Function space. More...

#include </home/runner/work/iganet/iganet/include/functionspace.hpp>

Inheritance diagram for iganet::detail::FunctionSpace< Spline, Boundary >:

Public Types
using	boundary_eval_type = typename Boundary::eval_type
	Boundary evaluation type.

using	boundary_type = Boundary
	Boundary type.

using	eval_type = utils::TensorArray< Spline::parDim()>
	Spline evaluation type.

using	spline_type = Spline
	Spline type.

using	value_type = typename Spline::value_type
	Value type.

Public Member Functions
	FunctionSpace ()=default
	Default constructor.

	FunctionSpace (const FunctionSpace &)=default
	Copy constructor.

	FunctionSpace (FunctionSpace &&)=default
	Move constructor.

virtual torch::Tensor	as_tensor () const noexcept
	Returns a single-tensor representation of the function space object.

virtual int64_t	as_tensor_size () const noexcept
	Returns the size of the single-tensor representation of the function space object.

template<short_t s = 0>
constexpr const boundary_type &	boundary () const noexcept
	Returns a constant reference to the \(s\)-th boundary object.

template<short_t s = 0>
constexpr boundary_type &	boundary () noexcept
	Returns a non-constant reference to the \(s\)-th boundary object object.

virtual torch::Tensor	boundary_as_tensor () const noexcept
	Returns a single-tensor representation of the boundary.

virtual int64_t	boundary_as_tensor_size () const noexcept
	Returns the size of the single-tensor representation of the boundary.

virtual FunctionSpace &	boundary_from_full_tensor (const torch::Tensor &coeffs) noexcept
	Sets the boundary from a single-tensor representation.

virtual FunctionSpace &	boundary_from_tensor (const torch::Tensor &coeffs) noexcept
	Sets the boundary from a single-tensor representation of the boundary only.

constexpr FunctionSpace	clone () const noexcept
	Returns a clone of the function space.

template<short_t... s>
constexpr auto	clone () const noexcept
	Returns a subset of the tuple of function spaces.

template<functionspace comp = functionspace::interior, deriv deriv = deriv::func, bool memory_optimized = false, typename Arg , typename... Args>
auto	eval (const Arg &arg, const Args &...args) const
	Returns the values of the spline object in the points `xi`

template<functionspace comp = functionspace::interior, deriv deriv = deriv::func, bool memory_optimized = false, typename... Args>
auto	eval_basfunc (const Args &...args) const
	Returns the values of the spline objects' basis functions in the points `xi`

template<functionspace comp = functionspace::interior, typename... Args>
auto	eval_from_precomputed (const Args &...args) const
	Returns the value of the spline object from precomputed basis function.

template<functionspace comp = functionspace::interior, bool memory_optimized = false, typename Knot_Indices >
auto	find_coeff_indices (const Knot_Indices &knot_indices) const
	Returns the indices of the spline objects' coefficients corresponding to the knot indices `indices`

template<functionspace comp = functionspace::interior, typename Xi >
auto	find_knot_indices (const Xi &xi) const
	Returns the knot indicies of knot spans containing `xi`

FunctionSpace &	from_tensor (const torch::Tensor &coeffs) noexcept
	Sets the function space object from a single-tensor representation.

FunctionSpace &	from_xml (const pugi::xml_document &doc, int id=0, std::string label="")
	Updates the function space object from XML object.

