xref: /libCEED/include/ceed.h (revision 1070991d337d0be0525e3d5540009010c9db64b9)
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 context data for CeedQFunctions
142 /// @ingroup CeedQFunctionUser
143 typedef struct CeedQFunctionContext_private *CeedQFunctionContext;
144 /// Handle for object describing FE-type operators acting on vectors
145 ///
146 /// Given an element restriction \f$E\f$, basis evaluator \f$B\f$, and
147 ///   quadrature function\f$f\f$, a CeedOperator expresses operations of the form
148 ///   $$ E^T B^T f(B E u) $$
149 ///   acting on the vector \f$u\f$.
150 /// @ingroup CeedOperatorUser
151 typedef struct CeedOperator_private *CeedOperator;
152 
153 CEED_EXTERN int CeedInit(const char *resource, Ceed *ceed);
154 CEED_EXTERN int CeedGetResource(Ceed ceed, const char **resource);
155 CEED_EXTERN int CeedIsDeterministic(Ceed ceed, bool *isDeterministic);
156 CEED_EXTERN int CeedView(Ceed ceed, FILE *stream);
157 CEED_EXTERN int CeedDestroy(Ceed *ceed);
158 
159 CEED_EXTERN int CeedErrorImpl(Ceed, const char *, int, const char *, int,
160                               const char *, ...);
161 /// Raise an error on ceed object
162 ///
163 /// @param ceed Ceed library context or NULL
164 /// @param ecode Error code (int)
165 /// @param ... printf-style format string followed by arguments as needed
166 ///
167 /// @ingroup Ceed
168 /// @sa CeedSetErrorHandler()
169 #if defined(__clang__)
170 /// Use nonstandard ternary to convince the compiler/clang-tidy that this
171 /// function never returns zero.
172 #  define CeedError(ceed, ecode, ...)                                     \
173   (CeedErrorImpl((ceed), __FILE__, __LINE__, __func__, (ecode), __VA_ARGS__) ?: (ecode))
174 #else
175 #  define CeedError(ceed, ecode, ...)                                     \
176   CeedErrorImpl((ceed), __FILE__, __LINE__, __func__, (ecode), __VA_ARGS__) ?: (ecode)
177 #endif
178 
179 /// Ceed error handlers
180 CEED_EXTERN int CeedErrorReturn(Ceed, const char *, int, const char *, int,
181                                 const char *, va_list *);
182 CEED_EXTERN int CeedErrorStore(Ceed, const char *, int, const char *, int,
183                                const char *, va_list *);
184 CEED_EXTERN int CeedErrorAbort(Ceed, const char *, int, const char *, int,
185                                const char *, va_list *);
186 CEED_EXTERN int CeedErrorExit(Ceed, const char *, int, const char *, int,
187                               const char *, va_list *);
188 CEED_EXTERN int CeedSetErrorHandler(Ceed ceed,
189                                     int (*eh)(Ceed, const char *, int,
190                                         const char *, int, const char *,
191                                         va_list *));
192 CEED_EXTERN int CeedGetErrorMessage(Ceed, const char **errmsg);
193 CEED_EXTERN int CeedResetErrorMessage(Ceed, const char **errmsg);
194 
195 /// libCEED library version numbering
196 /// @ingroup Ceed
197 #define CEED_VERSION_MAJOR 0
198 #define CEED_VERSION_MINOR 7
199 #define CEED_VERSION_PATCH 0
200 #define CEED_VERSION_RELEASE false
201 
202 /// Compile-time check that the the current library version is at least as
203 /// recent as the specified version. This macro is typically used in
204 /// @code
205 /// #if CEED_VERSION_GE(0, 8, 0)
206 ///   code path that needs at least 0.8.0
207 /// #else
208 ///   fallback code for older versions
209 /// #endif
210 /// @endcode
211 ///
212 /// A non-release version always compares as positive infinity.
