// Created on: 1991-09-03 // Created by: Laurent PAINNOT // Copyright (c) 1991-1999 Matra Datavision // Copyright (c) 1999-2014 OPEN CASCADE SAS // // This file is part of Open CASCADE Technology software library. // // This library is free software; you can redistribute it and/or modify it under // the terms of the GNU Lesser General Public License version 2.1 as published // by the Free Software Foundation, with special exception defined in the file // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT // distribution for complete text of the license and disclaimer of any warranty. // // Alternatively, this file may be used under the terms of Open CASCADE // commercial license or contractual agreement. #ifndef _math_TrigonometricFunctionRoots_HeaderFile #define _math_TrigonometricFunctionRoots_HeaderFile #include #include #include #include #include #include #include #include class StdFail_NotDone; class Standard_OutOfRange; class Standard_RangeError; //! This class implements the solutions of the equation //! a*Cos(x)*Cos(x) + 2*b*Cos(x)*Sin(x) + c*Cos(x) + d*Sin(x) + e //! The degree of this equation can be 4, 3 or 2. class math_TrigonometricFunctionRoots { public: DEFINE_STANDARD_ALLOC //! Given coefficients a, b, c, d , e, this constructor //! performs the resolution of the equation above. //! The solutions must be contained in [InfBound, SupBound]. //! InfBound and SupBound can be set by default to 0 and 2*PI. Standard_EXPORT math_TrigonometricFunctionRoots(const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D, const Standard_Real E, const Standard_Real InfBound, const Standard_Real SupBound); //! Given the two coefficients d and e, it performs //! the resolution of d*sin(x) + e = 0. //! The solutions must be contained in [InfBound, SupBound]. //! InfBound and SupBound can be set by default to 0 and 2*PI. Standard_EXPORT math_TrigonometricFunctionRoots(const Standard_Real D, const Standard_Real E, const Standard_Real InfBound, const Standard_Real SupBound); //! Given the three coefficients c, d and e, it performs //! the resolution of c*Cos(x) + d*sin(x) + e = 0. //! The solutions must be contained in [InfBound, SupBound]. //! InfBound and SupBound can be set by default to 0 and 2*PI. Standard_EXPORT math_TrigonometricFunctionRoots(const Standard_Real C, const Standard_Real D, const Standard_Real E, const Standard_Real InfBound, const Standard_Real SupBound); //! Returns true if the computations are successful, otherwise returns false. Standard_Boolean IsDone() const; //! Returns true if there is an infinity of roots, otherwise returns false. Standard_Boolean InfiniteRoots() const; //! Returns the solution of range Index. //! An exception is raised if NotDone. //! An exception is raised if Index>NbSolutions. //! An exception is raised if there is an infinity of solutions. Standard_Real Value (const Standard_Integer Index) const; //! Returns the number of solutions found. //! An exception is raised if NotDone. //! An exception is raised if there is an infinity of solutions. Standard_Integer NbSolutions() const; //! Prints information on the current state of the object. Standard_EXPORT void Dump (Standard_OStream& o) const; protected: //! is used by the constructors above. Standard_EXPORT void Perform (const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D, const Standard_Real E, const Standard_Real InfBound, const Standard_Real SupBound); private: Standard_Integer NbSol; TColStd_Array1OfReal Sol; Standard_Boolean InfiniteStatus; Standard_Boolean Done; }; #include #endif // _math_TrigonometricFunctionRoots_HeaderFile