/* | |
* copyright (c) 2016 Ganesh Ajjanagadde <[email protected]> | |
* | |
* This file is part of FFmpeg. | |
* | |
* FFmpeg is free software; you can redistribute it and/or | |
* modify it under the terms of the GNU Lesser General Public | |
* License as published by the Free Software Foundation; either | |
* version 2.1 of the License, or (at your option) any later version. | |
* | |
* FFmpeg 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 | |
* Lesser General Public License for more details. | |
* | |
* You should have received a copy of the GNU Lesser General Public | |
* License along with FFmpeg; if not, write to the Free Software | |
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA | |
*/ | |
/** | |
* @file | |
* internal math functions header | |
*/ | |
/** | |
* Compute 10^x for floating point values. Note: this function is by no means | |
* "correctly rounded", and is meant as a fast, reasonably accurate approximation. | |
* For instance, maximum relative error for the double precision variant is | |
* ~ 1e-13 for very small and very large values. | |
* This is ~2x faster than GNU libm's approach, which is still off by 2ulp on | |
* some inputs. | |
* @param x exponent | |
* @return 10^x | |
*/ | |
static av_always_inline double ff_exp10(double x) | |
{ | |
return exp2(M_LOG2_10 * x); | |
} | |
static av_always_inline float ff_exp10f(float x) | |
{ | |
return exp2f(M_LOG2_10 * x); | |
} | |
/** | |
* Compute x^y for floating point x, y. Note: this function is faster than the | |
* libm variant due to mainly 2 reasons: | |
* 1. It does not handle any edge cases. In particular, this is only guaranteed | |
* to work correctly for x > 0. | |
* 2. It is not as accurate as a standard nearly "correctly rounded" libm variant. | |
* @param x base | |
* @param y exponent | |
* @return x^y | |
*/ | |
static av_always_inline float ff_fast_powf(float x, float y) | |
{ | |
return expf(logf(x) * y); | |
} | |