1 /// @file
2 /// Test assembly of composite operator diagonal
3 /// \test Test assembly of composite operator diagonal
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, assembled, u, v;
16 CeedInt num_elem = 6, p = 3, q = 4, dim = 2;
17 CeedInt n_x = 3, n_y = 2;
18 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * q * q;
19 CeedInt ind_x[num_elem * p * p];
20 CeedScalar assembled_true[num_dofs];
21
22 CeedInit(argv[1], &ceed);
23
24 // Vectors
25 CeedVectorCreate(ceed, dim * num_dofs, &x);
26 {
27 CeedScalar x_array[dim * num_dofs];
28
29 for (CeedInt i = 0; i < n_x * (p - 1) + 1; i++) {
30 for (CeedInt j = 0; j < n_y * (p - 1) + 1; j++) {
31 x_array[i + j * (n_x * (p - 1) + 1) + 0 * num_dofs] = (CeedScalar)i / ((p - 1) * n_x);
32 x_array[i + j * (n_x * (p - 1) + 1) + 1 * num_dofs] = (CeedScalar)j / ((p - 1) * n_y);
33 }
34 }
35 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
36 }
37 CeedVectorCreate(ceed, num_dofs, &u);
38 CeedVectorCreate(ceed, num_dofs, &v);
39 CeedVectorCreate(ceed, num_qpts, &q_data_mass);
40 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff);
41
42 // Restrictions
43 for (CeedInt i = 0; i < num_elem; i++) {
44 CeedInt col, row, offset;
45 col = i % n_x;
46 row = i / n_x;
47 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1);
48 for (CeedInt j = 0; j < p; j++) {
49 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j;
50 }
51 }
52 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x);
53 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u);
54
55 CeedInt strides_q_data_mass[3] = {1, q * q, q * q};
56 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass);
57
58 CeedInt strides_q_data_diff[3] = {1, q * q, q * q * dim * (dim + 1) / 2};
59 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff,
60 &elem_restriction_q_data_diff);
61
62 // Bases
63 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x);
64 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u);
65
66 // QFunction - setup mass
67 CeedQFunctionCreateInteriorByName(ceed, "Mass2DBuild", &qf_setup_mass);
68
69 // Operator - setup mass
70 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass);
71 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
72 CeedOperatorSetField(op_setup_mass, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
73 CeedOperatorSetField(op_setup_mass, "qdata", elem_restriction_q_data_mass, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
74
75 // QFunction - setup diffusion
76 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DBuild", &qf_setup_diff);
77
78 // Operator - setup diffusion
79 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff);
80 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
81 CeedOperatorSetField(op_setup_diff, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
82 CeedOperatorSetField(op_setup_diff, "qdata", elem_restriction_q_data_diff, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
83
84 // Apply Setup Operators
85 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE);
86 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE);
87
88 // QFunction - apply mass
89 CeedQFunctionCreateInteriorByName(ceed, "MassApply", &qf_mass);
90
91 // Operator - apply mass
92 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass);
93 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
94 CeedOperatorSetField(op_mass, "qdata", elem_restriction_q_data_mass, CEED_BASIS_NONE, q_data_mass);
95 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
96
97 // QFunction - apply diff
98 CeedQFunctionCreateInteriorByName(ceed, "Poisson2DApply", &qf_diff);
99
100 // Operator - apply
101 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff);
102 CeedOperatorSetField(op_diff, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
103 CeedOperatorSetField(op_diff, "qdata", elem_restriction_q_data_diff, CEED_BASIS_NONE, q_data_diff);
104 CeedOperatorSetField(op_diff, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
105
106 // Composite operator
107 CeedOperatorCreateComposite(ceed, &op_apply);
108 CeedOperatorCompositeAddSub(op_apply, op_mass);
109 CeedOperatorCompositeAddSub(op_apply, op_diff);
110
111 // Assemble diagonal
112 CeedVectorCreate(ceed, num_dofs, &assembled);
113 CeedOperatorLinearAssembleDiagonal(op_apply, assembled, CEED_REQUEST_IMMEDIATE);
114
115 // Manually assemble diagonal
116 CeedVectorSetValue(u, 0.0);
117 for (int i = 0; i < num_dofs; i++) {
118 CeedScalar *u_array;
119 const CeedScalar *v_array;
120
121 // Set input
122 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array);
123 u_array[i] = 1.0;
124 if (i) u_array[i - 1] = 0.0;
125 CeedVectorRestoreArray(u, &u_array);
126
127 // Compute diag entry for DoF i
128 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE);
129
130 // Retrieve entry
131 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
132 assembled_true[i] = v_array[i];
133 CeedVectorRestoreArrayRead(v, &v_array);
134 }
135
136 // Check output
137 {
138 const CeedScalar *assembled_array;
139
140 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array);
141 for (int i = 0; i < num_dofs; i++) {
142 if (fabs(assembled_array[i] - assembled_true[i]) > 1000. * CEED_EPSILON) {
143 // LCOV_EXCL_START
144 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]);
145 // LCOV_EXCL_STOP
146 }
147 }
148 CeedVectorRestoreArrayRead(assembled, &assembled_array);
149 }
150
151 // Cleanup
152 CeedVectorDestroy(&x);
153 CeedVectorDestroy(&assembled);
154 CeedVectorDestroy(&q_data_mass);
155 CeedVectorDestroy(&q_data_diff);
156 CeedVectorDestroy(&u);
157 CeedVectorDestroy(&v);
158 CeedElemRestrictionDestroy(&elem_restriction_u);
159 CeedElemRestrictionDestroy(&elem_restriction_x);
160 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass);
161 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff);
162 CeedBasisDestroy(&basis_u);
163 CeedBasisDestroy(&basis_x);
164 CeedQFunctionDestroy(&qf_setup_mass);
165 CeedQFunctionDestroy(&qf_setup_diff);
166 CeedQFunctionDestroy(&qf_diff);
167 CeedQFunctionDestroy(&qf_mass);
168 CeedOperatorDestroy(&op_setup_mass);
169 CeedOperatorDestroy(&op_setup_diff);
170 CeedOperatorDestroy(&op_mass);
171 CeedOperatorDestroy(&op_diff);
172 CeedOperatorDestroy(&op_apply);
173 CeedDestroy(&ceed);
174 return 0;
175 }
176