#include <Pow.hpp>

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

Public Types
typedef REAL_T	BASE_TYPE

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

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

	Pow (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

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, Pow< REAL_T, LHS, RHS > >
const Pow< REAL_T, LHS, RHS > &	Cast () const

const Pow< 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
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::Pow< REAL_T, LHS, RHS >

Expression template to handle pow for variable or container expressions.

\( f(x)^{g(x)} \)

or

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

Constructor & Destructor Documentation

template<class REAL_T, class LHS , class RHS >

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

inline

Constructor for two expression template types.

Parameters

lhs
rhs

template<class REAL_T, class LHS , class RHS >

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

inline

Constructor for a real and expression template type.

Parameters

lhs
rhs

template<class REAL_T, class LHS , class RHS >

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

inline

Constructor for a expression template type and a real type.

Parameters

lhs
rhs

Member Function Documentation

template<class REAL_T, class LHS , class RHS >

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

inline

Evaluates the first-order derivative with respect to x.

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

Parameters

x

Returns

template<class REAL_T, class LHS , class RHS >

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

inline

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

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

Parameters

x
y

Returns

template<class REAL_T, class LHS , class RHS >

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

inline

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

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

Parameters

x
y
z

Returns

template<class REAL_T, class LHS , class RHS >

REAL_T atl::Pow< REAL_T, LHS, RHS >::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}.

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

Parameters

x
i
j

Returns

template<class REAL_T, class LHS , class RHS >

REAL_T atl::Pow< REAL_T, LHS, RHS >::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}.

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

Parameters

x
y
i
j

Returns

template<class REAL_T, class LHS , class RHS >

REAL_T atl::Pow< 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 derivative with respect to x, y, and z at index {i,j}.

