xref: /libCEED/tests/t533-operator.c (revision dcd0d0f3054a9244665ebd1f4480c81f2d63fee8)
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 <stdlib.h>
6 #include <math.h>
7 #include "t510-operator.h"
8 
9 int main(int argc, char **argv) {
10   Ceed ceed;
11   CeedElemRestriction elem_restr_x, elem_restr_u,
12                       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++)
47         ind_x[P*(P*i+k)+j] = offset + k*(nx*2+1) + j;
48   }
49 
50   // Restrictions
51   CeedElemRestrictionCreate(ceed, num_elem, P*P, dim, num_dofs, dim*num_dofs,
52                             CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restr_x);
53 
54   CeedElemRestrictionCreate(ceed, num_elem, P*P, 1, 1, num_dofs, CEED_MEM_HOST,
55                             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,
58                                    &elem_restr_qd_i);
59 
60   // Bases
61   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &basis_x);
62   CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &basis_u);
63 
64   // QFunctions
65   CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
66   CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
67   CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD);
68   CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE);
69 
70   CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
71   CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE);
72   CeedQFunctionAddInput(qf_mass, "u", 1, CEED_EVAL_INTERP);
73   CeedQFunctionAddOutput(qf_mass, "v", 1, CEED_EVAL_INTERP);
74 
75   // Operators
76   CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
77                      &op_setup);
78   CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x,
79                        CEED_VECTOR_NONE);
80   CeedOperatorSetField(op_setup, "dx", elem_restr_x, basis_x, CEED_VECTOR_ACTIVE);
81   CeedOperatorSetField(op_setup, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED,
82                        CEED_VECTOR_ACTIVE);
83 
84   CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
85                      &op_mass);
86   CeedOperatorSetField(op_mass, "rho", elem_restr_qd_i, CEED_BASIS_COLLOCATED,
87                        q_data);
88   CeedOperatorSetField(op_mass, "u", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);
89   CeedOperatorSetField(op_mass, "v", elem_restr_u, basis_u, CEED_VECTOR_ACTIVE);
90 
91   // Apply Setup Operator
92   CeedOperatorApply(op_setup, X, q_data, CEED_REQUEST_IMMEDIATE);
93 
94   // Assemble diagonal
95   CeedVectorCreate(ceed, num_dofs, &A);
96   CeedOperatorLinearAssembleDiagonal(op_mass, A, CEED_REQUEST_IMMEDIATE);
97 
98   // Manually assemble diagonal
99   CeedVectorCreate(ceed, num_dofs, &U);
100   CeedVectorSetValue(U, 0.0);
101   CeedVectorCreate(ceed, num_dofs, &V);
102   for (int i=0; i<num_dofs; i++) {
103     // Set input
104     CeedVectorGetArray(U, CEED_MEM_HOST, &u);
105     u[i] = 1.0;
106     if (i)
107       u[i-1] = 0.0;
108     CeedVectorRestoreArray(U, &u);
109 
110     // Compute diag entry for DoF i
111     CeedOperatorApply(op_mass, U, V, CEED_REQUEST_IMMEDIATE);
112 
113     // Retrieve entry
114     CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v);
115     assembled_true[i] = v[i];
116     CeedVectorRestoreArrayRead(V, &v);
117   }
118 
119   // Check output
120   CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a);
121   for (int i=0; i<num_dofs; i++)
122     if (fabs(a[i] - assembled_true[i]) > 100.*CEED_EPSILON)
123       // LCOV_EXCL_START
124       printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, a[i],
125              assembled_true[i]);
126   // LCOV_EXCL_STOP
127   CeedVectorRestoreArrayRead(A, &a);
128 
129   // Cleanup
130   CeedQFunctionDestroy(&qf_setup);
131   CeedQFunctionDestroy(&qf_mass);
132   CeedOperatorDestroy(&op_setup);
133   CeedOperatorDestroy(&op_mass);
134   CeedElemRestrictionDestroy(&elem_restr_u);
135   CeedElemRestrictionDestroy(&elem_restr_x);
136   CeedElemRestrictionDestroy(&elem_restr_qd_i);
137   CeedBasisDestroy(&basis_u);
138   CeedBasisDestroy(&basis_x);
139   CeedVectorDestroy(&X);
140   CeedVectorDestroy(&A);
141   CeedVectorDestroy(&q_data);
142   CeedVectorDestroy(&U);
143   CeedVectorDestroy(&V);
144   CeedDestroy(&ceed);
145   return 0;
146 }
147