C3D Toolkit
Kernel - 117982, Vision - 2.9.2.2
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Line segment in two-dimensional space. More...
#include <cur_line_segment.h>
Public Member Functions | |
Line segment initialization functions. | |
void | Init (const MbLineSegment &) |
void | Init (const MbCartPoint &p1, const MbCartPoint &p2) |
void | Init (const MbCartPoint &pnt, double x1, double x2) |
void | Init (double t1, double t2) |
void | Init1 (const MbCartPoint &p1, const MbCartPoint &p2, double &len, double &angle) |
void | Init2 (const MbCartPoint &p1, MbCartPoint &p2, const double &len, double &angle) |
void | Init3 (const MbCartPoint &p1, MbCartPoint &p2, double &len, const double &angle, const DiskreteLengthData *diskrData=nullptr) |
void | Init4 (MbCartPoint &p1, const MbCartPoint &p2, const double &len, double &angle) |
void | Init5 (MbCartPoint &p1, const MbCartPoint &p2, double &len, const double &angle, const DiskreteLengthData *diskrData=nullptr) |
void | Init6 (const MbCartPoint &p1, MbCartPoint &p2, const double &len, const double &angle) |
void | Init7 (MbCartPoint &p1, const MbCartPoint &p2, const double &len, const double &angle) |
void | Init8 (MbCartPoint &p1, MbCartPoint &p2, double &len, double &angle, const DiskreteLengthData &diskrData, bool correctP1) |
void | Init9 (const MbCartPoint &p1, MbCartPoint &p2, double &len, double &angle, const DiskreteLengthData &diskrData, bool keepX) |
Common functions of a geometric object. | |
MbePlaneType | IsA () const override |
Get the object type. | |
bool | IsSame (const MbPlaneItem &other, double accuracy=LENGTH_EPSILON) const override |
Determine whether objects are equal. More... | |
bool | SetEqual (const MbPlaneItem &) override |
Make the objects equal. More... | |
MbPlaneItem & | Duplicate (MbRegDuplicate *=nullptr) const override |
Create a copy. More... | |
void | Transform (const MbMatrix &, MbRegTransform *ireg=nullptr, const MbSurface *newSurface=nullptr) override |
Transform according to the matrix. More... | |
void | Move (const MbVector &, MbRegTransform *=nullptr, const MbSurface *newSurface=nullptr) override |
Translate along a vector. More... | |
void | Rotate (const MbCartPoint &pnt, const MbDirection &angle, MbRegTransform *=nullptr, const MbSurface *newSurface=nullptr) override |
Rotate about a point. More... | |
void | AddYourGabaritTo (MbRect &) const override |
Extend the given bounding rectangle so that it encloses this object. | |
void | CalculateGabarit (MbRect &) const override |
Detect the bounding box of a curve. More... | |
void | CalculateLocalGabarit (const MbMatrix &into, MbRect &local) const override |
Calculate bounding box in the local coordinate system. More... | |
double | DistanceToPoint (const MbCartPoint &to) const override |
Calculate the distance to a point. | |
bool | IsVisibleInRect (const MbRect &r, bool exact=false) const override |
Determine visibility of an object in rectangle. More... | |
bool | IsCompleteInRect (const MbRect &r) const override |
Determine whether an object is fully visible in rectangle. More... | |
bool | IsVisibleInRect (const MbRect &rect, bool exact=false) const override |
Determine visibility of an object in rectangle. More... | |
Functions for curve domain description. | |
double | GetTMin () const override |
Get the minimum value of parameter. | |
double | GetTMax () const override |
Get the maximum value of parameter. | |
bool | IsClosed () const override |
Define whether the curve is periodic. More... | |
bool | IsDegenerate (double eps=Math::LengthEps) const override |
Define whether the curve is degenerate.. | |
Functions for working in the curve's domain. | |
Functions: PointOn, FirstDer, SecondDer, ThirdDer,... correct the parameter when it is outside domain. | |
void | PointOn (double &t, MbCartPoint &p) const override |
Calculate a point on the curve. More... | |
void | FirstDer (double &t, MbVector &fd) const override |
Calculate first derivative. | |
void | SecondDer (double &t, MbVector &sd) const override |
Calculate second derivative. | |
void | ThirdDer (double &t, MbVector &td) const override |
Calculate third derivative. | |
Functions for working inside and outside the curve's domain. | |
Functions _PointOn, _FirstDer, _SecondDer, _ThirdDer,... do not correct parameter when it is out of domain bounds. When parameter is out of domain bounds, an unclosed curve is extended by tangent vector at corresponding end point in general case. | |
void | _PointOn (double t, MbCartPoint &p) const override |
Calculate point at curve and its extension. More... | |
void | _FirstDer (double t, MbVector &v) const override |
Calculate first derivative at curve and its extension. | |
void | _SecondDer (double t, MbVector &v) const override |
Calculate second derivative at curve and its extension. | |
void | _ThirdDer (double t, MbVector &v) const override |
Calculate third derivative at curve and its extension. | |
Functions for get of the group of data inside and outside the curve's domain of parameter. | |
void | Explore (double &t, bool ext, MbCartPoint &pnt, MbVector &fir, MbVector *sec, MbVector *thir) const override |
Calculate point and derivatives of object for given parameter. More... | |
Function of moving by curve | |
double | Step (double t, double sag) const override |
Calculate parameter step. More... | |
double | DeviationStep (double t, double angle) const override |
Calculate parameter step. More... | |
Common function of curve. | |
double | Curvature (double t) const override |
Calculate curvature of curve. | |
void | Inverse (MbRegTransform *iReg=nullptr) override |
Set the opposite direction of curve. | |
