source: trunk/src/find_field_cells.m @ 1083

%'find_field_cells': analyse the field structure for input in uvmat functions, grouping the variables  into 'fields' with common coordinates
%------------------------------------------------------------------------
% function  [CellInfo,NbDim,errormsg]=find_field_cells(Data)
%
% OUTPUT:
% CellInfo: cell of structures describing field cells
%     .CoordType:  type of coordinates for each field cell = 'scattered','grid','tps';
%     .CoordIndex: array of the indices of the variables representing the coordinates (in the order z,y,x)
%     .CoordSize: array of the nbre of values for each  coordinate in a grid, nbre of points in the unstructured case
%     .NbCentres_tps:
%     .SubRange_tps
%     .VarIndex: arrays of the variable indices in the field cell
%     .VarIndex_ancillary: indices of ancillary variables
%              _color : color image, the last index, which is not a coordinate variable, represent the 3 color components rgb
%              _discrete: like scalar, but set of data points without continuity, represented as dots in a usual plot, instead of continuous lines otherwise
%              _errorflag: index of error flag
%              _image   : B/W image, (behaves like scalar)
%              _vector_x,_y,_z: indices of variables giving the vector components x, y, z
%              _warnflag: index of warnflag 
%              _histo: index of variable used as histogram
%       .DimIndex
%      .ProjModeRequest= 'interp_lin', 'interp_tps' indicate whether lin interpolation  or derivatives (tps) is needed to calculate the requested field
%      .FieldName = operation to be performed to finalise the field cell after projection
%      .SubCheck=0 /1 indicate that the field must be substracted (second  entry in uvmat)
% NbDim: array with the length of CellVarIndex, giving the space dimension of each field cell
% errormsg: error message
%   
% INPUT:
% Data: structure representing fields, output of check_field_structure
%            .ListGlobalAttributes
%            .ListVarName: cell array listing the names (cahr strings) of the variables
%            .VarDimName: cell array of cells containing the set of dimension names for each variable of .ListVarName
%            .VarAttribute: cell array of structures containing the variable attributes: 
%                     .VarAttribute{ilist}.key=value, where ilist is the variable
%                     index, key is the name of the attribute, value its value (char string or number)
%            .Attr1, .Attr2....
%        case of actual data:
%            .Var1, .Var2...
%        case of data structure, without the  data themselves
%            .LisDimName: list of dimension names
%            .DimValue: list of corresponding dimension values
% HELP: 
% to get the dimensions of arrays common to the field #icell
%         VarIndex=CellVarIndex{icell}; % list of variable indices
%         DimIndex=Data.VarDimIndex{VarIndex(1)} % list of dimensions for each variable in the cell #icell

%=======================================================================
% Copyright 2008-2020, LEGI UMR 5519 / CNRS UGA G-INP, Grenoble, France
%   http://www.legi.grenoble-inp.fr
%   Joel.Sommeria - Joel.Sommeria (A) legi.cnrs.fr
%
%     This file is part of the toolbox UVMAT.
%
%     UVMAT is free software; you can redistribute it and/or modify
%     it under the terms of the GNU General Public License as published
%     by the Free Software Foundation; either version 2 of the license,
%     or (at your option) any later version.
%
%     UVMAT is distributed in the hope that it will be useful,
%     but WITHOUT ANY WARRANTY; without even the implied warranty of
%     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
%     GNU General Public License (see LICENSE.txt) for more details.
%=======================================================================

%    group the variables  into 'fields' with common dimensions

function [CellInfo,NbDim,errormsg]=find_field_cells(Data)
CellInfo={};%default output
%NbDim=0;
NbDim=[];
errormsg='';
if ~isfield(Data,'ListVarName'), errormsg='the list of variables .ListVarName is missing';return;end
if ~isfield(Data,'VarDimName'), errormsg='the list of dimensions .VarDimName is missing';return;end
nbvar=numel(Data.ListVarName);%number of variables in the field structure
if ~isequal(numel(Data.VarDimName),nbvar), errormsg='.ListVarName and .VarDimName have unequal length';return;end
% check the existence of variable data
check_var=1;
for ilist=1:numel(Data.ListVarName)
    if ~isfield(Data,Data.ListVarName{ilist})
        check_var=0;% dimensions of array defined, but the corresponding array is not given
        break
    end
end

