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/*-
* Copyright (c) 2017,2023 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.
*/
/*
* See ../src/s_cospi.c for implementation details.
*/
#define INLINE_KERNEL_SINDF
#define INLINE_KERNEL_COSDF
#include "math.h"
#include "math_private.h"
#include "k_cosf.c"
#include "k_sinf.c"
#define __kernel_cospif(x) (__kernel_cosdf(M_PI * (x)))
#define __kernel_sinpif(x) (__kernel_sindf(M_PI * (x)))
volatile static const float vzero = 0;
float
cospif(float x)
{
float ax, c;
uint32_t ix, j0;
GET_FLOAT_WORD(ix, x);
ix = ix & 0x7fffffff;
SET_FLOAT_WORD(ax, ix);
if (ix < 0x3f800000) { /* |x| < 1 */
if (ix < 0x3e800000) { /* |x| < 0.25 */
if (ix < 0x38800000) { /* |x| < 0x1p-14 */
/* Raise inexact iff != 0. */
if ((int)ax == 0)
return (1);
}
return (__kernel_cospif(ax));
}
if (ix < 0x3f000000) /* |x| < 0.5 */
c = __kernel_sinpif(0.5F - ax);
else if (ix < 0x3f400000) { /* |x| < 0.75 */
if (ix == 0x3f000000)
return (0);
c = -__kernel_sinpif(ax - 0.5F);
} else
c = -__kernel_cospif(1 - ax);
return (c);
}
if (ix < 0x4b000000) { /* 1 <= |x| < 0x1p23 */
FFLOORF(x, j0, ix); /* Integer part of ax. */
ax -= x;
GET_FLOAT_WORD(ix, ax);
if (ix < 0x3f000000) { /* |x| < 0.5 */
if (ix < 0x3e800000) /* |x| < 0.25 */
c = ix == 0 ? 1 : __kernel_cospif(ax);
else
c = __kernel_sinpif(0.5F - ax);
} else {
if (ix < 0x3f400000) { /* |x| < 0.75 */
if (ix == 0x3f000000)
return (0);
c = -__kernel_sinpif(ax - 0.5F);
} else
c = -__kernel_cospif(1 - ax);
}
j0 = (uint32_t)x;
return (j0 & 1 ? -c : c);
}
/* x = +-inf or nan. */
if (ix >= 0x7f800000)
return (vzero / vzero);
/*
* For 0x1p23 <= |x| < 0x1p24 need to determine if x is an even
* or odd integer to return +1 or -1.
* For |x| >= 0x1p24, it is always an even integer, so return 1.
*/
return (ix < 0x4b800000 ? ((ix & 1) ? -1 : 1) : 1);
}
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