#include <Exp.hpp>

Inheritance diagram for atl::Exp< REAL_T, EXPR >:

Public Types
typedef REAL_T	BASE_TYPE

typedef REAL_T	BASE_TYPE

Public Member Functions
	Exp (const ExpressionBase< REAL_T, EXPR > &a)

const REAL_T	GetValue () const

const REAL_T	GetValue (size_t i, size_t j=0) const

void	PushIds (typename atl::StackEntry< REAL_T >::vi_storage &ids) const

void	PushIds (typename atl::StackEntry< REAL_T >::vi_storage &ids, size_t i, size_t j=0) const

const REAL_T	EvaluateDerivative (uint32_t id) const

REAL_T	EvaluateDerivative (uint32_t a, uint32_t b) const

REAL_T	EvaluateDerivative (uint32_t x, uint32_t y, uint32_t z) const

const REAL_T	EvaluateDerivative (uint32_t id, size_t i, size_t j=0) const

REAL_T	EvaluateDerivative (uint32_t a, uint32_t b, size_t i, size_t j=0) const

REAL_T	EvaluateDerivative (uint32_t x, uint32_t y, uint32_t z, size_t i, size_t j=0) const

size_t	GetColumns () const

size_t	GetRows () const

bool	IsScalar () const

	Exp (const ExpressionBase< REAL_T, EXPR > &a)

const REAL_T	GetValue () const

const REAL_T	GetValue (size_t i, size_t j=0) const

bool	IsNonlinear () const

void	PushIds (typename atl::StackEntry< REAL_T >::vi_storage &ids) const

void	PushIds (typename atl::StackEntry< REAL_T >::vi_storage &ids, size_t i, size_t j=0) const

const REAL_T	EvaluateDerivative (uint32_t x) const

REAL_T	EvaluateDerivative (uint32_t x, uint32_t y) const

REAL_T	EvaluateDerivative (uint32_t x, uint32_t y, uint32_t z) const

const REAL_T	EvaluateDerivative (uint32_t x, size_t i, size_t j=0) const

REAL_T	EvaluateDerivative (uint32_t x, uint32_t y, size_t i, size_t j=0) const

REAL_T	EvaluateDerivative (uint32_t x, uint32_t y, uint32_t z, size_t i, size_t j=0) const

size_t	GetRows () const

bool	IsScalar () const

const std::string	ToExpressionTemplateString () const

Public Member Functions inherited from atl::ExpressionBase< REAL_T, Exp< REAL_T, EXPR > >
const Exp< REAL_T, EXPR > &	Cast () const

const Exp< REAL_T, EXPR > &	Cast () const

const REAL_T	GetValue () const

const REAL_T	GetValue (size_t i, size_t j=0) const

const REAL_T	GetValue () const

const REAL_T	GetValue (size_t i, size_t j=0) const

bool	IsNonlinear () const

bool	IsNonlinear () const

void	PushIds (typename atl::StackEntry< REAL_T >::vi_storage &ids) const

void	PushIds (typename atl::StackEntry< REAL_T >::vi_storage &ids, size_t i, size_t j=0) const

void	PushIds (typename atl::StackEntry< REAL_T >::vi_storage &ids) const

void	PushIds (typename atl::StackEntry< REAL_T >::vi_storage &ids, size_t i, size_t j=0) const

REAL_T	EvaluateDerivative (uint32_t a) const

REAL_T	EvaluateDerivative (uint32_t a, uint32_t b) const

REAL_T	EvaluateDerivative (uint32_t x, uint32_t y, uint32_t z) const

REAL_T	EvaluateDerivative (uint32_t a, size_t i, size_t j=0) const

REAL_T	EvaluateDerivative (uint32_t a, uint32_t b, size_t i, size_t j=0) const

REAL_T	EvaluateDerivative (uint32_t x, uint32_t y, uint32_t z, size_t i, size_t j=0) const