213 ///
214 /// @param major   Major version
215 /// @param minor   Minor version
216 /// @param patch   Patch (subminor) version
217 ///
218 /// @ingroup Ceed
219 /// @sa CeedGetVersion()
220 #define CEED_VERSION_GE(major, minor, patch)                                   \
221   (!CEED_VERSION_RELEASE ||                                                    \
222    (CEED_VERSION_MAJOR > major ||                                              \
223     (CEED_VERSION_MAJOR == major &&                                            \
224      (CEED_VERSION_MINOR > minor ||                                            \
225       (CEED_VERSION_MINOR == minor && CEED_VERSION_PATCH >= patch)))))
226 
227 CEED_EXTERN int CeedGetVersion(int *major, int *minor, int *patch,
228                                bool *release);
229 
230 /// Specify memory type
231 ///
232 /// Many Ceed interfaces take or return pointers to memory.  This enum is used to
233 /// specify where the memory being provided or requested must reside.
234 /// @ingroup Ceed
235 typedef enum {
236   /// Memory resides on the host
237   CEED_MEM_HOST,
238   /// Memory resides on a device (corresponding to \ref Ceed resource)
239   CEED_MEM_DEVICE,
240 } CeedMemType;
241 
242 CEED_EXTERN const char *const CeedMemTypes[];
243 
244 CEED_EXTERN int CeedGetPreferredMemType(Ceed ceed, CeedMemType *type);
245 
246 /// Conveys ownership status of arrays passed to Ceed interfaces.
247 /// @ingroup Ceed
248 typedef enum {
249   /// Implementation will copy the values and not store the passed pointer.
250   CEED_COPY_VALUES,
251   /// Implementation can use and modify the data provided by the user, but does
252   /// not take ownership.
253   CEED_USE_POINTER,
254   /// Implementation takes ownership of the pointer and will free using
255   /// CeedFree() when done using it.  The user should not assume that the
256   /// pointer remains valid after ownership has been transferred.  Note that
257   /// arrays allocated using C++ operator new or other allocators cannot
258   /// generally be freed using CeedFree().  CeedFree() is capable of freeing any
259   /// memory that can be freed using free(3).
260   CEED_OWN_POINTER,
261 } CeedCopyMode;
262 
263 /// Denotes type of vector norm to be computed
264 /// @ingroup CeedVector
265 typedef enum {
266   /// L_1 norm: sum_i |x_i|
267   CEED_NORM_1,
268   /// L_2 norm: sqrt(sum_i |x_i|^2)
269   CEED_NORM_2,
270   /// L_Infinity norm: max_i |x_i|
271   CEED_NORM_MAX,
272 } CeedNormType;
273 
274 CEED_EXTERN const char *const CeedCopyModes[];
275 
276 CEED_EXTERN int CeedVectorCreate(Ceed ceed, CeedInt len, CeedVector *vec);
277 CEED_EXTERN int CeedVectorSetArray(CeedVector vec, CeedMemType mtype,
278                                    CeedCopyMode cmode, CeedScalar *array);
279 CEED_EXTERN int CeedVectorSetValue(CeedVector vec, CeedScalar value);
280 CEED_EXTERN int CeedVectorSyncArray(CeedVector vec, CeedMemType mtype);
281 CEED_EXTERN int CeedVectorTakeArray(CeedVector vec, CeedMemType mtype,
282                                     CeedScalar **array);
283 CEED_EXTERN int CeedVectorGetArray(CeedVector vec, CeedMemType mtype,
284                                    CeedScalar **array);
285 CEED_EXTERN int CeedVectorGetArrayRead(CeedVector vec, CeedMemType mtype,
286                                        const CeedScalar **array);
287 CEED_EXTERN int CeedVectorRestoreArray(CeedVector vec, CeedScalar **array);
288 CEED_EXTERN int CeedVectorRestoreArrayRead(CeedVector vec,
289     const CeedScalar **array);
290 CEED_EXTERN int CeedVectorNorm(CeedVector vec, CeedNormType type,
291                                CeedScalar *norm);
