[581] | 1 | %'find_field_cells': analyse the field structure for input in uvmat functions, grouping the variables into 'fields' with common coordinates |
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[514] | 2 | %------------------------------------------------------------------------ |
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[530] | 3 | % function [CellInfo,NbDim,errormsg]=find_field_cells(Data) |
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[514] | 4 | % |
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| 5 | % OUTPUT: |
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[530] | 6 | % CellInfo: cell of structures describing field cells |
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| 7 | % .CoordType: type of coordinates for each field cell = 'scattered','grid','tps'; |
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| 8 | % .CoordIndex: array of the indices of the variables representing the coordinates (in the order z,y,x) |
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| 9 | % .CoordSize: array of the nbre of values for each coordinate in a grid, nbre of points in the unstructured case |
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[581] | 10 | % .NbCentres_tps: |
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[530] | 11 | % .SubRange_tps |
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| 12 | % .VarIndex: arrays of the variable indices in the field cell |
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| 13 | % .VarIndex_ancillary: indices of ancillary variables |
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| 14 | % _color : color image, the last index, which is not a coordinate variable, represent the 3 color components rgb |
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| 15 | % _discrete: like scalar, but set of data points without continuity, represented as dots in a usual plot, instead of continuous lines otherwise |
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| 16 | % _errorflag: index of error flag |
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| 17 | % _image : B/W image, (behaves like scalar) |
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| 18 | % _vector_x,_y,_z: indices of variables giving the vector components x, y, z |
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| 19 | % _warnflag: index of warnflag |
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[581] | 20 | % .ProjModeRequest= 'interp_lin', 'interp_tps' indicate whether lin interpolation or derivatives (tps) is needed to calculate the requested field |
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[576] | 21 | % .FieldName = operation to be performed to finalise the field cell after projection |
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[530] | 22 | % .SubCheck=0 /1 indicate that the field must be substracted (second entry in uvmat) |
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| 23 | % NbDim: array with the length of CellVarIndex, giving the space dimension of each field cell |
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[514] | 24 | % errormsg: error message |
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| 25 | % |
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| 26 | % INPUT: |
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| 27 | % Data: structure representing fields, output of check_field_structure |
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[575] | 28 | % .ListGlobalAttributes |
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[514] | 29 | % .ListVarName: cell array listing the names (cahr strings) of the variables |
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| 30 | % .VarDimName: cell array of cells containing the set of dimension names for each variable of .ListVarName |
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| 31 | % .VarAttribute: cell array of structures containing the variable attributes: |
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| 32 | % .VarAttribute{ilist}.key=value, where ilist is the variable |
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| 33 | % index, key is the name of the attribute, value its value (char string or number) |
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[575] | 34 | % .Attr1, .Attr2.... |
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| 35 | % case of actual data: |
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| 36 | % .Var1, .Var2... |
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| 37 | % case of data structure, without the data themselves |
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| 38 | % .LisDimName: list of dimension names |
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| 39 | % .DimValue: list of corresponding dimension values |
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[514] | 40 | % HELP: |
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| 41 | % to get the dimensions of arrays common to the field #icell |
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| 42 | % VarIndex=CellVarIndex{icell}; % list of variable indices |
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| 43 | % DimIndex=Data.VarDimIndex{VarIndex(1)} % list of dimensions for each variable in the cell #icell |
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| 44 | % |
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| 45 | %AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA |
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| 46 | % Copyright Joel Sommeria, 2008, LEGI / CNRS-UJF-INPG, sommeria@coriolis-legi.org. |
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| 47 | %AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA |
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| 48 | % This file is part of the toolbox UVMAT. |
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| 49 | % |
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| 50 | % UVMAT is free software; you can redistribute it and/or modify |
