Add Functions

[n-arms]

Description

Functions would be defined: <SYM>[<VAR>] = <EXPRESSIONSYNTAX> And called <SYM>[<EXPRESSIONSYNTAX>]:

• f[x] = 3, f[1]-> 3
• g[x] = x^2, f[3] -> 9
• exp[x] = 1+x+(x^2)/2+(x^3)/6+(x^4)/24, exp[1]-> 2.71828

Implementation

Add Tokens for left and right square brackets, add a static string-lambda hash-map on ExpressionSyntax, use similar to code Paren syntax. Functions should only be evaluated if their contents can be evaluated.

Potential Issues

• Can easily be mistaken for implicit multiplication (#6 )
• Some trees may wish to share the same functional environment (the same hash-map), but others may not. It might be worth it to find a better place to store the function definitions. Additionally, if they are in a different class they can't be private, allowing outside access.