#include <Geom2d_BSplineCurve.hxx>
Inheritance diagram for Geom2d_BSplineCurve:
Public Member Functions | |
Standard_EXPORT | Geom2d_BSplineCurve (const TColgp_Array1OfPnt2d &Poles, const TColStd_Array1OfReal &Knots, const TColStd_Array1OfInteger &Multiplicities, const Standard_Integer Degree, const Standard_Boolean Periodic=Standard_False) |
Creates a non-rational B_spline curve on the basis <Knots, Multiplicities> of degree <degree>. The following conditions must be verified. 0 < Degree <= MaxDegree. Knots.Length() == Mults.Length() >= 2 Knots(i) < Knots(i+1) (Knots are increasing) 1 <= Mults(i) <= Degree On a non periodic curve the first and last multiplicities may be Degree+1 (this is even recommanded if you want the curve to start and finish on the first and last pole). On a periodic curve the first and the last multicities must be the same. on non-periodic curves Poles.Length() == Sum(Mults(i)) - Degree - 1 >= 2 on periodic curves Poles.Length() == Sum(Mults(i)) except the first or last . | |
Standard_EXPORT | Geom2d_BSplineCurve (const TColgp_Array1OfPnt2d &Poles, const TColStd_Array1OfReal &Weights, const TColStd_Array1OfReal &Knots, const TColStd_Array1OfInteger &Multiplicities, const Standard_Integer Degree, const Standard_Boolean Periodic=Standard_False) |
Creates a rational B_spline curve on the basis <Knots, Multiplicities> of degree <degree>. The following conditions must be verified. 0 < Degree <= MaxDegree. Knots.Length() == Mults.Length() >= 2 Knots(i) < Knots(i+1) (Knots are increasing) 1 <= Mults(i) <= Degree On a non periodic curve the first and last multiplicities may be Degree+1 (this is even recommanded if you want the curve to start and finish on the first and last pole). On a periodic curve the first and the last multicities must be the same. on non-periodic curves Poles.Length() == Sum(Mults(i)) - Degree - 1 >= 2 on periodic curves Poles.Length() == Sum(Mults(i)) except the first or last . | |
Standard_EXPORT void | IncreaseDegree (const Standard_Integer Degree) |
Increases the degree of this BSpline curve to Degree. As a result, the poles, weights and multiplicities tables are modified; the knots table is not changed. Nothing is done if Degree is less than or equal to the current degree. Exceptions Standard_ConstructionError if Degree is greater than Geom2d_BSplineCurve::MaxDegree(). . | |
Standard_EXPORT void | IncreaseMultiplicity (const Standard_Integer Index, const Standard_Integer M) |
Increases the multiplicity of the knot <index> to <m>. If <m> is lower or equal to the current multiplicity nothing is done. If <m> is higher than the degree the degree is used. //! If <index> is not in [FirstUKnotIndex, LastUKnotIndex] . | |
Standard_EXPORT void | IncreaseMultiplicity (const Standard_Integer I1, const Standard_Integer I2, const Standard_Integer M) |
Increases the multiplicities of the knots in [I1,I2] to <m>. For each knot if <m> is lower or equal to the current multiplicity nothing is done. If <m> is higher than the degree the degree is used. As a result, the poles and weights tables of this curve are modified. Warning It is forbidden to modify the multiplicity of the first or last knot of a non-periodic curve. Be careful as Geom2d does not protect against this. Exceptions Standard_OutOfRange if either Index, I1 or I2 is outside the bounds of the knots table. . | |
Standard_EXPORT void | IncrementMultiplicity (const Standard_Integer I1, const Standard_Integer I2, const Standard_Integer M) |
Increases by M the multiplicity of the knots of indexes I1 to I2 in the knots table of this BSpline curve. For each knot, the resulting multiplicity is limited to the degree of this curve. If M is negative, nothing is done. As a result, the poles and weights tables of this BSpline curve are modified. Warning It is forbidden to modify the multiplicity of the first or last knot of a non-periodic curve. Be careful as Geom2d does not protect against this. Exceptions Standard_OutOfRange if I1 or I2 is outside the bounds of the knots table. . | |
Standard_EXPORT void | InsertKnot (const Standard_Real U, const Standard_Integer M=1, const Standard_Real ParametricTolerance=0.0) |
