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Sacado_MathFunctions.hpp
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29 
30 #ifndef SACADO_MATHFUNCTIONS_HPP
31 #define SACADO_MATHFUNCTIONS_HPP
32 
33 #include <cmath>
34 
35 #include "Sacado_ConfigDefs.h"
36 #include "Sacado_Base.hpp"
37 #include "Sacado_Fad_ExpressionFwd.hpp"
38 #include "Sacado_SFINAE_Macros.hpp"
39 
40 // Note: Sacado::Fad::Ops are forward-declared here, instead of in macros
41 // below.
42 #include "Sacado_Fad_Ops_Fwd.hpp"
43 
44 #define UNARYFUNC_MACRO(OP,FADOP) \
45 namespace Sacado { \
46  \
47  namespace Fad { \
48  template <typename T> \
49  KOKKOS_INLINE_FUNCTION \
50  Expr< FADOP< Expr<T> > > OP (const Expr<T>&); \
51  \
52  template <typename T> class SimpleFad; \
53  template <typename T> \
54  SimpleFad<T> OP (const SimpleFad<T>&); \
55  } \
56  \
57  namespace ELRFad { \
58  template <typename T> class FADOP; \
59  template <typename T> class Expr; \
60  template <typename T> \
61  KOKKOS_INLINE_FUNCTION \
62  Expr< FADOP< Expr<T> > > OP (const Expr<T>&); \
63  } \
64  \
65  namespace CacheFad { \
66  template <typename T> class FADOP; \
67  template <typename T> class Expr; \
68  template <typename T> \
69  KOKKOS_INLINE_FUNCTION \
70  Expr< FADOP< Expr<T> > > OP (const Expr<T>&); \
71  } \
72  \
73  namespace ELRCacheFad { \
74  template <typename T> class FADOP; \
75  template <typename T> class Expr; \
76  template <typename T> \
77  KOKKOS_INLINE_FUNCTION \
78  Expr< FADOP< Expr<T> > > OP (const Expr<T>&); \
79  } \
80  \
81  namespace LFad { \
82  template <typename T> class FADOP; \
83  template <typename T> class Expr; \
84  template <typename T> \
85  Expr< FADOP< Expr<T> > > OP (const Expr<T>&); \
86  } \
87  \
88  namespace Tay { \
89  template <typename T> class Taylor; \
90  template <typename T> Taylor<T> OP (const Base< Taylor<T> >&); \
91  } \
92  \
93  namespace FlopCounterPack { \
94  template <typename T> class ScalarFlopCounter; \
95  template <typename T> \
96  ScalarFlopCounter<T> OP (const Base< ScalarFlopCounter<T> >&); \
97  } \
98  \
99  namespace Rad { \
100  template <typename T> class ADvari; \
101  template <typename T> class IndepADvar; \
102  template <typename T> ADvari<T>& OP (const Base< ADvari<T> >&); \
103  template <typename T> ADvari<T>& OP (const Base< IndepADvar<T> >&); \
104  } \
105 } \
106  \
107 namespace std { \
108  using Sacado::Fad::OP; \
109  using Sacado::ELRFad::OP; \
110  using Sacado::CacheFad::OP; \
111  using Sacado::ELRCacheFad::OP; \
112  using Sacado::LFad::OP; \
113  using Sacado::Tay::OP; \
114  using Sacado::FlopCounterPack::OP; \
115  using Sacado::Rad::OP; \
116 }
117 
118 UNARYFUNC_MACRO(exp, ExpOp)
119 UNARYFUNC_MACRO(log, LogOp)
120 UNARYFUNC_MACRO(log10, Log10Op)
121 UNARYFUNC_MACRO(sqrt, SqrtOp)
122 UNARYFUNC_MACRO(cos, CosOp)
