xref: /libCEED/include/ceed/ceed.h (revision c33c11c12ba2b94702ccebcda52b561359617f1d)
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 Advanced Advanced Functions
40 ///    These functions are intended to be used by advanced users of libCEED
41 ///    and can generally be found in "ceed.h".
42 /// @section Backend Backend Developer Functions
43 ///    These functions are intended to be used by backend developers of
44 ///    libCEED and can generally be found in "ceed-backend.h".
45 /// @section Developer Library Developer Functions
46 ///    These functions are intended to be used by library developers of
47 ///    libCEED and can generally be found in "ceed-impl.h".
48 
49 /**
50   CEED_EXTERN is used in this header to denote all publicly visible symbols.
51 
52   No other file should declare publicly visible symbols, thus it should never be
53   used outside ceed.h.
54  */
55 #ifdef __cplusplus
56 #  define CEED_EXTERN extern "C"
57 #else
58 #  define CEED_EXTERN extern
59 #endif
60 
61 /**
62   @ingroup CeedQFunction
63   This macro populates the correct function annotations for User QFunction
64     source for code generation backends or populates default values for CPU
65     backends.
66 **/
67 #ifndef CEED_QFUNCTION
68 #define CEED_QFUNCTION(name) \
69   static const char name ## _loc[] = __FILE__ ":" #name;        \
70   static int name
71 #endif
72 
73 /**
74   @ingroup CeedQFunction
75   This macro populates the correct function annotations for User QFunction
76     helper function source for code generation backends or populates default
77     values for CPU backends.
78 **/
79 #ifndef CEED_QFUNCTION_HELPER
80 #define CEED_QFUNCTION_HELPER static inline
81 #endif
82 
83 /**
84   @ingroup CeedQFunction
85   Using VLA syntax to reshape User QFunction inputs and outputs can make
86     user code more readable. VLA is a C99 feature that is not supported by
87     the C++ dialect used by CUDA. This macro allows users to use the VLA
88     syntax with the CUDA backends.
89 **/
90 #ifndef CEED_Q_VLA
91 #  define CEED_Q_VLA Q
92 #endif
93 
94 /**
95   @ingroup Ceed
96   This macro provides the appropriate SIMD Pragma for the compilation
97     environment. Code generation backends may redefine this macro, as needed.
98 **/
99 #ifndef CeedPragmaSIMD
100 #  if defined(__INTEL_COMPILER)
101 #    define CeedPragmaSIMD _Pragma("vector")
102 // Cannot use Intel pragma ivdep because it miscompiles unpacking symmetric tensors, as in
103 // Poisson2DApply, where the SIMD loop body contains temporaries such as the following.
104 //
105 //     const CeedScalar dXdxdXdxT[2][2] = {{qd[i+0*Q], qd[i+2*Q]},
106 //                                         {qd[i+2*Q], qd[i+1*Q]}};
107 //     for (int j=0; j<2; j++)
108 //        vg[i+j*Q] = (du[0] * dXdxdXdxT[0][j] + du[1] * dXdxdXdxT[1][j]);
109 //
110 // Miscompilation with pragma ivdep observed with icc (ICC) 19.0.5.281 20190815
111 // at -O2 and above.
112 #  elif defined(__GNUC__) && __GNUC__ >= 5
113 #    define CeedPragmaSIMD _Pragma("GCC ivdep")
114 #  elif defined(_OPENMP) && _OPENMP >= 201307 // OpenMP-4.0 (July, 2013)
115 #    define CeedPragmaSIMD _Pragma("omp simd")
116 #  else
117 #    define CeedPragmaSIMD
118 #  endif
119 #endif
120 
121 #include <stdint.h>
122 #include <stdarg.h>
123 #include <stdio.h>
124 #include <stdbool.h>
125 
126 /// Integer type, used for indexing
127 /// @ingroup Ceed
128 typedef int32_t CeedInt;
129 
130 /// Scalar (floating point) types
131 ///
132 /// @ingroup Ceed
133 typedef enum {
134   /// Single precision
135   CEED_SCALAR_FP32,
136   /// Double precision
137   CEED_SCALAR_FP64
138 } CeedScalarType;
139 /// Base scalar type for the library to use: change which header is
140 /// included to change the precision.
141 #include "ceed-f64.h"
142 
143 /// Library context created by CeedInit()
144 /// @ingroup CeedUser
145 typedef struct Ceed_private *Ceed;
146 /// Non-blocking Ceed interfaces return a CeedRequest.
147 /// To perform an operation immediately, pass \ref CEED_REQUEST_IMMEDIATE instead.
