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/* | ||
This file is part of Leela Chess Zero. | ||
Copyright (C) 2018 The LCZero Authors | ||
Leela Chess is free software: you can redistribute it and/or modify | ||
it under the terms of the GNU General Public License as published by | ||
the Free Software Foundation, either version 3 of the License, or | ||
(at your option) any later version. | ||
Leela Chess is distributed in the hope that it will be useful, | ||
but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | ||
GNU General Public License for more details. | ||
You should have received a copy of the GNU General Public License | ||
along with Leela Chess. If not, see <http://www.gnu.org/licenses/>. | ||
Additional permission under GNU GPL version 3 section 7 | ||
If you modify this Program, or any covered work, by linking or | ||
combining it with NVIDIA Corporation's libraries from the NVIDIA CUDA | ||
Toolkit and the NVIDIA CUDA Deep Neural Network library (or a | ||
modified version of those libraries), containing parts covered by the | ||
terms of the respective license agreement, the licensors of this | ||
Program grant you additional permission to convey the resulting work. | ||
*/ | ||
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#pragma once | ||
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#include <cstring> | ||
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namespace lczero { | ||
// These stunts are performed by trained professionals, do not try this at home. | ||
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// Fast approximate log2(x). Does no range checking. | ||
// The approximation used here is log2(2^N*(1+f)) ~ N+f*(1.342671-0.342671*f) | ||
// where N is the integer and f the fractional part, f>=0. | ||
inline float FastLog2(const float a) { | ||
int32_t tmp; | ||
std::memcpy(&tmp, &a, sizeof(float)); | ||
int expb = (tmp >> 23); | ||
tmp = (tmp & 0x7fffff) | (0x7f << 23); | ||
float out; | ||
std::memcpy(&out, &tmp, sizeof(float)); | ||
return out * (2.028011f - 0.342671f * out) - 128.68534f + expb; | ||
} | ||
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// Fast approximate 2^x. Does only limited range checking. | ||
// The approximation used here is 2^(N+f) ~ 2^N*(1+f*(0.656366+0.343634*f)) | ||
// where N is the integer and f the fractional part, f>=0. | ||
inline float FastPow2(const float a) { | ||
if (a < -126) return 0.0; | ||
int exp = floor(a); | ||
float out = a - exp; | ||
out = 1.0f + out * (0.656366f + 0.343634f * out); | ||
int32_t tmp; | ||
std::memcpy(&tmp, &out, sizeof(float)); | ||
tmp += exp << 23; | ||
std::memcpy(&out, &tmp, sizeof(float)); | ||
return out; | ||
} | ||
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// Fast approximate ln(x). Does no range checking. | ||
inline float FastLog(const float a) { | ||
return 0.6931471805599453f * FastLog2(a); | ||
} | ||
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} // namespace lczero |