newlib/libm/ld128/k_sinl.c

   1 /* From: @(#)k_sin.c 1.3 95/01/18 */
   2 /*
   3  * ====================================================
   4  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
   5  * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
   6  *
   7  * Developed at SunSoft, a Sun Microsystems, Inc. business.
   8  * Permission to use, copy, modify, and distribute this
   9  * software is freely granted, provided that this notice
  10  * is preserved.
  11  * ====================================================
  12  */
  13
  14 #include <sys/cdefs.h>
  15 __FBSDID("$FreeBSD$");
  16
  17 /*
  18  * ld128 version of k_sin.c.  See ../src/k_sin.c for most comments.
  19  */
  20 #include <math.h>
  21 #include "../ld/math_private.h"
  22
  23 static const double
  24 half =  0.5;
  25
  26 /*
  27  * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37]
  28  * |sin(x)/x - s(x)| < 2**-122.1
  29  *
  30  * See ../ld80/k_cosl.c for more details about the polynomial.
  31  */
  32 static const long double
  33 S1 = -0.16666666666666666666666666666666666606732416116558L,
  34 S2 =  0.0083333333333333333333333333333331135404851288270047L,
  35 S3 = -0.00019841269841269841269841269839935785325638310428717L,
  36 S4 =  0.27557319223985890652557316053039946268333231205686e-5L,
  37 S5 = -0.25052108385441718775048214826384312253862930064745e-7L,
  38 S6 =  0.16059043836821614596571832194524392581082444805729e-9L,
  39 S7 = -0.76471637318198151807063387954939213287488216303768e-12L,
  40 S8 =  0.28114572543451292625024967174638477283187397621303e-14L;
  41
  42 static const double
  43 S9  = -0.82206352458348947812512122163446202498005154296863e-17,
  44 S10 =  0.19572940011906109418080609928334380560135358385256e-19,
  45 S11 = -0.38680813379701966970673724299207480965452616911420e-22,
  46 S12 =  0.64038150078671872796678569586315881020659912139412e-25;
  47
  48 long double
  49 __kernel_sinl(long double x, long double y, int iy)
  50 {
  51         long double z,r,v;
  52
  53         z       =  x*x;
  54         v       =  z*x;
  55         r       =  S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+
  56             z*(S9+z*(S10+z*(S11+z*S12)))))))));
  57         if(iy==0) return x+v*(S1+z*r);
  58         else      return x-((z*(half*y-v*r)-y)-v*S1);
  59 }