xref: /libCEED/include/ceed.h (revision 6397b31bcaf7e994aea0d6896897f7cd33505ad1)
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 
176 /// Specify memory type
177 ///
178 /// Many Ceed interfaces take or return pointers to memory.  This enum is used to
179 /// specify where the memory being provided or requested must reside.
180 /// @ingroup Ceed
181 typedef enum {
182   /// Memory resides on the host
183   CEED_MEM_HOST,
184   /// Memory resides on a device (corresponding to \ref Ceed resource)
185   CEED_MEM_DEVICE,
186 } CeedMemType;
187 
188 CEED_EXTERN const char *const CeedMemTypes[];
189 
190 CEED_EXTERN int CeedGetPreferredMemType(Ceed ceed, CeedMemType *type);
191 
192 /// Conveys ownership status of arrays passed to Ceed interfaces.
193 /// @ingroup Ceed
194 typedef enum {
195   /// Implementation will copy the values and not store the passed pointer.
196   CEED_COPY_VALUES,
197   /// Implementation can use and modify the data provided by the user, but does
198   /// not take ownership.
199   CEED_USE_POINTER,
200   /// Implementation takes ownership of the pointer and will free using
201   /// CeedFree() when done using it.  The user should not assume that the
202   /// pointer remains valid after ownership has been transferred.  Note that
203   /// arrays allocated using C++ operator new or other allocators cannot
204   /// generally be freed using CeedFree().  CeedFree() is capable of freeing any
205   /// memory that can be freed using free(3).
206   CEED_OWN_POINTER,
207 } CeedCopyMode;
208 
209 /// Denotes type of vector norm to be computed
210 /// @ingroup CeedVector
211 typedef enum {
212   /// L_1 norm: sum_i |x_i|
213   CEED_NORM_1,
214   /// L_2 norm: sqrt(sum_i |x_i|^2)
215   CEED_NORM_2,
216   /// L_Infinity norm: max_i |x_i|
217   CEED_NORM_MAX,
218 } CeedNormType;
219 
220 CEED_EXTERN const char *const CeedCopyModes[];
221 
222 CEED_EXTERN int CeedVectorCreate(Ceed ceed, CeedInt len, CeedVector *vec);
223 CEED_EXTERN int CeedVectorSetArray(CeedVector vec, CeedMemType mtype,
224                                    CeedCopyMode cmode, CeedScalar *array);
225 CEED_EXTERN int CeedVectorSetValue(CeedVector vec, CeedScalar value);
226 CEED_EXTERN int CeedVectorSyncArray(CeedVector vec, CeedMemType mtype);
227 CEED_EXTERN int CeedVectorTakeArray(CeedVector vec, CeedMemType mtype,
228                                     CeedScalar **array);
229 CEED_EXTERN int CeedVectorGetArray(CeedVector vec, CeedMemType mtype,
230                                    CeedScalar **array);
231 CEED_EXTERN int CeedVectorGetArrayRead(CeedVector vec, CeedMemType mtype,
232                                        const CeedScalar **array);
233 CEED_EXTERN int CeedVectorRestoreArray(CeedVector vec, CeedScalar **array);
234 CEED_EXTERN int CeedVectorRestoreArrayRead(CeedVector vec,
235     const CeedScalar **array);
236 CEED_EXTERN int CeedVectorNorm(CeedVector vec, CeedNormType type,
237                                CeedScalar *norm);
238 CEED_EXTERN int CeedVectorView(CeedVector vec, const char *fpfmt, FILE *stream);
239 CEED_EXTERN int CeedVectorGetLength(CeedVector vec, CeedInt *length);
240 CEED_EXTERN int CeedVectorDestroy(CeedVector *vec);
241 
242 CEED_EXTERN CeedRequest *const CEED_REQUEST_IMMEDIATE;
243 CEED_EXTERN CeedRequest *const CEED_REQUEST_ORDERED;
244 CEED_EXTERN int CeedRequestWait(CeedRequest *req);
245 
246 /// Argument for CeedOperatorSetField that vector is collocated with
247 /// quadrature points, used with QFunction eval mode CEED_EVAL_NONE
248 /// or CEED_EVAL_INTERP only, not with CEED_EVAL_GRAD, CEED_EVAL_DIV,
249 /// or CEED_EVAL_CURL
250 /// @ingroup CeedBasis
251 CEED_EXTERN const CeedBasis CEED_BASIS_COLLOCATED;
252 
253 /// Argument for CeedOperatorSetField to use active input or output
254 /// @ingroup CeedVector
255 CEED_EXTERN const CeedVector CEED_VECTOR_ACTIVE;
256 
257 /// Argument for CeedOperatorSetField to use no vector, used with
258 /// qfunction input with eval mode CEED_EVAL_WEIGHT
259 /// @ingroup CeedVector
260 CEED_EXTERN const CeedVector CEED_VECTOR_NONE;
261 
262 /// Argument for CeedOperatorSetField to use no ElemRestriction, only used with
263 /// eval mode CEED_EVAL_WEIGHT.