FunctionSpace &	from_xml (const pugi::xml_node &root, int id=0, std::string label="")
	Updates the function space object from XML node.

virtual void	pretty_print (std::ostream &os=Log(log::info)) const noexcept override
	Returns a string representation of the function space object.

torch::serialize::InputArchive &	read (torch::serialize::InputArchive &archive, const std::string &key="functionspace")
	Loads the function space object from a torch::serialize::InputArchive object.

auto	rotate (std::array< value_type, 3 > angle)
	Rotates the function space object by three angles in 3d.

auto	rotate (value_type angle)
	Rotates the function space object by an angle in 2d.

template<size_t N>
auto	scale (std::array< value_type, N > v)
	Scales the function space object by a vector.

auto	scale (value_type s, int dim=-1)
	Scales the function space object by a scalar.

template<short_t s = 0>
constexpr const spline_type &	space () const noexcept
	Returns a constant reference to the \(s\)-th function space.

template<short_t s = 0>
constexpr spline_type &	space () noexcept
	Returns a non-constant reference to the \(s\)-th function space.

virtual torch::Tensor	spaces_as_tensor () const noexcept
	Returns a single-tensor representation of the space.

virtual int64_t	spaces_as_tensor_size () const noexcept
	Returns the size of the single-tensor representation of the space.

virtual FunctionSpace &	spaces_from_tensor (const torch::Tensor &coeffs) noexcept
	Sets the space from a single-tensor representation.

template<typename real_t >
auto	to () const
	Returns a copy of the function space object with real_t type.

template<typename real_t >
auto	to (Options< real_t > options) const
	Returns a copy of the function space object with settings from options.

auto	to (torch::Device device) const
	Returns a copy of the function space object with settings from device.

nlohmann::json	to_json () const override
	Serialization to JSON.

pugi::xml_document	to_xml (int id=0, std::string label="") const
	Returns the function space object as XML object.

pugi::xml_node &	to_xml (pugi::xml_node &root, int id=0, std::string label="") const
	Returns the function space object as XML node.

FunctionSpace &	transform (const std::function< std::array< typename Spline::value_type, Spline::geoDim()>(const std::array< typename Spline::value_type, Spline::parDim()> &)> transformation)
	Transforms the coefficients based on the given mapping.

template<size_t N>
auto	translate (std::array< value_type, N > v)
	Translates the function space object by a vector.

auto &	uniform_refine (int numRefine=1, int dimRefine=-1)
	Returns the spline objects with uniformly refined knot and coefficient vectors.

torch::serialize::OutputArchive &	write (torch::serialize::OutputArchive &archive, const std::string &key="functionspace") const
	Writes the function space object into a torch::serialize::OutputArchive object.

Static Public Member Functions
static constexpr short_t	nboundaries () noexcept
	Returns the number of boundaries.

static constexpr short_t	nspaces () noexcept
	Returns the number of function spaces.

Protected Attributes
boundary_type	boundary_
	Boundary.

spline_type	spline_
	Spline.

Private Member Functions
template<functionspace comp = functionspace::interior, bool memory_optimized = false, std::size_t... Is, typename Knot_Indices >
auto	find_coeff_indices_ (std::index_sequence< Is... >, const Knot_Indices &knot_indices) const
	Returns the indices of the spline objects' coefficients corresponding to the knot indices `indices`

template<functionspace comp = functionspace::interior, std::size_t... Is, typename Xi >
auto	find_knot_indices_ (std::index_sequence< Is... >, const Xi &xi) const
	Returns the knot indicies of knot spans containing `xi`


Private Member Functions inherited from iganet::utils::FullQualifiedName
virtual const std::string &	name () const noexcept
	Returns the full qualified name of the object.

Additional Inherited Members
Private Attributes inherited from iganet::utils::FullQualifiedName
at::optional< std::string >	name_
	String storing the full qualified name of the object.

Detailed Description

template<typename Spline, typename Boundary>
class iganet::detail::FunctionSpace< Spline, Boundary >

Function space.

Note: This class is not meant for direct use in applications. Instead use S, TH, NE, or RT.

Member Typedef Documentation

◆ boundary_eval_type

template<typename Spline , typename Boundary >

using iganet::detail::FunctionSpace< Spline, Boundary >::boundary_eval_type = typename Boundary::eval_type

Boundary evaluation type.

◆ boundary_type

template<typename Spline , typename Boundary >

using iganet::detail::FunctionSpace< Spline, Boundary >::boundary_type = Boundary

Boundary type.

