/******************************************************************************* * This file is part of SWIFT. * Copyright (C) 2021 Willem Elbers (whe@willemelbers.com) * * This program 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 3 of the License, or * (at your option) any later version. * * This program 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 Lesser General Public License * along with this program. If not, see . * ******************************************************************************/ #include /* Local includes. */ #include "exp10.h" #include "log.h" #include "swift.h" /* Standard includes */ #include #include /** * @brief Check that a and b are consistent (up to some relative error) * * @param a First value * @param b Second value * @param tol Relative tolerance * @param x Value for which we tested the function (for error messages) */ void check_value(double a, double b, const double tol, const double x) { if (fabs(a - b) / fabs(a + b) > tol) error("Values are inconsistent: %12.15e %12.15e rel=%e (for x=%e).", a, b, fabs(a - b) / fabs(a + b), x); } /** * @brief Check that a and b are consistent (up to some absolute error) * * @param a First value * @param b Second value * @param tol Relative tolerance * @param x Value for which we tested the function (for error messages) */ void check_value_abs(double a, double b, const double tol, const double x) { if (fabs(a - b) > tol) error("Values are inconsistent: %12.15e %12.15e abs=%e (for x=%e).", a, b, fabs(a - b), x); } int main(int argc, char* argv[]) { /* Initialize CPU frequency, this also starts time. */ unsigned long long cpufreq = 0; clocks_set_cpufreq(cpufreq); /* Choke on FPEs */ #ifdef HAVE_FE_ENABLE_EXCEPT feenableexcept(FE_DIVBYZERO | FE_INVALID | FE_OVERFLOW); #endif /* Loop over some values */ for (float x = 0.; x < 32; x += 0.000001) { const double exact_p = x; const double exact_n = -x; const double swift_log_p = optimized_logf(exp(x)); const double swift_log_n = optimized_logf(exp(-x)); const double swift_log10_p = optimized_log10f(exp10(x)); const double swift_log10_n = optimized_log10f(exp10(-x)); /* Check the absolute error */ check_value_abs(exact_p, swift_log_p, 5e-3, x); check_value_abs(exact_n, swift_log_n, 5e-3, x); check_value_abs(exact_p, swift_log10_p, 5e-3, x); check_value_abs(exact_n, swift_log10_n, 5e-3, x); /* Check the relative error in the domain where it is small */ if (x >= 0.3) { check_value(exact_p, swift_log_p, 5e-3, x); check_value(exact_n, swift_log_n, 5e-3, x); check_value(exact_p, swift_log10_p, 5e-3, x); check_value(exact_n, swift_log10_n, 5e-3, x); } } message("Success."); return 0; }