Open CASCADE Technology
7.5.0.beta

This class implements the algorithms used to create 2d circles tangent to 3 points/lines/circles/ curves with one curve or more. The arguments of all construction methods are : More...
#include <Geom2dGcc_Circ2d3Tan.hxx>
Public Member Functions  
Geom2dGcc_Circ2d3Tan (const Geom2dGcc_QualifiedCurve &Qualified1, const Geom2dGcc_QualifiedCurve &Qualified2, const Geom2dGcc_QualifiedCurve &Qualified3, const Standard_Real Tolerance, const Standard_Real Param1, const Standard_Real Param2, const Standard_Real Param3)  
Constructs one or more 2D circles tangential to three curves Qualified1, Qualified2 and Qualified3, where Param1, Param2 and Param3 are used, respectively, as the initial values of the parameters on Qualified1, Qualified2 and Qualified3 of the tangency point between these arguments and the solution sought, if the algorithm chooses an iterative method to find the solution (i.e. if either Qualified1, Qualified2 or Qualified3 is more complex than a line or a circle). More...  
Geom2dGcc_Circ2d3Tan (const Geom2dGcc_QualifiedCurve &Qualified1, const Geom2dGcc_QualifiedCurve &Qualified2, const Handle< Geom2d_Point > &Point, const Standard_Real Tolerance, const Standard_Real Param1, const Standard_Real Param2)  
Constructs one or more 2D circles tangential to two curves Qualified1 and Qualified2 and passing through the point Point, where Param1 and Param2 are used, respectively, as the initial values of the parameters on Qualified1 and Qualified2 of the tangency point between this argument and the solution sought, if the algorithm chooses an iterative method to find the solution (i.e. if either Qualified1 or Qualified2 is more complex than a line or a circle). More...  
Geom2dGcc_Circ2d3Tan (const Geom2dGcc_QualifiedCurve &Qualified1, const Handle< Geom2d_Point > &Point1, const Handle< Geom2d_Point > &Point2, const Standard_Real Tolerance, const Standard_Real Param1)  
Constructs one or more 2D circles tangential to the curve Qualified1 and passing through two points Point1 and Point2, where Param1 is used as the initial value of the parameter on Qualified1 of the tangency point between this argument and the solution sought, if the algorithm chooses an iterative method to find the solution (i.e. if Qualified1 is more complex than a line or a circle) More...  
Geom2dGcc_Circ2d3Tan (const Handle< Geom2d_Point > &Point1, const Handle< Geom2d_Point > &Point2, const Handle< Geom2d_Point > &Point3, const Standard_Real Tolerance)  
Constructs one or more 2D circles passing through three points Point1, Point2 and Point3. Tolerance is a tolerance criterion used by the algorithm to find a solution when, mathematically, the problem posed does not have a solution, but where there is numeric uncertainty attached to the arguments. For example, take: More...  
void  Results (const GccAna_Circ2d3Tan &Circ, const Standard_Integer Rank1, const Standard_Integer Rank2, const Standard_Integer Rank3) 
Standard_Boolean  IsDone () const 
Returns true if the construction algorithm does not fail (even if it finds no solution). Note: IsDone protects against a failure arising from a more internal intersection algorithm, which has reached its numeric limits. More...  
Standard_Integer  NbSolutions () const 
This method returns the number of solutions. NotDone is raised if the algorithm failed. More...  
gp_Circ2d  ThisSolution (const Standard_Integer Index) const 
Returns the solution number Index and raises OutOfRange exception if Index is greater than the number of solutions. Be carefull: the Index is only a way to get all the solutions, but is not associated to theses outside the context of the algorithmobject. More...  
void  WhichQualifier (const Standard_Integer Index, GccEnt_Position &Qualif1, GccEnt_Position &Qualif2, GccEnt_Position &Qualif3) const 
It returns the informations about the qualifiers of the tangency arguments concerning the solution number Index. It returns the real qualifiers (the qualifiers given to the constructor method in case of enclosed, enclosing and outside and the qualifiers computedin case of unqualified). More...  
void  Tangency1 (const Standard_Integer Index, Standard_Real &ParSol, Standard_Real &ParArg, gp_Pnt2d &PntSol) const 
Returns informations about the tangency point between the result and the first argument. ParSol is the intrinsic parameter of the point PntSol on the solution curv. ParArg is the intrinsic parameter of the point PntSol on the argument curv. More...  
