glibc/sysdeps/m68k/fpu/__math.h

/* Definitions of inline math functions implemented by the m68881/2.
   Copyright (C) 1991, 92, 93, 94, 96, 97 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., 59 Temple Place - Suite 330,
   Boston, MA 02111-1307, USA.  */

#ifdef	__GNUC__

#include <sys/cdefs.h>

#ifdef	__LIBC_M81_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	__M81_MATH_INLINES	1
#endif

/* Define a const math function.  */
#define __m81_defun(rettype, func, args)				      \
  __m81_inline rettype __attribute__((__const__))			      \
  __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).  */

#if defined __USE_MISC || defined __USE_ISOC9X
#define	__inline_mathop(func, op)			\
  __inline_mathop1(double, func, op)			\
  __inline_mathop1(float, __CONCAT(func,f), op)		\
  __inline_mathop1(long double, __CONCAT(func,l), op)
#else
#define	__inline_mathop(func, op)			\
  __inline_mathop1(double, func, op)
#endif

#define __inline_mathop1(float_type,func, op)				      \
  __m81_defun (float_type, func, (float_type __mathop_x))		      \
  {									      \
    float_type __result;						      \
    __asm("f" __STRING(op) "%.x %1, %0" : "=f" (__result) : "f" (__mathop_x));\
    return __result;							      \
  }

#ifdef __LIBC_M81_MATH_INLINES
/* ieee style elementary functions */
/* These are internal to the implementation of libm.  */
__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)
#endif

__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(__rint, int)
__inline_mathop(__expm1, etoxm1)
__inline_mathop(__log1p, lognp1)
__inline_mathop(__significand, getman)

__inline_mathop(__log2, log2)
__inline_mathop(__exp2, twotox)
__inline_mathop(__trunc, intrz)

#if !defined __NO_MATH_INLINES && defined __OPTIMIZE__

__inline_mathop(atan, atan)
__inline_mathop(cos, cos)
__inline_mathop(sin, sin)
__inline_mathop(tan, tan)
__inline_mathop(tanh, tanh)

#if defined __USE_MISC || defined __USE_XOPEN_EXTENDED || defined __USE_ISOC9X
__inline_mathop(rint, int)
__inline_mathop(expm1, etoxm1)
__inline_mathop(log1p, lognp1)
#endif

#ifdef __USE_MISC
__inline_mathop(significand, getman)
#endif

#ifdef __USE_ISOC9X
__inline_mathop(log2, log2)
__inline_mathop(exp2, twotox)
__inline_mathop(trunc, intrz)
#endif

#endif /* !__NO_MATH_INLINES && __OPTIMIZE__ */

/* This macro contains the definition for the rest of the inline
   functions, using __FLOAT_TYPE as the domain type and __S as the suffix
   for the function names.  */

#ifdef __LIBC_M81_MATH_INLINES
/* Internally used functions.  */
#define __internal_inline_functions(float_type, s)			     \
__m81_defun (float_type, __CONCAT(__ieee754_remainder,s),		     \
	     (float_type __x, float_type __y))				     \
{									     \
  float_type __result;							     \
  __asm("frem%.x %1, %0" : "=f" (__result) : "f" (__y), "0" (__x));	     \
  return __result;							     \
}									     \
									     \
__m81_defun (float_type, __CONCAT(__ieee754_fmod,s),			     \
	     (float_type __x, float_type __y))				     \
{									     \
  float_type __result;							     \
  __asm("fmod%.x %1, %0" : "=f" (__result) : "f" (__y), "0" (__x));	     \
  return __result;							     \
}									     \
									     \
__m81_defun (float_type, __CONCAT(__ieee754_scalb,s),			     \
	     (float_type __x, float_type __n))				     \
{									     \
  float_type __result;							     \
  __asm ("fscale%.x %1, %0" : "=f" (__result) : "f" (__n), "0" (__x));	     \
  return __result;							     \
}

__internal_inline_functions (double,)
__internal_inline_functions (float,f)
__internal_inline_functions (long double,l)
#undef __internal_inline_functions

/* 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 /* __LIBC_M81_MATH_INLINES */

