Sacado_Fad_Exp_Ops.hpp File Reference

#include <type_traits>
#include <ostream>
#include "Sacado_Fad_Exp_Expression.hpp"
#include "Sacado_Fad_Exp_ExpressionTraits.hpp"
#include "Sacado_Fad_Exp_Ops_Fwd.hpp"
#include "Sacado_cmath.hpp"
#include "Sacado_mpl_has_equal_to.hpp"

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Classes
class	Sacado::Fad::Exp::IfThenElseOp< CondT, T1, T2, is_const_T1, is_const_T2, ExprSpec >
class	Sacado::Fad::Exp::IfThenElseOp< CondT, T1, T2, false, false, ExprSpecDefault >
class	Sacado::Fad::Exp::IfThenElseOp< CondT, T1, T2, false, true, ExprSpecDefault >
class	Sacado::Fad::Exp::IfThenElseOp< CondT, T1, T2, true, false, ExprSpecDefault >
struct	Sacado::Fad::Exp::ExprLevel< IfThenElseOp< CondT, T1, T2, c1, c2, E > >
struct	Sacado::Fad::Exp::IsFadExpr< IfThenElseOp< CondT, T1, T2, c1, c2, E > >
struct	Sacado::IsExpr< Fad::Exp::IfThenElseOp< CondT, T1, T2, c1, c2, E > >
struct	Sacado::BaseExprType< Fad::Exp::IfThenElseOp< CondT, T1, T2, c1, c2, E > >
struct	Sacado::IsSimdType< Fad::Exp::IfThenElseOp< CondT, T1, T2, c1, c2, E > >
struct	Sacado::ValueType< Fad::Exp::IfThenElseOp< CondT, T1, T2, c1, c2, E > >
struct	Sacado::ScalarType< Fad::Exp::IfThenElseOp< CondT, T1, T2, c1, c2, E > >
struct	Sacado::Fad::Exp::Impl::ConditionalReturnType< T1, T2, bool >
struct	Sacado::Fad::Exp::Impl::ConditionalReturnType< T1, T2, true >

Namespaces
namespace	Sacado
namespace	Sacado::Fad
	Namespace for forward-mode AD classes.
namespace	Sacado::Fad::Exp
namespace	Sacado::Fad::Exp::Impl

Macros
#define	FAD_UNARYOP_MACRO(OPNAME, OP, USING, VALUE, DX, FASTACCESSDX)
#define	FAD_BINARYOP_MACRO(OPNAME, OP, USING, VALUE, DX, CDX1, CDX2, FASTACCESSDX, VAL_CONST_DX_1, VAL_CONST_DX_2, CONST_DX_1, CONST_DX_2, CONST_FASTACCESSDX_1, CONST_FASTACCESSDX_2)
#define	FAD_RELOP_MACRO(OP)
#define	FAD_BOOL_MACRO(OP)

