1 /// @file
2 /// Test creation, action, and destruction for mass matrix operator AtPoints
3 /// \test Test creation, action, and destruction for mass matrix operator AtPoints
4 #include "t591-operator.h"
5
6 #include <ceed.h>
7 #include <math.h>
8 #include <stdio.h>
9 #include <stdlib.h>
10
main(int argc,char ** argv)11 int main(int argc, char **argv) {
12 Ceed ceed;
13 CeedInt num_elem_1d = 3, num_elem = num_elem_1d * num_elem_1d, dim = 2, p_coarse = 2, p_fine = 3, q = 5;
14 CeedInt num_points_per_elem = 4, num_points = num_elem * num_points_per_elem;
15 CeedInt num_nodes_coarse = (num_elem_1d * (p_coarse - 1) + 1) * (num_elem_1d * (p_coarse - 1) + 1);
16 CeedInt num_nodes_fine = (num_elem_1d * (p_fine - 1) + 1) * (num_elem_1d * (p_fine - 1) + 1);
17 CeedVector x_points, x_elem, q_data, u_coarse, u_fine, v_coarse, v_fine, p_mult_fine;
18 CeedElemRestriction elem_restriction_x_points, elem_restriction_q_data, elem_restriction_x, elem_restriction_u_coarse, elem_restriction_u_fine;
19 CeedBasis basis_x, basis_u_coarse, basis_u_fine;
20 CeedQFunction qf_setup, qf_mass;
21 CeedOperator op_setup, op_mass_coarse, op_mass_fine, op_prolong, op_restrict;
22
23 CeedInit(argv[1], &ceed);
24
25 // Point reference coordinates
26 CeedVectorCreate(ceed, dim * num_points, &x_points);
27 {
28 CeedScalar x_array[dim * num_points];
29
30 for (CeedInt e = 0; e < num_elem; e++) {
31 for (CeedInt d = 0; d < dim; d++) {
32 x_array[num_points_per_elem * (e * dim + d) + 0] = 0.25;
33 x_array[num_points_per_elem * (e * dim + d) + 1] = d == 0 ? -0.25 : 0.25;
34 x_array[num_points_per_elem * (e * dim + d) + 2] = d == 0 ? 0.25 : -0.25;
35 x_array[num_points_per_elem * (e * dim + d) + 3] = 0.25;
36 }
37 }
38 CeedVectorSetArray(x_points, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
39 }
40 {
41 CeedInt ind_x[num_elem + 1 + num_points];
42
43 for (CeedInt i = 0; i <= num_elem; i++) ind_x[i] = num_elem + 1 + i * num_points_per_elem;
44 for (CeedInt i = 0; i < num_points; i++) ind_x[num_elem + 1 + i] = i;
45 CeedElemRestrictionCreateAtPoints(ceed, num_elem, num_points, dim, num_points * dim, CEED_MEM_HOST, CEED_COPY_VALUES, ind_x,
46 &elem_restriction_x_points);
47 CeedElemRestrictionCreateAtPoints(ceed, num_elem, num_points, 1, num_points, CEED_MEM_HOST, CEED_COPY_VALUES, ind_x, &elem_restriction_q_data);
48 }
49
50 // Q data
51 CeedVectorCreate(ceed, num_points, &q_data);
52
53 // Cell coordinates
54 {
55 CeedInt p = 2, num_nodes = (num_elem_1d * (p - 1) + 1) * (num_elem_1d * (p - 1) + 1);
56 CeedInt ind_x[num_elem * p * p];
57
58 for (CeedInt e = 0; e < num_elem; e++) {
59 CeedInt elem_xy[2] = {1, 1}, n_d[2] = {0, 0};
60
61 for (CeedInt d = 0; d < dim; d++) n_d[d] = num_elem_1d * (p - 1) + 1;
62 {
63 CeedInt r_e = e;
64
65 for (CeedInt d = 0; d < dim; d++) {
66 elem_xy[d] = r_e % num_elem_1d;
67 r_e /= num_elem_1d;
68 }
69 }
70 CeedInt num_nodes_in_elem = p * p, *elem_nodes = ind_x + e * num_nodes_in_elem;
71
72 for (CeedInt n = 0; n < num_nodes_in_elem; n++) {
73 CeedInt g_node = 0, g_node_stride = 1, r_node = n;
74
75 for (CeedInt d = 0; d < dim; d++) {
76 g_node += (elem_xy[d] * (p - 1) + r_node % p) * g_node_stride;
77 g_node_stride *= n_d[d];
78 r_node /= p;
79 }
80 elem_nodes[n] = p * g_node;
81 }
82 }
83 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, 1, dim * num_nodes, CEED_MEM_HOST, CEED_COPY_VALUES, ind_x, &elem_restriction_x);
84 CeedVectorCreate(ceed, dim * num_nodes, &x_elem);
85 {