/* The rest of the functions are available to the user.  */

#define __inline_functions(float_type, s)				  \
__m81_inline float_type							  \
__m81_u(__CONCAT(__frexp,s))(float_type __value, int *__expptr)		  \
{									  \
  float_type __mantissa, __exponent;					  \
  int __iexponent;							  \
  unsigned long __fpsr;							  \
  __asm("ftst%.x %1\n"							  \
	"fmove%.l %/fpsr, %0" : "=dm" (__fpsr) : "f" (__value));	  \
  if (__fpsr & (7 << 24))						  \
    {									  \
      /* Not finite or zero.  */					  \
      *__expptr = 0;							  \
      return __value;							  \
    }									  \
  __asm("fgetexp%.x %1, %0" : "=f" (__exponent) : "f" (__value));	  \
  __iexponent = (int) __exponent + 1;					  \
  *__expptr = __iexponent;						  \
  __asm("fscale%.l %2, %0" : "=f" (__mantissa)				  \
	: "0" (__value), "dmi" (-__iexponent));				  \
  return __mantissa;							  \
}									  \
									  \
__m81_defun (float_type, __CONCAT(__floor,s), (float_type __x))		  \
{									  \
  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, __CONCAT(__ceil,s), (float_type __x))		  \
{									  \
  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;							  \
}									  \
									  \
__m81_defun (int, __CONCAT(__isinf,s), (float_type __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, __CONCAT(__isnan,s), (float_type __value))		  \
{									  \
  char __result;							  \
  __asm("ftst%.x %1\n"							  \
	"fsun %0" : "=dm" (__result) : "f" (__value));			  \
  return __result;							  \
}									  \
									  \
__m81_defun (int, __CONCAT(__finite,s), (float_type __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, __CONCAT(__signbit,s), (float_type __value))		  \
{									  \
  /* There is no branch-condition for the sign bit, 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 >> 27) & 1;						  \
}									  \
									  \
__m81_defun (int, __CONCAT(__ilogb,s), (float_type __x))		  \
{									  \
  float_type __result;							  \
  if (__x == 0.0)							  \
    return 0x80000001;							  \
  __asm("fgetexp%.x %1, %0" : "=f" (__result) : "f" (__x));		  \
  return (int) __result;						  \
}									  \
									  \
__m81_defun (float_type, __CONCAT(__scalbn,s), (float_type __x, int __n)) \
{									  \
  float_type __result;							  \
  __asm ("fscale%.l %1, %0" : "=f" (__result) : "dmi" (__n), "0" (__x));  \
  return __result;							  \
}									  \
									  \
__m81_defun (float_type, __CONCAT(__nearbyint,s), (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_inline void							  \
__m81_u(__CONCAT(__sincos,s))(float_type __x, float_type *__sinx,	  \
			      float_type *__cosx)			  \
{									  \
  __asm ("fsincos%.x %2,%1:%0"						  \
	 : "=f" (*__sinx), "=f" (*__cosx) : "f" (__x));			  \
}

/* This defines the three variants of the inline functions.  */
__inline_functions (double,)
__inline_functions (float,f)
__inline_functions (long double,l)
#undef __inline_functions

__m81_defun (long int, __lrint, (long double __x))
{
  long int __result;
  __asm ("fmove%.l %1, %0" : "=dm" (__result) : "f" (__x));
  return __result;
}

#if !defined __NO_MATH_INLINES && defined __OPTIMIZE__

/* Define inline versions of the user visible functions.  */

#define __inline_forward_c(rettype, name, args1, args2)	\
extern __inline rettype __attribute__((__const__))	\
name args1						\
{							\
  return __CONCAT(__,name) args2;			\
}

#define __inline_forward(rettype, name, args1, args2)	\
extern __inline rettype name args1			\
{							\
  return __CONCAT(__,name) args2;			\
}

__inline_forward(double,frexp, (double __value, int *__expptr),
		 (__value, __expptr))
__inline_forward_c(double,floor, (double __x), (__x))
__inline_forward_c(double,ceil, (double __x), (__x))
#ifdef __USE_MISC
__inline_forward_c(int,isinf, (double __value), (__value))
__inline_forward_c(int,finite, (double __value), (__value))
__inline_forward_c(double,scalbn, (double __x, int __n), (__x, __n))
#endif
#if defined __USE_MISC || defined __USE_XOPEN
#ifndef __USE_ISOC9X /* Conflict with macro of same name.  */
__inline_forward_c(int,isnan, (double __value), (__value))
#endif
__inline_forward_c(int,ilogb, (double __value), (__value))
#endif
#ifdef __USE_ISOC9X
__inline_forward_c(double,nearbyint, (double __value), (__value))
#endif
#ifdef __USE_GNU
__inline_forward(void,sincos, (double __x, double *__sinx, double *__cosx),
		 (__x, __sinx, __cosx))
#endif

