OCC.Core.Geom module¶

Geom module, see official documentation at https://www.opencascade.com/doc/occt-7.4.0/refman/html/package_geom.html

class Geom_Axis1Placement(*args)¶

Bases: OCC.Core.Geom.Geom_AxisPlacement

Returns a transient copy of A1.

param A1

type A1

gp_Ax1

rtype

None* P is the origin of the axis placement and V is the direction of the axis placement.

param P

type P

gp_Pnt

param V

type V

gp_Dir

rtype

None

Ax1()¶

Returns a non transient copy of <self>.

rtype

gp_Ax1

static DownCast(t)¶

Reverse()¶

Reverses the direction of the axis placement.

rtype

None

Reversed()¶

Returns a copy of <self> reversed.

rtype

opencascade::handle<Geom_Axis1Placement>

property thisown¶: The membership flag

class Geom_Axis2Placement(*args)¶

Bases: OCC.Core.Geom.Geom_AxisPlacement

Returns a transient copy of A2.

param A2

type A2

gp_Ax2

rtype

None* P is the origin of the axis placement, N is the main direction of the axis placement and Vx is the ‘XDirection’. If the two directions N and Vx are not orthogonal the ‘XDirection’ is computed as follow : XDirection = N ^ (Vx ^ N). Raised if N and Vx are parallel.

param P

type P

gp_Pnt

param N

type N

gp_Dir

param Vx

type Vx

gp_Dir

rtype

None

Ax2()¶

Returns a non transient copy of <self>.

rtype

gp_Ax2

static DownCast(t)¶

SetAx2()¶

Assigns the origin and the three unit vectors of A2 to this coordinate system.

param A2

type A2

gp_Ax2

rtype

None

SetXDirection()¶

Changes the ‘XDirection’ of the axis placement, Vx is the new ‘XDirection’. If Vx is not normal to the main direction then ‘XDirection’ is computed as followXDirection = Direction ^ ( Vx ^ Direction). The main direction is not modified. Raised if Vx and ‘Direction’ are parallel.

param Vx

type Vx

gp_Dir

rtype

None

SetYDirection()¶

Changes the ‘YDirection’ of the axis placement, Vy is the new ‘YDirection’. If Vy is not normal to the main direction then ‘YDirection’ is computed as followYDirection = Direction ^ ( Vy ^ Direction). The main direction is not modified. The ‘XDirection’ is modified. Raised if Vy and the main direction are parallel.

param Vy

type Vy

gp_Dir

rtype

None

XDirection()¶

Returns the ‘XDirection’. This is a unit vector.

rtype

gp_Dir

YDirection()¶

Returns the ‘YDirection’. This is a unit vector.

rtype

gp_Dir

property thisown¶: The membership flag

class Geom_AxisPlacement(*args, **kwargs)¶

Bases: OCC.Core.Geom.Geom_Geometry

Empty constructor

Return type: None* Copy constructor – does nothing
Parameters: & (Standard_Transient) –
Return type: None

Angle()¶

Computes the angular value, in radians, between the ‘main Direction’ of this positioning system and that of positioning system Other. The result is a value between 0 and Pi.

param Other

type Other

Geom_AxisPlacement

rtype

float

Axis()¶

Returns the main axis of the axis placement. For an ‘Axis2placement’ it is the main axis (Location, Direction ). For an ‘Axis1Placement’ this method returns a copy of <self>.

rtype

gp_Ax1

Direction()¶

Returns the main ‘Direction’ of an axis placement.

rtype

gp_Dir

static DownCast(t)¶

Location()¶

Returns the Location point (origin) of the axis placement.

rtype

gp_Pnt

SetAxis()¶

Assigns A1 as the ‘main Axis’ of this positioning system. This modifies - its origin, and - its ‘main Direction’. If this positioning system is a Geom_Axis2Placement, then its ‘X Direction’ and ‘Y Direction’ are recomputed. Exceptions For a Geom_Axis2Placement: Standard_ConstructionError if A1 and the previous ‘X Direction’ of the coordinate system are parallel.

param A1

type A1

gp_Ax1

rtype

None

SetDirection()¶

Changes the direction of the axis placement. If <self> is an axis placement two axis the main ‘Direction’ is modified and the ‘XDirection’ and ‘YDirection’ are recomputed. Raises ConstructionError only for an axis placement two axis if V and the previous ‘XDirection’ are parallel because it is not possible to calculate the new ‘XDirection’ and the new ‘YDirection’.

param V

type V

gp_Dir

rtype

void

SetLocation()¶

Assigns the point P as the origin of this positioning system.

param P

type P

gp_Pnt

rtype

None

property thisown¶: The membership flag

class Geom_BSplineCurve(*args)¶

Bases: OCC.Core.Geom.Geom_BoundedCurve

Creates a non-rational B_spline curve on the basis <Knots, Multiplicities> of degree <Degree>.

param Poles

type Poles

TColgp_Array1OfPnt

param Knots

type Knots

TColStd_Array1OfReal

param Multiplicities

type Multiplicities

TColStd_Array1OfInteger

param Degree

type Degree

int

param Periodic

default value is Standard_False

type Periodic

bool

rtype

None* Creates a rational B_spline curve on the basis <Knots, Multiplicities> of degree <Degree>. Raises ConstructionError subject to the following conditions 0 < Degree <= MaxDegree. //! Weights.Length() == Poles.Length() //! 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

param Poles

type Poles

TColgp_Array1OfPnt

param Weights

type Weights

TColStd_Array1OfReal

param Knots

type Knots

TColStd_Array1OfReal

param Multiplicities

type Multiplicities

TColStd_Array1OfInteger

param Degree

type Degree

int

param Periodic

default value is Standard_False

type Periodic

bool

param CheckRational

default value is Standard_True

type CheckRational

bool

rtype

None

Degree()¶

Returns the degree of this BSpline curve. The degree of a Geom_BSplineCurve curve cannot be greater than Geom_BSplineCurve::MaxDegree(). Computation of value and derivatives

rtype

int

static DownCast(t)¶

FirstUKnotIndex()¶

Returns the index in the knot array of the knot corresponding to the first or last parameter of this BSpline curve. For a BSpline curve, the first (or last) parameter (which gives the start (or end) point of the curve) is a knot value. However, if the multiplicity of the first (or last) knot is less than Degree + 1, where Degree is the degree of the curve, it is not the first (or last) knot of the curve.

rtype

int

IncreaseDegree()¶

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 Geom_BSplineCurve::MaxDegree().

param Degree

type Degree

int

rtype

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]

param Index

type Index

int

param M

type M

int

rtype

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]

param I1

type I1

int

param I2

type I2

int

param M

type M

int

rtype

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]

param I1

type I1

int

param I2

type I2

int

param M

type M

int

rtype

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.

param U

type U

float

param M

default value is 1

type M

int

param ParametricTolerance

default value is 0.0

type ParametricTolerance

float

param Add

default value is Standard_True

type Add

bool

rtype

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.

param Knots

type Knots

TColStd_Array1OfReal

param Mults

type Mults

TColStd_Array1OfInteger

param ParametricTolerance

default value is 0.0

type ParametricTolerance

float

param Add

default value is Standard_False

type Add

bool

rtype

None

IsEqual()¶

Comapare two Bspline curve on identity;

param theOther

type theOther

Geom_BSplineCurve

param thePreci

type thePreci

float

rtype

bool

IsG1()¶

Check if curve has at least G1 continuity in interval [theTf, theTl] Returns true if IsCN(1) or angle betweem ‘left’ and ‘right’ first derivatives at knots with C0 continuity is less then theAngTol only knots in interval [theTf, theTl] is checked

param theTf

type theTf

float

param theTl

type theTl

float

param theAngTol

type theAngTol

float

rtype

bool

IsRational()¶

Returns True if the weights are not identical. The tolerance criterion is Epsilon of the class Real.

rtype

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

param Index

type Index

int

rtype

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.

rtype

GeomAbs_BSplKnotDistribution

KnotSequence()¶

Returns K, the knots sequence of this BSpline curve. In this sequence, knots with a multiplicity greater than 1 are repeated. In the case of a non-periodic curve the length of the sequence must be equal to the sum of the NbKnots multiplicities of the knots of the curve (where NbKnots is the number of knots of this BSpline curve). This sum is also equal toNbPoles + Degree + 1 where NbPoles is the number of poles and Degree the degree of this BSpline curve. In the case of a periodic curve, if there are k periodic knots, the period is Knot(k+1) - Knot(1). The initial sequence is built by writing knots 1 to k+1, which are repeated according to their corresponding multiplicities. If Degree is the degree of the curve, the degree of continuity of the curve at the knot of index 1 (or k+1) is equal to c = Degree + 1 - Mult(1). c knots are then inserted at the beginning and end of the initial sequence: - the c values of knots preceding the first item Knot(k+1) in the initial sequence are inserted at the beginning; the period is subtracted from these c values; - the c values of knots following the last item Knot(1) in the initial sequence are inserted at the end; the period is added to these c values. The length of the sequence must therefore be equal to: NbPoles + 2*Degree - Mult(1) + 2. Example For a non-periodic BSpline curve of degree 2 where: - the array of knots is: { k1 k2 k3 k4 }, - with associated multiplicities: { 3 1 2 3 }, the knot sequence is: K = { k1 k1 k1 k2 k3 k3 k4 k4 k4 } For a periodic BSpline curve of degree 4 , which is ‘C1’ continuous at the first knot, and where- the periodic knots are: { k1 k2 k3 (k4) } (3 periodic knots: the points of parameter k1 and k4 are identical, the period is p = k4 - k1), - with associated multiplicities: { 3 1 2 (3) }, the degree of continuity at knots k1 and k4 is: Degree + 1 - Mult(i) = 2. 2 supplementary knots are added at the beginning and end of the sequence: - at the beginning: the 2 knots preceding k4 minus the period; in this example, this is k3 - p both times; - at the end: the 2 knots following k1 plus the period; in this example, this is k2 + p and k3 + p. The knot sequence is therefore: K = { k3-p k3-p k1 k1 k1 k2 k3 k3 k4 k4 k4 k2+p k3+p } Exceptions Raised if K.Lower() is less than number of first knot in knot sequence with repetitions or K.Upper() is more than number of last knot in knot sequence with repetitions.

param K

type K

TColStd_Array1OfReal

rtype

None* returns the knots of the B-spline curve. Knots with multiplicit greater than 1 are repeated

rtype

TColStd_Array1OfReal

Knots()¶

returns the knot values of the B-spline curve; Warning A knot with a multiplicity greater than 1 is not repeated in the knot table. The Multiplicity function can be used to obtain the multiplicity of each knot. //! Raised K.Lower() is less than number of first knot or K.Upper() is more than number of last knot.

param K

type K

TColStd_Array1OfReal

rtype

None* returns the knot values of the B-spline curve; Warning A knot with a multiplicity greater than 1 is not repeated in the knot table. The Multiplicity function can be used to obtain the multiplicity of each knot.

rtype

TColStd_Array1OfReal

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.

rtype

int

LocalD0()¶

Raised if FromK1 = ToK2.

param U

type U

float

param FromK1

type FromK1

int

param ToK2

type ToK2

int

param P

type P

gp_Pnt

rtype

None

LocalD1()¶

Raised if the local continuity of the curve is not C1 between the knot K1 and the knot K2. Raised if FromK1 = ToK2.

param U

type U

float

param FromK1

type FromK1

int

param ToK2

type ToK2

int

param P

type P

gp_Pnt

param V1

type V1

gp_Vec

rtype

None

LocalD2()¶

Raised if the local continuity of the curve is not C2 between the knot K1 and the knot K2. Raised if FromK1 = ToK2.

param U

type U

float

param FromK1

type FromK1

int

param ToK2

type ToK2

int

param P

type P

gp_Pnt

param V1

type V1

gp_Vec

param V2

type V2

gp_Vec

rtype

None

LocalD3()¶

Raised if the local continuity of the curve is not C3 between the knot K1 and the knot K2. Raised if FromK1 = ToK2.

param U

type U

float

param FromK1

type FromK1

int

param ToK2

type ToK2

int

param P

type P

gp_Pnt

param V1

type V1

gp_Vec

param V2

type V2

gp_Vec

param V3

type V3

gp_Vec

rtype

None

LocalDN()¶

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.

param U

type U

float

param FromK1

type FromK1

int

param ToK2

type ToK2

int

param N

type N

int

rtype

gp_Vec

LocalValue()¶

Raised if FromK1 = ToK2.

param U

type U

float

param FromK1

type FromK1

int

param ToK2

type ToK2

int

rtype

gp_Pnt

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)

param U

type U

float

param ParametricTolerance

type ParametricTolerance

float

param I1

type I1

int

param I2

type I2

int

param WithKnotRepetition

default value is Standard_False

type WithKnotRepetition

bool

rtype

None

static MaxDegree()¶

Returns the value of the maximum degree of the normalized B-spline basis functions in this package.

rtype

int

MovePoint()¶

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.

param U

type U

float

param P

type P

gp_Pnt

param Index1

type Index1

int

param Index2

type Index2

int

param FirstModifiedPole

type FirstModifiedPole

int

param LastModifiedPole

type LastModifiedPole

int

rtype

None

MovePointAndTangent()¶

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

param U

type U

float

param P

type P

gp_Pnt

param Tangent

type Tangent

gp_Vec

param Tolerance

type Tolerance

float

param StartingCondition

type StartingCondition

int

param EndingCondition

type EndingCondition

int

param ErrorStatus

type ErrorStatus

int

rtype

None

Multiplicities()¶

Returns the multiplicity of the knots of the curve. //! Raised if the length of M is not equal to NbKnots.

param M

type M

TColStd_Array1OfInteger

rtype

None* returns the multiplicity of the knots of the curve.

rtype

TColStd_Array1OfInteger

Multiplicity()¶

Returns the multiplicity of the knots of range Index. Raised if Index < 1 or Index > NbKnots

param Index

type Index

int

rtype

int

NbKnots()¶

Returns the number of knots. This method returns the number of knot without repetition of multiple knots.

rtype

int

NbPoles()¶

Returns the number of poles

rtype

int

PeriodicNormalization()¶

returns the parameter normalized within the period if the curve is periodicotherwise does not do anything

param U

type U

float

rtype

None

Pole()¶

Returns the pole of range Index. Raised if Index < 1 or Index > NbPoles.

param Index

type Index

int

rtype

gp_Pnt

Poles()¶

Returns the poles of the B-spline curve; //! Raised if the length of P is not equal to the number of poles.

param P

type P

TColgp_Array1OfPnt

rtype

None* Returns the poles of the B-spline curve;

rtype

TColgp_Array1OfPnt

RemoveKnot()¶

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. 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.

param Index

type Index

int

param M

type M

int

param Tolerance

type Tolerance

float

rtype

bool

Resolution()¶

Computes for this BSpline curve the parametric tolerance UTolerance for a given 3D tolerance Tolerance3D. If f(t) is the equation of this BSpline curve, UTolerance ensures that: | t1 - t0| < Utolerance ===> |f(t1) - f(t0)| < Tolerance3D

param Tolerance3D

type Tolerance3D

float

param UTolerance

type UTolerance

float

rtype

None

Segment()¶

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. //! Parameter theTolerance defines the possible proximity of the segment boundaries and B-spline knots to treat them as equal. //! WarningsEven 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. Standard_DomainError if U2 - U1 exceeds the period for periodic curves. i.e. ((U2 - U1) - Period) > Precision::PConfusion().

param U1

type U1

float

param U2

type U2

float

param theTolerance

default value is Precision::Confusion()

type theTolerance

float

rtype

None

SetKnot()¶

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). 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.

param Index

type Index

int

param K

type K

float

rtype

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

param Index

type Index

int

param K

type K

float

param M

type M

int

rtype

None

SetKnots()¶

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.

param K

type K

TColStd_Array1OfReal

rtype

None

SetNotPeriodic()¶

Changes this BSpline curve into a non-periodic curve. If this curve is already non-periodic, it is not modified. Note: 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.

rtype

None

SetOrigin()¶

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.

param Index

type Index

int

rtype

None* Set the origin of a periodic curve at Knot U. If U is not a knot of the BSpline a new knot is inseted. KnotVector and poles are modified. Raised if the curve is not periodic

param U

type U

float

param Tol

type Tol

float

rtype

None

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: Knots(I2) - Knots(I1). Consequently, the knots and poles tables are modified. Exceptions Standard_ConstructionError if this BSpline curve is not closed.

rtype

None

SetPole()¶

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.

param Index

type Index

int

param P

type P

gp_Pnt

rtype

None* Modifies this BSpline curve by assigning P to the pole of index Index in the poles table. This 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.

param Index

type Index

int

param P

type P

gp_Pnt

param Weight

type Weight

float

rtype

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

param Index

type Index

int

param Weight

type Weight

float

rtype

None

Weight()¶

Returns the weight of the pole of range Index . Raised if Index < 1 or Index > NbPoles.

param Index

type Index

int

rtype

float

Weights()¶

Returns the weights of the B-spline curve; //! Raised if the length of W is not equal to NbPoles.

param W

type W

TColStd_Array1OfReal

rtype

None* Returns the weights of the B-spline curve;

rtype

TColStd_Array1OfReal *

property thisown¶: The membership flag

class Geom_BSplineSurface(*args)¶

Bases: OCC.Core.Geom.Geom_BoundedSurface

Creates a non-rational b-spline surface (weights default value is 1.). The following conditions must be verified. 0 < UDegree <= MaxDegree. UKnots.Length() == UMults.Length() >= 2 UKnots(i) < UKnots(i+1) (Knots are increasing) 1 <= UMults(i) <= UDegree On a non uperiodic surface the first and last umultiplicities may be UDegree+1 (this is even recommanded if you want the curve to start and finish on the first and last pole). On a uperiodic surface the first and the last umultiplicities must be the same. on non-uperiodic surfaces Poles.ColLength() == Sum(UMults(i)) - UDegree - 1 >= 2 on uperiodic surfaces Poles.ColLength() == Sum(UMults(i)) except the first or last The previous conditions for U holds also for V, with the RowLength of the poles.

