xref: /libCEED/tests/t533-operator.c (revision b0d170e7bc2e5c930ee481a47eb73044935a48a4)
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 <stdlib.h>
7 
8 #include "t510-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, A, U, V;
17   CeedInt             num_elem = 6, P = 3, Q = 4, dim = 2;
18   CeedInt             nx = 3, ny = 2;
19   CeedInt             num_dofs = (nx * 2 + 1) * (ny * 2 + 1), num_qpts = num_elem * Q * Q;
20   CeedInt             ind_x[num_elem * P * P];
21   CeedScalar          x[dim * num_dofs], assembled_true[num_dofs];
22   CeedScalar         *u;
23   const CeedScalar   *a, *v;
24 
25   CeedInit(argv[1], &ceed);
26 
27   // DoF Coordinates
28   for (CeedInt i = 0; i < nx * 2 + 1; i++)
29     for (CeedInt j = 0; j < ny * 2 + 1; j++) {
30       x[i + j * (nx * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * nx);
31       x[i + j * (nx * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * ny);
32     }
33   CeedVectorCreate(ceed, dim * num_dofs, &X);
34   CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x);
35 
36   // Qdata Vector
37   CeedVectorCreate(ceed, num_qpts, &q_data);
38 
39   // Element Setup
40   for (CeedInt i = 0; i < num_elem; i++) {
41     CeedInt col, row, offset;
42     col    = i % nx;
43     row    = i / nx;
44     offset = col * (P - 1) + row * (nx * 2 + 1) * (P - 1);
45     for (CeedInt j = 0; j < P; j++)
46       for (CeedInt k = 0; k < P; k++) ind_x[P * (P * i + k) + j] = offset + k * (nx * 2 + 1) + j;
47   }
48 
49   // Restrictions
50   CeedElemRestrictionCreate(ceed, num_elem, P * P, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x);
51 
52   CeedElemRestrictionCreate(ceed, num_elem, P * P, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_u);
53   CeedInt strides_qd[3] = {1, Q * Q, Q * Q};
54   CeedElemRestrictionCreateStrided(ceed, num_elem, Q * Q, 1, num_qpts, strides_qd, &elem_restr_qd_i);
55 
56   // Bases
57   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x);
58   CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u);
59 
60   // QFunctions
61   CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
62   CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
63   CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD);
64   CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE);
65 
66   CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
67   CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE);
68   CeedQFunctionAddInput(qf_mass, "u", 1, CEED_EVAL_INTERP);
69   CeedQFunctionAddOutput(qf_mass, "v", 1, CEED_EVAL_INTERP);
70 
71   // Operators
72   CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup);
73   CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
74   CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE);
75   CeedOperatorSetField(op_setup, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
76 
77   CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass);
78   CeedOperatorSetField(op_mass, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED, q_data);
79   CeedOperatorSetField(op_mass, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);
80   CeedOperatorSetField(op_mass, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);
81 
82   // Apply Setup Operator
83   CeedOperatorApply(op_setup, X, q_data, CEED_REQUEST_IMMEDIATE);
84 
85   // Assemble diagonal
86   CeedVectorCreate(ceed, num_dofs, &A);
87   CeedOperatorLinearAssembleDiagonal(op_mass, A, CEED_REQUEST_IMMEDIATE);
88 
89   // Manually assemble diagonal
90   CeedVectorCreate(ceed, num_dofs, &U);
91   CeedVectorSetValue(U, 0.0);
92   CeedVectorCreate(ceed, num_dofs, &V);
93   for (int i = 0; i < num_dofs; i++) {
94     // Set input
95     CeedVectorGetArray(U, CEED_MEM_HOST, &u);
96     u[i] = 1.0;
97     if (i) u[i - 1] = 0.0;
98     CeedVectorRestoreArray(U, &u);
99 
100     // Compute diag entry for DoF i
101     CeedOperatorApply(op_mass, U, V, CEED_REQUEST_IMMEDIATE);
102 
103     // Retrieve entry
104     CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v);
105     assembled_true[i] = v[i];
106     CeedVectorRestoreArrayRead(V, &v);
107   }
108 
109   // Check output
110   CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a);
111   for (int i = 0; i < num_dofs; i++)
112     if (fabs(a[i] - assembled_true[i]) > 100. * CEED_EPSILON)
113       // LCOV_EXCL_START
114       printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, a[i], assembled_true[i]);
115   // LCOV_EXCL_STOP
116   CeedVectorRestoreArrayRead(A, &a);
117 
118   // Cleanup
119   CeedQFunctionDestroy(&qf_setup);
120   CeedQFunctionDestroy(&qf_mass);
121   CeedOperatorDestroy(&op_setup);
122   CeedOperatorDestroy(&op_mass);
123   CeedElemRestrictionDestroy(&elem_restr_u);
124   CeedElemRestrictionDestroy(&elem_restr_x);
125   CeedElemRestrictionDestroy(&elem_restr_qd_i);
126   CeedBasisDestroy(&basis_u);
127   CeedBasisDestroy(&basis_x);
128   CeedVectorDestroy(&X);
129   CeedVectorDestroy(&A);
130   CeedVectorDestroy(&q_data);
131   CeedVectorDestroy(&U);
132   CeedVectorDestroy(&V);
133   CeedDestroy(&ceed);
134   return 0;
135 }
136