mirror of
https://github.com/adtools/clib2.git
synced 2025-12-08 14:59:05 +00:00
- Ported cosf(), coshf(), sinf(), sinhf(), tanf(), tanhf()
and hypotf() for C99. git-svn-id: file:///Users/olsen/Code/migration-svn-zu-git/logical-line-staging/clib2/trunk@14964 87f5fb63-7c3d-0410-a384-fd976d0f7a62
This commit is contained in:
Olaf Barthel
@ -1,5 +1,5 @@
|
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#
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# $Id: GNUmakefile.68k,v 1.56 2005-05-29 14:45:28 obarthel Exp $
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# $Id: GNUmakefile.68k,v 1.57 2005-05-30 08:10:36 obarthel Exp $
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||||
#
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||||
# :ts=8
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#
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||||
@ -519,6 +519,9 @@ MATH_LIB = \
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||||
complex_creal.o \
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complex_crealf.o \
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complex_creall.o \
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math_coshf.o \
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math_sinhf.o \
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||||
math_tanhf.o \
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math_acos.o \
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math_acosf.o \
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math_asin.o \
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||||
@ -534,6 +537,7 @@ MATH_LIB = \
|
||||
math_copysign.o \
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||||
math_copysignf.o \
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||||
math_cos.o \
|
||||
math_cosf.o \
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math_cosh.o \
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||||
math_erf.o \
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||||
math_erfc.o \
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||||
@ -555,6 +559,7 @@ MATH_LIB = \
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||||
math_huge_val.o \
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||||
math_huge_valf.o \
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||||
math_hypot.o \
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||||
math_hypotf.o \
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math_ilogb.o \
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math_ilogbf.o \
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math_inf.o \
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||||
@ -562,6 +567,9 @@ MATH_LIB = \
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||||
math_init_exit.o \
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math_isfinite.o \
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math_isunordered.o \
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||||
math_kernel_cosf.o \
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math_kernel_sinf.o \
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math_kernel_tanf.o \
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math_ldexp.o \
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math_ldexpf.o \
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||||
math_log.o \
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||||
@ -580,16 +588,19 @@ MATH_LIB = \
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||||
math_nextafterf.o \
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||||
math_pow.o \
|
||||
math_powf.o \
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||||
math_rem_pio2f.o \
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||||
math_rint.o \
|
||||
math_rintf.o \
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||||
math_scalbn.o \
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math_scalbnf.o \
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||||
math_signbit.o \
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||||
math_sin.o \
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math_sinf.o \
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math_sinh.o \
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math_sqrt.o \
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||||
math_sqrtf.o \
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||||
math_tan.o \
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math_tanf.o \
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||||
math_tanh.o \
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stdio_asprintf.o \
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||||
stdio_flush.o \
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||||
|
||||
@ -1,5 +1,5 @@
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||||
#
|
||||
# $Id: GNUmakefile.os4,v 1.60 2005-05-29 14:45:29 obarthel Exp $
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||||
# $Id: GNUmakefile.os4,v 1.61 2005-05-30 08:10:37 obarthel Exp $
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||||
#
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||||
# :ts=8
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#
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||||
@ -519,6 +519,9 @@ MATH_LIB = \
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||||
complex_creal.o \
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||||
complex_crealf.o \
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||||
complex_creall.o \
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||||
math_coshf.o \
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||||
math_sinhf.o \
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||||
math_tanhf.o \
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||||
math_acos.o \
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||||
math_acosf.o \
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math_asin.o \
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||||
@ -534,6 +537,7 @@ MATH_LIB = \
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||||
math_copysign.o \
|
||||
math_copysignf.o \
|
||||
math_cos.o \
|
||||
math_cosf.o \
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||||
math_cosh.o \
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||||
math_erf.o \
|
||||
math_erfc.o \
|
||||
@ -555,6 +559,7 @@ MATH_LIB = \
|
||||
math_huge_val.o \
|
||||
math_huge_valf.o \
|
||||
math_hypot.o \
|
||||
math_hypotf.o \
|
||||
math_ilogb.o \
|
||||
math_ilogbf.o \
|
||||
math_inf.o \
|
||||
@ -563,11 +568,14 @@ MATH_LIB = \
|
||||
math_isfinite.o \
|
||||
math_isunordered.o \
|
||||
math_kernel_cos.o \
|
||||
math_kernel_cosf.o \
|
||||
math_kernel_expm1.o \
|
||||
math_kernel_rem_pio2.o \
|
||||
math_kernel_scalbn.o \
|
||||
math_kernel_sin.o \
|
||||
math_kernel_sinf.o \
|
||||
math_kernel_tan.o \
|
||||
math_kernel_tanf.o \
|
||||
math_ldexp.o \
|
||||
math_ldexpf.o \
|
||||
math_log.o \
|
||||
@ -586,16 +594,19 @@ MATH_LIB = \
|
||||
math_nextafterf.o \
|
||||
math_pow.o \
|
||||
math_powf.o \
|
||||
math_rem_pio2f.o \
|
||||
math_rint.o \
|
||||
math_rintf.o \
|
||||
math_scalbn.o \
|
||||
math_scalbnf.o \
|
||||
math_signbit.o \
|
||||
math_sin.o \
|
||||
math_sinf.o \
|
||||
math_sinh.o \
|
||||
math_sqrt.o \
|
||||
math_sqrtf.o \
|
||||
math_tan.o \
|
||||
math_tanf.o \
|
||||
math_tanh.o \
|
||||
stdio_asprintf.o \
|
||||
stdio_flush.o \
|
||||
|
||||
10
library/TODO
10
library/TODO
@ -1,11 +1,5 @@
|
||||
C99 math functions:
|
||||
|
||||
("float"-versions of existing "double" functions)
|
||||
cosf
|
||||
hypotf
|
||||
sinf
|
||||
tanf
|
||||
|
||||
(functions generally missing, including their "float" counterparts)
|
||||
acosh
|
||||
acoshf
|
||||
@ -33,10 +27,6 @@ C99 math functions:
|
||||
remquof
|
||||
round
|
||||
roundf
|
||||
sinh
|
||||
sinhf
|
||||
tanh
|
||||
tanhf
|
||||
tgamma
|
||||
tgammaf
|
||||
trunc
|
||||
|
||||
@ -70,6 +70,8 @@
|
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- Ported cbrt(), cbrtf(), erf(), erff(), erfc(), erfcf(), expm1(),
|
||||
expm1f(), ilogb(), ilogbf(), log1p() and log1pf() for C99.