292 CEED_EXTERN int CeedVectorReciprocal(CeedVector vec);
293 CEED_EXTERN int CeedVectorView(CeedVector vec, const char *fpfmt, FILE *stream);
294 CEED_EXTERN int CeedVectorGetLength(CeedVector vec, CeedInt *length);
295 CEED_EXTERN int CeedVectorDestroy(CeedVector *vec);
296 
297 CEED_EXTERN CeedRequest *const CEED_REQUEST_IMMEDIATE;
298 CEED_EXTERN CeedRequest *const CEED_REQUEST_ORDERED;
299 CEED_EXTERN int CeedRequestWait(CeedRequest *req);
300 
301 /// Argument for CeedOperatorSetField that vector is collocated with
302 /// quadrature points, used with QFunction eval mode CEED_EVAL_NONE
303 /// or CEED_EVAL_INTERP only, not with CEED_EVAL_GRAD, CEED_EVAL_DIV,
304 /// or CEED_EVAL_CURL
305 /// @ingroup CeedBasis
306 CEED_EXTERN const CeedBasis CEED_BASIS_COLLOCATED;
307 
308 /// Argument for CeedOperatorSetField to use active input or output
309 /// @ingroup CeedVector
310 CEED_EXTERN const CeedVector CEED_VECTOR_ACTIVE;
311 
312 /// Argument for CeedOperatorSetField to use no vector, used with
313 /// qfunction input with eval mode CEED_EVAL_WEIGHT
314 /// @ingroup CeedVector
315 CEED_EXTERN const CeedVector CEED_VECTOR_NONE;
316 
317 /// Argument for CeedOperatorSetField to use no ElemRestriction, only used with
318 /// eval mode CEED_EVAL_WEIGHT.
319 /// @ingroup CeedElemRestriction
320 CEED_EXTERN const CeedElemRestriction CEED_ELEMRESTRICTION_NONE;
321 
322 /// Argument for CeedOperatorCreate that QFunction is not created by user.
323 /// Only used for QFunctions dqf and dqfT. If implemented, a backend may
324 /// attempt to provide the action of these QFunctions.
325 /// @ingroup CeedQFunction
326 CEED_EXTERN const CeedQFunction CEED_QFUNCTION_NONE;
327 
328 /// Denotes whether a linear transformation or its transpose should be applied
329 /// @ingroup CeedBasis
330 typedef enum {
331   /// Apply the linear transformation
332   CEED_NOTRANSPOSE,
333   /// Apply the transpose
334   CEED_TRANSPOSE
335 } CeedTransposeMode;
336 
337 CEED_EXTERN const char *const CeedTransposeModes[];
338 
339 /// Argument for CeedElemRestrictionCreateStrided that L-vector is in
340 /// the Ceed backend's preferred layout. This argument should only be used
341 /// with vectors created by a Ceed backend.
342 /// @ingroup CeedElemRestriction
343 CEED_EXTERN const CeedInt CEED_STRIDES_BACKEND[3];
344 
345 CEED_EXTERN int CeedElemRestrictionCreate(Ceed ceed, CeedInt nelem,
346     CeedInt elemsize, CeedInt ncomp, CeedInt compstride, CeedInt lsize,
347     CeedMemType mtype, CeedCopyMode cmode, const CeedInt *offsets,
348     CeedElemRestriction *rstr);
349 CEED_EXTERN int CeedElemRestrictionCreateStrided(Ceed ceed,
350     CeedInt nelem, CeedInt elemsize, CeedInt ncomp, CeedInt lsize,
351     const CeedInt strides[3], CeedElemRestriction *rstr);
352 CEED_EXTERN int CeedElemRestrictionCreateBlocked(Ceed ceed, CeedInt nelem,
353     CeedInt elemsize, CeedInt blksize, CeedInt ncomp, CeedInt compstride,
354     CeedInt lsize, CeedMemType mtype, CeedCopyMode cmode,
355     const CeedInt *offsets, CeedElemRestriction *rstr);
356 CEED_EXTERN int CeedElemRestrictionCreateBlockedStrided(Ceed ceed,
357     CeedInt nelem, CeedInt elemsize, CeedInt blksize, CeedInt ncomp,
358     CeedInt lsize, const CeedInt strides[3], CeedElemRestriction *rstr);
359 CEED_EXTERN int CeedElemRestrictionCreateVector(CeedElemRestriction rstr,
360     CeedVector *lvec, CeedVector *evec);
361 CEED_EXTERN int CeedElemRestrictionApply(CeedElemRestriction rstr,
362     CeedTransposeMode tmode, CeedVector u, CeedVector ru, CeedRequest *request);
363 CEED_EXTERN int CeedElemRestrictionApplyBlock(CeedElemRestriction rstr,
