xref: /libCEED/include/ceed/ceed.h (revision bcb2dfae4c301ddfdddf58806f08f6e7d17f4ea5)
1 /// Copyright (c) 2017, Lawrence Livermore National Security, LLC. Produced at
2 /// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights
3 /// reserved. See files LICENSE and NOTICE for details.
4 ///
5 /// This file is part of CEED, a collection of benchmarks, miniapps, software
6 /// libraries and APIs for efficient high-order finite element and spectral
7 /// element discretizations for exascale applications. For more information and
8 /// source code availability see http://github.com/ceed.
9 ///
10 /// The CEED research is supported by the Exascale Computing Project 17-SC-20-SC,
11 /// a collaborative effort of two U.S. Department of Energy organizations (Office
12 /// of Science and the National Nuclear Security Administration) responsible for
13 /// the planning and preparation of a capable exascale ecosystem, including
14 /// software, applications, hardware, advanced system engineering and early
15 /// testbed platforms, in support of the nation's exascale computing imperative.
16 
17 /// @file
18 /// Public header for user and utility components of libCEED
19 #ifndef _ceed_h
20 #define _ceed_h
21 
22 /// @defgroup Ceed Ceed: core components
23 /// @defgroup CeedVector CeedVector: storing and manipulating vectors
24 /// @defgroup CeedElemRestriction CeedElemRestriction: restriction from local vectors to elements
25 /// @defgroup CeedBasis CeedBasis: fully discrete finite element-like objects
26 /// @defgroup CeedQFunction CeedQFunction: independent operations at quadrature points
27 /// @defgroup CeedOperator CeedOperator: composed FE-type operations on vectors
28 ///
29 /// @page FunctionCategories libCEED: Types of Functions
30 ///    libCEED provides three different header files depending upon the type of
31 ///    functions a user requires.
32 /// @section Utility Utility Functions
33 ///    These functions are intended general utilities that may be useful to
34 ///    libCEED developers and users. These functions can generally be found in
35 ///    "ceed.h".
36 /// @section User User Functions
37 ///    These functions are intended to be used by general users of libCEED
38 ///    and can generally be found in "ceed.h".
39 /// @section Backend Backend Developer Functions
40 ///    These functions are intended to be used by backend developers of
41 ///    libCEED and can generally be found in "ceed-backend.h".
42 /// @section Developer Library Developer Functions
43 ///    These functions are intended to be used by library developers of
44 ///    libCEED and can generally be found in "ceed-impl.h".
45 
46 /**
47   CEED_EXTERN is used in this header to denote all publicly visible symbols.
48 
49   No other file should declare publicly visible symbols, thus it should never be
50   used outside ceed.h.
51  */
52 #ifdef __cplusplus
53 #  define CEED_EXTERN extern "C"
54 #else
55 #  define CEED_EXTERN extern
56 #endif
57 
58 /**
59   @ingroup CeedQFunction
60   This macro populates the correct function annotations for User QFunction
61     source for code generation backends or populates default values for CPU
62     backends.
63 **/
64 #ifndef CEED_QFUNCTION
65 #define CEED_QFUNCTION(name) \
66   static const char name ## _loc[] = __FILE__ ":" #name;        \
67   static int name
68 #endif
69 
70 /**
71   @ingroup CeedQFunction
72   This macro populates the correct function annotations for User QFunction
73     helper function source for code generation backends or populates default
74     values for CPU backends.
75 **/
76 #ifndef CEED_QFUNCTION_HELPER
77 #define CEED_QFUNCTION_HELPER static inline
78 #endif
79 
80 /**
81   @ingroup CeedQFunction
82   Using VLA syntax to reshape User QFunction inputs and outputs can make
83     user code more readable. VLA is a C99 feature that is not supported by
84     the C++ dialect used by CUDA. This macro allows users to use the VLA
85     syntax with the CUDA backends.
86 **/
87 #ifndef CEED_Q_VLA
88 #  define CEED_Q_VLA Q
89 #endif
90 
91 /**
92   @ingroup Ceed
93   This macro provides the appropriate SIMD Pragma for the compilation
94     environment. Code generation backends may redefine this macro, as needed.
95 **/
96 #ifndef CeedPragmaSIMD
97 #  if defined(__INTEL_COMPILER)
98 #    define CeedPragmaSIMD _Pragma("vector")
99 // Cannot use Intel pragma ivdep because it miscompiles unpacking symmetric tensors, as in
100 // Poisson2DApply, where the SIMD loop body contains temporaries such as the following.
101 //
102 //     const CeedScalar dXdxdXdxT[2][2] = {{qd[i+0*Q], qd[i+2*Q]},
103 //                                         {qd[i+2*Q], qd[i+1*Q]}};
104 //     for (int j=0; j<2; j++)
105 //        vg[i+j*Q] = (du[0] * dXdxdXdxT[0][j] + du[1] * dXdxdXdxT[1][j]);
106 //
107 // Miscompilation with pragma ivdep observed with icc (ICC) 19.0.5.281 20190815
108 // at -O2 and above.
