C3D Toolkit
Kernel - 117982, Vision - 2.9.2.2
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Line segment in three-dimensional space. More...
#include <cur_line_segment3d.h>
Public Member Functions | |
MbeSpaceType | IsA () const override |
Get the type of the object. | |
MbSpaceItem & | Duplicate (MbRegDuplicate *=nullptr) const override |
Create a copy of the object. More... | |
bool | IsSame (const MbSpaceItem &other, double accuracy=LENGTH_EPSILON) const override |
Determine whether an object is equal. More... | |
bool | SetEqual (const MbSpaceItem &) override |
Make objects equal if they are similar. More... | |
void | Transform (const MbMatrix3D &, MbRegTransform *=nullptr) override |
Convert the object according to the matrix. More... | |
void | Move (const MbVector3D &, MbRegTransform *=nullptr) override |
Move an object along a vector. More... | |
void | Rotate (const MbAxis3D &, double angle, MbRegTransform *=nullptr) override |
Rotate an object around an axis at a given angle. More... | |
void | GetProperties (MbProperties &) override |
Outstanding properties of the object. More... | |
void | SetProperties (const MbProperties &) override |
Change the properties of an object. More... | |
void | GetBasisItems (RPArray< MbSpaceItem > &) override |
Outstanding reference objects in a container sent. | |
void | GetBasisPoints (MbControlData3D &) const override |
Get control points of object. | |
void | SetBasisPoints (const MbControlData3D &) override |
Change the object by control points. | |
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... | |
void | PointOn (double &t, MbCartPoint3D &) const override |
Calculate a point on the curve. More... | |
void | FirstDer (double &t, MbVector3D &) const override |
Calculate first derivative. | |
void | SecondDer (double &t, MbVector3D &) const override |
Calculate second derivative. | |
void | ThirdDer (double &t, MbVector3D &) const override |
Calculate third derivative. | |
void | _PointOn (double t, MbCartPoint3D &) const override |
Calculate point at curve and its extension. More... | |
void | _FirstDer (double t, MbVector3D &) const override |
Calculate first derivative at curve and its extension. | |
void | _SecondDer (double t, MbVector3D &) const override |
Calculate second derivative at curve and its extension. | |
void | _ThirdDer (double t, MbVector3D &) const override |
Calculate third derivative at curve and its extension. | |
void | Explore (double &t, bool ext, MbCartPoint3D &pnt, MbVector3D &fir, MbVector3D *sec, MbVector3D *thir) const override |
Calculate point and derivatives of object for given parameter. More... | |
MbNurbs3D * | NurbsCurve (const MbCurveIntoNurbsInfo &) const override |
Construct a NURBS copy of a curve. More... | |
MbCurve3D * | NurbsCurve (const MbNurbsParameters &) const override |
Construct a NURBS copy of a curve. More... | |
MbCurve3D * | Trimmed (double t1, double t2, int sense, const MbDimAccuracy &xyzEps, bool saveParamLenAndLaw) const override |
Construct a trimmed curve with the given two-dimensional accuracy. More... | |
void | Inverse (MbRegTransform *iReg=nullptr) override |
Change direction of a curve. | |
double | CalculateMetricLength () const override |
Calculate the metric length of a curve. | |
double | GetLengthEvaluation () const override |
Calculate the metric length of a curve. More... | |
double | CalculateLength (double t1, double t2) const override |
Calculate the metric length of a curve. More... | |
void | CalculateGabarit (MbCube &) const override |
Calculate bounding box of a curve. | |
void | CalculateLocalGabarit (const MbMatrix3D &, MbCube &) const override |
To compute bounding box in a local coordinate system. More... | |
void | GetCentre (MbCartPoint3D &wc) const override |
Give the curve center. | |
void | GetWeightCentre (MbCartPoint3D &wc) const override |
Give the gravity center of a curve. | |
double | Curvature (double t) const override |
Calculate curvature of curve. | |
bool | NearPointProjection (const MbCartPoint3D &, double &t, bool ext, MbRect1D *tRange=nullptr) const override |
Find the point projection to the curve. More... | |
double | Step (double t, double sag) const override |
Calculate parameter step. More... | |
double | DeviationStep (double t, double angle) const override |
Calculate parameter step. More... | |
