/* * $Id: math_sinh.c,v 1.5 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. */ #ifndef _MATH_HEADERS_H #include "math_headers.h" #endif /* _MATH_HEADERS_H */ /****************************************************************************/ #if defined(FLOATING_POINT_SUPPORT) /****************************************************************************/ #if defined(IEEE_FLOATING_POINT_SUPPORT) /****************************************************************************/ #if defined(__GNUC__) /****************************************************************************/ #if defined(SMALL_DATA) #define A4(x) "a4@(" #x ":W)" #elif defined(SMALL_DATA32) #define A4(x) "a4@(" #x ":L)" #else #define A4(x) #x #endif /* SMALL_DATA */ /****************************************************************************/ extern double __sinh(double x); /****************************************************************************/ asm( " .text\n" " .even\n" " .globl _MathIeeeDoubTransBase\n" " .globl ___sinh\n" "___sinh:\n" " movel a6,sp@-\n" " movel "A4(_MathIeeeDoubTransBase)",a6\n" " moveml sp@(8),d0/d1\n" " jsr a6@(-60:W)\n" " movel sp@+,a6\n" " rts\n" ); /****************************************************************************/ #else /****************************************************************************/ INLINE STATIC const double __sinh(double x) { double result; result = IEEEDPSinh(x); return(result); } /****************************************************************************/ #endif /* __GNUC__ */ /****************************************************************************/ #endif /* IEEE_FLOATING_POINT_SUPPORT */ /****************************************************************************/ #if defined(M68881_FLOATING_POINT_SUPPORT) INLINE STATIC const double __sinh(double x) { double result; __asm ("fsinh%.x %1,%0" : "=f" (result) : "f" (x)); return(result); } #endif /* M68881_FLOATING_POINT_SUPPORT */ /****************************************************************************/ #if defined(PPC_FLOATING_POINT_SUPPORT) static const double one = 1.0, shuge = 1.0e307; INLINE STATIC double __sinh(double x) { double t,w,h; int ix,jx; unsigned int lx; /* High word of |x|. */ GET_HIGH_WORD(jx,x); ix = jx&0x7fffffff; /* x is INF or NaN */ if(ix>=0x7ff00000) 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 < 0x40360000) { /* |x|<22 */ if (ix<0x3e300000) /* |x|<2**-28 */ if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */ t = __expm1(fabs(x)); if(ix<0x3ff00000) return h*(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 < 0x40862E42) return h*exp(fabs(x)); /* |x| in [log(maxdouble), overflowthresold] */ GET_LOW_WORD(lx,x); if (ix<0x408633CE || (ix==0x408633ce && lx<=(unsigned int)0x8fb9f87d)) { w = exp(0.5*fabs(x)); t = h*w; return t*w; } /* |x| > overflowthresold, sinh(x) overflow */ return x*shuge; } #endif /* PPC_FLOATING_POINT_SUPPORT */ /****************************************************************************/ double sinh(double x) { double result; result = __sinh(x); return(result); } /****************************************************************************/ #endif /* FLOATING_POINT_SUPPORT */