NURBS module

G+Smo (Geometry + Simulation Modules): NURBS module

class pygismo.nurbs.gsBSpline

Bases: gsGeometry

coefDim(self: pygismo.nurbs.gsBSpline) → int

Returns the number of coefficients defining this B-Spline

degree(self: pygismo.nurbs.gsBSpline, direction: int = 0) → int

Returns the degree of the B-Spline

degreeElevate(self: pygismo.nurbs.gsBSpline, arg0: int, arg1: int) → None

Elevate the degree

domainEnd(self: pygismo.nurbs.gsBSpline) → float

Returns the right end of the domain

domainStart(self: pygismo.nurbs.gsBSpline) → float

Returns the left end of the domain

insertKnot(self: pygismo.nurbs.gsBSpline, knot: float, i: int = 1) → None

Insert a knot with multiplicity i without changing the curve

knots(*args, **kwargs)

Overloaded function.

1. knots(self: pygismo.nurbs.gsBSpline, direction: int = 0) -> pygismo.nurbs.gsKnotVector

Gets the knots

2. knots(self: pygismo.nurbs.gsBSpline, direction: int = 0) -> pygismo.nurbs.gsKnotVector

Gets the knots as a reference

numCoefs(self: pygismo.nurbs.gsBSpline) → int

Returns the number of coefficients

sample(self: pygismo.nurbs.gsBSpline, arg0: int) → numpy.ndarray[numpy.float64[m, n]]

Returns samples on the Bspline curve

class pygismo.nurbs.gsBSplineBasis

Bases: gsBasis

component(*args, **kwargs)

Overloaded function.

1. component(self: pygismo.nurbs.gsBSplineBasis, arg0: int) -> pygismo.nurbs.gsBSplineBasis

Returns the basis component as a reference

2. component(self: pygismo.nurbs.gsBSplineBasis, arg0: int) -> pygismo.nurbs.gsBSplineBasis

Returns the basis component as a const reference

dim(self: pygismo.nurbs.gsBSplineBasis) → int

Returns the dimension

eval(self: pygismo.nurbs.gsBSplineBasis, arg0: numpy.ndarray[numpy.float64[m, n]]) → numpy.ndarray[numpy.float64[m, n]]

Evaluates points into a matrix

evalSingle(self: pygismo.nurbs.gsBSplineBasis, arg0: int, arg1: numpy.ndarray[numpy.float64[m, n]]) → numpy.ndarray[numpy.float64[m, n]]

Evaluates the basis function i

evalSingle_into(self: pygismo.nurbs.gsBSplineBasis, arg0: int, arg1: numpy.ndarray[numpy.float64[m, n]], arg2: numpy.ndarray[numpy.float64[m, n]]) → None

Evaluates the basis function i

function(self: pygismo.nurbs.gsBSplineBasis, arg0: int) → pygismo.core.gsBasisFun

Returns the basis function i

knots(*args, **kwargs)

Overloaded function.

1. knots(self: pygismo.nurbs.gsBSplineBasis, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a reference

2. knots(self: pygismo.nurbs.gsBSplineBasis, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a const reference

numElements(self: pygismo.nurbs.gsBSplineBasis, arg0: pygismo.core.boxSide) → int

Returns the number of Elements

size(self: pygismo.nurbs.gsBSplineBasis) → int

Returns the size

class pygismo.nurbs.gsKnotVector

Bases: pybind11_object

check(self: pygismo.nurbs.gsKnotVector) → bool

Checks whether the knot vector is in a consistent state

degree(self: pygismo.nurbs.gsKnotVector) → int

Returns the degree of the knot vector

first(self: pygismo.nurbs.gsKnotVector) → float

Returns the first knot

get(self: pygismo.nurbs.gsKnotVector) → List[float]

Returns the knot vector data

greville(self: pygismo.nurbs.gsKnotVector) → numpy.ndarray[numpy.float64[m, n]]

Returns the Greville points

iFind(self: pygismo.nurbs.gsKnotVector, arg0: float) → __gnu_cxx::__normal_iterator<double const*, std::vector<double, std::allocator<double> > >