|
||||
|
||||
- Ported cosf(), coshf(), sinf(), sinhf(), tanf(), tanhf()
|
||||
and hypotf() for C99.
|
||||
|
||||
|
||||
c.lib 1.192 (12.5.2005)
|
||||
|
||||
@ -1,5 +1,5 @@
|
||||
/*
|
||||
* $Id: math.h,v 1.13 2005-05-29 14:45:33 obarthel Exp $
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||||
* $Id: math.h,v 1.14 2005-05-30 08:10:41 obarthel Exp $
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||||
*
|
||||
* :ts=4
|
||||
*
|
||||
@ -101,13 +101,6 @@ extern double tanh(double x);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern double rint(double x);
|
||||
extern float rintf(float x);
|
||||
extern double logb(double x);
|
||||
extern double hypot(double x,double y);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
/* The following is not part of the ISO 'C' (1994) standard, but it should
|
||||
be part of ISO/IEC 9899:1999, also known as "C99". */
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||||
|
||||
@ -229,86 +222,74 @@ extern float asinf(float x);
|
||||
extern float atanf(float x);
|
||||
extern float atan2f(float y, float x);
|
||||
extern float ceilf(float x);
|
||||
|
||||
|
||||
extern float cosf(float x);
|
||||
extern float coshf(float x);
|
||||
extern float expf(float x);
|
||||
extern float fabsf(float x);
|
||||
extern float floorf(float x);
|
||||
extern float fmodf(float x, float y);
|
||||
extern float frexpf(float x, int *eptr);
|
||||
extern float ldexp(float x,int exp);
|
||||
extern float ldexpf(float x,int exp);
|
||||
extern float logf(float x);
|
||||
extern float log10f(float x);
|
||||
extern float logbf(float x);
|
||||
extern float modff(float x, float *iptr);
|
||||
extern float powf(float x, float y);
|
||||
extern float sinf(float x);
|
||||
extern float sinhf(float x);
|
||||
extern float sqrtf(float x);
|
||||
extern float tanf(float x);
|
||||
extern float tanhf(float x);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern float logbf(float x);
|
||||
extern double logb(double x);
|
||||
|
||||
extern float hypotf(float x, float y);
|
||||
extern double hypot(double x,double y);
|
||||
|
||||
extern float nanf(const char *tagp);
|
||||
extern double nan(const char *tagp);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern float nextafterf(float x,float y);
|
||||
extern double nextafter(double x,double y);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern float copysignf(float x, float y);
|
||||
extern double copysign(double x, double y);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern float fdimf(float x,float y);
|
||||
extern double fdim(double x,double y);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern float fminf(float x,float y);
|
||||
extern double fmin(double x,double y);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern float fmaxf(float x,float y);
|
||||
extern double fmax(double x,double y);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern float scalbnf (float x, int n);
|
||||
extern double scalbn (double x, int n);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern float cbrtf(float x);
|
||||
extern double cbrt(double x);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern float erff(float x);
|
||||
extern double erf(double x);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern float erfcf(float x);
|
||||
extern double erfc(double x);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern float expm1f(float x);
|
||||
extern double expm1(double x);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern int ilogbf(float x);
|
||||
extern int ilogb(double x);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
extern float log1pf(float x);
|
||||
extern double log1p(double x);
|
||||
|
||||
extern float rintf(float x);
|
||||
extern double rint(double x);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
#define FLT_EVAL_METHOD 0
|
||||
|
||||
@ -1,5 +1,5 @@
|
||||
/*
|
||||
* $Id: math_atan2f.c,v 1.2 2005-05-29 14:45:29 obarthel Exp $
|
||||
* $Id: math_atan2f.c,v 1.3 2005-05-30 08:10:37 obarthel Exp $
|
||||
*
|
||||
* :ts=4
|
||||
*
|
||||
@ -125,7 +125,7 @@ atan2f(float y, float x)
|
||||
switch (m) {
|
||||
case 0: return z ; /* atan(+,+) */
|
||||
case 1: {
|
||||
__uint32_t zh;
|
||||
ULONG zh;
|
||||
GET_FLOAT_WORD(zh,z);
|
||||
SET_FLOAT_WORD(z,zh ^ 0x80000000U);
|
||||
}
|
||||
|
||||
@ -1,5 +1,5 @@
|
||||
/*
|
||||
* $Id: math_cosf.c,v 1.1 2005-05-29 11:19:00 obarthel Exp $
|
||||
* $Id: math_cosf.c,v 1.2 2005-05-30 08:10:37 obarthel Exp $
|
||||
*
|
||||
* :ts=4
|
||||
*
|
||||
@ -29,6 +29,18 @@
|
||||
* 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
|
||||
@ -41,11 +53,34 @@
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
static const float one=1.0;
|
||||
|
||||
float
|
||||
cosf(float x)
|
||||
{
|
||||
/* ZZZ unimplemented */
|
||||
return(0);
|
||||
float y[2],z=0.0;
|
||||
LONG n,ix;
|
||||
|
||||
GET_FLOAT_WORD(ix,x);
|
||||
|
||||
/* |x| ~< pi/4 */
|
||||
ix &= 0x7fffffff;
|
||||
if(ix <= 0x3f490fd8) return __kernel_cosf(x,z);
|
||||
|
||||
/* cos(Inf or NaN) is NaN */
|
||||
else if (ix>=0x7f800000) return x-x;
|
