C++ namespace for polymer self-consistent field theory (PSCF). More...

Namespaces
namespace	Fd1d
	Finite-different one-dimensional SCFT.

namespace	Homogeneous
	Properties of spatially homogeneous mixtures (Flory-Huggins theory).

namespace	Pspc
	Pseudo-spectral SCFT for periodic boundary conditions.

namespace	Pspg
	Classes for pseudo-spectral algorithm for periodic boundary conditions.

Classes
class	AmbdInteraction
	Modified interaction to compute residual defn. More...

class	AmIteratorTmpl
	Template for Anderson mixing iterator algorithm. More...

class	Basis
	Symmetry-adapted Fourier basis for pseudo-spectral scft. More...

class	BFieldComparison
	Comparator for fields in symmetry-adapted basis format. More...

class	BlockDescriptor
	Description of a linear homopolymer block within a block polymer. More...

class	BlockTmpl
	Class template for a block in a block copolymer. More...

class	Field
	Base class template for a field defined on a spatial grid. More...

class	FieldComparison
	Comparison of element-by-element differences between field arrays. More...

class	Interaction
	Flory-Huggins excess free energy model. More...

class	IntVec
	An IntVec<D, T> is a D-component vector of elements of integer type T. More...

class	LuSolver
	Solve Ax=b by LU decomposition of A. More...

class	Mesh
	Description of a regular grid of points in a periodic domain. More...

class	MeshIterator
	Iterator over points in a Mesh<D>. More...

class	MixtureTmpl
	A mixture of polymer and solvent species. More...

class	Monomer
	Descriptor for a monomer or particle type. More...

class	NanException
	Exception thrown when not-a-number (NaN) is encountered. More...

class	PolymerTmpl
	Descriptor and MDE solver for an acyclic block polymer. More...

struct	PolymerType
	Struct containing an enumeration of polymer structure types. More...

class	PropagatorTmpl
	Template for propagator classes. More...

class	RealVec
	A RealVec<D, T> is D-component vector with elements of floating type T. More...

class	SolventDescriptor
	Descriptor for a solvent species. More...

class	SpaceGroup
	Crystallographic space group. More...

class	SpaceSymmetry
	A SpaceSymmetry represents a crystallographic space group symmetry. More...

class	Species
	Base class for a molecular species (polymer or solvent). More...

class	SweepTmpl
	Solve a sequence of problems along a path through parameter space. More...

class	SymmetryGroup
	Class template for a group of elements. More...

class	TridiagonalSolver
	Solver for Ax=b with tridiagonal matrix A. More...

struct	TWave
	Simple wave struct for use within Basis construction. More...

struct	TWaveBzComp
	Comparator for TWave objects, based on TWave::indicesBz. More...

struct	TWaveDftComp
	Comparator for TWave objects, based on TWave::indicesDft. More...

struct	TWaveNormComp
	Comparator for TWave objects, based on TWave::sqNorm. More...

class	UnitCell
	Base template for UnitCell<D> classes, D=1, 2 or 3. More...

class	UnitCell< 1 >
	1D crystal unit cell. More...

class	UnitCell< 2 >
	2D crystal unit cell. More...

class	UnitCell< 3 >
	3D crystal unit cell. More...

class	UnitCellBase
	Base class template for a crystallographic unit cell. More...

class	Vec
	A Vec<D, T><D,T> is a D-component vector with elements of type T. More...

class	Vertex
	A junction or chain end in a block polymer. More...

Functions
std::istream &	operator>> (std::istream &in, BlockDescriptor &block)
	istream extractor for a BlockDescriptor. More...

std::ostream &	operator<< (std::ostream &out, const BlockDescriptor &block)
	ostream inserter for a BlockDescriptor. More...

std::istream &	operator>> (std::istream &in, Monomer &monomer)
	istream extractor for a Monomer. More...

std::ostream &	operator<< (std::ostream &out, const Monomer &monomer)
	ostream inserter for a Monomer. More...

std::istream &	operator>> (std::istream &in, PolymerType::Enum &type)
	Input stream extractor for a PolymerType::Enum enumeration. More...

std::ostream &	operator<< (std::ostream &out, PolymerType::Enum &type)
	Input stream extractor for a PolymerType::Enum enumeration. More...