◆ eval_type

template<typename Spline , typename Boundary >

using iganet::detail::FunctionSpace< Spline, Boundary >::eval_type = utils::TensorArray<Spline::parDim()>

Spline evaluation type.

◆ spline_type

template<typename Spline , typename Boundary >

using iganet::detail::FunctionSpace< Spline, Boundary >::spline_type = Spline

Spline type.

◆ value_type

template<typename Spline , typename Boundary >

using iganet::detail::FunctionSpace< Spline, Boundary >::value_type = typename Spline::value_type

Value type.

Constructor & Destructor Documentation

◆ FunctionSpace() [1/7]

template<typename Spline , typename Boundary >

iganet::detail::FunctionSpace< Spline, Boundary >::FunctionSpace ( )

default

Default constructor.

◆ FunctionSpace() [2/7]

template<typename Spline , typename Boundary >

iganet::detail::FunctionSpace< Spline, Boundary >::FunctionSpace ( const FunctionSpace< Spline, Boundary > & )

default

Copy constructor.

◆ FunctionSpace() [3/7]

template<typename Spline , typename Boundary >

iganet::detail::FunctionSpace< Spline, Boundary >::FunctionSpace ( FunctionSpace< Spline, Boundary > && )

default

Move constructor.

◆ FunctionSpace() [4/7]

template<typename Spline , typename Boundary >

iganet::detail::FunctionSpace< Spline, Boundary >::FunctionSpace	(	const std::array< int64_t, Spline::parDim()> &	ncoeffs,
		enum init	init = `init::greville`,
		Options< value_type >	options = `iganet::Options<value_type>{}`
	)

inline

Constructor.

◆ FunctionSpace() [5/7]

template<typename Spline , typename Boundary >

iganet::detail::FunctionSpace< Spline, Boundary >::FunctionSpace	(	std::array< std::vector< value_type >, Spline::parDim()>	kv,
		enum init	init = `init::greville`,
		Options< value_type >	options = `iganet::Options<value_type>{}`
	)

inline

Constructor.

◆ FunctionSpace() [6/7]

template<typename Spline , typename Boundary >

iganet::detail::FunctionSpace< Spline, Boundary >::FunctionSpace ( const Spline & spline )

inlineexplicit

Constructor.

◆ FunctionSpace() [7/7]

template<typename Spline , typename Boundary >

iganet::detail::FunctionSpace< Spline, Boundary >::FunctionSpace ( Spline && spline )

inlineexplicit

Constructor.

Member Function Documentation

◆ as_tensor()

template<typename Spline , typename Boundary >

virtual torch::Tensor iganet::detail::FunctionSpace< Spline, Boundary >::as_tensor ( ) const

inlinevirtualnoexcept

Returns a single-tensor representation of the function space object.

Note: The default implementation behaves identical to spaces_as_tensor() but can be overridden in a derived class

◆ as_tensor_size()

template<typename Spline , typename Boundary >

virtual int64_t iganet::detail::FunctionSpace< Spline, Boundary >::as_tensor_size ( ) const

inlinevirtualnoexcept

Returns the size of the single-tensor representation of the function space object.

Note: The default implementation behaves identical to spaces_as_tensor_size() but can be overridden in a derived class

◆ boundary() [1/2]

template<typename Spline , typename Boundary >

template<short_t s = 0>

constexpr const boundary_type & iganet::detail::FunctionSpace< Spline, Boundary >::boundary ( ) const

inlineconstexprnoexcept

Returns a constant reference to the \(s\)-th boundary object.

◆ boundary() [2/2]

template<typename Spline , typename Boundary >

template<short_t s = 0>

constexpr boundary_type & iganet::detail::FunctionSpace< Spline, Boundary >::boundary ( )

inlineconstexprnoexcept

Returns a non-constant reference to the \(s\)-th boundary object object.

