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Home/ Questions/Q 8322573
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Editorial Team
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Editorial Team
Asked: June 8, 20262026-06-08T23:26:08+00:00 2026-06-08T23:26:08+00:00

I have a question about Parsing Trees: I have a string (math expresion estring),

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I have a question about Parsing Trees:

I have a string (math expresion estring), for example: (a+b)*c-(d-e)*f/g. I have to parse that expression in a Tree:

class Exp{};
class Term: public Exp{
    int n_;
}

class Node: Public Exp{
    Exp* loperator_;
    Exp* roperator_;
    char operation; // +, -, *, /
}

What algorithm can I use to build a tree which represents the expresion string above?

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  1. Editorial Team
    Editorial Team
    2026-06-08T23:26:09+00:00Added an answer on June 8, 2026 at 11:26 pm

    Use the Shunting-yard algorithm. The wikipedia description is quite comprehensive, I hope it will suffice.

    You can also try to write a formal grammar, for example a parsing-expression grammar, and use a tool to generate a parser. This site about PEGs lists 3 C/C++ libraries for PEG parsing.

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