Sacado::Fad Namespace Reference

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

Namespaces
	Exp
	PowerImpl

Classes
class	ArrayTraits
struct	ArrayValueType
class	BLAS
	Fad specializations for Teuchos::BLAS wrappers. More...
class	DFad
class	DVFad
	Forward-mode AD class using dynamic memory allocation and expression templates. More...
struct	BaseExpr< GeneralFad< T, Fad::VectorDynamicStorage< T > > >
struct	ExprLevel< DVFad< T > >
struct	IsFadExpr< DVFad< T > >
class	DynamicStorage
	Derivative array storage class using dynamic memory allocation. More...
struct	BaseExpr
	Meta-function for determining concrete base expression. More...
struct	ExprSpecDefault
struct	ExprSpec
class	Expr
	Wrapper for a generic expression template. More...
struct	ExprSpec< Expr< ExprT, Spec > >
struct	ExprLevel
	Meta-function for determining nesting with an expression. More...
struct	ExprLevel< Expr< T > >
struct	IsFadExpr
	Determine whether a given type is an expression. More...
struct	IsFadExpr< Expr< T > >
class	ConstExpr
	Constant 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	Fad_LAPACK
	Fad specializations for Teuchos::LAPACK wrappers. More...
class	PowerOp
struct	ExprSpec< PowerOp< ExprT1, ExprT2 > >
struct	ExprSpec< PowerOp< ExprT1, ConstExpr< T2 > > >
struct	ExprSpec< PowerOp< ConstExpr< T1 >, ExprT2 > >
class	Expr< PowerOp< ExprT1, ExprT2, PowerImpl::Simd >, ExprSpecDefault >
class	Expr< PowerOp< ExprT1, ConstExpr< T2 >, PowerImpl::Simd >, ExprSpecDefault >
class	Expr< PowerOp< ConstExpr< T1 >, ExprT2, PowerImpl::Simd >, ExprSpecDefault >
class	Expr< PowerOp< ExprT1, ExprT2, PowerImpl::Scalar >, ExprSpecDefault >
class	Expr< PowerOp< ExprT1, ConstExpr< T2 >, PowerImpl::Scalar >, ExprSpecDefault >
class	Expr< PowerOp< ConstExpr< T1 >, ExprT2, PowerImpl::Scalar >, ExprSpecDefault >
class	Expr< PowerOp< ExprT1, ExprT2, PowerImpl::Nested >, ExprSpecDefault >
class	Expr< PowerOp< ExprT1, ConstExpr< T2 >, PowerImpl::Nested >, ExprSpecDefault >
class	Expr< PowerOp< ConstExpr< T1 >, ExprT2, PowerImpl::Nested >, ExprSpecDefault >
class	Expr< PowerOp< ExprT1, ExprT2, PowerImpl::NestedSimd >, ExprSpecDefault >
class	Expr< PowerOp< ExprT1, ConstExpr< T2 >, PowerImpl::NestedSimd >, ExprSpecDefault >
class	Expr< PowerOp< ConstExpr< T1 >, ExprT2, PowerImpl::NestedSimd >, ExprSpecDefault >
class	IfThenElseOp
struct	ExprSpec< IfThenElseOp< CondT, ExprT1, ExprT2 > >
class	Expr< IfThenElseOp< CondT, ExprT1, ExprT2 >, ExprSpecDefault >
struct	ExprSpec< IfThenElseOp< CondT, ExprT1, ConstExpr< T2 > > >
class	Expr< IfThenElseOp< CondT, ExprT1, ConstExpr< T2 > >, ExprSpecDefault >
struct	ExprSpec< IfThenElseOp< CondT, ConstExpr< T1 >, ExprT2 > >
class	Expr< IfThenElseOp< CondT, ConstExpr< T1 >, ExprT2 >, ExprSpecDefault >
struct	ConditionalReturnType
class	UnaryPlusOp
class	UnaryMinusOp
class	ExpOp
class	LogOp
class	Log10Op
class	SqrtOp
class	CosOp
class	SinOp
class	TanOp
class	ACosOp
class	ASinOp
class	ATanOp
class	CoshOp
class	SinhOp
class	TanhOp
class	ACoshOp
class	ASinhOp
class	ATanhOp
class	AbsOp
class	FAbsOp
class	CbrtOp
class	SafeSqrtOp
class	AdditionOp
class	SubtractionOp
class	Multiplicationp
class	DivisionOp
class	Atan2Op
class	MaxOp
class	MinOp
struct	SFadExprTag
	A tag for specializing Expr for SFad expressions. More...
class	SFad
class	Expr< SFadExprTag< T, Num >, ExprSpecDefault >
	Expression template forward-mode AD class with static memory allocation. More...
class	SimpleFad
	Forward-mode AD class using dynamic memory allocation but no expression templates. More...
class	SLFad
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...
class	ViewFad
class	ViewStorage
	Derivative array storage class that is a view into a contiguous memory allocation. It does not provide proper value semantics and thus should not be used in a general-purpose scalar type. More...

