Please assist to resolve "magaa and mag2a" codes problems; probably FUN and fsolve, not properly sets. The mag2 has to generate 12 (Qy-variable) questions by for-end. Thanks

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Eng. FM
Eng. FM on 26 Apr 2024
Commented: Eng. FM on 27 Apr 2024
I have two file execution files, MAGa is main and mag2a is responsible for produce and generate 12 non-linear equations, and probably could goes to 100. The MAGa file has to call mag2a and produce the output in table format. I have failed to known what is main problem, include set up FUN in mag2 file and solver (non-linear) I has proposed. See the attached files and executed output; appreciate your assistance
FILE MAGa and mag2a
MAGa
function [Qy, FUN] = MAGa(Qy0)
tic, n=12; pipes=n; dia=n; LP=4; cCc=7; HLD=-0; ee=0.04; vs=1.00001*10^-6; format shortEng
D=[1.120, 0.059, 0.019, 0.033, 0.060, 0.052, 0.023, 0.029, 0.017, 0.018, 0.058, 0.150]; L=[50, 50, 40, 50, 40, 50, 60, 60, 50, 50, 60, 40];
FUN = @mag2a; %
options = optimoptions('fsolve','Display','iter',MaxIterations=10000000, MaxFunctionEvaluations=10000000, Algorithm='levenberg-marquardt');
% Qy0(1:12,1)=0.30;
[Qy]=fsolve(FUN, Qy0, options);
Len=L(1,:)'; Dia=D(1,:)'; vel=4*Qy(:,1)./(3.14.*Dia(:,1).^2); Re=4.*Qy(:,1)./(3.14*vs.*Dia(:,1));
fy11=-2*log10(ee./(3.7.*Dia(:,1))+2.51*3.14*vs.*Dia(:,1)./(4.*Qy(:,1)*0.0001.^0.5)); fy1=-2*log10(ee./(3.7.*Dia(:,1))+2.51*3.14*vs.*Dia(:,1)./(4.*Qy(:,1)).*fy11.^0.5); fy=-2*log10(ee./(3.7.*Dia(:,1))+2.51*3.14*vs.*Dia(:,1)./(4.*Qy(:,1)).*fy1.^0.5); f=-2*log10(ee./(3.7.*Dia(:,1))+2.51*3.14*vs.*Dia(:,1)./(4.*Qy(:,1)).*fy.^0.5); ff=(1./f).^2;
Data1=zeros(n,cCc); Data1(:,1)=Len(:,1); Data1(:,2)=Dia(:,1); Data1(:,3)=Qy(:,1); Data1(:,4)=vel(:,1); Data1(:,5)=ff(:,1); Data1(:,6)=Re(:,1); % Data1,
StrNum={'string','double','double','double','double','double','double','double'}; subTitl={'Pipes [x-z]', 'Length [m]', 'Diameter [m]', 'Flow rate [m3/s]', 'Velocity [m/s]', 'Friction, f', 'Reynold No.', 'Headlosses [m]'}; %
tz=table('size', [n, cCc+1], 'variabletypes',StrNum, 'variablenames', subTitl); Pipexz=["1P(N1-N2)","2P(N1-N2)","3P(N1-N2)","4P(N1-N2)","5P(N1-N2)","6P(N1-N2)","7P(N1-N2)","8P(N1-N2)","9P(N1-N2)","10P(N1-N2)","11P(N1-N2)","12P(N1-N2)"];
tz{:,1}=Pipexz'; tz{:,2:cCc+1}=Data1(:,1:cCc), toc % MIDsrt=sortrows(tz,sn); MIDfn=MIDsrt; MIDfn(:,end)=[ ];
end
mag2a
function [FUN] = mag2a(D,L,LP,n,ee,vs,matr,HLD)
matr=[1,0,0,0,1,-1,0,0,0,0,0,-1; 0,1,1,-1,-1,0,0,0,0,0,0,0; 0,0,0,1,0,0,1,-1,-1,0,0,0; 0,0,0,0,0,1,0,1,0,-1,-1,0]; LP=4; n=12;
fprintf('FUN=@(Qy)[');
for j=1:LP, j;
if (j<=4-0)
for k=1:n, k;
if sum(matr(j,1:k))~=sum(matr(j,:))&&matr(j,k)~=0 fprintf('%d*(Qy(%d)*abs(Qy(%d)*8*L(1,%d)*1./(9.81*3.14.^2*D(1,%d).^5)*(-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*((-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*((-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+...\n',matr(j,k),k,k,k,k,k,k,k,k,k,k,k,k,k), end
if sum(matr(j,1:k))==sum(matr(j,:))&&matr(j,k)~=0 fprintf('%d*(Qy(%d)*abs(Qy(%d)*8*L(1,%d)*1./(9.81*3.14.^2*D(1,%d).^5)*(-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*((-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*((-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2;\n',matr(j,k),k,k,k,k,k,k,k,k,k,k,k,k,k),
end, end, end
end
fprintf('Qy(1)-Qy(2)-Qy(5)-0.03; Qy(2)-Qy(3)-0.04; Qy(3)+Qy(4)-Qy(7)-0.03; Qy(6)+Qy(5)-Qy(4)-Qy(8)-0.05; Qy(7)+Qy(9)-0.04; Qy(8)+Qy(10)-Qy(9)-0.03; Qy(11)-Qy(10)-0.04; Qy(12)-Qy(6)-Qy(11)-0.04];\n'); % 1/(Qy(7)).^0.5+4*log(ee./(3.7*D(1,1))+2.54*3.14*D(1,1)*vs./(4*Qy(1)*(Qy(7)).^0.5));...