148 /// @ingroup CeedUser
149 typedef struct CeedRequest_private *CeedRequest;
150 /// Handle for vectors over the field \ref CeedScalar
151 /// @ingroup CeedVectorUser
152 typedef struct CeedVector_private *CeedVector;
153 /// Handle for object describing restriction to elements
154 /// @ingroup CeedElemRestrictionUser
155 typedef struct CeedElemRestriction_private *CeedElemRestriction;
156 /// Handle for object describing discrete finite element evaluations
157 /// @ingroup CeedBasisUser
158 typedef struct CeedBasis_private *CeedBasis;
159 /// Handle for object describing CeedQFunction fields
160 /// @ingroup CeedQFunctionBackend
161 typedef struct CeedQFunctionField_private *CeedQFunctionField;
162 /// Handle for object describing functions evaluated independently at quadrature points
163 /// @ingroup CeedQFunctionUser
164 typedef struct CeedQFunction_private *CeedQFunction;
165 /// Handle for object describing CeedOperator fields
166 /// @ingroup CeedOperatorBackend
167 typedef struct CeedOperatorField_private *CeedOperatorField;
168 /// Handle for object describing context data for CeedQFunctions
169 /// @ingroup CeedQFunctionUser
170 typedef struct CeedQFunctionContext_private *CeedQFunctionContext;
171 /// Handle for object describing FE-type operators acting on vectors
172 ///
173 /// Given an element restriction \f$E\f$, basis evaluator \f$B\f$, and
174 ///   quadrature function\f$f\f$, a CeedOperator expresses operations of the form
175 ///   $$ E^T B^T f(B E u) $$
176 ///   acting on the vector \f$u\f$.
177 /// @ingroup CeedOperatorUser
178 typedef struct CeedOperator_private *CeedOperator;
179 
180 CEED_EXTERN int CeedRegistryGetList(size_t *n, char ***const resources, CeedInt **array);
181 CEED_EXTERN int CeedInit(const char *resource, Ceed *ceed);
182 CEED_EXTERN int CeedReferenceCopy(Ceed ceed, Ceed *ceed_copy);
183 CEED_EXTERN int CeedGetResource(Ceed ceed, const char **resource);
184 CEED_EXTERN int CeedIsDeterministic(Ceed ceed, bool *is_deterministic);
185 CEED_EXTERN int CeedView(Ceed ceed, FILE *stream);
186 CEED_EXTERN int CeedDestroy(Ceed *ceed);
187 
188 CEED_EXTERN int CeedErrorImpl(Ceed, const char *, int, const char *, int,
189                               const char *, ...);
190 /// Raise an error on ceed object
191 ///
192 /// @param ceed Ceed library context or NULL
193 /// @param ecode Error code (int)
194 /// @param ... printf-style format string followed by arguments as needed
195 ///
196 /// @ingroup Ceed
197 /// @sa CeedSetErrorHandler()
198 #if defined(__clang__)
199 /// Use nonstandard ternary to convince the compiler/clang-tidy that this
200 /// function never returns zero.
201 #  define CeedError(ceed, ecode, ...)                                     \
202   (CeedErrorImpl((ceed), __FILE__, __LINE__, __func__, (ecode), __VA_ARGS__), (ecode))
203 #else
204 #  define CeedError(ceed, ecode, ...)                                     \
205   CeedErrorImpl((ceed), __FILE__, __LINE__, __func__, (ecode), __VA_ARGS__) ?: (ecode)
206 #endif
207 
208 /// Ceed error handlers
209 CEED_EXTERN int CeedErrorReturn(Ceed, const char *, int, const char *, int,
210                                 const char *, va_list *);
211 CEED_EXTERN int CeedErrorStore(Ceed, const char *, int, const char *, int,
212                                const char *, va_list *);
213 CEED_EXTERN int CeedErrorAbort(Ceed, const char *, int, const char *, int,
214                                const char *, va_list *);
215 CEED_EXTERN int CeedErrorExit(Ceed, const char *, int, const char *, int,
216                               const char *, va_list *);
217 typedef int (*CeedErrorHandler)(Ceed, const char *, int,
218                                 const char *, int, const char *,
219                                 va_list *);
220 CEED_EXTERN int CeedSetErrorHandler(Ceed ceed, CeedErrorHandler eh);
221 CEED_EXTERN int CeedGetErrorMessage(Ceed, const char **err_msg);
222 CEED_EXTERN int CeedResetErrorMessage(Ceed, const char **err_msg);
223 
224 /// libCEED library version numbering
225 /// @ingroup Ceed
226 #define CEED_VERSION_MAJOR 0
227 #define CEED_VERSION_MINOR 9
228 #define CEED_VERSION_PATCH 0
229 #define CEED_VERSION_RELEASE false
230 
231 /// Compile-time check that the the current library version is at least as
232 /// recent as the specified version. This macro is typically used in
233 /// @code
234 /// #if CEED_VERSION_GE(0, 8, 0)
235 ///   code path that needs at least 0.8.0
236 /// #else
237 ///   fallback code for older versions
238 /// #endif
239 /// @endcode
240 ///
241 /// A non-release version always compares as positive infinity.
