CoDiPack - Code Differentiation Package. More...

Namespaces
namespace	AtomicTraits
	Traits for atomic types.

namespace	Config
	Configuration options for CoDiPack.

namespace	EventHints

namespace	ExpressionTraits
	Traits for everything that can be an expression e.g. codi::RealReverse, a + b, etc..

namespace	GradientTraits

namespace	RealTraits
	Traits for values that can be used as real values e.g. double, float, codi::RealReverse etc..

namespace	TapeTraits

Classes
struct	ActiveArgumentPointerStore
	Declares all variables that may be needed to store/restore an active argument which has a pointer type. More...

struct	ActiveArgumentStoreInterface
	Interface for restored data for an argument. The functions should return a compatible type that can be forwarded to the primal evaluation and the gradient computation. More...

struct	ActiveArgumentStoreTraits
	Traits for storing active arguments in byte streams. More...

struct	ActiveArgumentValueStore
	Declares all variables that may be needed to store/restore an active argument which has a value type. More...

struct	ActiveType
	Represents a concrete lvalue in the CoDiPack expression tree. More...

struct	ActiveTypeBase
	Represents the base implementation concrete lvalue in the CoDiPack expression tree. More...

struct	ActiveTypeStatelessTape
	Represents a concrete lvalue in the CoDiPack expression tree. More...

struct	ActiveTypeWrapper
	Creates a pseudo active type from data references. Can be used to overlay existing data with active types. More...

struct	AdjointVectorAccess
	Implementation of VectorAccessInterface for adjoint vectors. More...

struct	AggregatedTypeVectorAccessWrapper
	Generalized wrapper of the VectorAccessInterface for aggregated data types, e.g. std::complex<codi::RealReverse>. More...

struct	AggregatedTypeVectorAccessWrapperBase
	Implements all methods from AggregatedTypeVectorAccessWrapper, that can be implemented with combinations of other methods. More...

struct	AggregatedTypeVectorAccessWrapperFactory
	Factory for the creation of AggregatedTypeVectorAccessWrapper instances. More...

struct	Algorithms
	Basic algorithms for tape evaluation in CoDiPack. More...

struct	ArrayPosition
	Position with one index for e.g. array access. More...

struct	AssignmentOperators
	Implementation of assignment operators for LhsExpressionInterface implementations. More...

struct	AtomicInterface
	Provides a data type on which operations are performed atomically. More...

struct	BinaryExpression
	Represents an operator with two arguments in the expression tree. More...

struct	BinaryOperation
	Interface for implementing the logic for a BinaryExpression. More...

struct	BlockData
	Data is stored in one contiguous block in this DataInterface implementation. More...

struct	ByteDataView

struct	Chunk1

struct	Chunk2

struct	Chunk3

struct	Chunk4

struct	ChunkBase
	A chunk stores a contiguous block of data in CoDiPack. More...

struct	ChunkedData
	Data is stored chunk-wise in this DataInterface implementation. If a chunk runs out of space, a new chunk is allocated. More...

struct	ChunkPosition
	Position with two indices for e.g. chunked data access. More...

struct	CODI_UNION< First >
	Creates a union of interface definitions. More...

struct	CoDiMpiTypes
	MPI datatype implementation for CoDipack types in the type wrapper of MeDiPack. More...

struct	CommonTapeImplementation
	Implementation of all common tape functionality. More...

struct	CommonTapeTypes
	Declares all types used in the CommonTapeImplementation. More...

struct	CompileTimeLoop
	Compile time loop evaluation. More...

struct	CompileTimeLoop< 0 >
	Termination of loop evaluation. More...

struct	CompileTimeTraversalLogic
	Traversal of CoDiPack expressions during compile time. More...

struct	ConstantDataConversion

struct	ConstantExpression
	Represents constant values in the expression tree. More...

struct	ConstructStaticContextLogic
	Helper class for the construction of an expression in a different context. More...

struct	ConstructVectorImpl

struct	ConstructVectorImpl< std::array< T_T, T_n > >

struct	CustomAdjointVectorEvaluationTapeInterface
	Allows user defined vectors for the forward and adjoint evaluation. More...

struct	CustomAdjointVectorHelper
	Allows for an arbitrary adjoint evaluation of a recorded tape. More...

struct	CustomAdjointVectorInterface
	General interface for an arbitrary adjoint evaluation. More...

struct	DataInterface
	Data stream interface for tape data. Encapsulates data that is written e.g. for each statement or argument. More...

struct	DataManagementTapeInterface
	Provides file IO, information about internal tape vectors and allows to clear tape data. More...

struct	DefaultSynchronization
	Default implementation of SynchronizationInterface for serial applications. More...

struct	DefaultThreadInformation
	Default implementation of ThreadInformationInterface for serial applications. More...

struct	DerivativeAccess
	A helper class for the access of the various derivatives in higher order AD types. More...

struct	Direction
	Fixed size vector mode implementation. More...

struct	DirectStatementEvaluator
	Full evaluation of the expression in the function handle. Storing in static context. More...

struct	DirectStatementEvaluatorStaticStore

struct	DummyHessian
	Dummy Hessian. Has size zero and no logic in any call. More...

struct	DummyJacobian
	Dummy Jacobian. Has size zero and no logic in any call. More...

struct	DummyValue
	Dummy value that can be assigned. More...

struct	DummyVector
	Dummy vector that provides a dummy element access and size function. More...

struct	DuplicateJacobianRemover
	Combines entries of Jacobians with the same identifier. More...

struct	EditingTapeInterface
	Edit tapes after they have been recorded. More...

struct	EigenLinearSystem

struct	EigenLinearSystemTypes
	Eigen definition for the LinearSystemInterfaceTypes. More...

struct	EmptyData
	No data is stored in this DataInterface implementation. It is used to terminate the recursive nature of the DataInterface design. More...

struct	EmptyPosition
	Empty Position with no nested data. More...

struct	EnumBitset
	A bitset with enum items as flags. More...

struct	EnzymeExternalFunctionHelper
	Helper class for the implementation of an external function with Enzyme in CoDiPack. More...

struct	EvaluationHandle
	See EvaluationHandleBase. More...

struct	EvaluationHandle< T_Func, T_Type, T_InputStore, T_OutputStore, TapeTraits::EnableIfForwardTape< typename T_Type::Tape > >
	See EvaluationHandleForward. More...

struct	EvaluationHandle< T_Func, T_Type, T_InputStore, T_OutputStore, TapeTraits::EnableIfJacobianTape< typename T_Type::Tape > >
	See EvaluationHandleReverseJacobianTapes. More...

struct	EvaluationHandle< T_Func, T_Type, T_InputStore, T_OutputStore, TapeTraits::EnableIfPrimalValueTape< typename T_Type::Tape > >
	See EvaluationHandleReversePrimalValueTapes. More...

struct	EvaluationHandleBase
	Basic interface and data storage for all EvaluationHandle implementations. More...

struct	EvaluationHandleForward

struct	EvaluationHandleReverseBase
	Implementation for reverse mode CoDiPack types of EvaluationHandleBase. More...

struct	EvaluationHandleReverseJacobianTapes
	Implementation for Jacobian reverse mode CoDiPack types of EvaluationHandleBase. More...

struct	EvaluationHandleReversePrimalValueTapes
	Implementation of EvaluationHandleBase for primal value reverse mode CoDiPack types. More...

struct	EvaluationHelper
	Evaluate the primal, Jacobian and Hessian of function objects. More...

struct	EventSystem
	Full EventSystem implementation for reverse tapes. More...

struct	EventSystem< ForwardEvaluation< Real, Gradient > >
	Specialization for ForwardEvaluation. More...

struct	EventSystemBase
	Base class for the CoDiPack event system. More...

struct	ExpressionInterface
	Base class for all CoDiPack expressions. More...

struct	ExternalFunction
	User-defined evaluation functions for the taping process. More...