end
OUTPUT OF EXECUTION (OUTPUTS)
Qy0(1:12,1)=0.30; MAGa(Qy0)
FUN=@(Qy)[1*(Qy(1)*abs(Qy(1)*8*L(1,1)*1./(9.81*3.14.^2*D(1,1).^5)*(-2*log10(ee./(3.7.*D(1,1))+2.51*3.14*vs.*D(1,1)./(4.*Qy(1,1)*((-2*log10(ee./(3.7.*D(1,1))+2.51*3.14*vs.*D(1,1)./(4.*Qy(1,1)*((-2*log10(ee./(3.7.*D(1,1))+2.51*3.14*vs.*D(1,1)./(4.*Qy(1,1)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+...
1*(Qy(5)*abs(Qy(5)*8*L(1,5)*1./(9.81*3.14.^2*D(1,5).^5)*(-2*log10(ee./(3.7.*D(1,5))+2.51*3.14*vs.*D(1,5)./(4.*Qy(1,5)*((-2*log10(ee./(3.7.*D(1,5))+2.51*3.14*vs.*D(1,5)./(4.*Qy(1,5)*((-2*log10(ee./(3.7.*D(1,5))+2.51*3.14*vs.*D(1,5)./(4.*Qy(1,5)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+...
-1*(Qy(6)*abs(Qy(6)*8*L(1,6)*1./(9.81*3.14.^2*D(1,6).^5)*(-2*log10(ee./(3.7.*D(1,6))+2.51*3.14*vs.*D(1,6)./(4.*Qy(1,6)*((-2*log10(ee./(3.7.*D(1,6))+2.51*3.14*vs.*D(1,6)./(4.*Qy(1,6)*((-2*log10(ee./(3.7.*D(1,6))+2.51*3.14*vs.*D(1,6)./(4.*Qy(1,6)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+...
-1*(Qy(12)*abs(Qy(12)*8*L(1,12)*1./(9.81*3.14.^2*D(1,12).^5)*(-2*log10(ee./(3.7.*D(1,12))+2.51*3.14*vs.*D(1,12)./(4.*Qy(1,12)*((-2*log10(ee./(3.7.*D(1,12))+2.51*3.14*vs.*D(1,12)./(4.*Qy(1,12)*((-2*log10(ee./(3.7.*D(1,12))+2.51*3.14*vs.*D(1,12)./(4.*Qy(1,12)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2;
1*(Qy(2)*abs(Qy(2)*8*L(1,2)*1./(9.81*3.14.^2*D(1,2).^5)*(-2*log10(ee./(3.7.*D(1,2))+2.51*3.14*vs.*D(1,2)./(4.*Qy(1,2)*((-2*log10(ee./(3.7.*D(1,2))+2.51*3.14*vs.*D(1,2)./(4.*Qy(1,2)*((-2*log10(ee./(3.7.*D(1,2))+2.51*3.14*vs.*D(1,2)./(4.*Qy(1,2)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+...
