Shamir秘密共享机制（加法、乘法共享）Matlab可视化实现
2024-07-06 22:15:11
具体秘密共享的流程可以参考下面这个链接的内容：https://blog.csdn.net/Matrix_element/article/details/117357359
main1.m
加法方案的主函数：确认门限（代码里（5，3））以及对应的两个多项式（代码对应的多项式是y1 = 2 * x ^ 2 - 3 * x + 4, y2 = x ^ 2 + 5 x - 6，所以通过多项式分发给每个人两个值，最后通过3个人的子秘密和恢复出4 + -6 = - 2）-> 给每个人分发子秘密值 -> 通过3个人的子秘密值和使用拉格朗日恢复出-2(两个多项式的常数项和)
%%%加法方案
%%分发
% 首先确定方案门限值a = [5,3];
% 输入多项式的参数，生成每个人相应的密钥
% coef1 = [2,-3,4;
% 1,5,-6];%自己定义多项式系数矩阵
coef1 = ceil(rand(2,a(2))*10)%随机生成多项式系数矩阵s = Sharing(a, coef1);add_s = sum(s,2);%%恢复
%P = [1,3,5];
P = [1,add_s(1);3,add_s(3);5,add_s(5)];
y = Recover(a,P)
% %恢复加法秘密值
% ab=0;
% ab = add_s(1) * ( (0-P(2)) * (0-P(3)) ) / ( (P(1)-P(2)) * (P(1)-P(3)) ) + ...
% add_s(3) * ( (0-P(1)) * (0-P(3)) ) / ( (P(2)-P(1)) * (P(2)-P(3)) ) + ...
% add_s(5) * ( (0-P(1)) * (0-P(2)) ) / ( (P(3)-P(1)) * (P(3)-P(2)) )
% %恢复多项式
% syms x;
% y = add_s(1) * ( (x-P(2)) * (x-P(3)) ) / ( (P(1)-P(2)) * (P(1)-P(3)) ) + ...
% add_s(3) * ( (x-P(1)) * (x-P(3)) ) / ( (P(2)-P(1)) * (P(2)-P(3)) ) + ...
% add_s(5) * ( (x-P(1)) * (x-P(2)) ) / ( (P(3)-P(1)) * (P(3)-P(2)) )
% y = expand(y)main2.m
乘法方案主函数：确认门限以及对应的两个多项式-> 给每个分发子秘密值 -> 每个人再通过分发的子秘密值乘积为常数项生成自己的多项式->用自己的多项式给每个人再次进行分发（代码里的C矩阵）->计算lamda向量（这个每个人都可以计算） ->根据计算的lamda向量和每个人手里拥有的向量求每个人的最终拥有的子秘密值-> 通过3个人的子秘密值和使用拉格朗日恢复出-24(两个多项式的常数项积)
%%%乘法
%%一、首先确定方案门限值a = [5,3];
% 输入多项式的参数，生成每个人相应的密钥
%coef1 = ceil(rand(2,a(2))*10)%随机生成矩阵值coef1 = [2,-3,4;1,5,-6];%或者自定义矩阵s = Sharing(a, coef1);mul_s = prod(s,2);%%二、每个P根据自己得到的d生成自己的n-1次多项式，并分发给每个参与者
%coef_H = [ceil(rand(a(1),a(2)-1)*100),mul_s]%随机生成多项式系数矩阵
coef_H = [1,-1,mul_s(1);1,-10,mul_s(2);1,-100,mul_s(3);1,-200,mul_s(4);1,-300,mul_s(5)];%或者自定义多项式系数矩阵
%计算C矩阵
CMatrix = CalculateCMatrix1(a,coef_H)%%三、计算λ矩阵，每个人Pi根据自己得到的5个cji(1 <= j <= 5)
lamda = zeros(1,a(1));
M = zeros(a(1),a(1));
m = [1:1:a(1)]';
for i = 1:a(1)M(:,i) = m.^(i-1)
end
% M = [1,1,1,1,1;
% 1,2,2^2,2^3,2^4;
% 1,3,3^2,3^3,3^4;
% 1,4,4^2,4^3,4^4;
% 1,5,5^2,5^3,5^4];
lamda = [1,0,0,0,0] * inv(M);
%每个人根据自己得到的Cji计算C值
C = lamda * CMatrix;%%四、进行恢复（比如满足1,3,5人）,根据这几个人计算得到的C值进行恢复
P = [1,3,5];
ab=0;
ab = C(P(1)) * ( (0-P(2)) * (0-P(3)) ) / ( (P(1)-P(2)) * (P(1)-P(3)) ) + ...C(P(2)) * ( (0-P(1)) * (0-P(3)) ) / ( (P(2)-P(1)) * (P(2)-P(3)) ) + ...C(P(3)) * ( (0-P(1)) * (0-P(2)) ) / ( (P(3)-P(1)) * (P(3)-P(2)) )
%恢复多项式
syms x;
y = C(P(1)) * ( (x-P(2)) * (x-P(3)) ) / ( (P(1)-P(2)) * (P(1)-P(3)) ) + ...C(P(2)) * ( (x-P(1)) * (x-P(3)) ) / ( (P(2)-P(1)) * (P(2)-P(3)) ) + ...C(P(3)) * ( (x-P(1)) * (x-P(2)) ) / ( (P(3)-P(1)) * (P(3)-P(2)) );
y = expand(y)
Sharing.m
function [s] = Sharing(a,b)
%计算分发给每个人的密钥
poly_num = size(b,1);%多项式个数
s = zeros(a(1),poly_num);
max = size(b,2);%每个多项式项数
for x = 1:a(1)for i = 1:poly_numfor j = 0:max-1s(x,i) = s(x,i) + b(i,max-j) * x^j;end
% s(x,1) = b(1,1) * x^2 + b(1,2) * x + b(1,3);
% s(x,2) = b(2,1) * x^2 + b(2,2) * x + b(2,3);end
end
CalculateCMatrix.m
计算c矩阵方法1
function [s] = CalculateCMatrix(a,coef_H)% s = zeros(a(1),a(1));
% max = size(coef_H,2);
% for i = 1:a(1)
% for j = 1:a(1)
