#include "Sacado_Fad_Expression.hpp"
#include "Sacado_Fad_Ops_Fwd.hpp"
#include "Sacado_cmath.hpp"
#include <ostream>

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Classes
class	Sacado::Fad::PowerOp< ExprT1, ExprT2, Impl >
struct	Sacado::Fad::ExprSpec< PowerOp< ExprT1, ExprT2 > >
struct	Sacado::Fad::ExprSpec< PowerOp< ExprT1, ConstExpr< T2 > > >
struct	Sacado::Fad::ExprSpec< PowerOp< ConstExpr< T1 >, ExprT2 > >
class	Sacado::Fad::Expr< PowerOp< ExprT1, ExprT2, PowerImpl::Simd >, ExprSpecDefault >
class	Sacado::Fad::Expr< PowerOp< ExprT1, ConstExpr< T2 >, PowerImpl::Simd >, ExprSpecDefault >
class	Sacado::Fad::Expr< PowerOp< ConstExpr< T1 >, ExprT2, PowerImpl::Simd >, ExprSpecDefault >
class	Sacado::Fad::Expr< PowerOp< ExprT1, ExprT2, PowerImpl::Scalar >, ExprSpecDefault >
class	Sacado::Fad::Expr< PowerOp< ExprT1, ConstExpr< T2 >, PowerImpl::Scalar >, ExprSpecDefault >
class	Sacado::Fad::Expr< PowerOp< ConstExpr< T1 >, ExprT2, PowerImpl::Scalar >, ExprSpecDefault >
class	Sacado::Fad::Expr< PowerOp< ExprT1, ExprT2, PowerImpl::Nested >, ExprSpecDefault >
class	Sacado::Fad::Expr< PowerOp< ExprT1, ConstExpr< T2 >, PowerImpl::Nested >, ExprSpecDefault >
class	Sacado::Fad::Expr< PowerOp< ConstExpr< T1 >, ExprT2, PowerImpl::Nested >, ExprSpecDefault >
class	Sacado::Fad::Expr< PowerOp< ExprT1, ExprT2, PowerImpl::NestedSimd >, ExprSpecDefault >
class	Sacado::Fad::Expr< PowerOp< ExprT1, ConstExpr< T2 >, PowerImpl::NestedSimd >, ExprSpecDefault >
class	Sacado::Fad::Expr< PowerOp< ConstExpr< T1 >, ExprT2, PowerImpl::NestedSimd >, ExprSpecDefault >
class	Sacado::Fad::IfThenElseOp< CondT, ExprT1, ExprT2 >
struct	Sacado::Fad::ExprSpec< IfThenElseOp< CondT, ExprT1, ExprT2 > >
class	Sacado::Fad::Expr< IfThenElseOp< CondT, ExprT1, ExprT2 >, ExprSpecDefault >
struct	Sacado::Fad::ExprSpec< IfThenElseOp< CondT, ExprT1, ConstExpr< T2 > > >
class	Sacado::Fad::Expr< IfThenElseOp< CondT, ExprT1, ConstExpr< T2 > >, ExprSpecDefault >
struct	Sacado::Fad::ExprSpec< IfThenElseOp< CondT, ConstExpr< T1 >, ExprT2 > >
class	Sacado::Fad::Expr< IfThenElseOp< CondT, ConstExpr< T1 >, ExprT2 >, ExprSpecDefault >
struct	Sacado::Fad::ConditionalReturnType< T1, T2 >

