1 | function sys=double(X) |
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2 | %DOUBLE Returns current numerical value |
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3 | %bajs i bajs |
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4 | % Author Johan Löfberg |
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5 | % $Id: double.m,v 1.1 2006/08/10 18:00:19 joloef Exp $ |
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6 | |
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7 | solution = yalmip('getsolution'); |
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8 | lmi_variables = X.lmi_variables; |
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9 | opt_variables = solution.variables; |
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10 | |
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11 | % Definition of nonlinear variables |
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12 | [mt,variabletype] = yalmip('monomtable'); |
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13 | nonlinears = lmi_variables(find(variabletype(X.lmi_variables))); |
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14 | |
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15 | if ~isempty(solution.values) |
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16 | if max(lmi_variables) <= length(solution.values) & isempty(nonlinears) |
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17 | if ~any(isnan(solution.values(lmi_variables(:)))) |
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18 | % Yihoo, we can do this really fast by |
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19 | % re-using the old values |
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20 | sys = X.basis*[1;solution.values(lmi_variables(:))]; |
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21 | if X.typeflag==10 |
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22 | sys = eig(full(reshape(sys,X.dim(1),X.dim(2)))); |
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23 | else |
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24 | sys = full(reshape(sys,X.dim(1),X.dim(2))); |
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25 | end |
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26 | return |
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27 | end |
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28 | end |
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29 | end |
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30 | |
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31 | % Okey, we could not do it really fast... |
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32 | |
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33 | % Definition of nonlinear variables |
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34 | allextended = yalmip('extvariables'); |
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35 | allevaluators = yalmip('evalVariables'); |
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36 | allextended = union(allextended,allevaluators); |
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37 | |
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38 | if isempty(nonlinears) & isempty(allextended) & all(ismembc(lmi_variables,solution.variables)) |
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39 | |
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40 | % speed up code for simple linear case |
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41 | values = solution.values; |
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42 | if isempty(solution.values) |
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43 | values = sparse(solution.variables,ones(length(solution.variables),1),solution.optvar,size(mt,1),1); |
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44 | %values = zeros(size(mt,1),1); |
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45 | %values(solution.variables) = solution.optvar; |
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46 | yalmip('setvalues',values); |
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47 | else |
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48 | if any(isnan(solution.values(lmi_variables(:)))) |
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49 | values = sparse(solution.variables,ones(length(solution.variables),1),solution.optvar,size(mt,1),1); |
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50 | % values = zeros(size(mt,1),1); |
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51 | % values(solution.variables) = solution.optvar; |
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52 | yalmip('setvalues',values); |
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53 | end |
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54 | end |
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55 | |
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56 | sys = X.basis*[1;values(lmi_variables(:))]; |
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57 | if X.typeflag==10 |
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58 | sys = eig(full(reshape(sys,X.dim(1),X.dim(2)))); |
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59 | else |
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60 | sys = full(reshape(sys,X.dim(1),X.dim(2))); |
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61 | end |
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62 | |
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63 | return |
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64 | end |
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65 | |
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66 | % All double values |
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67 | values(size(mt,1),1)=nan;values(:)=nan; |
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68 | values(solution.variables) = solution.optvar; |
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69 | |
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70 | % Evaluate the extended operators |
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71 | if ~isempty(allextended) |
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72 | extended_variables = find(ismembc(X.lmi_variables,allextended)); |
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73 | if ~isempty(extended_variables) |
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74 | for i = 1:length(extended_variables) |
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75 | extvar = lmi_variables(extended_variables(i)); |
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76 | extstruct = yalmip('extstruct',extvar); |
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77 | |
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78 | for k = 1:length(extstruct.arg) |
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79 | if isa(extstruct.arg{k},'sdpvar') | isa(extstruct.arg{k},'constraint') |
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80 | extstruct.arg{k} = double(extstruct.arg{k}); |
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81 | end |
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82 | end |
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83 | |
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84 | switch extstruct.fcn |
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85 | |
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86 | case 'sort' |
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87 | [w,loc] = sort(extstruct.arg{1}); |
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88 | if extstruct.arg{2}.isthisloc |
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89 | val = loc(extstruct.arg{2}.i); |
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90 | else |
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91 | val = w(extstruct.arg{2}.i); |
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92 | end |
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93 | |
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94 | case 'semivar' |
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95 | % A bit messy, since it not really is a nonlinear |
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96 | % operator. semivar(1) does not return 1, but a new |
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97 | % semivar variable... |
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98 | val = values(getvariables(extstruct.var)); |
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99 | |
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100 | case 'geomean' % Not 100% MATLAB consistent (Hermitian case differ) |
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101 | val = extstruct.arg{1}; |
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102 | if ~any(any(isnan(val))) |
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103 | [n,m] = size(val); |
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104 | if n == m |
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105 | if issymmetric(val) |
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106 | val = max(0,real(det(val)))^(1/n); |
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107 | else |
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108 | val = geomean(val); |
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109 | end |
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110 | else |
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111 | val = geomean(val); |
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112 | end |
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113 | else |
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114 | val = nan; |
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115 | end |
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116 | |
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117 | case 'pwf' |
