1 | %'find_field_bounds': % find the bounds and typical meshs of coordinates |
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2 | %----------------------------------------------------------------------- |
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3 | %function FieldOut=find_field_bounds(Field) |
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4 | %----------------------------------------------------------------------- |
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5 | %OUTPUT |
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6 | %FieldOut copy of the input Field with the additional items: |
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7 | % .XMin,.XMax,.YMin,.YMax,bounds for x and y |
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8 | % .CoordMesh: typical mesh needed for automatic grids |
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9 | % |
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10 | %INPUT |
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11 | % Field: Matlab structure describing the input field |
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12 | % |
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13 | %======================================================================= |
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14 | % Copyright 2008-2014, LEGI UMR 5519 / CNRS UJF G-INP, Grenoble, France |
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15 | % http://www.legi.grenoble-inp.fr |
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16 | % Joel.Sommeria - Joel.Sommeria (A) legi.cnrs.fr |
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17 | % |
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18 | % This file is part of the toolbox UVMAT. |
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19 | % |
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20 | % UVMAT is free software; you can redistribute it and/or modify |
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21 | % it under the terms of the GNU General Public License as published |
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22 | % by the Free Software Foundation; either version 2 of the license, |
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23 | % or (at your option) any later version. |
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24 | % |
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25 | % UVMAT is distributed in the hope that it will be useful, |
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26 | % but WITHOUT ANY WARRANTY; without even the implied warranty of |
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27 | % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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28 | % GNU General Public License (see LICENSE.txt) for more details. |
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29 | %======================================================================= |
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30 | |
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31 | function FieldOut=find_field_bounds(Field) |
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32 | |
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33 | FieldOut=Field;%default |
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34 | %% analyse input field |
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35 | [CellInfo,NbDimArray,errormsg]=find_field_cells(Field);% analyse the input field structure |
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36 | if ~isempty(errormsg) |
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37 | errormsg=['uvmat /refresh_field / find_field_cells / ' errormsg];% display error |
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38 | return |
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39 | end |
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40 | |
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41 | NbDim=max(NbDimArray);% spatial dimension of the input field |
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42 | imax=find(NbDimArray==NbDim);% indices of field cells to consider |
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43 | FieldOut.NbDim=NbDim; |
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44 | if NbDim<=1; return; end% stop here for 1D fields |
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45 | |
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46 | %% get bounds and mesh (needed to propose default options for projection objects) |
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47 | % if NbDim>1 |
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48 | CoordMax=zeros(numel(imax),NbDim); |
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49 | CoordMin=zeros(numel(imax),NbDim); |
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50 | Mesh=zeros(1,numel(imax)); |
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51 | for ind=1:numel(imax) |
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52 | if strcmp(CellInfo{imax(ind)}.CoordType,'tps') |
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53 | CoordName=Field.ListVarName{CellInfo{imax(ind)}.CoordIndex};% X,Y coordinates in a single variable |
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54 | CoordMax(ind,NbDim)=max(max(Field.(CoordName)(1:end-3,1,:),[],1),[],3);% max of x component (2D case) |
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55 | CoordMax(ind,NbDim-1)=max(max(Field.(CoordName)(1:end-3,2,:),[],1),[],3);% max of y component (2D case) |
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56 | CoordMin(ind,NbDim)=min(min(Field.(CoordName)(1:end-3,1,:),[],1),[],3); |
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57 | CoordMin(ind,NbDim-1)=min(min(Field.(CoordName)(1:end-3,2,:),[],1),[],3);% min of y component (2D case) |
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58 | else |
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59 | XName=Field.ListVarName{CellInfo{imax(ind)}.CoordIndex(end)}; |
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60 | YName=Field.ListVarName{CellInfo{imax(ind)}.CoordIndex(end-1)}; |
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61 | CoordMax(ind,NbDim)=max(max(Field.(XName))); |
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62 | CoordMin(ind,NbDim)=min(min(Field.(XName))); |
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63 | CoordMax(ind,NbDim-1)=max(max(Field.(YName))); |
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64 | CoordMin(ind,NbDim-1)=min(min(Field.(YName))); |
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65 | % test_x=1;%test for unstructured coordinates |
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66 | if NbDim==3 |
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67 | ZName=Field.ListVarName{CellInfo{imax(ind)}.CoordIndex(1)}; |
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68 | CoordMax(ind,1)=max(max(Field.(ZName))); |
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69 | CoordMin(ind,1)=min(min(Field.(ZName))); |
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70 | end |
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71 | end |
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72 | switch CellInfo{imax(ind)}.CoordType |
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73 | |
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74 | case {'scattered','tps'} %unstructured coordinates |
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75 | NbPoints=CellInfo{imax(ind)}.CoordSize;% total nbre of points |
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76 | Mesh(ind)=(prod(CoordMax(ind,:)-CoordMin(ind,:))/NbPoints)^(1/NbDim); %(volume or area per point)^(1/NbDim) |
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77 | case 'grid'%structured coordinate |
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78 | NbPoints=CellInfo{imax(ind)}.CoordSize;% nbre of points in each direction |
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79 | Mesh(ind)=min((CoordMax(ind,:)-CoordMin(ind,:))./(NbPoints-1)); |
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80 | end |
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81 | end |
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82 | Mesh=min(Mesh); |
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83 | FieldOut.XMax=max(CoordMax(:,end)); |
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84 | FieldOut.XMin=min(CoordMin(:,end)); |
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85 | FieldOut.YMax=max(CoordMax(:,end-1)); |
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86 | FieldOut.YMin=min(CoordMin(:,end-1)); |
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87 | if NbDim==3 |
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88 | FieldOut.ZMax=max(CoordMax(ind,1)); |
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89 | FieldOut.ZMin=min(CoordMin(ind,1)); |
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90 | end |
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91 | % adjust the mesh to a value 1, 2 , 5 *10^n |
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92 | ord=10^(floor(log10(Mesh)));%order of magnitude |
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93 | if Mesh/ord>=5 |
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94 | FieldOut.CoordMesh=5*ord; |
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95 | elseif Mesh/ord>=2 |
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96 | FieldOut.CoordMesh=2*ord; |
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97 | else |
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98 | FieldOut.CoordMesh=ord; |
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99 | end |
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