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

Macros
#define	FAD_UNARYOP_MACRO(OPNAME, OP, USING, VALUE, DX, FASTACCESSDX)
#define	FAD_BINARYOP_MACRO(OPNAME, OP, USING, VALUE, DX, 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 ()
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())
	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), expr1.fastAccessDx(i)+expr2.fastAccessDx(i), c.val()+expr2.val(), expr1.val()+c.val(), expr2.dx(i), expr1.dx(i), expr2.fastAccessDx(i), expr1.fastAccessDx(i)) FAD_BINARYOP_MACRO(operator-
	atan2 (expr1.val(), expr2.val())
expr2 expr2	atan2 (c.val(), expr2.val())
expr2 expr2	atan2 (expr1.val(), c.val())
	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 (c.val() >=expr2.val(), value_type(c.val()), expr2.val())
	if_then_else (expr1.val() >=c.val(), expr1.val(), value_type(c.val()))
	if_then_else (c.val() >=expr2.val(), value_type(0.0), expr2.dx(i))
	if_then_else (expr1.val() >=c.val(), 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 (c.val()<=expr2.val(), value_type(c.val()), expr2.val())
	if_then_else (expr1.val()<=c.val(), expr1.val(), value_type(c.val()))
	if_then_else (c.val()<=expr2.val(), value_type(0), expr2.dx(i))
	if_then_else (expr1.val()<=c.val(), expr1.dx(i), value_type(0))
template<typename T1, typename T2>
SACADO_INLINE_FUNCTION mpl::enable_if_c< ExprLevel< Expr< T1 > >::value==ExprLevel< Expr< T2 > >::value, Expr< PowerOp< Expr< T1 >, Expr< T2 > > > >::type	Sacado::Fad::pow (const Expr< T1 > &expr1, const Expr< T2 > &expr2)
template<typename T>
SACADO_INLINE_FUNCTION Expr< PowerOp< Expr< T >, Expr< T > > >	Sacado::Fad::pow (const Expr< T > &expr1, const Expr< T > &expr2)
template<typename T>
SACADO_INLINE_FUNCTION Expr< PowerOp< ConstExpr< typename Expr< T >::value_type >, Expr< T > > >	Sacado::Fad::pow (const typename Expr< T >::value_type &c, const Expr< T > &expr)
template<typename T>
SACADO_INLINE_FUNCTION Expr< PowerOp< Expr< T >, ConstExpr< typename Expr< T >::value_type > > >	Sacado::Fad::pow (const Expr< T > &expr, const typename Expr< T >::value_type &c)
template<typename T>
SACADO_INLINE_FUNCTION	Sacado::Fad::pow (const typename Expr< T >::scalar_type &c, const Expr< T > &expr)
template<typename T>
SACADO_INLINE_FUNCTION	Sacado::Fad::pow (const Expr< T > &expr, const typename Expr< T >::scalar_type &c)
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, Expr< IfThenElseOp< CondT, T1, T2 > > >::type	Sacado::Fad::if_then_else (const CondT &cond, const T1 &expr1, const T2 &expr2)
template<typename CondT, typename T>
SACADO_INLINE_FUNCTION Expr< IfThenElseOp< CondT, Expr< T >, Expr< T > > >	Sacado::Fad::if_then_else (const CondT &cond, const Expr< T > &expr1, const Expr< T > &expr2)
template<typename CondT, typename T>
SACADO_INLINE_FUNCTION Expr< IfThenElseOp< CondT, ConstExpr< typename Expr< T >::value_type >, Expr< T > > >	Sacado::Fad::if_then_else (const CondT &cond, const typename Expr< T >::value_type &c, const Expr< T > &expr)
template<typename CondT, typename T>
SACADO_INLINE_FUNCTION Expr< IfThenElseOp< CondT, Expr< T >, ConstExpr< typename Expr< T >::value_type > > >	Sacado::Fad::if_then_else (const CondT &cond, const Expr< T > &expr, const typename Expr< T >::value_type &c)
template<typename CondT, typename T>
SACADO_INLINE_FUNCTION mpl::disable_if< std::is_same< typenameExpr< T >::value_type, typenameExpr< T >::scalar_type >, Expr< IfThenElseOp< CondT, ConstExpr< typenameExpr< T >::scalar_type >, Expr< T > > > >::type	Sacado::Fad::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< std::is_same< typenameExpr< T >::value_type, typenameExpr< T >::scalar_type >, Expr< IfThenElseOp< CondT, Expr< T >, ConstExpr< typenameExpr< T >::scalar_type > > > >::type	Sacado::Fad::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::operator! (const Expr< ExprT > &expr)
template<typename ExprT>
SACADO_INLINE_FUNCTION bool	Sacado::Fad::toBool (const Expr< ExprT > &x)
template<typename ExprT>
std::ostream &	Sacado::Fad::operator<< (std::ostream &os, const Expr< ExprT > &x)
template<typename Cond, typename T>
SACADO_INLINE_FUNCTION T	if_then_else (const Cond cond, const T &a, const T &b)
template<typename Cond, typename T>
SACADO_INLINE_FUNCTION T	if_then_else (const Cond cond, const T &a, const T &b)
template<typename Cond, typename T>
SACADO_INLINE_FUNCTION T	if_then_else (const Cond cond, const T &a, const T &b)
template<typename Cond, typename T>
SACADO_INLINE_FUNCTION T	if_then_else (const Cond cond, const T &a, const T &b)

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 expr1 c expr1 expr2 expr1 expr2 expr1	DivisionOp
expr1 expr1 expr1 c expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr1 c expr1 expr2 expr1 expr2 expr1	Atan2Op
expr2 expr2 c c c c	MaxOp
	MinOp

Macro Definition Documentation

◆ FAD_UNARYOP_MACRO

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

Definition at line 60 of file Sacado_Fad_Ops.hpp.

