xref: /libCEED/tests/t522-operator.c (revision 2b730f8b5a9c809740a0b3b302db43a719c636b1)
1 /// @file
2 /// Test creation, action, and destruction for diffusion matrix operator
3 /// \test Test creation, action, and destruction for diffusion matrix operator
4 #include "t522-operator.h"
5 
6 #include <ceed.h>
7 #include <math.h>
8 #include <stdlib.h>
9 
10 #include "t320-basis.h"
11 
12 /* The mesh comprises of two rows of 3 quadralaterals followed by one row
13      of 6 triangles:
14    _ _ _
15   |_|_|_|
16   |_|_|_|
17   |/|/|/|
18 
19 */
20 
21 int main(int argc, char **argv) {
22   Ceed                ceed;
23   CeedElemRestriction elem_restr_x_tet, elem_restr_u_tet, elem_restr_qd_i_tet, elem_restr_x_hex, elem_restr_u_hex, elem_restr_qd_i_hex;
24   CeedBasis           basis_x_tet, basis_u_tet, basis_x_hex, basis_u_hex;
25   CeedQFunction       qf_setup_tet, qf_diff_tet, qf_setup_hex, qf_diff_hex;
26   CeedOperator        op_setup_tet, op_diff_tet, op_setup_hex, op_diff_hex, op_setup, op_diff;
27   CeedVector          q_data_tet, q_data_hex, X, U, V;
28   const CeedScalar   *hv;
29   CeedInt             num_elem_tet = 6, P_tet = 6, Q_tet = 4, num_elem_hex = 6, P_hex = 3, Q_hex = 4, dim = 2;
30   CeedInt             n_x = 3, n_y = 3, n_x_tet = 3, n_y_tet = 1, n_x_hex = 3;
31   CeedInt             row, col, offset;
32   CeedInt             num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts_tet = num_elem_tet * Q_tet, num_qpts_hex = num_elem_hex * Q_hex * Q_hex;
33   CeedInt             ind_x_tet[num_elem_tet * P_tet], ind_x_hex[num_elem_hex * P_hex * P_hex];
34   CeedScalar          x[dim * num_dofs];
35   CeedScalar          q_ref[dim * Q_tet], q_weight[Q_tet];
36   CeedScalar          interp[P_tet * Q_tet], grad[dim * P_tet * Q_tet];
37 
38   CeedInit(argv[1], &ceed);
39 
40   // DoF Coordinates
41   for (CeedInt i = 0; i < n_y * 2 + 1; i++) {
42     for (CeedInt j = 0; j < n_x * 2 + 1; j++) {
43       x[i + j * (n_y * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_y);
44       x[i + j * (n_y * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_x);
45     }
46   }
47   CeedVectorCreate(ceed, dim * num_dofs, &X);
48   CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x);
49 
50   // Qdata Vectors
51   CeedVectorCreate(ceed, num_qpts_tet * dim * (dim + 1) / 2, &q_data_tet);
52   CeedVectorCreate(ceed, num_qpts_hex * dim * (dim + 1) / 2, &q_data_hex);
53 
54   // Tet Elements
55   for (CeedInt i = 0; i < num_elem_tet / 2; i++) {
56     col    = i % n_x_tet;
57     row    = i / n_x_tet;
58     offset = col * 2 + row * (n_x_tet * 2 + 1) * 2;
59 
60     ind_x_tet[i * 2 * P_tet + 0] = 2 + offset;
61     ind_x_tet[i * 2 * P_tet + 1] = 9 + offset;
62     ind_x_tet[i * 2 * P_tet + 2] = 16 + offset;
63     ind_x_tet[i * 2 * P_tet + 3] = 1 + offset;
64     ind_x_tet[i * 2 * P_tet + 4] = 8 + offset;
65     ind_x_tet[i * 2 * P_tet + 5] = 0 + offset;
66 
67     ind_x_tet[i * 2 * P_tet + 6]  = 14 + offset;
68     ind_x_tet[i * 2 * P_tet + 7]  = 7 + offset;
69     ind_x_tet[i * 2 * P_tet + 8]  = 0 + offset;
70     ind_x_tet[i * 2 * P_tet + 9]  = 15 + offset;
71     ind_x_tet[i * 2 * P_tet + 10] = 8 + offset;
72     ind_x_tet[i * 2 * P_tet + 11] = 16 + offset;
73   }
74 
75   // -- Restrictions
76   CeedElemRestrictionCreate(ceed, num_elem_tet, P_tet, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, &elem_restr_x_tet);
77 
78   CeedElemRestrictionCreate(ceed, num_elem_tet, P_tet, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, &elem_restr_u_tet);