Functions
	FAD_UNARYOP_MACRO (operator+, UnaryPlusOp, ;, expr.val(), expr.dx(i), expr.fastAccessDx(i)) FAD_UNARYOP_MACRO(operator-
expr	val () = expr2.val() ? expr1.dx(i) : expr2.dx(i)
expr expr	dx (i)
expr expr expr	fastAccessDx (i)) FAD_UNARYOP_MACRO(exp
	exp (expr.val())
	log (expr.val())
	log10 (expr.val())
	sqrt (expr.val())
	cos (expr.val())
	sin (expr.val())
	tan (expr.val())
	acos (expr.val())
	asin (expr.val())
	atan (expr.val())
	cosh (expr.val())
	sinh (expr.val())
	tanh (expr.val())
	acosh (expr.val())
	asinh (expr.val())
	atanh (expr.val())
	abs (expr.val())
	if_then_else (expr.val() >=0, expr.dx(i), value_type(-expr.dx(i)))
	if_then_else (expr.val() >=0, expr.fastAccessDx(i), value_type(-expr.fastAccessDx(i)))) FAD_UNARYOP_MACRO(fabs
	fabs (expr.val())
	cbrt (expr.val())
	FAD_BINARYOP_MACRO (operator+, AdditionOp, ;, expr1.val()+expr2.val(), expr1.dx(i)+expr2.dx(i), expr2.dx(i), expr1.dx(i), expr1.fastAccessDx(i)+expr2.fastAccessDx(i), c+expr2.val(), expr1.val()+c, expr2.dx(i), expr1.dx(i), expr2.fastAccessDx(i), expr1.fastAccessDx(i)) FAD_BINARYOP_MACRO(operator-
	atan2 (expr1.val(), expr2.val())
expr2 expr1 expr2 expr2	atan2 (c, expr2.val())
expr2 expr1 expr2 expr2	atan2 (expr1.val(), c)
	if_then_else (expr1.val() >=expr2.val(), expr1.val(), expr2.val())
	if_then_else (expr1.val() >=expr2.val(), expr1.dx(i), expr2.dx(i))
	if_then_else (expr1.val() >=expr2.val(), value_type(0.0), expr2.dx(i))
	if_then_else (expr1.val() >=expr2.val(), expr1.dx(i), value_type(0.0))
	if_then_else (c >=expr2.val(), value_type(c), expr2.val())
	if_then_else (expr1.val() >=c, expr1.val(), value_type(c))
	if_then_else (c >=expr2.val(), value_type(0.0), expr2.dx(i))
	if_then_else (expr1.val() >=c, expr1.dx(i), value_type(0.0))
	if_then_else (expr1.val()<=expr2.val(), expr1.val(), expr2.val())
	if_then_else (expr1.val()<=expr2.val(), expr1.dx(i), expr2.dx(i))
	if_then_else (expr1.val()<=expr2.val(), value_type(0.0), expr2.dx(i))
	if_then_else (expr1.val()<=expr2.val(), expr1.dx(i), value_type(0.0))
	if_then_else (c<=expr2.val(), value_type(c), expr2.val())
	if_then_else (expr1.val()<=c, expr1.val(), value_type(c))
	if_then_else (c<=expr2.val(), value_type(0), expr2.dx(i))
	if_then_else (expr1.val()<=c, expr1.dx(i), value_type(0))
template<typename CondT , typename T1 , typename T2 >
SACADO_INLINE_FUNCTION mpl::enable_if_c< IsFadExpr< T1 >::value &&IsFadExpr< T2 >::value &&ExprLevel< T1 >::value==ExprLevel< T2 >::value, IfThenElseOp< CondT, typenameExpr< T1 >::derived_type, typenameExpr< T2 >::derived_type, false, false, typenameT1::expr_spec_type > >::type	Sacado::Fad::Exp::if_then_else (const CondT &cond, const T1 &expr1, const T2 &expr2)
template<typename CondT , typename T >
SACADO_INLINE_FUNCTION IfThenElseOp< CondT, typename T::value_type, typename Expr< T >::derived_type, true, false, typename T::expr_spec_type >	Sacado::Fad::Exp::if_then_else (const CondT &cond, const typename T::value_type &c, const Expr< T > &expr)
template<typename CondT , typename T >
SACADO_INLINE_FUNCTION IfThenElseOp< CondT, typename Expr< T >::derived_type, typename T::value_type, false, true, typename T::expr_spec_type >	Sacado::Fad::Exp::if_then_else (const CondT &cond, const Expr< T > &expr, const typename T::value_type &c)
template<typename CondT , typename T >
SACADO_INLINE_FUNCTION mpl::disable_if< mpl::is_same< typenameT::value_type, typenameT::scalar_type >, IfThenElseOp< CondT, typenameT::scalar_type, typenameExpr< T >::derived_type, true, false, typenameT::expr_spec_type > >::type	Sacado::Fad::Exp::if_then_else (const CondT &cond, const typename Expr< T >::scalar_type &c, const Expr< T > &expr)
template<typename CondT , typename T >
SACADO_INLINE_FUNCTION mpl::disable_if< mpl::is_same< typenameT::value_type, typenameT::scalar_type >, IfThenElseOp< CondT, typenameExpr< T >::derived_type, typenameT::scalar_type, false, true, typenameT::expr_spec_type > >::type	Sacado::Fad::Exp::if_then_else (const CondT &cond, const Expr< T > &expr, const typename Expr< T >::scalar_type &c)
template<typename ExprT >
SACADO_INLINE_FUNCTION bool	Sacado::Fad::Exp::operator! (const Expr< ExprT > &expr)
template<typename T >
SACADO_INLINE_FUNCTION bool	Sacado::Fad::Exp::toBool (const Expr< T > &xx)
template<typename T >
std::ostream &	Sacado::Fad::Exp::operator<< (std::ostream &os, const Expr< T > &xx)

