1 /// @file 2 /// Test assembly of mass matrix operator point block diagonal 3 /// \test Test assembly of mass matrix operator point block diagonal 4 #include "t537-operator.h" 5 6 #include <ceed.h> 7 #include <math.h> 8 #include <stdlib.h> 9 10 int main(int argc, char **argv) { 11 Ceed ceed; 12 CeedElemRestriction elem_restr_x, elem_restr_u, elem_restr_qd_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 CeedInt num_elem = 6, P = 3, Q = 4, dim = 2, num_comp = 2; 18 CeedInt nx = 3, ny = 2; 19 CeedInt num_dofs = (nx * 2 + 1) * (ny * 2 + 1), num_qpts = num_elem * Q * Q; 20 CeedInt ind_x[num_elem * P * P]; 21 CeedScalar x[dim * num_dofs], assembled_true[num_comp * num_comp * num_dofs]; 22 CeedScalar *u; 23 const CeedScalar *a, *v; 24 25 CeedInit(argv[1], &ceed); 26 27 // DoF Coordinates 28 for (CeedInt i = 0; i < nx * 2 + 1; i++) { 29 for (CeedInt j = 0; j < ny * 2 + 1; j++) { 30 x[i + j * (nx * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * nx); 31 x[i + j * (nx * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * ny); 32 } 33 } 34 CeedVectorCreate(ceed, dim * num_dofs, &X); 35 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 36 37 // Qdata Vector 38 CeedVectorCreate(ceed, num_qpts, &q_data); 39 40 // Element Setup 41 for (CeedInt i = 0; i < num_elem; i++) { 42 CeedInt col, row, offset; 43 col = i % nx; 44 row = i / nx; 45 offset = col * (P - 1) + row * (nx * 2 + 1) * (P - 1); 46 for (CeedInt j = 0; j < P; j++) { 47 for (CeedInt k = 0; k < P; k++) ind_x[P * (P * i + k) + j] = offset + k * (nx * 2 + 1) + j; 48 } 49 } 50 51 // Restrictions 52 CeedElemRestrictionCreate(ceed, num_elem, P * P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x); 53 CeedElemRestrictionCreate(ceed, num_elem, P * P, num_comp, num_dofs, num_comp * 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, num_comp, 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", num_comp, CEED_EVAL_INTERP); 70 CeedQFunctionAddOutput(qf_mass, "v", num_comp, 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 diagonal 87 CeedVectorCreate(ceed, num_comp * num_comp * num_dofs, &A); 88 CeedOperatorLinearAssemblePointBlockDiagonal(op_mass, A, CEED_REQUEST_IMMEDIATE); 89 90 // Manually assemble diagonal 91 CeedVectorCreate(ceed, num_comp * num_dofs, &U); 92 CeedVectorSetValue(U, 0.0); 93 CeedVectorCreate(ceed, num_comp * num_dofs, &V); 94 for (int i = 0; i < num_comp * num_comp * num_dofs; i++) assembled_true[i] = 0.0; 95 CeedInt ind_old = -1; 96 for (int i = 0; i < num_dofs; i++) { 97 for (int j = 0; j < num_comp; j++) { 98 // Set input 99 CeedVectorGetArray(U, CEED_MEM_HOST, &u); 100 CeedInt ind = i + j * num_dofs; 101 u[ind] = 1.0; 102 if (ind > 0) u[ind_old] = 0.0; 103 ind_old = ind; 104 CeedVectorRestoreArray(U, &u); 105 106 // Compute effect of DoF i, comp j 107 CeedOperatorApply(op_mass, U, V, CEED_REQUEST_IMMEDIATE); 108 109 // Retrieve entry 110 CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v); 111 for (int k = 0; k < num_comp; k++) assembled_true[i * num_comp * num_comp + k * num_comp + j] += v[i + k * num_dofs]; 112 CeedVectorRestoreArrayRead(V, &v); 113 } 114 } 115 116 // Check output 117 CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a); 118 for (int i = 0; i < num_comp * num_comp * num_dofs; i++) { 119 if (fabs(a[i] - assembled_true[i]) > 100. * CEED_EPSILON) printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, a[i], assembled_true[i]); 120 } 121 CeedVectorRestoreArrayRead(A, &a); 122 123 // Cleanup 124 CeedQFunctionDestroy(&qf_setup); 125 CeedQFunctionDestroy(&qf_mass); 126 CeedOperatorDestroy(&op_setup); 127 CeedOperatorDestroy(&op_mass); 128 CeedElemRestrictionDestroy(&elem_restr_u); 129 CeedElemRestrictionDestroy(&elem_restr_x); 130 CeedElemRestrictionDestroy(&elem_restr_qd_i); 131 CeedBasisDestroy(&basis_u); 132 CeedBasisDestroy(&basis_x); 133 CeedVectorDestroy(&X); 134 CeedVectorDestroy(&A); 135 CeedVectorDestroy(&q_data); 136 CeedVectorDestroy(&U); 137 CeedVectorDestroy(&V); 138 CeedDestroy(&ceed); 139 return 0; 140 } 141