◆ boundary_as_tensor()

template<typename Spline , typename Boundary >

virtual torch::Tensor iganet::detail::FunctionSpace< Spline, Boundary >::boundary_as_tensor ( ) const

inlinevirtualnoexcept

Returns a single-tensor representation of the boundary.

◆ boundary_as_tensor_size()

template<typename Spline , typename Boundary >

virtual int64_t iganet::detail::FunctionSpace< Spline, Boundary >::boundary_as_tensor_size ( ) const

inlinevirtualnoexcept

Returns the size of the single-tensor representation of the boundary.

◆ boundary_from_full_tensor()

template<typename Spline , typename Boundary >

virtual FunctionSpace & iganet::detail::FunctionSpace< Spline, Boundary >::boundary_from_full_tensor ( const torch::Tensor & coeffs )

inlinevirtualnoexcept

Sets the boundary from a single-tensor representation.

◆ boundary_from_tensor()

template<typename Spline , typename Boundary >

virtual FunctionSpace & iganet::detail::FunctionSpace< Spline, Boundary >::boundary_from_tensor ( const torch::Tensor & coeffs )

inlinevirtualnoexcept

Sets the boundary from a single-tensor representation of the boundary only.

◆ clone() [1/2]

template<typename Spline , typename Boundary >

constexpr FunctionSpace iganet::detail::FunctionSpace< Spline, Boundary >::clone ( ) const

inlineconstexprnoexcept

Returns a clone of the function space.

◆ clone() [2/2]

template<typename Spline , typename Boundary >

template<short_t... s>

constexpr auto iganet::detail::FunctionSpace< Spline, Boundary >::clone ( ) const

inlineconstexprnoexcept

Returns a subset of the tuple of function spaces.

◆ eval()

template<typename Spline , typename Boundary >

template<functionspace comp = functionspace::interior, deriv deriv = deriv::func, bool memory_optimized = false, typename Arg , typename... Args>

auto iganet::detail::FunctionSpace< Spline, Boundary >::eval	(	const Arg &	arg,
		const Args &...	args
	)		const

inline

Returns the values of the spline object in the points xi

◆ eval_() [1/3]

template<typename Spline , typename Boundary >

template<functionspace comp = functionspace::interior, deriv deriv = deriv::func, bool memory_optimized = false, std::size_t... Is, typename... Xi>

auto iganet::detail::FunctionSpace< Spline, Boundary >::eval_	(	std::index_sequence< Is... >	,
		const std::tuple< Xi... > &	xi
	)		const

inlineprivate

Returns the values of the spline object in the points xi

◆ eval_() [2/3]

template<typename Spline , typename Boundary >

template<functionspace comp = functionspace::interior, deriv deriv = deriv::func, bool memory_optimized = false, std::size_t... Is, typename... Xi, typename... Knot_Indices>

auto iganet::detail::FunctionSpace< Spline, Boundary >::eval_	(	std::index_sequence< Is... >	,
		const std::tuple< Xi... > &	xi,
		const std::tuple< Knot_Indices... > &	knot_indices
	)		const

inlineprivate

Returns the values of the spline object in the points xi

◆ eval_() [3/3]

template<typename Spline , typename Boundary >

template<functionspace comp = functionspace::interior, deriv deriv = deriv::func, bool memory_optimized = false, std::size_t... Is, typename... Xi, typename... Knot_Indices, typename... Coeff_Indices>

auto iganet::detail::FunctionSpace< Spline, Boundary >::eval_	(	std::index_sequence< Is... >	,
		const std::tuple< Xi... > &	xi,
		const std::tuple< Knot_Indices... > &	knot_indices,
		const std::tuple< Coeff_Indices... > &	coeff_indices
	)		const

inlineprivate

Returns the values of the spline object in the points xi

◆ eval_basfunc()

template<typename Spline , typename Boundary >

template<functionspace comp = functionspace::interior, deriv deriv = deriv::func, bool memory_optimized = false, typename... Args>

auto iganet::detail::FunctionSpace< Spline, Boundary >::eval_basfunc ( const Args &... args ) const

inline

Returns the values of the spline objects' basis functions in the points xi

◆ eval_from_precomputed()

template<typename Spline , typename Boundary >

template<functionspace comp = functionspace::interior, typename... Args>

auto iganet::detail::FunctionSpace< Spline, Boundary >::eval_from_precomputed ( const Args &... args ) const

inline

Returns the value of the spline object from precomputed basis function.

