Rhino C++ API  7.24
Public Member Functions | Public Attributes | List of all members
ON_ArcCurve Class Reference

#include <opennurbs_arccurve.h>

Inheritance diagram for ON_ArcCurve:
ON_Curve ON_Geometry ON_Object

Public Member Functions

 ON_ArcCurve () ON_NOEXCEPT
 
 ON_ArcCurve (const ON_Arc &arc)
 
 ON_ArcCurve (const ON_Arc &arc, double t0, double t1)
 
 ON_ArcCurve (const ON_ArcCurve &)
 
 ON_ArcCurve (const ON_Circle &circle)
 
 ON_ArcCurve (const ON_Circle &circle, double t0, double t1)
 
virtual ~ON_ArcCurve ()
 
double AngleDegrees () const
 
double AngleRadians () const
 
bool ChangeClosedCurveSeam (double t) override
 
bool ChangeDimension (int desired_dimension) override
 
ON__UINT32 DataCRC (ON__UINT32 current_remainder) const override
 virtual ON_Object::DataCRC override More...
 
int Degree () const override
 
int Dimension () const override
 ON_Geometry overrides. More...
 
ON_Interval Domain () const override
 
void Dump (ON_TextLog &) const override
 
bool Evaluate (double, int, int, double *, int=0, int *=0) const override
 
bool Extend (const ON_Interval &domain) override
 
bool GetBBox (double *boxmin, double *boxmax, bool bGrowBox=false) const override
 virtual ON_Geometry GetBBox override
More...
 
bool GetClosestPoint (const ON_3dPoint &, double *, double=0.0, const ON_Interval *=nullptr) const override
 
bool GetCurveParameterFromNurbFormParameter (double, double *) const override
 virtual ON_Curve::GetCurveParameterFromNurbFormParameter override More...
 
bool GetLength (double *, double=1.0e-8, const ON_Interval *=nullptr) const override
 
bool GetLocalClosestPoint (const ON_3dPoint &, double, double *, const ON_Interval *=nullptr) const override
 
bool GetNormalizedArcLengthPoint (double s, double *t, double fractional_tolerance=1.0e-8, const ON_Interval *sub_domain=nullptr) const override
 
bool GetNormalizedArcLengthPoints (int count, const double *s, double *t, double absolute_tolerance=0.0, double fractional_tolerance=1.0e-8, const ON_Interval *sub_domain=nullptr) const override
 
int GetNurbForm (ON_NurbsCurve &, double=0.0, const ON_Interval *=nullptr) const override
 virtual ON_Curve::GetNurbForm override More...
 
bool GetNurbFormParameterFromCurveParameter (double, double *) const override
 virtual ON_Curve::GetNurbFormParameterFromCurveParameter override More...
 
bool GetSpanVector (double *) const override
 
bool GetTightBoundingBox (class ON_BoundingBox &tight_bbox, bool bGrowBox=false, const class ON_Xform *xform=nullptr) const override
 virtual ON_Geometry GetTightBoundingBox override
More...
 
int HasNurbForm () const override
 virtual ON_Curve::HasNurbForm override More...
 
int IntersectSelf (ON_SimpleArray< ON_X_EVENT > &x, double intersection_tolerance=0.0, const ON_Interval *curve_domain=0) const override
 virtual ON_Curve override More...
 
bool IsArc (const ON_Plane *=nullptr, ON_Arc *=nullptr, double=0.0) const override
 
bool IsCircle () const
 
bool IsClosed (void) const override
 
bool IsContinuous (ON::continuity c, double t, int *hint=nullptr, double point_tolerance=ON_ZERO_TOLERANCE, double d1_tolerance=ON_ZERO_TOLERANCE, double d2_tolerance=ON_ZERO_TOLERANCE, double cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE, double curvature_tolerance=ON_SQRT_EPSILON) const override
 
bool IsInPlane (const ON_Plane &, double=0.0) const override
 
bool IsLinear (double=ON_ZERO_TOLERANCE) const override
 
bool IsPeriodic (void) const override
 periodic.) More...
 
bool IsPlanar (ON_Plane *=nullptr, double=0.0) const override
 
bool IsShort (double tolerance, const ON_Interval *sub_domain=0, double *length_estimate=0) const override
 
bool IsValid (class ON_TextLog *text_log=nullptr) const override
 ON_Object overrides. More...
 
