1 | %'sub_field': combines two input fields
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2 | %
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3 | % the two fields are subtstracted when of the same nature (scalar or
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4 | % vector), if the coordinates do not coincide, the second field is
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5 | % interpolated on the cooridintes of the first one
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6 | %
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7 | % when scalar and vectors are combined, the fields are just merged in a single matlab structure for common visualisation
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8 | %-----------------------------------------------------------------------
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9 | % function SubData=sub_field(Field,Field_1)
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10 | %
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11 | % OUPUT:
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12 | % SubData: structure representing the resulting field
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13 | %
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14 | % INPUT:
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15 | % Field: matlab structure representing the first field
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16 | % Field_1:matlab structure representing the second field
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17 |
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18 | function [SubData,errormsg]=sub_field(Field,Field_1)
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19 | test_attr=0;
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20 | if isfield(Field,'ListGlobalAttribute')
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21 | SubData.ListGlobalAttribute=Field.ListGlobalAttribute;
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22 | for ilist=1:numel(Field.ListGlobalAttribute)
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23 | AttrName=Field.ListGlobalAttribute{ilist};
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24 | eval(['SubData.' AttrName '=Field.' AttrName ';'])
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25 | end
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26 | test_attr=1;
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27 | end
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28 | if isfield(Field_1,'ListGlobalAttribute')
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29 | for ilist=1:numel(Field_1.ListGlobalAttribute)
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30 | test_1=1;
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31 | AttrName=Field_1.ListGlobalAttribute{ilist};
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32 | if test_attr
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33 | for i_prev=1:numel(Field.ListGlobalAttribute)
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34 | if isequal(Field.ListGlobalAttribute{i_prev},AttrName)
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35 | test_1=0; %attribute already written
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36 | eval(['Val=Field.' AttrName ';'])
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37 | eval(['Val_1=Field_1.' AttrName ';'])
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38 | if isequal(Val,Val_1)
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39 | break% data already written
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40 | else
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41 | eval(['SubData.' AttrName '_1=Field_1.' AttrName ';'])
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42 | end
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43 | end
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44 | end
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45 | end
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46 | if test_1
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47 | eval(['SubData.' AttrName '=Field_1.' AttrName ';'])
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48 | end
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49 | end
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50 | end
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51 | SubData.ListVarName=Field.ListVarName;
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52 | SubData.VarDimName=Field.VarDimName;
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53 | if isfield(Field,'VarAttribute')
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54 | SubData.VarAttribute=Field.VarAttribute;
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55 | end
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56 | %reproduce Field by default
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57 | for ivar=1:numel(Field.ListVarName)
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58 | VarName=Field.ListVarName{ivar};
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59 | eval(['SubData.' VarName '=Field.' VarName ';'])
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60 | end
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61 |
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62 | %fields
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63 | [CellVarIndex,NbDim,VarTypeCell,errormsg]=find_field_indices(Field);
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64 | if ~isempty(errormsg)
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65 | errormsg=['invalid first input to sub_field:' errormsg];
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66 | return
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67 | end
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68 | [CellVarIndex_1,NbDim_1,VarTypeCell_1,errormsg]=find_field_indices(Field_1);
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69 | if ~isempty(errormsg)
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70 | errormsg=['invalid second input to sub_field:' errormsg];
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71 | return
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72 | end
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73 | iselect=find(NbDim==2);
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74 | if ~isequal(numel(iselect),1)
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75 | errormsg='invalid first input to sub_field: it must contain a single 2D field cell';
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76 | return
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77 | end
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78 | iselect_1=find(NbDim_1==2);
