/*-
 * Copyright (c) 2007 Steven G. Kargl
 * All rights reserved.
 *
 * Redistribution and use in source and binary forms, with or without
 * modification, are permitted provided that the following conditions
 * are met:
 * 1. Redistributions of source code must retain the above copyright
 *    notice unmodified, this list of conditions, and the following
 *    disclaimer.
 * 2. Redistributions in binary form must reproduce the above copyright
 *    notice, this list of conditions and the following disclaimer in the
 *    documentation and/or other materials provided with the distribution.
 *
 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 */

//__FBSDID("$FreeBSD: src/lib/msun/src/s_cosl.c,v 1.3 2011/05/30 19:41:28 kargl Exp $");

/*
 * Limited testing on pseudorandom numbers drawn within [-2e8:4e8] shows
 * an accuracy of <= 0.7412 ULP.
 */


#include "e_rem_pio2l.h"

long double
cosl(long double x)
{
	union IEEEl2bits z;
	int e0;
	long double y[2];
	long double hi, lo;

	z.e = x;
	z.bits.sign = 0;

	/* If x = NaN or Inf, then cos(x) = NaN. */
	if (z.bits.exp == 32767)
                return __math_invalidl(x);

	/* If x = +-0, then cos(x) = 1 */
	if (x == 0)
		return (1.0L);

	/* Optimize the case where x is already within range. */
	if (z.e < _M_PI_4L)
		return (__kernel_cosl(z.e, 0));

	e0 = __ieee754_rem_pio2l(x, y);
	hi = y[0];
	lo = y[1];

	switch (e0 & 3) {
	case 0:
	    hi = __kernel_cosl(hi, lo);
	    break;
	case 1:
	    hi = - __kernel_sinl(hi, lo, 1);
	    break;
	case 2:
	    hi = - __kernel_cosl(hi, lo);
	    break;
	case 3:
	    hi = __kernel_sinl(hi, lo, 1);
	    break;
	}

	return (hi);
}

#if defined(_HAVE_ALIAS_ATTRIBUTE)
#ifndef __clang__
#pragma GCC diagnostic ignored "-Wmissing-attributes"
#endif
__strong_reference(cosl, _cosl);
#endif