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