||||
|
||||
/* argument reduction needed */
|
||||
else {
|
||||
n = __rem_pio2f(x,y);
|
||||
switch(n&3) {
|
||||
case 0: return __kernel_cosf(y[0],y[1]);
|
||||
case 1: return -__kernel_sinf(y[0],y[1],1);
|
||||
case 2: return -__kernel_cosf(y[0],y[1]);
|
||||
default:
|
||||
return __kernel_sinf(y[0],y[1],1);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
@ -1,5 +1,5 @@
|
||||
/*
|
||||
* $Id: math_coshf.c,v 1.1 2005-05-29 11:19:00 obarthel Exp $
|
||||
* $Id: math_coshf.c,v 1.2 2005-05-30 08:10:37 obarthel Exp $
|
||||
*
|
||||
* :ts=4
|
||||
*
|
||||
@ -29,6 +29,18 @@
|
||||
* 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
|
||||
@ -41,11 +53,46 @@
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
static const float one = 1.0, half=0.5, huge = 1.0e30;
|
||||
|
||||
float
|
||||
coshf(float x)
|
||||
{
|
||||
/* ZZZ unimplemented */
|
||||
return(0);
|
||||
float t,w;
|
||||
LONG ix;
|
||||
|
||||
GET_FLOAT_WORD(ix,x);
|
||||
ix &= 0x7fffffff;
|
||||
|
||||
/* x is INF or NaN */
|
||||
if(ix>=0x7f800000) return x*x;
|
||||
|
||||
/* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
|
||||
if(ix<0x3eb17218) {
|
||||
t = expm1f(fabsf(x));
|
||||
w = one+t;
|
||||
if (ix<0x24000000) return w; /* cosh(tiny) = 1 */
|
||||
return one+(t*t)/(w+w);
|
||||
}
|
||||
|
||||
/* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
|
||||
if (ix < 0x41b00000) {
|
||||
t = expf(fabsf(x));
|
||||
return half*t+half/t;
|
||||
}
|
||||
|
||||
/* |x| in [22, log(maxdouble)] return half*exp(|x|) */
|
||||
if (ix < 0x42b17180) return half*expf(fabsf(x));
|
||||
|
||||
/* |x| in [log(maxdouble), overflowthresold] */
|
||||
if (ix<=0x42b2d4fc) {
|
||||
w = expf(half*fabsf(x));
|
||||
t = half*w;
|
||||
return t*w;
|
||||
}
|
||||
|
||||
/* |x| > overflowthresold, cosh(x) overflow */
|
||||
return huge*huge;
|
||||
}
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
@ -1,5 +1,5 @@
|
||||
/*
|
||||
* $Id: math_erf.c,v 1.2 2005-05-29 14:45:29 obarthel Exp $
|
||||
* $Id: math_erf.c,v 1.3 2005-05-30 08:10:37 obarthel Exp $
|
||||
*
|
||||
* :ts=4
|
||||
*
|
||||
@ -133,7 +133,7 @@ erf(double x)
|
||||
GET_HIGH_WORD(hx,x);
|
||||
ix = hx&0x7fffffff;
|
||||
if(ix>=0x7ff00000) { /* erf(nan)=nan */
|
||||
i = ((__uint32_t)hx>>31)<<1;
|
||||
i = ((ULONG)hx>>31)<<1;
|
||||
return (double)(1-i)+one/x; /* erf(+-inf)=+-1 */
|
||||
}
|
||||
|
||||
|
||||
@ -1,5 +1,5 @@
|
||||
/*
|
||||
* $Id: math_headers.h,v 1.10 2005-05-12 13:21:43 obarthel Exp $
|
||||
* $Id: math_headers.h,v 1.11 2005-05-30 08:10:37 obarthel Exp $
|
||||
*
|
||||
* :ts=4
|
||||
*
|
||||
@ -210,16 +210,16 @@ do { \
|
||||
(d) = sf_u.value; \
|
||||
} while (0)
|
||||
|
||||
#if defined(PPC_FLOATING_POINT_SUPPORT)
|
||||
|
||||
extern double __kernel_cos(double x, double y);
|
||||
extern double __kernel_sin(double x, double y, int iy);
|
||||
extern int __rem_pio2(double x, double *y);
|
||||
extern double __kernel_tan(double x, double y, int iy);
|
||||
extern double __expm1(double x);
|
||||
extern double __scalbn(double x, int n);
|
||||
|
||||
#endif /* PPC_FLOATING_POINT_SUPPORT */
|
||||
extern float __kernel_cosf(float x, float y);
|
||||
extern float __kernel_sinf(float x, float y, int iy);
|
||||
extern LONG __rem_pio2f(float x, float *y);
|
||||
extern float __kernel_tanf(float x, float y, int iy);
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
|
||||
@ -1,5 +1,5 @@
|
||||
/*
|
||||
* $Id: math_hypotf.c,v 1.1 2005-05-29 11:19:01 obarthel Exp $
|
||||
* $Id: math_hypotf.c,v 1.2 2005-05-30 08:10:38 obarthel Exp $
|
||||
*
|
||||
* :ts=4
|
||||
*
|
||||
@ -29,6 +29,18 @@
|
||||
* 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
|
||||
@ -41,11 +53,42 @@
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
#define SQRT_FLT_MAX 1.84467429742e+19 /* 0x5f7fffff */
|
||||
|
||||
float
|
||||
hypotf(float x,float y)
|
||||
hypotf(float x, float y)
|
||||
{
|
||||
/* ZZZ unimplemented */
|
||||
return(0);
|
||||
float a=x,b=y,t1,t2,w;
|
||||
LONG j,ha,hb;
|
||||
|
||||
if (isunordered(x,y))
|
||||
return (x-x)/(y-y);
|
||||
if (!isfinite(x) || !isfinite(y)) {
|
||||
__set_errno(ERANGE);
|
||||
return __get_huge_valf();
|
||||
}
|
||||
|
||||
GET_FLOAT_WORD(ha,x);
|
||||
ha &= 0x7fffffff;
|
||||
GET_FLOAT_WORD(hb,y);
|
||||
hb &= 0x7fffffff;
|
||||
if(hb < ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
|
||||
SET_FLOAT_WORD(a,ha); /* a <- |a| */
|
||||
SET_FLOAT_WORD(b,hb); /* b <- |b| */
|
||||
t1 = (a > 0) ? (a/b) : 0;
|
||||
if ((t1 >= SQRT_FLT_MAX) && isfinite(x) && isfinite(y)) {
|
||||
__set_errno(ERANGE);
|
||||
return __get_huge_valf();
|
||||
}
|
||||
t1 *= t1;
|
||||
t2 = sqrtf(++t1);
|
||||
if ((t2 > 1) && (b >= FLT_MAX)) {
|
||||
__set_errno(ERANGE);
|
||||
return __get_huge_valf();
|
||||
}
|
||||
w = t2 * b;
|
||||
|
||||
return w;
|
||||
}
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
94
library/math_kernel_cosf.c
Normal file
94
library/math_kernel_cosf.c
Normal file
@ -0,0 +1,94 @@
|
||||
/*
|
||||
* $Id: math_kernel_cosf.c,v 1.1 2005-05-30 08:10:38 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.
