xref: /libCEED/rust/libceed-sys/c-src/include/ceed.h (revision 3d576824e8d990e1f48c6609089904bee9170514)
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 <stdint.h>
109 #include <stdarg.h>
110 #include <stdio.h>
111 #include <stdbool.h>
112 
113 /// Integer type, used for indexing
114 /// @ingroup Ceed
115 typedef int32_t CeedInt;
116 /// Scalar (floating point) type
117 /// @ingroup Ceed
118 typedef double CeedScalar;
119 
120 /// Library context created by CeedInit()
121 /// @ingroup CeedUser
122 typedef struct Ceed_private *Ceed;
123 /// Non-blocking Ceed interfaces return a CeedRequest.
124 /// To perform an operation immediately, pass \ref CEED_REQUEST_IMMEDIATE instead.
125 /// @ingroup CeedUser
126 typedef struct CeedRequest_private *CeedRequest;
127 /// Handle for vectors over the field \ref CeedScalar
128 /// @ingroup CeedVectorUser
129 typedef struct CeedVector_private *CeedVector;
130 /// Handle for object describing restriction to elements
131 /// @ingroup CeedElemRestrictionUser
132 typedef struct CeedElemRestriction_private *CeedElemRestriction;
133 /// Handle for object describing discrete finite element evaluations
134 /// @ingroup CeedBasisUser
135 typedef struct CeedBasis_private *CeedBasis;
136 /// Handle for object describing functions evaluated independently at quadrature points
137 /// @ingroup CeedQFunctionUser
138 typedef struct CeedQFunction_private *CeedQFunction;
139 /// Handle for object describing context data for CeedQFunctions
140 /// @ingroup CeedQFunctionUser
141 typedef struct CeedQFunctionContext_private *CeedQFunctionContext;
142 /// Handle for object describing FE-type operators acting on vectors
143 ///
144 /// Given an element restriction \f$E\f$, basis evaluator \f$B\f$, and
145 ///   quadrature function\f$f\f$, a CeedOperator expresses operations of the form
146 ///   $$ E^T B^T f(B E u) $$
147 ///   acting on the vector \f$u\f$.
148 /// @ingroup CeedOperatorUser
149 typedef struct CeedOperator_private *CeedOperator;
150 
151 CEED_EXTERN int CeedInit(const char *resource, Ceed *ceed);
152 CEED_EXTERN int CeedGetResource(Ceed ceed, const char **resource);
153 CEED_EXTERN int CeedIsDeterministic(Ceed ceed, bool *isDeterministic);
154 CEED_EXTERN int CeedView(Ceed ceed, FILE *stream);
155 CEED_EXTERN int CeedDestroy(Ceed *ceed);
156 
157 CEED_EXTERN int CeedErrorImpl(Ceed, const char *, int, const char *, int,
158                               const char *, ...);
159 /// Raise an error on ceed object
160 ///
161 /// @param ceed Ceed library context or NULL
162 /// @param ecode Error code (int)
163 /// @param ... printf-style format string followed by arguments as needed
164 ///
165 /// @ingroup Ceed
166 /// @sa CeedSetErrorHandler()
167 #if defined(__clang__)
168 /// Use nonstandard ternary to convince the compiler/clang-tidy that this
169 /// function never returns zero.
170 #  define CeedError(ceed, ecode, ...)                                     \
171   (CeedErrorImpl((ceed), __FILE__, __LINE__, __func__, (ecode), __VA_ARGS__) ?: (ecode))
172 #else
173 #  define CeedError(ceed, ecode, ...)                                     \
174   CeedErrorImpl((ceed), __FILE__, __LINE__, __func__, (ecode), __VA_ARGS__) ?: (ecode)
175 #endif
176 
177 /// Ceed error handlers
178 CEED_EXTERN int CeedErrorReturn(Ceed, const char *, int, const char *, int,
179                                 const char *, va_list *);
180 CEED_EXTERN int CeedErrorStore(Ceed, const char *, int, const char *, int,
181                                const char *, va_list *);
182 CEED_EXTERN int CeedErrorAbort(Ceed, const char *, int, const char *, int,
183                                const char *, va_list *);
184 CEED_EXTERN int CeedErrorExit(Ceed, const char *, int, const char *, int,
185                               const char *, va_list *);
186 CEED_EXTERN int CeedSetErrorHandler(Ceed ceed,
187                                     int (*eh)(Ceed, const char *, int,
188                                         const char *, int, const char *,
189                                         va_list *));
190 CEED_EXTERN int CeedGetErrorMessage(Ceed, const char **errmsg);
191 CEED_EXTERN int CeedResetErrorMessage(Ceed, const char **errmsg);
192 
193 /// Specify memory type
194 ///
195 /// Many Ceed interfaces take or return pointers to memory.  This enum is used to
196 /// specify where the memory being provided or requested must reside.
