mirror of
git://sourceware.org/git/glibc.git
synced 2024-12-27 04:41:02 +08:00
8849f1d244
* sysdeps/m68k/fpu/__math.h: Rewritten for fdlibm.
449 lines
13 KiB
C
449 lines
13 KiB
C
/* Copyright (C) 1991, 1992, 1993, 1994 Free Software Foundation, Inc.
|
|
This file is part of the GNU C Library.
|
|
|
|
The GNU C Library is free software; you can redistribute it and/or
|
|
modify it under the terms of the GNU Library General Public License as
|
|
published by the Free Software Foundation; either version 2 of the
|
|
License, or (at your option) any later version.
|
|
|
|
The GNU C Library is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
|
|
Library General Public License for more details.
|
|
|
|
You should have received a copy of the GNU Library General Public
|
|
License along with the GNU C Library; see the file COPYING.LIB. If
|
|
not, write to the Free Software Foundation, Inc., 675 Mass Ave,
|
|
Cambridge, MA 02139, USA. */
|
|
|
|
#ifdef __GNUC__
|
|
|
|
#include <sys/cdefs.h>
|
|
|
|
#ifdef __NO_MATH_INLINES
|
|
/* This is used when defining the functions themselves. Define them with
|
|
__ names, and with `static inline' instead of `extern inline' so the
|
|
bodies will always be used, never an external function call. */
|
|
#define __m81_u(x) __CONCAT(__,x)
|
|
#define __m81_inline static __inline
|
|
#else
|
|
#define __m81_u(x) x
|
|
#define __m81_inline extern __inline
|
|
#define __MATH_INLINES 1
|
|
#endif
|
|
|
|
/* Define a const math function. */
|
|
#define __m81_defun(rettype, func, args) \
|
|
__m81_inline rettype \
|
|
__m81_u(func) args __attribute__((__const__)); \
|
|
__m81_inline rettype \
|
|
__m81_u(func) args
|
|
|
|
#define __inline_mathop(func, op) \
|
|
__m81_defun (double, func, (double __mathop_x)) \
|
|
{ \
|
|
double __result; \
|
|
__asm("f" __STRING(op) "%.x %1, %0" : "=f" (__result) : "f" (__mathop_x));\
|
|
return __result; \
|
|
}
|
|
|
|
#define __inline_mathopf(func, op) \
|
|
__m81_defun (float, func, (float __mathop_x)) \
|
|
{ \
|
|
float __result; \
|
|
__asm("f" __STRING(op) "%.x %1, %0" : "=f" (__result) : "f" (__mathop_x));\
|
|
return __result; \
|
|
}
|
|
|
|
/* ieee style elementary functions */
|
|
__inline_mathop(__ieee754_acos, acos)
|
|
__inline_mathop(__ieee754_asin, asin)
|
|
__inline_mathop(__ieee754_cosh, cosh)
|
|
__inline_mathop(__ieee754_sinh, sinh)
|
|
__inline_mathop(__ieee754_exp, etox)
|
|
__inline_mathop(__ieee754_log10, log10)
|
|
__inline_mathop(__ieee754_log, logn)
|
|
__inline_mathop(__ieee754_sqrt, sqrt)
|
|
__inline_mathop(__ieee754_atanh, atanh)
|
|
|
|
/* ieee style elementary float functions */
|
|
__inline_mathopf(__ieee754_acosf, acos)
|
|
__inline_mathopf(__ieee754_asinf, asin)
|
|
__inline_mathopf(__ieee754_coshf, cosh)
|
|
__inline_mathopf(__ieee754_sinhf, sinh)
|
|
__inline_mathopf(__ieee754_expf, etox)
|
|
__inline_mathopf(__ieee754_log10f, log10)
|
|
__inline_mathopf(__ieee754_logf, logn)
|
|
__inline_mathopf(__ieee754_sqrtf, sqrt)
|
|
__inline_mathopf(__ieee754_atanhf, atan)
|
|
|
|
__inline_mathop(__atan, atan)
|
|
__inline_mathop(__cos, cos)
|
|
__inline_mathop(__sin, sin)
|
|
__inline_mathop(__tan, tan)
|
|
__inline_mathop(__tanh, tanh)
|
|
__inline_mathop(__fabs, abs)
|
|
__inline_mathop(__sqrt, sqrt)
|
|
|
|
__inline_mathop(__rint, int)
|
|
__inline_mathop(__expm1, etoxm1)
|
|
__inline_mathop(__log1p, lognp1)
|
|
__inline_mathop(__logb, log2)
|
|
__inline_mathop(__significand, getman)
|
|
|
|
__inline_mathopf(__atanf, atan)
|
|
__inline_mathopf(__cosf, cos)
|
|
__inline_mathopf(__sinf, sin)
|
|