1*(Qy(3)*abs(Qy(3)*8*L(1,3)*1./(9.81*3.14.^2*D(1,3).^5)*(-2*log10(ee./(3.7.*D(1,3))+2.51*3.14*vs.*D(1,3)./(4.*Qy(1,3)*((-2*log10(ee./(3.7.*D(1,3))+2.51*3.14*vs.*D(1,3)./(4.*Qy(1,3)*((-2*log10(ee./(3.7.*D(1,3))+2.51*3.14*vs.*D(1,3)./(4.*Qy(1,3)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+...
-1*(Qy(4)*abs(Qy(4)*8*L(1,4)*1./(9.81*3.14.^2*D(1,4).^5)*(-2*log10(ee./(3.7.*D(1,4))+2.51*3.14*vs.*D(1,4)./(4.*Qy(1,4)*((-2*log10(ee./(3.7.*D(1,4))+2.51*3.14*vs.*D(1,4)./(4.*Qy(1,4)*((-2*log10(ee./(3.7.*D(1,4))+2.51*3.14*vs.*D(1,4)./(4.*Qy(1,4)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+...
-1*(Qy(5)*abs(Qy(5)*8*L(1,5)*1./(9.81*3.14.^2*D(1,5).^5)*(-2*log10(ee./(3.7.*D(1,5))+2.51*3.14*vs.*D(1,5)./(4.*Qy(1,5)*((-2*log10(ee./(3.7.*D(1,5))+2.51*3.14*vs.*D(1,5)./(4.*Qy(1,5)*((-2*log10(ee./(3.7.*D(1,5))+2.51*3.14*vs.*D(1,5)./(4.*Qy(1,5)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2;
1*(Qy(4)*abs(Qy(4)*8*L(1,4)*1./(9.81*3.14.^2*D(1,4).^5)*(-2*log10(ee./(3.7.*D(1,4))+2.51*3.14*vs.*D(1,4)./(4.*Qy(1,4)*((-2*log10(ee./(3.7.*D(1,4))+2.51*3.14*vs.*D(1,4)./(4.*Qy(1,4)*((-2*log10(ee./(3.7.*D(1,4))+2.51*3.14*vs.*D(1,4)./(4.*Qy(1,4)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+...
1*(Qy(7)*abs(Qy(7)*8*L(1,7)*1./(9.81*3.14.^2*D(1,7).^5)*(-2*log10(ee./(3.7.*D(1,7))+2.51*3.14*vs.*D(1,7)./(4.*Qy(1,7)*((-2*log10(ee./(3.7.*D(1,7))+2.51*3.14*vs.*D(1,7)./(4.*Qy(1,7)*((-2*log10(ee./(3.7.*D(1,7))+2.51*3.14*vs.*D(1,7)./(4.*Qy(1,7)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+...
-1*(Qy(8)*abs(Qy(8)*8*L(1,8)*1./(9.81*3.14.^2*D(1,8).^5)*(-2*log10(ee./(3.7.*D(1,8))+2.51*3.14*vs.*D(1,8)./(4.*Qy(1,8)*((-2*log10(ee./(3.7.*D(1,8))+2.51*3.14*vs.*D(1,8)./(4.*Qy(1,8)*((-2*log10(ee./(3.7.*D(1,8))+2.51*3.14*vs.*D(1,8)./(4.*Qy(1,8)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+...
-1*(Qy(9)*abs(Qy(9)*8*L(1,9)*1./(9.81*3.14.^2*D(1,9).^5)*(-2*log10(ee./(3.7.*D(1,9))+2.51*3.14*vs.*D(1,9)./(4.*Qy(1,9)*((-2*log10(ee./(3.7.*D(1,9))+2.51*3.14*vs.*D(1,9)./(4.*Qy(1,9)*((-2*log10(ee./(3.7.*D(1,9))+2.51*3.14*vs.*D(1,9)./(4.*Qy(1,9)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2;
1*(Qy(6)*abs(Qy(6)*8*L(1,6)*1./(9.81*3.14.^2*D(1,6).^5)*(-2*log10(ee./(3.7.*D(1,6))+2.51*3.14*vs.*D(1,6)./(4.*Qy(1,6)*((-2*log10(ee./(3.7.*D(1,6))+2.51*3.14*vs.*D(1,6)./(4.*Qy(1,6)*((-2*log10(ee./(3.7.*D(1,6))+2.51*3.14*vs.*D(1,6)./(4.*Qy(1,6)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+...