struct	ExternalFunctionHelper
	Helper class for the implementation of an external function in CoDiPack. More...

struct	ExternalFunctionInternalData
	Internal untyped data for an external function. More...

struct	ExternalFunctionLowLevelEntryMapper
	Low level function entry implementation for external functions. More...

struct	ExternalFunctionTapeInterface
	Add user defined functions to the tape evaluation. More...

struct	ExternalFunctionUserData
	Ease of access structure for user-provided data on the tape for external functions. See ExternalFunctionTapeInterface. More...

struct	ExtFunc_matrixMatrixMultiplication
	Low level function generation for matrixMatrixMultiplication. More...

struct	FileIo
	Helper structure for writing binary data. More...

struct	ForEachLeafLogic
	Implement logic for leaf nodes only. More...

struct	ForwardEvaluation
	Implementation of a tape-free forward AD mode through the internal expression interfaces. More...

struct	ForwardEvaluationTapeInterface
	Forward AD evaluation of a recorded tape. More...

struct	FullTapeInterface
	Full tape interface that supports all features of CoDiPack. More...

struct	GradientAccessTapeInterface
	Allow for a direct access to the gradient information computed by the tape. More...

struct	Hessian
	Default implementation of the Hessian interface. More...

struct	HessianInterface
	General interface for Hessian access in CoDiPack. More...

struct	IdentifierInformationTapeInterface
	General information about the identifiers and checks if variables are active. More...

struct	ImmutableActiveType
	Creates a pseudo active type from a data value. Can be used to overlay existing data with immutable active types. More...

struct	IncrementOperators
	Implementation of increment operators for LhsExpressionInterface implementations. More...

struct	IndexManagerInterface
	Indices enable the mapping of primal values to their adjoint counterparts. More...

struct	InnerPrimalTapeStatementData
	Additional data required by an InnerStatementEvaluator. More...

struct	InnerStatementEvaluator
	Expression evaluation in the inner function. Data loading in the compilation context of the tape. Storing in static context. More...

struct	InnerStatementEvaluatorStaticStore

struct	InternalAdjointsInterface
	Abstracts the internal set of adjoint variables provided as part of the tape. More...

struct	InternalStatementRecordingTapeInterface
	Internal tape interface that is used by active types to trigger the storing of an expression. More...

struct	IoException
	IoException for CoDiPack. More...

struct	Jacobian
	Default implementation of the Jacobian interface. More...

struct	JacobianBaseTape
	Base class for all standard Jacobian tape implementations. More...

struct	JacobianComputationLogic

struct	JacobianConvertWrapper
	Wrapper for JacboianInterfaces that requires a passive value conversion. More...

struct	JacobianCountNonZerosRow
	Adds counting of nonzero entries. More...

struct	JacobianDelayAccessor

struct	JacobianExpression
	Specialized for NumberOfActiveTypeArguments and NumberOfConstantTypeArguments. More...

struct	JacobianInterface
	General interface for Jacobian access in CoDiPack. More...

struct	JacobianLinearTape
	Final implementation for a Jacobian tape with a linear index management. More...

struct	JacobianReuseTape
	Final implementation for a Jacobian tape with a reuse index management. More...

struct	JacobianTapeTypes
	Type definitions for the Jacobian tapes. More...

struct	LhsExpressionInterface
	Base class for all CoDiPack lvalue expression. More...

struct	LinearIndexManager
	Identifiers are created in a linear fashion. Each assign creates a new index which is counted up. More...

struct	LinearSystemInterface

struct	LinearSystemInterfaceTypes

struct	LinearSystemSolverHandler

struct	LinearSystemSpecializationDetection

struct	LocalAdjoints
	Adjoint variables owned by a tape instance. More...

struct	Lock
	RAII mutex locking. More...

struct	LockForRead
	RAII lock for read. ´ More...

struct	LockForWrite
	RAII lock for write. More...

struct	LowLevelFunctionCreationUtilities
	Helper structure for storing low level functions and their arguments on a tape. More...

struct	LowLevelFunctionEntry
	Low level function entry on the tape. See LowLevelFunctionTapeInterface for details. More...

struct	LowLevelFunctionTapeInterface
	Add functions with custom derivatives to the tape. Can, e.g, be used to optimize small recurring functions like matrix matrix multiplication. More...

struct	ManualStatementPushTapeInterface
	Add derivative information for custom operations to the tape. More...

struct	MemberStore
	Defines a member that can either be static or local to the struct. More...

struct	MemberStore< T_Type, T_Parent, true >
	Defines a member that can either be static or local to the struct. More...

struct	MultiUseIndexManager
	Extends the ReuseIndexManager with a copy optimization. More...

struct	MutexInterface
	Abstracts a mutex. More...

struct	Namespace
	CoDiPack - Code Differentiation Package.

struct	NodeInterface
	Node side interface for the traversal of expressions. More...

struct	OpenMPAtomicImpl
	Atomic implementation for OpenMP. More...

struct	OpenMPMutex
	Mutex implementation for OpenMP. More...

struct	OpenMPStaticThreadLocalPointer
	Static thread-local pointers for OpenMP. More...

struct	OpenMPSynchronization
	OpenMP synchronization facilities. More...

struct	OpenMPThreadInformation
	Thread information for OpenMP. More...

struct	OperationAbs
	UnaryOperation implementation for abs. More...

struct	OperationAcos
	UnaryOperation implementation for acos. More...

struct	OperationAdd
	BinaryOperation implementation for operator +. More...

struct	OperationAsin
	UnaryOperation implementation for asin. More...

struct	OperationAtan
	UnaryOperation implementation for atan. More...

struct	OperationAtan2
	BinaryOperation implementation for atan2. More...

struct	OperationAtanh
	UnaryOperation implementation for atanh. More...

struct	OperationCbrt
	UnaryOperation implementation for cbrt. More...

struct	OperationCopysign
	BinaryOperation implementation for copysign. More...

struct	OperationCos
	UnaryOperation implementation for cos. More...

struct	OperationCosh
	UnaryOperation implementation for cosh. More...

struct	OperationDivide
	BinaryOperation implementation for operator /. More...

struct	OperationErf
	UnaryOperation implementation for erf. More...

struct	OperationErfc
	UnaryOperation implementation for erfc. More...

struct	OperationExp
	UnaryOperation implementation for exp. More...

struct	OperationFmod
	BinaryOperation implementation for fmod. More...

struct	OperationFrexp
	BinaryOperation implementation for frexp. More...

struct	OperationHypot
	BinaryOperation implementation for hypot. More...

struct	OperationLdexp
	BinaryOperation implementation for ldexp. More...

struct	OperationLog
	UnaryOperation implementation for log. More...

struct	OperationLog10
	UnaryOperation implementation for log10. More...

struct	OperationMax
	BinaryOperation implementation for max. More...

struct	OperationMin
	BinaryOperation implementation for min. More...

struct	OperationMultiply
	BinaryOperation implementation for operator *. More...

struct	OperationPow
	BinaryOperation implementation for pow. More...

struct	OperationRemainder

struct	OperationSin
	UnaryOperation implementation for sin. More...

struct	OperationSinh
	UnaryOperation implementation for sinh. More...

struct	OperationSqrt
	UnaryOperation implementation for sqrt. More...

struct	OperationSubstract
	BinaryOperation implementation for operator -. More...

struct	OperationTan
	UnaryOperation implementation for tan. More...

struct	OperationTanh
	UnaryOperation implementation for tanh. More...

struct	OperationTgamma
	UnaryOperation implementation for tgamma. More...

struct	OperationUnaryMinus
	UnaryOperation implementation for operator -. More...

struct	ParallelActiveType
	Represents a concrete lvalue in the CoDiPack expression tree. More...

struct	ParallelReuseIndexManager
	Reuse index manager with a one-to-one relation between tapes and index manager. More...