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| 51 | % it under the terms of the GNU General Public License as published by |
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| 52 | % the Free Software Foundation; either version 2 of the License, or |
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| 53 | % (at your option) any later version. |
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| 54 | % |
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| 55 | % UVMAT is distributed in the hope that it will be useful, |
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| 56 | % but WITHOUT ANY WARRANTY; without even the implied warranty of |
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| 57 | % MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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| 58 | % GNU General Public License (file UVMAT/COPYING.txt) for more details.for input in proj_field and plot_field |
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| 59 | % group the variables into 'fields' with common dimensions |
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| 60 | |
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[530] | 61 | function [CellInfo,NbDim,errormsg]=find_field_cells(Data) |
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[581] | 62 | CellInfo={}; |
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[530] | 63 | NbDim=0; |
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[535] | 64 | errormsg=''; |
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[530] | 65 | if ~isfield(Data,'ListVarName'), errormsg='the list of variables .ListVarName is missing';return;end |
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| 66 | if ~isfield(Data,'VarDimName'), errormsg='the list of dimensions .VarDimName is missing';return;end |
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[581] | 67 | nbvar=numel(Data.ListVarName);%number of variables in the field structure |
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[530] | 68 | if ~isequal(numel(Data.VarDimName),nbvar), errormsg='.ListVarName and .VarDimName have unequal length';return;end |
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[535] | 69 | % check the existence of variable data |
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| 70 | check_var=1; |
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| 71 | for ilist=1:numel(Data.ListVarName) |
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| 72 | if ~isfield(Data,Data.ListVarName{ilist}) |
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| 73 | check_var=0;% dimensions of data defined, data not needed for this function |
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| 74 | break |
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[530] | 75 | end |
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| 76 | end |
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[535] | 77 | if ~check_var && ~(isfield(Data,'ListDimName')&& isfield(Data,'DimValue')&&isequal(numel(Data.ListDimName),numel(Data.DimValue))) |
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| 78 | errormsg=['missing variable or values of dimensions' Data.ListVarName{ilist}]; |
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| 79 | return |
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| 80 | end |
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[514] | 81 | |
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| 82 | |
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[515] | 83 | %% role of variables and list of requested operations |
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[530] | 84 | %ListRole={'coord_x','coord_y','coord_z','vector_x','vector_y','vector_z','vector_x_tps','vector_y_tps','warnflag','errorflag',... |
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| 85 | % 'ancillary','image','color','discrete','scalar','coord_tps'};% rmq vector_x_tps and vector_y_tps to be replaced by vector_x and vector_y |
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[514] | 86 | Role=num2cell(blanks(nbvar));%initialize a cell array of nbvar blanks |
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[581] | 87 | ProjModeRequest=regexprep(Role,' ',''); % fieldRequest set to '' by default |
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[576] | 88 | FieldName=cell(size(Role)); % fieldRequest set to {} by default |
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[515] | 89 | CheckSub=zeros(size(Role));% =1 for fields to substract |
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[514] | 90 | Role=regexprep(Role,' ','scalar'); % Role set to 'scalar' by default |
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| 91 | if isfield(Data,'VarAttribute') |
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| 92 | for ivar=1:numel(Data.VarAttribute) |
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| 93 | if isfield(Data.VarAttribute{ivar},'Role') |
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| 94 | Role{ivar}=Data.VarAttribute{ivar}.Role; |
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| 95 | end |
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[581] | 96 | if isfield(Data.VarAttribute{ivar},'ProjModeRequest') |
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| 97 | ProjModeRequest{ivar}=Data.VarAttribute{ivar}.ProjModeRequest; |
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[515] | 98 | end |
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[576] | 99 | if isfield(Data.VarAttribute{ivar},'FieldName') |
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| 100 | FieldName{ivar}=Data.VarAttribute{ivar}.FieldName; |
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[515] | 101 | end |
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| 102 | if isfield(Data.VarAttribute{ivar},'CheckSub') |
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| 103 | CheckSub(ivar)=Data.VarAttribute{ivar}.CheckSub; |
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| 104 | end |
