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annotate +grid/Cartesian.m @ 577:e45c9b56d50d feature/grids

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Add an Empty grid class The need turned up for the flexural code when we may or may not have a grid for the open water and want to plot that solution. In case there is no open water we need an empty grid to plot the empty gridfunction against to avoid errors.
author Jonatan Werpers <jonatan@werpers.com>
date Thu, 07 Sep 2017 09:16:12 +0200
parents 3da69d57e684
children fcf004066ea9 c3e89f9b2af7
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ce10ebde3123 Added abstract class Structured.
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1 classdef Cartesian < grid.Structured
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2 properties
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3 n % Number of points in the grid
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4 d % Number of dimensions
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5 m % Number of points in each direction
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6 x % Cell array of vectors with node placement for each dimension.
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7 h % Spacing/Scaling
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8 end
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9
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10 % General d dimensional grid with n points
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11 methods
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12 % Creates a cartesian grid given vectors conatining the coordinates
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13 % in each direction
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14 function obj = Cartesian(varargin)
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15 obj.d = length(varargin);
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17 for i = 1:obj.d
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18 assert(isvector(varargin{i}), 'Coordinate inputs must be a vectors.')
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19
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20 obj.x{i} = varargin{i};
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21 obj.m(i) = length(varargin{i});
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22 end
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23
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24 obj.n = prod(obj.m);
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25 if obj.n == 0
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26 error('grid:Cartesian:EmptyGrid','Input parameter gives an empty grid.')
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27 end
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28
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29 obj.h = [];
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30 end
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31 % n returns the number of points in the grid
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32 function o = N(obj)
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33 o = obj.n;
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34 end
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35
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36 % d returns the spatial dimension of the grid
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37 function o = D(obj)
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38 o = obj.d;
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39 end
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40
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41 function m = size(obj)
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42 m = obj.m;
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43 end
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44
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45 % points returns a n x d matrix containing the coordianets for all points.
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46 % points are ordered according to the kronecker product with X*Y*Z
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47 function X = points(obj)
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48 X = zeros(obj.n, obj.d);
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49
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50 for i = 1:obj.d
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51 if iscolumn(obj.x{i})
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52 c = obj.x{i};
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53 else
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54 c = obj.x{i}';
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55 end
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56
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57 m_before = prod(obj.m(1:i-1));
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58 m_after = prod(obj.m(i+1:end));
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59
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60 X(:,i) = kr(ones(m_before,1),c,ones(m_after,1));
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61 end
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62 end
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63
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64 % matrices returns a cell array with coordinates in matrix form.
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65 % For 2d case these will have to be transposed to work with plotting routines.
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66 function X = matrices(obj)
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67
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68 if obj.d == 1 % There is no 1d matrix data type in matlab, handle special case
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69 X{1} = reshape(obj.x{1}, [obj.m 1]);
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70 return
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71 end
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72
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73 X = cell(1,obj.d);
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74 for i = 1:obj.d
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75 s = ones(1,obj.d);
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76 s(i) = obj.m(i);
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77
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78 t = reshape(obj.x{i},s);
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79
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80 s = obj.m;
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81 s(i) = 1;
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82 X{i} = repmat(t,s);
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83 end
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84 end
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85
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86 function h = scaling(obj)
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87 if isempty(obj.h)
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88 error('grid:Cartesian:NoScalingSet', 'No scaling set')
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89 end
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90
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91 h = obj.h;
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92 end
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93
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94 % Restricts the grid function gf on obj to the subgrid g.
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95 % Only works for even multiples
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96 function gf = restrictFunc(obj, gf, g)
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97 m1 = obj.m;
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98 m2 = g.m;
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99
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100 % Check the input
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101 if prod(m1) ~= numel(gf)
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102 error('grid:Cartesian:restrictFunc:NonMatchingFunctionSize', 'The grid function has to few or too many points.');
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103 end
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104
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105 if ~all(mod(m1-1,m2-1) == 0)
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106 error('grid:Cartesian:restrictFunc:NonMatchingGrids', 'Only integer downsamplings are allowed');
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107 end
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108
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109 % Calculate stride for each dimension
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110 stride = (m1-1)./(m2-1);
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111
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112 % Create downsampling indecies
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113 I = {};
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114 for i = 1:length(m1)
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115 I{i} = 1:stride(i):m1(i);
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116 end
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117
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118 gf = reshapeRowMaj(gf, m1);
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119 gf = gf(I{:});
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120 gf = reshapeRowMaj(gf, prod(m2));
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121 end
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122
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123 % Projects the grid function gf on obj to the grid g.