MbCurve * | Offset (double rad) const override |
Construct the equidistant curve which is shifted by the given value. | |
MbCurve * | Trimmed (double t1, double t2, int sense, const MbDimAccuracy &xyEps, bool saveParamLenAndLaw) const override |
Construct a trimmed curve with the given two-dimensional accuracy. More... | |
MbNurbs * | NurbsCurve (const MbCurveIntoNurbsInfo &) const override |
Construct a NURBS copy of a curve. More... | |
MbCurve * | NurbsCurve (const MbNurbsParameters &) const override |
Construct a NURBS copy of a curve. More... | |
MbeState | DeletePart (double t1, double t2, MbCurve *&part2) override |
Delete the piece of a curve. More... | |
MbeState | TrimmPart (double t1, double t2, MbCurve *&part2) override |
Keep the piece of a curve. More... | |
bool | GetSpecificPoint (const MbCartPoint &from, double &dmax, MbCartPoint &pnt) const override |
Return a specific point of a curve. More... | |
MbeState | Deformation (const MbRect &, const MbMatrix &) override |
Deform the curve. More... | |
bool | IsInRectForDeform (const MbRect &r) const override |
Determine visibility of a curve in rectangle. | |
bool | IsStraight (bool ignoreParams=false) const override |
Define whether the curve is rectilinear.. | |
MbeItemLocation | PointRelative (const MbCartPoint &pnt, double eps=Math::LengthEps) const override |
Define the point position relative to the curve. More... | |
double | PointProjection (const MbCartPoint &pnt) const override |
Calculate the point projection to the curve. More... | |
bool | NearPointProjection (const MbCartPoint &pnt, double xEpsilon, double yEpsilon, double &t, bool ext, MbRect1D *tRange=nullptr) const override |
Find the point projection to the curve. More... | |
void | PerpendicularPoint (const MbCartPoint &pnt, SArray< double > &tFind) const override |
Find perpendiculars to a curve. More... | |
void | IntersectHorizontal (double y, SArray< double > &cross) const override |
Find intersections of a curve with horizontal line. More... | |
void | IntersectVertical (double x, SArray< double > &cross) const override |
Find intersections of a curve with vertical line. More... | |
bool | HasLength (double &length) const override |
Calculate the metric length of a curve. More... | |
double | GetMetricLength () const override |
Calculate the metric length of a curve. More... | |
double | GetLengthEvaluation () const override |
Calculate the metric length of a curve. More... | |
double | LengthBetween2Points (MbCartPoint &p1, MbCartPoint &p2, MbCartPoint *pc=nullptr) const override |
Calculate minimal length of a curve between two points on it. More... | |
bool | DistanceAlong (double &t, double len, int curveDir, double eps=Math::LengthEps, VERSION version=Math::DefaultMathVersion()) const override |
Translate parameter along the curve. More... | |
double | CalculateLength (double t1, double t2) const override |
Calculate the metric length of a curve. More... | |
bool | GetMiddlePoint (MbCartPoint &) const override |
Calculate a middle point of a curve. | |
bool | GetCentre (MbCartPoint &) const override |
Calculate a center of curve. | |
bool | GetWeightCentre (MbCartPoint &) const override |
Calculate the center of gravity of a curve. | |
bool | IsSimilarToCurve (const MbCurve &curve, double precision=PARAM_PRECISION) const override |
Define whether the curves are similar for the merge. | |
size_t | GetCount () const override |
Define the number of splittings for one passage in operations. | |
void | GetPointsByEvenLengthDelta (size_t n, std::vector< MbCartPoint > &pnts) const override |
Get n points of a curve with equal intervals by arc length. | |
void | GetProperties (MbProperties &properties) override |
Get properties of the object. More... | |
void | SetProperties (const MbProperties &properties) override |
Change properties of the object. More... | |
void | GetBasisPoints (MbControlData &) const override |
Get control points of object. | |
void | SetBasisPoints (const MbControlData &) override |
Change the object by control points. | |
void | ThroughPoint (double t, const MbCartPoint &pnt) |
void | InsertPoint (double t, const MbCartPoint &pnt) |
double | GetAngle () const |
MbDirection | GetDirection () const |
bool | IsParallel (const MbLineSegment &seg, double eps=Math::AngleEps) const |
const MbCartPoint & | GetPoint1 () const |
const MbCartPoint & | GetPoint2 () const |
MbCartPoint & | SetPoint1 () |
MbCartPoint & | SetPoint2 () |
void | GetPoint1 (MbCartPoint &p) const |
void | GetPoint2 (MbCartPoint &p) const |
void | SetPoint1 (const MbCartPoint &p) |
void | SetPoint2 (const MbCartPoint &p) |
void | SetLimitPoint (ptrdiff_t number, const MbCartPoint &pnt) |
void | CheckParameter (double &t) const |
MbCartPoint | Origin () const |
MbVector | Derive () const |
MbDirection | Direction () const |
bool | Extend (const MbCartPoint &point) |
double | PointProjectionOnBaseLine (const MbCartPoint &pnt) const |
double | PointProjectionOnBaseLine (const MbCartPoint &pnt, MbCartPoint &proj) const |
double | DistanceToPointOnBaseLine (const MbCartPoint &pnt) const |
bool | IsHorizontal (double eps=Math::paramEpsilon) const |
bool | IsVertical (double eps=Math::paramEpsilon) const |
MbResultType | Extend (const MbCurveExtensionParameters ¶meters, c3d::PlaneCurveSPtr &resCurve) const override |
Extend the curve. More... | |
const MbLineSegment & | operator= (const MbLineSegment &) |
virtual MbCurve * | Trimmed (double t1, double t2, int sense, bool saveParamLenAndLaw=false) const |
Construct a trimmed curve. More... | |
virtual MbCurve * | Trimmed (double t1, double t2, int sense, const MbDimAccuracy &xyEps, bool saveParamLenAndLaw) const=0 |