Returns pointer to the last occurrence of the knot at the beginning of the knot interval containing the knot

inDomain(self: pygismo.nurbs.gsKnotVector, arg0: float) → bool

Checks, whether the given value is inside the domain

insert(self: pygismo.nurbs.gsKnotVector, arg0: float, arg1: int) → None

isConsistent(self: List[float], arg0: List[int]) → bool

Sanity check

knot(self: pygismo.nurbs.gsKnotVector, arg0: int) → float

Returns the i-th knot

last(self: pygismo.nurbs.gsKnotVector) → float

Returns the last knot

multiplicities(self: pygismo.nurbs.gsKnotVector) → List[int]

Returns vector of multiplicities of the knots

numElements(self: pygismo.nurbs.gsKnotVector) → int

Returns the number of knot intervals inside the domain

size(self: pygismo.nurbs.gsKnotVector) → int

Returns the KnotVector number of knots including repetitions

uFind(self: pygismo.nurbs.gsKnotVector, arg0: float) → gismo::internal::gsUKnotIterator<double>

Returns poiter to the knot at the beginning of the knot interval containing the knot

uSize(self: pygismo.nurbs.gsKnotVector) → int

Returns the KnotVector number of knots without repetitions

uValue(self: pygismo.nurbs.gsKnotVector, arg0: int) → float

Returns the value of the i-th knot

class pygismo.nurbs.gsNurbsCreator

Bases: pybind11_object

static BSplineAmoeba(r: float = 1, x: float = 0, y: float = 0) → pygismo.nurbs.gsBSpline

static BSplineAmoeba3degree(r: float = 1, x: float = 0, y: float = 0) → pygismo.nurbs.gsBSpline

static BSplineAmoebaBig(r: float = 1, x: float = 0, y: float = 0) → pygismo.nurbs.gsBSpline

static BSplineAustria(r: float = 1, x: float = 0, y: float = 0) → pygismo.nurbs.gsBSpline

static BSplineCube(*args, **kwargs)

Overloaded function.

1. BSplineCube(arg0: float, arg1: float, arg2: float, arg3: float) -> pygismo.nurbs.gsTensorBSpline3

Cube of side  r, with lower left corner at (x,y,z)

2. BSplineCube(arg0: int) -> pygismo.nurbs.gsTensorBSpline3

The unit cube represented as a tensor B-spline of degree  deg

static BSplineCubeGrid(n: int, m: int, p: int, r: float = 1, lx: float = 0, ly: float = 0, lz: float = 0) → pygismo.core.gsMultiPatch

Creates a m n X m m X p rectangle multipatch consisting of B-splines squares with lower left corner at at (lx,ly,lz)

static BSplineE(r: float = 1, x: float = 0, y: float = 0) → pygismo.nurbs.gsBSpline

static BSplineFatCircle(r: float = 1, x: float = 0, y: float = 0) → pygismo.nurbs.gsBSpline

Inexact circle using B-splines

static BSplineFatDisk(r: float = 1, x: float = 0, y: float = 0) → pygismo.nurbs.gsTensorBSpline2

Inexact disk using B-splines

static BSplineFatQuarterAnnulus(r0: float = 0, r1: float = 1) → pygismo.nurbs.gsTensorBSpline2

Fat annulus using B-splines, discarding the weights of the exact NURBS

static BSplineFish(r: float = 1, x: float = 0, y: float = 0) → pygismo.nurbs.gsBSpline

static BSplineHalfCube(r: float = 1, x: float = 0, y: float = 0, z: float = 0) → pygismo.nurbs.gsTensorBSpline3

static BSplineLShapeMultiPatch_p2() → pygismo.core.gsMultiPatch

L-Shaped domain represented as a multipatch (3 patches) tensor B-spline of degree 2. 1. Patch is the middel part, 2. Patch is the upper part, 3 Patch is the right part.

static BSplineLShape_p1(r: float = 1) → pygismo.nurbs.gsTensorBSpline2

L-Shaped domain represented as a tensor B-spline of degree 1

static BSplineLShape_p2C0() → pygismo.nurbs.gsTensorBSpline2

L-Shaped domain represented as a tensor B-spline of degree 2, with C0-continuity across the diagonal.

static BSplineLShape_p2C1() → pygismo.nurbs.gsTensorBSpline2

L-Shaped domain represented as a tensor B-spline of degree 2, with C1-continuity and double control points at the corners.

