xref: /libCEED/tests/t533-operator.c (revision 99837b8af49d68657458a57a35df01ab8cfd96a9)
1 /// @file
2 /// Test assembly of mass matrix operator diagonal
3 /// \test Test assembly of mass matrix operator diagonal
4 #include <ceed.h>
5 #include <math.h>
6 #include <stdio.h>
7 #include <stdlib.h>
8 
9 #include "t510-operator.h"
10 
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, assembled, u, v;
18   CeedInt             num_elem = 6, p = 3, q = 4, dim = 2;
19   CeedInt             nx = 3, ny = 2;
20   CeedInt             num_dofs = (nx * 2 + 1) * (ny * 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 < nx * 2 + 1; i++) {
32       for (CeedInt j = 0; j < ny * 2 + 1; j++) {
33         x_array[i + j * (nx * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * nx);
34         x_array[i + j * (nx * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * ny);
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);
42 
43   // Restrictions
44   for (CeedInt i = 0; i < num_elem; i++) {
45     CeedInt col, row, offset;
46     col    = i % nx;
47     row    = i / nx;
48     offset = col * (p - 1) + row * (nx * 2 + 1) * (p - 1);
49     for (CeedInt j = 0; j < p; j++) {
50       for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (nx * 2 + 1) + j;
51     }
52   }
53   CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x);
54   CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u);
55 
56   CeedInt strides_q_data[3] = {1, q * q, q * q};
57   CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data, &elem_restriction_q_data);
58 
59   // Bases
60   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x);
61   CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, 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", 1, CEED_EVAL_INTERP);
72   CeedQFunctionAddOutput(qf_mass, "v", 1, 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_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
78   CeedOperatorSetField(op_setup, "rho", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
79 
80   CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass);
81   CeedOperatorSetField(op_mass, "rho", elem_restriction_q_data, CEED_BASIS_NONE, q_data);
82   CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
83   CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
84 
85   // Apply Setup Operator
86   CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE);
87 
88   // Assemble diagonal
89   CeedVectorCreate(ceed, num_dofs, &assembled);
90   CeedOperatorLinearAssembleDiagonal(op_mass, assembled, CEED_REQUEST_IMMEDIATE);
91 
92   // Manually assemble diagonal
93   CeedVectorSetValue(u, 0.0);
94   for (CeedInt i = 0; i < num_dofs; i++) {
95     CeedScalar       *u_array;
96     const CeedScalar *v_array;
97 
98     // Set input
99     CeedVectorGetArray(u, CEED_MEM_HOST, &u_array);
100     u_array[i] = 1.0;
101     if (i) u_array[i - 1] = 0.0;
102     CeedVectorRestoreArray(u, &u_array);
103 
104     // Compute diag entry for DoF i
105     CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE);
106 
107     // Retrieve entry
108     CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
109     assembled_true[i] = v_array[i];
110     CeedVectorRestoreArrayRead(v, &v_array);
111   }
112 
113   // Check output
114   {
115     const CeedScalar *assembled_array;
116 
117     CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array);
118     for (CeedInt i = 0; i < num_dofs; i++) {
119       if (fabs(assembled_array[i] - assembled_true[i]) > 100. * CEED_EPSILON) {
120         // LCOV_EXCL_START
121         printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]);
122         // LCOV_EXCL_STOP
123       }
124     }
125     CeedVectorRestoreArrayRead(assembled, &assembled_array);
126   }
127 
128   // Cleanup
129   CeedVectorDestroy(&x);
130   CeedVectorDestroy(&assembled);
131   CeedVectorDestroy(&q_data);
132   CeedVectorDestroy(&u);
133   CeedVectorDestroy(&v);
134   CeedElemRestrictionDestroy(&elem_restriction_u);
135   CeedElemRestrictionDestroy(&elem_restriction_x);
136   CeedElemRestrictionDestroy(&elem_restriction_q_data);
137   CeedBasisDestroy(&basis_u);
138   CeedBasisDestroy(&basis_x);
139   CeedQFunctionDestroy(&qf_setup);
140   CeedQFunctionDestroy(&qf_mass);
141   CeedOperatorDestroy(&op_setup);
142   CeedOperatorDestroy(&op_mass);
143   CeedDestroy(&ceed);
144   return 0;
145 }
146