Enumerations
enum	VectorDerivOrientation { Row, Column }

Functions
template<typename T1 , typename T2 >
SACADO_INLINE_FUNCTION mpl::enable_if_c< ExprLevel < Expr< T1 > >::value==ExprLevel < Expr< T2 > >::value, Expr < PowerOp< Expr< T1 >, Expr < T2 > > > >::type	pow (const Expr< T1 > &expr1, const Expr< T2 > &expr2)
template<typename T >
SACADO_INLINE_FUNCTION Expr < PowerOp< Expr< T >, Expr< T > > >	pow (const Expr< T > &expr1, const Expr< T > &expr2)
template<typename T >
SACADO_INLINE_FUNCTION Expr < PowerOp< ConstExpr< typename Expr< T >::value_type >, Expr < T > > >	pow (const typename Expr< T >::value_type &c, const Expr< T > &expr)
template<typename T >
SACADO_INLINE_FUNCTION Expr < PowerOp< Expr< T > , ConstExpr< typename Expr< T > ::value_type > > >	pow (const Expr< T > &expr, const typename Expr< T >::value_type &c)
template<typename T >
SACADO_INLINE_FUNCTION	pow (const typename Expr< T >::scalar_type &c, const Expr< T > &expr)
template<typename T >
SACADO_INLINE_FUNCTION	pow (const Expr< T > &expr, const typename Expr< T >::scalar_type &c)
template<typename CondT , typename T1 , typename T2 >
SACADO_INLINE_FUNCTION mpl::enable_if_c< IsFadExpr < T1 >::value &&IsFadExpr< T2 > ::value &&ExprLevel< T1 > ::value==ExprLevel< T2 > ::value, Expr< IfThenElseOp < CondT, T1, T2 > > >::type	if_then_else (const CondT &cond, const T1 &expr1, const T2 &expr2)
template<typename CondT , typename T >
SACADO_INLINE_FUNCTION Expr < IfThenElseOp< CondT, Expr< T > , Expr< T > > >	if_then_else (const CondT &cond, const Expr< T > &expr1, const Expr< T > &expr2)
template<typename CondT , typename T >
SACADO_INLINE_FUNCTION Expr < IfThenElseOp< CondT, ConstExpr< typename Expr< T > ::value_type >, Expr< T > > >	if_then_else (const CondT &cond, const typename Expr< T >::value_type &c, const Expr< T > &expr)
template<typename CondT , typename T >
SACADO_INLINE_FUNCTION Expr < IfThenElseOp< CondT, Expr< T > , ConstExpr< typename Expr< T > ::value_type > > >	if_then_else (const CondT &cond, const Expr< T > &expr, const typename Expr< T >::value_type &c)
template<typename CondT , typename T >
SACADO_INLINE_FUNCTION mpl::disable_if< std::is_same < typename Expr< T > ::value_type, typename Expr< T > ::scalar_type >, Expr < IfThenElseOp< CondT, ConstExpr< typename Expr< T > ::scalar_type >, Expr< T > > > >::type	if_then_else (const CondT &cond, const typename Expr< T >::scalar_type &c, const Expr< T > &expr)
template<typename CondT , typename T >
SACADO_INLINE_FUNCTION mpl::disable_if< std::is_same < typename Expr< T > ::value_type, typename Expr< T > ::scalar_type >, Expr < IfThenElseOp< CondT, Expr< T > , ConstExpr< typename Expr< T > ::scalar_type > > > >::type	if_then_else (const CondT &cond, const Expr< T > &expr, const typename Expr< T >::scalar_type &c)
template<typename ExprT >
SACADO_INLINE_FUNCTION bool	operator! (const Expr< ExprT > &expr)
template<typename ExprT >
SACADO_INLINE_FUNCTION 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 >	cbrt (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 >
SACADO_INLINE_FUNCTION Expr < SafeSqrtOp< Expr< T > > >	safe_sqrt (const Expr< T > &)

