An ON_Arc is a subcurve of 3d circle. More...

#include <opennurbs_arc.h>

Inheritance diagram for ON_Arc:

Public Member Functions
	ON_Arc ()=default
	Create a radius one arc with angle = 2*pi. More...

	ON_Arc (const ON_Arc &)=default

	ON_Arc (const ON_Circle &circle, double angle_in_radians)
	Construct an arc from a circle and an angle in radians More...

	ON_Arc (const ON_Circle &circle, ON_Interval angle_interval_in_radians)

	ON_Arc (const ON_Plane &plane, double radius, double angle_in_radians)
	Construct an arc from a plane, radius and an angle in radians. The center of the arc is at the plane's origin. More...

	ON_Arc (const ON_3dPoint &center, double radius, double angle_in_radians)
	Construct an arc parallel to the world XY plane from a center point, radius, and angle in radians. The arc starts at center+(radius,0,0). More...

	ON_Arc (const ON_Plane &plane, const ON_3dPoint &center, double radius, double angle_in_radians)
	Construct an arc parallel to plane from a center point, radius, and angle in radians. The arc starts at center+radius*plane.xaxis. More...

	ON_Arc (const ON_2dPoint &start_point, const ON_2dPoint &interior_point, const ON_2dPoint &end_point)
	Construct an arc that passes through three 2d points. More...

	ON_Arc (const ON_3dPoint &start_point, const ON_3dPoint &interior_point, const ON_3dPoint &end_point)
	Construct an arc that passes through three 3d points. More...

	~ON_Arc ()=default

double	AngleDegrees () const

double	AngleRadians () const

ON_BoundingBox	BoundingBox () const
	Get arc's 3d axis aligned bounding box. More...

bool	ClosestPointTo (const ON_3dPoint &test_point, double *t) const
	Get the point on the arc that is closest to test_point. More...

ON_3dPoint	ClosestPointTo (const ON_3dPoint &test_point) const
	Get the point on the arc that is closest to test_point. More...

bool	Create (const ON_Circle &circle, double angle_in_radians)
	Create an arc from a circle and an angle in radians More...

bool	Create (const ON_Circle &circle, ON_Interval angle_interval_in_radians)
	Create an arc from a circle and an increasing angle interval More...

bool	Create (const ON_Plane &plane, double radius, double angle_in_radians)
	Create an arc from a plane, radius and an angle in radians. The center of the arc is at the plane's origin. More...

bool	Create (const ON_3dPoint &center, double radius, double angle_in_radians)
	Create an arc parallel to the world XY plane from a center point, radius, and angle in radians. The arc starts at center+(radius,0,0). More...

bool	Create (const ON_Plane &plane, const ON_3dPoint &center, double radius, double angle_in_radians)
	Create an arc parallel to plane from a center point, radius, and angle in radians. The arc starts at center+radius*plane.xaxis. More...

bool	Create (const ON_2dPoint &start_point, const ON_2dPoint &interior_point, const ON_2dPoint &end_point)
	Create an arc that passes through three 2d points. More...

bool	Create (const ON_3dPoint &start_point, const ON_3dPoint &interior_point, const ON_3dPoint &end_point)
	Create an arc that passes through three 3d points. More...

bool	Create (const ON_2dPoint &start_point, const ON_2dVector &dir_at_start, const ON_2dPoint &end_point)
	Create an arc from a 2d start point, 2d start direction and a 2d end point. More...

bool	Create (const ON_3dPoint &start_point, const ON_3dVector &dir_at_start, const ON_3dPoint &end_point)
	Create an arc from a 3d start point, 3d start direction and a 3d end point. More...

ON_Interval	Domain () const
	Get evaluation domain. More...

ON_Interval	DomainDegrees () const

ON_Interval	DomainRadians () const

void	Dump (ON_TextLog &dump) const
	Creates a text dump of the arc listing the normal, center radius, start point, end point, and angle. More...