1*(Qy(8)*abs(Qy(8)*8*L(1,8)*1./(9.81*3.14.^2*D(1,8).^5)*(-2*log10(ee./(3.7.*D(1,8))+2.51*3.14*vs.*D(1,8)./(4.*Qy(1,8)*((-2*log10(ee./(3.7.*D(1,8))+2.51*3.14*vs.*D(1,8)./(4.*Qy(1,8)*((-2*log10(ee./(3.7.*D(1,8))+2.51*3.14*vs.*D(1,8)./(4.*Qy(1,8)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+...
-1*(Qy(10)*abs(Qy(10)*8*L(1,10)*1./(9.81*3.14.^2*D(1,10).^5)*(-2*log10(ee./(3.7.*D(1,10))+2.51*3.14*vs.*D(1,10)./(4.*Qy(1,10)*((-2*log10(ee./(3.7.*D(1,10))+2.51*3.14*vs.*D(1,10)./(4.*Qy(1,10)*((-2*log10(ee./(3.7.*D(1,10))+2.51*3.14*vs.*D(1,10)./(4.*Qy(1,10)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+...
-1*(Qy(11)*abs(Qy(11)*8*L(1,11)*1./(9.81*3.14.^2*D(1,11).^5)*(-2*log10(ee./(3.7.*D(1,11))+2.51*3.14*vs.*D(1,11)./(4.*Qy(1,11)*((-2*log10(ee./(3.7.*D(1,11))+2.51*3.14*vs.*D(1,11)./(4.*Qy(1,11)*((-2*log10(ee./(3.7.*D(1,11))+2.51*3.14*vs.*D(1,11)./(4.*Qy(1,11)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2;
Qy(1)-Qy(2)-Qy(5)-0.03; Qy(2)-Qy(3)-0.04; Qy(3)+Qy(4)-Qy(7)-0.03; Qy(6)+Qy(5)-Qy(4)-Qy(8)-0.05; Qy(7)+Qy(9)-0.04; Qy(8)+Qy(10)-Qy(9)-0.03; Qy(11)-Qy(10)-0.04; Qy(12)-Qy(6)-Qy(11)-0.04];
Output argument "FUN" (and possibly others) not assigned a value in the execution with "mag2a" function.
Error in fsolve (line 270)
fuser = feval(funfcn{3},x,varargin{:});
Error in MAGa (line 8)
[Qy]=fsolve(FUN, Qy0, options);
Caused by:
Failure in initial objective function evaluation. FSOLVE cannot continue.
>>

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Accepted Answer

Walter Roberson
Walter Roberson on 26 Apr 2024
Edited: Walter Roberson on 26 Apr 2024
function [Qy, FUN] = MAGa(Qy0)
tic, n=12; pipes=n; dia=n; LP=4; cCc=7; HLD=-0; ee=0.04; vs=1.00001*10^-6; format shortEng
D=[1.120, 0.059, 0.019, 0.033, 0.060, 0.052, 0.023, 0.029, 0.017, 0.018, 0.058, 0.150]; L=[50, 50, 40, 50, 40, 50, 60, 60, 50, 50, 60, 40];
FUN = '';
eval(mag2a(D,L,LP,n,ee,vs,matr,HLD)); %assigns to FUN
options = optimoptions('fsolve','Display','iter',MaxIterations=10000000, MaxFunctionEvaluations=10000000, Algorithm='levenberg-marquardt');
% Qy0(1:12,1)=0.30;
[Qy]=fsolve(FUN, Qy0, options);
Len=L(1,:)'; Dia=D(1,:)'; vel=4*Qy(:,1)./(3.14.*Dia(:,1).^2); Re=4.*Qy(:,1)./(3.14*vs.*Dia(:,1));
fy11=-2*log10(ee./(3.7.*Dia(:,1))+2.51*3.14*vs.*Dia(:,1)./(4.*Qy(:,1)*0.0001.^0.5)); fy1=-2*log10(ee./(3.7.*Dia(:,1))+2.51*3.14*vs.*Dia(:,1)./(4.*Qy(:,1)).*fy11.^0.5); fy=-2*log10(ee./(3.7.*Dia(:,1))+2.51*3.14*vs.*Dia(:,1)./(4.*Qy(:,1)).*fy1.^0.5); f=-2*log10(ee./(3.7.*Dia(:,1))+2.51*3.14*vs.*Dia(:,1)./(4.*Qy(:,1)).*fy.^0.5); ff=(1./f).^2;
Data1=zeros(n,cCc); Data1(:,1)=Len(:,1); Data1(:,2)=Dia(:,1); Data1(:,3)=Qy(:,1); Data1(:,4)=vel(:,1); Data1(:,5)=ff(:,1); Data1(:,6)=Re(:,1); % Data1,