Variables
	UnaryMinusOp
expr expr expr	ExpOp
	LogOp
expr expr	Log10Op
expr expr	SqrtOp
expr expr	CosOp
expr expr	SinOp
expr expr	TanOp
expr expr	ACosOp
expr expr	ASinOp
expr expr	ATanOp
expr expr	CoshOp
expr expr	SinhOp
expr expr	TanhOp
expr expr	ACoshOp
expr expr	ASinhOp
expr expr	ATanhOp
expr expr	AbsOp
	FAbsOp
	CbrtOp
	SubtractionOp
expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1	MultiplicationOp
expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 expr1 expr1 c *expr2 expr1 c *expr2 expr1 c *expr2 expr1	DivisionOp
expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 expr1 expr1 c *expr2 expr1 c *expr2 expr1 c *expr2 expr1 expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1	Atan2Op
expr2 expr1 expr2 expr2 c *expr2 c *expr1 c *expr2 c *expr1	MaxOp
	MinOp

Macro Definition Documentation

FAD_UNARYOP_MACRO

#define FAD_UNARYOP_MACRO	(		OPNAME,
			OP,
			USING,
			VALUE,
			DX,
			FASTACCESSDX )

Definition at line 49 of file Sacado_Fad_Exp_Ops.hpp.

FAD_BINARYOP_MACRO

#define FAD_BINARYOP_MACRO	(		OPNAME,
			OP,
			USING,
			VALUE,
			DX,
			CDX1,
			CDX2,
			FASTACCESSDX,
			VAL_CONST_DX_1,
			VAL_CONST_DX_2,
			CONST_DX_1,
			CONST_DX_2,
			CONST_FASTACCESSDX_1,
			CONST_FASTACCESSDX_2 )

Definition at line 458 of file Sacado_Fad_Exp_Ops.hpp.

FAD_RELOP_MACRO

#define FAD_RELOP_MACRO

(

OP

)

Definition at line 2050 of file Sacado_Fad_Exp_Ops.hpp.

FAD_BOOL_MACRO

#define FAD_BOOL_MACRO

(

OP

)

Definition at line 2139 of file Sacado_Fad_Exp_Ops.hpp.

Function Documentation

FAD_UNARYOP_MACRO()

FAD_UNARYOP_MACRO	(	operator+	,
		UnaryPlusOp	,
		;	,
		expr.	val(),
		expr.	dxi,
		expr.	fastAccessDxi )

val()

expr expr1 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 c *expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 val

(

)

= expr2.val() ? expr1.dx(i) : expr2.dx(i)

dx()

expr expr1 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 c *expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr2 expr1 dx

(

i

)

fastAccessDx()

expr expr1 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 c *expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr2 expr1 expr2 expr1 fastAccessDx

(

i

)

Definition at line 288 of file Sacado_Fad_Exp_Ops.hpp.

exp()

exp

(

expr.

val()

)

log()

log

(

expr.

val()

)

log10()

log10

(

expr.

val()