|
||||
*
|
||||
*
|
||||
* 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 = 1.0000000000e+00, /* 0x3f800000 */
|
||||
C1 = 4.1666667908e-02, /* 0x3d2aaaab */
|
||||
C2 = -1.3888889225e-03, /* 0xbab60b61 */
|
||||
C3 = 2.4801587642e-05, /* 0x37d00d01 */
|
||||
C4 = -2.7557314297e-07, /* 0xb493f27c */
|
||||
C5 = 2.0875723372e-09, /* 0x310f74f6 */
|
||||
C6 = -1.1359647598e-11; /* 0xad47d74e */
|
||||
|
||||
float
|
||||
__kernel_cosf(float x, float y)
|
||||
{
|
||||
volatile float hz; /* prevent optimizing out of existence */
|
||||
float a,z,r,qx;
|
||||
LONG ix;
|
||||
GET_FLOAT_WORD(ix,x);
|
||||
ix &= 0x7fffffff; /* ix = |x|'s high word*/
|
||||
if(ix<0x32000000) { /* if x < 2**27 */
|
||||
if(((int)x)==0) return one; /* generate inexact */
|
||||
}
|
||||
z = x*x;
|
||||
r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6)))));
|
||||
if(ix < 0x3e99999a) /* if |x| < 0.3 */
|
||||
return one - ((float)0.5*z - (z*r - x*y));
|
||||
else {
|
||||
if(ix > 0x3f480000) { /* x > 0.78125 */
|
||||
qx = (float)0.28125;
|
||||
} else {
|
||||
SET_FLOAT_WORD(qx,ix-0x01000000); /* x/4 */
|
||||
}
|
||||
hz = (float)0.5*z-qx;
|
||||
a = one-qx;
|
||||
return a - (hz - (z*r-x*y));
|
||||
}
|
||||
}
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
#endif /* FLOATING_POINT_SUPPORT */
|
||||
83
library/math_kernel_sinf.c
Normal file
83
library/math_kernel_sinf.c
Normal file
@ -0,0 +1,83 @@
|
||||
/*
|
||||
* $Id: math_kernel_sinf.c,v 1.1 2005-05-30 08:10:38 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.
|
||||
*
|
||||
*
|
||||
* 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
|
||||
half = 5.0000000000e-01,/* 0x3f000000 */
|
||||
S1 = -1.6666667163e-01, /* 0xbe2aaaab */
|
||||
S2 = 8.3333337680e-03, /* 0x3c088889 */
|
||||
S3 = -1.9841270114e-04, /* 0xb9500d01 */
|
||||
S4 = 2.7557314297e-06, /* 0x3638ef1b */
|
||||
S5 = -2.5050759689e-08, /* 0xb2d72f34 */
|
||||
S6 = 1.5896910177e-10; /* 0x2f2ec9d3 */
|
||||
|
||||
float
|
||||
__kernel_sinf(float x, float y, int iy)
|
||||
{
|
||||
float z,r,v;
|
||||
LONG ix;
|
||||
GET_FLOAT_WORD(ix,x);
|
||||
ix &= 0x7fffffff; /* high word of x */
|
||||
if(ix<0x32000000) /* |x| < 2**-27 */
|
||||
{if((int)x==0) return x;} /* generate inexact */
|
||||
z = x*x;
|
||||
v = z*x;
|
||||
r = S2+z*(S3+z*(S4+z*(S5+z*S6)));
|
||||
if(iy==0) return x+v*(S1+z*r);
|
||||
else return x-((z*(half*y-v*r)-y)-v*S1);
|
||||
}
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
#endif /* FLOATING_POINT_SUPPORT */
|
||||
131
library/math_kernel_tanf.c
Normal file
131
library/math_kernel_tanf.c
Normal file
@ -0,0 +1,131 @@
|
||||
/*
|
||||
* $Id: math_kernel_tanf.c,v 1.1 2005-05-30 08:10:38 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.
|
||||
*
|
||||
*
|
||||
* 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 = 1.0000000000e+00, /* 0x3f800000 */
|
||||
pio4 = 7.8539812565e-01, /* 0x3f490fda */
|
||||
pio4lo= 3.7748947079e-08, /* 0x33222168 */
|
||||
T[] = {
|
||||
3.3333334327e-01, /* 0x3eaaaaab */
|
||||
1.3333334029e-01, /* 0x3e088889 */
|
||||
5.3968254477e-02, /* 0x3d5d0dd1 */
|
||||
2.1869488060e-02, /* 0x3cb327a4 */
|
||||
8.8632395491e-03, /* 0x3c11371f */
|
||||
3.5920790397e-03, /* 0x3b6b6916 */
|
||||
1.4562094584e-03, /* 0x3abede48 */
|
||||
5.8804126456e-04, /* 0x3a1a26c8 */
|
||||
2.4646313977e-04, /* 0x398137b9 */
|
||||
7.8179444245e-05, /* 0x38a3f445 */
|
||||
7.1407252108e-05, /* 0x3895c07a */
|
||||
-1.8558637748e-05, /* 0xb79bae5f */
|
||||
2.5907305826e-05, /* 0x37d95384 */
|
||||
};
|
||||
|
||||
float
|
||||
__kernel_tanf(float x, float y, int iy)
|
||||
{
|
||||
float z,r,v,w,s;
|
||||
LONG ix,hx;
|
||||
GET_FLOAT_WORD(hx,x);
|
||||
ix = hx&0x7fffffff; /* high word of |x| */
|
||||
if(ix<0x31800000) /* x < 2**-28 */
|
||||
{if((int)x==0) { /* generate inexact */
|
||||
if((ix|(iy+1))==0) return one/fabsf(x);
|
||||
else return (iy==1)? x: -one/x;
|
||||
}
|
||||
}
|
||||
if(ix>=0x3f2ca140) { /* |x|>=0.6744 */
|
||||
if(hx<0) {x = -x; y = -y;}
|
||||
z = pio4-x;
|
||||
w = pio4lo-y;
|
||||
x = z+w; y = 0.0;
|
||||
}
|
||||
z = x*x;
|
||||
w = z*z;
|
||||
/* Break x^5*(T[1]+x^2*T[2]+...) into
|
||||
* x^5(T[1]+x^4*T[3]+...+x^20*T[11]) +
|
||||
* x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12]))
|
||||
*/
|
||||
r = T[1]+w*(T[3]+w*(T[5]+w*(T[7]+w*(T[9]+w*T[11]))));
|
||||
v = z*(T[2]+w*(T[4]+w*(T[6]+w*(T[8]+w*(T[10]+w*T[12])))));
|
||||
s = z*x;
|
||||
r = y + z*(s*(r+v)+y);
|
||||
r += T[0]*s;
|
||||
w = x+r;
|
||||
if(ix>=0x3f2ca140) {
|
||||
v = (float)iy;
|
||||
return (float)(1-((hx>>30)&2))*(v-(float)2.0*(x-(w*w/(w+v)-r)));
|
||||
}
|
||||
if(iy==1) return w;
|
||||
else { /* if allow error up to 2 ulp,
|
||||
simply return -1.0/(x+r) here */
|
||||
/* compute -1.0/(x+r) accurately */
|
||||
float a,t;
|
||||
LONG i;
|
||||
z = w;
|
||||
GET_FLOAT_WORD(i,z);
|
||||
SET_FLOAT_WORD(z,i&0xfffff000U);
|
||||
v = r-(z - x); /* z+v = r+x */
|
||||
t = a = -(float)1.0/w; /* a = -1.0/w */
|
||||
GET_FLOAT_WORD(i,t);
|
||||
SET_FLOAT_WORD(t,i&0xfffff000U);
|
||||
s = (float)1.0+t*z;
|
||||
return t+a*(s+t*v);
|
||||
}
|
||||
}
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
#endif /* FLOATING_POINT_SUPPORT */
|
||||
389
library/math_rem_pio2f.c
Executable file
389
library/math_rem_pio2f.c
Executable file
@ -0,0 +1,389 @@
|
||||
/*
|
||||
* $Id: math_rem_pio2f.c,v 1.1 2005-05-30 08:10:38 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.