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118 | % Has to be placed here due to the case when |
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119 | % all functions are double, since in this case, |
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120 | % we cannot determine in pwf if we want the double or |
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121 | % create a pw constant function... |
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122 | n = length(extstruct.arg)/2; |
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123 | i = 1; |
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124 | val = nan; |
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125 | while i<=n |
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126 | if min(checkset(extstruct.arg{2*i}))>=0 |
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127 | val = extstruct.arg{2*i-1}; |
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128 | break |
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129 | end |
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130 | i = i + 1; |
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131 | end |
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132 | |
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133 | case 'mpower' |
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134 | val = extstruct.arg{1}; |
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135 | case {'max','min'} % Cannot take several inputs, put everything in a vector |
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136 | val = feval(extstruct.fcn,[extstruct.arg{:}]); |
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137 | case {'or','and'} |
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138 | try |
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139 | val = feval(extstruct.fcn,extstruct.arg{:}); |
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140 | catch |
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141 | val = nan; |
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142 | end |
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143 | |
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144 | otherwise |
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145 | try |
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146 | if ismembc(extvar,allevaluators) |
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147 | % Evaluator variables (used for exp, log, ...) |
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148 | % have an appended argument that we need to |
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149 | % remove. The appended variables is used |
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150 | % internally to convert from general format |
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151 | % f(a'x+c) to f(z), z==a'z+b |
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152 | val = feval(extstruct.fcn,extstruct.arg{1:end-1}); |
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153 | else |
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154 | val = feval(extstruct.fcn,extstruct.arg{:}); |
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155 | end |
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156 | catch |
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157 | val = nan; |
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158 | end |
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159 | end |
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160 | values(extvar) = full(val); |
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161 | end |
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162 | end |
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163 | end |
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164 | |
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165 | if ~isempty(nonlinears) |
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166 | mt_t = mt'; %Working columnwise is faster |
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167 | use_these = find(ismember(lmi_variables,nonlinears)); |
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168 | all_extended_variables = yalmip('extvariables'); |
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169 | all_evaluator_variables = yalmip('evalVariables'); |
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170 | all_extended_variables = union(all_extended_variables,all_evaluator_variables); |
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171 | |
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172 | for i = use_these |
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173 | monom_i = mt_t(:,lmi_variables(i)); |
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174 | used_in_monom = find(monom_i); |
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175 | |
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176 | if ~isempty(all_extended_variables) |
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177 | extended_variables = find(ismember(used_in_monom,all_extended_variables)); |
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178 | if ~isempty(extended_variables) |
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179 | for ii = 1:length(extended_variables) |
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180 | extvar = used_in_monom(extended_variables(ii)); |
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181 | extstruct = yalmip('extstruct',extvar); |
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182 | for k = 1:length(extstruct.arg) |
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183 | if isa(extstruct.arg{k},'sdpvar') |
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184 | extstruct.arg{k} = double(extstruct.arg{k}); |
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185 | end |
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186 | end |
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187 | |
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188 | switch extstruct.fcn |
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189 | |
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190 | case 'sort' |
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191 | w = sort(extstruct.arg{1}); |
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192 | val = w(extstruct.arg{2}); |
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193 | |
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194 | case 'semivar' |
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195 | val = values(getvariables(extstruct.var)); |
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196 | |
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197 | case 'mpower' % |
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198 | val = extstruct.arg{1}; |
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199 | case {'max','min'} % Cannot take several inputs, put everything in a vector |
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200 | val = feval(extstruct.fcn,[extstruct.arg{:}]); |
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201 | otherwise % VAL = OPERATOR(X1,X2,...) |
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202 | if ismembc(extvar,all_evaluator_variables) |
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203 | % Evaluator variables (used for exp, log, ...) |
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204 | % have an appended argument that we need to |
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205 | % remove. The appended variables is used |
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206 | % internally to convert from genreal format |
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207 | % f(a'x+c) to f(z), z==a'z+b |
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208 | val = feval(extstruct.fcn,extstruct.arg{1:end-1}); |
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209 | else |
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210 | val = feval(extstruct.fcn,extstruct.arg{:}); |
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211 | end |
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212 | end |
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213 | values(extvar) = val; |
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214 | end |
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215 | end |
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216 | end |
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217 | % This code is a bit shaky due to the 0^0 bug in linux 6.5 |
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218 | %the_product = prod(values(used_in_monom).^monom_i(used_in_monom)); |
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219 | the_product = 1; |
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220 | for j = 1:length(used_in_monom) |
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221 | the_product = the_product*values(used_in_monom(j))^monom_i(used_in_monom(j)); |
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222 | end |
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223 | values(lmi_variables(i)) = the_product; |
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224 | end |
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225 | end |
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226 | sys = X.basis*[1;values(lmi_variables(:))]; |
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227 | |
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228 | if X.typeflag==10 |
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229 | sys = eig(full(reshape(sys,X.dim(1),X.dim(2)))); |
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230 | else |
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231 | sys = full(reshape(sys,X.dim(1),X.dim(2))); |
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232 | end |
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