xref: /libCEED/include/ceed.h (revision 9525855cad8c4d11c92d8690c1fd31b3722ac1da)
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   Using VLA syntax to reshape User QFunction inputs and outputs can make
73     user code more readable. VLA is a C99 feature that is not supported by
74     the C++ dialect used by CUDA. This macro allows users to use the VLA
75     syntax with the CUDA backends.
76 **/
77 #ifndef CEED_Q_VLA
78 #  define CEED_Q_VLA Q
79 #endif
80 
81 /**
82   @ingroup Ceed
83   This macro provides the appropriate SIMD Pragma for the compilation
84     environment. Code generation backends may redefine this macro, as needed.
85 **/
86 #ifndef CeedPragmaSIMD
87 #  if defined(__INTEL_COMPILER)
88 #    define CeedPragmaSIMD _Pragma("vector")
89 // Cannot use Intel pragma ivdep because it miscompiles unpacking symmetric tensors, as in
90 // Poisson2DApply, where the SIMD loop body contains temporaries such as the following.
91 //
92 //     const CeedScalar dXdxdXdxT[2][2] = {{qd[i+0*Q], qd[i+2*Q]},
93 //                                         {qd[i+2*Q], qd[i+1*Q]}};
94 //     for (int j=0; j<2; j++)
95 //        vg[i+j*Q] = (du[0] * dXdxdXdxT[0][j] + du[1] * dXdxdXdxT[1][j]);
96 //
97 // Miscompilation with pragma ivdep observed with icc (ICC) 19.0.5.281 20190815
98 // at -O2 and above.
99 #  elif defined(__GNUC__) && __GNUC__ >= 5
100 #    define CeedPragmaSIMD _Pragma("GCC ivdep")
101 #  elif defined(_OPENMP) && _OPENMP >= 201307 // OpenMP-4.0 (July, 2013)
102 #    define CeedPragmaSIMD _Pragma("omp simd")
103 #  else
104 #    define CeedPragmaSIMD
105 #  endif
106 #endif
107 
108 #include <assert.h>
109 #include <stdint.h>
110 #include <stddef.h>
111 #include <stdarg.h>
112 #include <stdio.h>
113 #include <stdbool.h>
114 
115 /// Integer type, used for indexing
116 /// @ingroup Ceed
117 typedef int32_t CeedInt;
118 /// Scalar (floating point) type
119 /// @ingroup Ceed
120 typedef double CeedScalar;
121 
122 /// Library context created by CeedInit()
123 /// @ingroup CeedUser
124 typedef struct Ceed_private *Ceed;
125 /// Non-blocking Ceed interfaces return a CeedRequest.
126 /// To perform an operation immediately, pass \ref CEED_REQUEST_IMMEDIATE instead.
127 /// @ingroup CeedUser
128 typedef struct CeedRequest_private *CeedRequest;
129 /// Handle for vectors over the field \ref CeedScalar
130 /// @ingroup CeedVectorUser
131 typedef struct CeedVector_private *CeedVector;
132 /// Handle for object describing restriction to elements
133 /// @ingroup CeedElemRestrictionUser
134 typedef struct CeedElemRestriction_private *CeedElemRestriction;
135 /// Handle for object describing discrete finite element evaluations
136 /// @ingroup CeedBasisUser
137 typedef struct CeedBasis_private *CeedBasis;
138 /// Handle for object describing functions evaluated independently at quadrature points
139 /// @ingroup CeedQFunctionUser
140 typedef struct CeedQFunction_private *CeedQFunction;
141 /// Handle for object describing FE-type operators acting on vectors
142 ///
143 /// Given an element restriction \f$E\f$, basis evaluator \f$B\f$, and
144 ///   quadrature function\f$f\f$, a CeedOperator expresses operations of the form
145 ///   $$ E^T B^T f(B E u) $$
146 ///   acting on the vector \f$u\f$.
147 /// @ingroup CeedOperatorUser
148 typedef struct CeedOperator_private *CeedOperator;
149 
150 CEED_EXTERN int CeedInit(const char *resource, Ceed *ceed);
151 CEED_EXTERN int CeedGetResource(Ceed ceed, const char **resource);
152 CEED_EXTERN int CeedIsDeterministic(Ceed ceed, bool *isDeterministic);
153 CEED_EXTERN int CeedView(Ceed ceed, FILE *stream);
154 CEED_EXTERN int CeedDestroy(Ceed *ceed);
155 
156 CEED_EXTERN int CeedErrorImpl(Ceed, const char *, int, const char *, int,
157                               const char *, ...);
158 /// Raise an error on ceed object
159 ///
160 /// @param ceed Ceed library context or NULL
161 /// @param ecode Error code (int)
162 /// @param ... printf-style format string followed by arguments as needed
163 ///
164 /// @ingroup Ceed
165 /// @sa CeedSetErrorHandler()
166 #if defined(__clang__)
167 /// Use nonstandard ternary to convince the compiler/clang-tidy that this
168 /// function never returns zero.
