atl Namespace Reference

Classes
struct	ACos
struct	Add
struct	ASin
struct	ATan
class	BigFloat
struct	Ceil
struct	clfallocator
struct	ContainerTrait
struct	Cos
struct	Cosh
struct	Divide
struct	Exp
struct	ExpressionBase
struct	ExpressionTrait
struct	Fabs
struct	FastVariableMatrix
struct	Floor
struct	ForwardModeDerivativeInfo
class	LinePlot
struct	Log
struct	Log10
struct	MatrixAssign
struct	Min
struct	Multiply
struct	Pow
struct	Real
struct	RealMatrix
struct	Sin
struct	Sinh
class	SpinLock
struct	Sqrt
struct	StackEntry
class	StreamedDataFile
struct	Subtract
struct	Tan
struct	Tanh
class	Tape
class	ThreadPool
struct	TypeTrait
struct	TypeTrait< atl::Variable< double > >
struct	TypeTrait< atl::Variable< float > >
struct	TypeTrait< atl::Variable< long double > >
struct	Variable
class	VariableIdGenerator
struct	VariableInfo
struct	VariableMatrix
struct	VariableMatrixAssign
struct	VariableVector
class	WaitVariable

Enumerations
enum	ExpressionType {   ET_BASE = 0, REAL_SCALAR, VARIABLE_SCALAR, VARIABLE_SCALAR_EXPRESSION,   REAL_MATRIX, VARIABLE_MATRIX, REAL_MATRIX_EXPRESSION, VARIABLE_MATRIX_EXPRESSION,   REAL_VECTOR, VARIABLE_VECTOR, REAL_VECTOR_EXPRESSION, VARIABLE_VECTOR_EXPRESSION,   ET_BASE = 0, REAL_SCALAR, VARIABLE_SCALAR, VARIABLE_SCALAR_EXPRESSION,   REAL_MATRIX, VARIABLE_MATRIX, REAL_MATRIX_EXPRESSION, VARIABLE_MATRIX_EXPRESSION,   REAL_VECTOR, VARIABLE_VECTOR, REAL_VECTOR_EXPRESSION, VARIABLE_VECTOR_EXPRESSION }
enum	ExpressionType {   ET_BASE = 0, REAL_SCALAR, VARIABLE_SCALAR, VARIABLE_SCALAR_EXPRESSION,   REAL_MATRIX, VARIABLE_MATRIX, REAL_MATRIX_EXPRESSION, VARIABLE_MATRIX_EXPRESSION,   REAL_VECTOR, VARIABLE_VECTOR, REAL_VECTOR_EXPRESSION, VARIABLE_VECTOR_EXPRESSION,   ET_BASE = 0, REAL_SCALAR, VARIABLE_SCALAR, VARIABLE_SCALAR_EXPRESSION,   REAL_MATRIX, VARIABLE_MATRIX, REAL_MATRIX_EXPRESSION, VARIABLE_MATRIX_EXPRESSION,   REAL_VECTOR, VARIABLE_VECTOR, REAL_VECTOR_EXPRESSION, VARIABLE_VECTOR_EXPRESSION }
enum	DerivativeTraceLevel {   FIRST_ORDER_REVERSE = 0, SECOND_ORDER_REVERSE, THIRD_ORDER_REVERSE, FIRST_ORDER_FORWARD,   SECOND_ORDER_FORWARD, THIRD_ORDER_FORWARD }

