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