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/*
* Copyright (c) 2014 Advanced Micro Devices, Inc.
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
* THE SOFTWARE.
*/
#include <clc/clc.h>
#include "math.h"
#include "sincos_helpers.h"
#include "sincospiF_piby4.h"
#include "../clcmacro.h"
#ifdef cl_khr_fp64
#include "sincosD_piby4.h"
#endif
_CLC_OVERLOAD _CLC_DEF float cospi(float x)
{
int ix = as_int(x) & 0x7fffffff;
float ax = as_float(ix);
int iax = (int)ax;
float r = ax - iax;
int xodd = iax & 0x1 ? 0x80000000 : 0;
// Initialize with return for +-Inf and NaN
int ir = 0x7fc00000;
// 2^24 <= |x| < Inf, the result is always even integer
ir = ix < 0x7f800000 ? 0x3f800000 : ir;
// 2^23 <= |x| < 2^24, the result is always integer
ir = ix < 0x4b800000 ? xodd | 0x3f800000 : ir;
// 0x1.0p-7 <= |x| < 2^23, result depends on which 0.25 interval
// r < 1.0
float a = 1.0f - r;
int e = 1;
int s = xodd ^ 0x80000000;
// r <= 0.75
int c = r <= 0.75f;
a = c ? r - 0.5f : a;
e = c ? 0 : e;
// r < 0.5
c = r < 0.5f;
a = c ? 0.5f - r : a;
s = c ? xodd : s;
// r <= 0.25
c = r <= 0.25f;
a = c ? r : a;
e = c ? 1 : e;
float2 t = __libclc__sincosf_piby4(a * M_PI_F);
int jr = s ^ as_int(e ? t.hi : t.lo);
ir = ix < 0x4b000000 ? jr : ir;
return as_float(ir);
}
_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, float, cospi, float);
#ifdef cl_khr_fp64
#pragma OPENCL EXTENSION cl_khr_fp64 : enable
_CLC_OVERLOAD _CLC_DEF double cospi(double x) {
long ix = as_long(x) & 0x7fffffffffffffffL;
double ax = as_double(ix);
long iax = (long)ax;
double r = ax - (double)iax;
long xodd = iax & 0x1L ? 0x8000000000000000L : 0L;
// Initialize with return for +-Inf and NaN
long ir = 0x7ff8000000000000L;
// 2^53 <= |x| < Inf, the result is always even integer
ir = ix < 0x7ff0000000000000 ? 0x3ff0000000000000L : ir;
// 2^52 <= |x| < 2^53, the result is always integer
ir = ax < 0x1.0p+53 ? xodd | 0x3ff0000000000000L : ir;
// 0x1.0p-7 <= |x| < 2^52, result depends on which 0.25 interval
// r < 1.0
double a = 1.0 - r;
int e = 1;
long s = xodd ^ 0x8000000000000000L;
// r <= 0.75
int c = r <= 0.75;
double t = r - 0.5;
a = c ? t : a;
e = c ? 0 : e;
// r < 0.5
c = r < 0.5;
t = 0.5 - r;
a = c ? t : a;
s = c ? xodd : s;
// r <= 0.25
c = r <= 0.25;
a = c ? r : a;
e = c ? 1 : e;
double2 sc = __libclc__sincos_piby4(a * M_PI, 0.0);
long jr = s ^ as_long(e ? sc.hi : sc.lo);
ir = ax < 0x1.0p+52 ? jr : ir;
return as_double(ir);
}
_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, double, cospi, double);
#endif
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