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/* Definitions of libc internal inline math functions implemented
by the m68881/2.
Copyright (C) 1991-2023 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 Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 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
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with the GNU C Library. If not, see
<https://www.gnu.org/licenses/>. */
#ifndef _MATHIMPL_H
#define _MATHIMPL_H
/* This file contains the definitions of the inline math functions that
are only used internally inside libm, not visible to the user. */
#define __MATH_INLINE __extern_inline
/* 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.
Note: GCC 6 objects to __attribute__ ((__leaf__)) on static functions. */
#define __m81_u(x) __CONCAT(__,x)
#define __m81_inline static __inline
#define __m81_nth(fn) __NTH (fn)
/* Define a math function. */
#define __m81_defun(rettype, func, args, attrs) \
__m81_inline rettype attrs \
__m81_nth (__m81_u(func) args)
/* Define the three variants of a math function that has a direct
implementation in the m68k fpu. FUNC is the name for C (which will be
suffixed with f and l for the float and long double version, resp). OP
is the name of the fpu operation (without leading f). */
# define __inline_mathop(func, op, attrs) \
__inline_mathop1(double, func, op, attrs) \
__inline_mathop1(float, __CONCAT(func,f), op, attrs) \
__inline_mathop1(long double, __CONCAT(func,l), op, attrs)
#define __inline_mathop1(float_type,func, op, attrs) \
__m81_defun (float_type, func, (float_type __mathop_x), attrs) \
{ \
float_type __result; \
__asm __volatile__ ("f" __STRING(op) "%.x %1, %0" \
: "=f" (__result) : "f" (__mathop_x)); \
return __result; \
}
__inline_mathop(__atan, atan,)
__inline_mathop(__cos, cos,)
__inline_mathop(__sin, sin,)
__inline_mathop(__tan, tan,)
__inline_mathop(__tanh, tanh,)
__inline_mathop(__fabs, abs, __attribute__ ((__const__)))
__inline_mathop(__rint, int,)
__inline_mathop(__expm1, etoxm1,)
__inline_mathop(__log1p, lognp1,)
__inline_mathop(__significand, getman,)
__inline_mathop(__trunc, intrz, __attribute__ ((__const__)))
/* This macro contains the definition for the rest of the inline
functions, using FLOAT_TYPE as the domain type and M as a macro
that adds the suffix for the function names. */
#define __inline_functions(float_type, m) \
__m81_defun (float_type, m(__floor), (float_type __x), \
__attribute__ ((__const__))) \
{ \
float_type __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_type, m(__ceil), (float_type __x), \
__attribute__ ((__const__))) \
{ \
float_type __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; \
}
#define __CONCAT_d(arg) arg
#define __CONCAT_f(arg) arg ## f
#define __CONCAT_l(arg) arg ## l
__inline_functions(double, __CONCAT_d)
__inline_functions(float, __CONCAT_f)
__inline_functions(long double, __CONCAT_l)
#undef __inline_functions
# define __inline_functions(float_type, m) \
__m81_defun (int, m(__isinf), (float_type __value), \
__attribute__ ((__const__))) \
{ \
/* 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, m(__finite), (float_type __value), \
__attribute__ ((__const__))) \
{ \
/* 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 (float_type, m(__scalbn), \
(float_type __x, int __n),) \
{ \
float_type __result; \
__asm __volatile__ ("fscale%.l %1, %0" : "=f" (__result) \
: "dmi" (__n), "0" (__x)); \
return __result; \
}
__inline_functions(double, __CONCAT_d)
__inline_functions(float, __CONCAT_f)
__inline_functions(long double, __CONCAT_l)
#undef __inline_functions
# define __inline_functions(float_type, m) \
__m81_defun (int, m(__isnan), (float_type __value), \
__attribute__ ((__const__))) \
{ \
char __result; \
__asm ("ftst%.x %1\n" \
"fsun %0" : "=dm" (__result) : "f" (__value)); \
return __result; \
}
