Intermediate commit while converting to the new architecture
* Converted Filtration into StaticPersistence and DynamicPersistenceTrails
(both right now work with the underlying std::vector rather than std::list order)
* Filtration is now just an auxilliary glue (a map between Complex and Persistence)
* Whether chains are vectors or lists can be interchanged
* Added PersistenceDiagram with a simple bottleneck_distance() function
* Converted triangle, alphashapes3d, and cech-complex examples
* Lots of organizational changes
(factoring utilities out into containers.h, indirect.h, property-maps.h)
* Trying to document along the way with NaturalDocs-type comments
template<class ValueType_>
typename LinearAlgebra<ValueType_>::ValueType
LinearAlgebra<ValueType_>::
determinant(const MatrixType& a)
{
using namespace boost::numeric::ublas;
MatrixType m = a;
lu_factorize(m);
return determinant(triangular_adaptor<MatrixType, upper>(m));
}
template<class ValueType_>
void
LinearAlgebra<ValueType_>::
solve(const MatrixType& a, const VectorType& b, VectorType& x)
{
using namespace boost::numeric::ublas;
MatrixType m = a;
x = b;
lu_factorize(m);
//lu_substitute(m, x);
inplace_solve(m,x,unit_lower_tag());
inplace_solve(m,x,upper_tag());
}
/* Private */
template<class ValueType_>
template<class TriangularType_>
typename LinearAlgebra<ValueType_>::ValueType
LinearAlgebra<ValueType_>::
determinant(const boost::numeric::ublas::triangular_adaptor<MatrixType, TriangularType_>& t)
{
ValueType res = ValueType(1);
for (typename MatrixType::size_type i = 0; i < t.size1(); ++i)
res *= t(i,i);
return res;
}