123 UNARYFUNC_MACRO(sin, SinOp)
124 UNARYFUNC_MACRO(tan, TanOp)
125 UNARYFUNC_MACRO(acos, ACosOp)
126 UNARYFUNC_MACRO(asin, ASinOp)
127 UNARYFUNC_MACRO(atan, ATanOp)
128 UNARYFUNC_MACRO(cosh, CoshOp)
129 UNARYFUNC_MACRO(sinh, SinhOp)
130 UNARYFUNC_MACRO(tanh, TanhOp)
131 UNARYFUNC_MACRO(acosh, ACoshOp)
132 UNARYFUNC_MACRO(asinh, ASinhOp)
133 UNARYFUNC_MACRO(atanh, ATanhOp)
134 UNARYFUNC_MACRO(abs, AbsOp)
135 UNARYFUNC_MACRO(fabs, FAbsOp)
136 #ifdef HAVE_SACADO_CXX11
137 UNARYFUNC_MACRO(cbrt, CbrtOp)
138 #endif
139 
140 #undef UNARYFUNC_MACRO
141 
142 namespace Sacado {
143  namespace Fad {
144  template <typename T>
145  KOKKOS_INLINE_FUNCTION
146  Expr< SafeSqrtOp< Expr<T> > > safe_sqrt (const Expr<T>&);
147  }
148 
149  namespace ELRFad {
150  template <typename T> class SafeSqrtOp;
151  template <typename T>
152  KOKKOS_INLINE_FUNCTION
153  Expr< SafeSqrtOp< Expr<T> > > safe_sqrt (const Expr<T>&);
154  }
155 
156  namespace CacheFad {
157  template <typename T> class SafeSqrtOp;
158  template <typename T>
159  KOKKOS_INLINE_FUNCTION
160  Expr< SafeSqrtOp< Expr<T> > > safe_sqrt (const Expr<T>&);
161  }
162 
163  namespace ELRCacheFad {
164  template <typename T> class SafeSqrtOp;
165  template <typename T>
166  KOKKOS_INLINE_FUNCTION
167  Expr< SafeSqrtOp< Expr<T> > > safe_sqrt (const Expr<T>&);
168  }
169 }
170 
171 #define BINARYFUNC_MACRO(OP,FADOP) \
172 namespace Sacado { \
173  \
174  namespace Fad { \
175  template <typename T> class ConstExpr; \
176  template <typename T> struct IsFadExpr; \
177  template <typename T> struct ExprLevel; \
178  template <typename T1, typename T2> \
179  KOKKOS_INLINE_FUNCTION \
180  typename mpl::enable_if_c< \
181  ExprLevel< Expr<T1> >::value == ExprLevel< Expr<T2> >::value, \
182  Expr< FADOP< Expr<T1>, Expr<T2> > > \
183  >::type \
184  /*SACADO_FAD_OP_ENABLE_EXPR_EXPR(FADOP)*/ \
185  OP (const Expr<T1>&, const Expr<T2>&); \
186  \
187  template <typename T> \
188  KOKKOS_INLINE_FUNCTION \
189  Expr< FADOP< Expr<T>, Expr<T> > > \
190  OP (const Expr<T>&, const Expr<T>&); \
191  \
192  template <typename T> \
193  KOKKOS_INLINE_FUNCTION \
194  Expr< FADOP< ConstExpr<typename Expr<T>::value_type>, Expr<T> > > \
195  OP (const typename Expr<T>::value_type&, const Expr<T>&); \
196  \
197  template <typename T> \
198  KOKKOS_INLINE_FUNCTION \
199  Expr< FADOP< Expr<T>, ConstExpr<typename Expr<T>::value_type> > > \
200  OP (const Expr<T>&, const typename Expr<T>::value_type&); \
201  \
202  template <typename T> \
203  KOKKOS_INLINE_FUNCTION \
204  SACADO_FAD_OP_ENABLE_SCALAR_EXPR(FADOP) \
205  OP (const typename Expr<T>::scalar_type&, const Expr<T>&); \
206  \
207  template <typename T> \
208  KOKKOS_INLINE_FUNCTION \
209  SACADO_FAD_OP_ENABLE_EXPR_SCALAR(FADOP) \
210  OP (const Expr<T>&, const typename Expr<T>::scalar_type&); \
211  \
212  template <typename T> class SimpleFad; \
