Differentiation::AD::internal Namespace Reference

Classes
struct	ADNumberInfoFromEnum
struct	ExtractData
struct	Extractor
struct	Extractor< dim, FEValuesExtractors::Scalar >
struct	Extractor< dim, FEValuesExtractors::SymmetricTensor< 2 > >
struct	Extractor< dim, FEValuesExtractors::Tensor< 1 > >
struct	Extractor< dim, FEValuesExtractors::Tensor< 2 > >
struct	Extractor< dim, FEValuesExtractors::Vector >
struct	HasRequiredADInfo
struct	HessianType
struct	HessianType< FEValuesExtractors::Scalar, FEValuesExtractors::SymmetricTensor< 2 > >
struct	HessianType< FEValuesExtractors::SymmetricTensor< 2 >, FEValuesExtractors::Scalar >
struct	HessianType< FEValuesExtractors::SymmetricTensor< 2 >, FEValuesExtractors::SymmetricTensor< 2 > >
struct	Marking
struct	NumberType
struct	RemoveComplexWrapper
struct	SacadoNumberInfo
struct	ScalarFieldGradient
struct	ScalarFieldHessian

Typedefs
template<int dim, typename NumberType , typename ExtractorType_Field >
using	VectorFieldValue = ScalarFieldGradient< dim, NumberType, ExtractorType_Field >
template<int dim, typename NumberType , typename ExtractorType_Field , typename ExtractorType_Derivative >
using	VectorFieldJacobian = ScalarFieldHessian< dim, NumberType, ExtractorType_Field, ExtractorType_Derivative >

Functions
template<int dim, typename IndexType = unsigned int, typename ExtractorType >
std::vector< IndexType >	extract_field_component_indices (const ExtractorType &extractor, const bool ignore_symmetries=true)
template<int dim, typename IndexType = unsigned int>
std::vector< IndexType >	extract_field_component_indices (const FEValuesExtractors::SymmetricTensor< 2 > &extractor_symm_tensor, const bool ignore_symmetries=true)
template<typename TensorType , typename NumberType >
void	set_tensor_entry (TensorType &t, const unsigned int unrolled_index, const NumberType &value)
template<int dim, typename NumberType >
void	set_tensor_entry (Tensor< 0, dim, NumberType > &t, const unsigned int unrolled_index, const NumberType &value)
template<typename NumberType >
void	set_tensor_entry (NumberType &t, const unsigned int unrolled_index, const NumberType &value)
template<int dim, typename NumberType >
void	set_tensor_entry (SymmetricTensor< 4, dim, NumberType > &t, const unsigned int unrolled_index_row, const unsigned int unrolled_index_col, const NumberType &value)
template<int rank, int dim, typename NumberType , template< int, int, typename > class TensorType>
NumberType	get_tensor_entry (const TensorType< rank, dim, NumberType > &t, const unsigned int unrolled_index)
template<int dim, typename NumberType , template< int, int, typename > class TensorType>
NumberType	get_tensor_entry (const TensorType< 0, dim, NumberType > &t, const unsigned int unrolled_index)
template<typename NumberType >
const NumberType &	get_tensor_entry (const NumberType &t, const unsigned int unrolled_index)
template<int rank, int dim, typename NumberType , template< int, int, typename > class TensorType>
NumberType &	get_tensor_entry (TensorType< rank, dim, NumberType > &t, const unsigned int unrolled_index)
template<int dim, typename NumberType , template< int, int, typename > class TensorType>
NumberType &	get_tensor_entry (TensorType< 0, dim, NumberType > &t, const unsigned int index)
template<typename NumberType >
NumberType &	get_tensor_entry (NumberType &t, const unsigned int index)
template<typename ADNumberType >
std::enable_if_t<!(ADNumberTraits< ADNumberType >::type_code==NumberTypes::sacado_rad||ADNumberTraits< ADNumberType >::type_code==NumberTypes::sacado_rad_dfad)>	reverse_mode_dependent_variable_activation (ADNumberType &)
template<typename ADNumberType >
std::enable_if_t< ADNumberTraits< ADNumberType >::type_code==NumberTypes::sacado_rad||ADNumberTraits< ADNumberType >::type_code==NumberTypes::sacado_rad_dfad >	reverse_mode_dependent_variable_activation (ADNumberType &dependent_variable)
template<typename ADNumberType >
std::enable_if_t<!(ADNumberTraits< ADNumberType >::type_code==NumberTypes::adolc_tapeless)>	configure_tapeless_mode (const unsigned int)
template<typename ADNumberType >
std::enable_if_t< ADNumberTraits< ADNumberType >::type_code==NumberTypes::adolc_tapeless >	configure_tapeless_mode (const unsigned int n_directional_derivatives)

Detailed Description

This namespace defines the classes that help provide a unified interface to all auto-differentiation numbers.