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79 | if ~isequal(numel(iselect_1),1)
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80 | errormsg='invalid second input to sub_field: it must contain a single 2D field cell';
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81 | return
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82 | end
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83 | VarType=VarTypeCell{iselect};
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84 | VarType_1=VarTypeCell_1{iselect_1};
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85 | testX=~isempty(VarType.coord_x)&& ~isempty(VarType.coord_y);%unstructured coordiantes
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86 | testX_1=~isempty(VarType_1.coord_x)&& ~isempty(VarType_1.coord_y);%unstructured coordiantes
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87 | testU=~isempty(VarType.vector_x)&& ~isempty(VarType.vector_y);%vector field
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88 | testU_1=~isempty(VarType_1.vector_x)&& ~isempty(VarType_1.vector_y);%vector field
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89 | testfalse_1=~isempty(VarType_1.errorflag);
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90 | ivar_C=[VarType.scalar VarType.image VarType.color VarType.ancillary]; %defines index (indices) for the scalar or ancillary fields
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91 | if numel(ivar_C)>1
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92 | errormsg='too many scalar fields in the first input of sub_field.m';
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93 | return
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94 | end
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95 | ivar_C_1=[VarType_1.scalar VarType_1.image VarType_1.color VarType_1.ancillary]; %defines index (indices) for the scalar or ancillary fields
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96 | if numel(ivar_C_1)>1
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97 | errormsg='too many scalar fields in the second input of sub_field.m';
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98 | return
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99 | end
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100 |
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101 | %substract two vector fields or two scalars
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102 | if (testU && testU_1) || (~testU && ~testU_1)
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103 | %check coincidence in positions
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104 | %unstructured coordinates for the first field
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105 | if testX
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106 | XName=Field.ListVarName{VarType.coord_x};
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107 | YName=Field.ListVarName{VarType.coord_y};
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108 | eval(['vec_X=Field.' XName ';'])
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109 | eval(['vec_Y=Field.' YName ';'])
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110 | nbpoints=numel(vec_X);
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111 | vec_X=reshape(vec_X,nbpoints,1);
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112 | vec_Y=reshape(vec_Y,nbpoints,1);
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113 | if testX_1 %unstructured coordinates for the second field
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114 | X_1_Name=Field_1.ListVarName{VarType_1.coord_x};
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115 | Y_1_Name=Field_1.ListVarName{VarType_1.coord_y};
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116 | eval(['vec_X_1=Field_1.' X_1_Name ';'])
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117 | eval(['vec_Y_1=Field_1.' Y_1_Name ';'])
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118 |
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119 | else %structured coordinates for the second field
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120 | y_1_Name=Field_1.ListVarName{VarType_1.coord(1)};
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121 | x_1_Name=Field_1.ListVarName{VarType_1.coord(2)};
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122 | eval(['y_1=Field_1.' y_1_Name ';'])
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123 | eval(['x_1=Field_1.' x_1_Name ';'])
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124 | if isequal(numel(x_1),2)
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125 | x_1=linspace(x_1(1),x_1(2),nbpoints_x_1);
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126 | end
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127 | if isequal(numel(y_1),2)
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128 | y_1=linspace(y_1(1),y_1(2),nbpoints_y_1);
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129 | end
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130 | [vec_X_1,vec_Y_1]=meshgrid(x_1,y_1);
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131 | end
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132 | vec_X_1=reshape(vec_X_1,[],1);
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133 | vec_Y_1=reshape(vec_Y_1,[],1);
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134 | if testfalse_1
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135 | FFName_1=Field_1.ListVarName{VarType_1.errorflag};
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136 | eval(['vec_FF_1=Field_1.' FFName_1 ';'])
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137 | vec_FF_1=reshape(vec_FF_1,[],1);
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138 | indsel=find(~vec_FF_1);
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139 | vec_X_1=vec_X_1(indsel);
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140 | vec_Y_1=vec_Y_1(indsel);
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141 | end
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142 | if testU % vector fields
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143 | U_1_Name=Field_1.ListVarName{VarType_1.vector_x};
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144 | V_1_Name=Field_1.ListVarName{VarType_1.vector_y};
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145 | eval(['vec_U_1=Field_1.' U_1_Name ';'])
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146 | eval(['vec_V_1=Field_1.' V_1_Name ';'])
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147 | nbpoints_x_1=size(vec_U_1,2);
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148 | nbpoints_y_1=size(vec_U_1,1);
