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/* @(#)fdlibm.h 5.1 93/09/24 */
/*
* ====================================================
* 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.
* ====================================================
*/
/* CYGNUS LOCAL: Include files. */
#include <math.h>
#include <machine/ieeefp.h>
/* CYGNUS LOCAL: Default to XOPEN_MODE. */
#define _XOPEN_MODE
#ifdef __STDC__
#define __P(p) p
#else
#define __P(p) ()
#endif
#define HUGE ((float)3.40282346638528860e+38)
/*
* set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
* (one may replace the following line by "#include <values.h>")
*/
#define X_TLOSS 1.41484755040568800000e+16
/* Functions that are not documented, and are not in <math.h>. */
extern double logb __P((double));
#ifdef _SCALB_INT
extern double scalb __P((double, int));
#else
extern double scalb __P((double, double));
#endif
extern double significand __P((double));
/* ieee style elementary functions */
extern double __ieee754_sqrt __P((double));
extern double __ieee754_acos __P((double));
extern double __ieee754_acosh __P((double));
extern double __ieee754_log __P((double));
extern double __ieee754_atanh __P((double));
extern double __ieee754_asin __P((double));
extern double __ieee754_atan2 __P((double,double));
extern double __ieee754_exp __P((double));
extern double __ieee754_cosh __P((double));
extern double __ieee754_fmod __P((double,double));
extern double __ieee754_pow __P((double,double));
extern double __ieee754_lgamma_r __P((double,int *));
extern double __ieee754_gamma_r __P((double,int *));
extern double __ieee754_log10 __P((double));
extern double __ieee754_sinh __P((double));
extern double __ieee754_hypot __P((double,double));
extern double __ieee754_j0 __P((double));
extern double __ieee754_j1 __P((double));
extern double __ieee754_y0 __P((double));
extern double __ieee754_y1 __P((double));
extern double __ieee754_jn __P((int,double));
extern double __ieee754_yn __P((int,double));
extern double __ieee754_remainder __P((double,double));
extern __int32_t __ieee754_rem_pio2 __P((double,double*));
#ifdef _SCALB_INT
extern double __ieee754_scalb __P((double,int));
#else
extern double __ieee754_scalb __P((double,double));
#endif
/* fdlibm kernel function */
extern double __kernel_standard __P((double,double,int));
extern double __kernel_sin __P((double,double,int));
extern double __kernel_cos __P((double,double));
extern double __kernel_tan __P((double,double,int));
extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const __int32_t*));
/* Undocumented float functions. */
extern float logbf __P((float));
#ifdef _SCALB_INT
extern float scalbf __P((float, int));
#else
extern float scalbf __P((float, float));
#endif
extern float significandf __P((float));
/* ieee style elementary float functions */
extern float __ieee754_sqrtf __P((float));
extern float __ieee754_acosf __P((float));
extern float __ieee754_acoshf __P((float));
extern float __ieee754_logf __P((float));
extern float __ieee754_atanhf __P((float));
extern float __ieee754_asinf __P((float));
extern float __ieee754_atan2f __P((float,float));
extern float __ieee754_expf __P((float));
extern float __ieee754_coshf __P((float));
extern float __ieee754_fmodf __P((float,float));
extern float __ieee754_powf __P((float,float));
extern float __ieee754_lgammaf_r __P((float,int *));
extern float __ieee754_gammaf_r __P((float,int *));
extern float __ieee754_log10f __P((float));
extern float __ieee754_sinhf __P((float));
extern float __ieee754_hypotf __P((float,float));
extern float __ieee754_j0f __P((float));
extern float __ieee754_j1f __P((float));
extern float __ieee754_y0f __P((float));
extern float __ieee754_y1f __P((float));
extern float __ieee754_jnf __P((int,float));
extern float __ieee754_ynf __P((int,float));
extern float __ieee754_remainderf __P((float,float));
extern __int32_t __ieee754_rem_pio2f __P((float,float*));
#ifdef _SCALB_INT
extern float __ieee754_scalbf __P((float,int));
#else
extern float __ieee754_scalbf __P((float,float));
#endif
/* float versions of fdlibm kernel functions */
extern float __kernel_sinf __P((float,float,int));
extern float __kernel_cosf __P((float,float));
extern float __kernel_tanf __P((float,float,int));
extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const __int32_t*));
/* The original code used statements like
n0 = ((*(int*)&one)>>29)^1; * index of high word *
ix0 = *(n0+(int*)&x); * high word of x *
ix1 = *((1-n0)+(int*)&x); * low word of x *
to dig two 32 bit words out of the 64 bit IEEE floating point
value. That is non-ANSI, and, moreover, the gcc instruction
scheduler gets it wrong. We instead use the following macros.
Unlike the original code, we determine the endianness at compile
time, not at run time; I don't see much benefit to selecting
endianness at run time. */
#ifndef __IEEE_BIG_ENDIAN
#ifndef __IEEE_LITTLE_ENDIAN
#error Must define endianness
#endif
#endif
/* A union which permits us to convert between a double and two 32 bit
ints. */
#ifdef __IEEE_BIG_ENDIAN
typedef union
{
double value;
struct
{
__uint32_t msw;
__uint32_t lsw;
} parts;
} ieee_double_shape_type;
#endif
#ifdef __IEEE_LITTLE_ENDIAN
typedef union
{
double value;
struct
{
__uint32_t lsw;
__uint32_t msw;
} parts;
} ieee_double_shape_type;
#endif
/* Get two 32 bit ints from a double. */
#define EXTRACT_WORDS(ix0,ix1,d) \
do { \
ieee_double_shape_type ew_u; \
ew_u.value = (d); \
(ix0) = ew_u.parts.msw; \
(ix1) = ew_u.parts.lsw; \
} while (0)
/* Get the more significant 32 bit int from a double. */
#define GET_HIGH_WORD(i,d) \
do { \
ieee_double_shape_type gh_u; \
gh_u.value = (d); \
(i) = gh_u.parts.msw; \
} while (0)
/* Get the less significant 32 bit int from a double. */
#define GET_LOW_WORD(i,d) \
do { \
ieee_double_shape_type gl_u; \
gl_u.value = (d); \
(i) = gl_u.parts.lsw; \
} while (0)
/* Set a double from two 32 bit ints. */
#define INSERT_WORDS(d,ix0,ix1) \
do { \
ieee_double_shape_type iw_u; \
iw_u.parts.msw = (ix0); \
iw_u.parts.lsw = (ix1); \
(d) = iw_u.value; \
} while (0)
/* Set the more significant 32 bits of a double from an int. */
#define SET_HIGH_WORD(d,v) \
do { \
ieee_double_shape_type sh_u; \
sh_u.value = (d); \
sh_u.parts.msw = (v); \
(d) = sh_u.value; \
} while (0)
/* Set the less significant 32 bits of a double from an int. */
#define SET_LOW_WORD(d,v) \
do { \
ieee_double_shape_type sl_u; \
sl_u.value = (d); \
sl_u.parts.lsw = (v); \
(d) = sl_u.value; \
} while (0)
/* A union which permits us to convert between a float and a 32 bit
int. */
typedef union
{
float value;
__uint32_t word;
} ieee_float_shape_type;
/* Get a 32 bit int from a float. */
#define GET_FLOAT_WORD(i,d) \
do { \
ieee_float_shape_type gf_u; \
gf_u.value = (d); \
(i) = gf_u.word; \
} while (0)
/* Set a float from a 32 bit int. */
#define SET_FLOAT_WORD(d,i) \
do { \
ieee_float_shape_type sf_u; \
sf_u.word = (i); \
(d) = sf_u.value; \
} while (0)

