StaticPTransf< N, Scalar >

template<size_t N, typename Scalar>
class libsemigroups::StaticPTransf< N, Scalar >

Defined in transf.hpp.

Static partial transformations.

This is a class for partial transformations where the number of points acted on (the degree) is set at compile time.

Template Parameters

Scalar

an unsigned integer type.

Inheritance diagram for StaticPTransf< N, Scalar >:

Public Types
using	container_type = std::array<Scalar, N>
	Type of the underlying container.
using	point_type = Scalar
	Type of the image values.
Public Types inherited from PTransfBase< Scalar, std::array< Scalar, N > >
using	const_iterator
	Type of const iterators pointing to image values.
using	container_type
	Type of the underlying container.
using	iterator
	Type of iterators pointing to image values.
using	point_type
	Type of the image values.

Public Member Functions
	StaticPTransf ()
	Default constructor.
	StaticPTransf (size_t n)
	Construct with given degree.
const_iterator	begin () const noexcept
	Returns a const_iterator (random access iterator) pointing at the first image value.
iterator	begin () noexcept
	Returns an iterator (random access iterator) pointing at the first image value.
const_iterator	end () const noexcept
	Returns a const_iterator (random access iterator) pointing one past the last image value.
iterator	end () noexcept
	Returns an iterator (random access iterator) pointing one past the last image value.
StaticPTransf &	increase_degree_by (size_t)
	Increase the degree in-place.
Public Member Functions inherited from PTransfBase< Scalar, std::array< Scalar, N > >
	PTransfBase ()=default
	Default constructor.
	PTransfBase ()=default
	Default constructor.
	PTransfBase (Iterator first, Iterator last)
	Construct from a range of images.
	PTransfBase (Iterator first, Iterator last)
	Construct from a range of images.
	PTransfBase (PTransfBase &&)=default
	Default move constructor.
	PTransfBase (PTransfBase &&)=default
	Default move constructor.
	PTransfBase (PTransfBase const &)=default
	Default copy constructor.
	PTransfBase (PTransfBase const &)=default
	Default copy constructor.
	PTransfBase (std::array< Scalar, N > &&cont)
	Construct from a container of images.
	PTransfBase (std::array< Scalar, N > &&cont)
	Construct from a container of images.
	PTransfBase (std::array< Scalar, N > const &cont)
	Construct from a container of images.
	PTransfBase (std::array< Scalar, N > const &cont)
	Construct from a container of images.
	PTransfBase (std::initializer_list< Scalar > cont)
	Construct from a container of images.
	PTransfBase (std::initializer_list< Scalar > cont)
	Construct from a container of images.
point_type &	at (size_t i)
	Get a reference to the image of a point.
point_type &	at (size_t i)
	Get a reference to the image of a point.
point_type const &	at (size_t i) const
	Get a const reference to the image of a point.
point_type const &	at (size_t i) const
	Get a const reference to the image of a point.
const_iterator	begin () const noexcept
	Returns a const_iterator (random access iterator) pointing at the first image value.
const_iterator	begin () const noexcept
	Returns a const_iterator (random access iterator) pointing at the first image value.
iterator	begin () noexcept
	Returns an iterator (random access iterator) pointing at the first image value.
iterator	begin () noexcept
	Returns an iterator (random access iterator) pointing at the first image value.
const_iterator	cbegin () const noexcept
	Returns a const_iterator (random access iterator) pointing at the first image value.
const_iterator	cbegin () const noexcept
	Returns a const_iterator (random access iterator) pointing at the first image value.
const_iterator	cend () const noexcept
	Returns a const_iterator (random access iterator) pointing one past the last image value.
const_iterator	cend () const noexcept
	Returns a const_iterator (random access iterator) pointing one past the last image value.
size_t	degree () const noexcept
	Returns the degree of a partial transformation.
size_t	degree () const noexcept
	Returns the degree of a partial transformation.
const_iterator	end () const noexcept
	Returns a const_iterator (random access iterator) pointing one past the last image value.
const_iterator	end () const noexcept
	Returns a const_iterator (random access iterator) pointing one past the last image value.
iterator	end () noexcept
	Returns an iterator (random access iterator) pointing one past the last image value.
iterator	end () noexcept
	Returns an iterator (random access iterator) pointing one past the last image value.
size_t	hash_value () const
	Returns a hash value.
size_t	hash_value () const
	Returns a hash value.
bool	operator!= (PTransfBase const &that) const
	Compare for inequality.
bool	operator!= (PTransfBase const &that) const
	Compare for inequality.
Subclass	operator* (Subclass const &that) const
	Multiply by another partial transformation.
Subclass	operator* (Subclass const &that) const
	Multiply by another partial transformation.
bool	operator< (PTransfBase const &that) const
	Compare for less.
bool	operator< (PTransfBase const &that) const
	Compare for less.
bool	operator<= (PTransfBase const &that) const
	Compare for less than or equal.
bool	operator<= (PTransfBase const &that) const
	Compare for less than or equal.
PTransfBase &	operator= (PTransfBase &&)=default
	Default move assignment operator.
PTransfBase &	operator= (PTransfBase &&)=default
	Default move assignment operator.
PTransfBase &	operator= (PTransfBase const &)=default
	Default copy assignment operator.
PTransfBase &	operator= (PTransfBase const &)=default
	Default copy assignment operator.
bool	operator== (PTransfBase const &that) const
	Compare for equality.
bool	operator== (PTransfBase const &that) const
	Compare for equality.
bool	operator> (PTransfBase const &that) const
	Compare for greater.
bool	operator> (PTransfBase const &that) const
	Compare for greater.
bool	operator>= (PTransfBase const &that) const
	Compare for greater than or equal.
bool	operator>= (PTransfBase const &that) const
	Compare for greater than or equal.
point_type &	operator[] (size_t i)
	Get a reference to the image of a point.
point_type &	operator[] (size_t i)
	Get a reference to the image of a point.
point_type const &	operator[] (size_t i) const
	Get a const reference to the image of a point.
point_type const &	operator[] (size_t i) const
	Get a const reference to the image of a point.
size_t	rank () const
	Returns the number of distinct image values.
size_t	rank () const
	Returns the number of distinct image values.
void	swap (PTransfBase &that) noexcept
	Swap with another partial transformation.
void	swap (PTransfBase &that) noexcept
	Swap with another partial transformation.