109 #  elif defined(__GNUC__) && __GNUC__ >= 5
110 #    define CeedPragmaSIMD _Pragma("GCC ivdep")
111 #  elif defined(_OPENMP) && _OPENMP >= 201307 // OpenMP-4.0 (July, 2013)
112 #    define CeedPragmaSIMD _Pragma("omp simd")
113 #  else
114 #    define CeedPragmaSIMD
115 #  endif
116 #endif
117 
118 #include <stdint.h>
119 #include <stdarg.h>
120 #include <stdio.h>
121 #include <stdbool.h>
122 
123 /// Integer type, used for indexing
124 /// @ingroup Ceed
125 typedef int32_t CeedInt;
126 /// Scalar (floating point) type
127 /// @ingroup Ceed
128 typedef double CeedScalar;
129 
130 /// Library context created by CeedInit()
131 /// @ingroup CeedUser
132 typedef struct Ceed_private *Ceed;
133 /// Non-blocking Ceed interfaces return a CeedRequest.
134 /// To perform an operation immediately, pass \ref CEED_REQUEST_IMMEDIATE instead.
135 /// @ingroup CeedUser
136 typedef struct CeedRequest_private *CeedRequest;
137 /// Handle for vectors over the field \ref CeedScalar
138 /// @ingroup CeedVectorUser
139 typedef struct CeedVector_private *CeedVector;
140 /// Handle for object describing restriction to elements
141 /// @ingroup CeedElemRestrictionUser
142 typedef struct CeedElemRestriction_private *CeedElemRestriction;
143 /// Handle for object describing discrete finite element evaluations
144 /// @ingroup CeedBasisUser
145 typedef struct CeedBasis_private *CeedBasis;
146 /// Handle for object describing functions evaluated independently at quadrature points
147 /// @ingroup CeedQFunctionUser
148 typedef struct CeedQFunction_private *CeedQFunction;
149 /// Handle for object describing context data for CeedQFunctions
150 /// @ingroup CeedQFunctionUser
151 typedef struct CeedQFunctionContext_private *CeedQFunctionContext;
152 /// Handle for object describing FE-type operators acting on vectors
153 ///
154 /// Given an element restriction \f$E\f$, basis evaluator \f$B\f$, and
155 ///   quadrature function\f$f\f$, a CeedOperator expresses operations of the form
156 ///   $$ E^T B^T f(B E u) $$
157 ///   acting on the vector \f$u\f$.
158 /// @ingroup CeedOperatorUser
159 typedef struct CeedOperator_private *CeedOperator;
160 
161 CEED_EXTERN int CeedRegistryGetList(size_t *n, char ***const resources, CeedInt **array);
162 CEED_EXTERN int CeedInit(const char *resource, Ceed *ceed);
163 CEED_EXTERN int CeedReferenceCopy(Ceed ceed, Ceed *ceed_copy);
164 CEED_EXTERN int CeedGetResource(Ceed ceed, const char **resource);
165 CEED_EXTERN int CeedIsDeterministic(Ceed ceed, bool *is_deterministic);
166 CEED_EXTERN int CeedView(Ceed ceed, FILE *stream);
167 CEED_EXTERN int CeedDestroy(Ceed *ceed);
168 
169 CEED_EXTERN int CeedErrorImpl(Ceed, const char *, int, const char *, int,
170                               const char *, ...);
171 /// Raise an error on ceed object
172 ///
173 /// @param ceed Ceed library context or NULL
174 /// @param ecode Error code (int)
175 /// @param ... printf-style format string followed by arguments as needed
176 ///
177 /// @ingroup Ceed
178 /// @sa CeedSetErrorHandler()
179 #if defined(__clang__)
180 /// Use nonstandard ternary to convince the compiler/clang-tidy that this
181 /// function never returns zero.