Functions
template<class REAL_T , class EXPR >
const ACos< REAL_T, EXPR >	acos (const ExpressionBase< REAL_T, EXPR > &exp)
template<class REAL_T , class LHS , class RHS >
const Add< REAL_T, LHS, RHS >	operator+ (const ExpressionBase< REAL_T, LHS > &a, const ExpressionBase< REAL_T, RHS > &b)
template<class REAL_T , class LHS >
const Add< REAL_T, LHS, Real < REAL_T > >	operator+ (const ExpressionBase< REAL_T, LHS > &a, REAL_T b)
template<class REAL_T , class LHS , class RHS >
const Add< REAL_T, Real < REAL_T >, RHS >	operator+ (const REAL_T &a, const ExpressionBase< REAL_T, RHS > &b)
template<class REAL_T , class EXPR >
const ASin< REAL_T, EXPR >	asin (const ExpressionBase< REAL_T, EXPR > &exp)
template<class REAL_T , class EXPR >
const ATan< REAL_T, EXPR >	atan (const ExpressionBase< REAL_T, EXPR > &exp)
template<typename T >
const atl::Variable< T >	max (const atl::Variable< T > &a, const atl::Variable< T > &b)
template<typename T >
const atl::Variable< T >	min (const atl::Variable< T > &a, const atl::Variable< T > &b)
template<class REAL_T , class EXPR >
const Ceil< REAL_T, EXPR >	ceil (const ExpressionBase< REAL_T, EXPR > &exp)
template<class REAL_T , class EXPR >
const Cos< REAL_T, EXPR >	cos (const ExpressionBase< REAL_T, EXPR > &exp)
template<class REAL_T , class EXPR >
const Cosh< REAL_T, EXPR >	cosh (const ExpressionBase< REAL_T, EXPR > &exp)
template<class REAL_T , class LHS , class RHS >
const Divide< REAL_T, LHS, RHS >	operator/ (const ExpressionBase< REAL_T, LHS > &a, const ExpressionBase< REAL_T, RHS > &b)
template<class REAL_T , class LHS >
const Divide< REAL_T, LHS, Real< REAL_T > >	operator/ (const ExpressionBase< REAL_T, LHS > &a, REAL_T b)
template<class REAL_T , class LHS , class RHS >
const Divide< REAL_T, Real < REAL_T >, RHS >	operator/ (const REAL_T &a, const ExpressionBase< REAL_T, RHS > &b)
template<class REAL_T , class EXPR >
const Exp< REAL_T, EXPR >	exp (const ExpressionBase< REAL_T, EXPR > &exp)
template<class REAL_T , class EXPR >
const Fabs< REAL_T, EXPR >	fabs (const ExpressionBase< REAL_T, EXPR > &exp)
template<class REAL_T , class EXPR >
const atl::Fabs< REAL_T, EXPR >	abs (const atl::ExpressionBase< REAL_T, EXPR > &expr)
template<class REAL_T , class EXPR >
const Floor< REAL_T, EXPR >	floor (const ExpressionBase< REAL_T, EXPR > &exp)
template<class REAL_T , class EXPR >
const Log< REAL_T, EXPR >	log (const ExpressionBase< REAL_T, EXPR > &exp)
template<class REAL_T , class EXPR >
const Log10< REAL_T, EXPR >	log10 (const ExpressionBase< REAL_T, EXPR > &exp)
template<typename REAL_T >
std::ostream &	operator<< (std::ostream &out, const VariableMatrix< REAL_T > &m)
template<class REAL_T , class LHS , class RHS >
REAL_T	EvaluateMultiplyValueCase1 (int i, int j, const ExpressionBase< REAL_T, LHS > &lhs, const ExpressionBase< REAL_T, RHS > &rhs)
template<class REAL_T , class LHS , class RHS >
REAL_T	EvaluateMultiplyValueCase2 (int i, int j, const ExpressionBase< REAL_T, LHS > &lhs, const ExpressionBase< REAL_T, RHS > &rhs)
template<class REAL_T , class LHS , class RHS >
REAL_T	EvaluateMultiplyValueCase3 (int i, int j, const ExpressionBase< REAL_T, LHS > &lhs, const ExpressionBase< REAL_T, RHS > &rhs)