param Poles

type Poles

TColgp_Array2OfPnt

param UKnots

type UKnots

TColStd_Array1OfReal

param VKnots

type VKnots

TColStd_Array1OfReal

param UMults

type UMults

TColStd_Array1OfInteger

param VMults

type VMults

TColStd_Array1OfInteger

param UDegree

type UDegree

int

param VDegree

type VDegree

int

param UPeriodic

default value is Standard_False

type UPeriodic

bool

param VPeriodic

default value is Standard_False

type VPeriodic

bool

rtype

None* Creates a non-rational b-spline surface (weights default value is 1.). //! The following conditions must be verified. 0 < UDegree <= MaxDegree. //! UKnots.Length() == UMults.Length() >= 2 //! UKnots(i) < UKnots(i+1) (Knots are increasing) 1 <= UMults(i) <= UDegree //! On a non uperiodic surface the first and last umultiplicities may be UDegree+1 (this is even recommanded if you want the curve to start and finish on the first and last pole). //! On a uperiodic surface the first and the last umultiplicities must be the same. //! on non-uperiodic surfaces //! Poles.ColLength() == Sum(UMults(i)) - UDegree - 1 >= 2 //! on uperiodic surfaces //! Poles.ColLength() == Sum(UMults(i)) except the first or last //! The previous conditions for U holds also for V, with the RowLength of the poles.

param Poles

type Poles

TColgp_Array2OfPnt

param Weights

type Weights

TColStd_Array2OfReal

param UKnots

type UKnots

TColStd_Array1OfReal

param VKnots

type VKnots

TColStd_Array1OfReal

param UMults

type UMults

TColStd_Array1OfInteger

param VMults

type VMults

TColStd_Array1OfInteger

param UDegree

type UDegree

int

param VDegree

type VDegree

int

param UPeriodic

default value is Standard_False

type UPeriodic

bool

param VPeriodic

default value is Standard_False

type VPeriodic

bool

rtype

None

CheckAndSegment()¶

Segments the surface between U1 and U2 in the U-Direction. between V1 and V2 in the V-Direction. //! same as Segment but do nothing if U1 and U2 (resp. V1 and V2) are equal to the bounds in U (resp. in V) of <self>. For example, if <self> is periodic in V, it will be always periodic in V after the segmentation if the bounds in V are unchanged //! Parameters theUTolerance, theVTolerance define the possible proximity along the correponding direction of the segment boundaries and B-spline knots to treat them as equal. //! WarningsEven 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 surface <self> or if the surface makes loop. raises if U2 < U1 or V2 < V1. Standard_DomainError if U2 - U1 exceeds the uperiod for uperiodic surfaces. i.e. ((U2 - U1) - UPeriod) > Precision::PConfusion(). Standard_DomainError if V2 - V1 exceeds the vperiod for vperiodic surfaces. i.e. ((V2 - V1) - VPeriod) > Precision::PConfusion()).

param U1

type U1

float

param U2

type U2

float

param V1

type V1

float

param V2

type V2

float

param theUTolerance

default value is Precision::Confusion()

type theUTolerance

float

param theVTolerance

default value is Precision::Confusion()

type theVTolerance

float

rtype

None

static DownCast(t)¶

ExchangeUV()¶

Exchanges the u and v parametric directions on this BSpline surface. As a consequence: - the poles and weights tables are transposed, - the knots and multiplicities tables are exchanged, - degrees of continuity, and rational, periodic and uniform characteristics are exchanged, and - the orientation of the surface is inverted.

rtype

None

FirstUKnotIndex()¶

Computes the Index of the UKnots which gives the first parametric value of the surface in the U direction. The UIso curve corresponding to this value is a boundary curve of the surface.

rtype

int

FirstVKnotIndex()¶

Computes the Index of the VKnots which gives the first parametric value of the surface in the V direction. The VIso curve corresponding to this knot is a boundary curve of the surface.

rtype

int

IncreaseDegree()¶

Increases the degrees of this BSpline surface to UDegree and VDegree in the u and v parametric directions respectively. As a result, the tables of poles, weights and multiplicities are modified. The tables of knots is not changed. Note: Nothing is done if the given degree is less than or equal to the current degree in the corresponding parametric direction. Exceptions Standard_ConstructionError if UDegree or VDegree is greater than Geom_BSplineSurface::MaxDegree().

param UDegree

type UDegree

int

param VDegree

type VDegree

int

rtype

None

IncreaseUMultiplicity()¶

Increases the multiplicity of the knot of range UIndex in the UKnots sequence. M is the new multiplicity. M must be greater than the previous multiplicity and lower or equal to the degree of the surface in the U parametric direction. Raised if M is not in the range [1, UDegree] //! Raised if UIndex is not in the range [FirstUKnotIndex, LastUKnotIndex] given by the methods with the same name.

param UIndex

type UIndex

int

param M

type M

int

rtype

None* Increases until order M the multiplicity of the set of knots FromI1,…., ToI2 in the U direction. This method can be used to make a B_spline surface into a PiecewiseBezier B_spline surface. If <self> was uniform, it can become non uniform. //! Raised if FromI1 or ToI2 is out of the range [FirstUKnotIndex, LastUKnotIndex]. //! M should be greater than the previous multiplicity of the all the knots FromI1,…, ToI2 and lower or equal to the Degree of the surface in the U parametric direction.

param FromI1

type FromI1

int

param ToI2

type ToI2

int

param M

type M

int

rtype

None

IncreaseVMultiplicity()¶

Increases the multiplicity of a knot in the V direction. M is the new multiplicity. //! M should be greater than the previous multiplicity and lower than the degree of the surface in the V parametric direction. //! Raised if VIndex is not in the range [FirstVKnotIndex, LastVKnotIndex] given by the methods with the same name.

param VIndex

type VIndex

int

param M

type M

int

rtype

None* Increases until order M the multiplicity of the set of knots FromI1,…., ToI2 in the V direction. This method can be used to make a BSplineSurface into a PiecewiseBezier B_spline surface. If <self> was uniform, it can become non-uniform. //! Raised if FromI1 or ToI2 is out of the range [FirstVKnotIndex, LastVKnotIndex] given by the methods with the same name. //! M should be greater than the previous multiplicity of the all the knots FromI1,…, ToI2 and lower or equal to the Degree of the surface in the V parametric direction.

param FromI1

type FromI1

int

param ToI2

type ToI2

int

param M

type M

int

rtype

None

IncrementUMultiplicity()¶

Increments the multiplicity of the consecutives uknots FromI1..ToI2 by step. The multiplicity of each knot FromI1,…..,ToI2 must be lower or equal to the UDegree of the B_spline. //! Raised if FromI1 or ToI2 is not in the range [FirstUKnotIndex, LastUKnotIndex] //! Raised if one knot has a multiplicity greater than UDegree.

param FromI1

type FromI1

int

param ToI2

type ToI2

int

param Step

type Step

int

rtype

None

IncrementVMultiplicity()¶

Increments the multiplicity of the consecutives vknots FromI1..ToI2 by step. The multiplicity of each knot FromI1,…..,ToI2 must be lower or equal to the VDegree of the B_spline. //! Raised if FromI1 or ToI2 is not in the range [FirstVKnotIndex, LastVKnotIndex] //! Raised if one knot has a multiplicity greater than VDegree.

param FromI1

type FromI1

int

param ToI2

type ToI2

int

param Step

type Step

int

rtype

None

InsertUKnot()¶

Inserts a knot value in the sequence of UKnots. If U is a knot value this method increases the multiplicity of the knot if the previous multiplicity was lower than M else it does nothing. The tolerance criterion is ParametricTolerance. ParametricTolerance should be greater or equal than Resolution from package gp. //! Raised if U is out of the bounds [U1, U2] given by the methods Bounds, the criterion ParametricTolerance is used. Raised if M is not in the range [1, UDegree].

param U

type U

float

param M

type M

int

param ParametricTolerance

type ParametricTolerance

float

param Add

default value is Standard_True

type Add

bool

rtype

None

InsertUKnots()¶

Inserts into the knots table for the U parametric direction of this BSpline surface: - the values of the array Knots, with their respective multiplicities, Mults. If the knot value to insert already exists in the table, its multiplicity is: - increased by M, if Add is true (the default), or - increased to M, if Add is false. The tolerance criterion used to check the equality of the knots is the larger of the values ParametricTolerance and Standard_Real::Epsilon(val), where val is the knot value to be inserted. Warning - If a given multiplicity coefficient is null, or negative, nothing is done. - The new multiplicity of a knot is limited to the degree of this BSpline surface in the corresponding parametric direction. Exceptions Standard_ConstructionError if a knot value to insert is outside the bounds of this BSpline surface in the specified parametric direction. The comparison uses the precision criterion ParametricTolerance.

param Knots

type Knots

TColStd_Array1OfReal

param Mults

type Mults

TColStd_Array1OfInteger

param ParametricTolerance

default value is 0.0

type ParametricTolerance

float

param Add

default value is Standard_True

type Add

bool

rtype

None

InsertVKnot()¶

Inserts a knot value in the sequence of VKnots. If V is a knot value this method increases the multiplicity of the knot if the previous multiplicity was lower than M otherwise it does nothing. The tolerance criterion is ParametricTolerance. ParametricTolerance should be greater or equal than Resolution from package gp. //! raises if V is out of the Bounds [V1, V2] given by the methods Bounds, the criterion ParametricTolerance is used. raises if M is not in the range [1, VDegree].

param V

type V

float

param M

type M

int

param ParametricTolerance

type ParametricTolerance

float

param Add

default value is Standard_True

type Add

bool

rtype

None

InsertVKnots()¶

Inserts into the knots table for the V parametric direction of this BSpline surface: - the values of the array Knots, with their respective multiplicities, Mults. If the knot value to insert already exists in the table, its multiplicity is: - increased by M, if Add is true (the default), or - increased to M, if Add is false. The tolerance criterion used to check the equality of the knots is the larger of the values ParametricTolerance and Standard_Real::Epsilon(val), where val is the knot value to be inserted. Warning - If a given multiplicity coefficient is null, or negative, nothing is done. - The new multiplicity of a knot is limited to the degree of this BSpline surface in the corresponding parametric direction. Exceptions Standard_ConstructionError if a knot value to insert is outside the bounds of this BSpline surface in the specified parametric direction. The comparison uses the precision criterion ParametricTolerance.

param Knots

type Knots

TColStd_Array1OfReal

param Mults

type Mults

TColStd_Array1OfInteger

param ParametricTolerance

default value is 0.0

type ParametricTolerance

float

param Add

default value is Standard_True

type Add

bool

rtype

None

IsURational()¶

Returns False if for each row of weights all the weights are identical. The tolerance criterion is resolution from package gp. Example|1.0, 1.0, 1.0| if Weights = |0.5, 0.5, 0.5| returns False |2.0, 2.0, 2.0|

rtype

bool

IsVRational()¶

Returns False if for each column of weights all the weights are identical. The tolerance criterion is resolution from package gp. Examples|1.0, 2.0, 0.5| if Weights = |1.0, 2.0, 0.5| returns False |1.0, 2.0, 0.5|

rtype

bool

LastUKnotIndex()¶

Computes the Index of the UKnots which gives the last parametric value of the surface in the U direction. The UIso curve corresponding to this knot is a boundary curve of the surface.

rtype

int

LastVKnotIndex()¶

Computes the Index of the VKnots which gives the last parametric value of the surface in the V direction. The VIso curve corresponding to this knot is a boundary curve of the surface.

rtype

int

LocalD0()¶

Raised if FromUK1 = ToUK2 or FromVK1 = ToVK2.

param U

type U

float

param V

type V

float

param FromUK1

type FromUK1

int

param ToUK2

type ToUK2

int

param FromVK1

type FromVK1

int

param ToVK2

type ToVK2

int

param P

type P

gp_Pnt

rtype

None

LocalD1()¶

Raised if the local continuity of the surface is not C1 between the knots FromUK1, ToUK2 and FromVK1, ToVK2. Raised if FromUK1 = ToUK2 or FromVK1 = ToVK2.

param U

type U

float

param V

type V

float

param FromUK1

type FromUK1

int

param ToUK2

type ToUK2

int

param FromVK1

type FromVK1

int

param ToVK2

type ToVK2

int

param P

type P

gp_Pnt

param D1U

type D1U

gp_Vec

param D1V

type D1V

gp_Vec

rtype

None

LocalD2()¶

Raised if the local continuity of the surface is not C2 between the knots FromUK1, ToUK2 and FromVK1, ToVK2. Raised if FromUK1 = ToUK2 or FromVK1 = ToVK2.

param U

type U

float

param V

type V

float

param FromUK1

type FromUK1

int

param ToUK2

type ToUK2

int

param FromVK1

type FromVK1

int

param ToVK2

type ToVK2

int

param P

type P

gp_Pnt

param D1U

type D1U

gp_Vec

param D1V

type D1V

gp_Vec

param D2U

type D2U

gp_Vec

param D2V

type D2V

gp_Vec

param D2UV

type D2UV

gp_Vec

rtype

None

LocalD3()¶

Raised if the local continuity of the surface is not C3 between the knots FromUK1, ToUK2 and FromVK1, ToVK2. Raised if FromUK1 = ToUK2 or FromVK1 = ToVK2.

param U

type U

float

param V

type V

float

param FromUK1

type FromUK1

int

param ToUK2

type ToUK2

int

param FromVK1

type FromVK1

int

param ToVK2

type ToVK2

int

param P

type P

gp_Pnt

param D1U

type D1U

gp_Vec

param D1V

type D1V

gp_Vec

param D2U

type D2U

gp_Vec

param D2V

type D2V

gp_Vec

param D2UV

type D2UV

gp_Vec

param D3U

type D3U

gp_Vec

param D3V

type D3V

gp_Vec

param D3UUV

type D3UUV

gp_Vec

param D3UVV

type D3UVV

gp_Vec

rtype

None

LocalDN()¶

Raised if the local continuity of the surface is not CNu between the knots FromUK1, ToUK2 and CNv between the knots FromVK1, ToVK2. Raised if FromUK1 = ToUK2 or FromVK1 = ToVK2.

param U

type U

float

param V

type V

float

param FromUK1

type FromUK1

int

param ToUK2

type ToUK2

int

param FromVK1

type FromVK1

int

param ToVK2

type ToVK2

int

param Nu

type Nu

int

param Nv

type Nv

int

rtype

gp_Vec

LocalValue()¶

Computes the point of parameter U, V on the BSpline surface patch defines between the knots UK1 UK2, VK1, VK2. U can be out of the bounds [Knot UK1, Knot UK2] and V can be outof the bounds [Knot VK1, Knot VK2] but for the computation we only use the definition of the surface between these knot values. Raises if FromUK1 = ToUK2 or FromVK1 = ToVK2.

param U

type U

float

param V

type V

float

param FromUK1

type FromUK1

int

param ToUK2

type ToUK2

int

param FromVK1

type FromVK1

int

param ToVK2

type ToVK2

int

rtype

gp_Pnt

LocateU()¶

Locates the parametric value U in the sequence of UKnots. 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. UKnots (I1) <= U <= UKnots (I2) . if I1 = I2 U is a knot value (the tolerance criterion ParametricTolerance is used). . if I1 < 1 => U < UKnots(1) - Abs(ParametricTolerance) . if I2 > NbUKnots => U > UKnots(NbUKnots)+Abs(ParametricTolerance)

param U

type U

float

param ParametricTolerance

type ParametricTolerance

float

param I1

type I1

int

param I2

type I2

int

param WithKnotRepetition

default value is Standard_False

type WithKnotRepetition

bool

rtype

None

LocateV()¶

Locates the parametric value V 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. VKnots (I1) <= V <= VKnots (I2) . if I1 = I2 V is a knot value (the tolerance criterion ParametricTolerance is used). . if I1 < 1 => V < VKnots(1) - Abs(ParametricTolerance) . if I2 > NbVKnots => V > VKnots(NbVKnots)+Abs(ParametricTolerance) poles insertion and removing The following methods are available only if the surface is Uniform or QuasiUniform in the considered direction The knot repartition is modified.

param V

type V

float

param ParametricTolerance

type ParametricTolerance

float

param I1

type I1

int

param I2

type I2

int

param WithKnotRepetition

default value is Standard_False

type WithKnotRepetition

bool

rtype

None

static MaxDegree()¶

Returns the value of the maximum degree of the normalized B-spline basis functions in the u and v directions.

rtype

int

MovePoint()¶

Move a point with parameter U and V to P. given u,v as parameters) to reach a new position UIndex1, UIndex2, VIndex1, VIndex2: indicates the poles which can be moved if Problem in BSplineBasis calculation, no change for the curve and UFirstIndex, VLastIndex = 0 VFirstIndex, VLastIndex = 0 //! Raised if UIndex1 < UIndex2 or VIndex1 < VIndex2 or UIndex1 < 1 || UIndex1 > NbUPoles or UIndex2 < 1 || UIndex2 > NbUPoles VIndex1 < 1 || VIndex1 > NbVPoles or VIndex2 < 1 || VIndex2 > NbVPoles characteristics of the surface

param U

type U

float

param V

type V

float

param P

type P

gp_Pnt

param UIndex1

type UIndex1

int

param UIndex2

type UIndex2

int

param VIndex1

type VIndex1

int

param VIndex2

type VIndex2

int

param UFirstIndex

type UFirstIndex

int

param ULastIndex

type ULastIndex

int

param VFirstIndex

type VFirstIndex

int

param VLastIndex

type VLastIndex

int

rtype

None

NbUKnots()¶

Returns the number of knots in the U direction.

rtype

int

NbUPoles()¶

Returns number of poles in the U direction.

rtype

int

NbVKnots()¶

Returns the number of knots in the V direction.

rtype

int

NbVPoles()¶

Returns the number of poles in the V direction.

rtype

int

PeriodicNormalization()¶

returns the parameter normalized within the period if the surface is periodicotherwise does not do anything

param U

type U

float

param V

type V

float

rtype

None

Pole()¶

Returns the pole of range (UIndex, VIndex). //! Raised if UIndex < 1 or UIndex > NbUPoles or VIndex < 1 or VIndex > NbVPoles.

param UIndex

type UIndex

int

param VIndex

type VIndex

int

rtype

gp_Pnt

Poles()¶

Returns the poles of the B-spline surface. //! Raised if the length of P in the U and V direction is not equal to NbUpoles and NbVPoles.

param P

type P

TColgp_Array2OfPnt

rtype

None* Returns the poles of the B-spline surface.

rtype

TColgp_Array2OfPnt

RemoveUKnot()¶

Reduces to M the multiplicity of the knot of index Index in the U parametric direction. If M is 0, the knot is removed. With a modification of this type, the table of poles is also modified. Two different algorithms are used systematically to compute the new poles of the surface. For each pole, the distance between the pole calculated using the first algorithm and the same pole calculated using the second algorithm, is checked. If this distance is less than Tolerance it ensures that the surface is not modified by more than Tolerance. Under these conditions, the function returns true; otherwise, it returns false. A low tolerance prevents modification of the surface. A high tolerance ‘smoothes’ the surface. Exceptions Standard_OutOfRange if Index is outside the bounds of the knots table of this BSpline surface.