Construct a trimmed curve with the given two-dimensional accuracy. More... | |
Public Member Functions inherited from MbCurve | |
virtual | ~MbCurve () |
Destructor. | |
MbePlaneType | Type () const override |
Get the group type of the object. | |
MbePlaneType | Family () const override |
Get family of object. | |
void | Refresh () override |
Set all temporary (mutable) data of object to undefined (initial) state. | |
virtual void | PrepareIntegralData (const bool forced) const |
Calculate temporary (mutable) data of an object. More... | |
size_t | size () const |
Number of objects if object is interpreted as vector of objects. | |
const MbCurve * | operator[] (size_t) const |
An access operator. | |
virtual void | AddYourGabaritMtr (MbRect &rect, const MbMatrix &matr) const |
Add a bounding box to rectangle. More... | |
bool | IsVisibleInRect (const MbRect &rect, bool exact=false) const override |
Determine visibility of an object in rectangle. More... | |
double | DistanceToPoint (const MbCartPoint &toP) const override |
Calculate the distance to a point. | |
bool | DistanceToPointIfLess (const MbCartPoint &toP, double &d) const override |
Calculate the distance to a point. More... | |
virtual double | GetPeriod () const |
Return period. More... | |
virtual bool | IsPeriodic () const |
Define whether the curve is periodic. More... | |
bool | IsTouch (double eps=Math::LengthEps) const |
Determine whether a curve is closed regardless of the smoothness of the closure. More... | |
void | Tangent (double &t, MbVector &v) const |
Calculate tangent vector (normalized). | |
void | Tangent (double &t, MbDirection &d) const |
Calculate tangent vector (normalized). | |
void | Normal (double &t, MbVector &v) const |
Calculate main normal vector (normalized). | |
void | Normal (double &t, MbDirection &d) const |
Calculate main normal vector (normalized). | |
void | _Tangent (double t, MbVector &v) const |
Calculate tangent vector (normalized). | |
void | _Tangent (double t, MbDirection &d) const |
Calculate tangent vector (normalized). | |
void | _Normal (double t, MbVector &v) const |
Calculate main normal vector (normalized) at curve and its extension. | |
void | _Normal (double t, MbDirection &d) const |
Calculate main normal vector (normalized) at curve and its extension. | |
double | CurvatureDerive (double t) const |
Calculate derivative of curvature by parameter. | |
double | CurvatureRadius (double t) const |
Calculate radius of curve with a sign. | |
virtual bool | IsBounded () const |
Define whether the curve is bounded. | |
virtual bool | IsSmoothConnected (double angleEps) const |
Define whether joints of contour/curve are smooth. | |
double | GetParamLength () const |
Calculate the parametric length of a curve. | |
virtual double | CalculateMetricLength () const |
Calculate the metric length of a curve. | |
virtual void | ResetTCalc () const |
Reset the current value of parameter. | |
virtual bool | BeginApprox (double sag, double &tbeg, double &tend, MbCartPoint &pnt, bool &existNextPoint) const |
Start approximation for the drawing. More... | |
virtual bool | GetNextPoint (double sag, double tend, double &tcur, MbCartPoint &pnt) const |
Calculate the next point. More... | |
virtual void | CalculatePolygon (double sag, MbPolygon &poligon) const |
Calculate an array of points for drawing. More... | |
MbNurbs * | NurbsCurve (const MbCurveIntoNurbsInfo *nInfo=nullptr) const |
Construct a NURBS copy of a curve. More... | |
virtual MbCurve * | Trimmed (double t1, double t2, int sense, bool saveParamLenAndLaw=false) const |
Construct a trimmed curve. More... | |
virtual MbContour * | NurbsContour () const |
Approximate of a curve by the contour from NURBS curves. | |
virtual MbeLocation | PointLocation (const MbCartPoint &pnt, double eps=Math::LengthEps) const |
The point position relative to the curve. | |
MbeNewtonResult | PointProjectionNewton (const MbCartPoint &p, double xEpsilon, double yEpsilon, size_t iterLimit, double &t, bool ext) const |
Find the point projection to the curve. More... | |
void | PointProjection (const MbCartPoint &pnt, MbCartPoint &on) const |
Calculate the point projection to the curve. More... | |
void | BasePointProjection (const MbCartPoint &pnt, MbCartPoint &on) const |
Calculate the point projection to the curve. More... | |
void | PointProjectionAndAngle (MbCartPoint &on, double &angle) const |
Calculate the point projection to the curve. More... | |
bool | DirectPointProjection (const MbCartPoint &pnt, const MbDirection &dir, MbCartPoint &pp) const |
Calculate the point projection to the curve. More... | |
virtual bool | SmallestPerpendicular (const MbCartPoint &pnt, double &tProj) const |
Find the nearest perpendicular to the curve. More... | |
virtual void | TangentPoint (const MbCartPoint &pnt, SArray< double > &tFind) const |
Find tangents to a curve. More... | |
virtual void | Isoclinal (const MbVector &angle, SArray< double > &tFind) const |
Construct isoclines. More... | |
void | HorzIsoclinal (SArray< double > &tFind) const |
Construct horizontal isoclines. More... | |
void | VertIsoclinal (SArray< double > &tFind) const |
Construct vertical isoclines. More... | |
void | LowestPoint (MbCartPoint &lowestPoint, double &tLowest) const |
Find the lowest point of a curve and the corresponding parameter. | |
virtual void | SelfIntersect (SArray< MbCrossPoint > &, double metricEps=Math::LengthEps) const |
Find self-intersections of curve. More... | |
virtual void | OffsetCuspPoint (SArray< double > &tCusps, double dist) const |
Find the special points of an offset curve. More... | |
virtual bool | GoThroughPoint (MbCartPoint &pnt) |
Create a curve through a point. More... | |
