compiler/stdc/math/k_sincosf.h

   1 /*-
   2  * ====================================================
   3  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
   4  *
   5  * Developed at SunPro, a Sun Microsystems, Inc. business.
   6  * Permission to use, copy, modify, and distribute this
   7  * software is freely granted, provided that this notice
   8  * is preserved.
   9  * ====================================================
  10  *
  11  * k_sinf.c and k_cosf.c merged by Steven G. Kargl.
  12  */
  13
  14 //__FBSDID("$FreeBSD$");
  15
  16 /* |sin(x)/x - s(x)| < 2**-37.5 (~[-4.89e-12, 4.824e-12]). */
  17 static const double
  18 S1 = -0x15555554cbac77.0p-55,   /* -0.166666666416265235595 */
  19 S2 =  0x111110896efbb2.0p-59,   /*  0.0083333293858894631756 */
  20 S3 = -0x1a00f9e2cae774.0p-65,   /* -0.000198393348360966317347 */
  21 S4 =  0x16cd878c3b46a7.0p-71;   /*  0.0000027183114939898219064 */
  22
  23 /* |cos(x) - c(x)| < 2**-34.1 (~[-5.37e-11, 5.295e-11]). */
  24 static const double
  25 C0  = -0x1ffffffd0c5e81.0p-54,  /* -0.499999997251031003120 */
  26 C1  =  0x155553e1053a42.0p-57,  /*  0.0416666233237390631894 */
  27 C2  = -0x16c087e80f1e27.0p-62,  /* -0.00138867637746099294692 */
  28 C3  =  0x199342e0ee5069.0p-68;  /*  0.0000243904487962774090654 */
  29
  30 static inline void
  31 __kernel_sincosdf(double x, float *sn, float *cs)
  32 {
  33         double r, s, w, z;
  34
  35         z = x * x;
  36         w = z * z;
  37         r = S3 + z * S4;
  38         s = z * x;
  39         *sn = (x + s * (S1 + z * S2)) + s * w * r;
  40         r = C2 + z * C3;
  41         *cs = ((1 + z * C0) + w * C1) + (w * z) * r;
  42 }