Sacado::Tay Namespace Reference

Namespace for Taylor polynomial AD classes. More...

Classes
class	UnaryPlusOp
class	UnaryMinusOp
class	CacheTaylor
	Forward-mode AD class using dynamic memory allocation. More...
class	CacheTaylorImplementation
	Taylor polynomial class using caching expression templates. More...
class	Expr< CacheTaylorImplementation< T > >
	CacheTaylor expression template specialization. More...
class	Expr
	Wrapper for a generic expression template. More...
class	ConstExpr
	Constant expression template. More...
class	UnaryExpr
	Unary expression template. More...
class	BinaryExpr
	Binary expression template. More...
class	BinaryExpr< ConstExpr< typename ExprT2::value_type >, ExprT2, Op >
	Binary expression template with first argument constant. More...
class	BinaryExpr< ExprT1, ConstExpr< typename ExprT1::value_type >, Op >
	Binary expression template with second argument constant. More...
class	ExpOp
class	LogOp
class	SqrtOp
class	CosOp
class	SinOp
class	CoshOp
class	SinhOp
class	FAbsOp
class	AdditionOp
class	AdditionOp< ExprT1, ConstExpr< typename ExprT1::value_type > >
class	AdditionOp< ConstExpr< typename ExprT2::value_type >, ExprT2 >
class	SubtractionOp
class	SubtractionOp< ExprT1, ConstExpr< typename ExprT1::value_type > >
class	SubtractionOp< ConstExpr< typename ExprT2::value_type >, ExprT2 >
class	MultiplicationOp
class	MultiplicationOp< ExprT1, ConstExpr< typename ExprT1::value_type > >
class	MultiplicationOp< ConstExpr< typename ExprT2::value_type >, ExprT2 >
class	DivisionOp
class	DivisionOp< ExprT1, ConstExpr< typename ExprT1::value_type > >
class	DivisionOp< ConstExpr< typename ExprT2::value_type >, ExprT2 >
class	MaxOp
class	MaxOp< ExprT1, ConstExpr< typename ExprT1::value_type > >
class	MaxOp< ConstExpr< typename ExprT2::value_type >, ExprT2 >
class	MinOp
class	MinOp< ExprT1, ConstExpr< typename ExprT1::value_type > >
class	MinOp< ConstExpr< typename ExprT2::value_type >, ExprT2 >
class	ASinQuadOp
class	ACosQuadOp
class	ATanQuadOp
struct	PowExprType
struct	PowExprType< typename ExprT2::value_type, ExprT2 >
struct	PowExprType< ExprT1, typename ExprT1::value_type >
struct	Log10ExprType
struct	TanExprType
struct	ASinExprType
struct	ACosExprType
struct	ATanExprType
struct	TanhExprType
class	Taylor
	Taylor polynomial class. More...