__inline_mathopf(__tanf, tan)
|
|
__inline_mathopf(__tanhf, tanh)
|
|
__inline_mathopf(__fabsf, abs)
|
|
__inline_mathopf(__sqrtf, sqrt)
|
|
|
|
__inline_mathopf(__rintf, int)
|
|
__inline_mathopf(__expm1f, etoxm1)
|
|
__inline_mathopf(__log1pf, lognp1)
|
|
__inline_mathopf(__logbf, log2)
|
|
__inline_mathopf(__significandf, getman)
|
|
|
|
__m81_defun (double, __ieee754_remainder, (double __x, double __y))
|
|
{
|
|
double __result;
|
|
__asm("frem%.x %1, %0" : "=f" (__result) : "f" (__y), "0" (__x));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (double, __ldexp, (double __x, int __e))
|
|
{
|
|
double __result;
|
|
double __double_e = (double) __e;
|
|
__asm("fscale%.x %1, %0" : "=f" (__result) : "f" (__double_e), "0" (__x));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (double, __ieee754_fmod, (double __x, double __y))
|
|
{
|
|
double __result;
|
|
__asm("fmod%.x %1, %0" : "=f" (__result) : "f" (__y), "0" (__x));
|
|
return __result;
|
|
}
|
|
|
|
__m81_inline double
|
|
__m81_u(__frexp)(double __value, int *__expptr)
|
|
{
|
|
double __mantissa, __exponent;
|
|
__asm("fgetexp%.x %1, %0" : "=f" (__exponent) : "f" (__value));
|
|
__asm("fgetman%.x %1, %0" : "=f" (__mantissa) : "f" (__value));
|
|
*__expptr = (int) __exponent;
|
|
return __mantissa;
|
|
}
|
|
|
|
__m81_defun (double, __floor, (double __x))
|
|
{
|
|
double __result;
|
|
unsigned long int __ctrl_reg;
|
|
__asm __volatile__ ("fmove%.l %!, %0" : "=dm" (__ctrl_reg));
|
|
/* Set rounding towards negative infinity. */
|
|
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */
|
|
: "dmi" ((__ctrl_reg & ~0x10) | 0x20));
|
|
/* Convert X to an integer, using -Inf rounding. */
|
|
__asm __volatile__ ("fint%.x %1, %0" : "=f" (__result) : "f" (__x));
|
|
/* Restore the previous rounding mode. */
|
|
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */
|
|
: "dmi" (__ctrl_reg));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (double, __ieee754_pow, (double __x, double __y))
|
|
{
|
|
double __result;
|
|
if (__x == 0.0)
|
|
{
|
|
if (__y <= 0.0)
|
|
__result = 0.0 / 0.0;
|
|
else
|
|
__result = 0.0;
|
|
}
|
|
else if (__y == 0.0 || __x == 1.0)
|
|
__result = 1.0;
|
|
else if (__y == 1.0)
|
|
__result = __x;
|
|
else if (__y == 2.0)
|
|
__result = __x * __x;
|
|
else if (__x == 10.0)
|
|
__asm("ftentox%.x %1, %0" : "=f" (__result) : "f" (__y));
|
|
else if (__x == 2.0)
|
|
__asm("ftwotox%.x %1, %0" : "=f" (__result) : "f" (__y));
|
|
else if (__x < 0.0)
|
|
{
|
|
double __temp = __m81_u (__rint) (__y);
|
|
if (__y == __temp)
|
|
{
|
|
int i = (int) __y;
|
|
__result = __m81_u(__ieee754_exp)(__y * __m81_u(__ieee754_log)(-__x));
|
|
if (i & 1)
|
|
__result = -__result;
|
|
}
|
|
else
|
|
__result = 0.0 / 0.0;
|
|
}
|
|
else
|
|
__result = __m81_u(__ieee754_exp)(__y * __m81_u(__ieee754_log)(__x));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (double, __ceil, (double __x))
|
|
{
|
|
double __result;
|
|
unsigned long int __ctrl_reg;
|
|
__asm __volatile__ ("fmove%.l %!, %0" : "=dm" (__ctrl_reg));
|
|
/* Set rounding towards positive infinity. */
|
|
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */
|
|
: "dmi" (__ctrl_reg | 0x30));
|
|
/* Convert X to an integer, using +Inf rounding. */
|
|
__asm __volatile__ ("fint%.x %1, %0" : "=f" (__result) : "f" (__x));
|
|
/* Restore the previous rounding mode. */
|
|
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */
|
|
: "dmi" (__ctrl_reg));
|
|
return __result;
|
|
}
|
|
|
|
__m81_inline double
|
|
__m81_u(__modf)(double __value, double *__iptr)
|
|
{