|
||||
*
|
||||
*
|
||||
* 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)
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
/* In the float version, the input parameter x contains 8 bit
|
||||
integers, not 24 bit integers. 113 bit precision is not supported. */
|
||||
|
||||
static const int init_jk[] = {4,7,9}; /* initial value for jk */
|
||||
|
||||
static const float PIo2[] = {
|
||||
1.5703125000e+00, /* 0x3fc90000 */
|
||||
4.5776367188e-04, /* 0x39f00000 */
|
||||
2.5987625122e-05, /* 0x37da0000 */
|
||||
7.5437128544e-08, /* 0x33a20000 */
|
||||
6.0026650317e-11, /* 0x2e840000 */
|
||||
7.3896444519e-13, /* 0x2b500000 */
|
||||
5.3845816694e-15, /* 0x27c20000 */
|
||||
5.6378512969e-18, /* 0x22d00000 */
|
||||
8.3009228831e-20, /* 0x1fc40000 */
|
||||
3.2756352257e-22, /* 0x1bc60000 */
|
||||
6.3331015649e-25, /* 0x17440000 */
|
||||
};
|
||||
|
||||
static const float
|
||||
zero = 0.0,
|
||||
one = 1.0,
|
||||
two8 = 2.5600000000e+02, /* 0x43800000 */
|
||||
twon8 = 3.9062500000e-03; /* 0x3b800000 */
|
||||
|
||||
static int
|
||||
__kernel_rem_pio2f(float *x, float *y, int e0, int nx, int prec, const LONG *ipio2)
|
||||
{
|
||||
LONG jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
|
||||
float z,fw,f[20],fq[20],q[20];
|
||||
|
||||
/* initialize jk*/
|
||||
jk = init_jk[prec];
|
||||
jp = jk;
|
||||
|
||||
/* determine jx,jv,q0, note that 3>q0 */
|
||||
jx = nx-1;
|
||||
jv = (e0-3)/8; if(jv<0) jv=0;
|
||||
q0 = e0-8*(jv+1);
|
||||
|
||||
/* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */
|
||||
j = jv-jx; m = jx+jk;
|
||||
for(i=0;i<=m;i++,j++) f[i] = (j<0)? zero : (float) ipio2[j];
|
||||
|
||||
/* compute q[0],q[1],...q[jk] */
|
||||
for (i=0;i<=jk;i++) {
|
||||
for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; q[i] = fw;
|
||||
}
|
||||
|
||||
jz = jk;
|
||||
recompute:
|
||||
/* distill q[] into iq[] reversingly */
|
||||
for(i=0,j=jz,z=q[jz];j>0;i++,j--) {
|
||||
fw = (float)((LONG)(twon8* z));
|
||||
iq[i] = (LONG)(z-two8*fw);
|
||||
z = q[j-1]+fw;
|
||||
}
|
||||
|
||||
/* compute n */
|
||||
z = scalbnf(z,(int)q0); /* actual value of z */
|
||||
z -= (float)8.0*floorf(z*(float)0.125); /* trim off integer >= 8 */
|
||||
n = (LONG) z;
|
||||
z -= (float)n;
|
||||
ih = 0;
|
||||
if(q0>0) { /* need iq[jz-1] to determine n */
|
||||
i = (iq[jz-1]>>(8-q0)); n += i;
|
||||
iq[jz-1] -= i<<(8-q0);
|
||||
ih = iq[jz-1]>>(7-q0);
|
||||
}
|
||||
else if(q0==0) ih = iq[jz-1]>>8;
|
||||
else if(z>=(float)0.5) ih=2;
|
||||
|
||||
if(ih>0) { /* q > 0.5 */
|
||||
n += 1; carry = 0;
|
||||
for(i=0;i<jz ;i++) { /* compute 1-q */
|
||||
j = iq[i];
|
||||
if(carry==0) {
|
||||
if(j!=0) {
|
||||
carry = 1; iq[i] = 0x100- j;
|
||||
}
|
||||
} else iq[i] = 0xff - j;
|
||||
}
|
||||
if(q0>0) { /* rare case: chance is 1 in 12 */
|
||||
switch(q0) {
|
||||
case 1:
|
||||
iq[jz-1] &= 0x7f; break;
|
||||
case 2:
|
||||
iq[jz-1] &= 0x3f; break;
|
||||
}
|
||||
}
|
||||
if(ih==2) {
|
||||
z = one - z;
|
||||
if(carry!=0) z -= scalbnf(one,(int)q0);
|
||||
}
|
||||
}
|
||||
|
||||
/* check if recomputation is needed */
|
||||
if(z==zero) {
|
||||
j = 0;
|
||||
for (i=jz-1;i>=jk;i--) j |= iq[i];
|
||||
if(j==0) { /* need recomputation */
|
||||
for(k=1;iq[jk-k]==0;k++); /* k = no. of terms needed */
|
||||
|
||||
for(i=jz+1;i<=jz+k;i++) { /* add q[jz+1] to q[jz+k] */
|
||||
f[jx+i] = (float) ipio2[jv+i];
|
||||
for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j];
|
||||
q[i] = fw;
|
||||
}
|
||||
jz += k;
|
||||
goto recompute;
|
||||
}
|
||||
}
|
||||
|
||||
/* chop off zero terms */
|
||||
if(z==(float)0.0) {
|
||||
jz -= 1; q0 -= 8;
|
||||
while(iq[jz]==0) { jz--; q0-=8;}
|
||||
} else { /* break z into 8-bit if necessary */
|
||||
z = scalbnf(z,-(int)q0);
|
||||
if(z>=two8) {
|
||||