364     CeedInt block, CeedTransposeMode tmode, CeedVector u, CeedVector ru,
365     CeedRequest *request);
366 CEED_EXTERN int CeedElemRestrictionGetCompStride(CeedElemRestriction rstr,
367     CeedInt *compstride);
368 CEED_EXTERN int CeedElemRestrictionGetNumElements(CeedElemRestriction rstr,
369     CeedInt *numelem);
370 CEED_EXTERN int CeedElemRestrictionGetElementSize(CeedElemRestriction rstr,
371     CeedInt *elemsize);
372 CEED_EXTERN int CeedElemRestrictionGetLVectorSize(CeedElemRestriction rstr,
373     CeedInt *lsize);
374 CEED_EXTERN int CeedElemRestrictionGetNumComponents(CeedElemRestriction rstr,
375     CeedInt *numcomp);
376 CEED_EXTERN int CeedElemRestrictionGetNumBlocks(CeedElemRestriction rstr,
377     CeedInt *numblk);
378 CEED_EXTERN int CeedElemRestrictionGetBlockSize(CeedElemRestriction rstr,
379     CeedInt *blksize);
380 CEED_EXTERN int CeedElemRestrictionGetMultiplicity(CeedElemRestriction rstr,
381     CeedVector mult);
382 CEED_EXTERN int CeedElemRestrictionView(CeedElemRestriction rstr, FILE *stream);
383 CEED_EXTERN int CeedElemRestrictionDestroy(CeedElemRestriction *rstr);
384 
385 // The formalism here is that we have the structure
386 //  \int_\Omega v^T f_0(u, \nabla u, qdata) + (\nabla v)^T f_1(u, \nabla u, qdata)
387 // where gradients are with respect to the reference element.
388 
389 /// Basis evaluation mode
390 ///
391 /// Modes can be bitwise ORed when passing to most functions.
392 /// @ingroup CeedBasis
393 typedef enum {
394   /// Perform no evaluation (either because there is no data or it is already at
395   /// quadrature points)
396   CEED_EVAL_NONE   = 0,
397   /// Interpolate from nodes to quadrature points
398   CEED_EVAL_INTERP = 1,
399   /// Evaluate gradients at quadrature points from input in a nodal basis
400   CEED_EVAL_GRAD   = 2,
401   /// Evaluate divergence at quadrature points from input in a nodal basis
402   CEED_EVAL_DIV    = 4,
403   /// Evaluate curl at quadrature points from input in a nodal basis
404   CEED_EVAL_CURL   = 8,
405   /// Using no input, evaluate quadrature weights on the reference element
406   CEED_EVAL_WEIGHT = 16,
407 } CeedEvalMode;
408 
409 CEED_EXTERN const char *const CeedEvalModes[];
410 
411 /// Type of quadrature; also used for location of nodes
412 /// @ingroup CeedBasis
413 typedef enum {
414   /// Gauss-Legendre quadrature
415   CEED_GAUSS = 0,
416   /// Gauss-Legendre-Lobatto quadrature
417   CEED_GAUSS_LOBATTO = 1,
418 } CeedQuadMode;
419 
420 CEED_EXTERN const char *const CeedQuadModes[];
421 
422 /// Type of basis shape to create non-tensor H1 element basis
423 ///
424 /// Dimension can be extracted with bitwise AND
425 /// (CeedElemTopology & 2**(dim + 2)) == TRUE
426 /// @ingroup CeedBasis
427 typedef enum {
428   /// Line
429   CEED_LINE = 1 << 16 | 0,
430   /// Triangle - 2D shape
431   CEED_TRIANGLE = 2 << 16 | 1,
432   /// Quadralateral - 2D shape
433   CEED_QUAD = 2 << 16 | 2,
434   /// Tetrahedron - 3D shape
435   CEED_TET = 3 << 16 | 3,
436   /// Pyramid - 3D shape
437   CEED_PYRAMID = 3 << 16 | 4,
438   /// Prism - 3D shape
439   CEED_PRISM = 3 << 16 | 5,
440   /// Hexehedron - 3D shape
441   CEED_HEX = 3 << 16 | 6,
442 } CeedElemTopology;
443 
444 CEED_EXTERN const char *const CeedElemTopologies[];
445 
446 CEED_EXTERN int CeedBasisCreateTensorH1Lagrange(Ceed ceed, CeedInt dim,
447     CeedInt ncomp, CeedInt P, CeedInt Q, CeedQuadMode qmode, CeedBasis *basis);
448 CEED_EXTERN int CeedBasisCreateTensorH1(Ceed ceed, CeedInt dim, CeedInt ncomp,
449                                         CeedInt P1d, CeedInt Q1d,
450                                         const CeedScalar *interp1d,