double | MetricStep (double t, double length) const override |
Calculate parameter step. More... | |
MbCurve * | GetMap (const MbMatrix3D &, MbRect1D *pRgn=nullptr, VERSION version=Math::DefaultMathVersion(), bool *coincParams=nullptr) const override |
Construct a planar projection of a piece of a space curve. More... | |
MbCurve * | GetMapPsp (const MbMatrix3D &, double zNear, MbRect1D *pRgn=nullptr) const override |
Construct a planar projection of a piece of a space curve. More... | |
bool | IsStraight (bool ignoreParams=false) const override |
Whether the line is straight? | |
size_t | GetCount () const override |
Define the number of splittings for one passage in operations. | |
bool | IsPlanar (double accuracy=METRIC_EPSILON) const override |
Is a curve planar? | |
bool | DistanceAlong (double &t, double len, int curveDir, double eps=Math::metricPrecision, VERSION version=Math::DefaultMathVersion()) const override |
Translate parameter along the curve. More... | |
void | CalculatePolygon (const MbStepData &stepData, MbPolygon3D &polygon) const override |
Calculate an array of points for drawing. More... | |
void | GetPointsByEvenLengthDelta (size_t n, std::vector< MbCartPoint3D > &pnts) const override |
Get n points of a curve with equal intervals by arc length. | |
bool | IsSimilarToCurve (const MbCurve3D &curve, double precision=METRIC_PRECISION) const override |
Whether the curves to union (joining) are similar. | |
bool | GetSurfaceCurve (MbCurve *&curve, MbSurface *&surface, VERSION version) const override |
Get surface curve if the space curve is surface (after the using call DeleteItem for arguments) | |
MbResultType | Extend (const MbCurveExtensionParameters3D ¶meters, c3d::SpaceCurveSPtr &resCurve) const override |
Extend the curve. More... | |
bool | IsShift (const MbSpaceItem &, MbVector3D &, bool &isSame, double accuracy=LENGTH_EPSILON) const override |
Whether the object is a shift. | |
virtual MbCurve3D * | Trimmed (double t1, double t2, int sense, bool saveParamLenAndLaw=false) const |
Construct a trimmed curve. More... | |
virtual MbCurve3D * | Trimmed (double t1, double t2, int sense, const MbDimAccuracy &xyzEps, bool saveParamLenAndLaw) const |
Construct a trimmed curve with the given two-dimensional accuracy. More... | |
Public Member Functions inherited from MbCurve3D | |
virtual | ~MbCurve3D () |
Destructor. | |
virtual void | Accept (Visitor &visitor) |
Implementation of a function initializing a visit of an object. | |
size_t | size () const |
Size of curve interpreted as vector of curves. | |
const MbCurve3D * | operator[] (size_t) const |
An access operator. | |
MbeSpaceType | Type () const override |
Get the group object type. | |
MbeSpaceType | Family () const override |
Get family of objects. | |
virtual MbCurve3D & | InverseDuplicate () const |
Create a copy with changed direction. | |
double | DistanceToPoint (const MbCartPoint3D &) const override |
Determine the distance to the point. More... | |
void | AddYourGabaritTo (MbCube &) const override |
Expand sent bounding box (a.k.a. gabarit), so that it included the object. More... | |
void | Refresh () override |
Translate all the time (mutable) data objects in an inconsistent (initial) state. | |
virtual void | PrepareIntegralData (const bool forced) const |
Calculate temporary (mutable) data of an object. More... | |
virtual bool | IsSpaceSame (const MbSpaceItem &item, double eps=METRIC_REGION) const |
Are the objects identical in space? | |
virtual double | GetPeriod () const |
Return period. If a curve is not periodic then 0. | |
virtual bool | IsPeriodic () const |
Define whether the curve is periodic. More... | |
bool | IsTouch (double eps=Math::metricPrecision) const |
Determine whether a curve is closed regardless of the smoothness of the closure. More... | |
virtual void | Tangent (double &t, MbVector3D &) const |
Calculate tangent vector (normalized). | |
virtual void | Normal (double &t, MbVector3D &) const |
Calculate main normal vector. | |
virtual void | BNormal (double &t, MbVector3D &) const |
Calculate binormal vector. | |
virtual void | _Tangent (double t, MbVector3D &) const |
Calculate tangent vector (normalized) at curve and its extension. | |
virtual void | _Normal (double t, MbVector3D &) const |
Calculate main normal vector (normalized) at curve and its extension. | |
virtual void | _BNormal (double t, MbVector3D &) const |