242 ///
243 /// @param major   Major version
244 /// @param minor   Minor version
245 /// @param patch   Patch (subminor) version
246 ///
247 /// @ingroup Ceed
248 /// @sa CeedGetVersion()
249 #define CEED_VERSION_GE(major, minor, patch)                                   \
250   (!CEED_VERSION_RELEASE ||                                                    \
251    (CEED_VERSION_MAJOR > major ||                                              \
252     (CEED_VERSION_MAJOR == major &&                                            \
253      (CEED_VERSION_MINOR > minor ||                                            \
254       (CEED_VERSION_MINOR == minor && CEED_VERSION_PATCH >= patch)))))
255 
256 CEED_EXTERN int CeedGetVersion(int *major, int *minor, int *patch,
257                                bool *release);
258 
259 CEED_EXTERN int CeedGetScalarType(CeedScalarType *scalar_type);
260 
261 /// Ceed Errors
262 ///
263 /// This enum is used to specify the type of error returned by a function.
264 /// A zero error code is success, negative error codes indicate terminal errors
265 /// and positive error codes indicate nonterminal errors. With nonterminal errors
266 /// the object state has not been modifiend, but with terminal errors the object
267 /// data is likely modified or corrupted.
268 /// @ingroup Ceed
269 typedef enum {
270   /// Success error code
271   CEED_ERROR_SUCCESS     = 0,
272   /// Minor error, generic
273   CEED_ERROR_MINOR       = 1,
274   /// Minor error, dimension mismatch in inputs
275   CEED_ERROR_DIMENSION   = 2,
276   /// Minor error, incomplete object setup
277   CEED_ERROR_INCOMPLETE  = 3,
278   /// Minor error, incompatible arguments/configuration
279   CEED_ERROR_INCOMPATIBLE = 4,
280   /// Minor error, access lock problem
281   CEED_ERROR_ACCESS      = 5,
282   /// Major error, generic
283   CEED_ERROR_MAJOR       = -1,
284   /// Major error, internal backend error
285   CEED_ERROR_BACKEND     = -2,
286   /// Major error, operation unsupported by current backend
287   CEED_ERROR_UNSUPPORTED = -3,
288 } CeedErrorType;
289 
290 CEED_EXTERN const char *const *CeedErrorTypes;
291 
292 /// Specify memory type
293 ///
294 /// Many Ceed interfaces take or return pointers to memory.  This enum is used to
295 /// specify where the memory being provided or requested must reside.
296 /// @ingroup Ceed
297 typedef enum {
298   /// Memory resides on the host
299   CEED_MEM_HOST,
300   /// Memory resides on a device (corresponding to \ref Ceed resource)
301   CEED_MEM_DEVICE,
302 } CeedMemType;
303 
304 CEED_EXTERN const char *const CeedMemTypes[];
305 
306 CEED_EXTERN int CeedGetPreferredMemType(Ceed ceed, CeedMemType *type);
307 
308 /// Conveys ownership status of arrays passed to Ceed interfaces.
309 /// @ingroup Ceed
310 typedef enum {
311   /// Implementation will copy the values and not store the passed pointer.
312   CEED_COPY_VALUES,
313   /// Implementation can use and modify the data provided by the user, but does
314   /// not take ownership.
315   CEED_USE_POINTER,
316   /// Implementation takes ownership of the pointer and will free using
317   /// CeedFree() when done using it.  The user should not assume that the
318   /// pointer remains valid after ownership has been transferred.  Note that
319   /// arrays allocated using C++ operator new or other allocators cannot
320   /// generally be freed using CeedFree().  CeedFree() is capable of freeing any
321   /// memory that can be freed using free(3).
322   CEED_OWN_POINTER,
323 } CeedCopyMode;
324 
325 /// Denotes type of vector norm to be computed
326 /// @ingroup CeedVector
327 typedef enum {
328   /// L_1 norm: sum_i |x_i|
329   CEED_NORM_1,
330   /// L_2 norm: sqrt(sum_i |x_i|^2)
331   CEED_NORM_2,
332   /// L_Infinity norm: max_i |x_i|
