1 /// @file 2 /// Test assembly of operator diagonal for operator with multiple active bases 3 /// \test Test assembly of operator diagonal for operator with multiple active bases 4 #include "t539-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_0, elem_restriction_u_1, elem_restr_qd_mass, elem_restr_qd_diff; 13 CeedBasis basis_x, basis_u_0, basis_u_1; 14 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply; 15 CeedOperator op_setup_mass, op_setup_diff, op_apply; 16 CeedVector q_data_mass, q_data_diff, x, assembled, u, v; 17 CeedInt num_elem = 6, p_0 = 2, p_1 = 3, q = 4, dim = 2, num_comp_0 = 2, num_comp_1 = 1; 18 CeedInt nx = 3, ny = 2; 19 CeedInt num_dofs_0 = (nx * (p_0 - 1) + 1) * (ny * (p_0 - 1) + 1), num_dofs_1 = (nx * (p_1 - 1) + 1) * (ny * (p_1 - 1) + 1); 20 CeedInt num_qpts = num_elem * q * q; 21 CeedInt ind_u_0[num_elem * p_0 * p_0], ind_u_1[num_elem * p_1 * p_1]; 22 CeedScalar assembled_true[num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1]; 23 24 CeedInit(argv[1], &ceed); 25 26 // Vectors 27 CeedVectorCreate(ceed, dim * num_dofs_0, &x); 28 { 29 CeedScalar x_array[dim * num_dofs_0]; 30 31 for (CeedInt i = 0; i < nx * 2 + 1; i++) { 32 for (CeedInt j = 0; j < ny * 2 + 1; j++) { 33 x_array[i + j * (nx * 2 + 1) + 0 * num_dofs_0] = (CeedScalar)i / (2 * nx); 34 x_array[i + j * (nx * 2 + 1) + 1 * num_dofs_0] = (CeedScalar)j / (2 * ny); 35 } 36 } 37 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array); 38 } 39 CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &u); 40 CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &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 % nx; 48 row = i / nx; 49 offset = col * (p_0 - 1) + row * (nx * (p_0 - 1) + 1) * (p_0 - 1); 50 for (CeedInt j = 0; j < p_0; j++) { 51 for (CeedInt k = 0; k < p_0; k++) ind_u_0[p_0 * (p_0 * i + k) + j] = offset + k * (nx * (p_0 - 1) + 1) + j; 52 } 53 offset = col * (p_1 - 1) + row * (nx * (p_1 - 1) + 1) * (p_1 - 1) + num_dofs_0 * num_comp_0; 54 for (CeedInt j = 0; j < p_1; j++) { 55 for (CeedInt k = 0; k < p_1; k++) ind_u_1[p_1 * (p_1 * i + k) + j] = offset + k * (nx * (p_1 - 1) + 1) + j; 56 } 57 } 58 CeedElemRestrictionCreate(ceed, num_elem, p_0 * p_0, dim, num_dofs_0, dim * num_dofs_0, CEED_MEM_HOST, CEED_USE_POINTER, ind_u_0, 59 &elem_restriction_x); 60 CeedElemRestrictionCreate(ceed, num_elem, p_0 * p_0, num_comp_0, num_dofs_0, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, CEED_MEM_HOST, 61 CEED_USE_POINTER, ind_u_0, &elem_restriction_u_0); 62 CeedElemRestrictionCreate(ceed, num_elem, p_1 * p_1, num_comp_1, num_dofs_1, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, CEED_MEM_HOST, 63 CEED_USE_POINTER, ind_u_1, &elem_restriction_u_1); 64 65 CeedInt strides_q_data_mass[3] = {1, q * q, q * q}; 66 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restr_qd_mass); 67 68 CeedInt strides_q_data_diff[3] = {1, q * q, dim * (dim + 1) / 2 * q * q}; 69 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff, 70 &elem_restr_qd_diff); 71 72 // Bases 73 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p_0, q, CEED_GAUSS, &basis_x); 74 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp_0, p_0, q, CEED_GAUSS, &basis_u_0); 75 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp_1, p_1, q, CEED_GAUSS, &basis_u_1); 76 77 // QFunction - setup mass 78 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass); 79 80 // Operator - setup mass 81 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass); 82 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 83 CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 84 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_qd_mass, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 85 86 // QFunction - setup diffusion 87 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setup_diff); 88 89 // Operator - setup diffusion 90 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff); 91 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE); 92 CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE); 93 