/* * 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 #include "math.h" #include "tables.h" #ifdef cl_khr_fp64 #pragma OPENCL EXTENSION cl_khr_fp64 : enable _CLC_DEF double __clc_exp_helper(double x, double x_min, double x_max, double r, int n) { int j = n & 0x3f; int m = n >> 6; // 6 term tail of Taylor expansion of e^r double z2 = r * fma(r, fma(r, fma(r, fma(r, fma(r, 0x1.6c16c16c16c17p-10, 0x1.1111111111111p-7), 0x1.5555555555555p-5), 0x1.5555555555555p-3), 0x1.0000000000000p-1), 1.0); double2 tv = USE_TABLE(two_to_jby64_ep_tbl, j); z2 = fma(tv.s0 + tv.s1, z2, tv.s1) + tv.s0; int small_value = (m < -1022) || ((m == -1022) && (z2 < 1.0)); int n1 = m >> 2; int n2 = m-n1; double z3= z2 * as_double(((long)n1 + 1023) << 52); z3 *= as_double(((long)n2 + 1023) << 52); z2 = ldexp(z2, m); z2 = small_value ? z3: z2; z2 = isnan(x) ? x : z2; z2 = x > x_max ? as_double(PINFBITPATT_DP64) : z2; z2 = x < x_min ? 0.0 : z2; return z2; } #endif // cl_khr_fp64