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[C++] 【MTSP】基于matlab蚁群求多解旅行商问题【含Matlab源码 005期】

编程语言 编程语言 发布于:2021-07-05 19:28 | 阅读数:473 | 评论:0

  
一、简介
  1.1 蚁群算法是对自然界蚂蚁的寻径方式进行模似而得出的一种仿生算法:蚂蚁在运动过程中,能够在它所经过的路径上留下信息素(pheromone)的物质进行信息传递,而且蚂蚁在运动过程中能够感知这种物质,并以此指导自己的运动方向。由大量蚂蚁组成的蚁群集体行为便表现出一种信息正反馈现象:某一路径上走过的蚂蚁越多,则后来者选择该路径的概率就越大。蚁群算法具有分布计算、信息正反馈和启发式搜索的特征,本质上是进化算法中的一种启发式全局优化算法。
1.2 TSP问题(旅行商问题)
T S P 问 题 可 以 用 一 个 带 权 完 全 图G=(N,A)来表示,其中N是带有n=|N|点(城市)的集合,A是完全连接这些点的边的集合。每一条边(i,j)属于A都带有一个权值,它代表城市i与城市j之间的距离。TSP问题就是要找到图中的最短哈密尔顿回路。
DSC0000.png
1、构建图:构建图与问题描述图是一致的,成份的集合C对应着点的集合(即:C=N),连接对应着边的集合(即L=A),且每一条边都带有一个权值,代表点i和j之间的距离。
2、约束条件:所有城市都要被访问且每个城市最多只能被访问一次。
3、信息素和启发式信息:TSP 问题中的信息素表示在访问城市i后直接访问城市j的期望度。启发式信息值一般与城市i和城市j的距离成反比。
4、解的构建:每只蚂蚁最初都从随机选择出来的城市出发,每经过一次迭代蚂蚁就向解中添加一个还没有访问过的城市。当所有城市都被蚂蚁访问过之后,解的构建就终止。1.3实现流程及伪代码
DSC0001.png
DSC0002.png

二、源代码
function varargout = AntColonyVRPGUI(varargin)
% ANTCOLONYVRPGUI M-file for AntColonyVRPGUI.fig
%    ANTCOLONYVRPGUI, by itself, creates a new ANTCOLONYVRPGUI or raises the existing
%    singleton*.
%
%    H = ANTCOLONYVRPGUI returns the handle to a new ANTCOLONYVRPGUI or the handle to
%    the existing singleton*.
%
%    ANTCOLONYVRPGUI('CALLBACK',hObject,eventData,handles,...) calls the local
%    function named CALLBACK in ANTCOLONYVRPGUI.M with the given input arguments.
%
%    ANTCOLONYVRPGUI('Property','Value',...) creates a new ANTCOLONYVRPGUI or raises the
%    existing singleton*.  Starting from the left, property value pairs are
%    applied to the GUI before AntColonyVRPGUI_OpeningFcn gets called.  An
%    unrecognized property name or invalid value makes property application
%    stop.  All inputs are passed to AntColonyVRPGUI_OpeningFcn via varargin.
%
%    *See GUI Options on GUIDE's Tools menu.  Choose "GUI allows only one
%    instance to run (singleton)".
%
% See also: GUIDE, GUIDATA, GUIHANDLES
 
% Edit the above text to modify the response to help AntColonyVRPGUI
 
% Last Modified by GUIDE v2.5 11-Jun-2015 00:13:48
 
% Begin initialization code - DO NOT EDIT
gui_Singleton = 1;
gui_State = struct('gui_Name',     mfilename, ...
           'gui_Singleton',  gui_Singleton, ...
           'gui_OpeningFcn', @AntColonyVRPGUI_OpeningFcn, ...
           'gui_OutputFcn',  @AntColonyVRPGUI_OutputFcn, ...
           'gui_LayoutFcn',  [] , ...
           'gui_Callback',   []);
if nargin && ischar(varargin{1})
  gui_State.gui_Callback = str2func(varargin{1});
end
 
if nargout
  [varargout{1:nargout}] = gui_mainfcn(gui_State, varargin{:});
else
  gui_mainfcn(gui_State, varargin{:});
end
% End initialization code - DO NOT EDIT
 
 
% --- Executes just before AntColonyVRPGUI is made visible.
function AntColonyVRPGUI_OpeningFcn(hObject, eventdata, handles, varargin)
% This function has no output args, see OutputFcn.
% hObject  handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
% varargin   command line arguments to AntColonyVRPGUI (see VARARGIN)
% Choose default command line output for AntColonyVRPGUI
handles.output = hObject;
 