79   CeedInt strides_qd_tet[3] = {1, Q_tet, Q_tet * dim * (dim + 1) / 2};
80   CeedElemRestrictionCreateStrided(ceed, num_elem_tet, Q_tet, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts_tet, strides_qd_tet,
81                                    &elem_restr_qd_i_tet);
82 
83   // -- Bases
84   buildmats(q_ref, q_weight, interp, grad);
85   CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, P_tet, Q_tet, interp, grad, q_ref, q_weight, &basis_x_tet);
86 
87   buildmats(q_ref, q_weight, interp, grad);
88   CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, P_tet, Q_tet, interp, grad, q_ref, q_weight, &basis_u_tet);
89 
90   // -- QFunctions
91   CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_tet);
92   CeedQFunctionAddInput(qf_setup_tet, "weight", 1, CEED_EVAL_WEIGHT);
93   CeedQFunctionAddInput(qf_setup_tet, "dx", dim * dim, CEED_EVAL_GRAD);
94   CeedQFunctionAddOutput(qf_setup_tet, "rho", dim * (dim + 1) / 2, CEED_EVAL_NONE);
95 
96   CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff_tet);
97   CeedQFunctionAddInput(qf_diff_tet, "rho", dim * (dim + 1) / 2, CEED_EVAL_NONE);
98   CeedQFunctionAddInput(qf_diff_tet, "u", dim, CEED_EVAL_GRAD);
99   CeedQFunctionAddOutput(qf_diff_tet, "v", dim, CEED_EVAL_GRAD);
100 
101   // -- Operators
102   // ---- Setup Tet
103   CeedOperatorCreate(ceed, qf_setup_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_tet);
104   CeedOperatorSetField(op_setup_tet, "weight", CEED_ELEMRESTRICTION_NONE, basis_x_tet, CEED_VECTOR_NONE);
105   CeedOperatorSetField(op_setup_tet, "dx", elem_restr_x_tet, basis_x_tet, CEED_VECTOR_ACTIVE);
106   CeedOperatorSetField(op_setup_tet, "rho", elem_restr_qd_i_tet, CEED_BASIS_COLLOCATED, q_data_tet);
107   // ---- diff Tet
108   CeedOperatorCreate(ceed, qf_diff_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff_tet);
109   CeedOperatorSetField(op_diff_tet, "rho", elem_restr_qd_i_tet, CEED_BASIS_COLLOCATED, q_data_tet);
110   CeedOperatorSetField(op_diff_tet, "u", elem_restr_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE);
111   CeedOperatorSetField(op_diff_tet, "v", elem_restr_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE);
112 
113   // Hex Elements
114   for (CeedInt i = 0; i < num_elem_hex; i++) {
115     col    = i % n_x_hex;
116     row    = i / n_x_hex;
117     offset = (n_x_tet * 2 + 1) * (n_y_tet * 2) * (1 + row) + col * 2;
118     for (CeedInt j = 0; j < P_hex; j++) {
119       for (CeedInt k = 0; k < P_hex; k++) ind_x_hex[P_hex * (P_hex * i + k) + j] = offset + k * (n_x_hex * 2 + 1) + j;
120     }
121   }
122 
123   // -- Restrictions
124   CeedElemRestrictionCreate(ceed, num_elem_hex, P_hex * P_hex, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_hex,
125                             &elem_restr_x_hex);
126 
127   CeedElemRestrictionCreate(ceed, num_elem_hex, P_hex * P_hex, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_hex, &elem_restr_u_hex);
128   CeedInt strides_qd_hex[3] = {1, Q_hex * Q_hex, Q_hex * Q_hex * dim * (dim + 1) / 2};
129   CeedElemRestrictionCreateStrided(ceed, num_elem_hex, Q_hex * Q_hex, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts_hex, strides_qd_hex,
130                                    &elem_restr_qd_i_hex);
131 
132   // -- Bases
133   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P_hex, Q_hex, CEED_GAUSS, &basis_x_hex);
134   CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P_hex, Q_hex, CEED_GAUSS, &basis_u_hex);
135 
136   // -- QFunctions
137   CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_hex);
