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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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

Definition at line 1926 of file Sacado_Tay_CacheTaylorOps.hpp.

template<typename ExprT >
bool Sacado::Tay::toBool2 ( const Expr< ExprT > &  x)

Definition at line 1941 of file Sacado_Tay_CacheTaylorOps.hpp.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

template<typename T >
Taylor< T > Sacado::Tay::exp ( const Base< Taylor< T > > &  a)

Definition at line 834 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
Taylor< T > Sacado::Tay::log ( const Base< Taylor< T > > &  a)

Definition at line 857 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
Taylor< T > Sacado::Tay::log10 ( const Base< Taylor< T > > &  a)

Definition at line 880 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
Taylor< T > Sacado::Tay::sqrt ( const Base< Taylor< T > > &  a)

Definition at line 888 of file Sacado_Tay_TaylorImp.hpp.

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.

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.

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.

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.

template<typename T >
Taylor< T > Sacado::Tay::cos ( const Base< Taylor< T > > &  a)

Definition at line 994 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
Taylor< T > Sacado::Tay::sin ( const Base< Taylor< T > > &  a)

Definition at line 981 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
Taylor< T > Sacado::Tay::tan ( const Base< Taylor< T > > &  a)

Definition at line 1007 of file Sacado_Tay_TaylorImp.hpp.

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.

template<typename T >
Taylor< T > Sacado::Tay::cosh ( const Base< Taylor< T > > &  a)

Definition at line 1067 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
Taylor< T > Sacado::Tay::sinh ( const Base< Taylor< T > > &  a)

Definition at line 1054 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
Taylor< T > Sacado::Tay::tanh ( const Base< Taylor< T > > &  a)

Definition at line 1080 of file Sacado_Tay_TaylorImp.hpp.

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.

template<typename T >
Taylor< T > Sacado::Tay::acos ( const Base< Taylor< T > > &  a)

Definition at line 1121 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
Taylor< T > Sacado::Tay::asin ( const Base< Taylor< T > > &  a)

Definition at line 1130 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
Taylor< T > Sacado::Tay::atan ( const Base< Taylor< T > > &  a)

Definition at line 1139 of file Sacado_Tay_TaylorImp.hpp.

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.

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.

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.

template<typename T >
Taylor< T > Sacado::Tay::acosh ( const Base< Taylor< T > > &  a)

Definition at line 1185 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
Taylor< T > Sacado::Tay::asinh ( const Base< Taylor< T > > &  a)

Definition at line 1194 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
Taylor< T > Sacado::Tay::atanh ( const Base< Taylor< T > > &  a)

Definition at line 1203 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
Taylor< T > Sacado::Tay::abs ( const Base< Taylor< T > > &  a)

Definition at line 1223 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
Taylor< T > Sacado::Tay::fabs ( const Base< Taylor< T > > &  a)

Definition at line 1212 of file Sacado_Tay_TaylorImp.hpp.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

Definition at line 1370 of file Sacado_Tay_TaylorImp.hpp.

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

Definition at line 1380 of file Sacado_Tay_TaylorImp.hpp.

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

Definition at line 1389 of file Sacado_Tay_TaylorImp.hpp.

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.

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.

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.

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

Definition at line 1426 of file Sacado_Tay_TaylorImp.hpp.

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

Definition at line 1436 of file Sacado_Tay_TaylorImp.hpp.

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

Definition at line 1445 of file Sacado_Tay_TaylorImp.hpp.

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.

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.

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.

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

Definition at line 1544 of file Sacado_Tay_TaylorImp.hpp.

template<typename T >
bool Sacado::Tay::toBool ( const Taylor< T > &  x)

Definition at line 1481 of file Sacado_Tay_TaylorImp.hpp.

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.

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.

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.

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.

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.

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.

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