1 /// @file 2 /// Test assembly of Poisson operator diagonal 3 /// \test Test assembly of Poisson operator diagonal 4 #include "t534-operator.h" 5 6 #include <ceed.h> 7 #include <math.h> 8 #include <stdio.h> 9 #include <stdlib.h> 10 11 int main(int argc, char **argv) { 12 Ceed ceed; 13 CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data; 14 CeedBasis basis_x, basis_u; 15 CeedQFunction qf_setup, qf_diff; 16 CeedOperator op_setup, op_diff; 17 CeedVector q_data, x, assembled, u, v; 18 CeedInt num_elem = 6, p = 3, q = 4, dim = 2; 19 CeedInt n_x = 3, n_y = 2; 20 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * q * q; 21 CeedInt ind_x[num_elem * p * p]; 22 CeedScalar assembled_true[num_dofs]; 23 24 CeedInit(argv[1], &ceed); 25 26 // Vectors 27 CeedVectorCreate(ceed, dim * num_dofs, &x); 28 { 29 CeedScalar x_array[dim * num_dofs]; 30 31 for (CeedInt i = 0; i < n_x * 2 + 1; i++) { 32 for (CeedInt j = 0; j < n_y * 2 + 1; j++) { 33 x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x); 34 x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y); 35 } 36 } 37 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 38 } 39 CeedVectorCreate(ceed, num_dofs, &u); 40 CeedVectorCreate(ceed, num_dofs, &v); 41 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data); 42 43 // Restrictions 44 for (CeedInt i = 0; i < num_elem; i++) { 45 CeedInt col, row, offset; 46 col = i % n_x; 47 row = i / n_x; 48 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1); 49 for (CeedInt j = 0; j < p; j++) { 50 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 51 } 52 } 53 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 54 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 55 56 CeedInt strides_q_data[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; 57 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data, 58 &elem_restriction_q_data); 59 60 // Bases 61 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 62 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 63 64 // QFunction - setup 65 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup); 66 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD); 67 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT); 68 CeedQFunctionAddOutput(qf_setup, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 69 70 // Operator - setup 71 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup); 72 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 73 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 74 CeedOperatorSetField(op_setup, "q data", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 75 76 // Apply Setup Operator 77 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE); 78 79 // QFunction - apply 80 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff); 81 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD); 82 CeedQFunctionAddInput(qf_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 83 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD); 84 85 // Operator - apply 86 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff); 87 CeedOperatorSetField(op_diff, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 88 CeedOperatorSetField(op_diff, "q data", elem_restriction_q_data, CEED_BASIS_NONE, q_data); 89 CeedOperatorSetField(op_diff, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 90 91 // Assemble diagonal 92 CeedVectorCreate(ceed, num_dofs, &assembled); 93 CeedOperatorLinearAssembleDiagonal(op_diff, assembled, CEED_REQUEST_IMMEDIATE); 94 95 // Manually assemble diagonal 96 CeedVectorSetValue(u, 0.0); 97 for (int i = 0; i < num_dofs; i++) { 98 CeedScalar *u_array; 99 const CeedScalar *v_array; 100 101 // Set input 102 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 103 u_array[i] = 1.0; 104 if (i) u_array[i - 1] = 0.0; 105 CeedVectorRestoreArray(u, &u_array); 106 107 // Compute diag entry for DoF i 108 CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE); 109 110 // Retrieve entry 111 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 112 assembled_true[i] = v_array[i]; 113 CeedVectorRestoreArrayRead(v, &v_array); 114 } 115 116 // Check output 117 { 118 const CeedScalar *assembled_array; 119 120 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 121 for (int i = 0; i < num_dofs; i++) { 122 if (fabs(assembled_array[i] - assembled_true[i]) > 1000. * CEED_EPSILON) { 123 // LCOV_EXCL_START 124 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]); 125 // LCOV_EXCL_STOP 126 } 127 } 128 CeedVectorRestoreArrayRead(assembled, &assembled_array); 129 } 130 131 // Cleanup 132 CeedVectorDestroy(&x); 133 CeedVectorDestroy(&assembled); 134 CeedVectorDestroy(&q_data); 135 CeedVectorDestroy(&u); 136 CeedVectorDestroy(&v); 137 CeedElemRestrictionDestroy(&elem_restriction_u); 138 CeedElemRestrictionDestroy(&elem_restriction_x); 139 CeedElemRestrictionDestroy(&elem_restriction_q_data); 140 CeedBasisDestroy(&basis_u); 141 CeedBasisDestroy(&basis_x); 142 CeedQFunctionDestroy(&qf_setup); 143 CeedQFunctionDestroy(&qf_diff); 144 CeedOperatorDestroy(&op_setup); 145 CeedOperatorDestroy(&op_diff); 146 CeedDestroy(&ceed); 147 return 0; 148 } 149