REAL_T	EvaluateDerivative (uint32_t x) const

REAL_T	EvaluateDerivative (uint32_t x, uint32_t y) const

REAL_T	EvaluateDerivative (uint32_t x, uint32_t y, uint32_t z) const

REAL_T	EvaluateDerivative (uint32_t x, size_t i, size_t j=0) const

REAL_T	EvaluateDerivative (uint32_t x, uint32_t y, size_t i, size_t j=0) const

REAL_T	EvaluateDerivative (uint32_t x, uint32_t y, uint32_t z, size_t i, size_t j=0) const

const ExpressionBase &	operator= (const ExpressionBase &exp) const

const ExpressionBase &	operator= (const ExpressionBase &exp) const

size_t	GetColumns () const

size_t	GetColumns () const

size_t	GetRows () const

size_t	GetRows () const

bool	IsScalar () const

bool	IsScalar () const

std::string	ToExpressionTemplateString () const

Public Attributes
const EXPR &	expr_m

Detailed Description

template<class REAL_T, class EXPR>
struct atl::Exp< REAL_T, EXPR >

Expression template to handle natural exponential function for variable or container expressions.

\( e^{f(x,y,z)} \)

or

\( e^{f_{i,j}(x,y)} \)

Constructor & Destructor Documentation

template<class REAL_T , class EXPR >

atl::Exp< REAL_T, EXPR >::Exp ( const ExpressionBase< REAL_T, EXPR > & a )

inline

Constructor.

Parameters

a

Member Function Documentation

template<class REAL_T , class EXPR >

const REAL_T atl::Exp< REAL_T, EXPR >::EvaluateDerivative ( uint32_t x ) const

inline

Evaluates the first-order derivative with respect to x.

\( e^{f(x)}\,\left({{d}\over{d\,x}}\,f(x)\right)\)

Parameters

x

Returns

template<class REAL_T , class EXPR >

REAL_T atl::Exp< REAL_T, EXPR >::EvaluateDerivative	(	uint32_t	x,
		uint32_t	y
	)		const

inline

Evaluates the second-order derivative with respect to x and y.

\( e^{f(x,y)}\,\left({{d}\over{d\,x}}\,f(x,y)\right)\, \left({{d}\over{d\,y}}\,f(x,y)\right)+e^{f(x,y)}\,\left( {{d^2}\over{d\,x\,d\,y}}\,f(x,y)\right) \)

Parameters

x
y

Returns

template<class REAL_T , class EXPR >

REAL_T atl::Exp< REAL_T, EXPR >::EvaluateDerivative	(	uint32_t	x,
		uint32_t	y,
		uint32_t	z
	)		const

inline

Evaluates the third-order derivative with respect to x, y, and z.

\( e^{f\left(x , y , z\right)}\,\left({{d}\over{d\,x}}\,f\left(x , y , z\right)\right)\,\left({{d}\over{d\,y}}\,f\left(x , y , z\right) \right)\,\left({{d}\over{d\,z}}\,f\left(x , y , z\right)\right)+e^{f \left(x , y , z\right)}\,\left({{d^2}\over{d\,x\,d\,y}}\,f\left(x , y , z\right)\right)\,\left({{d}\over{d\,z}}\,f\left(x , y , z\right) \right)+ \\ e^{f\left(x , y , z\right)}\,\left({{d}\over{d\,x}}\,f\left( x , y , z\right)\right)\,\left({{d^2}\over{d\,y\,d\,z}}\,f\left(x , y , z\right)\right)+e^{f\left(x , y , z\right)}\,\left({{d^2}\over{d \,x\,d\,z}}\,f\left(x , y , z\right)\right)\,\left({{d}\over{d\,y}} \,f\left(x , y , z\right)\right)+e^{f\left(x , y , z\right)}\,\left( {{d^3}\over{d\,x\,d\,y\,d\,z}}\,f\left(x , y , z\right)\right) \)

Parameters

x
y
z

Returns

template<class REAL_T , class EXPR >

const REAL_T atl::Exp< REAL_T, EXPR >::EvaluateDerivative	(	uint32_t	x,
		size_t	i,
		size_t	j = `0`
	)		const

inline

Evaluates the first-order derivative with respect to x at index {i,j}.

\( e^{f_{i,j}(x)}\,\left({{d}\over{d\,x}}\,f_{i,j}(x)\right)\)

Parameters

x
i
j

Returns

template<class REAL_T , class EXPR >

REAL_T atl::Exp< REAL_T, EXPR >::EvaluateDerivative	(	uint32_t	x,
		uint32_t	y,
		size_t	i,
		size_t	j = `0`
	)		const

inline

Evaluates the second-order derivative with respect to x and y at index {i,j}.