138   CeedQFunctionAddInput(qf_setup_hex, "_weight", 1, CEED_EVAL_WEIGHT);
139   CeedQFunctionAddInput(qf_setup_hex, "dx", dim * dim, CEED_EVAL_GRAD);
140   CeedQFunctionAddOutput(qf_setup_hex, "rho", dim * (dim + 1) / 2, CEED_EVAL_NONE);
141 
142   CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff_hex);
143   CeedQFunctionAddInput(qf_diff_hex, "rho", dim * (dim + 1) / 2, CEED_EVAL_NONE);
144   CeedQFunctionAddInput(qf_diff_hex, "u", dim, CEED_EVAL_GRAD);
145   CeedQFunctionAddOutput(qf_diff_hex, "v", dim, CEED_EVAL_GRAD);
146 
147   // -- Operators
148   CeedOperatorCreate(ceed, qf_setup_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_hex);
149   CeedOperatorSetField(op_setup_hex, "_weight", CEED_ELEMRESTRICTION_NONE, basis_x_hex, CEED_VECTOR_NONE);
150   CeedOperatorSetField(op_setup_hex, "dx", elem_restr_x_hex, basis_x_hex, CEED_VECTOR_ACTIVE);
151   CeedOperatorSetField(op_setup_hex, "rho", elem_restr_qd_i_hex, CEED_BASIS_COLLOCATED, q_data_hex);
152 
153   CeedOperatorCreate(ceed, qf_diff_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_diff_hex);
154   CeedOperatorSetField(op_diff_hex, "rho", elem_restr_qd_i_hex, CEED_BASIS_COLLOCATED, q_data_hex);
155   CeedOperatorSetField(op_diff_hex, "u", elem_restr_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE);
156   CeedOperatorSetField(op_diff_hex, "v", elem_restr_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE);
157 
158   // Composite Operators
159   CeedCompositeOperatorCreate(ceed, &op_setup);
160   CeedCompositeOperatorAddSub(op_setup, op_setup_tet);
161   CeedCompositeOperatorAddSub(op_setup, op_setup_hex);
162 
163   CeedCompositeOperatorCreate(ceed, &op_diff);
164   CeedCompositeOperatorAddSub(op_diff, op_diff_tet);
165   CeedCompositeOperatorAddSub(op_diff, op_diff_hex);
166 
167   // Apply Setup Operator
168   CeedOperatorApply(op_setup, X, CEED_VECTOR_NONE, CEED_REQUEST_IMMEDIATE);
169 
170   // Apply diff Operator
171   CeedVectorCreate(ceed, num_dofs, &U);
172   CeedVectorSetValue(U, 1.0);
173   CeedVectorCreate(ceed, num_dofs, &V);
174 
175   CeedOperatorApply(op_diff, U, V, CEED_REQUEST_IMMEDIATE);
176 
177   // Check output
178   CeedVectorGetArrayRead(V, CEED_MEM_HOST, &hv);
179   for (CeedInt i = 0; i < num_dofs; i++) {
180     if (fabs(hv[i]) > 100. * CEED_EPSILON) printf("Computed: %f != True: 0.0\n", hv[i]);
181   }
182   CeedVectorRestoreArrayRead(V, &hv);
183 
184   // Cleanup
185   CeedQFunctionDestroy(&qf_setup_tet);
186   CeedQFunctionDestroy(&qf_diff_tet);
187   CeedOperatorDestroy(&op_setup_tet);
188   CeedOperatorDestroy(&op_diff_tet);
189   CeedQFunctionDestroy(&qf_setup_hex);
190   CeedQFunctionDestroy(&qf_diff_hex);
191   CeedOperatorDestroy(&op_setup_hex);
192   CeedOperatorDestroy(&op_diff_hex);
193   CeedOperatorDestroy(&op_setup);
194   CeedOperatorDestroy(&op_diff);
195   CeedElemRestrictionDestroy(&elem_restr_u_tet);
196   CeedElemRestrictionDestroy(&elem_restr_x_tet);
197   CeedElemRestrictionDestroy(&elem_restr_qd_i_tet);
198   CeedElemRestrictionDestroy(&elem_restr_u_hex);
199   CeedElemRestrictionDestroy(&elem_restr_x_hex);
200   CeedElemRestrictionDestroy(&elem_restr_qd_i_hex);
201   CeedBasisDestroy(&basis_u_tet);
202   CeedBasisDestroy(&basis_x_tet);
203   CeedBasisDestroy(&basis_u_hex);
204   CeedBasisDestroy(&basis_x_hex);
205   CeedVectorDestroy(&X);
206   CeedVectorDestroy(&U);
207   CeedVectorDestroy(&V);
208   CeedVectorDestroy(&q_data_tet);
209   CeedVectorDestroy(&q_data_hex);
210   CeedDestroy(&ceed);
211   return 0;
212 }
213