Inserts a knot value in the sequence of knots. If <u> is an existing knot the multiplicity is increased by <m>. If U is not on the parameter range nothing is done. If the multiplicity is negative or null nothing is done. The new multiplicity is limited to the degree. The tolerance criterion for knots equality is the max of Epsilon(U) and ParametricTolerance. Warning - If U is less than the first parameter or greater than the last parameter of this BSpline curve, nothing is done. - If M is negative or null, nothing is done. - The multiplicity of a knot is limited to the degree of this BSpline curve. . | |
Standard_EXPORT void | InsertKnots (const TColStd_Array1OfReal &Knots, const TColStd_Array1OfInteger &Mults, const Standard_Real ParametricTolerance=0.0, const Standard_Boolean Add=Standard_False) |
Inserts the values of the array Knots, with the respective multiplicities given by the array Mults, into the knots table of this BSpline curve. If a value of the array Knots is an existing knot, its multiplicity is: - increased by M, if Add is true, or - increased to M, if Add is false (default value). The tolerance criterion used for knot equality is the larger of the values ParametricTolerance (defaulted to 0.) and Standard_Real::Epsilon(U), where U is the current knot value. Warning - For a value of the array Knots which is less than the first parameter or greater than the last parameter of this BSpline curve, nothing is done. - For a value of the array Mults which is negative or null, nothing is done. - The multiplicity of a knot is limited to the degree of this BSpline curve. . | |
Standard_EXPORT Standard_Boolean | RemoveKnot (const Standard_Integer Index, const Standard_Integer M, const Standard_Real Tolerance) |
Reduces the multiplicity of the knot of index Index to M. If M is equal to 0, the knot is removed. With a modification of this type, the array of poles is also modified. Two different algorithms are systematically used to compute the new poles of the curve. If, for each pole, the distance between the pole calculated using the first algorithm and the same pole calculated using the second algorithm, is less than Tolerance, this ensures that the curve is not modified by more than Tolerance. Under these conditions, true is returned; otherwise, false is returned. A low tolerance is used to prevent modification of the curve. A high tolerance is used to "smooth" the curve. Exceptions Standard_OutOfRange if Index is outside the bounds of the knots table. . | |
Standard_EXPORT void | InsertPoleAfter (const Standard_Integer Index, const gp_Pnt2d &P, const Standard_Real Weight=1.0) |
The new pole is inserted after the pole of range Index. If the curve was non rational it can become rational. Raised if the B-spline is NonUniform or PiecewiseBezier or if Weight <= 0.0 //! Raised if Index is not in the range [1, Number of Poles] . | |
Standard_EXPORT void | InsertPoleBefore (const Standard_Integer Index, const gp_Pnt2d &P, const Standard_Real Weight=1.0) |
The new pole is inserted before the pole of range Index. If the curve was non rational it can become rational. Raised if the B-spline is NonUniform or PiecewiseBezier or if Weight <= 0.0 //! Raised if Index is not in the range [1, Number of Poles] . | |
Standard_EXPORT void | RemovePole (const Standard_Integer Index) |
Removes the pole of range Index If the curve was rational it can become non rational. Raised if the B-spline is NonUniform or PiecewiseBezier. Raised if the number of poles of the B-spline curve is lower or equal to 2 before removing. //! Raised if Index is not in the range [1, Number of Poles] . | |
Standard_EXPORT void | Reverse () |
Reverses the orientation of this BSpline curve. As a result - the knots and poles tables are modified; - the start point of the initial curve becomes the end point of the reversed curve; - the end point of the initial curve becomes the start point of the reversed curve. . | |
Standard_EXPORT Standard_Real | ReversedParameter (const Standard_Real U) const |
Computes the parameter on the reversed curve for the point of parameter U on this BSpline curve. The returned value is: UFirst + ULast - U, where UFirst and ULast are the values of the first and last parameters of this BSpline curve. . | |
Standard_EXPORT void | Segment (const Standard_Real U1, const Standard_Real U2) |