\(f_{i,j}(x,y,z)^{g_{i,j}(x,y,z)}\,\left(-{{{{d}\over{d\,x}}\,f_{i,j} (x,y,z)\,\left({{d}\over{d\,y}}\,f_{i,j}(x,y,z)\right)\,\left({{d }\over{d\,z}}\,g_{i,j}(x,y,z)\right)}\over{f_{i,j}(x,y,z)^2}}+{{{{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)}\over{f_{i,j}(x,y,z)}}+{{{{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)}\over{f _{i,j}(x,y,z)}}-{{{{d}\over{d\,x}}\,f_{i,j}(x,y,z)\,\left({{d}\over{ d\,z}}\,f_{i,j}(x,y,z)\right)\,\left({{d}\over{d\,y}}\,g_{i,j}(x,y,z )\right)}\over{f_{i,j}(x,y,z)^2}}+ \\ {{{{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)}\over{f_{i,j }(x,y,z)}}+{{{{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)}\over{f_{i,j}(x,y,z)}}+\log 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)}\over{f_{i,j}(x,y,z)}}-{{{{d}\over{d\,y}}\,f _{i,j}(x,y,z)\,\left({{d}\over{d\,z}}\,f_{i,j}(x,y,z)\right)\,\left( {{d}\over{d\,x}}\,g_{i,j}(x,y,z)\right)}\over{f_{i,j}(x,y,z)^2}}+{{ {{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)}\over{f_{i,j}(x,y,z)}}+ \\ {{2\,g_{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)}\over{f_{i,j}(x,y,z)^3}}-{{g_{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)}\over{f_{i,j}(x,y,z)^2}}-{{g_{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)}\over{f_{i,j}(x,y,z)^2}}-{{g_{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)}\over{f_{i,j}(x,y,z)^2 }}+{{g_{i,j}(x,y,z)\,\left({{d^3}\over{d\,x\,d\,y\,d\,z}}\,f_{i,j}(x ,y,z)\right)}\over{f_{i,j}(x,y,z)}}\right)+ \\ f_{i,j}(x,y,z)^{g_{i,j}(x ,y,z)}\,\left(\log 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}\over{d\,x}}\,f_{i,j}(x,y,z )\right)}\over{f_{i,j}(x,y,z)}}\right)\,\left({{{{d}\over{d\,y}}\,f _{i,j}(x,y,z)\,\left({{d}\over{d\,z}}\,g_{i,j}(x,y,z)\right)}\over{f _{i,j}(x,y,z)}}+\log f_{i,j}(x,y,z)\,\left({{d^2}\over{d\,y\,d\,z}} \,g_{i,j}(x,y,z)\right)+{{{{d}\over{d\,z}}\,f_{i,j}(x,y,z)\,\left({{ d}\over{d\,y}}\,g_{i,j}(x,y,z)\right)}\over{f_{i,j}(x,y,z)}}-{{g_{i, j}(x,y,z)\,\left({{d}\over{d\,y}}\,f_{i,j}(x,y,z)\right)\,\left({{d }\over{d\,z}}\,f_{i,j}(x,y,z)\right)}\over{f_{i,j}(x,y,z)^2}}+{{g_{i ,j}(x,y,z)\,\left({{d^2}\over{d\,y\,d\,z}}\,f_{i,j}(x,y,z)\right) }\over{f_{i,j}(x,y,z)}}\right)+ \\ f_{i,j}(x,y,z)^{g_{i,j}(x,y,z)}\, \left(\log f_{i,j}(x,y,z)\,\left({{d}\over{d\,y}}\,g_{i,j}(x,y,z) \right)+{{g_{i,j}(x,y,z)\,\left({{d}\over{d\,y}}\,f_{i,j}(x,y,z) \right)}\over{f_{i,j}(x,y,z)}}\right)\,\left({{{{d}\over{d\,x}}\,f_{ i,j}(x,y,z)\,\left({{d}\over{d\,z}}\,g_{i,j}(x,y,z)\right)}\over{f_{ i,j}(x,y,z)}}+\log f_{i,j}(x,y,z)\,\left({{d^2}\over{d\,x\,d\,z}}\,g _{i,j}(x,y,z)\right)+{{{{d}\over{d\,z}}\,f_{i,j}(x,y,z)\,\left({{d }\over{d\,x}}\,g_{i,j}(x,y,z)\right)}\over{f_{i,j}(x,y,z)}}-{{g_{i,j }(x,y,z)\,\left({{d}\over{d\,x}}\,f_{i,j}(x,y,z)\right)\,\left({{d }\over{d\,z}}\,f_{i,j}(x,y,z)\right)}\over{f_{i,j}(x,y,z)^2}}+{{g_{i ,j}(x,y,z)\,\left({{d^2}\over{d\,x\,d\,z}}\,f_{i,j}(x,y,z)\right) }\over{f_{i,j}(x,y,z)}}\right)+ \\ f_{i,j}(x,y,z)^{g_{i,j}(x,y,z)}\, \left({{{{d}\over{d\,x}}\,f_{i,j}(x,y,z)\,\left({{d}\over{d\,y}}\,g _{i,j}(x,y,z)\right)}\over{f_{i,j}(x,y,z)}}+\log f_{i,j}(x,y,z)\, \left({{d^2}\over{d\,x\,d\,y}}\,g_{i,j}(x,y,z)\right)+{{{{d}\over{d \,y}}\,f_{i,j}(x,y,z)\,\left({{d}\over{d\,x}}\,g_{i,j}(x,y,z)\right) }\over{f_{i,j}(x,y,z)}}-{{g_{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) }\over{f_{i,j}(x,y,z)^2}}+{{g_{i,j}(x,y,z)\,\left({{d^2}\over{d\,x\, d\,y}}\,f_{i,j}(x,y,z)\right)}\over{f_{i,j}(x,y,z)}}\right)\,\left( \log f_{i,j}(x,y,z)\,\left({{d}\over{d\,z}}\,g_{i,j}(x,y,z)\right)+ {{g_{i,j}(x,y,z)\,\left({{d}\over{d\,z}}\,f_{i,j}(x,y,z)\right) }\over{f_{i,j}(x,y,z)}}\right)+ \\ f_{i,j}(x,y,z)^{g_{i,j}(x,y,z)}\, \left(\log 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}\over{d\,x}}\,f_{i,j}(x,y,z) \right)}\over{f_{i,j}(x,y,z)}}\right)\,\left(\log f_{i,j}(x,y,z)\, \left({{d}\over{d\,y}}\,g_{i,j}(x,y,z)\right)+{{g_{i,j}(x,y,z)\, \left({{d}\over{d\,y}}\,f_{i,j}(x,y,z)\right)}\over{f_{i,j}(x,y,z)}} \right)\,\left(\log f_{i,j}(x,y,z)\,\left({{d}\over{d\,z}}\,g_{i,j}( x,y,z)\right)+{{g_{i,j}(x,y,z)\,\left({{d}\over{d\,z}}\,f_{i,j}(x,y, z)\right)}\over{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::Pow< REAL_T, LHS, RHS >::GetColumns ( ) const

inline

Returns the number of columns.

Returns

template<class REAL_T, class LHS , class RHS >

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

inline

Returns the number of rows.

Returns

template<class REAL_T, class LHS , class RHS >

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

inline

Computes the the evaluation of the lhs raised by the evaluation of the rhs.

Returns

template<class REAL_T, class LHS , class RHS >

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

inline

Computes the the evaluation of the lhs raised by the evaluation of the rhs at index {i,j}.

Returns

template<class REAL_T, class LHS , class RHS >

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

inline

Returns true.

Returns

template<class REAL_T, class LHS , class RHS >

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

inline

True if scalar.

Returns

template<class REAL_T, class LHS , class RHS >

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

inline

Push ids into a set.

Parameters

ids

template<class REAL_T, class LHS , class RHS >

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

inline

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

Parameters

ids
i
j

template<class REAL_T, class LHS , class RHS >

const std::string atl::Pow< 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:

Pow.hpp

Public Types

Public Member Functions

Public Attributes

Detailed Description

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

Constructor & Destructor Documentation

Member Function Documentation

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