333   CEED_NORM_MAX,
334 } CeedNormType;
335 
336 CEED_EXTERN const char *const CeedCopyModes[];
337 
338 CEED_EXTERN int CeedVectorCreate(Ceed ceed, CeedInt len, CeedVector *vec);
339 CEED_EXTERN int CeedVectorReferenceCopy(CeedVector vec, CeedVector *vec_copy);
340 CEED_EXTERN int CeedVectorSetArray(CeedVector vec, CeedMemType mem_type,
341                                    CeedCopyMode copy_mode, CeedScalar *array);
342 CEED_EXTERN int CeedVectorSetValue(CeedVector vec, CeedScalar value);
343 CEED_EXTERN int CeedVectorSyncArray(CeedVector vec, CeedMemType mem_type);
344 CEED_EXTERN int CeedVectorTakeArray(CeedVector vec, CeedMemType mem_type,
345                                     CeedScalar **array);
346 CEED_EXTERN int CeedVectorGetArray(CeedVector vec, CeedMemType mem_type,
347                                    CeedScalar **array);
348 CEED_EXTERN int CeedVectorGetArrayRead(CeedVector vec, CeedMemType mem_type,
349                                        const CeedScalar **array);
350 CEED_EXTERN int CeedVectorRestoreArray(CeedVector vec, CeedScalar **array);
351 CEED_EXTERN int CeedVectorRestoreArrayRead(CeedVector vec,
352     const CeedScalar **array);
353 CEED_EXTERN int CeedVectorNorm(CeedVector vec, CeedNormType type,
354                                CeedScalar *norm);
355 CEED_EXTERN int CeedVectorScale(CeedVector x, CeedScalar alpha);
356 CEED_EXTERN int CeedVectorAXPY(CeedVector y, CeedScalar alpha, CeedVector x);
357 CEED_EXTERN int CeedVectorPointwiseMult(CeedVector w, CeedVector x, CeedVector y);
358 CEED_EXTERN int CeedVectorReciprocal(CeedVector vec);
359 CEED_EXTERN int CeedVectorView(CeedVector vec, const char *fp_fmt, FILE *stream);
360 CEED_EXTERN int CeedVectorGetLength(CeedVector vec, CeedInt *length);
361 CEED_EXTERN int CeedVectorDestroy(CeedVector *vec);
362 
363 CEED_EXTERN CeedRequest *const CEED_REQUEST_IMMEDIATE;
364 CEED_EXTERN CeedRequest *const CEED_REQUEST_ORDERED;
365 CEED_EXTERN int CeedRequestWait(CeedRequest *req);
366 
367 /// Argument for CeedOperatorSetField that vector is collocated with
368 /// quadrature points, used with QFunction eval mode CEED_EVAL_NONE
369 /// or CEED_EVAL_INTERP only, not with CEED_EVAL_GRAD, CEED_EVAL_DIV,
370 /// or CEED_EVAL_CURL
371 /// @ingroup CeedBasis
372 CEED_EXTERN const CeedBasis CEED_BASIS_COLLOCATED;
373 
374 /// Argument for CeedOperatorSetField to use active input or output
375 /// @ingroup CeedVector
376 CEED_EXTERN const CeedVector CEED_VECTOR_ACTIVE;
377 
378 /// Argument for CeedOperatorSetField to use no vector, used with
379 /// qfunction input with eval mode CEED_EVAL_WEIGHT
380 /// @ingroup CeedVector
381 CEED_EXTERN const CeedVector CEED_VECTOR_NONE;
382 
383 /// Argument for CeedOperatorSetField to use no ElemRestriction, only used with
384 /// eval mode CEED_EVAL_WEIGHT.
385 /// @ingroup CeedElemRestriction
386 CEED_EXTERN const CeedElemRestriction CEED_ELEMRESTRICTION_NONE;
387 
388 /// Argument for CeedOperatorCreate that QFunction is not created by user.
389 /// Only used for QFunctions dqf and dqfT. If implemented, a backend may
390 /// attempt to provide the action of these QFunctions.
391 /// @ingroup CeedQFunction
392 CEED_EXTERN const CeedQFunction CEED_QFUNCTION_NONE;
393 
394 /// Denotes whether a linear transformation or its transpose should be applied
395 /// @ingroup CeedBasis
396 typedef enum {
397   /// Apply the linear transformation
398   CEED_NOTRANSPOSE,
399   /// Apply the transpose
400   CEED_TRANSPOSE
401 } CeedTransposeMode;
402 
403 CEED_EXTERN const char *const CeedTransposeModes[];
404 
405 /// Argument for CeedElemRestrictionCreateStrided that L-vector is in
406 /// the Ceed backend's preferred layout. This argument should only be used
407 /// with vectors created by a Ceed backend.
