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Sacado_Fad_Ops.hpp File Reference
#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

 Sacado
 
 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
< typename Expr< T >
::value_type, typename Expr< T >
::scalar_type >, Expr
< IfThenElseOp< CondT,
ConstExpr< typename Expr< 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
< typename Expr< T >
::value_type, typename Expr< T >
::scalar_type >, Expr
< IfThenElseOp< CondT, Expr< T >
, ConstExpr< typename Expr< 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)
 

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

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

Definition at line 41 of file Sacado_Fad_Ops.hpp.

#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 390 of file Sacado_Fad_Ops.hpp.

#define FAD_RELOP_MACRO (   OP)

Definition at line 2486 of file Sacado_Fad_Ops.hpp.

#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; \
} \
} \
}
a
a
Definition: Sacado_CacheFad_Ops.hpp:407
Sacado::Fad::Exp::toBool
SACADO_INLINE_FUNCTION bool toBool(const Expr< T > &xx)
Definition: Sacado_Fad_Exp_Ops.hpp:2105
SACADO_INLINE_FUNCTION
#define SACADO_INLINE_FUNCTION
Definition: Sacado_ConfigDefs.h:88

Definition at line 2565 of file Sacado_Fad_Ops.hpp.

Function Documentation

FAD_UNARYOP_MACRO ( operator+  ,
UnaryPlusOp  ,
;  ,
expr.  val(),
expr.  dxi,
expr.  fastAccessDxi 
)
expr val ( )
expr expr dx ( i  )
expr expr expr fastAccessDx ( i  )
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.  dxi,
value_type(-expr.dx(i))   
)
if_then_else ( expr.val() >=  0,
expr.  fastAccessDxi,
value_type(-expr.fastAccessDx(i))   
)
fabs ( expr.  val())
cbrt ( expr.  val())
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 ( 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.  dxi,
expr2.  dxi 
)
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.  dxi 
)
if_then_else ( expr1.  val) >=c.val(,
expr1.  dxi,
value_type(0.0)   
)
if_then_else ( expr1.  val)<=expr2.val(,
expr1.  val(),
expr2.  val() 
)
if_then_else ( expr1.  val)<=expr2.val(,
expr1.  dxi,
expr2.  dxi 
)
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.  dxi 
)
if_then_else ( expr1.  val)<=c.val(,
expr1.  dxi,
value_type(0)   
)

Definition at line 807 of file Sacado_Fad_Ops.hpp.

Variable Documentation

UnaryMinusOp

Definition at line 122 of file Sacado_Fad_Ops.hpp.

expr expr expr ExpOp

Definition at line 128 of file Sacado_Fad_Ops.hpp.

LogOp

Definition at line 134 of file Sacado_Fad_Ops.hpp.

expr expr Log10Op

Definition at line 140 of file Sacado_Fad_Ops.hpp.

expr expr SqrtOp

Definition at line 146 of file Sacado_Fad_Ops.hpp.

expr expr CosOp

Definition at line 152 of file Sacado_Fad_Ops.hpp.

expr expr SinOp

Definition at line 158 of file Sacado_Fad_Ops.hpp.

expr expr TanOp

Definition at line 164 of file Sacado_Fad_Ops.hpp.

expr expr ACosOp

Definition at line 172 of file Sacado_Fad_Ops.hpp.

expr expr ASinOp

Definition at line 179 of file Sacado_Fad_Ops.hpp.

expr expr ATanOp

Definition at line 186 of file Sacado_Fad_Ops.hpp.

expr expr CoshOp

Definition at line 192 of file Sacado_Fad_Ops.hpp.

expr expr SinhOp

Definition at line 198 of file Sacado_Fad_Ops.hpp.

expr expr TanhOp

Definition at line 204 of file Sacado_Fad_Ops.hpp.

expr expr ACoshOp

Definition at line 210 of file Sacado_Fad_Ops.hpp.

expr expr ASinhOp

Definition at line 218 of file Sacado_Fad_Ops.hpp.

expr expr ATanhOp

Definition at line 225 of file Sacado_Fad_Ops.hpp.

expr expr AbsOp

Definition at line 232 of file Sacado_Fad_Ops.hpp.

FAbsOp

Definition at line 238 of file Sacado_Fad_Ops.hpp.

CbrtOp

Definition at line 244 of file Sacado_Fad_Ops.hpp.

SubtractionOp

Definition at line 719 of file Sacado_Fad_Ops.hpp.

expr1 expr1 expr1 c expr1 expr2 expr1 expr2 expr1 DivisionOp

Definition at line 744 of file Sacado_Fad_Ops.hpp.

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

Definition at line 759 of file Sacado_Fad_Ops.hpp.

expr2 expr2 c c c c MaxOp

Definition at line 785 of file Sacado_Fad_Ops.hpp.

MinOp

Definition at line 797 of file Sacado_Fad_Ops.hpp.

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