struct	ParallelToolbox
	Collects parallel programming facilties required to make CoDiPack applicable in a shared memory parallel environment. More...

struct	PassiveArgumentStoreTraits
	Traits for storing passive arguments in byte streams. More...

struct	PointerStore
	Inserts data pointers at the back of all arguments in the nested call hierarchy. More...

struct	PointerStore< Chunk1< T_Data1 > >
	Pointer store for Chunk1 data. More...

struct	PointerStore< Chunk2< T_Data1, T_Data2 > >
	Pointer store for Chunk2 data. More...

struct	PointerStore< Chunk3< T_Data1, T_Data2, T_Data3 > >
	Pointer store for Chunk3 data. More...

struct	PointerStore< Chunk4< T_Data1, T_Data2, T_Data3, T_Data4 > >
	Pointer store for Chunk4 data. More...

struct	PositionalEvaluationTapeInterface
	Reverse AD evaluation for parts of a recorded tape. More...

struct	PreaccumulationEvaluationTapeInterface
	Perform tape evaluations but ensure that the state prior to evaluation equals the state after evaluation. More...

struct	PreaccumulationHelper
	Stores the Jacobian matrix for a code section. More...

struct	PrimalAdjointVectorAccess
	Implementation of VectorAccessInterface for adjoint and primal vectors. More...

struct	PrimalEvaluationTapeInterface
	Perform a primal reevaluation of the tape. More...

struct	PrimalTapeStatementFunctions
	Data required for all possible handle calls. More...

struct	PrimalValueBaseTape
	Base class for all standard Primal value tape implementations. More...

struct	PrimalValueLinearTape
	Final implementation for a primal value tape with a linear index management. More...

struct	PrimalValueReuseTape
	Final implementation for a primal value tape with a reuse index management. More...

struct	PrimalValueTapeTypes
	Type definitions for the primal value tapes. More...

struct	ReadWriteMutex
	Mutex construct that distinguishes between lock for read and lock for write. More...

struct	ReferenceActiveType
	Holds a reference to an ActiveType for manual optimization of common arguments. More...

struct	ReuseIndexManager
	Reuse index manager with a many-to-one relation between tapes and index manager. More...

struct	ReuseIndexManagerBase
	Identifiers are reused. Freed identifiers are assigned to new variables. Variables keep their indices as long as they are active. More...

struct	ReverseStatementEvaluator
	Only stores the function handle for the reverse evaluation. More...

struct	ReverseTapeInterface
	Minimum tape interface for a working reverse tape implementation. More...

struct	SparseEigenLinearSystem

struct	StatementEvaluatorInnerTapeInterface
	Tape side interface for StatementEvaluatorInterface. More...

struct	StatementEvaluatorInterface
	Creation of handles for the evaluation of expressions in a context where the expression type is not available. More...

struct	StatementEvaluatorTapeInterface
	Tape side interface for StatementEvaluatorInterface. More...

struct	StatementPushHelper
	Add statements to the tape where the Jacobians are computed manually. More...

struct	StatementPushHelperBase
	Base class for manual statement pushes on the tape. More...

struct	StaticContextActiveType
	Replacement type of LhsExpressionInterface types in ConstructStaticContext. More...

struct	StaticDummy
	Static dummy objects for e.g. default reference arguments. More...

struct	StaticThreadLocalPointerInterface
	Abstracts a static thread-local pointer. More...

struct	SynchronizationInterface
	Provides basic synchronization facilities. More...

struct	TagData
	Data for a tag. More...

struct	TagTapeBase
	Base implementation for tagging tapes. More...

struct	TagTapeForward
	Tape for tagging variables and find errors in the AD workflow. More...

struct	TagTapeReverse
	Tape for tagging variables and find errors in the AD workflow. More...

struct	TapeHelper
	See TapeHelperBase. More...

struct	TapeHelperBase
	A helper class that allows for a simpler access and management of a CoDiPack tape. More...

struct	TapeHelperJacobi

struct	TapeHelperNoImpl

struct	TapeHelperPrimal

struct	TapeTypesInterface
	Interface for the definition of tape types. More...

struct	TapeValues
	Tape information that can be printed in a pretty print format or a table format. More...

struct	TemporaryMemory
	Allocator for temporary used memory. More...

struct	TerminatingPointerStore

struct	ThreadInformationInterface
	Provides information on threads. More...

struct	ThreadSafeGlobalAdjoints
	Provides global adjoint variables owned by a tape type. Thread-safe for use in parallel taping. More...

struct	TraversalLogic
	Traversal of CoDiPack expressions. More...

struct	UnaryExpression
	Represents an operator with one argument in the expression tree. More...

struct	UnaryOperation
	Interface for implementing the logic for a UnaryExpression. More...

struct	ValidationIndicator
	Helper class for statement validation. More...

struct	VectorAccessInterface
	Unified access to the adjoint vector and primal vector in a tape evaluation. More...

struct	Warning

Typedefs
template<typename Chunk , typename NestedData = EmptyData>
using	DefaultBlockData = BlockData< Chunk, NestedData >
	BlockData DataInterface used in all unchecked tapes.

template<typename Chunk , typename NestedData = EmptyData>
using	DefaultChunkedData = ChunkedData< Chunk, NestedData >
	ChunkData DataInterface used in all regular tapes.

template<typename Base , typename Impl , typename R = void>
using	enable_if_base_of = std::enable_if< std::is_base_of< Base, Impl >::value, R >
	Enable if abbreviation for std::is_base_of.

template<typename T1 , typename T2 , typename R = void>
using	enable_if_not_same = std::enable_if<!std::is_same< T1, T2 >::value, R >
	Enable if abbreviation for `"!std::is_same"`.

template<typename T1 , typename T2 , typename R = void>
using	enable_if_same = std::enable_if< std::is_same< T1, T2 >::value, R >
	Enable if abbreviation for `"std::is_same"`.

using	HessianComputationScalarType = RealReversePrimalIndexGen< RealForward >
	A regular CoDiPack type that can be used for Hessian computations in the TapeHelper.

using	HessianComputationType = RealReversePrimalIndexGen< RealForwardVec< 4 >, Direction< RealForwardVec< 4 >, 4 > >
	A regular CoDiPack type that can be used for Hessian computations in the TapeHelper.

using	JacobianComputationScalarType = RealReverseIndex
	A regular CoDiPack type that can be used for Jacobian computations in the TapeHelper.

using	JacobianComputationType = RealReverseIndexVec< 4 >
	A regular CoDiPack type that can be used for Jacobian computations in the TapeHelper.

using	LinearSystemSolverHints = EnumBitset< LinearSystemSolverFlags >
	All hints for the LinearSystemSolverHelper.

template<typename T , Eigen::StorageOptions store>
using	MapEigenMatrix = Eigen::Map< Eigen::Matrix< T, Eigen::Dynamic, Eigen::Dynamic, store > >
	Abbreviation for a mapped Eigen matrix.

template<typename T , Eigen::StorageOptions store>
using	MapEigenMatrixConst = Eigen::Map< Eigen::Matrix< T, Eigen::Dynamic, Eigen::Dynamic, store > const >
	Abbreviation for a constant mapped Eigen matrix.

template<typename T >
using	MapEigenVector = Eigen::Map< Eigen::Matrix< T, Eigen::Dynamic, 1 > >
	Abbreviation for a mapped Eigen vector.

template<typename T >
using	MapEigenVectorConst = Eigen::Map< Eigen::Matrix< T, Eigen::Dynamic, 1 > const >
	Abbreviation for a constant mapped Eigen vector.

template<typename Type >
using	OpenMPAtomic = OpenMPAtomicImpl< Type >

template<typename Type >
using	OpenMPExternalFunctionHelper = ExternalFunctionHelper< Type, OpenMPSynchronization, OpenMPThreadInformation >
	Thread-safe external function helper for external functions jointly worked on by multiple OpenMP threads.

