/// Copyright (c) 2017, Lawrence Livermore National Security, LLC. Produced at /// the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights /// reserved. See files LICENSE and NOTICE for details. /// /// This file is part of CEED, a collection of benchmarks, miniapps, software /// libraries and APIs for efficient high-order finite element and spectral /// element discretizations for exascale applications. For more information and /// source code availability see http://github.com/ceed. /// /// The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, /// a collaborative effort of two U.S. Department of Energy organizations (Office /// of Science and the National Nuclear Security Administration) responsible for /// the planning and preparation of a capable exascale ecosystem, including /// software, applications, hardware, advanced system engineering and early /// testbed platforms, in support of the nation's exascale computing imperative. /// @file /// Public header for user and utility components of libCEED #ifndef _ceed_h #define _ceed_h /// @defgroup Ceed Ceed: core components /// @defgroup CeedVector CeedVector: storing and manipulating vectors /// @defgroup CeedElemRestriction CeedElemRestriction: restriction from local vectors to elements /// @defgroup CeedBasis CeedBasis: fully discrete finite element-like objects /// @defgroup CeedQFunction CeedQFunction: independent operations at quadrature points /// @defgroup CeedOperator CeedOperator: composed FE-type operations on vectors /// /// @page FunctionCategories libCEED: Types of Functions /// libCEED provides three different header files depending upon the type of /// functions a user requires. /// @section Utility Utility Functions /// These functions are intended general utilities that may be useful to /// libCEED developers and users. These functions can generally be found in /// "ceed.h". /// @section User User Functions /// These functions are intended to be used by general users of libCEED /// and can generally be found in "ceed.h". /// @section Backend Backend Developer Functions /// These functions are intended to be used by backend developers of /// libCEED and can generally be found in "ceed-backend.h". /// @section Developer Library Developer Functions /// These functions are intended to be used by library developers of /// libCEED and can generally be found in "ceed-impl.h". /** CEED_EXTERN is used in this header to denote all publicly visible symbols. No other file should declare publicly visible symbols, thus it should never be used outside ceed.h. */ #ifdef __cplusplus # define CEED_EXTERN extern "C" #else # define CEED_EXTERN extern #endif /** @ingroup CeedQFunction This macro populates the correct function annotations for User QFunction source for code generation backends or populates default values for CPU backends. **/ #ifndef CEED_QFUNCTION #define CEED_QFUNCTION(name) \ static const char name ## _loc[] = __FILE__ ":" #name; \ static int name #endif /** @ingroup CeedQFunction Using VLA syntax to reshape User QFunction inputs and outputs can make user code more readable. VLA is a C99 feature that is not supported by the C++ dialect used by CUDA. This macro allows users to use the VLA syntax with the CUDA backends. **/ #ifndef CEED_Q_VLA # define CEED_Q_VLA Q #endif /** @ingroup Ceed This macro provides the appropriate SIMD Pragma for the compilation environment. Code generation backends may redefine this macro, as needed. **/ #ifndef CeedPragmaSIMD # if defined(__INTEL_COMPILER) # define CeedPragmaSIMD _Pragma("vector") // Cannot use Intel pragma ivdep because it miscompiles unpacking symmetric tensors, as in // Poisson2DApply, where the SIMD