169 #  define CeedError(ceed, ecode, ...)                                     \
170   (CeedErrorImpl((ceed), __FILE__, __LINE__, __func__, (ecode), __VA_ARGS__) ?: (ecode))
171 #else
172 #  define CeedError(ceed, ecode, ...)                                     \
173   CeedErrorImpl((ceed), __FILE__, __LINE__, __func__, (ecode), __VA_ARGS__) ?: (ecode)
174 #endif
175 /// Specify memory type
176 ///
177 /// Many Ceed interfaces take or return pointers to memory.  This enum is used to
178 /// specify where the memory being provided or requested must reside.
179 /// @ingroup Ceed
180 typedef enum {
181   /// Memory resides on the host
182   CEED_MEM_HOST,
183   /// Memory resides on a device (corresponding to \ref Ceed resource)
184   CEED_MEM_DEVICE,
185 } CeedMemType;
186 
187 CEED_EXTERN const char *const CeedMemTypes[];
188 
189 CEED_EXTERN int CeedGetPreferredMemType(Ceed ceed, CeedMemType *type);
190 
191 /// Conveys ownership status of arrays passed to Ceed interfaces.
192 /// @ingroup Ceed
193 typedef enum {
194   /// Implementation will copy the values and not store the passed pointer.
195   CEED_COPY_VALUES,
196   /// Implementation can use and modify the data provided by the user, but does
197   /// not take ownership.
198   CEED_USE_POINTER,
199   /// Implementation takes ownership of the pointer and will free using
200   /// CeedFree() when done using it.  The user should not assume that the
201   /// pointer remains valid after ownership has been transferred.  Note that
202   /// arrays allocated using C++ operator new or other allocators cannot
203   /// generally be freed using CeedFree().  CeedFree() is capable of freeing any
204   /// memory that can be freed using free(3).
205   CEED_OWN_POINTER,
206 } CeedCopyMode;
207 
208 /// Denotes type of vector norm to be computed
209 /// @ingroup CeedVector
210 typedef enum {
211   /// L_1 norm: sum_i |x_i|
212   CEED_NORM_1,
213   /// L_2 norm: sqrt(sum_i |x_i|^2)
214   CEED_NORM_2,
215   /// L_Infinity norm: max_i |x_i|
216   CEED_NORM_MAX,
217 } CeedNormType;
218 
219 CEED_EXTERN const char *const CeedCopyModes[];
220 
221 CEED_EXTERN int CeedVectorCreate(Ceed ceed, CeedInt len, CeedVector *vec);
222 CEED_EXTERN int CeedVectorSetArray(CeedVector vec, CeedMemType mtype,
223                                    CeedCopyMode cmode, CeedScalar *array);
224 CEED_EXTERN int CeedVectorSetValue(CeedVector vec, CeedScalar value);
225 CEED_EXTERN int CeedVectorSyncArray(CeedVector vec, CeedMemType mtype);
226 CEED_EXTERN int CeedVectorGetArray(CeedVector vec, CeedMemType mtype,
227                                    CeedScalar **array);
228 CEED_EXTERN int CeedVectorGetArrayRead(CeedVector vec, CeedMemType mtype,
229                                        const CeedScalar **array);
230 CEED_EXTERN int CeedVectorRestoreArray(CeedVector vec, CeedScalar **array);
231 CEED_EXTERN int CeedVectorRestoreArrayRead(CeedVector vec,
232     const CeedScalar **array);
233 CEED_EXTERN int CeedVectorNorm(CeedVector vec, CeedNormType type,
234                                CeedScalar *norm);
235 CEED_EXTERN int CeedVectorView(CeedVector vec, const char *fpfmt, FILE *stream);
236 CEED_EXTERN int CeedVectorGetLength(CeedVector vec, CeedInt *length);
237 CEED_EXTERN int CeedVectorDestroy(CeedVector *vec);
238 
239 CEED_EXTERN CeedRequest *const CEED_REQUEST_IMMEDIATE;
240 CEED_EXTERN CeedRequest *const CEED_REQUEST_ORDERED;
241 CEED_EXTERN int CeedRequestWait(CeedRequest *req);
242 
243 /// Argument for CeedOperatorSetField that vector is collocated with
244 /// quadrature points, used with QFunction eval mode CEED_EVAL_NONE
245 /// or CEED_EVAL_INTERP only, not with CEED_EVAL_GRAD, CEED_EVAL_DIV,
246 /// or CEED_EVAL_CURL
247 /// @ingroup CeedBasis
248 CEED_EXTERN const CeedBasis CEED_BASIS_COLLOCATED;
249 
250 /// Argument for CeedOperatorSetField to use active input or output
251 /// @ingroup CeedVector
252 CEED_EXTERN const CeedVector CEED_VECTOR_ACTIVE;
253 
254 /// Argument for CeedOperatorSetField to use no vector, used with
255 /// qfunction input with eval mode CEED_EVAL_WEIGHT
256 /// @ingroup CeedVector
257 CEED_EXTERN const CeedVector CEED_VECTOR_NONE;
258 
259 /// Argument for CeedOperatorSetField to use no ElemRestriction, only used with
260 /// eval mode CEED_EVAL_WEIGHT.