182 #  define CeedError(ceed, ecode, ...)                                     \
183   (CeedErrorImpl((ceed), __FILE__, __LINE__, __func__, (ecode), __VA_ARGS__), (ecode))
184 #else
185 #  define CeedError(ceed, ecode, ...)                                     \
186   CeedErrorImpl((ceed), __FILE__, __LINE__, __func__, (ecode), __VA_ARGS__) ?: (ecode)
187 #endif
188 
189 /// Ceed error handlers
190 CEED_EXTERN int CeedErrorReturn(Ceed, const char *, int, const char *, int,
191                                 const char *, va_list *);
192 CEED_EXTERN int CeedErrorStore(Ceed, const char *, int, const char *, int,
193                                const char *, va_list *);
194 CEED_EXTERN int CeedErrorAbort(Ceed, const char *, int, const char *, int,
195                                const char *, va_list *);
196 CEED_EXTERN int CeedErrorExit(Ceed, const char *, int, const char *, int,
197                               const char *, va_list *);
198 typedef int (*CeedErrorHandler)(Ceed, const char *, int,
199                                 const char *, int, const char *,
200                                 va_list *);
201 CEED_EXTERN int CeedSetErrorHandler(Ceed ceed, CeedErrorHandler eh);
202 CEED_EXTERN int CeedGetErrorMessage(Ceed, const char **err_msg);
203 CEED_EXTERN int CeedResetErrorMessage(Ceed, const char **err_msg);
204 
205 /// libCEED library version numbering
206 /// @ingroup Ceed
207 #define CEED_VERSION_MAJOR 0
208 #define CEED_VERSION_MINOR 9
209 #define CEED_VERSION_PATCH 0
210 #define CEED_VERSION_RELEASE false
211 
212 /// Compile-time check that the the current library version is at least as
213 /// recent as the specified version. This macro is typically used in
214 /// @code
215 /// #if CEED_VERSION_GE(0, 8, 0)
216 ///   code path that needs at least 0.8.0
217 /// #else
218 ///   fallback code for older versions
219 /// #endif
220 /// @endcode
221 ///
222 /// A non-release version always compares as positive infinity.
223 ///
224 /// @param major   Major version
225 /// @param minor   Minor version
226 /// @param patch   Patch (subminor) version
227 ///
228 /// @ingroup Ceed
229 /// @sa CeedGetVersion()
230 #define CEED_VERSION_GE(major, minor, patch)                                   \
231   (!CEED_VERSION_RELEASE ||                                                    \
232    (CEED_VERSION_MAJOR > major ||                                              \
233     (CEED_VERSION_MAJOR == major &&                                            \
234      (CEED_VERSION_MINOR > minor ||                                            \
235       (CEED_VERSION_MINOR == minor && CEED_VERSION_PATCH >= patch)))))
236 
237 CEED_EXTERN int CeedGetVersion(int *major, int *minor, int *patch,
238                                bool *release);
239 
240 /// Ceed Errors
241 ///
242 /// This enum is used to specify the type of error returned by a function.
243 /// A zero error code is success, negative error codes indicate terminal errors
244 /// and positive error codes indicate nonterminal errors. With nonterminal errors
245 /// the object state has not been modifiend, but with terminal errors the object
246 /// data is likely modified or corrupted.
247 /// @ingroup Ceed
248 typedef enum {
249   /// Success error code
250   CEED_ERROR_SUCCESS     = 0,
251   /// Minor error, generic
252   CEED_ERROR_MINOR       = 1,
253   /// Minor error, dimension mismatch in inputs
254   CEED_ERROR_DIMENSION   = 2,
255   /// Minor error, incomplete object setup
256   CEED_ERROR_INCOMPLETE  = 3,
257   /// Minor error, incompatible arguments/configuration
258   CEED_ERROR_INCOMPATIBLE = 4,
259   /// Minor error, access lock problem
260   CEED_ERROR_ACCESS      = 5,
261   /// Major error, generic
262   CEED_ERROR_MAJOR       = -1,
263   /// Major error, internal backend error
264   CEED_ERROR_BACKEND     = -2,
265   /// Major error, operation unsupported by current backend
266   CEED_ERROR_UNSUPPORTED = -3,
267 } CeedErrorType;
268 
269 CEED_EXTERN const char *const *CeedErrorTypes;
270 
271 /// Specify memory type
272 ///
273 /// Many Ceed interfaces take or return pointers to memory.  This enum is used to
274 /// specify where the memory being provided or requested must reside.
275 /// @ingroup Ceed
276 typedef enum {
277   /// Memory resides on the host
278   CEED_MEM_HOST,
279   /// Memory resides on a device (corresponding to \ref Ceed resource)
280   CEED_MEM_DEVICE,
281 } CeedMemType;
282 
283 CEED_EXTERN const char *const CeedMemTypes[];
284 
285 CEED_EXTERN int CeedGetPreferredMemType(Ceed ceed, CeedMemType *type);
286 
287 /// Conveys ownership status of arrays passed to Ceed interfaces.
288 /// @ingroup Ceed
289 typedef enum {
290   /// Implementation will copy the values and not store the passed pointer.
291   CEED_COPY_VALUES,
292   /// Implementation can use and modify the data provided by the user, but does
293   /// not take ownership.
294   CEED_USE_POINTER,
295   /// Implementation takes ownership of the pointer and will free using
296   /// CeedFree() when done using it.  The user should not assume that the
297   /// pointer remains valid after ownership has been transferred.  Note that
298   /// arrays allocated using C++ operator new or other allocators cannot
299   /// generally be freed using CeedFree().  CeedFree() is capable of freeing any
300   /// memory that can be freed using free(3).