◆ find_coeff_indices()

template<typename Spline , typename Boundary >

template<functionspace comp = functionspace::interior, bool memory_optimized = false, typename Knot_Indices >

auto iganet::detail::FunctionSpace< Spline, Boundary >::find_coeff_indices ( const Knot_Indices & knot_indices ) const

inline

Returns the indices of the spline objects' coefficients corresponding to the knot indices indices

◆ find_coeff_indices_()

template<typename Spline , typename Boundary >

template<functionspace comp = functionspace::interior, bool memory_optimized = false, std::size_t... Is, typename Knot_Indices >

auto iganet::detail::FunctionSpace< Spline, Boundary >::find_coeff_indices_	(	std::index_sequence< Is... >	,
		const Knot_Indices &	knot_indices
	)		const

inlineprivate

Returns the indices of the spline objects' coefficients corresponding to the knot indices indices

◆ find_knot_indices()

template<typename Spline , typename Boundary >

template<functionspace comp = functionspace::interior, typename Xi >

auto iganet::detail::FunctionSpace< Spline, Boundary >::find_knot_indices ( const Xi & xi ) const

inline

Returns the knot indicies of knot spans containing xi

◆ find_knot_indices_()

template<typename Spline , typename Boundary >

template<functionspace comp = functionspace::interior, std::size_t... Is, typename Xi >

auto iganet::detail::FunctionSpace< Spline, Boundary >::find_knot_indices_	(	std::index_sequence< Is... >	,
		const Xi &	xi
	)		const

inlineprivate

Returns the knot indicies of knot spans containing xi

◆ from_tensor()

template<typename Spline , typename Boundary >

FunctionSpace & iganet::detail::FunctionSpace< Spline, Boundary >::from_tensor ( const torch::Tensor & coeffs )

inlinenoexcept

Sets the function space object from a single-tensor representation.

◆ from_xml() [1/2]

template<typename Spline , typename Boundary >

FunctionSpace & iganet::detail::FunctionSpace< Spline, Boundary >::from_xml	(	const pugi::xml_document &	doc,
		int	id = `0`,
		std::string	label = `""`
	)

inline

Updates the function space object from XML object.

◆ from_xml() [2/2]

template<typename Spline , typename Boundary >

FunctionSpace & iganet::detail::FunctionSpace< Spline, Boundary >::from_xml	(	const pugi::xml_node &	root,
		int	id = `0`,
		std::string	label = `""`
	)

inline

Updates the function space object from XML node.

◆ nboundaries()

template<typename Spline , typename Boundary >

static constexpr short_t iganet::detail::FunctionSpace< Spline, Boundary >::nboundaries ( )

inlinestaticconstexprnoexcept

Returns the number of boundaries.

◆ nspaces()

template<typename Spline , typename Boundary >

static constexpr short_t iganet::detail::FunctionSpace< Spline, Boundary >::nspaces ( )

inlinestaticconstexprnoexcept

Returns the number of function spaces.

◆ pretty_print()

template<typename Spline , typename Boundary >

virtual void iganet::detail::FunctionSpace< Spline, Boundary >::pretty_print ( std::ostream & os = Log(log::info) ) const

inlineoverridevirtualnoexcept

Returns a string representation of the function space object.

Implements iganet::utils::Serializable.

