How to increase speed of this code

clc,clear,close all
format short
syms AX0 
     
  
e=0.2;
OM=[1:100:20000];
      ET=sqrt(-1);
      A11 = 17.8*10^10;
      A33 = 18.43*10^10;
      A13 = 7.59*10^10;
      %A56 = 1.89*10^10;
      A55 = 4.357*10^10;
      %A66 = 4.42*10^10;
      A56=A55;
      A66=A55;
     
      AL15 = 37;
      AL33 = 1.33;
      AL31 = 12;
      AL35 = 0.23;
     
      GM11= 85.2;
      GM33= 28.7;
          
      RO=1.74*10^3;    
      
      NON=RO*(e^2).*(OM.^2);
      NA55=A55-NON;
      NA33=A33-NON;
      NA11=A11-NON;
      NA66=A66-NON;
      AP2=NA11./NA55;
      AP3=A33./NA55;
      AP4=NA66./NA33;
      AP44=A33./NA33;      
      AP24=(A13+A56);
      AP25=AL15+AL31;
      
      B1OKS=AP2-AP3*AX0;
      B2OKS=AP4-AP44*AX0;
      B3OKS=GM11/(AL33*AL33-GM33);
      
      B1OK=sqrt(B1OKS);
      B2OK=sqrt(B2OKS);
      B3OK=sqrt(B3OKS);
      
    
      
    APT1=AL15-AL33.*B1OKS; 
    APT2=AL15-AL33.*B2OKS;  
    APT3=AL15-AL33.*B3OKS;  
    
    AZT1=ET*AP25*B1OK./APT1;
    AZT2=ET*AP25*B2OK./APT2;
    AZT3=ET*AP25*B3OK./APT3;
      
    AXT1=AP24.*AZT1./AP25;
    AXT2=AP24.*AZT2./AP25;
    AXT3=AP24.*AZT3./AP25;
 
      A1=ET*A13-B1OK.*AZT1*A33-ET*AXT1*AL35+B1OK.*AXT1*AL33;
      A2=ET*A13-B2OK.*AZT2*A33-ET*AXT2*AL35+B2OK.*AXT2*AL33;
      A3=ET*A13-B3OK.*AZT3*A33-ET*AXT3*AL35+B3OK.*AXT3*AL33;
      
      
      B1=ET*AZT1*A56-B1OK*A55-ET*AL31*AXT1+B1OK.*AXT1*AL35;
      B2=ET*AZT2*A56-B2OK*A55-ET*AL31*AXT2+B2OK.*AXT2*AL35;
      B3=ET*AZT3*A56-B3OK*A55-ET*AL31*AXT3+B3OK.*AXT3*AL35;
      
%    CHARGE FREE
      C1=ET*AL15-B1OK.*AZT1*AL33-B1OK.*AXT1*GM33;
      C2=ET*AL15-B2OK.*AZT2*AL33-B2OK.*AXT2*GM33;
      C3=ET*AL15-B3OK.*AZT3*AL33-B3OK.*AXT3*GM33;
      

   
    
 AU= A1.*B2.*C3-A1.*B3.*C2-A2.*B1.*C3+A2.*B3.*C1+A3.*B1.*C2-A3.*B2.*C1;
  
 W =[];
 for i=1:numel(OM)
   AUU=AU(:,i);
   r= double(solve(AUU==0,AX0));
  r1=(sqrt((A33*r)./RO));
   W = [W,r1]; 
 end

SP1=W(1,:);
SP2=W(2,:);
SP3=W(3,:);
SP4=W(4,:);

How I increase speed of runing of above code. It takes long time to run .

Answer 1

[Yongjian Feng]

Hello Asha,

matlab provides profile for this purpose. (https://www.mathworks.com/help/matlab/ref/profile.html).

Try it please.

Thanks,

Yongjian

[ASHA RANI]

I have MATLAB2017b version. I also tried this but not able to understand where I will do changes to increase speed.

Answer 2

[Heran Wang]

I recommend the higher version of MATLAB.