virtual void | GetStartPoint (MbCartPoint &) const |
Calculate a start point of a curve. | |
virtual void | GetEndPoint (MbCartPoint &) const |
Calculate an end point of a curve. | |
virtual double | GetRadius (double accuracy=PARAM_REGION) const |
Get the physical radius of the curve or zero if it impossible. More... | |
virtual bool | GetAxisPoint (MbCartPoint &p) const |
Calculate a point to construct an axis. More... | |
void | GetPointsByEvenParamDelta (size_t n, std::vector< MbCartPoint > &pnts) const |
Get n points of a curve with equal intervals by parameter. | |
void | GetPointsByEvenParamDelta (size_t n, SArray< MbCartPoint > &pnts) const |
void | GetPointsByEvenLengthDelta (size_t n, SArray< MbCartPoint > &pnts) const |
bool | IsPointOn (const MbCartPoint &, double eps=Math::LengthEps) const |
Check whether the point is on a curve with the tolerance eps. | |
bool | IsParamOn (double t, double eps=Math::paramEpsilon) const |
Check whether the parameter is inside a range with the tolerance eps. | |
void | CorrectCyclicParameter (double &t, double eps=Math::paramRegion) const |
Correct parameter for closed curves. More... | |
void | CorrectParameter (double &t) const |
Correct parameter. More... | |
MbCurve * | InverseDuplicate () const |
Create a copy with changed direction. | |
bool | IsInverseSame (const MbCurve &curve, double accuracy=LENGTH_EPSILON) const |
Define whether an inversed curve is the same. | |
virtual bool | IsReparamSame (const MbCurve &curve, double &factor) const |
Define whether a reparameterized curve is the same. More... | |
MbCartPoint | GetLimitPoint (ptrdiff_t number) const |
Calculate the boundary point. More... | |
void | GetLimitPoint (ptrdiff_t number, MbCartPoint &pnt) const |
Calculate the boundary point. More... | |
void | GetLimitTangent (ptrdiff_t number, MbVector &v) const |
Calculate a tangent vector to the boundary point. More... | |
void | GetLimitPointAndTangent (ptrdiff_t number, MbCartPoint &pnt, MbVector &v) const |
Calculate a tangent vector and point at the end of a curve. More... | |
bool | AreLimitPointsEqual () const |
Are boundary points equal? More... | |
virtual const MbCurve & | GetBasisCurve () const |
Returns the base curve if exists or itself. | |
virtual MbCurve & | SetBasisCurve () |
Returns the base curve if exists or itself. | |
virtual double | GetParamDelta () const |
Return an indent by parameter of a curve. | |
virtual const MbCurve & | GetSubstrate () const |
Get a substrate or itself. | |
virtual MbCurve & | SetSubstrate () |
Get a substrate or itself. | |
virtual int | SubstrateCurveDirection () const |
Return direction of a substrate relative to a curve or vice versa. | |
virtual void | SubstrateToCurve (double &) const |
Transform a substrate parameter to the curve parameter. | |
virtual void | CurveToSubstrate (double &) const |
Transform a curve parameter to the substrate parameter. | |
virtual double | GetParamToUnit () const |
Return increment of parameter, corresponding to the unit length in space. | |
virtual double | GetParamToUnit (double t) const |
Return increment of parameter, corresponding to the unit length in space according to parameter. | |
virtual double | GetTEpsilon (double epsilon) const |
Return the minimal discernible value of parameter with the given tolerance. | |
virtual double | GetTEpsilon (double t, double epsilon) const |
Return the minimal discernible value of parameter with the given tolerance according to parameter. | |
virtual double | GetTRegion (double epsilon) const |
Return the minimal discernible value of parameter with the given tolerance. | |
virtual double | GetTRegion (double t, double epsilon) const |
Return the minimal discernible value of parameter with the given tolerance according to parameter. | |
virtual double | GetTRegion (double t, const MbDimAccuracy &xyEps) const |
Return the minimal discernible value of parameter with the given two-dimensinal accuracy according to parameter. The method takes into account the direction of the curve at a point. | |
double | GetTMid () const |
Return the middle of parametric range of a curve. | |
double | GetTRange () const |
Return the parametric length of a curve. | |
MbCartPoint | PointOn (double &t) const |
Calculate point on the curve. | |
MbVector | FirstDer (double &t) const |
Calculate first derivative. | |
MbDirection | Tangent (double &t) const |
Calculate tangent vector (normalized). | |
MbDirection | Normal (double &t) const |
Calculate the normal vector. | |
double | DerLength (double &t) const |
Calculate the length of derivative vector. | |
virtual void | GetAnalyticalFunctionsBounds (std::vector< double > ¶ms) const |
Get the boundaries of the curve sections that are described by one analytical function. More... | |
virtual void | BreakPoints (std::vector< double > &vBreaks, double precision=ANGLE_REGION) const |
\ ru Определение точек излома кривой. The determination of curve smoothness break points. | |
MbProperty & | CreateProperty (MbePrompt name) const override |
Create a custom property. | |
virtual bool | IsContinuousDerivative (bool &contLength, bool &contDirect, c3d::DoubleVector *params=nullptr, double epsilon=EPSILON) const |
Get properties of the object. More... | |
virtual bool | SetContinuousDerivativeLength (VERSION version, double epsilon=EPSILON) |
Eliminate the discontinuities of the first derivative at length. More... | |
bool | IsSpaceNear (const MbCurve &curve, double eps, bool ext, double devSag=5.0 *Math::deviateSag) const |
Check whether the two curves are metrically close. More... | |
bool | IsSpaceNear (const MbCurve &curve, double xEps, double yEps, bool ext, double xNear, double yNear, double devSag=5.0 *Math::deviateSag) const |