197 /// @ingroup Ceed
198 typedef enum {
199   /// Memory resides on the host
200   CEED_MEM_HOST,
201   /// Memory resides on a device (corresponding to \ref Ceed resource)
202   CEED_MEM_DEVICE,
203 } CeedMemType;
204 
205 CEED_EXTERN const char *const CeedMemTypes[];
206 
207 CEED_EXTERN int CeedGetPreferredMemType(Ceed ceed, CeedMemType *type);
208 
209 /// Conveys ownership status of arrays passed to Ceed interfaces.
210 /// @ingroup Ceed
211 typedef enum {
212   /// Implementation will copy the values and not store the passed pointer.
213   CEED_COPY_VALUES,
214   /// Implementation can use and modify the data provided by the user, but does
215   /// not take ownership.
216   CEED_USE_POINTER,
217   /// Implementation takes ownership of the pointer and will free using
218   /// CeedFree() when done using it.  The user should not assume that the
219   /// pointer remains valid after ownership has been transferred.  Note that
220   /// arrays allocated using C++ operator new or other allocators cannot
221   /// generally be freed using CeedFree().  CeedFree() is capable of freeing any
222   /// memory that can be freed using free(3).
223   CEED_OWN_POINTER,
224 } CeedCopyMode;
225 
226 /// Denotes type of vector norm to be computed
227 /// @ingroup CeedVector
228 typedef enum {
229   /// L_1 norm: sum_i |x_i|
230   CEED_NORM_1,
231   /// L_2 norm: sqrt(sum_i |x_i|^2)
232   CEED_NORM_2,
233   /// L_Infinity norm: max_i |x_i|
234   CEED_NORM_MAX,
235 } CeedNormType;
236 
237 CEED_EXTERN const char *const CeedCopyModes[];
238 
239 CEED_EXTERN int CeedVectorCreate(Ceed ceed, CeedInt len, CeedVector *vec);
240 CEED_EXTERN int CeedVectorSetArray(CeedVector vec, CeedMemType mtype,
241                                    CeedCopyMode cmode, CeedScalar *array);
242 CEED_EXTERN int CeedVectorSetValue(CeedVector vec, CeedScalar value);
243 CEED_EXTERN int CeedVectorSyncArray(CeedVector vec, CeedMemType mtype);
244 CEED_EXTERN int CeedVectorTakeArray(CeedVector vec, CeedMemType mtype,
245                                     CeedScalar **array);
246 CEED_EXTERN int CeedVectorGetArray(CeedVector vec, CeedMemType mtype,
247                                    CeedScalar **array);
248 CEED_EXTERN int CeedVectorGetArrayRead(CeedVector vec, CeedMemType mtype,
249                                        const CeedScalar **array);
250 CEED_EXTERN int CeedVectorRestoreArray(CeedVector vec, CeedScalar **array);
251 CEED_EXTERN int CeedVectorRestoreArrayRead(CeedVector vec,
252     const CeedScalar **array);
253 CEED_EXTERN int CeedVectorNorm(CeedVector vec, CeedNormType type,
254                                CeedScalar *norm);
255 CEED_EXTERN int CeedVectorReciprocal(CeedVector vec);
256 CEED_EXTERN int CeedVectorView(CeedVector vec, const char *fpfmt, FILE *stream);
257 CEED_EXTERN int CeedVectorGetLength(CeedVector vec, CeedInt *length);
258 CEED_EXTERN int CeedVectorDestroy(CeedVector *vec);
259 
260 CEED_EXTERN CeedRequest *const CEED_REQUEST_IMMEDIATE;
261 CEED_EXTERN CeedRequest *const CEED_REQUEST_ORDERED;
262 CEED_EXTERN int CeedRequestWait(CeedRequest *req);
263 
264 /// Argument for CeedOperatorSetField that vector is collocated with
265 /// quadrature points, used with QFunction eval mode CEED_EVAL_NONE
266 /// or CEED_EVAL_INTERP only, not with CEED_EVAL_GRAD, CEED_EVAL_DIV,
267 /// or CEED_EVAL_CURL
268 /// @ingroup CeedBasis
269 CEED_EXTERN const CeedBasis CEED_BASIS_COLLOCATED;