ON_3dPoint	EndPoint () const

bool	GetBoundingBox (ON_BoundingBox &bbox, int bGrowBox=false) const
	Get arc's 3d axis aligned bounding box or the union of the input box with the arc's bounding box. More...

int	GetNurbForm (ON_NurbsCurve &nurbs_curve) const
	Get a rational degree 2 NURBS curve representation of the arc. Note that the parameterization of NURBS curve does not match arc's transcendental paramaterization. Use GetRadianFromNurbFormParameter() and GetParameterFromRadian() to convert between the NURBS curve parameter and the transcendental parameter More...

bool	GetNurbFormParameterFromRadian (double arc_radians_parameter, double *nurbs_parameter) const
	Convert a arc radians parameter to a NURBS curve arc parameter. More...

bool	GetRadianFromNurbFormParameter (double nurbs_parameter, double *arc_radians_parameter) const
	Convert a NURBS curve arc parameter to a arc radians parameter. More...

bool	GetTightBoundingBox (ON_BoundingBox &tight_bbox, bool bGrowBox=false, const ON_Xform *xform=nullptr) const
	Get tight bounding box. More...

bool	IsCircle () const

bool	IsValid () const
	Checks an arc to make sure it is valid. Detail: Radius>0 and 0<AngleRadians()<=2 ON_PI More...

double	Length () const

ON_3dPoint	MidPoint () const

ON_Arc &	operator= (const ON_Arc &)=default

ON_Arc &	operator= (const ON_Circle &)

bool	Reverse ()
	Reverse the orientation of the arc. Changes the domain from [a,b] to [-b.-a]. More...

double	SectorArea () const

ON_3dPoint	SectorAreaCentroid () const

double	SegmentArea () const

ON_3dPoint	SegmentAreaCentroid () const

bool	SetAngleDegrees (double angle_in_degrees)
	Set arc's subtended angle in degrees. More...

bool	SetAngleIntervalRadians (ON_Interval angle_in_radians)
	Set arc's angle interval in radians. More...

bool	SetAngleRadians (double angle_in_radians)
	Set arc's subtended angle in radians. More...

ON_3dPoint	StartPoint () const

bool	Trim (ON_Interval domain_radian)
	Set arc's domain as a subdomain of the circle. More...

Public Member Functions inherited from ON_Circle
	ON_Circle ()=default

	ON_Circle (const ON_Circle &)=default

	ON_Circle (const ON_Plane &plane, double radius)

	ON_Circle (const ON_3dPoint &center, double radius)

	ON_Circle (const ON_Plane &plane, const ON_3dPoint &center, double radius)

	ON_Circle (const ON_2dPoint &P, const ON_2dPoint &Q, const ON_2dPoint &R)

	ON_Circle (const ON_3dPoint &P, const ON_3dPoint &Q, const ON_3dPoint &R)

	~ON_Circle ()=default

ON_BoundingBox	BoundingBox () const

const ON_3dPoint &	Center () const

double	Circumference () const

bool	ClosestPointTo (const ON_3dPoint &point, double *t) const
	returns parameters of point on circle that is closest to given point More...

ON_3dPoint	ClosestPointTo (const ON_3dPoint &point) const
	returns point on circle that is closest to given point More...

bool	Create (const ON_Plane &plane, double radius)

bool	Create (const ON_3dPoint &center, double radius)

bool	Create (const ON_Plane &plane, const ON_3dPoint &center, double radius)

bool	Create (const ON_2dPoint &P, const ON_2dPoint &Q, const ON_2dPoint &R)

bool	Create (const ON_3dPoint &P, const ON_3dPoint &Q, const ON_3dPoint &R)

bool	Create (const ON_2dPoint &P, const ON_2dVector &tangent_at_P, const ON_2dPoint &Q)

bool	Create (const ON_3dPoint &P, const ON_3dVector &tangent_at_P, const ON_3dPoint &Q)

ON_3dVector	DerivativeAt (int, double) const

double	Diameter () const

double	EquationAt (const ON_2dPoint &plane_point) const
	evaluate circle's implicit equation in plane More...

int	GetNurbForm (ON_NurbsCurve &nurbs_curve) const
	Get a four span rational degree 2 NURBS circle representation of the circle. More...

bool	GetNurbFormParameterFromRadian (double circle_radians_parameter, double *nurbs_parameter) const
	Convert a circle radians parameter to a NURBS curve circle parameter. More...

bool	GetRadianFromNurbFormParameter (double nurbs_parameter, double *circle_radians_parameter) const
	Convert a NURBS curve circle parameter to a circle radians parameter. More...

bool	GetTightBoundingBox (ON_BoundingBox &tight_bbox, bool bGrowBox=false, const ON_Xform *xform=nullptr) const
	Get tight bounding box. More...