Modifies this BSpline curve by segmenting it between U1 and U2. Either of these values can be outside the bounds of the curve, but U2 must be greater than U1. All data structure tables of this BSpline curve are modified, but the knots located between U1 and U2 are retained. The degree of the curve is not modified. Warnings : Even if <me> is not closed it can become closed after the segmentation for example if U1 or U2 are out of the bounds of the curve <me> or if the curve makes loop. After the segmentation the length of a curve can be null. - The segmentation of a periodic curve over an interval corresponding to its period generates a non-periodic curve with equivalent geometry. Exceptions Standard_DomainError if U2 is less than U1. //! raises if U2 < U1. . | |
Standard_EXPORT void | SetKnot (const Standard_Integer Index, const Standard_Real K) |
Modifies this BSpline curve by assigning the value K to the knot of index Index in the knots table. This is a relatively local modification because K must be such that: Knots(Index - 1) < K < Knots(Index + 1) Exceptions Standard_ConstructionError if: - K is not such that: Knots(Index - 1) < K < Knots(Index + 1) - M is greater than the degree of this BSpline curve or lower than the previous multiplicity of knot of index Index in the knots table. Standard_OutOfRange if Index is outside the bounds of the knots table. . | |
Standard_EXPORT void | SetKnots (const TColStd_Array1OfReal &K) |
Modifies this BSpline curve by assigning the array K to its knots table. The multiplicity of the knots is not modified. Exceptions Standard_ConstructionError if the values in the array K are not in ascending order. Standard_OutOfRange if the bounds of the array K are not respectively 1 and the number of knots of this BSpline curve. . | |
Standard_EXPORT void | SetKnot (const Standard_Integer Index, const Standard_Real K, const Standard_Integer M) |
Modifies this BSpline curve by assigning the value K to the knot of index Index in the knots table. This is a relatively local modification because K must be such that: Knots(Index - 1) < K < Knots(Index + 1) The second syntax allows you also to increase the multiplicity of the knot to M (but it is not possible to decrease the multiplicity of the knot with this function). Exceptions Standard_ConstructionError if: - K is not such that: Knots(Index - 1) < K < Knots(Index + 1) - M is greater than the degree of this BSpline curve or lower than the previous multiplicity of knot of index Index in the knots table. Standard_OutOfRange if Index is outside the bounds of the knots table. . | |
Standard_EXPORT void | PeriodicNormalization (Standard_Real &U) const |
Computes the parameter normalized within the "first" period of this BSpline curve, if it is periodic: the returned value is in the range Param1 and Param1 + Period, where: - Param1 is the "first parameter", and - Period the period of this BSpline curve. Note: If this curve is not periodic, U is not modified. . | |
Standard_EXPORT void | SetPeriodic () |
Changes this BSpline curve into a periodic curve. To become periodic, the curve must first be closed. Next, the knot sequence must be periodic. For this, FirstUKnotIndex and LastUKnotIndex are used to compute I1 and I2, the indexes in the knots array of the knots corresponding to the first and last parameters of this BSpline curve. The period is therefore Knot(I2) - Knot(I1). Consequently, the knots and poles tables are modified. Exceptions Standard_ConstructionError if this BSpline curve is not closed. . | |
Standard_EXPORT void | SetOrigin (const Standard_Integer Index) |
Assigns the knot of index Index in the knots table as the origin of this periodic BSpline curve. As a consequence, the knots and poles tables are modified. Exceptions Standard_NoSuchObject if this curve is not periodic. Standard_DomainError if Index is outside the bounds of the knots table. . | |
Standard_EXPORT void | SetNotPeriodic () |
Changes this BSpline curve into a non-periodic curve. If this curve is already non-periodic, it is not modified. Note that the poles and knots tables are modified. Warning If this curve is periodic, as the multiplicity of the first and last knots is not modified, and is not equal to Degree + 1, where Degree is the degree of this BSpline curve, the start and end points of the curve are not its first and last poles. . | |