param Index

type Index

int

param M

type M

int

param Tolerance

type Tolerance

float

rtype

bool

RemoveVKnot()¶

Reduces to M the multiplicity of the knot of index Index in the V parametric direction. If M is 0, the knot is removed. With a modification of this type, the table of poles is also modified. Two different algorithms are used systematically to compute the new poles of the surface. For each pole, the distance between the pole calculated using the first algorithm and the same pole calculated using the second algorithm, is checked. If this distance is less than Tolerance it ensures that the surface is not modified by more than Tolerance. Under these conditions, the function returns true; otherwise, it returns false. A low tolerance prevents modification of the surface. A high tolerance ‘smoothes’ the surface. Exceptions Standard_OutOfRange if Index is outside the bounds of the knots table of this BSpline surface.

param Index

type Index

int

param M

type M

int

param Tolerance

type Tolerance

float

rtype

bool

Resolution()¶

Computes two tolerance values for this BSpline surface, based on the given tolerance in 3D space Tolerance3D. The tolerances computed are: - UTolerance in the u parametric direction, and - VTolerance in the v parametric direction. If f(u,v) is the equation of this BSpline surface, UTolerance and VTolerance guarantee that| u1 - u0 | < UTolerance and | v1 - v0 | < VTolerance ====> |f (u1,v1) - f (u0,v0)| < Tolerance3D

param Tolerance3D

type Tolerance3D

float

param UTolerance

type UTolerance

float

param VTolerance

type VTolerance

float

rtype

None

Segment()¶

Segments the surface between U1 and U2 in the U-Direction. between V1 and V2 in the V-Direction. The control points are modified, the first and the last point are not the same. //! Parameters theUTolerance, theVTolerance define the possible proximity along the correponding direction of the segment boundaries and B-spline knots to treat them as equal. //! WarningsEven 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 surface <self> or if the surface makes loop. raises if U2 < U1 or V2 < V1. Standard_DomainError if U2 - U1 exceeds the uperiod for uperiodic surfaces. i.e. ((U2 - U1) - UPeriod) > Precision::PConfusion(). Standard_DomainError if V2 - V1 exceeds the vperiod for vperiodic surfaces. i.e. ((V2 - V1) - VPeriod) > Precision::PConfusion()).

param U1

type U1

float

param U2

type U2

float

param V1

type V1

float

param V2

type V2

float

param theUTolerance

default value is Precision::Confusion()

type theUTolerance

float

param theVTolerance

default value is Precision::Confusion()

type theVTolerance

float

rtype

None

SetPole()¶

Substitutes the pole of range (UIndex, VIndex) with P. If the surface is rational the weight of range (UIndex, VIndex) is not modified. //! Raised if UIndex < 1 or UIndex > NbUPoles or VIndex < 1 or VIndex > NbVPoles.

param UIndex

type UIndex

int

param VIndex

type VIndex

int

param P

type P

gp_Pnt

rtype

None* Substitutes the pole and the weight of range (UIndex, VIndex) with P and W. //! Raised if UIndex < 1 or UIndex > NbUPoles or VIndex < 1 or VIndex > NbVPoles. Raised if Weight <= Resolution from package gp.

param UIndex

type UIndex

int

param VIndex

type VIndex

int

param P

type P

gp_Pnt

param Weight

type Weight

float

rtype

None

SetPoleCol()¶

Changes a column of poles or a part of this column. Raised if Vindex < 1 or VIndex > NbVPoles. //! Raised if CPoles.Lower() < 1 or CPoles.Upper() > NbUPoles.

param VIndex

type VIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

rtype

None* Changes a column of poles or a part of this column with the corresponding weights. If the surface was rational it can become non rational. If the surface was non rational it can become rational. Raised if Vindex < 1 or VIndex > NbVPoles. //! Raised if CPoles.Lower() < 1 or CPoles.Upper() > NbUPoles Raised if the bounds of CPoleWeights are not the same as the bounds of CPoles. Raised if one of the weight value of CPoleWeights is lower or equal to Resolution from package gp.

param VIndex

type VIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

param CPoleWeights

type CPoleWeights

TColStd_Array1OfReal

rtype

None

SetPoleRow()¶

Changes a row of poles or a part of this row with the corresponding weights. If the surface was rational it can become non rational. If the surface was non rational it can become rational. Raised if Uindex < 1 or UIndex > NbUPoles. //! Raised if CPoles.Lower() < 1 or CPoles.Upper() > NbVPoles raises if the bounds of CPoleWeights are not the same as the bounds of CPoles. Raised if one of the weight value of CPoleWeights is lower or equal to Resolution from package gp.

param UIndex

type UIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

param CPoleWeights

type CPoleWeights

TColStd_Array1OfReal

rtype

None* Changes a row of poles or a part of this row. Raised if Uindex < 1 or UIndex > NbUPoles. //! Raised if CPoles.Lower() < 1 or CPoles.Upper() > NbVPoles.

param UIndex

type UIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

rtype

None

SetUKnot()¶

Substitutes the UKnots of range UIndex with K. //! Raised if UIndex < 1 or UIndex > NbUKnots //! Raised if K >= UKnots(UIndex+1) or K <= UKnots(UIndex-1)

param UIndex

type UIndex

int

param K

type K

float

rtype

None* Changes the value of the UKnots of range UIndex and increases its multiplicity. //! Raised if UIndex is not in the range [FirstUKnotIndex, LastUKnotIndex] given by the methods with the same name. //! Raised if K >= UKnots(UIndex+1) or K <= UKnots(UIndex-1) M must be lower than UDegree and greater than the previous multiplicity of the knot of range UIndex.

param UIndex

type UIndex

int

param K

type K

float

param M

type M

int

rtype

None

SetUKnots()¶

Changes all the U-knots of the surface. The multiplicity of the knots are not modified. //! Raised if there is an index such that UK (Index+1) <= UK (Index). //! Raised if UK.Lower() < 1 or UK.Upper() > NbUKnots

param UK

type UK

TColStd_Array1OfReal

rtype

None

SetUNotPeriodic()¶

Sets the surface U not periodic. Changes this BSpline surface into a non-periodic surface along U direction. If this surface is already non-periodic, it is not modified. Note: the poles and knots tables are modified.

rtype

None

SetUOrigin()¶

Assigns the knot of index Index in the knots table in the corresponding parametric direction to be the origin of this periodic BSpline surface. As a consequence, the knots and poles tables are modified. Exceptions Standard_NoSuchObject if this BSpline surface is not periodic in the given parametric direction. Standard_DomainError if Index is outside the bounds of the knots table in the given parametric direction.

param Index

type Index

int

rtype

None

SetUPeriodic()¶

Sets the surface U periodic. Modifies this surface to be periodic in the U parametric direction. To become periodic in a given parametric direction a surface must be closed in that parametric direction, and the knot sequence relative to that direction must be periodic. To generate this periodic sequence of knots, the functions FirstUKnotIndex and LastUKnotIndex are used to compute I1 and I2. These are the indexes, in the knot array associated with the given parametric direction, of the knots that correspond to the first and last parameters of this BSpline surface in the given parametric direction. Hence the period is: Knots(I1) - Knots(I2) As a result, the knots and poles tables are modified. Exceptions Standard_ConstructionError if the surface is not closed in the given parametric direction.

rtype

None

SetVKnot()¶

Substitutes the VKnots of range VIndex with K. //! Raised if VIndex < 1 or VIndex > NbVKnots //! Raised if K >= VKnots(VIndex+1) or K <= VKnots(VIndex-1)

param VIndex

type VIndex

int

param K

type K

float

rtype

None* Changes the value of the VKnots of range VIndex and increases its multiplicity. //! Raised if VIndex is not in the range [FirstVKnotIndex, LastVKnotIndex] given by the methods with the same name. //! Raised if K >= VKnots(VIndex+1) or K <= VKnots(VIndex-1) M must be lower than VDegree and greater than the previous multiplicity of the knot of range VIndex.

param VIndex

type VIndex

int

param K

type K

float

param M

type M

int

rtype

None

SetVKnots()¶

Changes all the V-knots of the surface. The multiplicity of the knots are not modified. //! Raised if there is an index such that VK (Index+1) <= VK (Index). //! Raised if VK.Lower() < 1 or VK.Upper() > NbVKnots

param VK

type VK

TColStd_Array1OfReal

rtype

None

SetVNotPeriodic()¶

Sets the surface V not periodic. Changes this BSpline surface into a non-periodic surface along V direction. If this surface is already non-periodic, it is not modified. Note: the poles and knots tables are modified.

rtype

None

SetVOrigin()¶

Assigns the knot of index Index in the knots table in the corresponding parametric direction to be the origin of this periodic BSpline surface. As a consequence, the knots and poles tables are modified. Exceptions Standard_NoSuchObject if this BSpline surface is not periodic in the given parametric direction. Standard_DomainError if Index is outside the bounds of the knots table in the given parametric direction.

param Index

type Index

int

rtype

None

SetVPeriodic()¶

Sets the surface V periodic. Modifies this surface to be periodic in the V parametric direction. To become periodic in a given parametric direction a surface must be closed in that parametric direction, and the knot sequence relative to that direction must be periodic. To generate this periodic sequence of knots, the functions FirstVKnotIndex and LastVKnotIndex are used to compute I1 and I2. These are the indexes, in the knot array associated with the given parametric direction, of the knots that correspond to the first and last parameters of this BSpline surface in the given parametric direction. Hence the period is: Knots(I1) - Knots(I2) As a result, the knots and poles tables are modified. Exceptions Standard_ConstructionError if the surface is not closed in the given parametric direction.

rtype

None

SetWeight()¶

Changes the weight of the pole of range UIndex, VIndex. If the surface was non rational it can become rational. If the surface was rational it can become non rational. //! Raised if UIndex < 1 or UIndex > NbUPoles or VIndex < 1 or VIndex > NbVPoles //! Raised if weight is lower or equal to Resolution from package gp

param UIndex

type UIndex

int

param VIndex

type VIndex

int

param Weight

type Weight

float

rtype

None

SetWeightCol()¶

Changes a column of weights of a part of this column. //! Raised if VIndex < 1 or VIndex > NbVPoles //! Raised if CPoleWeights.Lower() < 1 or CPoleWeights.Upper() > NbUPoles. Raised if a weight value is lower or equal to Resolution from package gp.

param VIndex

type VIndex

int

param CPoleWeights

type CPoleWeights

TColStd_Array1OfReal

rtype

None

SetWeightRow()¶

Changes a row of weights or a part of this row. //! Raised if UIndex < 1 or UIndex > NbUPoles //! Raised if CPoleWeights.Lower() < 1 or CPoleWeights.Upper() > NbVPoles. Raised if a weight value is lower or equal to Resolution from package gp.

param UIndex

type UIndex

int

param CPoleWeights

type CPoleWeights

TColStd_Array1OfReal

rtype

None

UDegree()¶

Returns the degree of the normalized B-splines Ni,n in the U direction.

rtype

int

UIso()¶

Computes the U isoparametric curve. A B-spline curve is returned.

param U

type U

float

rtype

opencascade::handle<Geom_Curve>* Computes the U isoparametric curve. If CheckRational=False, no try to make it non-rational. A B-spline curve is returned.

param U

type U

float

param CheckRational

type CheckRational

bool

rtype

opencascade::handle<Geom_Curve>

UKnot()¶

Returns the Knot value of range UIndex. Raised if UIndex < 1 or UIndex > NbUKnots

param UIndex

type UIndex

int

rtype

float

UKnotDistribution()¶

Returns NonUniform or Uniform or QuasiUniform or PiecewiseBezier. If all the knots differ by a positive constant from the preceding knot in the U direction the B-spline surface 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 otherwise the surface is non uniform in the U direction The tolerance criterion is Resolution from package gp.

rtype

GeomAbs_BSplKnotDistribution

UKnotSequence()¶

Returns the uknots sequence. In this sequence the knots with a multiplicity greater than 1 are repeated. ExampleKu = {k1, k1, k1, k2, k3, k3, k4, k4, k4} //! Raised if the length of Ku is not equal to NbUPoles + UDegree + 1

param Ku

type Ku

TColStd_Array1OfReal

rtype

None* Returns the uknots sequence. In this sequence the knots with a multiplicity greater than 1 are repeated. Example : Ku = {k1, k1, k1, k2, k3, k3, k4, k4, k4}

rtype

TColStd_Array1OfReal

UKnots()¶

Returns the knots in the U direction. //! Raised if the length of Ku is not equal to the number of knots in the U direction.

param Ku

type Ku

TColStd_Array1OfReal

rtype

None* Returns the knots in the U direction.

rtype

TColStd_Array1OfReal

UMultiplicities()¶

Returns the multiplicities of the knots in the U direction. //! Raised if the length of Mu is not equal to the number of knots in the U direction.

param Mu

type Mu

TColStd_Array1OfInteger

rtype

None* Returns the multiplicities of the knots in the U direction.

rtype

TColStd_Array1OfInteger

UMultiplicity()¶

Returns the multiplicity value of knot of range UIndex in the u direction. Raised if UIndex < 1 or UIndex > NbUKnots.

param UIndex

type UIndex

int

rtype

int

VDegree()¶

Returns the degree of the normalized B-splines Ni,d in the V direction.

rtype

int

VIso()¶

Computes the V isoparametric curve. A B-spline curve is returned.

param V

type V

float

rtype

opencascade::handle<Geom_Curve>* Computes the V isoparametric curve. If CheckRational=False, no try to make it non-rational. A B-spline curve is returned. transformations

param V

type V

float

param CheckRational

type CheckRational

bool

rtype

opencascade::handle<Geom_Curve>

VKnot()¶

Returns the Knot value of range VIndex. Raised if VIndex < 1 or VIndex > NbVKnots

param VIndex

type VIndex

int

rtype

float

VKnotDistribution()¶

Returns NonUniform or Uniform or QuasiUniform or PiecewiseBezier. If all the knots differ by a positive constant from the preceding knot in the V direction the B-spline surface 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 otherwise the surface is non uniform in the V direction. The tolerance criterion is Resolution from package gp.

rtype

GeomAbs_BSplKnotDistribution

VKnotSequence()¶

Returns the vknots sequence. In this sequence the knots with a multiplicity greater than 1 are repeated. ExampleKv = {k1, k1, k1, k2, k3, k3, k4, k4, k4} //! Raised if the length of Kv is not equal to NbVPoles + VDegree + 1

param Kv

type Kv

TColStd_Array1OfReal

rtype

None* Returns the vknots sequence. In this sequence the knots with a multiplicity greater than 1 are repeated. Example : Ku = {k1, k1, k1, k2, k3, k3, k4, k4, k4}

rtype

TColStd_Array1OfReal

VKnots()¶

Returns the knots in the V direction. //! Raised if the length of Kv is not equal to the number of knots in the V direction.

param Kv

type Kv

TColStd_Array1OfReal

rtype

None* Returns the knots in the V direction.

rtype

TColStd_Array1OfReal

VMultiplicities()¶

Returns the multiplicities of the knots in the V direction. //! Raised if the length of Mv is not equal to the number of knots in the V direction.

param Mv

type Mv

TColStd_Array1OfInteger

rtype

None* Returns the multiplicities of the knots in the V direction.

rtype

TColStd_Array1OfInteger

VMultiplicity()¶

Returns the multiplicity value of knot of range VIndex in the v direction. Raised if VIndex < 1 or VIndex > NbVKnots

param VIndex

type VIndex

int

rtype

int

Weight()¶

Returns the weight value of range UIndex, VIndex. //! Raised if UIndex < 1 or UIndex > NbUPoles or VIndex < 1 or VIndex > NbVPoles.

param UIndex

type UIndex

int

param VIndex

type VIndex

int

rtype

float

Weights()¶

Returns the weights of the B-spline surface. //! Raised if the length of W in the U and V direction is not equal to NbUPoles and NbVPoles.

param W

type W

TColStd_Array2OfReal

rtype

None* Returns the weights of the B-spline surface. value and derivatives computation

rtype

TColStd_Array2OfReal *

property thisown¶: The membership flag

class Geom_BezierCurve(*args)¶

Bases: OCC.Core.Geom.Geom_BoundedCurve

Creates a non rational Bezier curve with a set of poles CurvePoles. The weights are defaulted to all being 1. Raises ConstructionError if the number of poles is greater than MaxDegree + 1 or lower than 2.

param CurvePoles

type CurvePoles

TColgp_Array1OfPnt

rtype

None* Creates a rational Bezier curve with the set of poles CurvePoles and the set of weights PoleWeights . If all the weights are identical the curve is considered as non rational. Raises ConstructionError if the number of poles is greater than MaxDegree + 1 or lower than 2 or CurvePoles and CurveWeights have not the same length or one weight value is lower or equal to Resolution from package gp.

param CurvePoles

type CurvePoles

TColgp_Array1OfPnt

param PoleWeights

type PoleWeights

TColStd_Array1OfReal

rtype

None

Degree()¶

Returns the polynomial degree of the curve. it is the number of poles - 1 point P and derivatives (V1, V2, V3) computation The Bezier Curve has a Polynomial representation so the parameter U can be out of the bounds of the curve.

rtype

int

static DownCast(t)¶

Increase()¶

Increases the degree of a bezier curve. Degree is the new degree of <self>. Raises ConstructionError if Degree is greater than MaxDegree or lower than 2 or lower than the initial degree of <self>.

param Degree

type Degree

int

rtype

None

InsertPoleAfter()¶

Inserts a pole P after the pole of range Index. If the curve <self> is rational the weight value for the new pole of range Index is 1.0. raised if Index is not in the range [1, NbPoles] //! raised if the resulting number of poles is greater than MaxDegree + 1.

param Index

type Index

int

param P

type P

gp_Pnt

rtype

None* Inserts a pole with its weight in the set of poles after the pole of range Index. If the curve was non rational it can become rational if all the weights are not identical. Raised if Index is not in the range [1, NbPoles] //! Raised if the resulting number of poles is greater than MaxDegree + 1. Raised if Weight is lower or equal to Resolution from package gp.

param Index

type Index

int

param P

type P

gp_Pnt

param Weight

type Weight

float

rtype

None

InsertPoleBefore()¶

Inserts a pole P before the pole of range Index. If the curve <self> is rational the weight value for the new pole of range Index is 1.0. Raised if Index is not in the range [1, NbPoles] //! Raised if the resulting number of poles is greater than MaxDegree + 1.

