xref: /libCEED/tests/t553-operator.c (revision 4fee36f0a30516a0b5ad51bf7eb3b32d83efd623)
1 /// @file
2 /// Test creation, action, and destruction for mass matrix operator with multigrid level, nontensor basis
3 /// \test Test creation, action, and destruction for mass matrix operator with multigrid level, nontensor basis
4 #include <ceed.h>
5 #include <math.h>
6 #include <stdlib.h>
7 
8 int main(int argc, char **argv) {
9   Ceed                ceed;
10   CeedElemRestriction elem_restriction_x, elem_restriction_q_data, elem_restriction_u_coarse, elem_restriction_u_fine;
11   CeedBasis           basis_x, basis_u;
12   CeedQFunction       qf_setup, qf_mass;
13   CeedOperator        op_setup, op_mass_coarse, op_mass_fine, op_prolong, op_restrict;
14   CeedVector          q_data, x, u_coarse, u_fine, v_coarse, v_fine, p_mult_fine;
15   CeedInt             num_elem = 15, p_coarse = 3, p_fine = 5, q = 8;
16   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;
17   CeedInt             ind_u_coarse[num_elem * p_coarse], ind_u_fine[num_elem * p_fine], ind_x[num_elem * 2];
18 
19   CeedInit(argv[1], &ceed);
20 
21   CeedVectorCreate(ceed, num_dofs_x, &x);
22   {
23     CeedScalar x_array[num_dofs_x];
24 
25     for (CeedInt i = 0; i < num_dofs_x; i++) x_array[i] = (CeedScalar)i / (num_dofs_x - 1);
26     CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
27   }
28   CeedVectorCreate(ceed, num_dofs_u_fine, &p_mult_fine);
29   CeedVectorCreate(ceed, num_dofs_u_coarse, &u_coarse);
30   CeedVectorCreate(ceed, num_dofs_u_coarse, &v_coarse);
31   CeedVectorCreate(ceed, num_dofs_u_fine, &u_fine);
32   CeedVectorCreate(ceed, num_dofs_u_fine, &v_fine);
33   CeedVectorCreate(ceed, num_elem * q, &q_data);
34 
35   // Restrictions
36   for (CeedInt i = 0; i < num_elem; i++) {
37     ind_x[2 * i + 0] = i;
38     ind_x[2 * i + 1] = i + 1;
39   }
40   CeedElemRestrictionCreate(ceed, num_elem, 2, 1, 1, num_dofs_x, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x);
41 
42   for (CeedInt i = 0; i < num_elem; i++) {
43     for (CeedInt j = 0; j < p_coarse; j++) {
44       ind_u_coarse[p_coarse * i + j] = i * (p_coarse - 1) + j;
45     }
46   }
47   CeedElemRestrictionCreate(ceed, num_elem, p_coarse, 1, 1, num_dofs_u_coarse, CEED_MEM_HOST, CEED_USE_POINTER, ind_u_coarse,
48                             &elem_restriction_u_coarse);
49 
50   for (CeedInt i = 0; i < num_elem; i++) {
51     for (CeedInt j = 0; j < p_fine; j++) {
52       ind_u_fine[p_fine * i + j] = i * (p_fine - 1) + j;
53     }
54   }
55   CeedElemRestrictionCreate(ceed, num_elem, p_fine, 1, 1, num_dofs_u_fine, CEED_MEM_HOST, CEED_USE_POINTER, ind_u_fine, &elem_restriction_u_fine);
56 
57   CeedInt strides_q_data[3] = {1, q, q};
58   CeedElemRestrictionCreateStrided(ceed, num_elem, q, 1, q * num_elem, strides_q_data, &elem_restriction_q_data);
59 
60   // Bases
61   CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, 2, q, CEED_GAUSS, &basis_x);
62   CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, p_fine, q, CEED_GAUSS, &basis_u);
63 
64   // QFunctions
65   CeedQFunctionCreateInteriorByName(ceed, "Mass1DBuild", &qf_setup);
66   CeedQFunctionCreateInteriorByName(ceed, "MassApply", &qf_mass);
67 
68   // Operators
69   CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup);
70 
71   CeedOperatorSetField(op_setup, "weights", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
72   CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
73   CeedOperatorSetField(op_setup, "qdata", elem_restriction_q_data, CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
74 
75   CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_fine);
76   CeedOperatorSetField(op_mass_fine, "qdata", elem_restriction_q_data, CEED_BASIS_COLLOCATED, q_data);