Functions
template<typename T1 , typename T2 >
Expr< BinaryExpr< Expr< T1 >, Expr< T2 >, ASinQuadOp > >	asin_quad (const Expr< T1 > &expr1, const Expr< T2 > &expr2)
template<typename T1 , typename T2 >
Expr< BinaryExpr< Expr< T1 >, Expr< T2 >, ACosQuadOp > >	acos_quad (const Expr< T1 > &expr1, const Expr< T2 > &expr2)
template<typename T1 , typename T2 >
Expr< BinaryExpr< Expr< T1 >, Expr< T2 >, ATanQuadOp > >	atan_quad (const Expr< T1 > &expr1, const Expr< T2 > &expr2)
template<typename T1 , typename T2 >
PowExprType< Expr< T1 >, Expr< T2 > >::expr_type	pow (const Expr< T1 > &expr1, const Expr< T2 > &expr2)
template<typename T >
PowExprType< typename Expr< T >::value_type, Expr< T > >::expr_type	pow (const typename Expr< T >::value_type &c, const Expr< T > &expr)
template<typename T >
PowExprType< Expr< T >, typename Expr< T >::value_type >::expr_type	pow (const Expr< T > &expr, const typename Expr< T >::value_type &c)
template<typename T >
Log10ExprType< T >::expr_type	log10 (const Expr< T > &expr)
template<typename T >
TanExprType< T >::expr_type	tan (const Expr< T > &expr)
template<typename T >
ASinExprType< T >::expr_type	asin (const Expr< T > &expr)
template<typename T >
ACosExprType< T >::expr_type	acos (const Expr< T > &expr)
template<typename T >
ATanExprType< T >::expr_type	atan (const Expr< T > &expr)
template<typename T >
TanhExprType< T >::expr_type	tanh (const Expr< T > &expr)
template<typename ExprT >
bool	operator! (const Expr< ExprT > &expr)
template<typename ExprT >
bool	toBool2 (const Expr< ExprT > &x)
template<typename ExprT >
std::ostream &	operator<< (std::ostream &os, const Expr< ExprT > &x)
template<typename T >
CacheTaylor< T >	diff (const CacheTaylor< T > &x, int n=1)
	Compute Taylor series of n-th derivative of x. More...
template<typename T >
Taylor< T >	diff (const Taylor< T > &x, int n=1)
	Compute Taylor series of n-th derivative of x. More...
template<typename T >
Taylor< T >	operator+ (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	operator+ (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	operator+ (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
Taylor< T >	operator- (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	operator- (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	operator- (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
Taylor< T >	operator* (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	operator* (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	operator* (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
Taylor< T >	operator/ (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	operator/ (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	operator/ (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
Taylor< T >	exp (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	log (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	log10 (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	sqrt (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	pow (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	pow (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	pow (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
void	sincos (const Base< Taylor< T > > &a, Taylor< T > &s, Taylor< T > &c)
template<typename T >
Taylor< T >	cos (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	sin (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	tan (const Base< Taylor< T > > &a)
template<typename T >
void	sinhcosh (const Base< Taylor< T > > &a, Taylor< T > &s, Taylor< T > &c)
template<typename T >
Taylor< T >	cosh (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	sinh (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	tanh (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	quad (const typename Taylor< T >::value_type &c0, const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	acos (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	asin (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	atan (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	atan2 (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	atan2 (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	atan2 (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
Taylor< T >	acosh (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	asinh (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	atanh (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	abs (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	fabs (const Base< Taylor< T > > &a)
template<typename T >
Taylor< T >	max (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	max (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	max (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
Taylor< T >	min (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	min (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
Taylor< T >	min (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
bool	operator== (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
bool	operator== (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
bool	operator== (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
bool	operator!= (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
bool	operator!= (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
bool	operator!= (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
bool	operator<= (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
bool	operator<= (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
bool	operator<= (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
bool	operator>= (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
bool	operator>= (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
bool	operator>= (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
bool	operator< (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
bool	operator< (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
bool	operator< (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
bool	operator> (const Base< Taylor< T > > &a, const Base< Taylor< T > > &b)
template<typename T >
bool	operator> (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &b)
template<typename T >
bool	operator> (const Base< Taylor< T > > &a, const typename Taylor< T >::value_type &b)
template<typename T >
std::ostream &	operator<< (std::ostream &os, const Base< Taylor< T > > &a)
template<typename T >
bool	toBool (const Taylor< T > &x)
template<typename T >
bool	operator&& (const Base< Taylor< T > > &xx1, const Base< Taylor< T > > &xx2)
template<typename T >
bool	operator&& (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &xx2)
template<typename T >
bool	operator&& (const Base< Taylor< T > > &xx1, const typename Taylor< T >::value_type &b)
template<typename T >
bool	operator|| (const Base< Taylor< T > > &xx1, const Base< Taylor< T > > &xx2)
template<typename T >
bool	operator|| (const typename Taylor< T >::value_type &a, const Base< Taylor< T > > &xx2)
template<typename T >
bool	operator|| (const Base< Taylor< T > > &xx1, const typename Taylor< T >::value_type &b)

Detailed Description

Namespace for Taylor polynomial AD classes.

Function Documentation

asin_quad()

template<typename T1 , typename T2 >

Expr< BinaryExpr< Expr<T1>, Expr<T2>, ASinQuadOp > > Sacado::Tay::asin_quad ( const Expr< T1 > &  expr1, const Expr< T2 > &  expr2  )

inline

Definition at line 1676 of file Sacado_Tay_CacheTaylorOps.hpp.

acos_quad()

template<typename T1 , typename T2 >

Expr< BinaryExpr< Expr<T1>, Expr<T2>, ACosQuadOp > > Sacado::Tay::acos_quad ( const Expr< T1 > &  expr1, const Expr< T2 > &  expr2  )

inline

Definition at line 1685 of file Sacado_Tay_CacheTaylorOps.hpp.

