Sacado::Fad::Expr< SFadExprTag< T, Num > >

Sacado::Fad::Expr< SFadExprTag< T, Num > > Class Template Reference

Expression template forward-mode AD class with static memory allocation. More...

#include <Sacado_Fad_SFad.hpp>

List of all members.

Initialization methods

 Expr ()
 Default constructor.
 Expr (const T &x)
 Constructor with supplied value x.
 Expr (const int sz, const T &x)
 Constructor with size sz and value x.
 Expr (const int sz, const int i, const T &x)
 Constructor with size sz, index i, and value x.
 Expr (const Expr &x)
 Copy constructor.
template<typename S>
 Expr (const Expr< S > &x)
 Copy constructor from any Expression object.
 ~Expr ()
 Destructor.
void diff (const int ith, const int n)
 Set Fad object as the ith independent variable.
void resize (int sz)
 Resize derivative array to length sz.
void zero ()
 Zero out the derivative array.

Value accessor methods

const T & val () const
 Returns value.
T & val ()
 Returns value.

Derivative accessor methods

int size () const
 Returns number of derivative components.
bool hasFastAccess () const
 Returns true if derivative array is not empty.
bool isPassive () const
 Returns true if derivative array is empty.
void setIsConstant (bool is_const)
 Set whether variable is constant.
const T * dx () const
 Returns derivative array.
const T & dx (int i) const
 Returns derivative component i with bounds checking.
T & fastAccessDx (int i)
 Returns derivative component i without bounds checking.
const T & fastAccessDx (int i) const
 Returns derivative component i without bounds checking.

Assignment operators

Expr< SFadExprTag< T, Num > > & operator= (const T &val)
 Assignment operator with constant right-hand-side.
Expr< SFadExprTag< T, Num > > & operator= (const Expr< SFadExprTag< T, Num > > &x)
 Assignment with Expr right-hand-side.
template<typename S>
Expr< SFadExprTag< T, Num > > & operator= (const Expr< S > &x)
 Assignment operator with any expression right-hand-side.

Unary operators

Expr< SFadExprTag< T, Num > > & operator+= (const T &x)
 Addition-assignment operator with constant right-hand-side.
Expr< SFadExprTag< T, Num > > & operator-= (const T &x)
 Subtraction-assignment operator with constant right-hand-side.
Expr< SFadExprTag< T, Num > > & operator *= (const T &x)
 Multiplication-assignment operator with constant right-hand-side.
Expr< SFadExprTag< T, Num > > & operator/= (const T &x)
 Division-assignment operator with constant right-hand-side.
template<typename S>
Expr< SFadExprTag< T, Num > > & operator+= (const Expr< S > &x)
 Addition-assignment operator with Expr right-hand-side.
template<typename S>
Expr< SFadExprTag< T, Num > > & operator-= (const Expr< S > &x)
 Subtraction-assignment operator with Expr right-hand-side.
template<typename S>
Expr< SFadExprTag< T, Num > > & operator *= (const Expr< S > &x)
 Multiplication-assignment operator with Expr right-hand-side.
template<typename S>
Expr< SFadExprTag< T, Num > > & operator/= (const Expr< S > &x)
 Division-assignment operator with Expr right-hand-side.

Public Types

typedef T value_type
 Typename of values.

Protected Attributes

T val_
 Value.
T dx_ [Num]
 Derivatives.

Detailed Description

template<typename T, int Num>
class Sacado::Fad::Expr< SFadExprTag< T, Num > >

Expression template forward-mode AD class with static memory allocation.

This classes specializes Expr to SFad expressions.

Definition at line 78 of file Sacado_Fad_SFad.hpp.

Member Typedef Documentation

template<typename T, int Num>
typedef T Sacado::Fad::Expr< SFadExprTag< T, Num > >::value_type

Typename of values.

Definition at line 83 of file Sacado_Fad_SFad.hpp.

Constructor & Destructor Documentation

template<typename T, int Num>
Sacado::Fad::Expr< SFadExprTag< T, Num > >::Expr (  )  [inline]

Default constructor.

Definition at line 91 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
Sacado::Fad::Expr< SFadExprTag< T, Num > >::Expr ( const T &  x  )  [inline]

Constructor with supplied value x.

Initializes value to x and derivative array is empty

Definition at line 97 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
Sacado::Fad::Expr< SFadExprTag< T, Num > >::Expr ( const int  sz,
const T &  x 
)

Constructor with size sz and value x.

Initializes value to x and derivative array 0 of length sz

template<typename T, int Num>
Sacado::Fad::Expr< SFadExprTag< T, Num > >::Expr ( const int  sz,
const int  i,
const T &  x 
)

Constructor with size sz, index i, and value x.

Initializes value to x and derivative array of length sz as row i of the identity matrix, i.e., sets derivative component i to 1 and all other's to zero.

template<typename T, int Num>
Sacado::Fad::Expr< SFadExprTag< T, Num > >::Expr ( const Expr< SFadExprTag< T, Num > > &  x  ) 

Copy constructor.

template<typename T, int Num>
template<typename S>
Sacado::Fad::Expr< SFadExprTag< T, Num > >::Expr ( const Expr< S > &  x  ) 

Copy constructor from any Expression object.

template<typename T, int Num>
Sacado::Fad::Expr< SFadExprTag< T, Num > >::~Expr (  )  [inline]

Destructor.

Definition at line 120 of file Sacado_Fad_SFad.hpp.

Member Function Documentation

template<typename T, int Num>
void Sacado::Fad::Expr< SFadExprTag< T, Num > >::diff ( const int  ith,
const int  n 
)

Set Fad object as the ith independent variable.