template<class Archive >
void	serialize (Archive &ar, PolymerType::Enum &data, const unsigned int version)
	Serialize a PolymerType::Enum enumeration. More...

std::istream &	operator>> (std::istream &in, Species::Ensemble &policy)
	istream extractor for a Species::Ensemble. More...

std::ostream &	operator<< (std::ostream &out, Species::Ensemble policy)
	ostream inserter for an Species::Ensemble. More...

template<class Archive >
void	serialize (Archive &ar, Species::Ensemble &policy, const unsigned int version)
	Serialize a Species::Ensemble. More...

std::string	makeGroupFileName (int D, std::string groupName)
	Generates the file name from a group name. More...

template<int D>
IntVec< D >	shiftToMinimum (IntVec< D > &v, IntVec< D > d, UnitCell< D > const &cell)
	Returns minimum magnitude image of DFT wavevector. More...

template<int D>
std::ostream &	operator<< (std::ostream &out, SpaceGroup< D > const &g)
	Output stream inserter operator for a SpaceGroup<D>. More...

template<int D>
std::istream &	operator>> (std::istream &in, SpaceGroup< D > &g)
	Input stream extractor operator for a SpaceGroup<D>. More...

template<int D>
void	readGroup (std::string groupName, SpaceGroup< D > &group)
	Open and read a group file. More...

template<int D>
void	writeGroup (std::string filename, SpaceGroup< D > const &group)
	Open and write a group file. More...

template<int D>
bool	operator== (const SpaceSymmetry< D > &A, const SpaceSymmetry< D > &B)
	Are two SpaceSymmetry objects equivalent? More...

template<int D>
bool	operator!= (const SpaceSymmetry< D > &A, const SpaceSymmetry< D > &B)
	Are two SpaceSymmetry objects not equivalent? More...

template<int D>
SpaceSymmetry< D >	operator* (const SpaceSymmetry< D > &A, const SpaceSymmetry< D > &B)
	Return the product A*B of two symmetry objects. More...

template<int D>
IntVec< D >	operator* (const SpaceSymmetry< D > &S, const IntVec< D > &V)
	Return the IntVec<D> product S*V of a rotation matrix and an IntVec<D>. More...

template<int D>
IntVec< D >	operator* (const IntVec< D > &V, const SpaceSymmetry< D > &S)
	Return the IntVec<D> product V*S of an IntVec<D> and a rotation matrix. More...

template<int D>
std::ostream &	operator<< (std::ostream &out, const SpaceSymmetry< D > &A)
	Output stream inserter for a SpaceSymmetry<D> More...

template<int D>
std::istream &	operator>> (std::istream &in, SpaceSymmetry< D > &A)
	Input stream extractor for a SpaceSymmetry<D> More...

template<int D>
std::istream &	operator>> (std::istream &in, UnitCell< D > &cell)
	istream input extractor for a UnitCell<D>. More...

template<int D>
std::ostream &	operator<< (std::ostream &out, UnitCell< D > const &cell)
	ostream output inserter for a UnitCell<D>. More...

template<class Archive , int D>
void	serialize (Archive &ar, UnitCell< D > &cell, const unsigned int version)
	Serialize to/from an archive. More...

template<int D>
void	readUnitCellHeader (std::istream &in, UnitCell< D > &cell)
	Read UnitCell<D> from a field file header (fortran PSCF format). More...

template<int D>
void	writeUnitCellHeader (std::ostream &out, UnitCell< D > const &cell)
	Write UnitCell<D> to a field file header (fortran PSCF format). More...

std::istream &	operator>> (std::istream &in, UnitCell< 1 >::LatticeSystem &lattice)
	istream extractor for a 1D UnitCell<1>::LatticeSystem. More...

std::ostream &	operator<< (std::ostream &out, UnitCell< 1 >::LatticeSystem lattice)
	ostream inserter for a 1D UnitCell<1>::LatticeSystem. More...

template<class Archive >
void	serialize (Archive &ar, UnitCell< 1 >::LatticeSystem &lattice, const unsigned int version)
	Serialize a UnitCell<1>::LatticeSystem enumeration value. More...

std::istream &	operator>> (std::istream &in, UnitCell< 2 >::LatticeSystem &lattice)
	istream extractor for a 2D UnitCell<2>::LatticeSystem. More...