)

sqrt()

sqrt

(

expr.

val()

)

cos()

cos

(

expr.

val()

)

sin()

sin

(

expr.

val()

)

tan()

tan

(

expr.

val()

)

acos()

acos

(

expr.

val()

)

asin()

asin

(

expr.

val()

)

atan()

atan

(

expr.

val()

)

cosh()

cosh

(

expr.

val()

)

sinh()

sinh

(

expr.

val()

)

tanh()

tanh

(

expr.

val()

)

acosh()

acosh

(

expr.

val()

)

asinh()

asinh

(

expr.

val()

)

atanh()

atanh

(

expr.

val()

)

abs()

abs

(

expr.

val()

)

if_then_else() [1/18]

if_then_else	(	expr.val() >=	0,
		expr.	dxi,
		value_type(-expr.dx(i))	)

if_then_else() [2/18]

if_then_else	(	expr.val() >=	0,
		expr.	fastAccessDxi,
		value_type(-expr.fastAccessDx(i))	)

Definition at line 261 of file Sacado_Fad_Ops.hpp.

fabs()

fabs

(

expr.

val()

)

cbrt()

cbrt

(

expr.

val()

)

FAD_BINARYOP_MACRO()

FAD_BINARYOP_MACRO	(	operator+	,
		AdditionOp	,
		;	,
		expr1.	val)+expr2.val(,
		expr1.	dxi)+expr2.dx(i,
		expr2.	dxi,
		expr1.	dxi,
		expr1.	fastAccessDxi)+expr2.fastAccessDx(i,
		c+expr2.	val(),
		expr1.val()+	c,
		expr2.	dxi,
		expr1.	dxi,
		expr2.	fastAccessDxi,
		expr1.	fastAccessDxi )

atan2() [1/3]

atan2	(	expr1.	val(),
		expr2.	val() )

atan2() [2/3]

expr2 expr1 expr2 expr2 atan2	(	c	,
		expr2.	val() )

atan2() [3/3]

expr2 expr1 expr2 expr2 atan2	(	expr1.	val(),
		c	)

if_then_else() [3/18]

if_then_else	(	expr1.	val) >=expr2.val(,
		expr1.	val(),
		expr2.	val() )

if_then_else() [4/18]

if_then_else	(	expr1.	val) >=expr2.val(,
		expr1.	dxi,
		expr2.	dxi )

if_then_else() [5/18]

if_then_else	(	expr1.	val) >=expr2.val(,
		value_type(0.0)	,
		expr2.	dxi )

if_then_else() [6/18]

if_then_else	(	expr1.	val) >=expr2.val(,
		expr1.	dxi,
		value_type(0.0)	)

if_then_else() [7/18]

if_then_else	(	c >=expr2.	val(),
		value_type(c)	,
		expr2.	val() )

if_then_else() [8/18]

if_then_else	(	expr1.val() >=	c,
		expr1.	val(),
		value_type(c)	)

if_then_else() [9/18]

if_then_else	(	c >=expr2.	val(),
		value_type(0.0)	,
		expr2.	dxi )

if_then_else() [10/18]

if_then_else	(	expr1.val() >=	c,
		expr1.	dxi,
		value_type(0.0)	)

if_then_else() [11/18]

if_then_else	(	expr1.	val)<=expr2.val(,
		expr1.	val(),
		expr2.	val() )

if_then_else() [12/18]

if_then_else	(	expr1.	val)<=expr2.val(,
		expr1.	dxi,
		expr2.	dxi )

if_then_else() [13/18]

if_then_else	(	expr1.	val)<=expr2.val(,
		value_type(0.0)	,
		expr2.	dxi )

if_then_else() [14/18]

if_then_else	(	expr1.	val)<=expr2.val(,
		expr1.	dxi,
		value_type(0.0)	)

if_then_else() [15/18]

if_then_else	(	c<=expr2.	val(),
		value_type(c)	,
		expr2.	val() )

if_then_else() [16/18]

if_then_else	(	expr1.val()<=	c,
		expr1.	val(),
		value_type(c)	)

if_then_else() [17/18]

if_then_else	(	c<=expr2.	val(),
		value_type(0)	,
		expr2.	dxi )

if_then_else() [18/18]

if_then_else	(	expr1.val()<=	c,
		expr1.	dxi,
		value_type(0)	)

Definition at line 866 of file Sacado_Fad_Exp_Ops.hpp.