ON_2dVector	GradientAt (const ON_2dPoint &plane_point) const

bool	IsInPlane (const ON_Plane &, double=ON_ZERO_TOLERANCE) const
	bool UpdatePoints(); // sets m_point[] to have valid points More...

bool	IsValid () const
	A Valid circle has m_radius>0 and m_plane.IsValid(). More...

const ON_3dVector &	Normal () const

ON_Circle &	operator= (const ON_Circle &)=default

const ON_Plane &	Plane () const

ON_3dPoint	PointAt (double) const

double	Radius () const

bool	Reverse ()

bool	Rotate (double sin_angle, double cos_angle, const ON_3dVector &axis_of_rotation)
	rotate circle about its center More...

bool	Rotate (double angle_in_radians, const ON_3dVector &axis_of_rotation)

bool	Rotate (double sin_angle, double cos_angle, const ON_3dVector &axis_of_rotation, const ON_3dPoint &center_of_rotation)
	rotate circle about a point and axis More...

bool	Rotate (double angle_in_radians, const ON_3dVector &axis_of_rotation, const ON_3dPoint &center_of_rotation)

ON_3dVector	TangentAt (double) const

bool	Transform (const ON_Xform &)

bool	Translate (const ON_3dVector &delta)

Static Public Attributes
static const ON_Arc	UnitCircle

Static Public Attributes inherited from ON_Circle
static const ON_Circle	UnitCircle

Friends
bool	ON_BinaryArchive::ReadArc (ON_Arc &)

bool	ON_BinaryArchive::WriteArc (const ON_Arc &)

Additional Inherited Members
Public Attributes inherited from ON_Circle
ON_Plane	plane = ON_Plane::World_xy

double	radius = 1.0

Detailed Description

An ON_Arc is a subcurve of 3d circle.

The curve is parameterized by an angle expressed in radians. For an IsValid() arc the total subtended angle AngleRadians() = Domain()(1) - Domain()(0) must satisfy 0< AngleRadians() <2*Pi .

The parameterization of the ON_Arc is inherited from the ON_Circle it is derived from. In particular t -> center + cos(t)*radius*xaxis + sin(t)*radius*yaxis where xaxis and yaxis, (part of ON_Circle::m_plane) form an othonormal frame of the plane containing the circle.

Constructor & Destructor Documentation

◆ ON_Arc() [1/9]

ON_Arc::ON_Arc ( )

default

Create a radius one arc with angle = 2*pi.

◆ ~ON_Arc()

ON_Arc::~ON_Arc ( )

default

◆ ON_Arc() [2/9]

ON_Arc::ON_Arc ( const ON_Arc & )

default

◆ ON_Arc() [3/9]

ON_Arc::ON_Arc	(	const ON_Circle &	circle,
		double	angle_in_radians
	)

Construct an arc from a circle and an angle in radians

Parameters

circle	[in]
angle_in_radians	[in]

◆ ON_Arc() [4/9]

ON_Arc::ON_Arc	(	const ON_Circle &	circle,
		ON_Interval	angle_interval_in_radians
	)

Parameters

circle	[in]
angle_interval_in_radians	[in] increasing angle interval in radians with angle_interval_in_radians.Length() <= 2.0*ON_PI.

◆ ON_Arc() [5/9]

ON_Arc::ON_Arc	(	const ON_Plane &	plane,
		double	radius,
		double	angle_in_radians
	)

Construct an arc from a plane, radius and an angle in radians. The center of the arc is at the plane's origin.

