Sacado::Fad Namespace Reference

Namespace for forward-mode AD classes. More...

Classes
class	ArrayTraits
struct	ArrayValueType
class	BLAS
	Fad specializations for Teuchos::BLAS wrappers. More...
struct	ArrayValueType< Sacado::Fad::DFad< ValueT > >
struct	ArrayValueType< Sacado::Fad::SFad< ValueT, Num > >
struct	ArrayValueType< Sacado::Fad::SLFad< ValueT, Num > >
struct	ArrayValueType< Sacado::Fad::DMFad< ValueT > >
struct	ArrayValueType< Sacado::Fad::DVFad< ValueT > >
struct	ArrayValueType< Sacado::ELRFad::DFad< ValueT > >
struct	ArrayValueType< Sacado::ELRFad::SFad< ValueT, Num > >
struct	ArrayValueType< Sacado::ELRFad::SLFad< ValueT, Num > >
struct	ArrayValueType< Sacado::CacheFad::DFad< ValueT > >
class	DFad
	Forward-mode AD class using dynamic memory allocation and expression templates. More...
class	DMFad
	Forward-mode AD class using dynamic memory allocation and expression templates. More...
class	DVFad
	Forward-mode AD class using dynamic memory allocation and expression templates. More...
class	DynamicStorage
	Derivative array storage class using dynamic memory allocation. More...
class	Expr
	Wrapper for a generic expression template. More...
class	GeneralFad
	Forward-mode AD class templated on the storage for the derivative array. More...
class	Expr< GeneralFad< T, Storage > >
	GeneralFad expression template specialization. More...
class	MemPool
	Memory pool. More...
class	MemPoolManager
	Class to manage memory pools for different Fad dimensions. More...
struct	mp_array
	Dynamic array allocation class that works for any type. More...
struct	mp_array< T, true >
	Dynamic array allocation class that is specialized for scalar i.e., fundamental or built-in types (float, double, etc...). More...
class	MemPoolStorage
	Derivative array storage class using dynamic memory allocation. More...
struct	SFadExprTag
	A tag for specializing Expr for SFad expressions. More...
class	Expr< SFadExprTag< T, Num > >
	Expression template forward-mode AD class with static memory allocation. More...
class	SFad
	Forward-mode AD class using static memory allocation. More...
class	SimpleFad
	Forward-mode AD class using dynamic memory allocation but no expression templates. More...
class	SLFad
	Forward-mode AD class using static memory allocation with long arrays and expression templates. More...
class	StaticStorage
	Derivative array storage class using static memory allocation. More...
class	Vector
	A class for storing a contiguously allocated array of Fad objects. This is a general definition that will work for all Fad types, and is merely a wrapper around std::vector. A specialization for Sacado::Fad::DVFad providing contiguous allocation of values and derivatives is below. More...
class	Vector< OrdinalType, Sacado::Fad::DVFad< ValueType > >
	A class for storing a contiguously allocated array of Fad objects where the values and derivative arrays for each Fad object are stored in contiguous memory. To preserve this structure, many vector operations aren't supported (like resizing). More...
class	VectorDynamicStorage
	Derivative array storage class using dynamic memory allocation. More...
Enumerations
enum	VectorDerivOrientation { Row, Column }
Functions
template<typename ExprT >
bool	operator! (const Expr< ExprT > &expr)
template<typename ExprT >
bool	toBool (const Expr< ExprT > &x)
template<typename ExprT >
std::ostream &	operator<< (std::ostream &os, const Expr< ExprT > &x)
template<typename ValueT >
SimpleFad< ValueT >	operator+ (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	operator- (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	exp (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	log (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	log10 (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	sqrt (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	cos (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	sin (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	tan (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	acos (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	asin (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	atan (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	cosh (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	sinh (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	tanh (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	acosh (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	asinh (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	atanh (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	abs (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	fabs (const SimpleFad< ValueT > &a)
