%'sub_field': combines two input fields
%
% the two fields are subtstracted when of the same nature (scalar or
% vector), if the coordinates do not coincide, the second field is
% interpolated on the cooridintes of the first one
%
% when scalar and vectors are combined, the fields are just merged in a single matlab structure for common visualisation
%-----------------------------------------------------------------------
% function SubData=sub_field(Field,XmlData,Field_1)
%
% OUTPUT: 
% SubData: structure representing the resulting field
%
% INPUT: 
% Field: matlab structure representing the first field
% Field_1:matlab structure representing the second field

%=======================================================================
% Copyright 2008-2014, LEGI UMR 5519 / CNRS UJF 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.
%=======================================================================

function SubData=sub_field(Field,XmlData,Field_1)

SubData=[];
if strcmp(Field,'*')
    return
end
if nargin<3
    SubData=Field;
    return
end

%% global attributes
SubData.ListGlobalAttribute={};%default
%transfer global attributes of Field
if isfield(Field,'ListGlobalAttribute')
    SubData.ListGlobalAttribute=Field.ListGlobalAttribute;
    for ilist=1:numel(Field.ListGlobalAttribute)
        AttrName=Field.ListGlobalAttribute{ilist};
        SubData.(AttrName)=Field.(AttrName);
    end
end
%transfer global attributes of Field_1
if isfield(Field_1,'ListGlobalAttribute')
    for ilist=1:numel(Field_1.ListGlobalAttribute)
        AttrName=Field_1.ListGlobalAttribute{ilist};
        AttrNameNew=AttrName;
        while ~isempty(find(strcmp(AttrNameNew,SubData.ListGlobalAttribute)))&&~isequal(Field_1.(AttrNameNew),Field.(AttrNameNew))
            AttrNameNew=[AttrNameNew '_1'];
        end
        if ~isfield(Field,AttrName) || ~isequal(Field_1.(AttrName),Field.(AttrName))
            SubData.ListGlobalAttribute=[SubData.ListGlobalAttribute {AttrNameNew}];
            SubData.(AttrNameNew)=Field_1.(AttrName);
        end
    end
end

%% variables
%reproduce variables of the first field and list its dimensions
SubData.ListVarName=Field.ListVarName;
SubData.VarDimName=Field.VarDimName;
if isfield(Field,'VarAttribute')
    SubData.VarAttribute=Field.VarAttribute;
end
ListDimName={};
for ilist=1:numel(Field.ListVarName)
    VarName=Field.ListVarName{ilist};
    SubData.(VarName)=Field.(VarName);
    SubData.VarAttribute{ilist}.CheckSub=0;
    DimCell=Field.VarDimName{ilist};
    if ischar(DimCell)
        DimCell={DimCell};
    end
    for idim=1:numel(DimCell)
        if isempty(find(strcmp(DimCell{idim},ListDimName)))
            ListDimName=[ListDimName DimCell(idim)];
        end
    end
end

%% field request
ProjModeRequest=cell(size(Field.ListVarName));
for ilist=1:numel(Field.VarAttribute)
    if isfield(Field.VarAttribute{ilist},'ProjModeRequest')
        ProjModeRequest{ilist}=Field.VarAttribute{ilist}.ProjModeRequest;
    end
end
ProjModeRequest_1=cell(size(Field_1.ListVarName));
for ilist=1:numel(Field_1.VarAttribute)
    if isfield(Field_1.VarAttribute{ilist},'ProjModeRequest')
        ProjModeRequest_1{ilist}=Field_1.VarAttribute{ilist}.ProjModeRequest;
    end
end

%% rename the dimensions of the second field if identical to those of the first
for ilist=1:numel(Field_1.VarDimName)
    DimCell=Field_1.VarDimName{ilist};
    if ischar(DimCell)
        DimCell={DimCell};
    end
    for idim=1:numel(DimCell)
        ind_dim=find(strcmp(DimCell{idim},ListDimName));
        if ~isempty(ind_dim)
            if ischar(Field_1.VarDimName{ilist})
                Field_1.VarDimName{ilist}=Field_1.VarDimName(ilist);
            end
            Field_1.VarDimName{ilist}{idim}=[ListDimName{ind_dim} '_1'];
        end
    end
end

%% look for coordinates common to Field in Field_1
ind_remove=zeros(size(Field_1.ListVarName));
% loop on the variables of the second field Field_1
for ilist=1:numel(Field_1.ListVarName)
    % case of variable with a single dimension
    if ~isempty(regexp(Field_1.VarAttribute{ilist}.Role,'^coord'))
        OldDimName=Field_1.VarDimName{ilist};
        if ischar(OldDimName), OldDimName={OldDimName}; end% transform char string to cell if relevant
        if numel(OldDimName)==1
            OldDim=Field_1.(Field_1.ListVarName{ilist});% get variable
            %look for the existence of the variable OldDim in the first field Field
            for i1=1:numel(Field.ListVarName)
                if  isequal(Field.(Field.ListVarName{i1}),OldDim) &&...
                        ((isempty(ProjModeRequest{i1}) && isempty(ProjModeRequest_1{ilist}))  || strcmp(ProjModeRequest{i1},ProjModeRequest_1{ilist}))
                    ind_remove(ilist)=1;
                    NewDimName=Field.VarDimName{i1};
                    if ischar(NewDimName), NewDimName={NewDimName}; end %transform char chain to cell if needed
                    Field_1.VarDimName=regexprep_r(Field_1.VarDimName,['^' OldDimName{1} '$'],NewDimName{1});% change the var name of Field_1 to the corresponding var name of Field
                end
            end
        end
    end
end
Field_1.ListVarName(find(ind_remove))=[];%removes the redondent coordinate
Field_1.VarDimName(find(ind_remove))=[];
Field_1.VarAttribute(find(ind_remove))=[];