|
|
double __modf_int;
|
|
__asm ("fintrz%.x %1, %0" : "=f" (__modf_int) : "f" (__value));
|
|
*__iptr = __modf_int;
|
|
return __value - __modf_int;
|
|
}
|
|
|
|
__m81_defun (int, __isinf, (double __value))
|
|
{
|
|
/* There is no branch-condition for infinity,
|
|
so we must extract and examine the condition codes manually. */
|
|
unsigned long int __fpsr;
|
|
__asm("ftst%.x %1\n"
|
|
"fmove%.l %/fpsr, %0" : "=dm" (__fpsr) : "f" (__value));
|
|
return (__fpsr & (2 << 24)) ? (__fpsr & (8 << 24) ? -1 : 1) : 0;
|
|
}
|
|
|
|
__m81_defun (int, __isnan, (double __value))
|
|
{
|
|
char __result;
|
|
__asm("ftst%.x %1\n"
|
|
"fsun %0" : "=dm" (__result) : "f" (__value));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (int, __finite, (double __value))
|
|
{
|
|
/* There is no branch-condition for infinity, so we must extract and
|
|
examine the condition codes manually. */
|
|
unsigned long int __fpsr;
|
|
__asm ("ftst%.x %1\n"
|
|
"fmove%.l %/fpsr, %0" : "=dm" (__fpsr) : "f" (__value));
|
|
return (__fpsr & (3 << 24)) == 0;
|
|
}
|
|
|
|
__m81_defun (int, __ilogb, (double __x))
|
|
{
|
|
double __result;
|
|
__asm("fgetexp%.x %1, %0" : "=f" (__result) : "f" (__x));
|
|
return (int) __result;
|
|
}
|
|
|
|
__m81_defun (double, __ieee754_scalb, (double __x, double __n))
|
|
{
|
|
double __result;
|
|
__asm ("fscale%.x %1, %0" : "=f" (__result) : "f" (__n), "0" (__x));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (double, __scalbn, (double __x, int __n))
|
|
{
|
|
double __result;
|
|
double __double_n = (double) __n;
|
|
__asm ("fscale%.x %1, %0" : "=f" (__result) : "f" (__double_n), "0" (__x));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (float, __ieee754_remainderf, (float __x, float __y))
|
|
{
|
|
float __result;
|
|
__asm("frem%.x %1, %0" : "=f" (__result) : "f" (__y), "0" (__x));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (float, __ldexpf, (float __x, int __e))
|
|
{
|
|
float __result;
|
|
float __float_e = (float) __e;
|
|
__asm("fscale%.x %1, %0" : "=f" (__result) : "f" (__float_e), "0" (__x));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (float, __ieee754_fmodf, (float __x, float __y))
|
|
{
|
|
float __result;
|
|
__asm("fmod%.x %1, %0" : "=f" (__result) : "f" (__y), "0" (__x));
|
|
return __result;
|
|
}
|
|
|
|
__m81_inline float
|
|
__m81_u(__frexpf)(float __value, int *__expptr)
|
|
{
|
|
float __mantissa, __exponent;
|
|
__asm("fgetexp%.x %1, %0" : "=f" (__exponent) : "f" (__value));
|
|
__asm("fgetman%.x %1, %0" : "=f" (__mantissa) : "f" (__value));
|
|
*__expptr = (int) __exponent;
|
|
return __mantissa;
|
|
}
|
|
|
|
__m81_defun (float, __floorf, (float __x))
|
|
{
|
|
float __result;
|
|
unsigned long int __ctrl_reg;
|
|
__asm __volatile__ ("fmove%.l %!, %0" : "=dm" (__ctrl_reg));
|
|
/* Set rounding towards negative infinity. */
|
|
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */
|
|
: "dmi" ((__ctrl_reg & ~0x10) | 0x20));
|
|
/* Convert X to an integer, using -Inf rounding. */
|
|
__asm __volatile__ ("fint%.x %1, %0" : "=f" (__result) : "f" (__x));
|
|
/* Restore the previous rounding mode. */
|
|
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */
|
|
: "dmi" (__ctrl_reg));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (float, __ieee754_powf, (float __x, float __y))
|
|
{
|
|
float __result;
|
|
if (__x == 0.0f)
|
|
{
|
|
if (__y <= 0.0f)
|
|
__result = 0.0f / 0.0f;
|
|
else
|
|
__result = 0.0f;
|
|
}
|
|
else if (__y == 0.0f || __x == 1.0f)
|
|
__result = 1.0;
|
|
else if (__y == 1.0f)
|
|
__result = __x;
|
|