Detailed Description

Namespace for forward-mode AD classes.

Enumeration Type Documentation

enum Sacado::Fad::VectorDerivOrientation

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

Definition at line 42 of file Sacado_Fad_Vector.hpp.

Function Documentation

template<typename T1 , typename T2 >

SACADO_INLINE_FUNCTION mpl::enable_if_c< ExprLevel< Expr<T1> >::value == ExprLevel< Expr<T2> >::value, Expr< PowerOp< Expr<T1>, Expr<T2> > > >::type Sacado::Fad::pow	(	const Expr< T1 > &	expr1,
		const Expr< T2 > &	expr2
	)

Definition at line 2098 of file Sacado_Fad_Ops.hpp.

template<typename T >

SACADO_INLINE_FUNCTION Expr< PowerOp< Expr<T>, Expr<T> > > Sacado::Fad::pow	(	const Expr< T > &	expr1,
		const Expr< T > &	expr2
	)

Definition at line 2108 of file Sacado_Fad_Ops.hpp.

template<typename T >

SACADO_INLINE_FUNCTION Expr< PowerOp< ConstExpr<typename Expr<T>::value_type>, Expr<T> > > Sacado::Fad::pow	(	const typename Expr< T >::value_type &	c,
		const Expr< T > &	expr
	)

Definition at line 2118 of file Sacado_Fad_Ops.hpp.

template<typename T >

SACADO_INLINE_FUNCTION Expr< PowerOp< Expr<T>, ConstExpr<typename Expr<T>::value_type> > > Sacado::Fad::pow	(	const Expr< T > &	expr,
		const typename Expr< T >::value_type &	c
	)

Definition at line 2130 of file Sacado_Fad_Ops.hpp.

template<typename T >

SACADO_INLINE_FUNCTION Sacado::Fad::pow	(	const typename Expr< T >::scalar_type &	c,
		const Expr< T > &	expr
	)

Definition at line 2142 of file Sacado_Fad_Ops.hpp.

template<typename T >

SACADO_INLINE_FUNCTION Sacado::Fad::pow	(	const Expr< T > &	expr,
		const typename Expr< T >::scalar_type &	c
	)

Definition at line 2154 of file Sacado_Fad_Ops.hpp.

template<typename CondT , typename T1 , typename T2 >

SACADO_INLINE_FUNCTION mpl::enable_if_c< IsFadExpr<T1>::value && IsFadExpr<T2>::value && ExprLevel<T1>::value == ExprLevel<T2>::value, Expr< IfThenElseOp< CondT, T1, T2 > > >::type Sacado::Fad::if_then_else	(	const CondT &	cond,
		const T1 &	expr1,
		const T2 &	expr2
	)

Definition at line 2415 of file Sacado_Fad_Ops.hpp.

