/* origin: FreeBSD /usr/src/lib/msun/src/s_cosl.c */ /*- * Copyright (c) 2007 Steven G. Kargl * All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * 1. Redistributions of source code must retain the above copyright * notice unmodified, this list of conditions, and the following * disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in the * documentation and/or other materials provided with the distribution. * * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ /* * Limited testing on pseudorandom numbers drawn within [-2e8:4e8] shows * an accuracy of <= 0.7412 ULP. */ #include "libm.h" #if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024 long double cosl(long double x) { return cos(x); } #elif (LDBL_MANT_DIG == 64 || LDBL_MANT_DIG == 113) && LDBL_MAX_EXP == 16384 long double cosl(long double x) { union IEEEl2bits z; unsigned n; long double y[2]; long double hi, lo; z.e = x; z.bits.sign = 0; /* If x = NaN or Inf, then cos(x) = NaN. */ if (z.bits.exp == 0x7fff) return (x - x) / (x - x); /* |x| < (double)pi/4 */ if (z.e < M_PI_4) { /* |x| < 0x1p-64 */ if (z.bits.exp < 0x3fff - 64) /* raise inexact if x!=0 */ return 1.0 + x; return __cosl(z.e, 0); } n = __rem_pio2l(x, y); hi = y[0]; lo = y[1]; switch (n & 3) { case 0: hi = __cosl(hi, lo); break; case 1: hi = -__sinl(hi, lo, 1); break; case 2: hi = -__cosl(hi, lo); break; case 3: hi = __sinl(hi, lo, 1); break; } return hi; } #endif