template<class REAL_T , class LHS , class RHS >
REAL_T	EvaluateMultiplyValueCase4 (int i, int j, const ExpressionBase< REAL_T, LHS > &lhs, const ExpressionBase< REAL_T, RHS > &rhs)
template<class REAL_T , class LHS , class RHS >
REAL_T	EvaluateMultiplyFirstDerivativeCase1 (uint32_t a, size_t i, size_t j, const ExpressionBase< REAL_T, LHS > &lhs, const ExpressionBase< REAL_T, RHS > &rhs)
template<class REAL_T , class LHS , class RHS >
const Multiply< REAL_T, LHS, RHS >	operator* (const ExpressionBase< REAL_T, LHS > &a, const ExpressionBase< REAL_T, RHS > &b)
template<class REAL_T , class LHS >
const Multiply< REAL_T, LHS, Real< REAL_T > >	operator* (const ExpressionBase< REAL_T, LHS > &a, REAL_T b)
template<class REAL_T , class LHS , class RHS >
const Multiply< REAL_T, Real < REAL_T >, RHS >	operator* (const REAL_T &a, const ExpressionBase< REAL_T, RHS > &b)
template<int alignment = 16>
void *	AllocateAligned (std::size_t size)
template<int alignment = 16>
void	DeallocateAligned (void *ptr)
template<class REAL_T , class EXPR >
const Sin< REAL_T, EXPR >	sin (const ExpressionBase< REAL_T, EXPR > &exp)
template<class REAL_T , class EXPR >
const Sinh< REAL_T, EXPR >	sinh (const ExpressionBase< REAL_T, EXPR > &exp)
template<class REAL_T , class EXPR >
const Sqrt< REAL_T, EXPR >	sqrt (const ExpressionBase< REAL_T, EXPR > &exp)
template<class REAL_T , class LHS , class RHS >
const Subtract< REAL_T, LHS, RHS >	operator- (const ExpressionBase< REAL_T, LHS > &a, const ExpressionBase< REAL_T, RHS > &b)
template<class REAL_T , class LHS >
const Subtract< REAL_T, LHS, Real< REAL_T > >	operator- (const ExpressionBase< REAL_T, LHS > &a, REAL_T b)
template<class REAL_T , class LHS , class RHS >
const Subtract< REAL_T, Real < REAL_T >, RHS >	operator- (const REAL_T &a, const ExpressionBase< REAL_T, RHS > &b)
template<class REAL_T , class EXPR >
const Tan< REAL_T, EXPR >	tan (const ExpressionBase< REAL_T, EXPR > &exp)
template<class REAL_T , class EXPR >
const Tanh< REAL_T, EXPR >	tanh (const ExpressionBase< REAL_T, EXPR > &exp)
template<typename T >
std::ostream &	operator<< (std::ostream &out, const StackEntry< T > &entry)
template<typename REAL_T >
std::ostream &	operator<< (std::ostream &out, const Variable< REAL_T > &v)
template<class REAL_T , class EXPR >
const atl::Variable< REAL_T >	ad_fabs (const atl::ExpressionBase< REAL_T, EXPR > &expr, double C=1e-50)
template<typename T >
const atl::Variable< T >	max (const atl::Variable< T > &a, const atl::Variable< T > &b, T C=1e-50)
template<typename T >
const atl::Variable< T >	min (const atl::Variable< T > &a, const atl::Variable< T > &b, T C=1e-50)
template<class REAL_T , class LHS , class RHS >
const Pow< REAL_T, LHS, RHS >	pow (const ExpressionBase< REAL_T, LHS > &a, const ExpressionBase< REAL_T, RHS > &b)
template<class REAL_T , class LHS >
const Pow< REAL_T, LHS, Real < REAL_T > >	pow (const ExpressionBase< REAL_T, LHS > &a, REAL_T b)
template<class REAL_T , class LHS , class RHS >
const Pow< REAL_T, Real < REAL_T >, RHS >	pow (const REAL_T &a, const ExpressionBase< REAL_T, RHS > &b)
template<class T >