Check whether the two curves are metrically close. More... | |
SimpleName | GetCurveName () const |
A curve name. | |
void | SetCurveName (SimpleName newName) |
Set a curve name. | |
Public Member Functions inherited from MbPlaneItem | |
virtual | ~MbPlaneItem () |
Destructor. | |
void | PrepareWrite () const |
Object registration. More... | |
MbeRefType | RefType () const override |
Get the registration type (for copying, duplication). | |
virtual void | Rotate (const MbCartPoint &pnt, double angle, MbRegTransform *iReg=nullptr, const MbSurface *newSurface=nullptr) |
Rotate about a point. More... | |
virtual bool | IsSimilar (const MbPlaneItem &item) const |
Determine whether the objects are similar. More... | |
Public Member Functions inherited from TapeBase | |
TapeBase (RegistrableRec regs=noRegistrable) | |
Constructor. | |
TapeBase (const TapeBase &) | |
Copy-constructor. | |
virtual | ~TapeBase () |
Destructor. | |
RegistrableRec | GetRegistrable () const |
Whether the stream class is registrable. | |
void | SetRegistrable (RegistrableRec regs=registrable) const |
Set the state of registration of the stream class. | |
virtual const char * | GetPureName (const VersionContainer &) const |
Get the class name. | |
virtual bool | IsFamilyRegistrable () const |
Whether the object belongs to a registrable family. | |
Public Member Functions inherited from MbRefItem | |
refcount_t | GetUseCount () const |
Get count of references (get count of owners of an object). | |
refcount_t | AddRef () const |
Increase count of references by one. | |
refcount_t | DecRef () const |
Decrease count of references by one. | |
refcount_t | Release () const |
Decrease count of references by one and if count of references became zero, then remove itself. | |
Public Member Functions inherited from MbNestSyncItem | |
void | Lock () const |
Switch lock on (locking happens only in parallel region). | |
void | Unlock () const |
Switch lock off if locking has been set. | |
CommonRecursiveMutex * | GetLock () const |
Get a pointer to the mutex object. Return nullptr if no parallelism. For use in ScopedLock. | |
Additional Inherited Members | |
Protected Member Functions inherited from MbCurve | |
MbCurve () | |
Default constructor. | |
MbCurve (const MbCurve &other) | |
Copy-constructor. | |
Protected Member Functions inherited from MbPlaneItem | |
MbPlaneItem () | |
Constructor. | |
Protected Member Functions inherited from MbRefItem | |
MbRefItem () | |
Constructor without parameters. | |
Protected Attributes inherited from MbCurve | |
SimpleName | name |
A curve name. The object data is temporary and used internally. | |
Line segment in two-dimensional space.
Line segment is described by the start point "point1" and the end point "point2".
Domain of a line segment is the range [0, 1]. The start point of line segment corresponds to parameter tmin=0, the end point of line segment corresponds to parameter tmax=1.
Radius-vector of line segment is described by the vector function
r(t) = ((1 - t) point1) + (t point2).
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overridevirtual |
Determine whether objects are equal.
Objects of the same types with similar (equal) data are considered to be equal.
[in] | item | - Object for comparison. |
[in] | accuracy | - The accuracy. |
Implements MbPlaneItem.
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overridevirtual |
Make the objects equal.
It is possible to make equal only similar objects. Similar object is equated to a given one by changing of numerical data.
[in] | item | - Object for initialization. |
Implements MbPlaneItem.
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overridevirtual |
Create a copy.
Create a copy of the object using the registrator. The registrator is used for preventing multiple copying of an object. If the object contains references to other objects, then the included objects are copied too. It is allowed not to pass the registrator to a function. Then the new copy of the object will be created. It is allowed not to use the registrator while copying a single object or a set of disconnected objects. The registrator must be used to copy several correlated objects successively. It is possible that the objects' connection means that the objects contain references to the common objects. Then, while copying without using the registrator, one can get a set of copies which contain references to the different copies of a single included object, what leads to loss of connection between the copies.
[in] | iReg | - Registrator. |
Implements MbPlaneItem.
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overridevirtual |
Transform according to the matrix.
Transform the initial object according to the matrix using the registrator. If the object contains references to the other geometric objects, then the nested objects are transformed according to the matrix. The registrator is used for preventing multiple transformation of the object. The function can be used without the registrator to transform a single object. The registrator must be used to transform a set of interdependent objects to prevent repeated transformation of the nested objects, since it is not ruled out that several objects from the set contain references to one or several common objects subject to transformation.
[in] | matr | - A transformation matrix. |
[in] | iReg | - Registrator. |
[in] | surface | - New base surface of object provided that 'matr' is a transformation matrix from the old surface to a new one. For transformation of projection curve. It isn't considered if the surface is planar. |
Implements MbPlaneItem.