template<typename CondT , typename T >

SACADO_INLINE_FUNCTION Expr< IfThenElseOp< CondT, Expr<T>, Expr<T> > > Sacado::Fad::if_then_else	(	const CondT &	cond,
		const Expr< T > &	expr1,
		const Expr< T > &	expr2
	)

Definition at line 2425 of file Sacado_Fad_Ops.hpp.

template<typename CondT , typename T >

SACADO_INLINE_FUNCTION Expr< IfThenElseOp< CondT, ConstExpr<typename Expr<T>::value_type>, Expr<T> > > Sacado::Fad::if_then_else	(	const CondT &	cond,
		const typename Expr< T >::value_type &	c,
		const Expr< T > &	expr
	)

Definition at line 2436 of file Sacado_Fad_Ops.hpp.

template<typename CondT , typename T >

SACADO_INLINE_FUNCTION Expr< IfThenElseOp< CondT, Expr<T>, ConstExpr<typename Expr<T>::value_type> > > Sacado::Fad::if_then_else	(	const CondT &	cond,
		const Expr< T > &	expr,
		const typename Expr< T >::value_type &	c
	)

Definition at line 2449 of file Sacado_Fad_Ops.hpp.

template<typename CondT , typename T >

SACADO_INLINE_FUNCTION mpl::disable_if< std::is_same< typename Expr<T>::value_type, typename Expr<T>::scalar_type>, Expr< IfThenElseOp< CondT, ConstExpr<typename Expr<T>::scalar_type>, Expr<T> > > >::type Sacado::Fad::if_then_else	(	const CondT &	cond,
		const typename Expr< T >::scalar_type &	c,
		const Expr< T > &	expr
	)

Definition at line 2466 of file Sacado_Fad_Ops.hpp.

template<typename CondT , typename T >

SACADO_INLINE_FUNCTION mpl::disable_if< std::is_same< typename Expr<T>::value_type, typename Expr<T>::scalar_type>, Expr< IfThenElseOp< CondT, Expr<T>, ConstExpr<typename Expr<T>::scalar_type> > > >::type Sacado::Fad::if_then_else	(	const CondT &	cond,
		const Expr< T > &	expr,
		const typename Expr< T >::scalar_type &	c
	)

Definition at line 2483 of file Sacado_Fad_Ops.hpp.

template<typename ExprT >

SACADO_INLINE_FUNCTION bool Sacado::Fad::operator!

(

const Expr< ExprT > &

expr

)

Definition at line 2557 of file Sacado_Fad_Ops.hpp.

template<typename ExprT >

SACADO_INLINE_FUNCTION bool Sacado::Fad::toBool

(

const Expr< ExprT > &

x

)

Definition at line 2573 of file Sacado_Fad_Ops.hpp.

template<typename ExprT >

std::ostream& Sacado::Fad::operator<<	(	std::ostream &	os,
		const Expr< ExprT > &	x
	)

Definition at line 2628 of file Sacado_Fad_Ops.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator+

(

const SimpleFad< ValueT > &

a

)

Definition at line 44 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator-

(

const SimpleFad< ValueT > &

a

)

Definition at line 50 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::exp

(

const SimpleFad< ValueT > &

a

)

Definition at line 56 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::log

(

const SimpleFad< ValueT > &

a

)

Definition at line 63 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::log10

(

const SimpleFad< ValueT > &

a

)

Definition at line 69 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::sqrt

(

const SimpleFad< ValueT > &

a

)

Definition at line 76 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::cbrt

(

const SimpleFad< ValueT > &

a

)

Definition at line 84 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::cos

(

const SimpleFad< ValueT > &

a

)

Definition at line 92 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::sin

(

const SimpleFad< ValueT > &

a

)

Definition at line 98 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::tan

(

const SimpleFad< ValueT > &

a

)

Definition at line 104 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::acos

(

const SimpleFad< ValueT > &

a

)

Definition at line 112 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::asin

(

const SimpleFad< ValueT > &

a

)