261 /// @ingroup CeedElemRestriction
262 CEED_EXTERN const CeedElemRestriction CEED_ELEMRESTRICTION_NONE;
263 
264 /// Argument for CeedOperatorCreate that QFunction is not created by user.
265 /// Only used for QFunctions dqf and dqfT. If implemented, a backend may
266 /// attempt to provide the action of these QFunctions.
267 /// @ingroup CeedQFunction
268 CEED_EXTERN const CeedQFunction CEED_QFUNCTION_NONE;
269 
270 /// Denotes whether a linear transformation or its transpose should be applied
271 /// @ingroup CeedBasis
272 typedef enum {
273   /// Apply the linear transformation
274   CEED_NOTRANSPOSE,
275   /// Apply the transpose
276   CEED_TRANSPOSE
277 } CeedTransposeMode;
278 
279 CEED_EXTERN const char *const CeedTransposeModes[];
280 
281 /// Argument for CeedElemRestrictionCreateStrided that L-vector is in
282 /// the Ceed backend's preferred layout. This argument should only be used
283 /// with vectors created by a Ceed backend.
284 /// @ingroup CeedElemRestriction
285 CEED_EXTERN const CeedInt CEED_STRIDES_BACKEND[3];
286 
287 CEED_EXTERN int CeedElemRestrictionCreate(Ceed ceed, CeedInt nelem,
288     CeedInt elemsize, CeedInt ncomp, CeedInt compstride, CeedInt lsize,
289     CeedMemType mtype, CeedCopyMode cmode, const CeedInt *offsets,
290     CeedElemRestriction *rstr);
291 CEED_EXTERN int CeedElemRestrictionCreateStrided(Ceed ceed,
292     CeedInt nelem, CeedInt elemsize, CeedInt ncomp, CeedInt lsize,
293     const CeedInt strides[3], CeedElemRestriction *rstr);
294 CEED_EXTERN int CeedElemRestrictionCreateBlocked(Ceed ceed, CeedInt nelem,
295     CeedInt elemsize, CeedInt blksize, CeedInt ncomp, CeedInt compstride,
296     CeedInt lsize, CeedMemType mtype, CeedCopyMode cmode,
297     const CeedInt *offsets, CeedElemRestriction *rstr);
298 CEED_EXTERN int CeedElemRestrictionCreateBlockedStrided(Ceed ceed,
299     CeedInt nelem, CeedInt elemsize, CeedInt blksize, CeedInt ncomp,
300     CeedInt lsize, const CeedInt strides[3], CeedElemRestriction *rstr);
301 CEED_EXTERN int CeedElemRestrictionCreateVector(CeedElemRestriction rstr,
302     CeedVector *lvec, CeedVector *evec);
303 CEED_EXTERN int CeedElemRestrictionApply(CeedElemRestriction rstr,
304     CeedTransposeMode tmode, CeedVector u, CeedVector ru, CeedRequest *request);
305 CEED_EXTERN int CeedElemRestrictionApplyBlock(CeedElemRestriction rstr,
306     CeedInt block, CeedTransposeMode tmode, CeedVector u, CeedVector ru,
307     CeedRequest *request);
308 CEED_EXTERN int CeedElemRestrictionGetCompStride(CeedElemRestriction rstr,
309     CeedInt *compstride);
310 CEED_EXTERN int CeedElemRestrictionGetNumElements(CeedElemRestriction rstr,
311     CeedInt *numelem);
312 CEED_EXTERN int CeedElemRestrictionGetElementSize(CeedElemRestriction rstr,
313     CeedInt *elemsize);
314 CEED_EXTERN int CeedElemRestrictionGetLVectorSize(CeedElemRestriction rstr,
315     CeedInt *lsize);
316 CEED_EXTERN int CeedElemRestrictionGetNumComponents(CeedElemRestriction rstr,
317     CeedInt *numcomp);
318 CEED_EXTERN int CeedElemRestrictionGetNumBlocks(CeedElemRestriction rstr,
319     CeedInt *numblk);
320 CEED_EXTERN int CeedElemRestrictionGetBlockSize(CeedElemRestriction rstr,
321     CeedInt *blksize);
322 CEED_EXTERN int CeedElemRestrictionGetMultiplicity(CeedElemRestriction rstr,