param Index

type Index

int

param P

type P

gp_Pnt

rtype

None* Inserts a pole with its weight in the set of poles after the pole of range Index. If the curve was non rational it can become rational if all the weights are not identical. Raised if Index is not in the range [1, NbPoles] //! Raised if the resulting number of poles is greater than MaxDegree + 1. Raised if Weight is lower or equal to Resolution from package gp.

param Index

type Index

int

param P

type P

gp_Pnt

param Weight

type Weight

float

rtype

None

IsRational()¶

Returns false if all the weights are identical. The tolerance criterion is Resolution from package gp.

rtype

bool

static MaxDegree()¶

Returns the value of the maximum polynomial degree of any Geom_BezierCurve curve. This value is 25.

rtype

int

NbPoles()¶

Returns the number of poles of this Bezier curve.

rtype

int

Pole()¶

Returns the pole of range Index. Raised if Index is not in the range [1, NbPoles]

param Index

type Index

int

rtype

gp_Pnt

Poles()¶

Returns all the poles of the curve. //! Raised if the length of P is not equal to the number of poles.

param P

type P

TColgp_Array1OfPnt

rtype

None* Returns all the poles of the curve.

rtype

TColgp_Array1OfPnt

RemovePole()¶

Removes the pole of range Index. If the curve was rational it can become non rational. Raised if Index is not in the range [1, NbPoles] Raised if Degree is lower than 2.

param Index

type Index

int

rtype

None

Resolution()¶

Computes for this Bezier curve the parametric tolerance UTolerance for a given 3D tolerance Tolerance3D. If f(t) is the equation of this Bezier curve, UTolerance ensures that: |t1-t0| < UTolerance ===> |f(t1)-f(t0)| < Tolerance3D

param Tolerance3D

type Tolerance3D

float

param UTolerance

type UTolerance

float

rtype

None

Segment()¶

Segments the curve between U1 and U2 which can be out of the bounds of the curve. The curve is oriented from U1 to U2. The control points are modified, the first and the last point are not the same but the parametrization range is [0, 1] else it could not be a Bezier curve. WarningsEven 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.

param U1

type U1

float

param U2

type U2

float

rtype

None

SetPole()¶

Substitutes the pole of range index with P. If the curve <self> is rational the weight of range Index is not modified. raiseD if Index is not in the range [1, NbPoles]

param Index

type Index

int

param P

type P

gp_Pnt

rtype

None* Substitutes the pole and the weights of range Index. If the curve <self> is not rational it can become rational if all the weights are not identical. If the curve was rational it can become non rational if all the weights are identical. Raised if Index is not in the range [1, NbPoles] Raised if Weight <= Resolution from package gp

param Index

type Index

int

param P

type P

gp_Pnt

param Weight

type Weight

float

rtype

None

SetWeight()¶

Changes the weight of the pole of range Index. If the curve <self> is not rational it can become rational if all the weights are not identical. If the curve was rational it can become non rational if all the weights are identical. Raised if Index is not in the range [1, NbPoles] Raised if Weight <= Resolution from package gp

param Index

type Index

int

param Weight

type Weight

float

rtype

None

Weight()¶

Returns the weight of range Index. Raised if Index is not in the range [1, NbPoles]

param Index

type Index

int

rtype

float

Weights()¶

Returns all the weights of the curve. //! Raised if the length of W is not equal to the number of poles.

param W

type W

TColStd_Array1OfReal

rtype

None* Returns all the weights of the curve.

rtype

TColStd_Array1OfReal *

property thisown¶: The membership flag

class Geom_BezierSurface(*args)¶

Bases: OCC.Core.Geom.Geom_BoundedSurface

Creates a non-rational Bezier surface with a set of poles. Control points representationSPoles(Uorigin,Vorigin) ……………….SPoles(Uorigin,Vend) . . . . SPoles(Uend, Vorigin) …………………SPoles(Uend, Vend) For the double array the row indice corresponds to the parametric U direction and the columns indice corresponds to the parametric V direction. The weights are defaulted to all being 1. //! Raised if the number of poles of the surface is lower than 2 or greater than MaxDegree + 1 in one of the two directions U or V.

param SurfacePoles

type SurfacePoles

TColgp_Array2OfPnt

rtype

None* —Purpose Creates a rational Bezier surface with a set of poles and a set of weights. For the double array the row indice corresponds to the parametric U direction and the columns indice corresponds to the parametric V direction. If all the weights are identical the surface is considered as non-rational (the tolerance criterion is Resolution from package gp). //! Raised if SurfacePoles and PoleWeights have not the same Rowlength or have not the same ColLength. Raised if PoleWeights (i, j) <= Resolution from gp; Raised if the number of poles of the surface is lower than 2 or greater than MaxDegree + 1 in one of the two directions U or V.

param SurfacePoles

type SurfacePoles

TColgp_Array2OfPnt

param PoleWeights

type PoleWeights

TColStd_Array2OfReal

rtype

None

static DownCast(t)¶

ExchangeUV()¶

Exchanges the direction U and V on a Bezier surface As a consequence: - the poles and weights tables are transposed, - degrees, rational characteristics and so on are exchanged between the two parametric directions, and - the orientation of the surface is reversed.

rtype

None

Increase()¶

Increases the degree of this Bezier surface in the two parametric directions. //! Raised if UDegree < UDegree <self> or VDegree < VDegree <self> Raised if the degree of the surface is greater than MaxDegree in one of the two directions U or V.

param UDeg

type UDeg

int

param VDeg

type VDeg

int

rtype

None

InsertPoleColAfter()¶

Inserts a column of poles. If the surface is rational the weights values associated with CPoles are equal defaulted to 1. //! Raised if Vindex < 1 or VIndex > NbVPoles. //! raises if VDegree is greater than MaxDegree. raises if the Length of CPoles is not equal to NbUPoles

param VIndex

type VIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

rtype

None* Inserts a column of poles and weights. If the surface was non-rational it can become rational. //! Raised if Vindex < 1 or VIndex > NbVPoles. Raised if . VDegree is greater than MaxDegree. . the Length of CPoles is not equal to NbUPoles . a weight value is lower or equal to Resolution from package gp

param VIndex

type VIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

param CPoleWeights

type CPoleWeights

TColStd_Array1OfReal

rtype

None

InsertPoleColBefore()¶

Inserts a column of poles. If the surface is rational the weights values associated with CPoles are equal defaulted to 1. //! Raised if Vindex < 1 or VIndex > NbVPoles. //! Raised if VDegree is greater than MaxDegree. Raised if the Length of CPoles is not equal to NbUPoles

param VIndex

type VIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

rtype

None* Inserts a column of poles and weights. If the surface was non-rational it can become rational. //! Raised if Vindex < 1 or VIndex > NbVPoles. Raised if : . VDegree is greater than MaxDegree. . the Length of CPoles is not equal to NbUPoles . a weight value is lower or equal to Resolution from package gp

param VIndex

type VIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

param CPoleWeights

type CPoleWeights

TColStd_Array1OfReal

rtype

None

InsertPoleRowAfter()¶

Inserts a row of poles. If the surface is rational the weights values associated with CPoles are equal defaulted to 1. //! Raised if Uindex < 1 or UIndex > NbUPoles. //! Raised if UDegree is greater than MaxDegree. Raised if the Length of CPoles is not equal to NbVPoles

param UIndex

type UIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

rtype

None* Inserts a row of poles and weights. If the surface was non-rational it can become rational. //! Raised if Uindex < 1 or UIndex > NbUPoles. Raised if : . UDegree is greater than MaxDegree. . the Length of CPoles is not equal to NbVPoles . a weight value is lower or equal to Resolution from package gp

param UIndex

type UIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

param CPoleWeights

type CPoleWeights

TColStd_Array1OfReal

rtype

None

InsertPoleRowBefore()¶

Inserts a row of poles. If the surface is rational the weights values associated with CPoles are equal defaulted to 1. //! Raised if Uindex < 1 or UIndex > NbUPoles. //! Raised if UDegree is greater than MaxDegree. Raised if the Length of CPoles is not equal to NbVPoles

param UIndex

type UIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

rtype

None* Inserts a row of poles and weights. If the surface was non-rational it can become rational. //! Raised if Uindex < 1 or UIndex > NbUPoles. Raised if : . UDegree is greater than MaxDegree. . the Length of CPoles is not equal to NbVPoles . a weight value is lower or equal to Resolution from pacakage gp

param UIndex

type UIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

param CPoleWeights

type CPoleWeights

TColStd_Array1OfReal

rtype

None

IsURational()¶

Returns False if the weights are identical in the U direction, The tolerance criterion is Resolution from package gp. Example|1.0, 1.0, 1.0| if Weights = |0.5, 0.5, 0.5| returns False |2.0, 2.0, 2.0|

rtype

bool

IsVRational()¶

Returns False if the weights are identical in the V direction, The tolerance criterion is Resolution from package gp. Example|1.0, 2.0, 0.5| if Weights = |1.0, 2.0, 0.5| returns False |1.0, 2.0, 0.5|

rtype

bool

static MaxDegree()¶

Returns the value of the maximum polynomial degree of a Bezier surface. This value is 25.

rtype

int

NbUPoles()¶

Returns the number of poles in the U direction.

rtype

int

NbVPoles()¶

Returns the number of poles in the V direction.

rtype

int

Pole()¶

Returns the pole of range UIndex, VIndex Raised if UIndex < 1 or UIndex > NbUPoles, or VIndex < 1 or VIndex > NbVPoles.

param UIndex

type UIndex

int

param VIndex

type VIndex

int

rtype

gp_Pnt

Poles()¶

Returns the poles of the Bezier surface. //! Raised if the length of P in the U an V direction is not equal to NbUPoles and NbVPoles.

param P

type P

TColgp_Array2OfPnt

rtype

None* Returns the poles of the Bezier surface.

rtype

TColgp_Array2OfPnt

RemovePoleCol()¶

Removes a column of poles. If the surface was rational it can become non-rational. //! Raised if NbVPoles <= 2 after removing, a Bezier surface must have at least two columns of poles. Raised if Vindex < 1 or VIndex > NbVPoles

param VIndex

type VIndex

int

rtype

None

RemovePoleRow()¶

Removes a row of poles. If the surface was rational it can become non-rational. //! Raised if NbUPoles <= 2 after removing, a Bezier surface must have at least two rows of poles. Raised if Uindex < 1 or UIndex > NbUPoles

param UIndex

type UIndex

int

rtype

None

Resolution()¶

Computes two tolerance values for this Bezier surface, based on the given tolerance in 3D space Tolerance3D. The tolerances computed are: - UTolerance in the u parametric direction, and - VTolerance in the v parametric direction. If f(u,v) is the equation of this Bezier surface, UTolerance and VTolerance guarantee that: | u1 - u0 | < UTolerance and | v1 - v0 | < VTolerance ====> |f (u1,v1) - f (u0,v0)| < Tolerance3D

param Tolerance3D

type Tolerance3D

float

param UTolerance

type UTolerance

float

param VTolerance

type VTolerance

float

rtype

None

Segment()¶

Modifies this Bezier surface by segmenting it between U1 and U2 in the u parametric direction, and between V1 and V2 in the v parametric direction. U1, U2, V1, and V2 can be outside the bounds of this surface. - U1 and U2 isoparametric Bezier curves, segmented between V1 and V2, become the two bounds of the surface in the v parametric direction (0. and 1. u isoparametric curves). - V1 and V2 isoparametric Bezier curves, segmented between U1 and U2, become the two bounds of the surface in the u parametric direction (0. and 1. v isoparametric curves). The poles and weights tables are modified, but the degree of this surface in the u and v parametric directions does not change. U1 can be greater than U2, and V1 can be greater than V2. In these cases, the corresponding parametric direction is inverted. The orientation of the surface is inverted if one (and only one) parametric direction is inverted.

param U1

type U1

float

param U2

type U2

float

param V1

type V1

float

param V2

type V2

float

rtype

None

SetPole()¶

Modifies a pole value. If the surface is rational the weight of range (UIndex, VIndex) is not modified. //! Raised if UIndex < 1 or UIndex > NbUPoles or VIndex < 1 or VIndex > NbVPoles.

param UIndex

type UIndex

int

param VIndex

type VIndex

int

param P

type P

gp_Pnt

rtype

None* Substitutes the pole and the weight of range UIndex, VIndex. If the surface <self> is not rational it can become rational. if the surface was rational it can become non-rational. //! raises if UIndex < 1 or UIndex > NbUPoles or VIndex < 1 or VIndex > NbVPoles. Raised if Weight <= Resolution from package gp.

param UIndex

type UIndex

int

param VIndex

type VIndex

int

param P

type P

gp_Pnt

param Weight

type Weight

float

rtype

None

SetPoleCol()¶

Modifies a column of poles. The length of CPoles can be lower but not greater than NbUPoles so you can modify just a part of the column. Raised if VIndex < 1 or VIndex > NbVPoles //! Raised if CPoles.Lower() < 1 or CPoles.Upper() > NbUPoles

param VIndex

type VIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

rtype

None* Modifies a column of poles. If the surface was rational it can become non-rational If the surface was non-rational it can become rational. The length of CPoles can be lower but not greater than NbUPoles so you can modify just a part of the column. Raised if VIndex < 1 or VIndex > NbVPoles //! Raised if CPoles.Lower() < 1 or CPoles.Upper() > NbUPoles Raised if CPoleWeights and CPoles have not the same bounds. Raised if one of the weight value CPoleWeights (i) is lower or equal to Resolution from package gp.

param VIndex

type VIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

param CPoleWeights

type CPoleWeights

TColStd_Array1OfReal

rtype

None

SetPoleRow()¶

Modifies a row of poles. The length of CPoles can be lower but not greater than NbVPoles so you can modify just a part of the row. Raised if UIndex < 1 or UIndex > NbUPoles //! Raised if CPoles.Lower() < 1 or CPoles.Upper() > NbVPoles

param UIndex

type UIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

rtype

None* Modifies a row of poles and weights. If the surface was rational it can become non-rational. If the surface was non-rational it can become rational. The length of CPoles can be lower but not greater than NbVPoles so you can modify just a part of the row. Raised if UIndex < 1 or UIndex > NbUPoles //! Raised if CPoles.Lower() < 1 or CPoles.Upper() > NbVPoles Raised if CPoleWeights and CPoles have not the same bounds. Raised if one of the weight value CPoleWeights (i) is lower or equal to Resolution from gp.

param UIndex

type UIndex

int

param CPoles

type CPoles

TColgp_Array1OfPnt

param CPoleWeights

type CPoleWeights

TColStd_Array1OfReal

rtype

None

SetWeight()¶

Modifies the weight of the pole of range UIndex, VIndex. If the surface was non-rational it can become rational. If the surface was rational it can become non-rational. //! Raised if UIndex < 1 or UIndex > NbUPoles or VIndex < 1 or VIndex > NbVPoles. Raised if Weight <= Resolution from package gp.

param UIndex

type UIndex

int

param VIndex

type VIndex

int

param Weight

type Weight

float

rtype

None

SetWeightCol()¶

Modifies a column of weights. If the surface was rational it can become non-rational. If the surface was non-rational it can become rational. The length of CPoleWeights can be lower but not greater than NbUPoles. Raised if VIndex < 1 or VIndex > NbVPoles //! Raised if CPoleWeights.Lower() < 1 or CPoleWeights.Upper() > NbUPoles Raised if one of the weight value CPoleWeights (i) is lower or equal to Resolution from package gp.

param VIndex

type VIndex

int

param CPoleWeights

type CPoleWeights

TColStd_Array1OfReal

rtype

None

SetWeightRow()¶

Modifies a row of weights. If the surface was rational it can become non-rational. If the surface was non-rational it can become rational. The length of CPoleWeights can be lower but not greater than NbVPoles. Raised if UIndex < 1 or UIndex > NbUPoles //! Raised if CPoleWeights.Lower() < 1 or CPoleWeights.Upper() > NbVPoles Raised if one of the weight value CPoleWeights (i) is lower or equal to Resolution from package gp.

param UIndex

type UIndex

int

param CPoleWeights

type CPoleWeights

TColStd_Array1OfReal

rtype

None

UDegree()¶

Returns the degree of the surface in the U direction it is NbUPoles - 1

rtype

int

VDegree()¶

Returns the degree of the surface in the V direction it is NbVPoles - 1

rtype

int

Weight()¶

Returns the weight of range UIndex, VIndex //! Raised if UIndex < 1 or UIndex > NbUPoles, or VIndex < 1 or VIndex > NbVPoles.

param UIndex

type UIndex

int

param VIndex

type VIndex

int

rtype

float

Weights()¶

Returns the weights of the Bezier surface. //! Raised if the length of W in the U an V direction is not equal to NbUPoles and NbVPoles.

param W

type W

TColStd_Array2OfReal

rtype

None* Returns the weights of the Bezier surface.

rtype

TColStd_Array2OfReal *

property thisown¶: The membership flag

class Geom_BoundedCurve(*args, **kwargs)¶

Bases: OCC.Core.Geom.Geom_Curve

Empty constructor

Return type: None* Copy constructor – does nothing
Parameters: & (Standard_Transient) –
Return type: None

static DownCast(t)¶

EndPoint()¶

Returns the end point of the curve.

rtype

gp_Pnt

StartPoint()¶

Returns the start point of the curve.

rtype

gp_Pnt

property thisown¶: The membership flag

class Geom_BoundedSurface(*args, **kwargs)¶

Bases: OCC.Core.Geom.Geom_Surface

Empty constructor

Return type: None* Copy constructor – does nothing
Parameters: & (Standard_Transient) –
Return type: None

static DownCast(t)¶

property thisown¶: The membership flag

class Geom_CartesianPoint(*args)¶

Bases: OCC.Core.Geom.Geom_Point

Returns a transient copy of P.

param P

type P

gp_Pnt

rtype

None* Constructs a point defined by its three Cartesian coordinates X, Y and Z.

param X

type X

float

param Y

type Y

float

param Z

type Z

float

rtype

None

static DownCast(t)¶

SetCoord()¶

Assigns the coordinates X, Y and Z to this point.

param X

type X

float

param Y

type Y

float

param Z

type Z

float

rtype

None

SetPnt()¶

Set <self> to P.X(), P.Y(), P.Z() coordinates.

param P

type P

gp_Pnt

rtype

None

SetX()¶

Changes the X coordinate of me.

param X

type X

float

rtype

None

SetY()¶

Changes the Y coordinate of me.

param Y

type Y

float

rtype

None

SetZ()¶

Changes the Z coordinate of me.

