1 /// @file
2 /// Test assembly of mass and Poisson operator diagonal
3 /// \test Test assembly of mass and Poisson operator diagonal
4 #include "t535-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_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, 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, &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 col = i % n_x;
48 row = i / n_x;
49 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1);
50 for (CeedInt j = 0; j < p; j++) {
51 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j;
52 }
53 }
54 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x);
55 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u);
56
57 CeedInt strides_q_data_mass[3] = {1, q * q, q * q};
58 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass);
59
60 CeedInt strides_q_data_diff[3] = {1, q * q, q * q * dim * (dim + 1) / 2};
61 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff,
62 &elem_restriction_q_data_diff);
63
64 // Bases
65 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x);
66 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u);
67
68 // QFunction - setup mass
69 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass);
70 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD);
71 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT);
72 CeedQFunctionAddOutput(qf_setup_mass, "q data", 1, CEED_EVAL_NONE);
73
74 // Operator - setup mass
75 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass);
76 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
77 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
78 CeedOperatorSetField(op_setup_mass, "q data", elem_restriction_q_data_mass, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
79
80 // QFunction - setup diff
81 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff);
82 CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD);
83 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT);
84 CeedQFunctionAddOutput(qf_setup_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE);
85
86 // Operator - setup diff
87 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff);
88 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
89 CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
90 CeedOperatorSetField(op_setup_diff, "q data", elem_restriction_q_data_diff, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
91
92 // Apply Setup Operators
93 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE);
94 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE);
95
96 // QFunction - apply
97 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply);
98 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD);
99 CeedQFunctionAddInput(qf_apply, "mass q data", 1, CEED_EVAL_NONE);
100 CeedQFunctionAddInput(qf_apply, "diff q data", dim * (dim + 1) / 2, CEED_EVAL_NONE);
101 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP);
102 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP);
103 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD);
104
105 // Operator - apply
106 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply);
107 CeedOperatorSetField(op_apply, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
108 CeedOperatorSetField(op_apply, "mass q data", elem_restriction_q_data_mass, CEED_BASIS_NONE, q_data_mass);
109 CeedOperatorSetField(op_apply, "diff q data", elem_restriction_q_data_diff, CEED_BASIS_NONE, q_data_diff);
110 CeedOperatorSetField(op_apply, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
111 CeedOperatorSetField(op_apply, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
112 CeedOperatorSetField(op_apply, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
113
114 // Assemble diagonal
115 CeedVectorCreate(ceed, num_dofs, &assembled);
116 CeedOperatorLinearAssembleDiagonal(op_apply, assembled, CEED_REQUEST_IMMEDIATE);
117
118 // Manually assemble diagonal
119 CeedVectorSetValue(u, 0.0);
120 for (int i = 0; i < num_dofs; i++) {
121 CeedScalar *u_array;
122 const CeedScalar *v_array;
123
124 // Set input
125 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array);
126 u_array[i] = 1.0;
127 if (i) u_array[i - 1] = 0.0;
128 CeedVectorRestoreArray(u, &u_array);
129
130 // Compute diag entry for DoF i
131 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE);
132
133 // Retrieve entry
134 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
135 assembled_true[i] = v_array[i];
136 CeedVectorRestoreArrayRead(v, &v_array);
137 }
138
139 // Check output
140 {
141 const CeedScalar *assembled_array;
142
143 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array);
144 for (int i = 0; i < num_dofs; i++) {
145 if (fabs(assembled_array[i] - assembled_true[i]) > 100. * CEED_EPSILON) {
146 // LCOV_EXCL_START
147 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]);
148 // LCOV_EXCL_STOP
149 }
150 }
151 CeedVectorRestoreArrayRead(assembled, &assembled_array);
152 }
153
154 // Cleanup
155 CeedVectorDestroy(&x);
156 CeedVectorDestroy(&assembled);
157 CeedVectorDestroy(&q_data_mass);
158 CeedVectorDestroy(&q_data_diff);
159 CeedVectorDestroy(&u);
160 CeedVectorDestroy(&v);
161 CeedElemRestrictionDestroy(&elem_restriction_u);
162 CeedElemRestrictionDestroy(&elem_restriction_x);
163 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass);
164 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff);
165 CeedBasisDestroy(&basis_u);
166 CeedBasisDestroy(&basis_x);
167 CeedQFunctionDestroy(&qf_setup_mass);
168 CeedQFunctionDestroy(&qf_setup_diff);
169 CeedQFunctionDestroy(&qf_apply);
170 CeedOperatorDestroy(&op_setup_mass);
171 CeedOperatorDestroy(&op_setup_diff);
172 CeedOperatorDestroy(&op_apply);
173 CeedDestroy(&ceed);
174 return 0;
175 }
176