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[514] | 105 | end |
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| 106 | end |
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| 107 | |
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[530] | 108 | %% find scattered (unstructured) coordinates |
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[674] | 109 | ivar_coord_x=find(strcmp('coord_x',Role));%find variables with Role='coord_x' |
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[575] | 110 | check_select=false(1,nbvar); |
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| 111 | check_coord=false(1,nbvar); |
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[530] | 112 | CellInfo=cell(1,numel(ivar_coord_x)); |
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| 113 | NbDim=zeros(1,numel(ivar_coord_x)); |
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[674] | 114 | % loop on unstructured coordinate x -> different field cells |
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[530] | 115 | for icell=1:numel(ivar_coord_x) |
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[674] | 116 | DimCell=Data.VarDimName{ivar_coord_x(icell)};% cell of dimension names for ivar_coord_x(icell) |
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| 117 | if ischar(DimCell),DimCell={DimCell};end % transform char to cell for a single dimension |
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| 118 | % look for variables sharing dimension(s) with ivar_coord_x(icell) |
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[530] | 119 | check_cell=zeros(numel(DimCell),nbvar); |
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| 120 | for idim=1:numel(DimCell) |
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| 121 | for ivar=1:nbvar |
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| 122 | check_cell(idim,ivar)=max(strcmp(DimCell{idim},Data.VarDimName{ivar})); |
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| 123 | end |
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[514] | 124 | end |
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[530] | 125 | check_cell=sum(check_cell,1)==numel(DimCell);%logical array=1 for variables belonging to the current cell |
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[674] | 126 | VarIndex=find(check_cell);% list of detected variable indices |
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[530] | 127 | if ~(numel(VarIndex)==1 && numel(DimCell)==1)% exclude case of isolated coord_x variable (treated later) |
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| 128 | if ~(numel(VarIndex)==1 && numel(DimCell)>1)% a variable is associated to coordinate |
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| 129 | CellInfo{icell}.CoordIndex=ivar_coord_x(icell); |
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| 130 | % size of coordinate var |
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[535] | 131 | if check_var |
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| 132 | CellInfo{icell}.CoordSize=numel(Data.(Data.ListVarName{ivar_coord_x(icell)})); |
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| 133 | else |
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[530] | 134 | for idim=1:numel(DimCell) |
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[674] | 135 | check_index= strcmp(DimCell{idim},Data.ListDimName); |
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| 136 | CellInfo{icell}.CoordSize(idim)=Data.DimValue(check_index); |
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[530] | 137 | end |
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| 138 | CellInfo{icell}.CoordSize=prod(CellInfo{icell}.CoordSize); |
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| 139 | end |
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| 140 | ind_y=find(strcmp('coord_y',Role(VarIndex))); |
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| 141 | if numel(VarIndex)==2||isempty(ind_y)% no variable, except possibly y |
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| 142 | NbDim(icell)=1; |
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| 143 | else |
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| 144 | CellInfo{icell}.CoordType='scattered'; |
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| 145 | ind_z=find(strcmp('coord_z',Role(VarIndex))); |
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| 146 | if numel(VarIndex)==3||isempty(ind_z)% no z variable, except possibly as a fct z(x,y) |
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| 147 | CellInfo{icell}.CoordIndex=[VarIndex(ind_y) CellInfo{icell}.CoordIndex]; |
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| 148 | NbDim(icell)=2; |
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| 149 | else |
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| 150 | CellInfo{icell}.CoordIndex=[VarIndex(ind_z) CellInfo{icell}.CoordIndex]; |
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| 151 | NbDim(icell)=3; |
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| 152 | end |
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| 153 | end |
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[514] | 154 | end |
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[530] | 155 | CellInfo{icell}.VarIndex=VarIndex; |
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| 156 | check_select=check_select|check_cell; |
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[514] | 157 | end |
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[530] | 158 | end |
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| 159 | |
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| 160 | %% look for tps coordinates |
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[535] | 161 | ivar_remain=find(~check_select);% indices of remaining variables (not already selected) |
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[530] | 162 | check_coord_tps= strcmp('coord_tps',Role(~check_select)); |
