Is it possible to open a worksheet in excel from matlab and edit the formulas? The idea is to automate an uncertainty analysis by creating a second sheet with the uncertainty in each cell for the value from the previous cell. Essentially, I want to treat the cells as variables and do SQRT(SUM(Partials(xi)^2)) for each cell. Matlab should have no problem with the calc, but can it edit the formulas in sheets?
The process currently is to copy and paste from excel to matlab. Here's a small function that does the uncertainty in matlab against on array of equations:
function [f_u_total f_u] = uncertAnalysis(f, vars, vars_u)
f_u = [];
f_u_total = [];
for(i=1:length(f))
f(i)
item = uncertAnalysisi(f(i), vars, vars_u);
f_u = [f_u; item(1)];
f_u_total = [f_u_total; item(1)];
end
end
function [f_u_total f_u] = uncertAnalysisi(f, vars, vars_u)
f_u = [];
% take the partials and square them
for i=1:length(vars)
f_u = [f_u; vars(i) (diff(f, vars(i)).*vars_u(i)).^2];
end
% calculate the RSS
f_u_total = (sum(f_u(:,2))).^.5;
end
As an aside, the equations look something like this (why I'm not doing this by hand):
=(9*C!S3^2/C!V3^4*C!W3*(C!O3-
C!P3)/C!X3*C!Q3^6*C!F3^4/C!Y3^6/(C!U3^C!Z3)^6*F3^2+1/4*C!S3^2/C!V3^4*C!W3/(C!O3-
C!P3)/C!X3*C!Q3^6*C!F3^6/C!Y3^6/(C!U3^C!Z3)^6*O3^2+1/4*C!S3^2/C!V3^4*C!W3/(C!O3-
C!P3)/C!X3*C!Q3^6*C!F3^6/C!Y3^6/(C!U3^C!Z3)^6*P3^2+9*C!S3^2/C!V3^4*C!W3*(C!O3-
C!P3)/C!X3*C!Q3^4*C!F3^6/C!Y3^6/(C!U3^C!Z3)^6*Q3^2+1/C!V3^4*C!W3*(C!O3-
C!P3)/C!X3*C!Q3^6*C!F3^6/C!Y3^6/(C!U3^C!Z3)^6*S3^2+9*C!S3^2/C!V3^4*C!W3*(C!O3-
C!P3)/C!X3*C!Q3^6*C!F3^6/C!Y3^6/(C!U3^C!Z3)^6*C!Z3^2/C!U3^2*U3^2+4*C!S3^2/C!V3^6*C!W3*(C!O
3-C!P3)/C!X3*C!Q3^6*C!F3^6/C!Y3^6/(C!U3^C!Z3)^6*V3^2+1/4*C!S3^2/C!V3^4/C!W3*(C!O3-
C!P3)/C!X3*C!Q3^6*C!F3^6/C!Y3^6/(C!U3^C!Z3)^6*W3^2+1/4*C!S3^2/C!V3^4*C!W3*(C!O3-
C!P3)/C!X3^3*C!Q3^6*C!F3^6/C!Y3^6/(C!U3^C!Z3)^6*X3^2+9*C!S3^2/C!V3^4*C!W3*(C!O3-
C!P3)/C!X3*C!Q3^6*C!F3^6/C!Y3^8/(C!U3^C!Z3)^6*Y3^2+9*C!S3^2/C!V3^4*C!W3*(C!O3-
C!P3)/C!X3*C!Q3^6*C!F3^6/C!Y3^6/(C!U3^C!Z3)^6*LOG(C!U3)^2*Z3^2)^(1/2)