1 /// @file
2 /// Test assembly of Poisson operator diagonal
3 /// \test Test assembly of Poisson operator diagonal
4 #include "t534-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, elem_restriction_q_data;
14 CeedBasis basis_x, basis_u;
15 CeedQFunction qf_setup, qf_diff;
16 CeedOperator op_setup, op_diff;
17 CeedVector q_data, x, assembled, u, v;
18 CeedInt num_elem = 6, p = 3, q = 4, dim = 2;
19 CeedInt n_x = 3, n_y = 2;
20 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * q * q;
21 CeedInt ind_x[num_elem * p * p];
22 CeedScalar assembled_true[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 * dim * (dim + 1) / 2, &q_data);
42
43 // Restrictions
44 for (CeedInt i = 0; i < num_elem; i++) {
45 CeedInt col, row, offset;
46 col = i % n_x;
47 row = i / n_x;
48 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1);
49 for (CeedInt j = 0; j < p; j++) {
50 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j;
51 }
52 }
53 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x);
54 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u);
55
56 CeedInt strides_q_data[3] = {1, q * q, q * q * dim * (dim + 1) / 2};
57 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data,
58 &elem_restriction_q_data);
59
60 // Bases
61 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x);
62 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u);
63
64 // QFunction - setup
65 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
66 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD);
67 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
68 CeedQFunctionAddOutput(qf_setup, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE);
69
70 // Operator - setup
71 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup);
72 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
73 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
74 CeedOperatorSetField(op_setup, "q data", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
75
76 // Apply Setup Operator
77 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE);
78
79 // QFunction - apply
80 CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff);
81 CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD);
82 CeedQFunctionAddInput(qf_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE);
83 CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD);
84
85 // Operator - apply
86 CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff);
87 CeedOperatorSetField(op_diff, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
88 CeedOperatorSetField(op_diff, "q data", elem_restriction_q_data, CEED_BASIS_NONE, q_data);
89 CeedOperatorSetField(op_diff, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
90
91 // Assemble diagonal
92 CeedVectorCreate(ceed, num_dofs, &assembled);
93 CeedOperatorLinearAssembleDiagonal(op_diff, assembled, CEED_REQUEST_IMMEDIATE);
94
95 // Manually assemble diagonal
96 CeedVectorSetValue(u, 0.0);
97 for (int i = 0; i < num_dofs; i++) {
98 CeedScalar *u_array;
99 const CeedScalar *v_array;
100
101 // Set input
102 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array);
103 u_array[i] = 1.0;
104 if (i) u_array[i - 1] = 0.0;
105 CeedVectorRestoreArray(u, &u_array);
106
107 // Compute diag entry for DoF i
108 CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE);
109
110 // Retrieve entry
111 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
112 assembled_true[i] = v_array[i];
113 CeedVectorRestoreArrayRead(v, &v_array);
114 }
115
116 // Check output
117 {
118 const CeedScalar *assembled_array;
119
120 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array);
121 for (int i = 0; i < num_dofs; i++) {
122 if (fabs(assembled_array[i] - assembled_true[i]) > 1000. * CEED_EPSILON) {
123 // LCOV_EXCL_START
124 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]);
125 // LCOV_EXCL_STOP
126 }
127 }
128 CeedVectorRestoreArrayRead(assembled, &assembled_array);
129 }
130
131 // Cleanup
132 CeedVectorDestroy(&x);
133 CeedVectorDestroy(&assembled);
134 CeedVectorDestroy(&q_data);
135 CeedVectorDestroy(&u);
136 CeedVectorDestroy(&v);
137 CeedElemRestrictionDestroy(&elem_restriction_u);
138 CeedElemRestrictionDestroy(&elem_restriction_x);
139 CeedElemRestrictionDestroy(&elem_restriction_q_data);
140 CeedBasisDestroy(&basis_u);
141 CeedBasisDestroy(&basis_x);
142 CeedQFunctionDestroy(&qf_setup);
143 CeedQFunctionDestroy(&qf_diff);
144 CeedOperatorDestroy(&op_setup);
145 CeedOperatorDestroy(&op_diff);
146 CeedDestroy(&ceed);
147 return 0;
148 }
149