Calculate binormal vector (normalized) at curve and its extension. | |
virtual void | FastApproxExplore (double &t, MbCartPoint3D &pnt, MbVector3D &fir, MbVector3D *sec) const |
Calculate point and derivatives on the curve. More... | |
double | CurveStep (const double &t, const MbStepData &stepData) const |
Calculate parameter step. More... | |
virtual void | ResetTCalc () const |
Reset the current value of parameter. | |
virtual const MbCurve3D & | GetBasisCurve () const |
Returns the base curve if exists or itself. | |
virtual MbCurve3D & | SetBasisCurve () |
Returns the base curve if exists or itself. | |
virtual void | ThirdMetricDer (double t, MbVector3D &vect) const |
Calculate second derivative of tangent. | |
MbNurbs3D * | NurbsCurve (const MbCurveIntoNurbsInfo *nInfo=nullptr) const |
Construct a NURBS copy of a curve. More... | |
virtual size_t | NurbsCurveMinPoints (const MbNurbsParameters &tParameters, double epsilon=c3d::METRIC_DELTA) const |
Define the number of knots of a NURBS curve which is required to approximate the curve with the given tolerance. More... | |
virtual MbCurve3D * | Trimmed (double t1, double t2, int sense, bool saveParamLenAndLaw=false) const |
Construct a trimmed curve. More... | |
double | GetParamLength () const |
Return the parametric length of a curve. | |
virtual double | GetMetricLength () const |
Calculate the metric length of a curve. | |
void | CalculateLocalGabarit (const MbMatrix3D &into, MbCube &cube) const override |
To compute bounding box in a local coordinate system. More... | |
virtual bool | IsDegenerate (double eps=METRIC_PRECISION) const |
Check whether the curve is degenerated.calculate. | |
virtual bool | IsSmoothConnected (double angleEps) const |
Are joints of contour/curve smooth? | |
virtual void | ChangeCarrier (const MbSpaceItem &item, MbSpaceItem &init) |
Change the carrier. For surface curves. | |
virtual bool | ChangeCarrierBorne (const MbSpaceItem &item, MbSpaceItem &init, const MbMatrix &matr) |
Change the carrier. More... | |
MbProperty & | CreateProperty (MbePrompt name) const override |
Create your own property with the name. | |
void | CalculateMesh (const MbStepData &stepData, const MbFormNote ¬e, MbMesh &mesh) const override |
Build polygonal copy mesh. More... | |
virtual MbeNewtonResult | PointProjectionNewton (const MbCartPoint3D &p, size_t iterLimit, double &t, bool ext) const |
Find the point projection to the curve. More... | |
virtual MbeNewtonResult | IsoclinalNewton (const MbVector3D &dir, size_t iterLimit, double &t) const |
Find isoclines of a curve. More... | |
virtual void | GetIsoclinal (const MbVector3D &nor, SArray< double > &tIso) const |
Find all isoclines of a curve. More... | |
virtual double | DistanceToCurve (const MbCurve3D &curve2, double &t1, double &t2) const |
Calculate the nearest distance to a curve. | |
virtual double | DistanceToPlace (const MbPlacement3D &place, double &t0, double &angle) const |
The nearest point of a curve by the placement. | |
virtual double | GetRadius (double accuracy=METRIC_REGION) const |
Get the physical radius of the curve or zero if it impossible. More... | |
virtual bool | GetCircleAxis (MbAxis3D &axis) const |
Get an axis of a circle which is geometrically coincident to the given curve. More... | |
virtual MbCurve * | GetProjection (const MbPlacement3D &place, VERSION version) const |
Construct a planar projection of a space curve to a plane. More... | |
void | GetPointsByEvenParamDelta (size_t n, std::vector< MbCartPoint3D > &pnts) const |
Get n points of a curve with equal intervals by parameter. | |
void | GetPointsByEvenParamDelta (size_t n, SArray< MbCartPoint3D > &pnts) const |
void | GetPointsByEvenLengthDelta (size_t n, SArray< MbCartPoint3D > &pnts) const |
void | GetBasisPoints (MbControlData3D &) const override |
Get control points of object. | |
void | SetBasisPoints (const MbControlData3D &) override |
Change the object by control points. | |
virtual bool | IsContinuousDerivative (bool &contLength, bool &contDirect, c3d::DoubleVector *params=nullptr, double epsilon=EPSILON) const |
Have the first derivative of the curve the continuous length and direction? More... | |
virtual bool | SetContinuousDerivativeLength (VERSION version, double epsilon=EPSILON) |
Eliminate the discontinuities of the first derivative at length. More... | |