ON_ArcCurveoperator= (const ON_Arc &arc)
 
ON_ArcCurveoperator= (const ON_ArcCurve &)
 
ON_ArcCurveoperator= (const ON_Circle &circle)
 
double Radius () const
 
bool Read (ON_BinaryArchive &) override
 
bool Reverse () override
 
bool SetDomain (double t0, double t1) override
 ON_Curve overrides. More...
 
bool SetEndPoint (ON_3dPoint end_point) override
 
bool SetStartPoint (ON_3dPoint start_point) override
 Domain changes from [a,b] to [-b,-a]. More...
 
unsigned int SizeOf () const override
 virtual ON_Object::SizeOf override More...
 
int SpanCount () const override
 number of smooth spans in curve More...
 
bool Split (double t, ON_Curve *&left_side, ON_Curve *&right_side) const override
 
bool Transform (const ON_Xform &) override
 
bool Trim (const ON_Interval &) override
 
bool Write (ON_BinaryArchive &) const override
 
- Public Member Functions inherited from ON_Curve
 ON_Curve () ON_NOEXCEPT
 
 ON_Curve (const ON_Curve &)
 
virtual ~ON_Curve ()
 
bool AreaMassProperties (ON_3dPoint base_point, ON_3dVector plane_normal, ON_MassProperties &mp, bool bArea=true, bool bFirstMoments=true, bool bSecondMoments=true, bool bProductMoments=true, double rel_tol=1.0e-6, double abs_tol=1.0e-6) const
 
bool ChangeClosedCurveSeam (double t, double min_dist)
 
virtual class ON_CurveTreeCreateCurveTree () const
 
ON_3dVector CurvatureAt (double t) const
 
const class ON_CurveTreeCurveTree () const
 
ON_3dVector DerivativeAt (double t) const
 
void DestroyCurveTree ()
 
void DestroyRuntimeCache (bool bDelete=true) override
 virtual ON_Object::DestroyRuntimeCache override More...
 
virtual ON_CurveDuplicateCurve () const
 
bool Ev1Der (double t, ON_3dPoint &point, ON_3dVector &first_derivative, int side=0, int *hint=0) const
 
bool Ev2Der (double t, ON_3dPoint &point, ON_3dVector &first_derivative, ON_3dVector &second_derivative, int side=0, int *hint=0) const
 
bool EvaluatePoint (const class ON_ObjRef &objref, ON_3dPoint &P) const override
 virtual ON_Geometry override More...
 
bool EvCurvature (double t, ON_3dPoint &point, ON_3dVector &tangent, ON_3dVector &kappa, int side=0, int *hint=0) const
 
bool EvPoint (double t, ON_3dPoint &point, int side=0, int *hint=0) const
 
bool EvTangent (double t, ON_3dPoint &point, ON_3dVector &tangent, int side=0, int *hint=0) const
 
bool FirstSpanIsLinear (double min_length, double tolerance) const
 
bool FirstSpanIsLinear (double min_length, double tolerance, ON_Line *span_line) const
 
bool FrameAt (double t, ON_Plane &plane) const
 
bool GetDomain (double *t0, double *t1) const
 curve interface More...
 
virtual bool GetNextDiscontinuity (ON::continuity c, double t0, double t1, double *t, int *hint=nullptr, int *dtype=nullptr, double cos_angle_tolerance=ON_DEFAULT_ANGLE_TOLERANCE_COSINE, double curvature_tolerance=ON_SQRT_EPSILON) const
 
virtual bool GetParameterTolerance (double t, double *tminus, double *tplus) const
 
virtual bool GetSpanVectorIndex (double t, int side, int *span_vector_index, ON_Interval *span_domain) const
 
bool GetTightBoundingBox (class ON_BoundingBox &tight_bbox, bool bGrowBox=false, const class ON_Xform *xform=nullptr) const override
 virtual ON_Geometry GetTightBoundingBox override
More...
 
int IntersectCurve (const ON_Curve *curveB, ON_SimpleArray< ON_X_EVENT > &x, double intersection_tolerance=0.0, double overlap_tolerance=0.0, const ON_Interval *curveA_domain=0, const ON_Interval *curveB_domain=0) const
 
int IntersectPlane (ON_PlaneEquation plane_equation, ON_SimpleArray< ON_X_EVENT > &x, double intersection_tolerance=0.0, double overlap_tolerance=0.0, const ON_Interval *curve_domain=0) const
 
int IntersectSurface (const ON_Surface *surfaceB, ON_SimpleArray< ON_X_EVENT > &x, double intersection_tolerance=0.0, double overlap_tolerance=0.0, const ON_Interval *curveA_domain=0, const ON_Interval *surfaceB_udomain=0, const ON_Interval *surfaceB_vdomain=0) const
 
bool IsArcAt (double t, const ON_Plane *plane=0, ON_Arc *arc=0, double tolerance=ON_ZERO_TOLERANCE, double *t0=0, double *t1=0) const
 
bool IsClosable (double tolerance, double min_abs_size=0.0, double min_rel_size=10.0) const
 
virtual bool IsEllipse (const ON_Plane *plane=nullptr, ON_Ellipse *ellipse=nullptr, double tolerance=ON_ZERO_TOLERANCE) const
 
virtual int IsPolyline (ON_SimpleArray< ON_3dPoint > *pline_points=nullptr, ON_SimpleArray< double > *pline_t=nullptr) const
 
bool LastSpanIsLinear (double min_length, double tolerance) const
 
bool LastSpanIsLinear (double min_length, double tolerance, ON_Line *span_line) const
 
bool LengthMassProperties (class ON_MassProperties &mp, bool bLength=true, bool bFirstMoments=true, bool bSecondMoments=true, bool bProductMoments=true, double rel_tol=1.0e-6, double abs_tol=1.0e-6) const
 
class ON_PolylineCurveMeshCurve (ON_MeshCurveParameters &mp, ON_PolylineCurve *polyline, bool bSkipFirstPoint, const ON_Interval *domain) const
 