fw = (float)((LONG)(twon8*z));
|
||||
iq[jz] = (LONG)(z-two8*fw);
|
||||
jz += 1; q0 += 8;
|
||||
iq[jz] = (LONG) fw;
|
||||
} else iq[jz] = (LONG) z ;
|
||||
}
|
||||
|
||||
/* convert integer "bit" chunk to floating-point value */
|
||||
fw = scalbnf(one,(int)q0);
|
||||
for(i=jz;i>=0;i--) {
|
||||
q[i] = fw*(float)iq[i]; fw*=twon8;
|
||||
}
|
||||
|
||||
/* compute PIo2[0,...,jp]*q[jz,...,0] */
|
||||
for(i=jz;i>=0;i--) {
|
||||
for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) fw += PIo2[k]*q[i+k];
|
||||
fq[jz-i] = fw;
|
||||
}
|
||||
|
||||
/* compress fq[] into y[] */
|
||||
switch(prec) {
|
||||
case 0:
|
||||
fw = 0.0;
|
||||
for (i=jz;i>=0;i--) fw += fq[i];
|
||||
y[0] = (ih==0)? fw: -fw;
|
||||
break;
|
||||
case 1:
|
||||
case 2:
|
||||
fw = 0.0;
|
||||
for (i=jz;i>=0;i--) fw += fq[i];
|
||||
y[0] = (ih==0)? fw: -fw;
|
||||
fw = fq[0]-fw;
|
||||
for (i=1;i<=jz;i++) fw += fq[i];
|
||||
y[1] = (ih==0)? fw: -fw;
|
||||
break;
|
||||
case 3: /* painful */
|
||||
for (i=jz;i>0;i--) {
|
||||
fw = fq[i-1]+fq[i];
|
||||
fq[i] += fq[i-1]-fw;
|
||||
fq[i-1] = fw;
|
||||
}
|
||||
for (i=jz;i>1;i--) {
|
||||
fw = fq[i-1]+fq[i];
|
||||
fq[i] += fq[i-1]-fw;
|
||||
fq[i-1] = fw;
|
||||
}
|
||||
for (fw=0.0,i=jz;i>=2;i--) fw += fq[i];
|
||||
if(ih==0) {
|
||||
y[0] = fq[0]; y[1] = fq[1]; y[2] = fw;
|
||||
} else {
|
||||
y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw;
|
||||
}
|
||||
}
|
||||
return n&7;
|
||||
}
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
/*
|
||||
* Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi
|
||||
*/
|
||||
static const LONG two_over_pi[] = {
|
||||
0xA2, 0xF9, 0x83, 0x6E, 0x4E, 0x44, 0x15, 0x29, 0xFC,
|
||||
0x27, 0x57, 0xD1, 0xF5, 0x34, 0xDD, 0xC0, 0xDB, 0x62,
|
||||
0x95, 0x99, 0x3C, 0x43, 0x90, 0x41, 0xFE, 0x51, 0x63,
|
||||
0xAB, 0xDE, 0xBB, 0xC5, 0x61, 0xB7, 0x24, 0x6E, 0x3A,
|
||||
0x42, 0x4D, 0xD2, 0xE0, 0x06, 0x49, 0x2E, 0xEA, 0x09,
|
||||
0xD1, 0x92, 0x1C, 0xFE, 0x1D, 0xEB, 0x1C, 0xB1, 0x29,
|
||||
0xA7, 0x3E, 0xE8, 0x82, 0x35, 0xF5, 0x2E, 0xBB, 0x44,
|
||||
0x84, 0xE9, 0x9C, 0x70, 0x26, 0xB4, 0x5F, 0x7E, 0x41,
|
||||
0x39, 0x91, 0xD6, 0x39, 0x83, 0x53, 0x39, 0xF4, 0x9C,
|
||||
0x84, 0x5F, 0x8B, 0xBD, 0xF9, 0x28, 0x3B, 0x1F, 0xF8,
|
||||
0x97, 0xFF, 0xDE, 0x05, 0x98, 0x0F, 0xEF, 0x2F, 0x11,
|
||||
0x8B, 0x5A, 0x0A, 0x6D, 0x1F, 0x6D, 0x36, 0x7E, 0xCF,
|
||||
0x27, 0xCB, 0x09, 0xB7, 0x4F, 0x46, 0x3F, 0x66, 0x9E,
|
||||
0x5F, 0xEA, 0x2D, 0x75, 0x27, 0xBA, 0xC7, 0xEB, 0xE5,
|
||||
0xF1, 0x7B, 0x3D, 0x07, 0x39, 0xF7, 0x8A, 0x52, 0x92,
|
||||
0xEA, 0x6B, 0xFB, 0x5F, 0xB1, 0x1F, 0x8D, 0x5D, 0x08,
|
||||
0x56, 0x03, 0x30, 0x46, 0xFC, 0x7B, 0x6B, 0xAB, 0xF0,
|
||||
0xCF, 0xBC, 0x20, 0x9A, 0xF4, 0x36, 0x1D, 0xA9, 0xE3,
|
||||
0x91, 0x61, 0x5E, 0xE6, 0x1B, 0x08, 0x65, 0x99, 0x85,
|
||||
0x5F, 0x14, 0xA0, 0x68, 0x40, 0x8D, 0xFF, 0xD8, 0x80,
|
||||
0x4D, 0x73, 0x27, 0x31, 0x06, 0x06, 0x15, 0x56, 0xCA,
|
||||
0x73, 0xA8, 0xC9, 0x60, 0xE2, 0x7B, 0xC0, 0x8C, 0x6B,
|
||||
};
|
||||
|
||||
/* This array is like the one in e_rem_pio2.c, but the numbers are
|
||||
single precision and the last 8 bits are forced to 0. */
|
||||
static const LONG npio2_hw[] = {
|
||||
0x3fc90f00, 0x40490f00, 0x4096cb00, 0x40c90f00, 0x40fb5300, 0x4116cb00,
|
||||
0x412fed00, 0x41490f00, 0x41623100, 0x417b5300, 0x418a3a00, 0x4196cb00,
|
||||
0x41a35c00, 0x41afed00, 0x41bc7e00, 0x41c90f00, 0x41d5a000, 0x41e23100,
|
||||
0x41eec200, 0x41fb5300, 0x4203f200, 0x420a3a00, 0x42108300, 0x4216cb00,
|
||||
0x421d1400, 0x42235c00, 0x4229a500, 0x422fed00, 0x42363600, 0x423c7e00,
|
||||
0x4242c700, 0x42490f00
|
||||
};
|
||||
|
||||
/*
|
||||
* invpio2: 24 bits of 2/pi
|
||||
* pio2_1: first 17 bit of pi/2
|
||||
* pio2_1t: pi/2 - pio2_1
|
||||
* pio2_2: second 17 bit of pi/2
|
||||
* pio2_2t: pi/2 - (pio2_1+pio2_2)