Standard_EXPORT void | SetPole (const Standard_Integer Index, const gp_Pnt2d &P) |
Modifies this BSpline curve by assigning P to the pole of index Index in the poles table. Exceptions Standard_OutOfRange if Index is outside the bounds of the poles table. Standard_ConstructionError if Weight is negative or null. . | |
Standard_EXPORT void | SetPole (const Standard_Integer Index, const gp_Pnt2d &P, const Standard_Real Weight) |
Modifies this BSpline curve by assigning P to the pole of index Index in the poles table. The second syntax also allows you to modify the weight of the modified pole, which becomes Weight. In this case, if this BSpline curve is non-rational, it can become rational and vice versa. Exceptions Standard_OutOfRange if Index is outside the bounds of the poles table. Standard_ConstructionError if Weight is negative or null. . | |
Standard_EXPORT void | SetWeight (const Standard_Integer Index, const Standard_Real Weight) |
Assigns the weight Weight to the pole of index Index of the poles table. If the curve was non rational it can become rational. If the curve was rational it can become non rational. Exceptions Standard_OutOfRange if Index is outside the bounds of the poles table. Standard_ConstructionError if Weight is negative or null. . | |
Standard_EXPORT void | MovePoint (const Standard_Real U, const gp_Pnt2d &P, const Standard_Integer Index1, const Standard_Integer Index2, Standard_Integer &FirstModifiedPole, Standard_Integer &LastModifiedPole) |
Moves the point of parameter U of this BSpline curve to P. Index1 and Index2 are the indexes in the table of poles of this BSpline curve of the first and last poles designated to be moved. FirstModifiedPole and LastModifiedPole are the indexes of the first and last poles, which are effectively modified. In the event of incompatibility between Index1, Index2 and the value U: - no change is made to this BSpline curve, and - the FirstModifiedPole and LastModifiedPole are returned null. Exceptions Standard_OutOfRange if: - Index1 is greater than or equal to Index2, or - Index1 or Index2 is less than 1 or greater than the number of poles of this BSpline curve. . | |
Standard_EXPORT void | MovePointAndTangent (const Standard_Real U, const gp_Pnt2d &P, const gp_Vec2d &Tangent, const Standard_Real Tolerance, const Standard_Integer StartingCondition, const Standard_Integer EndingCondition, Standard_Integer &ErrorStatus) |
Move a point with parameter U to P. and makes it tangent at U be Tangent. StartingCondition = -1 means first can move EndingCondition = -1 means last point can move StartingCondition = 0 means the first point cannot move EndingCondition = 0 means the last point cannot move StartingCondition = 1 means the first point and tangent cannot move EndingCondition = 1 means the last point and tangent cannot move and so forth ErrorStatus != 0 means that there are not enought degree of freedom with the constrain to deform the curve accordingly . | |
Standard_EXPORT Standard_Boolean | IsCN (const Standard_Integer N) const |
Returns true if the degree of continuity of this BSpline curve is at least N. A BSpline curve is at least GeomAbs_C0. Exceptions Standard_RangeError if N is negative. . | |
Standard_EXPORT Standard_Boolean | IsClosed () const |
Returns true if the distance between the first point and the last point of the curve is lower or equal to Resolution from package gp. Warnings : The first and the last point can be different from the first pole and the last pole of the curve. . | |
Standard_EXPORT Standard_Boolean | IsPeriodic () const |
Returns True if the curve is periodic. . | |
Standard_EXPORT Standard_Boolean | IsRational () const |
Returns True if the weights are not identical. The tolerance criterion is Epsilon of the class Real. . | |
Standard_EXPORT GeomAbs_Shape | Continuity () const |
Returns the global continuity of the curve : C0 : only geometric continuity, C1 : continuity of the first derivative all along the Curve, C2 : continuity of the second derivative all along the Curve, C3 : continuity of the third derivative all along the Curve, CN : the order of continuity is infinite. For a B-spline curve of degree d if a knot Ui has a multiplicity p the B-spline curve is only Cd-p continuous at Ui. So the global continuity of the curve can't be greater than Cd-p where p is the maximum multiplicity of the interior Knots. In the interior of a knot span the curve is infinitely continuously differentiable. . | |