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[535] | 163 | ivar_tps=ivar_remain(check_coord_tps);% variable indices corresponding to tps coordinates |
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[581] | 164 | |
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| 165 | % loop on the tps coordinate sets |
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[530] | 166 | for icell_tps=1:numel(ivar_tps) |
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[581] | 167 | check_cell=zeros(1,nbvar);% =1 for the variables selected in the current cell |
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[582] | 168 | check_cell(ivar_tps(icell_tps))=1;% mark the coordinate variable as selected |
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[535] | 169 | DimCell=Data.VarDimName{ivar_tps(icell_tps)};% dimension names for the current tps coordinate variable |
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| 170 | icell=numel(CellInfo)+icell_tps; % new field cell index |
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| 171 | CellInfo{icell}.CoordIndex=ivar_tps(icell_tps);% index of the tps coordinate variable |
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[530] | 172 | if numel(DimCell)==3 |
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| 173 | VarDimName=Data.VarDimName(~check_select); |
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| 174 | for ivardim=1:numel(VarDimName) |
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| 175 | if strcmp(VarDimName{ivardim},DimCell{3}) |
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[581] | 176 | CellInfo{icell}.NbCentres_tps= ivar_remain(ivardim);% nbre of sites for each tps subdomain |
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| 177 | check_cell(ivar_remain(ivardim))=1;% mark the variable as selected |
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[675] | 178 | elseif strcmp(VarDimName{ivardim}{1},DimCell{2}) && numel(VarDimName{ivardim})>=3 && strcmp(VarDimName{ivardim}{3},DimCell{3}) |
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[581] | 179 | CellInfo{icell}.SubRange_tps=ivar_remain(ivardim);% subrange definiton for tps |
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| 180 | check_cell(ivar_remain(ivardim))=1;% mark the variable as selected |
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| 181 | elseif strcmp(VarDimName{ivardim}{1},DimCell{1}) && strcmp(VarDimName{ivardim}{2},DimCell{3})% variable |
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| 182 | check_cell(ivar_remain(ivardim))=1;% mark the variable as selected |
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[530] | 183 | end |
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| 184 | end |
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[514] | 185 | end |
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[530] | 186 | CellInfo{icell}.CoordType='tps'; |
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| 187 | CellInfo{icell}.VarIndex=find(check_cell); |
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[535] | 188 | if check_var |
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| 189 | NbDim(icell)=size(Data.(Data.ListVarName{CellInfo{icell}.CoordIndex}),2); |
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| 190 | CellInfo{icell}.CoordSize=size(Data.(Data.ListVarName{CellInfo{icell}.CoordIndex}),1)*size(Data.(Data.ListVarName{CellInfo{icell}.CoordIndex}),3); |
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| 191 | else |
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[530] | 192 | check_index_1= strcmp(DimCell{1},Data.ListDimName); |
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| 193 | check_index_2= strcmp(DimCell{2},Data.ListDimName); |
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| 194 | NbDim(icell)=Data.DimValue(check_index_2); |
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[648] | 195 | if numel(DimCell)>=3 |
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| 196 | check_index_3= strcmp(DimCell{3},Data.ListDimName); |
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[530] | 197 | CellInfo{icell}.CoordSize=Data.DimValue(check_index_1)*Data.DimValue(check_index_3); |
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[648] | 198 | end |
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[515] | 199 | end |
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[530] | 200 | check_select=check_select|check_cell; |
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[514] | 201 | end |
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| 202 | |
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[535] | 203 | %% look for coordinate variables and corresponding gridded data: |
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| 204 | % coordinate variables are variables associated with a single dimension, defining the coordinate values |
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| 205 | % two cases: 1)the coordiante variable represents the set of coordiante values |
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| 206 | % 2)the coordinate variable contains only two elements, representing the coordinate bounds for the dimension with the same name as the cordinate |
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| 207 | ivar_remain=find(~check_select);% indices of remaining variables, not already taken into account |
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| 208 | ListVarName=Data.ListVarName(~check_select);%list of remaining variables |
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[530] | 209 | VarDimName=Data.VarDimName(~check_select);%dimensions of remaining variables |
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[575] | 210 | check_coord_select= cellfun(@numel,VarDimName)==1|cellfun(@ischar,VarDimName)==1;% find remaining variables with a single dimension |
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[690] | 211 | check_coord_select=check_coord_select & ~strcmp('ancillary',Role(~check_select));% do not select ancillary variables as coordinates |