ON_NurbsCurveNurbsCurve (ON_NurbsCurve *pNurbsCurve=nullptr, double tolerance=0.0, const ON_Interval *subdomain=nullptr) const
 
ON::object_type ObjectType () const override
 
ON_Curveoperator= (const ON_Curve &)
 
ON_3dPoint PointAt (double t) const
 
ON_3dPoint PointAtEnd () const
 
ON_3dPoint PointAtStart () const
 
virtual bool RemoveShortSegments (double tolerance, bool bRemoveShortSegments=true)
 
bool SetDomain (ON_Interval domain)
 
unsigned int SizeOf () const override
 virtual ON_Object::SizeOf override More...
 
ON_3dVector TangentAt (double t) const
 
bool Transform (const ON_Xform &xform) override
 
- Public Member Functions inherited from ON_Geometry
 ON_Geometry ()=default
 
 ON_Geometry (const ON_Geometry &)=default
 
 ~ON_Geometry ()=default
 
ON_BoundingBox BoundingBox () const
 
virtual class ON_BrepBrepForm (class ON_Brep *brep=nullptr) const
 
virtual void ClearBoundingBox ()
 
virtual ON_COMPONENT_INDEX ComponentIndex () const
 
bool GetBoundingBox (ON_3dPoint &bbox_min, ON_3dPoint &bbox_max, bool bGrowBox=false) const
 
bool GetBoundingBox (ON_BoundingBox &bbox, bool bGrowBox=false) const
 
virtual bool HasBrepForm () const
 
virtual bool IsDeformable () const
 
virtual bool IsMorphable () const
 
bool IsValid (class ON_TextLog *text_log=nullptr) const override
 
virtual bool MakeDeformable ()
 
virtual bool Morph (const class ON_SpaceMorph &morph)
 
ON_Geometryoperator= (const ON_Geometry &)=default
 
bool Rotate (double rotation_angle, const ON_3dVector &rotation_axis, const ON_3dPoint &rotation_center)
 
bool Rotate (double sin_angle, double cos_angle, const ON_3dVector &rotation_axis, const ON_3dPoint &rotation_center)
 
bool Scale (double scale_factor)
 
virtual bool SwapCoordinates (int i, int j)
 
bool Translate (const ON_3dVector &translation_vector)
 
- Public Member Functions inherited from ON_Object
 ON_Object () ON_NOEXCEPT
 
 ON_Object (const ON_Object &)
 
virtual ~ON_Object ()
 
virtual ON_AggregateComponentStatus AggregateComponentStatus () const
 
bool AttachUserData (class ON_UserData *pUserData)
 
unsigned int ClearAllComponentStates () const
 
virtual unsigned int ClearComponentStates (ON_COMPONENT_INDEX component_index, ON_ComponentStatus states_to_clear) const
 
virtual unsigned int ClearComponentStates (ON_ComponentStatus states_to_clear) const
 
void CopyUserData (const ON_Object &source_object)
 
unsigned int CopyUserData (const ON_Object &source_object, ON_UUID source_userdata_item_id, ON_Object::UserDataConflictResolution userdata_conflict_resolution)
 
virtual bool DeleteComponents (const ON_COMPONENT_INDEX *ci_list, size_t ci_count)
 
bool DetachUserData (class ON_UserData *pUserData)
 
void EmergencyDestroy ()
 
class ON_UserDataFirstUserData () const
 
virtual unsigned int GetComponentsWithSetStates (ON_ComponentStatus states_filter, bool bAllEqualStates, ON_SimpleArray< ON_COMPONENT_INDEX > &components) const
 
class ON_UserDataGetUserData (const ON_UUID &userdata_uuid) const
 
bool GetUserString (const wchar_t *key, ON_wString &string_value) const
 
int GetUserStringKeys (ON_ClassArray< ON_wString > &user_string_keys) const
 
int GetUserStrings (ON_ClassArray< ON_UserString > &user_strings) const
 
bool IsCorrupt (bool bRepair, bool bSilentError, class ON_TextLog *text_log) const
 
bool IsKindOf (const ON_ClassId *pClassId) const
 
virtual void MarkAggregateComponentStatusAsNotCurrent () const
 
virtual void MemoryRelocate ()
 
virtual ON_UUID ModelObjectId () const
 
void MoveUserData (ON_Object &source_object)
 
unsigned int MoveUserData (ON_Object &source_object, ON_UUID source_userdata_item_id, ON_Object::UserDataConflictResolution userdata_conflict_resolution, bool bDeleteAllSourceItems)
 