213  template <typename T> \
214  SimpleFad<T> \
215  OP (const SimpleFad<T>&, const SimpleFad<T>&); \
216  \
217  template <typename T> \
218  SimpleFad<T> \
219  OP (const SimpleFad<T>&, \
220  const typename SimpleFad<T>::value_type&); \
221  \
222  template <typename T> \
223  SimpleFad<T> \
224  OP (const typename SimpleFad<T>::value_type&, \
225  const SimpleFad<T>&); \
226  } \
227  \
228  namespace ELRFad { \
229  template <typename T1, typename T2> class FADOP; \
230  template <typename T> class Expr; \
231  template <typename T> class ConstExpr; \
232  template <typename T> struct IsFadExpr; \
233  template <typename T> struct ExprLevel; \
234  template <typename T1, typename T2> \
235  KOKKOS_INLINE_FUNCTION \
236  SACADO_FAD_OP_ENABLE_EXPR_EXPR(FADOP) \
237  OP (const T1&, const T2&); \
238  \
239  template <typename T> \
240  KOKKOS_INLINE_FUNCTION \
241  Expr< FADOP< Expr<T>, Expr<T> > > \
242  OP (const Expr<T>&, const Expr<T>&); \
243  \
244  template <typename T> \
245  KOKKOS_INLINE_FUNCTION \
246  Expr< FADOP< ConstExpr<typename Expr<T>::value_type>, Expr<T> > > \
247  OP (const typename Expr<T>::value_type&, const Expr<T>&); \
248  \
249  template <typename T> \
250  KOKKOS_INLINE_FUNCTION \
251  Expr< FADOP< Expr<T>, ConstExpr<typename Expr<T>::value_type> > > \
252  OP (const Expr<T>&, const typename Expr<T>::value_type&); \
253  \
254  template <typename T> \
255  KOKKOS_INLINE_FUNCTION \
256  SACADO_FAD_OP_ENABLE_SCALAR_EXPR(FADOP) \
257  OP (const typename Expr<T>::scalar_type&, const Expr<T>&); \
258  \
259  template <typename T> \
260  KOKKOS_INLINE_FUNCTION \
261  SACADO_FAD_OP_ENABLE_EXPR_SCALAR(FADOP) \
262  OP (const Expr<T>&, const typename Expr<T>::scalar_type&); \
263  } \
264  \
265  namespace CacheFad { \
266  template <typename T1, typename T2> class FADOP; \
267  template <typename T> class Expr; \
268  template <typename T> class ConstExpr; \
269  template <typename T> struct IsFadExpr; \
270  template <typename T> struct ExprLevel; \
271  template <typename T1, typename T2> \
272  KOKKOS_INLINE_FUNCTION \
273  SACADO_FAD_OP_ENABLE_EXPR_EXPR(FADOP) \
274  OP (const T1&, const T2&); \
275  \
276  template <typename T> \
277  KOKKOS_INLINE_FUNCTION \
278  Expr< FADOP< Expr<T>, Expr<T> > > \
279  OP (const Expr<T>&, const Expr<T>&); \
280  \
281  template <typename T> \
282  KOKKOS_INLINE_FUNCTION \
283  Expr< FADOP< ConstExpr<typename Expr<T>::value_type>, Expr<T> > > \
284  OP (const typename Expr<T>::value_type&, const Expr<T>&); \
285  \
286  template <typename T> \
287  KOKKOS_INLINE_FUNCTION \
288  Expr< FADOP< Expr<T>, ConstExpr<typename Expr<T>::value_type> > > \
289  OP (const Expr<T>&, const typename Expr<T>::value_type&); \
290  \
291  template <typename T> \
292  KOKKOS_INLINE_FUNCTION \
293  SACADO_FAD_OP_ENABLE_SCALAR_EXPR(FADOP) \