param Z

type Z

float

rtype

None

property thisown¶: The membership flag

class Geom_Circle(*args)¶

Bases: OCC.Core.Geom.Geom_Conic

Constructs a circle by conversion of the gp_Circ circle C.

param C

type C

gp_Circ

rtype

None* Constructs a circle of radius Radius, where A2 locates the circle and defines its orientation in 3D space such that: - the center of the circle is the origin of A2, - the origin, ‘X Direction’ and ‘Y Direction’ of A2 define the plane of the circle, - A2 is the local coordinate system of the circle. Note: It is possible to create a circle where Radius is equal to 0.0. raised if Radius < 0.

param A2

type A2

gp_Ax2

param Radius

type Radius

float

rtype

None

Circ()¶

returns the non transient circle from gp with the same geometric properties as <self>.

rtype

gp_Circ

static DownCast(t)¶

Radius()¶

Returns the radius of this circle.

rtype

float

SetCirc()¶

Set <self> so that <self> has the same geometric properties as C.

param C

type C

gp_Circ

rtype

None

SetRadius()¶

Assigns the value R to the radius of this circle. Note: it is possible to have a circle with a radius equal to 0.0. Exceptions - Standard_ConstructionError if R is negative.

param R

type R

float

rtype

None

property thisown¶: The membership flag

class Geom_Conic(*args, **kwargs)¶

Bases: OCC.Core.Geom.Geom_Curve

Empty constructor

Return type: None* Copy constructor – does nothing
Parameters: & (Standard_Transient) –
Return type: None

Axis()¶

Returns the ‘main Axis’ of this conic. This axis is normal to the plane of the conic.

rtype

gp_Ax1

static DownCast(t)¶

Eccentricity()¶

Returns the eccentricity value of the conic e. e = 0 for a circle 0 < e < 1 for an ellipse (e = 0 if MajorRadius = MinorRadius) e > 1 for a hyperbola e = 1 for a parabola Exceptions Standard_DomainError in the case of a hyperbola if its major radius is null.

rtype

float

Location()¶

Returns the location point of the conic. For the circle, the ellipse and the hyperbola it is the center of the conic. For the parabola it is the Apex of the parabola.

rtype

gp_Pnt

Position()¶

Returns the local coordinates system of the conic. The main direction of the Axis2Placement is normal to the plane of the conic. The X direction of the Axis2placement is in the plane of the conic and corresponds to the origin for the conic’s parametric value u.

rtype

gp_Ax2

SetAxis()¶

Changes the orientation of the conic’s plane. The normal axis to the plane is A1. The XAxis and the YAxis are recomputed. //! raised if the A1 is parallel to the XAxis of the conic.

param A1

type A1

gp_Ax1

rtype

None

SetLocation()¶

changes the location point of the conic.

param P

type P

gp_Pnt

rtype

None

SetPosition()¶

changes the local coordinate system of the conic.

param A2

type A2

gp_Ax2

rtype

None

XAxis()¶

Returns the XAxis of the conic. This axis defines the origin of parametrization of the conic. This axis is perpendicular to the Axis of the conic. This axis and the Yaxis define the plane of the conic.

rtype

gp_Ax1

YAxis()¶

Returns the YAxis of the conic. The YAxis is perpendicular to the Xaxis. This axis and the Xaxis define the plane of the conic.

rtype

gp_Ax1

property thisown¶: The membership flag

class Geom_ConicalSurface(*args)¶

Bases: OCC.Core.Geom.Geom_ElementarySurface

A3 defines the local coordinate system of the conical surface. Ang is the conical surface semi-angle. Its absolute value is in range ]0, PI/2[. Radius is the radius of the circle Viso in the placement plane of the conical surface defined with ‘XAxis’ and ‘YAxis’. The ‘ZDirection’ of A3 defines the direction of the surface’s axis of symmetry. If the location point of A3 is the apex of the surface Radius = 0 . At the creation the parametrization of the surface is defined such that the normal Vector (N = D1U ^ D1V) is oriented towards the ‘outside region’ of the surface. //! Raised if Radius < 0.0 or Abs(Ang) < Resolution from gp or Abs(Ang) >= PI/2 - Resolution

param A3

type A3

gp_Ax3

param Ang

type Ang

float

param Radius

type Radius

float

rtype

None* Creates a ConicalSurface from a non transient Cone from package gp.

param C

type C

gp_Cone

rtype

None

Apex()¶

Computes the apex of this cone. It is on the negative side of the axis of revolution of this cone if the half-angle at the apex is positive, and on the positive side of the ‘main Axis’ if the half-angle is negative.

rtype

gp_Pnt

Coefficients()¶

Returns the coefficients of the implicit equation of the quadric in the absolute cartesian coordinate systemThese coefficients are normalized. A1.X**2 + A2.Y**2 + A3.Z**2 + 2.(B1.X.Y + B2.X.Z + B3.Y.Z) + 2.(C1.X + C2.Y + C3.Z) + D = 0.0

param A1

type A1

float

param A2

type A2

float

param A3

type A3

float

param B1

type B1

float

param B2

type B2

float

param B3

type B3

float

param C1

type C1

float

param C2

type C2

float

param C3

type C3

float

param D

type D

float

rtype

None

Cone()¶

returns a non transient cone with the same geometric properties as <self>.

rtype

gp_Cone

static DownCast(t)¶

RefRadius()¶

Returns the reference radius of this cone. The reference radius is the radius of the circle formed by the intersection of this cone and its reference plane (i.e. the plane defined by the origin, ‘X Direction’ and ‘Y Direction’ of the local coordinate system of this cone). If the apex of this cone is on the origin of the local coordinate system of this cone, the returned value is 0.

rtype

float

SemiAngle()¶

Returns the semi-angle at the apex of this cone. Attention! Semi-angle can be negative.

rtype

float

SetCone()¶

Set <self> so that <self> has the same geometric properties as C.

param C

type C

gp_Cone

rtype

None

SetRadius()¶

Changes the radius of the conical surface in the placement plane (Z = 0, V = 0). The local coordinate system is not modified. Raised if R < 0.0

param R

type R

float

rtype

None

SetSemiAngle()¶

Changes the semi angle of the conical surface. Semi-angle can be negative. Its absolute value Abs(Ang) is in range ]0,PI/2[. Raises ConstructionError if Abs(Ang) < Resolution from gp or Abs(Ang) >= PI/2 - Resolution

param Ang

type Ang

float

rtype

None

property thisown¶: The membership flag

class Geom_Curve(*args, **kwargs)¶

Bases: OCC.Core.Geom.Geom_Geometry

Empty constructor

Return type: None* Copy constructor – does nothing
Parameters: & (Standard_Transient) –
Return type: None

Continuity()¶

It is the global continuity of the curve C0only geometric continuity, C1continuity of the first derivative all along the Curve, C2continuity of the second derivative all along the Curve, C3continuity of the third derivative all along the Curve, G1tangency continuity all along the Curve, G2curvature continuity all along the Curve, CNthe order of continuity is infinite.

rtype

GeomAbs_Shape

D0()¶

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.

param U

type U

float

param P

type P

gp_Pnt

rtype

void

D1()¶

Returns the point P of parameter U and the first derivative V1. Raised if the continuity of the curve is not C1.

param U

type U

float

param P

type P

gp_Pnt

param V1

type V1

gp_Vec

rtype

void

D2()¶

Returns the point P of parameter U, the first and second derivatives V1 and V2. Raised if the continuity of the curve is not C2.

param U

type U

float

param P

type P

gp_Pnt

param V1

type V1

gp_Vec

param V2

type V2

gp_Vec

rtype

void

D3()¶

Returns the point P of parameter U, the first, the second and the third derivative. Raised if the continuity of the curve is not C3.

param U

type U

float

param P

type P

gp_Pnt

param V1

type V1

gp_Vec

param V2

type V2

gp_Vec

param V3

type V3

gp_Vec

rtype

void

DN()¶

The returned vector gives the value of the derivative for the order of derivation N. Raised if the continuity of the curve is not CN. //! Raised if the derivative cannot be computed easily. e.g. rational bspline and n > 3. Raised if N < 1.

param U

type U

float

param N

type N

int

rtype

gp_Vec

static DownCast(t)¶

FirstParameter()¶

Returns the value of the first parameter. WarningsIt can be RealFirst from package Standard if the curve is infinite

rtype

float

IsCN()¶

Returns true if the degree of continuity of this curve is at least N. Exceptions - Standard_RangeError if N is less than 0.

param N

type N

int

rtype

bool

IsClosed()¶

Returns true if the curve is closed. Some curves such as circle are always closed, others such as line are never closed (by definition). Some Curves such as OffsetCurve can be closed or not. These curves are considered as closed if the distance between the first point and the last point of the curve is lower or equal to the Resolution from package gp wich is a fixed criterion independant of the application.

rtype

bool

IsPeriodic()¶

Is the parametrization of the curve periodic ? It is possible only if the curve is closed and if the following relation is satisfiedfor each parametric value U the distance between the point P(u) and the point P (u + T) is lower or equal to Resolution from package gp, T is the period and must be a constant. There are three possibilities. the curve is never periodic by definition (SegmentLine) . the curve is always periodic by definition (Circle) . the curve can be defined as periodic (BSpline). In this case a function SetPeriodic allows you to give the shape of the curve. The general rule for this case isif a curve can be periodic or not the default periodicity set is non periodic and you have to turn (explicitly) the curve into a periodic curve if you want the curve to be periodic.

rtype

bool

LastParameter()¶

Returns the value of the last parameter. WarningsIt can be RealLast from package Standard if the curve is infinite

rtype

float

ParametricTransformation()¶

Returns a coefficient to compute the parameter on the transformed curve for the transform of the point on <self>. //! Transformed(T)->Value(U * ParametricTransformation(T)) //! is the same point as //! Value(U).Transformed(T) //! This methods returns 1. //! It can be redefined. For example on the Line.

param T

type T

gp_Trsf

rtype

float

Period()¶

Returns the period of this curve. Exceptions Standard_NoSuchObject if this curve is not periodic.

rtype

float

Reverse()¶

Changes the direction of parametrization of <self>. The ‘FirstParameter’ and the ‘LastParameter’ are not changed but the orientation of the curve is modified. If the curve is bounded 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.

rtype

void

Reversed()¶

Returns a copy of <self> reversed.

rtype

opencascade::handle<Geom_Curve>

ReversedParameter()¶

Returns the parameter on the reversed curve for the point of parameter U on <self>. //! me->Reversed()->Value(me->ReversedParameter(U)) //! is the same point as //! me->Value(U)

param U

type U

float

rtype

float

TransformedParameter()¶

Returns the parameter on the transformed curve for the transform of the point of parameter U on <self>. //! me->Transformed(T)->Value(me->TransformedParameter(U,T)) //! is the same point as //! me->Value(U).Transformed(T) //! This methods returns <U> //! It can be redefined. For example on the Line.

param U

type U

float

param T

type T

gp_Trsf

rtype

float

Value()¶

Computes the point of parameter U on <self>. 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. it is implemented with D0. //! 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.

param U

type U

float

rtype

gp_Pnt

property thisown¶: The membership flag

class Geom_CylindricalSurface(*args)¶

Bases: OCC.Core.Geom.Geom_ElementarySurface

A3 defines the local coordinate system of the cylindrical surface. The ‘ZDirection’ of A3 defines the direction of the surface’s axis of symmetry. At the creation the parametrization of the surface is defined such that the normal Vector (N = D1U ^ D1V) is oriented towards the ‘outside region’ of the surface. WarningsIt is not forbidden to create a cylindrical surface with Radius = 0.0 Raised if Radius < 0.0

param A3

type A3

gp_Ax3

param Radius

type Radius

float

rtype

None* Creates a CylindricalSurface from a non transient Cylinder from package gp.

param C

type C

gp_Cylinder

rtype

None

Coefficients()¶

Returns the coefficients of the implicit equation of the quadric in the absolute cartesian coordinate systemThese coefficients are normalized. A1.X**2 + A2.Y**2 + A3.Z**2 + 2.(B1.X.Y + B2.X.Z + B3.Y.Z) + 2.(C1.X + C2.Y + C3.Z) + D = 0.0

param A1

type A1

float

param A2

type A2

float

param A3

type A3

float

param B1

type B1

float

param B2

type B2

float

param B3

type B3

float

param C1

type C1

float

param C2

type C2

float

param C3

type C3

float

param D

type D

float

rtype

None

Cylinder()¶

returns a non transient cylinder with the same geometric properties as <self>.

rtype

gp_Cylinder

static DownCast(t)¶

Radius()¶

Returns the radius of this cylinder.

rtype

float

SetCylinder()¶

Set <self> so that <self> has the same geometric properties as C.

param C

type C

gp_Cylinder

rtype

None

SetRadius()¶

Changes the radius of the cylinder. Raised if R < 0.0

param R

type R

float

rtype

None

property thisown¶: The membership flag

class Geom_Direction(*args)¶

Bases: OCC.Core.Geom.Geom_Vector

Creates a unit vector with it 3 cartesian coordinates. //! Raised if Sqrt( X*X + Y*Y + Z*Z) <= Resolution from gp.

param X

type X

float

param Y

type Y

float

param Z

type Z

float

rtype

None* Creates a transient copy of <self>.

param V

type V

gp_Dir

rtype

None

Dir()¶

Returns the non transient direction with the same coordinates as <self>.

rtype

gp_Dir

static DownCast(t)¶

SetCoord()¶

Sets <self> to X,Y,Z coordinates. //! Raised if Sqrt( X*X + Y*Y + Z*Z) <= Resolution from gp.

param X

type X

float

param Y

type Y

float

param Z

type Z

float

rtype

None

SetDir()¶

Converts the gp_Dir unit vector V into this unit vector.

param V

type V

gp_Dir

rtype

None

SetX()¶

Changes the X coordinate of <self>. //! Raised if Sqrt( X*X + Y*Y + Z*Z) <= Resolution from gp.

param X

type X

float

rtype

None

SetY()¶

Changes the Y coordinate of <self>. //! Raised if Sqrt( X*X + Y*Y + Z*Z) <= Resolution from gp.

param Y

type Y

float

rtype

None

SetZ()¶

Changes the Z coordinate of <self>. //! Raised if Sqrt( X*X + Y*Y + Z*Z) <= Resolution from gp.

param Z

type Z

float

rtype

None

property thisown¶: The membership flag

class Geom_ElementarySurface(*args, **kwargs)¶

Bases: OCC.Core.Geom.Geom_Surface

Empty constructor

Return type: None* Copy constructor – does nothing
Parameters: & (Standard_Transient) –
Return type: None

Axis()¶

Returns the main axis of the surface (ZAxis).

rtype

gp_Ax1

static DownCast(t)¶

Location()¶

Returns the location point of the local coordinate system of the surface.

rtype

gp_Pnt

Position()¶

Returns the local coordinates system of the surface.

rtype

gp_Ax3

SetAxis()¶

Changes the main axis (ZAxis) of the elementary surface. //! Raised if the direction of A1 is parallel to the XAxis of the coordinate system of the surface.

param A1

type A1

gp_Ax1

rtype

None

SetLocation()¶

Changes the location of the local coordinates system of the surface.

param Loc

type Loc

gp_Pnt

rtype

None

SetPosition()¶

Changes the local coordinates system of the surface.

param A3

type A3

gp_Ax3

rtype

None

property thisown¶: The membership flag

class Geom_Ellipse(*args)¶

Bases: OCC.Core.Geom.Geom_Conic

Constructs an ellipse by conversion of the gp_Elips ellipse E.

param E

type E

gp_Elips

rtype

None* Constructs an ellipse defined by its major and minor radii, MajorRadius and MinorRadius, where A2 locates the ellipse and defines its orientation in 3D space such that: - the center of the ellipse is the origin of A2, - the ‘X Direction’ of A2 defines the major axis of the ellipse, i.e. the major radius MajorRadius is measured along this axis, - the ‘Y Direction’ of A2 defines the minor axis of the ellipse, i.e. the minor radius MinorRadius is measured along this axis, - A2 is the local coordinate system of the ellipse. Exceptions Standard_ConstructionError if: - MajorRadius is less than MinorRadius, or - MinorRadius is less than 0. Warning The Geom package does not prevent the construction of an ellipse where MajorRadius and MinorRadius are equal.

param A2

type A2

gp_Ax2

param MajorRadius

type MajorRadius

float

param MinorRadius

type MinorRadius

float

rtype

None

Directrix1()¶

This directrix is the line normal to the XAxis of the ellipse in the local plane (Z = 0) at a distance d = MajorRadius / e from the center of the ellipse, where e is the eccentricity of the ellipse. This line is parallel to the ‘YAxis’. The intersection point between directrix1 and the ‘XAxis’ is the ‘Location’ point of the directrix1. This point is on the positive side of the ‘XAxis’. Raised if Eccentricity = 0.0. (The ellipse degenerates into a circle)

rtype

gp_Ax1

Directrix2()¶

This line is obtained by the symmetrical transformation of ‘Directrix1’ with respect to the ‘YAxis’ of the ellipse. //! Raised if Eccentricity = 0.0. (The ellipse degenerates into a circle).

rtype

gp_Ax1

static DownCast(t)¶

Elips()¶

returns the non transient ellipse from gp with the same

rtype

gp_Elips

Focal()¶

Computes the focal distance. It is the distance between the the two focus of the ellipse.

rtype

float

Focus1()¶

Returns the first focus of the ellipse. This focus is on the positive side of the ‘XAxis’ of the ellipse.

rtype

gp_Pnt

Focus2()¶

Returns the second focus of the ellipse. This focus is on the negative side of the ‘XAxis’ of the ellipse.

rtype

gp_Pnt

MajorRadius()¶

Returns the major radius of this ellipse.

rtype

float

MinorRadius()¶

Returns the minor radius of this ellipse.

rtype

float

Parameter()¶

Returns p = (1 - e * e) * MajorRadius where e is the eccentricity of the ellipse. Returns 0 if MajorRadius = 0

rtype

float

SetElips()¶

Converts the gp_Elips ellipse E into this ellipse.

param E

type E

gp_Elips

rtype

None

SetMajorRadius()¶

Assigns a value to the major radius of this ellipse. ConstructionError raised if MajorRadius < MinorRadius.

param MajorRadius

type MajorRadius

float

rtype

None

SetMinorRadius()¶

Assigns a value to the minor radius of this ellipse. ConstructionError raised if MajorRadius < MinorRadius or if MinorRadius < 0.

