1 /// @file
2 /// Test creation, action, and destruction for mass matrix composite operator with multigrid level, tensor basis and interpolation basis generation
3 /// \test Test creation, action, and destruction for mass matrix composite operator with multigrid level, tensor basis and interpolation basis
4 /// generation
5 #include <ceed.h>
6 #include <math.h>
7 #include <stdio.h>
8 #include <stdlib.h>
9
10 #include "t502-operator.h"
11
main(int argc,char ** argv)12 int main(int argc, char **argv) {
13 Ceed ceed;
14 CeedOperator op_mass_coarse, op_mass_fine, op_prolong, op_restrict;
15 CeedVector x, u_coarse, u_fine, v_coarse, v_fine, p_mult_fine;
16 CeedInt num_elem = 15, num_elem_sub = 5, num_sub_ops = 3, p_coarse = 3, p_fine = 5, q = 8, num_comp = 2;
17 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;
18 CeedInt ind_u_coarse[num_elem_sub * p_coarse], ind_u_fine[num_elem_sub * p_fine], ind_x[num_elem_sub * 2];
19
20 CeedInit(argv[1], &ceed);
21
22 // Vectors
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_coarse, &u_coarse);
31 CeedVectorCreate(ceed, num_comp * num_dofs_u_coarse, &v_coarse);
32 CeedVectorCreate(ceed, num_comp * num_dofs_u_fine, &u_fine);
33 CeedVectorCreate(ceed, num_comp * num_dofs_u_fine, &v_fine);
34
35 // Composite operators
36 CeedOperatorCreateComposite(ceed, &op_mass_coarse);
37 CeedOperatorCreateComposite(ceed, &op_mass_fine);
38 CeedOperatorCreateComposite(ceed, &op_prolong);
39 CeedOperatorCreateComposite(ceed, &op_restrict);
40
41 // Setup fine suboperators
42 for (CeedInt i = 0; i < num_sub_ops; i++) {
43 CeedVector q_data;
44 CeedElemRestriction elem_restriction_x, elem_restriction_q_data, elem_restriction_u_fine;
45 CeedBasis basis_x, basis_u_fine;
46 CeedQFunction qf_setup, qf_mass;
47 CeedOperator sub_op_setup, sub_op_mass_fine;
48
49 // -- QData
50 CeedVectorCreate(ceed, num_elem * q, &q_data);
51
52 // -- Restrictions
53 CeedInt offset = num_elem_sub * i;
54 for (CeedInt j = 0; j < num_elem_sub; j++) {
55 ind_x[2 * j + 0] = offset + j;
56 ind_x[2 * j + 1] = offset + j + 1;
57 }
58 CeedElemRestrictionCreate(ceed, num_elem_sub, 2, 1, 1, num_dofs_x, CEED_MEM_HOST, CEED_COPY_VALUES, ind_x, &elem_restriction_x);
59
60 offset = num_elem_sub * i * (p_fine - 1);
61 for (CeedInt j = 0; j < num_elem_sub; j++) {
62 for (CeedInt k = 0; k < p_fine; k++) {
63 ind_u_fine[p_fine * j + k] = offset + j * (p_fine - 1) + k;
64 }
65 }
66 CeedElemRestrictionCreate(ceed, num_elem_sub, p_fine, num_comp, num_dofs_u_fine, num_comp * num_dofs_u_fine, CEED_MEM_HOST, CEED_COPY_VALUES,
67 ind_u_fine, &elem_restriction_u_fine);
68
69 CeedInt strides_q_data[3] = {1, q, q};
70 CeedElemRestrictionCreateStrided(ceed, num_elem_sub, q, 1, q * num_elem, strides_q_data, &elem_restriction_q_data);
71
72 // -- Bases
73 CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, 2, q, CEED_GAUSS, &basis_x);
74 CeedBasisCreateTensorH1Lagrange(ceed, 1, num_comp, p_fine, q, CEED_GAUSS, &basis_u_fine);
75
76 // -- QFunctions
77 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
78 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
79 CeedQFunctionAddInput(qf_setup, "dx", 1 * 1, CEED_EVAL_GRAD);
80 CeedQFunctionAddOutput(qf_setup, "q data", 1, CEED_EVAL_NONE);
81
82 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
83 CeedQFunctionAddInput(qf_mass, "q data", 1, CEED_EVAL_NONE);
84 CeedQFunctionAddInput(qf_mass, "u", num_comp, CEED_EVAL_INTERP);
85 CeedQFunctionAddOutput(qf_mass, "v", num_comp, CEED_EVAL_INTERP);
86
87 // -- Operators
88 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &sub_op_setup);
89 CeedOperatorSetField(sub_op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
90 CeedOperatorSetField(sub_op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
91 CeedOperatorSetField(sub_op_setup, "q data", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
92
93 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &sub_op_mass_fine);
94 CeedOperatorSetField(sub_op_mass_fine, "q data", elem_restriction_q_data, CEED_BASIS_NONE, q_data);
95 CeedOperatorSetField(sub_op_mass_fine, "u", elem_restriction_u_fine, basis_u_fine, CEED_VECTOR_ACTIVE);
96 CeedOperatorSetField(sub_op_mass_fine, "v", elem_restriction_u_fine, basis_u_fine, CEED_VECTOR_ACTIVE);
97
98 // -- Create qdata
99 CeedOperatorApply(sub_op_setup, x, q_data, CEED_REQUEST_IMMEDIATE);
100
101 // -- Composite operators
102 CeedOperatorCompositeAddSub(op_mass_fine, sub_op_mass_fine);