The higher the vesion is, the faster the caculation will be.

For example, the MATLAB 2021a will two times faster than MATLAB 2017b.

Try it ~

Answer 3

[VBBV]

@ASHA RANI one way to speed up code is increase the step size or increment in the OM array. The variables used in the equations to solve them also contain big numbers which can consume more memory during execution. You could also vectorize the for loop if needed.

clc,clear,close all
format short
tic
syms AX0 
     
  
e=0.2;
OM=[1:500:20000];  % change the step or increment in this array
    %^^^^
      ET=sqrt(-1);
      A11 = 17.8*10^10;
      A33 = 18.43*10^10;
      A13 = 7.59*10^10;
      %A56 = 1.89*10^10;
      A55 = 4.357*10^10;
      %A66 = 4.42*10^10;
      A56=A55;
      A66=A55;
     
      AL15 = 37;
      AL33 = 1.33;
      AL31 = 12;
      AL35 = 0.23;
     
      GM11= 85.2;
      GM33= 28.7;
          
      RO=1.74*10^3;    
      
      NON=RO*(e^2).*(OM.^2);
      NA55=A55-NON;
      NA33=A33-NON;
      NA11=A11-NON;
      NA66=A66-NON;
      AP2=NA11./NA55;
      AP3=A33./NA55;
      AP4=NA66./NA33;
      AP44=A33./NA33;      
      AP24=(A13+A56);
      AP25=AL15+AL31;
      
      B1OKS=AP2-AP3*AX0;
      B2OKS=AP4-AP44*AX0;
      B3OKS=GM11/(AL33*AL33-GM33);
      
      B1OK=sqrt(B1OKS);
      B2OK=sqrt(B2OKS);
      B3OK=sqrt(B3OKS);
      
    
      
    APT1=AL15-AL33.*B1OKS; 
    APT2=AL15-AL33.*B2OKS;  
    APT3=AL15-AL33.*B3OKS;  
    
    AZT1=ET*AP25*B1OK./APT1;
    AZT2=ET*AP25*B2OK./APT2;
    AZT3=ET*AP25*B3OK./APT3;
      
    AXT1=AP24.*AZT1./AP25;
    AXT2=AP24.*AZT2./AP25;
    AXT3=AP24.*AZT3./AP25;
 
      A1=ET*A13-B1OK.*AZT1*A33-ET*AXT1*AL35+B1OK.*AXT1*AL33;
      A2=ET*A13-B2OK.*AZT2*A33-ET*AXT2*AL35+B2OK.*AXT2*AL33;
      A3=ET*A13-B3OK.*AZT3*A33-ET*AXT3*AL35+B3OK.*AXT3*AL33;
      
      
      B1=ET*AZT1*A56-B1OK*A55-ET*AL31*AXT1+B1OK.*AXT1*AL35;
      B2=ET*AZT2*A56-B2OK*A55-ET*AL31*AXT2+B2OK.*AXT2*AL35;
      B3=ET*AZT3*A56-B3OK*A55-ET*AL31*AXT3+B3OK.*AXT3*AL35;
      
%    CHARGE FREE
      C1=ET*AL15-B1OK.*AZT1*AL33-B1OK.*AXT1*GM33;
      C2=ET*AL15-B2OK.*AZT2*AL33-B2OK.*AXT2*GM33;
      C3=ET*AL15-B3OK.*AZT3*AL33-B3OK.*AXT3*GM33;
      
 AU= A1.*B2.*C3-A1.*B3.*C2-A2.*B1.*C3+A2.*B3.*C1+A3.*B1.*C2-A3.*B2.*C1;
  
 W =[];
 
 for i=1:numel(OM)
   AUU=AU(:,i);
   r= double(solve(AUU==0,AX0));
  r1=(sqrt((A33*r)./RO));
   W = [W,r1]; 
 end

SP1=W(1,:);
SP2=W(2,:);
SP3=W(3,:);
SP4=W(4,:);
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