param MinorRadius

type MinorRadius

float

rtype

None

property thisown¶: The membership flag

class Geom_Geometry(*args, **kwargs)¶

Bases: OCC.Core.Standard.Standard_Transient

Empty constructor

Return type: None* Copy constructor – does nothing
Parameters: & (Standard_Transient) –
Return type: None

Copy()¶

Creates a new object which is a copy of this geometric object.

rtype

opencascade::handle<Geom_Geometry>

static DownCast(t)¶

Mirror()¶

Performs the symmetrical transformation of a Geometry with respect to the point P which is the center of the symmetry.

param P

type P

gp_Pnt

rtype

None* Performs the symmetrical transformation of a Geometry with respect to an axis placement which is the axis of the symmetry.

param A1

type A1

gp_Ax1

rtype

None* Performs the symmetrical transformation of a Geometry with respect to a plane. The axis placement A2 locates the plane of the symmetry : (Location, XDirection, YDirection).

param A2

type A2

gp_Ax2

rtype

None

Mirrored()¶

Parameters

P –

type P: gp_Pnt
rtype: opencascade::handle<Geom_Geometry>:param A1:
type A1: gp_Ax1
rtype: opencascade::handle<Geom_Geometry>:param A2:
type A2: gp_Ax2
rtype: opencascade::handle<Geom_Geometry>

Rotate()¶

Rotates a Geometry. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians.

param A1

type A1

gp_Ax1

param Ang

type Ang

float

rtype

None

Rotated()¶

Parameters

A1 –

type A1: gp_Ax1
param Ang
type Ang: float
rtype: opencascade::handle<Geom_Geometry>

Scale()¶

Scales a Geometry. S is the scaling value.

param P

type P

gp_Pnt

param S

type S

float

rtype

None

Scaled()¶

Parameters

P –

type P: gp_Pnt
param S
type S: float
rtype: opencascade::handle<Geom_Geometry>

Transform()¶

Transformation of a geometric object. This tansformation can be a translation, a rotation, a symmetry, a scaling or a complex transformation obtained by combination of the previous elementaries transformations. (see class Transformation of the package Geom).

param T

type T

gp_Trsf

rtype

void

Transformed()¶

Parameters

T –

type T: gp_Trsf
rtype: opencascade::handle<Geom_Geometry>

Translate()¶

Translates a Geometry. V is the vector of the tanslation.

param V

type V

gp_Vec

rtype

None* Translates a Geometry from the point P1 to the point P2.

param P1

type P1

gp_Pnt

param P2

type P2

gp_Pnt

rtype

None

Translated()¶

Parameters

V –

type V: gp_Vec
rtype: opencascade::handle<Geom_Geometry>:param P1:
type P1: gp_Pnt
param P2
type P2: gp_Pnt
rtype: opencascade::handle<Geom_Geometry>

property thisown¶: The membership flag

class Geom_HSequenceOfBSplineSurface(*args)¶

Bases: OCC.Core.Geom.Geom_SequenceOfBSplineSurface, OCC.Core.Standard.Standard_Transient

Empty constructor

Return type: None* Copy constructor – does nothing
Parameters: & (Standard_Transient) –
Return type: None

Append()¶

ChangeSequence()¶

static DownCast(t)¶

Sequence()¶

property thisown¶: The membership flag

class Geom_Hyperbola(*args)¶

Bases: OCC.Core.Geom.Geom_Conic

Constructs a hyperbola by conversion of the gp_Hypr hyperbola H.

param H

type H

gp_Hypr

rtype

None* Constructs a hyperbola defined by its major and minor radii, MajorRadius and MinorRadius, where A2 locates the hyperbola and defines its orientation in 3D space such that: - the center of the hyperbola is the origin of A2, - the ‘X Direction’ of A2 defines the major axis of the hyperbola, i.e. the major radius MajorRadius is measured along this axis, - the ‘Y Direction’ of A2 defines the minor axis of the hyperbola, i.e. the minor radius MinorRadius is measured along this axis, - A2 is the local coordinate system of the hyperbola. Exceptions Standard_ConstructionError if: - MajorRadius is less than 0.0, - MinorRadius is less than 0.0.

param A2

type A2

gp_Ax2

param MajorRadius

type MajorRadius

float

param MinorRadius

type MinorRadius

float

rtype

None

Asymptote1()¶

In the local coordinate system of the hyperbola the equation of the hyperbola is (X*X)/(A*A) - (Y*Y)/(B*B) = 1.0 and the equation of the first asymptote is Y = (B/A)*X. Raises ConstructionError if MajorRadius = 0.0

rtype

gp_Ax1

Asymptote2()¶

In the local coordinate system of the hyperbola the equation of the hyperbola is (X*X)/(A*A) - (Y*Y)/(B*B) = 1.0 and the equation of the first asymptote is Y = -(B/A)*X. Raises ConstructionError if MajorRadius = 0.0

rtype

gp_Ax1

ConjugateBranch1()¶

This branch of hyperbola is on the positive side of the YAxis of <self>.

rtype

gp_Hypr

ConjugateBranch2()¶

This branch of hyperbola is on the negative side of the YAxis of <self>. Note: The diagram given under the class purpose indicates where these two branches of hyperbola are positioned in relation to this branch of hyperbola.

rtype

gp_Hypr

Directrix1()¶

This directrix is the line normal to the XAxis of the hyperbola in the local plane (Z = 0) at a distance d = MajorRadius / e from the center of the hyperbola, where e is the eccentricity of the hyperbola. This line is parallel to the YAxis. The intersection point between directrix1 and the XAxis is the location point of the directrix1. This point is on the positive side of the XAxis.

rtype

gp_Ax1

Directrix2()¶

This line is obtained by the symmetrical transformation of ‘directrix1’ with respect to the YAxis of the hyperbola.

rtype

gp_Ax1

static DownCast(t)¶

Focal()¶

Computes the focal distance. It is the distance between the two focus of the hyperbola.

rtype

float

Focus1()¶

Returns the first focus of the hyperbola. This focus is on the positive side of the XAxis of the hyperbola.

rtype

gp_Pnt

Focus2()¶

Returns the second focus of the hyperbola. This focus is on the negative side of the XAxis of the hyperbola.

rtype

gp_Pnt

Hypr()¶

returns the non transient parabola from gp with the same geometric properties as <self>.

rtype

gp_Hypr

MajorRadius()¶

Returns the major or minor radius of this hyperbola. The major radius is also the distance between the center of the hyperbola and the apex of the main branch (located on the ‘X Axis’ of the hyperbola).

rtype

float

MinorRadius()¶

Returns the major or minor radius of this hyperbola. The minor radius is also the distance between the center of the hyperbola and the apex of a conjugate branch (located on the ‘Y Axis’ of the hyperbola).

rtype

float

OtherBranch()¶

Computes the ‘other’ branch of this hyperbola. This is the symmetrical branch with respect to the center of this hyperbola. Note: The diagram given under the class purpose indicates where the ‘other’ branch is positioned in relation to this branch of the hyperbola.

rtype

gp_Hypr

Parameter()¶

Returns p = (e * e - 1) * MajorRadius where e is the eccentricity of the hyperbola. raised if MajorRadius = 0.0

rtype

float

SetHypr()¶

Converts the gp_Hypr hyperbola H into this hyperbola.

param H

type H

gp_Hypr

rtype

None

SetMajorRadius()¶

Assigns a value to the major radius of this hyperbola. Exceptions Standard_ConstructionError if: - MajorRadius is less than 0.0, or - MinorRadius is less than 0.0.Raised if MajorRadius < 0.0

param MajorRadius

type MajorRadius

float

rtype

None

SetMinorRadius()¶

Assigns a value to the minor radius of this hyperbola. Exceptions Standard_ConstructionError if: - MajorRadius is less than 0.0, or - MinorRadius is less than 0.0.Raised if MajorRadius < 0.0

param MinorRadius

type MinorRadius

float

rtype

None

property thisown¶: The membership flag

class Geom_Line(*args)¶

Bases: OCC.Core.Geom.Geom_Curve

Creates a line located in 3D space with the axis placement A1. The Location of A1 is the origin of the line.

param A1

type A1

gp_Ax1

rtype

None* Creates a line from a non transient line from package gp.

param L

type L

gp_Lin

rtype

None* Constructs a line passing through point P and parallel to vector V (P and V are, respectively, the origin and the unit vector of the positioning axis of the line).

param P

type P

gp_Pnt

param V

type V

gp_Dir

rtype

None

static DownCast(t)¶

Lin()¶

Returns non transient line from gp with the same geometric properties as <self>

rtype

gp_Lin

Position()¶

Returns the positioning axis of this line; this is also its local coordinate system.

rtype

gp_Ax1

SetDirection()¶

changes the direction of the line.

param V

type V

gp_Dir

rtype

None

SetLin()¶

Set <self> so that <self> has the same geometric properties as L.

param L

type L

gp_Lin

rtype

None

SetLocation()¶

changes the ‘Location’ point (origin) of the line.

param P

type P

gp_Pnt

rtype

None

SetPosition()¶

changes the ‘Location’ and a the ‘Direction’ of <self>.

param A1

type A1

gp_Ax1

rtype

None

property thisown¶: The membership flag

class Geom_OffsetCurve(*args)¶

Bases: OCC.Core.Geom.Geom_Curve

C is the basis curve, Offset is the distance between <self> and the basis curve at any point. V defines the fixed reference direction (offset direction). If P is a point on the basis curve and T the first derivative with non zero length at this point, the corresponding point on the offset curve is in the direction of the vector-product N = V ^ T where N is a unitary vector. If isNotCheckC0 = True checking if basis curve has C0-continuity is not made. WarningsIn this package the entities are not shared. The OffsetCurve is built with a copy of the curve C. So when C is modified the OffsetCurve is not modified //! Raised if the basis curve C is not at least C1. WarningsNo check is done to know if ||V^T|| != 0.0 at any point.

param C

type C

Geom_Curve

param Offset

type Offset

float

param V

type V

gp_Dir

param isNotCheckC0

default value is Standard_False

type isNotCheckC0

bool

rtype

None

BasisCurve()¶

Returns the basis curve of this offset curve. Note: The basis curve can be an offset curve.

rtype

opencascade::handle<Geom_Curve>

Direction()¶

Returns the reference vector of this offset curve. Value and derivatives WarningsThe exception UndefinedValue or UndefinedDerivative is raised if it is not possible to compute a unique offset direction. If T is the first derivative with not null length and V the offset direction the relation ||T(U) ^ V|| != 0 must be satisfied to evaluate the offset curve. No check is done at the creation time and we suppose in this package that the offset curve is well defined.

rtype

gp_Dir

static DownCast(t)¶

GetBasisCurveContinuity()¶

Returns continuity of the basis curve.

rtype

GeomAbs_Shape

Offset()¶

Returns the offset value of this offset curve.

rtype

float

SetBasisCurve()¶

Changes this offset curve by assigning C as the basis curve from which it is built. If isNotCheckC0 = True checking if basis curve has C0-continuity is not made. Exceptions Standard_ConstructionError if the curve C is not at least ‘C1’ continuous.

param C

type C

Geom_Curve

param isNotCheckC0

default value is Standard_False

type isNotCheckC0

bool

rtype

None

SetDirection()¶

Changes this offset curve by assigning V as the reference vector used to compute the offset direction.

param V

type V

gp_Dir

rtype

None

SetOffsetValue()¶

Changes this offset curve by assigning D as the offset value.

param D

type D

float

rtype

None

property thisown¶: The membership flag

class Geom_OffsetSurface(*args)¶

Bases: OCC.Core.Geom.Geom_Surface

Constructs a surface offset from the basis surface S, where Offset is the distance between the offset surface and the basis surface at any point. A point on the offset surface is built by measuring the offset value along a normal vector at a point on S. This normal vector is given by the cross product D1u^D1v, where D1u and D1v are the vectors tangential to the basis surface in the u and v parametric directions at this point. The side of S on which the offset value is measured is indicated by this normal vector if Offset is positive, or is the inverse sense if Offset is negative. If isNotCheckC0 = True checking if basis surface has C0-continuity is not made. Warnings- The offset surface is built with a copy of the surface S. Therefore, when S is modified the offset surface is not modified. - No check is made at the time of construction to detect points on S with multiple possible normal directions. Raised if S is not at least C1. WarningsNo check is done to verify that a unique normal direction is defined at any point of the basis surface S.

param S

type S

Geom_Surface

param Offset

type Offset

float

param isNotCheckC0

default value is Standard_False

type isNotCheckC0

bool

rtype

None

BasisSurface()¶

Returns the basis surface of this offset surface. Note: The basis surface can be an offset surface.

rtype

inline opencascade::handle<Geom_Surface>

static DownCast(t)¶

GetBasisSurfContinuity()¶

Returns continuity of the basis surface.

rtype

inline GeomAbs_Shape

Offset()¶

Returns the offset value of this offset surface.

rtype

inline float

OsculatingSurface()¶

Returns osculating surface if base surface is B-spline or Bezier

rtype

inline opencascade::handle<Geom_OsculatingSurface>

SetBasisSurface()¶

Raised if S is not at least C1. WarningsNo check is done to verify that a unique normal direction is defined at any point of the basis surface S. If isNotCheckC0 = True checking if basis surface has C0-continuity is not made. Exceptions Standard_ConstructionError if the surface S is not at least ‘C1’ continuous.

param S

type S

Geom_Surface

param isNotCheckC0

default value is Standard_False

type isNotCheckC0

bool

rtype

None

SetOffsetValue()¶

Changes this offset surface by assigning D as the offset value.

param D

type D

float

rtype

None

Surface()¶

returns an equivalent surface of the offset surface when the basis surface is a canonic surface or a rectangular limited surface on canonic surface or if the offset is null.

rtype

opencascade::handle<Geom_Surface>

UOsculatingSurface()¶

if Standard_True, L is the local osculating surface along U at the point U,V. It means that DL/DU is collinear to DS/DU . If IsOpposite == Standard_True these vectors have opposite direction.

param U

type U

float

param V

type V

float

param IsOpposite

type IsOpposite

bool

param UOsculSurf

type UOsculSurf

Geom_BSplineSurface

rtype

bool

VOsculatingSurface()¶

if Standard_True, L is the local osculating surface along V at the point U,V. It means that DL/DV is collinear to DS/DV . If IsOpposite == Standard_True these vectors have opposite direction.

param U

type U

float

param V

type V

float

param IsOpposite

type IsOpposite

bool

param VOsculSurf

type VOsculSurf

Geom_BSplineSurface

rtype

bool

property thisown¶: The membership flag

class Geom_OsculatingSurface(*args)¶

Bases: OCC.Core.Standard.Standard_Transient

Return type: None* detects if the surface has punctual U or V isoparametric curve along on the bounds of the surface relativly to the tolerance Tol and Builds the corresponding osculating surfaces. :param BS: :type BS: Geom_Surface :param Tol: :type Tol: float :rtype: None

BasisSurface()¶

Return type: opencascade::handle<Geom_Surface>

static DownCast(t)¶

Init()¶

Parameters

BS –

type BS: Geom_Surface
param Tol
type Tol: float
rtype: None

Tolerance()¶

Return type: float

UOscSurf()¶

if Standard_True, L is the local osculating surface along U at the point U,V.

param U

type U

float

param V

type V

float

param t

type t

bool

param L

type L

Geom_BSplineSurface

rtype

bool

VOscSurf()¶

if Standard_True, L is the local osculating surface along V at the point U,V.

param U

type U

float

param V

type V

float

param t

type t

bool

param L

type L

Geom_BSplineSurface

rtype

bool

property thisown¶: The membership flag

class Geom_Parabola(*args)¶

Bases: OCC.Core.Geom.Geom_Conic

Creates a parabola from a non transient one.

param Prb

type Prb

gp_Parab

rtype

None* Creates a parabola with its local coordinate system ‘A2’ and it’s focal length ‘Focal’. The XDirection of A2 defines the axis of symmetry of the parabola. The YDirection of A2 is parallel to the directrix of the parabola. The Location point of A2 is the vertex of the parabola Raised if Focal < 0.0

param A2

type A2

gp_Ax2

param Focal

type Focal

float

rtype

None* D is the directrix of the parabola and F the focus point. The symmetry axis (XAxis) of the parabola is normal to the directrix and pass through the focus point F, but its location point is the vertex of the parabola. The YAxis of the parabola is parallel to D and its location point is the vertex of the parabola. The normal to the plane of the parabola is the cross product between the XAxis and the YAxis.

param D

type D

gp_Ax1

param F

type F

gp_Pnt

rtype

None

Directrix()¶

Computes the directrix of this parabola. This is a line normal to the axis of symmetry, in the plane of this parabola, located on the negative side of its axis of symmetry, at a distance from the apex equal to the focal length. The directrix is returned as an axis (gp_Ax1 object), where the origin is located on the ‘X Axis’ of this parabola.

rtype

gp_Ax1

static DownCast(t)¶

Focal()¶

Computes the focal distance of this parabola The focal distance is the distance between the apex and the focus of the parabola.

rtype

float

Focus()¶

Computes the focus of this parabola. The focus is on the positive side of the ‘X Axis’ of the local coordinate system of the parabola.

rtype

gp_Pnt

Parab()¶

Returns the non transient parabola from gp with the same geometric properties as <self>.

rtype

gp_Parab

Parameter()¶

Computes the parameter of this parabola which is the distance between its focus and its directrix. This distance is twice the focal length. If P is the parameter of the parabola, the equation of the parabola in its local coordinate system is: Y**2 = 2.*P*X.

rtype

float

SetFocal()¶

Assigns the value Focal to the focal distance of this parabola. Exceptions Standard_ConstructionError if Focal is negative.

param Focal

type Focal

float

rtype

None

SetParab()¶

Converts the gp_Parab parabola Prb into this parabola.

param Prb

type Prb

gp_Parab

rtype

None

property thisown¶: The membership flag

class Geom_Plane(*args)¶

Bases: OCC.Core.Geom.Geom_ElementarySurface

Creates a plane located in 3D space with an axis placement three axis. The ‘ZDirection’ of ‘A3’ is the direction normal to the plane. The ‘Location’ point of ‘A3’ is the origin of the plane. The ‘XDirection’ and ‘YDirection’ of ‘A3’ define the directions of the U isoparametric and V isoparametric curves.

param A3

type A3

gp_Ax3

rtype

None* Creates a plane from a non transient plane from package gp.

param Pl

type Pl

gp_Pln

rtype

None* P is the ‘Location’ point or origin of the plane. V is the direction normal to the plane.

