1 /// @file 2 /// Test assembly of mass and Poisson operator diagonal 3 /// \test Test assembly of mass and Poisson operator diagonal 4 #include "t535-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_mass, elem_restriction_q_data_diff; 14 CeedBasis basis_x, basis_u; 15 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply; 16 CeedOperator op_setup_mass, op_setup_diff, op_apply; 17 CeedVector q_data_mass, q_data_diff, 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, &q_data_mass); 42 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 43 44 // Restrictions 45 for (CeedInt i = 0; i < num_elem; i++) { 46 CeedInt col, row, offset; 47 col = i % n_x; 48 row = i / n_x; 49 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1); 50 for (CeedInt j = 0; j < p; j++) { 51 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j; 52 } 53 } 54 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 55 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 56 57 CeedInt strides_q_data_mass[3] = {1, q * q, q * q}; 58 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass); 59 60 CeedInt strides_q_data_diff[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; 61 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff, 62 &elem_restriction_q_data_diff); 63 64 // Bases 65 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x); 66 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u); 67 68 // QFunction - setup mass 69 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass); 70 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD); 71 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 72 CeedQFunctionAddOutput(qf_setup_mass, "q data", 1, CEED_EVAL_NONE); 73 74 // Operator - setup mass 75 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 76 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 77 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 78 CeedOperatorSetField(op_setup_mass, "q data", elem_restriction_q_data_mass, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 79 80 // QFunction - setup diff 81 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff); 82 CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD); 83 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT); 84 CeedQFunctionAddOutput(qf_setup_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 85 86 // Operator - setup diff 87 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 88 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 89 CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 90 CeedOperatorSetField(op_setup_diff, "q data", elem_restriction_q_data_diff, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE); 91 92 // Apply Setup Operators 93 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE); 94 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE); 95 96 // QFunction - apply 97 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 98 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 99 CeedQFunctionAddInput(qf_apply, "mass q data", 1, CEED_EVAL_NONE); 100 CeedQFunctionAddInput(qf_apply, "diff q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 101 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 102 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 103 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 104 105 // Operator - apply 106 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 107 CeedOperatorSetField(op_apply, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 108 CeedOperatorSetField(op_apply, "mass q data", elem_restriction_q_data_mass, CEED_BASIS_NONE, q_data_mass); 109 CeedOperatorSetField(op_apply, "diff q data", elem_restriction_q_data_diff, CEED_BASIS_NONE, q_data_diff); 110 CeedOperatorSetField(op_apply, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 111 CeedOperatorSetField(op_apply, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 112 CeedOperatorSetField(op_apply, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 113 114 // Assemble diagonal 115 CeedVectorCreate(ceed, num_dofs, &assembled); 116 CeedOperatorLinearAssembleDiagonal(op_apply, assembled, CEED_REQUEST_IMMEDIATE); 117 118 // Manually assemble diagonal 119 CeedVectorSetValue(u, 0.0); 120 for (int i = 0; i < num_dofs; i++) { 121 CeedScalar *u_array; 122 const CeedScalar *v_array; 123 124 // Set input 125 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 126 u_array[i] = 1.0; 127 if (i) u_array[i - 1] = 0.0; 128 CeedVectorRestoreArray(u, &u_array); 129 130 // Compute diag entry for DoF i 131 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 132 133 // Retrieve entry 134 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 135 assembled_true[i] = v_array[i]; 136 CeedVectorRestoreArrayRead(v, &v_array); 137 } 138 139 // Check output 140 { 141 const CeedScalar *assembled_array; 142 143 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 144 for (int i = 0; i < num_dofs; i++) { 145 if (fabs(assembled_array[i] - assembled_true[i]) > 100. * CEED_EPSILON) { 146 // LCOV_EXCL_START 147 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]); 148 // LCOV_EXCL_STOP 149 } 150 } 151 CeedVectorRestoreArrayRead(assembled, &assembled_array); 152 } 153 154 // Cleanup 155 CeedVectorDestroy(&x); 156 CeedVectorDestroy(&assembled); 157 CeedVectorDestroy(&q_data_mass); 158 CeedVectorDestroy(&q_data_diff); 159 CeedVectorDestroy(&u); 160 CeedVectorDestroy(&v); 161 CeedElemRestrictionDestroy(&elem_restriction_u); 162 CeedElemRestrictionDestroy(&elem_restriction_x); 163 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass); 164 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff); 165 CeedBasisDestroy(&basis_u); 166 CeedBasisDestroy(&basis_x); 167 CeedQFunctionDestroy(&qf_setup_mass); 168 CeedQFunctionDestroy(&qf_setup_diff); 169 CeedQFunctionDestroy(&qf_apply); 170 CeedOperatorDestroy(&op_setup_mass); 171 CeedOperatorDestroy(&op_setup_diff); 172 CeedOperatorDestroy(&op_apply); 173 CeedDestroy(&ceed); 174 return 0; 175 } 176