%% role of variables and list of requested operations
%ListRole={'coord_x','coord_y','coord_z','vector_x','vector_y','vector_z','vector_x_tps','vector_y_tps','warnflag','errorflag',...
%   'ancillary','image','color','discrete','scalar','coord_tps'};% rmq vector_x_tps and vector_y_tps to be replaced by vector_x and vector_y
Role=num2cell(blanks(nbvar));%initialize a cell array of nbvar blanks
ProjModeRequest=regexprep(Role,' ',''); % fieldRequest set to '' by default
FieldName=cell(size(Role)); % fieldRequest set to {} by default
CheckSub=zeros(size(Role));% =1 for fields to substract
%Role=regexprep(Role,' ','scalar'); % Role set to 'scalar' by default
if isfield(Data,'VarAttribute')
    for ivar=1:numel(Data.VarAttribute)
        if isfield(Data.VarAttribute{ivar},'Role')
            Role{ivar}=Data.VarAttribute{ivar}.Role;
        end
        if isfield(Data.VarAttribute{ivar},'ProjModeRequest')
            ProjModeRequest{ivar}=Data.VarAttribute{ivar}.ProjModeRequest;
        end
        if isfield(Data.VarAttribute{ivar},'FieldName')
            FieldName{ivar}=Data.VarAttribute{ivar}.FieldName;
        end
        if isfield(Data.VarAttribute{ivar},'CheckSub')
            CheckSub(ivar)=Data.VarAttribute{ivar}.CheckSub;
        end
    end
end

%% detect  fields with different roles
ind_scalar=find(strcmp('scalar',Role));
ind_errorflag=find(strcmp('errorflag',Role));
ind_image=find(strcmp('image',Role));
ind_vector_x=[find(strcmp('vector_x',Role)) find(strcmp('vector_x_tps',Role))];
if ~isempty(ind_vector_x)
    ind_vector_y=[find(strcmp('vector_y',Role)) find(strcmp('vector_y_tps',Role))];
    ind_vector_z=find(strcmp('vector_z',Role));
    ind_warnflag=find(strcmp('warnflag',Role));
    ind_ancillary=find(strcmp('ancillary',Role));
end
ind_discrete=find(strcmp('discrete',Role));
ind_coord_x=[find(strcmp('coord_x',Role)) find(strcmp('histo',Role))];
ind_coord_y=find(strcmp('coord_y',Role));
ind_coord_z=find(strcmp('coord_z',Role));
ind_histo=find(strcmp('histo',Role));
ind_coord_tps=find(strcmp('coord_tps',Role));
check_string=cellfun(@ischar,Data.VarDimName)==1;
index_string=find(check_string);
for ivar=index_string
    Data.VarDimName{ivar}={Data.VarDimName{ivar}};%transform char strings into cells
end
check_coord_names= cellfun(@numel,Data.VarDimName)==1;
check_coord_raster=false(size(check_coord_names));% check variables describing regular mesh (raster coordinates), from two values, min and max.
if check_var
    for ivar=find(check_coord_names)
        if numel(Data.(Data.ListVarName{ivar}))==2
            check_coord_raster(ivar)=true;
        end
    end
else
    for ivar=find(check_coord_names)
        DimIndex=find(strcmp(Data.VarDimName{ivar},Data.ListDimName));
        if Data.DimValue(DimIndex)==2
            check_coord_raster(ivar)=true;
        end
    end
end


%% initate cells around each scalar field with different coordinates
% index_remove=[];
% index_coord_x=zeros(size(ind_coord_x));
cell_counter=0;
DimCell={};
for iscalar=1:numel(ind_scalar) 
    icell=[];
    for iprev=1:numel(DimCell)-1
        if isequal(DimCell{iprev},Data.VarDimName{ind_scalar(iscalar)})
            icell=iprev;
            break
        end
    end
    if isempty(icell)
        cell_counter=cell_counter+1;
        icell=cell_counter;
        CellInfo{icell}.VarType='scalar';
        DimCell{icell}=Data.VarDimName{ind_scalar(iscalar)};
        DimCell_var=Data.VarDimName{ind_scalar(iscalar)};% cell of dimension names for ivar_coord_x(icell)
        CellInfo{icell}.VarIndex_scalar=ind_scalar(iscalar);
        CellInfo{icell}.VarIndex=ind_scalar(iscalar);
    else
        CellInfo{iprev}.VarIndex_scalar=[CellInfo{iprev}.VarIndex_scalar ind_scalar(iscalar)];
        CellInfo{iprev}.VarIndex=[CellInfo{iprev}.VarIndex ind_scalar(iscalar)];
    end
end