294  OP (const typename Expr<T>::scalar_type&, const Expr<T>&); \
295  \
296  template <typename T> \
297  KOKKOS_INLINE_FUNCTION \
298  SACADO_FAD_OP_ENABLE_EXPR_SCALAR(FADOP) \
299  OP (const Expr<T>&, const typename Expr<T>::scalar_type&); \
300  } \
301  \
302  namespace ELRCacheFad { \
303  template <typename T1, typename T2> class FADOP; \
304  template <typename T> class Expr; \
305  template <typename T> class ConstExpr; \
306  template <typename T> struct IsFadExpr; \
307  template <typename T> struct ExprLevel; \
308  template <typename T1, typename T2> \
309  KOKKOS_INLINE_FUNCTION \
310  SACADO_FAD_OP_ENABLE_EXPR_EXPR(FADOP) \
311  OP (const T1&, const T2&); \
312  \
313  template <typename T> \
314  KOKKOS_INLINE_FUNCTION \
315  Expr< FADOP< Expr<T>, Expr<T> > > \
316  OP (const Expr<T>&, const Expr<T>&); \
317  \
318  template <typename T> \
319  KOKKOS_INLINE_FUNCTION \
320  Expr< FADOP< ConstExpr<typename Expr<T>::value_type>, Expr<T> > > \
321  OP (const typename Expr<T>::value_type&, const Expr<T>&); \
322  \
323  template <typename T> \
324  KOKKOS_INLINE_FUNCTION \
325  Expr< FADOP< Expr<T>, ConstExpr<typename Expr<T>::value_type> > > \
326  OP (const Expr<T>&, const typename Expr<T>::value_type&); \
327  \
328  template <typename T> \
329  KOKKOS_INLINE_FUNCTION \
330  SACADO_FAD_OP_ENABLE_SCALAR_EXPR(FADOP) \
331  OP (const typename Expr<T>::scalar_type&, const Expr<T>&); \
332  \
333  template <typename T> \
334  KOKKOS_INLINE_FUNCTION \
335  SACADO_FAD_OP_ENABLE_EXPR_SCALAR(FADOP) \
336  OP (const Expr<T>&, const typename Expr<T>::scalar_type&); \
337  } \
338  \
339  namespace LFad { \
340  template <typename T1, typename T2> class FADOP; \
341  template <typename T> class Expr; \
342  \
343  template <typename T1, typename T2> \
344  Expr< FADOP< Expr<T1>, Expr<T2> > > \
345  OP (const Expr<T1>&, const Expr<T2>&); \
346  \
347  template <typename T> \
348  Expr< FADOP< Expr<T>, Expr<T> > > \
349  OP (const Expr<T>&, const Expr<T>&); \
350  \
351  template <typename T> \
352  Expr< FADOP< typename Expr<T>::value_type, Expr<T> > > \
353  OP (const typename Expr<T>::value_type&, const Expr<T>&); \
354  \
355  template <typename T> \
356  Expr< FADOP< Expr<T>, typename Expr<T>::value_type > > \
357  OP (const Expr<T>&, const typename Expr<T>::value_type&); \
358  } \
359  \
360  namespace Tay { \
361  template <typename T> class Taylor; \
362  template <typename T> Taylor<T> OP ( \
363  const Base< Taylor<T> >&, \
364  const Base< Taylor<T> >&); \
365  template <typename T> Taylor<T> OP ( \
366  const typename Taylor<T>::value_type&, \
367  const Base< Taylor<T> >&); \
368  template <typename T> Taylor<T> OP ( \
369  const Base< Taylor<T> >&, \
370  const typename Taylor<T>::value_type&); \
371  } \
372  \
373  namespace FlopCounterPack { \
