Mercurial > repos > public > sbplib
annotate +grid/Curvilinear.m @ 1037:2d7ba44340d0 feature/burgers1d
Pass scheme specific parameters as cell array. This will enabale constructDiffOps to be more general. In addition, allow for schemes returning function handles as diffOps, which is currently how non-linear schemes such as Burgers1d are implemented.
author | Vidar Stiernström <vidar.stiernstrom@it.uu.se> |
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date | Fri, 18 Jan 2019 09:02:02 +0100 |
parents | 692bf61385c0 |
children |
rev | line source |
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170
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1 classdef Curvilinear < grid.Structured & grid.Mapped |
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2 properties |
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3 logic % Grid of Logical domain |
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4 coords % N x D matrix with coordinates of each point in the physical domain |
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5 end |
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6 |
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7 methods |
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8 % Creates a curvilinear grid. |
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9 % Ex: grid.Curvilinear(mapping, xi, eta, ...) |
276
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Fixed documentation for Curvilinear and evalOn.
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10 % mapping -- either a function handle, a matrix or a cell array with physical coordinates. |
30321dc180e1
Fixed documentation for Curvilinear and evalOn.
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11 % A function handle should be a vector valued function of the coordinate mapping. |
170
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12 % A matrix should be a grid function (N*D x 1 vector) or a N x D |
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13 % A cell array should be a 1 x D cell array with either N x 1 vectors |
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14 % or matrices of the same dimesions as the logical grid. |
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15 % xi, eta, ... -- are the coordinate positions of the cartesian logical grid. |
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16 function obj = Curvilinear(mapping, varargin) |
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17 xi = varargin; |
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18 obj.logic = grid.Cartesian(xi{:}); |
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19 |
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20 % If mapping is a function evaluate it |
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21 if isa(mapping, 'function_handle') |
448 | 22 if nargin(mapping) ~= length(varargin) |
23 error('The dimension of the mapping does not match the dimension of the logical coordinates') | |
24 end | |
170
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25 mapping = grid.evalOn(obj.logic, mapping); |
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26 end |
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27 |
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28 D = obj.logic.D(); |
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29 N = obj.logic.N(); |
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30 |
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31 obj.coords = zeros(N,D); |
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32 |
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33 if iscell(mapping) |
172
c3483685116a
Refactored input parsing in Curvilinear.
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34 obj.coords = cellMappingToCoords(mapping, N, D, obj.logic.m); |
170
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35 elseif isnumeric(mapping) |
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36 obj.coords = matrixMappingToCoords(mapping, N, D); |
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37 else |
381
d32c749408cb
Better error message.
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38 error('grid:Curvilinear:Curvilinear','mapping must be a function handle, a matrix or a cell array.'); |
170
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39 end |
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40 end |
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41 |
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42 function m = size(obj) |
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43 m = obj.logic.size(); |
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44 end |
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45 |
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46 % logicalGrid returns the domain grid of the mapping. |
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47 function g = logicalGrid(obj) |
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48 g = obj.logic; |
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49 end |
153
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50 |
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51 % mapping returns the mapped coordinates as a grid.Function |
170
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52 function m = mapping(obj); |
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53 m = obj.coords; |
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54 end |
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55 |
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56 % n returns the number of points in the grid |
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57 function o = N(obj) |
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58 o = obj.logic.N(); |
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59 end |
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60 |
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61 % d returns the spatial dimension of the grid |
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62 function o = D(obj) |
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63 o = obj.logic.D(); |
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64 end |
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65 |
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66 % points returns a n x d matrix containing the coordinates for all points. |
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67 function X = points(obj) |
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68 X = obj.coords; |
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69 end |
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70 |
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71 % Restricts the grid function gf on obj to the subgrid g. |
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72 function gf = restrictFunc(obj, gf, g) |
386
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Fixed bug in curvilinear.
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73 gf = obj.logic.restrictFunc(gf, g.logic); |
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74 end |
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75 |
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76 % Projects the grid function gf on obj to the grid g. |
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77 function gf = projectFunc(obj, gf, g) |
386
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78 gf = obj.logic.projectFunc(gf,g.logic); |
170
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79 end |
173
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80 |
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81 function h = scaling(obj) |
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82 if isempty(obj.logic.h) |
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83 error('grid:Curvilinear:NoScalingSet','No scaling set'); |
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84 end |
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85 h = obj.logic.h; |
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86 end |
188
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87 |
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88 % Return the names of all boundaries in this grid. |
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89 function bs = getBoundaryNames(obj) |
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90 bs = obj.logic.getBoundaryNames(); |
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91 end |
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92 |
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93 % Return coordinates for the given boundary |
191
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94 function X = getBoundary(obj, name) |
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95 % In what dimension is the boundary? |
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96 switch name |
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97 case {'l', 'r', 'w', 'e'} |
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98 D = 1; |
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99 case {'s', 'n'} |
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100 D = 2; |
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101 case {'d', 'u'} |
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102 D = 3; |
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103 otherwise |
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104 error('not implemented'); |
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105 end |
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106 |
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107 % At what index is the boundary? |
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108 switch name |
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109 case {'l', 'w', 's', 'd'} |
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110 index = 1; |
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111 case {'r', 'e', 'n', 'u'} |
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112 index = obj.logic.m(D); |
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113 otherwise |
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114 error('not implemented'); |
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115 end |
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116 |
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117 |
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118 |
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119 I = cell(1, obj.D); |
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120 for i = 1:obj.D |
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121 if i == D |
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122 I{i} = index; |
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123 else |
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124 I{i} = ':'; |
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125 end |
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126 end |
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127 |
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128 % Calculate size of result: |
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129 m = obj.logic.m; |
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130 m(D) = []; |
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131 N = prod(m); |
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132 |
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133 X = zeros(N, obj.D); |
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134 |
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135 p = obj.points; |
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136 for i = 1:obj.D() |
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137 coordMat{i} = reshapeRowMaj(p(:,i), obj.logic.m); |
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138 end |
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139 |
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140 for i = 1:length(coordMat) |
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141 Xtemp = coordMat{i}(I{:}); |
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142 X(:,i) = reshapeRowMaj(Xtemp, [N,1]); |
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143 end |
188
c5ca9bbfed41
Added methods to hande boundaries to Grid. Added failing tests and method stubs.