451                                         const CeedScalar *grad1d,
452                                         const CeedScalar *qref1d,
453                                         const CeedScalar *qweight1d,
454                                         CeedBasis *basis);
455 CEED_EXTERN int CeedBasisCreateH1(Ceed ceed, CeedElemTopology topo,
456                                   CeedInt ncomp,
457                                   CeedInt nnodes, CeedInt nqpts,
458                                   const CeedScalar *interp,
459                                   const CeedScalar *grad,
460                                   const CeedScalar *qref,
461                                   const CeedScalar *qweight, CeedBasis *basis);
462 CEED_EXTERN int CeedBasisView(CeedBasis basis, FILE *stream);
463 CEED_EXTERN int CeedBasisApply(CeedBasis basis, CeedInt nelem,
464                                CeedTransposeMode tmode,
465                                CeedEvalMode emode, CeedVector u, CeedVector v);
466 CEED_EXTERN int CeedBasisGetDimension(CeedBasis basis, CeedInt *dim);
467 CEED_EXTERN int CeedBasisGetTopology(CeedBasis basis, CeedElemTopology *topo);
468 CEED_EXTERN int CeedBasisGetNumComponents(CeedBasis basis, CeedInt *numcomp);
469 CEED_EXTERN int CeedBasisGetNumNodes(CeedBasis basis, CeedInt *P);
470 CEED_EXTERN int CeedBasisGetNumNodes1D(CeedBasis basis, CeedInt *P1d);
471 CEED_EXTERN int CeedBasisGetNumQuadraturePoints(CeedBasis basis, CeedInt *Q);
472 CEED_EXTERN int CeedBasisGetNumQuadraturePoints1D(CeedBasis basis,
473     CeedInt *Q1d);
474 CEED_EXTERN int CeedBasisGetQRef(CeedBasis basis, const CeedScalar **qref);
475 CEED_EXTERN int CeedBasisGetQWeights(CeedBasis basis,
476                                      const CeedScalar **qweight);
477 CEED_EXTERN int CeedBasisGetInterp(CeedBasis basis, const CeedScalar **interp);
478 CEED_EXTERN int CeedBasisGetInterp1D(CeedBasis basis,
479                                      const CeedScalar **interp1d);
480 CEED_EXTERN int CeedBasisGetGrad(CeedBasis basis, const CeedScalar **grad);
481 CEED_EXTERN int CeedBasisGetGrad1D(CeedBasis basis, const CeedScalar **grad1d);
482 CEED_EXTERN int CeedBasisDestroy(CeedBasis *basis);
483 
484 CEED_EXTERN int CeedGaussQuadrature(CeedInt Q, CeedScalar *qref1d,
485                                     CeedScalar *qweight1d);
486 CEED_EXTERN int CeedLobattoQuadrature(CeedInt Q, CeedScalar *qref1d,
487                                       CeedScalar *qweight1d);
488 CEED_EXTERN int CeedQRFactorization(Ceed ceed, CeedScalar *mat, CeedScalar *tau,
489                                     CeedInt m, CeedInt n);
490 CEED_EXTERN int CeedSymmetricSchurDecomposition(Ceed ceed, CeedScalar *mat,
491     CeedScalar *lambda, CeedInt n);
492 CEED_EXTERN int CeedSimultaneousDiagonalization(Ceed ceed, CeedScalar *matA,
493     CeedScalar *matB, CeedScalar *x, CeedScalar *lambda, CeedInt n);
494 
495 /** Handle for the object describing the user CeedQFunction
496 
497  @param ctx user-defined context set using CeedQFunctionSetContext() or NULL
498 
499  @param Q   number of quadrature points at which to evaluate
500 
501  @param in  array of pointers to each input argument in the order provided
502               by the user in CeedQFunctionAddInput().  Each array has shape
503               `[dim, ncomp, Q]` where `dim` is the geometric dimension for
504               \ref CEED_EVAL_GRAD (`dim=1` for \ref CEED_EVAL_INTERP) and
505               `ncomp` is the number of field components (`ncomp=1` for
506               scalar fields).  This results in indexing the `i`th input at
507               quadrature point `j` as `in[i][(d*ncomp + c)*Q + j]`.