%% initate or complement cells around each vector field with different coordinates
for index_list=1:numel(ind_vector_x)
    icell=[];
    for iprev=1:numel(DimCell)% look for previous cells of vectors with the same dimensions
        if isequal(DimCell{iprev},Data.VarDimName{ind_vector_x(index_list)})&& ~strcmp(CellInfo{iprev}.VarType, 'scalar')
            icell=iprev;
            break
        end
    end
    if isempty(icell)% new cell
        cell_counter=cell_counter+1;    
        icell=cell_counter;
        CellInfo{icell}.VarType='vector';
        DimCell{icell}=Data.VarDimName{ind_vector_x(index_list)};   
        CellInfo{icell}.VarIndex=ind_vector_x(index_list);
        CellInfo{icell}.VarIndex_vector_x=ind_vector_x(index_list);
    else
        CellInfo{icell}.VarIndex=[CellInfo{icell}.VarIndex ind_vector_x(index_list)];
        if isfield(CellInfo{icell},'VarIndex_vector_x')
            CellInfo{icell}.VarIndex_vector_x=[CellInfo{icell}.VarIndex_vector_x ind_vector_x(index_list)];
        else
            CellInfo{icell}.VarIndex_vector_x=ind_vector_x(index_list);
        end
    end
end

%% complement with vector_y
if ~isempty(ind_vector_x)
    for index_list=1:numel(ind_vector_y)
        for iprev=1:numel(DimCell)
            if isequal(DimCell{iprev},Data.VarDimName{ind_vector_y(index_list)})&& ~strcmp(CellInfo{iprev}.VarType, 'scalar')
                icell=iprev;
                break
            end
        end
        CellInfo{icell}.VarIndex=[CellInfo{icell}.VarIndex ind_vector_y(index_list)];
        if isfield(CellInfo{icell},'VarIndex_vector_y')
             CellInfo{icell}.VarIndex_vector_y=[CellInfo{icell}.VarIndex_vector_y ind_vector_y(index_list)];
        else
            CellInfo{icell}.VarIndex_vector_y=ind_vector_y(index_list);
        end
    end
    
    %% look for the associated z vector component
    for index_list=1:numel(ind_vector_z)
        for iprev=1:numel(DimCell)
            if isequal(DimCell{iprev},Data.VarDimName{ind_vector_z(index_list)})&& ~strcmp(CellInfo{iprev}.VarType, 'scalar')
                icell=iprev;
                break
            end
        end
        CellInfo{icell}.VarIndex=[CellInfo{icell}.VarIndex ind_vector_z(index_list)];
        if isfield(CellInfo{icell},'VarIndex_vector_z')
            CellInfo{icell}.VarIndex_vector_z=[CellInfo{icell}.VarIndex_vector_z ind_vector_z(index_list)];
        else
            CellInfo{icell}.VarIndex_vector_z=ind_vector_z(index_list);
        end
        nbvar=3;
    end
    
    %% look for the associated vector color scalar (ancillary)
    for index_list=1:numel(ind_ancillary)
        for iprev=1:numel(DimCell)
            if isequal(DimCell{iprev},Data.VarDimName{ind_ancillary(index_list)})&& ~strcmp(CellInfo{iprev}.VarType, 'scalar')
                icell=iprev;
                break
            end
        end
        CellInfo{icell}.VarIndex=[CellInfo{icell}.VarIndex ind_ancillary(index_list)];
        if isfield(CellInfo{icell},'VarIndex_ancillary')
            CellInfo{icell}.VarIndex_ancillary=[CellInfo{icell}.VarIndex_ancillary ind_ancillary(index_list)];
        else
             CellInfo{icell}.VarIndex_ancillary=ind_ancillary(index_list);
        end
    end
    