270 
271 /// Argument for CeedOperatorSetField to use active input or output
272 /// @ingroup CeedVector
273 CEED_EXTERN const CeedVector CEED_VECTOR_ACTIVE;
274 
275 /// Argument for CeedOperatorSetField to use no vector, used with
276 /// qfunction input with eval mode CEED_EVAL_WEIGHT
277 /// @ingroup CeedVector
278 CEED_EXTERN const CeedVector CEED_VECTOR_NONE;
279 
280 /// Argument for CeedOperatorSetField to use no ElemRestriction, only used with
281 /// eval mode CEED_EVAL_WEIGHT.
282 /// @ingroup CeedElemRestriction
283 CEED_EXTERN const CeedElemRestriction CEED_ELEMRESTRICTION_NONE;
284 
285 /// Argument for CeedOperatorCreate that QFunction is not created by user.
286 /// Only used for QFunctions dqf and dqfT. If implemented, a backend may
287 /// attempt to provide the action of these QFunctions.
288 /// @ingroup CeedQFunction
289 CEED_EXTERN const CeedQFunction CEED_QFUNCTION_NONE;
290 
291 /// Denotes whether a linear transformation or its transpose should be applied
292 /// @ingroup CeedBasis
293 typedef enum {
294   /// Apply the linear transformation
295   CEED_NOTRANSPOSE,
296   /// Apply the transpose
297   CEED_TRANSPOSE
298 } CeedTransposeMode;
299 
300 CEED_EXTERN const char *const CeedTransposeModes[];
301 
302 /// Argument for CeedElemRestrictionCreateStrided that L-vector is in
303 /// the Ceed backend's preferred layout. This argument should only be used
304 /// with vectors created by a Ceed backend.
305 /// @ingroup CeedElemRestriction
306 CEED_EXTERN const CeedInt CEED_STRIDES_BACKEND[3];
307 
308 CEED_EXTERN int CeedElemRestrictionCreate(Ceed ceed, CeedInt nelem,
309     CeedInt elemsize, CeedInt ncomp, CeedInt compstride, CeedInt lsize,
310     CeedMemType mtype, CeedCopyMode cmode, const CeedInt *offsets,
311     CeedElemRestriction *rstr);
312 CEED_EXTERN int CeedElemRestrictionCreateStrided(Ceed ceed,
313     CeedInt nelem, CeedInt elemsize, CeedInt ncomp, CeedInt lsize,
314     const CeedInt strides[3], CeedElemRestriction *rstr);
315 CEED_EXTERN int CeedElemRestrictionCreateBlocked(Ceed ceed, CeedInt nelem,
316     CeedInt elemsize, CeedInt blksize, CeedInt ncomp, CeedInt compstride,
317     CeedInt lsize, CeedMemType mtype, CeedCopyMode cmode,
318     const CeedInt *offsets, CeedElemRestriction *rstr);
319 CEED_EXTERN int CeedElemRestrictionCreateBlockedStrided(Ceed ceed,
320     CeedInt nelem, CeedInt elemsize, CeedInt blksize, CeedInt ncomp,
321     CeedInt lsize, const CeedInt strides[3], CeedElemRestriction *rstr);
322 CEED_EXTERN int CeedElemRestrictionCreateVector(CeedElemRestriction rstr,
323     CeedVector *lvec, CeedVector *evec);
324 CEED_EXTERN int CeedElemRestrictionApply(CeedElemRestriction rstr,
325     CeedTransposeMode tmode, CeedVector u, CeedVector ru, CeedRequest *request);
326 CEED_EXTERN int CeedElemRestrictionApplyBlock(CeedElemRestriction rstr,
327     CeedInt block, CeedTransposeMode tmode, CeedVector u, CeedVector ru,
328     CeedRequest *request);
329 CEED_EXTERN int CeedElemRestrictionGetCompStride(CeedElemRestriction rstr,
330     CeedInt *compstride);
331 CEED_EXTERN int CeedElemRestrictionGetNumElements(CeedElemRestriction rstr,
332     CeedInt *numelem);
333 CEED_EXTERN int CeedElemRestrictionGetElementSize(CeedElemRestriction rstr,
334     CeedInt *elemsize);
335 CEED_EXTERN int CeedElemRestrictionGetLVectorSize(CeedElemRestriction rstr,
336     CeedInt *lsize);
