/*
* 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 "../clcmacro.h"
#include "tables.h"
_CLC_DEF _CLC_OVERLOAD float __clc_tanpi(float x)
{
int ix = as_int(x);
int xsgn = ix & 0x80000000;
int xnsgn = xsgn ^ 0x80000000;
ix ^= xsgn;
float ax = as_float(ix);
int iax = (int)ax;
float r = ax - iax;
int xodd = xsgn ^ (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 ? xsgn : ir;
// 2^23 <= |x| < 2^24, the result is always integer
ir = ix < 0x4b800000 ? xodd : ir;
// 0x1.0p-7 <= |x| < 2^23, result depends on which 0.25 interval
// r < 1.0
float a = 1.0f - r;
int e = 0;
int s = xnsgn;
// r <= 0.75
int c = r <= 0.75f;
a = c ? r - 0.5f : a;
e = c ? 1 : e;
s = c ? xsgn : s;
// r < 0.5
c = r < 0.5f;
a = c ? 0.5f - r : a;
s = c ? xnsgn : s;
// 0 < r <= 0.25
c = r <= 0.25f;
a = c ? r : a;
e = c ? 0 : e;
s = c ? xsgn : s;
float t = __clc_tanf_piby4(a * M_PI_F, 0);
float tr = -native_recip(t);
int jr = s ^ as_int(e ? tr : t);
jr = r == 0.5f ? xodd | 0x7f800000 : jr;
ir = ix < 0x4b000000 ? jr : ir;
return as_float(ir);
}
_CLC_UNARY_VECTORIZE(_CLC_DEF _CLC_OVERLOAD, float, __clc_tanpi, float);
#ifdef cl_khr_fp64
#include "sincosD_piby4.h"
_CLC_DEF _CLC_OVERLOAD double __clc_tanpi(double x)
{
long ix = as_long(x);
long xsgn = ix & 0x8000000000000000L;
long xnsgn = xsgn ^ 0x8000000000000000L;
ix ^= xsgn;
double ax = as_double(ix);
long iax = (long)ax;
double r = ax - iax;
long xodd = xsgn ^ (iax & 0x1 ? 0x8000000000000000L : 0L);
// Initialize with return for +-Inf and NaN
long ir = 0x7ff8000000000000L;
// 2^53 <= |x| < Inf, the result is always even integer
ir = ix < 0x7ff0000000000000L ? xsgn : ir;
// 2^52 <= |x| < 2^53, the result is always integer
ir = ix < 0x4340000000000000L ? xodd : ir;
// 0x1.0p-14 <= |x| < 2^53, result depends on which 0.25 interval
// r < 1.0
double a = 1.0 - r;
int e = 0;
long s = xnsgn;
// r <= 0.75
int c = r <= 0.75;
double t = r - 0.5;
a = c ? t : a;
e = c ? 1 : e;
s = c ? xsgn : s;
// r < 0.5
c = r < 0.5;
t = 0.5 - r;
a = c ? t : a;
s = c ? xnsgn : s;
// r <= 0.25
c = r <= 0.25;
a = c ? r : a;
e = c ? 0 : e;
s = c ? xsgn : s;
double api = a * M_PI;
double2 tt = __clc_tan_piby4(api, 0.0);
long jr = s ^ as_long(e ? tt.hi : tt.lo);
long si = xodd | 0x7ff0000000000000L;
jr = r == 0.5 ? si : jr;
ir = ix < 0x4330000000000000L ? jr : ir;
return as_double(ir);
}
_CLC_UNARY_VECTORIZE(_CLC_DEF _CLC_OVERLOAD, double, __clc_tanpi, double);
#endif
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