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/* @(#)s_copysign.c 5.1 93/09/24 */
/*
* ====================================================
* 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.
* ====================================================
*/
/*
FUNCTION
<<copysign>>, <<copysignf>>---sign of <[y]>, magnitude of <[x]>
INDEX
copysign
INDEX
copysignf
ANSI_SYNOPSIS
#include <math.h>
double copysign (double <[x]>, double <[y]>);
float copysignf (float <[x]>, float <[y]>);
TRAD_SYNOPSIS
#include <math.h>
double copysign (<[x]>, <[y]>)
double <[x]>;
double <[y]>;
float copysignf (<[x]>, <[y]>)
float <[x]>;
float <[y]>;
DESCRIPTION
<<copysign>> constructs a number with the magnitude (absolute value)
of its first argument, <[x]>, and the sign of its second argument,
<[y]>.
<<copysignf>> does the same thing; the two functions differ only in
the type of their arguments and result.
RETURNS
<<copysign>> returns a <<double>> with the magnitude of
<[x]> and the sign of <[y]>.
<<copysignf>> returns a <<float>> with the magnitude of
<[x]> and the sign of <[y]>.
PORTABILITY
<<copysign>> is not required by either ANSI C or the System V Interface
Definition (Issue 2).
*/
/*
* copysign(double x, double y)
* copysign(x,y) returns a value with the magnitude of x and
* with the sign bit of y.
*/
#include "fdlibm.h"
#ifndef _DOUBLE_IS_32BITS
#ifdef __STDC__
double copysign(double x, double y)
#else
double copysign(x,y)
double x,y;
#endif
{
__uint32_t hx,hy;
GET_HIGH_WORD(hx,x);
GET_HIGH_WORD(hy,y);
SET_HIGH_WORD(x,(hx&0x7fffffff)|(hy&0x80000000));
return x;
}
#endif /* _DOUBLE_IS_32BITS */