static BSplineLineSegment(arg0: numpy.ndarray[numpy.float64[m, n]], arg1: numpy.ndarray[numpy.float64[m, n]]) → pygismo.nurbs.gsBSpline

static BSplineQuarterAnnulus(deg: int = 2) → pygismo.core.gsGeometry

Inexact annulus using B-splines

static BSplineRectangle(low_x: float = 0, low_y: float = 0, upp_x: float = 1, upp_y: float = 1, turn_def: float = 0) → pygismo.nurbs.gsTensorBSpline2

2d-rectange [low_x,upp_x] x [low_y,upp_y], rotated by turndeg degrees.

static BSplineRectangleWithPara(low_x: float = 0, low_y: float = 0, upp_x: float = 1, upp_y: float = 1) → pygismo.nurbs.gsTensorBSpline2

Rectangle described by the identity mapping over the given parameter domain, using tensor product B-splines.

static BSplineSaddle() → gismo::gsTensorNurbs<3, double>

Saddle using B-splines

static BSplineSegment(u0: float = 0, u1: float = 1) → pygismo.nurbs.gsBSpline

static BSplineSquare(*args, **kwargs)

Overloaded function.

1. BSplineSquare(arg0: numpy.ndarray[numpy.float64[m, n]]) -> pygismo.nurbs.gsTensorBSpline2

Square of side defined by two corners (columsn)

2. BSplineSquare(arg0: float, arg1: float, arg2: float) -> pygismo.nurbs.gsTensorBSpline2

Square of side r, with lower left corner at (x,y)

static BSplineSquareDeg(deg: int, scale: float = 1) → pygismo.nurbs.gsTensorBSpline2

The unit square represented as a tensor B-spline of degree deg

static BSplineSquareGrid(n: int, m: int, r: float = 1, lx: float = 0, ly: float = 0) → pygismo.core.gsMultiPatch

Creates a m n X m m rectangle multipatch consisting of B-splines squares with lower left corner at at (lx,ly)

static BSplineTriangle(*args, **kwargs)

Overloaded function.

1. BSplineTriangle(H: float = 1, W: float = 0) -> pygismo.nurbs.gsTensorBSpline2

Makes a Isosceles triangle with height H and width W

2. BSplineTriangle(H: float = 1, W: float = 0) -> pygismo.nurbs.gsTensorBSpline2

Makes a star with N patches, outer radius R0 and inner radius R1

static BSplineUnitInterval(arg0: int) → pygismo.nurbs.gsBSpline

Creates a B-Spline unit interval

static NurbsAmoebaFull(r: float = 1, x: float = 0, y: float = 0) → gismo::gsNurbs<double>

static NurbsAnnulus(r0: float = 0, r1: float = 1) → gismo::gsTensorNurbs<2, double>

Exact full annulus using NURBS

static NurbsBean(r: float = 1, x: float = 0, y: float = 0) → gismo::gsNurbs<double>

static NurbsCircle(r: float = 1, x: float = 0, y: float = 0) → gismo::gsNurbs<double>

Circle using NURBS

static NurbsCube(r: float = 1, x: float = 0, y: float = 0, z: float = 0) → gismo::gsTensorNurbs<3, double>

Cube of side  r, with lower left corner at (x,y,z) using NURBS

static NurbsCurve1(r: float = 1, x: float = 0, y: float = 0) → gismo::gsNurbs<double>

static NurbsCurve2(r: float = 1, x: float = 0, y: float = 0) → gismo::gsNurbs<double>

static NurbsDisk(r: float = 1, x: float = 0, y: float = 0) → gismo::gsTensorNurbs<2, double>

static NurbsQrtPlateWHoleC0() → pygismo.nurbs.gsTensorBSpline2

static NurbsQuarterAnnulus(r0: float = 0, r1: float = 1) → gismo::gsTensorNurbs<2, double>

Exact annulus using NURBS

static NurbsSphere(r: float = 1, x: float = 0, y: float = 0, z: float = 0) → gismo::gsTensorNurbs<2, double>

Sphere using NURBS

static lift3D(*args, **kwargs)

Overloaded function.

