I need to generate random functions. For example, if I have a function set F={sin, cos} and a variable set V={x, y}, I should be able to produce functions like following:
f_1(x,y)=sin(x)f_2(x,y)=cos(y)f_3(x,y)=sin(x) + cos(y)f_4(x,y)=sin(x**2)-3xcos(xy)What would I need to use (Data structure, algorithm etc.)? I'm open to your ideas and advice.
Consider your set of functions, possible variable name (e.g. 'x', 'y') and operators +, -, *, **, (,) etc. as an alphabet. Construct a grammar for the valid expressions. Construct a corresponding state machine that produces sentences of your expression language on transition sequences from start node to end node. Implement the state machine to follow a random branch at each node. Voila ...
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