/* 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" #if LDBL_MANT_DIG == 64 #define CLEARBOTTOM(u) (u.i.m &= -1ULL << 32) #elif LDBL_MANT_DIG == 113 #define CLEARBOTTOM(u) (u.i.lo = 0) #endif long double acosl(long double x) { union ldshape u = {x}; long double z, s, c, f; uint16_t e = u.i.se & 0x7fff; /* |x| >= 1 or nan */ if (e >= 0x3fff) { if (x == 1) return 0; if (x == -1) return 2*pio2_hi + 0x1p-120f; return 0/(x-x); } /* |x| < 0.5 */ if (e < 0x3fff - 1) { if (e < 0x3fff - LDBL_MANT_DIG - 1) return pio2_hi + 0x1p-120f; return pio2_hi - (__invtrigl_R(x*x)*x - pio2_lo + x); } /* x < -0.5 */ if (u.i.se >> 15) { z = (1 + x)*0.5; s = sqrtl(z); return 2*(pio2_hi - (__invtrigl_R(z)*s - pio2_lo + s)); } /* x > 0.5 */ z = (1 - x)*0.5; s = sqrtl(z); u.f = s; CLEARBOTTOM(u); f = u.f; c = (z - f*f)/(s + f); return 2*(__invtrigl_R(z)*s + c + f); } #endif