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1 | // Created on: 1991-09-03 |
2 | // Created by: Laurent PAINNOT |
3 | // Copyright (c) 1991-1999 Matra Datavision |
4 | // Copyright (c) 1999-2014 OPEN CASCADE SAS |
5 | // |
6 | // This file is part of Open CASCADE Technology software library. |
7 | // |
8 | // This library is free software; you can redistribute it and/or modify it under |
9 | // the terms of the GNU Lesser General Public License version 2.1 as published |
10 | // by the Free Software Foundation, with special exception defined in the file |
11 | // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT |
12 | // distribution for complete text of the license and disclaimer of any warranty. |
13 | // |
14 | // Alternatively, this file may be used under the terms of Open CASCADE |
15 | // commercial license or contractual agreement. |
16 | |
17 | #ifndef _math_TrigonometricFunctionRoots_HeaderFile |
18 | #define _math_TrigonometricFunctionRoots_HeaderFile |
19 | |
20 | #include <Standard.hxx> |
21 | #include <Standard_DefineAlloc.hxx> |
22 | #include <Standard_Handle.hxx> |
23 | |
24 | #include <Standard_Integer.hxx> |
25 | #include <TColStd_Array1OfReal.hxx> |
26 | #include <Standard_Boolean.hxx> |
27 | #include <Standard_Real.hxx> |
28 | #include <Standard_OStream.hxx> |
29 | class StdFail_NotDone; |
30 | class Standard_OutOfRange; |
31 | class Standard_RangeError; |
32 | |
33 | |
34 | //! This class implements the solutions of the equation |
35 | //! a*Cos(x)*Cos(x) + 2*b*Cos(x)*Sin(x) + c*Cos(x) + d*Sin(x) + e |
36 | //! The degree of this equation can be 4, 3 or 2. |
37 | class math_TrigonometricFunctionRoots |
38 | { |
39 | public: |
40 | |
41 | DEFINE_STANDARD_ALLOC |
42 | |
43 | |
44 | //! Given coefficients a, b, c, d , e, this constructor |
45 | //! performs the resolution of the equation above. |
46 | //! The solutions must be contained in [InfBound, SupBound]. |
47 | //! InfBound and SupBound can be set by default to 0 and 2*PI. |
48 | 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); |
49 | |
50 | //! Given the two coefficients d and e, it performs |
51 | //! the resolution of d*sin(x) + e = 0. |
52 | //! The solutions must be contained in [InfBound, SupBound]. |
53 | //! InfBound and SupBound can be set by default to 0 and 2*PI. |
54 | Standard_EXPORT math_TrigonometricFunctionRoots(const Standard_Real D, const Standard_Real E, const Standard_Real InfBound, const Standard_Real SupBound); |
55 | |
56 | //! Given the three coefficients c, d and e, it performs |
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57 | //! the resolution of c*Cos(x) + d*sin(x) + e = 0. |
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58 | //! The solutions must be contained in [InfBound, SupBound]. |
59 | //! InfBound and SupBound can be set by default to 0 and 2*PI. |
60 | Standard_EXPORT math_TrigonometricFunctionRoots(const Standard_Real C, const Standard_Real D, const Standard_Real E, const Standard_Real InfBound, const Standard_Real SupBound); |
61 | |
62 | //! Returns true if the computations are successful, otherwise returns false. |
63 | Standard_Boolean IsDone() const; |
64 | |
65 | //! Returns true if there is an infinity of roots, otherwise returns false. |
66 | Standard_Boolean InfiniteRoots() const; |
67 | |
68 | //! Returns the solution of range Index. |
69 | //! An exception is raised if NotDone. |
70 | //! An exception is raised if Index>NbSolutions. |
71 | //! An exception is raised if there is an infinity of solutions. |
72 | Standard_Real Value (const Standard_Integer Index) const; |
73 | |
74 | //! Returns the number of solutions found. |
75 | //! An exception is raised if NotDone. |
76 | //! An exception is raised if there is an infinity of solutions. |
77 | Standard_Integer NbSolutions() const; |
78 | |
79 | //! Prints information on the current state of the object. |
80 | Standard_EXPORT void Dump (Standard_OStream& o) const; |
81 | |
82 | |
83 | |
84 | |
85 | protected: |
86 | |
87 | |
88 | //! is used by the constructors above. |
89 | 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); |
90 | |
91 | |
92 | |
93 | |
94 | private: |
95 | |
96 | |
97 | |
98 | Standard_Integer NbSol; |
99 | TColStd_Array1OfReal Sol; |
100 | Standard_Boolean InfiniteStatus; |
101 | Standard_Boolean Done; |
102 | |
103 | |
104 | }; |
105 | |
106 | |
107 | #include <math_TrigonometricFunctionRoots.lxx> |
108 | |
109 | |
110 | |
111 | |
112 | |
113 | #endif // _math_TrigonometricFunctionRoots_HeaderFile |