301   CEED_OWN_POINTER,
302 } CeedCopyMode;
303 
304 /// Denotes type of vector norm to be computed
305 /// @ingroup CeedVector
306 typedef enum {
307   /// L_1 norm: sum_i |x_i|
308   CEED_NORM_1,
309   /// L_2 norm: sqrt(sum_i |x_i|^2)
310   CEED_NORM_2,
311   /// L_Infinity norm: max_i |x_i|
312   CEED_NORM_MAX,
313 } CeedNormType;
314 
315 CEED_EXTERN const char *const CeedCopyModes[];
316 
317 CEED_EXTERN int CeedVectorCreate(Ceed ceed, CeedInt len, CeedVector *vec);
318 CEED_EXTERN int CeedVectorReferenceCopy(CeedVector vec, CeedVector *vec_copy);
319 CEED_EXTERN int CeedVectorSetArray(CeedVector vec, CeedMemType mem_type,
320                                    CeedCopyMode copy_mode, CeedScalar *array);
321 CEED_EXTERN int CeedVectorSetValue(CeedVector vec, CeedScalar value);
322 CEED_EXTERN int CeedVectorSyncArray(CeedVector vec, CeedMemType mem_type);
323 CEED_EXTERN int CeedVectorTakeArray(CeedVector vec, CeedMemType mem_type,
324                                     CeedScalar **array);
325 CEED_EXTERN int CeedVectorGetArray(CeedVector vec, CeedMemType mem_type,
326                                    CeedScalar **array);
327 CEED_EXTERN int CeedVectorGetArrayRead(CeedVector vec, CeedMemType mem_type,
328                                        const CeedScalar **array);
329 CEED_EXTERN int CeedVectorRestoreArray(CeedVector vec, CeedScalar **array);
330 CEED_EXTERN int CeedVectorRestoreArrayRead(CeedVector vec,
331     const CeedScalar **array);
332 CEED_EXTERN int CeedVectorNorm(CeedVector vec, CeedNormType type,
333                                CeedScalar *norm);
334 CEED_EXTERN int CeedVectorScale(CeedVector x, CeedScalar alpha);
335 CEED_EXTERN int CeedVectorAXPY(CeedVector y, CeedScalar alpha, CeedVector x);
336 CEED_EXTERN int CeedVectorPointwiseMult(CeedVector w, CeedVector x, CeedVector y);
337 CEED_EXTERN int CeedVectorReciprocal(CeedVector vec);
338 CEED_EXTERN int CeedVectorView(CeedVector vec, const char *fp_fmt, FILE *stream);
339 CEED_EXTERN int CeedVectorGetLength(CeedVector vec, CeedInt *length);
340 CEED_EXTERN int CeedVectorDestroy(CeedVector *vec);
341 
342 CEED_EXTERN CeedRequest *const CEED_REQUEST_IMMEDIATE;
343 CEED_EXTERN CeedRequest *const CEED_REQUEST_ORDERED;
344 CEED_EXTERN int CeedRequestWait(CeedRequest *req);
345 
346 /// Argument for CeedOperatorSetField that vector is collocated with
347 /// quadrature points, used with QFunction eval mode CEED_EVAL_NONE
348 /// or CEED_EVAL_INTERP only, not with CEED_EVAL_GRAD, CEED_EVAL_DIV,
349 /// or CEED_EVAL_CURL
350 /// @ingroup CeedBasis
351 CEED_EXTERN const CeedBasis CEED_BASIS_COLLOCATED;
352 
353 /// Argument for CeedOperatorSetField to use active input or output
354 /// @ingroup CeedVector
355 CEED_EXTERN const CeedVector CEED_VECTOR_ACTIVE;
356 
357 /// Argument for CeedOperatorSetField to use no vector, used with
358 /// qfunction input with eval mode CEED_EVAL_WEIGHT
359 /// @ingroup CeedVector
360 CEED_EXTERN const CeedVector CEED_VECTOR_NONE;
361 
362 /// Argument for CeedOperatorSetField to use no ElemRestriction, only used with
363 /// eval mode CEED_EVAL_WEIGHT.
364 /// @ingroup CeedElemRestriction
365 CEED_EXTERN const CeedElemRestriction CEED_ELEMRESTRICTION_NONE;
366 
367 /// Argument for CeedOperatorCreate that QFunction is not created by user.
368 /// Only used for QFunctions dqf and dqfT. If implemented, a backend may
369 /// attempt to provide the action of these QFunctions.
370 /// @ingroup CeedQFunction
371 CEED_EXTERN const CeedQFunction CEED_QFUNCTION_NONE;
372 
373 /// Denotes whether a linear transformation or its transpose should be applied
374 /// @ingroup CeedBasis
375 typedef enum {
376   /// Apply the linear transformation
377   CEED_NOTRANSPOSE,
378   /// Apply the transpose
379   CEED_TRANSPOSE
380 } CeedTransposeMode;
381 
382 CEED_EXTERN const char *const CeedTransposeModes[];
383 
384 /// Argument for CeedElemRestrictionCreateStrided that L-vector is in
385 /// the Ceed backend's preferred layout. This argument should only be used
386 /// with vectors created by a Ceed backend.