%% change !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
handles.ismdvrp = true; %!!!
%%
if handles.ismdvrp == true
  [handles.initClusters, handles.coordinates] = INIT;
  handles.clusters = handles.initClusters;
  
  set(handles.uipanelBases,'Visible','on');
  create_init_plot_MDVRP(handles.coordinates, handles.clusters);
else
  %initialization
  [vehicles,demands,dist_stations,dist_bases] = INIT_VRP;
  handles.vehicles = vehicles;
  handles.demands = demands;
  handles.distances_stations = dist_stations;
  handles.distances_bases = dist_bases;
  
  set(handles.uipanelBases,'Visible','off');
end
% Update handles structure
guidata(hObject, handles);
 
% UIWAIT makes AntColonyVRPGUI wait for user response (see UIRESUME)
% uiwait(handles.figure1);
 
 
% --- Outputs from this function are returned to the command line.
function varargout = AntColonyVRPGUI_OutputFcn(hObject, eventdata, handles) 
% varargout  cell array for returning output args (see VARARGOUT);
% hObject  handle to figure
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
% Get default command line output from handles structure
varargout{1} = handles.output;
 
 
% --- Executes on selection change in algorithmPopupmenu.
function algorithmPopupmenu_Callback(hObject, eventdata, handles)
% hObject  handle to algorithmPopupmenu (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
% Hints: contents = cellstr(get(hObject,'String')) returns algorithmPopupmenu contents as cell array
%    contents{get(hObject,'Value')} returns selected item from algorithmPopupmenu
 
%set invisible error messages
set(handles.errorMandatoryEditFields,'Visible','off');
%erase text in edit fields
set(handles.evaporationPheromoneEdit,'String','');
set(handles.attractStationEdit,'String','');
set(handles.increasePheromoneEdit,'String','');
set(handles.amountPheromoneEdit,'String','');
set(handles.eliteAntsEdit,'String','');
%set disabled all edit fields
set(handles.evaporationPheromoneEdit,'Enable','off');
set(handles.attractStationEdit,'Enable','off');
set(handles.increasePheromoneEdit,'Enable','off');
set(handles.amountPheromoneEdit,'Enable','off');
set(handles.eliteAntsEdit,'Enable','off');
%set disabled run button
set(handles.runButton,'Enable','off');
%set to 0 all results
set(handles.lengthWayText,'String','-');
set(handles.subroutesNText,'String','-');
set(handles.timeSpentText,'String','-');
if handles.ismdvrp == true
  %set invisible bases' listbox
  set(handles.listboxBases,'Visible','off');
  set(handles.totalLengthText,'Visible','off');
  set(handles.totalLengthText,'String','-');
  set(handles.totalLengthLabel,'Visible','off');
   
  %clear plot
  cla;
  create_init_plot_MDVRP(handles.coordinates, handles.clusters);
end
%clear plot
%cla;
%clear legend
legend('off');
val = get(hObject,'Value');
if val ~= 1 %not placeholder's text (not be executed)
  if val ~= 2 %not Clark-Wright algorithm
    %enable edit fields 
    if val == 5 %AntAlg with elite ants
      set(handles.eliteAntsEdit,'Enable','on');
    end
    set(handles.evaporationPheromoneEdit,'Enable','on');
    set(handles.attractStationEdit,'Enable','on');
    set(handles.increasePheromoneEdit,'Enable','on');
    set(handles.amountPheromoneEdit,'Enable','on');
  end
  %enable run button
  set(handles.runButton,'Enable','on');  
end
 
 
% --- Executes during object creation, after setting all properties.
function algorithmPopupmenu_CreateFcn(hObject, eventdata, handles)
% hObject  handle to algorithmPopupmenu (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  empty - handles not created until after all CreateFcns called
 
% Hint: popupmenu controls usually have a white background on Windows.
%     See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
  set(hObject,'BackgroundColor','white');
end
 
 
function evaporationPheromoneEdit_Callback(hObject, eventdata, handles)
% hObject  handle to evaporationPheromoneEdit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
% Hints: get(hObject,'String') returns contents of evaporationPheromoneEdit as text
%    str2double(get(hObject,'String')) returns contents of evaporationPheromoneEdit as a double
 
