On Fri, Aug 26, 2011 at 5:16 AM, alfC <alfredo.correa@gmail.com> wrote:
On Friday, August 26, 2011 1:13:37 AM UTC-7, John Maddock wrote:
Plus I don't really want to make Boost.Math dependent upon Boost.Units.
(of course but) This is a chicken and egg problem. Maybe this is calling for a third library that provides a uniform protocol for determining the type results of operators. Maybe based on boost/units/operator_helpers? Maybe it already exists? Maybe it is a matter of adding result_type/result_of protocol to the equivalent of std::multiplies<T1,T2>? There is always "decltype" but I don't know what is the philosophy with respect to C++11 features. Another alternative is to have an optional extra template argument that provides information on the types. Just take boost.units as an example; there can be other numeric types in which T*T != T and yet all these algorithms still make sense. Again, nobody is asking that make Boost.Math dependent on Boost.Units; just make it compatible with it by not doing over assumptions on the types. Boost.Units quantities are really very honest mathematical objects, it is not just a weird designed type. I am sure Boost.Units authors can make a better case.
I don't think it has to be a chicken and egg problem. If the math library says that it is generic it should support return types that are different from the input types IMHO. In the past I have implemented math libraries like so: template < typename X0, typename Y0, typename Z0, typename X1, typename Y1, typename Z1
BOOST_TYPEOF_TPL(X0() * X1() + Y0() * Y1() + Z0() * Z1()) dot_product(const vector3<X0, Y0, Z0> &lhs, const vector3<X1, Y1, Z1> &rhs) { return lhs.x * rhs.x + lhs.y * rhs.y + lhs.z * rhs.z; } which admittedly is not *entirely* generic since it relies on the vector3 type and probably should have taken a generic tuple, but you can at least see how the result type gets computed. I haven't tried this using Boost.Units as the vector components, but my hope would be that a vector3 of Boost.Units in this case would Just Work. It seems like auto and decltype will help out library authors quite a bit in this regard. Regards, --Michael Fawcett