Arc3D

Class full path: NemAll_Python_Geometry.Arc3D

Representation class for 3D arc.

The Arc3D is defined like the Arc2D. The only difference is, that the normal of the plane the arc is lying in might be rotated around the x-axis.

Attributes

Center: Point3D property writable

Get center.

CenterRel: Point3D property writable

Get center in relative coordinate system

CounterClockwise: bool property writable

Returns winding direction counterclockwise true/false

DeltaAngle: Angle property writable

Get the delta angle

EndAngle: Angle property writable

Get end angle.

EndPoint: Point3D property writable

Get end point in world coordinates

EndRelPoint: Point3D property

Get end point in relative coordinates

MajorRadius: float property writable

Get major radius.

MinorRadius: float property writable

Get minor radius.

NormVector: Vector3D property writable

Get normvector.

Origin: Point3D property writable

Get Origin.

RefPlacement: AxisPlacement3D property writable

Get the reference placement

RefPlacementRel: AxisPlacement3D property writable

Get the reference placement

RefPoint: Point3D property writable

Get the reference point

StartAngle: Angle property writable

Get start angle.

StartPoint: Point3D property writable

Get start point in world coordinates

StartRelPoint: Point3D property

Get start point in relative coordinates

Functions

Close()

Close the arc.

Set the delta angle to 2Pi, to close the arc

EqualRef(arc)

Test for equal reference point

Parameters:

Name	Type	Description	Default
arc	Arc3D	Arc3D to compare with	required

Returns:

Type	Description
bool	result as bool.

GetCenter()

Get center.

Returns:

Type	Description
Point3D	Point3D center point

GetCenterRel()

Get center in relative coordinate system

Returns:

Type	Description
Point3D	Point3D center point

GetDeltaAngle()

Get the delta angle

Returns:

Type	Description
Angle	delta angle

GetEndAngle()

Get end angle.

Returns:

Type	Description
Angle	angle as const Angle.

GetEndPoint()

Get end point in world coordinates

Returns:

Type	Description
Point3D	end point.

GetEndRelPoint()

Get end point in relative coordinates

Returns:

Type	Description
Point3D	End Point in relative coordinates.

GetLocalPoint(point)

Get the local coordinates of a global world point

Parameters:

Name	Type	Description	Default
point	Point3D		required

Returns:

Type	Description
Point3D	point angle

GetMajorAxis()

Get the major axis The major axis is calculated according to the plane normal and the axis angle

Returns:

Type	Description
Vector3D	major axis as Vector3D

GetMajorRadius()

Get major radius.

Returns:

Type	Description
float	major radius as const double.

GetMinorAxis()

Get the minor axis The minor axis is calculated via the cross product of major axis and plane normal

Returns:

Type	Description
Vector3D	minor axis as Vector3D

GetMinorRadius()

Get minor radius.

Returns:

Type	Description
float	minor radius as const double.

GetNormVector()

Get normvector.

Returns:

Type	Description
Vector3D	normvector as const Vector3D.

GetOrigin()

Get Origin.

Returns:

Type	Description
Point3D	Point3D Origin

GetPoint(angle)

Get point on arc with given angle in world coordinates

Parameters:

Name	Type	Description	Default
angle	Angle	central angle of the point	required

Returns:

Type	Description
Point3D	point on arc as Point3D.

GetPointAngle(point)

Get the angle of a point

Parameters:

Name	Type	Description	Default
point	Point3D		required

Returns:

Type	Description
Angle	point angle

GetPointRel(angle)

Get point on arc with given angle in relative coordinates

Parameters:

Name	Type	Description	Default
angle	Angle	central angle of the point	required

Returns:

Type	Description
Point3D	point on arc as Point3D.

GetRefPlacement()

Get the reference placement

Returns:

Type	Description
AxisPlacement3D	reference placement

GetRefPlacementRel()

Get the reference placement

Returns:

Type	Description
AxisPlacement3D	reference placement

GetRefPoint()

Get the reference point

Returns:

Type	Description
Point3D	reference point

GetStartAngle()

Get start angle.