%% append the other variables of the second field, modifying their name if needed
ListVarNameNew=Field_1.ListVarName;
check_rename=zeros(size(ListVarNameNew));
check_remove=zeros(size(ListVarNameNew));
for ilist=1:numel(ListVarNameNew)
    VarName=Field_1.ListVarName{ilist};
    ind_prev=find(strcmp(ListVarNameNew{ilist},Field.ListVarName),1);% look for duplicated variable name
    if ~isempty(ind_prev)% variable name exists in Field
%         check_rename(ilist)=0;
        check_remove(ilist)=1;
        if isfield(Field_1.VarAttribute{ilist},'Role')&& ismember(Field_1.VarAttribute{ilist}.Role,{'scalar','vector_x','vector_y'})
                            ListVarNameNew{ilist}=[ListVarNameNew{ilist} '_1'];
                            check_rename(ilist)=1;
        end
    end
    SubData.ListVarName=[SubData.ListVarName ListVarNameNew{ilist}];
    SubData.VarDimName=[SubData.VarDimName Field_1.VarDimName(ilist)];
    Field_1.VarAttribute{ilist}.CheckSub=1;
    SubData.VarAttribute=[SubData.VarAttribute Field_1.VarAttribute{ilist}];
    SubData.(ListVarNameNew{ilist})=Field_1.(VarName);% teke the values of the old variable for the newly named one
    %SubData.VarAttribute=[SubData.VarAttribute Field_1.VarDimName(ilist)];
end

%% replace variable name in field expression FieldName, e.g. 'norm(U,V)'-> 'norm(U_1,V_1)'
for ilist=1:numel(ListVarNameNew)
    if check_rename(ilist)&&  isfield(Field_1.VarAttribute{ilist},'FieldName')
        for ivar=1:numel(find(check_rename))
            Field_1.VarAttribute{ilist}.FieldName=regexprep_r(Field_1.VarAttribute{ilist}.FieldName,...
                Field_1.ListVarName{ivar},ListVarNameNew{ivar});
        end
    end
    SubData.VarAttribute=[SubData.VarAttribute Field_1.VarAttribute(ilist)];
    SubData.VarAttribute{end}.CheckSub=1;% mark that the field needs to be substracted as an attribute
end

%% substrat fields when possible
[CellInfo,NbDim,errormsg]=find_field_cells(SubData);
ind_remove=zeros(size(SubData.ListVarName));
ivar=[];
ivar_1=[];
for icell=1:numel(CellInfo)
    if ~isempty(CellInfo{icell})
        if isfield(CellInfo{icell},'VarIndex_scalar') && numel(CellInfo{icell}.VarIndex_scalar)==2 && SubData.VarAttribute{CellInfo{icell}.VarIndex_scalar(2)}.CheckSub;
            ivar=[ivar CellInfo{icell}.VarIndex_scalar(1)];
            ivar_1=[ivar_1 CellInfo{icell}.VarIndex_scalar(2)];
        end
        if isfield(CellInfo{icell},'VarIndex_vector_x') && numel(CellInfo{icell}.VarIndex_vector_x)==2 && SubData.VarAttribute{CellInfo{icell}.VarIndex_vector_x(2)}.CheckSub;
            ivar=[ivar CellInfo{icell}.VarIndex_vector_x(1)];
            ivar_1=[ivar_1 CellInfo{icell}.VarIndex_vector_x(2)];
        end
        if isfield(CellInfo{icell},'VarIndex_vector_y') && numel(CellInfo{icell}.VarIndex_vector_y)==2 && SubData.VarAttribute{CellInfo{icell}.VarIndex_vector_y(2)}.CheckSub;
            ivar=[ivar CellInfo{icell}.VarIndex_vector_y(1)];
            ivar_1=[ivar_1 CellInfo{icell}.VarIndex_vector_y(2)];
        end
    end
end
for imod=1:numel(ivar)
        VarName=SubData.ListVarName{ivar(imod)};
        VarName_1=SubData.ListVarName{ivar_1(imod)};
        SubData.(VarName)=double(SubData.(VarName))-double(SubData.(VarName_1));
        ind_remove(ivar_1(imod))=1;
end
SubData.ListVarName(find(ind_remove))=[];
SubData.VarDimName(find(ind_remove))=[];
SubData.VarAttribute(find(ind_remove))=[];

function OutputCell=regexprep_r(InputCell,search_string,new_string)
if ischar(InputCell); InputCell={InputCell}; end
OutputCell=InputCell;%default
for icell=1:numel(InputCell)
    OutputCell{icell}=regexprep(InputCell{icell},search_string,new_string);
end
        
    