atan_quad()

template<typename T1 , typename T2 >

Expr< BinaryExpr< Expr<T1>, Expr<T2>, ATanQuadOp > > Sacado::Tay::atan_quad ( const Expr< T1 > &  expr1, const Expr< T2 > &  expr2  )

inline

Definition at line 1694 of file Sacado_Tay_CacheTaylorOps.hpp.

pow() [1/6]

template<typename T1 , typename T2 >

PowExprType< Expr<T1>, Expr<T2> >::expr_type Sacado::Tay::pow ( const Expr< T1 > &  expr1, const Expr< T2 > &  expr2  )

inline

Definition at line 1731 of file Sacado_Tay_CacheTaylorOps.hpp.

pow() [2/6]

template<typename T >

PowExprType< typename Expr<T>::value_type, Expr<T> >::expr_type Sacado::Tay::pow ( const typename Expr< T >::value_type &  c, const Expr< T > &  expr  )

inline

Definition at line 1739 of file Sacado_Tay_CacheTaylorOps.hpp.

pow() [3/6]

template<typename T >

PowExprType< Expr<T>, typename Expr<T>::value_type >::expr_type Sacado::Tay::pow ( const Expr< T > &  expr, const typename Expr< T >::value_type &  c  )

inline

Definition at line 1747 of file Sacado_Tay_CacheTaylorOps.hpp.

log10() [1/2]

template<typename T >

Log10ExprType<T>::expr_type Sacado::Tay::log10 ( const Expr< T > &  expr )

inline

Definition at line 1763 of file Sacado_Tay_CacheTaylorOps.hpp.

tan() [1/2]

template<typename T >

TanExprType<T>::expr_type Sacado::Tay::tan ( const Expr< T > &  expr )

inline

Definition at line 1779 of file Sacado_Tay_CacheTaylorOps.hpp.

asin() [1/2]

template<typename T >

ASinExprType<T>::expr_type Sacado::Tay::asin ( const Expr< T > &  expr )

inline

Definition at line 1798 of file Sacado_Tay_CacheTaylorOps.hpp.

acos() [1/2]

template<typename T >

ACosExprType<T>::expr_type Sacado::Tay::acos ( const Expr< T > &  expr )

inline

Definition at line 1819 of file Sacado_Tay_CacheTaylorOps.hpp.

atan() [1/2]

template<typename T >

ATanExprType<T>::expr_type Sacado::Tay::atan ( const Expr< T > &  expr )

inline

Definition at line 1839 of file Sacado_Tay_CacheTaylorOps.hpp.

tanh() [1/2]

template<typename T >

TanhExprType<T>::expr_type Sacado::Tay::tanh ( const Expr< T > &  expr )

inline

Definition at line 1857 of file Sacado_Tay_CacheTaylorOps.hpp.

operator!()

template<typename ExprT >

bool Sacado::Tay::operator! ( const Expr< ExprT > &  expr )

inline

Definition at line 1926 of file Sacado_Tay_CacheTaylorOps.hpp.

toBool2()

template<typename ExprT >

bool Sacado::Tay::toBool2

(

const Expr< ExprT > &

x

)

Definition at line 1941 of file Sacado_Tay_CacheTaylorOps.hpp.

operator<<() [1/2]

template<typename ExprT >

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

Definition at line 1993 of file Sacado_Tay_CacheTaylorOps.hpp.

diff() [1/2]

template<typename T >

CacheTaylor<T> Sacado::Tay::diff	(	const CacheTaylor< T > &	x,
		int	n = 1
	)

Compute Taylor series of n-th derivative of x.

Definition at line 2009 of file Sacado_Tay_CacheTaylorOps.hpp.

diff() [2/2]

template<typename T >

Taylor<T> Sacado::Tay::diff	(	const Taylor< T > &	x,
		int	n = 1
	)

Compute Taylor series of n-th derivative of x.

