[871] | 1 | %'find_field_bounds': % find the bounds and typical meshs of coordinates |
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[654] | 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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[809] | 9 | % |
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[654] | 10 | %INPUT |
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[871] | 11 | % Field: Matlab structure describing the input field |
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| 12 | % |
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[809] | 13 | %======================================================================= |
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[1027] | 14 | % Copyright 2008-2018, LEGI UMR 5519 / CNRS UGA G-INP, Grenoble, France |
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[809] | 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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[654] | 31 | function FieldOut=find_field_bounds(Field) |
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[667] | 32 | |
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[654] | 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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[893] | 43 | Check4D=0; |
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| 44 | if NbDim>3 |
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| 45 | NbDim=3; |
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| 46 | Check4D=1; |
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| 47 | end |
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[667] | 48 | FieldOut.NbDim=NbDim; |
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[1028] | 49 | %if NbDim<=1; return; end% stop here for 1D fields |
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[893] | 50 | |
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[654] | 51 | %% get bounds and mesh (needed to propose default options for projection objects) |
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| 52 | % if NbDim>1 |
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| 53 | CoordMax=zeros(numel(imax),NbDim); |
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| 54 | CoordMin=zeros(numel(imax),NbDim); |
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| 55 | Mesh=zeros(1,numel(imax)); |
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[954] | 56 | FieldOut.ProjModeRequest='projection';%default |
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[654] | 57 | for ind=1:numel(imax) |
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| 58 | if strcmp(CellInfo{imax(ind)}.CoordType,'tps') |
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| 59 | CoordName=Field.ListVarName{CellInfo{imax(ind)}.CoordIndex};% X,Y coordinates in a single variable |
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| 60 | CoordMax(ind,NbDim)=max(max(Field.(CoordName)(1:end-3,1,:),[],1),[],3);% max of x component (2D case) |
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| 61 | CoordMax(ind,NbDim-1)=max(max(Field.(CoordName)(1:end-3,2,:),[],1),[],3);% max of y component (2D case) |
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| 62 | CoordMin(ind,NbDim)=min(min(Field.(CoordName)(1:end-3,1,:),[],1),[],3); |
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| 63 | CoordMin(ind,NbDim-1)=min(min(Field.(CoordName)(1:end-3,2,:),[],1),[],3);% min of y component (2D case) |
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| 64 | else |
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[893] | 65 | if Check4D |
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| 66 | CellInfo{imax(ind)}.CoordIndex(4:end)=[]; |
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| 67 | end |
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[1028] | 68 | if isempty(CellInfo{imax(ind)}.CoordIndex) |
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| 69 | FieldName=CellInfo{imax(ind)}.FieldName; |
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| 70 | DimList=Field.VarDimName{imax(ind)}; |
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| 71 | siz=size(DimList); |
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| 72 | |
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| 73 | FieldOut.(DimList{end})=1:siz(end); |
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| 74 | FieldOut.ListVarName=[FieldOut.ListVarName DimList(end)]; |
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| 75 | FieldOut.VarDimName=[FieldOut.VarDimName DimList(end)]; |
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| 76 | CoordMax(ind,numel(siz))=siz(end); |
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| 77 | if numel(siz)>=2 |
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| 78 | FieldOut.(DimList{end-1})=1:siz(end-1); |
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| 79 | CoordMax(ind,numel(siz)-1)=siz(end-1); |
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| 80 | FieldOut.ListVarName=[FieldOut.ListVarName DimList(end-1)]; |
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| 81 | FieldOut.VarDimName=[FieldOut.VarDimName DimList(end-1)]; |
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| 82 | end |
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| 83 | if numel(siz)>=3 |
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| 84 | FieldOut.(DimList{1})=1:siz(1); |
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| 85 | CoordMax(ind,1)=siz(1); |
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| 86 | FieldOut.ListVarName=[FieldOut.ListVarName DimList(1)]; |
