Multiindex.h File Reference

#include <stdexcept>
#include <vector>
#include "capd/basicalg/factrial.h"
#include "capd/basicalg/TypeTraits.h"
#include "capd/vectalg/Vector.h"

Classes
class	capd::vectalg::Multipointer
	Multipointer always contains nondecreasing list of indexes of variables. More...
class	capd::vectalg::Multiindex
	For a Multiindex mi, mi[p] is a number of differentiation with respect to i-th variable. For example, a Multipointer mp=(0,0,2,3) in 5-dimensional space corresponds to the Multiindex mi=(2,0,1,1,0). Hence, Multiindex agrees with standard notation and it contains an additional information about the dimension of the domain of the function. More...

Namespaces
	capd
	capd::vectalg

Functions
Multipointer	capd::vectalg::sumMultipointers (const Multipointer &, const Multipointer &)
Multipointer	capd::vectalg::addIndex (const Multipointer &mp, int index)
	returns new multipointer which is multiindex mp with index added in correct place More...
Multipointer	capd::vectalg::push_back (const Multipointer &mp, int index)
	appends index to the end of multipointer mp More...
bool	capd::vectalg::hasIndex (const Multipointer &mp, int index)
	checks if muiltipointer contains index More...
int	capd::vectalg::indexCount (const Multipointer &mp, int index)
	returns the number of occurences of index in the multipointer More...
Multipointer	capd::vectalg::removeIndex (const Multipointer &mp, int index)
	returns a multipointer with removed index More...
template<typename VectorType >
VectorType::ScalarType	power (const VectorType &v, const capd::vectalg::Multiindex &m)
	It computes v^m where v is a vector and m is a multiindex. More...
template<typename VectorType >
VectorType::ScalarType	power (const VectorType &v, const capd::vectalg::Multipointer &m)

Detailed Description

Author

Daniel Wilczak