template<typename ValueT >
SimpleFad< ValueT >	operator+ (const SimpleFad< ValueT > &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	operator+ (const typename SimpleFad< ValueT >::value_type &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	operator+ (const SimpleFad< ValueT > &a, const typename SimpleFad< ValueT >::value_type &b)
template<typename ValueT >
SimpleFad< ValueT >	operator- (const SimpleFad< ValueT > &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	operator- (const typename SimpleFad< ValueT >::value_type &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	operator- (const SimpleFad< ValueT > &a, const typename SimpleFad< ValueT >::value_type &b)
template<typename ValueT >
SimpleFad< ValueT >	operator* (const SimpleFad< ValueT > &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	operator* (const typename SimpleFad< ValueT >::value_type &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	operator* (const SimpleFad< ValueT > &a, const typename SimpleFad< ValueT >::value_type &b)
template<typename ValueT >
SimpleFad< ValueT >	operator/ (const SimpleFad< ValueT > &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	operator/ (const typename SimpleFad< ValueT >::value_type &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	operator/ (const SimpleFad< ValueT > &a, const typename SimpleFad< ValueT >::value_type &b)
template<typename ValueT >
SimpleFad< ValueT >	pow (const SimpleFad< ValueT > &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	pow (const typename SimpleFad< ValueT >::value_type &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	pow (const SimpleFad< ValueT > &a, const typename SimpleFad< ValueT >::value_type &b)
template<typename ValueT >
SimpleFad< ValueT >	atan2 (const SimpleFad< ValueT > &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	atan2 (const typename SimpleFad< ValueT >::value_type &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	atan2 (const SimpleFad< ValueT > &a, const typename SimpleFad< ValueT >::value_type &b)
template<typename ValueT >
SimpleFad< ValueT >	max (const SimpleFad< ValueT > &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	max (const typename SimpleFad< ValueT >::value_type &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	max (const SimpleFad< ValueT > &a, const typename SimpleFad< ValueT >::value_type &b)
template<typename ValueT >
SimpleFad< ValueT >	min (const SimpleFad< ValueT > &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	min (const typename SimpleFad< ValueT >::value_type &a, const SimpleFad< ValueT > &b)
template<typename ValueT >
SimpleFad< ValueT >	min (const SimpleFad< ValueT > &a, const typename SimpleFad< ValueT >::value_type &b)
template<typename ValueT >
bool	operator! (const SimpleFad< ValueT > &a)
template<typename T >
bool	toBool (const SimpleFad< T > &x)
template<typename ValueT >
std::ostream &	operator<< (std::ostream &os, const SimpleFad< ValueT > &x)
template<typename T >
Expr< ExpOp< Expr< T > > >	exp (const Expr< T > &)
template<typename T >
SimpleFad< T >	exp (const SimpleFad< T > &)
template<typename T >
Expr< LogOp< Expr< T > > >	log (const Expr< T > &)
template<typename T >
SimpleFad< T >	log (const SimpleFad< T > &)
template<typename T >
Expr< Log10Op< Expr< T > > >	log10 (const Expr< T > &)
template<typename T >
SimpleFad< T >	log10 (const SimpleFad< T > &)
template<typename T >
Expr< SqrtOp< Expr< T > > >	sqrt (const Expr< T > &)
template<typename T >
SimpleFad< T >	sqrt (const SimpleFad< T > &)
template<typename T >
Expr< CosOp< Expr< T > > >	cos (const Expr< T > &)
template<typename T >
SimpleFad< T >	cos (const SimpleFad< T > &)
template<typename T >
Expr< SinOp< Expr< T > > >	sin (const Expr< T > &)
template<typename T >
SimpleFad< T >	sin (const SimpleFad< T > &)
template<typename T >
Expr< TanOp< Expr< T > > >	tan (const Expr< T > &)
template<typename T >
SimpleFad< T >	tan (const SimpleFad< T > &)
template<typename T >
Expr< ACosOp< Expr< T > > >	acos (const Expr< T > &)
template<typename T >
SimpleFad< T >	acos (const SimpleFad< T > &)
template<typename T >
Expr< ASinOp< Expr< T > > >	asin (const Expr< T > &)
template<typename T >
SimpleFad< T >	asin (const SimpleFad< T > &)
template<typename T >
Expr< ATanOp< Expr< T > > >	atan (const Expr< T > &)
template<typename T >
SimpleFad< T >	atan (const SimpleFad< T > &)
template<typename T >
Expr< CoshOp< Expr< T > > >	cosh (const Expr< T > &)
template<typename T >
SimpleFad< T >	cosh (const SimpleFad< T > &)
template<typename T >