508 
509  @param out array of pointers to each output array in the order provided
510               using CeedQFunctionAddOutput().  The shapes are as above for
511               \a in.
512 
513  @return An error code: 0 - success, otherwise - failure
514 
515  @ingroup CeedQFunction
516 **/
517 typedef int (*CeedQFunctionUser)(void *ctx, const CeedInt Q,
518                                  const CeedScalar *const *in,
519                                  CeedScalar *const *out);
520 
521 CEED_EXTERN int CeedQFunctionCreateInterior(Ceed ceed, CeedInt vlength,
522     CeedQFunctionUser f, const char *source, CeedQFunction *qf);
523 CEED_EXTERN int CeedQFunctionCreateInteriorByName(Ceed ceed, const char *name,
524     CeedQFunction *qf);
525 CEED_EXTERN int CeedQFunctionCreateIdentity(Ceed ceed, CeedInt size,
526     CeedEvalMode inmode, CeedEvalMode outmode, CeedQFunction *qf);
527 CEED_EXTERN int CeedQFunctionAddInput(CeedQFunction qf, const char *fieldname,
528                                       CeedInt size, CeedEvalMode emode);
529 CEED_EXTERN int CeedQFunctionAddOutput(CeedQFunction qf, const char *fieldname,
530                                        CeedInt size, CeedEvalMode emode);
531 CEED_EXTERN int CeedQFunctionSetContext(CeedQFunction qf,
532                                         CeedQFunctionContext ctx);
533 CEED_EXTERN int CeedQFunctionView(CeedQFunction qf, FILE *stream);
534 CEED_EXTERN int CeedQFunctionApply(CeedQFunction qf, CeedInt Q,
535                                    CeedVector *u, CeedVector *v);
536 CEED_EXTERN int CeedQFunctionDestroy(CeedQFunction *qf);
537 
538 CEED_EXTERN int CeedQFunctionContextCreate(Ceed ceed,
539     CeedQFunctionContext *ctx);
540 CEED_EXTERN int CeedQFunctionContextSetData(CeedQFunctionContext ctx,
541     CeedMemType mtype, CeedCopyMode cmode, size_t size, void *data);
542 CEED_EXTERN int CeedQFunctionContextGetData(CeedQFunctionContext ctx,
543     CeedMemType mtype,
544     void *data);
545 CEED_EXTERN int CeedQFunctionContextRestoreData(CeedQFunctionContext ctx,
546     void *data);
547 CEED_EXTERN int CeedQFunctionContextView(CeedQFunctionContext ctx,
548     FILE *stream);
549 CEED_EXTERN int CeedQFunctionContextDestroy(CeedQFunctionContext *ctx);
550 
551 CEED_EXTERN int CeedOperatorCreate(Ceed ceed, CeedQFunction qf,
552                                    CeedQFunction dqf, CeedQFunction dqfT,
553                                    CeedOperator *op);
554 CEED_EXTERN int CeedCompositeOperatorCreate(Ceed ceed, CeedOperator *op);
555 CEED_EXTERN int CeedOperatorSetField(CeedOperator op, const char *fieldname,
556                                      CeedElemRestriction r, CeedBasis b,
557                                      CeedVector v);
558 CEED_EXTERN int CeedCompositeOperatorAddSub(CeedOperator compositeop,
559     CeedOperator subop);
560 CEED_EXTERN int CeedOperatorLinearAssembleQFunction(CeedOperator op,
561     CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request);
562 CEED_EXTERN int CeedOperatorLinearAssembleDiagonal(CeedOperator op,
563     CeedVector assembled, CeedRequest *request);