 
% --- Executes during object creation, after setting all properties.
function evaporationPheromoneEdit_CreateFcn(hObject, eventdata, handles)
% hObject  handle to evaporationPheromoneEdit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  empty - handles not created until after all CreateFcns called
 
% Hint: edit controls usually have a white background on Windows.
%     See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
  set(hObject,'BackgroundColor','white');
end
 
 
 
function attractStationEdit_Callback(hObject, eventdata, handles)
% hObject  handle to attractStationEdit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
% Hints: get(hObject,'String') returns contents of attractStationEdit as text
%    str2double(get(hObject,'String')) returns contents of attractStationEdit as a double
 
 
% --- Executes during object creation, after setting all properties.
function attractStationEdit_CreateFcn(hObject, eventdata, handles)
% hObject  handle to attractStationEdit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  empty - handles not created until after all CreateFcns called
 
% Hint: edit controls usually have a white background on Windows.
%     See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
  set(hObject,'BackgroundColor','white');
end
 
 
function increasePheromoneEdit_Callback(hObject, eventdata, handles)
% hObject  handle to increasePheromoneEdit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
% Hints: get(hObject,'String') returns contents of increasePheromoneEdit as text
%    str2double(get(hObject,'String')) returns contents of increasePheromoneEdit as a double
 
 
% --- Executes during object creation, after setting all properties.
function increasePheromoneEdit_CreateFcn(hObject, eventdata, handles)
% hObject  handle to increasePheromoneEdit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  empty - handles not created until after all CreateFcns called
 
% Hint: edit controls usually have a white background on Windows.
%     See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
  set(hObject,'BackgroundColor','white');
end
 
 
function amountPheromoneEdit_Callback(hObject, eventdata, handles)
% hObject  handle to amountPheromoneEdit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
% Hints: get(hObject,'String') returns contents of amountPheromoneEdit as text
%    str2double(get(hObject,'String')) returns contents of amountPheromoneEdit as a double
 
 
% --- Executes during object creation, after setting all properties.
function amountPheromoneEdit_CreateFcn(hObject, eventdata, handles)
% hObject  handle to amountPheromoneEdit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  empty - handles not created until after all CreateFcns called
 
% Hint: edit controls usually have a white background on Windows.
%     See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
  set(hObject,'BackgroundColor','white');
end
 
 
 
function eliteAntsEdit_Callback(hObject, eventdata, handles)
% hObject  handle to eliteAntsEdit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
% Hints: get(hObject,'String') returns contents of eliteAntsEdit as text
%    str2double(get(hObject,'String')) returns contents of eliteAntsEdit as a double
 
 
% --- Executes during object creation, after setting all properties.
function eliteAntsEdit_CreateFcn(hObject, eventdata, handles)
% hObject  handle to eliteAntsEdit (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  empty - handles not created until after all CreateFcns called
 
% Hint: edit controls usually have a white background on Windows.
%     See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
  set(hObject,'BackgroundColor','white');
end
 
 
% --- Executes on button press in runButton.
function runButton_Callback(hObject, eventdata, handles)
% hObject  handle to runButton (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
%clear legend
legend('off');
%clear plot
%cla; 
%set invisible error messages
set(handles.errorMandatoryEditFields,'Visible','off');
 
indexAlg = get(handles.algorithmPopupmenu,'Value');
if indexAlg ~= 1 %not placeholder's text (not be executed)
  if indexAlg ~= 2 %not Clark-Wright algorithm
    if indexAlg == 5 %AntAlg with elite ants
      if isempty(get(handles.eliteAntsEdit,'String'))
        set(handles.errorMandatoryEditFields,'Visible','on');
        return;
      end
    end
    if  ( isempty(get(handles.evaporationPheromoneEdit,'String')) || ...
        isempty(get(handles.attractStationEdit,'String')) || ...
        isempty(get(handles.increasePheromoneEdit,'String')) || ...
        isempty(get(handles.amountPheromoneEdit,'String')) )
      
      set(handles.errorMandatoryEditFields,'Visible','on');
      return;
    end
  end
  %set disabled run button
  set(handles.runButton,'Enable','off');
  
  if handles.ismdvrp == true
    clusters = runAlgorithmMDVRP(indexAlg, handles);
    handles.clusters = clusters;
    
    listbox=findall(gcf,'tag','listboxBases');
    guidata(listbox,handles);
    %select first value in bases' listbox 
    set(handles.listboxBases,'Value',1);
    listboxBases_Callback(listbox, eventdata, handles);
  else
    runAlgorithmVRP(indexAlg, handles);  
  end
 