Typedef Documentation

VectorFieldValue

template<int dim, typename NumberType , typename ExtractorType_Field >

using Differentiation::AD::internal::VectorFieldValue = typedef ScalarFieldGradient<dim, NumberType, ExtractorType_Field>

A helper struct that defines the return type of value computations of vector fields the ExtractorType_Field template parameter.

Definition at line 2323 of file ad_helpers.h.

VectorFieldJacobian

template<int dim, typename NumberType , typename ExtractorType_Field , typename ExtractorType_Derivative >

using Differentiation::AD::internal::VectorFieldJacobian = typedef ScalarFieldHessian<dim, NumberType, ExtractorType_Field, ExtractorType_Derivative>

A helper struct that defines the final return type of Jacobian (first derivative) calculations of vector fields with respect to fields as defined by the two extractor-type template parameters. The first, ExtractorType_Field, defines the field from which the initial field values are computed while the second, ExtractorType_Derivative, defines the field that the derivatives are taken with respect to.

Definition at line 2340 of file ad_helpers.h.

Function Documentation

extract_field_component_indices() [1/2]

template<int dim, typename IndexType = unsigned int, typename ExtractorType >

std::vector< IndexType > Differentiation::AD::internal::extract_field_component_indices	(	const ExtractorType &	extractor,
		const bool	ignore_symmetries = true
	)

Return a global view of the field component indices that correspond to the input extractor. For this general function the ignore_symmetries flag has no effect.

Definition at line 2355 of file ad_helpers.h.

extract_field_component_indices() [2/2]

template<int dim, typename IndexType = unsigned int>

std::vector< IndexType > Differentiation::AD::internal::extract_field_component_indices	(	const FEValuesExtractors::SymmetricTensor< 2 > &	extractor_symm_tensor,
		const bool	ignore_symmetries = true
	)

Return a global view of the field component indices that correspond to the input FEValuesExtractors::SymmetricTensor extractor_symm_tensor. If the ignore_symmetries is set true, then all component of the tensor are considered to be independent. If set to false, then the set of returned indices will contain duplicate entries for components that are symmetric.

Definition at line 2379 of file ad_helpers.h.

set_tensor_entry() [1/4]

template<typename TensorType , typename NumberType >

void Differentiation::AD::internal::set_tensor_entry ( TensorType &  t, const unsigned int  unrolled_index, const NumberType &  value  )

inline

Set the unrolled component given by index in the generic tensor t to the given value.

Definition at line 2435 of file ad_helpers.h.

set_tensor_entry() [2/4]

template<int dim, typename NumberType >

void Differentiation::AD::internal::set_tensor_entry ( Tensor< 0, dim, NumberType > &  t, const unsigned int  unrolled_index, const NumberType &  value  )

inline

Set the unrolled component given by index in the rank-0 tensor t to the given value.

Definition at line 2451 of file ad_helpers.h.

set_tensor_entry() [3/4]

template<typename NumberType >

void Differentiation::AD::internal::set_tensor_entry ( NumberType &  t, const unsigned int  unrolled_index, const NumberType &  value  )

inline

Set the value of t to the given value. This function exists to provide compatibility with similar functions that exist for use with the tensor classes.

Definition at line 2468 of file ad_helpers.h.

set_tensor_entry() [4/4]

template<int dim, typename NumberType >

void Differentiation::AD::internal::set_tensor_entry ( SymmetricTensor< 4, dim, NumberType > &  t, const unsigned int  unrolled_index_row, const unsigned int  unrolled_index_col, const NumberType &  value  )

inline

Set the unrolled component given by the index_row and the index_col in the fourth-order symmetric tensor t to the given value.