564 CEED_EXTERN int CeedOperatorLinearAssembleAddDiagonal(CeedOperator op,
565     CeedVector assembled, CeedRequest *request);
566 CEED_EXTERN int CeedOperatorLinearAssemblePointBlockDiagonal(CeedOperator op,
567     CeedVector assembled, CeedRequest *request);
568 CEED_EXTERN int CeedOperatorLinearAssembleAddPointBlockDiagonal(CeedOperator op,
569     CeedVector assembled, CeedRequest *request);
570 CEED_EXTERN int CeedOperatorMultigridLevelCreate(CeedOperator opFine,
571     CeedVector PMultFine, CeedElemRestriction rstrCoarse, CeedBasis basisCoarse,
572     CeedOperator *opCoarse, CeedOperator *opProlong, CeedOperator *opRestrict);
573 CEED_EXTERN int CeedOperatorMultigridLevelCreateTensorH1(
574   CeedOperator opFine, CeedVector PMultFine, CeedElemRestriction rstrCoarse,
575   CeedBasis basisCoarse, const CeedScalar *interpCtoF, CeedOperator *opCoarse,
576   CeedOperator *opProlong, CeedOperator *opRestrict);
577 CEED_EXTERN int CeedOperatorMultigridLevelCreateH1(CeedOperator opFine,
578     CeedVector PMultFine, CeedElemRestriction rstrCoarse, CeedBasis basisCoarse,
579     const CeedScalar *interpCtoF, CeedOperator *opCoarse,
580     CeedOperator *opProlong, CeedOperator *opRestrict);
581 CEED_EXTERN int CeedOperatorCreateFDMElementInverse(CeedOperator op,
582     CeedOperator *fdminv, CeedRequest *request);
583 CEED_EXTERN int CeedOperatorView(CeedOperator op, FILE *stream);
584 CEED_EXTERN int CeedOperatorApply(CeedOperator op, CeedVector in,
585                                   CeedVector out, CeedRequest *request);
586 CEED_EXTERN int CeedOperatorApplyAdd(CeedOperator op, CeedVector in,
587                                      CeedVector out, CeedRequest *request);
588 CEED_EXTERN int CeedOperatorDestroy(CeedOperator *op);
589 
590 /**
591   @brief Return integer power
592 
593   @param[in] base   The base to exponentiate
594   @param[in] power  The power to raise the base to
595 
596   @return base^power
597 
598   @ref Utility
599 **/
600 static inline CeedInt CeedIntPow(CeedInt base, CeedInt power) {
601   CeedInt result = 1;
602   while (power) {
603     if (power & 1) result *= base;
604     power >>= 1;
605     base *= base;
606   }
607   return result;
608 }
609 
610 /**
611   @brief Return minimum of two integers
612 
613   @param[in] a  The first integer to compare
614   @param[in] b  The second integer to compare
615 
616   @return The minimum of the two integers
617 
618   @ref Utility
619 **/
620 static inline CeedInt CeedIntMin(CeedInt a, CeedInt b) { return a < b ? a : b; }
621 
622 /**
623   @brief Return maximum of two integers
624 
625   @param[in] a  The first integer to compare
626   @param[in] b  The second integer to compare
627 
628   @return The maximum of the two integers
629 
630   @ref Utility
631 **/
632 static inline CeedInt CeedIntMax(CeedInt a, CeedInt b) { return a > b ? a : b; }
633 
634 // Used to ensure initialization before CeedInit()
635 CEED_EXTERN int CeedRegisterAll(void);
636 // Used to ensure initialization before CeedQFunctionCreate*()
637 CEED_EXTERN int CeedQFunctionRegisterAll(void);
638 
639 #endif
640