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amiga-clib2/library/math_log.c
Olaf Barthel 6612118e97 - log(+/-0), logb(+/-0), log10(+/-0) now return -infinity.
- getcwd() now considers a buffer size of 0 an error, and it sets
  the errno code to ERANGE if the buffer is too small.

- With Unix path semantics enabled, rename() now fails if either
  the old or the new name are empty strings. Same thing for
  opendir(), utime(), unlink(), chown(), link(), readlink(),
  realpath(), chdir(), access(), stat(), rmdir(), lstat(),
  chmod(), statfs() and open()/fopen().

- Fixed several issues with the formatted output of strftime()
  for the "C" locale: "%p" could return " PM", "%c" is now
  equivalent to "%a %b %e %T %Y", "%x" is equivalent to "%m/%d/%y"
  and "%X" is now equivalent to "%T".


git-svn-id: file:///Users/olsen/Code/migration-svn-zu-git/logical-line-staging/clib2/trunk@15020 87f5fb63-7c3d-0410-a384-fd976d0f7a62
2005-08-26 12:39:33 +00:00

264 lines
6.1 KiB
C

/*
* $Id: math_log.c,v 1.7 2005-08-26 12:39:33 obarthel Exp $
*
* :ts=4
*
* Portable ISO 'C' (1994) runtime library for the Amiga computer
* Copyright (c) 2002-2005 by Olaf Barthel <olsen@sourcery.han.de>
* 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 __log(double x);
/****************************************************************************/
asm("
.text
.even
.globl _MathIeeeDoubTransBase
.globl ___log
___log:
movel a6,sp@-
movel "A4(_MathIeeeDoubTransBase)",a6
moveml sp@(8),d0/d1
jsr a6@(-84:W)
movel sp@+,a6
rts
");
/****************************************************************************/
#else
/****************************************************************************/
INLINE STATIC const double
__log(double x)
{
double result;
result = IEEEDPLog(x);
return(result);
}
/****************************************************************************/
#endif /* __GNUC__ */
/****************************************************************************/
#endif /* IEEE_FLOATING_POINT_SUPPORT */
/****************************************************************************/
#if defined(M68881_FLOATING_POINT_SUPPORT)
INLINE STATIC const double
__log(double x)
{
double result;
__asm ("flogn%.x %1,%0"
: "=f" (result)
: "f" (x));
return(result);
}
#endif /* M68881_FLOATING_POINT_SUPPORT */
/****************************************************************************/
#if defined(__PPC__)
static const double
ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */
ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */
two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */
Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */
Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */
Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */
Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */
Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */
Lg7 = 1.479819860511658591e-01, /* 3FC2F112 DF3E5244 */
zero = 0.0;
INLINE STATIC const double
__log(double x)
{
double hfsq,f,s,z,R,w,t1,t2,dk;
int k,hx,i,j;
unsigned int lx;
EXTRACT_WORDS(hx,lx,x);
k=0;
if (hx < 0x00100000) /* x < 2**-1022 */
{
if (((hx&0x7fffffff)|lx)==0)
return -two54/zero; /* log(+-0)=-inf */
if (hx<0)
return (x-x)/zero; /* log(-#) = NaN */
k -= 54;
x *= two54; /* subnormal number, scale up x */
GET_HIGH_WORD(hx,x);
}
if (hx >= 0x7ff00000)
return x+x;
k += (hx>>20)-1023;
hx &= 0x000fffff;
i = (hx+0x95f64)&0x100000;
SET_HIGH_WORD(x,hx|(i^0x3ff00000)); /* normalize x or x/2 */
k += (i>>20);
f = x-1.0;
if((0x000fffff&(2+hx))<3) /* |f| < 2**-20 */
{
if(f==zero)
{
if(k==0)
return zero;
else
{
dk=(double)k;
return dk*ln2_hi+dk*ln2_lo;
}
}
R = f*f*(0.5-0.33333333333333333*f);
if(k==0)
return f-R;
else
{
dk=(double)k;
return dk*ln2_hi-((R-dk*ln2_lo)-f);
}
}
s = f/(2.0+f);
dk = (double)k;
z = s*s;
i = hx-0x6147a;
w = z*z;
j = 0x6b851-hx;
t1= w*(Lg2+w*(Lg4+w*Lg6));
t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
i |= j;
R = t2+t1;
if(i>0)
{
hfsq=0.5*f*f;
if(k==0)
return f-(hfsq-s*(hfsq+R));
else
return dk*ln2_hi-((hfsq-(s*(hfsq+R)+dk*ln2_lo))-f);
}
else
{
if(k==0)
return f-s*(f-R);
else
return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
}
}
#endif /* PPC_FLOATING_POINT_SUPPORT */
/****************************************************************************/
double
log(double x)
{
double result;
if(x > DBL_EPSILON)
{
result = __log(x);
}
else
{
__set_errno(ERANGE);
result = -__inf();
}
return(result);
}
/****************************************************************************/
#endif /* FLOATING_POINT_SUPPORT */