sysdeps/ieee754/ldbl-96/s_sinl.c

   1 /* s_sinl.c -- long double version of s_sin.c.
   2  * Conversion to long double by Ulrich Drepper,
   3  * Cygnus Support, drepper@cygnus.com.
   4  */
   5
   6 /*
   7  * ====================================================
   8  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
   9  *
  10  * Developed at SunPro, a Sun Microsystems, Inc. business.
  11  * Permission to use, copy, modify, and distribute this
  12  * software is freely granted, provided that this notice
  13  * is preserved.
  14  * ====================================================
  15  */
  16
  17 #if defined(LIBM_SCCS) && !defined(lint)
  18 static char rcsid[] = "$NetBSD: $";
  19 #endif
  20
  21 /* sinl(x)
  22  * Return sine function of x.
  23  *
  24  * kernel function:
  25  *      __kernel_sinl           ... sine function on [-pi/4,pi/4]
  26  *      __kernel_cosl           ... cose function on [-pi/4,pi/4]
  27  *      __ieee754_rem_pio2l     ... argument reduction routine
  28  *
  29  * Method.
  30  *      Let S,C and T denote the sin, cos and tan respectively on
  31  *      [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
  32  *      in [-pi/4 , +pi/4], and let n = k mod 4.
  33  *      We have
  34  *
  35  *          n        sin(x)      cos(x)        tan(x)
  36  *     ----------------------------------------------------------
  37  *          0          S           C             T
  38  *          1          C          -S            -1/T
  39  *          2         -S          -C             T
  40  *          3         -C           S            -1/T
  41  *     ----------------------------------------------------------
  42  *
  43  * Special cases:
  44  *      Let trig be any of sin, cos, or tan.
  45  *      trig(+-INF)  is NaN, with signals;
  46  *      trig(NaN)    is that NaN;
  47  *
  48  * Accuracy:
  49  *      TRIG(x) returns trig(x) nearly rounded
  50  */
  51
  52 #include <errno.h>
  53 #include "math.h"
  54 #include "math_private.h"
  55
  56 #ifdef __STDC__
  57         long double __sinl(long double x)
  58 #else
  59         long double __sinl(x)
  60         long double x;
  61 #endif
  62 {
  63         long double y[2],z=0.0;
  64         int32_t n, se, i0, i1;
  65
  66     /* High word of x. */
  67         GET_LDOUBLE_WORDS(se,i0,i1,x);
  68
  69     /* |x| ~< pi/4 */
  70         se &= 0x7fff;
  71         if(se < 0x3ffe || (se == 0x3ffe && i0 <= 0xc90fdaa2))
  72           return __kernel_sinl(x,z,0);
  73
  74     /* sin(Inf or NaN) is NaN */
  75         else if (se==0x7fff) {
  76           if ((i0 | i1) == 0)
  77             __set_errno (EDOM);
  78           return x-x;
  79         }
  80
  81     /* argument reduction needed */
  82         else {
  83             n = __ieee754_rem_pio2l(x,y);
  84             switch(n&3) {
  85                 case 0: return  __kernel_sinl(y[0],y[1],1);
  86                 case 1: return  __kernel_cosl(y[0],y[1]);
  87                 case 2: return -__kernel_sinl(y[0],y[1],1);
  88                 default:
  89                         return -__kernel_cosl(y[0],y[1]);
  90             }
  91         }
  92 }
  93 weak_alias (__sinl, sinl)