% for t = 0:max-1
% s(i,j) = s(i,j) + coef_H(i,max-t) * j^t;
% end
% end
% endM = zeros(a(2),a(1));
m = [1:1:a(1)];
for i = a(2):-1:1M(i,:) = m.^(a(2)-i);
end
s = coef_H * M;end方法2：
function [C] = CalculateCMatrix(a,coef_H)
C = zeros(a(1),a(1));
for i = 1:a(1)for j = 1:a(1)C(i,j) = coef_H(i,1) * j^2 + coef_H(i,2) * j + coef_H(i,3);end
end
end
Recover.m
朗格朗日恢复
function [y] = Recover(a,P)num = size(P,1);y = 0;if num<a(2)tip = "人数不足恢复"elsesyms x;for i = 1:nums = P(i,2);for j = 1:num if(i ~= j)s = s * (x - P(j,1))/ ( P(i,1) - P(j,1) );end endy = y + s;end
% y = add_s(1) * ( (x-P(2)) * (x-P(3)) ) / ( (P(1)-P(2)) * (P(1)-P(3)) ) + ...
% add_s(3) * ( (x-P(1)) * (x-P(3)) ) / ( (P(2)-P(1)) * (P(2)-P(3)) ) + ...
% add_s(5) * ( (x-P(1)) * (x-P(2)) ) / ( (P(3)-P(1)) * (P(3)-P(2)) )endy = expand(y);
end
以上函数可以将整个流程进行实现。接下来使用matlab appdesigner调用上面函数进行可视化实现，整个流程更加清晰明了。
classdef SharingSecret < matlab.apps.AppBase% Properties that correspond to app componentsproperties (Access = public)UIFigure matlab.ui.FigureShamirLabel matlab.ui.control.LabelPanel matlab.ui.container.PanelButton matlab.ui.control.ButtonnSpinnerLabel matlab.ui.control.LabelnSpinner matlab.ui.control.SpinnermSpinnerLabel matlab.ui.control.LabelmSpinner matlab.ui.control.SpinnernmEditFieldLabel matlab.ui.control.LabelnmEditField matlab.ui.control.EditFieldPanel_2 matlab.ui.container.PanelButtonGroup_2 matlab.ui.container.ButtonGroupButton_4 matlab.ui.control.RadioButtonButton_5 matlab.ui.control.RadioButtonUITable matlab.ui.control.TableButton_6 matlab.ui.control.ButtonUITable2 matlab.ui.control.TablePanel_3 matlab.ui.container.PanelLabel_4 matlab.ui.control.LabelUITable2_3 matlab.ui.control.TableUITable2_4 matlab.ui.control.TableCLabel matlab.ui.control.LabelCLabel_2 matlab.ui.control.LabelUITable2_5 matlab.ui.control.TableButtonGroup_3 matlab.ui.container.ButtonGroupButton_9 matlab.ui.control.RadioButtonButton_10 matlab.ui.control.RadioButtonButton_11 matlab.ui.control.ButtonButton_12 matlab.ui.control.ButtonPanel_4 matlab.ui.container.PanelTextArea matlab.ui.control.TextAreaButton_8 matlab.ui.control.ButtonButton_7 matlab.ui.control.ButtonEditFieldLabel matlab.ui.control.LabeliEditField2 matlab.ui.control.NumericEditFieldiEditFieldLabel matlab.ui.control.LabeliEditField matlab.ui.control.NumericEditFieldUITable3 matlab.ui.control.TableButton_14 matlab.ui.control.ButtonButton_13 matlab.ui.control.Buttonendproperties (Access = private)a;%门限flag_trapdoor = 0; %门限是否设置成功flag_share = 0; %分发是否成功s;%给每个人分发的秘密值s_add;%加法方案分配给每个人的值求和s_mul;%乘法方案分配给每个人的值求积endmethods (Access = private)% Button pushed function: Buttonfunction Trapdoor(app, event)temp1 = app.nSpinner.Value;temp2 = app.mSpinner.Value;app.a = [temp1,temp2];if temp2 > temp1msgbox("解密人数>总人数，重新输入","提示"); elseif temp2 <= 1msgbox("解密人数需大于1","提示"); elseapp.nmEditField.Value = "(" + app.a(1) + "," + app.a(2) + ")";app.flag_trapdoor = 1;temp = char();for i = 1:app.a(1)temp = [temp;sprintf('第%3d个人',i)]; end app.UITable2.ColumnName = temp;app.UITable2_3.ColumnName = temp;app.UITable2_4.ColumnName = temp;app.UITable2_5.ColumnName = temp;