337 CEED_EXTERN int CeedElemRestrictionGetNumComponents(CeedElemRestriction rstr,
338     CeedInt *numcomp);
339 CEED_EXTERN int CeedElemRestrictionGetNumBlocks(CeedElemRestriction rstr,
340     CeedInt *numblk);
341 CEED_EXTERN int CeedElemRestrictionGetBlockSize(CeedElemRestriction rstr,
342     CeedInt *blksize);
343 CEED_EXTERN int CeedElemRestrictionGetMultiplicity(CeedElemRestriction rstr,
344     CeedVector mult);
345 CEED_EXTERN int CeedElemRestrictionView(CeedElemRestriction rstr, FILE *stream);
346 CEED_EXTERN int CeedElemRestrictionDestroy(CeedElemRestriction *rstr);
347 
348 // The formalism here is that we have the structure
349 //  \int_\Omega v^T f_0(u, \nabla u, qdata) + (\nabla v)^T f_1(u, \nabla u, qdata)
350 // where gradients are with respect to the reference element.
351 
352 /// Basis evaluation mode
353 ///
354 /// Modes can be bitwise ORed when passing to most functions.
355 /// @ingroup CeedBasis
356 typedef enum {
357   /// Perform no evaluation (either because there is no data or it is already at
358   /// quadrature points)
359   CEED_EVAL_NONE   = 0,
360   /// Interpolate from nodes to quadrature points
361   CEED_EVAL_INTERP = 1,
362   /// Evaluate gradients at quadrature points from input in a nodal basis
363   CEED_EVAL_GRAD   = 2,
364   /// Evaluate divergence at quadrature points from input in a nodal basis
365   CEED_EVAL_DIV    = 4,
366   /// Evaluate curl at quadrature points from input in a nodal basis
367   CEED_EVAL_CURL   = 8,
368   /// Using no input, evaluate quadrature weights on the reference element
369   CEED_EVAL_WEIGHT = 16,
370 } CeedEvalMode;
371 
372 CEED_EXTERN const char *const CeedEvalModes[];
373 
374 /// Type of quadrature; also used for location of nodes
375 /// @ingroup CeedBasis
376 typedef enum {
377   /// Gauss-Legendre quadrature
378   CEED_GAUSS = 0,
379   /// Gauss-Legendre-Lobatto quadrature
380   CEED_GAUSS_LOBATTO = 1,
381 } CeedQuadMode;
382 
383 CEED_EXTERN const char *const CeedQuadModes[];
384 
385 /// Type of basis shape to create non-tensor H1 element basis
386 ///
387 /// Dimension can be extracted with bitwise AND
388 /// (CeedElemTopology & 2**(dim + 2)) == TRUE
389 /// @ingroup CeedBasis
390 typedef enum {
391   /// Line
392   CEED_LINE = 1 << 16 | 0,
393   /// Triangle - 2D shape
394   CEED_TRIANGLE = 2 << 16 | 1,
395   /// Quadralateral - 2D shape
396   CEED_QUAD = 2 << 16 | 2,
397   /// Tetrahedron - 3D shape
398   CEED_TET = 3 << 16 | 3,
399   /// Pyramid - 3D shape
400   CEED_PYRAMID = 3 << 16 | 4,
401   /// Prism - 3D shape
402   CEED_PRISM = 3 << 16 | 5,
403   /// Hexehedron - 3D shape
404   CEED_HEX = 3 << 16 | 6,
405 } CeedElemTopology;
406 
407 CEED_EXTERN const char *const CeedElemTopologies[];
408 
409 CEED_EXTERN int CeedBasisCreateTensorH1Lagrange(Ceed ceed, CeedInt dim,
410     CeedInt ncomp, CeedInt P, CeedInt Q, CeedQuadMode qmode, CeedBasis *basis);
411 CEED_EXTERN int CeedBasisCreateTensorH1(Ceed ceed, CeedInt dim, CeedInt ncomp,
412                                         CeedInt P1d, CeedInt Q1d,
413                                         const CeedScalar *interp1d,
414                                         const CeedScalar *grad1d,
415                                         const CeedScalar *qref1d,
416                                         const CeedScalar *qweight1d,
417                                         CeedBasis *basis);
