1 /// @file
2 /// Test full assembly of non-symmetric mass matrix operator (multi-component) (see t537)
3 /// \test Test full assembly of non-symmetric mass matrix operator (multi-component)
4 #include "t566-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_mass;
16 CeedOperator op_setup, op_mass;
17 CeedVector q_data, x, u, v;
18 CeedInt p = 3, q = 3, 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 * (p - 1) + 1) * (n_y * (p - 1) + 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 * (p - 1) + 1; i++) {
34 for (CeedInt j = 0; j < n_y * (p - 1) + 1; j++) {
35 x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (n_x * (p - 1));
36 x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (n_y * (p - 1));
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
49 col = i % n_x;
50 row = i / n_x;
51 offset = col * (p - 1) + row * (n_x * (p - 1) + 1) * (p - 1);
52 for (CeedInt j = 0; j < p; j++) {
53 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * p + j;
54 }
55 }
56 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x);
57 CeedElemRestrictionCreate(ceed, num_elem, p * p, num_comp, num_dofs, num_comp * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x,
58 &elem_restriction_u);
59
60 CeedInt strides_q_data[3] = {1, q * q * num_elem, q * q};
61 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data, &elem_restriction_q_data);
62
63 // Bases
64 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x);
65 CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp, p, q, CEED_GAUSS, &basis_u);
66
67 // QFunctions
68 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
69 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
70 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD);
71 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE);
72
73 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
74 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE);
75 CeedQFunctionAddInput(qf_mass, "u", num_comp, CEED_EVAL_INTERP);
76 CeedQFunctionAddOutput(qf_mass, "v", num_comp, CEED_EVAL_INTERP);
77
78 // Operators
79 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup);
80 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
81 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
82 CeedOperatorSetField(op_setup, "rho", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
83
84 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass);
85 CeedOperatorSetField(op_mass, "rho", elem_restriction_q_data, CEED_BASIS_NONE, q_data);
86 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
87 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
88
89 // Apply Setup Operator
90 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE);
91
92 // Fuly assemble operator
93 CeedSize num_entries;
94 CeedInt *rows;
95 CeedInt *cols;
96 CeedVector assembled;
97
98 for (CeedInt k = 0; k < num_comp * num_comp * num_dofs * num_dofs; k++) {
99 assembled_values[k] = 0.0;
100 assembled_true[k] = 0.0;
101 }
102 CeedOperatorLinearAssembleSymbolic(op_mass, &num_entries, &rows, &cols);
103 CeedVectorCreate(ceed, num_entries, &assembled);
104 CeedOperatorLinearAssemble(op_mass, assembled);
105 {
106 const CeedScalar *assembled_array;
107
108 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array);
109 for (CeedInt k = 0; k < num_entries; k++) assembled_values[rows[k] * num_comp * num_dofs + cols[k]] += assembled_array[k];
110 CeedVectorRestoreArrayRead(assembled, &assembled_array);
111 }
112
113 // Manually assemble operator
114 CeedInt old_index = -1;
115
116 CeedVectorSetValue(u, 0.0);
117 for (CeedInt comp_in = 0; comp_in < num_comp; comp_in++) {
118 for (CeedInt node_in = 0; node_in < num_dofs; node_in++) {
119 CeedScalar *u_array;
120 const CeedScalar *v_array;
121
122 // Set input
123 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array);
124 CeedInt ind = node_in + comp_in * num_dofs;
125 u_array[ind] = 1.0;
126 if (ind > 0) u_array[old_index] = 0.0;
127 old_index = ind;
128 CeedVectorRestoreArray(u, &u_array);
129
130 // Compute effect of DoF ind
131 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE);
132
133 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
134 for (CeedInt i = 0; i < num_dofs * num_comp; i++) assembled_true[i * num_dofs * num_comp + ind] = v_array[i];
135 CeedVectorRestoreArrayRead(v, &v_array);
136 }
137 }
138
139 // Check output
140 for (CeedInt node_in = 0; node_in < num_dofs; node_in++) {
141 for (CeedInt comp_in = 0; comp_in < num_comp; comp_in++) {
142 for (CeedInt node_out = 0; node_out < num_dofs; node_out++) {
143 for (CeedInt comp_out = 0; comp_out < num_comp; comp_out++) {
144 const CeedInt index = (node_out + comp_out * num_dofs) * num_comp + node_in + comp_in * num_dofs;
145 const CeedScalar assembled_value = assembled_values[index];
146 const CeedScalar assembled_true_value = assembled_true[index];
147 if (fabs(assembled_value - assembled_true_value) > 100. * CEED_EPSILON) {
148 // LCOV_EXCL_START
149 printf("[(%" CeedInt_FMT ", %" CeedInt_FMT "), (%" CeedInt_FMT ", %" CeedInt_FMT ")] Error in assembly: %f != %f\n", node_out, comp_out,
150 node_in, comp_in, assembled_value, assembled_true_value);
151 // LCOV_EXCL_STOP
152 }
153 }
154 }
155 }
156 }
157
158 // Cleanup
159 free(rows);
160 free(cols);
161 CeedVectorDestroy(&assembled);
162 CeedVectorDestroy(&x);
163 CeedVectorDestroy(&q_data);
164 CeedVectorDestroy(&u);
165 CeedVectorDestroy(&v);
166 CeedElemRestrictionDestroy(&elem_restriction_u);
167 CeedElemRestrictionDestroy(&elem_restriction_x);
168 CeedElemRestrictionDestroy(&elem_restriction_q_data);
169 CeedBasisDestroy(&basis_u);
170 CeedBasisDestroy(&basis_x);
171 CeedQFunctionDestroy(&qf_setup);
172 CeedQFunctionDestroy(&qf_mass);
173 CeedOperatorDestroy(&op_setup);
174 CeedOperatorDestroy(&op_mass);
175 CeedDestroy(&ceed);
176 return 0;
177 }
178