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Is there any way to separate the terms of a product?

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Let's say I have this function_handle: f = @(x) exp(x-2)*log(x)
Is it possible to assign each function that comprises this product to its own seperate variable i.e:
g = exp()
h = x-2
j = log()
k = x
Thank you!


John D'Errico
John D'Errico on 17 Feb 2019
Sure. Write your own expression parsing code.
f = @(x) exp(x-2)*log(x);
>> func2str(f)
ans =
Panagiotis Panagopoulos Papageorgiou
Seeing my question once more, I believe that I've not been specific enough.
In my programme I ask the user to enter his own function. Once that is done I'd like to "break" that function into seperate parts, and then assign each part to it's own variable. So if I input this:
I want to get these variables:
g = exp(x)
h = x-2
j = log(x)
k = x
Thank you for your time and effort. :)

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Accepted Answer

Walter Roberson
Walter Roberson on 17 Feb 2019
If you have the Symbolic Toolbox, then
f = @(x) exp(x-2)*log(x)
syms x
temp = f(x);
op0 = feval(symengine, 'op', temp, 0)
rest = children(temp)
rest0 = arrayfun(@children, rest, 'uniform', 0)
and so on, taking op 0 and children each time. op 0 will be things like _mult and _plus for * and + (and subtraction -- subtraction is _plus of negative of the value).
With a little work, you could create a routine that broke expressions down into nested cell arrays or into nested struct.
This is not a nice interface, but it is all that is availabe in the symbolic toolbox in any released version.


Panagiotis Panagopoulos Papageorgiou
As far as I know, I do not own the Symbolic Toolbox, is there any alternative to this without any extensions?
Thank you :)
Edit: It looks like your code worked! Thank you!
I hae one more question though: I now get an array which consists of 2 elements: exp(x-2) and log(x). Is there any way to make another array which has those elements?: {exp(x) x-2 log(x)}
Thank you once again.
Walter Roberson
Walter Roberson on 18 Feb 2019
I attached code that produces a nested cell parse tree. You could modify it.
The current last line has {op0} which will produce the token such as exp . You would want to look at length(rest) and use that many nominal variables similar to the representative_vars that I introduce near the beginning of the code to convert simple @functionname into functionname(x, y, z, ...) expressions.

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