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Translate along a vector.
Translate a geometric object along the vector using the registrator. If the object contains references to the other objects, then the translation operation is applied to the nested objects. The registrator is used for preventing multiple transformation of the object. The function can be used without the registrator to transform a single object. The registrator must be used to transform a set of interdependent objects to prevent repeated transformation of the nested objects, since it is not ruled out that several objects from the set contain references to one or several common objects subject to translation.
[in] | to | - Translation vector. |
[in] | iReg | - Registrator. |
[in] | surface | - New base surface of object provided that 'matr' is a transformation matrix from the old surface to a new one. For transformation of projection curve. It isn't considered if the surface is planar. |
Implements MbPlaneItem.
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Rotate about a point.
Rotate an object about a point by the given angle using the registrator. If the object contains references to the other geometric objects, then the rotation operation is applied to the nested objects too. The registrator is used for preventing multiple transformation of the object. The function can be used without the registrator to transform a single object. The registrator must be used to transform a set of interdependent objects to prevent repeated transformation of the nested objects, since it is not ruled out that several objects from the set contain references to one or several common objects subject to rotation.
[in] | pnt | - Fixed point. |
[in] | angle | - The rotation angle. |
[in] | iReg | - Registrator. |
[in] | surface | - New base surface of object provided that 'matr' is a transformation matrix from the old surface to a new one. For transformation of projection curve. It isn't considered if the surface is planar. |
Implements MbPlaneItem.
Detect the bounding box of a curve.
The sent rectangle becomes empty for getting a bounding box. Then bounding boxes of an object are calculated and saved into a rectangle 'rect'.
Reimplemented from MbCurve.
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Calculate bounding box in the local coordinate system.
For getting a bounding box of an object relatively to the local coordinate system, a sent rectangle becomes empty. After that bounding boxes of an object in the local coordinate system are calculated and saved in a rectangle 'rect'.
[in] | matr | - A transition matrix from the current coordinate system of the object to the local coordinate system. |
[out] | rect | - A rectangle with information about bounds. |
Reimplemented from MbCurve.
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overridevirtual |
Determine visibility of an object in rectangle.
It is considered that the object is visible in rectangle if bounds of an object is crossed with the given rectangle or (high requirements to accuracy, exact = true) at least one point of object is in the rectangle.
[in] | rect | - Rectangle to check getting to. |
[in] | exact | - Check accuracy. If exact = true, then at least one point of object gets to the rectangle. if exact = false, it is sufficient to find intersection between rectangle and bounding box of an object. |
Implements MbPlaneItem.
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Determine whether an object is fully visible in rectangle.
An object is fully contained in the given rectangle if its bounding rectangle is included in the given rectangle.
[in] | rect | - Rectangle to check inclusion to. |
Reimplemented from MbCurve.
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Define whether the curve is periodic.
Define whether the curve is periodic.
A periodic curve is closed. A curve is considered as periodic if:
Implements MbCurve.
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Calculate a point on the curve.
Correct parameter when getting out of domain bounds and calculate a point on the curve.
[in] | t | - Curve parameter. |
[out] | p | - A point on the curve. |
Implements MbCurve.
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Calculate point at curve and its extension.
Calculate a point on the curve including the outside area determination parameter.
[in] | t | - Curve parameter. |
[out] | p | - A point on the curve. |
Reimplemented from MbCurve.
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overridevirtual |
Calculate point and derivatives of object for given parameter.
Values of point and derivatives are calculated on parameter area and on extended curve.
[in] | t | - Parameter. |
[in] | ext | - On parameters area (false), on extended curve (true). |
[out] | pnt | - Point. |
[out] | fir | - Derivative with respect to t. |
[out] | sec | - Second derivative with respect to t, if not nullptr. |
[out] | thir | - Third derivative with respect to t, if not nullptr. |
Reimplemented from MbCurve.
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Calculate parameter step.
Calculate parameter step for the curve's approximation by its sag value. Calculation of the step is performed with consideration of curvature radius. A step of curve's approximation is chosen in such way, that the deviation of a curve from its polygon does not exceed the given sag value.
[in] | t | - A parameter defining the point on a curve, at which a step should be calculated. |
[in] | sag | - Maximum feasible sag value. |
Reimplemented from MbCurve.
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Calculate parameter step.
Calculate parameter step for the curve's approximation by the deviation angle of the tangent vector. A step of curve's approximation is chosen in such way, that angular deviation of the tangent curve at the next point does not exceed the given value ang.
[in] | t | - A parameter defining the point on a curve, at which a step should be calculated. |
[in] | ang | - The maximum feasible deviation angle of tangent. |
Reimplemented from MbCurve.
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Construct a trimmed curve with the given two-dimensional accuracy.
Constructs a trimmed curve, a start point of which corresponds to a point with parameter t1 and an end point corresponds to a point with parameter t2. Direction of the constructed curve relative to the initial curve may be changed by the parameter 'sense'. If the curve is closed, then there may be obtained a trimmed curve, passing through the start of a curve.
In a case of closed curve (or for an arc - exception) three parameters 'sense', t1 and t2 clearly define the result. In a case of unclosed curve the parameter 'sense' and parameter of trimming should correspond each other:
1) if sense == 1, then t1 < t2,
2) if sense == -1, then t1 > t2,
If there is a discrepancy between 'sense' and parameters of trimming, then 'sense' parameter has higher priority. If parameters t1 and t2 are equal and the curve is closed, then in result a closed curve should be obtained.