ON_Objectoperator= (const ON_Object &)
 
void PurgeUserData ()
 
virtual unsigned int SetComponentStates (ON_COMPONENT_INDEX component_index, ON_ComponentStatus states_to_set) const
 
virtual unsigned int SetComponentStatus (ON_COMPONENT_INDEX component_index, ON_ComponentStatus status_to_copy) const
 
bool SetUserString (const wchar_t *key, const wchar_t *string_value)
 
int SetUserStrings (int count, const ON_UserString *user_strings, bool bReplace)
 
bool ThisIsNullptr (bool bSilentError) const
 
void TransformUserData (const class ON_Xform &xform)
 
virtual bool UpdateReferencedComponents (const class ON_ComponentManifest &source_manifest, const class ON_ComponentManifest &destination_manifest, const class ON_ManifestMap &manifest_map)
 
int UserStringCount () const
 

Public Attributes

ON_Arc m_arc = ON_Arc::UnitCircle
 defualt = radius 1 circle in x-y plane More...
 
int m_dim = 3
 
ON_Interval m_t = ON_Interval::ZeroToTwoPi
 

Additional Inherited Members

- Public Types inherited from ON_Object
enum  UserDataConflictResolution : unsigned char {
  UserDataConflictResolution::destination_object = 0, UserDataConflictResolution::source_object = 1, UserDataConflictResolution::source_copycount_gt = 2, UserDataConflictResolution::source_copycount_ge = 3,
  UserDataConflictResolution::destination_copycount_gt = 4, UserDataConflictResolution::destination_copycount_ge = 5, UserDataConflictResolution::delete_item = 6
}
 
- Static Public Member Functions inherited from ON_Curve
static class ON_NurbsCurveCreateCubicLoft (int point_count, int point_dim, int point_stride, const double *point_list, double k, int is_closed=0, ON::cubic_loft_end_condition start_shape=ON::cubic_loft_ec_quadratic, ON::cubic_loft_end_condition end_shape=ON::cubic_loft_ec_quadratic, class ON_NurbsCurve *nurbs_curve=0)
 
- Static Public Attributes inherited from ON_Geometry
const static ON_Geometry Unset
 
- Protected Member Functions inherited from ON_Curve
bool ParameterSearch (double t, int &index, bool bEnableSnap, const ON_SimpleArray< double > &m_t, double RelTol=ON_SQRT_EPSILON) const
 

Detailed Description

NoKeywords

/ / Copyright (c) 1993-2012 Robert McNeel & Associates. All rights reserved. / OpenNURBS, Rhinoceros, and Rhino3D are registered trademarks of Robert / McNeel & Associates. / / THIS SOFTWARE IS PROVIDED "AS IS" WITHOUT EXPRESS OR IMPLIED WARRANTY. / ALL IMPLIED WARRANTIES OF FITNESS FOR ANY PARTICULAR PURPOSE AND OF / MERCHANTABILITY ARE HEREBY DISCLAIMED. /
/ For complete openNURBS copyright information see http://www.opennurbs.org. / ////////////////////////////////////////////////////////////// Description: ON_ArcCurve is used to represent arcs and circles. ON_ArcCurve.IsCircle() returns true if the curve is a complete circle. Remarks:

Constructor & Destructor Documentation

◆ ON_ArcCurve() [1/6]

ON_ArcCurve::ON_ArcCurve ( )

◆ ~ON_ArcCurve()

virtual ON_ArcCurve::~ON_ArcCurve ( )
virtual

◆ ON_ArcCurve() [2/6]

ON_ArcCurve::ON_ArcCurve ( const ON_ArcCurve )

◆ ON_ArcCurve() [3/6]

ON_ArcCurve::ON_ArcCurve ( const ON_Arc arc)

Description: Create an arc curve with domain (0,arc.Length()).

◆ ON_ArcCurve() [4/6]

ON_ArcCurve::ON_ArcCurve ( const ON_Arc arc,
double  t0,
double  t1 
)

Description: Create an arc curve with domain (t0,t1)

◆ ON_ArcCurve() [5/6]

ON_ArcCurve::ON_ArcCurve ( const ON_Circle circle)

Description: Creates a curve that is a complete circle with domain (0,circle.Length()).

◆ ON_ArcCurve() [6/6]

ON_ArcCurve::ON_ArcCurve ( const ON_Circle circle,
double  t0,
double  t1 
)

Description: Creates a curve that is a complete circle with domain (t0,t1).

Member Function Documentation

◆ AngleDegrees()

double ON_ArcCurve::AngleDegrees ( ) const

Returns: The arc's subtended angle in degrees.

◆ AngleRadians()

double ON_ArcCurve::AngleRadians ( ) const

Returns: The arc's subtended angle in radians.

◆ ChangeClosedCurveSeam()

bool ON_ArcCurve::ChangeClosedCurveSeam ( double  t)
overridevirtual

Description: If this curve is closed, then modify it so that the start/end point is at curve parameter t. Parameters: t - [in] curve parameter of new start/end point. The returned curves domain will start at t. Returns: true if successful.

Reimplemented from ON_Curve.