template<typename Gradient , typename Identifier , typename Tape >
using	OpenMPGlobalAdjoints = ThreadSafeGlobalAdjoints< Gradient, Identifier, Tape, OpenMPToolbox >
	Thread-safe global adjoints for OpenMP.

using	OpenMPToolbox = ParallelToolbox< OpenMPThreadInformation, OpenMPAtomic, OpenMPMutex, OpenMPStaticThreadLocalPointer, OpenMPSynchronization >
	Parallel toolbox for OpenMP.

using	RealForward = RealForwardGen< double, double >

using	RealForwardCUDA = RealForwardCUDAGen< double, double >
	Forward AD type for CUDA kernels. See Forward AD Equation for a forward mode AD explanation.

template<typename Real , typename Gradient = Real>
using	RealForwardCUDAGen = ActiveTypeStatelessTape< ForwardEvaluation< Real, Gradient > >
	Forward AD type for CUDA kernels. See Forward AD Equation for a forward mode AD explanation.

template<size_t dim>
using	RealForwardCUDAVec = RealForwardCUDAGen< double, Direction< double, dim > >
	Vector forward AD type for CUDA kernels. See Forward AD Equation for a forward mode AD explanation.

template<typename Real , typename Gradient = Real>
using	RealForwardGen = ActiveType< ForwardEvaluation< Real, Gradient > >

using	RealForwardTag = ActiveType< TagTapeForward< double, int > >

template<size_t dim>
using	RealForwardVec = RealForwardGen< double, Direction< double, dim > >

using	RealReverse = RealReverseGen< double >

template<typename Real , typename Gradient = Real, typename Index = int>
using	RealReverseGen = ActiveType< JacobianLinearTape< JacobianTapeTypes< Real, Gradient, LinearIndexManager< Index >, DefaultChunkedData > > >

using	RealReverseIndex = RealReverseIndexGen< double >

template<typename Real , typename Gradient = Real, typename IndexManager = MultiUseIndexManager<int>>
using	RealReverseIndexGen = ActiveType< JacobianReuseTape< JacobianTapeTypes< Real, Gradient, IndexManager, DefaultChunkedData > > >

using	RealReverseIndexOpenMP = RealReverseIndexOpenMPGen< double >


template<typename Real , typename Gradient = OpenMPAtomic<Real>, typename IndexManager = ParallelReuseIndexManager<int, OpenMPToolbox>>
using	RealReverseIndexOpenMPGen = ParallelActiveType< JacobianReuseTape< JacobianTapeTypes< Real, Gradient, IndexManager, DefaultChunkedData, OpenMPGlobalAdjoints > >, OpenMPToolbox >


using	RealReverseIndexUnchecked = RealReverseIndexUncheckedGen< double >

template<typename Real , typename Gradient = Real, typename IndexManager = MultiUseIndexManager<int>>
using	RealReverseIndexUncheckedGen = ActiveType< JacobianReuseTape< JacobianTapeTypes< Real, Gradient, IndexManager, DefaultChunkedData > > >

template<size_t dim>
using	RealReverseIndexVec = RealReverseIndexGen< double, Direction< double, dim > >

template<size_t dim>
using	RealReverseIndexVecOpenMP = RealReverseIndexOpenMPGen< double, Direction< OpenMPAtomic< double >, dim > >


using	RealReversePrimal = RealReversePrimalGen< double >

template<typename Real , typename Gradient = Real, typename Index = int, template< typename > class StatementEvaluator = InnerStatementEvaluator>
using	RealReversePrimalGen = ActiveType< PrimalValueLinearTape< PrimalValueTapeTypes< Real, Gradient, LinearIndexManager< Index >, StatementEvaluator, DefaultChunkedData > > >

using	RealReversePrimalIndex = RealReversePrimalIndexGen< double >

template<typename Real , typename Gradient = Real, typename IndexManager = MultiUseIndexManager<int>, template< typename > class StatementEvaluator = InnerStatementEvaluator>
using	RealReversePrimalIndexGen = ActiveType< PrimalValueReuseTape< PrimalValueTapeTypes< Real, Gradient, IndexManager, StatementEvaluator, DefaultChunkedData > > >

using	RealReversePrimalIndexUnchecked = RealReversePrimalIndexUncheckedGen< double >

template<typename Real , typename Gradient = Real, typename IndexManager = MultiUseIndexManager<int>, template< typename > class StatementEvaluator = InnerStatementEvaluator>
using	RealReversePrimalIndexUncheckedGen = ActiveType< PrimalValueReuseTape< PrimalValueTapeTypes< Real, Gradient, IndexManager, StatementEvaluator, DefaultChunkedData > > >

template<size_t dim>
using	RealReversePrimalIndexVec = RealReversePrimalIndexGen< double, Direction< double, dim > >

using	RealReversePrimalUnchecked = RealReversePrimalUncheckedGen< double >

template<typename Real , typename Gradient = Real, typename Index = int, template< typename > class StatementEvaluator = InnerStatementEvaluator>
using	RealReversePrimalUncheckedGen = ActiveType< PrimalValueLinearTape< PrimalValueTapeTypes< Real, Gradient, LinearIndexManager< Index >, StatementEvaluator, DefaultChunkedData > > >

template<size_t dim>
using	RealReversePrimalVec = RealReversePrimalGen< double, Direction< double, dim > >

using	RealReverseTag = ActiveType< TagTapeReverse< double, int > >

using	RealReverseUnchecked = RealReverseUncheckedGen< double >

template<typename Real , typename Gradient = Real, typename Index = int>
using	RealReverseUncheckedGen = ActiveType< JacobianLinearTape< JacobianTapeTypes< Real, Gradient, LinearIndexManager< Index >, DefaultBlockData > > >

template<size_t dim>
using	RealReverseVec = RealReverseGen< double, Direction< double, dim > >

using	RestoreActions = EnumBitset< RestoreAction >
	Action set for a variable during a store. See Restore actions for a detailed description.

using	StoreActions = EnumBitset< StoreAction >
	Action set for a variable during a store. See Store actions for a detailed description.

Enumerations
enum class	AdjointsManagement { Manual , Automatic }
	Policies for management of the tape's interal adjoints. More...

enum class	EnumInterface { MaxElement }
	Default interface for enums.

enum struct	IoError { Mode , Open , Write , Read }
	Possible IO errors.

enum class	LinearSystemSolverFlags { ReverseEvaluation = 0 , ForwardEvaluation , PrimalEvaluation , ProvidePrimalSolution , RecomputePrimalInForwardEvaluation , MaxElement }
	Flags for the linear system solver. See LinearSystemInterface for a description of the flags.

enum class	LowLevelFunctionEntryCallKind { Forward , Reverse , Primal , Delete , MaxElement }
	All possible call types for a low level function entry.

enum class	RestoreAction { PrimalCreate , PrimalRestore , InputIdentifierRestore , OutputIdentifierRestore , InputGradientCreate , OutputGradientCreate , MaxElement }
	Action flags for activities during a restore. See Restore actions for a detailed description.

enum class	StoreAction { PrimalCreateOnTape , PrimalExtract , InputIdentifierCreateAndStore , OutputIdentifierCreate , MaxElement }
	Action flags for activities during a store. See Store actions for a detailed description.

enum class	TagFlags { DoNotChange , DoNotWrite , DoNotUse , MaxElement }
	Properties for values. More...

enum class	TapeParameters { AdjointSize , ConstantValuesSize , ExternalFunctionsSize , JacobianSize , LargestIdentifier , PassiveValuesSize , PrimalSize , RhsIdentifiersSize , StatementSize , LLFInfoDataSize , LLFByteDataSize }
	Configuration options for a tape. More...

