OCC.Law module

class OCC.Law.Handle_Law_BSpFunc(*args)

Bases: OCC.Law.Handle_Law_Function

static DownCast()
GetObject()
IsNull()
Nullify()
thisown

The membership flag

class OCC.Law.Handle_Law_BSpline(*args)

Bases: OCC.MMgt.Handle_MMgt_TShared

static DownCast()
GetObject()
IsNull()
Nullify()
thisown

The membership flag

class OCC.Law.Handle_Law_Composite(*args)

Bases: OCC.Law.Handle_Law_Function

static DownCast()
GetObject()
IsNull()
Nullify()
thisown

The membership flag

class OCC.Law.Handle_Law_Constant(*args)

Bases: OCC.Law.Handle_Law_Function

static DownCast()
GetObject()
IsNull()
Nullify()
thisown

The membership flag

class OCC.Law.Handle_Law_Function(*args)

Bases: OCC.MMgt.Handle_MMgt_TShared

static DownCast()
GetObject()
IsNull()
Nullify()
thisown

The membership flag

class OCC.Law.Handle_Law_Interpol(*args)

Bases: OCC.Law.Handle_Law_BSpFunc

static DownCast()
GetObject()
IsNull()
Nullify()
thisown

The membership flag

class OCC.Law.Handle_Law_Linear(*args)

Bases: OCC.Law.Handle_Law_Function

static DownCast()
GetObject()
IsNull()
Nullify()
thisown

The membership flag

class OCC.Law.Handle_Law_ListNodeOfLaws(*args)

Bases: OCC.TCollection.Handle_TCollection_MapNode

static DownCast()
GetObject()
IsNull()
Nullify()
thisown

The membership flag

class OCC.Law.Handle_Law_S(*args)

Bases: OCC.Law.Handle_Law_BSpFunc

static DownCast()
GetObject()
IsNull()
Nullify()
thisown

The membership flag

class OCC.Law.Law_BSpFunc(*args)

Bases: OCC.Law.Law_Function

Curve()
Return type:Handle_Law_BSpline
GetHandle()

Law_BSpFunc_GetHandle(Law_BSpFunc self) -> Handle_Law_BSpFunc

SetCurve()
Parameters:C (Handle_Law_BSpline &) –
Return type:None
thisown

The membership flag

class OCC.Law.Law_BSpline(*args)

Bases: OCC.MMgt.MMgt_TShared

Continuity()
  • 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.
Return type:GeomAbs_Shape
Copy()
Return type:Handle_Law_BSpline
D0()
Parameters:
  • U (float) –
  • P (float &) –
Return type:

None

D1()
Parameters:
  • U (float) –
  • P (float &) –
  • V1 (float &) –
Return type:

None

D2()
Parameters:
  • U (float) –
  • P (float &) –
  • V1 (float &) –
  • V2 (float &) –
Return type:

None

D3()
Parameters:
  • U (float) –
  • P (float &) –
  • V1 (float &) –
  • V2 (float &) –
  • V3 (float &) –
Return type:

None

DN()
  • 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.
Parameters:
  • U (float) –
  • N (Standard_Integer) –
Return type:

float

Degree()
  • Computation of value and derivatives
Return type:int
EndPoint()
  • 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.
Return type:float
FirstParameter()
  • Computes the parametric value of the start point of the curve. It is a knot value.
Return type:float
FirstUKnotIndex()
  • 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.
Return type:int
GetHandle()

Law_BSpline_GetHandle(Law_BSpline self) -> Handle_Law_BSpline

IncreaseDegree()
  • Increase the degree to <Degree>. Nothing is done if <Degree> is lower or equal to the current degree.
Parameters:Degree (Standard_Integer) –
Return type:None
IncreaseMultiplicity()
  • //!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]
Parameters:
  • Index (Standard_Integer) –
  • M (Standard_Integer) –
Return type:

None

  • //!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. If <I1,I2> are not in [FirstUKnotIndex, LastUKnotIndex]
Parameters:
  • I1 (Standard_Integer) –
  • I2 (Standard_Integer) –
  • M (Standard_Integer) –
Return type:

None

IncrementMultiplicity()
  • //!Increment the multiplicities of the knots in [I1,I2] by <M>. If <M> is not positive nithing is done. For each knot the resulting multiplicity is limited to the Degree. If <I1,I2> are not in [FirstUKnotIndex, LastUKnotIndex]
Parameters:
  • I1 (Standard_Integer) –
  • I2 (Standard_Integer) –
  • M (Standard_Integer) –
Return type:

None

InsertKnot()
  • 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.
Parameters:
  • U (float) –
  • M (Standard_Integer) – default value is 1
  • ParametricTolerance (float) – default value is 0.0
  • Add (bool) – default value is Standard_True
Return type:

None

  • 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.
Parameters:
  • U (float) –
  • M (Standard_Integer) – default value is 1
  • ParametricTolerance (float) – default value is 0.0
  • Add (bool) – default value is Standard_True
Return type:

None

  • 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.
Parameters:
  • U (float) –
  • M (Standard_Integer) – default value is 1
  • ParametricTolerance (float) – default value is 0.0
  • Add (bool) – default value is Standard_True
Return type:

None

  • 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.
Parameters:
  • U (float) –
  • M (Standard_Integer) – default value is 1
  • ParametricTolerance (float) – default value is 0.0
  • Add (bool) – default value is Standard_True
Return type:

None

InsertKnots()
  • Inserts a set of knots values in the sequence of knots. For each U = Knots(i), M = Mults(i) If <U> is an existing knot the multiplicity is increased by <M> if <Add> is True, increased to <M> if <Add> is False. 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.
Parameters:
  • Knots (TColStd_Array1OfReal &) –
  • Mults (TColStd_Array1OfInteger &) –
  • ParametricTolerance (float) – default value is 0.0
  • Add (bool) – default value is Standard_False
Return type:

None

  • Inserts a set of knots values in the sequence of knots. For each U = Knots(i), M = Mults(i) If <U> is an existing knot the multiplicity is increased by <M> if <Add> is True, increased to <M> if <Add> is False. 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.
Parameters:
  • Knots (TColStd_Array1OfReal &) –
  • Mults (TColStd_Array1OfInteger &) –
  • ParametricTolerance (float) – default value is 0.0
  • Add (bool) – default value is Standard_False
Return type:

None

  • Inserts a set of knots values in the sequence of knots. For each U = Knots(i), M = Mults(i) If <U> is an existing knot the multiplicity is increased by <M> if <Add> is True, increased to <M> if <Add> is False. 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.
Parameters:
  • Knots (TColStd_Array1OfReal &) –
  • Mults (TColStd_Array1OfInteger &) –
  • ParametricTolerance (float) – default value is 0.0
  • Add (bool) – default value is Standard_False
Return type:

None

IsCN()
  • Returns the continuity of the curve, the curve is at least C0. Raised if N < 0.
Parameters:N (Standard_Integer) –
Return type:bool
IsClosed()
  • 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.
Return type:bool
IsPeriodic()
  • Returns True if the curve is periodic.
Return type:bool
IsRational()
  • Returns True if the weights are not identical. The tolerance criterion is Epsilon of the class Real.
Return type:bool
Knot()
  • 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
Parameters:Index (Standard_Integer) –
Return type:float
KnotDistribution()
  • 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.
Return type:GeomAbs_BSplKnotDistribution
KnotSequence()
  • 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
Parameters:K (TColStd_Array1OfReal &) –
Return type:None
Knots()
  • returns the knot values of the B-spline curve; Raised if the length of K is not equal to the number of knots.
Parameters:K (TColStd_Array1OfReal &) –
Return type:None
LastParameter()
  • Computes the parametric value of the end point of the curve. It is a knot value.
Return type:float
LastUKnotIndex()
  • 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.
Return type:int
LocalD0()
Parameters:
  • U (float) –
  • FromK1 (Standard_Integer) –
  • ToK2 (Standard_Integer) –
  • P (float &) –
Return type:

None

LocalD1()
Parameters:
  • U (float) –
  • FromK1 (Standard_Integer) –
  • ToK2 (Standard_Integer) –
  • P (float &) –
  • V1 (float &) –
Return type:

None

LocalD2()
Parameters:
  • U (float) –
  • FromK1 (Standard_Integer) –
  • ToK2 (Standard_Integer) –
  • P (float &) –
  • V1 (float &) –
  • V2 (float &) –
Return type:

None

LocalD3()
Parameters:
  • U (float) –
  • FromK1 (Standard_Integer) –
  • ToK2 (Standard_Integer) –
  • P (float &) –
  • V1 (float &) –
  • V2 (float &) –
  • V3 (float &) –
Return type:

None

LocalDN()
Parameters:
  • U (float) –
  • FromK1 (Standard_Integer) –
  • ToK2 (Standard_Integer) –
  • N (Standard_Integer) –
Return type:

float

LocalValue()
Parameters:
  • U (float) –
  • FromK1 (Standard_Integer) –
  • ToK2 (Standard_Integer) –
Return type:

float

LocateU()
  • 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)
Parameters:
  • U (float) –
  • ParametricTolerance (float) –
  • I1 (Standard_Integer &) –
  • I2 (Standard_Integer &) –
  • WithKnotRepetition (bool) – default value is Standard_False
Return type:

None

  • 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)
Parameters:
  • U (float) –
  • ParametricTolerance (float) –
  • I1 (Standard_Integer &) –
  • I2 (Standard_Integer &) –
  • WithKnotRepetition (bool) – default value is Standard_False
Return type:

None

static MaxDegree()
  • Returns the value of the maximum degree of the normalized B-spline basis functions in this package.
Return type:int
MovePointAndTangent()
  • Changes the value of the Law at parameter U to NewValue. and makes its derivative at U be derivative. 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
Parameters:
  • U (float) –
  • NewValue (float) –
  • Derivative (float) –
  • Tolerance (float) –
  • StartingCondition (Standard_Integer) –
  • EndingCondition (Standard_Integer) –
  • ErrorStatus (Standard_Integer &) –
Return type:

None

Multiplicities()
  • Returns the multiplicity of the knots of the curve. Raised if the length of M is not equal to NbKnots.
Parameters:M (TColStd_Array1OfInteger &) –
Return type:None
Multiplicity()
  • Returns the multiplicity of the knots of range Index. Raised if Index < 1 or Index > NbKnots
Parameters:Index (Standard_Integer) –
Return type:int
NbKnots()
  • Returns the number of knots. This method returns the number of knot without repetition of multiple knots.
Return type:int
NbPoles()
  • Returns the number of poles
Return type:int
PeriodicNormalization()
  • returns the parameter normalized within the period if the curve is periodic : otherwise does not do anything
Parameters:U (float &) –
Return type:None
Pole()
  • Returns the pole of range Index. Raised if Index < 1 or Index > NbPoles.
Parameters:Index (Standard_Integer) –
Return type:float
Poles()
  • Returns the poles of the B-spline curve; Raised if the length of P is not equal to the number of poles.
Parameters:P (TColStd_Array1OfReal &) –
Return type:None
RemoveKnot()
  • Decrement the knots multiplicity to <M>. If M is 0 the knot is removed. The Poles sequence is modified. As there are two ways to compute the new poles the average is computed if the distance is lower than the <Tolerance>, else False is returned. A low tolerance is used to prevent the modification of the curve. A high tolerance is used to ‘smooth’ the curve. Raised if Index is not in the range [FirstUKnotIndex, LastUKnotIndex] pole insertion and pole removing this operation is limited to the Uniform or QuasiUniform BSplineCurve. The knot values are modified . If the BSpline is NonUniform or Piecewise Bezier an exception Construction error is raised.
Parameters:
  • Index (Standard_Integer) –
  • M (Standard_Integer) –
  • Tolerance (float) –
Return type:

bool

Resolution()
  • given Tolerance3D returns UTolerance such that if f(t) is the curve we have | t1 - t0| < Utolerance ===> |f(t1) - f(t0)| < Tolerance3D
Parameters:
  • Tolerance3D (float) –
  • UTolerance (float &) –
Return type:

None

Reverse()
  • Changes the direction of parametrization of <self>. The Knot sequence is modified, the FirstParameter and the LastParameter are not modified. The StartPoint of the initial curve becomes the EndPoint of the reversed curve and the EndPoint of the initial curve becomes the StartPoint of the reversed curve.
Return type:None
ReversedParameter()
  • Returns the parameter on the reversed curve for the point of parameter U on <self>. returns UFirst + ULast - U
Parameters:U (float) –
Return type:float
Segment()
  • Segments the curve between U1 and U2. The control points are modified, the first and the last point are not the same. Warnings : Even if <self> is not closed it can become closed after the segmentation for example if U1 or U2 are out of the bounds of the curve <self> or if the curve makes loop. After the segmentation the length of a curve can be null. raises if U2 < U1.
Parameters:
  • U1 (float) –
  • U2 (float) –
Return type:

None

SetKnot()
  • Changes the knot of range Index. The multiplicity of the knot is not modified. Raised if K >= Knots(Index+1) or K <= Knots(Index-1). Raised if Index < 1 || Index > NbKnots
Parameters:
  • Index (Standard_Integer) –
  • K (float) –
Return type:

None

  • Changes the knot of range Index with its multiplicity. You can increase the multiplicity of a knot but it is not allowed to decrease the multiplicity of an existing knot. Raised if K >= Knots(Index+1) or K <= Knots(Index-1). Raised if M is greater than Degree or lower than the previous multiplicity of knot of range Index. Raised if Index < 1 || Index > NbKnots
Parameters:
  • Index (Standard_Integer) –
  • K (float) –
  • M (Standard_Integer) –
Return type:

None

SetKnots()
  • Changes all the knots of the curve The multiplicity of the knots are not modified. Raised if there is an index such that K (Index+1) <= K (Index). Raised if K.Lower() < 1 or K.Upper() > NbKnots
Parameters:K (TColStd_Array1OfReal &) –
Return type:None
SetNotPeriodic()
  • Makes a non periodic curve. If the curve was non periodic the curve is not modified.
Return type:None
SetOrigin()
  • Set the origin of a periodic curve at Knot(index) KnotVector and poles are modified. Raised if the curve is not periodic Raised if index not in the range [FirstUKnotIndex , LastUKnotIndex]
Parameters:Index (Standard_Integer) –
Return type:None
SetPeriodic()
  • Makes a closed B-spline into a periodic curve. The curve is periodic if the knot sequence is periodic and if the curve is closed (The tolerance criterion is Resolution from gp). The period T is equal to Knot(LastUKnotIndex) - Knot(FirstUKnotIndex). A periodic B-spline can be uniform or not. Raised if the curve is not closed.
Return type:None
SetPole()
  • Substitutes the Pole of range Index with P. Raised if Index < 1 || Index > NbPoles
Parameters:
  • Index (Standard_Integer) –
  • P (float) –
Return type:

None

  • Substitutes the pole and the weight of range Index. If the curve <self> is not rational it can become rational If the curve was rational it can become non rational Raised if Index < 1 || Index > NbPoles Raised if Weight <= 0.0
Parameters:
  • Index (Standard_Integer) –
  • P (float) –
  • Weight (float) –
Return type:

None

SetWeight()
  • Changes the weight for the pole of range Index. If the curve was non rational it can become rational. If the curve was rational it can become non rational. Raised if Index < 1 || Index > NbPoles Raised if Weight <= 0.0
Parameters:
  • Index (Standard_Integer) –
  • Weight (float) –
Return type:

None

StartPoint()
  • 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.
Return type:float
Value()
Parameters:U (float) –
Return type:float
Weight()
  • Returns the weight of the pole of range Index . Raised if Index < 1 or Index > NbPoles.
Parameters:Index (Standard_Integer) –
Return type:float
Weights()
  • Returns the weights of the B-spline curve; Raised if the length of W is not equal to NbPoles.
Parameters:W (TColStd_Array1OfReal &) –
Return type:None
thisown

The membership flag

class OCC.Law.Law_BSplineKnotSplitting(*args)

Bases: object

NbSplits()
  • Returns the number of knots corresponding to the splitting.
Return type:int
SplitValue()
  • Returns the index of the knot corresponding to the splitting of range Index. Raised if Index < 1 or Index > NbSplits
Parameters:Index (Standard_Integer) –
Return type:int
Splitting()
  • Returns the indexes of the BSpline curve knots corresponding to the splitting. Raised if the length of SplitValues is not equal to NbSPlit.
Parameters:SplitValues (TColStd_Array1OfInteger &) –
Return type:None
thisown

