1 /// @file
2 /// Test full assembly of mass and Poisson operator (see t535)
3 /// \test Test full assembly of mass and Poisson operator
4 #include <ceed.h>
5 #include <math.h>
6 #include <stdio.h>
7 #include <stdlib.h>
8
9 #include "t535-operator.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_mass, elem_restriction_q_data_diff;
14 CeedBasis basis_x, basis_u;
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, u, v;
18 CeedInt p = 3, q = 4, dim = 2;
19 CeedInt n_x = 3, n_y = 2;
20 CeedInt num_elem = n_x * n_y;
21 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * q * q;
22 CeedInt ind_x[num_elem * p * p];
23 CeedScalar assembled_values[num_dofs * num_dofs];
24 CeedScalar assembled_true[num_dofs * num_dofs];
25
26 CeedInit(argv[1], &ceed);
27
28 // Vectors
29 CeedVectorCreate(ceed, dim * num_dofs, &x);
30 {
31 CeedScalar x_array[dim * num_dofs];
32
33 for (CeedInt i = 0; i < n_x * 2 + 1; i++) {
34 for (CeedInt j = 0; j < n_y * 2 + 1; j++) {
35 x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x);
36 x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y);
37 }
38 }
39 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
40 }
41 CeedVectorCreate(ceed, num_dofs, &u);
42 CeedVectorCreate(ceed, num_dofs, &v);
43 CeedVectorCreate(ceed, num_qpts, &q_data_mass);
44 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff);
45
46 // Restrictions
47 for (CeedInt i = 0; i < num_elem; i++) {
48 CeedInt column, row, offset;
49
50 column = i % n_x;
51 row = i / n_x;
52 offset = column * (p - 1) + row * (n_x * 2 + 1) * (p - 1);
53 for (CeedInt j = 0; j < p; j++) {
54 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j;
55 }
56 }
57 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x);
58 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u);
59
60 CeedInt strides_q_data_mass[3] = {1, q * q, q * q};
61 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass);
62
63 CeedInt strides_q_data_diff[3] = {1, q * q, q * q * dim * (dim + 1) / 2};
64 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff,
65 &elem_restriction_q_data_diff);
66
67 // Bases
68 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x);
69 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u);
70
71 // QFunction - setup mass
72 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass);
73 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD);
74 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT);
75 CeedQFunctionAddOutput(qf_setup_mass, "q data", 1, CEED_EVAL_NONE);
76
77 // Operator - setup mass
78 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass);
79 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
80 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
81 CeedOperatorSetField(op_setup_mass, "q data", elem_restriction_q_data_mass, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
82
83 // QFunction - setup diff
84 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff);
85 CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD);
86 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT);
87 CeedQFunctionAddOutput(qf_setup_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE);
88
89 // Operator - setup diff
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, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
93 CeedOperatorSetField(op_setup_diff, "q data", elem_restriction_q_data_diff, CEED_BASIS_NONE, 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", dim, CEED_EVAL_GRAD);
102 CeedQFunctionAddInput(qf_apply, "mass q data", 1, CEED_EVAL_NONE);
103 CeedQFunctionAddInput(qf_apply, "diff q data", dim * (dim + 1) / 2, CEED_EVAL_NONE);
104 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP);
105 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP);
106 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD);
107
108 // Operator - apply
109 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply);
110 CeedOperatorSetField(op_apply, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
111 CeedOperatorSetField(op_apply, "mass q data", elem_restriction_q_data_mass, CEED_BASIS_NONE, q_data_mass);
112 CeedOperatorSetField(op_apply, "diff q data", elem_restriction_q_data_diff, CEED_BASIS_NONE, q_data_diff);
113 CeedOperatorSetField(op_apply, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
114 CeedOperatorSetField(op_apply, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
115 CeedOperatorSetField(op_apply, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
116
117 // Fully assemble operator
118 CeedSize num_entries;
119 CeedInt *rows;
120 CeedInt *cols;
121 CeedVector assembled;
122
123 for (CeedInt k = 0; k < num_dofs * num_dofs; ++k) {
124 assembled_values[k] = 0.0;
125 assembled_true[k] = 0.0;
126 }
127 CeedOperatorLinearAssembleSymbolic(op_apply, &num_entries, &rows, &cols);
128 CeedVectorCreate(ceed, num_entries, &assembled);
129 CeedOperatorLinearAssemble(op_apply, assembled);
130 {
131 const CeedScalar *assembled_array;
132
133 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array);
134 for (CeedInt k = 0; k < num_entries; ++k) assembled_values[rows[k] * num_dofs + cols[k]] += assembled_array[k];
135 CeedVectorRestoreArrayRead(assembled, &assembled_array);
136 }
137
138 // Manually assemble operator
139 CeedVectorSetValue(u, 0.0);
140 for (CeedInt j = 0; j < num_dofs; j++) {
141 CeedScalar *u_array;
142 const CeedScalar *v_array;
143
144 // Set input
145 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array);
146 u_array[j] = 1.0;
147 if (j) u_array[j - 1] = 0.0;
148 CeedVectorRestoreArray(u, &u_array);
149
150 // Compute entries for column j
151 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE);
152
153 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
154 for (CeedInt i = 0; i < num_dofs; i++) assembled_true[i * num_dofs + j] = v_array[i];
155 CeedVectorRestoreArrayRead(v, &v_array);
156 }
157
158 // Check output
159 for (CeedInt i = 0; i < num_dofs; i++) {
160 for (CeedInt j = 0; j < num_dofs; j++) {
161 if (fabs(assembled_values[i * num_dofs + j] - assembled_true[i * num_dofs + j]) > 100. * CEED_EPSILON) {
162 // LCOV_EXCL_START
163 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[i * num_dofs + j],
164 assembled_true[i * num_dofs + j]);
165 // LCOV_EXCL_STOP
166 }
167 }
168 }
169
170 // Cleanup
171 free(rows);
172 free(cols);
173 CeedVectorDestroy(&x);
174 CeedVectorDestroy(&q_data_mass);
175 CeedVectorDestroy(&q_data_diff);
176 CeedVectorDestroy(&u);
177 CeedVectorDestroy(&v);
178 CeedVectorDestroy(&assembled);
179 CeedElemRestrictionDestroy(&elem_restriction_u);
180 CeedElemRestrictionDestroy(&elem_restriction_x);
181 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass);
182 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff);
183 CeedBasisDestroy(&basis_u);
184 CeedBasisDestroy(&basis_x);
185 CeedQFunctionDestroy(&qf_setup_mass);
186 CeedQFunctionDestroy(&qf_setup_diff);
187 CeedQFunctionDestroy(&qf_apply);
188 CeedOperatorDestroy(&op_setup_mass);
189 CeedOperatorDestroy(&op_setup_diff);
190 CeedOperatorDestroy(&op_apply);
191 CeedDestroy(&ceed);
192 return 0;
193 }
194