    %% look for the associated warnflag
    for index_list=1:numel(ind_warnflag)
        for iprev=1:numel(DimCell)
            if isequal(DimCell{iprev},Data.VarDimName{ind_warnflag(index_list)})
                icell=iprev;
                break
            end
        end
        CellInfo{icell}.VarIndex=[CellInfo{icell}.VarIndex ind_warnflag(index_list)];
        if isfield(CellInfo{icell},'VarIndex_warnflag')
            CellInfo{icell}.VarIndex_warnflag=[CellInfo{icell}.VarIndex_warnflag ind_ancillary(index_list)];
        else
            CellInfo{icell}.VarIndex_warnflag=ind_warnflag(index_list);
        end
    end
end

%% look for the associated errorflag
for index_list=1:numel(ind_errorflag)
    for iprev=1:numel(DimCell)
        if isequal(DimCell{iprev},Data.VarDimName{ind_errorflag(index_list)})
            icell=iprev;
            break
        end
    end
    CellInfo{icell}.VarIndex=[CellInfo{icell}.VarIndex ind_errorflag(index_list)];
    if isfield(CellInfo{icell},'VarIndex_errorflag')
        CellInfo{icell}.VarIndex_errorflag=[CellInfo{icell}.VarIndex_errorflag ind_errorflag(index_list)];
    else
        CellInfo{icell}.VarIndex_errorflag=ind_errorflag(index_list);
    end
end


%% find coordinates for each cell around field variables, scalars or vectors
for icell=1:numel(CellInfo)
    CellInfo{icell}.CoordType='';
    ind_var=CellInfo{icell}.VarIndex(1);
    DimCell_var=Data.VarDimName{ind_var};% cell of dimension names for ivar_coord_x(icell)
    if ~check_var
        for idim=1:numel(DimCell_var)
            CellInfo{icell}.DimIndex(idim)=find(strcmp(DimCell_var{idim},Data.ListDimName));
        end
    end
    %look for z scattered coordinates
    if isempty(ind_coord_z)
        NbDim(icell)=2;
        CellInfo{icell}.CoordIndex=[0 0];
    else
        NbDim(icell)=3;
        CellInfo{icell}.CoordIndex=[0 0 0];
        for ivar=ind_coord_z
            DimCell=Data.VarDimName{ivar};
            if isequal(DimCell,DimCell_var)
                CellInfo{icell}.CoordType='scattered';
                CellInfo{icell}.CoordIndex(1)=ivar;
                CellInfo{icell}.ZName=Data.ListVarName{ivar};
                CellInfo{icell}.ZIndex=ivar;
                break
            end
        end
    end
    % look for y coordinate
    for ivar=ind_coord_y
        % detect scattered y coordinates, variable with the same dimension(s) as the field variable considered
        DimCell=Data.VarDimName{ivar};
        if isequal(DimCell,DimCell_var)
            CellInfo{icell}.CoordType='scattered';
            CellInfo{icell}.CoordIndex(NbDim(icell)-1)=ivar;
            CellInfo{icell}.YName=Data.ListVarName{ivar};
            CellInfo{icell}.YIndex=ivar;
            break
        end
    end
    
    %look for x coordinates
    if strcmp(CellInfo{icell}.CoordType,'scattered')
        for ivar=ind_coord_x
            DimCell=Data.VarDimName{ivar};
            if isequal(DimCell,DimCell_var)
                CellInfo{icell}.CoordIndex(NbDim(icell))=ivar;
                CellInfo{icell}.XName=Data.ListVarName{ivar};
                CellInfo{icell}.XIndex=ivar;
                break
            end
        end
    end
    if isfield(CellInfo{icell},'ZName')
        if isfield(CellInfo{icell},'YName')&& isfield(CellInfo{icell},'XName')
            continue %scattered coordinates OK
        end
    else
        if isfield(CellInfo{icell},'YName')
            if isfield(CellInfo{icell},'XName')
                NbDim(icell)=2;
                continue %scattered coordinates OK
            end
        else
            if isfield(CellInfo{icell},'XName') % only one coordinate x, switch vector field to 1D plot
                for ind=1:numel(CellInfo{icell}.VarIndex)
                    Role{CellInfo{icell}.VarIndex(ind)}='coord_y';
                end
                continue
            end
        end
    end
    