bool | IsSpaceNear (const MbCurve3D &curve, double eps, bool ext, double devSag=5.0 *Math::deviateSag) const |
Check whether the two curves are metrically close. More... | |
bool | IsPointOn (const MbCartPoint3D &, double eps=METRIC_PRECISION) const |
Check whether a point is on a curve or not. | |
double | GetTMid () const |
Return the middle of parametric range of a curve. | |
double | GetTRange () const |
Return the parametric length of a curve. | |
MbCartPoint3D | PointOn (double &t) const |
Calculate point on the curve. | |
MbVector3D | FirstDer (double &t) const |
Calculate first derivative. | |
MbVector3D | SecondDer (double &t) const |
Calculate second derivative. | |
MbVector3D | ThirdDer (double &t) const |
Calculate third derivative. | |
virtual void | GetCurvatureSpecialPoints (std::vector< c3d::DoublePair > &points) const |
Find all the special points of the curvature function of the curve. More... | |
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. | |
MbCartPoint3D | GetLimitPoint (ptrdiff_t number) const |
Calculate the boundary point. More... | |
void | GetLimitPoint (ptrdiff_t number, MbCartPoint3D &pnt) const |
Calculate the boundary point. More... | |
MbVector3D | GetLimitTangent (ptrdiff_t number) const |
Calculate a tangent vector to the boundary point. More... | |
void | GetLimitTangent (ptrdiff_t number, MbVector3D &v) const |
Calculate a tangent vector to the boundary point. More... | |
bool | AreLimitPointsEqual () const |
Are boundary points equal? More... | |
bool | SetInParamRegion (double &t) const |
Move to the parametric region. | |
bool | IsParamOn (double t, double eps) const |
Check whether a parameter is in the range of the curve. | |
bool | IsInverseSame (const MbCurve3D &curve, double accuracy=LENGTH_EPSILON) const |
Whether an inversed curve is the same. | |
virtual bool | IsReparamSame (const MbCurve3D &curve, double &factor) const |
Define whether a reparameterized curve is the same. More... | |
virtual double | GetParamToUnit () const |
Get increment of parameter, corresponding to the unit length in space. | |
virtual double | GetParamToUnit (double t) const |
Get increment of parameter, corresponding to the unit length in space. | |
double | GetTEpsilon () const |
Get the minimum distinguishable value of parameter. | |
double | GetTEpsilon (double t) const |
Get the minimum distinguishable value of parameter. | |
double | GetTRegion () const |
Get the minimum distinguishable value of parameter. | |
double | GetTRegion (double t) const |
Get the minimum distinguishable value of parameter. | |
double | GetTRegion (double t, const MbDimAccuracy &xyzEps) const |
Get the minimum distinguishable value of parameter with the given three-dimensional accuracy according to parameter. | |
virtual const MbCurve3D & | GetSubstrate () const |
Get a substrate or itself. | |
virtual MbCurve3D & | SetSubstrate () |
Get a substrate or itself. | |
virtual int | SubstrateCurveDirection () const |
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 bool | GetPlaneCurve (MbCurve *&curve2d, MbPlacement3D &place, bool saveParams, PlanarCheckParams params=PlanarCheckParams()) const |
Get planar curve and placement if the space curve is planar. More... | |
bool | GetPlaneCurve (SPtr< MbCurve > &curve2d, MbPlacement3D &place, bool saveParams, PlanarCheckParams params=PlanarCheckParams()) const |
Get planar curve and placement if the space curve is planar. More... | |
bool | GetPlaneCurve (SPtr< const MbCurve > &curve2d, MbPlacement3D &place, bool saveParams, PlanarCheckParams params=PlanarCheckParams()) const |
Get planar curve and placement if the space curve is planar. More... | |
bool | GetSurfaceCurve (SPtr< MbCurve > &curve2d, SPtr< MbSurface > &surface, VERSION version=Math::DefaultMathVersion()) const |
Get surface curve if the space curve is surface (after the using call DeleteItem for arguments) | |
bool | GetSurfaceCurve (SPtr< const MbCurve > &curve2d, SPtr< const MbSurface > &surface, VERSION version=Math::DefaultMathVersion()) const |
Get surface curve if the space curve is surface (after the using call DeleteItem for arguments) | |
virtual bool | GetPlacement (MbPlacement3D &place, PlanarCheckParams params=PlanarCheckParams()) const |
Fill the placement if a curve is planar. | |
void | CalculateGrid (double radius, const MbStepData &stepData, MbMesh &mesh) const |
