1 /// @file 2 /// Test assembly of mass and Poisson operator diagonal 3 /// \test Test assembly of mass and Poisson operator diagonal 4 #include <ceed.h> 5 #include <math.h> 6 #include <stdlib.h> 7 8 #include "t320-basis.h" 9 #include "t535-operator.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 = 12, dim = 2, p = 6, q = 4; 19 CeedInt n_x = 3, n_y = 2; 20 CeedInt row, column, offset; 21 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * q; 22 CeedInt ind_x[num_elem * p * p]; 23 CeedScalar assembled_true[num_dofs]; 24 CeedScalar q_ref[dim * q], q_weight[q]; 25 CeedScalar interp[p * q], grad[dim * p * q]; 26 27 CeedInit(argv[1], &ceed); 28 29 // Vectors 30 CeedVectorCreate(ceed, dim * num_dofs, &x); 31 { 32 CeedScalar x_array[dim * num_dofs]; 33 34 for (CeedInt i = 0; i < num_dofs; i++) { 35 x_array[i] = (1. / (n_x * 2)) * (CeedScalar)(i % (n_x * 2 + 1)); 36 x_array[i + num_dofs] = (1. / (n_y * 2)) * (CeedScalar)(i / (n_x * 2 + 1)); 37 } 38 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 39 } 40 CeedVectorCreate(ceed, num_dofs, &u); 41 CeedVectorCreate(ceed, num_dofs, &v); 42 CeedVectorCreate(ceed, num_qpts, &q_data_mass); 43 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff); 44 45 // Restrictions 46 for (CeedInt i = 0; i < num_elem / 2; i++) { 47 column = i % n_x; 48 row = i / n_x; 49 offset = column * 2 + row * (n_x * 2 + 1) * 2; 50 51 ind_x[i * 2 * p + 0] = 2 + offset; 52 ind_x[i * 2 * p + 1] = 9 + offset; 53 ind_x[i * 2 * p + 2] = 16 + offset; 54 ind_x[i * 2 * p + 3] = 1 + offset; 55 ind_x[i * 2 * p + 4] = 8 + offset; 56 ind_x[i * 2 * p + 5] = 0 + offset; 57 58 ind_x[i * 2 * p + 6] = 14 + offset; 59 ind_x[i * 2 * p + 7] = 7 + offset; 60 ind_x[i * 2 * p + 8] = 0 + offset; 61 ind_x[i * 2 * p + 9] = 15 + offset; 62 ind_x[i * 2 * p + 10] = 8 + offset; 63 ind_x[i * 2 * p + 11] = 16 + offset; 64 } 65 CeedElemRestrictionCreate(ceed, num_elem, p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x); 66 CeedElemRestrictionCreate(ceed, num_elem, p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u); 67 68 CeedInt strides_q_data_mass[3] = {1, q, q}; 69 CeedElemRestrictionCreateStrided(ceed, num_elem, q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass); 70 71 CeedInt strides_q_data_diff[3] = {1, q, q * dim * (dim + 1) / 2}; 72 CeedElemRestrictionCreateStrided(ceed, num_elem, q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff, 73 &elem_restriction_q_data_diff); 74 75 // Bases 76 Build2DSimplex(q_ref, q_weight, interp, grad); 77 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, p, q, interp, grad, q_ref, q_weight, &basis_x); 78 79 Build2DSimplex(q_ref, q_weight, interp, grad); 80 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, p, q, interp, grad, q_ref, q_weight, &basis_u); 81 82 // QFunction - setup mass 83 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass); 84 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD); 85 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT); 86 CeedQFunctionAddOutput(qf_setup_mass, "q data", 1, CEED_EVAL_NONE); 87 88 // Operator - setup mass 89 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 90 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 91 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 92 CeedOperatorSetField(op_setup_mass, "q data", elem_restriction_q_data_mass, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 93 94 // QFunction - setup diff 95 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff); 96 CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD); 97 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT); 98 CeedQFunctionAddOutput(qf_setup_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 99 100 // Operator - setup diff 101 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 102 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 103 CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 104 CeedOperatorSetField(op_setup_diff, "q data", elem_restriction_q_data_diff, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 105 106 // Apply Setup Operators 107 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE); 108 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE); 109 110 // QFunction - apply 111 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 112 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD); 113 CeedQFunctionAddInput(qf_apply, "mass q data", 1, CEED_EVAL_NONE); 114 CeedQFunctionAddInput(qf_apply, "diff q data", dim * (dim + 1) / 2, CEED_EVAL_NONE); 115 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP); 116 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP); 117 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD); 118 119 // Operator - apply 120 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 121 CeedOperatorSetField(op_apply, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 122 CeedOperatorSetField(op_apply, "mass q data", elem_restriction_q_data_mass, CEED_BASIS_COLLOCATED, q_data_mass); 123 CeedOperatorSetField(op_apply, "diff q data", elem_restriction_q_data_diff, CEED_BASIS_COLLOCATED, q_data_diff); 124 CeedOperatorSetField(op_apply, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 125 CeedOperatorSetField(op_apply, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 126 CeedOperatorSetField(op_apply, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE); 127 128 // Assemble diagonal 129 CeedVectorCreate(ceed, num_dofs, &assembled); 130 CeedOperatorLinearAssembleDiagonal(op_apply, assembled, CEED_REQUEST_IMMEDIATE); 131 132 // Manually assemble diagonal 133 CeedVectorSetValue(u, 0.0); 134 for (int i = 0; i < num_dofs; i++) { 135 CeedScalar *u_array; 136 const CeedScalar *v_array; 137 138 // Set input 139 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 140 u_array[i] = 1.0; 141 if (i) u_array[i - 1] = 0.0; 142 CeedVectorRestoreArray(u, &u_array); 143 144 // Compute diag entry for DoF i 145 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 146 147 // Retrieve entry 148 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 149 assembled_true[i] = v_array[i]; 150 CeedVectorRestoreArrayRead(v, &v_array); 151 } 152 153 // Check output 154 { 155 const CeedScalar *assembled_array; 156 157 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 158 for (int i = 0; i < num_dofs; i++) { 159 if (fabs(assembled_array[i] - assembled_true[i]) > 100. * CEED_EPSILON) { 160 // LCOV_EXCL_START 161 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]); 162 // LCOV_EXCL_STOP 163 } 164 } 165 CeedVectorRestoreArrayRead(assembled, &assembled_array); 166 } 167 168 // Cleanup 169 CeedVectorDestroy(&x); 170 CeedVectorDestroy(&assembled); 171 CeedVectorDestroy(&q_data_mass); 172 CeedVectorDestroy(&q_data_diff); 173 CeedVectorDestroy(&u); 174 CeedVectorDestroy(&v); 175 CeedElemRestrictionDestroy(&elem_restriction_u); 176 CeedElemRestrictionDestroy(&elem_restriction_x); 177 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass); 178 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff); 179 CeedBasisDestroy(&basis_u); 180 CeedBasisDestroy(&basis_x); 181 CeedQFunctionDestroy(&qf_setup_mass); 182 CeedQFunctionDestroy(&qf_setup_diff); 183 CeedQFunctionDestroy(&qf_apply); 184 CeedOperatorDestroy(&op_setup_mass); 185 CeedOperatorDestroy(&op_setup_diff); 186 CeedOperatorDestroy(&op_apply); 187 CeedDestroy(&ceed); 188 return 0; 189 } 190