xref: /libCEED/tests/t552-operator.c (revision 5fb68f377259d3910de46d787b7c5d1587fd01e1)
1 /// @file
2 /// Test creation, action, and destruction for mass matrix operator with multigrid level, tensor basis
3 /// \test Test creation, action, and destruction for mass matrix operator with multigrid level, tensor basis
4 #include <ceed.h>
5 #include <math.h>
6 #include <stdlib.h>
7 
8 #include "t502-operator.h"
9 
10 int main(int argc, char **argv) {
11   Ceed                ceed;
12   CeedElemRestriction elem_restriction_x, elem_restriction_q_data, elem_restriction_u_coarse, elem_restr_coarse_fine;
13   CeedBasis           basis_x, basis_u;
14   CeedQFunction       qf_setup, qf_mass;
15   CeedOperator        op_setup, op_mass_coarse, op_mass_fine, op_prolong, op_restrict;
16   CeedVector          q_data, x, u_coarse, u_fine, v_coarse, v_fine, p_mult_fine;
17   CeedInt             num_elem = 15, p_coarse = 3, p_fine = 5, q = 8, num_comp = 2;
18   CeedInt             num_dofs_x = num_elem + 1, num_dofs_u_coarse = num_elem * (p_coarse - 1) + 1, num_dofs_u_fine = num_elem * (p_fine - 1) + 1;
19   CeedInt             ind_u_coarse[num_elem * p_coarse], ind_u_fine[num_elem * p_fine], ind_x[num_elem * 2];
20 
21   CeedInit(argv[1], &ceed);
22 
23   CeedVectorCreate(ceed, num_dofs_x, &x);
24   {
25     CeedScalar x_array[num_dofs_x];
26 
27     for (CeedInt i = 0; i < num_dofs_x; i++) x_array[i] = (CeedScalar)i / (num_dofs_x - 1);
28     CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
29   }
30   CeedVectorCreate(ceed, num_comp * num_dofs_u_fine, &p_mult_fine);
31   CeedVectorCreate(ceed, num_comp * num_dofs_u_coarse, &u_coarse);
32   CeedVectorCreate(ceed, num_comp * num_dofs_u_coarse, &v_coarse);
33   CeedVectorCreate(ceed, num_comp * num_dofs_u_fine, &u_fine);
34   CeedVectorCreate(ceed, num_comp * num_dofs_u_fine, &v_fine);
35   CeedVectorCreate(ceed, num_elem * q, &q_data);
36 
37   // Restrictions
38   for (CeedInt i = 0; i < num_elem; i++) {
39     ind_x[2 * i + 0] = i;
40     ind_x[2 * i + 1] = i + 1;
41   }
42   CeedElemRestrictionCreate(ceed, num_elem, 2, 1, 1, num_dofs_x, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x);
43 
44   for (CeedInt i = 0; i < num_elem; i++) {
45     for (CeedInt j = 0; j < p_coarse; j++) {
46       ind_u_coarse[p_coarse * i + j] = i * (p_coarse - 1) + j;
47     }
48   }
49   CeedElemRestrictionCreate(ceed, num_elem, p_coarse, num_comp, num_dofs_u_coarse, num_comp * num_dofs_u_coarse, CEED_MEM_HOST, CEED_USE_POINTER,
50                             ind_u_coarse, &elem_restriction_u_coarse);
51 
52   for (CeedInt i = 0; i < num_elem; i++) {
53     for (CeedInt j = 0; j < p_fine; j++) {
54       ind_u_fine[p_fine * i + j] = i * (p_fine - 1) + j;
55     }
56   }
57   CeedElemRestrictionCreate(ceed, num_elem, p_fine, num_comp, num_dofs_u_fine, num_comp * num_dofs_u_fine, CEED_MEM_HOST, CEED_USE_POINTER,
58                             ind_u_fine, &elem_restr_coarse_fine);
59 
60   CeedInt strides_q_data[3] = {1, q, q};
61   CeedElemRestrictionCreateStrided(ceed, num_elem, q, 1, q * num_elem, strides_q_data, &elem_restriction_q_data);
62 
63   // Bases
64   CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, 2, q, CEED_GAUSS, &basis_x);
65   CeedBasisCreateTensorH1Lagrange(ceed, 1, num_comp, p_fine, q, CEED_GAUSS, &basis_u);
66 
67   // QFunctions
68   CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
69   CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
70   CeedQFunctionAddInput(qf_setup, "dx", 1 * 1, CEED_EVAL_GRAD);
71   CeedQFunctionAddOutput(qf_setup, "q data", 1, CEED_EVAL_NONE);
72 
73   CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
74   CeedQFunctionAddInput(qf_mass, "q data", 1, CEED_EVAL_NONE);
75   CeedQFunctionAddInput(qf_mass, "u", num_comp, CEED_EVAL_INTERP);
76   CeedQFunctionAddOutput(qf_mass, "v", num_comp, CEED_EVAL_INTERP);
77 
78   // Operators
79   CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup);
80   CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