418 CEED_EXTERN int CeedBasisCreateH1(Ceed ceed, CeedElemTopology topo,
419                                   CeedInt ncomp,
420                                   CeedInt nnodes, CeedInt nqpts,
421                                   const CeedScalar *interp,
422                                   const CeedScalar *grad,
423                                   const CeedScalar *qref,
424                                   const CeedScalar *qweight, CeedBasis *basis);
425 CEED_EXTERN int CeedBasisView(CeedBasis basis, FILE *stream);
426 CEED_EXTERN int CeedBasisApply(CeedBasis basis, CeedInt nelem,
427                                CeedTransposeMode tmode,
428                                CeedEvalMode emode, CeedVector u, CeedVector v);
429 CEED_EXTERN int CeedBasisGetDimension(CeedBasis basis, CeedInt *dim);
430 CEED_EXTERN int CeedBasisGetTopology(CeedBasis basis, CeedElemTopology *topo);
431 CEED_EXTERN int CeedBasisGetNumComponents(CeedBasis basis, CeedInt *numcomp);
432 CEED_EXTERN int CeedBasisGetNumNodes(CeedBasis basis, CeedInt *P);
433 CEED_EXTERN int CeedBasisGetNumNodes1D(CeedBasis basis, CeedInt *P1d);
434 CEED_EXTERN int CeedBasisGetNumQuadraturePoints(CeedBasis basis, CeedInt *Q);
435 CEED_EXTERN int CeedBasisGetNumQuadraturePoints1D(CeedBasis basis,
436     CeedInt *Q1d);
437 CEED_EXTERN int CeedBasisGetQRef(CeedBasis basis, const CeedScalar **qref);
438 CEED_EXTERN int CeedBasisGetQWeights(CeedBasis basis,
439                                      const CeedScalar **qweight);
440 CEED_EXTERN int CeedBasisGetInterp(CeedBasis basis, const CeedScalar **interp);
441 CEED_EXTERN int CeedBasisGetInterp1D(CeedBasis basis,
442                                      const CeedScalar **interp1d);
443 CEED_EXTERN int CeedBasisGetGrad(CeedBasis basis, const CeedScalar **grad);
444 CEED_EXTERN int CeedBasisGetGrad1D(CeedBasis basis, const CeedScalar **grad1d);
445 CEED_EXTERN int CeedBasisDestroy(CeedBasis *basis);
446 
447 CEED_EXTERN int CeedGaussQuadrature(CeedInt Q, CeedScalar *qref1d,
448                                     CeedScalar *qweight1d);
449 CEED_EXTERN int CeedLobattoQuadrature(CeedInt Q, CeedScalar *qref1d,
450                                       CeedScalar *qweight1d);
451 CEED_EXTERN int CeedQRFactorization(Ceed ceed, CeedScalar *mat, CeedScalar *tau,
452                                     CeedInt m, CeedInt n);
453 CEED_EXTERN int CeedSymmetricSchurDecomposition(Ceed ceed, CeedScalar *mat,
454     CeedScalar *lambda, CeedInt n);
455 CEED_EXTERN int CeedSimultaneousDiagonalization(Ceed ceed, CeedScalar *matA,
456     CeedScalar *matB, CeedScalar *x, CeedScalar *lambda, CeedInt n);
457 
458 /** Handle for the object describing the user CeedQFunction
459 
460  @param ctx user-defined context set using CeedQFunctionSetContext() or NULL
461 
462  @param Q   number of quadrature points at which to evaluate
463 
464  @param in  array of pointers to each input argument in the order provided
465               by the user in CeedQFunctionAddInput().  Each array has shape
466               `[dim, ncomp, Q]` where `dim` is the geometric dimension for
467               \ref CEED_EVAL_GRAD (`dim=1` for \ref CEED_EVAL_INTERP) and
468               `ncomp` is the number of field components (`ncomp=1` for
469               scalar fields).  This results in indexing the `i`th input at
470               quadrature point `j` as `in[i][(d*ncomp + c)*Q + j]`.