Approximation of a curve by the flat tube with the given radius. | |
SimpleName | GetCurveName () const |
A curve name. | |
void | SetCurveName (SimpleName newName) |
Set a curve name. | |
Public Member Functions inherited from MbSpaceItem | |
virtual | ~MbSpaceItem () |
Destructor. | |
void | PrepareWrite () const |
Register object. More... | |
MbeRefType | RefType () const override |
Get a registration type (for copying, duplication). | |
bool | IsFamilyRegistrable () const override |
Whether the object belongs to a registrable family. | |
virtual bool | IsSimilar (const MbSpaceItem &item) const |
Determine whether an object is similar. More... | |
void | CalculateWire (const MbStepData &stepData, MbMesh &mesh) const |
void | CalculateWire (double sag, MbMesh &mesh) const |
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. | |
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 MbCurve3D | |
MbCurve3D () | |
Default constructor. | |
MbCurve3D (const MbCurve3D &other) | |
Copy-constructor. | |
Protected Member Functions inherited from MbSpaceItem | |
MbSpaceItem () | |
Default constructor. | |
Protected Member Functions inherited from MbRefItem | |
MbRefItem () | |
Constructor without parameters. | |
Protected Attributes inherited from MbCurve3D | |
SimpleName | name |
A curve name. The object data is temporary and used internally. | |
Line segment in three-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 the curve in the method PointOn(double&t,MbCartPoint3D&r) is described by the vector function
r(t) = ((1 - t) point1) + (t point2).
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overridevirtual |
Create a copy of the object.
Create a copy of an object using the registrator. Registrator is used to prevent multiple copy of the object. If the object contains references to the other objects, then nested objects are copied as well. It is allowed not to pass registrator into the function. Then new copy of object will be created. While copying of single object or set of not connected objects, it is allowed not to use registrator. Registrator should be used if it is required to copy several connected objects. It is possible, that objects connection is based on the references to common objects. Then, while copying without using of registrator, it is possible to obtain set of copies, that contain references to the different copies of the same nested object, that leads to loss of connection between copies.
[in] | iReg | - Registrator. |
Implements MbSpaceItem.
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overridevirtual |
Determine whether an object is equal.
Still considered objects of the same type, all data is the same (equal).
[in] | item | - The object to compare. |
[in] | accuracy | - The accuracy to compare. |
Implements MbSpaceItem.
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overridevirtual |
Make objects equal if they are similar.
You can still make only a similar objects.
[in] | item | - The object to initialize. |
Implements MbSpaceItem.
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overridevirtual |
Convert the object according to the matrix.
Convert the original object according to the matrix using the registrator. If object contains references to the other geometric objects, then nested objects are transformed according to the matrix. Registrator is needed to prevent multiple object copying. It is allowed to use function without registrator, if it is needed to transform single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be transformed.
[in] | matr | - Transformation matrix. |
[in] | iReg | - Registrator. |
Implements MbSpaceItem.
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overridevirtual |
Move an object along a vector.
Move an object along a geometric vector using the registrator. If object contains references to the other geometric objects then the move operation is applied to the nested objects. Registrator is needed to prevent multiple copying of the object. It is allowed to use function without registrator, if it is needed to transform a single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be moved.
[in] | to | - Shift vector. |
[in] | iReg | - Registrator. |
Implements MbSpaceItem.
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overridevirtual |
Rotate an object around an axis at a given angle.