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149 | vec_U_1=reshape(vec_U_1,nbpoints_x_1*nbpoints_y_1,1);
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150 | vec_V_1=reshape(vec_V_1,nbpoints_x_1*nbpoints_y_1,1);
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151 | if testfalse_1
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152 | vec_U_1=vec_U_1(indsel);
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153 | vec_V_1=vec_V_1(indsel);
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154 | end
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155 | else %(~testU && ~testU_1)
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156 | A_1_Name=Field_1.ListVarName{ivar_C_1};
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157 | eval(['vec_A_1=Field_1.' A_1_Name ';'])
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158 | nbpoints_x_1=size(vec_A_1,2);
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159 | nbpoints_y_1=size(vec_A_1,1);%TODO: use a faster interpolation method for a regular grid (size(x)=2)
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160 | vec_A_1=reshape(vec_A_1,nbpoints_x_1*nbpoints_y_1,1);
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161 | if testfalse_1
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162 | vec_A_1=vec_A_1(indsel);
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163 | end
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164 | end
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165 |
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166 | if ~isequal(vec_X_1,vec_X) && ~isequal(vec_Y_1,vec_Y) % if the unstructured positions are not the same
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167 | if testU
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168 | vec_U_1=griddata_uvmat(vec_X_1,vec_Y_1,vec_U_1,vec_X,vec_Y); %interpolate vectors in the second field
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169 | vec_V_1=griddata_uvmat(vec_X_1,vec_Y_1,vec_V_1,vec_X,vec_Y); %interpolate vectors in the second field
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170 | else
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171 | vec_A_1=griddata_uvmat(vec_X_1,vec_Y_1,double(vec_A_1),vec_X,vec_Y); %interpolate vectors in the second field
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172 | end
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173 | end
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174 | if testU
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175 | UName=Field.ListVarName{VarType.vector_x};
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176 | VName=Field.ListVarName{VarType.vector_y};
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177 | eval(['vec_U=Field.' UName ';'])
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178 | eval(['vec_V=Field.' VName ';'])
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179 | vec_U=reshape(vec_U,numel(vec_U),1);
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180 | vec_V=reshape(vec_V,numel(vec_V),1);
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181 | eval(['SubData.' UName '=vec_U-vec_U_1;'])
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182 | eval(['SubData.' VName '=vec_V-vec_V_1;'])
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183 | else
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184 | AName=Field.ListVarName{ivar_C};
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185 | % size(Field.vort)
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186 | eval(['SubData.' AName '=Field.' AName '-vec_A_1;'])
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187 | end
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188 | else %structured coordiantes
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189 | XName=Field.ListVarName{VarType.coord(2)};
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190 | YName=Field.ListVarName{VarType.coord(1)};
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191 | eval(['x=Field.' XName ';'])
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192 | eval(['y=Field.' YName ';'])
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193 | if testX_1 %unstructured coordinates for the second field
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194 | errormsg='the second input scalar is not on a regular grid: comparison option not implemented';
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195 | return
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196 | else
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197 | XName_1=Field.ListVarName{VarType_1.coord(2)};
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198 | YName_1=Field.ListVarName{VarType_1.coord(1)};
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199 | eval(['x_1=Field_1.' XName_1 ';'])
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200 | eval(['y_1=Field_1.' YName_1 ';'])
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201 | end
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202 | if testU % vector fields
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203 | UName=Field.ListVarName{VarType.vector_x};
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204 | VName=Field.ListVarName{VarType.vector_y};
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205 | U_1_Name=Field_1.ListVarName{VarType_1.vector_x};
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206 | V_1_Name=Field_1.ListVarName{VarType_1.vector_y};
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207 | eval(['U_1=Field_1.' U_1_Name ';'])
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208 | eval(['V_1=Field_1.' V_1_Name ';'])
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209 | if ~isequal(x_1,x)||~isequal(y_1,y)
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210 | [X_1,Y_1]=meshgrid(x_1,y_1);
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211 | U_1 =interp2(X_1,Y_1,U_1,x,y');
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212 | V_1 =interp2(X_1,Y_1,V_1,x,y');
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213 | end
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214 | eval(['SubData.' UName '=Field.' UName '-U_1;'])
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215 | eval(['SubData.' VName '=Field.' VName '-V_1;'])
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216 | else
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217 | AName=Field.ListVarName{ivar_C};
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218 | A_1_Name=Field_1.ListVarName{ivar_C_1};
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219 | eval(['A_1=double(Field_1.' A_1_Name ');'])