|
||||
* pio2_3: third 17 bit of pi/2
|
||||
* pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3)
|
||||
*/
|
||||
|
||||
static const float
|
||||
half = 5.0000000000e-01, /* 0x3f000000 */
|
||||
invpio2 = 6.3661980629e-01, /* 0x3f22f984 */
|
||||
pio2_1 = 1.5707855225e+00, /* 0x3fc90f80 */
|
||||
pio2_1t = 1.0804334124e-05, /* 0x37354443 */
|
||||
pio2_2 = 1.0804273188e-05, /* 0x37354400 */
|
||||
pio2_2t = 6.0770999344e-11, /* 0x2e85a308 */
|
||||
pio2_3 = 6.0770943833e-11, /* 0x2e85a300 */
|
||||
pio2_3t = 6.1232342629e-17; /* 0x248d3132 */
|
||||
|
||||
LONG
|
||||
__rem_pio2f(float x, float *y)
|
||||
{
|
||||
volatile float z,r; /* prevent optimizing out of existence */
|
||||
float w,t,fn;
|
||||
float tx[3];
|
||||
LONG i,j,n,ix,hx;
|
||||
int e0,nx;
|
||||
|
||||
GET_FLOAT_WORD(hx,x);
|
||||
ix = hx&0x7fffffff;
|
||||
if(ix<=0x3f490fd8) /* |x| ~<= pi/4 , no need for reduction */
|
||||
{y[0] = x; y[1] = 0; return 0;}
|
||||
if(ix<0x4016cbe4) { /* |x| < 3pi/4, special case with n=+-1 */
|
||||
if(hx>0) {
|
||||
z = x - pio2_1;
|
||||
if((ix&0xfffffff0U)!=0x3fc90fd0) { /* 24+24 bit pi OK */
|
||||
y[0] = z - pio2_1t;
|
||||
y[1] = (z-y[0])-pio2_1t;
|
||||
} else { /* near pi/2, use 24+24+24 bit pi */
|
||||
z -= pio2_2;
|
||||
y[0] = z - pio2_2t;
|
||||
y[1] = (z-y[0])-pio2_2t;
|
||||
}
|
||||
return 1;
|
||||
} else { /* negative x */
|
||||
z = x + pio2_1;
|
||||
if((ix&0xfffffff0U)!=0x3fc90fd0) { /* 24+24 bit pi OK */
|
||||
y[0] = z + pio2_1t;
|
||||
y[1] = (z-y[0])+pio2_1t;
|
||||
} else { /* near pi/2, use 24+24+24 bit pi */
|
||||
z += pio2_2;
|
||||
y[0] = z + pio2_2t;
|
||||
y[1] = (z-y[0])+pio2_2t;
|
||||
}
|
||||
return -1;
|
||||
}
|
||||
}
|
||||
if(ix<=0x43490f80) { /* |x| ~<= 2^7*(pi/2), medium size */
|
||||
t = fabsf(x);
|
||||
n = (LONG) (t*invpio2+half);
|
||||
fn = (float)n;
|
||||
r = t-fn*pio2_1;
|
||||
w = fn*pio2_1t; /* 1st round good to 40 bit */
|
||||
if(n<32&&((LONG)(ix&0xffffff00U))!=npio2_hw[n-1]) {
|
||||
y[0] = r-w; /* quick check no cancellation */
|
||||
} else {
|
||||
ULONG high;
|
||||
j = ix>>23;
|
||||
y[0] = r-w;
|
||||
GET_FLOAT_WORD(high,y[0]);
|
||||
i = j-((high>>23)&0xff);
|
||||
if(i>8) { /* 2nd iteration needed, good to 57 */
|
||||
t = r;
|
||||
w = fn*pio2_2;
|
||||
r = t-w;
|
||||
w = fn*pio2_2t-((t-r)-w);
|
||||
y[0] = r-w;
|
||||
GET_FLOAT_WORD(high,y[0]);
|
||||
i = j-((high>>23)&0xff);
|
||||
if(i>25) { /* 3rd iteration need, 74 bits acc */
|
||||
t = r; /* will cover all possible cases */
|
||||
w = fn*pio2_3;
|
||||
r = t-w;
|
||||
w = fn*pio2_3t-((t-r)-w);
|
||||
y[0] = r-w;
|
||||
}
|
||||
}
|
||||
}
|
||||
y[1] = (r-y[0])-w;
|
||||
if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
|
||||
else return n;
|
||||
}
|
||||
/*
|
||||
* all other (large) arguments
|
||||
*/
|
||||
if(ix>=0x7f800000) { /* x is inf or NaN */
|
||||
y[0]=y[1]=x-x; return 0;
|
||||
}
|
||||
/* set z = scalbn(|x|,ilogb(x)-7) */
|
||||
e0 = (int)((ix>>23)-134); /* e0 = ilogb(z)-7; */
|
||||
SET_FLOAT_WORD(z, ix - ((LONG)e0<<23));
|
||||
for(i=0;i<2;i++) {
|
||||
tx[i] = (float)((LONG)(z));
|
||||
z = (z-tx[i])*two8;
|
||||
}
|
||||
tx[2] = z;
|
||||
nx = 3;
|
||||
while(tx[nx-1]==zero) nx--; /* skip zero term */
|
||||
n = __kernel_rem_pio2f(tx,y,e0,nx,2,two_over_pi);
|
||||
if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
|
||||
return n;
|
||||
}
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
#endif /* FLOATING_POINT_SUPPORT */
|
||||
@ -1,5 +1,5 @@
|
||||
/*
|
||||
* $Id: math_sinf.c,v 1.1 2005-05-29 11:19:01 obarthel Exp $
|
||||
* $Id: math_sinf.c,v 1.2 2005-05-30 08:10:38 obarthel Exp $
|
||||
*
|
||||
* :ts=4
|
||||
*
|
||||
@ -29,6 +29,18 @@
|
||||
* 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
|
||||
@ -44,8 +56,29 @@
|