  %set enabled run button
  set(handles.runButton,'Enable','on');
  %set enabled zoom tools
  set(handles.toolZoomIn,'Enable','on');
  set(handles.toolZoomOut,'Enable','on');
  %set enabled pan tool
  set(handles.toolPan,'Enable','on');
  zoom reset;
end
 
function [clusters] = runAlgorithmMDVRP(index, handles)
  if index ~= 1
    if index ~= 2
      e = str2double(get(handles.evaporationPheromoneEdit,'String'));
      alpha = str2double(get(handles.attractStationEdit,'String'));
      beta = str2double(get(handles.increasePheromoneEdit,'String'));
      tau0 = str2double(get(handles.amountPheromoneEdit,'String'));
      E = str2double(get(handles.eliteAntsEdit,'String'));
    end
    
    try
      tStart = tic; %start spent time
      clusters = handles.initClusters;
      handles.clusters = clusters;
      basesName = cell(1,length(clusters)+1);
      basesName{1} = 'Full view';
      for c = 1:length(clusters)
        switch index
          case 2 %Clark-Wright
            [ Route, RouteLength, vehicles ] = Clark_Wright_VRP( ...
              clusters(c).demands, clusters(c).diststations, ...
              clusters(c).distbases, clusters(c).vehicles_capacity );
          case 3 %Ant-minpath
            [Route, RouteLength, vehicles] = ANT_colony_algorithm_VRP_minpath( ...
              clusters(c).diststations, clusters(c).distbases, ...
              clusters(c).demands, [e alpha beta tau0], clusters(c).vehicles_capacity );
          case 4 %Ant-partition
            [Route, RouteLength, vehicles] = ANT_colony_algorithm_VRP( ...
              clusters(c).diststations, clusters(c).distbases, ...
              clusters(c).demands, [e alpha beta tau0], clusters(c).vehicles_capacity );
          case 5 %Ant-elite ants
            [Route, RouteLength, vehicles] = ANT_colony_algorithm_VRP_with_elite_ants( ...
              clusters(c).diststations, clusters(c).distbases, ...
              clusters(c).demands, [e alpha beta tau0 E], clusters(c).vehicles_capacity );
        end
        handles.clusters(c).mdvrp = changeStations(clusters, vehicles, RouteLength, Route, c);
        basesName{c + 1} = sprintf('Base #%d',c); %saving bases that need to be added to listbox
      end
      tElapsed = toc(tStart); %end spent time
    catch ME
      msgbox(strcat('Error occured: ',ME.message),'Error','error');
    end
    clusters = handles.clusters;
    
    %clear plot
    cla;
    create_plot_route_with_vehicles_MDVRP(handles.coordinates, handles.clusters);
    
    set(handles.timeSpentText,'String',sprintf('%fs',tElapsed));
  
    set(handles.listboxBases, 'String', basesName);
    set(handles.listboxBases, 'Visible','on');
    set(handles.totalLengthText,'String',num2str(getTotalLength(handles.clusters)));
    set(handles.totalLengthText,'Visible','on');
    set(handles.totalLengthLabel,'Visible','on');
  end
  
function [mdvrp] = changeStations(clusters, vehicles, LR, R, clusterN)
     mdvrp = struct('length_route',[],'vehicles',[],'simpleVehicles',[],'num_of_subroutes',[]);
     len = length(vehicles);
     mdvrp.simpleVehicles = vehicles;
     for v = 1:len
       vehicles(v).route(vehicles(v).route == 1) = 0;
       len_route = length(vehicles(v).route);
       for vr = 1:len_route
         if vehicles(v).route(vr) ~= 0 %羼腓 礤 徉玎
           vehicles(v).route(vr) = clusters(clusterN).stations(vehicles(v).route(vr)-1);
         end
       end
     end
     mdvrp.num_of_subroutes = number_of_subroutes(R);
     mdvrp.length_route = LR;
     mdvrp.vehicles = vehicles;
 
function [tlength] = getTotalLength(clusters)
  tlength = 0;
  clen = length(clusters);
  for c = 1:clen
    tlength = tlength + clusters(c).mdvrp.length_route;
  end
 