408 /// @ingroup CeedElemRestriction
409 CEED_EXTERN const CeedInt CEED_STRIDES_BACKEND[3];
410 
411 CEED_EXTERN int CeedElemRestrictionCreate(Ceed ceed, CeedInt num_elem,
412     CeedInt elem_size, CeedInt num_comp, CeedInt comp_stride, CeedInt l_size,
413     CeedMemType mem_type, CeedCopyMode copy_mode, const CeedInt *offsets,
414     CeedElemRestriction *rstr);
415 CEED_EXTERN int CeedElemRestrictionCreateStrided(Ceed ceed,
416     CeedInt num_elem, CeedInt elem_size, CeedInt num_comp, CeedInt l_size,
417     const CeedInt strides[3], CeedElemRestriction *rstr);
418 CEED_EXTERN int CeedElemRestrictionCreateBlocked(Ceed ceed, CeedInt num_elem,
419     CeedInt elem_size, CeedInt blk_size, CeedInt num_comp, CeedInt comp_stride,
420     CeedInt l_size, CeedMemType mem_type, CeedCopyMode copy_mode,
421     const CeedInt *offsets, CeedElemRestriction *rstr);
422 CEED_EXTERN int CeedElemRestrictionCreateBlockedStrided(Ceed ceed,
423     CeedInt num_elem, CeedInt elem_size, CeedInt blk_size, CeedInt num_comp,
424     CeedInt l_size, const CeedInt strides[3], CeedElemRestriction *rstr);
425 CEED_EXTERN int CeedElemRestrictionReferenceCopy(CeedElemRestriction rstr,
426     CeedElemRestriction *rstr_copy);
427 CEED_EXTERN int CeedElemRestrictionCreateVector(CeedElemRestriction rstr,
428     CeedVector *lvec, CeedVector *evec);
429 CEED_EXTERN int CeedElemRestrictionApply(CeedElemRestriction rstr,
430     CeedTransposeMode t_mode, CeedVector u, CeedVector ru, CeedRequest *request);
431 CEED_EXTERN int CeedElemRestrictionApplyBlock(CeedElemRestriction rstr,
432     CeedInt block, CeedTransposeMode t_mode, CeedVector u, CeedVector ru,
433     CeedRequest *request);
434 CEED_EXTERN int CeedElemRestrictionGetCompStride(CeedElemRestriction rstr,
435     CeedInt *comp_stride);
436 CEED_EXTERN int CeedElemRestrictionGetNumElements(CeedElemRestriction rstr,
437     CeedInt *num_elem);
438 CEED_EXTERN int CeedElemRestrictionGetElementSize(CeedElemRestriction rstr,
439     CeedInt *elem_size);
440 CEED_EXTERN int CeedElemRestrictionGetLVectorSize(CeedElemRestriction rstr,
441     CeedInt *l_size);
442 CEED_EXTERN int CeedElemRestrictionGetNumComponents(CeedElemRestriction rstr,
443     CeedInt *num_comp);
444 CEED_EXTERN int CeedElemRestrictionGetNumBlocks(CeedElemRestriction rstr,
445     CeedInt *num_blk);
446 CEED_EXTERN int CeedElemRestrictionGetBlockSize(CeedElemRestriction rstr,
447     CeedInt *blk_size);
448 CEED_EXTERN int CeedElemRestrictionGetMultiplicity(CeedElemRestriction rstr,
449     CeedVector mult);
450 CEED_EXTERN int CeedElemRestrictionView(CeedElemRestriction rstr, FILE *stream);
451 CEED_EXTERN int CeedElemRestrictionDestroy(CeedElemRestriction *rstr);
452 
453 // The formalism here is that we have the structure
454 //  \int_\Omega v^T f_0(u, \nabla u, qdata) + (\nabla v)^T f_1(u, \nabla u, qdata)
455 // where gradients are with respect to the reference element.
456 
457 /// Basis evaluation mode
458 ///
459 /// Modes can be bitwise ORed when passing to most functions.
460 /// @ingroup CeedBasis
461 typedef enum {
462   /// Perform no evaluation (either because there is no data or it is already at
463   /// quadrature points)
464   CEED_EVAL_NONE   = 0,
465   /// Interpolate from nodes to quadrature points
466   CEED_EVAL_INTERP = 1,
467   /// Evaluate gradients at quadrature points from input in a nodal basis
468   CEED_EVAL_GRAD   = 2,
469   /// Evaluate divergence at quadrature points from input in a nodal basis
470   CEED_EVAL_DIV    = 4,
471   /// Evaluate curl at quadrature points from input in a nodal basis
472   CEED_EVAL_CURL   = 8,
473   /// Using no input, evaluate quadrature weights on the reference element
474   CEED_EVAL_WEIGHT = 16,
475 } CeedEvalMode;
476 
477 CEED_EXTERN const char *const CeedEvalModes[];
478 
479 /// Type of quadrature; also used for location of nodes
480 /// @ingroup CeedBasis
481 typedef enum {
482   /// Gauss-Legendre quadrature
483   CEED_GAUSS = 0,
484   /// Gauss-Legendre-Lobatto quadrature
485   CEED_GAUSS_LOBATTO = 1,
486 } CeedQuadMode;
487 
488 CEED_EXTERN const char *const CeedQuadModes[];
489 
490 /// Type of basis shape to create non-tensor H1 element basis
491 ///
492 /// Dimension can be extracted with bitwise AND
493 /// (CeedElemTopology & 2**(dim + 2)) == TRUE
494 /// @ingroup CeedBasis
495 typedef enum {
496   /// Line
497   CEED_LINE = 1 << 16 | 0,
498   /// Triangle - 2D shape
499   CEED_TRIANGLE = 2 << 16 | 1,
500   /// Quadralateral - 2D shape
501   CEED_QUAD = 2 << 16 | 2,
502   /// Tetrahedron - 3D shape