Functions
size_t constexpr	binomial (size_t n, size_t k)
	Binomial coefficient computation.

void	checkAndOutputAssert (bool const condition, char const conditionString, char const function, char const *file, int line)
	Checks the assert statement and aborts the program if the statement is false.

template<typename... Args>
void	CODI_UNUSED (Args const &...)
	Disable unused warnings for an arbitrary number of arguments.

template<typename V >
V	constructVector (size_t const size)
	Helper for the construction of vector types provided by the user.

template<typename IntegralType >
IntegralType	getNextMultiple (IntegralType const &targetSize, IntegralType const &chunkSize)
	Helper function for overallocation in multiples of a given chunk size.

template<Eigen::StorageOptions store, typename T >
MapEigenMatrix< T, store >	mapEigen (T *p, int rows, int cols)
	Create a mapped Eigen matrix with specified storing option.

template<typename T >
MapEigenVector< T >	mapEigen (T *p, int size)
	Create a mapped Eigen vector.

template<Eigen::StorageOptions store, typename T >
MapEigenMatrixConst< T, store >	mapEigen (T const *p, int rows, int cols)
	Create a mapped Eigen matrix with specified storing option.

template<typename T >
MapEigenVectorConst< T >	mapEigen (T const *p, int size)
	Create a constant mapped Eigen vector.

template<typename T >
MapEigenMatrix< T, Eigen::StorageOptions::ColMajor >	mapEigenColMajor (T *p, int rows, int cols)
	Create a mapped Eigen matrix with a column major data layout.

template<typename T >
MapEigenMatrixConst< T, Eigen::StorageOptions::ColMajor >	mapEigenColMajor (T const *p, int rows, int cols)
	Create a constant mapped Eigen matrix with a column major data layout.

template<typename T >
MapEigenMatrix< T, Eigen::StorageOptions::RowMajor >	mapEigenRowMajor (T *p, int rows, int cols)
	Create a mapped Eigen matrix with a row major data layout.

template<typename T >
MapEigenMatrixConst< T, Eigen::StorageOptions::RowMajor >	mapEigenRowMajor (T const *p, int rows, int cols)
	Create a constant mapped Eigen matrix with a row major data layout.

template<Eigen::StorageOptions eigenStore, typename Type >
void	matrixMatrixMultiplication (Type const A, Type const B, Type *R, int n, int k, int m)

template<typename Type >
void	matrixMatrixMultiplicationColMajor (Type const A, Type const B, Type *R, int n, int k, int m)

template<typename Type >
void	matrixMatrixMultiplicationRowMajor (Type const A, Type const B, Type *R, int n, int k, int m)

template<typename A , typename Real , size_t dim>
bool	operator!= (A const &s, Direction< Real, dim > const &v)
	Component-wise test for inequality with scalar. True if at least one component differs.

template<typename A , typename Real , size_t dim>
bool	operator!= (Direction< Real, dim > const &v, A const &s)
	Component-wise test for inequality with scalar. True if at least one component differs.

template<typename Real , size_t dim>
bool	operator!= (Direction< Real, dim > const &v1, Direction< Real, dim > const &v2)
	Component-wise test for inequality. True if at least one component differs.

template<typename Enum >
bool	operator!= (Enum a, EnumBitset< Enum > const &b)
	Not equal comparison for an enum and a bitset.

template<typename Tag >
bool	operator!= (TagData< Tag > const &a, TagData< Tag > const &b)
	Not equal comparison of two tag data objects.

template<typename Enum >
EnumBitset< Enum >	operator& (Enum a, EnumBitset< Enum > const &b)
	And operation of the bitset and an enum.

template<typename Enum >
EnumBitset< Enum >	operator& (EnumBitset< Enum > const &a, Enum b)
	And operation of the bitset and an enum.

template<typename Enum >
EnumBitset< Enum >	operator& (EnumBitset< Enum > const &a, EnumBitset< Enum > const &b)
	And operation of two bitsets.

template<typename Real , size_t dim, typename = AtomicTraits::EnableIfAtomic<Real>>
Direction< Real, dim >	operator* (AtomicTraits::RemoveAtomic< Real > const &s, Direction< Real, dim > const &v)
	Multiplication of a non-atomic scalar with a direction that has atomic reals.

template<typename Real , size_t dim, typename = AtomicTraits::EnableIfAtomic<Real>>
Direction< Real, dim >	operator* (Direction< Real, dim > const &v, AtomicTraits::RemoveAtomic< Real > const &s)
	Multiplication of a non-atomic scalar with a direction that has atomic reals.

template<typename Real , size_t dim>
Direction< Real, dim >	operator* (Direction< Real, dim > const &v, Real const &s)
	Multiplication with a scalar.

template<typename Real , size_t dim, typename = RealTraits::EnableIfNotPassiveReal<Real>>
Direction< Real, dim >	operator* (Direction< Real, dim > const &v, RealTraits::PassiveReal< Real > const &s)
	Multiplication with passive a scalar.

template<typename Real , size_t dim>
Direction< Real, dim >	operator* (Real const &s, Direction< Real, dim > const &v)
	Multiplication with a scalar.

template<typename Real , size_t dim, typename = RealTraits::EnableIfNotPassiveReal<Real>>
Direction< Real, dim >	operator* (RealTraits::PassiveReal< Real > const &s, Direction< Real, dim > const &v)
	Multiplication with a passive scalar.

template<typename Real , size_t dim>
Direction< Real, dim >	operator+ (Direction< Real, dim > const &v1, Direction< Real, dim > const &v2)
	Summation of two vectors.

template<typename Real , size_t dim>
Direction< Real, dim >	operator- (Direction< Real, dim > const &v)
	Negation.

template<typename Real , size_t dim>
Direction< Real, dim >	operator- (Direction< Real, dim > const &v1, Direction< Real, dim > const &v2)
	Subtraction of two vectors.

template<typename Real , size_t dim, typename = AtomicTraits::EnableIfAtomic<Real>>
Direction< Real, dim >	operator/ (Direction< Real, dim > const &v, AtomicTraits::RemoveAtomic< Real > const &s)
	Division of a direction with atomic reals by a non-atomic scalar.

template<typename Real , size_t dim>
Direction< Real, dim >	operator/ (Direction< Real, dim > const &v, Real const &s)
	Division by a scalar.

template<typename Real , size_t dim, typename = RealTraits::EnableIfNotPassiveReal<Real>>
Direction< Real, dim >	operator/ (Direction< Real, dim > const &v, RealTraits::PassiveReal< Real > const &s)
	Division by a passive scalar.

template<typename Out , typename Enum >
Out &	operator<< (Out &out, EnumBitset< Enum > const &b)
	Stream output.

template<typename Real , size_t dim>
std::ostream &	operator<< (std::ostream &os, Direction< Real, dim > const &v)
	Output stream operator.

template<typename Expr >
ExpressionTraits::EnableIfExpression< Expr, std::ostream > &	operator<< (std::ostream &out, Expr const &v)
	Write the primal value to the stream.

template<typename Stream , typename Jac , typename = enable_if_base_of<Jac, JacobianInterface<typename Jac::T>>>
Stream &	operator<< (Stream &out, Jac const &jacobian)
	Output a Jacobian on the data stream.

template<typename A , typename Real , size_t dim>
bool	operator== (A const &s, Direction< Real, dim > const &v)
	Component-wise test for equality with scalar. True if all components match.

template<typename A , typename Real , size_t dim>
bool	operator== (Direction< Real, dim > const &v, A const &s)
	Component-wise test for equality with scalar. True if all components match.

template<typename Real , size_t dim>
bool	operator== (Direction< Real, dim > const &v1, Direction< Real, dim > const &v2)
	Component-wise test for equality. True if all components match.

template<typename Enum >
bool	operator== (Enum a, EnumBitset< Enum > const &b)
	Equal comparison for an enum and a bitset.

template<typename Tag >
bool	operator== (TagData< Tag > const &a, TagData< Tag > const &b)
	Equal comparison of two tag data objects.

template<typename Expr >
ExpressionTraits::EnableIfLhsExpression< Expr, std::istream > &	operator>> (std::istream &stream, Expr &v)
	Read the primal value from a stream.

template<typename Enum >
EnumBitset< Enum >	operator\| (Enum a, EnumBitset< Enum > const &b)
	Or operation of the bitset and an enum.

template<typename Enum >
EnumBitset< Enum >	operator\| (EnumBitset< Enum > const &a, Enum b)
	Or operation of the bitset and an enum.

template<typename Enum >
EnumBitset< Enum >	operator\| (EnumBitset< Enum > const &a, EnumBitset< Enum > const &b)
	Or operation of two bitsets.

