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Sacado_Fad_Exp_Ops.hpp File Reference
#include <type_traits>
#include <ostream>
#include "Sacado_Fad_Expression.hpp"
#include "Sacado_cmath.hpp"
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Classes

struct  Sacado::Fad::Exp::ConditionalReturnType< T1, T2 >
 

Namespaces

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

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())
 
 atan2 (expr1.val(), expr2.val())
 
expr2 expr1 expr2 expr2 atan2 (c, expr2.val())
 
expr2 expr1 expr2 expr2 atan2 (expr1.val(), c)
 
 pow (expr1.val(), expr2.val())
 
 if_then_else (expr1.val()==value_type(0.0), value_type(0.0), value_type((expr2.dx(i) *log(expr1.val())+expr2.val() *expr1.dx(i)/expr1.val()) *pow(expr1.val(), expr2.val())))
 
 if_then_else (expr1.val()==value_type(0.0), value_type(0.0), value_type(expr2.dx(i) *log(expr1.val()) *pow(expr1.val(), expr2.val())))
 
 if_then_else (expr1.val()==value_type(0.0), value_type(0.0), value_type(expr2.val() *expr1.dx(i)/expr1.val() *pow(expr1.val(), expr2.val())))
 
 if_then_else (expr1.val()==value_type(0.0), value_type(0.0), value_type((expr2.fastAccessDx(i) *log(expr1.val())+expr2.val() *expr1.fastAccessDx(i)/expr1.val()) *pow(expr1.val(), expr2.val())))
 
 pow (c, expr2.val())
 
 pow (expr1.val(), c)
 
 if_then_else (c==value_type(0.0), value_type(0.0), value_type(expr2.dx(i) *log(c) *pow(c, expr2.val())))
 
 if_then_else (expr1.val()==value_type(0.0), value_type(0.0), value_type(c *expr1.dx(i)/expr1.val() *pow(expr1.val(), c)))
 
 if_then_else (c==value_type(0.0), value_type(0.0), value_type(expr2.fastAccessDx(i) *log(c) *pow(c, expr2.val())))
 
 if_then_else (expr1.val()==value_type(0.0), value_type(0.0), value_type(c *expr1.fastAccessDx(i)/expr1.val() *pow(expr1.val(), c)))) FAD_BINARYOP_MACRO(max
 
 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 ExprT >
KOKKOS_INLINE_FUNCTION bool Sacado::Fad::Exp::operator! (const Expr< ExprT > &expr)
 
template<typename T >
KOKKOS_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
 
expr expr AdditionOp
 
expr expr expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 SubtractionOp
 
expr expr expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 MultiplicationOp
 
expr expr expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 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
 
expr expr expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 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 PowerOp
 
 MaxOp
 
 MinOp
 

Macro Definition Documentation

◆ FAD_UNARYOP_MACRO

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

Definition at line 45 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 
)

◆ FAD_RELOP_MACRO

#define FAD_RELOP_MACRO (   OP)

Definition at line 970 of file Sacado_Fad_Exp_Ops.hpp.

◆ FAD_BOOL_MACRO

#define FAD_BOOL_MACRO (   OP)

Definition at line 1059 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  )

◆ 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() [1/26]

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

◆ if_then_else() [2/26]

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

◆ fabs()

fabs ( expr.  val())

◆ cbrt()

cbrt ( expr.  val())

◆ 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   
)

◆ pow() [1/3]

pow ( expr1.  val(),
expr2.  val() 
)

◆ if_then_else() [3/26]

if_then_else ( expr1.  val() = = value_type(0.0),
value_type(0.0)  ,
value_type((expr2.dx(i) *log(expr1.val())+expr2.val() *expr1.dx(i)/expr1.val()) *pow(expr1.val(), expr2.val()))   
)

◆ if_then_else() [4/26]

if_then_else ( expr1.  val() = = value_type(0.0),
value_type(0.0)  ,
value_type(expr2.dx(i) *log(expr1.val()) *pow(expr1.val(), expr2.val()))   
)

◆ if_then_else() [5/26]

if_then_else ( expr1.  val() = = value_type(0.0),
value_type(0.0)  ,
value_type(expr2.val() *expr1.dx(i)/expr1.val() *pow(expr1.val(), expr2.val()))   
)

◆ if_then_else() [6/26]

if_then_else ( expr1.  val() = = value_type(0.0),
value_type(0.0)  ,
value_type((expr2.fastAccessDx(i) *log(expr1.val())+expr2.val() *expr1.fastAccessDx(i)/expr1.val()) *pow(expr1.val(), expr2.val()))   
)

◆ pow() [2/3]

pow ( c  ,
expr2.  val() 
)

◆ pow() [3/3]

pow ( expr1.  val(),
c   
)

◆ if_then_else() [7/26]

if_then_else ( c  = = value_type(0.0),
value_type(0.0)  ,
value_type(expr2.dx(i) *log(c) *pow(c, expr2.val()))   
)

◆ if_then_else() [8/26]

if_then_else ( expr1.  val() = = value_type(0.0),
value_type(0.0)  ,
value_type(c *expr1.dx(i)/expr1.val() *pow(expr1.val(), c))   
)

