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first commit of the new libm!

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thanks to the hard work of Szabolcs Nagy (nsz), identifying the best
(from correctness and license standpoint) implementations from freebsd
and openbsd and cleaning them up! musl should now fully support c99
float and long double math functions, and has near-complete complex
math support. tgmath should also work (fully on gcc-compatible
compilers, and mostly on any c99 compiler).

based largely on commit 0376d44a890fea261506f1fc63833e7a686dca19 from
nsz's libm git repo, with some additions (dummy versions of a few
missing long double complex functions, etc.) by me.

various cleanups still need to be made, including re-adding (if
they're correct) some asm functions that were dropped.
This commit is contained in:
Rich Felker
2012-03-13 01:17:53 -04:00
parent d46cf2e14c
commit b69f695ace
378 changed files with 20552 additions and 7743 deletions
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91
src/math/acosl.c Normal file
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/* origin: FreeBSD /usr/src/lib/msun/src/e_acosl.c */
/*
* ====================================================
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
*
* Developed at SunSoft, a Sun Microsystems, Inc. business.
* Permission to use, copy, modify, and distribute this
* software is freely granted, provided that this notice
* is preserved.
* ====================================================
*/
/*
* See comments in acos.c.
* Converted to long double by David Schultz <das@FreeBSD.ORG>.
*/
#include "libm.h"
#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
long double acosl(long double x)
{
return acos(x);
}
#elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384
#include "__invtrigl.h"
static const long double
one = 1.00000000000000000000e+00;
// FIXME
//#ifdef __i386__
/* XXX Work around the fact that gcc truncates long double constants on i386 */
static volatile double
pi1 = 3.14159265358979311600e+00, /* 0x1.921fb54442d18p+1 */
pi2 = 1.22514845490862001043e-16; /* 0x1.1a80000000000p-53 */
#define pi ((long double)pi1 + pi2)
//#else
#if 0
static const long double
pi = 3.14159265358979323846264338327950280e+00L;
#endif
long double acosl(long double x)
{
union IEEEl2bits u;
long double z, p, q, r, w, s, c, df;
int16_t expsign, expt;
u.e = x;
expsign = u.xbits.expsign;
expt = expsign & 0x7fff;
if (expt >= BIAS) { /* |x| >= 1 */
if (expt == BIAS &&
((u.bits.manh & ~LDBL_NBIT) | u.bits.manl) == 0) {
if (expsign > 0)
return 0.0; /* acos(1) = 0 */
else
return pi + 2.0 * pio2_lo; /* acos(-1)= pi */
}
return (x - x) / (x - x); /* acos(|x|>1) is NaN */
}
if (expt < BIAS - 1) { /* |x| < 0.5 */
if (expt < ACOS_CONST)
return pio2_hi + pio2_lo; /* x tiny: acosl=pi/2 */
z = x * x;
p = P(z);
q = Q(z);
r = p / q;
return pio2_hi - (x - (pio2_lo - x * r));
} else if (expsign < 0) { /* x < -0.5 */
z = (one + x) * 0.5;
p = P(z);
q = Q(z);
s = sqrtl(z);
r = p / q;
w = r * s - pio2_lo;
return pi - 2.0 * (s + w);
} else { /* x > 0.5 */
z = (one - x) * 0.5;
s = sqrtl(z);
u.e = s;
u.bits.manl = 0;
df = u.e;
c = (z - df * df) / (s + df);
p = P(z);
q = Q(z);
r = p / q;
w = r * s + c;
return 2.0 * (df + w);
}
}
#endif