LinearSystemSolverHints	operator\| (LinearSystemSolverFlags a, LinearSystemSolverFlags b)
	Return a hints structure when to enums are ored.

void	outputExceptionOrWarning (char const function[], char const file[], int const line, bool warning, char const *message,...)
	Prints the positions and the message of the exception.

template<typename LSInterface >
void	solveLinearSystem (LSInterface lsi, typename LSInterface::Matrix &A, typename LSInterface::Vector &b, typename LSInterface::Vector &x, LinearSystemSolverHints hints=LinearSystemSolverHints::ALL())

template<typename T >
T const	toConst (T &&v)
	Constant cast function that works with CUDA.

template<typename T >
T const &	toConst (T &v)
	Constant cast function that works with CUDA.

Additional standard library binary operators
/‍*******************************************************************************‍/
template<typename Real , typename Gradient , typename Tape , typename Impl >
void	swap (LhsExpressionInterface< Real, Gradient, Tape, Impl > &lhs, LhsExpressionInterface< Real, Gradient, Tape, Impl > &rhs)
	Optimized swap for lhs expressions that does not call the copy constructor.

Builtin unary operators
template<typename Real , typename Arg >
ExpressionInterface< Real, Arg > const &	operator+ (ExpressionInterface< Real, Arg > const &arg)
	Function overload for operator +.

Standard math library unary operators
template<typename Real , typename Arg >
RealTraits::PassiveReal< Real >	ceil (ExpressionInterface< Real, Arg > const &arg)
	Function overload for ceil.

template<typename Real , typename Arg >
RealTraits::PassiveReal< Real >	ceilf (ExpressionInterface< Real, Arg > const &arg)
	Function overload for ceilf.

template<typename Real , typename Arg >
RealTraits::PassiveReal< Real >	ceill (ExpressionInterface< Real, Arg > const &arg)
	Function overload for ceill.

template<typename Real , typename Arg >
RealTraits::PassiveReal< Real >	floor (ExpressionInterface< Real, Arg > const &arg)
	Function overload for floor.

template<typename Real , typename Arg >
RealTraits::PassiveReal< Real >	floorf (ExpressionInterface< Real, Arg > const &arg)
	Function overload for floorf.

template<typename Real , typename Arg >
RealTraits::PassiveReal< Real >	floorl (ExpressionInterface< Real, Arg > const &arg)
	Function overload for floorl.

template<typename Real , typename Arg >
bool	isfinite (ExpressionInterface< Real, Arg > const &arg)
	Function overload for isfinite.

template<typename Real , typename Arg >
bool	isinf (ExpressionInterface< Real, Arg > const &arg)
	Function overload for isinf.

template<typename Real , typename Arg >
bool	isnan (ExpressionInterface< Real, Arg > const &arg)
	Function overload for isnan.

template<typename Real , typename Arg >
bool	isnormal (ExpressionInterface< Real, Arg > const &arg)
	Function overload for isnormal.

template<typename Real , typename Arg >
RealTraits::PassiveReal< Real >	round (ExpressionInterface< Real, Arg > const &arg)
	Function overload for round.

template<typename Real , typename Arg >
RealTraits::PassiveReal< Real >	roundf (ExpressionInterface< Real, Arg > const &arg)
	Function overload for roundf.

template<typename Real , typename Arg >
RealTraits::PassiveReal< Real >	roundl (ExpressionInterface< Real, Arg > const &arg)
	Function overload for roundl.

Additional standard library unary operators
template<typename Real , typename Arg >
std::string	to_string (ExpressionInterface< Real, Arg > const &arg)
	Function overload for to_string.

Detailed Description

CoDiPack - Code Differentiation Package.

Web: https://www.scicomp.uni-kl.de/software/codi Git: https://github.com/scicompkl/codipack Doc: https://www.scicomp.uni-kl.de/codi

Typedef Documentation

◆ HessianComputationScalarType

using codi::HessianComputationScalarType = typedef RealReversePrimalIndexGen<RealForward>

A regular CoDiPack type that can be used for Hessian computations in the TapeHelper.

This is the scalar version which does not use a vector mode.

◆ JacobianComputationScalarType

using codi::JacobianComputationScalarType = typedef RealReverseIndex

A regular CoDiPack type that can be used for Jacobian computations in the TapeHelper.

This is the scalar version which does not use a vector mode.

◆ OpenMPAtomic

template<typename Type >

using codi::OpenMPAtomic = typedef OpenMPAtomicImpl<Type>

Wrapper for atomics for OpenMP.

Template Parameters

Type	An arithmetic type or CoDiPack forward type.

◆ RealForward

using codi::RealForward = typedef RealForwardGen<double, double>

Default forward AD type. See Forward AD Equation for a forward mode AD explanation or Active type definitions for a list of all types.

◆ RealForwardGen

template<typename Real , typename Gradient = Real>

using codi::RealForwardGen = typedef ActiveType<ForwardEvaluation<Real, Gradient> >

General forward AD type. See Forward AD Equation for a forward mode AD explanation or Active type definitions for a list of all types.

◆ RealForwardTag

using codi::RealForwardTag = typedef ActiveType<TagTapeForward<double, int> >

Type for checking errors of the application with respect to other CoDiPack types. Resembles a CoDiPack forward type.

◆ RealForwardVec

template<size_t dim>

using codi::RealForwardVec = typedef RealForwardGen<double, Direction<double, dim> >

General vector forward AD type. See Forward AD Equation for a forward mode AD explanation or Active type definitions for a list of all types.

◆ RealReverse

using codi::RealReverse = typedef RealReverseGen<double>

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Jacobian taping approach with linear index handling.

◆ RealReverseGen

template<typename Real , typename Gradient = Real, typename Index = int>

using codi::RealReverseGen = typedef ActiveType<JacobianLinearTape<JacobianTapeTypes<Real, Gradient, LinearIndexManager<Index>, DefaultChunkedData> >>

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Jacobian taping approach with linear index handling.

◆ RealReverseIndex

using codi::RealReverseIndex = typedef RealReverseIndexGen<double>

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Jacobian taping approach with reuse index handling.

◆ RealReverseIndexGen

template<typename Real , typename Gradient = Real, typename IndexManager = MultiUseIndexManager<int>>

using codi::RealReverseIndexGen = typedef ActiveType<JacobianReuseTape<JacobianTapeTypes<Real, Gradient, IndexManager, DefaultChunkedData> >>

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Jacobian taping approach with reuse index handling.

◆ RealReverseIndexOpenMP

using codi::RealReverseIndexOpenMP = typedef RealReverseIndexOpenMPGen<double>

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Jacobian taping approach with reuse index handling.

This a thread-safe implementation for use with OpenMP. See Example 23 - OpenMP Parallel Codes for an example.

◆ RealReverseIndexOpenMPGen

template<typename Real , typename Gradient = OpenMPAtomic<Real>, typename IndexManager = ParallelReuseIndexManager<int, OpenMPToolbox>>

using codi::RealReverseIndexOpenMPGen = typedef ParallelActiveType< JacobianReuseTape<JacobianTapeTypes<Real, Gradient, IndexManager, DefaultChunkedData, OpenMPGlobalAdjoints> >, OpenMPToolbox>

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Jacobian taping approach with reuse index handling.