% c = char();
% for i = 1:app.a(2)
% if i==1
% c = [' 常数项 ';c];
% else
% c = [sprintf('%3d次项系数 ',i-1);c];
% end
%
% end
% app.UITable2_3.RowName = c;%app.ButtonGroup_2.SelectedObject.Value = 0;endend% Callback function: ButtonGroup_2, UITable2function ButtonGroup_2SelectionChanged(app, event)selectedButton = app.ButtonGroup_2.SelectedObject;if app.flag_trapdoor == 0msgbox("请先输入门限值","提示");elsec = char();for i = 1:app.a(2)if i==1c = [' 常数项 ';c];elsec = [sprintf('%3d次项系数 ',i-1);c];endendapp.UITable.RowName = c;b = zeros(app.a(2),2); app.UITable.Data = b;switch selectedButton.Textcase "自定义多项式系数"%msgbox('1');app.UITable.Data = b;case "随机生成"%msgbox('2');%app.UITable.RowName = c;%app.UITable.Data = ceil(rand(2,app.a(2))*10)';app.UITable.Data = randi([-10 10],app.a(2),2);app.flag_share = 1; endendend% Cell edit callback: UITablefunction UITableCellEdit(app, event)end% Button pushed function: Button_6function Button_6Pushed(app, event)app.s = Sharing(app.a, app.UITable.Data');app.UITable2.Data = app.s';app.sapp.s_add = sum(app.s, 2);app.s_mul = prod(app.s, 2);end% Button pushed function: Button_7function Button_7Pushed(app, event)%t;temp = [app.iEditField.Value,app.iEditField2.Value];app.UITable3.Data = [app.UITable3.Data;temp];end% Button pushed function: Button_8function Button_8Pushed(app, event)if size(app.UITable3.Data,1)<app.a(2)msgbox("不足恢复人数","提示");else P = app.UITable3.Data(1:app.a(2),:);%取前m行进行计算y = Recover(app.a,P);app.TextArea.Value = string(y);endend% Selection changed function: ButtonGroup_3function ButtonGroup_3SelectionChanged(app, event)selectedButton = app.ButtonGroup_3.SelectedObject;if app.flag_share ==0msgbox("请先完成乘法密钥分发","提示");elsec = char();for i = 1:app.a(2)if i==1c = [' 常数项 ';c];elsec = [sprintf('%3d次项系数 ',i-1);c];endendb = zeros(app.a(2),app.a(1)); app.UITable2_3.Data = b;switch selectedButton.Textcase "自定义多项式系数"%msgbox('1');app.UITable2_3.ColumnEditable = true;app.UITable2_3.Data = b;case "随机生成"%msgbox('2');app.UITable2_3.RowName = c;
% t = ceil(rand(app.a(1),app.a(2)-1)*10)'
% t = app.s%app.UITable2_3.Data = [ceil(rand(app.a(1),app.a(2)-1)*10)';app.s_mul']; app.UITable2_3.Data = [randi([-100 100],app.a(2)-1,app.a(1));app.s_mul'];endendend% Button pushed function: Button_11function Button_11Pushed(app, event)CMatrix = CalculateCMatrix(app.a,app.UITable2_3.Data')app.UITable2_4.Data = CMatrix;end% Button pushed function: Button_12function Button_12Pushed(app, event)%lamda = zeros(1,a(1));M = zeros(app.a(1),app.a(1));m = [1:1:app.a(1)]';for i = 1:app.a(1)M(:,i) = m.