323     CeedVector mult);
324 CEED_EXTERN int CeedElemRestrictionView(CeedElemRestriction rstr, FILE *stream);
325 CEED_EXTERN int CeedElemRestrictionDestroy(CeedElemRestriction *rstr);
326 
327 // The formalism here is that we have the structure
328 //  \int_\Omega v^T f_0(u, \nabla u, qdata) + (\nabla v)^T f_1(u, \nabla u, qdata)
329 // where gradients are with respect to the reference element.
330 
331 /// Basis evaluation mode
332 ///
333 /// Modes can be bitwise ORed when passing to most functions.
334 /// @ingroup CeedBasis
335 typedef enum {
336   /// Perform no evaluation (either because there is no data or it is already at
337   /// quadrature points)
338   CEED_EVAL_NONE   = 0,
339   /// Interpolate from nodes to quadrature points
340   CEED_EVAL_INTERP = 1,
341   /// Evaluate gradients at quadrature points from input in a nodal basis
342   CEED_EVAL_GRAD   = 2,
343   /// Evaluate divergence at quadrature points from input in a nodal basis
344   CEED_EVAL_DIV    = 4,
345   /// Evaluate curl at quadrature points from input in a nodal basis
346   CEED_EVAL_CURL   = 8,
347   /// Using no input, evaluate quadrature weights on the reference element
348   CEED_EVAL_WEIGHT = 16,
349 } CeedEvalMode;
350 
351 CEED_EXTERN const char *const CeedEvalModes[];
352 
353 /// Type of quadrature; also used for location of nodes
354 /// @ingroup CeedBasis
355 typedef enum {
356   /// Gauss-Legendre quadrature
357   CEED_GAUSS = 0,
358   /// Gauss-Legendre-Lobatto quadrature
359   CEED_GAUSS_LOBATTO = 1,
360 } CeedQuadMode;
361 
362 CEED_EXTERN const char *const CeedQuadModes[];
363 
364 /// Type of basis shape to create non-tensor H1 element basis
365 ///
366 /// Dimension can be extracted with bitwise AND
367 /// (CeedElemTopology & 2**(dim + 2)) == TRUE
368 /// @ingroup CeedBasis
369 typedef enum {
370   /// Line
371   CEED_LINE = 1 << 16 | 0,
372   /// Triangle - 2D shape
373   CEED_TRIANGLE = 2 << 16 | 1,
374   /// Quadralateral - 2D shape
375   CEED_QUAD = 2 << 16 | 2,
376   /// Tetrahedron - 3D shape
377   CEED_TET = 3 << 16 | 3,
378   /// Pyramid - 3D shape
379   CEED_PYRAMID = 3 << 16 | 4,
380   /// Prism - 3D shape
381   CEED_PRISM = 3 << 16 | 5,
382   /// Hexehedron - 3D shape
383   CEED_HEX = 3 << 16 | 6,
384 } CeedElemTopology;
385 
386 CEED_EXTERN const char *const CeedElemTopologies[];
387 
388 CEED_EXTERN int CeedBasisCreateTensorH1Lagrange(Ceed ceed, CeedInt dim,
389     CeedInt ncomp, CeedInt P, CeedInt Q, CeedQuadMode qmode, CeedBasis *basis);
390 CEED_EXTERN int CeedBasisCreateTensorH1(Ceed ceed, CeedInt dim, CeedInt ncomp,
391                                         CeedInt P1d, CeedInt Q1d,
392                                         const CeedScalar *interp1d,
393                                         const CeedScalar *grad1d,
394                                         const CeedScalar *qref1d,
395                                         const CeedScalar *qweight1d,
396                                         CeedBasis *basis);
397 CEED_EXTERN int CeedBasisCreateH1(Ceed ceed, CeedElemTopology topo,
398                                   CeedInt ncomp,
399                                   CeedInt nnodes, CeedInt nqpts,
400                                   const CeedScalar *interp,