◆ ChangeDimension()

bool ON_ArcCurve::ChangeDimension ( int  desired_dimension)
overridevirtual

Description: Change the dimension of a curve. Parameters: desired_dimension - [in] Returns: true if the curve's dimension was already desired_dimension or if the curve's dimension was successfully changed to desired_dimension.

Reimplemented from ON_Curve.

◆ DataCRC()

ON__UINT32 ON_ArcCurve::DataCRC ( ON__UINT32  current_remainder) const
overridevirtual

virtual ON_Object::DataCRC override

Reimplemented from ON_Object.

◆ Degree()

int ON_ArcCurve::Degree ( ) const
overridevirtual

Description: Returns maximum algebraic degree of any span or a good estimate if curve spans are not algebraic. Returns: degree

Implements ON_Curve.

◆ Dimension()

int ON_ArcCurve::Dimension ( ) const
overridevirtual

ON_Geometry overrides.

Reimplemented from ON_Geometry.

◆ Domain()

ON_Interval ON_ArcCurve::Domain ( ) const
overridevirtual

Returns: domain of the curve.

Implements ON_Curve.

◆ Dump()

void ON_ArcCurve::Dump ( ON_TextLog ) const
overridevirtual

Description: Creates a text dump of the object. Remarks: Dump() is intended for debugging and is not suitable for creating high quality text descriptions of an object.

The default implementations of this virtual function prints the class's name.

Reimplemented from ON_Object.

◆ Evaluate()

bool ON_ArcCurve::Evaluate ( double  t,
int  der_count,
int  v_stride,
double *  v,
int  side = 0,
int *  hint = 0 
) const
overridevirtual

Description: This evaluator actually does all the work. The other ON_Curve evaluation tools call this virtual function. Parameters: t - [in] evaluation parameter ( usually in Domain() ). der_count - [in] (>=0) number of derivatives to evaluate v_stride - [in] (>=Dimension()) stride to use for the v[] array v - [out] array of length (der_count+1)*v_stride curve(t) is returned in (v[0],...,v[m_dim-1]), curve'(t) is retuned in (v[v_stride],...,v[v_stride+m_dim-1]), curve"(t) is retuned in (v[2*v_stride],...,v[2*v_stride+m_dim-1]), etc. side - [in] optional - determines which side to evaluate from =0 default <0 to evaluate from below, >0 to evaluate from above hint - [in/out] optional evaluation hint used to speed repeated evaluations Returns: false if unable to evaluate. See Also: ON_Curve::EvPoint ON_Curve::Ev1Der ON_Curve::Ev2Der

Implements ON_Curve.

◆ Extend()

bool ON_ArcCurve::Extend ( const ON_Interval domain)
overridevirtual

Description: Where possible, analytically extends curve to include domain. Parameters: domain - [in] if domain is not included in curve domain, curve will be extended so that its domain includes domain.
Will not work if curve is closed. Original curve is identical to the restriction of the resulting curve to the original curve domain, Returns: true if successful.

Reimplemented from ON_Curve.

◆ GetBBox()

bool ON_ArcCurve::GetBBox ( double *  boxmin,
double *  boxmax,
bool  bGrowBox = false 
) const
overridevirtual

virtual ON_Geometry GetBBox override

Reimplemented from ON_Geometry.

◆ GetClosestPoint()

bool ON_ArcCurve::GetClosestPoint ( const ON_3dPoint ,
double *  ,
double  = 0.0,
const ON_Interval = nullptr 
) const
overridevirtual

Find parameter of the point on a curve that is closest to test_point. If the maximum_distance parameter is > 0, then only points whose distance to the given point is <= maximum_distance will be returned. Using a positive value of maximum_distance can substantially speed up the search. If the sub_domain parameter is not nullptr, then the search is restricted to the specified portion of the curve.

true if returned if the search is successful. false is returned if the search fails.

Reimplemented from ON_Curve.

◆ GetCurveParameterFromNurbFormParameter()

bool ON_ArcCurve::GetCurveParameterFromNurbFormParameter ( double  ,
double *   
) const
overridevirtual

virtual ON_Curve::GetCurveParameterFromNurbFormParameter override

Reimplemented from ON_Curve.

◆ GetLength()

bool ON_ArcCurve::GetLength ( double *  ,
double  = 1.0e-8,
const ON_Interval = nullptr 
) const
overridevirtual

Length of curve. true if returned if the length calculation is successful. false is returned if the length is not calculated.

The arc length will be computed so that (returned length - real length)/(real length) <= fractional_tolerance More simply, if you want N significant figures in the answer, set the fractional_tolerance to 1.0e-N. For "nice" curves, 1.0e-8 works fine. For very high degree nurbs and nurbs with bad parameterizations, use larger values of fractional_tolerance.

Reimplemented from ON_Curve.

◆ GetLocalClosestPoint()

bool ON_ArcCurve::GetLocalClosestPoint ( const ON_3dPoint ,
double  ,
double *  ,
const ON_Interval = nullptr 
) const
overridevirtual

Find parameter of the point on a curve that is locally closest to the test_point. The search for a local close point starts at seed_parameter. If the sub_domain parameter is not nullptr, then the search is restricted to the specified portion of the curve.

true if returned if the search is successful. false is returned if the search fails.