Standard_EXPORT Standard_Integer | Degree () const |
Returns the degree of this BSpline curve. In this class the degree of the basis normalized B-spline functions cannot be greater than "MaxDegree" //! Computation of value and derivatives . | |
Standard_EXPORT void | D0 (const Standard_Real U, gp_Pnt2d &P) const |
Returns in P the point of parameter U. If the curve is periodic then the returned point is P(U) with U = Ustart + (U - Uend) where Ustart and Uend are the parametric bounds of the curve. Raised only for the "OffsetCurve" if it is not possible to compute the current point. For example when the first derivative on the basis curve and the offset direction are parallel. . | |
Standard_EXPORT void | D1 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1) const |
Raised if the continuity of the curve is not C1. . | |
Standard_EXPORT void | D2 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2) const |
Raised if the continuity of the curve is not C2. . | |
Standard_EXPORT void | D3 (const Standard_Real U, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2, gp_Vec2d &V3) const |
For this BSpline curve, computes - the point P of parameter U, or - the point P and one or more of the following values: - V1, the first derivative vector, - V2, the second derivative vector, - V3, the third derivative vector. Warning On a point where the continuity of the curve is not the one requested, these functions impact the part defined by the parameter with a value greater than U, i.e. the part of the curve to the "right" of the singularity. Raises UndefinedDerivative if the continuity of the curve is not C3. . | |
Standard_EXPORT gp_Vec2d | DN (const Standard_Real U, const Standard_Integer N) const |
For the point of parameter U of this BSpline curve, computes the vector corresponding to the Nth derivative. Warning On a point where the continuity of the curve is not the one requested, this function impacts the part defined by the parameter with a value greater than U, i.e. the part of the curve to the "right" of the singularity. Raises UndefinedDerivative if the continuity of the curve is not CN. RangeError if N < 1. //! The following functions computes the point of parameter U and the derivatives at this point on the B-spline curve arc defined between the knot FromK1 and the knot ToK2. U can be out of bounds [Knot (FromK1), Knot (ToK2)] but for the computation we only use the definition of the curve between these two knots. This method is useful to compute local derivative, if the order of continuity of the whole curve is not greater enough. Inside the parametric domain Knot (FromK1), Knot (ToK2) the evaluations are the same as if we consider the whole definition of the curve. Of course the evaluations are different outside this parametric domain. . | |
Standard_EXPORT gp_Pnt2d | LocalValue (const Standard_Real U, const Standard_Integer FromK1, const Standard_Integer ToK2) const |
Raised if FromK1 = ToK2. Raised if FromK1 and ToK2 are not in the range [FirstUKnotIndex, LastUKnotIndex]. . | |
Standard_EXPORT void | LocalD0 (const Standard_Real U, const Standard_Integer FromK1, const Standard_Integer ToK2, gp_Pnt2d &P) const |
Standard_EXPORT void | LocalD1 (const Standard_Real U, const Standard_Integer FromK1, const Standard_Integer ToK2, gp_Pnt2d &P, gp_Vec2d &V1) const |
Raised if the local continuity of the curve is not C1 between the knot K1 and the knot K2. //! Raised if FromK1 = ToK2. Raised if FromK1 and ToK2 are not in the range [FirstUKnotIndex, LastUKnotIndex]. . | |
Standard_EXPORT void | LocalD2 (const Standard_Real U, const Standard_Integer FromK1, const Standard_Integer ToK2, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2) const |
Raised if the local continuity of the curve is not C2 between the knot K1 and the knot K2. //! Raised if FromK1 = ToK2. Raised if FromK1 and ToK2 are not in the range [FirstUKnotIndex, LastUKnotIndex]. . | |