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/* @(#)s_finite.c 5.1 93/09/24 */
/*
* ====================================================
* 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.
* ====================================================
*/
/*
* finite(x) returns 1 is x is finite, else 0;
* no branching!
*/
#include "fdlibm.h"
#ifndef _DOUBLE_IS_32BITS
#ifdef __STDC__
int finite(double x)
#else
int finite(x)
double x;
#endif
{
__int32_t hx;
GET_HIGH_WORD(hx,x);
return (int)((__uint32_t)((hx&0x7fffffff)-0x7ff00000)>>31);
}
#endif /* _DOUBLE_IS_32BITS */

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/* @(#)s_frexp.c 5.1 93/09/24 */
/*
* ====================================================
* 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.
* ====================================================
*/
/*
FUNCTION
<<frexp>>, <<frexpf>>---split floating-point number
INDEX
frexp
INDEX
frexpf
ANSI_SYNOPSIS
#include <math.h>
double frexp(double <[val]>, int *<[exp]>);
float frexpf(float <[val]>, int *<[exp]>);
TRAD_SYNOPSIS
#include <math.h>
double frexp(<[val]>, <[exp]>)
double <[val]>;
int *<[exp]>;
float frexpf(<[val]>, <[exp]>)
float <[val]>;
int *<[exp]>;
DESCRIPTION
All non zero, normal numbers can be described as <[m]> * 2**<[p]>.
<<frexp>> represents the double <[val]> as a mantissa <[m]>
and a power of two <[p]>. The resulting mantissa will always
be greater than or equal to <<0.5>>, and less than <<1.0>> (as
long as <[val]> is nonzero). The power of two will be stored
in <<*>><[exp]>.
@ifinfo
<[m]> and <[p]> are calculated so that
<[val]> is <[m]> times <<2>> to the power <[p]>.
@end ifinfo
@tex
<[m]> and <[p]> are calculated so that
$ val = m \times 2^p $.
@end tex
<<frexpf>> is identical, other than taking and returning
floats rather than doubles.
RETURNS
<<frexp>> returns the mantissa <[m]>. If <[val]> is <<0>>, infinity,
or Nan, <<frexp>> will set <<*>><[exp]> to <<0>> and return <[val]>.
PORTABILITY
<<frexp>> is ANSI.
<<frexpf>> is an extension.
*/
/*
* for non-zero x
* x = frexp(arg,&exp);
* return a double fp quantity x such that 0.5 <= |x| <1.0
* and the corresponding binary exponent "exp". That is
* arg = x*2^exp.
* If arg is inf, 0.0, or NaN, then frexp(arg,&exp) returns arg
* with *exp=0.
*/
#include "fdlibm.h"
#ifndef _DOUBLE_IS_32BITS
#ifdef __STDC__
static const double
#else
static double
#endif
two54 = 1.80143985094819840000e+16; /* 0x43500000, 0x00000000 */
#ifdef __STDC__
double frexp(double x, int *eptr)
#else
double frexp(x, eptr)
double x; int *eptr;
#endif
{
__int32_t hx, ix, lx;
EXTRACT_WORDS(hx,lx,x);
ix = 0x7fffffff&hx;
*eptr = 0;
if(ix>=0x7ff00000||((ix|lx)==0)) return x; /* 0,inf,nan */
if (ix<0x00100000) { /* subnormal */
x *= two54;
GET_HIGH_WORD(hx,x);
ix = hx&0x7fffffff;
*eptr = -54;
}
*eptr += (ix>>20)-1022;
hx = (hx&0x800fffff)|0x3fe00000;
SET_HIGH_WORD(x,hx);
return x;
}
#endif /* _DOUBLE_IS_32BITS */