Definition at line 119 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::atan

(

const SimpleFad< ValueT > &

a

)

Definition at line 126 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::cosh

(

const SimpleFad< ValueT > &

a

)

Definition at line 133 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::sinh

(

const SimpleFad< ValueT > &

a

)

Definition at line 139 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::tanh

(

const SimpleFad< ValueT > &

a

)

Definition at line 145 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::acosh

(

const SimpleFad< ValueT > &

a

)

Definition at line 152 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::asinh

(

const SimpleFad< ValueT > &

a

)

Definition at line 159 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::atanh

(

const SimpleFad< ValueT > &

a

)

Definition at line 166 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::abs

(

const SimpleFad< ValueT > &

a

)

Definition at line 173 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::fabs

(

const SimpleFad< ValueT > &

a

)

Definition at line 182 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator+	(	const SimpleFad< ValueT > &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 191 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator+	(	const typename SimpleFad< ValueT >::value_type &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 210 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator+	(	const SimpleFad< ValueT > &	a,
		const typename SimpleFad< ValueT >::value_type &	b
	)

Definition at line 217 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator-	(	const SimpleFad< ValueT > &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 224 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator-	(	const typename SimpleFad< ValueT >::value_type &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 243 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator-	(	const SimpleFad< ValueT > &	a,
		const typename SimpleFad< ValueT >::value_type &	b
	)

Definition at line 250 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator*	(	const SimpleFad< ValueT > &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 257 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator*	(	const typename SimpleFad< ValueT >::value_type &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 277 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator*	(	const SimpleFad< ValueT > &	a,
		const typename SimpleFad< ValueT >::value_type &	b
	)

Definition at line 284 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator/	(	const SimpleFad< ValueT > &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 291 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator/	(	const typename SimpleFad< ValueT >::value_type &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 315 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::operator/	(	const SimpleFad< ValueT > &	a,
		const typename SimpleFad< ValueT >::value_type &	b
	)

Definition at line 322 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::pow	(	const SimpleFad< ValueT > &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 329 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::pow	(	const typename SimpleFad< ValueT >::value_type &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 367 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::pow	(	const SimpleFad< ValueT > &	a,
		const typename SimpleFad< ValueT >::value_type &	b
	)

Definition at line 379 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::atan2	(	const SimpleFad< ValueT > &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 393 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::atan2	(	const typename SimpleFad< ValueT >::value_type &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 421 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::atan2	(	const SimpleFad< ValueT > &	a,
		const typename SimpleFad< ValueT >::value_type &	b
	)

Definition at line 429 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::max	(	const SimpleFad< ValueT > &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 437 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::max	(	const typename SimpleFad< ValueT >::value_type &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 471 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::max	(	const SimpleFad< ValueT > &	a,
		const typename SimpleFad< ValueT >::value_type &	b
	)

Definition at line 486 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::min	(	const SimpleFad< ValueT > &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 501 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::min	(	const typename SimpleFad< ValueT >::value_type &	a,
		const SimpleFad< ValueT > &	b
	)

Definition at line 535 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

SimpleFad<ValueT> Sacado::Fad::min	(	const SimpleFad< ValueT > &	a,
		const typename SimpleFad< ValueT >::value_type &	b
	)

Definition at line 550 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

bool Sacado::Fad::operator! ( const SimpleFad< ValueT > &  a )

inline

Definition at line 616 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename T >

bool Sacado::Fad::toBool

(

const SimpleFad< T > &

x

)

Definition at line 631 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename ValueT >

std::ostream& Sacado::Fad::operator<<	(	std::ostream &	os,
		const SimpleFad< ValueT > &	x
	)

Definition at line 683 of file Sacado_Fad_SimpleFadOps.hpp.

template<typename T >

SACADO_INLINE_FUNCTION Expr< SafeSqrtOp< Expr<T> > > Sacado::Fad::safe_sqrt

(

const Expr< T > &

)