Definition at line 288 of file Sacado_Tay_Taylor.hpp.

operator+() [1/3]

template<typename T >

Taylor< T > Sacado::Tay::operator+	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 500 of file Sacado_Tay_TaylorImp.hpp.

operator+() [2/3]

template<typename T >

Taylor< T > Sacado::Tay::operator+	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 540 of file Sacado_Tay_TaylorImp.hpp.

operator+() [3/3]

template<typename T >

Taylor< T > Sacado::Tay::operator+	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 560 of file Sacado_Tay_TaylorImp.hpp.

operator-() [1/3]

template<typename T >

Taylor< T > Sacado::Tay::operator-	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 580 of file Sacado_Tay_TaylorImp.hpp.

operator-() [2/3]

template<typename T >

Taylor< T > Sacado::Tay::operator-	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 620 of file Sacado_Tay_TaylorImp.hpp.

operator-() [3/3]

template<typename T >

Taylor< T > Sacado::Tay::operator-	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 640 of file Sacado_Tay_TaylorImp.hpp.

operator*() [1/3]

template<typename T >

Taylor< T > Sacado::Tay::operator*	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 660 of file Sacado_Tay_TaylorImp.hpp.

operator*() [2/3]

template<typename T >

Taylor< T > Sacado::Tay::operator*	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 703 of file Sacado_Tay_TaylorImp.hpp.

operator*() [3/3]

template<typename T >

Taylor< T > Sacado::Tay::operator*	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 722 of file Sacado_Tay_TaylorImp.hpp.

operator/() [1/3]

template<typename T >

Taylor< T > Sacado::Tay::operator/	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 741 of file Sacado_Tay_TaylorImp.hpp.

operator/() [2/3]

template<typename T >

Taylor< T > Sacado::Tay::operator/	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 790 of file Sacado_Tay_TaylorImp.hpp.

operator/() [3/3]

template<typename T >

Taylor< T > Sacado::Tay::operator/	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 815 of file Sacado_Tay_TaylorImp.hpp.

exp()

template<typename T >

Taylor< T > Sacado::Tay::exp

(

const Base< Taylor< T > > &

a

)

Definition at line 834 of file Sacado_Tay_TaylorImp.hpp.

log()

template<typename T >

Taylor< T > Sacado::Tay::log

(

const Base< Taylor< T > > &

a

)

Definition at line 857 of file Sacado_Tay_TaylorImp.hpp.

log10() [2/2]

template<typename T >

Taylor< T > Sacado::Tay::log10

(

const Base< Taylor< T > > &

a

)

Definition at line 880 of file Sacado_Tay_TaylorImp.hpp.

sqrt()

template<typename T >

Taylor< T > Sacado::Tay::sqrt

(

const Base< Taylor< T > > &

a

)

Definition at line 888 of file Sacado_Tay_TaylorImp.hpp.

pow() [4/6]

template<typename T >

Taylor< T > Sacado::Tay::pow	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 920 of file Sacado_Tay_TaylorImp.hpp.

pow() [5/6]

template<typename T >

Taylor< T > Sacado::Tay::pow	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 930 of file Sacado_Tay_TaylorImp.hpp.

pow() [6/6]

template<typename T >

Taylor< T > Sacado::Tay::pow	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 939 of file Sacado_Tay_TaylorImp.hpp.

sincos()

template<typename T >

void Sacado::Tay::sincos	(	const Base< Taylor< T > > &	a,
		Taylor< T > &	s,
		Taylor< T > &	c
	)

Definition at line 948 of file Sacado_Tay_TaylorImp.hpp.

cos()

template<typename T >

Taylor< T > Sacado::Tay::cos

(

const Base< Taylor< T > > &

a

)

Definition at line 994 of file Sacado_Tay_TaylorImp.hpp.

sin()

template<typename T >

Taylor< T > Sacado::Tay::sin

(

const Base< Taylor< T > > &

a

)

Definition at line 981 of file Sacado_Tay_TaylorImp.hpp.

tan() [2/2]

template<typename T >

Taylor< T > Sacado::Tay::tan

(

const Base< Taylor< T > > &

a

)

Definition at line 1007 of file Sacado_Tay_TaylorImp.hpp.

sinhcosh()

template<typename T >

void Sacado::Tay::sinhcosh	(	const Base< Taylor< T > > &	a,
		Taylor< T > &	s,
		Taylor< T > &	c
	)

Definition at line 1021 of file Sacado_Tay_TaylorImp.hpp.

cosh()

template<typename T >

Taylor< T > Sacado::Tay::cosh

(

const Base< Taylor< T > > &

a

)

Definition at line 1067 of file Sacado_Tay_TaylorImp.hpp.

sinh()

template<typename T >

Taylor< T > Sacado::Tay::sinh

(

const Base< Taylor< T > > &

a

)

