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 16176451Sdas#include <sys/cdefs.h> 17176451Sdas__FBSDID("$FreeBSD$"); 182116Sjkh 192116Sjkh#include "math.h" 202116Sjkh#include "math_private.h" 212116Sjkh 222116Sjkhstatic const float one = 1.0, shuge = 1.0e37; 232116Sjkh 2497413Salfredfloat 2597413Salfred__ieee754_sinhf(float x) 268870Srgrimes{ 27226598Sdas float t,h; 282116Sjkh int32_t ix,jx; 292116Sjkh 302116Sjkh GET_FLOAT_WORD(jx,x); 312116Sjkh ix = jx&0x7fffffff; 322116Sjkh 332116Sjkh /* x is INF or NaN */ 348870Srgrimes if(ix>=0x7f800000) return x+x; 352116Sjkh 362116Sjkh h = 0.5; 372116Sjkh if (jx<0) h = -h; 38152353Sbde /* |x| in [0,9], return sign(x)*0.5*(E+E/(E+1))) */ 39152353Sbde if (ix < 0x41100000) { /* |x|<9 */ 40152353Sbde if (ix<0x39800000) /* |x|<2**-12 */ 412116Sjkh if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */ 422116Sjkh t = expm1f(fabsf(x)); 432116Sjkh if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one)); 442116Sjkh return h*(t+t/(t+one)); 452116Sjkh } 462116Sjkh 47152353Sbde /* |x| in [9, logf(maxfloat)] return 0.5*exp(|x|) */ 48152353Sbde if (ix < 0x42b17217) return h*__ieee754_expf(fabsf(x)); 492116Sjkh 50152353Sbde /* |x| in [logf(maxfloat), overflowthresold] */ 51226598Sdas if (ix<=0x42b2d4fc) 52226598Sdas return h*2.0F*__ldexp_expf(fabsf(x), -1); 532116Sjkh 542116Sjkh /* |x| > overflowthresold, sinh(x) overflow */ 552116Sjkh return x*shuge; 562116Sjkh} 57