387 /// @ingroup CeedElemRestriction
388 CEED_EXTERN const CeedInt CEED_STRIDES_BACKEND[3];
389 
390 CEED_EXTERN int CeedElemRestrictionCreate(Ceed ceed, CeedInt num_elem,
391     CeedInt elem_size, CeedInt num_comp, CeedInt comp_stride, CeedInt l_size,
392     CeedMemType mem_type, CeedCopyMode copy_mode, const CeedInt *offsets,
393     CeedElemRestriction *rstr);
394 CEED_EXTERN int CeedElemRestrictionCreateStrided(Ceed ceed,
395     CeedInt num_elem, CeedInt elem_size, CeedInt num_comp, CeedInt l_size,
396     const CeedInt strides[3], CeedElemRestriction *rstr);
397 CEED_EXTERN int CeedElemRestrictionCreateBlocked(Ceed ceed, CeedInt num_elem,
398     CeedInt elem_size, CeedInt blk_size, CeedInt num_comp, CeedInt comp_stride,
399     CeedInt l_size, CeedMemType mem_type, CeedCopyMode copy_mode,
400     const CeedInt *offsets, CeedElemRestriction *rstr);
401 CEED_EXTERN int CeedElemRestrictionCreateBlockedStrided(Ceed ceed,
402     CeedInt num_elem, CeedInt elem_size, CeedInt blk_size, CeedInt num_comp,
403     CeedInt l_size, const CeedInt strides[3], CeedElemRestriction *rstr);
404 CEED_EXTERN int CeedElemRestrictionReferenceCopy(CeedElemRestriction rstr,
405     CeedElemRestriction *rstr_copy);
406 CEED_EXTERN int CeedElemRestrictionCreateVector(CeedElemRestriction rstr,
407     CeedVector *lvec, CeedVector *evec);
408 CEED_EXTERN int CeedElemRestrictionApply(CeedElemRestriction rstr,
409     CeedTransposeMode t_mode, CeedVector u, CeedVector ru, CeedRequest *request);
410 CEED_EXTERN int CeedElemRestrictionApplyBlock(CeedElemRestriction rstr,
411     CeedInt block, CeedTransposeMode t_mode, CeedVector u, CeedVector ru,
412     CeedRequest *request);
413 CEED_EXTERN int CeedElemRestrictionGetCompStride(CeedElemRestriction rstr,
414     CeedInt *comp_stride);
415 CEED_EXTERN int CeedElemRestrictionGetNumElements(CeedElemRestriction rstr,
416     CeedInt *num_elem);
417 CEED_EXTERN int CeedElemRestrictionGetElementSize(CeedElemRestriction rstr,
418     CeedInt *elem_size);
419 CEED_EXTERN int CeedElemRestrictionGetLVectorSize(CeedElemRestriction rstr,
420     CeedInt *l_size);
421 CEED_EXTERN int CeedElemRestrictionGetNumComponents(CeedElemRestriction rstr,
422     CeedInt *num_comp);
423 CEED_EXTERN int CeedElemRestrictionGetNumBlocks(CeedElemRestriction rstr,
424     CeedInt *num_blk);
425 CEED_EXTERN int CeedElemRestrictionGetBlockSize(CeedElemRestriction rstr,
426     CeedInt *blk_size);
427 CEED_EXTERN int CeedElemRestrictionGetMultiplicity(CeedElemRestriction rstr,
428     CeedVector mult);
429 CEED_EXTERN int CeedElemRestrictionView(CeedElemRestriction rstr, FILE *stream);
430 CEED_EXTERN int CeedElemRestrictionDestroy(CeedElemRestriction *rstr);
431 
432 // The formalism here is that we have the structure
433 //  \int_\Omega v^T f_0(u, \nabla u, qdata) + (\nabla v)^T f_1(u, \nabla u, qdata)
434 // where gradients are with respect to the reference element.
435 
436 /// Basis evaluation mode
437 ///
438 /// Modes can be bitwise ORed when passing to most functions.
