/* s_tanf.c -- float version of s_tan.c. * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. * Optimized by Bruce D. Evans. */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #include <sys/cdefs.h> __FBSDID("$FreeBSD$"); #include <float.h> #include "math.h" #define INLINE_KERNEL_TANDF #define INLINE_REM_PIO2F #include "math_private.h" #include "e_rem_pio2f.c" #include "k_tanf.c" /* Small multiples of pi/2 rounded to double precision. */ static const double t1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */ t2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */ t3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */ t4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */ float tanf(float x) { double y; int32_t n, hx, ix; GET_FLOAT_WORD(hx,x); ix = hx & 0x7fffffff; if(ix <= 0x3f490fda) { /* |x| ~<= pi/4 */ if(ix<0x39800000) /* |x| < 2**-12 */ if(((int)x)==0) return x; /* x with inexact if x != 0 */ return __kernel_tandf(x,1); } if(ix<=0x407b53d1) { /* |x| ~<= 5*pi/4 */ if(ix<=0x4016cbe3) /* |x| ~<= 3pi/4 */ return __kernel_tandf(x + (hx>0 ? -t1pio2 : t1pio2), -1); else return __kernel_tandf(x + (hx>0 ? -t2pio2 : t2pio2), 1); } if(ix<=0x40e231d5) { /* |x| ~<= 9*pi/4 */ if(ix<=0x40afeddf) /* |x| ~<= 7*pi/4 */ return __kernel_tandf(x + (hx>0 ? -t3pio2 : t3pio2), -1); else return __kernel_tandf(x + (hx>0 ? -t4pio2 : t4pio2), 1); } /* tan(Inf or NaN) is NaN */ else if (ix>=0x7f800000) return x-x; /* general argument reduction needed */ else { n = __ieee754_rem_pio2f(x,&y); /* integer parameter: 1 -- n even; -1 -- n odd */ return __kernel_tandf(y,1-((n&1)<<1)); } } |