xref: /libCEED/tests/t564-operator.c (revision a9e65696a8c8214eb82d2dcf9ed1f28a32d2c94e)
1 /// @file
2 /// Test assembly of mass matrix operator (multi-component) see t537
3 /// \test Test assembly of mass matrix operator (multi-component)
4 #include <ceed.h>
5 #include <math.h>
6 #include <stdlib.h>
7 
8 #include "t537-operator.h"
9 
10 int main(int argc, char **argv) {
11   Ceed                ceed;
12   CeedElemRestriction elem_restr_x, elem_restr_u, elem_restr_qd_i;
13   CeedBasis           basis_x, basis_u;
14   CeedQFunction       qf_setup, qf_mass;
15   CeedOperator        op_setup, op_mass;
16   CeedVector          q_data, X, U, V;
17   CeedInt             P = 3, Q = 4, dim = 2, num_comp = 2;
18   CeedInt             n_x = 1, n_y = 1;
19   CeedInt             num_elem = n_x * n_y;
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[num_comp * num_comp * num_dofs * num_dofs];
23   CeedScalar          x[dim * num_dofs], assembled_true[num_comp * num_comp * num_dofs * num_dofs];
24   CeedScalar         *u;
25   const CeedScalar   *v;
26 
27   CeedInit(argv[1], &ceed);
28 
29   // DoF Coordinates
30   for (CeedInt i = 0; i < n_x * 2 + 1; i++) {
31     for (CeedInt j = 0; j < n_y * 2 + 1; j++) {
32       x[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x);
33       x[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y);
34     }
35   }
36   CeedVectorCreate(ceed, dim * num_dofs, &X);
37   CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x);
38 
39   // Qdata Vector
40   CeedVectorCreate(ceed, num_qpts, &q_data);
41 
42   // Element Setup
43   for (CeedInt i = 0; i < num_elem; i++) {
44     CeedInt col, row, offset;
45     col    = i % n_x;
46     row    = i / n_x;
47     offset = col * (P - 1) + row * (n_x * 2 + 1) * (P - 1);
48     for (CeedInt j = 0; j < P; j++) {
49       for (CeedInt k = 0; k < P; k++) ind_x[P * (P * i + k) + j] = offset + k * (n_x * 2 + 1) + j;
50     }
51   }
52 
53   // Restrictions
54   CeedElemRestrictionCreate(ceed, num_elem, P * P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x);
55   CeedElemRestrictionCreate(ceed, num_elem, P * P, num_comp, num_dofs, num_comp * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u);
56   CeedInt strides_qd[3] = {1, Q * Q, Q * Q};
57   CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, 1, num_qpts, strides_qd, &elem_restr_qd_i);
58 
59   // Bases
60   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x);
61   CeedBasisCreateTensorH1Lagrange(ceed, dim, num_comp, P, Q, CEED_GAUSS, &basis_u);
62 
63   // QFunctions
64   CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
65   CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
66   CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD);
67   CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE);
68 
69   CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
70   CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE);
71   CeedQFunctionAddInput(qf_mass, "u", num_comp, CEED_EVAL_INTERP);
72   CeedQFunctionAddOutput(qf_mass, "v", num_comp, CEED_EVAL_INTERP);
73 
74   // Operators
75   CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup);
76   CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
77   CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE);
78   CeedOperatorSetField(op_setup, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
79 
80   CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass);
81   CeedOperatorSetField(op_mass, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED, q_data);
82   CeedOperatorSetField(op_mass, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);
83   CeedOperatorSetField(op_mass, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);
84 
85   // Apply Setup Operator
86   CeedOperatorApply(op_setup, X, q_data, CEED_REQUEST_IMMEDIATE);
87 
88   // Fuly assemble operator
89   for (CeedInt k = 0; k < num_comp * num_comp * num_dofs * num_dofs; k++) {
90     assembled[k]      = 0.0;
91     assembled_true[k] = 0.0;
92   }
93   CeedSize   nentries;
94   CeedInt   *rows;
95   CeedInt   *cols;
96   CeedVector values;
97   CeedOperatorLinearAssembleSymbolic(op_mass, &nentries, &rows, &cols);
98   CeedVectorCreate(ceed, nentries, &values);
99   CeedOperatorLinearAssemble(op_mass, values);
100   const CeedScalar *vals;
101   CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals);
102   for (CeedInt k = 0; k < nentries; ++k) assembled[rows[k] * num_comp * num_dofs + cols[k]] += vals[k];
103   CeedVectorRestoreArrayRead(values, &vals);
104 
105   // Manually assemble operator
106   CeedVectorCreate(ceed, num_comp * num_dofs, &U);
107   CeedVectorSetValue(U, 0.0);
108   CeedVectorCreate(ceed, num_comp * num_dofs, &V);
109   CeedInt indOld = -1;
110   for (CeedInt j = 0; j < num_dofs * num_comp; j++) {
111     // Set input
112     CeedVectorGetArray(U, CEED_MEM_HOST, &u);
113     CeedInt ind = j;
114     u[ind]      = 1.0;
115     if (ind > 0) u[indOld] = 0.0;
116     indOld = ind;
117     CeedVectorRestoreArray(U, &u);
118 
119     // Compute effect of DoF j
120     CeedOperatorApply(op_mass, U, V, CEED_REQUEST_IMMEDIATE);
121 
122     CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v);
123     for (CeedInt k = 0; k < num_dofs * num_comp; k++) assembled_true[j * num_dofs * num_comp + k] = v[k];
124     CeedVectorRestoreArrayRead(V, &v);
125   }
126 
127   // Check output
128   for (CeedInt i = 0; i < num_comp * num_dofs; i++) {
129     for (CeedInt j = 0; j < num_comp * num_dofs; j++) {
130       if (fabs(assembled[j * num_dofs * num_comp + i] - assembled_true[j * num_dofs * num_comp + i]) > 100. * CEED_EPSILON) {
131         // LCOV_EXCL_START
132         printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled[j * num_dofs * num_comp + i],
133                assembled_true[j * num_dofs * num_comp + i]);
134         // LCOV_EXCL_STOP
135       }
136     }
137   }
138 
139   // Cleanup
140   free(rows);
141   free(cols);
142   CeedVectorDestroy(&values);
143   CeedQFunctionDestroy(&qf_setup);
144   CeedQFunctionDestroy(&qf_mass);
145   CeedOperatorDestroy(&op_setup);
146   CeedOperatorDestroy(&op_mass);
147   CeedElemRestrictionDestroy(&elem_restr_u);
148   CeedElemRestrictionDestroy(&elem_restr_x);
149   CeedElemRestrictionDestroy(&elem_restr_qd_i);
150   CeedBasisDestroy(&basis_u);
151   CeedBasisDestroy(&basis_x);
152   CeedVectorDestroy(&X);
153   CeedVectorDestroy(&q_data);
154   CeedVectorDestroy(&U);
155   CeedVectorDestroy(&V);
156   CeedDestroy(&ceed);
157   return 0;
158 }
159