86 CeedScalar x_array[dim * num_nodes];
87
88 for (CeedInt i = 0; i <= num_elem_1d; i++) {
89 for (CeedInt j = 0; j <= num_elem_1d; j++) {
90 x_array[(i * (num_elem_1d + 1) + j) * dim + 0] = j;
91 x_array[(i * (num_elem_1d + 1) + j) * dim + 1] = i;
92 }
93 }
94 CeedVectorSetArray(x_elem, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
95 }
96 }
97
98 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, 2, q, CEED_GAUSS, &basis_x);
99
100 // Cell solution
101 {
102 CeedInt ind_u[num_elem * p_coarse * p_coarse];
103
104 for (CeedInt e = 0; e < num_elem; e++) {
105 CeedInt elem_xy[2] = {1, 1}, n_d[2] = {0, 0};
106
107 for (CeedInt d = 0; d < dim; d++) n_d[d] = num_elem_1d * (p_coarse - 1) + 1;
108 {
109 CeedInt r_e = e;
110
111 for (CeedInt d = 0; d < dim; d++) {
112 elem_xy[d] = r_e % num_elem_1d;
113 r_e /= num_elem_1d;
114 }
115 }
116 CeedInt num_nodes_in_elem = p_coarse * p_coarse, *elem_nodes = ind_u + e * num_nodes_in_elem;
117
118 for (CeedInt n = 0; n < num_nodes_in_elem; n++) {
119 CeedInt g_node = 0, g_node_stride = 1, r_node = n;
120
121 for (CeedInt d = 0; d < dim; d++) {
122 g_node += (elem_xy[d] * (p_coarse - 1) + r_node % p_coarse) * g_node_stride;
123 g_node_stride *= n_d[d];
124 r_node /= p_coarse;
125 }
126 elem_nodes[n] = g_node;
127 }
128 }
129 CeedElemRestrictionCreate(ceed, num_elem, p_coarse * p_coarse, 1, 1, num_nodes_coarse, CEED_MEM_HOST, CEED_COPY_VALUES, ind_u,
130 &elem_restriction_u_coarse);
131 }
132 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p_coarse, q, CEED_GAUSS, &basis_u_coarse);
133 {
134 CeedInt ind_u[num_elem * p_fine * p_fine];
135
136 for (CeedInt e = 0; e < num_elem; e++) {
137 CeedInt elem_xy[2] = {1, 1}, n_d[2] = {0, 0};
138
139 for (CeedInt d = 0; d < dim; d++) n_d[d] = num_elem_1d * (p_fine - 1) + 1;
140 {
141 CeedInt r_e = e;
142
143 for (CeedInt d = 0; d < dim; d++) {
144 elem_xy[d] = r_e % num_elem_1d;
145 r_e /= num_elem_1d;
146 }
147 }
148 CeedInt num_nodes_in_elem = p_fine * p_fine, *elem_nodes = ind_u + e * num_nodes_in_elem;
149
150 for (CeedInt n = 0; n < num_nodes_in_elem; n++) {
151 CeedInt g_node = 0, g_node_stride = 1, r_node = n;
152
153 for (CeedInt d = 0; d < dim; d++) {
154 g_node += (elem_xy[d] * (p_fine - 1) + r_node % p_fine) * g_node_stride;
155 g_node_stride *= n_d[d];
156 r_node /= p_fine;
157 }
158 elem_nodes[n] = g_node;
159 }
160 }
161 CeedElemRestrictionCreate(ceed, num_elem, p_fine * p_fine, 1, 1, num_nodes_fine, CEED_MEM_HOST, CEED_COPY_VALUES, ind_u,
162 &elem_restriction_u_fine);
163 }
164 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p_fine, q, CEED_GAUSS, &basis_u_fine);
165
166 // Setup geometric scaling
167 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
168 CeedQFunctionAddInput(qf_setup, "x", dim * dim, CEED_EVAL_GRAD);
169 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
170 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE);
171
172 CeedOperatorCreateAtPoints(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup);
173 CeedOperatorSetField(op_setup, "x", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
174 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
175 CeedOperatorSetField(op_setup, "rho", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
176 CeedOperatorAtPointsSetPoints(op_setup, elem_restriction_x_points, x_points);
177
178 CeedOperatorApply(op_setup, x_elem, q_data, CEED_REQUEST_IMMEDIATE);
179
180 // Mass operator
181 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
