Having the fp16 pragmas enabled in the header file is risky. The macros defined by that header don't (and can't) include the pragmas that make fp16 types themselves legal, and another header may disable the fp16 pragma before the macro's use. The safest thing to do is the use of pragmas surrounding each use of the macro in the implementation files. This pattern is also far more common across the codebase.
99 lines
3.3 KiB
Common Lisp
99 lines
3.3 KiB
Common Lisp
/*
|
|
* Copyright (c) 2014,2015 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 <clc/clcmacro.h>
|
|
|
|
#include "math.h"
|
|
|
|
_CLC_OVERLOAD _CLC_DEF float exp(float x) {
|
|
|
|
// Reduce x
|
|
const float ln2HI = 0x1.62e300p-1f;
|
|
const float ln2LO = 0x1.2fefa2p-17f;
|
|
const float invln2 = 0x1.715476p+0f;
|
|
|
|
float fhalF = x < 0.0f ? -0.5f : 0.5f;
|
|
int p = mad(x, invln2, fhalF);
|
|
float fp = (float)p;
|
|
float hi = mad(fp, -ln2HI, x); // t*ln2HI is exact here
|
|
float lo = -fp*ln2LO;
|
|
|
|
// Evaluate poly
|
|
float t = hi + lo;
|
|
float tt = t*t;
|
|
float v = mad(tt,
|
|
-mad(tt,
|
|
mad(tt,
|
|
mad(tt,
|
|
mad(tt, 0x1.637698p-25f, -0x1.bbd41cp-20f),
|
|
0x1.1566aap-14f),
|
|
-0x1.6c16c2p-9f),
|
|
0x1.555556p-3f),
|
|
t);
|
|
|
|
float y = 1.0f - (((-lo) - MATH_DIVIDE(t * v, 2.0f - v)) - hi);
|
|
|
|
// Scale by 2^p
|
|
float r = as_float(as_int(y) + (p << 23));
|
|
|
|
const float ulim = 0x1.62e430p+6f; // ln(largest_normal) = 88.72283905206835305366
|
|
const float llim = -0x1.5d589ep+6f; // ln(smallest_normal) = -87.33654475055310898657
|
|
|
|
r = x < llim ? 0.0f : r;
|
|
r = x < ulim ? r : as_float(0x7f800000);
|
|
return isnan(x) ? x : r;
|
|
}
|
|
|
|
_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, float, exp, float)
|
|
|
|
#ifdef cl_khr_fp64
|
|
|
|
#include "exp_helper.h"
|
|
|
|
#pragma OPENCL EXTENSION cl_khr_fp64 : enable
|
|
|
|
_CLC_OVERLOAD _CLC_DEF double exp(double x) {
|
|
|
|
const double X_MIN = -0x1.74910d52d3051p+9; // -1075*ln(2)
|
|
const double X_MAX = 0x1.62e42fefa39efp+9; // 1024*ln(2)
|
|
const double R_64_BY_LOG2 = 0x1.71547652b82fep+6; // 64/ln(2)
|
|
const double R_LOG2_BY_64_LD = 0x1.62e42fefa0000p-7; // head ln(2)/64
|
|
const double R_LOG2_BY_64_TL = 0x1.cf79abc9e3b39p-46; // tail ln(2)/64
|
|
|
|
int n = convert_int(x * R_64_BY_LOG2);
|
|
double r = fma(-R_LOG2_BY_64_TL, (double)n, fma(-R_LOG2_BY_64_LD, (double)n, x));
|
|
return __clc_exp_helper(x, X_MIN, X_MAX, r, n);
|
|
}
|
|
|
|
_CLC_UNARY_VECTORIZE(_CLC_OVERLOAD _CLC_DEF, double, exp, double)
|
|
|
|
#endif
|
|
|
|
#ifdef cl_khr_fp16
|
|
|
|
#pragma OPENCL EXTENSION cl_khr_fp16 : enable
|
|
|
|
_CLC_DEFINE_UNARY_BUILTIN_FP16(exp)
|
|
|
|
#endif
|