| s_asinh.c (176451) | s_asinh.c (251599) |
|---|---|
| 1/* @(#)s_asinh.c 5.1 93/09/24 */ 2/* 3 * ==================================================== 4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 5 * 6 * Developed at SunPro, a Sun Microsystems, Inc. business. 7 * Permission to use, copy, modify, and distribute this 8 * software is freely granted, provided that this notice 9 * is preserved. 10 * ==================================================== 11 */ 12 13#include <sys/cdefs.h> | 1/* @(#)s_asinh.c 5.1 93/09/24 */ 2/* 3 * ==================================================== 4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 5 * 6 * Developed at SunPro, a Sun Microsystems, Inc. business. 7 * Permission to use, copy, modify, and distribute this 8 * software is freely granted, provided that this notice 9 * is preserved. 10 * ==================================================== 11 */ 12 13#include <sys/cdefs.h> |
| 14__FBSDID("$FreeBSD: head/lib/msun/src/s_asinh.c 176451 2008-02-22 02:30:36Z das $"); | 14__FBSDID("$FreeBSD: head/lib/msun/src/s_asinh.c 251599 2013-06-10 06:04:58Z das $"); |
| 15 16/* asinh(x) 17 * Method : 18 * Based on 19 * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] 20 * we have 21 * asinh(x) := x if 1+x*x=1, 22 * := sign(x)*(log(x)+ln2)) for large |x|, else 23 * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else 24 * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) 25 */ 26 | 15 16/* asinh(x) 17 * Method : 18 * Based on 19 * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ] 20 * we have 21 * asinh(x) := x if 1+x*x=1, 22 * := sign(x)*(log(x)+ln2)) for large |x|, else 23 * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else 24 * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2))) 25 */ 26 |
| 27#include <float.h> 28 |
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| 27#include "math.h" 28#include "math_private.h" 29 30static const double 31one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ 32ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ 33huge= 1.00000000000000000000e+300; 34 --- 14 unchanged lines hidden (view full) --- 49 t = fabs(x); 50 w = __ieee754_log(2.0*t+one/(__ieee754_sqrt(x*x+one)+t)); 51 } else { /* 2.0 > |x| > 2**-28 */ 52 t = x*x; 53 w =log1p(fabs(x)+t/(one+__ieee754_sqrt(one+t))); 54 } 55 if(hx>0) return w; else return -w; 56} | 29#include "math.h" 30#include "math_private.h" 31 32static const double 33one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ 34ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */ 35huge= 1.00000000000000000000e+300; 36 --- 14 unchanged lines hidden (view full) --- 51 t = fabs(x); 52 w = __ieee754_log(2.0*t+one/(__ieee754_sqrt(x*x+one)+t)); 53 } else { /* 2.0 > |x| > 2**-28 */ 54 t = x*x; 55 w =log1p(fabs(x)+t/(one+__ieee754_sqrt(one+t))); 56 } 57 if(hx>0) return w; else return -w; 58} |
| 59 60#if LDBL_MANT_DIG == 53 61__weak_reference(asinh, asinhl); 62#endif |
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