Definition at line 1054 of file Sacado_Tay_TaylorImp.hpp.

tanh() [2/2]

template<typename T >

Taylor< T > Sacado::Tay::tanh

(

const Base< Taylor< T > > &

a

)

Definition at line 1080 of file Sacado_Tay_TaylorImp.hpp.

quad()

template<typename T >

Taylor< T > Sacado::Tay::quad	(	const typename Taylor< T >::value_type &	c0,
		const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1094 of file Sacado_Tay_TaylorImp.hpp.

acos() [2/2]

template<typename T >

Taylor< T > Sacado::Tay::acos

(

const Base< Taylor< T > > &

a

)

Definition at line 1121 of file Sacado_Tay_TaylorImp.hpp.

asin() [2/2]

template<typename T >

Taylor< T > Sacado::Tay::asin

(

const Base< Taylor< T > > &

a

)

Definition at line 1130 of file Sacado_Tay_TaylorImp.hpp.

atan() [2/2]

template<typename T >

Taylor< T > Sacado::Tay::atan

(

const Base< Taylor< T > > &

a

)

Definition at line 1139 of file Sacado_Tay_TaylorImp.hpp.

atan2() [1/3]

template<typename T >

Taylor< T > Sacado::Tay::atan2	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1148 of file Sacado_Tay_TaylorImp.hpp.

atan2() [2/3]

template<typename T >

Taylor< T > Sacado::Tay::atan2	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1161 of file Sacado_Tay_TaylorImp.hpp.

atan2() [3/3]

template<typename T >

Taylor< T > Sacado::Tay::atan2	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 1173 of file Sacado_Tay_TaylorImp.hpp.

acosh()

template<typename T >

Taylor< T > Sacado::Tay::acosh

(

const Base< Taylor< T > > &

a

)

Definition at line 1185 of file Sacado_Tay_TaylorImp.hpp.

asinh()

template<typename T >

Taylor< T > Sacado::Tay::asinh

(

const Base< Taylor< T > > &

a

)

Definition at line 1194 of file Sacado_Tay_TaylorImp.hpp.

atanh()

template<typename T >

Taylor< T > Sacado::Tay::atanh

(

const Base< Taylor< T > > &

a

)

Definition at line 1203 of file Sacado_Tay_TaylorImp.hpp.

abs()

template<typename T >

Taylor< T > Sacado::Tay::abs

(

const Base< Taylor< T > > &

a

)

Definition at line 1223 of file Sacado_Tay_TaylorImp.hpp.

fabs()

template<typename T >

Taylor< T > Sacado::Tay::fabs

(

const Base< Taylor< T > > &

a

)

Definition at line 1212 of file Sacado_Tay_TaylorImp.hpp.

max() [1/3]

template<typename T >

Taylor< T > Sacado::Tay::max	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1234 of file Sacado_Tay_TaylorImp.hpp.

max() [2/3]

template<typename T >

Taylor< T > Sacado::Tay::max	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1248 of file Sacado_Tay_TaylorImp.hpp.

max() [3/3]

template<typename T >

Taylor< T > Sacado::Tay::max	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 1261 of file Sacado_Tay_TaylorImp.hpp.

min() [1/3]

template<typename T >

Taylor< T > Sacado::Tay::min	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1274 of file Sacado_Tay_TaylorImp.hpp.

min() [2/3]

template<typename T >

Taylor< T > Sacado::Tay::min	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1288 of file Sacado_Tay_TaylorImp.hpp.

min() [3/3]

template<typename T >

Taylor< T > Sacado::Tay::min	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 1301 of file Sacado_Tay_TaylorImp.hpp.

operator==() [1/3]

template<typename T >

bool Sacado::Tay::operator==	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1314 of file Sacado_Tay_TaylorImp.hpp.

operator==() [2/3]

template<typename T >

bool Sacado::Tay::operator==	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1324 of file Sacado_Tay_TaylorImp.hpp.

operator==() [3/3]

template<typename T >

bool Sacado::Tay::operator==	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 1333 of file Sacado_Tay_TaylorImp.hpp.

operator!=() [1/3]

template<typename T >

bool Sacado::Tay::operator!=	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1342 of file Sacado_Tay_TaylorImp.hpp.

operator!=() [2/3]

template<typename T >

bool Sacado::Tay::operator!=	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1352 of file Sacado_Tay_TaylorImp.hpp.