param P

type P

gp_Pnt

param V

type V

gp_Dir

rtype

None* Creates a plane from its cartesian equation : Ax + By + Cz + D = 0.0 //! Raised if Sqrt (A*A + B*B + C*C) <= Resolution from gp

param A

type A

float

param B

type B

float

param C

type C

float

param D

type D

float

rtype

None

Coefficients()¶

Computes the normalized coefficients of the plane’s cartesian equationAx + By + Cz + D = 0.0

param A

type A

float

param B

type B

float

param C

type C

float

param D

type D

float

rtype

None

static DownCast(t)¶

Pln()¶

Converts this plane into a gp_Pln plane.

rtype

gp_Pln

SetPln()¶

Set <self> so that <self> has the same geometric properties as Pl.

param Pl

type Pl

gp_Pln

rtype

None

property thisown¶: The membership flag

class Geom_Point(*args, **kwargs)¶

Bases: OCC.Core.Geom.Geom_Geometry

Empty constructor

Return type: None* Copy constructor – does nothing
Parameters: & (Standard_Transient) –
Return type: None

Coord()¶

returns the Coordinates of <self>.

param X

type X

float

param Y

type Y

float

param Z

type Z

float

rtype

void

Distance()¶

Computes the distance between <self> and <Other>.

param Other

type Other

Geom_Point

rtype

float

static DownCast(t)¶

Pnt()¶

returns a non transient copy of <self>

rtype

gp_Pnt

SquareDistance()¶

Computes the square distance between <self> and <Other>.

param Other

type Other

Geom_Point

rtype

float

X()¶

returns the X coordinate of <self>.

rtype

float

Y()¶

returns the Y coordinate of <self>.

rtype

float

Z()¶

returns the Z coordinate of <self>.

rtype

float

property thisown¶: The membership flag

class Geom_RectangularTrimmedSurface(*args)¶

Bases: OCC.Core.Geom.Geom_BoundedSurface

The U parametric direction of the surface is oriented from U1 to U2. The V parametric direction of the surface is oriented from V1 to V2. These two directions define the orientation of the surface (normal). If the surface is not periodic USense and VSense are not used for the construction. If the surface S is periodic in one direction USense and VSense give the available part of the surface. By default in this case the surface has the same orientation as the basis surface S. The returned surface is not closed and not periodic. ConstructionError Raised if S is not periodic in the UDirection and U1 or U2 are out of the bounds of S. S is not periodic in the VDirection and V1 or V2 are out of the bounds of S. U1 = U2 or V1 = V2

param S

type S

Geom_Surface

param U1

type U1

float

param U2

type U2

float

param V1

type V1

float

param V2

type V2

float

param USense

default value is Standard_True

type USense

bool

param VSense

default value is Standard_True

type VSense

bool

rtype

None* The basis surface S is only trim in one parametric direction. If UTrim = True the surface is trimmed in the U parametric direction else the surface is trimmed in the V parametric direction. In the considered parametric direction the resulting surface is oriented from Param1 to Param2. If S is periodic Sense gives the available part of the surface. By default the trimmed surface has the same orientation as the basis surface S in the considered parametric direction (Sense = True). If the basis surface S is closed or periodic in the parametric direction opposite to the trimming direction the trimmed surface has the same characteristics as the surface S in this direction. Warnings : In this package the entities are not shared. The RectangularTrimmedSurface is built with a copy of the surface S. So when S is modified the RectangularTrimmedSurface is not modified Raised if S is not periodic in the considered parametric direction and Param1 or Param2 are out of the bounds of S. Param1 = Param2

param S

type S

Geom_Surface

param Param1

type Param1

float

param Param2

type Param2

float

param UTrim

type UTrim

bool

param Sense

default value is Standard_True

type Sense

bool

rtype

None

BasisSurface()¶

Returns the Basis surface of <self>.

rtype

opencascade::handle<Geom_Surface>

static DownCast(t)¶

SetTrim()¶

Modifies this patch by changing the trim values applied to the original surface The u parametric direction of this patch is oriented from U1 to U2. The v parametric direction of this patch is oriented from V1 to V2. USense and VSense are used for the construction only if the surface is periodic in the corresponding parametric direction, and define the available part of the surface; by default in this case, this patch has the same orientation as the basis surface. Raised if The BasisSurface is not periodic in the UDirection and U1 or U2 are out of the bounds of the BasisSurface. The BasisSurface is not periodic in the VDirection and V1 or V2 are out of the bounds of the BasisSurface. U1 = U2 or V1 = V2

param U1

type U1

float

param U2

type U2

float

param V1

type V1

float

param V2

type V2

float

param USense

default value is Standard_True

type USense

bool

param VSense

default value is Standard_True

type VSense

bool

rtype

None* Modifies this patch by changing the trim values applied to the original surface The basis surface is trimmed only in one parametric direction: if UTrim is true, the surface is trimmed in the u parametric direction; if it is false, it is trimmed in the v parametric direction. In the ‘trimmed’ direction, this patch is oriented from Param1 to Param2. If the basis surface is periodic in the ‘trimmed’ direction, Sense defines its available part. By default in this case, this patch has the same orientation as the basis surface in this parametric direction. If the basis surface is closed or periodic in the other parametric direction (i.e. not the ‘trimmed’ direction), this patch has the same characteristics as the basis surface in that parametric direction. Raised if The BasisSurface is not periodic in the considered direction and Param1 or Param2 are out of the bounds of the BasisSurface. Param1 = Param2

param Param1

type Param1

float

param Param2

type Param2

float

param UTrim

type UTrim

bool

param Sense

default value is Standard_True

type Sense

bool

rtype

None

property thisown¶: The membership flag

class Geom_SequenceOfBSplineSurface(*args)¶

Bases: object

Append()¶

Assign()¶

ChangeFirst()¶

ChangeLast()¶

ChangeValue()¶

Clear()¶

Exchange()¶

First()¶

InsertAfter()¶

InsertBefore()¶

IsEmpty()¶

Last()¶

Length()¶

Lower()¶

Prepend()¶

Remove()¶

Reverse()¶

Set()¶

SetValue()¶

Size()¶

Split()¶

Upper()¶

Value()¶

begin()¶

cbegin()¶

cend()¶

static delNode()¶

end()¶

property thisown¶: The membership flag

class Geom_SphericalSurface(*args)¶

Bases: OCC.Core.Geom.Geom_ElementarySurface

A3 is the local coordinate system of the surface. At the creation the parametrization of the surface is defined such as the normal Vector (N = D1U ^ D1V) is directed away from the center of the sphere. The direction of increasing parametric value V is defined by the rotation around the ‘YDirection’ of A2 in the trigonometric sense and the orientation of increasing parametric value U is defined by the rotation around the main direction of A2 in the trigonometric sense. WarningsIt is not forbidden to create a spherical surface with Radius = 0.0 Raised if Radius < 0.0.

param A3

type A3

gp_Ax3

param Radius

type Radius

float

rtype

None* Creates a SphericalSurface from a non persistent Sphere from package gp.

param S

type S

gp_Sphere

rtype

None

Area()¶

Computes the aera of the spherical surface.

rtype

float

Coefficients()¶

Returns the coefficients of the implicit equation of the quadric in the absolute cartesian coordinates systemThese coefficients are normalized. A1.X**2 + A2.Y**2 + A3.Z**2 + 2.(B1.X.Y + B2.X.Z + B3.Y.Z) + 2.(C1.X + C2.Y + C3.Z) + D = 0.0

param A1

type A1

float

param A2

type A2

float

param A3

type A3

float

param B1

type B1

float

param B2

type B2

float

param B3

type B3

float

param C1

type C1

float

param C2

type C2

float

param C3

type C3

float

param D

type D

float

rtype

None

static DownCast(t)¶

Radius()¶

Computes the coefficients of the implicit equation of this quadric in the absolute Cartesian coordinate system: A1.X**2 + A2.Y**2 + A3.Z**2 + 2.(B1.X.Y + B2.X.Z + B3.Y.Z) + 2.(C1.X + C2.Y + C3.Z) + D = 0.0 An implicit normalization is applied (i.e. A1 = A2 = 1. in the local coordinate system of this sphere).

rtype

float

SetRadius()¶

Assigns the value R to the radius of this sphere. Exceptions Standard_ConstructionError if R is less than 0.0.

param R

type R

float

rtype

None

SetSphere()¶

Converts the gp_Sphere S into this sphere.

param S

type S

gp_Sphere

rtype

None

Sphere()¶

Returns a non persistent sphere with the same geometric properties as <self>.

rtype

gp_Sphere

Volume()¶

Computes the volume of the spherical surface.

rtype

float

property thisown¶: The membership flag

class Geom_Surface(*args, **kwargs)¶

Bases: OCC.Core.Geom.Geom_Geometry

Empty constructor

Return type: None* Copy constructor – does nothing
Parameters: & (Standard_Transient) –
Return type: None

Bounds()¶

Returns the parametric bounds U1, U2, V1 and V2 of this surface. If the surface is infinite, this function can return a value equal to Precision::Infinite: instead of Standard_Real::LastReal.

param U1

type U1

float

param U2

type U2

float

param V1

type V1

float

param V2

type V2

float

rtype

void

Continuity()¶

Returns the Global Continuity of the surface in direction U and VC0only geometric continuity, C1continuity of the first derivative all along the surface, C2continuity of the second derivative all along the surface, C3continuity of the third derivative all along the surface, G1tangency continuity all along the surface, G2curvature continuity all along the surface, CNthe order of continuity is infinite. ExampleIf the surface is C1 in the V parametric direction and C2 in the U parametric direction Shape = C1.

rtype

GeomAbs_Shape

D0()¶

Computes the point of parameter U,V on the surface. //! Raised only for an ‘OffsetSurface’ if it is not possible to compute the current point.

param U

type U

float

param V

type V

float

param P

type P

gp_Pnt

rtype

void

D1()¶

Computes the point P and the first derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C1.

param U

type U

float

param V

type V

float

param P

type P

gp_Pnt

param D1U

type D1U

gp_Vec

param D1V

type D1V

gp_Vec

rtype

void

D2()¶

Computes the point P, the first and the second derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C2.

param U

type U

float

param V

type V

float

param P

type P

gp_Pnt

param D1U

type D1U

gp_Vec

param D1V

type D1V

gp_Vec

param D2U

type D2U

gp_Vec

param D2V

type D2V

gp_Vec

param D2UV

type D2UV

gp_Vec

rtype

void

D3()¶

Computes the point P, the first,the second and the third derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C2.

param U

type U

float

param V

type V

float

param P

type P

gp_Pnt

param D1U

type D1U

gp_Vec

param D1V

type D1V

gp_Vec

param D2U

type D2U

gp_Vec

param D2V

type D2V

gp_Vec

param D2UV

type D2UV

gp_Vec

param D3U

type D3U

gp_Vec

param D3V

type D3V

gp_Vec

param D3UUV

type D3UUV

gp_Vec

param D3UVV

type D3UVV

gp_Vec

rtype

void

DN()¶

—Purpose ; Computes the derivative of order Nu in the direction U and Nv in the direction V at the point P(U, V). //! Raised if the continuity of the surface is not CNu in the U direction or not CNv in the V direction. Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.

param U

type U

float

param V

type V

float

param Nu

type Nu

int

param Nv

type Nv

int

rtype

gp_Vec

static DownCast(t)¶

IsCNu()¶

Returns the order of continuity of the surface in the U parametric direction. Raised if N < 0.

param N

type N

int

rtype

bool

IsCNv()¶

Returns the order of continuity of the surface in the V parametric direction. Raised if N < 0.

param N

type N

int

rtype

bool

IsUClosed()¶

Checks whether this surface is closed in the u parametric direction. Returns true if, in the u parametric direction: taking uFirst and uLast as the parametric bounds in the u parametric direction, for each parameter v, the distance between the points P(uFirst, v) and P(uLast, v) is less than or equal to gp::Resolution().

rtype

bool

IsUPeriodic()¶

Checks if this surface is periodic in the u parametric direction. Returns true if: - this surface is closed in the u parametric direction, and - there is a constant T such that the distance between the points P (u, v) and P (u + T, v) (or the points P (u, v) and P (u, v + T)) is less than or equal to gp::Resolution(). Note: T is the parametric period in the u parametric direction.

rtype

bool

IsVClosed()¶

Checks whether this surface is closed in the u parametric direction. Returns true if, in the v parametric direction: taking vFirst and vLast as the parametric bounds in the v parametric direction, for each parameter u, the distance between the points P(u, vFirst) and P(u, vLast) is less than or equal to gp::Resolution().

rtype

bool

IsVPeriodic()¶

Checks if this surface is periodic in the v parametric direction. Returns true if: - this surface is closed in the v parametric direction, and - there is a constant T such that the distance between the points P (u, v) and P (u + T, v) (or the points P (u, v) and P (u, v + T)) is less than or equal to gp::Resolution(). Note: T is the parametric period in the v parametric direction.

rtype

bool

ParametricTransformation()¶

Returns a 2d transformation used to find the new parameters of a point on the transformed surface. //! me->Transformed(T)->Value(U’,V’) //! is the same point as //! me->Value(U,V).Transformed(T) //! Where U’,V’ are obtained by transforming U,V with th 2d transformation returned by //! me->ParametricTransformation(T) //! This methods returns an identity transformation //! It can be redefined. For example on the Plane, Cylinder, Cone, Revolved and Extruded surfaces.

param T

type T

gp_Trsf

rtype

gp_GTrsf2d

TransformParameters()¶

Computes the parameters on the transformed surface for the transform of the point of parameters U,V on <self>. //! me->Transformed(T)->Value(U’,V’) //! is the same point as //! me->Value(U,V).Transformed(T) //! Where U’,V’ are the new values of U,V after calling //! me->TranformParameters(U,V,T) //! This methods does not change <U> and <V> //! It can be redefined. For example on the Plane, Cylinder, Cone, Revolved and Extruded surfaces.

param U

type U

float

param V

type V

float

param T

type T

gp_Trsf

rtype

void

UIso()¶

Computes the U isoparametric curve.

param U

type U

float

rtype

opencascade::handle<Geom_Curve>

UPeriod()¶

Returns the period of this surface in the u parametric direction. raises if the surface is not uperiodic.

rtype

float

UReverse()¶

Reverses the U direction of parametrization of <self>. The bounds of the surface are not modified.

rtype

void

UReversed()¶

Reverses the U direction of parametrization of <self>. The bounds of the surface are not modified. A copy of <self> is returned.

rtype

opencascade::handle<Geom_Surface>

UReversedParameter()¶

Returns the parameter on the Ureversed surface for the point of parameter U on <self>. //! me->UReversed()->Value(me->UReversedParameter(U),V) //! is the same point as //! me->Value(U,V)

param U

type U

float

rtype

float

VIso()¶

Computes the V isoparametric curve.

param V

type V

float

rtype

opencascade::handle<Geom_Curve>

VPeriod()¶

Returns the period of this surface in the v parametric direction. raises if the surface is not vperiodic.

rtype

float

VReverse()¶

Reverses the V direction of parametrization of <self>. The bounds of the surface are not modified.

rtype

void

VReversed()¶

Reverses the V direction of parametrization of <self>. The bounds of the surface are not modified. A copy of <self> is returned.

rtype

opencascade::handle<Geom_Surface>

VReversedParameter()¶

Returns the parameter on the Vreversed surface for the point of parameter V on <self>. //! me->VReversed()->Value(U,me->VReversedParameter(V)) //! is the same point as //! me->Value(U,V)

param V

type V

float

rtype

float

Value()¶

Computes the point of parameter U on the surface. //! It is implemented with D0 //! Raised only for an ‘OffsetSurface’ if it is not possible to compute the current point.

param U

type U

float

param V

type V

float

rtype

gp_Pnt

property thisown¶: The membership flag

class Geom_SurfaceOfLinearExtrusion(*args)¶

Bases: OCC.Core.Geom.Geom_SweptSurface

V is the direction of extrusion. C is the extruded curve. The form of a SurfaceOfLinearExtrusion can be. ruled surface (RuledForm), . a cylindrical surface if the extruded curve is a circle or a trimmed circle (CylindricalForm), . a plane surface if the extruded curve is a Line (PlanarForm). WarningsDegenerated surface cases are not detected. For example if the curve C is a line and V is parallel to the direction of this line.

param C

type C

Geom_Curve

param V

type V

gp_Dir

rtype

None

static DownCast(t)¶

SetBasisCurve()¶

Modifies this surface of linear extrusion by redefining its ‘basis curve’ (the ‘extruded curve’).

param C

type C

Geom_Curve

rtype

None

SetDirection()¶

Assigns V as the ‘direction of extrusion’ for this surface of linear extrusion.

param V

type V

gp_Dir

rtype

None

property thisown¶: The membership flag

class Geom_SurfaceOfRevolution(*args)¶

Bases: OCC.Core.Geom.Geom_SweptSurface

Cis the meridian or the referenced curve. A1 is the axis of revolution. The form of a SurfaceOfRevolution can be. a general revolution surface (RevolutionForm), . a conical surface if the meridian is a line or a trimmed line (ConicalForm), . a cylindrical surface if the meridian is a line or a trimmed line parallel to the revolution axis (CylindricalForm), . a planar surface if the meridian is a line perpendicular to the revolution axis of the surface (PlanarForm). . a spherical surface, . a toroidal surface, . a quadric surface. WarningsIt is not checked that the curve C is planar and that the surface axis is in the plane of the curve. It is not checked that the revolved curve C doesn’t self-intersects.

param C

type C

Geom_Curve

param A1

type A1

gp_Ax1

rtype

None

Axis()¶

Returns the revolution axis of the surface.

rtype

gp_Ax1

static DownCast(t)¶

Location()¶

Returns the location point of the axis of revolution.

rtype

gp_Pnt

ReferencePlane()¶

Computes the position of the reference plane of the surface defined by the basis curve and the symmetry axis. The location point is the location point of the revolution’s axis, the XDirection of the plane is given by the revolution’s axis and the orientation of the normal to the plane is given by the sense of revolution. //! Raised if the revolved curve is not planar or if the revolved curve and the symmetry axis are not in the same plane or if the maximum of distance between the axis and the revolved curve is lower or equal to Resolution from gp.

rtype

gp_Ax2

SetAxis()¶

Changes the axis of revolution. WarningsIt is not checked that the axis is in the plane of the revolved curve.

param A1

type A1

gp_Ax1

rtype

None

SetBasisCurve()¶

Changes the revolved curve of the surface. WarningsIt is not checked that the curve C is planar and that the surface axis is in the plane of the curve. It is not checked that the revolved curve C doesn’t self-intersects.