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144 end |
153
7aee9eba3bb8
Added abstract classes for some different types of grids.
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145 end |
172
c3483685116a
Refactored input parsing in Curvilinear.
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170
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146 end |
c3483685116a
Refactored input parsing in Curvilinear.
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170
diff
changeset
|
147 |
c3483685116a
Refactored input parsing in Curvilinear.
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170
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|
148 |
c3483685116a
Refactored input parsing in Curvilinear.
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|
149 function coords = cellMappingToCoords(mapping, N, D, m) |
c3483685116a
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150 if ~isequal(size(mapping),[1 D]) |
173
f7bb2a94d291
Added functionallity for storing grid scaling on structured grids.
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changeset
|
151 error('grid:Curvilinear:Curvilinear','The cell array must be a 1xD array.'); |
172
c3483685116a
Refactored input parsing in Curvilinear.
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diff
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|
152 end |
c3483685116a
Refactored input parsing in Curvilinear.
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170
diff
changeset
|
153 |
c3483685116a
Refactored input parsing in Curvilinear.
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|
154 if isequal(size(mapping{1}),[N 1]) |
c3483685116a
Refactored input parsing in Curvilinear.
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|
155 coords = cell2mat(mapping); |
c3483685116a
Refactored input parsing in Curvilinear.
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|
156 elseif isequal(size(mapping{1}), m) |
c3483685116a
Refactored input parsing in Curvilinear.
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|
157 for i = 1:length(mapping) |
c3483685116a
Refactored input parsing in Curvilinear.
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|
158 coords(:,i) = reshapeRowMaj(mapping{i}, [N 1]); |
c3483685116a
Refactored input parsing in Curvilinear.
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parents:
170
diff
changeset
|
159 end |
c3483685116a
Refactored input parsing in Curvilinear.
Jonatan Werpers <jonatan@werpers.com>
parents:
170
diff
changeset
|
160 else |
c3483685116a
Refactored input parsing in Curvilinear.
Jonatan Werpers <jonatan@werpers.com>
parents:
170
diff
changeset
|
161 error('grid:Curvilinear:Curvilinear','The matrix must have size [N 1] or the same dimension as the grid. Actual: %s', toString(m)); |
c3483685116a
Refactored input parsing in Curvilinear.
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parents:
170
diff
changeset
|
162 end |
c3483685116a
Refactored input parsing in Curvilinear.
Jonatan Werpers <jonatan@werpers.com>
parents:
170
diff
changeset
|
163 end |
c3483685116a
Refactored input parsing in Curvilinear.
Jonatan Werpers <jonatan@werpers.com>
parents:
170
diff
changeset
|
164 |
c3483685116a
Refactored input parsing in Curvilinear.
Jonatan Werpers <jonatan@werpers.com>
parents:
170
diff
changeset
|
165 function coords = matrixMappingToCoords(mapping, N, D) |
c3483685116a
Refactored input parsing in Curvilinear.
Jonatan Werpers <jonatan@werpers.com>
parents:
170
diff
changeset
|
166 if isequal(size(mapping), [N, D]) |
c3483685116a
Refactored input parsing in Curvilinear.
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parents:
170
diff
changeset
|
167 coords = mapping; |
c3483685116a
Refactored input parsing in Curvilinear.
Jonatan Werpers <jonatan@werpers.com>
parents:
170
diff
changeset
|
168 elseif isequal(size(mapping), [N*D, 1]) |
c3483685116a
Refactored input parsing in Curvilinear.
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parents:
170
diff
changeset
|
169 coords = reshapeRowMaj(mapping,[N D]); |
c3483685116a
Refactored input parsing in Curvilinear.
Jonatan Werpers <jonatan@werpers.com>
parents:
170
diff
changeset
|
170 else |
c3483685116a
Refactored input parsing in Curvilinear.
Jonatan Werpers <jonatan@werpers.com>
parents:
170
diff
changeset
|
171 error('grid:Curvilinear:Curvilinear','A matrix mapping must be of size [N D] or [N*D 1].'); |
c3483685116a
Refactored input parsing in Curvilinear.
Jonatan Werpers <jonatan@werpers.com>
parents:
170
diff
changeset
|
172 end |
c3483685116a
Refactored input parsing in Curvilinear.
Jonatan Werpers <jonatan@werpers.com>
parents:
170
diff
changeset
|
173 end |