1 // Copyright (c) 2017-2025, Lawrence Livermore National Security, LLC and other CEED contributors. 2 // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 3 // 4 // SPDX-License-Identifier: BSD-2-Clause 5 // 6 // This file is part of CEED: http://github.com/ceed 7 8 /// @file 9 /// libCEED QFunctions for mass operator example using PETSc 10 11 #include <ceed/types.h> 12 #ifndef CEED_RUNNING_JIT_PASS 13 #include <math.h> 14 #endif 15 16 // ----------------------------------------------------------------------------- 17 // This QFunction sets up the geometric factors required to apply the mass operator 18 // 19 // The quadrature data is stored in the array q_data. 20 // 21 // We require the determinant of the Jacobian to properly compute integrals of the form: int( u v ) 22 // 23 // Qdata: det_J * w 24 // 25 // ----------------------------------------------------------------------------- 26 CEED_QFUNCTION(SetupMassGeo)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 27 // Inputs 28 const CeedScalar(*J)[3][CEED_Q_VLA] = (const CeedScalar(*)[3][CEED_Q_VLA])in[1]; 29 const CeedScalar(*w) = in[2]; // Note: *X = in[0] 30 // Outputs 31 CeedScalar *q_data = out[0]; 32 33 const CeedInt dim = 3; 34 // Quadrature Point Loop 35 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 36 // Setup 37 CeedScalar A[3][3]; 38 for (CeedInt j = 0; j < dim; j++) { 39 for (CeedInt k = 0; k < dim; k++) { 40 // Equivalent code with no mod operations: 41 // A[k][j] = J[k+1][j+1]*J[k+2][j+2] - J[k+1][j+2]*J[k+2][j+1] 42 A[k][j] = J[(k + 1) % dim][(j + 1) % dim][i] * J[(k + 2) % dim][(j + 2) % dim][i] - 43 J[(k + 1) % dim][(j + 2) % dim][i] * J[(k + 2) % dim][(j + 1) % dim][i]; 44 } 45 } 46 const CeedScalar detJ = J[0][0][i] * A[0][0] + J[0][1][i] * A[0][1] + J[0][2][i] * A[0][2]; 47 q_data[i] = detJ * w[i]; 48 } // End of Quadrature Point Loop 49 return 0; 50 } 51 52 // ----------------------------------------------------------------------------- 53 // This QFunction sets up the rhs and true solution for the problem 54 // ----------------------------------------------------------------------------- 55 CEED_QFUNCTION(SetupMassRhs)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 56 const CeedScalar *x = in[0], *w = in[1]; 57 CeedScalar *true_soln = out[0], *rhs = out[1]; 58 59 // Quadrature Point Loop 60 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 61 true_soln[i] = sqrt(x[i] * x[i] + x[i + Q] * x[i + Q] + x[i + 2 * Q] * x[i + 2 * Q]); 62 rhs[i] = w[i] * true_soln[i]; 63 } // End of Quadrature Point Loop 64 return 0; 65 } 66 67 // ----------------------------------------------------------------------------- 68 // This QFunction applies the mass operator for a scalar field. 69 // 70 // Inputs: 71 // u - Input vector at quadrature points 72 // q_data - Geometric factors 73 // 74 // Output: 75 // v - Output vector (test functions) at quadrature points 76 // ----------------------------------------------------------------------------- 77 CEED_QFUNCTION(Mass)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 78 const CeedScalar *u = in[0], *q_data = in[1]; 79 CeedScalar *v = out[0]; 80 81 // Quadrature Point Loop 82 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) v[i] = q_data[i] * u[i]; 83 84 return 0; 85 } 86 // ----------------------------------------------------------------------------- 87