/* s_sinl.c -- long double version of s_sin.c.

 * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.

 */

/*

 * ====================================================

 * 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.

 * ====================================================

 */

/* sinl(x)

 * Return sine function of x.

 *

 * kernel function:

 *	__kernel_sinl		... sine function on [-pi/4,pi/4]

 *	__kernel_cosl		... cose function on [-pi/4,pi/4]

 *	__ieee754_rem_pio2l	... argument reduction routine

 *

 * Method.

 *      Let S,C and T denote the sin, cos and tan respectively on

 *	[-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2

 *	in [-pi/4 , +pi/4], and let n = k mod 4.

 *	We have

 *

 *          n        sin(x)      cos(x)        tan(x)

 *     ----------------------------------------------------------

 *	    0	       S	   C		 T

 *	    1	       C	  -S		-1/T

 *	    2	      -S	  -C		 T

 *	    3	      -C	   S		-1/T

 *     ----------------------------------------------------------

 *

 * Special cases:

 *      Let trig be any of sin, cos, or tan.

 *      trig(+-INF)  is NaN, with signals;

 *      trig(NaN)    is that NaN;

 *

 * Accuracy:

 *	TRIG(x) returns trig(x) nearly rounded

 */

#include <errno.h>

#include <math.h>

#include <math_private.h>

#include <libm-alias-ldouble.h>

_Float128 __sinl(_Float128 x)

{

	_Float128 y[2],z=0;

	int64_t n, ix;

    /* High word of x. */

	GET_LDOUBLE_MSW64(ix,x);

    /* |x| ~< pi/4 */

	ix &= 0x7fffffffffffffffLL;

	if(ix <= 0x3ffe921fb54442d1LL)

	  return __kernel_sinl(x,z,0);

    /* sin(Inf or NaN) is NaN */

	else if (ix>=0x7fff000000000000LL) {

	    if (ix == 0x7fff000000000000LL) {

		GET_LDOUBLE_LSW64(n,x);

		if (n == 0)

		    __set_errno (EDOM);

	    }

	    return x-x;

	}

    /* argument reduction needed */

	else {

	    n = __ieee754_rem_pio2l(x,y);

	    switch(n&3) {

		case 0: return  __kernel_sinl(y[0],y[1],1);

		case 1: return  __kernel_cosl(y[0],y[1]);

		case 2: return -__kernel_sinl(y[0],y[1],1);

		default:

			return -__kernel_cosl(y[0],y[1]);

	    }

	}

}

libm_alias_ldouble (__sin, sin)