◆ read()

template<typename Spline , typename Boundary >

torch::serialize::InputArchive & iganet::detail::FunctionSpace< Spline, Boundary >::read	(	torch::serialize::InputArchive &	archive,
		const std::string &	key = `"functionspace"`
	)

inline

Loads the function space object from a torch::serialize::InputArchive object.

◆ rotate() [1/2]

template<typename Spline , typename Boundary >

auto iganet::detail::FunctionSpace< Spline, Boundary >::rotate ( std::array< value_type, 3 > angle )

inline

Rotates the function space object by three angles in 3d.

◆ rotate() [2/2]

template<typename Spline , typename Boundary >

auto iganet::detail::FunctionSpace< Spline, Boundary >::rotate ( value_type angle )

inline

Rotates the function space object by an angle in 2d.

◆ scale() [1/2]

template<typename Spline , typename Boundary >

template<size_t N>

auto iganet::detail::FunctionSpace< Spline, Boundary >::scale ( std::array< value_type, N > v )

inline

Scales the function space object by a vector.

◆ scale() [2/2]

template<typename Spline , typename Boundary >

auto iganet::detail::FunctionSpace< Spline, Boundary >::scale	(	value_type	s,
		int	dim = `-1`
	)

inline

Scales the function space object by a scalar.

◆ space() [1/2]

template<typename Spline , typename Boundary >

template<short_t s = 0>

constexpr const spline_type & iganet::detail::FunctionSpace< Spline, Boundary >::space ( ) const

inlineconstexprnoexcept

Returns a constant reference to the \(s\)-th function space.

◆ space() [2/2]

template<typename Spline , typename Boundary >

template<short_t s = 0>

constexpr spline_type & iganet::detail::FunctionSpace< Spline, Boundary >::space ( )

inlineconstexprnoexcept

Returns a non-constant reference to the \(s\)-th function space.

◆ spaces_as_tensor()

template<typename Spline , typename Boundary >

virtual torch::Tensor iganet::detail::FunctionSpace< Spline, Boundary >::spaces_as_tensor ( ) const

inlinevirtualnoexcept

Returns a single-tensor representation of the space.

◆ spaces_as_tensor_size()

template<typename Spline , typename Boundary >

virtual int64_t iganet::detail::FunctionSpace< Spline, Boundary >::spaces_as_tensor_size ( ) const

inlinevirtualnoexcept

Returns the size of the single-tensor representation of the space.

◆ spaces_from_tensor()

template<typename Spline , typename Boundary >

virtual FunctionSpace & iganet::detail::FunctionSpace< Spline, Boundary >::spaces_from_tensor ( const torch::Tensor & coeffs )

inlinevirtualnoexcept

Sets the space from a single-tensor representation.

◆ to() [1/3]

template<typename Spline , typename Boundary >

template<typename real_t >

auto iganet::detail::FunctionSpace< Spline, Boundary >::to ( ) const

inline

Returns a copy of the function space object with real_t type.

◆ to() [2/3]

template<typename Spline , typename Boundary >

template<typename real_t >

auto iganet::detail::FunctionSpace< Spline, Boundary >::to ( Options< real_t > options ) const

inline

Returns a copy of the function space object with settings from options.

◆ to() [3/3]

template<typename Spline , typename Boundary >

auto iganet::detail::FunctionSpace< Spline, Boundary >::to ( torch::Device device ) const

inline

Returns a copy of the function space object with settings from device.

◆ to_json()

template<typename Spline , typename Boundary >

nlohmann::json iganet::detail::FunctionSpace< Spline, Boundary >::to_json ( ) const

inlineoverridevirtual

Serialization to JSON.

Implements iganet::utils::Serializable.

◆ to_xml() [1/2]

template<typename Spline , typename Boundary >

pugi::xml_document iganet::detail::FunctionSpace< Spline, Boundary >::to_xml	(	int	id = `0`,
		std::string	label = `""`
	)		const

inline

Returns the function space object as XML object.