Additional Inherited Members
Static Public Member Functions inherited from PTransfBase< Scalar, std::array< Scalar, N > >
static Subclass	make (OtherContainer &&cont)
	Construct from universal reference container and check.
static Subclass	make (OtherContainer &&cont)
	Construct from universal reference container and check.
static Subclass	make (std::initializer_list< OtherScalar > cont)
	Construct from std::initializer_list and check.
static Subclass	make (std::initializer_list< OtherScalar > cont)
	Construct from std::initializer_list and check.
static Subclass	one (size_t N)
	Returns the identity transformation on the given number of points.
static Subclass	one (size_t N)
	Returns the identity transformation on the given number of points.
static point_type	undef () noexcept
	Returns the value used to represent "undefined".
static point_type	undef () noexcept
	Returns the value used to represent "undefined".

Member Typedef Documentation

container_type

template<size_t N, typename Scalar>

using container_type = std::array<Scalar, N>

In this case, this is std::array<point_type, N>.

point_type

template<size_t N, typename Scalar>

using point_type = Scalar

Also the template parameter Scalar.

Constructor & Destructor Documentation

StaticPTransf() [1/2]

template<size_t N, typename Scalar>

StaticPTransf ( )

inline

Constructs a partial transformation of degree equal to the template parameter N with the image of every point set to UNDEFINED.

Exceptions

This function guarantees not to throw a LibsemigroupsException.

Complexity

Linear in the template parameter N.

StaticPTransf() [2/2]

template<size_t N, typename Scalar>

StaticPTransf ( size_t n )

explicit

This function constructs the same partial transformation as the default constructor, and exists only for consistency of interface with DynamicPTransf.

Parameters

n	the degree of the partial transformation being constructed.

Exceptions

LibsemigroupsException

if n is not equal to the class template parameter N.

Member Function Documentation

begin() [1/2]

template<size_t N, typename Scalar>

const_iterator begin ( ) const

inlinenodiscardnoexcept

Returns

A const iterator to the first image value.

Exceptions

This function is noexcept and is guaranteed never to throw.

Complexity

Constant.

begin() [2/2]

template<size_t N, typename Scalar>

iterator begin ( )

inlinenodiscardnoexcept

Returns

An iterator to the first image value.

Exceptions

This function is noexcept and is guaranteed never to throw.

Complexity

Constant.

end() [1/2]

template<size_t N, typename Scalar>

const_iterator end ( ) const

inlinenodiscardnoexcept

Returns

A const iterator pointing one past the last image value.

Exceptions

This function is noexcept and is guaranteed never to throw.

Complexity

Constant.

end() [2/2]

template<size_t N, typename Scalar>

iterator end ( )

inlinenodiscardnoexcept

Returns

An iterator pointing one past the last image value.

Exceptions

This function is noexcept and is guaranteed never to throw.

Complexity

Constant.

increase_degree_by()

template<size_t N, typename Scalar>

StaticPTransf & increase_degree_by ( size_t )

inline

This doesn't make sense for this type, and it throws every time.

Exceptions

LibsemigroupsException

every time.

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The documentation for this class was generated from the following file:

• /Users/jdm3/libsemigroups/include/libsemigroups/transf.hpp