Parameters

plane	[in] circle is in this plane with center at m_origin
center	[in] circle's center point
radius	[in]
angle_in_radians	[in]

◆ ON_Arc() [6/9]

ON_Arc::ON_Arc	(	const ON_3dPoint &	center,
		double	radius,
		double	angle_in_radians
	)

Construct an arc parallel to the world XY plane from a center point, radius, and angle in radians. The arc starts at center+(radius,0,0).

Parameters

center	[in]
radius	[in]
angle_in_radians	[in]

◆ ON_Arc() [7/9]

ON_Arc::ON_Arc	(	const ON_Plane &	plane,
		const ON_3dPoint &	center,
		double	radius,
		double	angle_in_radians
	)

Construct an arc parallel to plane from a center point, radius, and angle in radians. The arc starts at center+radius*plane.xaxis.

Parameters

plane	[in] The plane x, y and z axis are used to defines the circle plane's x, y and z axis. The plane origin is ignorned.
center	[in] circle's center point
radius	[in]
angle_in_radians	[in]

◆ ON_Arc() [8/9]

ON_Arc::ON_Arc	(	const ON_2dPoint &	start_point,
		const ON_2dPoint &	interior_point,
		const ON_2dPoint &	end_point
	)

Construct an arc that passes through three 2d points.

Parameters

start_point	[in]
interior_point	[in]
end_point	[in]

◆ ON_Arc() [9/9]

ON_Arc::ON_Arc	(	const ON_3dPoint &	start_point,
		const ON_3dPoint &	interior_point,
		const ON_3dPoint &	end_point
	)

Construct an arc that passes through three 3d points.

Parameters

start_point	[in]
interior_point	[in]
end_point	[in]

Member Function Documentation

◆ AngleDegrees()

double ON_Arc::AngleDegrees ( ) const

Returns: The arc's subtended angle in degrees.

◆ AngleRadians()

double ON_Arc::AngleRadians ( ) const

Returns: The arc's subtended angle in radians.

◆ BoundingBox()

ON_BoundingBox ON_Arc::BoundingBox ( ) const

Get arc's 3d axis aligned bounding box.

Returns: 3d bounding box.

◆ ClosestPointTo() [1/2]

bool ON_Arc::ClosestPointTo	(	const ON_3dPoint &	test_point,
		double *	t
	)		const

Get the point on the arc that is closest to test_point.

Parameters

test_point	[in]
t	[out] parameter (in radians) of the point on the arc that is closest to test_point. If test_point is the center of the arc, then the starting point of the arc is (arc.Domain()[0]) returned.

◆ ClosestPointTo() [2/2]

ON_3dPoint ON_Arc::ClosestPointTo ( const ON_3dPoint & test_point ) const

Get the point on the arc that is closest to test_point.

Parameters

test_point [in]

Returns: The point on the arc that is closest to test_point. If test_point is the center of the arc, then the starting point of the arc is returned.

◆ Create() [1/9]

bool ON_Arc::Create	(	const ON_Circle &	circle,
		double	angle_in_radians
	)

Create an arc from a circle and an angle in radians

Parameters

circle	[in]
angle_in_radians	[in]

Returns: true if input is valid and a valid arc is created.

◆ Create() [2/9]

bool ON_Arc::Create	(	const ON_Circle &	circle,
		ON_Interval	angle_interval_in_radians
	)

Create an arc from a circle and an increasing angle interval

Parameters

circle	[in]
angle_interval_in_radians	[in] increasing angle interval in radians with angle_interval_in_radians.Length() <= 2.0*ON_PI

Returns: true if input is valid and a valid arc is created.

◆ Create() [3/9]

bool ON_Arc::Create	(	const ON_Plane &	plane,
		double	radius,
		double	angle_in_radians
	)

Create an arc from a plane, radius and an angle in radians. The center of the arc is at the plane's origin.

Parameters

plane	[in] circle is in this plane with center at m_origin
center	[in] circle's center point
radius	[in]
angle_in_radians	[in]

◆ Create() [4/9]

bool ON_Arc::Create	(	const ON_3dPoint &	center,
		double	radius,
		double	angle_in_radians
	)

Create an arc parallel to the world XY plane from a center point, radius, and angle in radians. The arc starts at center+(radius,0,0).