operator!=() [3/3]

template<typename T >

bool Sacado::Tay::operator!=	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 1361 of file Sacado_Tay_TaylorImp.hpp.

operator<=() [1/3]

template<typename T >

bool Sacado::Tay::operator<=	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1369 of file Sacado_Tay_TaylorImp.hpp.

operator<=() [2/3]

template<typename T >

bool Sacado::Tay::operator<=	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1379 of file Sacado_Tay_TaylorImp.hpp.

operator<=() [3/3]

template<typename T >

bool Sacado::Tay::operator<=	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 1388 of file Sacado_Tay_TaylorImp.hpp.

operator>=() [1/3]

template<typename T >

bool Sacado::Tay::operator>=	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1398 of file Sacado_Tay_TaylorImp.hpp.

operator>=() [2/3]

template<typename T >

bool Sacado::Tay::operator>=	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1408 of file Sacado_Tay_TaylorImp.hpp.

operator>=() [3/3]

template<typename T >

bool Sacado::Tay::operator>=	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 1417 of file Sacado_Tay_TaylorImp.hpp.

operator<() [1/3]

template<typename T >

bool Sacado::Tay::operator<	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1425 of file Sacado_Tay_TaylorImp.hpp.

operator<() [2/3]

template<typename T >

bool Sacado::Tay::operator<	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1435 of file Sacado_Tay_TaylorImp.hpp.

operator<() [3/3]

template<typename T >

bool Sacado::Tay::operator<	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 1444 of file Sacado_Tay_TaylorImp.hpp.

operator>() [1/3]

template<typename T >

bool Sacado::Tay::operator>	(	const Base< Taylor< T > > &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1454 of file Sacado_Tay_TaylorImp.hpp.

operator>() [2/3]

template<typename T >

bool Sacado::Tay::operator>	(	const typename Taylor< T >::value_type &	a,
		const Base< Taylor< T > > &	b
	)

Definition at line 1464 of file Sacado_Tay_TaylorImp.hpp.

operator>() [3/3]

template<typename T >

bool Sacado::Tay::operator>	(	const Base< Taylor< T > > &	a,
		const typename Taylor< T >::value_type &	b
	)

Definition at line 1473 of file Sacado_Tay_TaylorImp.hpp.

operator<<() [2/2]

template<typename T >

std::ostream & Sacado::Tay::operator<<	(	std::ostream &	os,
		const Base< Taylor< T > > &	a
	)

Definition at line 1543 of file Sacado_Tay_TaylorImp.hpp.

toBool()

template<typename T >

bool Sacado::Tay::toBool

(

const Taylor< T > &

x

)

Definition at line 1481 of file Sacado_Tay_TaylorImp.hpp.

operator&&() [1/3]

template<typename T >

bool Sacado::Tay::operator&& ( const Base< Taylor< T > > &  xx1, const Base< Taylor< T > > &  xx2  )

inline

Definition at line 1490 of file Sacado_Tay_TaylorImp.hpp.

operator&&() [2/3]

template<typename T >

bool Sacado::Tay::operator&& ( const typename Taylor< T >::value_type &  a, const Base< Taylor< T > > &  xx2  )

inline

Definition at line 1499 of file Sacado_Tay_TaylorImp.hpp.

operator&&() [3/3]

template<typename T >

bool Sacado::Tay::operator&& ( const Base< Taylor< T > > &  xx1, const typename Taylor< T >::value_type &  b  )

inline

Definition at line 1508 of file Sacado_Tay_TaylorImp.hpp.

operator||() [1/3]

template<typename T >

bool Sacado::Tay::operator|| ( const Base< Taylor< T > > &  xx1, const Base< Taylor< T > > &  xx2  )

inline

Definition at line 1517 of file Sacado_Tay_TaylorImp.hpp.

operator||() [2/3]

template<typename T >

bool Sacado::Tay::operator|| ( const typename Taylor< T >::value_type &  a, const Base< Taylor< T > > &  xx2  )

inline

Definition at line 1526 of file Sacado_Tay_TaylorImp.hpp.

operator||() [3/3]

template<typename T >

bool Sacado::Tay::operator|| ( const Base< Taylor< T > > &  xx1, const typename Taylor< T >::value_type &  b  )

inline

Definition at line 1535 of file Sacado_Tay_TaylorImp.hpp.