Describes a circle in 3D space. A circle is defined by its radius and positioned in space with a coordinate system (a gp_Ax2 object) as follows:
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| gp_Circ () |
| Creates an indefinite circle. More...
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| gp_Circ (const gp_Ax2 &theA2, const Standard_Real theRadius) |
| A2 locates the circle and gives its orientation in 3D space. Warnings : It is not forbidden to create a circle with theRadius = 0.0 Raises ConstructionError if theRadius < 0.0. More...
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void | SetAxis (const gp_Ax1 &theA1) |
| Changes the main axis of the circle. It is the axis perpendicular to the plane of the circle. Raises ConstructionError if the direction of theA1 is parallel to the "XAxis" of the circle. More...
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void | SetLocation (const gp_Pnt &theP) |
| Changes the "Location" point (center) of the circle. More...
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void | SetPosition (const gp_Ax2 &theA2) |
| Changes the position of the circle. More...
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void | SetRadius (const Standard_Real theRadius) |
| Modifies the radius of this circle. Warning. 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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const gp_Ax1 & | Axis () const |
| Returns the main axis of the circle. It is the axis perpendicular to the plane of the circle, passing through the "Location" point (center) of the circle. More...
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Standard_Real | Length () const |
| Computes the circumference of the circle. More...
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const gp_Pnt & | Location () const |
| Returns the center of the circle. It is the "Location" point of the local coordinate system of the circle. More...
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const gp_Ax2 & | Position () const |
| Returns the position of the circle. It is the local coordinate system of the circle. More...
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Standard_Real | Radius () const |
| Returns the radius of this circle. More...
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gp_Ax1 | XAxis () const |
| Returns the "XAxis" of the circle. This axis is perpendicular to the axis of the conic. This axis and the "Yaxis" define the plane of the conic. More...
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gp_Ax1 | YAxis () const |
| Returns the "YAxis" of the circle. This axis and the "Xaxis" define the plane of the conic. The "YAxis" is perpendicular to the "Xaxis". More...
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Standard_Real | Distance (const gp_Pnt &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_Pnt &theP) const |
| Computes the square distance between <me> and the point theP. More...
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Standard_Boolean | Contains (const gp_Pnt &theP, const Standard_Real theLinearTolerance) const |
| Returns True if the point theP is on the circumference. The distance between <me> and <theP> must be lower or equal to theLinearTolerance. More...
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void | Mirror (const gp_Pnt &theP) |
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gp_Circ | Mirrored (const gp_Pnt &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_Ax1 &theA1) |
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gp_Circ | Mirrored (const gp_Ax1 &theA1) 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 | Mirror (const gp_Ax2 &theA2) |
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gp_Circ | Mirrored (const gp_Ax2 &theA2) const |
| Performs the symmetrical transformation of a circle with respect to a plane. The axis placement theA2 locates the plane of the of the symmetry : (Location, XDirection, YDirection). More...
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void | Rotate (const gp_Ax1 &theA1, const Standard_Real theAng) |
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gp_Circ | Rotated (const gp_Ax1 &theA1, const Standard_Real theAng) const |
| Rotates a circle. theA1 is the axis of the rotation. theAng is the angular value of the rotation in radians. More...
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void | Scale (const gp_Pnt &theP, const Standard_Real theS) |
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gp_Circ | Scaled (const gp_Pnt &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_Trsf &theT) |
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gp_Circ | Transformed (const gp_Trsf &theT) const |
| Transforms a circle with the transformation theT from class Trsf. More...
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void | Translate (const gp_Vec &theV) |
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gp_Circ | Translated (const gp_Vec &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_Pnt &theP1, const gp_Pnt &theP2) |
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gp_Circ | Translated (const gp_Pnt &theP1, const gp_Pnt &theP2) const |
| Translates a circle from the point theP1 to the point theP2. More...
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Describes a circle in 3D space. A circle is defined by its radius and positioned in space with a coordinate system (a gp_Ax2 object) as follows:
- the origin of the coordinate system is the center of the circle, and
- the origin, "X Direction" and "Y Direction" of the coordinate system define the plane of the circle. This positioning coordinate system is the "local
coordinate system" of the circle. Its "main Direction" gives the normal vector to the plane of the circle. The "main Axis" of the coordinate system is referred to as the "Axis" of the circle. Note: when a gp_Circ circle is converted into a Geom_Circle circle, some implicit properties of the circle are used explicitly:
- the "main Direction" of the local coordinate system gives an implicit orientation to the circle (and defines its trigonometric sense),
- this 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 gce_MakeCirc which provides functions for more complex circle constructions Geom_Circle which provides additional functions for constructing circles and works, in particular, with the parametric equations of circles