__inline_functions(double, __CONCAT_d)
__inline_functions(float, __CONCAT_f)
__inline_functions(long double, __CONCAT_l)
#undef __inline_functions
# define __inline_functions(float_type, m) \
__m81_defun (float_type, m(__scalbln), \
(float_type __x, long int __n),) \
{ \
return m(__scalbn) (__x, __n); \
} \
\
__m81_defun (float_type, m(__nearbyint), (float_type __x),) \
{ \
float_type __result; \
unsigned long int __ctrl_reg; \
__asm __volatile__ ("fmove%.l %!, %0" : "=dm" (__ctrl_reg)); \
/* Temporarily disable the inexact exception. */ \
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */ \
: "dmi" (__ctrl_reg & ~0x200)); \
__asm __volatile__ ("fint%.x %1, %0" : "=f" (__result) : "f" (__x)); \
__asm __volatile__ ("fmove%.l %0, %!" : /* No outputs. */ \
: "dmi" (__ctrl_reg)); \
return __result; \
} \
\
__m81_defun (long int, m(__lrint), (float_type __x),) \
{ \
long int __result; \
__asm __volatile__ ("fmove%.l %1, %0" : "=dm" (__result) : "f" (__x)); \
return __result; \
}
__inline_functions (double, __CONCAT_d)
__inline_functions (float, __CONCAT_f)
__inline_functions (long double, __CONCAT_l)
#undef __inline_functions
#define __inline_functions(float_type, m) \
__m81_inline void \
__m81_nth (__m81_u(m(__sincos)) \
(float_type __x, float_type *__sinx, float_type *__cosx)) \
{ \
__asm __volatile__ ("fsincos%.x %2,%1:%0" \
: "=f" (*__sinx), "=f" (*__cosx) : "f" (__x)); \
}
__inline_functions (double, __CONCAT_d)
__inline_functions (float, __CONCAT_f)
__inline_functions (long double, __CONCAT_l)
#undef __inline_functions
#undef __CONCAT_d
#undef __CONCAT_f
#undef __CONCAT_l
/* Define the three variants of a math function that has a direct
implementation in the m68k fpu. FUNC is the name for C (which will be
suffixed with f and l for the float and long double version, resp). OP
is the name of the fpu operation (without leading f). */
#define __inline_mathop(func, op, attrs) \
__inline_mathop1(double, func, op, attrs) \
__inline_mathop1(float, __CONCAT(func,f), op, attrs) \
__inline_mathop1(long double, __CONCAT(func,l), op, attrs)
#define __inline_mathop1(float_type,func, op, attrs) \
__m81_defun (float_type, func, (float_type __mathop_x), attrs) \
{ \
float_type __result; \
__asm __volatile__ ("f" __STRING(op) "%.x %1, %0" \
: "=f" (__result) : "f" (__mathop_x)); \
return __result; \
}
__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_exp2, twotox,)
__inline_mathop (__ieee754_exp10, tentox,)
__inline_mathop (__ieee754_log10, log10,)
__inline_mathop (__ieee754_log2, log2,)
__inline_mathop (__ieee754_log, logn,)
__inline_mathop (__ieee754_sqrt, sqrt,)
__inline_mathop (__ieee754_atanh, atanh,)
__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 (float, __ieee754_remainderf, (float __x, float __y),)
{
float __result;
__asm ("frem%.x %1, %0" : "=f" (__result) : "f" (__y), "0" (__x));
return __result;
}
__m81_defun (long double,
__ieee754_remainderl, (long double __x, long double __y),)
{
long double __result;
__asm ("frem%.x %1, %0" : "=f" (__result) : "f" (__y), "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_defun (float, __ieee754_fmodf, (float __x, float __y),)
{
float __result;
__asm ("fmod%.x %1, %0" : "=f" (__result) : "f" (__y), "0" (__x));
return __result;
}
__m81_defun (long double,
__ieee754_fmodl, (long double __x, long double __y),)
{
long double __result;
__asm ("fmod%.x %1, %0" : "=f" (__result) : "f" (__y), "0" (__x));
return __result;
}
/* Get the m68881 condition codes, to quickly check multiple conditions. */
static __inline__ unsigned long
__m81_test (long double __val)
{
unsigned long __fpsr;
__asm ("ftst%.x %1; fmove%.l %/fpsr,%0" : "=dm" (__fpsr) : "f" (__val));
return __fpsr;
}
/* Bit values returned by __m81_test. */
#define __M81_COND_NAN (1 << 24)
#define __M81_COND_INF (2 << 24)
#define __M81_COND_ZERO (4 << 24)
#define __M81_COND_NEG (8 << 24)
#endif /* _MATHIMPL_H */
|
