Fiber::FiberTypeIndex Struct Reference

Inheritance diagram for Fiber::FiberTypeIndex:

Public Member Functions
auto	operator<=> (const FiberTypeIndex &) const =default
	https://en.cppreference.com/w/cpp/language/default_comparisons https://devblogs.microsoft.com/cppblog/simplify-your-code-with-rocket-science-c20s-spaceship-operator/
std::string	description () const
auto	value_type_size () const

Public Attributes
unsigned	multiplicity = 0
	How many atomic elements construct this type.
unsigned	mem_size = 0
	How many bytes this object occupies in memory.
int	rank = 0
	For tensorial objects, specify the rank.
int	grade = 0
	Grade of multivectors.
unsigned	array_element_size = 0
	The size of an array element in memory if the type is an array.
std::string	type_name
std::string	element_type_name
std::string	chart_name
	Return the textual naming scheme of the ith coordinate.
int	chart_dimension = 0
	A textual description for each member, as derived from the coordinate's component names, the indexing scheme and the grade-.

Member Function Documentation

operator<=>()

auto Fiber::FiberTypeIndex::operator<=> ( const FiberTypeIndex &  ) const

default

https://en.cppreference.com/w/cpp/language/default_comparisons https://devblogs.microsoft.com/cppblog/simplify-your-code-with-rocket-science-c20s-spaceship-operator/

Parameters

i	The index number, between 0 and rank()

Member Data Documentation

chart_dimension

int Fiber::FiberTypeIndex::chart_dimension = 0

A textual description for each member, as derived from the coordinate's component names, the indexing scheme and the grade-.

Parameters

ComponentId

An integer between 0 and multiplicity();

chart_name

std::string Fiber::FiberTypeIndex::chart_name

Return the textual naming scheme of the ith coordinate.

Parameters

a	value beteen 0 and char_dimension()

Referenced by Fiber::FiberTypeBase::coordinate_component_name().

grade

int Fiber::FiberTypeIndex::grade = 0

Grade of multivectors.

Only blades (pure multivectors) can be expressed hereby.

Multivectors are classified according to their degree: Scalars have degree zero, vectors one, bivectors two, etc.

Note that the grade provides an extended type information beyond just the rank: In 3D, both vectors and bi-vectors have rank 1, but vectors are of grade 1, bi-vectors of grade 2.

Referenced by Fiber::FiberTypeBase::grade().

multiplicity

unsigned Fiber::FiberTypeIndex::multiplicity = 0

How many atomic elements construct this type.

Note that in memory there might be more than that due to alignment issues, see mem_size().

Referenced by Fiber::FiberTypeBase::multiplicity().

rank

int Fiber::FiberTypeIndex::rank = 0

For tensorial objects, specify the rank.

A matrix has rank two, a vector has rank one. Scalars have rank zero. The number of elements (multiplicity() ) can at most be chart_dimension() to the power of rank().

Referenced by Fiber::FiberTypeBase::rank().