401                                   const CeedScalar *grad,
402                                   const CeedScalar *qref,
403                                   const CeedScalar *qweight, CeedBasis *basis);
404 CEED_EXTERN int CeedBasisView(CeedBasis basis, FILE *stream);
405 CEED_EXTERN int CeedBasisApply(CeedBasis basis, CeedInt nelem,
406                                CeedTransposeMode tmode,
407                                CeedEvalMode emode, CeedVector u, CeedVector v);
408 CEED_EXTERN int CeedBasisGetDimension(CeedBasis basis, CeedInt *dim);
409 CEED_EXTERN int CeedBasisGetNumComponents(CeedBasis basis, CeedInt *numcomp);
410 CEED_EXTERN int CeedBasisGetNumNodes(CeedBasis basis, CeedInt *P);
411 CEED_EXTERN int CeedBasisGetNumNodes1D(CeedBasis basis, CeedInt *P1d);
412 CEED_EXTERN int CeedBasisGetNumQuadraturePoints(CeedBasis basis, CeedInt *Q);
413 CEED_EXTERN int CeedBasisGetNumQuadraturePoints1D(CeedBasis basis,
414     CeedInt *Q1d);
415 CEED_EXTERN int CeedBasisGetQRef(CeedBasis basis, const CeedScalar **qref);
416 CEED_EXTERN int CeedBasisGetQWeights(CeedBasis basis,
417                                      const CeedScalar **qweight);
418 CEED_EXTERN int CeedBasisGetInterp(CeedBasis basis, const CeedScalar **interp);
419 CEED_EXTERN int CeedBasisGetInterp1D(CeedBasis basis,
420                                      const CeedScalar **interp1d);
421 CEED_EXTERN int CeedBasisGetGrad(CeedBasis basis, const CeedScalar **grad);
422 CEED_EXTERN int CeedBasisGetGrad1D(CeedBasis basis, const CeedScalar **grad1d);
423 CEED_EXTERN int CeedBasisDestroy(CeedBasis *basis);
424 
425 CEED_EXTERN int CeedGaussQuadrature(CeedInt Q, CeedScalar *qref1d,
426                                     CeedScalar *qweight1d);
427 CEED_EXTERN int CeedLobattoQuadrature(CeedInt Q, CeedScalar *qref1d,
428                                       CeedScalar *qweight1d);
429 CEED_EXTERN int CeedQRFactorization(Ceed ceed, CeedScalar *mat, CeedScalar *tau,
430                                     CeedInt m, CeedInt n);
431 CEED_EXTERN int CeedSymmetricSchurDecomposition(Ceed ceed, CeedScalar *mat,
432     CeedScalar *lambda, CeedInt n);
433 CEED_EXTERN int CeedSimultaneousDiagonalization(Ceed ceed, CeedScalar *matA,
434     CeedScalar *matB, CeedScalar *x, CeedScalar *lambda, CeedInt n);
435 
436 /** Handle for the object describing the user CeedQFunction
437 
438  @param ctx user-defined context set using CeedQFunctionSetContext() or NULL
439 
440  @param Q   number of quadrature points at which to evaluate
441 
442  @param in  array of pointers to each input argument in the order provided
443               by the user in CeedQFunctionAddInput().  Each array has shape
444               `[dim, ncomp, Q]` where `dim` is the geometric dimension for
445               \ref CEED_EVAL_GRAD (`dim=1` for \ref CEED_EVAL_INTERP) and
446               `ncomp` is the number of field components (`ncomp=1` for
447               scalar fields).  This results in indexing the `i`th input at
448               quadrature point `j` as `in[i][(d*ncomp + c)*Q + j]`.
449 
450  @param out array of pointers to each output array in the order provided
451               using CeedQFunctionAddOutput().  The shapes are as above for
452               \a in.
