/**************************************************************************** ** ** Copyright (C) 1993-2009 NVIDIA Corporation. ** Copyright (C) 2017 The Qt Company Ltd. ** Contact: https://www.qt.io/licensing/ ** ** This file is part of Qt 3D Studio. ** ** $QT_BEGIN_LICENSE:GPL$ ** Commercial License Usage ** Licensees holding valid commercial Qt licenses may use this file in ** accordance with the commercial license agreement provided with the ** Software or, alternatively, in accordance with the terms contained in ** a written agreement between you and The Qt Company. For licensing terms ** and conditions see https://www.qt.io/terms-conditions. For further ** information use the contact form at https://www.qt.io/contact-us. ** ** GNU General Public License Usage ** Alternatively, this file may be used under the terms of the GNU ** General Public License version 3 or (at your option) any later version ** approved by the KDE Free Qt Foundation. The licenses are as published by ** the Free Software Foundation and appearing in the file LICENSE.GPL3 ** included in the packaging of this file. Please review the following ** information to ensure the GNU General Public License requirements will ** be met: https://www.gnu.org/licenses/gpl-3.0.html. ** ** $QT_END_LICENSE$ ** ****************************************************************************/ #pragma once //============================================================================== // Namespace //============================================================================== namespace Q3DStudio { //============================================================================== /** * Wrapper class to functions that solve cubic equations. * * The function suite is taken from Graphics Gems: * Roots3And4.c * * Utility functions to find cubic and quartic roots, * coefficients are passed like this: * * c[0] + c[1]*x + c[2]*x^2 + c[3]*x^3 + c[4]*x^4 = 0 * * The functions return the number of non-complex roots and * put the values into the s array. * * Author: Jochen Schwarze (schwarze@isa.de) * * Jan 26, 1990 Version for Graphics Gems * Oct 11, 1990 Fixed sign problem for negative q's in SolveQuartic * (reported by Mark Podlipec), * Old-style function definitions, * IsZero() as a macro * Nov 23, 1990 Some systems do not declare acos() and cbrt() in * , though the functions exist in the library. * If large coefficients are used, EQN_EPS should be * reduced considerably (e.g. to 1E-30), results will be * correct but multiple roots might be reported more * than once. */ class CCubicRoots { //============================================================================== // Methods //============================================================================== public: static INT32 SolveQuadric(FLOAT inConstants[3], FLOAT outSolutions[2]); static INT32 SolveCubic(FLOAT inConstants[4], FLOAT outSolutions[3]); // static int SolveQuartic( FLOAT c[5], FLOAT s[4] ); }; } // namespace Q3DStudio