1. lift3D(arg0: pygismo.nurbs.gsTensorBSpline2, arg1: float) -> pygismo.nurbs.gsTensorBSpline3

Lifts a 2D geometry into 3D space

2. lift3D(arg0: gismo::gsTensorNurbs<2, double>, arg1: float) -> gismo::gsTensorNurbs<3, double>

Lifts a 2D geometry into 3D space

static lift4D(*args, **kwargs)

Overloaded function.

1. lift4D(arg0: pygismo.nurbs.gsTensorBSpline3, arg1: float) -> pygismo.nurbs.gsTensorBSpline4

Lifts a 3D geometry into 4D space

2. lift4D(arg0: gismo::gsTensorNurbs<3, double>, arg1: float) -> gismo::gsTensorNurbs<4, double>

Lifts a 3D geometry into 4D space

class pygismo.nurbs.gsTensorBSpline2

Bases: gsGeometry

degree(self: pygismo.nurbs.gsTensorBSpline2, arg0: int) → int

Returns the degree

knots(*args, **kwargs)

Overloaded function.

1. knots(self: pygismo.nurbs.gsTensorBSpline2, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a reference

2. knots(self: pygismo.nurbs.gsTensorBSpline2, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a const reference

class pygismo.nurbs.gsTensorBSpline3

Bases: gsGeometry

degree(self: pygismo.nurbs.gsTensorBSpline3, arg0: int) → int

Returns the degree

knots(*args, **kwargs)

Overloaded function.

1. knots(self: pygismo.nurbs.gsTensorBSpline3, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a reference

2. knots(self: pygismo.nurbs.gsTensorBSpline3, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a const reference

class pygismo.nurbs.gsTensorBSpline4

Bases: gsGeometry

degree(self: pygismo.nurbs.gsTensorBSpline4, arg0: int) → int

Returns the degree

knots(*args, **kwargs)

Overloaded function.

1. knots(self: pygismo.nurbs.gsTensorBSpline4, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a reference

2. knots(self: pygismo.nurbs.gsTensorBSpline4, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a const reference

class pygismo.nurbs.gsTensorBSplineBasis2

Bases: gsBasis

active(self: pygismo.nurbs.gsTensorBSplineBasis2, arg0: numpy.ndarray[numpy.float64[m, n]]) → numpy.ndarray[numpy.int32[m, n]]

Gives actives at points into a matrix

component(*args, **kwargs)

Overloaded function.

1. component(self: pygismo.nurbs.gsTensorBSplineBasis2, arg0: int) -> pygismo.nurbs.gsBSplineBasis

Returns the basis component as a reference

2. component(self: pygismo.nurbs.gsTensorBSplineBasis2, arg0: int) -> pygismo.nurbs.gsBSplineBasis

Returns the basis component as a const reference

degree(self: pygismo.nurbs.gsTensorBSplineBasis2, arg0: int) → int

Returns the degree

deriv(self: pygismo.nurbs.gsTensorBSplineBasis2, arg0: numpy.ndarray[numpy.float64[m, n]]) → numpy.ndarray[numpy.float64[m, n]]

Evaluates derivatives at points into a matrix

deriv2(self: pygismo.nurbs.gsTensorBSplineBasis2, arg0: numpy.ndarray[numpy.float64[m, n]]) → numpy.ndarray[numpy.float64[m, n]]

Evaluates second derivatives at points into a matrix

dim(self: pygismo.nurbs.gsTensorBSplineBasis2) → int

Returns the dimension

eval(self: pygismo.nurbs.gsTensorBSplineBasis2, arg0: numpy.ndarray[numpy.float64[m, n]]) → numpy.ndarray[numpy.float64[m, n]]

Evaluates points into a matrix

evalSingle(self: pygismo.nurbs.gsTensorBSplineBasis2, arg0: int, arg1: numpy.ndarray[numpy.float64[m, n]]) → numpy.ndarray[numpy.float64[m, n]]

Evaluates the basis function i

evalSingle_into(self: pygismo.nurbs.gsTensorBSplineBasis2, arg0: int, arg1: numpy.ndarray[numpy.float64[m, n]], arg2: numpy.ndarray[numpy.float64[m, n]]) → None

Evaluates the basis function i

function(self: pygismo.nurbs.gsTensorBSplineBasis2, arg0: int) → pygismo.core.gsBasisFun

Returns the basis function i

knots(*args, **kwargs)

Overloaded function.