StrNum={'string','double','double','double','double','double','double','double'}; subTitl={'Pipes [x-z]', 'Length [m]', 'Diameter [m]', 'Flow rate [m3/s]', 'Velocity [m/s]', 'Friction, f', 'Reynold No.', 'Headlosses [m]'}; %
tz=table('size', [n, cCc+1], 'variabletypes',StrNum, 'variablenames', subTitl); Pipexz=["1P(N1-N2)","2P(N1-N2)","3P(N1-N2)","4P(N1-N2)","5P(N1-N2)","6P(N1-N2)","7P(N1-N2)","8P(N1-N2)","9P(N1-N2)","10P(N1-N2)","11P(N1-N2)","12P(N1-N2)"];
tz{:,1}=Pipexz'; tz{:,2:cCc+1}=Data1(:,1:cCc), toc % MIDsrt=sortrows(tz,sn); MIDfn=MIDsrt; MIDfn(:,end)=[ ];
end
function [FUN] = mag2a(D,L,LP,n,ee,vs,matr,HLD)
matr=[1,0,0,0,1,-1,0,0,0,0,0,-1; 0,1,1,-1,-1,0,0,0,0,0,0,0; 0,0,0,1,0,0,1,-1,-1,0,0,0; 0,0,0,0,0,1,0,1,0,-1,-1,0]; LP=4; n=12;
FUN = 'FUN=@(Qy)[';
for j=1:LP;
if (j<=4-0)
for k=1:n, k;
if sum(matr(j,1:k))~=sum(matr(j,:))&&matr(j,k)~=0 FUN = [FUN, sprintf('%d*(Qy(%d)*abs(Qy(%d)*8*L(1,%d)*1./(9.81*3.14.^2*D(1,%d).^5)*(-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*((-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*((-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+',matr(j,k),k,k,k,k,k,k,k,k,k,k,k,k,k)]; end
if sum(matr(j,1:k))==sum(matr(j,:))&&matr(j,k)~=0 FUN = [FUN, sprintf('%d*(Qy(%d)*abs(Qy(%d)*8*L(1,%d)*1./(9.81*3.14.^2*D(1,%d).^5)*(-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*((-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*((-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2',matr(j,k),k,k,k,k,k,k,k,k,k,k,k,k,k)]; end
end
end
end
FUN = [FUN, 'Qy(1)-Qy(2)-Qy(5)-0.03; Qy(2)-Qy(3)-0.04; Qy(3)+Qy(4)-Qy(7)-0.03; Qy(6)+Qy(5)-Qy(4)-Qy(8)-0.05; Qy(7)+Qy(9)-0.04; Qy(8)+Qy(10)-Qy(9)-0.03; Qy(11)-Qy(10)-0.04; Qy(12)-Qy(6)-Qy(11)-0.04];']; % 1/(Qy(7)).^0.5+4*log(ee./(3.7*D(1,1))+2.54*3.14*D(1,1)*vs./(4*Qy(1)*(Qy(7)).^0.5));...
end
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Walter Roberson
Walter Roberson on 26 Apr 2024
if sum(matr(j,1:k))~=sum(matr(j,:))&&matr(j,k)~=0 FUN = [FUN, sprintf('%d*(Qy(%d)*abs(Qy(%d)*8*L(1,%d)*1./(9.81*3.14.^2*D(1,%d).^5)*(-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*((-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*((-2*log10(ee./(3.7.*D(1,%d))+2.51*3.14*vs.*D(1,%d)./(4.*Qy(1,%d)*(0.0001).^0.5)))).^0.5)))).^0.5))).^-2+',matr(j,k),k,k,k,k,k,k,k,k,k,k,k,k,k)]; end
% 1 2 1 2 3 2 3 2 3 4 3 2 3 4 5 6 54 5 4 5 6 5 67 8 9 A 98 9 8 9 A 9 AB C D E DC D C D E D E D CBA9 8765 432
Your format has two more ( than )
Eng. FM
Eng. FM on 27 Apr 2024
Woo,
You have provided to me unforgotable remark to my analytical task; the complex analysis, I have got new chapter. Be blessed too, Mr Walter.
Probably in few months to come, I will extend the model to handle hundred to thousand nodes and pipes with multiple sources etc
Once again, thanks

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