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Calculating of multivariate symbolic expression with numeric data

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Elad 2012-3-15

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https://ww2.mathworks.cn/matlabcentral/answers/32415-calculating-of-multivariate-symbolic-expression-with-numeric-data

采纳的回答： Walter Roberson

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HI

I need to calculate integral over a Multivariate function,

the function is a product of some 3x3 "analytic" matrices which can be easily calculated using symbolic math,

Here is a simple function which I need to calculate :

syms t p
R=[ cos(p) sin(p) 0
 -sin(p) cos(p) 0
  0 0 1];
 L1=[ cos(t)  0      sin(t)
      0      1       0
    -sin(t)  0      cos(t) ];
 e0=[1;1;1]
 F=inv(R)*inv(L1)*R*e0

the result :

 F =
 sin(p)^2 - cos(p)*sin(t) - cos(p)*sin(p) + cos(p)^2*cos(t) + cos(p)*cos(t)*sin(p)
 cos(p)^2 - sin(p)*sin(t) - cos(p)*sin(p) + cos(t)*sin(p)^2 + cos(p)*cos(t)*sin(p)
 cos(t) + cos(p)*sin(t) + sin(p)*sin(t)

After having the function what is the best way to calculate it over a set of numerical data for p,t (phi,theta) ??

10x

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采纳的回答

Walter Roberson 2012-3-16

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https://ww2.mathworks.cn/matlabcentral/answers/32415-calculating-of-multivariate-symbolic-expression-with-numeric-data#answer_40977

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Fnum = matlabFunction(F, p, t);

This would create a MATLAB function that had p as its first argument and t as its second argument and which returned an array of numeric values.

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Alexander 2012-3-16

Try:

Fnum = matlabFunction(R, 'vars', [p, t]);

Elad 2012-3-16

Thank u both, The last line gives the solution.

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