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124 function gf = projectFunc(obj, gf, g)
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125 error('grid:Cartesian:NotImplemented')
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126 end
188
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127
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128 % Return the names of all boundaries in this grid.
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129 function bs = getBoundaryNames(obj)
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130 switch obj.D()
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131 case 1
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132 bs = {'l', 'r'};
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133 case 2
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134 bs = {'w', 'e', 's', 'n'};
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135 case 3
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136 bs = {'w', 'e', 's', 'n', 'd', 'u'};
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137 otherwise
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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138 error('not implemented');
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139 end
188
c5ca9bbfed41 Added methods to hande boundaries to Grid. Added failing tests and method stubs.
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140 end
c5ca9bbfed41 Added methods to hande boundaries to Grid. Added failing tests and method stubs.
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141
c5ca9bbfed41 Added methods to hande boundaries to Grid. Added failing tests and method stubs.
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142 % Return coordinates for the given boundary
191
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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143 function X = getBoundary(obj, name)
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144 % In what dimension is the boundary?
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145 switch name
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146 case {'l', 'r', 'w', 'e'}
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147 D = 1;
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148 case {'s', 'n'}
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149 D = 2;
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150 case {'d', 'u'}
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151 D = 3;
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152 otherwise
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153 error('not implemented');
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154 end
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
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155
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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156 % At what index is the boundary?
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157 switch name
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158 case {'l', 'w', 's', 'd'}
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159 index = 1;
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160 case {'r', 'e', 'n', 'u'}
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diff changeset
161 index = obj.m(D);
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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diff changeset
162 otherwise
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
163 error('not implemented');
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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164 end
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
165
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
166
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
167
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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diff changeset
168 I = cell(1, obj.d);
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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diff changeset
169 for i = 1:obj.d
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170 if i == D
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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171 I{i} = index;
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
172 else
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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173 I{i} = ':';
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
Jonatan Werpers <jonatan@werpers.com>
parents: 188
diff changeset
174 end
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
Jonatan Werpers <jonatan@werpers.com>
parents: 188
diff changeset
175 end
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
Jonatan Werpers <jonatan@werpers.com>
parents: 188
diff changeset
176
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
Jonatan Werpers <jonatan@werpers.com>
parents: 188
diff changeset
177 % Calculate size of result:
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
178 m = obj.m;
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
179 m(D) = [];
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
Jonatan Werpers <jonatan@werpers.com>
parents: 188
diff changeset
180 N = prod(m);
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
Jonatan Werpers <jonatan@werpers.com>
parents: 188
diff changeset
181
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
Jonatan Werpers <jonatan@werpers.com>
parents: 188
diff changeset
182 X = zeros(N, obj.d);
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
183
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
184 coordMat = obj.matrices();
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
185 for i = 1:length(coordMat)
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
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parents: 188
diff changeset
186 Xtemp = coordMat{i}(I{:});
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
Jonatan Werpers <jonatan@werpers.com>
parents: 188
diff changeset
187 X(:,i) = reshapeRowMaj(Xtemp, [N,1]);
7c1d3fc33f90 Added methods for returning boundary names and boundary coordinates from Cartesian and Curvilinear grids.
Jonatan Werpers <jonatan@werpers.com>
parents: 188
diff changeset
188 end
188
c5ca9bbfed41 Added methods to hande boundaries to Grid. Added failing tests and method stubs.
Jonatan Werpers <jonatan@werpers.com>
parents: 173
diff changeset
189 end
154
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
190 end
c7b2f645101f Added classes and functions for Cartesian and equidistant grids.
Jonatan Werpers <jonatan@werpers.com>
parents:
diff changeset
191 end