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 <stdio.h>
9 #include <stdlib.h>
10
main(int argc,char ** argv)11 int main(int argc, char **argv) {
12 Ceed ceed;
13 CeedElemRestriction elem_restriction_x, elem_restriction_u_0, elem_restriction_u_1, elem_restr_q_data_mass, elem_restr_q_data_diff;
14 CeedBasis basis_x, basis_u_0, basis_u_1;
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_0 = 2, p_1 = 3, q = 4, dim = 2, num_comp_0 = 2, num_comp_1 = 1;
19 CeedInt n_x = 3, n_y = 2;
20 CeedInt num_dofs_0 = (n_x * (p_0 - 1) + 1) * (n_y * (p_0 - 1) + 1), num_dofs_1 = (n_x * (p_1 - 1) + 1) * (n_y * (p_1 - 1) + 1);
21 CeedInt num_qpts = num_elem * q * q;
22 CeedInt ind_u_0[num_elem * p_0 * p_0], ind_u_1[num_elem * p_1 * p_1];
23 CeedScalar assembled_true[num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1];
24
25 CeedInit(argv[1], &ceed);
26
27 // Vectors
28 CeedVectorCreate(ceed, dim * num_dofs_0, &x);
29 {
30 CeedScalar x_array[dim * num_dofs_0];
31
32 for (CeedInt i = 0; i < n_x * (p_0 - 1) + 1; i++) {
33 for (CeedInt j = 0; j < n_y * (p_0 - 1) + 1; j++) {
34 x_array[i + j * (n_x * (p_0 - 1) + 1) + 0 * num_dofs_0] = (CeedScalar)i / ((p_0 - 1) * n_x);
35 x_array[i + j * (n_x * (p_0 - 1) + 1) + 1 * num_dofs_0] = (CeedScalar)j / ((p_0 - 1) * n_y);
36 }
37 }
38 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
39 }
40 CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &u);
41 CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &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; i++) {
47 CeedInt col, row, offset;
48 col = i % n_x;
49 row = i / n_x;
50 offset = col * (p_0 - 1) + row * (n_x * (p_0 - 1) + 1) * (p_0 - 1);
51 for (CeedInt j = 0; j < p_0; j++) {
52 for (CeedInt k = 0; k < p_0; k++) ind_u_0[p_0 * (p_0 * i + k) + j] = offset + k * (n_x * (p_0 - 1) + 1) + j;
53 }
54 offset = col * (p_1 - 1) + row * (n_x * (p_1 - 1) + 1) * (p_1 - 1) + num_dofs_0 * num_comp_0;
55 for (CeedInt j = 0; j < p_1; j++) {
56 for (CeedInt k = 0; k < p_1; k++) ind_u_1[p_1 * (p_1 * i + k) + j] = offset + k * (n_x * (p_1 - 1) + 1) + j;
57 }
58 }
59 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,
60 &elem_restriction_x);
61 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,
62 CEED_USE_POINTER, ind_u_0, &elem_restriction_u_0);
63 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,
64 CEED_USE_POINTER, ind_u_1, &elem_restriction_u_1);
65
66 CeedInt strides_q_data_mass[3] = {1, q * q, q * q};
67 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restr_q_data_mass);
68
69 CeedInt strides_q_data_diff[3] = {1, q * q, dim * (dim + 1) / 2 * q * q};
70 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff,
71 &elem_restr_q_data_diff);
72
73 // Bases
74 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p_0, q, CEED_GAUSS, &basis_x);
75 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp_0, p_0, q, CEED_GAUSS, &basis_u_0);
76 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp_1, p_1, q, CEED_GAUSS, &basis_u_1);
77
78 // QFunction - setup mass
79 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass);
80
81 // Operator - setup mass
82 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass);
83 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
84 CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
85 CeedOperatorSetField(op_setup_mass, "qdata", elem_restr_q_data_mass, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
86
87 // QFunction - setup diffusion
88 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setup_diff);
89
90 // Operator - setup diffusion
91 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff);
92 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
93 CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
94 CeedOperatorSetField(op_setup_diff, "qdata", elem_restr_q_data_diff, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
95
96 // Apply Setup Operators
97 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE);