    %look for grid  coordinates
    if isempty(CellInfo{icell}.CoordType)
        NbDim(icell)=numel(DimCell_var);
        CellInfo{icell}.DimOrder=[];
        if NbDim(icell)==3
            if strcmp(DimCell_var{3},'rgb')
                NbDim(icell)=2;% case of color images
            else
                %coord z
                for ivar=ind_coord_z
                    if check_coord_names(ivar)
                        DimRank=find(strcmp(Data.VarDimName{ivar},DimCell_var));
                        check_coord=~isempty(DimRank);
                    elseif check_coord_raster(ivar)
                        DimRank=find(strcmp(Data.ListVarName{ivar},DimCell_var));
                        check_coord=~isempty(DimRank);
                    end
                    if check_coord
                        CellInfo{icell}.CoordType='grid';
                        CellInfo{icell}.CoordIndex(1)=ivar;
                        CellInfo{icell}.ZName=Data.ListVarName{ivar};
                        CellInfo{icell}.ZIndex=ivar;
                        CellInfo{icell}.DimOrder=DimRank;
                        break
                    end
                end
            end
        end
        for ivar=ind_coord_y
            if check_coord_names(ivar)
                DimRank=find(strcmp(Data.VarDimName{ivar},DimCell_var));
                check_coord=~isempty(DimRank);
            elseif check_coord_raster(ivar)
                DimRank=find(strcmp(Data.ListVarName{ivar},DimCell_var));
                check_coord=~isempty(DimRank);
            end
            if check_coord
                CellInfo{icell}.CoordType='grid';
                CellInfo{icell}.CoordIndex(NbDim(icell)-1)=ivar;
                CellInfo{icell}.YName=Data.ListVarName{ivar};
                CellInfo{icell}.YIndex=ivar;
                CellInfo{icell}.DimOrder=[CellInfo{icell}.DimOrder DimRank];
                break
            end
        end
        for ivar=ind_coord_x
            if check_coord_names(ivar)
                DimRank=find(strcmp(Data.VarDimName{ivar},DimCell_var));
                check_coord=~isempty(DimRank);
            elseif check_coord_raster(ivar)
                DimRank=find(strcmp(Data.ListVarName{ivar},DimCell_var));
                check_coord=~isempty(DimRank);
            end
            %             check_coord= (check_coord_names(ivar) && strcmp(Data.VarDimName{ivar},DimCell_var{NbDim(icell)}))||...% coord variable
            %                 (check_coord_raster(ivar) && strcmp(Data.ListVarName{ivar},DimCell_var{NbDim(icell)})); % raster coord defined by min and max
            if check_coord
                CellInfo{icell}.CoordIndex(NbDim(icell))=ivar;
                CellInfo{icell}.XName=Data.ListVarName{ivar};
                CellInfo{icell}.XIndex=ivar;
                CellInfo{icell}.DimOrder=[CellInfo{icell}.DimOrder DimRank];
                break
            end
        end
    end
    %look for tps coordinates
    for ivar=ind_coord_tps
        DimCell=Data.VarDimName{ivar};
        if  numel(DimCell)==3 && strcmp(DimCell{1},DimCell_var{1})
            CellInfo{icell}.CoordType='tps';
            CellInfo{icell}.CoordIndex=ivar;
            if check_var
                NbDim(icell)=size(Data.(Data.ListVarName{ivar}),2);
            else
                DimIndex=find(strcmp(Data.VarDimName{ivar},Data.ListDimName));
                NbDim(icell)= Data.DimValue(DimIndex);
            end
            for ivardim=1:numel(Data.VarDimName)
                if strcmp(Data.VarDimName{ivardim},DimCell{3})
                    CellInfo{icell}.NbCentres_tps= ivardim;% nbre of sites for each tps subdomain
                elseif strcmp(Data.VarDimName{ivardim}{1},DimCell{2}) && numel(Data.VarDimName{ivardim})>=3 && strcmp(Data.VarDimName{ivardim}{3},DimCell{3})
                    CellInfo{icell}.SubRange_tps=ivardim;% subrange definiton for tps
                end
            end
        end
        break
    end
end