103
104 // -- Cleanup
105 CeedVectorDestroy(&q_data);
106 CeedElemRestrictionDestroy(&elem_restriction_u_fine);
107 CeedElemRestrictionDestroy(&elem_restriction_x);
108 CeedElemRestrictionDestroy(&elem_restriction_q_data);
109 CeedBasisDestroy(&basis_u_fine);
110 CeedBasisDestroy(&basis_x);
111 CeedQFunctionDestroy(&qf_setup);
112 CeedQFunctionDestroy(&qf_mass);
113 CeedOperatorDestroy(&sub_op_setup);
114 CeedOperatorDestroy(&sub_op_mass_fine);
115 }
116
117 // Scale for suboperator multiplicity
118 CeedVectorCreate(ceed, num_comp * num_dofs_u_fine, &p_mult_fine);
119 CeedOperatorCompositeGetMultiplicity(op_mass_fine, 0, NULL, p_mult_fine);
120
121 // Setup coarse and prolong/restriction suboperators
122 for (CeedInt i = 0; i < num_sub_ops; i++) {
123 CeedElemRestriction elem_restriction_u_coarse;
124 CeedBasis basis_u_coarse;
125 CeedOperator *sub_ops_mass_fine, sub_op_mass_coarse, sub_op_prolong, sub_op_restrict;
126
127 // -- Fine grid operator
128 CeedOperatorCompositeGetSubList(op_mass_fine, &sub_ops_mass_fine);
129
130 // -- Restrictions
131 CeedInt offset = num_elem_sub * i * (p_coarse - 1);
132 for (CeedInt j = 0; j < num_elem_sub; j++) {
133 for (CeedInt k = 0; k < p_coarse; k++) {
134 ind_u_coarse[p_coarse * j + k] = offset + j * (p_coarse - 1) + k;
135 }
136 }
137 CeedElemRestrictionCreate(ceed, num_elem_sub, p_coarse, num_comp, num_dofs_u_coarse, num_comp * num_dofs_u_coarse, CEED_MEM_HOST,
138 CEED_COPY_VALUES, ind_u_coarse, &elem_restriction_u_coarse);
139
140 // -- Bases
141 CeedBasisCreateTensorH1Lagrange(ceed, 1, num_comp, p_coarse, q, CEED_GAUSS, &basis_u_coarse);
142
143 // -- Create multigrid level
144 CeedOperatorMultigridLevelCreate(sub_ops_mass_fine[i], p_mult_fine, elem_restriction_u_coarse, basis_u_coarse, &sub_op_mass_coarse,
145 &sub_op_prolong, &sub_op_restrict);
146
147 // -- Composite operators
148 CeedOperatorCompositeAddSub(op_mass_coarse, sub_op_mass_coarse);
149 CeedOperatorCompositeAddSub(op_prolong, sub_op_prolong);
150 CeedOperatorCompositeAddSub(op_restrict, sub_op_restrict);
151
152 // -- Cleanup
153 CeedElemRestrictionDestroy(&elem_restriction_u_coarse);
154 CeedBasisDestroy(&basis_u_coarse);
155 CeedOperatorDestroy(&sub_op_mass_coarse);
156 CeedOperatorDestroy(&sub_op_prolong);
157 CeedOperatorDestroy(&sub_op_restrict);
158 }
159
160 // Coarse problem
161 CeedVectorSetValue(u_coarse, 1.0);
162 CeedOperatorApply(op_mass_coarse, u_coarse, v_coarse, CEED_REQUEST_IMMEDIATE);
163
164 // Check output
165 {
166 const CeedScalar *v_array;
167 CeedScalar sum = 0.;
168
169 CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array);
170 for (CeedInt i = 0; i < num_comp * num_dofs_u_coarse; i++) {
171 sum += v_array[i];
172 }
173 CeedVectorRestoreArrayRead(v_coarse, &v_array);
174 if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 2.0\n", sum);
175 }
176
177 // Prolong coarse u
178 CeedOperatorApply(op_prolong, u_coarse, u_fine, CEED_REQUEST_IMMEDIATE);
179
180 // Fine problem
181 CeedOperatorApply(op_mass_fine, u_fine, v_fine, CEED_REQUEST_IMMEDIATE);
182
183 // Check output
184 {
185 const CeedScalar *v_array;
186 CeedScalar sum = 0.;
187 CeedVectorGetArrayRead(v_fine, CEED_MEM_HOST, &v_array);
188 for (CeedInt i = 0; i < num_comp * num_dofs_u_fine; i++) {
189 sum += v_array[i];
190 }
191 CeedVectorRestoreArrayRead(v_fine, &v_array);
192
193 if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Fine Grid: %f != True Area: 2.0\n", sum);
194 }
195 // Restrict state to coarse grid
196 CeedOperatorApply(op_restrict, v_fine, v_coarse, CEED_REQUEST_IMMEDIATE);
197
198 // Check output
199 {
200 const CeedScalar *v_array;
201 CeedScalar sum = 0.;
202
203 CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array);
204 for (CeedInt i = 0; i < num_comp * num_dofs_u_coarse; i++) {
205 sum += v_array[i];
206 }
207 CeedVectorRestoreArrayRead(v_coarse, &v_array);
208 if (fabs(sum - 2.) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 2.0\n", sum);
209 }
210
211 // Cleanup
212 CeedVectorDestroy(&x);
213 CeedVectorDestroy(&u_coarse);
214 CeedVectorDestroy(&u_fine);
215 CeedVectorDestroy(&v_coarse);
216 CeedVectorDestroy(&v_fine);
217 CeedVectorDestroy(&p_mult_fine);
218 CeedOperatorDestroy(&op_mass_coarse);
219 CeedOperatorDestroy(&op_mass_fine);
220 CeedOperatorDestroy(&op_prolong);
221 CeedOperatorDestroy(&op_restrict);
222 CeedDestroy(&ceed);
223 return 0;
224 }
225