const int	operator== (const BigFloat< T > &lhs, const BigFloat< T > &rhs)
template<class T >
const int	operator!= (const BigFloat< T > &lhs, const BigFloat< T > &rhs)
template<class T >
const int	operator< (const BigFloat< T > &lhs, const BigFloat< T > &rhs)
template<class T >
const int	operator> (const BigFloat< T > &lhs, const BigFloat< T > &rhs)
template<class T >
const int	operator<= (const BigFloat< T > &lhs, const BigFloat< T > &rhs)
template<class T >
const int	operator>= (const BigFloat< T > &lhs, const BigFloat< T > &rhs)
template<class T >
const long	operator% (const BigFloat< T > &lhs, const BigFloat< T > &rhs)
template<class T >
const int	operator== (T lhs, const BigFloat< T > &rhs)
template<class T >
const int	operator!= (T lhs, const BigFloat< T > &rhs)
template<class T >
const int	operator< (T lhs, const BigFloat< T > &rhs)
template<class T >
const int	operator> (T lhs, const BigFloat< T > &rhs)
template<class T >
const int	operator<= (T lhs, const BigFloat< T > &rhs)
template<class T >
const int	operator>= (T lhs, const BigFloat< T > &rhs)
template<class T >
const long	operator% (const T &lhs, const BigFloat< T > &rhs)
template<class T >
const int	operator== (const BigFloat< T > &lhs, T rhs)
template<class T >
const int	operator!= (const BigFloat< T > &lhs, T rhs)
template<class T >
const int	operator< (const BigFloat< T > &lhs, T rhs)
template<class T >
const int	operator> (const BigFloat< T > &lhs, T rhs)
template<class T >
const int	operator<= (const BigFloat< T > &lhs, T rhs)
template<class T >
const int	operator>= (const BigFloat< T > &lhs, T rhs)
template<class T >
const int	operator% (const BigFloat< T > &lhs, const T &rhs)
template<class T >
const BigFloat< T >	operator- (const BigFloat< T > &lhs, const BigFloat< T > &rhs)
template<class T >
const BigFloat< T >	operator+ (const BigFloat< T > &lhs, const BigFloat< T > &rhs)
template<class T >
const BigFloat< T >	operator/ (const BigFloat< T > &lhs, const BigFloat< T > &rhs)
template<class T >
const BigFloat< T >	operator* (const BigFloat< T > &lhs, const BigFloat< T > &rhs)
template<class T >
const BigFloat< T >	operator- (T lhs, const BigFloat< T > &rhs)
template<class T >
const BigFloat< T >	operator+ (T lhs, const BigFloat< T > &rhs)
template<class T >
const BigFloat< T >	operator/ (T lhs, const BigFloat< T > &rhs)
template<class T >
const BigFloat< T >	operator* (T lhs, const BigFloat< T > &rhs)
template<class T >
const BigFloat< T >	operator- (const BigFloat< T > &lhs, T rhs)
template<class T >
const BigFloat< T >	operator+ (const BigFloat< T > &lhs, T rhs)
template<class T >
const BigFloat< T >	operator/ (const BigFloat< T > &lhs, T rhs)
template<class T >
const BigFloat< T >	operator* (const BigFloat< T > &lhs, T rhs)
template<class T >
std::ostream &	operator<< (std::ostream &out, BigFloat< T > const &t)
template<typename T >
StreamedDataFile &	operator>> (StreamedDataFile &in, atl::Variable< T > &v)
template<typename T >
StreamedDataFile &	operator>> (StreamedDataFile &in, atl::Vector< T > &v)
template<typename T >
StreamedDataFile &	operator>> (StreamedDataFile &in, atl::Matrix< T > &m)

