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Data struct:
- expression
- matrix
- complex
- polynomial
State Data struct:
- function
- variable
1. ( )
2. ^
3. * / % **
4. + -
expr ::= <term> (+ | -) <expr> | <term>
term ::= <factor> (* | / | % | **)? <term> | <factor> -- default to '*'
factor ::= <base> '^' <factor> | <base>
base ::= '(' <expr> ')' | ( <real> | <imag> | <matrix> )
imag ::= <expr> '*'? 'i'
real ::= [0-9]+
matrix ::= '[' (<line> ';')* ']'
line ::= '[' (<expr> ',')* ']'
func ::= [a-zA-Z]+ '(' <var> ')'
var ::= [a-zA-Z]+
endpoint ::= (<var> | <func>) '=' <expr>
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