/* 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 . */ #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 pi = 3.14159265358979323846264338327950280e+00L; 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 = (1.0 + 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 = (1.0 - 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