374  template <typename T> class ScalarFlopCounter; \
375  template <typename T> \
376  ScalarFlopCounter<T> OP ( \
377  const Base< ScalarFlopCounter<T> >&, \
378  const Base< ScalarFlopCounter<T> >&); \
379  template <typename T> \
380  ScalarFlopCounter<T> OP ( \
381  const typename ScalarFlopCounter<T>::value_type&, \
382  const Base< ScalarFlopCounter<T> >&); \
383  template <typename T> \
384  ScalarFlopCounter<T> OP ( \
385  const Base< ScalarFlopCounter<T> >&, \
386  const typename ScalarFlopCounter<T>::value_type&); \
387  template <typename T> \
388  ScalarFlopCounter<T> OP ( \
389  const int&, \
390  const Base< ScalarFlopCounter<T> >&); \
391  template <typename T> \
392  ScalarFlopCounter<T> OP ( \
393  const Base< ScalarFlopCounter<T> >&, \
394  const int&); \
395  } \
396  \
397  namespace Rad { \
398  template <typename T> class ADvari; \
399  template <typename T> class IndepADvar; \
400  template <typename T> class DoubleAvoid; \
401  template <typename T> ADvari<T>& OP (const Base< ADvari<T> >&, \
402  const Base< ADvari<T> >&); \
403  template <typename T> ADvari<T>& OP (const Base< IndepADvar<T> >&, \
404  const Base< ADvari<T> >&); \
405  template <typename T> ADvari<T>& OP (T, \
406  const Base< ADvari<T> >&); \
407  template <typename T> ADvari<T>& OP (typename DoubleAvoid<T>::dtype,\
408  const Base< ADvari<T> >&); \
409  template <typename T> ADvari<T>& OP (typename DoubleAvoid<T>::itype,\
410  const Base< ADvari<T> >&); \
411  template <typename T> ADvari<T>& OP (typename DoubleAvoid<T>::ltype,\
412  const Base< ADvari<T> >&); \
413  template <typename T> ADvari<T>& OP (const Base< ADvari<T> >&, \
414  const Base< IndepADvar<T> >&); \
415  template <typename T> ADvari<T>& OP (const Base< ADvari<T> >&, \
416  T); \
417  template <typename T> ADvari<T>& OP (const Base< ADvari<T> >&, \
418  typename DoubleAvoid<T>::dtype);\
419  template <typename T> ADvari<T>& OP (const Base< ADvari<T> >&, \
420  typename DoubleAvoid<T>::itype);\
421  template <typename T> ADvari<T>& OP (const Base< ADvari<T> >&, \
422  typename DoubleAvoid<T>::ltype);\
423  template <typename T> ADvari<T>& OP (const Base< IndepADvar<T> >&, \
424  const Base< IndepADvar<T> >&); \
425  template <typename T> ADvari<T>& OP (T, \
426  const Base< IndepADvar<T> >&); \
427  template <typename T> ADvari<T>& OP (typename DoubleAvoid<T>::dtype,\
428  const Base< IndepADvar<T> >&); \
429  template <typename T> ADvari<T>& OP (typename DoubleAvoid<T>::itype,\
430  const Base< IndepADvar<T> >&); \
431  template <typename T> ADvari<T>& OP (typename DoubleAvoid<T>::ltype,\
432  const Base< IndepADvar<T> >&); \
433  template <typename T> ADvari<T>& OP (const Base< IndepADvar<T> >&, \
434  T); \
435  template <typename T> ADvari<T>& OP (const Base< IndepADvar<T> >&, \
436  typename DoubleAvoid<T>::dtype);\
437  template <typename T> ADvari<T>& OP (const Base< IndepADvar<T> >&, \