471 
472  @param out array of pointers to each output array in the order provided
473               using CeedQFunctionAddOutput().  The shapes are as above for
474               \a in.
475 
476  @return An error code: 0 - success, otherwise - failure
477 
478  @ingroup CeedQFunction
479 **/
480 typedef int (*CeedQFunctionUser)(void *ctx, const CeedInt Q,
481                                  const CeedScalar *const *in,
482                                  CeedScalar *const *out);
483 
484 CEED_EXTERN int CeedQFunctionCreateInterior(Ceed ceed, CeedInt vlength,
485     CeedQFunctionUser f, const char *source, CeedQFunction *qf);
486 CEED_EXTERN int CeedQFunctionCreateInteriorByName(Ceed ceed, const char *name,
487     CeedQFunction *qf);
488 CEED_EXTERN int CeedQFunctionCreateIdentity(Ceed ceed, CeedInt size,
489     CeedEvalMode inmode, CeedEvalMode outmode, CeedQFunction *qf);
490 CEED_EXTERN int CeedQFunctionAddInput(CeedQFunction qf, const char *fieldname,
491                                       CeedInt size, CeedEvalMode emode);
492 CEED_EXTERN int CeedQFunctionAddOutput(CeedQFunction qf, const char *fieldname,
493                                        CeedInt size, CeedEvalMode emode);
494 CEED_EXTERN int CeedQFunctionSetContext(CeedQFunction qf,
495                                         CeedQFunctionContext ctx);
496 CEED_EXTERN int CeedQFunctionView(CeedQFunction qf, FILE *stream);
497 CEED_EXTERN int CeedQFunctionApply(CeedQFunction qf, CeedInt Q,
498                                    CeedVector *u, CeedVector *v);
499 CEED_EXTERN int CeedQFunctionDestroy(CeedQFunction *qf);
500 
501 CEED_EXTERN int CeedQFunctionContextCreate(Ceed ceed,
502     CeedQFunctionContext *ctx);
503 CEED_EXTERN int CeedQFunctionContextSetData(CeedQFunctionContext ctx,
504     CeedMemType mtype, CeedCopyMode cmode, size_t size, void *data);
505 CEED_EXTERN int CeedQFunctionContextGetData(CeedQFunctionContext ctx,
506     CeedMemType mtype,
507     void *data);
508 CEED_EXTERN int CeedQFunctionContextRestoreData(CeedQFunctionContext ctx,
509     void *data);
510 CEED_EXTERN int CeedQFunctionContextView(CeedQFunctionContext ctx,
511     FILE *stream);
512 CEED_EXTERN int CeedQFunctionContextDestroy(CeedQFunctionContext *ctx);
513 
514 CEED_EXTERN int CeedOperatorCreate(Ceed ceed, CeedQFunction qf,
515                                    CeedQFunction dqf, CeedQFunction dqfT,
516                                    CeedOperator *op);
517 CEED_EXTERN int CeedCompositeOperatorCreate(Ceed ceed, CeedOperator *op);
518 CEED_EXTERN int CeedOperatorSetField(CeedOperator op, const char *fieldname,
519                                      CeedElemRestriction r, CeedBasis b,
520                                      CeedVector v);
521 CEED_EXTERN int CeedCompositeOperatorAddSub(CeedOperator compositeop,
522     CeedOperator subop);
523 CEED_EXTERN int CeedOperatorLinearAssembleQFunction(CeedOperator op,
524     CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request);
525 CEED_EXTERN int CeedOperatorLinearAssembleDiagonal(CeedOperator op,
526     CeedVector assembled, CeedRequest *request);