loop body contains temporaries such as the following. // // const CeedScalar dXdxdXdxT[2][2] = {{qd[i+0*Q], qd[i+2*Q]}, // {qd[i+2*Q], qd[i+1*Q]}}; // for (int j=0; j<2; j++) // vg[i+j*Q] = (du[0] * dXdxdXdxT[0][j] + du[1] * dXdxdXdxT[1][j]); // // Miscompilation with pragma ivdep observed with icc (ICC) 19.0.5.281 20190815 // at -O2 and above. # elif defined(__GNUC__) && __GNUC__ >= 5 # define CeedPragmaSIMD _Pragma("GCC ivdep") # elif defined(_OPENMP) && _OPENMP >= 201307 // OpenMP-4.0 (July, 2013) # define CeedPragmaSIMD _Pragma("omp simd") # else # define CeedPragmaSIMD # endif #endif #include #include #include #include #include #include /// Integer type, used for indexing /// @ingroup Ceed typedef int32_t CeedInt; /// Scalar (floating point) type /// @ingroup Ceed typedef double CeedScalar; /// Library context created by CeedInit() /// @ingroup CeedUser typedef struct Ceed_private *Ceed; /// Non-blocking Ceed interfaces return a CeedRequest. /// To perform an operation immediately, pass \ref CEED_REQUEST_IMMEDIATE instead. /// @ingroup CeedUser typedef struct CeedRequest_private *CeedRequest; /// Handle for vectors over the field \ref CeedScalar /// @ingroup CeedVectorUser typedef struct CeedVector_private *CeedVector; /// Handle for object describing restriction to elements /// @ingroup CeedElemRestrictionUser typedef struct CeedElemRestriction_private *CeedElemRestriction; /// Handle for object describing discrete finite element evaluations /// @ingroup CeedBasisUser typedef struct CeedBasis_private *CeedBasis; /// Handle for object describing functions evaluated independently at quadrature points /// @ingroup CeedQFunctionUser typedef struct CeedQFunction_private *CeedQFunction; /// Handle for object describing FE-type operators acting on vectors /// /// Given an element restriction \f$E\f$, basis evaluator \f$B\f$, and /// quadrature function\f$f\f$, a CeedOperator expresses operations of the form /// $$ E^T B^T f(B E u) $$ /// acting on the vector \f$u\f$. /// @ingroup CeedOperatorUser typedef struct CeedOperator_private *CeedOperator; CEED_EXTERN int CeedInit(const char *resource, Ceed *ceed); CEED_EXTERN int CeedGetResource(Ceed ceed, const char **resource); CEED_EXTERN int CeedIsDeterministic(Ceed ceed, bool *isDeterministic); CEED_EXTERN int CeedView(Ceed ceed, FILE *stream); CEED_EXTERN int CeedDestroy(Ceed *ceed); CEED_EXTERN int CeedErrorImpl(Ceed, const char *, int, const char *, int, const char *, ...); /// Raise an error on ceed object /// /// @param ceed Ceed library context or NULL /// @param ecode Error code (int) /// @param ... printf-style format string followed by arguments as needed /// /// @ingroup Ceed /// @sa CeedSetErrorHandler() #if defined(__clang__) /// Use nonstandard ternary to convince the compiler/clang-tidy that this /// function never returns zero. # define CeedError(ceed, ecode, ...) \ (CeedErrorImpl((ceed), __FILE__, __LINE__, __func__, (ecode), __VA_ARGS__) ?: (ecode)) #else # define CeedError(ceed, ecode, ...) \ CeedErrorImpl((ceed), __FILE__, __LINE__, __func__, (ecode), __VA_ARGS__) ?: (ecode) #endif /// Ceed error handlers CEED_EXTERN int CeedErrorReturn(Ceed, const char *, int, const char *, int, const char *, va_list); CEED_EXTERN int CeedErrorStore(Ceed, const char *, int, const char *, int, const char *, va_list); CEED_EXTERN int CeedErrorAbort(Ceed, const char *, int, const char *, int, const char *, va_list); CEED_EXTERN int CeedErrorExit(Ceed, const char *, int, const char *, int, const char *, va_list); CEED_EXTERN int CeedSetErrorHandler(Ceed ceed, int (*eh)(Ceed, const char *, int, const char *, int, const char *, va_list)); CEED_EXTERN int CeedGetErrorMessage(Ceed, const