else if (__y == 2.0f)
|
|
__result = __x * __x;
|
|
else if (__x == 10.0f)
|
|
__asm("ftentox%.x %1, %0" : "=f" (__result) : "f" (__y));
|
|
else if (__x == 2.0f)
|
|
__asm("ftwotox%.x %1, %0" : "=f" (__result) : "f" (__y));
|
|
else if (__x < 0.0f)
|
|
{
|
|
float __temp = __m81_u(__rintf)(__y);
|
|
if (__y == __temp)
|
|
{
|
|
int i = (int) __y;
|
|
__result = __m81_u(__ieee754_expf)(__y * __m81_u(__ieee754_logf)(-__x));
|
|
if (i & 1)
|
|
__result = -__result;
|
|
}
|
|
else
|
|
__result = 0.0f / 0.0f;
|
|
}
|
|
else
|
|
__result = __m81_u(__ieee754_expf)(__y * __m81_u(__ieee754_logf)(__x));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (float, __ceilf, (float __x))
|
|
{
|
|
float __result;
|
|
unsigned long int __ctrl_reg;
|
|
__asm __volatile__ ("fmove%.l %!, %0" : "=dm" (__ctrl_reg));
|
|
/* Set rounding towards positive infinity. */
|
|
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */
|
|
: "dmi" (__ctrl_reg | 0x30));
|
|
/* Convert X to an integer, using +Inf rounding. */
|
|
__asm __volatile__ ("fint%.x %1, %0" : "=f" (__result) : "f" (__x));
|
|
/* Restore the previous rounding mode. */
|
|
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */
|
|
: "dmi" (__ctrl_reg));
|
|
return __result;
|
|
}
|
|
|
|
__m81_inline float
|
|
__m81_u(__modff)(float __value, float *__iptr)
|
|
{
|
|
float __modf_int;
|
|
__asm ("fintrz%.x %1, %0" : "=f" (__modf_int) : "f" (__value));
|
|
*__iptr = __modf_int;
|
|
return __value - __modf_int;
|
|
}
|
|
|
|
__m81_defun (int, __isinff, (float __value))
|
|
{
|
|
/* There is no branch-condition for infinity,
|
|
so we must extract and examine the condition codes manually. */
|
|
unsigned long int __fpsr;
|
|
__asm("ftst%.x %1\n"
|
|
"fmove%.l %/fpsr, %0" : "=dm" (__fpsr) : "f" (__value));
|
|
return (__fpsr & (2 << 24)) ? (__fpsr & (8 << 24) ? -1 : 1) : 0;
|
|
}
|
|
|
|
__m81_defun (int, __isnanf, (float __value))
|
|
{
|
|
char __result;
|
|
__asm("ftst%.x %1\n"
|
|
"fsun %0" : "=dm" (__result) : "f" (__value));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (int, __finitef, (float __value))
|
|
{
|
|
/* There is no branch-condition for infinity, so we must extract and
|
|
examine the condition codes manually. */
|
|
unsigned long int __fpsr;
|
|
__asm ("ftst%.x %1\n"
|
|
"fmove%.l %/fpsr, %0" : "=dm" (__fpsr) : "f" (__value));
|
|
return (__fpsr & (3 << 24)) == 0;
|
|
}
|
|
|
|
__m81_defun (int, __ilogbf, (float __x))
|
|
{
|
|
float __result;
|
|
__asm("fgetexp%.x %1, %0" : "=f" (__result) : "f" (__x));
|
|
return (int) __result;
|
|
}
|
|
|
|
__m81_defun (float, __ieee754_scalbf, (float __x, float __n))
|
|
{
|
|
float __result;
|
|
__asm ("fscale%.x %1, %0" : "=f" (__result) : "f" (__n), "0" (__x));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (float, __scalbnf, (float __x, int __n))
|
|
{
|
|
float __result;
|
|
float __float_n = (float) __n;
|
|
__asm ("fscale%.x %1, %0" : "=f" (__result) : "f" (__float_n), "0" (__x));
|
|
return __result;
|
|
}
|
|
|
|
__m81_defun (int, __isinfl, (long double __value))
|
|
{
|
|
/* There is no branch-condition for infinity,
|
|
so we must extract and examine the condition codes manually. */
|
|
unsigned long int __fpsr;
|
|
__asm("ftst%.x %1\n"
|
|
"fmove%.l %/fpsr, %0" : "=dm" (__fpsr) : "f" (__value));
|
|
return (__fpsr & (2 << 24)) ? (__fpsr & (8 << 24) ? -1 : 1) : 0;
|
|
}
|
|
|
|
__m81_defun (int, __isnanl, (long double __value))
|
|
{
|
|
char __result;
|
|
__asm("ftst%.x %1\n"
|
|
"fsun %0" : "=dm" (__result) : "f" (__value));
|
|
return __result;
|
|
}
|
|
|
|
#endif /* GCC. */
|