439 /// @ingroup CeedBasis
440 typedef enum {
441   /// Perform no evaluation (either because there is no data or it is already at
442   /// quadrature points)
443   CEED_EVAL_NONE   = 0,
444   /// Interpolate from nodes to quadrature points
445   CEED_EVAL_INTERP = 1,
446   /// Evaluate gradients at quadrature points from input in a nodal basis
447   CEED_EVAL_GRAD   = 2,
448   /// Evaluate divergence at quadrature points from input in a nodal basis
449   CEED_EVAL_DIV    = 4,
450   /// Evaluate curl at quadrature points from input in a nodal basis
451   CEED_EVAL_CURL   = 8,
452   /// Using no input, evaluate quadrature weights on the reference element
453   CEED_EVAL_WEIGHT = 16,
454 } CeedEvalMode;
455 
456 CEED_EXTERN const char *const CeedEvalModes[];
457 
458 /// Type of quadrature; also used for location of nodes
459 /// @ingroup CeedBasis
460 typedef enum {
461   /// Gauss-Legendre quadrature
462   CEED_GAUSS = 0,
463   /// Gauss-Legendre-Lobatto quadrature
464   CEED_GAUSS_LOBATTO = 1,
465 } CeedQuadMode;
466 
467 CEED_EXTERN const char *const CeedQuadModes[];
468 
469 /// Type of basis shape to create non-tensor H1 element basis
470 ///
471 /// Dimension can be extracted with bitwise AND
472 /// (CeedElemTopology & 2**(dim + 2)) == TRUE
473 /// @ingroup CeedBasis
474 typedef enum {
475   /// Line
476   CEED_LINE = 1 << 16 | 0,
477   /// Triangle - 2D shape
478   CEED_TRIANGLE = 2 << 16 | 1,
479   /// Quadralateral - 2D shape
480   CEED_QUAD = 2 << 16 | 2,
481   /// Tetrahedron - 3D shape
482   CEED_TET = 3 << 16 | 3,
483   /// Pyramid - 3D shape
484   CEED_PYRAMID = 3 << 16 | 4,
485   /// Prism - 3D shape
486   CEED_PRISM = 3 << 16 | 5,
487   /// Hexehedron - 3D shape
488   CEED_HEX = 3 << 16 | 6,
489 } CeedElemTopology;
490 
491 CEED_EXTERN const char *const CeedElemTopologies[];
492 
493 CEED_EXTERN int CeedBasisCreateTensorH1Lagrange(Ceed ceed, CeedInt dim,
494     CeedInt num_comp, CeedInt P, CeedInt Q, CeedQuadMode quad_mode, CeedBasis *basis);
495 CEED_EXTERN int CeedBasisCreateTensorH1(Ceed ceed, CeedInt dim, CeedInt num_comp,
496                                         CeedInt P_1d, CeedInt Q_1d,
497                                         const CeedScalar *interp_1d,
498                                         const CeedScalar *grad_1d,
499                                         const CeedScalar *q_ref_1d,
500                                         const CeedScalar *q_weight_1d,
501                                         CeedBasis *basis);
502 CEED_EXTERN int CeedBasisCreateH1(Ceed ceed, CeedElemTopology topo,
503                                   CeedInt num_comp,
504                                   CeedInt num_nodes, CeedInt nqpts,
505                                   const CeedScalar *interp,
506                                   const CeedScalar *grad,
507                                   const CeedScalar *q_ref,
508                                   const CeedScalar *q_weights, CeedBasis *basis);
509 CEED_EXTERN int CeedBasisReferenceCopy(CeedBasis basis, CeedBasis *basis_copy);
510 CEED_EXTERN int CeedBasisView(CeedBasis basis, FILE *stream);
511 CEED_EXTERN int CeedBasisApply(CeedBasis basis, CeedInt num_elem,
512                                CeedTransposeMode t_mode,
513                                CeedEvalMode eval_mode, CeedVector u, CeedVector v);
514 CEED_EXTERN int CeedBasisGetDimension(CeedBasis basis, CeedInt *dim);
515 CEED_EXTERN int CeedBasisGetTopology(CeedBasis basis, CeedElemTopology *topo);
516 CEED_EXTERN int CeedBasisGetNumComponents(CeedBasis basis, CeedInt *num_comp);
517 CEED_EXTERN int CeedBasisGetNumNodes(CeedBasis basis, CeedInt *P);
518 CEED_EXTERN int CeedBasisGetNumNodes1D(CeedBasis basis, CeedInt *P_1d);
519 CEED_EXTERN int CeedBasisGetNumQuadraturePoints(CeedBasis basis, CeedInt *Q);
520 CEED_EXTERN int CeedBasisGetNumQuadraturePoints1D(CeedBasis basis,
521     CeedInt *Q_1d);
522 CEED_EXTERN int CeedBasisGetQRef(CeedBasis basis, const CeedScalar **q_ref);
523 CEED_EXTERN int CeedBasisGetQWeights(CeedBasis basis,
524                                      const CeedScalar **q_weights);
525 CEED_EXTERN int CeedBasisGetInterp(CeedBasis basis, const CeedScalar **interp);
526 CEED_EXTERN int CeedBasisGetInterp1D(CeedBasis basis,
527                                      const CeedScalar **interp_1d);
