/* k_tanf.c -- float version of k_tan.c * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. */ /* * ==================================================== * Copyright 2004 Sun Microsystems, Inc. All Rights Reserved. * * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #ifndef INLINE_KERNEL_TANF #ifndef lint static char rcsid[] = "$FreeBSD: head/lib/msun/src/k_tanf.c 152766 2005-11-24 13:48:40Z bde $"; #endif #endif #include "math.h" #include "math_private.h" /* |tan(x)/x - t(x)| < 2**-25.5 (~[-2e-08, 2e-08]). */ static const double T[] = { 0x15554d3418c99f.0p-54, /* 0.333331395030791399758 */ 0x1112fd38999f72.0p-55, /* 0.133392002712976742718 */ 0x1b54c91d865afe.0p-57, /* 0.0533812378445670393523 */ 0x191df3908c33ce.0p-58, /* 0.0245283181166547278873 */ 0x185dadfcecf44e.0p-61, /* 0.00297435743359967304927 */ 0x1362b9bf971bcd.0p-59, /* 0.00946564784943673166728 */ }; #ifdef INLINE_KERNEL_TANF extern inline #endif float __kernel_tandf(double x, int iy) { double z,r,w,s; z = x*x; w = z*z; /* Break x^5*(T[1]+x^2*T[2]+...) into * x^5*(T[1]+x^4*T[3]+x^8*T[5]) + * x^5*(x^2*(T[2]+x^4*T[4])) */ r = T[1]+w*(T[3]+w*T[5]) + z*(T[2]+w*T[4]); s = z*x; r = (x+s*T[0])+(s*z)*r; if(iy==1) return r; else return -1.0/r; }