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220 | if ~isequal(x_1,x)||~isequal(y_1,y)
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221 | [X_1,Y_1]=meshgrid(x_1,y_1);
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222 | A_1 =interp2(X_1,Y_1,A_1,x,y');
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223 | end
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224 | eval(['SubData.' AName '=double(Field.' AName ')-A_1;'])
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225 | end
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226 | end
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227 | end
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228 |
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229 | % merge a vector field and a scalar as second input
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230 | if testU && ~testU_1
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231 | AName_1=Field_1.ListVarName{ivar_C_1};
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232 | if isfield(Field_1,'VarAttribute') & numel(Field_1.VarAttribute)>=ivar_C_1
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233 | AAttr=Field_1.VarAttribute{ivar_C_1} ;
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234 | else
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235 | AAttr=[];
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236 | end
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237 | if testX_1 %unstructured coordinate
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238 | XName_1=Field_1.ListVarName{VarType_1.coord_x};
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239 | YName_1=Field_1.ListVarName{VarType_1.coord_y};
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240 | DimCell=Field_1.VarDimName([VarType_1.coord_x VarType_1.coord_y ]);
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241 | if isfield(Field_1,'VarAttribute')
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242 | if numel(Field_1.VarAttribute)>=VarType_1.coord_x
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243 | XAttr=Field_1.VarAttribute{VarType_1.coord_x};
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244 | else
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245 | XAttr=[];
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246 | end
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247 | if numel(Field_1.VarAttribute)>=VarType_1.coord_y
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248 | YAttr=Field_1.VarAttribute{VarType_1.coord_y};
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249 | else
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250 | YAttr=[];
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251 | end
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252 | SubData.VarAttribute=[SubData.VarAttribute {XAttr} {YAttr}];
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253 | end
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254 | else
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255 | XName_1=Field_1.ListVarName{VarType_1.coord(2)};
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256 | YName_1=Field_1.ListVarName{VarType_1.coord(1)};
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257 | % DimCell=[{YName_1} {XName_1}];
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258 | if isfield(Field_1,'VarAttribute')
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259 | if numel(Field_1.VarAttribute)>=VarType_1.coord(2)
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260 | XAttr=Field_1.VarAttribute{VarType_1.coord(2)} ;
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261 | else
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262 | XAttr=[];
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263 | end
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264 | if numel(Field_1.VarAttribute)>=VarType_1.coord(1)
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265 | YAttr=Field_1.VarAttribute{VarType_1.coord(1)} ;
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266 | else
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267 | YAttr=[];
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268 | end
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269 | SubData.VarAttribute=[SubData.VarAttribute {YAttr} {XAttr}];
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270 | end
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271 | end
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272 | %look for previously used variable names
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273 | XName_1_1=XName_1;%default
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274 | YName_1_1=YName_1;%default
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275 | AName_1_1=AName_1;%default
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276 | for iprev=1:numel(SubData.ListVarName)
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277 | switch SubData.ListVarName{iprev}
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278 | case XName_1
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279 | XName_1_1=[XName_1 '_1'];
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280 | case YName_1
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281 | YName_1_1=[YName_1 '_1'];
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282 | case AName_1
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283 | AName_1_1=[AName_1 '_1'];
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284 | end
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285 | end
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286 | if ~testX_1
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287 | DimCell=[{XName_1_1} {YName_1_1}];
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288 | end
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289 | SubData.ListVarName=[SubData.ListVarName {XName_1_1} {YName_1_1} {AName_1_1}];
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290 | DimCell=[DimCell Field_1.VarDimName(ivar_C_1)]; %(TODO: check for dimension names)
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291 | if testX_1
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292 | for icell=1:numel(DimCell)
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293 | if isequal(DimCell{icell}{1},SubData.VarDimName{1}{1})
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294 | DimCell{icell}{1}=[DimCell{icell}{1} '_1'];
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295 | end
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296 | end
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297 | end
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298 | SubData.VarDimName=[SubData.VarDimName DimCell];