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[580] | 212 | %check_coord(~check_select)=check_coord_select; |
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| 213 | ListCoordIndex=ivar_remain(check_coord_select);% indices of remaining variables with a single dimension |
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| 214 | ListCoordName=ListVarName(check_coord_select);% corresponding names of remaining variables with a single dimension |
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| 215 | ListDimName=VarDimName(check_coord_select);% dimension names of remaining variables with a single dimension |
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[535] | 216 | |
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| 217 | %remove redondant variables -> keep only one variable per dimension |
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[530] | 218 | check_keep=logical(ones(size(ListDimName))); |
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| 219 | for idim=1:numel(ListDimName) |
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[535] | 220 | prev_ind=strcmp(ListDimName{idim},ListDimName(1:idim-1));% check whether the dimension is already taken into account |
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[530] | 221 | if ~isempty(prev_ind) |
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[535] | 222 | if strcmp(ListCoordName{idim},ListDimName{idim}) %variable with the same name as the coordinate taken in priority |
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[530] | 223 | check_keep(prev_ind)=0; |
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| 224 | else |
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| 225 | check_keep(idim)=0; |
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[514] | 226 | end |
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| 227 | end |
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| 228 | end |
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[581] | 229 | ListCoordIndex=ListCoordIndex(check_keep);% list of coordinate variable indices |
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[535] | 230 | ListCoordName=ListCoordName(check_keep);% list of coordinate variable names |
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| 231 | ListDimName=ListDimName(check_keep);% list of coordinate dimension names |
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[514] | 232 | |
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[535] | 233 | % determine dimension sizes |
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| 234 | CoordSize=zeros(size(ListCoordIndex)); |
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[530] | 235 | for ilist=1:numel(ListCoordIndex) |
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| 236 | if iscell(ListDimName{ilist}) |
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| 237 | ListDimName(ilist)=ListDimName{ilist};%transform cell to string |
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[514] | 238 | end |
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[535] | 239 | if check_var% if the list of dimensions has been directly defined, no variable data available |
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| 240 | CoordSize(ilist)=numel(Data.(ListCoordName{ilist}));% number of elements in the variable corresponding to the dimension #ilist |
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[530] | 241 | else |
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[535] | 242 | check_index= strcmp(ListDimName{ilist},Data.ListDimName);% find the index in the list of dimensions |
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| 243 | CoordSize(ilist)=Data.DimValue(check_index);% find the corresponding dimension value |
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[530] | 244 | end |
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[535] | 245 | if CoordSize(ilist)==2% case of uniform grid coordinate defined by lower and upper bounds only |
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| 246 | ListDimName{ilist}=ListCoordName{ilist};% replace the dimension name by the coordinate variable name |
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[514] | 247 | end |
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[530] | 248 | end |
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[535] | 249 | |
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[675] | 250 | %% group the remaining variables in cells sharing the same coordinate variables |
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[530] | 251 | NewCellInfo={}; |
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| 252 | NewCellDimIndex={}; |
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| 253 | NewNbDim=[]; |
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[535] | 254 | for ivardim=1:numel(VarDimName) % loop at the list of remaining variables |
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| 255 | DimCell=VarDimName{ivardim};% dimension names of the current variable |
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[530] | 256 | if ischar(DimCell), DimCell={DimCell}; end %transform char to cell if needed |
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| 257 | DimIndices=[]; |
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| 258 | for idim=1:numel(DimCell) |
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[535] | 259 | ind_dim=find(strcmp(DimCell{idim},ListDimName));%find the dim index in the list of coordinate variables |
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[530] | 260 | if ~isempty(ind_dim) |
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| 261 | DimIndices=[DimIndices ind_dim]; %update the list of coord dimensions included in DimCell |
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[535] | 262 | if check_var && CoordSize(ind_dim)==2 % determine the size of the coordinate in case of coordiante variable limited to lower and upper bounds |