This a thread-safe implementation for use with OpenMP. See Example 23 - OpenMP Parallel Codes for an example.

◆ RealReverseIndexUnchecked

using codi::RealReverseIndexUnchecked = typedef RealReverseIndexUncheckedGen<double>

General unchecked reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Requires preallocation of data. See DataManagementTapeInterface.

Jacobian taping approach with reuse index handling.

◆ RealReverseIndexUncheckedGen

template<typename Real , typename Gradient = Real, typename IndexManager = MultiUseIndexManager<int>>

using codi::RealReverseIndexUncheckedGen = typedef ActiveType<JacobianReuseTape<JacobianTapeTypes<Real, Gradient, IndexManager, DefaultChunkedData> >>

General unchecked reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Requires preallocation of data. See DataManagementTapeInterface.

Jacobian taping approach with reuse index handling.

◆ RealReverseIndexVec

template<size_t dim>

using codi::RealReverseIndexVec = typedef RealReverseIndexGen<double, Direction<double, dim> >

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Jacobian taping approach with reuse index handling.

◆ RealReverseIndexVecOpenMP

template<size_t dim>

using codi::RealReverseIndexVecOpenMP = typedef RealReverseIndexOpenMPGen<double, Direction<OpenMPAtomic<double>, dim> >

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Jacobian taping approach with reuse index handling.

This a thread-safe implementation for use with OpenMP. See Example 23 - OpenMP Parallel Codes for an example.

◆ RealReversePrimal

using codi::RealReversePrimal = typedef RealReversePrimalGen<double>

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Primal value taping approach with linear index handling.

◆ RealReversePrimalGen

template<typename Real , typename Gradient = Real, typename Index = int, template< typename > class StatementEvaluator = InnerStatementEvaluator>

using codi::RealReversePrimalGen = typedef ActiveType<PrimalValueLinearTape< PrimalValueTapeTypes<Real, Gradient, LinearIndexManager<Index>, StatementEvaluator, DefaultChunkedData> >>

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Primal value taping approach with linear index handling.

◆ RealReversePrimalIndex

using codi::RealReversePrimalIndex = typedef RealReversePrimalIndexGen<double>

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Primal value taping approach with reuse index handling.

◆ RealReversePrimalIndexGen

template<typename Real , typename Gradient = Real, typename IndexManager = MultiUseIndexManager<int>, template< typename > class StatementEvaluator = InnerStatementEvaluator>

using codi::RealReversePrimalIndexGen = typedef ActiveType< PrimalValueReuseTape<PrimalValueTapeTypes<Real, Gradient, IndexManager, StatementEvaluator, DefaultChunkedData> >>

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Primal value taping approach with reuse index handling.

◆ RealReversePrimalIndexUnchecked

using codi::RealReversePrimalIndexUnchecked = typedef RealReversePrimalIndexUncheckedGen<double>

General unchecked reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Requires preallocation of data. See DataManagementTapeInterface.

Primal value taping approach with reuse index handling.

◆ RealReversePrimalIndexUncheckedGen

template<typename Real , typename Gradient = Real, typename IndexManager = MultiUseIndexManager<int>, template< typename > class StatementEvaluator = InnerStatementEvaluator>

using codi::RealReversePrimalIndexUncheckedGen = typedef ActiveType< PrimalValueReuseTape<PrimalValueTapeTypes<Real, Gradient, IndexManager, StatementEvaluator, DefaultChunkedData> >>

General unchecked reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Requires preallocation of data. See DataManagementTapeInterface.

Primal value taping approach with reuse index handling.

◆ RealReversePrimalIndexVec

template<size_t dim>

using codi::RealReversePrimalIndexVec = typedef RealReversePrimalIndexGen<double, Direction<double, dim> >

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Primal value taping approach with reuse index handling.

◆ RealReversePrimalUnchecked

using codi::RealReversePrimalUnchecked = typedef RealReversePrimalUncheckedGen<double>

General unchecked reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Requires preallocation of data. See DataManagementTapeInterface.

Primal value taping approach with linear index handling.

◆ RealReversePrimalUncheckedGen

template<typename Real , typename Gradient = Real, typename Index = int, template< typename > class StatementEvaluator = InnerStatementEvaluator>

using codi::RealReversePrimalUncheckedGen = typedef ActiveType<PrimalValueLinearTape< PrimalValueTapeTypes<Real, Gradient, LinearIndexManager<Index>, StatementEvaluator, DefaultChunkedData> >>

General unchecked reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Requires preallocation of data. See DataManagementTapeInterface.

Primal value taping approach with linear index handling.

◆ RealReversePrimalVec

template<size_t dim>

using codi::RealReversePrimalVec = typedef RealReversePrimalGen<double, Direction<double, dim> >

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Primal value taping approach with linear index handling.

◆ RealReverseTag

using codi::RealReverseTag = typedef ActiveType<TagTapeReverse<double, int> >

Type for checking errors of the application with respect to other CoDiPack types. Resembles a CoDiPack reverse type.

◆ RealReverseUnchecked

using codi::RealReverseUnchecked = typedef RealReverseUncheckedGen<double>

General unchecked reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Requires preallocation of data. See DataManagementTapeInterface.

Jacobian taping approach with linear index handling.

◆ RealReverseUncheckedGen

template<typename Real , typename Gradient = Real, typename Index = int>

using codi::RealReverseUncheckedGen = typedef ActiveType<JacobianLinearTape<JacobianTapeTypes<Real, Gradient, LinearIndexManager<Index>, DefaultBlockData> >>

General unchecked reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Requires preallocation of data. See DataManagementTapeInterface.

Jacobian taping approach with linear index handling.

◆ RealReverseVec

template<size_t dim>

using codi::RealReverseVec = typedef RealReverseGen<double, Direction<double, dim> >

General reverse AD type. See Reverse AD Equation for a reverse mode AD explanation or Active type definitions for a list of all types.

Jacobian taping approach with linear index handling.

Enumeration Type Documentation

◆ AdjointsManagement

enum class codi::AdjointsManagement

strong

Policies for management of the tape's interal adjoints.

For the convenience of the user, tapes manage their internal adjoints automatically, which involves multiple tasks. AdjointsManagement::Manual indicates that non of these tasks is performed - they are the responsibility of the caller instead. Functions that take an AdjointsManagement parameter default to AdjointsManagement::Automatic and document the individual effects of AdjointsManagement::Manual. An overview over all possible effects is given below.

Bounds checking. The function accesses the adjoints. In the automatic mode, it checks whether the adjoints are sufficiently large. If they are not, they might be resized or the function might work on or return dummy values. To optimize the memory usage and/or reduce the number of reallocations, AdjointsManagement::Manual can be used to skip bounds checking and resizing. It is the responsibility of the caller to ensure sufficient adjoints size, for example by calls to DataManagementTapeInterface::resizeAdjointVector.

Declaration of adjoints usage (locking). If a tape implements it adjoints against InternalAdjointsInterface, it keeps track of whether the adjoint vector is in use, which is for example the case during tape evaluations. This is to ensure mutual exclusion with reallocations, this is particularly important in shared-memory parallel taping, see also ThreadSafeGlobalAdjoints. Declaration of usage involves setting a lock, which can become a bottleneck if it is done frequently. To optimize the performance, multiple operations can be grouped into a single usage declaration, by surrounding them by manual DataManagementTapeInterface::beginUseAdjoints and DataManagementTapeInterface::endUseAdjoints calls and invoking them with AdjointsManagement::Manual. Note that any method that results in adjoint vector resizing must be called outside usage declarations, otherwise there would be a deadlock.

Enumerator
Manual	Do not perform any bounds checking, locking, or resizing.
Automatic	Manage internal adjoints automatically, including locking, bounds checking, and resizing.

