Parsing boolean expressions is a fundamental task in computer science. It involves converting a human-readable expression into a data structure that a computer can interpret.
One popular approach to parsing boolean expressions is using the Boost Spirit library. Spirit provides a powerful and flexible framework for defining and parsing grammars.
Here's a C implementation based on Spirit:
#include <boost/spirit/include/qi.hpp> #include <boost/variant/recursive_wrapper.hpp> using namespace boost::spirit; using namespace boost::spirit::qi; struct op_or {}; struct op_and {}; struct op_xor {}; typedef std::string var; template <typename tag> struct binop; template <typename tag> struct unop; typedef boost::variant<var, boost::recursive_wrapper<unop <op_not> >, boost::recursive_wrapper<binop<op_and> >, boost::recursive_wrapper<binop<op_xor> >, boost::recursive_wrapper<binop<op_or> > > expr; template <typename tag> struct binop { explicit binop(const expr& l, const expr& r) : oper1(l), oper2(r) { } expr oper1, oper2; }; template <typename tag> struct unop { explicit unop(const expr& o) : oper1(o) { } expr oper1; }; template <typename It, typename Skipper = qi::space_type> struct parser : qi::grammar<It, expr(), Skipper> { parser() : parser::base_type(expr_) { using namespace qi; expr_ = or_.alias(); not_ = ("not" > simple ) [ _val = phx::construct<unop <op_not> >(_1) ] | simple [ _val = _1 ]; or_ = (xor_ >> "or" >> or_ ) [ _val = phx::construct<binop<op_or> >(_1, _2) ] | xor_ [ _val = _1 ]; xor_ = (and_ >> "xor" >> xor_) [ _val = phx::construct<binop<op_xor> >(_1, _2) ] | and_ [ _val = _1 ]; and_ = (not_ >> "and" >> and_) [ _val = phx::construct<binop<op_and> >(_1, _2) ] | not_ [ _val = _1 ]; simple = (('(' > expr_ > ')') | var_); var_ = qi::lexeme[ +alpha ]; } private: qi::rule<It, var() , Skipper> var_; qi::rule<It, expr(), Skipper> not_, and_, xor_, or_, simple, expr_; };
To use the parser:
auto expr = "a and b xor (c and d or a and b);"; expr parsed_expr; qi::parse(expr.begin(), expr.end(), parser<std::string::const_iterator>(), parsed_expr); std::cout << "Parsed expression: " << parsed_expr << std::endl;
Parsed expression: ((a and b) xor ((c and d) or (a and b)))
This implementation utilizes Boost Spirit's recursive descent parser generator to build a syntax tree representing the parsed expression. It handles precedence rules correctly, resulting in a tree that accurately captures the logical structure of the expression.
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