453 
454  @return An error code: 0 - success, otherwise - failure
455 
456  @ingroup CeedQFunction
457 **/
458 typedef int (*CeedQFunctionUser)(void *ctx, const CeedInt Q,
459                                  const CeedScalar *const *in,
460                                  CeedScalar *const *out);
461 
462 CEED_EXTERN int CeedQFunctionCreateInterior(Ceed ceed, CeedInt vlength,
463     CeedQFunctionUser f, const char *source, CeedQFunction *qf);
464 CEED_EXTERN int CeedQFunctionCreateInteriorByName(Ceed ceed, const char *name,
465     CeedQFunction *qf);
466 CEED_EXTERN int CeedQFunctionCreateIdentity(Ceed ceed, CeedInt size,
467     CeedEvalMode inmode, CeedEvalMode outmode, CeedQFunction *qf);
468 CEED_EXTERN int CeedQFunctionAddInput(CeedQFunction qf, const char *fieldname,
469                                       CeedInt size, CeedEvalMode emode);
470 CEED_EXTERN int CeedQFunctionAddOutput(CeedQFunction qf, const char *fieldname,
471                                        CeedInt size, CeedEvalMode emode);
472 CEED_EXTERN int CeedQFunctionSetContext(CeedQFunction qf, void *ctx,
473                                         size_t ctxsize);
474 CEED_EXTERN int CeedQFunctionView(CeedQFunction qf, FILE *stream);
475 CEED_EXTERN int CeedQFunctionApply(CeedQFunction qf, CeedInt Q,
476                                    CeedVector *u, CeedVector *v);
477 CEED_EXTERN int CeedQFunctionDestroy(CeedQFunction *qf);
478 
479 CEED_EXTERN int CeedOperatorCreate(Ceed ceed, CeedQFunction qf,
480                                    CeedQFunction dqf, CeedQFunction dqfT,
481                                    CeedOperator *op);
482 CEED_EXTERN int CeedCompositeOperatorCreate(Ceed ceed, CeedOperator *op);
483 CEED_EXTERN int CeedOperatorSetField(CeedOperator op, const char *fieldname,
484                                      CeedElemRestriction r, CeedBasis b,
485                                      CeedVector v);
486 CEED_EXTERN int CeedCompositeOperatorAddSub(CeedOperator compositeop,
487     CeedOperator subop);
488 CEED_EXTERN int CeedOperatorLinearAssembleQFunction(CeedOperator op,
489     CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request);
490 CEED_EXTERN int CeedOperatorLinearAssembleDiagonal(CeedOperator op,
491     CeedVector assembled, CeedRequest *request);
492 CEED_EXTERN int CeedOperatorLinearAssembleAddDiagonal(CeedOperator op,
493     CeedVector assembled, CeedRequest *request);
494 CEED_EXTERN int CeedOperatorLinearAssemblePointBlockDiagonal(CeedOperator op,
495     CeedVector assembled, CeedRequest *request);
496 CEED_EXTERN int CeedOperatorLinearAssembleAddPointBlockDiagonal(CeedOperator op,
497     CeedVector assembled, CeedRequest *request);
498 CEED_EXTERN int CeedOperatorCreateFDMElementInverse(CeedOperator op,
499     CeedOperator *fdminv, CeedRequest *request);
500 CEED_EXTERN int CeedOperatorView(CeedOperator op, FILE *stream);
501 CEED_EXTERN int CeedOperatorApply(CeedOperator op, CeedVector in,
502                                   CeedVector out, CeedRequest *request);
503 CEED_EXTERN int CeedOperatorApplyAdd(CeedOperator op, CeedVector in,
504                                      CeedVector out, CeedRequest *request);
505 CEED_EXTERN int CeedOperatorDestroy(CeedOperator *op);
506 
507 /**
508   @brief Return integer power
509 
510   @param[in] base   The base to exponentiate
511   @param[in] power  The power to raise the base to
512 
513   @return base^power
514 
515   @ref Utility
516 **/
517 static inline CeedInt CeedIntPow(CeedInt base, CeedInt power) {
518   CeedInt result = 1;
519   while (power) {
520     if (power & 1) result *= base;
521     power >>= 1;
522     base *= base;
523   }
524   return result;
525 }
526 
527 /**
528   @brief Return minimum of two integers
529 
530   @param[in] a  The first integer to compare
531   @param[in] b  The second integer to compare
532 
533   @return The minimum of the two integers
534 
535   @ref Utility
536 **/
537 static inline CeedInt CeedIntMin(CeedInt a, CeedInt b) { return a < b ? a : b; }
538 
539 #endif
540