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git-svn-id: file:///Users/olsen/Code/migration-svn-zu-git/logical-line-staging/clib2/trunk@15079 87f5fb63-7c3d-0410-a384-fd976d0f7a62
250 lines
6.4 KiB
C
250 lines
6.4 KiB
C
/*
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* $Id: math_asin.c,v 1.7 2006-01-08 12:04:23 obarthel Exp $
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*
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* :ts=4
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*
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* Portable ISO 'C' (1994) runtime library for the Amiga computer
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* Copyright (c) 2002-2006 by Olaf Barthel <olsen (at) sourcery.han.de>
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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*
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* - Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* - Neither the name of Olaf Barthel nor the names of contributors
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* may be used to endorse or promote products derived from this
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* software without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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* POSSIBILITY OF SUCH DAMAGE.
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*
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*
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* PowerPC math library based in part on work by Sun Microsystems
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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*/
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#ifndef _MATH_HEADERS_H
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#include "math_headers.h"
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#endif /* _MATH_HEADERS_H */
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/****************************************************************************/
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#if defined(FLOATING_POINT_SUPPORT)
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/****************************************************************************/
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#if defined(IEEE_FLOATING_POINT_SUPPORT)
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/****************************************************************************/
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#if defined(__GNUC__)
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/****************************************************************************/
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#if defined(SMALL_DATA)
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#define A4(x) "a4@(" #x ":W)"
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#elif defined(SMALL_DATA32)
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#define A4(x) "a4@(" #x ":L)"
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#else
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#define A4(x) #x
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#endif /* SMALL_DATA */
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/****************************************************************************/
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double __asin(double x);
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/****************************************************************************/
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asm("
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.text
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.even
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.globl _MathIeeeDoubTransBase
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.globl ___asin
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___asin:
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movel a6,sp@-
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movel "A4(_MathIeeeDoubTransBase)",a6
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moveml sp@(8),d0/d1
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jsr a6@(-114:W)
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movel sp@+,a6
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rts
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");
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/****************************************************************************/
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#else
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/****************************************************************************/
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INLINE STATIC const double
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__asin(double x)
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{
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double result;
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result = IEEEDPAsin(x);
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return(result);
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}
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/****************************************************************************/
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#endif /* __GNUC__ */
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/****************************************************************************/
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#endif /* IEEE_FLOATING_POINT_SUPPORT */
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/****************************************************************************/
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#if defined(M68881_FLOATING_POINT_SUPPORT)
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INLINE STATIC const double
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__asin(double x)
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{
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double result;
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__asm ("fasin%.x %1,%0"
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: "=f" (result)
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: "f" (x));
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return(result);
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}
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#endif /* M68881_FLOATING_POINT_SUPPORT */
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/****************************************************************************/
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#if defined(PPC_FLOATING_POINT_SUPPORT)
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static const double
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one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
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huge = 1.000e+300,
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pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
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pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
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pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */
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/* coefficient for R(x^2) */
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pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
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pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */
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pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */
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pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */
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pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */
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pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */
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qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */
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qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
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qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
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qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */
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INLINE STATIC double
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__asin(double x)
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{
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double t,w,p,q,c,r,s;
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int hx,ix;
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GET_HIGH_WORD(hx,x);
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ix = hx&0x7fffffff;
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if(ix>= 0x3ff00000) /* |x|>= 1 */
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{
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unsigned int lx;
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GET_LOW_WORD(lx,x);
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if(((ix-0x3ff00000)|lx)==0) /* asin(1)=+-pi/2 with inexact */
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return x*pio2_hi+x*pio2_lo;
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return (x-x)/(x-x); /* asin(|x|>1) is NaN */
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}
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else if (ix<0x3fe00000) /* |x|<0.5 */
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{
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if(ix<0x3e400000) /* if |x| < 2**-27 */
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{
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if(huge+x>one)
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return x; /* return x with inexact if x!=0*/
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}
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else
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{
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t = x*x;
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p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
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q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
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w = p/q;
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return x+x*w;
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}
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}
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/* 1> |x|>= 0.5 */
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w = one-fabs(x);
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t = w*0.5;
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p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
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q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
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s = sqrt(t);
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if(ix>=0x3FEF3333) /* if |x| > 0.975 */
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{
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w = p/q;
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t = pio2_hi-(2.0*(s+s*w)-pio2_lo);
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}
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else
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{
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w = s;
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SET_LOW_WORD(w,0);
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c = (t-w*w)/(s+w);
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r = p/q;
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p = 2.0*s*r-(pio2_lo-2.0*c);
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q = pio4_hi-2.0*w;
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t = pio4_hi-(p-q);
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}
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if(hx>0)
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return t;
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else
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return -t;
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}
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#endif /* PPC_FLOATING_POINT_SUPPORT */
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/****************************************************************************/
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double
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asin(double x)
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{
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double result;
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if(-1.0 <= x && x <= 1.0)
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{
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result = __asin(x);
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}
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else
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{
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result = 0;
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__set_errno(EDOM);
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}
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return(result);
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}
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/****************************************************************************/
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#endif /* FLOATING_POINT_SUPPORT */
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