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/* Infinity as a constant value. This is used for HUGE_VAL.
* Added by Cygnus Support.
*/
#include "fdlibm.h"
#ifndef _DOUBLE_IS_32BITS
#ifdef __IEEE_BIG_ENDIAN
const union __dmath __infinity = { 0x7ff00000, 0 };
#else
const union __dmath __infinity = { 0, 0x7ff00000 };
#endif
#else /* defined (_DOUBLE_IS_32BITS) */
const union __dmath __infinity = { 0x7f800000, 0 };
#endif /* defined (_DOUBLE_IS_32BITS) */

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/*
* isinf(x) returns 1 if x is infinity, else 0;
* no branching!
* Added by Cygnus Support.
*/
#include "fdlibm.h"
#ifndef _DOUBLE_IS_32BITS
#ifdef __STDC__
int isinf(double x)
#else
int isinf(x)
double x;
#endif
{
__int32_t hx,lx;
EXTRACT_WORDS(hx,lx,x);
hx &= 0x7fffffff;
hx |= (__uint32_t)(lx|(-lx))>>31;
hx = 0x7ff00000 - hx;
return 1 - (int)((__uint32_t)(hx|(-hx))>>31);
}
#endif /* _DOUBLE_IS_32BITS */

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/* @(#)s_isnan.c 5.1 93/09/24 */
/*
* ====================================================
* 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.
* ====================================================
*/
/*
FUNCTION
<<isnan>>,<<isnanf>>,<<isinf>>,<<isinff>>,<<finite>>,<<finitef>>---test for exceptional numbers
INDEX
isnan
INDEX
isinf
INDEX
finite
INDEX
isnanf
INDEX
isinff
INDEX
finitef
ANSI_SYNOPSIS
#include <ieeefp.h>
int isnan(double <[arg]>);
int isinf(double <[arg]>);
int finite(double <[arg]>);
int isnanf(float <[arg]>);
int isinff(float <[arg]>);
int finitef(float <[arg]>);
TRAD_SYNOPSIS
#include <ieeefp.h>
int isnan(<[arg]>)
double <[arg]>;
int isinf(<[arg]>)
double <[arg]>;
int finite(<[arg]>);
double <[arg]>;
int isnanf(<[arg]>);
float <[arg]>;
int isinff(<[arg]>);
float <[arg]>;
int finitef(<[arg]>);
float <[arg]>;
DESCRIPTION
These functions provide information on the floating point
argument supplied.
There are five major number formats -
o+
o zero
a number which contains all zero bits.
o subnormal
Is used to represent number with a zero exponent, but a non zero fraction.
o normal
A number with an exponent, and a fraction
o infinity
A number with an all 1's exponent and a zero fraction.
o NAN
A number with an all 1's exponent and a non zero fraction.
o-
<<isnan>> returns 1 if the argument is a nan. <<isinf>>
returns 1 if the argument is infinity. <<finite>> returns 1 if the
argument is zero, subnormal or normal.
The <<isnanf>>, <<isinff>> and <<finitef>> perform the same
operations as their <<isnan>>, <<isinf>> and <<finite>>
counterparts, but on single precision floating point numbers.
QUICKREF
isnan - pure
QUICKREF
isinf - pure
QUICKREF
finite - pure
QUICKREF
isnan - pure
QUICKREF
isinf - pure
QUICKREF
finite - pure
*/
/*
* isnan(x) returns 1 is x is nan, else 0;
* no branching!
*/
#include "fdlibm.h"
#ifndef _DOUBLE_IS_32BITS
#ifdef __STDC__
int isnan(double x)
#else
int isnan(x)
double x;
#endif
{
__int32_t hx,lx;
EXTRACT_WORDS(hx,lx,x);
hx &= 0x7fffffff;
hx |= (__uint32_t)(lx|(-lx))>>31;
hx = 0x7ff00000 - hx;
return (int)(((__uint32_t)(hx))>>31);
}
#endif /* _DOUBLE_IS_32BITS */