char **errmsg); CEED_EXTERN int CeedResetErrorMessage(Ceed, const char **errmsg); /// Specify memory type /// /// Many Ceed interfaces take or return pointers to memory. This enum is used to /// specify where the memory being provided or requested must reside. /// @ingroup Ceed typedef enum { /// Memory resides on the host CEED_MEM_HOST, /// Memory resides on a device (corresponding to \ref Ceed resource) CEED_MEM_DEVICE, } CeedMemType; CEED_EXTERN const char *const CeedMemTypes[]; CEED_EXTERN int CeedGetPreferredMemType(Ceed ceed, CeedMemType *type); /// Conveys ownership status of arrays passed to Ceed interfaces. /// @ingroup Ceed typedef enum { /// Implementation will copy the values and not store the passed pointer. CEED_COPY_VALUES, /// Implementation can use and modify the data provided by the user, but does /// not take ownership. CEED_USE_POINTER, /// Implementation takes ownership of the pointer and will free using /// CeedFree() when done using it. The user should not assume that the /// pointer remains valid after ownership has been transferred. Note that /// arrays allocated using C++ operator new or other allocators cannot /// generally be freed using CeedFree(). CeedFree() is capable of freeing any /// memory that can be freed using free(3). CEED_OWN_POINTER, } CeedCopyMode; /// Denotes type of vector norm to be computed /// @ingroup CeedVector typedef enum { /// L_1 norm: sum_i |x_i| CEED_NORM_1, /// L_2 norm: sqrt(sum_i |x_i|^2) CEED_NORM_2, /// L_Infinity norm: max_i |x_i| CEED_NORM_MAX, } CeedNormType; CEED_EXTERN const char *const CeedCopyModes[]; CEED_EXTERN int CeedVectorCreate(Ceed ceed, CeedInt len, CeedVector *vec); CEED_EXTERN int CeedVectorSetArray(CeedVector vec, CeedMemType mtype, CeedCopyMode cmode, CeedScalar *array); CEED_EXTERN int CeedVectorSetValue(CeedVector vec, CeedScalar value); CEED_EXTERN int CeedVectorSyncArray(CeedVector vec, CeedMemType mtype); CEED_EXTERN int CeedVectorTakeArray(CeedVector vec, CeedMemType mtype, CeedScalar **array); CEED_EXTERN int CeedVectorGetArray(CeedVector vec, CeedMemType mtype, CeedScalar **array); CEED_EXTERN int CeedVectorGetArrayRead(CeedVector vec, CeedMemType mtype, const CeedScalar **array); CEED_EXTERN int CeedVectorRestoreArray(CeedVector vec, CeedScalar **array); CEED_EXTERN int CeedVectorRestoreArrayRead(CeedVector vec, const CeedScalar **array); CEED_EXTERN int CeedVectorNorm(CeedVector vec, CeedNormType type, CeedScalar *norm); CEED_EXTERN int CeedVectorView(CeedVector vec, const char *fpfmt, FILE *stream); CEED_EXTERN int CeedVectorGetLength(CeedVector vec, CeedInt *length); CEED_EXTERN int CeedVectorDestroy(CeedVector *vec); CEED_EXTERN CeedRequest *const CEED_REQUEST_IMMEDIATE; CEED_EXTERN CeedRequest *const CEED_REQUEST_ORDERED; CEED_EXTERN int CeedRequestWait(CeedRequest *req); /// Argument for CeedOperatorSetField that vector is collocated with /// quadrature points, used with QFunction eval mode CEED_EVAL_NONE /// or CEED_EVAL_INTERP only, not with CEED_EVAL_GRAD, CEED_EVAL_DIV, /// or CEED_EVAL_CURL /// @ingroup CeedBasis CEED_EXTERN const CeedBasis CEED_BASIS_COLLOCATED; /// Argument for CeedOperatorSetField to use active input or output /// @ingroup CeedVector CEED_EXTERN const CeedVector CEED_VECTOR_ACTIVE; /// Argument for CeedOperatorSetField to use no vector, used with /// qfunction input with eval mode CEED_EVAL_WEIGHT /// @ingroup CeedVector CEED_EXTERN const CeedVector CEED_VECTOR_NONE; /// Argument for CeedOperatorSetField to use no ElemRestriction, only used with /// eval mode CEED_EVAL_WEIGHT. /// @ingroup CeedElemRestriction CEED_EXTERN const CeedElemRestriction CEED_ELEMRESTRICTION_NONE; /// Argument for