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| 87 | FieldOut.VarDimName=[FieldOut.VarDimName DimList(1)]; |
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| 88 | end |
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| 89 | CoordMin(ind,1:numel(siz))=1; |
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| 90 | CellInfo{imax(ind)}.CoordSize=CoordMax(ind,:); |
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| 91 | else |
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| 92 | XName=Field.ListVarName{CellInfo{imax(ind)}.CoordIndex(end)}; |
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| 93 | YName=Field.ListVarName{CellInfo{imax(ind)}.CoordIndex(end-1)}; |
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| 94 | CoordMax(ind,NbDim)=max(max(Field.(XName))); |
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| 95 | CoordMin(ind,NbDim)=min(min(Field.(XName))); |
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| 96 | CoordMax(ind,NbDim-1)=max(max(Field.(YName))); |
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| 97 | CoordMin(ind,NbDim-1)=min(min(Field.(YName))); |
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| 98 | % test_x=1;%test for unstructured coordinates |
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| 99 | if NbDim==3 |
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| 100 | ZName=Field.ListVarName{CellInfo{imax(ind)}.CoordIndex(1)}; |
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| 101 | CoordMax(ind,NbDim-2)=max(max(Field.(ZName))); |
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| 102 | CoordMin(ind,NbDim-2)=min(min(Field.(ZName))); |
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| 103 | end |
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[654] | 104 | end |
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| 105 | end |
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| 106 | switch CellInfo{imax(ind)}.CoordType |
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| 107 | |
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| 108 | case {'scattered','tps'} %unstructured coordinates |
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| 109 | NbPoints=CellInfo{imax(ind)}.CoordSize;% total nbre of points |
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| 110 | Mesh(ind)=(prod(CoordMax(ind,:)-CoordMin(ind,:))/NbPoints)^(1/NbDim); %(volume or area per point)^(1/NbDim) |
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| 111 | case 'grid'%structured coordinate |
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| 112 | NbPoints=CellInfo{imax(ind)}.CoordSize;% nbre of points in each direction |
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[893] | 113 | if Check4D |
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[1028] | 114 | NbPoints=NbPoints(1:3); |
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[893] | 115 | end |
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[654] | 116 | Mesh(ind)=min((CoordMax(ind,:)-CoordMin(ind,:))./(NbPoints-1)); |
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| 117 | end |
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[954] | 118 | if isfield(CellInfo{imax(ind)},'ProjModeRequest') |
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| 119 | if strcmp(CellInfo{imax(ind)}.ProjModeRequest,'interp_tps') |
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| 120 | FieldOut.ProjModeRequest='interp_tps'; |
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| 121 | end |
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| 122 | if strcmp(CellInfo{imax(ind)}.ProjModeRequest,'interp_lin')&& ~strcmp(FieldOut.ProjModeRequest,'interp_tps') |
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| 123 | FieldOut.ProjModeRequest='interp_lin'; |
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| 124 | end |
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[1028] | 125 | end |
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[654] | 126 | end |
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| 127 | Mesh=min(Mesh); |
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| 128 | FieldOut.XMax=max(CoordMax(:,end)); |
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| 129 | FieldOut.XMin=min(CoordMin(:,end)); |
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| 130 | FieldOut.YMax=max(CoordMax(:,end-1)); |
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| 131 | FieldOut.YMin=min(CoordMin(:,end-1)); |
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| 132 | if NbDim==3 |
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| 133 | FieldOut.ZMax=max(CoordMax(ind,1)); |
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[747] | 134 | FieldOut.ZMin=min(CoordMin(ind,1)); |
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[654] | 135 | end |
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| 136 | % adjust the mesh to a value 1, 2 , 5 *10^n |
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| 137 | ord=10^(floor(log10(Mesh)));%order of magnitude |
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| 138 | if Mesh/ord>=5 |
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| 139 | FieldOut.CoordMesh=5*ord; |
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| 140 | elseif Mesh/ord>=2 |
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| 141 | FieldOut.CoordMesh=2*ord; |
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| 142 | else |
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| 143 | FieldOut.CoordMesh=ord; |
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[809] | 144 | end |
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