264 /// @ingroup CeedElemRestriction
265 CEED_EXTERN const CeedElemRestriction CEED_ELEMRESTRICTION_NONE;
266 
267 /// Argument for CeedOperatorCreate that QFunction is not created by user.
268 /// Only used for QFunctions dqf and dqfT. If implemented, a backend may
269 /// attempt to provide the action of these QFunctions.
270 /// @ingroup CeedQFunction
271 CEED_EXTERN const CeedQFunction CEED_QFUNCTION_NONE;
272 
273 /// Denotes whether a linear transformation or its transpose should be applied
274 /// @ingroup CeedBasis
275 typedef enum {
276   /// Apply the linear transformation
277   CEED_NOTRANSPOSE,
278   /// Apply the transpose
279   CEED_TRANSPOSE
280 } CeedTransposeMode;
281 
282 CEED_EXTERN const char *const CeedTransposeModes[];
283 
284 /// Argument for CeedElemRestrictionCreateStrided that L-vector is in
285 /// the Ceed backend's preferred layout. This argument should only be used
286 /// with vectors created by a Ceed backend.
287 /// @ingroup CeedElemRestriction
288 CEED_EXTERN const CeedInt CEED_STRIDES_BACKEND[3];
289 
290 CEED_EXTERN int CeedElemRestrictionCreate(Ceed ceed, CeedInt nelem,
291     CeedInt elemsize, CeedInt ncomp, CeedInt compstride, CeedInt lsize,
292     CeedMemType mtype, CeedCopyMode cmode, const CeedInt *offsets,
293     CeedElemRestriction *rstr);
294 CEED_EXTERN int CeedElemRestrictionCreateStrided(Ceed ceed,
295     CeedInt nelem, CeedInt elemsize, CeedInt ncomp, CeedInt lsize,
296     const CeedInt strides[3], CeedElemRestriction *rstr);
297 CEED_EXTERN int CeedElemRestrictionCreateBlocked(Ceed ceed, CeedInt nelem,
298     CeedInt elemsize, CeedInt blksize, CeedInt ncomp, CeedInt compstride,
299     CeedInt lsize, CeedMemType mtype, CeedCopyMode cmode,
300     const CeedInt *offsets, CeedElemRestriction *rstr);
301 CEED_EXTERN int CeedElemRestrictionCreateBlockedStrided(Ceed ceed,
302     CeedInt nelem, CeedInt elemsize, CeedInt blksize, CeedInt ncomp,
303     CeedInt lsize, const CeedInt strides[3], CeedElemRestriction *rstr);
304 CEED_EXTERN int CeedElemRestrictionCreateVector(CeedElemRestriction rstr,
305     CeedVector *lvec, CeedVector *evec);
306 CEED_EXTERN int CeedElemRestrictionApply(CeedElemRestriction rstr,
307     CeedTransposeMode tmode, CeedVector u, CeedVector ru, CeedRequest *request);
308 CEED_EXTERN int CeedElemRestrictionApplyBlock(CeedElemRestriction rstr,
309     CeedInt block, CeedTransposeMode tmode, CeedVector u, CeedVector ru,
310     CeedRequest *request);
311 CEED_EXTERN int CeedElemRestrictionGetCompStride(CeedElemRestriction rstr,
312     CeedInt *compstride);
313 CEED_EXTERN int CeedElemRestrictionGetNumElements(CeedElemRestriction rstr,
314     CeedInt *numelem);
315 CEED_EXTERN int CeedElemRestrictionGetElementSize(CeedElemRestriction rstr,
316     CeedInt *elemsize);
317 CEED_EXTERN int CeedElemRestrictionGetLVectorSize(CeedElemRestriction rstr,
318     CeedInt *lsize);
319 CEED_EXTERN int CeedElemRestrictionGetNumComponents(CeedElemRestriction rstr,
320     CeedInt *numcomp);
321 CEED_EXTERN int CeedElemRestrictionGetNumBlocks(CeedElemRestriction rstr,
322     CeedInt *numblk);
323 CEED_EXTERN int CeedElemRestrictionGetBlockSize(CeedElemRestriction rstr,
324     CeedInt *blksize);
325 CEED_EXTERN int CeedElemRestrictionGetMultiplicity(CeedElemRestriction rstr,
326     CeedVector mult);
327 CEED_EXTERN int CeedElemRestrictionView(CeedElemRestriction rstr, FILE *stream);
328 CEED_EXTERN int CeedElemRestrictionDestroy(CeedElemRestriction *rstr);
329 
330 // The formalism here is that we have the structure
331 //  \int_\Omega v^T f_0(u, \nabla u, qdata) + (\nabla v)^T f_1(u, \nabla u, qdata)
332 // where gradients are with respect to the reference element.