#if defined __USE_MISC || defined __USE_ISOC9X

__inline_forward(float,frexpf, (float __value, int *__expptr),
		 (__value, __expptr))
__inline_forward_c(float,floorf, (float __x), (__x))
__inline_forward_c(float,ceilf, (float __x), (__x))
#ifdef __USE_MISC
__inline_forward_c(int,isinff, (float __value), (__value))
__inline_forward_c(int,finitef, (float __value), (__value))
__inline_forward_c(float,scalbnf, (float __x, int __n), (__x, __n))
__inline_forward_c(int,isnanf, (float __value), (__value))
__inline_forward_c(int,ilogbf, (float __value), (__value))
#endif
#ifdef __USE_ISOC9X
__inline_forward_c(float,nearbyintf, (float __value), (__value))
#endif
#ifdef __USE_GNU
__inline_forward(void,sincosf, (float __x, float *__sinx, float *__cosx),
		 (__x, __sinx, __cosx))
#endif

__inline_forward(long double,frexpl, (long double __value, int *__expptr),
		 (__value, __expptr))
__inline_forward_c(long double,floorl, (long double __x), (__x))
__inline_forward_c(long double,ceill, (long double __x), (__x))
#ifdef __USE_MISC
__inline_forward_c(int,isinfl, (long double __value), (__value))
__inline_forward_c(int,finitel, (long double __value), (__value))
__inline_forward_c(long double,scalbnl, (long double __x, int __n),
		   (__x, __n))
__inline_forward_c(int,isnanl, (long double __value), (__value))
__inline_forward_c(int,ilogbl, (long double __value), (__value))
#endif
#ifdef __USE_ISOC9X
__inline_forward_c(long double,nearbyintl, (long double __value), (__value))
__inline_forward_c(long int,lrint, (long double __value), (__value))
#endif
#ifdef __USE_GNU
__inline_forward(void,sincosl,
		 (long double __x, long double *__sinx, long double *__cosx),
		 (__x, __sinx, __cosx))
#endif

#endif /* Use misc or ISO C9X */

#undef __inline_forward
#undef __inline_forward_c

#ifdef __USE_ISOC9X

/* ISO C 9X defines some macros to perform unordered comparisons.  The
   m68k FPU supports this with special opcodes and we should use them.
   These must not be inline functions since we have to be able to handle
   all floating-point types.  */
#undef isgreater
#define isgreater(x, y)					\
   __extension__					\
   ({ char __result;					\
      __asm__ ("fcmp%.x %2,%1; fsogt %0"		\
	       : "=dm" (__result) : "f" (x), "f" (y));	\
      (int) __result; })

#undef isgreaterequal
#define isgreaterequal(x, y)				\
   __extension__					\
   ({ char __result;					\
      __asm__ ("fcmp%.x %2,%1; fsoge %0"		\
	       : "=dm" (__result) : "f" (x), "f" (y));	\
      (int) __result; })

#undef isless
#define isless(x, y)					\
   __extension__					\
   ({ char __result;					\
      __asm__ ("fcmp%.x %2,%1; fsolt %0"		\
	       : "=dm" (__result) : "f" (x), "f" (y));	\
      (int) __result; })

#undef islessequal
#define islessequal(x, y)				\
   __extension__					\
   ({ char __result;					\
      __asm__ ("fcmp%.x %2,%1; fsole %0"		\
	       : "=dm" (__result) : "f" (x), "f" (y));	\
      (int) __result; })

#undef islessgreater
#define islessgreater(x, y)				\
   __extension__					\
   ({ char __result;					\
      __asm__ ("fcmp%.x %2,%1; fsogl %0"		\
	       : "=dm" (__result) : "f" (x), "f" (y));	\
      (int) __result; })

#undef isunordered
#define isunordered(x, y)				\
   __extension__					\
   ({ char __result;					\
      __asm__ ("fcmp%.x %2,%1; fsun %0"			\
	       : "=dm" (__result) : "f" (x), "f" (y));	\
      (int) __result; })
#endif

#endif /* !__NO_MATH_INLINES && __OPTIMIZE__ */

#endif	/* GCC.  */