Sets the derivative array of length n to the ith row of the identity matrix and has the same affect as the Implementation(const int sz, const int i, const T & x) constructor.

template<typename T, int Num>
void Sacado::Fad::Expr< SFadExprTag< T, Num > >::resize ( int  sz  ) 

Resize derivative array to length sz.

Since the derivative array length is not dynamic, this method throws an error if compiled with SACADO_DEBUG defined.

template<typename T, int Num>
void Sacado::Fad::Expr< SFadExprTag< T, Num > >::zero (  )  [inline]

Zero out the derivative array.

Definition at line 139 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
const T& Sacado::Fad::Expr< SFadExprTag< T, Num > >::val (  )  const [inline]

Returns value.

Definition at line 149 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
T& Sacado::Fad::Expr< SFadExprTag< T, Num > >::val (  )  [inline]

Returns value.

Definition at line 152 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
int Sacado::Fad::Expr< SFadExprTag< T, Num > >::size (  )  const [inline]

Returns number of derivative components.

Definition at line 162 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
bool Sacado::Fad::Expr< SFadExprTag< T, Num > >::hasFastAccess (  )  const [inline]

Returns true if derivative array is not empty.

Definition at line 165 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
bool Sacado::Fad::Expr< SFadExprTag< T, Num > >::isPassive (  )  const [inline]

Returns true if derivative array is empty.

Definition at line 168 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
void Sacado::Fad::Expr< SFadExprTag< T, Num > >::setIsConstant ( bool  is_const  )  [inline]

Set whether variable is constant.

Definition at line 171 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
const T* Sacado::Fad::Expr< SFadExprTag< T, Num > >::dx (  )  const [inline]

Returns derivative array.

Definition at line 174 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
const T& Sacado::Fad::Expr< SFadExprTag< T, Num > >::dx ( int  i  )  const [inline]

Returns derivative component i with bounds checking.

Definition at line 177 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
T& Sacado::Fad::Expr< SFadExprTag< T, Num > >::fastAccessDx ( int  i  )  [inline]

Returns derivative component i without bounds checking.

Definition at line 180 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
const T& Sacado::Fad::Expr< SFadExprTag< T, Num > >::fastAccessDx ( int  i  )  const [inline]

Returns derivative component i without bounds checking.

Definition at line 183 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
Expr< SFadExprTag<T,Num> >& Sacado::Fad::Expr< SFadExprTag< T, Num > >::operator= ( const T &  val  ) 

Assignment operator with constant right-hand-side.

template<typename T, int Num>
Expr< SFadExprTag<T,Num> >& Sacado::Fad::Expr< SFadExprTag< T, Num > >::operator= ( const Expr< SFadExprTag< T, Num > > &  x  ) 

Assignment with Expr right-hand-side.

template<typename T, int Num>
template<typename S>
Expr< SFadExprTag<T,Num> >& Sacado::Fad::Expr< SFadExprTag< T, Num > >::operator= ( const Expr< S > &  x  ) 

Assignment operator with any expression right-hand-side.

template<typename T, int Num>
Expr< SFadExprTag<T,Num> >& Sacado::Fad::Expr< SFadExprTag< T, Num > >::operator+= ( const T &  x  ) 

Addition-assignment operator with constant right-hand-side.

template<typename T, int Num>
Expr< SFadExprTag<T,Num> >& Sacado::Fad::Expr< SFadExprTag< T, Num > >::operator-= ( const T &  x  ) 

Subtraction-assignment operator with constant right-hand-side.

template<typename T, int Num>
Expr< SFadExprTag<T,Num> >& Sacado::Fad::Expr< SFadExprTag< T, Num > >::operator *= ( const T &  x  ) 

Multiplication-assignment operator with constant right-hand-side.

template<typename T, int Num>
Expr< SFadExprTag<T,Num> >& Sacado::Fad::Expr< SFadExprTag< T, Num > >::operator/= ( const T &  x  ) 

Division-assignment operator with constant right-hand-side.

template<typename T, int Num>
template<typename S>
Expr< SFadExprTag<T,Num> >& Sacado::Fad::Expr< SFadExprTag< T, Num > >::operator+= ( const Expr< S > &  x  ) 

Addition-assignment operator with Expr right-hand-side.

template<typename T, int Num>
template<typename S>
Expr< SFadExprTag<T,Num> >& Sacado::Fad::Expr< SFadExprTag< T, Num > >::operator-= ( const Expr< S > &  x  ) 

Subtraction-assignment operator with Expr right-hand-side.

template<typename T, int Num>
template<typename S>
Expr< SFadExprTag<T,Num> >& Sacado::Fad::Expr< SFadExprTag< T, Num > >::operator *= ( const Expr< S > &  x  ) 

Multiplication-assignment operator with Expr right-hand-side.

template<typename T, int Num>
template<typename S>
Expr< SFadExprTag<T,Num> >& Sacado::Fad::Expr< SFadExprTag< T, Num > >::operator/= ( const Expr< S > &  x  ) 

Division-assignment operator with Expr right-hand-side.

Member Data Documentation

template<typename T, int Num>
T Sacado::Fad::Expr< SFadExprTag< T, Num > >::val_ [protected]

Value.

Definition at line 243 of file Sacado_Fad_SFad.hpp.

template<typename T, int Num>
T Sacado::Fad::Expr< SFadExprTag< T, Num > >::dx_[Num] [protected]

Derivatives.

Definition at line 246 of file Sacado_Fad_SFad.hpp.

The documentation for this class was generated from the following file:
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