333 
334 /// Basis evaluation mode
335 ///
336 /// Modes can be bitwise ORed when passing to most functions.
337 /// @ingroup CeedBasis
338 typedef enum {
339   /// Perform no evaluation (either because there is no data or it is already at
340   /// quadrature points)
341   CEED_EVAL_NONE   = 0,
342   /// Interpolate from nodes to quadrature points
343   CEED_EVAL_INTERP = 1,
344   /// Evaluate gradients at quadrature points from input in a nodal basis
345   CEED_EVAL_GRAD   = 2,
346   /// Evaluate divergence at quadrature points from input in a nodal basis
347   CEED_EVAL_DIV    = 4,
348   /// Evaluate curl at quadrature points from input in a nodal basis
349   CEED_EVAL_CURL   = 8,
350   /// Using no input, evaluate quadrature weights on the reference element
351   CEED_EVAL_WEIGHT = 16,
352 } CeedEvalMode;
353 
354 CEED_EXTERN const char *const CeedEvalModes[];
355 
356 /// Type of quadrature; also used for location of nodes
357 /// @ingroup CeedBasis
358 typedef enum {
359   /// Gauss-Legendre quadrature
360   CEED_GAUSS = 0,
361   /// Gauss-Legendre-Lobatto quadrature
362   CEED_GAUSS_LOBATTO = 1,
363 } CeedQuadMode;
364 
365 CEED_EXTERN const char *const CeedQuadModes[];
366 
367 /// Type of basis shape to create non-tensor H1 element basis
368 ///
369 /// Dimension can be extracted with bitwise AND
370 /// (CeedElemTopology & 2**(dim + 2)) == TRUE
371 /// @ingroup CeedBasis
372 typedef enum {
373   /// Line
374   CEED_LINE = 1 << 16 | 0,
375   /// Triangle - 2D shape
376   CEED_TRIANGLE = 2 << 16 | 1,
377   /// Quadralateral - 2D shape
378   CEED_QUAD = 2 << 16 | 2,
379   /// Tetrahedron - 3D shape
380   CEED_TET = 3 << 16 | 3,
381   /// Pyramid - 3D shape
382   CEED_PYRAMID = 3 << 16 | 4,
383   /// Prism - 3D shape
384   CEED_PRISM = 3 << 16 | 5,
385   /// Hexehedron - 3D shape
386   CEED_HEX = 3 << 16 | 6,
387 } CeedElemTopology;
388 
389 CEED_EXTERN const char *const CeedElemTopologies[];
390 
391 CEED_EXTERN int CeedBasisCreateTensorH1Lagrange(Ceed ceed, CeedInt dim,
392     CeedInt ncomp, CeedInt P, CeedInt Q, CeedQuadMode qmode, CeedBasis *basis);
393 CEED_EXTERN int CeedBasisCreateTensorH1(Ceed ceed, CeedInt dim, CeedInt ncomp,
394                                         CeedInt P1d, CeedInt Q1d,
395                                         const CeedScalar *interp1d,
396                                         const CeedScalar *grad1d,
397                                         const CeedScalar *qref1d,
398                                         const CeedScalar *qweight1d,
399                                         CeedBasis *basis);
400 CEED_EXTERN int CeedBasisCreateH1(Ceed ceed, CeedElemTopology topo,
401                                   CeedInt ncomp,
402                                   CeedInt nnodes, CeedInt nqpts,
403                                   const CeedScalar *interp,
404                                   const CeedScalar *grad,
405                                   const CeedScalar *qref,
406                                   const CeedScalar *qweight, CeedBasis *basis);