The membership flag

OCC.Law.Law_BSpline_MaxDegree()
  • Returns the value of the maximum degree of the normalized B-spline basis functions in this package.
Return type:int
class OCC.Law.Law_Composite(*args)

Bases: OCC.Law.Law_Function

ChangeElementaryLaw()
  • Returns the elementary function of the composite used to compute at parameter W.
Parameters:W (float) –
Return type:Handle_Law_Function
ChangeLaws()
Return type:Law_Laws
GetHandle()

Law_Composite_GetHandle(Law_Composite self) -> Handle_Law_Composite

IsPeriodic()
Return type:bool
SetPeriodic()
Return type:None
thisown

The membership flag

class OCC.Law.Law_Constant

Bases: OCC.Law.Law_Function

GetHandle()

Law_Constant_GetHandle(Law_Constant self) -> Handle_Law_Constant

Set()
  • Set the radius and the range of the constant Law.
Parameters:
  • Radius (float) –
  • PFirst (float) –
  • PLast (float) –
Return type:

None

thisown

The membership flag

class OCC.Law.Law_Function(*args, **kwargs)

Bases: OCC.MMgt.MMgt_TShared

Bounds()
  • Returns the parametric bounds of the function.
Parameters:
  • PFirst (float &) –
  • PLast (float &) –
Return type:

void

Continuity()
Return type:GeomAbs_Shape
D1()
  • Returns the value F and the first derivative D of the function at the point of parameter X.
Parameters:
  • X (float) –
  • F (float &) –
  • D (float &) –
Return type:

void

D2()
  • Returns the value, first and seconde derivatives at parameter X.
Parameters:
  • X (float) –
  • F (float &) –
  • D (float &) –
  • D2 (float &) –
Return type:

void

GetHandle()

Law_Function_GetHandle(Law_Function self) -> Handle_Law_Function

Intervals()
  • Stores in <T> the parameters bounding the intervals of continuity <S>. The array must provide enough room to accomodate for the parameters. i.e. T.Length() > NbIntervals()
Parameters:
  • T (TColStd_Array1OfReal &) –
  • S (GeomAbs_Shape) –
Return type:

void

NbIntervals()
  • Returns the number of intervals for continuity <S>. May be one if Continuity(me) >= <S>
Parameters:S (GeomAbs_Shape) –
Return type:int
Trim()
  • Returns a law equivalent of <self> between parameters <First> and <Last>. <Tol> is used to test for 3d points confusion. It is usfule to determines the derivatives in these values <First> and <Last> if the Law is not Cn.
Parameters:
  • PFirst (float) –
  • PLast (float) –
  • Tol (float) –
Return type:

Handle_Law_Function

Value()
  • Returns the value of the function at the point of parameter X.
Parameters:X (float) –
Return type:float
thisown

The membership flag

class OCC.Law.Law_Interpol

Bases: OCC.Law.Law_BSpFunc

GetHandle()

Law_Interpol_GetHandle(Law_Interpol self) -> Handle_Law_Interpol

Set()
  • Defines this evolution law by interpolating the set of 2D points ParAndRad. The Y coordinate of a point of ParAndRad is the value of the function at the parameter point given by its X coordinate. If Periodic is true, this function is assumed to be periodic. Warning - The X coordinates of points in the table ParAndRad must be given in ascendant order. - If Periodic is true, the first and last Y coordinates of points in the table ParAndRad are assumed to be equal. In addition, with the second syntax, Dd and Df are also assumed to be equal. If this is not the case, Set uses the first value(s) as last value(s).
Parameters:
  • ParAndRad (TColgp_Array1OfPnt2d) –
  • Periodic (bool) – default value is Standard_False
Return type:

None

  • Defines this evolution law by interpolating the set of 2D points ParAndRad. The Y coordinate of a point of ParAndRad is the value of the function at the parameter point given by its X coordinate. If Periodic is true, this function is assumed to be periodic. Warning - The X coordinates of points in the table ParAndRad must be given in ascendant order. - If Periodic is true, the first and last Y coordinates of points in the table ParAndRad are assumed to be equal. In addition, with the second syntax, Dd and Df are also assumed to be equal. If this is not the case, Set uses the first value(s) as last value(s).
Parameters:
  • ParAndRad (TColgp_Array1OfPnt2d) –
  • Periodic (bool) – default value is Standard_False
Return type:

None

  • Defines this evolution law by interpolating the set of 2D points ParAndRad. The Y coordinate of a point of ParAndRad is the value of the function at the parameter point given by its X coordinate. If Periodic is true, this function is assumed to be periodic. In the second syntax, Dd and Df define the values of the first derivative of the function at its first and last points. Warning - The X coordinates of points in the table ParAndRad must be given in ascendant order. - If Periodic is true, the first and last Y coordinates of points in the table ParAndRad are assumed to be equal. In addition, with the second syntax, Dd and Df are also assumed to be equal. If this is not the case, Set uses the first value(s) as last value(s).
Parameters:
  • ParAndRad (TColgp_Array1OfPnt2d) –
  • Dd (float) –
  • Df (float) –
  • Periodic (bool) – default value is Standard_False
Return type:

None

  • Defines this evolution law by interpolating the set of 2D points ParAndRad. The Y coordinate of a point of ParAndRad is the value of the function at the parameter point given by its X coordinate. If Periodic is true, this function is assumed to be periodic. In the second syntax, Dd and Df define the values of the first derivative of the function at its first and last points. Warning - The X coordinates of points in the table ParAndRad must be given in ascendant order. - If Periodic is true, the first and last Y coordinates of points in the table ParAndRad are assumed to be equal. In addition, with the second syntax, Dd and Df are also assumed to be equal. If this is not the case, Set uses the first value(s) as last value(s).
Parameters:
  • ParAndRad (TColgp_Array1OfPnt2d) –
  • Dd (float) –
  • Df (float) –
  • Periodic (bool) – default value is Standard_False
Return type:

None

SetInRelative()
Parameters:
  • ParAndRad (TColgp_Array1OfPnt2d) –
  • Ud (float) –
  • Uf (float) –
  • Periodic (bool) – default value is Standard_False
  • ParAndRad
  • Ud
  • Uf
  • Periodic – default value is Standard_False
  • ParAndRad
  • Ud
  • Uf
  • Dd (float) –
  • Df (float) –
  • Periodic – default value is Standard_False
  • ParAndRad
  • Ud
  • Uf
  • Dd
  • Df
  • Periodic – default value is Standard_False
Return type:

None

Return type:

None

Return type:

None

Return type:

None

thisown

The membership flag

class OCC.Law.Law_Interpolate(*args)

Bases: object

Curve()
Return type:Handle_Law_BSpline
IsDone()
Return type:bool
Load()
  • loads initial and final tangents if any.
Parameters:
  • InitialTangent (float) –
  • FinalTangent (float) –
Return type:

None

  • loads the tangents. We should have as many tangents as they are points in the array if TangentFlags.Value(i) is Standard_True use the tangent Tangents.Value(i) otherwise the tangent is not constrained.
Parameters:
  • Tangents (TColStd_Array1OfReal &) –
  • TangentFlags (Handle_TColStd_HArray1OfBoolean &) –
Return type:

None

Perform()
  • Makes the interpolation
Return type:None
thisown

The membership flag

class OCC.Law.Law_Laws

Bases: object

Append()
Parameters:
  • I (Handle_Law_Function &) –
  • I
  • theIt (Law_ListIteratorOfLaws &) –
  • Other (Law_Laws &) –
Return type:

None

Return type:

None

Return type:

None

Assign()
Parameters:Other (Law_Laws &) –
Return type:None
Clear()
Return type:None
Extent()
Return type:int
First()
Return type:Handle_Law_Function
InsertAfter()
Parameters:
  • I (Handle_Law_Function &) –
  • It (Law_ListIteratorOfLaws &) –
  • Other (Law_Laws &) –
  • It
Return type:

None

Return type:

None

InsertBefore()
Parameters:
  • I (Handle_Law_Function &) –
  • It (Law_ListIteratorOfLaws &) –
  • Other (Law_Laws &) –
  • It
Return type:

None

Return type:

None

IsEmpty()
Return type:bool
Last()
Return type:Handle_Law_Function
Prepend()
Parameters:
  • I (Handle_Law_Function &) –
  • I
  • theIt (Law_ListIteratorOfLaws &) –
  • Other (Law_Laws &) –
Return type:

None

Return type:

None

Return type:

None

Remove()
Parameters:It (Law_ListIteratorOfLaws &) –
Return type:None
RemoveFirst()
Return type:None
Set()
Parameters:Other (Law_Laws &) –
Return type:None
thisown

The membership flag

class OCC.Law.Law_Linear

Bases: OCC.Law.Law_Function

GetHandle()

Law_Linear_GetHandle(Law_Linear self) -> Handle_Law_Linear

Set()
  • Defines this linear evolution law by assigning both: - the bounds Pdeb and Pfin of the parameter, and - the values Valdeb and Valfin of the function at these two parametric bounds.
Parameters:
  • Pdeb (float) –
  • Valdeb (float) –
  • Pfin (float) –
  • Valfin (float) –
Return type:

None

thisown

The membership flag

class OCC.Law.Law_ListIteratorOfLaws(*args)

Bases: object

Initialize()
Parameters:L (Law_Laws &) –
Return type:None
More()
Return type:bool
Next()
Return type:None
Value()
Return type:Handle_Law_Function
thisown

The membership flag

class OCC.Law.Law_ListNodeOfLaws(*args)

Bases: OCC.TCollection.TCollection_MapNode

GetHandle()

Law_ListNodeOfLaws_GetHandle(Law_ListNodeOfLaws self) -> Handle_Law_ListNodeOfLaws

Value()
Return type:Handle_Law_Function
thisown

The membership flag

class OCC.Law.Law_S

Bases: OCC.Law.Law_BSpFunc

GetHandle()

Law_S_GetHandle(Law_S self) -> Handle_Law_S

Set()
  • Defines this S evolution law by assigning both: - the bounds Pdeb and Pfin of the parameter, and - the values Valdeb and Valfin of the function at these two parametric bounds. The function is assumed to have the first derivatives equal to 0 at the two parameter points Pdeb and Pfin.
Parameters:
  • Pdeb (float) –
  • Valdeb (float) –
  • Pfin (float) –
  • Valfin (float) –
Return type:

None

  • Defines this S evolution law by assigning - the bounds Pdeb and Pfin of the parameter, - the values Valdeb and Valfin of the function at these two parametric bounds, and - the values Ddeb and Dfin of the first derivative of the function at these two parametric bounds.
Parameters:
  • Pdeb (float) –
  • Valdeb (float) –
  • Ddeb (float) –
  • Pfin (float) –
  • Valfin (float) –
  • Dfin (float) –
Return type:

None

thisown

The membership flag

class OCC.Law.SwigPyIterator(*args, **kwargs)

Bases: object

advance()
copy()
decr()
distance()
equal()
incr()
next()
previous()
thisown

The membership flag

value()
class OCC.Law.law(*args, **kwargs)

Bases: object

static MixBnd(*args)
  • This algorithm searches the knot values corresponding to the splitting of a given B-spline law into several arcs with the same continuity. The continuity order is given at the construction time. Builds a 1d bspline that is near from Lin with null derivatives at the extremities.
Parameters:Lin (Handle_Law_Linear &) –
Return type:Handle_Law_BSpFunc
  • Builds the poles of the 1d bspline that is near from Lin with null derivatives at the extremities.
Parameters:
  • Degree (Standard_Integer) –
  • Knots (TColStd_Array1OfReal &) –
  • Mults (TColStd_Array1OfInteger &) –
  • Lin (Handle_Law_Linear &) –
Return type:

Handle_TColStd_HArray1OfReal

static MixTgt(*args)
  • Builds the poles of the 1d bspline that is null on the rigth side of Knots(Index) (on the left if NulOnTheRight is false) and that is like a t*(1-t)(1-t) curve on the left side of Knots(Index) (on the rigth if NulOnTheRight is false). The result curve is C1 with a derivative equal to 1. at first parameter (-1 at last parameter if NulOnTheRight is false). Warning: Mults(Index) must greater or equal to degree-1.
Parameters:
  • Degree (Standard_Integer) –
  • Knots (TColStd_Array1OfReal &) –
  • Mults (TColStd_Array1OfInteger &) –
  • NulOnTheRight (bool) –
  • Index (Standard_Integer) –
Return type:

Handle_TColStd_HArray1OfReal

static Reparametrize(*args)
  • Computes a 1 d curve to reparametrize a curve. Its an interpolation of NbPoints points calculated at quasi constant abscissa.
Parameters:
  • Curve (Adaptor3d_Curve &) –
  • First (float) –
  • Last (float) –
  • HasDF (bool) –
  • HasDL (bool) –
  • DFirst (float) –
  • DLast (float) –
  • Rev (bool) –
  • NbPoints (Standard_Integer) –
Return type:

Handle_Law_BSpline

static Scale(*args)
  • Computes a 1 d curve to scale a field of tangency. Value is 1. for t = (First+Last)/2 . If HasFirst value for t = First is VFirst (null derivative). If HasLast value for t = Last is VLast (null derivative). 1. _ _/ _ __/ __ / VFirst ____/ VLast ____ First Last
Parameters:
  • First (float) –
  • Last (float) –
  • HasF (bool) –
  • HasL (bool) –
  • VFirst (float) –
  • VLast (float) –
Return type:

Handle_Law_BSpline

static ScaleCub(*args)
Parameters:
  • First (float) –
  • Last (float) –
  • HasF (bool) –
  • HasL (bool) –
  • VFirst (float) –
  • VLast (float) –
Return type:

Handle_Law_BSpline

thisown

The membership flag

OCC.Law.law_MixBnd(*args)
  • This algorithm searches the knot values corresponding to the splitting of a given B-spline law into several arcs with the same continuity. The continuity order is given at the construction time. Builds a 1d bspline that is near from Lin with null derivatives at the extremities.
Parameters:Lin (Handle_Law_Linear &) –
Return type:Handle_Law_BSpFunc
  • Builds the poles of the 1d bspline that is near from Lin with null derivatives at the extremities.
Parameters:
  • Degree (Standard_Integer) –
  • Knots (TColStd_Array1OfReal &) –
  • Mults (TColStd_Array1OfInteger &) –
  • Lin (Handle_Law_Linear &) –
Return type:

Handle_TColStd_HArray1OfReal

OCC.Law.law_MixTgt(*args)
  • Builds the poles of the 1d bspline that is null on the rigth side of Knots(Index) (on the left if NulOnTheRight is false) and that is like a t*(1-t)(1-t) curve on the left side of Knots(Index) (on the rigth if NulOnTheRight is false). The result curve is C1 with a derivative equal to 1. at first parameter (-1 at last parameter if NulOnTheRight is false). Warning: Mults(Index) must greater or equal to degree-1.
Parameters:
  • Degree (Standard_Integer) –
  • Knots (TColStd_Array1OfReal &) –
  • Mults (TColStd_Array1OfInteger &) –
  • NulOnTheRight (bool) –
  • Index (Standard_Integer) –
Return type:

Handle_TColStd_HArray1OfReal

OCC.Law.law_Reparametrize(*args)
  • Computes a 1 d curve to reparametrize a curve. Its an interpolation of NbPoints points calculated at quasi constant abscissa.
Parameters:
  • Curve (Adaptor3d_Curve &) –
  • First (float) –
  • Last (float) –
  • HasDF (bool) –
  • HasDL (bool) –
  • DFirst (float) –
  • DLast (float) –
  • Rev (bool) –
  • NbPoints (Standard_Integer) –
Return type:

Handle_Law_BSpline

OCC.Law.law_Scale(*args)
  • Computes a 1 d curve to scale a field of tangency. Value is 1. for t = (First+Last)/2 . If HasFirst value for t = First is VFirst (null derivative). If HasLast value for t = Last is VLast (null derivative). 1. _ _/ _ __/ __ / VFirst ____/ VLast ____ First Last
Parameters:
  • First (float) –
  • Last (float) –
  • HasF (bool) –
  • HasL (bool) –
  • VFirst (float) –
  • VLast (float) –
Return type:

Handle_Law_BSpline

OCC.Law.law_ScaleCub(*args)
Parameters:
  • First (float) –
  • Last (float) –
  • HasF (bool) –
  • HasL (bool) –
  • VFirst (float) –
  • VLast (float) –
Return type:

Handle_Law_BSpline