||||
float
|
||||
sinf(float x)
|
||||
{
|
||||
/* ZZZ unimplemented */
|
||||
return(0);
|
||||
float y[2],z=0.0;
|
||||
LONG n,ix;
|
||||
|
||||
GET_FLOAT_WORD(ix,x);
|
||||
|
||||
/* |x| ~< pi/4 */
|
||||
ix &= 0x7fffffff;
|
||||
if(ix <= 0x3f490fd8) return __kernel_sinf(x,z,0);
|
||||
|
||||
/* sin(Inf or NaN) is NaN */
|
||||
else if (ix>=0x7f800000) return x-x;
|
||||
|
||||
/* argument reduction needed */
|
||||
else {
|
||||
n = __rem_pio2f(x,y);
|
||||
switch(n&3) {
|
||||
case 0: return __kernel_sinf(y[0],y[1],1);
|
||||
case 1: return __kernel_cosf(y[0],y[1]);
|
||||
case 2: return -__kernel_sinf(y[0],y[1],1);
|
||||
default:
|
||||
return -__kernel_cosf(y[0],y[1]);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
@ -1,5 +1,5 @@
|
||||
/*
|
||||
* $Id: math_sinhf.c,v 1.1 2005-05-29 11:19:01 obarthel Exp $
|
||||
* $Id: math_sinhf.c,v 1.2 2005-05-30 08:10:38 obarthel Exp $
|
||||
*
|
||||
* :ts=4
|
||||
*
|
||||
@ -29,6 +29,18 @@
|
||||
* 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
|
||||
@ -41,11 +53,43 @@
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
static const float one = 1.0, shuge = 1.0e37;
|
||||
|
||||
float
|
||||
sinhf(float x)
|
||||
{
|
||||
/* ZZZ unimplemented */
|
||||
return(0);
|
||||
{
|
||||
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;
|
||||
}
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
@ -1,5 +1,5 @@
|
||||
/*
|
||||
* $Id: math_tanf.c,v 1.1 2005-05-29 11:19:01 obarthel Exp $
|
||||
* $Id: math_tanf.c,v 1.2 2005-05-30 08:10:38 obarthel Exp $
|
||||
*
|
||||
* :ts=4
|
||||
*
|
||||
@ -29,6 +29,18 @@
|
||||
* 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
|
||||
@ -44,8 +56,24 @@
|
||||
float
|
||||
tanf(float x)
|
||||
{
|
||||
/* ZZZ unimplemented */
|
||||
return(0);
|
||||
float y[2],z=0.0;
|
||||
LONG n,ix;
|
||||
|
||||
GET_FLOAT_WORD(ix,x);
|
||||
|
||||
/* |x| ~< pi/4 */
|
||||
ix &= 0x7fffffff;
|
||||
if(ix <= 0x3f490fda) return __kernel_tanf(x,z,1);
|
||||
|
||||
/* tan(Inf or NaN) is NaN */
|
||||
else if (ix>=0x7f800000) return x-x; /* NaN */
|
||||
|
||||
/* argument reduction needed */
|
||||
else {
|
||||
n = __rem_pio2f(x,y);
|
||||
return __kernel_tanf(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even
|
||||
-1 -- n odd */
|
||||
}
|
||||
}
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
@ -1,5 +1,5 @@
|
||||
/*
|
||||
* $Id: math_tanhf.c,v 1.1 2005-05-29 11:19:01 obarthel Exp $
|
||||
* $Id: math_tanhf.c,v 1.2 2005-05-30 08:10:38 obarthel Exp $
|
||||
*
|
||||
* :ts=4
|
||||
*
|
||||
@ -29,6 +29,18 @@
|
||||
* 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
|
||||
@ -41,11 +53,39 @@
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
static const float one=1.0, two=2.0, tiny = 1.0e-30;
|
||||
|
||||
float
|
||||
tanhf(float x)
|
||||
{
|
||||
/* ZZZ unimplemented */
|
||||
return(0);
|
||||
float t,z;
|
||||
LONG jx,ix;
|
||||
|
||||
GET_FLOAT_WORD(jx,x);
|
||||
ix = jx&0x7fffffff;
|
||||
|
||||
/* x is INF or NaN */
|
||||
if(ix>=0x7f800000) {
|
||||
if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */
|
||||
else return one/x-one; /* tanh(NaN) = NaN */
|
||||
}
|
||||
|
||||
/* |x| < 22 */
|
||||
if (ix < 0x41b00000) { /* |x|<22 */
|
||||
if (ix<0x24000000) /* |x|<2**-55 */
|
||||
return x*(one+x); /* tanh(small) = small */
|
||||
if (ix>=0x3f800000) { /* |x|>=1 */
|
||||
t = expm1f(two*fabsf(x));
|
||||
z = one - two/(t+two);
|
||||
} else {
|
||||
t = expm1f(-two*fabsf(x));
|
||||
z= -t/(t+two);
|
||||
}
|
||||
/* |x| > 22, return +-1 */
|
||||
} else {
|
||||
z = one - tiny; /* raised inexact flag */
|
||||
}
|
||||
return (jx>=0)? z: -z;
|
||||
}
|
||||
|
||||
/****************************************************************************/
|
||||
|
||||
Reference in New Issue
Block a user