newlib-cygwin/winsup/mingw/mingwex/math/fastmath.h

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#ifndef _MINGWEX_FASTMATH_H_
#define _MINGWEX_FASTMATH_H_
/* Fast math inlines
No range or domain checks. No setting of errno. No tweaks to
protect precision near range limits. */
/* For now this is an internal header with just the functions that
are currently used in building libmingwex.a math components */
/* FIXME: We really should get rid of the code duplication using euther
C++ templates or tgmath-type macros. */
static __inline__ double __fast_sqrt (double x)
{
double res;
asm __volatile__ ("fsqrt" : "=t" (res) : "0" (x));
return res;
}
static __inline__ long double __fast_sqrtl (long double x)
{
long double res;
asm __volatile__ ("fsqrt" : "=t" (res) : "0" (x));
return res;
}
static __inline__ float __fast_sqrtf (float x)
{
float res;
asm __volatile__ ("fsqrt" : "=t" (res) : "0" (x));
return res;
}
static __inline__ double __fast_log (double x)
{
double res;
asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2x"
: "=t" (res) : "0" (x) : "st(1)");
return res;
}
static __inline__ long double __fast_logl (long double x)
{
long double res;
asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2x"
: "=t" (res) : "0" (x) : "st(1)");
return res;
}
static __inline__ float __fast_logf (float x)
{
float res;
asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2x"
: "=t" (res) : "0" (x) : "st(1)");
return res;
}
static __inline__ double __fast_log1p (double x)
{
double res;
/* fyl2xp1 accurate only for |x| <= 1.0 - 0.5 * sqrt (2.0) */
if (fabs (x) >= 1.0 - 0.5 * 1.41421356237309504880)
res = __fast_log (1.0 + x);
else
asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2xp1"
: "=t" (res) : "0" (x) : "st(1)");
return res;
}
static __inline__ long double __fast_log1pl (long double x)
{
long double res;
/* fyl2xp1 accurate only for |x| <= 1.0 - 0.5 * sqrt (2.0) */
if (fabsl (x) >= 1.0L - 0.5L * 1.41421356237309504880L)
res = __fast_logl (1.0L + x);
else
asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2xp1"
: "=t" (res) : "0" (x) : "st(1)");
return res;
}
static __inline__ float __fast_log1pf (float x)
{
float res;
/* fyl2xp1 accurate only for |x| <= 1.0 - 0.5 * sqrt (2.0) */
if (fabsf (x) >= 1.0 - 0.5 * 1.41421356237309504880)
res = __fast_logf (1.0 + x);
else
asm __volatile__
("fldln2\n\t"
"fxch\n\t"
"fyl2xp1"
: "=t" (res) : "0" (x) : "st(1)");
return res;
}
#endif