407 CEED_EXTERN int CeedBasisView(CeedBasis basis, FILE *stream);
408 CEED_EXTERN int CeedBasisApply(CeedBasis basis, CeedInt nelem,
409                                CeedTransposeMode tmode,
410                                CeedEvalMode emode, CeedVector u, CeedVector v);
411 CEED_EXTERN int CeedBasisGetDimension(CeedBasis basis, CeedInt *dim);
412 CEED_EXTERN int CeedBasisGetNumComponents(CeedBasis basis, CeedInt *numcomp);
413 CEED_EXTERN int CeedBasisGetNumNodes(CeedBasis basis, CeedInt *P);
414 CEED_EXTERN int CeedBasisGetNumNodes1D(CeedBasis basis, CeedInt *P1d);
415 CEED_EXTERN int CeedBasisGetNumQuadraturePoints(CeedBasis basis, CeedInt *Q);
416 CEED_EXTERN int CeedBasisGetNumQuadraturePoints1D(CeedBasis basis,
417     CeedInt *Q1d);
418 CEED_EXTERN int CeedBasisGetQRef(CeedBasis basis, const CeedScalar **qref);
419 CEED_EXTERN int CeedBasisGetQWeights(CeedBasis basis,
420                                      const CeedScalar **qweight);
421 CEED_EXTERN int CeedBasisGetInterp(CeedBasis basis, const CeedScalar **interp);
422 CEED_EXTERN int CeedBasisGetInterp1D(CeedBasis basis,
423                                      const CeedScalar **interp1d);
424 CEED_EXTERN int CeedBasisGetGrad(CeedBasis basis, const CeedScalar **grad);
425 CEED_EXTERN int CeedBasisGetGrad1D(CeedBasis basis, const CeedScalar **grad1d);
426 CEED_EXTERN int CeedBasisDestroy(CeedBasis *basis);
427 
428 CEED_EXTERN int CeedGaussQuadrature(CeedInt Q, CeedScalar *qref1d,
429                                     CeedScalar *qweight1d);
430 CEED_EXTERN int CeedLobattoQuadrature(CeedInt Q, CeedScalar *qref1d,
431                                       CeedScalar *qweight1d);
432 CEED_EXTERN int CeedQRFactorization(Ceed ceed, CeedScalar *mat, CeedScalar *tau,
433                                     CeedInt m, CeedInt n);
434 CEED_EXTERN int CeedSymmetricSchurDecomposition(Ceed ceed, CeedScalar *mat,
435     CeedScalar *lambda, CeedInt n);
436 CEED_EXTERN int CeedSimultaneousDiagonalization(Ceed ceed, CeedScalar *matA,
437     CeedScalar *matB, CeedScalar *x, CeedScalar *lambda, CeedInt n);
438 
439 /** Handle for the object describing the user CeedQFunction
440 
441  @param ctx user-defined context set using CeedQFunctionSetContext() or NULL
442 
443  @param Q   number of quadrature points at which to evaluate
444 
445  @param in  array of pointers to each input argument in the order provided
446               by the user in CeedQFunctionAddInput().  Each array has shape
447               `[dim, ncomp, Q]` where `dim` is the geometric dimension for
448               \ref CEED_EVAL_GRAD (`dim=1` for \ref CEED_EVAL_INTERP) and
449               `ncomp` is the number of field components (`ncomp=1` for
450               scalar fields).  This results in indexing the `i`th input at
451               quadrature point `j` as `in[i][(d*ncomp + c)*Q + j]`.
452 
453  @param out array of pointers to each output array in the order provided
454               using CeedQFunctionAddOutput().  The shapes are as above for
455               \a in.
