gsNurbsCreator< T > Struct Template Reference

Detailed Description

template<class T>
struct gismo::gsNurbsCreator< T >

Class gsNurbsCreator provides some simple examples of Nurbs Geometries.

Static Public Member Functions
static TensorBSpline3Ptr	BSplineCube (T const &r=1, T const &x=0, T const &y=0, T const &z=0)
	Cube of side r, with lower left corner at (x,y,z)
static TensorBSpline3Ptr	BSplineCube (short_t deg)
	The unit cube represented as a tensor B-spline of degree deg.
static BSplinePtr	BSplineFatCircle (T const &r=(T)(1), T const &x=0, T const &y=0)
	Inexact circle using B-splines.
static TensorBSpline2Ptr	BSplineFatDisk (T const &r=1, T const &x=0, T const &y=0)
	Inexact disk using B-splines.
static TensorBSpline2Ptr	BSplineFatQuarterAnnulus (T const &r0=1, T const &r1=2)
static TensorBSpline2Ptr	BSplineLShape_p1 (T r=(T)(1))
	L-Shaped domain represented as a tensor B-spline of degree 1.
static TensorBSpline2Ptr	BSplineLShape_p2C0 ()
static TensorBSpline2Ptr	BSplineLShape_p2C1 ()
static gsMultiPatch< T >	BSplineLShapeMultiPatch_p2 ()
static GeometryPtr	BSplineQuarterAnnulus (const short_t &deg=2)
	Inexact annulus using B-splines.
static TensorBSpline2Ptr	BSplineRectangle (T const &low_x=0, T const &low_y=0, T const &upp_x=1, T const &upp_y=1, T const &turndeg=0)
	2d-rectange [low_x,upp_x] x [low_y,upp_y], rotated by turndeg degrees.
static TensorBSpline2Ptr	BSplineSquare (T const &r=1, T const &x=0, T const &y=0)
	Square of side r, with lower left corner at (x,y)
static TensorBSpline2Ptr	BSplineSquareDeg (short_t deg, T scale=(T)(1))
	The unit square represented as a tensor B-spline of degree deg.
static gsMultiPatch< T >	BSplineSquareGrid (int n, int m, T const &r=1, T const &lx=0, T const &ly=0)
static gsMultiPatch< T >	BSplineStar (index_t const &N=3, T const &R0=1, T const &R1=0.5)
	Makes a star with N patches, outer radius R0 and inner radius R1. More...
static TensorBSpline2Ptr	BSplineTrapezium (T const &Lbot=1, T const &Ltop=0.5, T const &H=1, T const &d=0, T const &turndeg=0)
	Rectangle described by the identity mapping over the given parameter domain, using tensor product B-splines. More...
static TensorBSpline2Ptr	BSplineTrapezium (T const &Ax, T const &Ay, T const &Bx, T const &By, T const &Cx, T const &Cy, T const &Dx, T const &Dy, T const &turndeg=0)
	2d-trapezium
static TensorBSpline2Ptr	BSplineTriangle (T const &H=1, T const &W=1)
	Makes a Isosceles triangle with height H and width W. More...
static TensorNurbs2Ptr	NurbsAnnulus (T const &r0=1, T const &r1=2)
	Exact full annulus using NURBS with inner radius r0 and outer radius r1.
static TensorNurbs2Ptr	NurbsArcTrapezium (T const &Lbot=1, T const &Ltop=0.5, T const &H=1, T const &d=0, T const &turndeg=0)
	2d-trapezium
static TensorNurbs2Ptr	NurbsArcTrapezium (T const &Ax, T const &Ay, T const &Bx, T const &By, T const &Cx, T const &Cy, T const &Dx, T const &Dy, T const &turndeg=0)
	2d-trapezium
static NurbsPtr	NurbsCircle (T const &r=(T)(1), T const &x=0, T const &y=0)
	Circle using NURBS.
static TensorNurbs3Ptr	NurbsCube (T const &r=1, T const &x=0, T const &y=0, T const &z=0)
	Cube of side r, with lower left corner at (x,y,z) using NURBS.
static TensorNurbs2Ptr	NurbsQuarterAnnulus (T const &r0=1, T const &r1=2)
	Exact annulus using NURBS with inner radius r0 and outer radius r1.
static TensorNurbs2Ptr	NurbsSphere (T const &r=1, T const &x=0, T const &y=0, T const &z=0)
	Sphere using NURBS.

Member Function Documentation

gsNurbsCreator< T >::TensorBSpline2Ptr BSplineFatQuarterAnnulus ( T const &  r0 = 1, T const &  r1 = 2  )

static

Fat annulus using B-splines, discarding the weights of the exact NURBS Analytical formulation (when r0 = 1 and r1 = 2): (x, y) = (1 + s - s*t*t - t*t, 2*s*t -s*t*t + 2*t - t*t)

gsNurbsCreator< T >::TensorBSpline2Ptr BSplineLShape_p2C0 ( )

static

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

gsNurbsCreator< T >::TensorBSpline2Ptr BSplineLShape_p2C1 ( )

static

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

gsMultiPatch< T > BSplineLShapeMultiPatch_p2 ( )

static

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.

gsMultiPatch< T > BSplineSquareGrid ( int  n, int  m, T const &  r = 1, T const &  lx = 0, T const &  ly = 0  )

static

Creates a n X m rectangle multipatch consisting of B-splines squares with lower left corner at at (lx,ly). The numbering of the patches are (for n = 4 and m = 3):

–	—	—	–
2	5	8	11
1	4	7	10
0	3	6	9

Parameters

n	number of squares in x-direction.
m	number of squares in y-direction.
r	with length of the side of the squares.
lx	x-coordinate for lower left corner of the rectangle.
ly	y-coordinate for lower left corner of the rectangle.

gsMultiPatch< T > BSplineStar ( index_t const &  N = 3, T const &  R0 = 1, T const &  R1 = 0.5  )

static

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

Star with N points. Each point is located R0 from the center. The other corners are located R1 from the center.

gsNurbsCreator< T >::TensorBSpline2Ptr BSplineTrapezium ( T const &  Lbot = 1, T const &  Ltop = 0.5, T const &  H = 1, T const &  d = 0, T const &  turndeg = 0  )

static

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

2d-trapezium

gsNurbsCreator< T >::TensorBSpline2Ptr BSplineTriangle ( T const &  H = 1, T const &  W = 1  )

static

Makes a Isosceles triangle with height H and width W.

Triangle of height H and width W with the bottom side centered at 0,0.