Parameters

center	[in]
radius	[in]
angle_in_radians	[in]

◆ Create() [5/9]

bool ON_Arc::Create	(	const ON_Plane &	plane,
		const ON_3dPoint &	center,
		double	radius,
		double	angle_in_radians
	)

Create an arc parallel to plane from a center point, radius, and angle in radians. The arc starts at center+radius*plane.xaxis.

Parameters

plane	[in] The plane x, y and z axis are used to defines the circle plane's x, y and z axis. The plane origin is ignorned.
center	[in] circle's center point
radius	[in]
angle_in_radians	[in]

◆ Create() [6/9]

bool ON_Arc::Create	(	const ON_2dPoint &	start_point,
		const ON_2dPoint &	interior_point,
		const ON_2dPoint &	end_point
	)

Create an arc that passes through three 2d points.

Parameters

start_point	[in]
interior_point	[in]
end_point	[in]

◆ Create() [7/9]

bool ON_Arc::Create	(	const ON_3dPoint &	start_point,
		const ON_3dPoint &	interior_point,
		const ON_3dPoint &	end_point
	)

Create an arc that passes through three 3d points.

Parameters

start_point	[in]
interior_point	[in]
end_point	[in]

◆ Create() [8/9]

bool ON_Arc::Create	(	const ON_2dPoint &	start_point,
		const ON_2dVector &	dir_at_start,
		const ON_2dPoint &	end_point
	)

Create an arc from a 2d start point, 2d start direction and a 2d end point.

Parameters

start_point	[in]
dir_at_start	[in]
end_point	[in]

◆ Create() [9/9]

bool ON_Arc::Create	(	const ON_3dPoint &	start_point,
		const ON_3dVector &	dir_at_start,
		const ON_3dPoint &	end_point
	)

Create an arc from a 3d start point, 3d start direction and a 3d end point.

Parameters

start_point	[in]
dir_at_start	[in]
end_point	[in]

◆ Domain()

ON_Interval ON_Arc::Domain ( ) const

Get evaluation domain.

Returns: Evaluation domain (same as DomainRadians()).

◆ DomainDegrees()

ON_Interval ON_Arc::DomainDegrees ( ) const

Returns: The arc's domain in degrees.

◆ DomainRadians()

ON_Interval ON_Arc::DomainRadians ( ) const

Returns: The arc's domain in radians.

◆ Dump()

void ON_Arc::Dump ( ON_TextLog & dump ) const

Creates a text dump of the arc listing the normal, center radius, start point, end point, and angle.

Dump() is intended for debugging and is not suitable for creating high quality text descriptions of an arc.

◆ EndPoint()

ON_3dPoint ON_Arc::EndPoint ( ) const

Returns: Point at end of the arc.

◆ GetBoundingBox()

bool ON_Arc::GetBoundingBox	(	ON_BoundingBox &	bbox,
		int	bGrowBox = `false`
	)		const

Get arc's 3d axis aligned bounding box or the union of the input box with the arc's bounding box.

Parameters

bbox	[in/out] 3d axis aligned bounding box
bGrowBox	[in] (default=false) If true, then the union of the input bbox and the arc's bounding box is returned in bbox. If false, the arc's bounding box is returned in bbox.

Returns: true if arc has bounding box and calculation was successful.

◆ GetNurbForm()

int ON_Arc::GetNurbForm ( ON_NurbsCurve & nurbs_curve ) const

Get a rational degree 2 NURBS curve representation of the arc. Note that the parameterization of NURBS curve does not match arc's transcendental paramaterization. Use GetRadianFromNurbFormParameter() and GetParameterFromRadian() to convert between the NURBS curve parameter and the transcendental parameter

Parameters

nurbs_curve [out] nurbs_curve returned here.

Returns: 0 for failure and 2 for success.

◆ GetNurbFormParameterFromRadian()

bool ON_Arc::GetNurbFormParameterFromRadian	(	double	arc_radians_parameter,
		double *	nurbs_parameter
	)		const

Convert a arc radians parameter to a NURBS curve arc parameter.