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/* @(#)s_ldexp.c 5.1 93/09/24 */
/*
* ====================================================
* 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.
* ====================================================
*/
/*
FUNCTION
<<ldexp>>, <<ldexpf>>---load exponent
INDEX
ldexp
INDEX
ldexpf
ANSI_SYNOPSIS
#include <math.h>
double ldexp(double <[val]>, int <[exp]>);
float ldexpf(float <[val]>, int <[exp]>);
TRAD_SYNOPSIS
#include <math.h>
double ldexp(<[val]>, <[exp]>)
double <[val]>;
int <[exp]>;
float ldexpf(<[val]>, <[exp]>)
float <[val]>;
int <[exp]>;
DESCRIPTION
<<ldexp>> calculates the value
@ifinfo
<[val]> times 2 to the power <[exp]>.
@end ifinfo
@tex
$val\times 2^{exp}$.
@end tex
<<ldexpf>> is identical, save that it takes and returns <<float>>
rather than <<double>> values.
RETURNS
<<ldexp>> returns the calculated value.
Underflow and overflow both set <<errno>> to <<ERANGE>>.
On underflow, <<ldexp>> and <<ldexpf>> return 0.0.
On overflow, <<ldexp>> returns plus or minus <<HUGE_VAL>>.
PORTABILITY
<<ldexp>> is ANSI, <<ldexpf>> is an extension.
*/
#include "fdlibm.h"
#include <errno.h>
#ifndef _DOUBLE_IS_32BITS
#ifdef __STDC__
double ldexp(double value, int exp)
#else
double ldexp(value, exp)
double value; int exp;
#endif
{
if(!finite(value)||value==0.0) return value;
value = scalbn(value,exp);
if(!finite(value)||value==0.0) errno = ERANGE;
return value;
}
#endif /* _DOUBLE_IS_32BITS */

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/* @(#)s_modf.c 5.1 93/09/24 */
/*
* ====================================================
* 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.
* ====================================================
*/
/*
FUNCTION
<<modf>>, <<modff>>---split fractional and integer parts
INDEX
modf
INDEX
modff
ANSI_SYNOPSIS
#include <math.h>
double modf(double <[val]>, double *<[ipart]>);
float modff(float <[val]>, float *<[ipart]>);
TRAD_SYNOPSIS
#include <math.h>
double modf(<[val]>, <[ipart]>)
double <[val]>;
double *<[ipart]>;
float modff(<[val]>, <[ipart]>)
float <[val]>;
float *<[ipart]>;
DESCRIPTION
<<modf>> splits the double <[val]> apart into an integer part
and a fractional part, returning the fractional part and
storing the integer part in <<*<[ipart]>>>. No rounding
whatsoever is done; the sum of the integer and fractional
parts is guaranteed to be exactly equal to <[val]>. That
is, if . <[realpart]> = modf(<[val]>, &<[intpart]>); then
`<<<[realpart]>+<[intpart]>>>' is the same as <[val]>.
<<modff>> is identical, save that it takes and returns
<<float>> rather than <<double>> values.
RETURNS
The fractional part is returned. Each result has the same
sign as the supplied argument <[val]>.
PORTABILITY
<<modf>> is ANSI C. <<modff>> is an extension.
QUICKREF
modf ansi pure
modff - pure
*/
/*
* modf(double x, double *iptr)
* return fraction part of x, and return x's integral part in *iptr.
* Method:
* Bit twiddling.
*
* Exception:
* No exception.
*/
#include "fdlibm.h"
#ifndef _DOUBLE_IS_32BITS
#ifdef __STDC__
static const double one = 1.0;
#else
static double one = 1.0;
#endif
#ifdef __STDC__
double modf(double x, double *iptr)
#else
double modf(x, iptr)
double x,*iptr;
#endif
{
__int32_t i0,i1,j0;
__uint32_t i;
EXTRACT_WORDS(i0,i1,x);
j0 = ((i0>>20)&0x7ff)-0x3ff; /* exponent of x */
if(j0<20) { /* integer part in high x */
if(j0<0) { /* |x|<1 */
INSERT_WORDS(*iptr,i0&0x80000000,0); /* *iptr = +-0 */
return x;
} else {
i = (0x000fffff)>>j0;
if(((i0&i)|i1)==0) { /* x is integral */
__uint32_t high;
*iptr = x;
GET_HIGH_WORD(high,x);
INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */
return x;
} else {
INSERT_WORDS(*iptr,i0&(~i),0);
return x - *iptr;
}
}
} else if (j0>51) { /* no fraction part */
__uint32_t high;
*iptr = x*one;
GET_HIGH_WORD(high,x);
INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */
return x;
} else { /* fraction part in low x */
i = ((__uint32_t)(0xffffffff))>>(j0-20);
if((i1&i)==0) { /* x is integral */
__uint32_t high;
*iptr = x;
GET_HIGH_WORD(high,x);
INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */
return x;
} else {
INSERT_WORDS(*iptr,i0,i1&(~i));
return x - *iptr;
}
}
}
#endif /* _DOUBLE_IS_32BITS */

