How to make an "operator" variable? (C++)

Question

I am working on making an expression class:

template<typename T, typename U>
class expression
{
public:
    expression(T vala, U valb, oper o){val1 = vala; val2 = valb; op = o;}
    operator bool{return(val1 op val2);}
private:
    T val1;
    U val2;
    oper op;
};

as you can see, this is somewhat pseudocode, because I need an operator class. My original thought was to create an array of all possible operators, and then convert it through a string, but that wouldn't work because of the sheer number of operators, and how to convert it to a string except through a two dimensional array, where n[0][0] has the first operator, and n[0][1] has that operators string.

Does anybody have any suggestions to adding an operator value to my expression class?

Answer 1

Maybe a function pointer. Instead of ...

operator bool{return(val1 op val2);}

... code it as ...

operator bool{return op(val1, val2);}

... in which case op can be a pointer to a (any) function which takes two parameters and which returns bool.

template<typename T, typename U>
class expression
{
public:
    //define pointer-to-function type
    typedef bool *oper(const T& val1, const U& val2);
    ... etc ...