std::ostream &	operator<< (std::ostream &out, UnitCell< 2 >::LatticeSystem lattice)
	ostream inserter for a 2D UnitCell<2>::LatticeSystem. More...

template<class Archive >
void	serialize (Archive &ar, UnitCell< 2 >::LatticeSystem &lattice, const unsigned int version)
	Serialize a UnitCell<2>::LatticeSystem enumeration value. More...

std::istream &	operator>> (std::istream &in, UnitCell< 3 >::LatticeSystem &lattice)
	istream extractor for a 3D UnitCell<3>::LatticeSystem. More...

std::ostream &	operator<< (std::ostream &out, UnitCell< 3 >::LatticeSystem lattice)
	ostream inserter for an 3D UnitCell<3>::LatticeSystem. More...

template<class Archive >
void	serialize (Archive &ar, UnitCell< 3 >::LatticeSystem &lattice, const unsigned int version)
	Serialize a UnitCell<3>::LatticeSystem enumeration value. More...

template<int D, typename T >
std::istream &	operator>> (std::istream &in, IntVec< D, T > &vector)
	istream extractor for a IntVec<D, T>. More...

template<int D, typename T >
std::ostream &	operator<< (std::ostream &out, const IntVec< D, T > &vector)
	ostream inserter for a IntVec<D, T>. More...

template<int D, typename T >
bool	operator== (const IntVec< D, T > &v1, const IntVec< D, T > &v2)
	Equality of two IntVec<D> objects. More...

template<int D, typename T >
bool	operator== (const IntVec< D, T > &v1, const Vec< D, T > &v2)
	Equality of an IntVec<D> and a Vec<D, T> More...

template<int D, typename T >
bool	operator== (const Vec< D, T > &v1, const IntVec< D, T > &v2)
	Equality of an Vec<D, T> and an IntVec<D, T> More...

template<int D, typename T >
bool	operator!= (const IntVec< D, T > &v1, const IntVec< D, T > &v2)
	Inequality of two IntVec<D, T> objects. More...

template<int D, typename T >
bool	operator!= (const IntVec< D, T > &v1, const Vec< D, T > &v2)
	Inequality of an IntVec<D> and a Vec<D, T> More...

template<int D, typename T >
bool	operator!= (const Vec< D, T > &v1, const IntVec< D, T > &v2)
	Inequality of a Vec<D, T> and an IntVec<D, T> More...

template<int D, typename T >
bool	operator< (const IntVec< D, T > &v1, const IntVec< D, T > &v2)
	Less than comparison for two IntVec<D, T>s. More...

template<int D, typename T >
bool	operator<= (const IntVec< D, T > &v1, const IntVec< D, T > &v2)
	Less than or equal to comparison for two IntVec<D, T>s. More...

template<int D, typename T >
bool	operator> (const IntVec< D, T > &v1, const IntVec< D, T > &v2)
	Greater than comparison for two IntVec<D, T>s. More...

template<int D, typename T >
bool	operator>= (const IntVec< D, T > &v1, const IntVec< D, T > &v2)
	Greater than or equal to comparison for two IntVec<D, T>s. More...

template<int D, typename T >
std::istream &	operator>> (std::istream &in, RealVec< D, T > &vector)
	istream extractor for a RealVec<D, T>. More...

template<int D, typename T >
std::ostream &	operator<< (std::ostream &out, const RealVec< D, T > &vector)
	ostream inserter for a RealVec<D, T>. More...

template<int D, typename T >
T	dot (Vec< D, T > const &v1, Vec< D, T > const &v2)
	Return dot product of two vectors. More...

template<int D, typename T >
Vec< D, T >	operator+ (Vec< D, T > const &v1, Vec< D, T > const &v2)
	Return the sum of two vectors. More...

template<int D>
std::istream &	operator>> (std::istream &in, Mesh< D > &mesh)
	Input stream extractor for reading a Mesh<D> object. More...

template<int D>
std::ostream &	operator<< (std::ostream &out, Mesh< D > const &mesh)
	Output stream inserter for writing a Mesh<D> object. More...

Detailed Description

C++ namespace for polymer self-consistent field theory (PSCF).

Function Documentation

◆ operator>>() [1/7]

std::istream & Pscf::operator>>	(	std::istream &	in,
		BlockDescriptor &	block
	)

istream extractor for a BlockDescriptor.

