Other alternative to sym for compiler

Hi everyone.

I am creating a GUI program. I chose a vector lambda and found 2 vector wich variable is lambda.

To to this I use sym. I creat an equation and matlab derive it analytically twice.

But when I want to creat an exe. with the compiler, sym can't be use....Do you know an alternative?

The first I know is to do numerical derivation, but their is a loose of precision.

Regards

function Simu

close all
% f=figure('units','normalized','outerposition',[0 0 1 1]);
% f=figure('WindowState','fullscreen');
f=figure,
set(gcf,'position',[100 100 500 500])
%%%%%%%%%%%%%%%%%%%Laser param
dim = [.2 .5 .3 .3];
Lx=0.5
Ly=1/12
str = 'Thickness[nm]';
annotation('textbox','String',str,'FitBoxToText','on','Position',[0.0 0.95-2*Ly Lx 2*Ly]);
edit1= uicontrol( 'Style', 'edit','Units', 'normal','Position',[0.0 0.95-2*Ly Lx Ly],'FontSize', 15,'BackgroundColor', 'white',...
    'String','680');


str2 = 'Radius[µm]';
annotation('textbox',dim,'String',str2,'FitBoxToText','on','Position',[0.0+Lx 0.95-2*Ly Lx 2*Ly]);
edit2= uicontrol( 'Style', 'edit','Units', 'normal','Position',[0.0+Lx 0.95-2*Ly Lx Ly],'FontSize', 15,'BackgroundColor', 'white',...
    'String','28');


str3 = 'Lambda_{ini}[nm]';
annotation('textbox',dim,'String',str3,'FitBoxToText','on','Position',[0.0 0.95-4*Ly Lx 2*Ly]);
edit3= uicontrol( 'Style', 'edit','Units', 'normal','Position',[0.0 0.95-4*Ly Lx Ly],'FontSize', 15,'BackgroundColor', 'white',...
    'String','800');



str4 = 'Lambda_{end}[nm]';
annotation('textbox',dim,'String',str4,'FitBoxToText','on','Position',[0.0+Lx 0.95-4*Ly Lx 2*Ly]);
edit4= uicontrol( 'Style', 'edit','Units', 'normal','Position',[0.0+Lx 0.95-4*Ly Lx Ly],'FontSize', 15,'BackgroundColor', 'white',...
    'String','1200');


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


str9 = 'Gas';
annotation('textbox',dim,'String',str9,'FitBoxToText','on','Position',[0.0 0.95-6*Ly Lx 2*Ly]);
edit9= uicontrol( 'Style', 'edit','Units', 'normal','Position',[0.0 0.95-6*Ly Lx Ly],'FontSize', 15,'BackgroundColor', 'white',...
    'String','0');
listbox1 = uicontrol('Style','listbox','Units', 'normal','Position',[0.0 0.95-6*Ly Lx Ly],'Max',6,'String',{'Air';'Argon';'Xenon'})  ;


str10 = 'P(bar)';
annotation('textbox',dim,'String',str10,'FitBoxToText','on','Position',[0.0+Lx 0.95-6*Ly Lx 2*Ly]);
edit10= uicontrol( 'Style', 'edit','Units', 'normal','Position',[0.0+Lx 0.95-6*Ly Lx Ly],'FontSize', 15,'BackgroundColor', 'white',...
    'String','1');


str11 = 'Number of point ';
annotation('textbox',dim,'String',str11,'FitBoxToText','on','Position',[0.0 0.95-8*Ly Lx 2*Ly]);
edit11= uicontrol( 'Style', 'edit','Units', 'normal','Position',[0.0 0.95-8*Ly Lx Ly],'FontSize', 15,'BackgroundColor', 'white',...
    'String','200');

PushButton = uicontrol(gcf,'Style', 'push', 'String', 'Run','Units', 'normal','Position',[0.0 0.95-10*Ly Lx 2*Ly],'CallBack', @PushB);
PushButton2 = uicontrol(gcf,'Style', 'push', 'String', 'Stop','Units', 'normal','Position',[0.0 0.95-12*Ly Lx 2*Ly],'CallBack', @endLoop);

    function endLoop(hObject,eventdata,handles)
        handles.endLoop=true;
        guidata(hObject, handles);
    end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    function [] = PushB(hObject,eventdata,handles)
        