◆ TagFlags

enum class codi::TagFlags

strong

Properties for values.

Enumerator
DoNotChange	DoNotChange: Value can be assigned, but it should not change.
DoNotWrite	DoNotWrite: Value can not be assigned.
DoNotUse	DoNotUse: Value should not be used. That is, it should not be used on the right hand side of an assignment. (Is removed after the value has been overwritten.)
MaxElement	Maximum number of elements.

◆ TapeParameters

enum class codi::TapeParameters

strong

Configuration options for a tape.

See DataManagementTapeInterface for details.

Access is defined by [A: "access"]. Options are:

R read only access (getParameter)
W write only access (setParameter)
RW read and write access (getParameter and setParameters)

Enumerator
AdjointSize	[A: RW] Current number of adjoint vector entries, not the maximum possible size. See LargestIdentifier.
ConstantValuesSize	[A: RW] Allocated number of entries in the constant value vector in primal value tapes.
ExternalFunctionsSize	[A: RW] (Deprecated, will be removed on 31.12.2024) Allocated number of entries in the external function vector.
JacobianSize	[A: RW] Allocated number of entries in the argument Jacobian vector in Jacobian tapes.
LargestIdentifier	[A: R] Largest identifier distributed by the index manger.
PassiveValuesSize	[A: RW] Allocated number of entries in the passive value vector in primal value tapes.
PrimalSize	[A: RW] Number of primal vector entries in primal value tapes.
RhsIdentifiersSize	[A: RW] Allocated number of entries in the right hand side identifiers vector in primal value tapes.
StatementSize	[A: RW] Allocated number of entries in the statement vector in all tapes.
LLFInfoDataSize	[A: RW] Allocated number of entries in the low level function info vector in all tapes.
LLFByteDataSize	[A: RW] Allocated number of entries in the the byte data vecotor of low level functions in all tapes.

Function Documentation

◆ binomial()

size_t constexpr codi::binomial	(	size_t	n,
		size_t	k
	)

inlineconstexpr

Binomial coefficient computation.

Recursive implementation of

$\binom{n}{k} = \frac{n!}{k!(n-k)!} = \binom{n-1}{k} + \binom{n-1}{k-1}$

Parameters

[in]	n	Number of choices.
[in]	k	Number of draws.

Returns: Binomial coefficient.

◆ checkAndOutputAssert()

void codi::checkAndOutputAssert	(	bool const	condition,
		char const *	conditionString,
		char const *	function,
		char const *	file,
		int	line
	)

inline

Checks the assert statement and aborts the program if the statement is false.

The method prints an error message that contains the failed expression, the function name, the file, and the line. This method is usually accessed via the codiAssert macro, see codi::Config::EnableAssert.

Parameters

[in]	condition	The evaluated value of the condition.
[in]	conditionString	The condition as a string value.
[in]	function	The name of the function that caused the assert.
[in]	file	The file were the function is defined.
[in]	line	The line in the file were the assert is defined.

◆ getNextMultiple()

template<typename IntegralType >

IntegralType codi::getNextMultiple	(	IntegralType const &	targetSize,
		IntegralType const &	chunkSize
	)

Helper function for overallocation in multiples of a given chunk size.

Template Parameters

IntegralType An integral type, usually size_t.

Parameters

targetSize	Minimum returned size.
chunkSize	Returned size is a multiple of chunkSize.

Returns: Next multiple of chunkSize larger or equal to targetSize.

◆ matrixMatrixMultiplication()

template<Eigen::StorageOptions eigenStore, typename Type >

void codi::matrixMatrixMultiplication	(	Type const *	A,
		Type const *	B,
		Type *	R,
		int	n,
		int	k,
		int	m
	)

Low level function for with

$R \in \R^{n \times m}$
$A \in \R^{n \times k}$
$B \in \R^{k \times m}$

Template Parameters

eigenStore One of Eigen::StorageOptions.

◆ matrixMatrixMultiplicationColMajor()

template<typename Type >

void codi::matrixMatrixMultiplicationColMajor	(	Type const *	A,
		Type const *	B,
		Type *	R,
		int	n,
		int	k,
		int	m
	)

Low level function for with

$R \in \R^{n \times m}$
$A \in \R^{n \times k}$
$B \in \R^{k \times m}$

◆ matrixMatrixMultiplicationRowMajor()

template<typename Type >

void codi::matrixMatrixMultiplicationRowMajor	(	Type const *	A,
		Type const *	B,
		Type *	R,
		int	n,
		int	k,
		int	m
	)

Low level function for with

$R \in \R^{n \times m}$
$A \in \R^{n \times k}$
$B \in \R^{k \times m}$

◆ operator<<()

template<typename Stream , typename Jac , typename = enable_if_base_of<Jac, JacobianInterface<typename Jac::T>>>

Stream & codi::operator<<	(	Stream &	out,
		Jac const &	jacobian
	)

Output a Jacobian on the data stream.

The format is (Matlab): [1, 2, 3; 4, 5, 6; 7, 8, 8]

◆ outputExceptionOrWarning()

void codi::outputExceptionOrWarning	(	char const	function[],
		char const	file[],
		int const	line,
		bool	warning,
		char const *	message,
			...
	)

inline

Prints the positions and the message of the exception.

The position and function where the exceptions occurred are printed. The message will be handled and formatted by a printf like function.

Parameters

[in]	function	Name of the function from which the exception is generated.
[in]	file	File where the exception was generated.
[in]	line	Line inside the file where the exception was generated.
[in]	warning	If this is a warning or an exception.
[in]	message	The exception message and the arguments for the formatting in the message.

◆ solveLinearSystem()

template<typename LSInterface >

void codi::solveLinearSystem	(	LSInterface	lsi,
		typename LSInterface::Matrix &	A,
		typename LSInterface::Vector &	b,
		typename LSInterface::Vector &	x,
		LinearSystemSolverHints	hints = `LinearSystemSolverHints::ALL()`
	)

Solve Ax=b and add an external function to the tape such that the appropriate AD modes are also solved.

Parameters

lsi	The implementation of LinearSystemInterface which defines the linear system solution algorithm.
A	The matrix.
b	The right hand side.
x	The solution.
hints	Hints for the AD algorithm. See function description.

Namespaces

Classes

Typedefs

Enumerations

Functions

Detailed Description

Typedef Documentation

◆ HessianComputationScalarType

◆ JacobianComputationScalarType

◆ OpenMPAtomic

◆ RealForward

◆ RealForwardGen

◆ RealForwardTag

◆ RealForwardVec

◆ RealReverse

◆ RealReverseGen

◆ RealReverseIndex

◆ RealReverseIndexGen

◆ RealReverseIndexOpenMP

◆ RealReverseIndexOpenMPGen

◆ RealReverseIndexUnchecked

◆ RealReverseIndexUncheckedGen

◆ RealReverseIndexVec

◆ RealReverseIndexVecOpenMP

◆ RealReversePrimal

◆ RealReversePrimalGen

◆ RealReversePrimalIndex

◆ RealReversePrimalIndexGen

◆ RealReversePrimalIndexUnchecked

◆ RealReversePrimalIndexUncheckedGen

◆ RealReversePrimalIndexVec

◆ RealReversePrimalUnchecked

◆ RealReversePrimalUncheckedGen

◆ RealReversePrimalVec

◆ RealReverseTag

◆ RealReverseUnchecked

◆ RealReverseUncheckedGen

◆ RealReverseVec

Enumeration Type Documentation

◆ AdjointsManagement

◆ TagFlags

◆ TapeParameters

Function Documentation

◆ binomial()

◆ checkAndOutputAssert()

◆ getNextMultiple()

◆ matrixMatrixMultiplication()

◆ matrixMatrixMultiplicationColMajor()

◆ matrixMatrixMultiplicationRowMajor()

◆ operator<<()

◆ outputExceptionOrWarning()

◆ solveLinearSystem()