Parameters

in	input stream
block	BlockDescriptor to be read from stream

Returns: modified input stream

Definition at line 70 of file BlockDescriptor.cpp.

◆ operator<<() [1/8]

std::ostream & Pscf::operator<<	(	std::ostream &	out,
		const BlockDescriptor &	block
	)

ostream inserter for a BlockDescriptor.

Parameters

out	output stream
block	BlockDescriptor to be written to stream

Returns: modified output stream

Definition at line 84 of file BlockDescriptor.cpp.

◆ operator>>() [2/7]

std::istream & Pscf::operator>>	(	std::istream &	in,
		Monomer &	monomer
	)

istream extractor for a Monomer.

Parameters

in	input stream
monomer	Monomer to be read from stream

Returns: modified input stream

Definition at line 24 of file Monomer.cpp.

◆ operator<<() [2/8]

std::ostream & Pscf::operator<<	(	std::ostream &	out,
		const Monomer &	monomer
	)

ostream inserter for a Monomer.

Parameters

out	output stream
monomer	Monomer to be written to stream

Returns: modified output stream

Definition at line 34 of file Monomer.cpp.

◆ operator>>() [3/7]

std::istream & Pscf::operator>>	(	std::istream &	in,
		PolymerType::Enum &	type
	)

Input stream extractor for a PolymerType::Enum enumeration.

Parameters

in	input stream
type	value of PolymerType to be read from file

Definition at line 20 of file PolymerType.cpp.

References UTIL_THROW.

◆ operator<<() [3/8]

std::ostream & Pscf::operator<<	(	std::ostream &	out,
		PolymerType::Enum &	type
	)

Input stream extractor for a PolymerType::Enum enumeration.

Parameters

out	output stream
type	value of PolymerType to be written

Definition at line 40 of file PolymerType.cpp.

References UTIL_THROW.

◆ serialize() [1/5]

template<class Archive >

void Pscf::serialize	(	Archive &	ar,
		PolymerType::Enum &	data,
		const unsigned int	version
	)

inline

Serialize a PolymerType::Enum enumeration.

Parameters

ar	archive
data	enumeration data to be serialized
version	version id

Definition at line 56 of file PolymerType.h.

References Util::serializeEnum().

◆ operator>>() [4/7]

std::istream & Pscf::operator>>	(	std::istream &	in,
		Species::Ensemble &	policy
	)

istream extractor for a Species::Ensemble.

Parameters

in	input stream
policy	Species::Ensemble to be read

Returns: modified input stream

Definition at line 22 of file Species.cpp.

References UTIL_THROW.

◆ operator<<() [4/8]

std::ostream & Pscf::operator<<	(	std::ostream &	out,
		Species::Ensemble	policy
	)

ostream inserter for an Species::Ensemble.

Parameters

out	output stream
policy	Species::Ensemble to be written

Returns: modified output stream

Definition at line 40 of file Species.cpp.

References UTIL_THROW.

◆ serialize() [2/5]

template<class Archive >

void Pscf::serialize	(	Archive &	ar,
		Species::Ensemble &	policy,
		const unsigned int	version
	)

Serialize a Species::Ensemble.

Parameters

ar	archive object
policy	object to be serialized
version	archive version id

Definition at line 131 of file Species.h.

References Util::serializeEnum().

◆ serialize() [3/5]

template<class Archive >

void Pscf::serialize	(	Archive &	ar,
		UnitCell< 1 >::LatticeSystem &	lattice,
		const unsigned int	version
	)

inline

Serialize a UnitCell<1>::LatticeSystem enumeration value.

Parameters

ar	archive
lattice	enumeration data to be serialized
version	version id

Definition at line 261 of file UnitCell.h.

References Util::serializeEnum().

◆ operator<<() [5/8]

std::ostream & Pscf::operator<<	(	std::ostream &	out,
		UnitCell< 2 >::LatticeSystem	lattice
	)

ostream inserter for a 2D UnitCell<2>::LatticeSystem.

Parameters

out	output stream
lattice	UnitCell<2>::LatticeSystem to be written

Returns: modified output stream

Definition at line 186 of file UnitCell2.cpp.

References UTIL_THROW.

◆ serialize() [4/5]

template<class Archive >

void Pscf::serialize	(	Archive &	ar,
		UnitCell< 2 >::LatticeSystem &	lattice,
		const unsigned int	version
	)

inline

Serialize a UnitCell<2>::LatticeSystem enumeration value.