CeedOperatorCreate that QFunction is not created by user. /// Only used for QFunctions dqf and dqfT. If implemented, a backend may /// attempt to provide the action of these QFunctions. /// @ingroup CeedQFunction CEED_EXTERN const CeedQFunction CEED_QFUNCTION_NONE; /// Denotes whether a linear transformation or its transpose should be applied /// @ingroup CeedBasis typedef enum { /// Apply the linear transformation CEED_NOTRANSPOSE, /// Apply the transpose CEED_TRANSPOSE } CeedTransposeMode; CEED_EXTERN const char *const CeedTransposeModes[]; /// Argument for CeedElemRestrictionCreateStrided that L-vector is in /// the Ceed backend's preferred layout. This argument should only be used /// with vectors created by a Ceed backend. /// @ingroup CeedElemRestriction CEED_EXTERN const CeedInt CEED_STRIDES_BACKEND[3]; CEED_EXTERN int CeedElemRestrictionCreate(Ceed ceed, CeedInt nelem, CeedInt elemsize, CeedInt ncomp, CeedInt compstride, CeedInt lsize, CeedMemType mtype, CeedCopyMode cmode, const CeedInt *offsets, CeedElemRestriction *rstr); CEED_EXTERN int CeedElemRestrictionCreateStrided(Ceed ceed, CeedInt nelem, CeedInt elemsize, CeedInt ncomp, CeedInt lsize, const CeedInt strides[3], CeedElemRestriction *rstr); CEED_EXTERN int CeedElemRestrictionCreateBlocked(Ceed ceed, CeedInt nelem, CeedInt elemsize, CeedInt blksize, CeedInt ncomp, CeedInt compstride, CeedInt lsize, CeedMemType mtype, CeedCopyMode cmode, const CeedInt *offsets, CeedElemRestriction *rstr); CEED_EXTERN int CeedElemRestrictionCreateBlockedStrided(Ceed ceed, CeedInt nelem, CeedInt elemsize, CeedInt blksize, CeedInt ncomp, CeedInt lsize, const CeedInt strides[3], CeedElemRestriction *rstr); CEED_EXTERN int CeedElemRestrictionCreateVector(CeedElemRestriction rstr, CeedVector *lvec, CeedVector *evec); CEED_EXTERN int CeedElemRestrictionApply(CeedElemRestriction rstr, CeedTransposeMode tmode, CeedVector u, CeedVector ru, CeedRequest *request); CEED_EXTERN int CeedElemRestrictionApplyBlock(CeedElemRestriction rstr, CeedInt block, CeedTransposeMode tmode, CeedVector u, CeedVector ru, CeedRequest *request); CEED_EXTERN int CeedElemRestrictionGetCompStride(CeedElemRestriction rstr, CeedInt *compstride); CEED_EXTERN int CeedElemRestrictionGetNumElements(CeedElemRestriction rstr, CeedInt *numelem); CEED_EXTERN int CeedElemRestrictionGetElementSize(CeedElemRestriction rstr, CeedInt *elemsize); CEED_EXTERN int CeedElemRestrictionGetLVectorSize(CeedElemRestriction rstr, CeedInt *lsize); CEED_EXTERN int CeedElemRestrictionGetNumComponents(CeedElemRestriction rstr, CeedInt *numcomp); CEED_EXTERN int CeedElemRestrictionGetNumBlocks(CeedElemRestriction rstr, CeedInt *numblk); CEED_EXTERN int CeedElemRestrictionGetBlockSize(CeedElemRestriction rstr, CeedInt *blksize); CEED_EXTERN int CeedElemRestrictionGetMultiplicity(CeedElemRestriction rstr, CeedVector mult); CEED_EXTERN int CeedElemRestrictionView(CeedElemRestriction rstr, FILE *stream); CEED_EXTERN int CeedElemRestrictionDestroy(CeedElemRestriction *rstr); // The formalism here is that we have the structure // \int_\Omega v^T f_0(u, \nabla u, qdata) + (\nabla v)^T f_1(u, \nabla u, qdata) // where gradients are with respect to the reference element. /// Basis evaluation mode /// /// Modes can be bitwise ORed when passing to most functions. /// @ingroup CeedBasis typedef enum { /// Perform no evaluation (either because there is no data or it is already at /// quadrature points) CEED_EVAL_NONE = 0, /// Interpolate from nodes to quadrature points CEED_EVAL_INTERP = 1, /// Evaluate gradients at quadrature points from input in a nodal basis CEED_EVAL_GRAD = 2, /// Evaluate divergence at quadrature points from input in a nodal basis CEED_EVAL_DIV = 4, /// Evaluate curl at quadrature points from input in a nodal basis CEED_EVAL_CURL = 8, /// Using no input, evaluate quadrature weights on the reference element CEED_EVAL_WEIGHT = 16, } CeedEvalMode; CEED_EXTERN const char *const CeedEvalModes[]; /// Type of quadrature; also used for location of nodes /// @ingroup CeedBasis typedef enum { /// Gauss-Legendre quadrature CEED_GAUSS = 0, /// Gauss-Legendre-Lobatto quadrature CEED_GAUSS_LOBATTO = 1, } CeedQuadMode; CEED_EXTERN const char *const CeedQuadModes[]; /// Type of basis shape to create non-tensor H1 element basis /// /// Dimension can be extracted with bitwise AND /// (CeedElemTopology & 2**(dim + 2)) == TRUE /// @ingroup CeedBasis typedef enum { /// Line CEED_LINE = 1 << 16 | 0, /// Triangle - 2D shape CEED_TRIANGLE = 2 << 16 | 1, /// Quadralateral - 2D shape CEED_QUAD = 2 << 16 | 2, /// Tetrahedron - 3D shape CEED_TET = 3 << 16 | 3, /// Pyramid - 3D shape CEED_PYRAMID = 3 << 16 | 4, /// Prism - 3D shape CEED_PRISM = 3 << 16 | 5, /// Hexehedron - 3D shape CEED_HEX = 3 << 16 | 6, } CeedElemTopology; CEED_EXTERN const char *const CeedElemTopologies[]; CEED_EXTERN int CeedBasisCreateTensorH1Lagrange(Ceed ceed, CeedInt dim, CeedInt ncomp, CeedInt P, CeedInt Q, CeedQuadMode qmode, CeedBasis *basis); CEED_EXTERN int CeedBasisCreateTensorH1(Ceed ceed, CeedInt dim, CeedInt ncomp, CeedInt P1d, CeedInt Q1d, const CeedScalar *interp1d, const CeedScalar *grad1d, const CeedScalar *qref1d, const CeedScalar *qweight1d, CeedBasis *basis); CEED_EXTERN int CeedBasisCreateH1(Ceed ceed, CeedElemTopology topo, CeedInt ncomp, CeedInt nnodes, CeedInt nqpts, const CeedScalar *interp, const CeedScalar *grad, const CeedScalar *qref, const CeedScalar *qweight, CeedBasis *basis); CEED_EXTERN int CeedBasisView(CeedBasis basis, FILE *stream); CEED_EXTERN int CeedBasisApply(CeedBasis basis, CeedInt nelem, CeedTransposeMode tmode, CeedEvalMode emode, CeedVector u, CeedVector v); CEED_EXTERN int CeedBasisGetDimension(CeedBasis basis, CeedInt *dim); CEED_EXTERN int CeedBasisGetNumComponents(CeedBasis basis, CeedInt *numcomp); CEED_EXTERN int CeedBasisGetNumNodes(CeedBasis basis, CeedInt *P); CEED_EXTERN int CeedBasisGetNumNodes1D(CeedBasis basis, CeedInt *P1d); CEED_EXTERN int CeedBasisGetNumQuadraturePoints(CeedBasis basis, CeedInt *Q); CEED_EXTERN int CeedBasisGetNumQuadraturePoints1D(CeedBasis basis, CeedInt *Q1d); CEED_EXTERN int CeedBasisGetQRef(CeedBasis basis, const CeedScalar **qref); CEED_EXTERN int CeedBasisGetQWeights(CeedBasis basis, const CeedScalar **qweight); CEED_EXTERN int CeedBasisGetInterp(CeedBasis basis, const CeedScalar **interp); CEED_EXTERN int CeedBasisGetInterp1D(CeedBasis basis, const CeedScalar **interp1d); CEED_EXTERN int CeedBasisGetGrad(CeedBasis basis, const CeedScalar **grad); CEED_EXTERN int CeedBasisGetGrad1D(CeedBasis basis, const CeedScalar **grad1d); CEED_EXTERN int CeedBasisDestroy(CeedBasis *basis); CEED_EXTERN int CeedGaussQuadrature(CeedInt Q, CeedScalar *qref1d, CeedScalar *qweight1d); CEED_EXTERN int CeedLobattoQuadrature(CeedInt Q, CeedScalar *qref1d, CeedScalar *qweight1d); CEED_EXTERN int CeedQRFactorization(Ceed ceed, CeedScalar *mat, CeedScalar *tau, CeedInt m, CeedInt n); CEED_EXTERN int CeedSymmetricSchurDecomposition(Ceed ceed, CeedScalar *mat, CeedScalar *lambda, CeedInt n); CEED_EXTERN int CeedSimultaneousDiagonalization(Ceed ceed, CeedScalar *matA, CeedScalar *matB, CeedScalar *x, CeedScalar *lambda, CeedInt n); /** Handle for the object describing the user CeedQFunction @param ctx user-defined context set using CeedQFunctionSetContext() or NULL @param Q number of quadrature points at which to evaluate @param in array of pointers to each