Describes a circle in the plane (2D space). A circle is defined by its radius and positioned in the plane with a coordinate system (a gp_Ax22d object) as follows:
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| gp_Circ2d () |
| creates an indefinite circle. More...
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| gp_Circ2d (const gp_Ax2d &theXAxis, const Standard_Real theRadius, const Standard_Boolean theIsSense=Standard_True) |
| The location point of theXAxis is the center of the circle. Warnings : It is not forbidden to create a circle with theRadius = 0.0 Raises ConstructionError if theRadius < 0.0. Raised if theRadius < 0.0. More...
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| gp_Circ2d (const gp_Ax22d &theAxis, const Standard_Real theRadius) |
| theAxis defines the Xaxis and Yaxis of the circle which defines the origin and the sense of parametrization. The location point of theAxis is the center of the circle. Warnings : It is not forbidden to create a circle with theRadius = 0.0 Raises ConstructionError if theRadius < 0.0. Raised if theRadius < 0.0. More...
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void | SetLocation (const gp_Pnt2d &theP) |
| Changes the location point (center) of the circle. More...
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void | SetXAxis (const gp_Ax2d &theA) |
| Changes the X axis of the circle. More...
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void | SetAxis (const gp_Ax22d &theA) |
| Changes the X axis of the circle. More...
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void | SetYAxis (const gp_Ax2d &theA) |
| Changes the Y axis of the circle. More...
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void | SetRadius (const Standard_Real theRadius) |
| Modifies the radius of this circle. This class does not prevent the creation of a circle where theRadius is null. Exceptions Standard_ConstructionError if theRadius is negative. More...
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Standard_Real | Area () const |
| Computes the area of the circle. More...
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void | Coefficients (Standard_Real &theA, Standard_Real &theB, Standard_Real &theC, Standard_Real &theD, Standard_Real &theE, Standard_Real &theF) const |
| Returns the normalized coefficients from the implicit equation of the circle : theA * (X**2) + theB * (Y**2) + 2*theC*(X*Y) + 2*theD*X + 2*theE*Y + theF = 0.0. More...
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Standard_Boolean | Contains (const gp_Pnt2d &theP, const Standard_Real theLinearTolerance) const |
| Does <me> contain theP ? Returns True if the distance between theP and any point on the circumference of the circle is lower of equal to <theLinearTolerance>. More...
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Standard_Real | Distance (const gp_Pnt2d &theP) const |
| Computes the minimum of distance between the point theP and any point on the circumference of the circle. More...
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Standard_Real | SquareDistance (const gp_Pnt2d &theP) const |
| Computes the square distance between <me> and the point theP. More...
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Standard_Real | Length () const |
| computes the circumference of the circle. More...
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const gp_Pnt2d & | Location () const |
| Returns the location point (center) of the circle. More...
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Standard_Real | Radius () const |
| Returns the radius value of the circle. More...
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const gp_Ax22d & | Axis () const |
| returns the position of the circle. More...
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const gp_Ax22d & | Position () const |
| returns the position of the circle. Idem Axis(me). More...
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gp_Ax2d | XAxis () const |
| returns the X axis of the circle. More...
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gp_Ax2d | YAxis () const |
| Returns the Y axis of the circle. Reverses the direction of the circle. More...
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void | Reverse () |
| Reverses the orientation of the local coordinate system of this circle (the "Y Direction" is reversed) and therefore changes the implicit orientation of this circle. Reverse assigns the result to this circle,. More...
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gp_Circ2d | Reversed () const |
| Reverses the orientation of the local coordinate system of this circle (the "Y Direction" is reversed) and therefore changes the implicit orientation of this circle. Reversed creates a new circle. More...
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Standard_Boolean | IsDirect () const |
| Returns true if the local coordinate system is direct and false in the other case. More...
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void | Mirror (const gp_Pnt2d &theP) |
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gp_Circ2d | Mirrored (const gp_Pnt2d &theP) const |
| Performs the symmetrical transformation of a circle with respect to the point theP which is the center of the symmetry. More...
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void | Mirror (const gp_Ax2d &theA) |
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gp_Circ2d | Mirrored (const gp_Ax2d &theA) const |
| Performs the symmetrical transformation of a circle with respect to an axis placement which is the axis of the symmetry. More...
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void | Rotate (const gp_Pnt2d &theP, const Standard_Real theAng) |
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gp_Circ2d | Rotated (const gp_Pnt2d &theP, const Standard_Real theAng) const |
| Rotates a circle. theP is the center of the rotation. Ang is the angular value of the rotation in radians. More...
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void | Scale (const gp_Pnt2d &theP, const Standard_Real theS) |
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gp_Circ2d | Scaled (const gp_Pnt2d &theP, const Standard_Real theS) const |
| Scales a circle. theS is the scaling value. Warnings : If theS is negative the radius stay positive but the "XAxis" and the "YAxis" are reversed as for an ellipse. More...
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void | Transform (const gp_Trsf2d &theT) |
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gp_Circ2d | Transformed (const gp_Trsf2d &theT) const |
| Transforms a circle with the transformation theT from class Trsf2d. More...
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void | Translate (const gp_Vec2d &theV) |
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gp_Circ2d | Translated (const gp_Vec2d &theV) const |
| Translates a circle in the direction of the vector theV. The magnitude of the translation is the vector's magnitude. More...
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void | Translate (const gp_Pnt2d &theP1, const gp_Pnt2d &theP2) |
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gp_Circ2d | Translated (const gp_Pnt2d &theP1, const gp_Pnt2d &theP2) const |
| Translates a circle from the point theP1 to the point theP2. More...
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Describes a circle in the plane (2D space). A circle is defined by its radius and positioned in the plane with a coordinate system (a gp_Ax22d object) as follows:
- the origin of the coordinate system is the center of the circle, and
- the orientation (direct or indirect) of the coordinate system gives an implicit orientation to the circle (and defines its trigonometric sense). This positioning coordinate system is the "local
coordinate system" of the circle. Note: when a gp_Circ2d circle is converted into a Geom2d_Circle circle, some implicit properties of the circle are used explicitly:
- the implicit orientation corresponds to the direction in which parameter values increase,
- the starting point for parameterization is that of the "X
Axis" of the local coordinate system (i.e. the "X Axis" of the circle). See Also GccAna and Geom2dGcc packages which provide functions for constructing circles defined by geometric constraints gce_MakeCirc2d which provides functions for more complex circle constructions Geom2d_Circle which provides additional functions for constructing circles and works, with the parametric equations of circles in particular gp_Ax22d