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1 | // Created on: 1991-05-13 |
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_DirectPolynomialRoots_HeaderFile |
18 | #define _math_DirectPolynomialRoots_HeaderFile |
19 | |
20 | #include <Standard.hxx> |
21 | #include <Standard_DefineAlloc.hxx> |
22 | #include <Standard_Handle.hxx> |
23 | |
24 | #include <Standard_Boolean.hxx> |
25 | #include <Standard_Integer.hxx> |
26 | #include <Standard_Real.hxx> |
27 | #include <Standard_OStream.hxx> |
28 | class Standard_RangeError; |
29 | class StdFail_InfiniteSolutions; |
30 | |
31 | |
32 | |
33 | //! This class implements the calculation of all the real roots of a real |
34 | //! polynomial of degree <= 4 using a direct method. Once found, |
35 | //! the roots are polished using the Newton method. |
36 | class math_DirectPolynomialRoots |
37 | { |
38 | public: |
39 | |
40 | DEFINE_STANDARD_ALLOC |
41 | |
42 | |
43 | |
44 | //! computes all the real roots of the polynomial |
45 | //! Ax4 + Bx3 + Cx2 + Dx + E using a direct method. |
46 | Standard_EXPORT math_DirectPolynomialRoots(const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D, const Standard_Real E); |
47 | |
48 | |
49 | //! computes all the real roots of the polynomial |
50 | //! Ax3 + Bx2 + Cx + D using a direct method. |
51 | Standard_EXPORT math_DirectPolynomialRoots(const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D); |
52 | |
53 | |
54 | //! computes all the real roots of the polynomial |
55 | //! Ax2 + Bx + C using a direct method. |
56 | Standard_EXPORT math_DirectPolynomialRoots(const Standard_Real A, const Standard_Real B, const Standard_Real C); |
57 | |
58 | |
59 | //! computes the real root of the polynomial Ax + B. |
60 | Standard_EXPORT math_DirectPolynomialRoots(const Standard_Real A, const Standard_Real B); |
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 number of solutions. |
69 | //! An exception is raised if there are an infinity of roots. |
70 | Standard_Integer NbSolutions() const; |
71 | |
72 | //! returns the value of the Nieme root. |
73 | //! An exception is raised if there are an infinity of roots. |
74 | //! Exception RangeError is raised if Nieme is < 1 |
75 | //! or Nieme > NbSolutions. |
76 | Standard_Real Value (const Standard_Integer Nieme) const; |
77 | |
78 | //! Prints on the stream o information on the current state |
79 | //! of the object. |
80 | //! Is used to redefine the operator <<. |
81 | Standard_EXPORT void Dump (Standard_OStream& o) const; |
82 | |
83 | |
84 | |
85 | |
86 | protected: |
87 | |
88 | |
89 | Standard_EXPORT void Solve (const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D, const Standard_Real E); |
90 | |
91 | Standard_EXPORT void Solve (const Standard_Real A, const Standard_Real B, const Standard_Real C, const Standard_Real D); |
92 | |
93 | Standard_EXPORT void Solve (const Standard_Real A, const Standard_Real B, const Standard_Real C); |
94 | |
95 | Standard_EXPORT void Solve (const Standard_Real A, const Standard_Real B); |
96 | |
97 | |
98 | |
99 | |
100 | private: |
101 | |
102 | |
103 | |
104 | Standard_Boolean Done; |
105 | Standard_Boolean InfiniteStatus; |
106 | Standard_Integer NbSol; |
107 | Standard_Real TheRoots[4]; |
108 | |
109 | |
110 | }; |
111 | |
112 | |
113 | #include <math_DirectPolynomialRoots.lxx> |
114 | |
115 | |
116 | |
117 | |
118 | |
119 | #endif // _math_DirectPolynomialRoots_HeaderFile |