Returns:

Type	Description
Angle	angle as const Angle.

GetStartPoint()

Get start point in world coordinates

Returns:

Type	Description
Point3D	start point

GetStartRelPoint()

Get start point in relative coordinates

Returns:

Type	Description
Point3D	start point in relative coordinates

GetXAxis()

Get Major axis (X-Axis of the placement).

Returns:

Type	Description
Vector3D	Major axis as const Vector3D.

GetZAxis()

Get Normal vector of the placement.

Returns:

Type	Description
Vector3D	Normal vector as const Vector3D.

IsAngleOnArc(angle)

Checks if the given angle lies on the arc

Parameters:

Name	Type	Description	Default
angle	Angle	angle angle to test	required

Returns:

Type	Description
bool	Angle on arc true/false

IsCircle()

Check if minor radius equals major radius

Returns:

Type	Description
bool	result of check as bool.

IsClockwise()

Returns winding direction clockwise true/false

Returns:

Type	Description
bool	Is winding direction clockwise true/false

IsClosed()

Check delta angle is 2pi

Returns:

Type	Description
bool	result of check as bool.

IsCounterClockwise()

Returns winding direction counterclockwise true/false

Returns:

Type	Description
bool	Is winding direction counterclockwise true/false

IsEpsilonClosed()

Check delta angle is 2pi

Returns:

Type	Description
bool	result of check as bool.

IsValid()

Checks if the arc is valid

Returns:

Type	Description
bool	Validity true/false

Reverse()

Reverse of current arc

Method reverse Arc, start with end angle and orientation.

RotateAroundLocalZAxis(angle)

Rotate the arc around the Z-axis (normal vector)

Parameters:

Name	Type	Description	Default
angle	Angle	Rotation angle	required

SetCenter(center)

Set center point.

Parameters:

Name	Type	Description	Default
center	Point3D	center point	required

SetCenterRel(center)

Set center point in local coordinate system

Parameters:

Name	Type	Description	Default
center	Point3D	center point	required

SetClockwise overload

SetClockwise(cw)

Set the winding direction of the arc

Parameters:

Name	Type	Description	Default
cw	bool	winding clockwise true/false	required

SetClockwise()

Set the winding direction of the arc to CW

SetCounterClockwise overload

SetCounterClockwise(ccw)

Set the winding direction of the arc

Parameters:

Name	Type	Description	Default
ccw	bool	winding counterclockwise true/false	required

SetCounterClockwise()

Set the winding direction of the arc to CCW

SetDeltaAngle(deltaAngle)

Set the delta angle.

Set the delta angle

Parameters:

Name	Type	Description	Default
deltaAngle	Angle	angle which will be set.	required

SetEndAngle overload

SetEndAngle(angle)

Set end angle.

Set the end angle and normalize it to [0,2PI[

Parameters:

Name	Type	Description	Default
angle	Angle	angle which will be set.	required

SetEndAngle(angle, ccw)

Set end angle.

Set the end angle and normalize it to [0,2PI[

Parameters:

Name	Type	Description	Default
angle	Angle	angle which will be set.	required
ccw	bool	in counterclockwise winding	required

SetEndPoint(endpoint)

Set the end point of an object in world coordinates

Parameters:

Name	Type	Description	Default
endpoint	Point3D	New end point of curve	required

SetMajorRadius(radius)

Set major radius.

Parameters:

Name	Type	Description	Default
radius	float	major radius	required

SetMinorRadius(radius)

Set minor radius.