Parameters

ar	archive
lattice	enumeration data to be serialized
version	version id

Definition at line 385 of file UnitCell.h.

References Util::serializeEnum().

◆ serialize() [5/5]

template<class Archive >

void Pscf::serialize	(	Archive &	ar,
		UnitCell< 3 >::LatticeSystem &	lattice,
		const unsigned int	version
	)

inline

Serialize a UnitCell<3>::LatticeSystem enumeration value.

Parameters

ar	archive
lattice	enumeration data to be serialized
version	version id

Definition at line 512 of file UnitCell.h.

References Util::serializeEnum().

◆ operator>>() [5/7]

template<int D, typename T >

std::istream & Pscf::operator>>	(	std::istream &	in,
		IntVec< D, T > &	vector
	)

istream extractor for a IntVec<D, T>.

Input elements of a vector from stream, without line breaks.

Parameters

in	input stream
vector	IntVec<D, T> to be read from stream

Returns: modified input stream

Definition at line 85 of file IntVec.h.

◆ operator<<() [6/8]

template<int D, typename T >

std::ostream & Pscf::operator<<	(	std::ostream &	out,
		const IntVec< D, T > &	vector
	)

ostream inserter for a IntVec<D, T>.

Output a IntVec<D, T> to an ostream, without line breaks.

Output elements of a vector to stream, without line breaks.

Parameters

out	output stream
vector	IntVec<D, T> to be written to stream

Returns: modified output stream

Definition at line 104 of file IntVec.h.

◆ operator==() [1/3]

template<int D, typename T >

bool Pscf::operator==	(	const IntVec< D, T > &	v1,
		const IntVec< D, T > &	v2
	)

inline

Equality of two IntVec<D> objects.

Returns: true if v1 == v2, false otherwise.

Definition at line 120 of file IntVec.h.

◆ operator==() [2/3]

template<int D, typename T >

bool Pscf::operator==	(	const IntVec< D, T > &	v1,
		const Vec< D, T > &	v2
	)

inline

Equality of an IntVec<D> and a Vec<D, T>

Returns: true if v1 == v2, false otherwise.

Definition at line 137 of file IntVec.h.

◆ operator==() [3/3]

template<int D, typename T >

bool Pscf::operator==	(	const Vec< D, T > &	v1,
		const IntVec< D, T > &	v2
	)

inline

Equality of an Vec<D, T> and an IntVec<D, T>

Returns: true if v1 == v2, false otherwise.

Definition at line 154 of file IntVec.h.

◆ operator!=() [1/3]

template<int D, typename T >

bool Pscf::operator!=	(	const IntVec< D, T > &	v1,
		const IntVec< D, T > &	v2
	)

inline

Inequality of two IntVec<D, T> objects.

Returns: true if v1 != v2, false if v1 == v2.

Definition at line 164 of file IntVec.h.

◆ operator!=() [2/3]

template<int D, typename T >

bool Pscf::operator!=	(	const IntVec< D, T > &	v1,
		const Vec< D, T > &	v2
	)

inline

Inequality of an IntVec<D> and a Vec<D, T>

Returns: true if v1 == v2, false otherwise.

Definition at line 174 of file IntVec.h.

◆ operator!=() [3/3]

template<int D, typename T >

bool Pscf::operator!=	(	const Vec< D, T > &	v1,
		const IntVec< D, T > &	v2
	)

inline

Inequality of a Vec<D, T> and an IntVec<D, T>

Returns: true if v1 == v2, false otherwise.

Definition at line 184 of file IntVec.h.

◆ operator<()

template<int D, typename T >

bool Pscf::operator<	(	const IntVec< D, T > &	v1,
		const IntVec< D, T > &	v2
	)

inline

Less than comparison for two IntVec<D, T>s.

Elements with lower array indices are treated as more signficant.

Returns: true if v1 < v2, false otherwise.

Definition at line 196 of file IntVec.h.

◆ operator<=()

template<int D, typename T >

bool Pscf::operator<=	(	const IntVec< D, T > &	v1,
		const IntVec< D, T > &	v2
	)

inline

Less than or equal to comparison for two IntVec<D, T>s.

Elements with lower array indices are more signficant digits.

Returns: true if v1 < v2, false otherwise.

