| /* |
| * 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 "math.h" |
| #include "../clcmacro.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 |