Mercurial > repos > public > sbplib

annotate +grid/Cartesian.m @ 159:ce10ebde3123 feature/grids

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
Added abstract class Structured.
author Jonatan Werpers <jonatan@werpers.com>
date Fri, 19 Feb 2016 16:09:02 +0100
parents cf748f33cd5b
children ba1ae5b2c45e
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
159
ce10ebde3123 Added abstract class Structured.
Jonatan Werpers <jonatan@werpers.com>
parents: 155
diff changeset
1 classdef Cartesian < grid.Structured
154
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
2 properties
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
3 n % Number of points in the grid
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
4 d % Number of dimensions
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
5 m % Number of points in each direction
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
6 x % Cell array of vectors with node placement for each dimension.
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
7 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
8
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
9 % General d dimensional grid with n points
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
10 methods
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
11 % Creates a cartesian grid given vectors conatining the coordinates
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
12 % in each direction
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
13 function obj = Cartesian(varargin)
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
14 obj.d = length(varargin);
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
15 for i = 1:obj.d
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
16 obj.x{i} = varargin{i};
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
17 obj.m(i) = length(varargin{i});
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
18 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
19 obj.n = prod(obj.m);
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
20 if obj.n == 0
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
21 error('grid:Cartesian:EmptyGrid','Input parameter gives an empty grid.')
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
22 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
23 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
24 % n returns the number of points in the grid
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
25 function o = N(obj)
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
26 o = obj.n;
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
27 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
28
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
29 % d returns the spatial dimension of the grid
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
30 function o = D(obj)
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
31 o = obj.d;
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
32 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
33
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
34 % points returns a n x d matrix containing the coordianets for all points.
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
35 % points are ordered according to the kronecker product with X*Y*Z
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
36 function X = points(obj)
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
37 X = zeros(obj.n, obj.d);
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
38
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
39 for i = 1:obj.d
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
40 if iscolumn(obj.x{i})
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
41 c = obj.x{i};
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
42 else
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
43 c = obj.x{i}';
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
44 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
45
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
46 m_before = prod(obj.m(1:i-1));
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
47 m_after = prod(obj.m(i+1:end));
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
48
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
49 X(:,i) = kr(ones(m_before,1),c,ones(m_after,1));
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
50 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
51 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
52
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
53 % matrices returns a cell array with coordinates in matrix form.
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
54 % For 2d case these will have to be transposed to work with plotting routines.
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
55 function X = matrices(obj)
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
56
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
57 if obj.d == 1 % There is no 1d matrix data type in matlab, handle special case
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
58 X{1} = reshape(obj.x{1}, [obj.m 1]);
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
59 return
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
60 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
61
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
62 X = cell(1,obj.d);
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
63 for i = 1:obj.d
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
64 s = ones(1,obj.d);
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
65 s(i) = obj.m(i);
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
66
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
67 t = reshape(obj.x{i},s);
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
68
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
69 s = obj.m;
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
70 s(i) = 1;
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
71 X{i} = repmat(t,s);
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
72 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
73 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
74 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
75 end