.5;
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		zden = znum * 0.5 + 0.5;
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		exponent--;
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	}
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	z = znum/zden; w = z * z;
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	x = z + z * w * (POLYNOM2(w,a)/POLYNOM3(w,b));
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	z = exponent;
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	x += z * (-2.121944400546905827679e-4);
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	return x + z * 0.693359375;
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}
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