        % val = str2num(char(get(edit11,'String')));
        edi1 = str2num(char(get(edit1,'String')));
        edi2 = str2num(char(get(edit2,'string')));
        edi3= str2num(char(get(edit3,'string')));
        edi4 =str2num(char(get(edit4,'string')));
        
        edi9 =str2num(char(get(edit9,'string')));
        edi10 = str2num(char(get(edit10,'string')));
        edi11 = str2num(char(get(edit11,'string')));
        
        index_selected = get(listbox1,'Value');
        list = get(listbox1,'String');
        gas = list{index_selected}; 
     
        gas;
        
        %%
        
        
        a=2.405*2.405;
        c=3e8;
        
        rc=edi2.*1e-6; %en m
        t=edi1.*1e-9;% en m
        n_g=1.45;
        
        Pression_bar=edi10;
        Pression_Pa=Pression_bar*1e5;           %%%%%  (Pa)  %%%%%%%
        Pression_atm=101325;
        pgas=Pression_bar *1e5;
        
       nbr=edi11;
        
        L_start=edi3  ;
        L_stop= edi4 ;
        
        A1=0.05792105;
        A2=238.0185;
        B1=0.00167917;
        B2=57.362;
        C1=0;
        C2=0;
        
        lamb = sym('lamb') ;

        ngas= 1 + pgas/101325.* (   (A1 ./ (A2-(lamb.*1e6).^-2) ) + (B1 ./ (B2-(lamb.*1e6).^-2) ) + (C1 ./ (C2-(lamb.*1e6).^-2)  )); %ARGON
        
        epsi= n_g.^2 ./ ngas.^2;
        k_0= 2*pi./(lamb);
        phi = k_0*t* sqrt(n_g.^2-ngas.^2) ;
        A=a./( 2.*ngas .*(k_0.*rc).^2);
        B=a./ ( ngas.^2 .*(k_0.*rc).^3  );
        C = epsi;
        D = 0.5 .* (C+1) ./ sqrt(C-1);
        
        nef= ngas - A - B.*D.*cot(phi);
        
        
        dn = diff(nef,lamb);
        dn2 = diff(dn,lamb);
        dn3 = diff(dn2,lamb);
        
        
        beta2=lamb.^3.*dn2./(2*pi*c.^2);
        beta3=-lamb.^4./(2*pi*c).^2 .*(3.*dn2./c + lamb.*dn3./c);
        lambb=linspace(800,1200,nbr).*1e-9;
        

        tic
        h=waitbar(0, ['Number of point computed :' num2str(0) '/' num2str(nbr)]);
            for i=1:length(lambb)
%             close (h)
                GVD(i)=double(subs(beta2,lambb(i)));
                TOD(i)=double(subs(beta3,lambb(i)));
                   NEFF(i)=double(subs(nef,lambb(i)));
                waitbar(i./length(lambb),h,['Number of point computed :' num2str(i) '/' num2str(nbr)])
                hold on
            end
       figure
         plot(lambb.*1e9,GVD.*1e30)
         title('GVD [fs²/m]')
         xlabel('Wavelength (nm)')
         ylabel('GVD (fs²/m)')

        figure, plot(lambb.*1e9,TOD.*1e45)
                 title('TOD [fs^{3}/m]')
                  xlabel('Wavelength (nm)')
         ylabel('TOD (fs^{3}/m)')

         toc
      
         ALLDATA(:,1)=lambb.*1e9;
         ALLDATA(:,2)=NEFF;
         ALLDATA(:,3)=GVD.*1e30;
         ALLDATA(:,4)=TOD.*1e45;
        
        text= {'Lambda (nm)','Neff','GVD (fs²/m)','TOD (fs^{3}/m'};
        ALLDATA2=[text ; num2cell(ALLDATA)];
        Filename=datestr(now,'mmmm-dd-yyyy HH-MM');
        Filename= ['R=' num2str(edi2) 'µm-t=' num2str(edi1) 'nm-' num2str(edi10) 'bar-' gas ];

          writecell(ALLDATA2, [Filename '.txt'])
    
    end


end

Answer 1

[Walter Roberson]

You do not need to compile the symbolic toolbox for your purpose, as the form of your computation never changes, just the values to be used. See

https://www.mathworks.com/matlabcentral/answers/352595-how-to-solve-the-error-says-the-function-sym-is-not-supported-for-standalone-when-i-convert#answer_277846

[MartinM]

very elegant trick!!