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[543] | 263 | if isvector(Data.(ListVarName{ivardim})) |
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[535] | 264 | if numel(Data.(ListVarName{ivardim}))>2 |
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| 265 | CoordSize(ind_dim)=numel(Data.(ListVarName{ivardim})); |
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| 266 | end |
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| 267 | else |
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| 268 | CoordSize(ind_dim)=size(Data.(ListVarName{ivardim}),idim); |
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| 269 | end |
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| 270 | end |
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[514] | 271 | end |
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[530] | 272 | end |
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[535] | 273 | % look for cells of variables with the same coordinate variables |
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[530] | 274 | check_previous=0; |
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| 275 | for iprev=1:numel(NewCellInfo) |
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| 276 | if isequal(DimIndices,NewCellDimIndex{iprev}) |
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| 277 | check_previous=1; |
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| 278 | NewCellInfo{iprev}.VarIndex=[NewCellInfo{iprev}.VarIndex ivar_remain(ivardim)];%append the current variable index to the found field cell |
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| 279 | break |
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[514] | 280 | end |
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[530] | 281 | end |
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[535] | 282 | % create a new cell if no previous one contains the coordinate variables |
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[530] | 283 | if ~check_previous |
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| 284 | nbcell=numel(NewCellInfo)+1; |
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| 285 | NewCellDimIndex{nbcell}=DimIndices; |
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| 286 | NewCellInfo{nbcell}.VarIndex=ivar_remain(ivardim);% create a new field cell with the current variable index |
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| 287 | NewNbDim(nbcell)=numel(DimIndices); |
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| 288 | NewCellInfo{nbcell}.CoordType='grid'; |
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| 289 | NewCellInfo{nbcell}.CoordSize=CoordSize; |
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| 290 | NewCellInfo{nbcell}.CoordIndex=ListCoordIndex(DimIndices); |
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| 291 | end |
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| 292 | end |
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| 293 | NbDim=[NbDim NewNbDim]; |
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| 294 | CellInfo=[CellInfo NewCellInfo]; |
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| 295 | |
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[569] | 296 | %% suppress empty cells or cells with a single coordinate variable |
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| 297 | check_remove=false(size(CellInfo)); |
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| 298 | for icell=1:numel(check_remove) |
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| 299 | if isempty(CellInfo{icell})||(numel(CellInfo{icell}.VarIndex)==1 && check_coord(icell)) |
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| 300 | check_remove(icell)=1; |
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| 301 | end |
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| 302 | end |
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| 303 | CellInfo(check_remove)=[]; |
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| 304 | NbDim(check_remove)=[]; |
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[530] | 305 | |
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| 306 | %% document roles of non-coordinate variables |
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| 307 | for icell=1:numel(CellInfo) |
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| 308 | VarIndex=CellInfo{icell}.VarIndex; |
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| 309 | for ivar=VarIndex |
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| 310 | if isfield(CellInfo{icell},['VarIndex_' Role{ivar}]) |
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| 311 | CellInfo{icell}.(['VarIndex_' Role{ivar}])=[CellInfo{icell}.(['VarIndex_' Role{ivar}]) ivar]; |
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| 312 | else |
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| 313 | CellInfo{icell}.(['VarIndex_' Role{ivar}])= ivar; |
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[514] | 314 | end |
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[581] | 315 | if ~isempty(ProjModeRequest{ivar}) |
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| 316 | CellInfo{icell}.ProjModeRequest=ProjModeRequest{ivar}; |
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[514] | 317 | end |
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[576] | 318 | if ~isempty(FieldName{ivar}) |
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| 319 | CellInfo{icell}.FieldName=FieldName{ivar}; |
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[514] | 320 | end |
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[530] | 321 | if CheckSub(ivar)==1 |
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| 322 | CellInfo{icell}.CheckSub=1; |
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[514] | 323 | end |
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| 324 | end |
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| 325 | end |
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