1 /// @file
2 /// Test full assembly of mass matrix operator (multi-component) (see t537)
3 /// \test Test full assembly of mass matrix operator (multi-component)
4 #include <ceed.h>
5 #include <math.h>
6 #include <stdio.h>
7 #include <stdlib.h>
8
9 #include "t537-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;
14 CeedBasis basis_x, basis_u;
15 CeedQFunction qf_setup, qf_mass;
16 CeedOperator op_setup, op_mass;
17 CeedVector q_data, x, u, v;
18 CeedInt p = 3, q = 4, dim = 2, num_comp = 2;
19 CeedInt n_x = 1, n_y = 1;
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_comp * num_comp * num_dofs * num_dofs];
24 CeedScalar assembled_true[num_comp * num_comp * 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_comp * num_dofs, &u);
42 CeedVectorCreate(ceed, num_comp * num_dofs, &v);
43 CeedVectorCreate(ceed, num_qpts, &q_data);
44
45 // Restrictions
46 for (CeedInt i = 0; i < num_elem; i++) {
47 CeedInt col, row, offset;
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, num_comp, num_dofs, num_comp * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x,
57 &elem_restriction_u);
58
59 CeedInt strides_q_data[3] = {1, q * q, q * q};
60 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data, &elem_restriction_q_data);
61
62 // Bases
63 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x);
64 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp, p, q, CEED_GAUSS, &basis_u);
65
66 // QFunctions
67 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
68 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
69 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD);
70 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE);
71
72 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
73 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE);
74 CeedQFunctionAddInput(qf_mass, "u", num_comp, CEED_EVAL_INTERP);
75 CeedQFunctionAddOutput(qf_mass, "v", num_comp, CEED_EVAL_INTERP);
76
77 // Operators
78 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup);
79 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
80 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
81 CeedOperatorSetField(op_setup, "rho", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
82
83 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass);
84 CeedOperatorSetField(op_mass, "rho", elem_restriction_q_data, CEED_BASIS_NONE, q_data);
85 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
86 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
87
88 // Apply Setup Operator
89 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE);
90
91 // Fuly assemble operator
92 CeedSize num_entries;
93 CeedInt *rows;
94 CeedInt *cols;
95 CeedVector assembled;
96
97 for (CeedInt k = 0; k < num_comp * num_comp * num_dofs * num_dofs; k++) {
98 assembled_values[k] = 0.0;
99 assembled_true[k] = 0.0;
100 }
101 CeedOperatorLinearAssembleSymbolic(op_mass, &num_entries, &rows, &cols);
102 CeedVectorCreate(ceed, num_entries, &assembled);
103 CeedOperatorLinearAssemble(op_mass, assembled);
104 {
105 const CeedScalar *assembled_array;
106 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array);
107 for (CeedInt k = 0; k < num_entries; ++k) assembled_values[rows[k] * num_comp * num_dofs + cols[k]] += assembled_array[k];
108 CeedVectorRestoreArrayRead(assembled, &assembled_array);
109 }
110
111 // Manually assemble operator
112 CeedInt old_index = -1;
113
114 CeedVectorSetValue(u, 0.0);
115 for (CeedInt j = 0; j < num_dofs * num_comp; j++) {
116 CeedScalar *u_array;
117 const CeedScalar *v_array;
118
119 // Set input
120 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array);
121 CeedInt ind = j;
122
123 u_array[ind] = 1.0;
124 if (ind > 0) u_array[old_index] = 0.0;
125 old_index = ind;
126 CeedVectorRestoreArray(u, &u_array);
127
128 // Compute effect of DoF ind
129 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE);
130
131 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
132 for (CeedInt i = 0; i < num_dofs * num_comp; i++) assembled_true[i * num_dofs * num_comp + j] = v_array[i];
133 CeedVectorRestoreArrayRead(v, &v_array);
134 }
135
136 // Check output
137 for (CeedInt i = 0; i < num_comp * num_dofs; i++) {
138 for (CeedInt j = 0; j < num_comp * num_dofs; j++) {
139 if (fabs(assembled_values[i * num_dofs * num_comp + j] - assembled_true[i * num_dofs * num_comp + j]) > 100. * CEED_EPSILON) {
140 // LCOV_EXCL_START
141 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[i * num_dofs * num_comp + j],
142 assembled_true[i * num_dofs * num_comp + j]);
143 // LCOV_EXCL_STOP
144 }
145 }
146 }
147
148 // Cleanup
149 free(rows);
150 free(cols);
151 CeedVectorDestroy(&x);
152 CeedVectorDestroy(&q_data);
153 CeedVectorDestroy(&u);
154 CeedVectorDestroy(&v);
155 CeedVectorDestroy(&assembled);
156 CeedElemRestrictionDestroy(&elem_restriction_u);
157 CeedElemRestrictionDestroy(&elem_restriction_x);
158 CeedElemRestrictionDestroy(&elem_restriction_q_data);
159 CeedBasisDestroy(&basis_u);
160 CeedBasisDestroy(&basis_x);
161 CeedQFunctionDestroy(&qf_setup);
162 CeedQFunctionDestroy(&qf_mass);
163 CeedOperatorDestroy(&op_setup);
164 CeedOperatorDestroy(&op_mass);
165 CeedDestroy(&ceed);
166 return 0;
167 }
168