◆ to_xml() [2/2]

template<typename Spline , typename Boundary >

pugi::xml_node & iganet::detail::FunctionSpace< Spline, Boundary >::to_xml	(	pugi::xml_node &	root,
		int	id = `0`,
		std::string	label = `""`
	)		const

inline

Returns the function space object as XML node.

◆ transform()

template<typename Spline , typename Boundary >

FunctionSpace & iganet::detail::FunctionSpace< Spline, Boundary >::transform ( const std::function< std::array< typename Spline::value_type, Spline::geoDim()>(const std::array< typename Spline::value_type, Spline::parDim()> &)> transformation )

inline

Transforms the coefficients based on the given mapping.

◆ translate()

template<typename Spline , typename Boundary >

template<size_t N>

auto iganet::detail::FunctionSpace< Spline, Boundary >::translate ( std::array< value_type, N > v )

inline

Translates the function space object by a vector.

◆ uniform_refine()

template<typename Spline , typename Boundary >

auto & iganet::detail::FunctionSpace< Spline, Boundary >::uniform_refine	(	int	numRefine = `1`,
		int	dimRefine = `-1`
	)

inline

Returns the spline objects with uniformly refined knot and coefficient vectors.

◆ write()

template<typename Spline , typename Boundary >

torch::serialize::OutputArchive & iganet::detail::FunctionSpace< Spline, Boundary >::write	(	torch::serialize::OutputArchive &	archive,
		const std::string &	key = `"functionspace"`
	)		const

inline

Writes the function space object into a torch::serialize::OutputArchive object.

Member Data Documentation

◆ boundary_

template<typename Spline , typename Boundary >

boundary_type iganet::detail::FunctionSpace< Spline, Boundary >::boundary_

protected

Boundary.

◆ spline_

template<typename Spline , typename Boundary >

spline_type iganet::detail::FunctionSpace< Spline, Boundary >::spline_

protected

Spline.

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

include/functionspace.hpp

Public Types

Public Member Functions

Static Public Member Functions

Protected Attributes

Private Member Functions

Additional Inherited Members

Detailed Description

Member Typedef Documentation

◆ boundary_eval_type

◆ boundary_type

◆ eval_type

◆ spline_type

◆ value_type

Constructor & Destructor Documentation

◆ FunctionSpace() [1/7]

◆ FunctionSpace() [2/7]

◆ FunctionSpace() [3/7]

◆ FunctionSpace() [4/7]

◆ FunctionSpace() [5/7]

◆ FunctionSpace() [6/7]

◆ FunctionSpace() [7/7]

Member Function Documentation

◆ as_tensor()

◆ as_tensor_size()

◆ boundary() [1/2]

◆ boundary() [2/2]

◆ boundary_as_tensor()

◆ boundary_as_tensor_size()

◆ boundary_from_full_tensor()

◆ boundary_from_tensor()

◆ clone() [1/2]

◆ clone() [2/2]

◆ eval()

◆ eval_() [1/3]

◆ eval_() [2/3]

◆ eval_() [3/3]

◆ eval_basfunc()

◆ eval_from_precomputed()

◆ find_coeff_indices()

◆ find_coeff_indices_()

◆ find_knot_indices()

◆ find_knot_indices_()

◆ from_tensor()

◆ from_xml() [1/2]

◆ from_xml() [2/2]

◆ nboundaries()

◆ nspaces()

◆ pretty_print()

◆ read()

◆ rotate() [1/2]

◆ rotate() [2/2]

◆ scale() [1/2]

◆ scale() [2/2]

◆ space() [1/2]

◆ space() [2/2]

◆ spaces_as_tensor()

◆ spaces_as_tensor_size()

◆ spaces_from_tensor()

◆ to() [1/3]

◆ to() [2/3]

◆ to() [3/3]

◆ to_json()

◆ to_xml() [1/2]

◆ to_xml() [2/2]

◆ transform()

◆ translate()

◆ uniform_refine()

◆ write()

Member Data Documentation

◆ boundary_

◆ spline_