1. knots(self: pygismo.nurbs.gsTensorBSplineBasis2, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a reference

2. knots(self: pygismo.nurbs.gsTensorBSplineBasis2, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a const reference

size(self: pygismo.nurbs.gsTensorBSplineBasis2) → int

Returns the size

class pygismo.nurbs.gsTensorBSplineBasis3

Bases: gsBasis

component(*args, **kwargs)

Overloaded function.

1. component(self: pygismo.nurbs.gsTensorBSplineBasis3, arg0: int) -> pygismo.nurbs.gsBSplineBasis

Returns the basis component as a reference

2. component(self: pygismo.nurbs.gsTensorBSplineBasis3, arg0: int) -> pygismo.nurbs.gsBSplineBasis

Returns the basis component as a const reference

degree(self: pygismo.nurbs.gsTensorBSplineBasis3, arg0: int) → int

Returns the degree

dim(self: pygismo.nurbs.gsTensorBSplineBasis3) → int

Returns the dimension

eval(self: pygismo.nurbs.gsTensorBSplineBasis3, arg0: numpy.ndarray[numpy.float64[m, n]]) → numpy.ndarray[numpy.float64[m, n]]

Evaluates points into a matrix

evalSingle(self: pygismo.nurbs.gsTensorBSplineBasis3, arg0: int, arg1: numpy.ndarray[numpy.float64[m, n]]) → numpy.ndarray[numpy.float64[m, n]]

Evaluates the basis function i

evalSingle_into(self: pygismo.nurbs.gsTensorBSplineBasis3, arg0: int, arg1: numpy.ndarray[numpy.float64[m, n]], arg2: numpy.ndarray[numpy.float64[m, n]]) → None

Evaluates the basis function i

function(self: pygismo.nurbs.gsTensorBSplineBasis3, arg0: int) → pygismo.core.gsBasisFun

Returns the basis function i

knots(*args, **kwargs)

Overloaded function.

1. knots(self: pygismo.nurbs.gsTensorBSplineBasis3, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a reference

2. knots(self: pygismo.nurbs.gsTensorBSplineBasis3, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a const reference

size(self: pygismo.nurbs.gsTensorBSplineBasis3) → int

Returns the size

class pygismo.nurbs.gsTensorBSplineBasis4

Bases: gsBasis

component(*args, **kwargs)

Overloaded function.

1. component(self: pygismo.nurbs.gsTensorBSplineBasis4, arg0: int) -> pygismo.nurbs.gsBSplineBasis

Returns the basis component as a reference

2. component(self: pygismo.nurbs.gsTensorBSplineBasis4, arg0: int) -> pygismo.nurbs.gsBSplineBasis

Returns the basis component as a const reference

degree(self: pygismo.nurbs.gsTensorBSplineBasis4, arg0: int) → int

Returns the degree

dim(self: pygismo.nurbs.gsTensorBSplineBasis4) → int

Returns the dimension

eval(self: pygismo.nurbs.gsTensorBSplineBasis4, arg0: numpy.ndarray[numpy.float64[m, n]]) → numpy.ndarray[numpy.float64[m, n]]

Evaluates points into a matrix

evalSingle(self: pygismo.nurbs.gsTensorBSplineBasis4, arg0: int, arg1: numpy.ndarray[numpy.float64[m, n]]) → numpy.ndarray[numpy.float64[m, n]]

Evaluates the basis function i

evalSingle_into(self: pygismo.nurbs.gsTensorBSplineBasis4, arg0: int, arg1: numpy.ndarray[numpy.float64[m, n]], arg2: numpy.ndarray[numpy.float64[m, n]]) → None

Evaluates the basis function i

function(self: pygismo.nurbs.gsTensorBSplineBasis4, arg0: int) → pygismo.core.gsBasisFun

Returns the basis function i

knots(*args, **kwargs)

Overloaded function.

1. knots(self: pygismo.nurbs.gsTensorBSplineBasis4, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a reference

2. knots(self: pygismo.nurbs.gsTensorBSplineBasis4, arg0: int) -> pygismo.nurbs.gsKnotVector

Get the knot vector as a const reference

size(self: pygismo.nurbs.gsTensorBSplineBasis4) → int

Returns the size