Standard_EXPORT void | LocalD3 (const Standard_Real U, const Standard_Integer FromK1, const Standard_Integer ToK2, gp_Pnt2d &P, gp_Vec2d &V1, gp_Vec2d &V2, gp_Vec2d &V3) const |
Raised if the local continuity of the curve is not C3 between the knot K1 and the knot K2. //! Raised if FromK1 = ToK2. Raised if FromK1 and ToK2 are not in the range [FirstUKnotIndex, LastUKnotIndex]. . | |
Standard_EXPORT gp_Vec2d | LocalDN (const Standard_Real U, const Standard_Integer FromK1, const Standard_Integer ToK2, const Standard_Integer N) const |
Raised if the local continuity of the curve is not CN between the knot K1 and the knot K2. //! Raised if FromK1 = ToK2. //! Raised if N < 1. Raises if FromK1 and ToK2 are not in the range [FirstUKnotIndex, LastUKnotIndex]. . | |
Standard_EXPORT gp_Pnt2d | EndPoint () const |
Returns the last point of the curve. Warnings : The last point of the curve is different from the last pole of the curve if the multiplicity of the last knot is lower than Degree. . | |
Standard_EXPORT Standard_Integer | FirstUKnotIndex () const |
For a B-spline curve the first parameter (which gives the start point of the curve) is a knot value but if the multiplicity of the first knot index is lower than Degree + 1 it is not the first knot of the curve. This method computes the index of the knot corresponding to the first parameter. . | |
Standard_EXPORT Standard_Real | FirstParameter () const |
Computes the parametric value of the start point of the curve. It is a knot value. . | |
Standard_EXPORT Standard_Real | Knot (const Standard_Integer Index) const |
Returns the knot of range Index. When there is a knot with a multiplicity greater than 1 the knot is not repeated. The method Multiplicity can be used to get the multiplicity of the Knot. //! Raised if Index < 1 or Index > NbKnots . | |
Standard_EXPORT void | Knots (TColStd_Array1OfReal &K) const |
returns the knot values of the B-spline curve; Raised if the length of K is not equal to the number of knots. | |
Standard_EXPORT void | KnotSequence (TColStd_Array1OfReal &K) const |
Returns the knots sequence. In this sequence the knots with a multiplicity greater than 1 are repeated. Example : K = {k1, k1, k1, k2, k3, k3, k4, k4, k4} Raised if the length of K is not equal to NbPoles + Degree + 1 . | |
Standard_EXPORT GeomAbs_BSplKnotDistribution | KnotDistribution () const |
Returns NonUniform or Uniform or QuasiUniform or PiecewiseBezier. If all the knots differ by a positive constant from the preceding knot the BSpline Curve can be : - Uniform if all the knots are of multiplicity 1, - QuasiUniform if all the knots are of multiplicity 1 except for the first and last knot which are of multiplicity Degree + 1, - PiecewiseBezier if the first and last knots have multiplicity Degree + 1 and if interior knots have multiplicity Degree A piecewise Bezier with only two knots is a BezierCurve. else the curve is non uniform. The tolerance criterion is Epsilon from class Real. . | |
Standard_EXPORT Standard_Integer | LastUKnotIndex () const |
For a BSpline curve the last parameter (which gives the end point of the curve) is a knot value but if the multiplicity of the last knot index is lower than Degree + 1 it is not the last knot of the curve. This method computes the index of the knot corresponding to the last parameter. . | |
Standard_EXPORT Standard_Real | LastParameter () const |
Computes the parametric value of the end point of the curve. It is a knot value. . | |
Standard_EXPORT void | LocateU (const Standard_Real U, const Standard_Real ParametricTolerance, Standard_Integer &I1, Standard_Integer &I2, const Standard_Boolean WithKnotRepetition=Standard_False) const |
Locates the parametric value U in the sequence of knots. If "WithKnotRepetition" is True we consider the knot's representation with repetition of multiple knot value, otherwise we consider the knot's representation with no repetition of multiple knot values. Knots (I1) <= U <= Knots (I2) . if I1 = I2 U is a knot value (the tolerance criterion ParametricTolerance is used). . if I1 < 1 => U < Knots (1) - Abs(ParametricTolerance) . if I2 > NbKnots => U > Knots (NbKnots) + Abs(ParametricTolerance) . | |
Standard_EXPORT Standard_Integer | Multiplicity (const Standard_Integer Index) const |