◆ FAD_BINARYOP_MACRO

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

Definition at line 409 of file Sacado_Fad_Ops.hpp.

◆ FAD_RELOP_MACRO

#define FAD_RELOP_MACRO ( OP )

Definition at line 2505 of file Sacado_Fad_Ops.hpp.

◆ FAD_BOOL_MACRO

#define FAD_BOOL_MACRO ( OP )

Value:

namespace Sacado {                                                      \
  namespace Fad {                                                       \
    template <typename ExprT1, typename ExprT2>                         \
    SACADO_INLINE_FUNCTION                                              \
    bool                                                                \
    operator OP (const Expr<ExprT1>& expr1,                             \
                 const Expr<ExprT2>& expr2)                             \
    {                                                                   \
      return toBool(expr1) OP toBool(expr2);                            \
    }                                                                   \
                                                                        \
    template <typename ExprT2>                                          \
    SACADO_INLINE_FUNCTION                                              \
    bool                                                                \
    operator OP (const typename Expr<ExprT2>::value_type& a,            \
                 const Expr<ExprT2>& expr2)                             \
    {                                                                   \
      return a OP toBool(expr2);                                        \
    }                                                                   \
                                                                        \
    template <typename ExprT1>                                          \
    SACADO_INLINE_FUNCTION                                              \
    bool                                                                \
    operator OP (const Expr<ExprT1>& expr1,                             \
                 const typename Expr<ExprT1>::value_type& b)            \
    {                                                                   \
      return toBool(expr1) OP b;                                        \
    }                                                                   \
  }                                                                     \
}

Definition at line 2584 of file Sacado_Fad_Ops.hpp.

Function Documentation

◆ FAD_UNARYOP_MACRO()

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

◆ val()

expr val ( )

◆ dx()

expr expr dx ( i )

◆ fastAccessDx()

expr expr expr fastAccessDx ( i )

Definition at line 267 of file Sacado_Fad_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() )

◆ 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))	)

◆ 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,
		expr1.	fastAccessDxi)+expr2.fastAccessDx(i,
		c.	val)+expr2.val(,
		expr1.	val)+c.val(,
		expr2.	dxi,
		expr1.	dxi,
		expr2.	fastAccessDxi,
		expr1.	fastAccessDxi )

◆ atan2() [1/3]

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

◆ atan2() [2/3]

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

◆ atan2() [3/3]

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

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

◆ if_then_else() [6/18]

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

◆ if_then_else() [7/18]

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

◆ if_then_else() [8/18]

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

◆ if_then_else() [9/18]

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

◆ if_then_else() [10/18]

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

◆ if_then_else() [11/18]

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

◆ if_then_else() [12/18]

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

◆ if_then_else() [13/18]

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

◆ if_then_else() [14/18]

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

Definition at line 826 of file Sacado_Fad_Ops.hpp.

◆ if_then_else() [15/18]

template<typename Cond, typename T>

SACADO_INLINE_FUNCTION T Sacado::if_then_else	(	const Cond	cond,
		const T &	a,
		const T &	b )

Definition at line 44 of file Sacado_cmath.hpp.

◆ if_then_else() [16/18]

template<typename Cond, typename T>

SACADO_INLINE_FUNCTION T Sacado::if_then_else	(	const Cond	cond,
		const T &	a,
		const T &	b )

Definition at line 44 of file Sacado_cmath.hpp.

◆ if_then_else() [17/18]

template<typename Cond, typename T>

SACADO_INLINE_FUNCTION T Sacado::if_then_else	(	const Cond	cond,
		const T &	a,
		const T &	b )

Definition at line 44 of file Sacado_cmath.hpp.

◆ if_then_else() [18/18]

template<typename Cond, typename T>

SACADO_INLINE_FUNCTION T Sacado::if_then_else	(	const Cond	cond,
		const T &	a,
		const T &	b )

Definition at line 44 of file Sacado_cmath.hpp.

Variable Documentation

◆ UnaryMinusOp

UnaryMinusOp

Definition at line 141 of file Sacado_Fad_Ops.hpp.

◆ ExpOp

expr expr expr ExpOp

Definition at line 147 of file Sacado_Fad_Ops.hpp.

◆ LogOp

LogOp

Definition at line 153 of file Sacado_Fad_Ops.hpp.

◆ Log10Op

expr expr Log10Op

Definition at line 159 of file Sacado_Fad_Ops.hpp.

◆ SqrtOp

expr expr SqrtOp

Definition at line 165 of file Sacado_Fad_Ops.hpp.