void  Tangency2 (const Standard_Integer Index, Standard_Real &ParSol, Standard_Real &ParArg, gp_Pnt2d &PntSol) const 
Returns informations about the tangency point between the result and the second argument. ParSol is the intrinsic parameter of the point PntSol on the solution curv. ParArg is the intrinsic parameter of the point PntSol on the argument curv. More...  
void  Tangency3 (const Standard_Integer Index, Standard_Real &ParSol, Standard_Real &ParArg, gp_Pnt2d &PntSol) const 
Returns informations about the tangency point between the result and the third argument. ParSol is the intrinsic parameter of the point PntSol on the solution curv. ParArg is the intrinsic parameter of the point PntSol on the argument curv. More...  
Standard_Boolean  IsTheSame1 (const Standard_Integer Index) const 
Returns True if the solution is equal to the first argument. More...  
Standard_Boolean  IsTheSame2 (const Standard_Integer Index) const 
Returns True if the solution is equal to the second argument. More...  
Standard_Boolean  IsTheSame3 (const Standard_Integer Index) const 
Returns True if the solution is equal to the third argument. If Rarg is the radius of the first, second or third argument, Rsol is the radius of the solution and dist is the distance between the two centers, we consider the two circles to be identical if Rarg  Rsol and dist are less than or equal to the tolerance criterion given at the time of construction of this algorithm. Exceptions Standard_OutOfRange if Index is less than zero or greater than the number of solutions computed by this algorithm. StdFail_NotDone if the construction fails. More...  
This class implements the algorithms used to create 2d circles tangent to 3 points/lines/circles/ curves with one curve or more. The arguments of all construction methods are :
Geom2dGcc_Circ2d3Tan::Geom2dGcc_Circ2d3Tan  (  const Geom2dGcc_QualifiedCurve &  Qualified1, 
const Geom2dGcc_QualifiedCurve &  Qualified2,  
const Geom2dGcc_QualifiedCurve &  Qualified3,  
const Standard_Real  Tolerance,  
const Standard_Real  Param1,  
const Standard_Real  Param2,  
const Standard_Real  Param3  
) 
Constructs one or more 2D circles tangential to three curves Qualified1, Qualified2 and Qualified3, where Param1, Param2 and Param3 are used, respectively, as the initial values of the parameters on Qualified1, Qualified2 and Qualified3 of the tangency point between these arguments and the solution sought, if the algorithm chooses an iterative method to find the solution (i.e. if either Qualified1, Qualified2 or Qualified3 is more complex than a line or a circle).
Geom2dGcc_Circ2d3Tan::Geom2dGcc_Circ2d3Tan  (  const Geom2dGcc_QualifiedCurve &  Qualified1, 
const Geom2dGcc_QualifiedCurve &  Qualified2,  
const Handle< Geom2d_Point > &  Point,  
const Standard_Real  Tolerance,  
const Standard_Real  Param1,  
const Standard_Real  Param2  
) 
Constructs one or more 2D circles tangential to two curves Qualified1 and Qualified2 and passing through the point Point, where Param1 and Param2 are used, respectively, as the initial values of the parameters on Qualified1 and Qualified2 of the tangency point between this argument and the solution sought, if the algorithm chooses an iterative method to find the solution (i.e. if either Qualified1 or Qualified2 is more complex than a line or a circle).