Parameters:

Name	Type	Description	Default
radius	float	minor radius	required

SetNormVector(normalVec)

Set the normvector

Set the plane normal and normalizes it to unit vector

Parameters:

Name	Type	Description	Default
normalVec	Vector3D	Vector3D to be set	required

SetOrigin(center)

Set Origin

Parameters:

Name	Type	Description	Default
center	Point3D	Origin	required

SetRefPlacement overload

SetRefPlacement(refPlacement)

Set the reference placement

Parameters:

Name	Type	Description	Default
refPlacement	AxisPlacement3D	reference placement	required

SetRefPlacement(center, xAxis, normalVec)

Set the reference placement

Parameters:

Name	Type	Description	Default
center	Point3D	center point	required
xAxis	Vector3D	X-axis of the arc	required
normalVec	Vector3D	normal vector (Z-axis) of the arc	required

SetRefPlacementRel(refPlacement)

Set the reference placement relative to the refPoint

Parameters:

Name	Type	Description	Default
refPlacement	AxisPlacement3D	reference placement	required

SetRefPoint(refPoint)

Set the reference point

Parameters:

Name	Type	Description	Default
refPoint	Point3D	reference point	required

SetStartAngle overload

SetStartAngle(angle)

Set start angle

Set the start angle and normalize it to [0,2PI[

Parameters:

Name	Type	Description	Default
angle	Angle	angle which will be set.	required

SetStartAngle(angle, ccw)

Set start angle.

Set the start angle and normalize it to [0,2PI[

Parameters:

Name	Type	Description	Default
angle	Angle	angle which will be set.	required
ccw	bool	in counterclockwise winding	required

SetStartPoint(startpoint)

Set the start point of an object in world coordinates

Parameters:

Name	Type	Description	Default
startpoint	Point3D	New start point of curve	required

__eq__(arc)

Comparison of arcs without tolerance.

Be careful, this method work without tolerance!

Parameters:

Name	Type	Description	Default
arc	Arc3D	Compared arc.	required

Returns:

Type	Description
object	True when arcs are equal, otherwise false.

__init__ overload

__init__()

initialize

__init__(arc)

Copy constructor.

Parameters:

Name	Type	Description	Default
arc	Arc3D	Arc3D which will be copied.	required

__init__(center, xDir, normVector, minor, major, startAngle, deltaAngle)

Constructor

Parameters:

Name	Type	Description	Default
center	Point3D	Center point	required
xDir	Vector3D	X-axis	required
normVector	Vector3D	Normal vector	required
minor	float	Minor radius	required
major	float	Major radius	required
startAngle	float	Start angle	required
deltaAngle	float	Delta angle	required

__init__(center, xDir, normVector, minor, major, startAngle, endAngle, counterClockwise)

Constructor

Parameters:

Name	Type	Description	Default
center	Point3D	Center point	required
xDir	Vector3D	X-axis	required
normVector	Vector3D	Normal vector	required
minor	float	Minor radius	required
major	float	Major radius	required
startAngle	float	Start angle	required
endAngle	float	End angle	required
counterClockwise	bool	Winding direction	required

__init__(center, minor, major, startAngle, deltaAngle)

Constructor

Parameters:

Name	Type	Description	Default
center	Point3D	Center point	required
minor	float	Minor radius	required
major	float	Major radius	required
startAngle	float	Start angle	required
deltaAngle	float	Delta angle	required

__init__(center, minor, major, startAngle, endAngle, counterClockwise)

Constructor

Parameters:

Name	Type	Description	Default
center	Point3D	Center point	required
minor	float	Minor radius	required
major	float	Major radius	required
startAngle	float	Start angle	required
endAngle	float	End angle	required
counterClockwise	bool	Winding direction	required

__init__(placement, minor, major, startAngle, deltaAngle)

Constructor

Parameters:

Name	Type	Description	Default
placement	AxisPlacement3D	3D Placement	required
minor	float	Minor radius	required
major	float	Major radius	required
startAngle	float	Start angle	required
deltaAngle	float	Delta angle	required

__init__(placement, minor, major, startAngle, endAngle, counterClockwise)

Constructor

Parameters:

Name	Type	Description	Default
placement	AxisPlacement3D	3D Placement	required
minor	float	Minor radius	required
major	float	Major radius	required
startAngle	float	Start angle	required
endAngle	float	End angle	required
counterClockwise	bool	Winding direction	required

__init__(arc2D)

Constructor

Parameters:

Name	Type	Description	Default
arc2D	Arc2D	Arc to copy	required

__repr__()

Convert to string