◆ CosOp

expr expr CosOp

Definition at line 171 of file Sacado_Fad_Ops.hpp.

◆ SinOp

expr expr SinOp

Definition at line 177 of file Sacado_Fad_Ops.hpp.

◆ TanOp

expr expr TanOp

Definition at line 183 of file Sacado_Fad_Ops.hpp.

◆ ACosOp

expr expr ACosOp

Definition at line 191 of file Sacado_Fad_Ops.hpp.

◆ ASinOp

expr expr ASinOp

Definition at line 198 of file Sacado_Fad_Ops.hpp.

◆ ATanOp

expr expr ATanOp

Definition at line 205 of file Sacado_Fad_Ops.hpp.

◆ CoshOp

expr expr CoshOp

Definition at line 211 of file Sacado_Fad_Ops.hpp.

◆ SinhOp

expr expr SinhOp

Definition at line 217 of file Sacado_Fad_Ops.hpp.

◆ TanhOp

expr expr TanhOp

Definition at line 223 of file Sacado_Fad_Ops.hpp.

◆ ACoshOp

expr expr ACoshOp

Definition at line 229 of file Sacado_Fad_Ops.hpp.

◆ ASinhOp

expr expr ASinhOp

Definition at line 237 of file Sacado_Fad_Ops.hpp.

◆ ATanhOp

expr expr ATanhOp

Definition at line 244 of file Sacado_Fad_Ops.hpp.

◆ AbsOp

expr expr AbsOp

Definition at line 251 of file Sacado_Fad_Ops.hpp.

◆ FAbsOp

FAbsOp

Definition at line 257 of file Sacado_Fad_Ops.hpp.

◆ CbrtOp

CbrtOp

Definition at line 263 of file Sacado_Fad_Ops.hpp.

◆ SubtractionOp

SubtractionOp

Definition at line 738 of file Sacado_Fad_Ops.hpp.

◆ DivisionOp

expr1 expr1 expr1 c expr1 expr2 expr1 expr2 expr1 DivisionOp

Definition at line 763 of file Sacado_Fad_Ops.hpp.

◆ Atan2Op

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

Definition at line 778 of file Sacado_Fad_Ops.hpp.

◆ MaxOp

expr2 expr2 c c c c MaxOp

Definition at line 804 of file Sacado_Fad_Ops.hpp.

◆ MinOp

MinOp

Definition at line 816 of file Sacado_Fad_Ops.hpp.

Classes

Namespaces

Macros

Functions

Variables

Macro Definition Documentation

◆ FAD_UNARYOP_MACRO

◆ FAD_BINARYOP_MACRO

◆ FAD_RELOP_MACRO

◆ FAD_BOOL_MACRO

Function Documentation

◆ FAD_UNARYOP_MACRO()

◆ val()

◆ dx()

◆ fastAccessDx()

◆ exp()

◆ log()

◆ log10()

◆ sqrt()

◆ cos()

◆ sin()

◆ acos()

◆ asin()

◆ atan()

◆ cosh()

◆ sinh()

◆ tanh()

◆ acosh()

◆ asinh()

◆ atanh()

◆ abs()

◆ if_then_else() [1/18]

◆ if_then_else() [2/18]

◆ fabs()

◆ cbrt()

◆ FAD_BINARYOP_MACRO()

◆ atan2() [1/3]

◆ atan2() [2/3]

◆ atan2() [3/3]

◆ if_then_else() [3/18]

◆ if_then_else() [4/18]

◆ if_then_else() [5/18]

◆ if_then_else() [6/18]

◆ if_then_else() [7/18]

◆ if_then_else() [8/18]

◆ if_then_else() [9/18]

◆ if_then_else() [10/18]

◆ if_then_else() [11/18]

◆ if_then_else() [12/18]

◆ if_then_else() [13/18]

◆ if_then_else() [14/18]

◆ if_then_else() [15/18]

◆ if_then_else() [16/18]

◆ if_then_else() [17/18]

◆ if_then_else() [18/18]

Variable Documentation

◆ UnaryMinusOp

◆ ExpOp

◆ LogOp

◆ Log10Op

◆ SqrtOp

◆ CosOp

◆ SinOp

◆ TanOp

◆ ACosOp

◆ ASinOp

◆ ATanOp

◆ CoshOp

◆ SinhOp

◆ TanhOp

◆ ACoshOp

◆ ASinhOp

◆ ATanhOp

◆ AbsOp

◆ FAbsOp

◆ CbrtOp

◆ SubtractionOp

◆ DivisionOp

◆ Atan2Op

◆ MaxOp