Variables
atl::ThreadPool	thread_pool_g

Detailed Description

Author

Matthew R. Supernaw

Public Domain Notice National Oceanic And Atmospheric Administration

This software is a "United States Government Work" under the terms of the United States Copyright Act. It was written as part of the author's official duties as a United States Government employee and thus cannot be copyrighted. This software is freely available to the public for use. The National Oceanic And Atmospheric Administration and the U.S. Government have not placed any restriction on its use or reproduction. Although all reasonable efforts have been taken to ensure the accuracy and reliability of the software and data, the National Oceanic And Atmospheric Administration and the U.S. Government do not and cannot warrant the performance warrant the performance or results that may be obtained by using this software or data. The National Oceanic And Atmospheric Administration and the U.S. Government disclaim all warranties, express or implied, including warranties of performance, merchantability or fitness for any particular purpose.

Please cite the author(s) in any work or product based on this material.

Function Documentation

template<class REAL_T , class EXPR >

const ACos< REAL_T, EXPR > atl::acos ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Returns a expression template representing arccosine.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class EXPR >

const atl::Variable<REAL_T> atl::ad_fabs	(	const atl::ExpressionBase< REAL_T, EXPR > &	expr,
		double	C = 1e-50
	)

Used when expr could evaluate to zero, which will result in a NaN for derivative values.

Evaluates:

\( (expr^2+C)^.5 \)

Parameters

expr
C	default = 1e-50

Returns

References pow().

Referenced by max(), and min().

template<class REAL_T , class EXPR >

const ASin< REAL_T, EXPR > atl::asin ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Returns an expression template representing arcsine.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class EXPR >

const ATan< REAL_T, EXPR > atl::atan ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Returns an expression template representing arctangent.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class EXPR >

const Ceil< REAL_T, EXPR > atl::ceil ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Ceiling of the expression exp. Not Differentiable.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class EXPR >

const Cos< REAL_T, EXPR > atl::cos ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Returns an expression template representing cosine.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class EXPR >

const Cosh< REAL_T, EXPR > atl::cosh ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Returns an expression template representing hyperbolic cosine.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class EXPR >

const Floor< REAL_T, EXPR > atl::floor ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Returns an expression template representing floor.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class EXPR >

const Log< REAL_T, EXPR > atl::log ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Returns an expression template representing log.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class EXPR >

const Log10< REAL_T, EXPR > atl::log10 ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Returns an expression template representing log10.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<typename T >

const atl::Variable<T> atl::max ( const atl::Variable< T > &  a, const atl::Variable< T > &  b  )

inline

Returns the maximum between a and b in a continuous manner using:

(a + b + |a - b|) / 2.0;

Parameters

a
b

Returns

template<typename T >

const atl::Variable<T> atl::max ( const atl::Variable< T > &  a, const atl::Variable< T > &  b, T  C = 1e-50  )

inline

Returns the maximum between a and b in a continuous manner using:

(a + b + atl::ad_fabs(a - b)) *.5;

This is an approximation with minimal error.

Parameters

a
b
C	default = 1e-50

Returns

References ad_fabs().

template<typename T >

const atl::Variable<T> atl::min ( const atl::Variable< T > &  a, const atl::Variable< T > &  b  )

inline

Returns the minimum between a and b in a continuous manner using:

(a + b - |a - b|) / 2.0;

Parameters

a
b

Returns

template<typename T >

const atl::Variable<T> atl::min ( const atl::Variable< T > &  a, const atl::Variable< T > &  b, T  C = 1e-50  )

inline

Returns the minimum between a and b in a continuous manner using:

(a + b - atl::ad_fabs(a - b))*.5;

This is an approximation with minimal error.

Parameters

a
b
C	default = 1e-50

Returns

References ad_fabs().

template<class T >

const int atl::operator!= ( const BigFloat< T > &  lhs, const BigFloat< T > &  rhs  )

inline

Not equal to comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator!= ( T  lhs, const BigFloat< T > &  rhs  )

inline

Not equal to comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator!= ( const BigFloat< T > &  lhs, T  rhs  )

inline

Not equal to comparison operator.

Parameters

lhs
rhs

Returns

template<class REAL_T , class LHS , class RHS >

const Multiply< REAL_T, LHS, RHS > atl::operator* ( const ExpressionBase< REAL_T, LHS > &  a, const ExpressionBase< REAL_T, RHS > &  b  )

inline

Operator for addition of two expression templates.

