/* * nut_float.h - Network UPS Tools include files for floating point routines * and ways to compare if non-integers are close enough to assume equal * * Copyright (C) 2020 Jim Klimov * * This program 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 2 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 General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA */ #ifndef NUT_FLOAT_H_SEEN #define NUT_FLOAT_H_SEEN 1 #include "config.h" #if defined HAVE_FLOAT_H # include #endif #if defined HAVE_MATH_H # include #endif /* Modern compilers frown upon direct comparisons of floating point numbers * since their imprecise internal representations can misfire, and really we * care if they are indiscernably close. To aviod warnings like -Wfloat-equal * we prefer to compare with methods defined below. Note: despite the "floating" * name, fabs() seems to be defined over doubles or wider types, e.g.: * double fabs(double x); * float fabsf(float x); * long double fabsl(long double x); * To be on the safer side, we compare the difference to be smaller or equal to * the Epsilon for the respective numeric type, in order to be equivalent to a * zero for our needs. Various libs define it as "the next representable number * after 1.0 which is not equal to 1.0" for the discrete maths involved; no talk * about exactly comparing it to zero or whether it is the smallest representable * non-zero value... */ #define f_equal(x, y) ( fabsf((float)(x) - (float)(y)) <= FLT_EPSILON ) #define d_equal(x, y) ( fabs((double)(x) - (double)(y)) <= DBL_EPSILON ) #define ld_equal(x, y) ( fabsl((long double)(x) - (long double)(y)) <= LDBL_EPSILON ) #endif /* NUT_FLOAT_H_SEEN */