1 /// @file
2 /// Test full assembly of composite operator (see t538)
3 /// \test Test full assembly of composite operator
4 #include <ceed.h>
5 #include <math.h>
6 #include <stdio.h>
7 #include <stdlib.h>
8
main(int argc,char ** argv)9 int main(int argc, char **argv) {
10 Ceed ceed;
11 CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data_mass, elem_restriction_q_data_diff;
12 CeedBasis basis_x, basis_u;
13 CeedQFunction qf_setup_mass, qf_mass, qf_setup_diff, qf_diff;
14 CeedOperator op_setup_mass, op_mass, op_setup_diff, op_diff, op_apply;
15 CeedVector q_data_mass, q_data_diff, x, u, v;
16 CeedInt p = 3, q = 4, dim = 2;
17 CeedInt n_x = 3, n_y = 2;
18 CeedInt num_elem = n_x * n_y;
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_values[num_dofs * num_dofs];
22 CeedScalar assembled_true[num_dofs * 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
48 col = i % n_x;
49 row = i / n_x;
50 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1);
51 for (CeedInt j = 0; j < p; j++) {
52 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j;
53 }
54 }
55 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x);
56 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u);
57
58 CeedInt strides_q_data_mass[3] = {1, q * q, q * q};
59 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass);
60
61 CeedInt strides_q_data_diff[3] = {1, q * q, q * q * dim * (dim + 1) / 2}; /* *NOPAD* */
62 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff,
63 &elem_restriction_q_data_diff);
64
65 // Bases
66 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x);
67 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u);
68
69 // QFunction - setup mass
70 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass);
71
72 // Operator - setup mass
73 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass);
74 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
75 CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
76 CeedOperatorSetField(op_setup_mass, "qdata", elem_restriction_q_data_mass, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
77
78 // QFunction - setup diffusion
79 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setup_diff);
80
81 // Operator - setup diffusion
82 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff);
83 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
84 CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
85 CeedOperatorSetField(op_setup_diff, "qdata", elem_restriction_q_data_diff, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
86
87 // Apply Setup Operators
88 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE);
89 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE);
90
91 // QFunction - apply mass
92 CeedQFunctionCreateInteriorByName(ceed, "MassApply", &qf_mass);
93
94 // Operator - apply mass
95 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass);
96 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
97 CeedOperatorSetField(op_mass, "qdata", elem_restriction_q_data_mass, CEED_BASIS_NONE, q_data_mass);
98 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
99
100 // QFunction - apply diff
101 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DApply", &qf_diff);
102
103 // Operator - apply
104 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff);
105 CeedOperatorSetField(op_diff, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
106 CeedOperatorSetField(op_diff, "qdata", elem_restriction_q_data_diff, CEED_BASIS_NONE, q_data_diff);
107 CeedOperatorSetField(op_diff, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
108
109 // Composite operator
110 CeedOperatorCreateComposite(ceed, &op_apply);
111 CeedOperatorCompositeAddSub(op_apply, op_mass);
112 CeedOperatorCompositeAddSub(op_apply, op_diff);
113
114 // Fully assemble operator
115 CeedSize num_entries;
116 CeedInt *rows;
117 CeedInt *cols;
118 CeedVector assembled;
119
120 for (CeedInt k = 0; k < num_dofs * num_dofs; ++k) {
121 assembled_values[k] = 0.0;
122 assembled_true[k] = 0.0;
123 }
124 CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols);
125 CeedVectorCreate(ceed, num_entries, &assembled);
126 CeedOperatorLinearAssemble(op_apply, assembled);
127 {
128 const CeedScalar *assembled_array;
129
130 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array);
131 for (CeedInt k = 0; k < num_entries; ++k) assembled_values[rows[k] * num_dofs + cols[k]] += assembled_array[k];
132 CeedVectorRestoreArrayRead(assembled, &assembled_array);
133 }
134
135 // Manually assemble operator
136 CeedVectorSetValue(u, 0.0);
137 for (CeedInt j = 0; j < num_dofs; j++) {
138 CeedScalar *u_array;
139 const CeedScalar *v_array;
140
141 // Set input
142 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array);
143 u_array[j] = 1.0;
144 if (j) u_array[j - 1] = 0.0;
145 CeedVectorRestoreArray(u, &u_array);
146
147 // Compute entries for column j
148 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE);
149
150 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
151 for (CeedInt i = 0; i < num_dofs; i++) assembled_true[i * num_dofs + j] = v_array[i];
152 CeedVectorRestoreArrayRead(v, &v_array);
153 }
154
155 // Check output
156 for (CeedInt i = 0; i < num_dofs; i++) {
157 for (CeedInt j = 0; j < num_dofs; j++) {
158 if (fabs(assembled_values[i * num_dofs + j] - assembled_true[i * num_dofs + j]) > 100. * CEED_EPSILON) {
159 // LCOV_EXCL_START
160 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[i * num_dofs + j],
161 assembled_true[i * num_dofs + j]);
162 // LCOV_EXCL_STOP
163 }
164 }
165 }
166
167 // Cleanup
168 free(rows);
169 free(cols);
170 CeedVectorDestroy(&assembled);
171 CeedQFunctionDestroy(&qf_setup_mass);
172 CeedQFunctionDestroy(&qf_setup_diff);
173 CeedQFunctionDestroy(&qf_diff);
174 CeedQFunctionDestroy(&qf_mass);
175 CeedOperatorDestroy(&op_setup_mass);
176 CeedOperatorDestroy(&op_setup_diff);
177 CeedOperatorDestroy(&op_mass);
178 CeedOperatorDestroy(&op_diff);
179 CeedOperatorDestroy(&op_apply);
180 CeedElemRestrictionDestroy(&elem_restriction_u);
181 CeedElemRestrictionDestroy(&elem_restriction_x);
182 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass);
183 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff);
184 CeedBasisDestroy(&basis_u);
185 CeedBasisDestroy(&basis_x);
186 CeedVectorDestroy(&x);
187 CeedVectorDestroy(&q_data_mass);
188 CeedVectorDestroy(&q_data_diff);
189 CeedVectorDestroy(&u);
190 CeedVectorDestroy(&v);
191 CeedDestroy(&ceed);
192 return 0;
193 }
194