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0001 // Created on: 1992-10-20 0002 // Created by: Remi GILET 0003 // Copyright (c) 1992-1999 Matra Datavision 0004 // Copyright (c) 1999-2014 OPEN CASCADE SAS 0005 // 0006 // This file is part of Open CASCADE Technology software library. 0007 // 0008 // This library is free software; you can redistribute it and/or modify it under 0009 // the terms of the GNU Lesser General Public License version 2.1 as published 0010 // by the Free Software Foundation, with special exception defined in the file 0011 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT 0012 // distribution for complete text of the license and disclaimer of any warranty. 0013 // 0014 // Alternatively, this file may be used under the terms of Open CASCADE 0015 // commercial license or contractual agreement. 0016 0017 #ifndef _Geom2dGcc_Circ2d2TanRad_HeaderFile 0018 #define _Geom2dGcc_Circ2d2TanRad_HeaderFile 0019 0020 #include <Standard.hxx> 0021 #include <Standard_DefineAlloc.hxx> 0022 #include <Standard_Handle.hxx> 0023 0024 #include <TColgp_Array1OfCirc2d.hxx> 0025 #include <Standard_Integer.hxx> 0026 #include <GccEnt_Array1OfPosition.hxx> 0027 #include <TColStd_Array1OfInteger.hxx> 0028 #include <TColgp_Array1OfPnt2d.hxx> 0029 #include <TColStd_Array1OfReal.hxx> 0030 #include <GccEnt_Position.hxx> 0031 class Geom2dGcc_QualifiedCurve; 0032 class Geom2d_Point; 0033 class GccAna_Circ2d2TanRad; 0034 class Geom2dGcc_Circ2d2TanRadGeo; 0035 class gp_Circ2d; 0036 class gp_Pnt2d; 0037 0038 0039 //! This class implements the algorithms used to 0040 //! create 2d circles tangent to one curve and a 0041 //! point/line/circle/curv and with a given radius. 0042 //! For each construction methods arguments are: 0043 //! - Two Qualified elements for tangency constrains. 0044 //! (for example EnclosedCirc if we want the 0045 //! solution inside the argument EnclosedCirc). 0046 //! - Two Reals. One (Radius) for the radius and the 0047 //! other (Tolerance) for the tolerance. 0048 //! Tolerance is only used for the limit cases. 0049 //! For example : 0050 //! We want to create a circle inside a circle C1 and 0051 //! inside a curve Cu2 with a radius Radius and a 0052 //! tolerance Tolerance. 0053 //! If we did not used Tolerance it is impossible to 0054 //! find a solution in the following case : Cu2 is 0055 //! inside C1 and there is no intersection point 0056 //! between the two elements. 0057 //! with Tolerance we will give a solution if the 0058 //! lowest distance between C1 and Cu2 is lower than or 0059 //! equal Tolerance. 0060 class Geom2dGcc_Circ2d2TanRad 0061 { 0062 public: 0063 0064 DEFINE_STANDARD_ALLOC 0065 0066 0067 Standard_EXPORT Geom2dGcc_Circ2d2TanRad(const Geom2dGcc_QualifiedCurve& Qualified1, const Geom2dGcc_QualifiedCurve& Qualified2, const Standard_Real Radius, const Standard_Real Tolerance); 0068 0069 Standard_EXPORT Geom2dGcc_Circ2d2TanRad(const Geom2dGcc_QualifiedCurve& Qualified1, const Handle(Geom2d_Point)& Point, const Standard_Real Radius, const Standard_Real Tolerance); 0070 0071 //! These constructors create one or more 2D circles of radius Radius either 0072 //! - tangential to the 2 curves Qualified1 and Qualified2, or 0073 //! - tangential to the curve Qualified1 and passing through the point Point, or 0074 //! - passing through two points Point1 and Point2. 0075 //! Tolerance is a tolerance criterion used by the algorithm 0076 //! to find a solution when, mathematically, the problem 0077 //! posed does not have a solution, but where there is 0078 //! numeric uncertainty attached to the arguments. 0079 //! For example, take two circles C1 and C2, such that C2 0080 //! is inside C1, and almost tangential to C1. There is, in 0081 //! fact, no point of intersection between C1 and C2. You 0082 //! now want to find a circle of radius R (smaller than the 0083 //! radius of C2), which is tangential to C1 and C2, and 0084 //! inside these two circles: a pure mathematical resolution 0085 //! will not find a solution. This is where the tolerance 0086 //! criterion is used: the algorithm considers that C1 and 0087 //! C2 are tangential if the shortest distance between these 0088 //! two circles is less than or equal to Tolerance. Thus, a 0089 //! solution is found by the algorithm. 0090 //! Exceptions 0091 //! GccEnt_BadQualifier if a qualifier is inconsistent with 0092 //! the argument it qualifies (for example, enclosing for a line). 0093 //! Standard_NegativeValue if Radius is negative. 0094 Standard_EXPORT Geom2dGcc_Circ2d2TanRad(const Handle(Geom2d_Point)& Point1, const Handle(Geom2d_Point)& Point2, const Standard_Real Radius, const Standard_Real Tolerance); 0095 0096 Standard_EXPORT void Results (const GccAna_Circ2d2TanRad& Circ); 0097 0098 Standard_EXPORT void Results (const Geom2dGcc_Circ2d2TanRadGeo& Circ); 0099 0100 //! This method returns True if the algorithm succeeded. 0101 //! Note: IsDone protects against a failure arising from a 0102 //! more internal intersection algorithm, which has reached its numeric limits. 0103 Standard_EXPORT Standard_Boolean IsDone() const; 0104 0105 //! This method returns the number of solutions. 0106 //! NotDone is raised if the algorithm failed. 0107 //! Exceptions 0108 //! StdFail_NotDone if the construction fails. 