Parameters

arc_radians_parameter	[in] 0.0 to 2.0*ON_PI
nurbs_parameter	[out]

The NURBS curve parameter is with respect to the NURBS curve created by ON_Arc::GetNurbForm. At radian values of 0.0, 0.5*ON_PI, ON_PI, 1.5*ON_PI, and 2.0*ON_PI, the nurbs parameter and radian parameter are the same. At all other values the nurbs and radian parameter values are different.

@verbatim
    ON_Arc arc = ...;
    double arc_t = 1.2345; // some number in interval (0,2.0*ON_PI).
    double nurbs_t;
    arc.GetNurbFormParameterFromRadian( arc_t, &nurbs_t );
    ON_NurbsCurve nurbs_curve;
    arc.GetNurbsForm( nurbs_curve );
    arc_pt = arc.PointAt(arc_t);
    nurbs_pt = nurbs_curve.PointAt(nurbs_t);
    // arc_pt and nurbs_pt will be the same
@endverbatim

See also: ON_Arc::GetNurbFormParameterFromRadian

◆ GetRadianFromNurbFormParameter()

bool ON_Arc::GetRadianFromNurbFormParameter	(	double	nurbs_parameter,
		double *	arc_radians_parameter
	)		const

Convert a NURBS curve arc parameter to a arc radians parameter.

Parameters

nurbs_parameter	[in]
arc_radians_parameter	[out]

The NURBS curve parameter is with respect to the NURBS curve created by ON_Arc::GetNurbForm. At nurbs parameter values of 0.0, 0.5*ON_PI, ON_PI, 1.5*ON_PI, and 2.0*ON_PI, the nurbs parameter and radian parameter are the same. At all other values the nurbs and radian parameter values are different.

@verbatim
    ON_Arc arc = ...;
    double nurbs_t = 1.2345; // some number in interval (0,2.0*ON_PI).
    double arc_t;
    arc.GetRadianFromNurbFormParameter( nurbs_t, &arc_t );
    ON_NurbsCurve nurbs_curve;
    arc.GetNurbsForm( nurbs_curve );
    arc_pt = arc.PointAt(arc_t);
    nurbs_pt = nurbs_curve.PointAt(nurbs_t);
    // arc_pt and nurbs_pt will be the same
@endverbatim

See also: ON_Arc::GetNurbFormParameterFromRadian

◆ GetTightBoundingBox()

bool ON_Arc::GetTightBoundingBox	(	ON_BoundingBox &	tight_bbox,
		bool	bGrowBox = `false`,
		const ON_Xform *	xform = `nullptr`
	)		const

Get tight bounding box.

Parameters

tight_bbox	[in/out] tight bounding box
bGrowBox	[in] (default=false) If true and the input tight_bbox is valid, then returned tight_bbox is the union of the input tight_bbox and the arc's tight bounding box.
xform	[in] (default=nullptr) If not nullptr, the tight bounding box of the transformed arc is calculated. The arc is not modified.

Returns: True if a valid tight_bbox is returned.

◆ IsCircle()

bool ON_Arc::IsCircle ( ) const

Returns: true if the arc is a complete circle; i.e., the arc's angle is 360 degrees.

◆ IsValid()

bool ON_Arc::IsValid ( ) const

Checks an arc to make sure it is valid. Detail: Radius>0 and 0<AngleRadians()<=2 ON_PI

Returns: true if the arc is valid.

◆ Length()

double ON_Arc::Length ( ) const

Returns: Length of the arc = radius*(subtended angle in radians).

◆ MidPoint()

ON_3dPoint ON_Arc::MidPoint ( ) const

Returns: Point at middle of the arc.

◆ operator=() [1/2]

ON_Arc& ON_Arc::operator= ( const ON_Arc & )

default

◆ operator=() [2/2]

ON_Arc& ON_Arc::operator= ( const ON_Circle & )

◆ Reverse()

bool ON_Arc::Reverse ( )

Reverse the orientation of the arc. Changes the domain from [a,b] to [-b.-a].

◆ SectorArea()

double ON_Arc::SectorArea ( ) const

Returns: Area of the arc's sector.

The arc's sector is the region bounded by the arc, the line segment from the arc's end to the center, and the line segment from the center to the arc's start.