Variable Documentation

UnaryMinusOp

UnaryMinusOp

Definition at line 162 of file Sacado_Fad_Exp_Ops.hpp.

ExpOp

expr expr expr ExpOp

Definition at line 168 of file Sacado_Fad_Exp_Ops.hpp.

LogOp

LogOp

Definition at line 174 of file Sacado_Fad_Exp_Ops.hpp.

Log10Op

expr expr Log10Op

Definition at line 180 of file Sacado_Fad_Exp_Ops.hpp.

SqrtOp

expr expr SqrtOp

Definition at line 186 of file Sacado_Fad_Exp_Ops.hpp.

CosOp

expr expr CosOp

Definition at line 192 of file Sacado_Fad_Exp_Ops.hpp.

SinOp

expr expr SinOp

Definition at line 198 of file Sacado_Fad_Exp_Ops.hpp.

TanOp

expr expr TanOp

Definition at line 204 of file Sacado_Fad_Exp_Ops.hpp.

ACosOp

expr expr ACosOp

Definition at line 212 of file Sacado_Fad_Exp_Ops.hpp.

ASinOp

expr expr ASinOp

Definition at line 219 of file Sacado_Fad_Exp_Ops.hpp.

ATanOp

expr expr ATanOp

Definition at line 226 of file Sacado_Fad_Exp_Ops.hpp.

CoshOp

expr expr CoshOp

Definition at line 232 of file Sacado_Fad_Exp_Ops.hpp.

SinhOp

expr expr SinhOp

Definition at line 238 of file Sacado_Fad_Exp_Ops.hpp.

TanhOp

expr expr TanhOp

Definition at line 244 of file Sacado_Fad_Exp_Ops.hpp.

ACoshOp

expr expr ACoshOp

Definition at line 250 of file Sacado_Fad_Exp_Ops.hpp.

ASinhOp

expr expr ASinhOp

Definition at line 258 of file Sacado_Fad_Exp_Ops.hpp.

ATanhOp

expr expr ATanhOp

Definition at line 265 of file Sacado_Fad_Exp_Ops.hpp.

AbsOp

expr expr AbsOp

Definition at line 272 of file Sacado_Fad_Exp_Ops.hpp.

FAbsOp

FAbsOp

Definition at line 278 of file Sacado_Fad_Exp_Ops.hpp.

CbrtOp

CbrtOp

Definition at line 284 of file Sacado_Fad_Exp_Ops.hpp.

SubtractionOp

SubtractionOp

Definition at line 762 of file Sacado_Fad_Exp_Ops.hpp.

MultiplicationOp

expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 MultiplicationOp

Definition at line 776 of file Sacado_Fad_Exp_Ops.hpp.

DivisionOp

expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 expr1 expr1 c *expr2 expr1 c *expr2 expr1 c *expr2 expr1 DivisionOp

Definition at line 791 of file Sacado_Fad_Exp_Ops.hpp.

Atan2Op

expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 expr1 expr1 c *expr2 expr1 c *expr2 expr1 c *expr2 expr1 expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 Atan2Op

Definition at line 808 of file Sacado_Fad_Exp_Ops.hpp.

MaxOp

expr2 expr1 expr2 expr2 c *expr2 c *expr1 c *expr2 c *expr1 MaxOp

Definition at line 840 of file Sacado_Fad_Exp_Ops.hpp.

MinOp

MinOp

Definition at line 854 of file Sacado_Fad_Exp_Ops.hpp.