1 /// @file
2 /// Test creation and use of FDM element inverse
3 /// \test Test creation and use of FDM element inverse
4 #include "t540-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_mass, qf_apply;
16 CeedOperator op_setup_mass, op_apply, op_inverse;
17 CeedVector q_data_mass, x, u, v;
18 CeedInt num_elem = 1, p = 4, q = 5, dim = 2;
19 CeedInt num_dofs = p * p, num_qpts = num_elem * q * q;
20
21 CeedInit(argv[1], &ceed);
22
23 // Vectors
24 CeedVectorCreate(ceed, dim * num_elem * (2 * 2), &x);
25 {
26 CeedScalar x_array[dim * num_elem * (2 * 2)];
27
28 for (CeedInt i = 0; i < 2; i++) {
29 for (CeedInt j = 0; j < 2; j++) {
30 x_array[i + j * 2 + 0 * 4] = i;
31 x_array[i + j * 2 + 1 * 4] = j;
32 }
33 }
34 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
35 }
36 CeedVectorCreate(ceed, num_dofs, &u);
37 CeedVectorCreate(ceed, num_dofs, &v);
38 CeedVectorCreate(ceed, num_qpts, &q_data_mass);
39
40 // Restrictions
41 CeedInt strides_x[3] = {1, 2 * 2, 2 * 2 * dim};
42 CeedElemRestrictionCreateStrided(ceed, num_elem, 2 * 2, dim, dim * num_elem * 2 * 2, strides_x, &elem_restriction_x);
43
44 CeedInt strides_u[3] = {1, p * p, p * p};
45 CeedElemRestrictionCreateStrided(ceed, num_elem, p * p, 1, num_dofs, strides_u, &elem_restriction_u);
46
47 CeedInt strides_q_data[3] = {1, q * q, q * q};
48 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data, &elem_restriction_q_data);
49
50 // Bases
51 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, 2, q, CEED_GAUSS, &basis_x);
52 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u);
53
54 // QFunction - setup mass
55 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass);
56 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD);
57 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT);
58 CeedQFunctionAddOutput(qf_setup_mass, "q data", 1, CEED_EVAL_NONE);
59
60 // Operator - setup mass
61 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass);
62 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
63 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
64 CeedOperatorSetField(op_setup_mass, "q data", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
65
66 // Apply Setup Operator
67 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE);
68
69 // QFunction - apply
70 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply);
71 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP);
72 CeedQFunctionAddInput(qf_apply, "mass q data", 1, CEED_EVAL_NONE);
73 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP);
74
75 // Operator - apply
76 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply);
77 CeedOperatorSetField(op_apply, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
78 CeedOperatorSetField(op_apply, "mass q data", elem_restriction_q_data, CEED_BASIS_NONE, q_data_mass);
79 CeedOperatorSetField(op_apply, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
80
81 // Apply original operator
82 CeedVectorSetValue(u, 1.0);
83 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE);
84
85 // Create FDM element inverse
86 CeedOperatorCreateFDMElementInverse(op_apply, &op_inverse, CEED_REQUEST_IMMEDIATE);
87
88 // Apply FDM element inverse
89 CeedOperatorApply(op_inverse, v, u, CEED_REQUEST_IMMEDIATE);
90
91 // Check output
92 {
93 const CeedScalar *u_array;
94
95 CeedVectorGetArrayRead(u, CEED_MEM_HOST, &u_array);
96 for (int i = 0; i < num_dofs; i++) {
97 if (fabs(u_array[i] - 1.0) > 500. * CEED_EPSILON) {
98 // LCOV_EXCL_START
99 printf("[%" CeedInt_FMT "] Error in inverse: %e - 1.0 = %e\n", i, u_array[i], u_array[i] - 1.);
100 // LCOV_EXCL_STOP
101 }
102 }
103 CeedVectorRestoreArrayRead(u, &u_array);
104 }
105
106 // Cleanup
107 CeedVectorDestroy(&x);
108 CeedVectorDestroy(&q_data_mass);
109 CeedVectorDestroy(&u);
110 CeedVectorDestroy(&v);
111 CeedElemRestrictionDestroy(&elem_restriction_u);
112 CeedElemRestrictionDestroy(&elem_restriction_x);
113 CeedElemRestrictionDestroy(&elem_restriction_q_data);
114 CeedBasisDestroy(&basis_u);
115 CeedBasisDestroy(&basis_x);
116 CeedQFunctionDestroy(&qf_setup_mass);
117 CeedQFunctionDestroy(&qf_apply);
118 CeedOperatorDestroy(&op_setup_mass);
119 CeedOperatorDestroy(&op_apply);
120 CeedOperatorDestroy(&op_inverse);
121 CeedDestroy(&ceed);
122 return 0;
123 }
124