528 CEED_EXTERN int CeedBasisGetGrad(CeedBasis basis, const CeedScalar **grad);
529 CEED_EXTERN int CeedBasisGetGrad1D(CeedBasis basis, const CeedScalar **grad_1d);
530 CEED_EXTERN int CeedBasisDestroy(CeedBasis *basis);
531 
532 CEED_EXTERN int CeedGaussQuadrature(CeedInt Q, CeedScalar *q_ref_1d,
533                                     CeedScalar *q_weight_1d);
534 CEED_EXTERN int CeedLobattoQuadrature(CeedInt Q, CeedScalar *q_ref_1d,
535                                       CeedScalar *q_weight_1d);
536 CEED_EXTERN int CeedQRFactorization(Ceed ceed, CeedScalar *mat, CeedScalar *tau,
537                                     CeedInt m, CeedInt n);
538 CEED_EXTERN int CeedSymmetricSchurDecomposition(Ceed ceed, CeedScalar *mat,
539     CeedScalar *lambda, CeedInt n);
540 CEED_EXTERN int CeedSimultaneousDiagonalization(Ceed ceed, CeedScalar *mat_A,
541     CeedScalar *mat_B, CeedScalar *x, CeedScalar *lambda, CeedInt n);
542 
543 /** Handle for the object describing the user CeedQFunction
544 
545  @param ctx user-defined context set using CeedQFunctionSetContext() or NULL
546 
547  @param Q   number of quadrature points at which to evaluate
548 
549  @param in  array of pointers to each input argument in the order provided
550               by the user in CeedQFunctionAddInput().  Each array has shape
551               `[dim, num_comp, Q]` where `dim` is the geometric dimension for
552               \ref CEED_EVAL_GRAD (`dim=1` for \ref CEED_EVAL_INTERP) and
553               `num_comp` is the number of field components (`num_comp=1` for
554               scalar fields).  This results in indexing the `i`th input at
555               quadrature point `j` as `in[i][(d*num_comp + c)*Q + j]`.
556 
557  @param out array of pointers to each output array in the order provided
558               using CeedQFunctionAddOutput().  The shapes are as above for
559               \a in.
560 
561  @return An error code: 0 - success, otherwise - failure
562 
563  @ingroup CeedQFunction
564 **/
565 typedef int (*CeedQFunctionUser)(void *ctx, const CeedInt Q,
566                                  const CeedScalar *const *in,
567                                  CeedScalar *const *out);
568 
569 CEED_EXTERN int CeedQFunctionCreateInterior(Ceed ceed, CeedInt vec_length,
570     CeedQFunctionUser f, const char *source, CeedQFunction *qf);
571 CEED_EXTERN int CeedQFunctionCreateInteriorByName(Ceed ceed, const char *name,
572     CeedQFunction *qf);
573 CEED_EXTERN int CeedQFunctionCreateIdentity(Ceed ceed, CeedInt size,
574     CeedEvalMode in_mode, CeedEvalMode out_mode, CeedQFunction *qf);
575 CEED_EXTERN int CeedQFunctionReferenceCopy(CeedQFunction qf, CeedQFunction *qf_copy);
576 CEED_EXTERN int CeedQFunctionAddInput(CeedQFunction qf, const char *field_name,
577                                       CeedInt size, CeedEvalMode eval_mode);
578 CEED_EXTERN int CeedQFunctionAddOutput(CeedQFunction qf, const char *field_name,
579                                        CeedInt size, CeedEvalMode eval_mode);
580 CEED_EXTERN int CeedQFunctionSetContext(CeedQFunction qf,
581                                         CeedQFunctionContext ctx);
582 CEED_EXTERN int CeedQFunctionView(CeedQFunction qf, FILE *stream);
583 CEED_EXTERN int CeedQFunctionApply(CeedQFunction qf, CeedInt Q,
584                                    CeedVector *u, CeedVector *v);
585 CEED_EXTERN int CeedQFunctionDestroy(CeedQFunction *qf);
586 
587 CEED_EXTERN int CeedQFunctionContextCreate(Ceed ceed,
588     CeedQFunctionContext *ctx);
589 CEED_EXTERN int CeedQFunctionContextReferenceCopy(CeedQFunctionContext ctx,
590     CeedQFunctionContext *ctx_copy);
591 CEED_EXTERN int CeedQFunctionContextSetData(CeedQFunctionContext ctx,
592     CeedMemType mem_type, CeedCopyMode copy_mode, size_t size, void *data);
593 CEED_EXTERN int CeedQFunctionContextTakeData(CeedQFunctionContext ctx,
594     CeedMemType mem_type, void *data);
595 CEED_EXTERN int CeedQFunctionContextGetData(CeedQFunctionContext ctx,
596     CeedMemType mem_type, void *data);
597 CEED_EXTERN int CeedQFunctionContextRestoreData(CeedQFunctionContext ctx,
598     void *data);
599 CEED_EXTERN int CeedQFunctionContextView(CeedQFunctionContext ctx,
600     FILE *stream);
601 CEED_EXTERN int CeedQFunctionContextDestroy(CeedQFunctionContext *ctx);
602 
603 CEED_EXTERN int CeedOperatorCreate(Ceed ceed, CeedQFunction qf,