◆ if_then_else() [9/26]

if_then_else ( c  = = value_type(0.0),
value_type(0.0)  ,
value_type(expr2.fastAccessDx(i) *log(c) *pow(c, expr2.val()))   
)

◆ if_then_else() [10/26]

if_then_else ( expr1.  val() = = value_type(0.0),
value_type(0.0)  ,
value_type(c *expr1.fastAccessDx(i)/expr1.val() *pow(expr1.val(), c))   
)

◆ if_then_else() [11/26]

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

◆ if_then_else() [12/26]

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

◆ if_then_else() [13/26]

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

◆ if_then_else() [14/26]

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

◆ if_then_else() [15/26]

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

◆ if_then_else() [16/26]

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

◆ if_then_else() [17/26]

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

◆ if_then_else() [18/26]

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

◆ if_then_else() [19/26]

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

◆ if_then_else() [20/26]

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

◆ if_then_else() [21/26]

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

◆ if_then_else() [22/26]

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

◆ if_then_else() [23/26]

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

◆ if_then_else() [24/26]

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

◆ if_then_else() [25/26]

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

◆ if_then_else() [26/26]

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

Definition at line 665 of file Sacado_Fad_Exp_Ops.hpp.

Variable Documentation

◆ UnaryMinusOp

UnaryMinusOp

Definition at line 142 of file Sacado_Fad_Exp_Ops.hpp.

◆ ExpOp

expr expr expr ExpOp

Definition at line 148 of file Sacado_Fad_Exp_Ops.hpp.

◆ LogOp

LogOp

Definition at line 154 of file Sacado_Fad_Exp_Ops.hpp.

◆ Log10Op

expr expr Log10Op

Definition at line 160 of file Sacado_Fad_Exp_Ops.hpp.

◆ SqrtOp

expr expr SqrtOp

Definition at line 166 of file Sacado_Fad_Exp_Ops.hpp.

◆ CosOp

expr expr CosOp

Definition at line 172 of file Sacado_Fad_Exp_Ops.hpp.

◆ SinOp

expr expr SinOp

Definition at line 178 of file Sacado_Fad_Exp_Ops.hpp.

◆ TanOp

expr expr TanOp

Definition at line 184 of file Sacado_Fad_Exp_Ops.hpp.

◆ ACosOp

expr expr ACosOp

Definition at line 192 of file Sacado_Fad_Exp_Ops.hpp.

◆ ASinOp

expr expr ASinOp

Definition at line 199 of file Sacado_Fad_Exp_Ops.hpp.

◆ ATanOp

expr expr ATanOp

Definition at line 206 of file Sacado_Fad_Exp_Ops.hpp.

◆ CoshOp

expr expr CoshOp

Definition at line 212 of file Sacado_Fad_Exp_Ops.hpp.

◆ SinhOp

expr expr SinhOp

Definition at line 218 of file Sacado_Fad_Exp_Ops.hpp.

◆ TanhOp

expr expr TanhOp

Definition at line 224 of file Sacado_Fad_Exp_Ops.hpp.

◆ ACoshOp

expr expr ACoshOp

Definition at line 231 of file Sacado_Fad_Exp_Ops.hpp.

◆ ASinhOp

expr expr ASinhOp

Definition at line 239 of file Sacado_Fad_Exp_Ops.hpp.

◆ ATanhOp

expr expr ATanhOp

Definition at line 246 of file Sacado_Fad_Exp_Ops.hpp.

◆ AbsOp

expr expr AbsOp

Definition at line 253 of file Sacado_Fad_Exp_Ops.hpp.

◆ FAbsOp

FAbsOp

Definition at line 259 of file Sacado_Fad_Exp_Ops.hpp.

◆ CbrtOp

CbrtOp

Definition at line 265 of file Sacado_Fad_Exp_Ops.hpp.

◆ AdditionOp

expr expr AdditionOp

Definition at line 547 of file Sacado_Fad_Exp_Ops.hpp.

◆ SubtractionOp

expr expr expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 SubtractionOp

Definition at line 561 of file Sacado_Fad_Exp_Ops.hpp.

◆ MultiplicationOp

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

Definition at line 575 of file Sacado_Fad_Exp_Ops.hpp.

◆ DivisionOp

expr expr expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 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 590 of file Sacado_Fad_Exp_Ops.hpp.

◆ Atan2Op

expr expr expr1 expr1 expr2 expr1 expr1 c expr2 expr1 expr2 expr1 expr2 expr1 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 607 of file Sacado_Fad_Exp_Ops.hpp.

◆ PowerOp

expr2 expr1 expr2 expr2 c* expr2 c* expr1 c* expr2 c* expr1 PowerOp

Definition at line 625 of file Sacado_Fad_Exp_Ops.hpp.

◆ MaxOp

MaxOp

Definition at line 639 of file Sacado_Fad_Exp_Ops.hpp.

◆ MinOp

MinOp

Definition at line 653 of file Sacado_Fad_Exp_Ops.hpp.

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