1 /// @file 2 /// Test assembly of mass matrix operator QFunction 3 /// \test Test assembly of mass matrix operator QFunction 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdlib.h> 7 8 #include "t510-operator.h" 9 10 int main(int argc, char **argv) { 11 Ceed ceed; 12 CeedElemRestriction elem_restr_x, elem_restr_u, elem_restr_qd_i, elem_restr_lin_i; 13 CeedBasis basis_x, basis_u; 14 CeedQFunction qf_setup, qf_mass; 15 CeedOperator op_setup, op_mass; 16 CeedVector q_data, X, A, u, v; 17 const CeedScalar *a, *q; 18 CeedInt num_elem = 6, P = 3, Q = 4, dim = 2; 19 CeedInt nx = 3, ny = 2; 20 CeedInt num_dofs = (nx * 2 + 1) * (ny * 2 + 1), num_qpts = num_elem * Q * Q; 21 CeedInt ind_x[num_elem * P * P]; 22 CeedScalar x[dim * num_dofs]; 23 24 CeedInit(argv[1], &ceed); 25 26 // DoF Coordinates 27 for (CeedInt i = 0; i < nx * 2 + 1; i++) { 28 for (CeedInt j = 0; j < ny * 2 + 1; j++) { 29 x[i + j * (nx * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * nx); 30 x[i + j * (nx * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * ny); 31 } 32 } 33 CeedVectorCreate(ceed, dim * num_dofs, &X); 34 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 35 36 // Qdata Vector 37 CeedVectorCreate(ceed, num_qpts, &q_data); 38 39 // Element Setup 40 for (CeedInt i = 0; i < num_elem; i++) { 41 CeedInt col, row, offset; 42 col = i % nx; 43 row = i / nx; 44 offset = col * (P - 1) + row * (nx * 2 + 1) * (P - 1); 45 for (CeedInt j = 0; j < P; j++) { 46 for (CeedInt k = 0; k < P; k++) ind_x[P * (P * i + k) + j] = offset + k * (nx * 2 + 1) + j; 47 } 48 } 49 50 // Restrictions 51 CeedElemRestrictionCreate(ceed, num_elem, P * P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 52 53 CeedElemRestrictionCreate(ceed, num_elem, P * P, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u); 54 CeedInt strides_qd[3] = {1, Q * Q, Q * Q}; 55 CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, 1, num_qpts, strides_qd, &elem_restr_qd_i); 56 57 // Bases 58 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x); 59 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u); 60 61 // QFunctions 62 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 63 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 64 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 65 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE); 66 67 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass); 68 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE); 69 CeedQFunctionAddInput(qf_mass, "u", 1, CEED_EVAL_INTERP); 70 CeedQFunctionAddOutput(qf_mass, "v", 1, CEED_EVAL_INTERP); 71 72 // Operators 73 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 74 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 75 CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE); 76 CeedOperatorSetField(op_setup, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 77 78 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass); 79 CeedOperatorSetField(op_mass, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED, q_data); 80 CeedOperatorSetField(op_mass, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 81 CeedOperatorSetField(op_mass, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE); 82 83 // Apply Setup Operator 84 CeedOperatorApply(op_setup, X, q_data, CEED_REQUEST_IMMEDIATE); 85 86 // Assemble QFunction 87 CeedOperatorSetQFunctionAssemblyReuse(op_mass, true); 88 CeedOperatorSetQFunctionAssemblyDataUpdateNeeded(op_mass, true); 89 CeedOperatorLinearAssembleQFunction(op_mass, &A, &elem_restr_lin_i, CEED_REQUEST_IMMEDIATE); 90 // Second call will be no-op since SetQFunctionUpdated was not called 91 CeedOperatorSetQFunctionAssemblyDataUpdateNeeded(op_mass, false); 92 CeedOperatorLinearAssembleQFunction(op_mass, &A, &elem_restr_lin_i, CEED_REQUEST_IMMEDIATE); 93 94 // Check output 95 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 96 CeedVectorGetArrayRead(q_data, CEED_MEM_HOST, &q); 97 for (CeedInt i = 0; i < num_qpts; i++) 98 if (fabs(q[i] - a[i]) > 1e-9) printf("Error: A[%" CeedInt_FMT "] = %f != %f\n", i, a[i], q[i]); 99 CeedVectorRestoreArrayRead(A, &a); 100 CeedVectorRestoreArrayRead(q_data, &q); 101 102 // Apply original Mass Operator 103 CeedVectorCreate(ceed, num_dofs, &u); 104 CeedVectorSetValue(u, 1.0); 105 CeedVectorCreate(ceed, num_dofs, &v); 106 CeedVectorSetValue(v, 0.0); 107 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 108 109 // Check output 110 CeedScalar area = 0.0; 111 const CeedScalar *vv; 112 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 113 for (CeedInt i = 0; i < num_dofs; i++) area += vv[i]; 114 CeedVectorRestoreArrayRead(v, &vv); 115 if (fabs(area - 1.0) > 100. * CEED_EPSILON) printf("Error: True operator computed area = %f != 1.0\n", area); 116 117 // Switch to new q_data 118 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 119 CeedVectorSetArray(q_data, CEED_MEM_HOST, CEED_COPY_VALUES, (CeedScalar *)a); 120 CeedVectorRestoreArrayRead(A, &a); 121 122 // Apply new Mass Operator 123 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE); 124 125 // Check output 126 area = 0.0; 127 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv); 128 for (CeedInt i = 0; i < num_dofs; i++) area += vv[i]; 129 CeedVectorRestoreArrayRead(v, &vv); 130 if (fabs(area - 1.0) > 1000. * CEED_EPSILON) printf("Error: Linearized operator computed area = %f != 1.0\n", area); 131 132 // Cleanup 133 CeedQFunctionDestroy(&qf_setup); 134 CeedQFunctionDestroy(&qf_mass); 135 CeedOperatorDestroy(&op_setup); 136 CeedOperatorDestroy(&op_mass); 137 CeedElemRestrictionDestroy(&elem_restr_u); 138 CeedElemRestrictionDestroy(&elem_restr_x); 139 CeedElemRestrictionDestroy(&elem_restr_qd_i); 140 CeedElemRestrictionDestroy(&elem_restr_lin_i); 141 CeedBasisDestroy(&basis_u); 142 CeedBasisDestroy(&basis_x); 143 CeedVectorDestroy(&X); 144 CeedVectorDestroy(&A); 145 CeedVectorDestroy(&q_data); 146 CeedVectorDestroy(&u); 147 CeedVectorDestroy(&v); 148 CeedDestroy(&ceed); 149 return 0; 150 } 151