438  typename DoubleAvoid<T>::itype);\
439  template <typename T> ADvari<T>& OP (const Base< IndepADvar<T> >&, \
440  typename DoubleAvoid<T>::ltype);\
441  } \
442  \
443 } \
444  \
445 namespace std { \
446  using Sacado::Fad::OP; \
447  using Sacado::ELRFad::OP; \
448  using Sacado::CacheFad::OP; \
449  using Sacado::ELRCacheFad::OP; \
450  using Sacado::LFad::OP; \
451  using Sacado::Tay::OP; \
452  using Sacado::FlopCounterPack::OP; \
453  using Sacado::Rad::OP; \
454 }
455 
456 BINARYFUNC_MACRO(atan2, Atan2Op)
457 BINARYFUNC_MACRO(pow, PowerOp)
458 BINARYFUNC_MACRO(max, MaxOp)
459 BINARYFUNC_MACRO(min, MinOp)
460 
461 #undef BINARYFUNC_MACRO
462 
463 #if defined(HAVE_SACADO_KOKKOSCORE)
464 
465 namespace Sacado {
466 #ifndef SACADO_NEW_FAD_DESIGN_IS_DEFAULT
467  namespace Fad {
468  template <typename ValT, unsigned sl, unsigned ss, typename U>
469  class ViewFadPtr;
470  template <typename T> class DFad;
471  template <typename T, int N> class SFad;
472  template <typename T, int N> class SLFad;
473  template <typename T>
474  KOKKOS_INLINE_FUNCTION
475  void atomic_add(DFad<T>* dst, const DFad<T>& x);
476  template <typename T, int N>
477  KOKKOS_INLINE_FUNCTION
478  void atomic_add(SFad<T,N>* dst, const SFad<T,N>& x);
479  template <typename T, int N>
480  KOKKOS_INLINE_FUNCTION
481  void atomic_add(SLFad<T,N>* dst, const SLFad<T,N>& x);
482  template <typename ValT, unsigned sl, unsigned ss, typename U, typename T>
483  KOKKOS_INLINE_FUNCTION
484  void atomic_add(ViewFadPtr<ValT,sl,ss,U> dst, const Expr<T>& x);
485  }
486 #endif
487  namespace ELRFad {
488  template <typename ValT, unsigned sl, unsigned ss, typename U>
489  class ViewFadPtr;
490  template <typename T> class DFad;
491  template <typename T, int N> class SFad;
492  template <typename T, int N> class SLFad;
493  template <typename T>
494  KOKKOS_INLINE_FUNCTION
495  void atomic_add(DFad<T>* dst, const DFad<T>& x);
496  template <typename T, int N>
497  KOKKOS_INLINE_FUNCTION
498  void atomic_add(SFad<T,N>* dst, const SFad<T,N>& x);
499  template <typename T, int N>
500  KOKKOS_INLINE_FUNCTION
501  void atomic_add(SLFad<T,N>* dst, const SLFad<T,N>& x);
502  template <typename ValT, unsigned sl, unsigned ss, typename U, typename T>
503  KOKKOS_INLINE_FUNCTION
504  void atomic_add(ViewFadPtr<ValT,sl,ss,U> dst, const Expr<T>& x);
505  }
506  namespace CacheFad {
507  template <typename ValT, unsigned sl, unsigned ss, typename U>
508  class ViewFadPtr;
509  template <typename T> class DFad;
510  template <typename T, int N> class SFad;
511  template <typename T, int N> class SLFad;
512  template <typename T>
513  KOKKOS_INLINE_FUNCTION
514  void atomic_add(DFad<T>* dst, const DFad<T>& x);
515  template <typename T, int N>
516  KOKKOS_INLINE_FUNCTION
517  void atomic_add(SFad<T,N>* dst, const SFad<T,N>& x);
