1 // Copyright (c) 2017-2022, 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 #ifndef bp1_h 12 #define bp1_h 13 14 #include <ceed.h> 15 #include <math.h> 16 17 // ----------------------------------------------------------------------------- 18 // This QFunction sets up the geometric factors required to apply the mass operator 19 // 20 // The quadrature data is stored in the array q_data. 21 // 22 // We require the determinant of the Jacobian to properly compute integrals of the form: int( u v ) 23 // 24 // Qdata: det_J * w 25 // 26 // ----------------------------------------------------------------------------- 27 CEED_QFUNCTION(SetupMassGeo)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 28 // Inputs 29 const CeedScalar(*J)[3][CEED_Q_VLA] = (const CeedScalar(*)[3][CEED_Q_VLA])in[1]; 30 const CeedScalar(*w) = in[2]; // Note: *X = in[0] 31 // Outputs 32 CeedScalar *q_data = out[0]; 33 34 const CeedInt dim = 3; 35 // Quadrature Point Loop 36 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 37 // Setup 38 CeedScalar A[3][3]; 39 for (CeedInt j = 0; j < dim; j++) { 40 for (CeedInt k = 0; k < dim; k++) { 41 // Equivalent code with no mod operations: 42 // A[k][j] = J[k+1][j+1]*J[k+2][j+2] - J[k+1][j+2]*J[k+2][j+1] 43 A[k][j] = J[(k + 1) % dim][(j + 1) % dim][i] * J[(k + 2) % dim][(j + 2) % dim][i] - 44 J[(k + 1) % dim][(j + 2) % dim][i] * J[(k + 2) % dim][(j + 1) % dim][i]; 45 } 46 } 47 const CeedScalar detJ = J[0][0][i] * A[0][0] + J[0][1][i] * A[0][1] + J[0][2][i] * A[0][2]; 48 q_data[i] = detJ * w[i]; 49 } // End of Quadrature Point Loop 50 return 0; 51 } 52 53 // ----------------------------------------------------------------------------- 54 // This QFunction sets up the rhs and true solution for the problem 55 // ----------------------------------------------------------------------------- 56 CEED_QFUNCTION(SetupMassRhs)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 57 const CeedScalar *x = in[0], *w = in[1]; 58 CeedScalar *true_soln = out[0], *rhs = out[1]; 59 60 // Quadrature Point Loop 61 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 62 true_soln[i] = sqrt(x[i] * x[i] + x[i + Q] * x[i + Q] + x[i + 2 * Q] * x[i + 2 * Q]); 63 rhs[i] = w[i] * true_soln[i]; 64 } // End of Quadrature Point Loop 65 return 0; 66 } 67 68 // ----------------------------------------------------------------------------- 69 // This QFunction applies the mass operator for a scalar field. 70 // 71 // Inputs: 72 // u - Input vector at quadrature points 73 // q_data - Geometric factors 74 // 75 // Output: 76 // v - Output vector (test functions) at quadrature points 77 // ----------------------------------------------------------------------------- 78 CEED_QFUNCTION(Mass)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 79 const CeedScalar *u = in[0], *q_data = in[1]; 80 CeedScalar *v = out[0]; 81 82 // Quadrature Point Loop 83 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) v[i] = q_data[i] * u[i]; 84 85 return 0; 86 } 87 // ----------------------------------------------------------------------------- 88 89 #endif // bp1_h 90