[in] | t1 | - Parameter corresponding to start of a trimmed curve. |
[in] | t2 | - Parameter corresponding to end of a trimmed curve. |
[in] | sense | - Direction of a trimmed curve in relation to an initial curve. sense = 1 - direction does not change. sense = -1 - direction changes to the opposite value. |
[in] | xyEps | - Two-dimensional accuracy. It is used for estimations near the points corresponding to the parameters t1 and t2. |
[in] | saveParLenAndLaw | - Save parametric length and law. |
Implements MbCurve.
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Construct a NURBS copy of a curve.
Constructs a NURBS curve which approximates a given curve inside the range [t1, t2]. with a given direction. If it is possible, constructs the accurate curve, perhaps with multiple knots. The number of knots for NURBS is defined depending on the curve.
[in,out] | nurbs | - A constructed NURBS-curve. |
[in] | t1 | - Parameter corresponding to start of approximated part of a curve. |
[in] | t2 | - Parameter corresponding to end of approximated part of a curve. |
[in] | sense | - Does the direction of parameter increasing along the NURBS curve coincide with direction of the initial curve. 'sense' > 0 - direction coincide. |
[in] | nInfo | - Parameters of conversion of a curve to NURBS. |
Implements MbCurve.
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Construct a NURBS copy of a curve.
Constructs a NURBS curve which approximates a given curve with the given parameters. In parameters the degree and the number of knots of a spline and the range of curve's parameters changing may be set. If the flag of accurate approximation is not set in parameters then NURBS without multiple knots is constructed.
[in] | tParameters | - Parameters for the construction of a NURBS copy of the curve. |
Reimplemented from MbCurve.
Delete the piece of a curve.
Delete a part of a curve between parameters t1 and t2. If the curve is split into two parts after deletion, then the initial object corresponds to the start part of a curve, and parameter 'part2' contains the end part of a curve. If the curve remained simply connected, then only the initial object changes.
[in] | t1 | - Start parameter of trimming. |
[in] | t2 | - End parameter of trimming. |
[in,out] | part2 | - The end part of a curve after deletion, if an initial curve is split into parts. It may be the only part after deletions, \ if the curve did not change (e. g. for a curve of MbLine type), in this case the returned value is dp_Degenerated. |
Implements MbCurve.
Keep the piece of a curve.
Leave a part of a curve between parameters t1 and t2.
In a case of success the returned value equals dp_Changed and a curve satisfies to the next conditions:
[in] | t1 | - Start parameter of trimming. |
[in] | t2 | - End parameter of trimming. |
[in,out] | part2 | - This may be filled by a result of trimming if the curve was not changed. In this case the returned value is dp_Degenerated. Otherwise nullptr is returned. |
Implements MbCurve.
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Return a specific point of a curve.
Return a specific point of a curve if the distance from it to the given point is less than dmax. Specific points of a bounded curve are its start and end points.
[in] | from | - A control point |
[in,out] | dmax | - Input - maximum distance for search of specific point. Output - a distance from the point 'from' to the found specific point. |
[in,out] | pnt | - Tangent vector. |
Reimplemented from MbCurve.
Deform the curve.
If the bounding rectangle of a curve intersects the given one, then the curve is transformed according to the matrix with a help of 'Transform' function.
[in] | rect | - A rectangle, in which the visibility of a curve is checked. |
[in] | matr | - A deformation matrix. |
Reimplemented from MbCurve.
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Define the point position relative to the curve.
There is defined on which side from a curve the point is located, by the positive direction of a curve.
[in] | pnt | - A given point. |
[in] | eps | - A tolerance of detection. |
Reimplemented from MbCurve.
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Calculate the point projection to the curve.
Calculate the parameter of the curve corresponding to the projection of the given point on this curve.
This function does not allow the parameter to go beyond the parametric domain of the definition of an unclosed curve, unlike the NearPointProjection function.
[in] | pnt | - A given point. |
Reimplemented from MbCurve.
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Find the point projection to the curve.
Find the nearest projection of a point on a curve (in the range of the curve) or on its continuation by the given initial approximation. If the parameter ext = true, then also search for a projection on the continuation of the curve. If the range of change of the 'tRange' parameter is specified, then find the projection in the specified range. A range of parameter may not belong to the domain of a curve. The Newton method is used.
[in] | pnt | - A given point. |
[in] | xEpsilon | - A tolerance of detection of the projection by x axis. |
[in] | yEpsilon | - A tolerance of detection of the projection by y axis. |
[in,out] | t | - Input - initial approximation, output - parameter of a curve corresponding to the nearest projection. |
[in] | ext | - A flag defining whether to seek projection on the extension of the curve. |
[in] | tRange | - A range of parameter changing in which the solution should be found. |
Reimplemented from MbCurve.
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Find perpendiculars to a curve.
Find all perpendiculars to a curve from the given point. In this function a curve without extensions is considered.
[in] | pnt | - A given point. |
[in,out] | tFind | - An array of parameter on a curve, corresponding to the points on a curve, which the perpendiculars are passed through. |
Reimplemented from MbCurve.
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Find intersections of a curve with horizontal line.
Find intersections of a curve with horizontal line.
[in] | y | - An ordinate of points of a horizontal line. |
[in,out] | cross | - An array of parameters of a curve corresponding to the intersection points. |
Reimplemented from MbCurve.
Find intersections of a curve with vertical line.
Find intersections of a curve with vertical line.
[in] | x | - An abscissa of points of a vertical line. |
[in,out] | cross | - An array of parameters of a curve corresponding to the intersection points. |
Reimplemented from MbCurve.