Geom2dGcc_Circ2d3Tan::Geom2dGcc_Circ2d3Tan  (  const Geom2dGcc_QualifiedCurve &  Qualified1, 
const Handle< Geom2d_Point > &  Point1,  
const Handle< Geom2d_Point > &  Point2,  
const Standard_Real  Tolerance,  
const Standard_Real  Param1  
) 
Constructs one or more 2D circles tangential to the curve Qualified1 and passing through two points Point1 and Point2, where Param1 is used as the initial value of the parameter on Qualified1 of the tangency point between this argument and the solution sought, if the algorithm chooses an iterative method to find the solution (i.e. if Qualified1 is more complex than a line or a circle)
Geom2dGcc_Circ2d3Tan::Geom2dGcc_Circ2d3Tan  (  const Handle< Geom2d_Point > &  Point1, 
const Handle< Geom2d_Point > &  Point2,  
const Handle< Geom2d_Point > &  Point3,  
const Standard_Real  Tolerance  
) 
Constructs one or more 2D circles passing through three points Point1, Point2 and Point3. Tolerance is a tolerance criterion used by the algorithm to find a solution when, mathematically, the problem posed does not have a solution, but where there is numeric uncertainty attached to the arguments. For example, take:
Standard_Boolean Geom2dGcc_Circ2d3Tan::IsDone  (  )  const 
Returns true if the construction algorithm does not fail (even if it finds no solution). Note: IsDone protects against a failure arising from a more internal intersection algorithm, which has reached its numeric limits.
Standard_Boolean Geom2dGcc_Circ2d3Tan::IsTheSame1  (  const Standard_Integer  Index  )  const 
Returns True if the solution is equal to the first argument.
Standard_Boolean Geom2dGcc_Circ2d3Tan::IsTheSame2  (  const Standard_Integer  Index  )  const 
Returns True if the solution is equal to the second argument.
Standard_Boolean Geom2dGcc_Circ2d3Tan::IsTheSame3  (  const Standard_Integer  Index  )  const 
Returns True if the solution is equal to the third argument. If Rarg is the radius of the first, second or third argument, Rsol is the radius of the solution and dist is the distance between the two centers, we consider the two circles to be identical if Rarg  Rsol and dist are less than or equal to the tolerance criterion given at the time of construction of this algorithm. Exceptions Standard_OutOfRange if Index is less than zero or greater than the number of solutions computed by this algorithm. StdFail_NotDone if the construction fails.
Standard_Integer Geom2dGcc_Circ2d3Tan::NbSolutions  (  )  const 
This method returns the number of solutions. NotDone is raised if the algorithm failed.
void Geom2dGcc_Circ2d3Tan::Results  (  const GccAna_Circ2d3Tan &  Circ, 
const Standard_Integer  Rank1,  
const Standard_Integer  Rank2,  
const Standard_Integer  Rank3  
) 
void Geom2dGcc_Circ2d3Tan::Tangency1  (  const Standard_Integer  Index, 
Standard_Real &  ParSol,  
Standard_Real &  ParArg,  
gp_Pnt2d &  PntSol  
)  const 
Returns informations about the tangency point between the result and the first argument. ParSol is the intrinsic parameter of the point PntSol on the solution curv. ParArg is the intrinsic parameter of the point PntSol on the argument curv.
void Geom2dGcc_Circ2d3Tan::Tangency2  (  const Standard_Integer  Index, 
Standard_Real &  ParSol,  
Standard_Real &  ParArg,  
gp_Pnt2d &  PntSol  
)  const 
Returns informations about the tangency point between the result and the second argument. ParSol is the intrinsic parameter of the point PntSol on the solution curv. ParArg is the intrinsic parameter of the point PntSol on the argument curv.
void Geom2dGcc_Circ2d3Tan::Tangency3  (  const Standard_Integer  Index, 
Standard_Real &  ParSol,  
Standard_Real &  ParArg,  
gp_Pnt2d &  PntSol  
)  const 
Returns informations about the tangency point between the result and the third argument. ParSol is the intrinsic parameter of the point PntSol on the solution curv. ParArg is the intrinsic parameter of the point PntSol on the argument curv.
gp_Circ2d Geom2dGcc_Circ2d3Tan::ThisSolution  (  const Standard_Integer  Index  )  const 
Returns the solution number Index and raises OutOfRange exception if Index is greater than the number of solutions. Be carefull: the Index is only a way to get all the solutions, but is not associated to theses outside the context of the algorithmobject.
void Geom2dGcc_Circ2d3Tan::WhichQualifier  (  const Standard_Integer  Index, 
GccEnt_Position &  Qualif1,  
GccEnt_Position &  Qualif2,  
GccEnt_Position &  Qualif3  
)  const 
It returns the informations about the qualifiers of the tangency arguments concerning the solution number Index. It returns the real qualifiers (the qualifiers given to the constructor method in case of enclosed, enclosing and outside and the qualifiers computedin case of unqualified).