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/* @(#)s_scalbn.c 5.1 93/09/24 */
/*
* ====================================================
* 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.
* ====================================================
*/
/*
FUNCTION
<<scalbn>>, <<scalbnf>>---scale by integer
INDEX
scalbn
INDEX
scalbnf
ANSI_SYNOPSIS
#include <math.h>
double scalbn(double <[x]>, int <[y]>);
float scalbnf(float <[x]>, int <[y]>);
TRAD_SYNOPSIS
#include <math.h>
double scalbn(<[x]>,<[y]>)
double <[x]>;
int <[y]>;
float scalbnf(<[x]>,<[y]>)
float <[x]>;
int <[y]>;
DESCRIPTION
<<scalbn>> and <<scalbnf>> scale <[x]> by <[n]>, returning <[x]> times
2 to the power <[n]>. The result is computed by manipulating the
exponent, rather than by actually performing an exponentiation or
multiplication.
RETURNS
<[x]> times 2 to the power <[n]>.
PORTABILITY
Neither <<scalbn>> nor <<scalbnf>> is required by ANSI C or by the System V
Interface Definition (Issue 2).
*/
/*
* scalbn (double x, int n)
* scalbn(x,n) returns x* 2**n computed by exponent
* manipulation rather than by actually performing an
* exponentiation or a multiplication.
*/
#include "fdlibm.h"
#ifndef _DOUBLE_IS_32BITS
#ifdef __STDC__
static const double
#else
static double
#endif
two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
huge = 1.0e+300,
tiny = 1.0e-300;
#ifdef __STDC__
double scalbn (double x, int n)
#else
double scalbn (x,n)
double x; int n;
#endif
{
__int32_t k,hx,lx;
EXTRACT_WORDS(hx,lx,x);
k = (hx&0x7ff00000)>>20; /* extract exponent */
if (k==0) { /* 0 or subnormal x */
if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
x *= two54;
GET_HIGH_WORD(hx,x);
k = ((hx&0x7ff00000)>>20) - 54;
if (n< -50000) return tiny*x; /*underflow*/
}
if (k==0x7ff) return x+x; /* NaN or Inf */
k = k+n;
if (k > 0x7fe) return huge*copysign(huge,x); /* overflow */
if (k > 0) /* normal result */
{SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
if (k <= -54)
if (n > 50000) /* in case integer overflow in n+k */
return huge*copysign(huge,x); /*overflow*/
else return tiny*copysign(tiny,x); /*underflow*/
k += 54; /* subnormal result */
SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20));
return x*twom54;
}
#endif /* _DOUBLE_IS_32BITS */

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/* sf_copysign.c -- float version of s_copysign.c.
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
*/
/*
* ====================================================
* 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.
* ====================================================
*/
/*
* copysignf(float x, float y)
* copysignf(x,y) returns a value with the magnitude of x and
* with the sign bit of y.
*/
#include "fdlibm.h"
#ifdef __STDC__
float copysignf(float x, float y)
#else
float copysignf(x,y)
float x,y;
#endif
{
__uint32_t ix,iy;
GET_FLOAT_WORD(ix,x);
GET_FLOAT_WORD(iy,y);
SET_FLOAT_WORD(x,(ix&0x7fffffff)|(iy&0x80000000));
return x;
}
#ifdef _DOUBLE_IS_32BITS
#ifdef __STDC__
double copysign(double x, double y)
#else
double copysign(x,y)
double x,y;
#endif
{
return (double) copysignf((float) x, (float) y);
}
#endif /* defined(_DOUBLE_IS_32BITS) */