Reimplemented from ON_Curve.

◆ GetNormalizedArcLengthPoint()

bool ON_ArcCurve::GetNormalizedArcLengthPoint ( double  s,
double *  t,
double  fractional_tolerance = 1.0e-8,
const ON_Interval sub_domain = nullptr 
) const
overridevirtual

Description: virtual ON_Curve::GetNormalizedArcLengthPoint override. Get the parameter of the point on the curve that is a prescribed arc length from the start of the curve. Parameters: s - [in] normalized arc length parameter. E.g., 0 = start of curve, 1/2 = midpoint of curve, 1 = end of curve. t - [out] parameter such that the length of the curve from its start to t is arc_length. fractional_tolerance - [in] desired fractional precision. fabs(("exact" length from start to t) - arc_length)/arc_length <= fractional_tolerance sub_domain - [in] If not nullptr, the calculation is performed on the specified sub-domain of the curve. Returns: true if successful

Reimplemented from ON_Curve.

◆ GetNormalizedArcLengthPoints()

bool ON_ArcCurve::GetNormalizedArcLengthPoints ( int  count,
const double *  s,
double *  t,
double  absolute_tolerance = 0.0,
double  fractional_tolerance = 1.0e-8,
const ON_Interval sub_domain = nullptr 
) const
overridevirtual

Description: virtual ON_Curve::GetNormalizedArcLengthPoints override. Get the parameter of the point on the curve that is a prescribed arc length from the start of the curve. Parameters: count - [in] number of parameters in s. s - [in] array of normalized arc length parameters. E.g., 0 = start of curve, 1/2 = midpoint of curve, 1 = end of curve. t - [out] array of curve parameters such that the length of the curve from its start to t[i] is s[i]*curve_length. absolute_tolerance - [in] if absolute_tolerance > 0, then the difference between (s[i+1]-s[i])*curve_length and the length of the curve segment from t[i] to t[i+1] will be <= absolute_tolerance. fractional_tolerance - [in] desired fractional precision for each segment. fabs("true" length - actual length)/(actual length) <= fractional_tolerance sub_domain - [in] If not nullptr, the calculation is performed on the specified sub-domain of the curve. A 0.0 s value corresponds to sub_domain->Min() and a 1.0 s value corresponds to sub_domain->Max(). Returns: true if successful

Reimplemented from ON_Curve.

◆ GetNurbForm()

int ON_ArcCurve::GetNurbForm ( ON_NurbsCurve ,
double  = 0.0,
const ON_Interval = nullptr 
) const
overridevirtual

virtual ON_Curve::GetNurbForm override

Reimplemented from ON_Curve.

◆ GetNurbFormParameterFromCurveParameter()

bool ON_ArcCurve::GetNurbFormParameterFromCurveParameter ( double  ,
double *   
) const
overridevirtual

virtual ON_Curve::GetNurbFormParameterFromCurveParameter override

Reimplemented from ON_Curve.

◆ GetSpanVector()

bool ON_ArcCurve::GetSpanVector ( double *  span_parameters) const
overridevirtual

Description: Get number of parameters of "knots". Parameters: span_parameters - [out] an array of length SpanCount()+1 is filled in with the parameters where the curve is not smooth (C-infinity). Returns: true if successful

Implements ON_Curve.

◆ GetTightBoundingBox()

bool ON_ArcCurve::GetTightBoundingBox ( class ON_BoundingBox tight_bbox,
bool  bGrowBox = false,
const class ON_Xform xform = nullptr 
) const
overridevirtual

virtual ON_Geometry GetTightBoundingBox override

Reimplemented from ON_Geometry.

◆ HasNurbForm()

int ON_ArcCurve::HasNurbForm ( ) const
overridevirtual

virtual ON_Curve::HasNurbForm override

Reimplemented from ON_Curve.

◆ IntersectSelf()

int ON_ArcCurve::IntersectSelf ( ON_SimpleArray< ON_X_EVENT > &  x,
double  intersection_tolerance = 0.0,
const ON_Interval curve_domain = 0 
) const
overridevirtual

virtual ON_Curve override

Reimplemented from ON_Curve.

◆ IsArc()

bool ON_ArcCurve::IsArc ( const ON_Plane plane = nullptr,
ON_Arc arc = nullptr,
double  tolerance = 0.0 
) const
overridevirtual

Description: Test a curve to see if the locus if its points is an arc or circle. Parameters: plane - [in] if not nullptr, test is performed in this plane arc - [out] if not nullptr and true is returned, then arc parameters are filled in tolerance - [in] tolerance to use when checking Returns: ON_Arc.m_angle > 0 if curve locus is an arc between specified points. If ON_Arc.m_angle is 2.0*ON_PI, then the curve is a circle.

Reimplemented from ON_Curve.

◆ IsCircle()

bool ON_ArcCurve::IsCircle ( ) const

Description: Returns true if this arc curve is a complete circle.

