toolchain/gcc/newlib/libm/math/kf_cos.c

   1 /* kf_cos.c -- float version of k_cos.c
   2  * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
   3  */
   4
   5 /*
   6  * ====================================================
   7  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
   8  *
   9  * Developed at SunPro, a Sun Microsystems, Inc. business.
  10  * Permission to use, copy, modify, and distribute this
  11  * software is freely granted, provided that this notice
  12  * is preserved.
  13  * ====================================================
  14  */
  15
  16 #include "fdlibm.h"
  17
  18 #ifdef __STDC__
  19 static const float
  20 #else
  21 static float
  22 #endif
  23 one =  1.0000000000e+00, /* 0x3f800000 */
  24 C1  =  4.1666667908e-02, /* 0x3d2aaaab */
  25 C2  = -1.3888889225e-03, /* 0xbab60b61 */
  26 C3  =  2.4801587642e-05, /* 0x37d00d01 */
  27 C4  = -2.7557314297e-07, /* 0xb493f27c */
  28 C5  =  2.0875723372e-09, /* 0x310f74f6 */
  29 C6  = -1.1359647598e-11; /* 0xad47d74e */
  30
  31 #ifdef __STDC__
  32         float __kernel_cosf(float x, float y)
  33 #else
  34         float __kernel_cosf(x, y)
  35         float x,y;
  36 #endif
  37 {
  38         float a,hz,z,r,qx;
  39         __int32_t ix;
  40         GET_FLOAT_WORD(ix,x);
  41         ix &= 0x7fffffff;                       /* ix = |x|'s high word*/
  42         if(ix<0x32000000) {                     /* if x < 2**27 */
  43             if(((int)x)==0) return one;         /* generate inexact */
  44         }
  45         z  = x*x;
  46         r  = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*C6)))));
  47         if(ix < 0x3e99999a)                     /* if |x| < 0.3 */
  48             return one - ((float)0.5*z - (z*r - x*y));
  49         else {
  50             if(ix > 0x3f480000) {               /* x > 0.78125 */
  51                 qx = (float)0.28125;
  52             } else {
  53                 SET_FLOAT_WORD(qx,ix-0x01000000);       /* x/4 */
  54             }
  55             hz = (float)0.5*z-qx;
  56             a  = one-qx;
  57             return a - (hz - (z*r-x*y));
  58         }
  59 }