77   CeedOperatorSetField(op_mass_fine, "u", elem_restriction_u_fine, basis_u, CEED_VECTOR_ACTIVE);
78   CeedOperatorSetField(op_mass_fine, "v", elem_restriction_u_fine, basis_u, CEED_VECTOR_ACTIVE);
79 
80   CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE);
81 
82   // Create multigrid level
83   CeedVectorSetValue(p_mult_fine, 1.0);
84   CeedBasis basis_u_coarse, basis_coarse_to_fine;
85   CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, p_coarse, q, CEED_GAUSS, &basis_u_coarse);
86   CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, p_coarse, p_fine, CEED_GAUSS_LOBATTO, &basis_coarse_to_fine);
87   const CeedScalar *interp_coarse_to_fine;
88   CeedBasisGetInterp1D(basis_coarse_to_fine, &interp_coarse_to_fine);
89   CeedOperatorMultigridLevelCreateH1(op_mass_fine, p_mult_fine, elem_restriction_u_coarse, basis_u_coarse, interp_coarse_to_fine, &op_mass_coarse,
90                                      &op_prolong, &op_restrict);
91 
92   // Coarse problem
93   CeedVectorSetValue(u_coarse, 1.0);
94   CeedOperatorApply(op_mass_coarse, u_coarse, v_coarse, CEED_REQUEST_IMMEDIATE);
95 
96   // Check output
97   {
98     const CeedScalar *v_array;
99     CeedScalar        sum = 0.;
100 
101     CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array);
102     for (CeedInt i = 0; i < num_dofs_u_coarse; i++) {
103       sum += v_array[i];
104     }
105     CeedVectorRestoreArrayRead(v_coarse, &v_array);
106     if (fabs(sum - 1.) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 1.0\n", sum);
107   }
108 
109   // Prolong coarse u
110   CeedOperatorApply(op_prolong, u_coarse, u_fine, CEED_REQUEST_IMMEDIATE);
111 
112   // Fine problem
113   CeedOperatorApply(op_mass_fine, u_fine, v_fine, CEED_REQUEST_IMMEDIATE);
114 
115   // Check output
116   {
117     const CeedScalar *v_array;
118     CeedScalar        sum = 0.;
119 
120     CeedVectorGetArrayRead(v_fine, CEED_MEM_HOST, &v_array);
121     for (CeedInt i = 0; i < num_dofs_u_fine; i++) {
122       sum += v_array[i];
123     }
124     CeedVectorRestoreArrayRead(v_fine, &v_array);
125     if (fabs(sum - 1.) > 1000. * CEED_EPSILON) printf("Computed Area Fine Grid: %f != True Area: 1.0\n", sum);
126   }
127 
128   // Restrict state to coarse grid
129   CeedOperatorApply(op_restrict, v_fine, v_coarse, CEED_REQUEST_IMMEDIATE);
130 
131   // Check output
132   {
133     const CeedScalar *v_array;
134     CeedScalar        sum = 0.;
135 
136     CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array);
137     for (CeedInt i = 0; i < num_dofs_u_coarse; i++) {
138       sum += v_array[i];
139     }
140     CeedVectorRestoreArrayRead(v_coarse, &v_array);
141     if (fabs(sum - 1.) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 1.0\n", sum);
142   }
143 
144   // Cleanup
145   CeedVectorDestroy(&x);
146   CeedVectorDestroy(&u_coarse);
147   CeedVectorDestroy(&u_fine);
148   CeedVectorDestroy(&v_coarse);
149   CeedVectorDestroy(&v_fine);
150   CeedVectorDestroy(&p_mult_fine);
151   CeedVectorDestroy(&q_data);
152   CeedElemRestrictionDestroy(&elem_restriction_u_coarse);
153   CeedElemRestrictionDestroy(&elem_restriction_u_fine);
154   CeedElemRestrictionDestroy(&elem_restriction_x);
155   CeedElemRestrictionDestroy(&elem_restriction_q_data);
156   CeedBasisDestroy(&basis_u);
157   CeedBasisDestroy(&basis_u_coarse);
158   CeedBasisDestroy(&basis_coarse_to_fine);
159   CeedBasisDestroy(&basis_x);
160   CeedQFunctionDestroy(&qf_setup);
161   CeedQFunctionDestroy(&qf_mass);
162   CeedOperatorDestroy(&op_setup);
163   CeedOperatorDestroy(&op_mass_coarse);
164   CeedOperatorDestroy(&op_mass_fine);
165   CeedOperatorDestroy(&op_prolong);
166   CeedOperatorDestroy(&op_restrict);
167   CeedDestroy(&ceed);
168   return 0;
169 }
170