%% get number of coordinate points for each cell
if check_var
    for icell=1:numel(CellInfo)
        switch CellInfo{icell}.CoordType
            case 'scattered'
                CellInfo{icell}.CoordSize=numel(Data.(CellInfo{icell}.XName));
            case 'grid'
                VarName=Data.ListVarName{CellInfo{icell}.VarIndex(1)};
                if NbDim(icell)==3
                    CellInfo{icell}.CoordSize=[size(Data.(VarName),3) size(Data.(VarName),2) size(Data.(VarName),1)];
                else
                    CellInfo{icell}.CoordSize=[size(Data.(VarName),1) size(Data.(VarName),2)];
                end
            case 'tps'
                NbDim(icell)=size(Data.(Data.ListVarName{CellInfo{icell}.CoordIndex}),2);
                CellInfo{icell}.CoordSize=size(Data.(Data.ListVarName{CellInfo{icell}.CoordIndex}),1);
        end
    end
else
    for icell=1:numel(CellInfo)
        CellInfo{icell}.CoordSize=size(Data.DimValue(CellInfo{icell}.DimIndex));
    end
end

%% cell for ordinary plots: look for coord_x not included in scalar or vector cells
iremove=false(1,numel(ind_coord_y));
for ilist=1:numel(ind_coord_y)% remove the y coordinates which have been used already in scalar or vector fields
    for icell=1:numel(CellInfo)
        if isfield(CellInfo{icell},'YIndex')&& isequal(CellInfo{icell}.YIndex,ind_coord_y(ilist))
            iremove(ilist)=true;
            continue
        end
    end
end
ind_coord_y(iremove)=[];
if ~isempty(ind_coord_x)
    y_nbre=zeros(1,numel(ind_coord_x));
    for icell=1:numel(ind_coord_x)
        Cell1DPlot{icell}.VarType='1DPlot';
        Cell1DPlot{icell}.XIndex=ind_coord_x(icell);
        Cell1DPlot{icell}.XName=Data.ListVarName{ind_coord_x(icell)};
        Cell1DPlot{icell}.YIndex=[];
        Cell1DPlot{icell}.YIndex_discrete=[];
        DimCell_x=Data.VarDimName{ind_coord_x(icell)};
        for ivar=[ind_coord_y ind_histo]% look for y coordinate corresponding to coord_x
            DimCell=Data.VarDimName{ivar};%dimensions of coord_y
            if  numel(DimCell_x)==1 && strcmp(DimCell_x{1},DimCell{1})
                y_nbre(icell)=y_nbre(icell)+1;
                Cell1DPlot{icell}.YIndex(y_nbre(icell))=ivar;
            end
        end
        for ivar=ind_discrete
            DimCell=Data.VarDimName{ivar};
            if  numel(DimCell)==1 && strcmp(DimCell_x{1},DimCell{1})
                y_nbre(icell)=y_nbre(icell)+1;
                Cell1DPlot{icell}.YIndex_discrete(y_nbre(icell))=ivar;
            end
        end
    end
    Cell1DPlot(y_nbre==0)=[];
    CellInfo=[CellInfo Cell1DPlot];
    NbDim=[NbDim ones(1,numel(Cell1DPlot))];
end

%% document roles of non-coordinate variables
for icell=1:numel(CellInfo)
    if isfield(CellInfo{icell},'VarIndex')
        check_fieldname=0;
        VarIndex=CellInfo{icell}.VarIndex;
        for ivar=VarIndex
            %         if isfield(CellInfo{icell},['VarIndex_' Role{ivar}])
            %             CellInfo{icell}.(['VarIndex_' Role{ivar}])=[CellInfo{icell}.(['VarIndex_' Role{ivar}]) ivar];
            %         else
            %             CellInfo{icell}.(['VarIndex_' Role{ivar}])= ivar;
            %         end
            if ~isempty(ProjModeRequest{ivar})
                CellInfo{icell}.ProjModeRequest=ProjModeRequest{ivar};
            end
            if ~isempty(FieldName{ivar})
                CellInfo{icell}.FieldName=FieldName{ivar};
                check_fieldname=1;
            end
            if CheckSub(ivar)==1
                CellInfo{icell}.CheckSub=1;
            end
        end
        if ~check_fieldname% default FieldName
            if isfield(CellInfo{icell},'VarIndex_vector_x')&& isfield(CellInfo{icell},'VarIndex_vector_y')
                UName=Data.ListVarName{CellInfo{icell}.VarIndex_vector_x};
                VName=Data.ListVarName{CellInfo{icell}.VarIndex_vector_y};        
                CellInfo{icell}.FieldName=['vec(' UName ',' VName ')'];
            end
        end
    end
end