Definition at line 220 of file IntVec.h.

◆ operator>()

template<int D, typename T >

bool Pscf::operator>	(	const IntVec< D, T > &	v1,
		const IntVec< D, T > &	v2
	)

inline

Greater than comparison for two IntVec<D, T>s.

Returns: true if v1 > v2, false otherwise.

Definition at line 242 of file IntVec.h.

◆ operator>=()

template<int D, typename T >

bool Pscf::operator>=	(	const IntVec< D, T > &	v1,
		const IntVec< D, T > &	v2
	)

inline

Greater than or equal to comparison for two IntVec<D, T>s.

Returns: true if v1 >= v2, false otherwise.

Definition at line 252 of file IntVec.h.

◆ operator>>() [6/7]

template<int D, typename T >

std::istream & Pscf::operator>>	(	std::istream &	in,
		RealVec< D, T > &	vector
	)

istream extractor for a RealVec<D, T>.

Input elements of a vector from stream, without line breaks.

Parameters

in	input stream
vector	RealVec<D, T> to be read from stream

Returns: modified input stream

Definition at line 89 of file RealVec.h.

◆ operator<<() [7/8]

template<int D, typename T >

std::ostream & Pscf::operator<<	(	std::ostream &	out,
		const RealVec< D, T > &	vector
	)

ostream inserter for a RealVec<D, T>.

Output a RealVec<D, T> to an ostream, without line breaks.

Output elements of a vector to stream, without line breaks.

Parameters

out	output stream
vector	RealVec<D, T> to be written to stream

Returns: modified output stream

Definition at line 108 of file RealVec.h.

◆ dot()

template<int D, typename T >

T Pscf::dot	(	Vec< D, T > const &	v1,
		Vec< D, T > const &	v2
	)

inline

Return dot product of two vectors.

Parameters

v1	first input vector
v2	second input vector

Returns: dot product v1.v2

Definition at line 285 of file Vec.h.

References Util::setToZero().

Referenced by Pscf::Pspc::FilmIterator< 2, IteratorType >::checkLatticeVectors(), and Pscf::Pspc::FilmIterator< 3, IteratorType >::checkLatticeVectors().

◆ operator+()

template<int D, typename T >

Vec< D, T > Pscf::operator+	(	Vec< D, T > const &	v1,
		Vec< D, T > const &	v2
	)

inline

Return the sum of two vectors.

Parameters

v1	first input vector
v2	second input vector

Returns: sum v1 + v2

Definition at line 304 of file Vec.h.

References Pscf::Vec< D, T >::add().

◆ operator>>() [7/7]

template<int D>

std::istream & Pscf::operator>>	(	std::istream &	in,
		Mesh< D > &	mesh
	)

Input stream extractor for reading a Mesh<D> object.

Parameters

in	input stream
mesh	Mesh<D> object to be read

Returns: modified input stream

Definition at line 245 of file Mesh.h.

◆ operator<<() [8/8]

template<int D>

std::ostream & Pscf::operator<<	(	std::ostream &	out,
		Mesh< D > const &	mesh
	)

Output stream inserter for writing a Mesh<D> object.

Parameters

out	output stream
mesh	Mesh<D> to be written

Returns: modified output stream

Definition at line 257 of file Mesh.h.

Namespaces

Classes

Functions

Detailed Description

Function Documentation

◆ operator>>() [1/7]

◆ operator<<() [1/8]

◆ operator>>() [2/7]

◆ operator<<() [2/8]

◆ operator>>() [3/7]

◆ operator<<() [3/8]

◆ serialize() [1/5]

◆ operator>>() [4/7]

◆ operator<<() [4/8]

◆ serialize() [2/5]

◆ serialize() [3/5]

◆ operator<<() [5/8]

◆ serialize() [4/5]

◆ serialize() [5/5]

◆ operator>>() [5/7]

◆ operator<<() [6/8]

◆ operator==() [1/3]

◆ operator==() [2/3]

◆ operator==() [3/3]

◆ operator!=() [1/3]

◆ operator!=() [2/3]

◆ operator!=() [3/3]

◆ operator<()

◆ operator<=()

◆ operator>()

◆ operator>=()

◆ operator>>() [6/7]

◆ operator<<() [7/8]

◆ dot()

◆ operator+()

◆ operator>>() [7/7]

◆ operator<<() [8/8]