503   CEED_TET = 3 << 16 | 3,
504   /// Pyramid - 3D shape
505   CEED_PYRAMID = 3 << 16 | 4,
506   /// Prism - 3D shape
507   CEED_PRISM = 3 << 16 | 5,
508   /// Hexehedron - 3D shape
509   CEED_HEX = 3 << 16 | 6,
510 } CeedElemTopology;
511 
512 CEED_EXTERN const char *const CeedElemTopologies[];
513 
514 CEED_EXTERN int CeedBasisCreateTensorH1Lagrange(Ceed ceed, CeedInt dim,
515     CeedInt num_comp, CeedInt P, CeedInt Q, CeedQuadMode quad_mode, CeedBasis *basis);
516 CEED_EXTERN int CeedBasisCreateTensorH1(Ceed ceed, CeedInt dim, CeedInt num_comp,
517                                         CeedInt P_1d, CeedInt Q_1d,
518                                         const CeedScalar *interp_1d,
519                                         const CeedScalar *grad_1d,
520                                         const CeedScalar *q_ref_1d,
521                                         const CeedScalar *q_weight_1d,
522                                         CeedBasis *basis);
523 CEED_EXTERN int CeedBasisCreateH1(Ceed ceed, CeedElemTopology topo,
524                                   CeedInt num_comp,
525                                   CeedInt num_nodes, CeedInt nqpts,
526                                   const CeedScalar *interp,
527                                   const CeedScalar *grad,
528                                   const CeedScalar *q_ref,
529                                   const CeedScalar *q_weights, CeedBasis *basis);
530 CEED_EXTERN int CeedBasisReferenceCopy(CeedBasis basis, CeedBasis *basis_copy);
531 CEED_EXTERN int CeedBasisView(CeedBasis basis, FILE *stream);
532 CEED_EXTERN int CeedBasisApply(CeedBasis basis, CeedInt num_elem,
533                                CeedTransposeMode t_mode,
534                                CeedEvalMode eval_mode, CeedVector u, CeedVector v);
535 CEED_EXTERN int CeedBasisGetDimension(CeedBasis basis, CeedInt *dim);
536 CEED_EXTERN int CeedBasisGetTopology(CeedBasis basis, CeedElemTopology *topo);
537 CEED_EXTERN int CeedBasisGetNumComponents(CeedBasis basis, CeedInt *num_comp);
538 CEED_EXTERN int CeedBasisGetNumNodes(CeedBasis basis, CeedInt *P);
539 CEED_EXTERN int CeedBasisGetNumNodes1D(CeedBasis basis, CeedInt *P_1d);
540 CEED_EXTERN int CeedBasisGetNumQuadraturePoints(CeedBasis basis, CeedInt *Q);
541 CEED_EXTERN int CeedBasisGetNumQuadraturePoints1D(CeedBasis basis,
542     CeedInt *Q_1d);
543 CEED_EXTERN int CeedBasisGetQRef(CeedBasis basis, const CeedScalar **q_ref);
544 CEED_EXTERN int CeedBasisGetQWeights(CeedBasis basis,
545                                      const CeedScalar **q_weights);
546 CEED_EXTERN int CeedBasisGetInterp(CeedBasis basis, const CeedScalar **interp);
547 CEED_EXTERN int CeedBasisGetInterp1D(CeedBasis basis,
548                                      const CeedScalar **interp_1d);
549 CEED_EXTERN int CeedBasisGetGrad(CeedBasis basis, const CeedScalar **grad);
550 CEED_EXTERN int CeedBasisGetGrad1D(CeedBasis basis, const CeedScalar **grad_1d);
551 CEED_EXTERN int CeedBasisDestroy(CeedBasis *basis);
552 
553 CEED_EXTERN int CeedGaussQuadrature(CeedInt Q, CeedScalar *q_ref_1d,
554                                     CeedScalar *q_weight_1d);
555 CEED_EXTERN int CeedLobattoQuadrature(CeedInt Q, CeedScalar *q_ref_1d,
556                                       CeedScalar *q_weight_1d);
557 CEED_EXTERN int CeedQRFactorization(Ceed ceed, CeedScalar *mat, CeedScalar *tau,
558                                     CeedInt m, CeedInt n);
559 CEED_EXTERN int CeedSymmetricSchurDecomposition(Ceed ceed, CeedScalar *mat,
560     CeedScalar *lambda, CeedInt n);
561 CEED_EXTERN int CeedSimultaneousDiagonalization(Ceed ceed, CeedScalar *mat_A,
562     CeedScalar *mat_B, CeedScalar *x, CeedScalar *lambda, CeedInt n);
563 
564 /** Handle for the object describing the user CeedQFunction
565 
566  @param ctx user-defined context set using CeedQFunctionSetContext() or NULL
567 
568  @param Q   number of quadrature points at which to evaluate
569 
570  @param in  array of pointers to each input argument in the order provided
571               by the user in CeedQFunctionAddInput().  Each array has shape
572               `[dim, num_comp, Q]` where `dim` is the geometric dimension for
573               \ref CEED_EVAL_GRAD (`dim=1` for \ref CEED_EVAL_INTERP) and
574               `num_comp` is the number of field components (`num_comp=1` for
575               scalar fields).  This results in indexing the `i`th input at
576               quadrature point `j` as `in[i][(d*num_comp + c)*Q + j]`.
