I am reluctant to say I can't figure this out, but I can't figure this out. I've googled and searched Stack Overflow, and come up empty.

The abstract, and possibly overly vague form of the question is, how can I use the traits-pattern to instantiate member functions? [Update: I used the wrong term here. It should be "policies" rather than "traits." Traits describe existing classes. Policies prescribe synthetic classes.] The question came up while modernizing a set of multivariate function optimizers that I wrote more than 10 years ago.

The optimizers all operate by selecting a straight-line path through the parameter space away from the current best point (the "update"), then finding a better point on that line (the "line search"), then testing for the "done" condition, and if not done, iterating.

There are different methods for doing the update, the line-search, and conceivably for the done test, and other things. Mix and match. Different update formulae require different state-variable data. For example, the LMQN update requires a vector, and the BFGS update requires a matrix. If evaluating gradients is cheap, the line-search should do so. If not, it should use function evaluations only. Some methods require more accurate line-searches than others. Those are just some examples.

The original version instantiates several of the combinations by means of virtual functions. Some traits are selected by setting mode bits that are tested at runtime. Yuck. It would be trivial to define the traits with #define's and the member functions with #ifdef's and macros. But that's so twenty years ago. It bugs me that I cannot figure out a whiz-bang modern way.

If there were only one trait that varied, I could use the curiously recurring template pattern. But I see no way to extend that to arbitrary combinations of traits.

I tried doing it using boost::enable_if, etc.. The specialized state information was easy. I managed to get the functions done, but only by resorting to non-friend external functions that have the this-pointer as a parameter. I never even figured out how to make the functions friends, much less member functions. The compiler (VC++ 2008) always complained that things didn't match. I would yell, "SFINAE, you moron!" but the moron is probably me.

Perhaps tag-dispatch is the key. I haven't gotten very deeply into that.

Surely it's possible, right? If so, what is best practice?

UPDATE: Here's another try at explaining it. I want the user to be able to fill out an order (manifest) for a custom optimizer, something like ordering off of a Chinese menu - one from column A, one from column B, etc.. Waiter, from column A (updaters), I'll have the BFGS update with Cholesky-decompositon sauce. From column B (line-searchers), I'll have the cubic interpolation line-search with an eta of 0.4 and a rho of 1e-4, please. Etc...

UPDATE: Okay, okay. Here's the playing-around that I've done. I offer it reluctantly, because I suspect it's a completely wrong-headed approach. It runs okay under vc++ 2008.

#include <boost/utility.hpp>
#include <boost/type_traits/integral_constant.hpp>

namespace dj {

struct CBFGS {
    void bar() {printf("CBFGS::bar %d\n", data);}
    CBFGS(): data(1234){}
    int data;
};

template<class T>
struct is_CBFGS: boost::false_type{};

template<>
struct is_CBFGS<CBFGS>: boost::true_type{};

struct LMQN {LMQN(): data(54.321){}
    void bar() {printf("LMQN::bar %lf\n", data);}
    double data;
};

template<class T>
struct is_LMQN: boost::false_type{};

template<>
struct is_LMQN<LMQN> : boost::true_type{};

// "Order form"
struct default_optimizer_traits {
    typedef CBFGS update_type; // Selection from column A - updaters
};

template<class traits> class Optimizer;

template<class traits>
void foo(typename boost::enable_if<is_LMQN<typename traits::update_type>, 
         Optimizer<traits> >::type& self) 
{
    printf(" LMQN %lf\n", self.data);
}

template<class traits>
void foo(typename boost::enable_if<is_CBFGS<typename traits::update_type>,  
         Optimizer<traits> >::type& self) 
{
    printf("CBFGS %d\n", self.data);
}

template<class traits = default_optimizer_traits>
class Optimizer{
    friend typename traits::update_type;
    //friend void dj::foo<traits>(typename Optimizer<traits> & self); // How?
public:
    //void foo(void); // How???
    void foo() {
        dj::foo<traits>(*this);
    }
    void bar() {
        data.bar();
    }
//protected: // How?
    typedef typename traits::update_type update_type;
    update_type data;
};

} // namespace dj



int main() {
    dj::Optimizer<> opt;
    opt.foo();
    opt.bar();
    std::getchar();
    return 0;
}