Rotate an object around an axis at a given angle with the registrator. If object contains references to the other geometric objects then the rotation operation is applied to the nested objects. Registrator is needed to prevent multiple copying of the object. It is allowed to use function without registrator, if it is needed to transform a single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be rotated.
[in] | axis | - The axis of rotation. |
[in] | angle | - Rotation. |
[in] | iReg | - Registrator. |
Implements MbSpaceItem.
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overridevirtual |
Outstanding properties of the object.
Issue internal data (properties) of the object for viewing and modification.
[in] | properties | - Container for the internal data of the object. |
Implements MbSpaceItem.
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overridevirtual |
Change the properties of an object.
Changing the internal data (properties) of the object you are copying the corresponding values from the sent object.
[in] | properties | - Container for the internal data of the object. |
Implements MbSpaceItem.
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overridevirtual |
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 MbCurve3D.
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overridevirtual |
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 MbCurve3D.
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overridevirtual |
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 MbCurve3D.
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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 MbCurve3D.
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overridevirtual |
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] | 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. |
Reimplemented from MbCurve3D.
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overridevirtual |
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 MbCurve3D.
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overridevirtual |
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 or periodic curve 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] | xyzEps | - Three-dimensional accuracy. |
[in] | saveParLenAndLaw | - Save parametric length and law. |
Reimplemented from MbCurve3D.
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overridevirtual |
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 MbCurve3D.
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overridevirtual |
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 MbCurve3D.
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overridevirtual |
To compute bounding box in a local coordinate system.
To obtain bounding box of object with regar to a local coordinate system, sent box is made to be empty. Then it is computed bounding box of object in a local coordinate system \ and it is stored in box 'cube'
[in] | into | - Transformation matrix from object's current coordinate system to a local coordinate system |
[in,out] | cube | - Information on bounding box |
Implements MbSpaceItem.
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overridevirtual |
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,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 MbCurve3D.
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overridevirtual |
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 from its polygon does not exceed the given value of sag.
[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 MbCurve3D.
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overridevirtual |
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 MbCurve3D.
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overridevirtual |
Calculate parameter step.
Calculate the parameter step for approximation of a curve by the given metric length of a step along a curve.
[in] | t | - A parameter defining the point on a curve, at which a step should be calculated. |
[in] | len | - Maximum metric length of a step along a curve. |
Reimplemented from MbCurve3D.
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overridevirtual |
Construct a planar projection of a piece of a space curve.
Construct a planar projection of a piece of a space curve.
[in] | into | - The transformation matrix from the global coordinate system into a plane of view. |
[in] | pRegion | - A mapped piece of a curve (paramRegion.x = t1, paramRegion.y = t2), by default - the whole curve.. |
[in] | version | - Version, last by default. |
[in,out] | coincParams | - A flag of coincidence between parameterization of initial curve and its projection if coincParams != nullptr then the function tries to create a projection with coincident parameterization if *coincParams = true then parameterization of projection coincides with parameterization of initial curve. |
Reimplemented from MbCurve3D.
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overridevirtual |
Construct a planar projection of a piece of a space curve.
Construct a planar projection of a piece of a space curve for the perspective visualization.
[in] | into | - The transformation matrix from the global coordinate system into a plane of view. |
[in] | zNear | - The parameter of the perspective visualization which is equal to the distance between the observation point and the plane of view (negative). |
[in] | pRegion | - A mapped piece of a curve (paramRegion.x = t1, paramRegion.y = t2), by default - the whole curve.. |
Reimplemented from MbCurve3D.
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overridevirtual |
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. |
Reimplemented from MbCurve3D.
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overridevirtual |
Calculate an array of points for drawing.
Get an array of drawn points with a given sag. If the cure is a contour then knots of a contour are duplicated.
[in] | stepData | - Data for step calculation. |
[in,out] | polygon | - A polygon of calculated points on a curve. |
Reimplemented from MbCurve3D.
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overridevirtual |
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 MbCurve3D.
virtual MbCurve3D* MbCurve3D::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 or periodic curve 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 MbCurve3D* MbCurve3D::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 or periodic curve 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] | xyzEps | - Three-dimensional accuracy. |
[in] | saveParLenAndLaw | - Save parametric length and law. |