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d2GridPt Class Reference

This class represents a single grid point for a 2 dimensional manifold. More...

List of all members.

Public Members


Detailed Description

This class represents a single grid point for a 2 dimensional manifold.

An object of this class consists of a point in ambient space. Attached to this point may or may not be tangent data (that is, data specifying a 2 dimensional subspace which is approximately tangent to the manifold being approximated). If there is tangent data, there may or may not be normal data (that is, data specifying the orthogonal complement of the tangent space in the ambient space).

Examples:
d2StableTruncMap.C.

Member Function Documentation

d2GridPt::d2GridPt(short TD,short CS,int d,int n,const VEC &Pnt,const MAT &T,const MAT &N)

The explicit constructor for the class d2GridPt.

Parameters:
TD - a short integer, either 0 or 1, specifying whether the object will have tangent data.
CS - a short integer, either 0 or 1, specifying whether the object will have a local coordinate system (consisting of tangent data and normal data).
d - a positive integer, equal to the dimension of the manifold being approximated, in this case, d = 2.
n - a positive integer specifying the ambient dimension.
Pnt - a reference to a "VEC" constant. The "VEC" must have size n. Pnt specifies the base point in ambient space.
T - a reference to a "MAT" constant. The "MAT" must have size (n x d). The columns of T must form an orthonormal set spanning the approximate tangent space. Not used if TD = 0.
N - a reference to a "MAT" constant. The "MAT" must have size (n x n - d). The columns of N must form an orthonormal set spanning the approximate orthogonal complement to the tangent space. Not used if CS = 0.
Returns:
a d2GridPt object.


The documentation for this class was generated from the following files:
Generated at Sat Oct 16 03:55:28 1999 for Computing Invariant Manifolds Library by doxygen  written by Dimitri van Heesch, © 1997-1998