milpsubsref.m

matlab波形优化算法经常要用到的matlab toolbox工具箱:yalmip

function varargout = milpsubsref(varargin)
%MILPSUBSREF

% Author Johan L鰂berg
% $Id: milpsubsref.m,v 1.5 2007/08/02 19:33:16 joloef Exp $

switch class(varargin{1})
    case 'double'
        varargin{1} = double(varargin{1});
        varargin{2}.subs{1} = double(varargin{2}.subs{1});
        varargout{1} = subsref(varargin{:});

    case 'sdpvar'
        switch length(varargin{2}.subs)
            case 1
                index = varargin{2}.subs{1};
                if length(index) > 1
                    y = [];
                    for i = 1:length(index)
                        varargin{2}.subs{1} = index(i);
                        y = [y;yalmip('define',mfilename,varargin{:})];
                    end
                    % Figure out dims of variable
                    X = randn(size(varargin{1}));
                    varargin{2}.subs{1} = ones(size(index));
                    X = subsref(X,varargin{2});
                    y = reshape(y,size(X,1),size(X,2));
                    varargout{1} = y;
                else
                    varargout{1} = yalmip('define',mfilename,varargin{:});
                end
            case 2
                index1 = varargin{2}.subs{1};
                index2 = varargin{2}.subs{2};
                y = [];
                for i = 1:length(index1)
                    temp = [];
                    for j = 1:length(index2)
                        varargin{2}.subs{1} = index1(i);
                        varargin{2}.subs{2} = index2(j);
                        temp = [temp yalmip('define',mfilename,varargin{:})];
                    end
                    y = [y;temp];
                end
                % Figure out dims of variable
                X = randn(size(varargin{1}));
                varargin{2}.subs{1} = ones(size(index1));
                varargin{2}.subs{2} = ones(size(index2));
                X = subsref(X,varargin{2});
                y = reshape(y,size(X,1),size(X,2));
                varargout{1} = y;


            otherwise
                error('Only 1D and 2D variable subsref implemented');
        end

    case 'char'

        X = varargin{3};
        Y = varargin{2};
        if length(varargin{4}.subs) == 1
            i = varargin{4}.subs{1};
            M = length(X);
            m = 1;
            F = set(integer(i)); % just to be sure
            d = binvar(length(X),1);
            [Mx,mx]=derivebounds(X);
            for j = m:M
                di = d(j);
                %                        F = F + set(mx*(1-di) <= Y-X(j) <= Mx*(1-di));
                F = F + set(-(max(Mx)-min(mx))*(1-di) <= Y-X(j) <= (max(Mx)-min(mx))*(1-di));
                F = F + set(-(1+M-m)*(1-di) <= i-j <= (1+M-m)*(1-di));
            end
            F = F + set(sum(d)==1);
        else
            i1 = varargin{4}.subs{1};
            i2 = varargin{4}.subs{2};
            M1 = size(X,1);
            M2 = size(X,2);
            m1 = 1;
            m2 = 1;
            if isa(i1,'sdpvar')
                F = set(integer(i1)); % just to be sure
            end
            if isa(i2,'sdpvar')
                F = set(integer(i2)); % just to be sure
            end
            d = binvar(size(X,1),size(X,2),'full');
            [Mx,mx]=derivebounds(X);
            for i = m1:M1
                for j = m2:M2
                    di = d(i,j);
                    F = F + set(-(max(Mx)-min(mx))*(1-di) <= Y-X(i,j) <= (max(Mx)-min(mx))*(1-di));
                    if isa(i1,'sdpvar')
                        F = F + set(-(1+M1-m1)*(1-di) <= i1-i <= (1+M1-m1)*(1-di));
                    end
                    if isa(i2,'sdpvar')
                        F = F + set(-(1+M2-m2)*(1-di) <= i2-j <= (1+M2-m2)*(1-di));
                    end
                end
            end
            F = F + set(sum(sum(d))==1);

        end
        varargout{1} = F;
        varargout{2} = struct('convexity','none','monotonicity','none','definiteness','none','model','integer');
        varargout{3} = [X(:);i(:)];

    otherwise
        error('Strange type on first argument in SDPVAR/ABS');
end