604                                    CeedQFunction dqf, CeedQFunction dqfT,
605                                    CeedOperator *op);
606 CEED_EXTERN int CeedCompositeOperatorCreate(Ceed ceed, CeedOperator *op);
607 CEED_EXTERN int CeedOperatorReferenceCopy(CeedOperator op, CeedOperator *op_copy);
608 CEED_EXTERN int CeedOperatorSetField(CeedOperator op, const char *field_name,
609                                      CeedElemRestriction r, CeedBasis b,
610                                      CeedVector v);
611 CEED_EXTERN int CeedCompositeOperatorAddSub(CeedOperator composite_op,
612     CeedOperator sub_op);
613 CEED_EXTERN int CeedOperatorLinearAssembleQFunction(CeedOperator op,
614     CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request);
615 CEED_EXTERN int CeedOperatorLinearAssembleDiagonal(CeedOperator op,
616     CeedVector assembled, CeedRequest *request);
617 CEED_EXTERN int CeedOperatorLinearAssembleAddDiagonal(CeedOperator op,
618     CeedVector assembled, CeedRequest *request);
619 CEED_EXTERN int CeedOperatorLinearAssemblePointBlockDiagonal(CeedOperator op,
620     CeedVector assembled, CeedRequest *request);
621 CEED_EXTERN int CeedOperatorLinearAssembleAddPointBlockDiagonal(CeedOperator op,
622     CeedVector assembled, CeedRequest *request);
623 CEED_EXTERN int CeedOperatorLinearAssembleSymbolic(CeedOperator op,
624     CeedInt *num_entries, CeedInt **rows, CeedInt **cols);
625 CEED_EXTERN int CeedOperatorLinearAssemble(CeedOperator op, CeedVector values);
626 CEED_EXTERN int CeedOperatorMultigridLevelCreate(CeedOperator op_fine,
627     CeedVector p_mult_fine, CeedElemRestriction rstr_coarse, CeedBasis basis_coarse,
628     CeedOperator *op_coarse, CeedOperator *op_prolong, CeedOperator *op_restrict);
629 CEED_EXTERN int CeedOperatorMultigridLevelCreateTensorH1(
630   CeedOperator op_fine, CeedVector p_mult_fine, CeedElemRestriction rstr_coarse,
631   CeedBasis basis_coarse, const CeedScalar *interp_c_to_f, CeedOperator *op_coarse,
632   CeedOperator *op_prolong, CeedOperator *op_restrict);
633 CEED_EXTERN int CeedOperatorMultigridLevelCreateH1(CeedOperator op_fine,
634     CeedVector p_mult_fine, CeedElemRestriction rstr_coarse, CeedBasis basis_coarse,
635     const CeedScalar *interp_c_to_f, CeedOperator *op_coarse,
636     CeedOperator *op_prolong, CeedOperator *op_restrict);
637 CEED_EXTERN int CeedOperatorCreateFDMElementInverse(CeedOperator op,
638     CeedOperator *fdm_inv, CeedRequest *request);
639 CEED_EXTERN int CeedOperatorSetNumQuadraturePoints(CeedOperator op, CeedInt num_qpts);
640 CEED_EXTERN int CeedOperatorView(CeedOperator op, FILE *stream);
641 CEED_EXTERN int CeedOperatorApply(CeedOperator op, CeedVector in,
642                                   CeedVector out, CeedRequest *request);
643 CEED_EXTERN int CeedOperatorApplyAdd(CeedOperator op, CeedVector in,
644                                      CeedVector out, CeedRequest *request);
645 CEED_EXTERN int CeedOperatorDestroy(CeedOperator *op);
646 
647 /**
648   @brief Return integer power
649 
650   @param[in] base   The base to exponentiate
651   @param[in] power  The power to raise the base to
652 
653   @return base^power
654 
655   @ref Utility
656 **/
657 static inline CeedInt CeedIntPow(CeedInt base, CeedInt power) {
658   CeedInt result = 1;
659   while (power) {
660     if (power & 1) result *= base;
661     power >>= 1;
662     base *= base;
663   }
664   return result;
665 }
666 
667 /**
668   @brief Return minimum of two integers
669 
670   @param[in] a  The first integer to compare
671   @param[in] b  The second integer to compare
672 
673   @return The minimum of the two integers
674 
675   @ref Utility
676 **/
677 static inline CeedInt CeedIntMin(CeedInt a, CeedInt b) { return a < b ? a : b; }
678 
679 /**
680   @brief Return maximum of two integers
681 
682   @param[in] a  The first integer to compare
683   @param[in] b  The second integer to compare
684 
685   @return The maximum of the two integers
686 
687   @ref Utility
688 **/
689 static inline CeedInt CeedIntMax(CeedInt a, CeedInt b) { return a > b ? a : b; }
690 
691 // Used to ensure initialization before CeedInit()
692 CEED_EXTERN int CeedRegisterAll(void);
693 // Used to ensure initialization before CeedQFunctionCreate*()
694 CEED_EXTERN int CeedQFunctionRegisterAll(void);
695 
696 #endif
697