577 
578  @param out array of pointers to each output array in the order provided
579               using CeedQFunctionAddOutput().  The shapes are as above for
580               \a in.
581 
582  @return An error code: 0 - success, otherwise - failure
583 
584  @ingroup CeedQFunction
585 **/
586 typedef int (*CeedQFunctionUser)(void *ctx, const CeedInt Q,
587                                  const CeedScalar *const *in,
588                                  CeedScalar *const *out);
589 
590 CEED_EXTERN int CeedQFunctionCreateInterior(Ceed ceed, CeedInt vec_length,
591     CeedQFunctionUser f, const char *source, CeedQFunction *qf);
592 CEED_EXTERN int CeedQFunctionCreateInteriorByName(Ceed ceed, const char *name,
593     CeedQFunction *qf);
594 CEED_EXTERN int CeedQFunctionCreateIdentity(Ceed ceed, CeedInt size,
595     CeedEvalMode in_mode, CeedEvalMode out_mode, CeedQFunction *qf);
596 CEED_EXTERN int CeedQFunctionReferenceCopy(CeedQFunction qf, CeedQFunction *qf_copy);
597 CEED_EXTERN int CeedQFunctionAddInput(CeedQFunction qf, const char *field_name,
598                                       CeedInt size, CeedEvalMode eval_mode);
599 CEED_EXTERN int CeedQFunctionAddOutput(CeedQFunction qf, const char *field_name,
600                                        CeedInt size, CeedEvalMode eval_mode);
601 CEED_EXTERN int CeedQFunctionGetFields(CeedQFunction qf,
602                                        CeedInt *num_input_fields,
603                                        CeedQFunctionField **input_fields,
604                                        CeedInt *num_output_fields,
605                                        CeedQFunctionField **output_fields);
606 CEED_EXTERN int CeedQFunctionSetContext(CeedQFunction qf,
607                                         CeedQFunctionContext ctx);
608 CEED_EXTERN int CeedQFunctionView(CeedQFunction qf, FILE *stream);
609 CEED_EXTERN int CeedQFunctionApply(CeedQFunction qf, CeedInt Q,
610                                    CeedVector *u, CeedVector *v);
611 CEED_EXTERN int CeedQFunctionDestroy(CeedQFunction *qf);
612 
613 CEED_EXTERN int CeedQFunctionFieldGetName(CeedQFunctionField qf_field,
614     char **field_name);
615 CEED_EXTERN int CeedQFunctionFieldGetSize(CeedQFunctionField qf_field,
616     CeedInt *size);
617 CEED_EXTERN int CeedQFunctionFieldGetEvalMode(CeedQFunctionField qf_field,
618     CeedEvalMode *eval_mode);
619 
620 CEED_EXTERN int CeedQFunctionContextCreate(Ceed ceed,
621     CeedQFunctionContext *ctx);
622 CEED_EXTERN int CeedQFunctionContextReferenceCopy(CeedQFunctionContext ctx,
623     CeedQFunctionContext *ctx_copy);
624 CEED_EXTERN int CeedQFunctionContextSetData(CeedQFunctionContext ctx,
625     CeedMemType mem_type, CeedCopyMode copy_mode, size_t size, void *data);
626 CEED_EXTERN int CeedQFunctionContextTakeData(CeedQFunctionContext ctx,
627     CeedMemType mem_type, void *data);
628 CEED_EXTERN int CeedQFunctionContextGetData(CeedQFunctionContext ctx,
629     CeedMemType mem_type, void *data);
630 CEED_EXTERN int CeedQFunctionContextRestoreData(CeedQFunctionContext ctx,
631     void *data);
632 CEED_EXTERN int CeedQFunctionContextGetContextSize(CeedQFunctionContext ctx,
633     size_t *ctx_size);
634 CEED_EXTERN int CeedQFunctionContextView(CeedQFunctionContext ctx,
635     FILE *stream);
636 CEED_EXTERN int CeedQFunctionContextDestroy(CeedQFunctionContext *ctx);
637 
638 CEED_EXTERN int CeedOperatorCreate(Ceed ceed, CeedQFunction qf,
639                                    CeedQFunction dqf, CeedQFunction dqfT,
640                                    CeedOperator *op);
641 CEED_EXTERN int CeedCompositeOperatorCreate(Ceed ceed, CeedOperator *op);
642 CEED_EXTERN int CeedOperatorReferenceCopy(CeedOperator op, CeedOperator *op_copy);
643 CEED_EXTERN int CeedOperatorSetField(CeedOperator op, const char *field_name,
644                                      CeedElemRestriction r, CeedBasis b,
645                                      CeedVector v);
646 CEED_EXTERN int CeedOperatorGetFields(CeedOperator op,
647                                       CeedInt *num_input_fields,
648                                       CeedOperatorField **input_fields,
649                                       CeedInt *num_output_fields,
650                                       CeedOperatorField **output_fields);