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Calculate the metric length of a curve.
Calculate the metric length of a curve and save the result in the variable 'length'.
[in,out] | length | - Calculated length of a curve. |
Implements MbCurve.
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Calculate the metric length of a curve.
If a length of a curve is already calculated and saved in the object then this function returns the existing result, without repeating of calculations. Otherwise the length is calculated by the function CalculateMetricLength().
Implements MbCurve.
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Calculate the metric length of a curve.
The length of a curve is inaccurately calculated, by approximation of polyline. If the more accurate curve's length is required, then use the function CalculateMetricLength().
Reimplemented from MbCurve.
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Calculate minimal length of a curve between two points on it.
If a curve is not closed, then the length between points is clearly defined. If a curve is closed, then there is chosen the shortest path from the two possible paths. For a closed curve the desired part may be defined by the control points pc. In this case the such part of a curve is chosen, which is closer to a control point.
[in] | p1 | - The first point. |
[in] | p2 | - The second point |
[in] | pc | - A control point |
Reimplemented from MbCurve.
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Translate parameter along the curve.
Translate parameter along the curve by the given distance at the given direction. The new value of parameter is saved in the variable t. If the curve is not closed and the length of its part from the point with parameter t to the end at the given direction is less than the required shift, then calculations are performed on extension of the curve, if it possible to construct such extension.
[in,out] | t | - Input - the initial value of parameter. Output - the new value of parameter. |
[in] | len | - The value of shift along the curve. |
[in] | curveDir | - The offset direction. If curveDir is non-negative, then the shift is directed to the side of increasing of parameter. Otherwise - to the side of decreasing of parameter. |
[in] | eps | - Computational tolerance. |
[in] | version | - Version. |
Reimplemented from MbCurve.
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Calculate the metric length of a curve.
Calculate the metric length of unclosed curve from parameter t1 to parameter t2. The condition t1 < t2 should satisfied.
[in] | t1 | - Start parameter of a curve section. |
[in] | t2 | - End parameter of a curve section. |
Reimplemented from MbCurve.
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Get properties of the object.
Get internal data (properties) of an object for viewing and modification.
[in] | properties | - Container for internal data of an object. |
Implements MbPlaneItem.
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Change properties of the object.
Change internal data (properties) of object is performed by copying of corresponding values from the given object.
[in] | properties | - Container for internal data of an object. |
Implements MbPlaneItem.
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Extend the curve.
Extend the curve according to the given parameters.
[in] | parameters | - Parameters of extension. |
[out] | resCurve | - The extended curve or nullptr if extension is impossible. |
Reimplemented from MbCurve.
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Determine visibility of an object in rectangle.
Determine whether an object is visible in the given rectangle. There is a possibility to perform a fast check or more thorough check when the second parameter has a corresponding value.
[in] | rect | - A given two-dimensional rectangle. |
[in] | exact | - Whether to perform a more thorough check. |
virtual MbCurve* MbCurve::Trimmed |
Construct a trimmed curve.
Constructs a trimmed curve, a start point of which corresponds to a point with parameter t1 and an end point corresponds to a point with parameter t2. Direction of the constructed curve relative to the initial curve may be changed by the parameter 'sense'. If the curve is closed, then there may be obtained a trimmed curve, passing through the start of a curve.
In a case of closed curve (or for an arc - exception) three parameters 'sense', t1 and t2 clearly define the result. In a case of unclosed curve the parameter 'sense' and parameter of trimming should correspond each other:
1) if sense == 1, then t1 < t2,
2) if sense == -1, then t1 > t2,
If there is a discrepancy between 'sense' and parameters of trimming, then 'sense' parameter has higher priority. If parameters t1 and t2 are equal and the curve is closed, then in result a closed curve should be obtained.
[in] | t1 | - Parameter corresponding to start of a trimmed curve. |
[in] | t2 | - Parameter corresponding to end of a trimmed curve. |
[in] | sense | - Direction of a trimmed curve in relation to an initial curve. sense = 1 - direction does not change. sense = -1 - direction changes to the opposite value. |
[in] | saveParLenAndLaw | - Save parametric length and law. |
virtual MbCurve* MbCurve::Trimmed |
Construct a trimmed curve with the given two-dimensional accuracy.
Constructs a trimmed curve, a start point of which corresponds to a point with parameter t1 and an end point corresponds to a point with parameter t2. Direction of the constructed curve relative to the initial curve may be changed by the parameter 'sense'. If the curve is closed, then there may be obtained a trimmed curve, passing through the start of a curve.
In a case of closed curve (or for an arc - exception) three parameters 'sense', t1 and t2 clearly define the result. In a case of unclosed curve the parameter 'sense' and parameter of trimming should correspond each other:
1) if sense == 1, then t1 < t2,
2) if sense == -1, then t1 > t2,
If there is a discrepancy between 'sense' and parameters of trimming, then 'sense' parameter has higher priority. If parameters t1 and t2 are equal and the curve is closed, then in result a closed curve should be obtained.
[in] | t1 | - Parameter corresponding to start of a trimmed curve. |
[in] | t2 | - Parameter corresponding to end of a trimmed curve. |
[in] | sense | - Direction of a trimmed curve in relation to an initial curve. sense = 1 - direction does not change. sense = -1 - direction changes to the opposite value. |
[in] | xyEps | - Two-dimensional accuracy. It is used for estimations near the points corresponding to the parameters t1 and t2. |
[in] | saveParLenAndLaw | - Save parametric length and law. |