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/* sf_finite.c -- float version of s_finite.c.
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
*/
/*
* ====================================================
* 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.
* ====================================================
*/
/*
* finitef(x) returns 1 is x is finite, else 0;
* no branching!
*/
#include "fdlibm.h"
#ifdef __STDC__
int finitef(float x)
#else
int finitef(x)
float x;
#endif
{
__int32_t ix;
GET_FLOAT_WORD(ix,x);
return (int)((__uint32_t)((ix&0x7fffffff)-0x7f800000)>>31);
}
#ifdef _DOUBLE_IS_32BITS
#ifdef __STDC__
int finite(double x)
#else
int finite(x)
double x;
#endif
{
return finitef((float) x);
}
#endif /* defined(_DOUBLE_IS_32BITS) */

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/* sf_frexp.c -- float version of s_frexp.c.
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
*/
/*
* ====================================================
* 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.
* ====================================================
*/
#include "fdlibm.h"
#ifdef __STDC__
static const float
#else
static float
#endif
two25 = 3.3554432000e+07; /* 0x4c000000 */
#ifdef __STDC__
float frexpf(float x, int *eptr)
#else
float frexpf(x, eptr)
float x; int *eptr;
#endif
{
__int32_t hx, ix;
GET_FLOAT_WORD(hx,x);
ix = 0x7fffffff&hx;
*eptr = 0;
if(ix>=0x7f800000||(ix==0)) return x; /* 0,inf,nan */
if (ix<0x00800000) { /* subnormal */
x *= two25;
GET_FLOAT_WORD(hx,x);
ix = hx&0x7fffffff;
*eptr = -25;
}
*eptr += (ix>>23)-126;
hx = (hx&0x807fffff)|0x3f000000;
SET_FLOAT_WORD(x,hx);
return x;
}
#ifdef _DOUBLE_IS_32BITS
#ifdef __STDC__
double frexp(double x, int *eptr)
#else
double frexp(x, eptr)
double x; int *eptr;
#endif
{
return (double) frexpf((float) x, eptr);
}
#endif /* defined(_DOUBLE_IS_32BITS) */

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/*
* isinff(x) returns 1 if x is infinity, else 0;
* no branching!
* Added by Cygnus Support.
*/
#include "fdlibm.h"
#ifdef __STDC__
int isinff(float x)
#else
int isinff(x)
float x;
#endif
{
__int32_t ix;
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
ix = 0x7f800000 - ix;
return 1 - (int)((__uint32_t)(ix|(-ix))>>31);
}
#ifdef _DOUBLE_IS_32BITS
#ifdef __STDC__
int isinf(double x)
#else
int isinf(x)
double x;
#endif
{
return isinff((float) x);
}
#endif /* defined(_DOUBLE_IS_32BITS) */

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/* sf_isnan.c -- float version of s_isnan.c.
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
*/
/*
* ====================================================
* 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.
* ====================================================
*/
/*
* isnanf(x) returns 1 is x is nan, else 0;
* no branching!
*/
#include "fdlibm.h"
#ifdef __STDC__
int isnanf(float x)
#else
int isnanf(x)
float x;
#endif
{
__int32_t ix;
GET_FLOAT_WORD(ix,x);
ix &= 0x7fffffff;
ix = 0x7f800000 - ix;
return (int)(((__uint32_t)(ix))>>31);
}
#ifdef _DOUBLE_IS_32BITS
#ifdef __STDC__
int isnan(double x)
#else
int isnan(x)
double x;
#endif
{
return isnanf((float) x);
}
#endif /* defined(_DOUBLE_IS_32BITS) */