◆ SectorAreaCentroid()

ON_3dPoint ON_Arc::SectorAreaCentroid ( ) const

Returns: Area centroid of the arc's sector.

The arc's sector is the region bounded by the arc, the line segment from the arc's end to the center, and the line segment from the center to the arc's start.

◆ SegmentArea()

double ON_Arc::SegmentArea ( ) const

Returns: Area of the arc's segment.

The arc's segment is the region bounded by the arc and the line segment from the arc's end to the arc's start.

◆ SegmentAreaCentroid()

ON_3dPoint ON_Arc::SegmentAreaCentroid ( ) const

Returns: Area centroid of the arc's segment.

The arc's segment is the region bounded by the arc and the line segment from the arc's end to the arc's start.

◆ SetAngleDegrees()

bool ON_Arc::SetAngleDegrees ( double angle_in_degrees )

Set arc's subtended angle in degrees.

Parameters

angle_in_degrees [in] 0 < angle_in_degrees <= 360

◆ SetAngleIntervalRadians()

bool ON_Arc::SetAngleIntervalRadians ( ON_Interval angle_in_radians )

Set arc's angle interval in radians.

Parameters

angle_in_radians [in] increasing interval with start and end angle in radians. Length of the interval <= 2.0*ON_PI.

Returns: true if successful.

◆ SetAngleRadians()

bool ON_Arc::SetAngleRadians ( double angle_in_radians )

Set arc's subtended angle in radians.

Parameters

angle_in_radians [in] 0 <= angle_in_radians <= 2.0*ON_PI

◆ StartPoint()

ON_3dPoint ON_Arc::StartPoint ( ) const

Returns: Point at start of the arc.

◆ Trim()

bool ON_Arc::Trim ( ON_Interval domain_radian )

Set arc's domain as a subdomain of the circle.

Parameters

domain_radian [in] 0 < domain_radian[1] - domain_radian[0] <= 2.0 * ON*PI

Friends And Related Function Documentation

◆ ON_BinaryArchive::ReadArc

bool ON_BinaryArchive::ReadArc ( ON_Arc & )

friend

◆ ON_BinaryArchive::WriteArc

bool ON_BinaryArchive::WriteArc ( const ON_Arc & )

friend

Member Data Documentation

◆ UnitCircle

const ON_Arc ON_Arc::UnitCircle

static

Public Member Functions

Static Public Attributes

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ON_Arc() [1/9]

◆ ~ON_Arc()

◆ ON_Arc() [2/9]

◆ ON_Arc() [3/9]

◆ ON_Arc() [4/9]

◆ ON_Arc() [5/9]

◆ ON_Arc() [6/9]

◆ ON_Arc() [7/9]

◆ ON_Arc() [8/9]

◆ ON_Arc() [9/9]

Member Function Documentation

◆ AngleDegrees()

◆ AngleRadians()

◆ BoundingBox()

◆ ClosestPointTo() [1/2]

◆ ClosestPointTo() [2/2]

◆ Create() [1/9]

◆ Create() [2/9]

◆ Create() [3/9]

◆ Create() [4/9]

◆ Create() [5/9]

◆ Create() [6/9]

◆ Create() [7/9]

◆ Create() [8/9]

◆ Create() [9/9]

◆ Domain()

◆ DomainDegrees()

◆ DomainRadians()

◆ Dump()

◆ EndPoint()

◆ GetBoundingBox()

◆ GetNurbForm()

◆ GetNurbFormParameterFromRadian()

◆ GetRadianFromNurbFormParameter()

◆ GetTightBoundingBox()

◆ IsCircle()

◆ IsValid()

◆ Length()

◆ MidPoint()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ Reverse()

◆ SectorArea()

◆ SectorAreaCentroid()

◆ SegmentArea()

◆ SegmentAreaCentroid()

◆ SetAngleDegrees()

◆ SetAngleIntervalRadians()

◆ SetAngleRadians()

◆ StartPoint()

◆ Trim()

Friends And Related Function Documentation

◆ ON_BinaryArchive::ReadArc

◆ ON_BinaryArchive::WriteArc

Member Data Documentation

◆ UnitCircle