gtsam/GTSAM-Concepts.md

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GTSAM Concepts
==============
Concepts define (see [Generic Programming Techniques](http://www.boost.org/community/generic_programming.html))
* associated types
* valid expressions
* invariants
* complexity guarantees
GTSAM Types start with Uppercase, e.g., `gtsam::Point2`, and are models of the concepts MANIFOLD, GROUP, LIE_GROUP, VECTOR_SPACE
`gtsam::traits` is our way to associate these concepts with types. We will not use Eigen-style or STL-style traits, that define many properties at once. Rather, we use boost::mpl style meta-programming functions to facilitate meta-programming.
Traits allow us to play with types that are outside GTSAM control, e.g., `Eigen::VectorXd`.
The naming conventions are as follows:
* Types: `gtsam::traits::SomeAssociatedType<T>::type`, i.e., they are MixedCase and define a `type`, for example:
template<>
gtsam::traits::TangentVector<Point2> {
typedef Vector2 type;
}
* Values: `gtsam::traits::someValue<T>::value`, i.e., they are mixedCase starting with a lowercase letter and define a `value`, but also a `value_type`. For example:
template<>
gtsam::traits::dimension<Point2> {
static const int value = 2;
typedef const int value_type; // const ?
}
* Functors: `gtsam::traits::someFunctor<T>`, i.e., they are mixedCase starting with a lowercase letter and define a functor type
template<>
gtsam::traits::retract<Point2> {
Point2 operator()(const Point2& p, const Vector2& v) {
return Point2(p.x()+v[0], p.y()+v[1]);
}
}
The above is still up in the air, can we not point to a function somewhere? Or a method?
Concepts are associated with a tag.
Manifold
--------
`gtsam::tags::manifold_tag`
`gtsam::traits::structure_tag<T>`
* associated types: DefaultChart
* valid expressions: dimension
Chart
-----
Group
-----
Lie Group
---------
Vector Space
------------
Examples
--------
An example of implementing a Manifold is here:
namespace gtsam {
namespace traits {
// types:
template<typename T>
struct SomeAssociatedType<T>::type
}
}