xref: /libCEED/tests/t550-operator.c (revision 0126412d32e96658dcd899fe3d8b989fdf201e32)
1 /// @file
2 /// Test creation, action, and destruction for mass matrix operator with multigrid level, tensor basis and interpolation basis generation
3 /// \test Test creation, action, and destruction for mass matrix operator with multigrid level, tensor basis and interpolation basis generation
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_restriction_u_fine;
13   CeedBasis           basis_x, basis_u_coarse, basis_u_fine;
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_fine, &u_fine);
33   CeedVectorCreate(ceed, num_comp * num_dofs_u_coarse, &v_coarse);
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_restriction_u_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_coarse, q, CEED_GAUSS, &basis_u_coarse);
66   CeedBasisCreateTensorH1Lagrange(ceed, 1, num_comp, p_fine, q, CEED_GAUSS, &basis_u_fine);
67 
68   // QFunctions
69   CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
70   CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
71   CeedQFunctionAddInput(qf_setup, "dx", 1 * 1, CEED_EVAL_GRAD);
72   CeedQFunctionAddOutput(qf_setup, "q data", 1, CEED_EVAL_NONE);
73 
74   CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
75   CeedQFunctionAddInput(qf_mass, "q data", 1, CEED_EVAL_NONE);
76   CeedQFunctionAddInput(qf_mass, "u", num_comp, CEED_EVAL_INTERP);
77   CeedQFunctionAddOutput(qf_mass, "v", num_comp, CEED_EVAL_INTERP);
78 
79   // Operators
80   CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup);
81   CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
82   CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
83   CeedOperatorSetField(op_setup, "q data", elem_restriction_q_data, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
84 
85   CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_fine);
86   CeedOperatorSetField(op_mass_fine, "q data", elem_restriction_q_data, CEED_BASIS_COLLOCATED, q_data);
87   CeedOperatorSetField(op_mass_fine, "u", elem_restriction_u_fine, basis_u_fine, CEED_VECTOR_ACTIVE);
88   CeedOperatorSetField(op_mass_fine, "v", elem_restriction_u_fine, basis_u_fine, CEED_VECTOR_ACTIVE);
89 
90   CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE);
91 
92   // Create multigrid level
93   CeedVectorSetValue(p_mult_fine, 1.0);
94   CeedOperatorMultigridLevelCreate(op_mass_fine, p_mult_fine, elem_restriction_u_coarse, basis_u_coarse, &op_mass_coarse, &op_prolong, &op_restrict);
95 
96   // Coarse problem
97   CeedVectorSetValue(u_coarse, 1.0);
98   CeedOperatorApply(op_mass_coarse, u_coarse, v_coarse, CEED_REQUEST_IMMEDIATE);
99 
100   // Check output
101   {
102     const CeedScalar *v_array;
103     CeedScalar        sum = 0.;
104 
105     CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array);
106     for (CeedInt i = 0; i < num_comp * num_dofs_u_coarse; i++) {
107       sum += v_array[i];
108     }
109     CeedVectorRestoreArrayRead(v_coarse, &v_array);
110     if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 2.0\n", sum);
111   }
112 
113   // Prolong coarse u
114   CeedOperatorApply(op_prolong, u_coarse, u_fine, CEED_REQUEST_IMMEDIATE);
115 
116   // Fine problem
117   CeedOperatorApply(op_mass_fine, u_fine, v_fine, CEED_REQUEST_IMMEDIATE);
118 
119   // Check output
120   {
121     const CeedScalar *v_array;
122     CeedScalar        sum = 0.;
123 
124     CeedVectorGetArrayRead(v_fine, CEED_MEM_HOST, &v_array);
125     for (CeedInt i = 0; i < num_comp * num_dofs_u_fine; i++) {
126       sum += v_array[i];
127     }
128     CeedVectorRestoreArrayRead(v_fine, &v_array);
129 
130     if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Fine Grid: %f != True Area: 2.0\n", sum);
131   }
132   // Restrict state to coarse grid
133   CeedOperatorApply(op_restrict, v_fine, v_coarse, CEED_REQUEST_IMMEDIATE);
134 
135   // Check output
136   {
137     const CeedScalar *v_array;
138     CeedScalar        sum = 0.;
139 
140     CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array);
141     for (CeedInt i = 0; i < num_comp * num_dofs_u_coarse; i++) {
142       sum += v_array[i];
143     }
144     CeedVectorRestoreArrayRead(v_coarse, &v_array);
145     if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 2.0\n", sum);
146   }
147 
148   // Cleanup
149   CeedVectorDestroy(&x);
150   CeedVectorDestroy(&u_coarse);
151   CeedVectorDestroy(&u_fine);
152   CeedVectorDestroy(&v_coarse);
153   CeedVectorDestroy(&v_fine);
154   CeedVectorDestroy(&p_mult_fine);
155   CeedVectorDestroy(&q_data);
156   CeedElemRestrictionDestroy(&elem_restriction_u_coarse);
157   CeedElemRestrictionDestroy(&elem_restriction_u_fine);
158   CeedElemRestrictionDestroy(&elem_restriction_x);
159   CeedElemRestrictionDestroy(&elem_restriction_q_data);
160   CeedBasisDestroy(&basis_u_coarse);
161   CeedBasisDestroy(&basis_u_fine);
162   CeedBasisDestroy(&basis_x);
163   CeedQFunctionDestroy(&qf_setup);
164   CeedQFunctionDestroy(&qf_mass);
165   CeedOperatorDestroy(&op_setup);
166   CeedOperatorDestroy(&op_mass_coarse);
167   CeedOperatorDestroy(&op_mass_fine);
168   CeedOperatorDestroy(&op_prolong);
169   CeedOperatorDestroy(&op_restrict);
170   CeedDestroy(&ceed);
171   return 0;
172 }
173