How to verify algebraic statements using boost::spirit?

Question

I\'m trying to extend the calculator example so that instead of parsing and evaluating an algebraic expression, the parser will determine if an algebraic statement is true o

Answer 1

The simplest thing that could work, if you ask me would be http://liveworkspace.org/code/1fvc8x$0

equation = (expression >> "=" >> expression) [ _val = _1 == _2 ];

This will parse two expressions, and the returned attribute is a bool that indicates whether both expressions evaluated to the same value.

The demonstration program

int main()
{
    doParse("1 + 2 * 3 = 7");
    doParse("1 + 2 * 3 = 8");
}

prints

parse success
result: true
parse success
result: false

Sample program

#include <boost/fusion/adapted.hpp>
#include <boost/spirit/include/qi.hpp>
#include <boost/spirit/include/phoenix.hpp>

namespace qi    = boost::spirit::qi;
namespace phx   = boost::phoenix;

typedef unsigned attr_t;

template <typename It, typename Skipper = qi::space_type>
    struct calculator : qi::grammar<It, bool(), Skipper>
{
    calculator() : calculator::base_type(equation)
    {
        using qi::uint_;
        using qi::_val;
        using qi::_1;
        using qi::_2;

        equation = (expression >> "=" >> expression) [ _val = _1 == _2 ];

        expression =
            term                    [_val = _1]
                >> *( ('+' >> term  [_val = _val + _1])
                    | ('-' >> term  [_val = _val - _1])
                    );

            term =
                factor                [_val = _1]
                >> *( ('*' >> factor  [_val = _val * _1])
                    | ('/' >> factor  [_val = _val / _1])
                    );

            factor =
                uint_                 [_val = _1]
                |   '(' >> expression [_val = _1] >> ')'
                |   ('-' >> factor    [_val = -_1])
                |   ('+' >> factor    [_val = _1]);
    }

  private:
    qi::rule<It, unsigned(), Skipper> expression, term, factor;
    qi::rule<It, bool(), Skipper> equation;
};

bool doParse(const std::string& input)
{
    typedef std::string::const_iterator It;
    auto f(begin(input)), l(end(input));

    calculator<It, qi::space_type> p;
    bool result;

    try
    {
        bool ok = qi::phrase_parse(f,l,p,qi::space,result);
        if (ok)   
        {
            std::cout << "parse success\n";
            std::cout << "result: " << std::boolalpha << result << "\n";
        }
        else      std::cerr << "parse failed: '" << std::string(f,l) << "'\n";

        if (f!=l) std::cerr << "trailing unparsed: '" << std::string(f,l) << "'\n";
        return ok;
    } catch(const qi::expectation_failure<It>& e)
    {
        std::string frag(e.first, e.last);
        std::cerr << e.what() << "'" << frag << "'\n";
    }

    return false;
}

int main()
{
    doParse("1 + 2 * 3 = 7");
    doParse("1 + 2 * 3 = 8");
}