518  template <typename T, int N>
519  KOKKOS_INLINE_FUNCTION
520  void atomic_add(SLFad<T,N>* dst, const SLFad<T,N>& x);
521  template <typename ValT, unsigned sl, unsigned ss, typename U, typename T>
522  KOKKOS_INLINE_FUNCTION
523  void atomic_add(ViewFadPtr<ValT,sl,ss,U> dst, const Expr<T>& x);
524  }
525  namespace ELRCacheFad {
526  template <typename ValT, unsigned sl, unsigned ss, typename U>
527  class ViewFadPtr;
528  template <typename T> class DFad;
529  template <typename T, int N> class SFad;
530  template <typename T, int N> class SLFad;
531  template <typename T>
532  KOKKOS_INLINE_FUNCTION
533  void atomic_add(DFad<T>* dst, const DFad<T>& x);
534  template <typename T, int N>
535  KOKKOS_INLINE_FUNCTION
536  void atomic_add(SFad<T,N>* dst, const SFad<T,N>& x);
537  template <typename T, int N>
538  KOKKOS_INLINE_FUNCTION
539  void atomic_add(SLFad<T,N>* dst, const SLFad<T,N>& x);
540  template <typename ValT, unsigned sl, unsigned ss, typename U, typename T>
541  KOKKOS_INLINE_FUNCTION
542  void atomic_add(ViewFadPtr<ValT,sl,ss,U> dst, const Expr<T>& x);
543  }
544 }
545 
546 namespace Kokkos {
547 #ifndef SACADO_NEW_FAD_DESIGN_IS_DEFAULT
548  using Sacado::Fad::atomic_add;
549 #endif
550  using Sacado::ELRFad::atomic_add;
551  using Sacado::CacheFad::atomic_add;
552  using Sacado::ELRCacheFad::atomic_add;
553 }
554 
555 #endif
556 
557 #ifdef SACADO_ENABLE_NEW_DESIGN
558 #include "Sacado_Fad_Exp_MathFunctions.hpp"
559 #endif
560 
561 #endif // SACADO_MATHFUNCTIONS_HPP
cbrt
cbrt(expr.val())
SinOp
expr expr SinOp
Definition: Sacado_Fad_Exp_Ops.hpp:188
MaxOp
expr2 expr1 expr2 expr2 c *expr2 c *expr1 c *expr2 c *expr1 MaxOp
Definition: Sacado_Fad_Exp_Ops.hpp:810
asinh
asinh(expr.val())
asin
asin(expr.val())
cosh
cosh(expr.val())
abs
abs(expr.val())
MinOp
expr2 expr1 expr2 expr2 c *expr2 c *expr1 c *expr2 c *expr1 MinOp
Definition: Sacado_Fad_Exp_Ops.hpp:824
atanh
atanh(expr.val())
CoshOp
expr expr CoshOp
Definition: Sacado_Fad_Exp_Ops.hpp:222
ATanhOp
expr expr ATanhOp
Definition: Sacado_Fad_Exp_Ops.hpp:255
Sacado_SFINAE_Macros.hpp
Sacado::Fad::Exp::SLFad
GeneralFad< StaticStorage< T, Num > > SLFad
Definition: Sacado_Fad_Exp_SLFad.hpp:42
TanhOp
expr expr TanhOp
Definition: Sacado_Fad_Exp_Ops.hpp:234
SqrtOp
expr expr SqrtOp
Definition: Sacado_Fad_Exp_Ops.hpp:176
ASinhOp
expr expr ASinhOp
Definition: Sacado_Fad_Exp_Ops.hpp:248
Sacado::ELRCacheFad::safe_sqrt
KOKKOS_INLINE_FUNCTION Expr< SafeSqrtOp< Expr< T > > > safe_sqrt(const Expr< T > &)
atan
atan(expr.val())
FAbsOp
FAbsOp
Definition: Sacado_Fad_Exp_Ops.hpp:268
Sacado::Fad::pow
KOKKOS_INLINE_FUNCTION mpl::enable_if_c< ExprLevel< Expr< T1 > >::value==ExprLevel< Expr< T2 > >::value, Expr< PowerOp< Expr< T1 >, Expr< T2 > > > >::type pow(const Expr< T1 > &expr1, const Expr< T2 > &expr2)
Definition: Sacado_Fad_Ops.hpp:1619
