#include <Multiply.hpp>

Inheritance diagram for atl::Multiply< REAL_T, LHS, RHS >:

Public Member Functions
	Multiply (const ExpressionBase< REAL_T, LHS > &lhs, const ExpressionBase< REAL_T, RHS > &rhs)

	Multiply (const REAL_T &lhs, const ExpressionBase< REAL_T, RHS > &rhs)

	Multiply (const ExpressionBase< REAL_T, LHS > &lhs, const REAL_T &rhs)

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

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

size_t	GetColumns () const

size_t	GetRows () const

bool	IsScalar () const

	Multiply (const ExpressionBase< REAL_T, LHS > &lhs, const ExpressionBase< REAL_T, RHS > &rhs)

	Multiply (const REAL_T &lhs, const ExpressionBase< REAL_T, RHS > &rhs)

	Multiply (const ExpressionBase< REAL_T, LHS > &lhs, const REAL_T &rhs)

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

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	GetColumns () const

size_t	GetRows () const

bool	IsScalar () const

const std::string	ToExpressionTemplateString () const

Public Member Functions inherited from atl::ExpressionBase< REAL_T, Multiply< REAL_T, LHS, RHS > >
const Multiply< REAL_T, LHS, RHS > &	Cast () const

const Multiply< REAL_T, LHS, RHS > &	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
bool	mm_multiply = false

atl::Real< REAL_T >	real_m

const LHS &	lhs_m

const RHS &	rhs_m

REAL_T	value_m

Detailed Description

template<class REAL_T, class LHS, class RHS>
struct atl::Multiply< REAL_T, LHS, RHS >

Expression template to handle multiplication.

\( f(x) * g(x) \)

or

\( f_{i,j}(x) * g_{i,j}(x) \)

Constructor & Destructor Documentation

template<class REAL_T, class LHS , class RHS >

atl::Multiply< REAL_T, LHS, RHS >::Multiply	(	const ExpressionBase< REAL_T, LHS > &	lhs,
		const ExpressionBase< REAL_T, RHS > &	rhs
	)

inline

Constructor for Variable types.

Parameters

lhs
rhs

template<class REAL_T, class LHS , class RHS >

atl::Multiply< REAL_T, LHS, RHS >::Multiply	(	const REAL_T &	lhs,
		const ExpressionBase< REAL_T, RHS > &	rhs
	)

inline

Constructor for a real and Variable type.

Parameters

lhs
rhs

template<class REAL_T, class LHS , class RHS >

atl::Multiply< REAL_T, LHS, RHS >::Multiply	(	const ExpressionBase< REAL_T, LHS > &	lhs,
		const REAL_T &	rhs
	)

inline

Constructor for Variable and real type.

Parameters

lhs
rhs

Member Function Documentation

template<class REAL_T, class LHS , class RHS >

const REAL_T atl::Multiply< REAL_T, LHS, RHS >::EvaluateDerivative ( uint32_t x ) const

inline

Evaluates the derivative of this expression with respect to x.

\(f\left(x\right)\,\left({{d}\over{d\,x}}\,g\left(x\right)\right)+g\left(x\right)\,\left({{d}\over{d\,x}}\,f\left(x\right)\right)\)

Parameters

x

Returns

template<class REAL_T, class LHS , class RHS >

REAL_T atl::Multiply< REAL_T, LHS, RHS >::EvaluateDerivative	(	uint32_t	x,
		uint32_t	y
	)		const

inline

Evaluates the second-order mixed partial derivative of this expression with respect to x and y.

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

Parameters

x
y

Returns

template<class REAL_T, class LHS , class RHS >

REAL_T atl::Multiply< REAL_T, LHS, RHS >::EvaluateDerivative	(	uint32_t	x,
		uint32_t	y,
		uint32_t	z
	)		const

inline

Evaluates the third-order mixed partial derivative of this expression with respect to x, y, and z.

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

Parameters

x
y
z

Returns

template<class REAL_T, class LHS , class RHS >

REAL_T atl::Multiply< REAL_T, LHS, RHS >::EvaluateDerivative	(	uint32_t	x,
		size_t	i,
		size_t	j = `0`
	)		const

inline

Evaluates the derivative of this expression with respect to x at index {i,j}.

\(f_{i,j}(x)\,\left({{d}\over{d\,x}}\,g_{i,j}(x)\right)+g_{i,j}(x)\, \left({{d}\over{d\,x}}\,f_{i,j}(x)\right)\)

Parameters

x

Returns

template<class REAL_T, class LHS , class RHS >

REAL_T atl::Multiply< REAL_T, LHS, RHS >::EvaluateDerivative	(	uint32_t	x,
		uint32_t	y,
		size_t	i,
		size_t	j = `0`
	)		const

inline

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

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

Parameters

x
y
i
j

Returns

template<class REAL_T, class LHS , class RHS >

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

inline

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

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

Parameters

x
y
z
i
j

Returns

template<class REAL_T, class LHS , class RHS >

size_t atl::Multiply< REAL_T, LHS, RHS >::GetColumns ( ) const

inline

Return the number of columns.

Returns

template<class REAL_T, class LHS , class RHS >

size_t atl::Multiply< REAL_T, LHS, RHS >::GetRows ( ) const

inline

Return the number of rows.

Returns

template<class REAL_T, class LHS , class RHS >

const REAL_T atl::Multiply< REAL_T, LHS, RHS >::GetValue ( ) const

inline

Compute the value of this expression.

Returns

template<class REAL_T, class LHS , class RHS >

const REAL_T atl::Multiply< REAL_T, LHS, RHS >::GetValue	(	size_t	i,
		size_t	j = `0`
	)		const

inline

Compute the value of this expression at index {i,j}.

Parameters

i
j

Returns

template<class REAL_T, class LHS , class RHS >

bool atl::Multiply< REAL_T, LHS, RHS >::IsNonlinear ( ) const

inline

Returns true if the left or right side is nonlinear, else false.

Returns

template<class REAL_T, class LHS , class RHS >

bool atl::Multiply< REAL_T, LHS, RHS >::IsScalar ( ) const

inline

True if this expression is a scalar.

Returns

template<class REAL_T, class LHS , class RHS >

void atl::Multiply< REAL_T, LHS, RHS >::PushIds ( typename atl::StackEntry< REAL_T >::vi_storage & ids ) const

inline

Push variable info into a set.

Parameters

ids

template<class REAL_T, class LHS , class RHS >

void atl::Multiply< REAL_T, LHS, RHS >::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 LHS , class RHS >

const std::string atl::Multiply< REAL_T, LHS, RHS >::ToExpressionTemplateString ( ) const

inline

Create a string representation of this expression template.

Returns

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

ATL2/Multiply.hpp

Public Member Functions

Public Attributes

Detailed Description

template<class REAL_T, class LHS, class RHS> struct atl::Multiply< REAL_T, LHS, RHS >

Constructor & Destructor Documentation

Member Function Documentation

template<class REAL_T, class LHS, class RHS>
struct atl::Multiply< REAL_T, LHS, RHS >