Package ru.sscc.spline.mesh

The collection of 1D meshes and auxiliary classes.

See:
Description

Class Summary

NonuniformMesh	The implementation of 1D ordered nonuniform mesh.
SimpleMesh	The description of the simple 1D mesh.
SimpleMeshWorkspace	An auxiliary class useful in 1D spline values calculations.
StrictNonuniformMesh	The implementation of 1D ordered nonuniform mesh with strict representation of nodes in the double[] type internal array.
UniformMesh	The implementation of 1D uniform mesh.

Package ru.sscc.spline.mesh Description

The collection of 1D meshes and auxiliary classes.

The SimpleMesh abstract class is the basic class for all 1D meshes. It describes a mesh as a collection of nodes x_i and cells [x_i,x_i+1]. The internal representation of a mesh usually differ from the user defined mesh: the user's mesh is affine transformed when the internal representation is constructed for the algorithmic stability reason.

The class provides the findCell method, that transforms a point on the real axis to the internal representation and finds the mesh cell to which the transformed point belongs and the relative position of it in this cell. This method works together with an instance of the SimpleMeshWorkspace and writes the results to it.

The distance method returns the distance between specified mesh nodes of the transformed mesh and the extendedMeshDistance method returns the distance between the nodes of the extended mesh. The transformed mesh is extended in both directions by a number of virtual nodes. The additional notes are usually placed with the same distance between each other. The left virtual nodes indices are -1, -2, ... and the right virtual nodes indices are size, size+1, ... .

The implementation of the SimpleMesh is done in the following subclasses: the UniformMesh class implements a uniform mesh; the NonuniformMesh class implements a nonuniform mesh internally stored in the float type array; and the StrictNonuniformMesh class implements a nonuniform mesh internally stored in the double type array.