Parameters

a
b

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class LHS >

const Multiply< REAL_T, LHS, Real< REAL_T > > atl::operator* ( const ExpressionBase< REAL_T, LHS > &  a, REAL_T  b  )

inline

Parameters

a
b

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class LHS , class RHS >

const Multiply< REAL_T, Real< REAL_T >, RHS > atl::operator* ( const REAL_T &  a, const ExpressionBase< REAL_T, RHS > &  b  )

inline

Parameters

a
b

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class T >

const BigFloat<T> atl::operator*	(	const BigFloat< T > &	lhs,
		const BigFloat< T > &	rhs
	)

Outside class multiplication operator.

Parameters

lhs
rhs

Returns

template<class T >

const BigFloat<T> atl::operator*	(	T	lhs,
		const BigFloat< T > &	rhs
	)

Outside class multiplication operator.

Parameters

lhs
rhs

Returns

template<class T >

const BigFloat<T> atl::operator*	(	const BigFloat< T > &	lhs,
		T	rhs
	)

Outside class multiplication operator.

Parameters

lhs
rhs

Returns

template<class REAL_T , class LHS , class RHS >

const Add< REAL_T, LHS, RHS > atl::operator+ ( const ExpressionBase< REAL_T, LHS > &  a, const ExpressionBase< REAL_T, RHS > &  b  )

inline

Operator for addition of two expression templates.

Parameters

a
b

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class LHS >

const Add< REAL_T, LHS, Real< REAL_T > > atl::operator+ ( const ExpressionBase< REAL_T, LHS > &  a, REAL_T  b  )

inline

Operator for addition of an expression template and a real value.

Parameters

a
b

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class LHS , class RHS >

const Add< REAL_T, Real< REAL_T >, RHS > atl::operator+ ( const REAL_T &  a, const ExpressionBase< REAL_T, RHS > &  b  )

inline

Operator for the addition of a real value and an expression template.

Parameters

a
b

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class T >

const BigFloat<T> atl::operator+	(	const BigFloat< T > &	lhs,
		const BigFloat< T > &	rhs
	)

Outside class addition operator.

Parameters

lhs
rhs

Returns

template<class T >

const BigFloat<T> atl::operator+	(	T	lhs,
		const BigFloat< T > &	rhs
	)

Outside class addition operator.

Parameters

lhs
rhs

Returns

template<class T >

const BigFloat<T> atl::operator+	(	const BigFloat< T > &	lhs,
		T	rhs
	)

Outside class addition operator.

Parameters

lhs
rhs

Returns

template<class REAL_T , class LHS , class RHS >

const Subtract< REAL_T, LHS, RHS > atl::operator- ( const ExpressionBase< REAL_T, LHS > &  a, const ExpressionBase< REAL_T, RHS > &  b  )

inline

Operator for subtraction of two expression templates.

Parameters

a
b

Returns

Operator for subtraction of a expression template by another expression template.

Parameters

a
b

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class LHS >

const Subtract< REAL_T, LHS, Real< REAL_T > > atl::operator- ( const ExpressionBase< REAL_T, LHS > &  a, REAL_T  b  )

inline

Operator for subtraction of a expression template by a real value.

Parameters

a
b

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class LHS , class RHS >

const Subtract< REAL_T, Real< REAL_T >, RHS > atl::operator- ( const REAL_T &  a, const ExpressionBase< REAL_T, RHS > &  b  )

inline

Operator for subtraction of a real value by an expression template.

Parameters

a
b

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class T >

const BigFloat<T> atl::operator-	(	const BigFloat< T > &	lhs,
		const BigFloat< T > &	rhs
	)

Outside class subtraction operator.

Parameters

lhs
rhs

Returns

template<class T >

const BigFloat<T> atl::operator-	(	T	lhs,
		const BigFloat< T > &	rhs
	)

Outside class subtraction operator.

Parameters

lhs
rhs

Returns

template<class T >

const BigFloat<T> atl::operator-	(	const BigFloat< T > &	lhs,
		T	rhs
	)

Outside class subtraction operator.

Parameters

lhs
rhs

Returns

template<class REAL_T , class LHS , class RHS >

const Divide< REAL_T, LHS, RHS > atl::operator/ ( const ExpressionBase< REAL_T, LHS > &  a, const ExpressionBase< REAL_T, RHS > &  b  )

inline

Operator for addition of two expression templates.