527 CEED_EXTERN int CeedOperatorLinearAssembleAddDiagonal(CeedOperator op,
528     CeedVector assembled, CeedRequest *request);
529 CEED_EXTERN int CeedOperatorLinearAssemblePointBlockDiagonal(CeedOperator op,
530     CeedVector assembled, CeedRequest *request);
531 CEED_EXTERN int CeedOperatorLinearAssembleAddPointBlockDiagonal(CeedOperator op,
532     CeedVector assembled, CeedRequest *request);
533 CEED_EXTERN int CeedOperatorMultigridLevelCreate(CeedOperator opFine,
534     CeedVector PMultFine, CeedElemRestriction rstrCoarse, CeedBasis basisCoarse,
535     CeedOperator *opCoarse, CeedOperator *opProlong, CeedOperator *opRestrict);
536 CEED_EXTERN int CeedOperatorMultigridLevelCreateTensorH1(
537   CeedOperator opFine, CeedVector PMultFine, CeedElemRestriction rstrCoarse,
538   CeedBasis basisCoarse, const CeedScalar *interpCtoF, CeedOperator *opCoarse,
539   CeedOperator *opProlong, CeedOperator *opRestrict);
540 CEED_EXTERN int CeedOperatorMultigridLevelCreateH1(CeedOperator opFine,
541     CeedVector PMultFine, CeedElemRestriction rstrCoarse, CeedBasis basisCoarse,
542     const CeedScalar *interpCtoF, CeedOperator *opCoarse,
543     CeedOperator *opProlong, CeedOperator *opRestrict);
544 CEED_EXTERN int CeedOperatorCreateFDMElementInverse(CeedOperator op,
545     CeedOperator *fdminv, CeedRequest *request);
546 CEED_EXTERN int CeedOperatorView(CeedOperator op, FILE *stream);
547 CEED_EXTERN int CeedOperatorApply(CeedOperator op, CeedVector in,
548                                   CeedVector out, CeedRequest *request);
549 CEED_EXTERN int CeedOperatorApplyAdd(CeedOperator op, CeedVector in,
550                                      CeedVector out, CeedRequest *request);
551 CEED_EXTERN int CeedOperatorDestroy(CeedOperator *op);
552 
553 /**
554   @brief Return integer power
555 
556   @param[in] base   The base to exponentiate
557   @param[in] power  The power to raise the base to
558 
559   @return base^power
560 
561   @ref Utility
562 **/
563 static inline CeedInt CeedIntPow(CeedInt base, CeedInt power) {
564   CeedInt result = 1;
565   while (power) {
566     if (power & 1) result *= base;
567     power >>= 1;
568     base *= base;
569   }
570   return result;
571 }
572 
573 /**
574   @brief Return minimum of two integers
575 
576   @param[in] a  The first integer to compare
577   @param[in] b  The second integer to compare
578 
579   @return The minimum of the two integers
580 
581   @ref Utility
582 **/
583 static inline CeedInt CeedIntMin(CeedInt a, CeedInt b) { return a < b ? a : b; }
584 
585 /**
586   @brief Return maximum of two integers
587 
588   @param[in] a  The first integer to compare
589   @param[in] b  The second integer to compare
590 
591   @return The maximum of the two integers
592 
593   @ref Utility
594 **/
595 static inline CeedInt CeedIntMax(CeedInt a, CeedInt b) { return a > b ? a : b; }
596 
597 // Used to ensure initialization before CeedInit()
598 CEED_EXTERN int CeedRegisterAll(void);
599 // Used to ensure initialization before CeedQFunctionCreate*()
600 CEED_EXTERN int CeedQFunctionRegisterAll(void);
601 
602 #endif
603