/* --------------------------------------------------------------------------- Open Asset Import Library (assimp) --------------------------------------------------------------------------- Copyright (c) 2006-2022, assimp team All rights reserved. Redistribution and use of this software in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of the assimp team, nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission of the assimp team. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. --------------------------------------------------------------------------- */ #pragma once #ifdef __GNUC__ # pragma GCC system_header #endif /** @file MathFunctions.h * @brief Implementation of math utility functions. * */ #include namespace Assimp { namespace Math { /// @brief Will return the greatest common divisor. /// @param a [in] Value a. /// @param b [in] Value b. /// @return The greatest common divisor. template inline IntegerType gcd( IntegerType a, IntegerType b ) { const IntegerType zero = (IntegerType)0; while ( true ) { if ( a == zero ) { return b; } b %= a; if ( b == zero ) { return a; } a %= b; } } /// @brief Will return the greatest common divisor. /// @param a [in] Value a. /// @param b [in] Value b. /// @return The greatest common divisor. template < typename IntegerType > inline IntegerType lcm( IntegerType a, IntegerType b ) { const IntegerType t = gcd (a,b); if (!t) { return t; } return a / t * b; } /// @brief Will return the smallest epsilon-value for the requested type. /// @return The numercical limit epsilon depending on its type. template inline T getEpsilon() { return std::numeric_limits::epsilon(); } /// @brief Will return the constant PI for the requested type. /// @return Pi template inline T aiPi() { return static_cast(3.14159265358979323846); } } // namespace Math } // namespace Assimp