e_sinhf.c revision 152353
12116Sjkh/* e_sinhf.c -- float version of e_sinh.c. 22116Sjkh * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. 32116Sjkh */ 42116Sjkh 52116Sjkh/* 62116Sjkh * ==================================================== 72116Sjkh * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 82116Sjkh * 92116Sjkh * Developed at SunPro, a Sun Microsystems, Inc. business. 102116Sjkh * Permission to use, copy, modify, and distribute this 118870Srgrimes * software is freely granted, provided that this notice 122116Sjkh * is preserved. 132116Sjkh * ==================================================== 142116Sjkh */ 152116Sjkh 162116Sjkh#ifndef lint 1750476Speterstatic char rcsid[] = "$FreeBSD: head/lib/msun/src/e_sinhf.c 152353 2005-11-13 00:41:46Z bde $"; 182116Sjkh#endif 192116Sjkh 202116Sjkh#include "math.h" 212116Sjkh#include "math_private.h" 222116Sjkh 232116Sjkhstatic const float one = 1.0, shuge = 1.0e37; 242116Sjkh 2597413Salfredfloat 2697413Salfred__ieee754_sinhf(float x) 278870Srgrimes{ 282116Sjkh float t,w,h; 292116Sjkh int32_t ix,jx; 302116Sjkh 312116Sjkh GET_FLOAT_WORD(jx,x); 322116Sjkh ix = jx&0x7fffffff; 332116Sjkh 342116Sjkh /* x is INF or NaN */ 358870Srgrimes if(ix>=0x7f800000) return x+x; 362116Sjkh 372116Sjkh h = 0.5; 382116Sjkh if (jx<0) h = -h; 39152353Sbde /* |x| in [0,9], return sign(x)*0.5*(E+E/(E+1))) */ 40152353Sbde if (ix < 0x41100000) { /* |x|<9 */ 41152353Sbde if (ix<0x39800000) /* |x|<2**-12 */ 422116Sjkh if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */ 432116Sjkh t = expm1f(fabsf(x)); 442116Sjkh if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one)); 452116Sjkh return h*(t+t/(t+one)); 462116Sjkh } 472116Sjkh 48152353Sbde /* |x| in [9, logf(maxfloat)] return 0.5*exp(|x|) */ 49152353Sbde if (ix < 0x42b17217) return h*__ieee754_expf(fabsf(x)); 502116Sjkh 51152353Sbde /* |x| in [logf(maxfloat), overflowthresold] */ 522116Sjkh if (ix<=0x42b2d4fc) { 532116Sjkh w = __ieee754_expf((float)0.5*fabsf(x)); 542116Sjkh t = h*w; 552116Sjkh return t*w; 562116Sjkh } 572116Sjkh 582116Sjkh /* |x| > overflowthresold, sinh(x) overflow */ 592116Sjkh return x*shuge; 602116Sjkh} 61