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/* sf_ldexp.c -- float version of s_ldexp.c.
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
*/
/*
* ====================================================
* 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.
* ====================================================
*/
#include "fdlibm.h"
#include <errno.h>
#ifdef __STDC__
float ldexpf(float value, int exp)
#else
float ldexpf(value, exp)
float value; int exp;
#endif
{
if(!finitef(value)||value==(float)0.0) return value;
value = scalbnf(value,exp);
if(!finitef(value)||value==(float)0.0) errno = ERANGE;
return value;
}
#ifdef _DOUBLE_IS_32BITS
#ifdef __STDC__
double ldexp(double value, int exp)
#else
double ldexp(value, exp)
double value; int exp;
#endif
{
return (double) ldexpf((float) value, exp);
}
#endif /* defined(_DOUBLE_IS_32BITS) */

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/* sf_modf.c -- float version of s_modf.c.
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
*/
/*
* ====================================================
* 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.
* ====================================================
*/
#include "fdlibm.h"
#ifdef __STDC__
static const float one = 1.0;
#else
static float one = 1.0;
#endif
#ifdef __STDC__
float modff(float x, float *iptr)
#else
float modff(x, iptr)
float x,*iptr;
#endif
{
__int32_t i0,j0;
__uint32_t i;
GET_FLOAT_WORD(i0,x);
j0 = ((i0>>23)&0xff)-0x7f; /* exponent of x */
if(j0<23) { /* integer part in x */
if(j0<0) { /* |x|<1 */
SET_FLOAT_WORD(*iptr,i0&0x80000000); /* *iptr = +-0 */
return x;
} else {
i = (0x007fffff)>>j0;
if((i0&i)==0) { /* x is integral */
__uint32_t ix;
*iptr = x;
GET_FLOAT_WORD(ix,x);
SET_FLOAT_WORD(x,ix&0x80000000); /* return +-0 */
return x;
} else {
SET_FLOAT_WORD(*iptr,i0&(~i));
return x - *iptr;
}
}
} else { /* no fraction part */
__uint32_t ix;
*iptr = x*one;
GET_FLOAT_WORD(ix,x);
SET_FLOAT_WORD(x,ix&0x80000000); /* return +-0 */
return x;
}
}
#ifdef _DOUBLE_IS_32BITS
#ifdef __STDC__
double modf(double x, double *iptr)
#else
double modf(x, iptr)
double x,*iptr;
#endif
{
return (double) modff((float) x, (float *) iptr);
}
#endif /* defined(_DOUBLE_IS_32BITS) */

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/* sf_scalbn.c -- float version of s_scalbn.c.
* Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
*/
/*
* ====================================================
* 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.
* ====================================================
*/
#include "fdlibm.h"
#include <limits.h>
#if INT_MAX > 50000
#define OVERFLOW_INT 50000
#else
#define OVERFLOW_INT 30000
#endif
#ifdef __STDC__
static const float
#else
static float
#endif
two25 = 3.355443200e+07, /* 0x4c000000 */
twom25 = 2.9802322388e-08, /* 0x33000000 */
huge = 1.0e+30,
tiny = 1.0e-30;
#ifdef __STDC__
float scalbnf (float x, int n)
#else
float scalbnf (x,n)
float x; int n;
#endif
{
__int32_t k,ix;
GET_FLOAT_WORD(ix,x);
k = (ix&0x7f800000)>>23; /* extract exponent */
if (k==0) { /* 0 or subnormal x */
if ((ix&0x7fffffff)==0) return x; /* +-0 */
x *= two25;
GET_FLOAT_WORD(ix,x);
k = ((ix&0x7f800000)>>23) - 25;
if (n< -50000) return tiny*x; /*underflow*/
}
if (k==0xff) return x+x; /* NaN or Inf */
k = k+n;
if (k > 0xfe) return huge*copysignf(huge,x); /* overflow */
if (k > 0) /* normal result */
{SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23)); return x;}
if (k <= -25)
if (n > OVERFLOW_INT) /* in case integer overflow in n+k */
return huge*copysignf(huge,x); /*overflow*/
else return tiny*copysignf(tiny,x); /*underflow*/
k += 25; /* subnormal result */
SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23));
return x*twom25;
}
#ifdef _DOUBLE_IS_32BITS
#ifdef __STDC__
double scalbn(double x, int n)
#else
double scalbn(x,n)
double x;
int n;
#endif
{
return (double) scalbnf((float) x, n);
}
#endif /* defined(_DOUBLE_IS_32BITS) */