param C

type C

Geom_Curve

rtype

None

SetDirection()¶

Changes the direction of the revolution axis. WarningsIt is not checked that the axis is in the plane of the revolved curve.

param V

type V

gp_Dir

rtype

None

SetLocation()¶

Changes the location point of the revolution axis. WarningsIt is not checked that the axis is in the plane of the revolved curve.

param P

type P

gp_Pnt

rtype

None

property thisown¶: The membership flag

class Geom_SweptSurface(*args, **kwargs)¶

Bases: OCC.Core.Geom.Geom_Surface

Empty constructor

Return type: None* Copy constructor – does nothing
Parameters: & (Standard_Transient) –
Return type: None

BasisCurve()¶

Returns the referenced curve of the surface. For a surface of revolution it is the revolution curve, for a surface of linear extrusion it is the extruded curve.

rtype

opencascade::handle<Geom_Curve>

Direction()¶

Returns the reference direction of the swept surface. For a surface of revolution it is the direction of the revolution axis, for a surface of linear extrusion it is the direction of extrusion.

rtype

gp_Dir

static DownCast(t)¶

property thisown¶: The membership flag

class Geom_ToroidalSurface(*args)¶

Bases: OCC.Core.Geom.Geom_ElementarySurface

A3 is the local coordinate system of the surface. The orientation of increasing V parametric value is defined by the rotation around the main axis (ZAxis) in the trigonometric sense. The parametrization of the surface in the U direction is defined such as the normal Vector (N = D1U ^ D1V) is oriented towards the ‘outside region’ of the surface. WarningsIt is not forbidden to create a toroidal surface with MajorRadius = MinorRadius = 0.0 //! Raised if MinorRadius < 0.0 or if MajorRadius < 0.0

param A3

type A3

gp_Ax3

param MajorRadius

type MajorRadius

float

param MinorRadius

type MinorRadius

float

rtype

None* Creates a ToroidalSurface from a non transient Torus from package gp.

param T

type T

gp_Torus

rtype

None

Area()¶

Computes the aera of the surface.

rtype

float

Coefficients()¶

Returns the coefficients of the implicit equation of the surface in the absolute cartesian coordinate systemCoef(1) * X**4 + Coef(2) * Y**4 + Coef(3) * Z**4 + Coef(4) * X**3 * Y + Coef(5) * X**3 * Z + Coef(6) * Y**3 * X + Coef(7) * Y**3 * Z + Coef(8) * Z**3 * X + Coef(9) * Z**3 * Y + Coef(10) * X**2 * Y**2 + Coef(11) * X**2 * Z**2 + Coef(12) * Y**2 * Z**2 + Coef(13) * X**3 + Coef(14) * Y**3 + Coef(15) * Z**3 + Coef(16) * X**2 * Y + Coef(17) * X**2 * Z + Coef(18) * Y**2 * X + Coef(19) * Y**2 * Z + Coef(20) * Z**2 * X + Coef(21) * Z**2 * Y + Coef(22) * X**2 + Coef(23) * Y**2 + Coef(24) * Z**2 + Coef(25) * X * Y + Coef(26) * X * Z + Coef(27) * Y * Z + Coef(28) * X + Coef(29) * Y + Coef(30) * Z + Coef(31) = 0.0 Raised if the length of Coef is lower than 31.

param Coef

type Coef

TColStd_Array1OfReal

rtype

None

static DownCast(t)¶

MajorRadius()¶

Returns the major radius, or the minor radius, of this torus.

rtype

float

MinorRadius()¶

Returns the major radius, or the minor radius, of this torus.

rtype

float

SetMajorRadius()¶

Modifies this torus by changing its major radius. Exceptions Standard_ConstructionError if: - MajorRadius is negative, or - MajorRadius - r is less than or equal to gp::Resolution(), where r is the minor radius of this torus.

param MajorRadius

type MajorRadius

float

rtype

None

SetMinorRadius()¶

Modifies this torus by changing its minor radius. Exceptions Standard_ConstructionError if: - MinorRadius is negative, or - R - MinorRadius is less than or equal to gp::Resolution(), where R is the major radius of this torus.

param MinorRadius

type MinorRadius

float

rtype

None

SetTorus()¶

Converts the gp_Torus torus T into this torus.

param T

type T

gp_Torus

rtype

None

Torus()¶

Returns the non transient torus with the same geometric properties as <self>.

rtype

gp_Torus

Volume()¶

Computes the volume.

rtype

float

property thisown¶: The membership flag

class Geom_Transformation(*args)¶

Bases: OCC.Core.Standard.Standard_Transient

Creates an identity transformation.

rtype

None* Creates a transient copy of T.

param T

type T

gp_Trsf

rtype

None

Copy()¶

Creates a new object which is a copy of this transformation.

rtype

opencascade::handle<Geom_Transformation>

static DownCast(t)¶

Form()¶

Returns the nature of this transformation as a value of the gp_TrsfForm enumeration.

rtype

gp_TrsfForm

Invert()¶

Raised if the the transformation is singular. This means that the ScaleFactor is lower or equal to Resolution from package gp.

rtype

None

Inverted()¶

Raised if the the transformation is singular. This means that the ScaleFactor is lower or equal to Resolution from package gp.

rtype

opencascade::handle<Geom_Transformation>

IsNegative()¶

Checks whether this transformation is an indirect transformation: returns true if the determinant of the matrix of the vectorial part of the transformation is less than 0.

rtype

bool

Multiplied()¶

Computes the transformation composed with Other and <self>. <self> * Other. Returns a new transformation

param Other

type Other

Geom_Transformation

rtype

opencascade::handle<Geom_Transformation>

Multiply()¶

Computes the transformation composed with Other and <self> . <self> = <self> * Other.

param theOther

type theOther

Geom_Transformation

rtype

None

Power()¶

Computes the following composition of transformations if N > 0 <self> * <self> * …….* <self>. if N = 0 Identity if N < 0 <self>.Invert() * ………* <self>.Invert() //! Raised if N < 0 and if the transformation is not inversible

param N

type N

int

rtype

None

Powered()¶

Raised if N < 0 and if the transformation is not inversible

param N

type N

int

rtype

opencascade::handle<Geom_Transformation>

PreMultiply()¶

Computes the matrix of the transformation composed with <self> and Other. <self> = Other * <self>

param Other

type Other

Geom_Transformation

rtype

None

ScaleFactor()¶

Returns the scale value of the transformation.

rtype

float

SetMirror()¶

Makes the transformation into a symmetrical transformation with respect to a point P. P is the center of the symmetry.

param thePnt

type thePnt

gp_Pnt

rtype

None* Makes the transformation into a symmetrical transformation with respect to an axis A1. A1 is the center of the axial symmetry.

param theA1

type theA1

gp_Ax1

rtype

None* Makes the transformation into a symmetrical transformation with respect to a plane. The plane of the symmetry is defined with the axis placement A2. It is the plane (Location, XDirection, YDirection).

param theA2

type theA2

gp_Ax2

rtype

None

SetRotation()¶

Makes the transformation into a rotation. A1 is the axis rotation and Ang is the angular value of the rotation in radians.

param theA1

type theA1

gp_Ax1

param theAng

type theAng

float

rtype

None

SetScale()¶

Makes the transformation into a scale. P is the center of the scale and S is the scaling value.

param thePnt

type thePnt

gp_Pnt

param theScale

type theScale

float

rtype

None

SetTransformation()¶

Makes a transformation allowing passage from the coordinate system ‘FromSystem1’ to the coordinate system ‘ToSystem2’. ExampleIn a C++ implementationReal x1, y1, z1; // are the coordinates of a point in the // local system FromSystem1 Real x2, y2, z2; // are the coordinates of a point in the // local system ToSystem2 gp_Pnt P1 (x1, y1, z1) Geom_Transformation T; T.SetTransformation (FromSystem1, ToSystem2); gp_Pnt P2 = P1.Transformed (T); P2.Coord (x2, y2, z2);

param theFromSystem1

type theFromSystem1

gp_Ax3

param theToSystem2

type theToSystem2

gp_Ax3

rtype

None* Makes the transformation allowing passage from the basic coordinate system {P(0.,0.,0.), VX (1.,0.,0.), VY (0.,1.,0.), VZ (0., 0. ,1.) } to the local coordinate system defined with the Ax2 ToSystem. Same utilisation as the previous method. FromSystem1 is defaulted to the absolute coordinate system.

param theToSystem

type theToSystem

gp_Ax3

rtype

None

SetTranslation()¶

Makes the transformation into a translation. V is the vector of the translation.

param theVec

type theVec

gp_Vec

rtype

None* Makes the transformation into a translation from the point P1 to the point P2.

param P1

type P1

gp_Pnt

param P2

type P2

gp_Pnt

rtype

None

SetTrsf()¶

Converts the gp_Trsf transformation T into this transformation.

param theTrsf

type theTrsf

gp_Trsf

rtype

None

Transforms()¶

Applies the transformation <self> to the triplet {X, Y, Z}.

param theX

type theX

float

param theY

type theY

float

param theZ

type theZ

float

rtype

None

Trsf()¶

Returns a non transient copy of <self>.

rtype

gp_Trsf

Value()¶

Returns the coefficients of the global matrix of transformation. It is a 3 rows X 4 columns matrix. //! Raised if Row < 1 or Row > 3 or Col < 1 or Col > 4

param theRow

type theRow

int

param theCol

type theCol

int

rtype

float

property thisown¶: The membership flag

class Geom_TrimmedCurve(*args)¶

Bases: OCC.Core.Geom.Geom_BoundedCurve

Constructs a trimmed curve from the basis curve C which is limited between parameter values U1 and U2. Note: - U1 can be greater or less than U2; in both cases, the returned curve is oriented from U1 to U2. - If the basis curve C is periodic, there is an ambiguity because two parts are available. In this case, the trimmed curve has the same orientation as the basis curve if Sense is true (default value) or the opposite orientation if Sense is false. - If the curve is closed but not periodic, it is not possible to keep the part of the curve which includes the junction point (except if the junction point is at the beginning or at the end of the trimmed curve). If you tried to do this, you could alter the fundamental characteristics of the basis curve, which are used, for example, to compute the derivatives of the trimmed curve. The rules for a closed curve are therefore the same as those for an open curve. Warning: The trimmed curve is built from a copy of curve C. Therefore, when C is modified, the trimmed curve is not modified. - If the basis curve is periodic and theAdjustPeriodic is True, the bounds of the trimmed curve may be different from U1 and U2 if the parametric origin of the basis curve is within the arc of the trimmed curve. In this case, the modified parameter will be equal to U1 or U2 plus or minus the period. When theAdjustPeriodic is False, parameters U1 and U2 will be the same, without adjustment into the first period. Exceptions Standard_ConstructionError if: - C is not periodic and U1 or U2 is outside the bounds of C, or - U1 is equal to U2.

param C

type C

Geom_Curve

param U1

type U1

float

param U2

type U2

float

param Sense

default value is Standard_True

type Sense

bool

param theAdjustPeriodic

default value is Standard_True

type theAdjustPeriodic

bool

rtype

None

BasisCurve()¶

Returns the basis curve. Warning This function does not return a constant reference. Consequently, any modification of the returned value directly modifies the trimmed curve.

rtype

opencascade::handle<Geom_Curve>

static DownCast(t)¶

SetTrim()¶

Changes this trimmed curve, by redefining the parameter values U1 and U2 which limit its basis curve. Note: If the basis curve is periodic, the trimmed curve has the same orientation as the basis curve if Sense is true (default value) or the opposite orientation if Sense is false. Warning If the basis curve is periodic and theAdjustPeriodic is True, the bounds of the trimmed curve may be different from U1 and U2 if the parametric origin of the basis curve is within the arc of the trimmed curve. In this case, the modified parameter will be equal to U1 or U2 plus or minus the period. When theAdjustPeriodic is False, parameters U1 and U2 will be the same, without adjustment into the first period. Exceptions Standard_ConstructionError if: - the basis curve is not periodic, and either U1 or U2 are outside the bounds of the basis curve, or - U1 is equal to U2.

param U1

type U1

float

param U2

type U2

float

param Sense

default value is Standard_True

type Sense

bool

param theAdjustPeriodic

default value is Standard_True

type theAdjustPeriodic

bool

rtype

None

property thisown¶: The membership flag

class Geom_Vector(*args, **kwargs)¶

Bases: OCC.Core.Geom.Geom_Geometry

Empty constructor

Return type: None* Copy constructor – does nothing
Parameters: & (Standard_Transient) –
Return type: None

Angle()¶

Computes the angular value, in radians, between this vector and vector Other. The result is a value between 0 and Pi. Exceptions gp_VectorWithNullMagnitude if: - the magnitude of this vector is less than or equal to gp::Resolution(), or - the magnitude of vector Other is less than or equal to gp::Resolution().

param Other

type Other

Geom_Vector

rtype

float

AngleWithRef()¶

Computes the angular value, in radians, between this vector and vector Other. The result is a value between -Pi and Pi. The vector VRef defines the positive sense of rotation: the angular value is positive if the cross product this ^ Other has the same orientation as VRef (in relation to the plane defined by this vector and vector Other). Otherwise, it is negative. Exceptions Standard_DomainError if this vector, vector Other and vector VRef are coplanar, except if this vector and vector Other are parallel. gp_VectorWithNullMagnitude if the magnitude of this vector, vector Other or vector VRef is less than or equal to gp::Resolution().

param Other

type Other

Geom_Vector

param VRef

type VRef

Geom_Vector

rtype

float

Coord()¶

Returns the coordinates X, Y and Z of this vector.

param X

type X

float

param Y

type Y

float

param Z

type Z

float

rtype

None

Cross()¶

Computes the cross product between <self> and <Other>. //! Raised if <self> is a ‘Direction’ and if <self> and <Other> are parallel because it is not possible to build a ‘Direction’ with null length.

param Other

type Other

Geom_Vector

rtype

void

CrossCross()¶

Computes the triple vector product <self> ^(V1 ^ V2). //! Raised if <self> is a ‘Direction’ and if V1 and V2 are parallel or <self> and (V1 ^ V2) are parallel

param V1

type V1

Geom_Vector

param V2

type V2

Geom_Vector

rtype

void

CrossCrossed()¶

Computes the triple vector product <self> ^(V1 ^ V2). //! Raised if <self> is a direction and if V1 and V2 are parallel or <self> and (V1 ^ V2) are parallel

param V1

type V1

Geom_Vector

param V2

type V2

Geom_Vector

rtype

opencascade::handle<Geom_Vector>

Crossed()¶

Computes the cross product between <self> and <Other>. A new direction is returned. //! Raised if <self> is a ‘Direction’ and if the two vectors are parallel because it is not possible to create a ‘Direction’ with null length.

param Other

type Other

Geom_Vector

rtype

opencascade::handle<Geom_Vector>

Dot()¶

Computes the scalar product of this vector and vector Other.

param Other

type Other

Geom_Vector

rtype

float

DotCross()¶

Computes the triple scalar product. Returns me . (V1 ^ V2)

param V1

type V1

Geom_Vector

param V2

type V2

Geom_Vector

rtype

float

static DownCast(t)¶

Magnitude()¶

Returns the Magnitude of <self>.

rtype

float

Reverse()¶

Reverses the vector <self>.

rtype

None

Reversed()¶

Returns a copy of <self> reversed.

rtype

opencascade::handle<Geom_Vector>

SquareMagnitude()¶

Returns the square magnitude of <self>.

rtype

float

Vec()¶

Converts this vector into a gp_Vec vector.

rtype

gp_Vec

X()¶

Returns the X coordinate of <self>.

rtype

float

Y()¶

Returns the Y coordinate of <self>.

rtype

float

Z()¶

Returns the Z coordinate of <self>.

rtype

float

property thisown¶: The membership flag

class Geom_VectorWithMagnitude(*args)¶

Bases: OCC.Core.Geom.Geom_Vector

Creates a transient copy of V.

param V

type V

gp_Vec

rtype

None* Creates a vector with three cartesian coordinates.

param X

type X

float

param Y

type Y

float

param Z

type Z

float

rtype

None* Creates a vector from the point P1 to the point P2. The magnitude of the vector is the distance between P1 and P2

param P1

type P1

gp_Pnt

param P2

type P2

gp_Pnt

rtype

None

Add()¶

Adds the Vector Other to <self>.

param Other

type Other

Geom_Vector

rtype

None

Added()¶

Adds the vector Other to <self>.

param Other

type Other

Geom_Vector

rtype

opencascade::handle<Geom_VectorWithMagnitude>

Divide()¶

Divides <self> by a scalar.

param Scalar

type Scalar

float

rtype

None

Divided()¶

Divides <self> by a scalar. A new vector is returned.

param Scalar

type Scalar

float

rtype

opencascade::handle<Geom_VectorWithMagnitude>

static DownCast(t)¶

Multiplied()¶

Computes the product of the vector <self> by a scalar. A new vector is returned.

param Scalar

type Scalar

float

rtype

opencascade::handle<Geom_VectorWithMagnitude>

Multiply()¶

Computes the product of the vector <self> by a scalar.

param Scalar

type Scalar

float

rtype

None

Normalize()¶

Normalizes <self>. //! Raised if the magnitude of the vector is lower or equal to Resolution from package gp.

rtype

None

Normalized()¶

Returns a copy of <self> Normalized. //! Raised if the magnitude of the vector is lower or equal to Resolution from package gp.

rtype

opencascade::handle<Geom_VectorWithMagnitude>

SetCoord()¶

Assigns the values X, Y and Z to the coordinates of this vector.

param X

type X

float

param Y

type Y

float

param Z

type Z

float

rtype

None

SetVec()¶

Converts the gp_Vec vector V into this vector.

param V

type V

gp_Vec

rtype

None

SetX()¶

Changes the X coordinate of <self>.

param X

type X

float

rtype

None

SetY()¶

Changes the Y coordinate of <self>

param Y

type Y

float

rtype

None

SetZ()¶

Changes the Z coordinate of <self>.

param Z

type Z

float

rtype

None

Subtract()¶

Subtracts the Vector Other to <self>.

param Other

type Other

Geom_Vector

rtype

None

Subtracted()¶

Subtracts the vector Other to <self>. A new vector is returned.

param Other

type Other

Geom_Vector

rtype

opencascade::handle<Geom_VectorWithMagnitude>

property thisown¶: The membership flag

class SwigPyIterator(*args, **kwargs)¶

Bases: object

advance()¶

copy()¶

decr()¶

distance()¶

equal()¶

incr()¶

next()¶

previous()¶

property thisown¶: The membership flag

value()¶