651 CEED_EXTERN int CeedCompositeOperatorAddSub(CeedOperator composite_op,
652     CeedOperator sub_op);
653 CEED_EXTERN int CeedOperatorLinearAssembleQFunction(CeedOperator op,
654     CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request);
655 CEED_EXTERN int CeedOperatorLinearAssembleDiagonal(CeedOperator op,
656     CeedVector assembled, CeedRequest *request);
657 CEED_EXTERN int CeedOperatorLinearAssembleAddDiagonal(CeedOperator op,
658     CeedVector assembled, CeedRequest *request);
659 CEED_EXTERN int CeedOperatorLinearAssemblePointBlockDiagonal(CeedOperator op,
660     CeedVector assembled, CeedRequest *request);
661 CEED_EXTERN int CeedOperatorLinearAssembleAddPointBlockDiagonal(CeedOperator op,
662     CeedVector assembled, CeedRequest *request);
663 CEED_EXTERN int CeedOperatorLinearAssembleSymbolic(CeedOperator op,
664     CeedInt *num_entries, CeedInt **rows, CeedInt **cols);
665 CEED_EXTERN int CeedOperatorLinearAssemble(CeedOperator op, CeedVector values);
666 CEED_EXTERN int CeedOperatorMultigridLevelCreate(CeedOperator op_fine,
667     CeedVector p_mult_fine, CeedElemRestriction rstr_coarse, CeedBasis basis_coarse,
668     CeedOperator *op_coarse, CeedOperator *op_prolong, CeedOperator *op_restrict);
669 CEED_EXTERN int CeedOperatorMultigridLevelCreateTensorH1(
670   CeedOperator op_fine, CeedVector p_mult_fine, CeedElemRestriction rstr_coarse,
671   CeedBasis basis_coarse, const CeedScalar *interp_c_to_f, CeedOperator *op_coarse,
672   CeedOperator *op_prolong, CeedOperator *op_restrict);
673 CEED_EXTERN int CeedOperatorMultigridLevelCreateH1(CeedOperator op_fine,
674     CeedVector p_mult_fine, CeedElemRestriction rstr_coarse, CeedBasis basis_coarse,
675     const CeedScalar *interp_c_to_f, CeedOperator *op_coarse,
676     CeedOperator *op_prolong, CeedOperator *op_restrict);
677 CEED_EXTERN int CeedOperatorCreateFDMElementInverse(CeedOperator op,
678     CeedOperator *fdm_inv, CeedRequest *request);
679 CEED_EXTERN int CeedOperatorSetNumQuadraturePoints(CeedOperator op, CeedInt num_qpts);
680 CEED_EXTERN int CeedOperatorView(CeedOperator op, FILE *stream);
681 CEED_EXTERN int CeedOperatorApply(CeedOperator op, CeedVector in,
682                                   CeedVector out, CeedRequest *request);
683 CEED_EXTERN int CeedOperatorApplyAdd(CeedOperator op, CeedVector in,
684                                      CeedVector out, CeedRequest *request);
685 CEED_EXTERN int CeedOperatorDestroy(CeedOperator *op);
686 
687 CEED_EXTERN int CeedOperatorFieldGetName(CeedOperatorField op_field,
688     char **field_name);
689 CEED_EXTERN int CeedOperatorFieldGetElemRestriction(CeedOperatorField op_field,
690     CeedElemRestriction *rstr);
691 CEED_EXTERN int CeedOperatorFieldGetBasis(CeedOperatorField op_field,
692     CeedBasis *basis);
693 CEED_EXTERN int CeedOperatorFieldGetVector(CeedOperatorField op_field,
694     CeedVector *vec);
695 
696 /**
697   @brief Return integer power
698 
699   @param[in] base   The base to exponentiate
700   @param[in] power  The power to raise the base to
701 
702   @return base^power
703 
704   @ref Utility
705 **/
706 static inline CeedInt CeedIntPow(CeedInt base, CeedInt power) {
707   CeedInt result = 1;
708   while (power) {
709     if (power & 1) result *= base;
710     power >>= 1;
711     base *= base;
712   }
713   return result;
714 }
715 
716 /**
717   @brief Return minimum of two integers
718 
719   @param[in] a  The first integer to compare
720   @param[in] b  The second integer to compare
721 
722   @return The minimum of the two integers
723 
724   @ref Utility
725 **/
726 static inline CeedInt CeedIntMin(CeedInt a, CeedInt b) { return a < b ? a : b; }
727 
728 /**
729   @brief Return maximum of two integers
730 
731   @param[in] a  The first integer to compare
732   @param[in] b  The second integer to compare
733 
734   @return The maximum of the two integers
735 
736   @ref Utility
737 **/
738 static inline CeedInt CeedIntMax(CeedInt a, CeedInt b) { return a > b ? a : b; }
739 
740 // Used to ensure initialization before CeedInit()
741 CEED_EXTERN int CeedRegisterAll(void);
742 // Used to ensure initialization before CeedQFunctionCreate*()
743 CEED_EXTERN int CeedQFunctionRegisterAll(void);
744 
745 #endif
746