◆ IsClosed()

bool ON_ArcCurve::IsClosed ( void  ) const
overridevirtual

CV = euclidean location of end CV, or curve is

Reimplemented from ON_Curve.

◆ IsContinuous()

bool ON_ArcCurve::IsContinuous ( ON::continuity  c,
double  t,
int *  hint = nullptr,
double  point_tolerance = ON_ZERO_TOLERANCE,
double  d1_tolerance = ON_ZERO_TOLERANCE,
double  d2_tolerance = ON_ZERO_TOLERANCE,
double  cos_angle_tolerance = ON_DEFAULT_ANGLE_TOLERANCE_COSINE,
double  curvature_tolerance = ON_SQRT_EPSILON 
) const
overridevirtual

Description: Test continuity at a curve parameter value. Parameters: c - [in] type of continuity to test for. Read ON::continuity comments for details. t - [in] parameter to test hint - [in] evaluation hint point_tolerance - [in] if the distance between two points is greater than point_tolerance, then the curve is not C0. d1_tolerance - [in] if the difference between two first derivatives is greater than d1_tolerance, then the curve is not C1. d2_tolerance - [in] if the difference between two second derivatives is greater than d2_tolerance, then the curve is not C2. cos_angle_tolerance - [in] default = cos(1 degree) Used only when c is ON::continuity::G1_continuous or ON::continuity::G2_continuous. If the cosine of the angle between two tangent vectors is <= cos_angle_tolerance, then a G1 discontinuity is reported. curvature_tolerance - [in] (default = ON_SQRT_EPSILON) Used only when c is ON::continuity::G2_continuous or ON::continuity::Gsmooth_continuous.
ON::continuity::G2_continuous: If K0 and K1 are curvatures evaluated from above and below and |K0 - K1| > curvature_tolerance, then a curvature discontinuity is reported. ON::continuity::Gsmooth_continuous: If K0 and K1 are curvatures evaluated from above and below and the angle between K0 and K1 is at least twice angle tolerance or ||K0| - |K1|| > (max(|K0|,|K1|) > curvature_tolerance, then a curvature discontinuity is reported. Returns: true if the curve has at least the c type continuity at the parameter t.

Reimplemented from ON_Curve.

◆ IsInPlane()

bool ON_ArcCurve::IsInPlane ( const ON_Plane test_plane,
double  tolerance = 0.0 
) const
overridevirtual

Description: Test a curve to see if it lies in a specific plane. Parameters: test_plane - [in] tolerance - [in] tolerance to use when checking Returns: true if the maximum distance from the curve to the test_plane is <= tolerance.

Implements ON_Curve.

◆ IsLinear()

bool ON_ArcCurve::IsLinear ( double  tolerance = ON_ZERO_TOLERANCE) const
overridevirtual

Description: Test a curve to see if the locus if its points is a line segment. Parameters: tolerance - [in] ///< tolerance to use when checking linearity Returns: true if the ends of the curve are farther than tolerance apart and the maximum distance from any point on the curve to the line segment connecting the curve's ends is <= tolerance.

Reimplemented from ON_Curve.

◆ IsPeriodic()

bool ON_ArcCurve::IsPeriodic ( void  ) const
overridevirtual

periodic.)

Reimplemented from ON_Curve.

◆ IsPlanar()

bool ON_ArcCurve::IsPlanar ( ON_Plane plane = nullptr,
double  tolerance = 0.0 
) const
overridevirtual

Description: Test a curve to see if it is planar. Parameters: plane - [out] if not nullptr and true is returned, the plane parameters are filled in. tolerance - [in] tolerance to use when checking Returns: true if there is a plane such that the maximum distance from the curve to the plane is <= tolerance.

Reimplemented from ON_Curve.

◆ IsShort()

bool ON_ArcCurve::IsShort ( double  tolerance,
const ON_Interval sub_domain = 0,
double *  length_estimate = 0 
) const
overridevirtual

Description: Used to quickly find short curves. Parameters: tolerance - [in] (>=0) sub_domain - [in] If not nullptr, the test is performed on the interval that is the intersection of sub_domain with Domain(). Returns: True if the length of the curve is <= tolerance. Remarks: Faster than calling Length() and testing the result.

Reimplemented from ON_Curve.

◆ IsValid()

bool ON_ArcCurve::IsValid ( class ON_TextLog text_log = nullptr) const
overridevirtual

ON_Object overrides.

Reimplemented from ON_Object.

◆ operator=() [1/3]

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

Description: Create an arc curve with domain (0,arc.Length()).

◆ operator=() [2/3]

ON_ArcCurve& ON_ArcCurve::operator= ( const ON_ArcCurve )

◆ operator=() [3/3]

ON_ArcCurve& ON_ArcCurve::operator= ( const ON_Circle circle)

Description: Creates a curve that is a complete circle with domain (0,circle.Length()).

◆ Radius()

double ON_ArcCurve::Radius ( ) const

Returns: The arc's radius.