98 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE);
99
100 // QFunction - apply
101 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply);
102 CeedQFunctionAddInput(qf_apply, "du_0", num_comp_0 * dim, CEED_EVAL_GRAD);
103 CeedQFunctionAddInput(qf_apply, "mass qdata", 1, CEED_EVAL_NONE);
104 CeedQFunctionAddInput(qf_apply, "diff qdata", dim * (dim + 1) / 2, CEED_EVAL_NONE);
105 CeedQFunctionAddInput(qf_apply, "u_0", num_comp_0, CEED_EVAL_INTERP);
106 CeedQFunctionAddInput(qf_apply, "u_1", num_comp_1, CEED_EVAL_INTERP);
107 CeedQFunctionAddOutput(qf_apply, "v_0", num_comp_0, CEED_EVAL_INTERP);
108 CeedQFunctionAddOutput(qf_apply, "v_1", num_comp_1, CEED_EVAL_INTERP);
109 CeedQFunctionAddOutput(qf_apply, "dv_0", num_comp_0 * dim, CEED_EVAL_GRAD);
110
111 // Operator - apply
112 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply);
113 CeedOperatorSetField(op_apply, "du_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE);
114 CeedOperatorSetField(op_apply, "mass qdata", elem_restr_q_data_mass, CEED_BASIS_NONE, q_data_mass);
115 CeedOperatorSetField(op_apply, "diff qdata", elem_restr_q_data_diff, CEED_BASIS_NONE, q_data_diff);
116 CeedOperatorSetField(op_apply, "u_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE);
117 CeedOperatorSetField(op_apply, "u_1", elem_restriction_u_1, basis_u_1, CEED_VECTOR_ACTIVE);
118 CeedOperatorSetField(op_apply, "v_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE);
119 CeedOperatorSetField(op_apply, "v_1", elem_restriction_u_1, basis_u_1, CEED_VECTOR_ACTIVE);
120 CeedOperatorSetField(op_apply, "dv_0", elem_restriction_u_0, basis_u_0, CEED_VECTOR_ACTIVE);
121
122 // Assemble diagonal
123 CeedVectorCreate(ceed, num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1, &assembled);
124 CeedOperatorLinearAssembleDiagonal(op_apply, assembled, CEED_REQUEST_IMMEDIATE);
125
126 // Manually assemble diagonal
127 CeedVectorSetValue(u, 0.0);
128 for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) assembled_true[i] = 0.0;
129 for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) {
130 // Set input
131 CeedScalar *u_array;
132 const CeedScalar *v_array;
133
134 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array);
135 u_array[i] = 1.0;
136 if (i) u_array[i - 1] = 0.0;
137 CeedVectorRestoreArray(u, &u_array);
138
139 // Compute diag entry for DoF i
140 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE);
141
142 // Retrieve entry
143 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
144 assembled_true[i] = v_array[i];
145 CeedVectorRestoreArrayRead(v, &v_array);
146 }
147
148 // Check output
149 {
150 const CeedScalar *assembled_array;
151
152 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array);
153 for (int i = 0; i < num_comp_0 * num_dofs_0 + num_comp_1 * num_dofs_1; i++) {
154 if (fabs(assembled_array[i] - assembled_true[i]) > 1000. * CEED_EPSILON) {
155 // LCOV_EXCL_START
156 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]);
157 // LCOV_EXCL_STOP
158 }
159 }
160 CeedVectorRestoreArrayRead(assembled, &assembled_array);
161 }
162
163 // Cleanup
164 CeedVectorDestroy(&x);
165 CeedVectorDestroy(&assembled);
166 CeedVectorDestroy(&u);
167 CeedVectorDestroy(&v);
168 CeedVectorDestroy(&q_data_mass);
169 CeedVectorDestroy(&q_data_diff);
170 CeedElemRestrictionDestroy(&elem_restriction_x);
171 CeedElemRestrictionDestroy(&elem_restriction_u_0);
172 CeedElemRestrictionDestroy(&elem_restriction_u_1);
173 CeedElemRestrictionDestroy(&elem_restr_q_data_mass);
174 CeedElemRestrictionDestroy(&elem_restr_q_data_diff);
175 CeedBasisDestroy(&basis_x);
176 CeedBasisDestroy(&basis_u_0);
177 CeedBasisDestroy(&basis_u_1);
178 CeedQFunctionDestroy(&qf_setup_mass);
179 CeedQFunctionDestroy(&qf_setup_diff);
180 CeedQFunctionDestroy(&qf_apply);
181 CeedOperatorDestroy(&op_setup_mass);
182 CeedOperatorDestroy(&op_setup_diff);
183 CeedOperatorDestroy(&op_apply);
184 CeedDestroy(&ceed);
185 return 0;
186 }
187