456 
457  @return An error code: 0 - success, otherwise - failure
458 
459  @ingroup CeedQFunction
460 **/
461 typedef int (*CeedQFunctionUser)(void *ctx, const CeedInt Q,
462                                  const CeedScalar *const *in,
463                                  CeedScalar *const *out);
464 
465 CEED_EXTERN int CeedQFunctionCreateInterior(Ceed ceed, CeedInt vlength,
466     CeedQFunctionUser f, const char *source, CeedQFunction *qf);
467 CEED_EXTERN int CeedQFunctionCreateInteriorByName(Ceed ceed, const char *name,
468     CeedQFunction *qf);
469 CEED_EXTERN int CeedQFunctionCreateIdentity(Ceed ceed, CeedInt size,
470     CeedEvalMode inmode, CeedEvalMode outmode, CeedQFunction *qf);
471 CEED_EXTERN int CeedQFunctionAddInput(CeedQFunction qf, const char *fieldname,
472                                       CeedInt size, CeedEvalMode emode);
473 CEED_EXTERN int CeedQFunctionAddOutput(CeedQFunction qf, const char *fieldname,
474                                        CeedInt size, CeedEvalMode emode);
475 CEED_EXTERN int CeedQFunctionSetContext(CeedQFunction qf, void *ctx,
476                                         size_t ctxsize);
477 CEED_EXTERN int CeedQFunctionView(CeedQFunction qf, FILE *stream);
478 CEED_EXTERN int CeedQFunctionApply(CeedQFunction qf, CeedInt Q,
479                                    CeedVector *u, CeedVector *v);
480 CEED_EXTERN int CeedQFunctionDestroy(CeedQFunction *qf);
481 
482 CEED_EXTERN int CeedOperatorCreate(Ceed ceed, CeedQFunction qf,
483                                    CeedQFunction dqf, CeedQFunction dqfT,
484                                    CeedOperator *op);
485 CEED_EXTERN int CeedCompositeOperatorCreate(Ceed ceed, CeedOperator *op);
486 CEED_EXTERN int CeedOperatorSetField(CeedOperator op, const char *fieldname,
487                                      CeedElemRestriction r, CeedBasis b,
488                                      CeedVector v);
489 CEED_EXTERN int CeedCompositeOperatorAddSub(CeedOperator compositeop,
490     CeedOperator subop);
491 CEED_EXTERN int CeedOperatorLinearAssembleQFunction(CeedOperator op,
492     CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request);
493 CEED_EXTERN int CeedOperatorLinearAssembleDiagonal(CeedOperator op,
494     CeedVector assembled, CeedRequest *request);
495 CEED_EXTERN int CeedOperatorLinearAssembleAddDiagonal(CeedOperator op,
496     CeedVector assembled, CeedRequest *request);
497 CEED_EXTERN int CeedOperatorLinearAssemblePointBlockDiagonal(CeedOperator op,
498     CeedVector assembled, CeedRequest *request);
499 CEED_EXTERN int CeedOperatorLinearAssembleAddPointBlockDiagonal(CeedOperator op,
500     CeedVector assembled, CeedRequest *request);
501 CEED_EXTERN int CeedOperatorCreateFDMElementInverse(CeedOperator op,
502     CeedOperator *fdminv, CeedRequest *request);
503 CEED_EXTERN int CeedOperatorView(CeedOperator op, FILE *stream);
504 CEED_EXTERN int CeedOperatorApply(CeedOperator op, CeedVector in,
505                                   CeedVector out, CeedRequest *request);
506 CEED_EXTERN int CeedOperatorApplyAdd(CeedOperator op, CeedVector in,
507                                      CeedVector out, CeedRequest *request);
508 CEED_EXTERN int CeedOperatorDestroy(CeedOperator *op);
509 
510 /**
511   @brief Return integer power
512 
513   @param[in] base   The base to exponentiate
514   @param[in] power  The power to raise the base to
515 
516   @return base^power
517 
518   @ref Utility
519 **/
520 static inline CeedInt CeedIntPow(CeedInt base, CeedInt power) {
521   CeedInt result = 1;
522   while (power) {
523     if (power & 1) result *= base;
524     power >>= 1;
525     base *= base;
526   }
527   return result;
528 }
529 
530 /**
531   @brief Return minimum of two integers
532 
533   @param[in] a  The first integer to compare
534   @param[in] b  The second integer to compare
535 
536   @return The minimum of the two integers
537 
538   @ref Utility
539 **/
540 static inline CeedInt CeedIntMin(CeedInt a, CeedInt b) { return a < b ? a : b; }
541 
542 #endif
543