◆ Read()

bool ON_ArcCurve::Read ( ON_BinaryArchive binary_archive)
overridevirtual

Description: Low level archive writing tool used by ON_BinaryArchive::ReadObject(). Parameters: binary_archive - archive to read from Returns: Returns true if the read is successful. Remarks: Use ON_BinaryArchive::ReadObject() to read objects. This Read() function should read the objects definition back into its data members.

The default implementation of this virtual function returns false and does nothing.

Reimplemented from ON_Object.

◆ Reverse()

bool ON_ArcCurve::Reverse ( )
overridevirtual

reverse parameterizatrion

Implements ON_Curve.

◆ SetDomain()

bool ON_ArcCurve::SetDomain ( double  t0,
double  t1 
)
overridevirtual

ON_Curve overrides.

Description: virtual ON_Curve::SetDomain override. Set the domain of the curve Parameters: t0 - [in] t1 - [in] new domain will be [t0,t1] Returns: true if successful.

Reimplemented from ON_Curve.

◆ SetEndPoint()

bool ON_ArcCurve::SetEndPoint ( ON_3dPoint  end_point)
overridevirtual

Description: Force the curve to end at a specified point. Parameters: end_point - [in] Returns: true if successful. Remarks: Some end points cannot be moved. Be sure to check return code. See Also: ON_Curve::SetStartPoint ON_Curve::PointAtStart ON_Curve::PointAtEnd

Reimplemented from ON_Curve.

◆ SetStartPoint()

bool ON_ArcCurve::SetStartPoint ( ON_3dPoint  start_point)
overridevirtual

Domain changes from [a,b] to [-b,-a].

Description: Force the curve to start at a specified point. Parameters: start_point - [in] Returns: true if successful. Remarks: Some end points cannot be moved. Be sure to check return code. See Also: ON_Curve::SetEndPoint ON_Curve::PointAtStart ON_Curve::PointAtEnd

Reimplemented from ON_Curve.

◆ SizeOf()

unsigned int ON_ArcCurve::SizeOf ( ) const
overridevirtual

virtual ON_Object::SizeOf override

Reimplemented from ON_Object.

◆ SpanCount()

int ON_ArcCurve::SpanCount ( ) const
overridevirtual

number of smooth spans in curve

Implements ON_Curve.

◆ Split()

bool ON_ArcCurve::Split ( double  t,
ON_Curve *&  left_side,
ON_Curve *&  right_side 
) const
overridevirtual

Description: Splits (divides) the arc at the specified parameter.
The parameter must be in the interior of the arc's domain. The ON_Curve pointers passed to ON_ArcCurve::Split must either be nullptr or point to ON_ArcCurve objects. If a pointer is nullptr, then an ON_ArcCurve will be created in Split(). You may pass "this" as left_side or right_side. Parameters: t - [in] parameter to split the curve at in the interval returned by Domain(). left_side - [out] left portion of curve returned here. If not nullptr, left_side must point to an ON_ArcCuve. right_side - [out] right portion of curve returned here If not nullptr, right_side must point to an ON_ArcCuve. Remarks: Overrides virtual ON_Curve::Split.

Reimplemented from ON_Curve.

◆ Transform()

bool ON_ArcCurve::Transform ( const ON_Xform xform)
overridevirtual

Description: Transforms the object.

Parameters: xform - [in] transformation to apply to object. If xform.IsSimilarity() is zero, then you may want to call MakeSquishy() before calling Transform.

Remarks: When overriding this function, be sure to include a call to ON_Object::TransformUserData() which takes care of transforming any ON_UserData that may be attached to the object.

See Also: ON_Geometry::IsDeformable();

Remarks: Classes derived from ON_Geometry should call ON_Geometry::Transform() to handle user data transformations and then transform their definition.

Reimplemented from ON_Geometry.

◆ Trim()

bool ON_ArcCurve::Trim ( const ON_Interval domain)
overridevirtual

Description: Removes portions of the curve outside the specified interval. Parameters: domain - [in] interval of the curve to keep. Portions of the curve before curve(domain[0]) and after curve(domain[1]) are removed. Returns: true if successful.

Reimplemented from ON_Curve.

◆ Write()

bool ON_ArcCurve::Write ( ON_BinaryArchive binary_archive) const
overridevirtual

Description: Low level archive writing tool used by ON_BinaryArchive::WriteObject(). Parameters: binary_archive - archive to write to Returns: Returns true if the write is successful. Remarks: Use ON_BinaryArchive::WriteObject() to write objects. This Write() function should just write the specific definition of this object. It should not write and any chunk typecode or length information.

The default implementation of this virtual function returns false and does nothing.

Reimplemented from ON_Object.

Member Data Documentation

◆ m_arc

ON_Arc ON_ArcCurve::m_arc = ON_Arc::UnitCircle

defualt = radius 1 circle in x-y plane

◆ m_dim

int ON_ArcCurve::m_dim = 3

The dimension of a arc curve can be 2 or 3. (2 so ON_ArcCurve can be used as a trimming curve)

◆ m_t