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Diffstat (limited to 'src/math/acosl.c')
-rw-r--r-- | src/math/acosl.c | 91 |
1 files changed, 91 insertions, 0 deletions
diff --git a/src/math/acosl.c b/src/math/acosl.c new file mode 100644 index 00000000..21e6c95e --- /dev/null +++ b/src/math/acosl.c @@ -0,0 +1,91 @@ +/* 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 |