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: Sacado_Fad_Exp_Ops.hpp:778
Sacado_Fad_Exp_MathFunctions.hpp
KOKKOS_INLINE_FUNCTION
#define KOKKOS_INLINE_FUNCTION
Definition: Sacado_ConfigDefs.h:94
Sacado_Fad_ExpressionFwd.hpp
tanh
tanh(expr.val())
CosOp
expr expr CosOp
Definition: Sacado_Fad_Exp_Ops.hpp:182
CbrtOp
CbrtOp
Definition: Sacado_Fad_Exp_Ops.hpp:274
BINARYFUNC_MACRO
#define BINARYFUNC_MACRO(OP, FADOP)
Definition: Sacado_MathFunctions.hpp:171
ATanOp
expr expr ATanOp
Definition: Sacado_Fad_Exp_Ops.hpp:216
Sacado::Fad::Exp::DFad
GeneralFad< DynamicStorage< T > > DFad
Definition: Sacado_Fad_Exp_DFad.hpp:42
Sacado::Fad::min
SimpleFad< ValueT > min(const SimpleFad< ValueT > &a, const SimpleFad< ValueT > &b)
Definition: Sacado_Fad_SimpleFadOps.hpp:497
ACosOp
expr expr ACosOp
Definition: Sacado_Fad_Exp_Ops.hpp:202
Sacado_Base.hpp
Sacado::CacheFad::safe_sqrt
KOKKOS_INLINE_FUNCTION Expr< SafeSqrtOp< Expr< T > > > safe_sqrt(const Expr< T > &)
sqrt
sqrt(expr.val())
Sacado::ELRCacheFad::Expr
Wrapper for a generic expression template.
Definition: Sacado_ELRCacheFad_Expression.hpp:77
sinh
sinh(expr.val())
tan
tan(expr.val())
atan2
atan2(expr1.val(), expr2.val())
sin
sin(expr.val())
Sacado::ELRFad::Expr
Wrapper for a generic expression template.
Definition: Sacado_ELRFad_Expression.hpp:77
Sacado_Fad_Ops_Fwd.hpp
log
log(expr.val())
ACoshOp
expr expr ACoshOp
Definition: Sacado_Fad_Exp_Ops.hpp:240
Log10Op
expr expr Log10Op
Definition: Sacado_Fad_Exp_Ops.hpp:170
SinhOp
expr expr SinhOp
Definition: Sacado_Fad_Exp_Ops.hpp:228
Sacado::Fad::safe_sqrt
KOKKOS_INLINE_FUNCTION Expr< SafeSqrtOp< Expr< T > > > safe_sqrt(const Expr< T > &)
acosh
acosh(expr.val())
LogOp
LogOp
Definition: Sacado_Fad_Exp_Ops.hpp:164
acos
acos(expr.val())
Sacado::Fad::max
SimpleFad< ValueT > max(const SimpleFad< ValueT > &a, const SimpleFad< ValueT > &b)
Definition: Sacado_Fad_SimpleFadOps.hpp:433
ASinOp
expr expr ASinOp
Definition: Sacado_Fad_Exp_Ops.hpp:209
Sacado_ConfigDefs.h
exp
exp(expr.val())
Sacado::ELRFad::safe_sqrt
KOKKOS_INLINE_FUNCTION Expr< SafeSqrtOp< Expr< T > > > safe_sqrt(const Expr< T > &)
ExpOp
expr expr expr ExpOp
Definition: Sacado_Fad_Exp_Ops.hpp:158
fabs
fabs(expr.val())
AbsOp
expr expr AbsOp
Definition: Sacado_Fad_Exp_Ops.hpp:262
Sacado::CacheFad::Expr
Wrapper for a generic expression template.
Definition: Sacado_CacheFad_Expression.hpp:77
TanOp
expr expr TanOp
Definition: Sacado_Fad_Exp_Ops.hpp:194
Sacado::Fad::Exp::SFad
GeneralFad< StaticFixedStorage< T, Num > > SFad
Definition: Sacado_Fad_Exp_SFad.hpp:43
log10
log10(expr.val())
cos
cos(expr.val())
UNARYFUNC_MACRO
#define UNARYFUNC_MACRO(OP, FADOP)
Definition: Sacado_MathFunctions.hpp:44
PowerOp
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 PowerOp
Definition: Sacado_LFad_LogicalSparseOps.hpp:434
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