Definition at line 2485 of file ad_helpers.h.

get_tensor_entry() [1/6]

template<int rank, int dim, typename NumberType , template< int, int, typename > class TensorType>

NumberType Differentiation::AD::internal::get_tensor_entry ( const TensorType< rank, dim, NumberType > &  t, const unsigned int  unrolled_index  )

inline

Return the value of the index'th unrolled component of the generic tensor t.

Definition at line 2516 of file ad_helpers.h.

get_tensor_entry() [2/6]

template<int dim, typename NumberType , template< int, int, typename > class TensorType>

NumberType Differentiation::AD::internal::get_tensor_entry ( const TensorType< 0, dim, NumberType > &  t, const unsigned int  unrolled_index  )

inline

Return the value of the index'th unrolled component of the rank-0 tensor t.

Definition at line 2535 of file ad_helpers.h.

get_tensor_entry() [3/6]

template<typename NumberType >

const NumberType & Differentiation::AD::internal::get_tensor_entry ( const NumberType &  t, const unsigned int  unrolled_index  )

inline

Return the value of t. This function exists to provide compatibility with similar functions that exist for use with the tensor classes.

Definition at line 2551 of file ad_helpers.h.

get_tensor_entry() [4/6]

template<int rank, int dim, typename NumberType , template< int, int, typename > class TensorType>

NumberType & Differentiation::AD::internal::get_tensor_entry ( TensorType< rank, dim, NumberType > &  t, const unsigned int  unrolled_index  )

inline

Return a reference to the entry stored in the index'th unrolled component of the generic tensor t.

Definition at line 2569 of file ad_helpers.h.

get_tensor_entry() [5/6]

template<int dim, typename NumberType , template< int, int, typename > class TensorType>

NumberType & Differentiation::AD::internal::get_tensor_entry	(	TensorType< 0, dim, NumberType > &	t,
		const unsigned int	index
	)

Return a reference to the entry stored in the index'th unrolled component of the rank-0 tensor t.

Definition at line 2588 of file ad_helpers.h.

get_tensor_entry() [6/6]

template<typename NumberType >

NumberType & Differentiation::AD::internal::get_tensor_entry ( NumberType &  t, const unsigned int  index  )

inline

Return a reference to t. This function exists to provide compatibility with similar functions that exist for use with the tensor classes.

Definition at line 2604 of file ad_helpers.h.

reverse_mode_dependent_variable_activation() [1/2]

template<typename ADNumberType >

std::enable_if_t<!(ADNumberTraits< ADNumberType >::type_code== NumberTypes::sacado_rad|| ADNumberTraits< ADNumberType >::type_code== NumberTypes::sacado_rad_dfad)> Differentiation::AD::internal::reverse_mode_dependent_variable_activation

(

ADNumberType &

)

A dummy function to define the active dependent variable when using reverse-mode AD.

Definition at line 1526 of file ad_drivers.cc.

reverse_mode_dependent_variable_activation() [2/2]

template<typename ADNumberType >

std::enable_if_t< ADNumberTraits< ADNumberType >::type_code==NumberTypes::sacado_rad|| ADNumberTraits< ADNumberType >::type_code==NumberTypes::sacado_rad_dfad > Differentiation::AD::internal::reverse_mode_dependent_variable_activation

(

ADNumberType &

dependent_variable

)

Define the active dependent variable when using reverse-mode AD.

If there are multiple dependent variables then it is necessary to inform the independent variables, from which the adjoints are computed, which dependent variable they are computing the gradients with respect to. This function broadcasts this information.

Definition at line 1544 of file ad_drivers.cc.

configure_tapeless_mode() [1/2]

template<typename ADNumberType >

std::enable_if_t<!(ADNumberTraits< ADNumberType >::type_code== NumberTypes::adolc_tapeless)> Differentiation::AD::internal::configure_tapeless_mode

(

const unsigned int

)

A dummy function to enable vector mode for tapeless auto-differentiable numbers.

Definition at line 1568 of file ad_drivers.cc.

configure_tapeless_mode() [2/2]

template<typename ADNumberType >

std::enable_if_t< ADNumberTraits< ADNumberType >::type_code== NumberTypes::adolc_tapeless > Differentiation::AD::internal::configure_tapeless_mode

(

const unsigned int

n_directional_derivatives

)

Enable vector mode for ADOL-C tapeless numbers.

This function checks to see if its legal to increase the maximum number of directional derivatives to be considered during calculations. If not then it throws an error.

Definition at line 1585 of file ad_drivers.cc.