Expr< SinhOp< Expr< T > > >	sinh (const Expr< T > &)
template<typename T >
SimpleFad< T >	sinh (const SimpleFad< T > &)
template<typename T >
Expr< TanhOp< Expr< T > > >	tanh (const Expr< T > &)
template<typename T >
SimpleFad< T >	tanh (const SimpleFad< T > &)
template<typename T >
Expr< ACoshOp< Expr< T > > >	acosh (const Expr< T > &)
template<typename T >
SimpleFad< T >	acosh (const SimpleFad< T > &)
template<typename T >
Expr< ASinhOp< Expr< T > > >	asinh (const Expr< T > &)
template<typename T >
SimpleFad< T >	asinh (const SimpleFad< T > &)
template<typename T >
Expr< ATanhOp< Expr< T > > >	atanh (const Expr< T > &)
template<typename T >
SimpleFad< T >	atanh (const SimpleFad< T > &)
template<typename T >
Expr< AbsOp< Expr< T > > >	abs (const Expr< T > &)
template<typename T >
SimpleFad< T >	abs (const SimpleFad< T > &)
template<typename T >
Expr< FAbsOp< Expr< T > > >	fabs (const Expr< T > &)
template<typename T >
SimpleFad< T >	fabs (const SimpleFad< T > &)
template<typename T1 , typename T2 >
Expr< Atan2Op< Expr< T1 > , Expr< T2 > > >	atan2 (const Expr< T1 > &, const Expr< T2 > &)
template<typename T >
Expr< Atan2Op< Expr< T >, Expr < T > > >	atan2 (const Expr< T > &, const Expr< T > &)
template<typename T >
Expr< Atan2Op< typename Expr < T >::value_type, Expr< T > > >	atan2 (const typename Expr< T >::value_type &, const Expr< T > &)
template<typename T >
Expr< Atan2Op< Expr< T > , typename Expr< T > ::value_type > >	atan2 (const Expr< T > &, const typename Expr< T >::value_type &)
template<typename T >
SimpleFad< T >	atan2 (const SimpleFad< T > &, const SimpleFad< T > &)
template<typename T >
SimpleFad< T >	atan2 (const SimpleFad< T > &, const typename SimpleFad< T >::value_type &)
template<typename T >
SimpleFad< T >	atan2 (const typename SimpleFad< T >::value_type &, const SimpleFad< T > &)
template<typename T1 , typename T2 >
Expr< PowerOp< Expr< T1 > , Expr< T2 > > >	pow (const Expr< T1 > &, const Expr< T2 > &)
template<typename T >
Expr< PowerOp< Expr< T >, Expr < T > > >	pow (const Expr< T > &, const Expr< T > &)
template<typename T >
Expr< PowerOp< typename Expr < T >::value_type, Expr< T > > >	pow (const typename Expr< T >::value_type &, const Expr< T > &)
template<typename T >
Expr< PowerOp< Expr< T > , typename Expr< T > ::value_type > >	pow (const Expr< T > &, const typename Expr< T >::value_type &)
template<typename T >
SimpleFad< T >	pow (const SimpleFad< T > &, const SimpleFad< T > &)
template<typename T >
SimpleFad< T >	pow (const SimpleFad< T > &, const typename SimpleFad< T >::value_type &)
template<typename T >
SimpleFad< T >	pow (const typename SimpleFad< T >::value_type &, const SimpleFad< T > &)
template<typename T1 , typename T2 >
Expr< MaxOp< Expr< T1 >, Expr < T2 > > >	max (const Expr< T1 > &, const Expr< T2 > &)
template<typename T >
Expr< MaxOp< Expr< T >, Expr < T > > >	max (const Expr< T > &, const Expr< T > &)
template<typename T >
Expr< MaxOp< typename Expr< T > ::value_type, Expr< T > > >	max (const typename Expr< T >::value_type &, const Expr< T > &)
template<typename T >
Expr< MaxOp< Expr< T > , typename Expr< T > ::value_type > >	max (const Expr< T > &, const typename Expr< T >::value_type &)
template<typename T >
SimpleFad< T >	max (const SimpleFad< T > &, const SimpleFad< T > &)
template<typename T >
SimpleFad< T >	max (const SimpleFad< T > &, const typename SimpleFad< T >::value_type &)
template<typename T >
SimpleFad< T >	max (const typename SimpleFad< T >::value_type &, const SimpleFad< T > &)
template<typename T1 , typename T2 >
Expr< MinOp< Expr< T1 >, Expr < T2 > > >	min (const Expr< T1 > &, const Expr< T2 > &)
template<typename T >
Expr< MinOp< Expr< T >, Expr < T > > >	min (const Expr< T > &, const Expr< T > &)
template<typename T >
Expr< MinOp< typename Expr< T > ::value_type, Expr< T > > >	min (const typename Expr< T >::value_type &, const Expr< T > &)
template<typename T >
Expr< MinOp< Expr< T > , typename Expr< T > ::value_type > >	min (const Expr< T > &, const typename Expr< T >::value_type &)
template<typename T >
SimpleFad< T >	min (const SimpleFad< T > &, const SimpleFad< T > &)
template<typename T >
SimpleFad< T >	min (const SimpleFad< T > &, const typename SimpleFad< T >::value_type &)
template<typename T >
SimpleFad< T >	min (const typename SimpleFad< T >::value_type &, const SimpleFad< T > &)

---

Detailed Description

Namespace for forward-mode AD classes.

---

Enumeration Type Documentation

enum Sacado::Fad::VectorDerivOrientation

Enumerator:

Column

Derivatives are stored row-wise (strided) Derivatives ar stored column-wise (unit stride)