1 /* from: FreeBSD: head/lib/msun/src/e_atanh.c 176451 2008-02-22 02:30:36Z das */ 2 3 /* 4 * ==================================================== 5 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 6 * 7 * Developed at SunSoft, a Sun Microsystems, Inc. business. 8 * Permission to use, copy, modify, and distribute this 9 * software is freely granted, provided that this notice 10 * is preserved. 11 * ==================================================== 12 * 13 */ 14 15 #include <sys/cdefs.h> 16 17 #include "namespace.h" 18 19 #include <float.h> 20 #include <machine/ieee.h> 21 22 #include "math.h" 23 #include "math_private.h" 24 25 __weak_alias(atanhl, _atanhl) 26 27 #ifdef __HAVE_LONG_DOUBLE 28 /* 29 * See e_atanh.c for complete comments. 30 * 31 * Converted to long double by David Schultz <das@FreeBSD.ORG> and 32 * Bruce D. Evans. 33 */ 34 35 #ifdef __i386__ 36 #include <ieeefp.h> 37 #endif 38 39 /* EXP_TINY is the threshold below which we use atanh(x) ~= x. */ 40 #if LDBL_MANT_DIG == 64 41 #define EXP_TINY -34 42 #elif LDBL_MANT_DIG == 113 43 #define EXP_TINY -58 44 #else 45 #error "Unsupported long double format" 46 #endif 47 48 #if LDBL_MAX_EXP != 0x4000 49 /* We also require the usual expsign encoding. */ 50 #error "Unsupported long double format" 51 #endif 52 53 #define BIAS (LDBL_MAX_EXP - 1) 54 55 static const double one = 1.0, huge = 1e300; 56 static const double zero = 0.0; 57 58 long double 59 atanhl(long double x) 60 { 61 long double t; 62 uint16_t hx, ix; 63 64 ENTERI(); 65 GET_LDBL_EXPSIGN(hx, x); 66 ix = hx & 0x7fff; 67 if (ix >= 0x3fff) /* |x| >= 1, or NaN or misnormal */ 68 RETURNI(fabsl(x) == 1 ? x / zero : (x - x) / (x - x)); 69 if (ix < BIAS + EXP_TINY && (huge + x) > zero) 70 RETURNI(x); /* x is tiny */ 71 SET_LDBL_EXPSIGN(x, ix); 72 if (ix < 0x3ffe) { /* |x| < 0.5, or misnormal */ 73 t = x+x; 74 t = 0.5*log1pl(t+t*x/(one-x)); 75 } else 76 t = 0.5*log1pl((x+x)/(one-x)); 77 RETURNI((hx & 0x8000) == 0 ? t : -t); 78 } 79 #else 80 long double 81 atanhl(long double x) 82 { 83 return atanh(x); 84 } 85 #endif 86