^(i-1)enddesMatrix = zeros(1,app.a(1));desMatrix(1) = 1;lamda = desMatrix * inv(M);%每个人根据自己得到的Cji计算C值C = lamda * app.UITable2_4.Data;app.UITable2_5.Data = C;end% Button pushed function: Button_13function Button_13Pushed(app, event)app.UITable.Data = [];app.UITable2.Data = [];app.UITable2_3.Data = [];app.UITable2_4.Data = [];app.UITable2_5.Data = [];app.UITable3.Data = [];app.TextArea.Value = "";app.iEditField.Value= 0;app.iEditField2.Value= 0;app.nmEditField.Value = '';app.nSpinner.Value = 0;app.mSpinner.Value = 0;end% Button pushed function: Button_14function Button_14Pushed(app, event)app.UITable3.Data = [];endend% App initialization and constructionmethods (Access = private)% Create UIFigure and componentsfunction createComponents(app)% Create UIFigureapp.UIFigure = uifigure;app.UIFigure.Color = [0.9412 0.9412 0.9412];app.UIFigure.Position = [100 100 640 734];app.UIFigure.Name = 'UI Figure';app.UIFigure.Resize = 'off';% Create ShamirLabelapp.ShamirLabel = uilabel(app.UIFigure);app.ShamirLabel.BackgroundColor = [0.302 0.749 0.9294];app.ShamirLabel.HorizontalAlignment = 'center';app.ShamirLabel.FontName = '微软雅黑';app.ShamirLabel.FontSize = 20;app.ShamirLabel.FontWeight = 'bold';app.ShamirLabel.Position = [1 706 640 29];app.ShamirLabel.Text = '隐私计算-Shamir秘密共享方案';% Create Panelapp.Panel = uipanel(app.UIFigure);app.Panel.BorderType = 'none';app.Panel.TitlePosition = 'centertop';app.Panel.Title = '确认门限方案';app.Panel.BackgroundColor = [1 1 0.9412];app.Panel.FontWeight = 'bold';app.Panel.FontSize = 16;app.Panel.Position = [1 625 640 82];% Create Buttonapp.Button = uibutton(app.Panel, 'push');app.Button.ButtonPushedFcn = createCallbackFcn(app, @Trapdoor, true);app.Button.Position = [365 18 100 25];app.Button.Text = '确定';% Create nSpinnerLabelapp.nSpinnerLabel = uilabel(app.Panel);app.nSpinnerLabel.HorizontalAlignment = 'right';app.nSpinnerLabel.Position = [4 19 68 22];app.nSpinnerLabel.Text = '总人数(n)：';% Create nSpinnerapp.nSpinner = uispinner(app.Panel);app.nSpinner.Limits = [0 1000];app.nSpinner.ValueDisplayFormat = '%.0f';app.nSpinner.HorizontalAlignment = 'center';app.nSpinner.Position = [71 19 83 22];% Create mSpinnerLabelapp.mSpinnerLabel = uilabel(app.Panel);app.mSpinnerLabel.HorizontalAlignment = 'right';app.mSpinnerLabel.Position = [175 19 83 22];app.mSpinnerLabel.Text = '解密人数(m)：';% Create mSpinnerapp.mSpinner = uispinner(app.Panel);app.mSpinner.Limits = [0 1000];app.mSpinner.ValueDisplayFormat = '%.0f';app.mSpinner.HorizontalAlignment = 'center';app.mSpinner.Position = [257 19 80 22];% Create nmEditFieldLabelapp.nmEditFieldLabel = uilabel(app.Panel);app.nmEditFieldLabel.HorizontalAlignment = 'right';app.nmEditFieldLabel.Position = [485 19 69 22];app.nmEditFieldLabel.Text = '门限(n,m)：';% Create nmEditFieldapp.nmEditField = uieditfield(app.Panel, 'text');app.nmEditField.Editable = 'off';app.nmEditField.HorizontalAlignment = 'center';app.nmEditField.Position = [553 19 74 22];% Create Panel_2app.Panel_2 = uipanel(app.UIFigure);app.Panel_2.TitlePosition = 'centertop';app.Panel_2.Title = '加法乘法方案子秘密值分发';app.Panel_2.BackgroundColor = [0.9608 1 0.9804];app.Panel_2.FontWeight = 'bold';app.Panel_2.FontSize = 16;app.Panel_2.Position = [1 422 640 204];% Create ButtonGroup_2app.ButtonGroup_2 = uibuttongroup(app.Panel_2);app.ButtonGroup_2.SelectionChangedFcn = createCallbackFcn(app, @ButtonGroup_2SelectionChanged, true);app.ButtonGroup_2.Position = [8 133 292 30];% Create Button_4app.Button_4 = uiradiobutton(app.ButtonGroup_2);app.Button_4.Text = '自定义多项式系数';app.Button_4.Position = [11 3 118 22];app.Button_4.Value = true;% Create Button_5app.Button_5 = uiradiobutton(app.ButtonGroup_2);app.Button_5.Text = '随机生成';app.Button_5.Position = [198 4 70 22];% Create UITableapp.UITable = uitable(app.Panel_2);app.UITable.ColumnName = {'第一个多项式参数'; '第二个多项式参数'};app.UITable.RowName = {};app.UITable.ColumnEditable = true;app.UITable.CellEditCallback = createCallbackFcn(app, @UITableCellEdit, true);app.UITable.Position = [8 13 292 114];% Create Button_6app.Button_6 = uibutton(app.Panel_2, 'push');app.Button_6.ButtonPushedFcn = createCallbackFcn(app, @Button_6Pushed, true);app.Button_6.Position = [517 137 100 26];app.Button_6.Text = '分发子秘密值';% Create UITable2app.UITable2 = uitable(app.Panel_2);app.UITable2.ColumnName = '';app.UITable2.RowName = {};app.UITable2.CellEditCallback = createCallbackFcn(app, @ButtonGroup_2SelectionChanged, true);app.UITable2.Position = [325 13 292 114];% Create Panel_3app.Panel_3 = uipanel(app.UIFigure);app.Panel_3.TitlePosition = 'centertop';app.Panel_3.Title = '乘法方案再分发';app.Panel_3.BackgroundColor = [0.9412 1 0.9412];app.Panel_3.FontWeight = 'bold';app.Panel_3.FontSize = 16;app.Panel_3.Position = [1 176 640 247];% Create Label_4app.Label_4 = uilabel(app.Panel_3);app.Label_4.HorizontalAlignment = 'center';app.Label_4.Position = [13 197 113 22];app.Label_4.Text = '再分发多项式系数：';% Create UITable2_3app.UITable2_3 = uitable(app.Panel_3);app.UITable2_3.ColumnName = '';app.UITable2_3.RowName = {};app.UITable2_3.Position = [10 69 292 96];% Create UITable2_4app.UITable2_4 = uitable(app.Panel_3);app.UITable2_4.ColumnName = '';app.UITable2_4.RowName = {};app.UITable2_4.Position = [325 70 292 124];% Create CLabelapp.CLabel = uilabel(app.Panel_3);app.CLabel.HorizontalAlignment = 'center';app.CLabel.Position = [325 197 38 22];app.CLabel.Text = 'C矩阵';% Create CLabel_2app.CLabel_2 = uilabel(app.Panel_3);app.CLabel_2.HorizontalAlignment = 'center';app.CLabel_2.Position = [3 34 142 22];app.CLabel_2.Text = '每人计算的C值(子秘密值)';% Create UITable2_5app.UITable2_5 = uitable(app.Panel_3);app.UITable2_5.ColumnName = '';app.UITable2_5.RowName = {};app.UITable2_5.Position = [143 7 474 49];% Create ButtonGroup_3app.ButtonGroup_3 = uibuttongroup(app.Panel_3);app.ButtonGroup_3.SelectionChangedFcn = createCallbackFcn(app, @ButtonGroup_3SelectionChanged, true);app.ButtonGroup_3.Position = [10 164 292 30];% Create Button_9app.Button_9 = uiradiobutton(app.ButtonGroup_3);app.Button_9.Text = '自定义多项式系数';app.Button_9.Position = [11 3 118 22];app.Button_9.Value = true;% Create Button_10app.Button_10 = uiradiobutton(app.ButtonGroup_3);app.Button_10.Text = '随机生成';app.Button_10.Position = [198 4 70 22];% Create Button_11app.Button_11 = uibutton(app.Panel_3, 'push');app.Button_11.ButtonPushedFcn = createCallbackFcn(app, @Button_11Pushed, true);app.Button_11.FontSize = 10;app.Button_11.Position = [536 199 82 18];app.Button_11.Text = '确定计算';% Create Button_12app.Button_12 = uibutton(app.Panel_3, 'push');app.Button_12.ButtonPushedFcn = createCallbackFcn(app, @Button_12Pushed, true);app.Button_12.FontSize = 10;app.Button_12.Position = [37 7 82 18];app.Button_12.Text = '确定计算';% Create Panel_4app.Panel_4 = uipanel(app.UIFigure);app.Panel_4.TitlePosition = 'centertop';app.Panel_4.Title = '恢复';app.Panel_4.BackgroundColor = [0.9333 0.9137 0.9137];app.Panel_4.FontWeight = 'bold';app.Panel_4.FontSize = 16;app.Panel_4.Position = [1 1 640 176];% Create TextAreaapp.TextArea = uitextarea(app.Panel_4);app.TextArea.Editable = 'off';app.TextArea.Position = [325 14 293 86];% Create Button_8app.Button_8 = uibutton(app.Panel_4, 'push');app.Button_8.ButtonPushedFcn = createCallbackFcn(app, @Button_8Pushed, true);app.Button_8.Position = [517 117 100 25];app.Button_8.Text = '确定恢复';% Create Button_7app.Button_7 = uibutton(app.Panel_4, 'push');app.Button_7.ButtonPushedFcn = createCallbackFcn(app, @Button_7Pushed, true);app.Button_7.Position = [206 117 42 25];app.Button_7.Text = '添加';% Create EditFieldLabelapp.EditFieldLabel = uilabel(app.Panel_4);app.EditFieldLabel.HorizontalAlignment = 'right';app.EditFieldLabel.Position = [103 120 41 22];app.EditFieldLabel.Text = '秘密值';% Create iEditField2app.iEditField2 = uieditfield(app.Panel_4, 'numeric');app.iEditField2.Position = [148 120 40 22];% Create iEditFieldLabelapp.iEditFieldLabel = uilabel(app.Panel_4);app.iEditFieldLabel.HorizontalAlignment = 'right';app.iEditFieldLabel.Position = [20 120 32 22];app.iEditFieldLabel.Text = '第i人';% Create iEditFieldapp.iEditField = uieditfield(app.Panel_4, 'numeric');app.iEditField.Position = [59 120 40 22];% Create UITable3app.UITable3 = uitable(app.Panel_4);app.UITable3.ColumnName = {'第i人'; '第i人秘密值'};app.UITable3.RowName = {};app.UITable3.ColumnEditable = true;app.UITable3.Position = [8 11 288 92];% Create Button_14app.Button_14 = uibutton(app.Panel_4, 'push');app.Button_14.ButtonPushedFcn = createCallbackFcn(app, @Button_14Pushed, true);app.Button_14.Position = [254 116 42 26];app.Button_14.Text = '清空';% Create Button_13app.Button_13 = uibutton(app.UIFigure, 'push');app.Button_13.ButtonPushedFcn = createCallbackFcn(app, @Button_13Pushed, true);app.Button_13.BackgroundColor = [0 0.6 1];app.Button_13.FontColor = [1 1 1];app.Button_13.Position = [576 710 42 21];app.Button_13.Text = '清空';endendmethods (Access = public)% Construct appfunction app = SharingSecret% Create and configure componentscreateComponents(app)% Register the app with App DesignerregisterApp(app, app.UIFigure)if nargout == 0clear appendend% Code that executes before app deletionfunction delete(app)% Delete UIFigure when app is deleteddelete(app.UIFigure)endend
end
加法流程：
乘法流程：
（代码实现可能可以通过matlab的函数实现更简单的实现，自己实现和可视化是一天内现学的所以可能有些缺点，但是大致流程是这样的。代码包和生成的.exe文件上传在了我的资源里以及github(https://github.com/xuekema/shamirSecretSharing)）
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