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_qd_diff, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE); 94 95 // Apply Setup Operators 96 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE); 97 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE); 98 99 // QFunction - apply 100 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply); 101 CeedQFunctionAddInput(qf_apply, "du_0", num_comp_0 * dim, CEED_EVAL_GRAD); 102 CeedQFunctionAddInput(qf_apply, "mass qdata", 1, CEED_EVAL_NONE); 103 CeedQFunctionAddInput(qf_apply, "diff qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE); 104 CeedQFunctionAddInput(qf_apply, "u_0", num_comp_0, CEED_EVAL_INTERP); 105 CeedQFunctionAddInput(qf_apply, "u_1", num_comp_1, CEED_EVAL_INTERP); 106 CeedQFunctionAddOutput(qf_apply, "v_0", num_comp_0, CEED_EVAL_INTERP); 107 CeedQFunctionAddOutput(qf_apply, "v_1", num_comp_1, CEED_EVAL_INTERP); 108 CeedQFunctionAddOutput(qf_apply, "dv_0", num_comp_0 * dim, CEED_EVAL_GRAD); 109 110 // Operator - apply 111 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply); 112 CeedOperatorSetField(op_apply, "du_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE); 113 CeedOperatorSetField(op_apply, "mass qdata", elem_restr_qd_mass, CEED_BASIS_COLLOCATED, q_data_mass); 114 CeedOperatorSetField(op_apply, "diff qdata", elem_restr_qd_diff, CEED_BASIS_COLLOCATED, q_data_diff); 115 CeedOperatorSetField(op_apply, "u_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE); 116 CeedOperatorSetField(op_apply, "u_1", elem_restriction_u_1, basis_u_1, CEED_VECTOR_ACTIVE); 117 CeedOperatorSetField(op_apply, "v_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE); 118 CeedOperatorSetField(op_apply, "v_1", elem_restriction_u_1, basis_u_1, CEED_VECTOR_ACTIVE); 119 CeedOperatorSetField(op_apply, "dv_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE); 120 121 // Assemble diagonal 122 CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &assembled); 123 CeedOperatorLinearAssembleDiagonal(op_apply, assembled, CEED_REQUEST_IMMEDIATE); 124 125 // Manually assemble diagonal 126 CeedVectorSetValue(u, 0.0); 127 for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) assembled_true[i] = 0.0; 128 for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) { 129 // Set input 130 CeedScalar *u_array; 131 const CeedScalar *v_array; 132 133 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array); 134 u_array[i] = 1.0; 135 if (i) u_array[i - 1] = 0.0; 136 CeedVectorRestoreArray(u, &u_array); 137 138 // Compute diag entry for DoF i 139 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE); 140 141 // Retrieve entry 142 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 143 assembled_true[i] = v_array[i]; 144 CeedVectorRestoreArrayRead(v, &v_array); 145 } 146 147 // Check output 148 { 149 const CeedScalar *assembled_array; 150 151 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array); 152 for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) { 153 if (fabs(assembled_array[i] - assembled_true[i]) > 1000. * CEED_EPSILON) { 154 // LCOV_EXCL_START 155 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]); 156 // LCOV_EXCL_STOP 157 } 158 } 159 CeedVectorRestoreArrayRead(assembled, &assembled_array); 160 } 161 162 // Cleanup 163 CeedVectorDestroy(&x); 164 CeedVectorDestroy(&assembled); 165 CeedVectorDestroy(&u); 166 CeedVectorDestroy(&v); 167 CeedVectorDestroy(&q_data_mass); 168 CeedVectorDestroy(&q_data_diff); 169 CeedElemRestrictionDestroy(&elem_restriction_x); 170 CeedElemRestrictionDestroy(&elem_restriction_u_0); 171 CeedElemRestrictionDestroy(&elem_restriction_u_1); 172 CeedElemRestrictionDestroy(&elem_restr_qd_mass); 173 CeedElemRestrictionDestroy(&elem_restr_qd_diff); 174 CeedBasisDestroy(&basis_x); 175 CeedBasisDestroy(&basis_u_0); 176 CeedBasisDestroy(&basis_u_1); 177 CeedQFunctionDestroy(&qf_setup_mass); 178 CeedQFunctionDestroy(&qf_setup_diff); 179 CeedQFunctionDestroy(&qf_apply); 180 CeedOperatorDestroy(&op_setup_mass); 181 CeedOperatorDestroy(&op_setup_diff); 182 CeedOperatorDestroy(&op_apply); 183 CeedDestroy(&ceed); 184 return 0; 185 } 186