input argument in the order provided by the user in CeedQFunctionAddInput(). Each array has shape `[dim, ncomp, Q]` where `dim` is the geometric dimension for \ref CEED_EVAL_GRAD (`dim=1` for \ref CEED_EVAL_INTERP) and `ncomp` is the number of field components (`ncomp=1` for scalar fields). This results in indexing the `i`th input at quadrature point `j` as `in[i][(d*ncomp + c)*Q + j]`. @param out array of pointers to each output array in the order provided using CeedQFunctionAddOutput(). The shapes are as above for \a in. @return An error code: 0 - success, otherwise - failure @ingroup CeedQFunction **/ typedef int (*CeedQFunctionUser)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out); CEED_EXTERN int CeedQFunctionCreateInterior(Ceed ceed, CeedInt vlength, CeedQFunctionUser f, const char *source, CeedQFunction *qf); CEED_EXTERN int CeedQFunctionCreateInteriorByName(Ceed ceed, const char *name, CeedQFunction *qf); CEED_EXTERN int CeedQFunctionCreateIdentity(Ceed ceed, CeedInt size, CeedEvalMode inmode, CeedEvalMode outmode, CeedQFunction *qf); CEED_EXTERN int CeedQFunctionAddInput(CeedQFunction qf, const char *fieldname, CeedInt size, CeedEvalMode emode); CEED_EXTERN int CeedQFunctionAddOutput(CeedQFunction qf, const char *fieldname, CeedInt size, CeedEvalMode emode); CEED_EXTERN int CeedQFunctionSetContext(CeedQFunction qf, void *ctx, size_t ctxsize); CEED_EXTERN int CeedQFunctionView(CeedQFunction qf, FILE *stream); CEED_EXTERN int CeedQFunctionApply(CeedQFunction qf, CeedInt Q, CeedVector *u, CeedVector *v); CEED_EXTERN int CeedQFunctionDestroy(CeedQFunction *qf); CEED_EXTERN int CeedOperatorCreate(Ceed ceed, CeedQFunction qf, CeedQFunction dqf, CeedQFunction dqfT, CeedOperator *op); CEED_EXTERN int CeedCompositeOperatorCreate(Ceed ceed, CeedOperator *op); CEED_EXTERN int CeedOperatorSetField(CeedOperator op, const char *fieldname, CeedElemRestriction r, CeedBasis b, CeedVector v); CEED_EXTERN int CeedCompositeOperatorAddSub(CeedOperator compositeop, CeedOperator subop); CEED_EXTERN int CeedOperatorLinearAssembleQFunction(CeedOperator op, CeedVector *assembled, CeedElemRestriction *rstr, CeedRequest *request); CEED_EXTERN int CeedOperatorLinearAssembleDiagonal(CeedOperator op, CeedVector assembled, CeedRequest *request); CEED_EXTERN int CeedOperatorLinearAssembleAddDiagonal(CeedOperator op, CeedVector assembled, CeedRequest *request); CEED_EXTERN int CeedOperatorLinearAssemblePointBlockDiagonal(CeedOperator op, CeedVector assembled, CeedRequest *request); CEED_EXTERN int CeedOperatorLinearAssembleAddPointBlockDiagonal(CeedOperator op, CeedVector assembled, CeedRequest *request); CEED_EXTERN int CeedOperatorCreateFDMElementInverse(CeedOperator op, CeedOperator *fdminv, CeedRequest *request); CEED_EXTERN int CeedOperatorView(CeedOperator op, FILE *stream); CEED_EXTERN int CeedOperatorApply(CeedOperator op, CeedVector in, CeedVector out, CeedRequest *request); CEED_EXTERN int CeedOperatorApplyAdd(CeedOperator op, CeedVector in, CeedVector out, CeedRequest *request); CEED_EXTERN int CeedOperatorDestroy(CeedOperator *op); /** @brief Return integer power @param[in] base The base to exponentiate @param[in] power The power to raise the base to @return base^power @ref Utility **/ static inline CeedInt CeedIntPow(CeedInt base, CeedInt power) { CeedInt result = 1; while (power) { if (power & 1) result *= base; power >>= 1; base *= base; } return result; } /** @brief Return minimum of two integers @param[in] a The first integer to compare @param[in] b The second integer to compare @return The minimum of the two integers @ref Utility **/ static inline CeedInt CeedIntMin(CeedInt a, CeedInt b) { return a < b ? a : b; } #endif