     
     
function runAlgorithmVRP(index, handles)
  if index ~= 1
    if index ~= 2
      e = str2double(get(handles.evaporationPheromoneEdit,'String'));
      alpha = str2double(get(handles.attractStationEdit,'String'));
      beta = str2double(get(handles.increasePheromoneEdit,'String'));
      tau0 = str2double(get(handles.amountPheromoneEdit,'String'));
      E = str2double(get(handles.eliteAntsEdit,'String'));
    end
    
    try
      tStart = tic; %start spent time
      switch index
        case 2 %Clark-Wright
          [Route,RouteLength,vehicles] = Clark_Wright_VRP( handles.demands, ...
            handles.distances_stations, handles.distances_bases, handles.vehicles );
        case 3 %Ant-minpath
          [Route,RouteLength,vehicles] = ANT_colony_algorithm_VRP_minpath( handles.distances_stations,...
            handles.distances_bases, handles.demands, [e alpha beta tau0], handles.vehicles);
        case 4 %Ant-partition
          [Route,RouteLength,vehicles] = ANT_colony_algorithm_VRP( handles.distances_stations, ...
            handles.distances_bases, handles.demands, [e alpha beta tau0], handles.vehicles);
        case 5 %Ant-elite ants
          [Route,RouteLength,vehicles] = ANT_colony_algorithm_VRP_with_elite_ants( ...
            handles.distances_stations, handles.distances_bases, handles.demands, ...
            [e alpha beta tau0 E], handles.vehicles);
      end
      tElapsed = toc(tStart); %end spent time
      create_plot_route_with_vehicles( add_bases_to_distances(handles.distances_stations, ...
        handles.distances_bases), vehicles, [0 handles.demands] );
    catch ME
      msgbox(strcat('Error occured: ',ME.message),'Error','error');
    end
    
    set(handles.lengthWayText,'String',num2str(RouteLength));
    set(handles.subroutesNText,'String',num2str(number_of_subroutes(Route)));
    set(handles.timeSpentText,'String',sprintf('%fs',tElapsed));
  end
 
 
% --------------------------------------------------------------------
function dataTooltip_ClickedCallback(hObject, eventdata, handles)
% hObject  handle to dataTooltip (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
 
% --------------------------------------------------------------------
function algorithmTooltip_ClickedCallback(hObject, eventdata, handles)
% hObject  handle to algorithmTooltip (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
 
% --- Executes on selection change in listboxBases.
function listboxBases_Callback(hObject, eventdata, handles)
% hObject  handle to listboxBases (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
% Hints: contents = cellstr(get(hObject,'String')) returns listboxBases contents as cell array
%    contents{get(hObject,'Value')} returns selected item from listboxBases
 
%clear legend
legend('off');
%clear plot
cla;
 
index = get(handles.listboxBases,'value') - 1;
if index == 0 %if user want to see the full graph of routes
  create_plot_route_with_vehicles_MDVRP(handles.coordinates, handles.clusters);
  set(handles.lengthWayText,'String','-');
  set(handles.subroutesNText,'String','-'); 
else
  create_plot_of_base_MDVRP(handles.coordinates, handles.clusters, index);
  set(handles.lengthWayText,'String',num2str(handles.clusters(index).mdvrp.length_route));
  set(handles.subroutesNText,'String',num2str(handles.clusters(index).mdvrp.num_of_subroutes)); 
end
 
% --- Executes during object creation, after setting all properties.
function listboxBases_CreateFcn(hObject, eventdata, handles)
% hObject  handle to listboxBases (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  empty - handles not created until after all CreateFcns called
 
% Hint: listbox controls usually have a white background on Windows.
%     See ISPC and COMPUTER.
if ispc && isequal(get(hObject,'BackgroundColor'), get(0,'defaultUicontrolBackgroundColor'))
  set(hObject,'BackgroundColor','white');
end
 
 
% --------------------------------------------------------------------
function aboutMenu_Callback(hObject, eventdata, handles)
% hObject  handle to aboutMenu (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
About %call gui About.m
 
% --------------------------------------------------------------------
function fileMenu_Callback(hObject, eventdata, handles)
% hObject  handle to fileMenu (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
 
% --------------------------------------------------------------------
function anotherVRPSubmenu_Callback(hObject, eventdata, handles)
% hObject  handle to anotherVRPSubmenu (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)
 
 
% --------------------------------------------------------------------
function newDataSubmenu_Callback(hObject, eventdata, handles)
% hObject  handle to newDataSubmenu (see GCBO)
% eventdata  reserved - to be defined in a future version of MATLAB
% handles  structure with handles and user data (see GUIDATA)

三、运行结果
DSC0003.png


四、备注
  版本:2014a

  
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