xref: /libCEED/tests/t551-operator.c (revision ca567da4bd07bc8e9c3c34f09a40e154feb42909)
1 /// @file
2 /// Test creation, action, and destruction for mass matrix operator with multigrid level, non-tensor basis and interpolation basis generation
3 /// \test Test creation, action, and destruction for mass matrix operator with multigrid level, non-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_coarse, basis_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_c = num_elem * (p_coarse - 1) + 1, num_dofs_u_f = 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_f, &p_mult_fine);
31   CeedVectorCreate(ceed, num_comp * num_dofs_u_c, &u_coarse);
32   CeedVectorCreate(ceed, num_comp * num_dofs_u_f, &u_fine);
33   CeedVectorCreate(ceed, num_comp * num_dofs_u_c, &v_coarse);
34   CeedVectorCreate(ceed, num_comp * num_dofs_u_f, &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_c, num_comp * num_dofs_u_c, CEED_MEM_HOST, CEED_USE_POINTER, ind_u_coarse,
50                             &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_f, num_comp * num_dofs_u_f, CEED_MEM_HOST, CEED_USE_POINTER, ind_u_fine,
58                             &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   {
66     CeedBasis basis_temporary;
67 
68     CeedBasisCreateTensorH1Lagrange(ceed, 1, num_comp, p_coarse, q, CEED_GAUSS, &basis_temporary);
69     const CeedScalar *interp, *grad, *q_ref, *q_weight;
70     CeedBasisGetInterp1D(basis_temporary, &interp);
71     CeedBasisGetGrad1D(basis_temporary, &grad);
72     CeedBasisGetQRef(basis_temporary, &q_ref);
73     CeedBasisGetQWeights(basis_temporary, &q_weight);
74     CeedBasisCreateH1(ceed, CEED_TOPOLOGY_LINE, num_comp, p_coarse, q, interp, grad, q_ref, q_weight, &basis_coarse);
75     CeedBasisDestroy(&basis_temporary);
76     CeedBasisCreateTensorH1Lagrange(ceed, 1, num_comp, p_fine, q, CEED_GAUSS, &basis_temporary);
77     CeedBasisGetInterp1D(basis_temporary, &interp);
78     CeedBasisGetGrad1D(basis_temporary, &grad);
79     CeedBasisGetQRef(basis_temporary, &q_ref);
80     CeedBasisGetQWeights(basis_temporary, &q_weight);
81     CeedBasisCreateH1(ceed, CEED_TOPOLOGY_LINE, num_comp, p_fine, q, interp, grad, q_ref, q_weight, &basis_fine);
82     CeedBasisDestroy(&basis_temporary);
83   }
84 
85   // QFunctions
86   CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
87   CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
88   CeedQFunctionAddInput(qf_setup, "dx", 1 * 1, CEED_EVAL_GRAD);
89   CeedQFunctionAddOutput(qf_setup, "q data", 1, CEED_EVAL_NONE);
90 
91   CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
92   CeedQFunctionAddInput(qf_mass, "q data", 1, CEED_EVAL_NONE);
93   CeedQFunctionAddInput(qf_mass, "u", num_comp, CEED_EVAL_INTERP);
94   CeedQFunctionAddOutput(qf_mass, "v", num_comp, CEED_EVAL_INTERP);
95 
96   // Operators
97   CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup);
98   CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
99   CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
100   CeedOperatorSetField(op_setup, "q data", elem_restriction_q_data, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
101 
102   CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_fine);
103   CeedOperatorSetField(op_mass_fine, "q data", elem_restriction_q_data, CEED_BASIS_COLLOCATED, q_data);
104   CeedOperatorSetField(op_mass_fine, "u", elem_restriction_u_fine, basis_fine, CEED_VECTOR_ACTIVE);
105   CeedOperatorSetField(op_mass_fine, "v", elem_restriction_u_fine, basis_fine, CEED_VECTOR_ACTIVE);
106 
107   CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE);
108 
109   // Create multigrid level
110   CeedVectorSetValue(p_mult_fine, 1.0);
111   CeedOperatorMultigridLevelCreate(op_mass_fine, p_mult_fine, elem_restriction_u_coarse, basis_coarse, &op_mass_coarse, &op_prolong, &op_restrict);
112 
113   // Coarse problem
114   CeedVectorSetValue(u_coarse, 1.0);
115   CeedOperatorApply(op_mass_coarse, u_coarse, v_coarse, CEED_REQUEST_IMMEDIATE);
116 
117   // Check output
118   {
119     const CeedScalar *v_array;
120     CeedScalar        sum = 0.;
121 
122     CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array);
123     for (CeedInt i = 0; i < num_comp * num_dofs_u_c; i++) {
124       sum += v_array[i];
125     }
126     CeedVectorRestoreArrayRead(v_coarse, &v_array);
127     if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 2.0\n", sum);
128   }
129 
130   // Prolong coarse u
131   CeedOperatorApply(op_prolong, u_coarse, u_fine, CEED_REQUEST_IMMEDIATE);
132 
133   // Fine problem
134   CeedOperatorApply(op_mass_fine, u_fine, v_fine, CEED_REQUEST_IMMEDIATE);
135 
136   // Check output
137   {
138     const CeedScalar *v_array;
139     CeedScalar        sum = 0.;
140 
141     CeedVectorGetArrayRead(v_fine, CEED_MEM_HOST, &v_array);
142     for (CeedInt i = 0; i < num_comp * num_dofs_u_f; i++) {
143       sum += v_array[i];
144     }
145     CeedVectorRestoreArrayRead(v_fine, &v_array);
146     if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Fine Grid: %f != True Area: 2.0\n", sum);
147   }
148 
149   // Restrict state to coarse grid
150   CeedOperatorApply(op_restrict, v_fine, v_coarse, CEED_REQUEST_IMMEDIATE);
151 
152   // Check output
153   {
154     const CeedScalar *v_array;
155     CeedScalar        sum = 0.;
156 
157     CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array);
158     for (CeedInt i = 0; i < num_comp * num_dofs_u_c; i++) {
159       sum += v_array[i];
160     }
161     CeedVectorRestoreArrayRead(v_coarse, &v_array);
162     if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 2.0\n", sum);
163   }
164 
165   // Cleanup
166   CeedVectorDestroy(&x);
167   CeedVectorDestroy(&u_coarse);
168   CeedVectorDestroy(&u_fine);
169   CeedVectorDestroy(&v_coarse);
170   CeedVectorDestroy(&v_fine);
171   CeedVectorDestroy(&p_mult_fine);
172   CeedVectorDestroy(&q_data);
173   CeedElemRestrictionDestroy(&elem_restriction_u_coarse);
174   CeedElemRestrictionDestroy(&elem_restriction_u_fine);
175   CeedElemRestrictionDestroy(&elem_restriction_x);
176   CeedElemRestrictionDestroy(&elem_restriction_q_data);
177   CeedBasisDestroy(&basis_coarse);
178   CeedBasisDestroy(&basis_fine);
179   CeedBasisDestroy(&basis_x);
180   CeedQFunctionDestroy(&qf_setup);
181   CeedQFunctionDestroy(&qf_mass);
182   CeedOperatorDestroy(&op_setup);
183   CeedOperatorDestroy(&op_mass_coarse);
184   CeedOperatorDestroy(&op_mass_fine);
185   CeedOperatorDestroy(&op_prolong);
186   CeedOperatorDestroy(&op_restrict);
187   CeedDestroy(&ceed);
188   return 0;
189 }
190