\( e^{f_{i,j}(x,y)}\,\left({{d}\over{d\,x}}\,f_{i,j}(x,y)\right)\, \left({{d}\over{d\,y}}\,f_{i,j}(x,y)\right)+e^{f_{i,j}(x,y)}\,\left( {{d^2}\over{d\,x\,d\,y}}\,f_{i,j}(x,y)\right) \)

Parameters

x
y
i
j

Returns

template<class REAL_T , class EXPR >

REAL_T atl::Exp< REAL_T, EXPR >::EvaluateDerivative	(	uint32_t	x,
		uint32_t	y,
		uint32_t	z,
		size_t	i,
		size_t	j = `0`
	)		const

inline

Evaluates the third-order derivative with respect to x, y, and z at index {i,j}.

\( e^{f_{i,j}(x,y,z)}\,\left({{d}\over{d\,x}}\,f_{i,j}(x,y,z)\right)\, \left({{d}\over{d\,y}}\,f_{i,j}(x,y,z)\right)\,\left({{d}\over{d\,z }}\,f_{i,j}(x,y,z)\right)+e^{f_{i,j}(x,y,z)}\,\left({{d^2}\over{d\,x \,d\,y}}\,f_{i,j}(x,y,z)\right)\,\left({{d}\over{d\,z}}\,f_{i,j}(x,y ,z)\right)+ \\ e^{f_{i,j}(x,y,z)}\,\left({{d}\over{d\,x}}\,f_{i,j}(x,y,z )\right)\,\left({{d^2}\over{d\,y\,d\,z}}\,f_{i,j}(x,y,z)\right)+e^{f _{i,j}(x,y,z)}\,\left({{d^2}\over{d\,x\,d\,z}}\,f_{i,j}(x,y,z) \right)\,\left({{d}\over{d\,y}}\,f_{i,j}(x,y,z)\right)+e^{f_{i,j}(x, y,z)}\,\left({{d^3}\over{d\,x\,d\,y\,d\,z}}\,f_{i,j}(x,y,z)\right) \)

Parameters

x
y
z
i
j

Returns

template<class REAL_T , class EXPR >

size_t atl::Exp< REAL_T, EXPR >::GetRows ( ) const

inline

Return the number of rows.

Returns

template<class REAL_T , class EXPR >

const REAL_T atl::Exp< REAL_T, EXPR >::GetValue ( ) const

inline

Computes the natural exponential function for the evaluated expression.

Returns

template<class REAL_T , class EXPR >

const REAL_T atl::Exp< REAL_T, EXPR >::GetValue	(	size_t	i,
		size_t	j = `0`
	)		const

inline

Computes the natural exponential function for the evaluated expression at index {i,j}.

Returns

template<class REAL_T , class EXPR >

bool atl::Exp< REAL_T, EXPR >::IsNonlinear ( ) const

inline

Returns true.

Returns

template<class REAL_T , class EXPR >

bool atl::Exp< REAL_T, EXPR >::IsScalar ( ) const

inline

True if this expression is a scalar.

Returns

template<class REAL_T , class EXPR >

void atl::Exp< REAL_T, EXPR >::PushIds ( typename atl::StackEntry< REAL_T >::vi_storage & ids ) const

inline

Push variable info into a set.

Parameters

ids

template<class REAL_T , class EXPR >

void atl::Exp< REAL_T, EXPR >::PushIds	(	typename atl::StackEntry< REAL_T >::vi_storage &	ids,
		size_t	i,
		size_t	j = `0`
	)		const

inline

Push variable info into a set at index {i,j}.

Parameters

ids
i
j

template<class REAL_T , class EXPR >

const std::string atl::Exp< REAL_T, EXPR >::ToExpressionTemplateString ( ) const

inline

Create a string representation of this expression template.

Returns

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

ATL2/Exp.hpp

Public Types

Public Member Functions

Public Attributes

Detailed Description

template<class REAL_T, class EXPR> struct atl::Exp< REAL_T, EXPR >

Constructor & Destructor Documentation

Member Function Documentation

template<class REAL_T, class EXPR>
struct atl::Exp< REAL_T, EXPR >