0109 Standard_EXPORT Standard_Integer NbSolutions() const; 0110 0111 //! Returns the solution number Index and raises OutOfRange 0112 //! exception if Index is greater than the number of solutions. 0113 //! Be careful: the Index is only a way to get all the 0114 //! solutions, but is not associated to these outside the context of the algorithm-object. 0115 //! Warning 0116 //! This indexing simply provides a means of consulting the 0117 //! solutions. The index values are not associated with 0118 //! these solutions outside the context of the algorithm object. 0119 //! Exceptions 0120 //! Standard_OutOfRange if Index is less than zero or 0121 //! greater than the number of solutions computed by this algorithm. 0122 //! StdFail_NotDone if the construction fails. 0123 Standard_EXPORT gp_Circ2d ThisSolution (const Standard_Integer Index) const; 0124 0125 //! Returns the qualifiers Qualif1 and Qualif2 of the 0126 //! tangency arguments for the solution of index Index 0127 //! computed by this algorithm. 0128 //! The returned qualifiers are: 0129 //! - those specified at the start of construction when the 0130 //! solutions are defined as enclosed, enclosing or 0131 //! outside with respect to the arguments, or 0132 //! - those computed during construction (i.e. enclosed, 0133 //! enclosing or outside) when the solutions are defined 0134 //! as unqualified with respect to the arguments, or 0135 //! - GccEnt_noqualifier if the tangency argument is a point, or 0136 //! - GccEnt_unqualified in certain limit cases where it 0137 //! is impossible to qualify the solution as enclosed, enclosing or outside. 0138 //! Exceptions 0139 //! Standard_OutOfRange if Index is less than zero or 0140 //! greater than the number of solutions computed by this algorithm. 0141 //! StdFail_NotDone if the construction fails. 0142 Standard_EXPORT void WhichQualifier (const Standard_Integer Index, GccEnt_Position& Qualif1, GccEnt_Position& Qualif2) const; 0143 0144 //! Returns information about the tangency point between the 0145 //! result number Index and the first argument. 0146 //! ParSol is the intrinsic parameter of the point PntSol on the solution curv. 0147 //! ParArg is the intrinsic parameter of the point PntSol on the argument curv. 0148 //! OutOfRange is raised if Index is greater than the number of solutions. 0149 //! notDone is raised if the construction algorithm did not succeed. 0150 Standard_EXPORT void Tangency1 (const Standard_Integer Index, Standard_Real& ParSol, Standard_Real& ParArg, gp_Pnt2d& PntSol) const; 0151 0152 //! Returns information about the tangency point between the 0153 //! result number Index and the second argument. 0154 //! ParSol is the intrinsic parameter of the point PntSol on the solution curv. 0155 //! ParArg is the intrinsic parameter of the point PntSol on the argument curv. 0156 //! OutOfRange is raised if Index is greater than the number of solutions. 0157 //! notDone is raised if the construction algorithm did not succeed. 0158 Standard_EXPORT void Tangency2 (const Standard_Integer Index, Standard_Real& ParSol, Standard_Real& ParArg, gp_Pnt2d& PntSol) const; 0159 0160 //! Returns true if the solution of index Index and, 0161 //! respectively, the first or second argument of this 0162 //! algorithm are the same (i.e. there are 2 identical circles). 0163 //! If Rarg is the radius of the first or second argument, 0164 //! Rsol is the radius of the solution and dist is the 0165 //! distance between the two centers, we consider the two 0166 //! circles to be identical if |Rarg - Rsol| and dist 0167 //! are less than or equal to the tolerance criterion given at 0168 //! the time of construction of this algorithm. 0169 //! OutOfRange is raised if Index is greater than the number of solutions. 0170 //! notDone is raised if the construction algorithm did not succeed. 0171 Standard_EXPORT Standard_Boolean IsTheSame1 (const Standard_Integer Index) const; 0172 0173 //! Returns true if the solution of index Index and, 0174 //! respectively, the first or second argument of this 0175 //! algorithm are the same (i.e. there are 2 identical circles). 0176 //! If Rarg is the radius of the first or second argument, 0177 //! Rsol is the radius of the solution and dist is the 0178 //! distance between the two centers, we consider the two 0179 //! circles to be identical if |Rarg - Rsol| and dist 0180 //! are less than or equal to the tolerance criterion given at 0181 //! the time of construction of this algorithm. 0182 //! OutOfRange is raised if Index is greater than the number of solutions. 0183 //! notDone is raised if the construction algorithm did not succeed. 0184 Standard_EXPORT Standard_Boolean IsTheSame2 (const Standard_Integer Index) const; 0185 0186 0187 0188 0189 protected: 0190 0191 0192 0193 0194 0195 private: 0196 0197 0198 0199 Standard_Boolean WellDone; 0200 TColgp_Array1OfCirc2d cirsol; 0201 Standard_Integer NbrSol; 0202 GccEnt_Array1OfPosition qualifier1; 0203 GccEnt_Array1OfPosition qualifier2; 0204 TColStd_Array1OfInteger TheSame1; 0205 TColStd_Array1OfInteger TheSame2; 0206 TColgp_Array1OfPnt2d pnttg1sol; 0207 TColgp_Array1OfPnt2d pnttg2sol; 0208 TColStd_Array1OfReal par1sol; 0209 TColStd_Array1OfReal par2sol; 0210 TColStd_Array1OfReal pararg1; 0211 TColStd_Array1OfReal pararg2; 0212 Standard_Boolean Invert; 0213 0214 0215 }; 0216 0217 0218 0219 0220 0221 0222 0223 #endif // _Geom2dGcc_Circ2d2TanRad_HeaderFile
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