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299 | if isfield(Field_1,'VarAttribute')
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300 | SubData.VarAttribute=[SubData.VarAttribute {AAttr}];
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301 | end
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302 | eval(['SubData.' XName_1_1 '=Field_1.' XName_1 ';'])
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303 | eval(['SubData.' YName_1_1 '=Field_1.' YName_1 ';'])
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304 | eval(['SubData.' AName_1_1 '=Field_1.' AName_1 ';'])
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305 | end
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306 |
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307 | %merge a scalar as the first input and a vector field as second input
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308 | if ~testU && testU_1
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309 | UName_1=Field_1.ListVarName{VarType_1.vector_x};
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310 | VName_1=Field_1.ListVarName{VarType_1.vector_y};
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311 | UAttr=Field_1.VarAttribute{VarType_1.vector_x};
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312 | VAttr=Field_1.VarAttribute{VarType_1.vector_y};
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313 | if testX_1 %unstructured coordinate for the second field
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314 | XName_1=Field_1.ListVarName{VarType_1.coord_x};
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315 | YName_1=Field_1.ListVarName{VarType_1.coord_y};
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316 |
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317 | XAttr=Field_1.VarAttribute{VarType_1.coord_x};
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318 | YAttr=Field_1.VarAttribute{VarType_1.coord_y};
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319 | % SubData.ListVarName=[SubData.ListVarName {XName_1} {YName_1}];
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320 | DimCell=Field_1.VarDimName([VarType_1.coord_x VarType_1.coord_y ]);
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321 | else
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322 | XName_1=Field_1.ListVarName{VarType_1.coord(2)};
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323 | YName_1=Field_1.ListVarName{VarType_1.coord(1)};
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324 | if numel(Field_1.VarAttribute)>=VarType_1.coord(2)
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325 | XAttr=Field_1.VarAttribute{VarType_1.coord(2)};
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326 | else
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327 | XAttr=[];
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328 | end
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329 | if numel(Field_1.VarAttribute)>=VarType_1.coord(1)
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330 | YAttr=Field_1.VarAttribute{VarType_1.coord(1)};
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331 | else
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332 | YAttr=[];
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333 | end
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334 | end
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335 | %check for the existence of the same variable name
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336 | XName_1_1=XName_1; %default
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337 | YName_1_1=YName_1; %default
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338 | UName_1_1=UName_1; %default
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339 | VName_1_1=VName_1; %default
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340 | for iprev=1:numel(SubData.ListVarName)
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341 | switch SubData.ListVarName{iprev}
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342 | case XName_1
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343 | XName_1_1=[XName_1 '_1'];
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344 | case YName_1
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345 | YName_1_1=[YName_1 '_1'];
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346 | case UName_1
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347 | UName_1_1=[UName_1 '_1'];
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348 | case VName_1
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349 | VName_1_1=[VName_1 '_1'];
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350 | end
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351 | end
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352 | if ~testX_1
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353 | DimCell=[{XName_1_1} {YName_1_1}];
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354 | end
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355 | SubData.ListVarName=[SubData.ListVarName {XName_1_1} {YName_1_1} {UName_1_1} {VName_1_1}];
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356 | DimCell=[DimCell Field_1.VarDimName([VarType_1.vector_x VarType_1.vector_y ])];
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357 | SubData.VarDimName=[SubData.VarDimName DimCell];
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358 | if isfield(SubData,'VarAttribute')
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359 | if ~(numel(SubData.VarAttribute)==numel(SubData.ListVarName))
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360 | for ivar=numel(SubData.VarAttribute)+1:numel(SubData.ListVarName)-4
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361 | SubData.VarAttribute{ivar}=[];
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362 | end
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363 | end
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364 | SubData.VarAttribute=[SubData.VarAttribute {XAttr} {YAttr} {UAttr} {VAttr}];
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365 | end
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366 | eval(['SubData.' XName_1_1 '=Field_1.' XName_1 ';'])
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367 | eval(['SubData.' YName_1_1 '=Field_1.' YName_1 ';'])
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368 | eval(['SubData.' UName_1_1 '=Field_1.' UName_1 ';'])
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369 | eval(['SubData.' VName_1_1 '=Field_1.' VName_1 ';'])
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370 | end
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371 |
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