/**************************************************************************** ** gmio ** Copyright Fougue (24 Jun. 2016) ** contact@fougue.pro ** ** This software is a reusable library whose purpose is to provide complete ** I/O support for various CAD file formats (eg. STL) ** ** This software is governed by the CeCILL-B license under French law and ** abiding by the rules of distribution of free software. You can use, ** modify and/ or redistribute the software under the terms of the CeCILL-B ** license as circulated by CEA, CNRS and INRIA at the following URL ** "http://www.cecill.info/licences/Licence_CeCILL-B_V1-en.html". ****************************************************************************/ #ifndef GMIO_INTERNAL_NUMERIC_UTILS_H #define GMIO_INTERNAL_NUMERIC_UTILS_H #include "../global.h" #include "convert.h" #include /*! Does \p a and \p b compares equals by ULP (Units in the Last Place) ? * * ULP = spacing between floating-point numbers * * See: * http://www.cygnus-software.com/papers/comparingfloats/comparingfloats.htm */ bool gmio_float32_ulp_equals(float a, float b, uint32_t max_ulp_diff); /*! Count of ULP between \p a and \p b */ GMIO_INLINE uint32_t gmio_float32_ulp_diff(float a, float b); /*! Portable sign-extraction for int32 */ GMIO_INLINE int gmio_int32_sign(int32_t v); /*! Portable sign-extraction for float32 */ GMIO_INLINE int gmio_float32_sign(float v); /* * Implementation */ uint32_t gmio_float32_ulp_diff(float a, float b) { const uint32_t ua = gmio_convert_uint32(a); const uint32_t ub = gmio_convert_uint32(b); return ua > ub ? ua - ub : ub - ua; } int gmio_int32_sign(int32_t v) { return (v & 0x80000000) != 0 ? -1 : 1; } int gmio_float32_sign(float v) { return gmio_int32_sign(gmio_convert_int32(v)); } #endif /* GMIO_INTERNAL_NUMERIC_UTILS_H */