Arithmetic evaluation
Arithmetic evaluation
You are encouraged to solve this task according to the task description, using any language you may know.
You are encouraged to solve this task according to the task description, using any language you may know.
A program which parsers and evaluates arithmetic expressions. Requirements: an AST for the expression must be created from parsing the input, the AST must be used in evaluation also, so no calling eval or similar if the language has such a thing. The expression will be a string of list of symbols like "(1+3)*7". + - * / as binary operators must be supported including precedence levels, as well as paranthesis.
Prolog
% Lexer numeric(X) :- 48 =< X, X =< 57. not_numeric(X) :- 48 > X ; X > 57. lex1([], []). lex1([40|Xs], ['('|Ys]) :- lex1(Xs, Ys). lex1([41|Xs], [')'|Ys]) :- lex1(Xs, Ys). lex1([43|Xs], ['+'|Ys]) :- lex1(Xs, Ys). lex1([45|Xs], ['-'|Ys]) :- lex1(Xs, Ys). lex1([42|Xs], ['*'|Ys]) :- lex1(Xs, Ys). lex1([47|Xs], ['/'|Ys]) :- lex1(Xs, Ys). lex1([X|Xs], [N|Ys]) :- numeric(X), N is X - 48, lex1(Xs, Ys). lex2([], []). lex2([X], [X]). lex2([Xa,Xb|Xs], [Xa|Ys]) :- atom(Xa), lex2([Xb|Xs], Ys). lex2([Xa,Xb|Xs], [Xa|Ys]) :- number(Xa), atom(Xb), lex2([Xb|Xs], Ys). lex2([Xa,Xb|Xs], [Y|Ys]) :- number(Xa), number(Xb), N is Xa * 10 + Xb, lex2([N|Xs], [Y|Ys]). % Parser oper(1, *, X, Y, X * Y). oper(1, /, X, Y, X / Y). oper(2, +, X, Y, X + Y). oper(2, -, X, Y, X - Y). num(D) --> [D], {number(D)}. expr(0, Z) --> num(Z). expr(0, Z) --> {Z = (X)}, ['('], expr(2, X), [')']. expr(N, Z) --> {succ(N0, N)}, {oper(N, Op, X, Y, Z)}, expr(N0, X), [Op], expr(N, Y). expr(N, Z) --> {succ(N0, N)}, expr(N0, Z). parse(Tokens, Expr) :- expr(2, Expr, Tokens, []). % Evaluator evaluate(E, E) :- number(E). evaluate(A + B, E) :- evaluate(A, Ae), evaluate(B, Be), E is Ae + Be. evaluate(A - B, E) :- evaluate(A, Ae), evaluate(B, Be), E is Ae - Be. evaluate(A * B, E) :- evaluate(A, Ae), evaluate(B, Be), E is Ae * Be. evaluate(A / B, E) :- evaluate(A, Ae), evaluate(B, Be), E is Ae / Be. % Solution calculator(String, Value) :- lex1(String, Tokens1), lex2(Tokens1, Tokens2), parse(Tokens2, Expression), evaluate(Expression, Value). % Example use % calculator("(3+50)*7-9", X).