Parameters

a
b

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class T >

const BigFloat<T> atl::operator/	(	const BigFloat< T > &	lhs,
		const BigFloat< T > &	rhs
	)

Outside class division operator.

Parameters

lhs
rhs

Returns

template<class T >

const BigFloat<T> atl::operator/	(	T	lhs,
		const BigFloat< T > &	rhs
	)

Outside class division operator.

Parameters

lhs
rhs

Returns

template<class T >

const BigFloat<T> atl::operator/	(	const BigFloat< T > &	lhs,
		T	rhs
	)

Outside class division operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator< ( const BigFloat< T > &  lhs, const BigFloat< T > &  rhs  )

inline

Less than comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator< ( T  lhs, const BigFloat< T > &  rhs  )

inline

Less than comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator< ( const BigFloat< T > &  lhs, T  rhs  )

inline

Less than comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator<= ( const BigFloat< T > &  lhs, const BigFloat< T > &  rhs  )

inline

Less than equal to comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator<= ( T  lhs, const BigFloat< T > &  rhs  )

inline

Less than equal to comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator<= ( const BigFloat< T > &  lhs, T  rhs  )

inline

Less than equal to comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator== ( const BigFloat< T > &  lhs, const BigFloat< T > &  rhs  )

inline

Equal to comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator== ( T  lhs, const BigFloat< T > &  rhs  )

inline

Equal to comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator== ( const BigFloat< T > &  lhs, T  rhs  )

inline

Equal to comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator> ( const BigFloat< T > &  lhs, const BigFloat< T > &  rhs  )

inline

Greater than comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator> ( T  lhs, const BigFloat< T > &  rhs  )

inline

Greater than comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator> ( const BigFloat< T > &  lhs, T  rhs  )

inline

Greater than comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator>= ( const BigFloat< T > &  lhs, const BigFloat< T > &  rhs  )

inline

Greater than equal to comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator>= ( T  lhs, const BigFloat< T > &  rhs  )

inline

Greater than equal to comparison operator.

Parameters

lhs
rhs

Returns

template<class T >

const int atl::operator>= ( const BigFloat< T > &  lhs, T  rhs  )

inline

Greater than equal to comparison operator.

Parameters

lhs
rhs

Returns

template<class REAL_T , class LHS , class RHS >

const Pow<REAL_T, LHS, RHS> atl::pow ( const ExpressionBase< REAL_T, LHS > &  a, const ExpressionBase< REAL_T, RHS > &  b  )

inline

Returns a expression template representing pow.

Parameters

a
b

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

Referenced by ad_fabs().

template<class REAL_T , class LHS >

const Pow<REAL_T, LHS, Real<REAL_T> > atl::pow ( const ExpressionBase< REAL_T, LHS > &  a, REAL_T  b  )

inline

Returns a expression template representing pow.

Parameters

a
b

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class LHS , class RHS >

const Pow<REAL_T, Real<REAL_T>, RHS> atl::pow ( const REAL_T &  a, const ExpressionBase< REAL_T, RHS > &  b  )

inline

Returns a expression template representing pow.

Parameters

a
b

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class EXPR >

const Sin< REAL_T, EXPR > atl::sin ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Creates a expression template representing sine.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class EXPR >

const Sinh< REAL_T, EXPR > atl::sinh ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Creates a expression template representing hyperbolic sine.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class EXPR >

const Sqrt< REAL_T, EXPR > atl::sqrt ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Returns an expression template representing the square root.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class EXPR >

const Tan< REAL_T, EXPR > atl::tan ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Creates a expression template representing tangent.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().

template<class REAL_T , class EXPR >

const Tanh< REAL_T, EXPR > atl::tanh ( const ExpressionBase< REAL_T, EXPR > &  exp )

inline

Creates a expression template representing hyperbolic tangent.

Parameters

exp

Returns

References atl::ExpressionBase< REAL_T, A >::Cast().