/* * $Id: math_sinhf.c,v 1.3 2006-01-08 12:04:24 obarthel Exp $ * * :ts=4 * * Portable ISO 'C' (1994) runtime library for the Amiga computer * Copyright (c) 2002-2015 by Olaf Barthel * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * - Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * - Neither the name of Olaf Barthel nor the names of contributors * may be used to endorse or promote products derived from this * software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * * * PowerPC math library based in part on work by Sun Microsystems * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * * * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. */ #ifndef _MATH_HEADERS_H #include "math_headers.h" #endif /* _MATH_HEADERS_H */ /****************************************************************************/ #if defined(FLOATING_POINT_SUPPORT) /****************************************************************************/ static const float one = 1.0, shuge = 1.0e37; float sinhf(float x) { float t,w,h; LONG ix,jx; GET_FLOAT_WORD(jx,x); ix = jx&0x7fffffff; /* x is INF or NaN */ if(ix>=0x7f800000) return x+x; h = 0.5; if (jx<0) h = -h; /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */ if (ix < 0x41b00000) { /* |x|<22 */ if (ix<0x31800000) /* |x|<2**-28 */ if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */ t = expm1f(fabsf(x)); if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one)); return h*(t+t/(t+one)); } /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */ if (ix < 0x42b17180) return h*expf(fabsf(x)); /* |x| in [log(maxdouble), overflowthresold] */ if (ix<=0x42b2d4fc) { w = expf((float)0.5*fabsf(x)); t = h*w; return t*w; } /* |x| > overflowthresold, sinh(x) overflow */ return x*shuge; } /****************************************************************************/ #endif /* FLOATING_POINT_SUPPORT */