81   CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
82   CeedOperatorSetField(op_setup, "q data", elem_restriction_q_data, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
83 
84   CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_fine);
85   CeedOperatorSetField(op_mass_fine, "q data", elem_restriction_q_data, CEED_BASIS_COLLOCATED, q_data);
86   CeedOperatorSetField(op_mass_fine, "u", elem_restr_coarse_fine, basis_u, CEED_VECTOR_ACTIVE);
87   CeedOperatorSetField(op_mass_fine, "v", elem_restr_coarse_fine, basis_u, CEED_VECTOR_ACTIVE);
88 
89   CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE);
90 
91   // Create multigrid level
92   CeedVectorSetValue(p_mult_fine, 1.0);
93   CeedBasis basis_u_coarse, basis_coarse_to_fine;
94   CeedBasisCreateTensorH1Lagrange(ceed, 1, num_comp, p_coarse, q, CEED_GAUSS, &basis_u_coarse);
95   CeedBasisCreateTensorH1Lagrange(ceed, 1, num_comp, p_coarse, p_fine, CEED_GAUSS_LOBATTO, &basis_coarse_to_fine);
96   const CeedScalar *interp_coarse_to_fine;
97   CeedBasisGetInterp1D(basis_coarse_to_fine, &interp_coarse_to_fine);
98   CeedOperatorMultigridLevelCreateTensorH1(op_mass_fine, p_mult_fine, elem_restriction_u_coarse, basis_u_coarse, interp_coarse_to_fine,
99                                            &op_mass_coarse, &op_prolong, &op_restrict);
100 
101   // Coarse problem
102   CeedVectorSetValue(u_coarse, 1.0);
103   CeedOperatorApply(op_mass_coarse, u_coarse, v_coarse, CEED_REQUEST_IMMEDIATE);
104 
105   // Check output
106   {
107     const CeedScalar *v_array;
108     CeedScalar        sum = 0.;
109 
110     CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array);
111     for (CeedInt i = 0; i < num_comp * num_dofs_u_coarse; i++) {
112       sum += v_array[i];
113     }
114     CeedVectorRestoreArrayRead(v_coarse, &v_array);
115     if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 2.0\n", sum);
116   }
117 
118   // Prolong coarse u
119   CeedOperatorApply(op_prolong, u_coarse, u_fine, CEED_REQUEST_IMMEDIATE);
120 
121   // Fine problem
122   CeedOperatorApply(op_mass_fine, u_fine, v_fine, CEED_REQUEST_IMMEDIATE);
123 
124   // Check output
125   {
126     const CeedScalar *v_array;
127     CeedScalar        sum = 0.;
128     CeedVectorGetArrayRead(v_fine, CEED_MEM_HOST, &v_array);
129     for (CeedInt i = 0; i < num_comp * num_dofs_u_fine; i++) {
130       sum += v_array[i];
131     }
132     CeedVectorRestoreArrayRead(v_fine, &v_array);
133     if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Fine Grid: %f != True Area: 2.0\n", sum);
134   }
135 
136   // Restrict state to coarse grid
137   CeedOperatorApply(op_restrict, v_fine, v_coarse, CEED_REQUEST_IMMEDIATE);
138 
139   // Check output
140   {
141     const CeedScalar *v_array;
142     CeedScalar        sum = 0.;
143     CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array);
144     sum = 0.;
145     for (CeedInt i = 0; i < num_comp * num_dofs_u_coarse; i++) {
146       sum += v_array[i];
147     }
148     CeedVectorRestoreArrayRead(v_coarse, &v_array);
149     if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 2.0\n", sum);
150   }
151 
152   // Cleanup
153   CeedVectorDestroy(&x);
154   CeedVectorDestroy(&u_coarse);
155   CeedVectorDestroy(&u_fine);
156   CeedVectorDestroy(&v_coarse);
157   CeedVectorDestroy(&v_fine);
158   CeedVectorDestroy(&p_mult_fine);
159   CeedVectorDestroy(&q_data);
160   CeedElemRestrictionDestroy(&elem_restriction_u_coarse);
161   CeedElemRestrictionDestroy(&elem_restr_coarse_fine);
162   CeedElemRestrictionDestroy(&elem_restriction_x);
163   CeedElemRestrictionDestroy(&elem_restriction_q_data);
164   CeedBasisDestroy(&basis_u);
165   CeedBasisDestroy(&basis_x);
166   CeedQFunctionDestroy(&qf_setup);
167   CeedQFunctionDestroy(&qf_mass);
168   CeedOperatorDestroy(&op_setup);
169   CeedOperatorDestroy(&op_mass_coarse);
170   CeedOperatorDestroy(&op_mass_fine);
171   CeedOperatorDestroy(&op_prolong);
172   CeedOperatorDestroy(&op_restrict);
173   CeedDestroy(&ceed);
174   return 0;
175 }
176