Returns the multiplicity of the knots of range Index. //! Raised if Index < 1 or Index > NbKnots . | |
Standard_EXPORT void | Multiplicities (TColStd_Array1OfInteger &M) const |
Returns the multiplicity of the knots of the curve. Raised if the length of M is not equal to NbKnots. . | |
Standard_EXPORT Standard_Integer | NbKnots () const |
Returns the number of knots. This method returns the number of knot without repetition of multiple knots. . | |
Standard_EXPORT Standard_Integer | NbPoles () const |
Returns the number of poles . | |
Standard_EXPORT gp_Pnt2d | Pole (const Standard_Integer Index) const |
Returns the pole of range Index. //! Raised if Index < 1 or Index > NbPoles. . | |
Standard_EXPORT void | Poles (TColgp_Array1OfPnt2d &P) const |
Returns the poles of the B-spline curve; Raised if the length of P is not equal to the number of poles. . | |
Standard_EXPORT gp_Pnt2d | StartPoint () const |
Returns the start point of the curve. Warnings : This point is different from the first pole of the curve if the multiplicity of the first knot is lower than Degree. . | |
Standard_EXPORT Standard_Real | Weight (const Standard_Integer Index) const |
Returns the weight of the pole of range Index . //! Raised if Index < 1 or Index > NbPoles. . | |
Standard_EXPORT void | Weights (TColStd_Array1OfReal &W) const |
Returns the weights of the B-spline curve; Raised if the length of W is not equal to NbPoles. . | |
Standard_EXPORT void | Transform (const gp_Trsf2d &T) |
Applies the transformation T to this BSpline curve. . | |
Standard_EXPORT void | Resolution (const Standard_Real ToleranceUV, Standard_Real &UTolerance) |
Computes for this BSpline curve the parametric tolerance UTolerance for a given tolerance Tolerance3D (relative to dimensions in the plane). If f(t) is the equation of this BSpline curve, UTolerance ensures that: | t1 - t0| < Utolerance ===> |f(t1) - f(t0)| < ToleranceUV . | |
Standard_EXPORT Handle_Geom2d_Geometry | Copy () const |
Creates a new object which is a copy of this BSpline curve. . | |
Standard_EXPORT const | Handle (Standard_Type)&DynamicType() const |
Static Public Member Functions | |
static Standard_EXPORT Standard_Integer | MaxDegree () |
Returns the value of the maximum degree of the normalized B-spline basis functions in this package. . | |
Private Member Functions | |
Standard_EXPORT Standard_Boolean | IsCacheValid (const Standard_Real Parameter) const |
Tells whether the Cache is valid for the given parameter Warnings : the parameter must be normalized within the period if the curve is periodic. Otherwise the answer will be false . | |
Standard_EXPORT void | UpdateKnots () |
Recompute the flatknots, the knotsdistribution, the continuity. . | |
Standard_EXPORT void | InvalidateCache () |
Invalidates the cache. This has to be private this has to be private . | |
Standard_EXPORT void | ValidateCache (const Standard_Real Parameter) |
updates the cache and validates it | |
Private Attributes | |
Standard_Boolean | rational |
Standard_Boolean | periodic |
GeomAbs_BSplKnotDistribution | knotSet |
GeomAbs_Shape | smooth |
Standard_Integer | deg |
Handle_TColgp_HArray1OfPnt2d | poles |
Handle_TColStd_HArray1OfReal | weights |
Handle_TColStd_HArray1OfReal | flatknots |
Handle_TColStd_HArray1OfReal | knots |
Handle_TColStd_HArray1OfInteger | mults |
Handle_TColgp_HArray1OfPnt2d | cachepoles |
Handle_TColStd_HArray1OfReal | cacheweights |
Standard_Integer | validcache |
Standard_Real | parametercache |
Standard_Real | spanlenghtcache |
Standard_Integer | spanindexcache |
Standard_Real | maxderivinv |
Standard_Boolean | maxderivinvok |
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Implements Geom2d_Curve. |
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Implements Geom2d_Geometry. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_BoundedCurve. |
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Implements Geom2d_Curve. |
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Reimplemented from Geom2d_BoundedCurve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_Curve. |
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Implements Geom2d_BoundedCurve. |
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Implements Geom2d_Geometry. |
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