182 CeedQFunctionAddInput(qf_mass, "u", 1, CEED_EVAL_INTERP);
183 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE);
184 CeedQFunctionAddOutput(qf_mass, "v", 1, CEED_EVAL_INTERP);
185
186 CeedOperatorCreateAtPoints(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_fine);
187 CeedOperatorSetField(op_mass_fine, "u", elem_restriction_u_fine, basis_u_fine, CEED_VECTOR_ACTIVE);
188 CeedOperatorSetField(op_mass_fine, "rho", elem_restriction_q_data, CEED_BASIS_NONE, q_data);
189 CeedOperatorSetField(op_mass_fine, "v", elem_restriction_u_fine, basis_u_fine, CEED_VECTOR_ACTIVE);
190 CeedOperatorAtPointsSetPoints(op_mass_fine, elem_restriction_x_points, x_points);
191
192 CeedVectorCreate(ceed, num_nodes_fine, &u_fine);
193 CeedVectorCreate(ceed, num_nodes_fine, &v_fine);
194 CeedVectorCreate(ceed, num_nodes_fine, &p_mult_fine);
195 CeedVectorCreate(ceed, num_nodes_coarse, &u_coarse);
196 CeedVectorCreate(ceed, num_nodes_coarse, &v_coarse);
197
198 // Create multigrid level
199 CeedVectorSetValue(p_mult_fine, 1.0);
200 CeedOperatorMultigridLevelCreate(op_mass_fine, p_mult_fine, elem_restriction_u_coarse, basis_u_coarse, &op_mass_coarse, &op_prolong, &op_restrict);
201
202 // Coarse problem
203 CeedVectorSetValue(u_coarse, 1.0);
204 CeedOperatorApply(op_mass_coarse, u_coarse, v_coarse, CEED_REQUEST_IMMEDIATE);
205
206 // Check output
207 {
208 const CeedScalar *v_array;
209 CeedScalar sum = 0.;
210
211 CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array);
212 for (CeedInt i = 0; i < num_nodes_coarse; i++) {
213 sum += v_array[i];
214 }
215 CeedVectorRestoreArrayRead(v_coarse, &v_array);
216 if (fabs(sum - num_elem) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 2.0\n", sum);
217 }
218
219 // Prolong coarse u
220 CeedOperatorApply(op_prolong, u_coarse, u_fine, CEED_REQUEST_IMMEDIATE);
221
222 // Fine problem
223 CeedOperatorApply(op_mass_fine, u_fine, v_fine, CEED_REQUEST_IMMEDIATE);
224
225 // Check output
226 {
227 const CeedScalar *v_array;
228 CeedScalar sum = 0.;
229
230 CeedVectorGetArrayRead(v_fine, CEED_MEM_HOST, &v_array);
231 for (CeedInt i = 0; i < num_nodes_fine; i++) {
232 sum += v_array[i];
233 }
234 CeedVectorRestoreArrayRead(v_fine, &v_array);
235
236 if (fabs(sum - num_elem) > 1000. * CEED_EPSILON) printf("Computed Area Fine Grid: %f != True Area: 2.0\n", sum);
237 }
238 // Restrict state to coarse grid
239 CeedOperatorApply(op_restrict, v_fine, v_coarse, CEED_REQUEST_IMMEDIATE);
240
241 // Check output
242 {
243 const CeedScalar *v_array;
244 CeedScalar sum = 0.;
245
246 CeedVectorGetArrayRead(v_coarse, CEED_MEM_HOST, &v_array);
247 for (CeedInt i = 0; i < num_nodes_coarse; i++) {
248 sum += v_array[i];
249 }
250 CeedVectorRestoreArrayRead(v_coarse, &v_array);
251 if (fabs(sum - num_elem) > 1000. * CEED_EPSILON) printf("Computed Area Coarse Grid: %f != True Area: 2.0\n", sum);
252 }
253
254 CeedVectorDestroy(&x_points);
255 CeedVectorDestroy(&q_data);
256 CeedVectorDestroy(&x_elem);
257 CeedVectorDestroy(&u_coarse);
258 CeedVectorDestroy(&u_fine);
259 CeedVectorDestroy(&v_fine);
260 CeedVectorDestroy(&v_coarse);
261 CeedVectorDestroy(&p_mult_fine);
262 CeedElemRestrictionDestroy(&elem_restriction_x_points);
263 CeedElemRestrictionDestroy(&elem_restriction_q_data);
264 CeedElemRestrictionDestroy(&elem_restriction_x);
265 CeedElemRestrictionDestroy(&elem_restriction_u_coarse);
266 CeedElemRestrictionDestroy(&elem_restriction_u_fine);
267 CeedBasisDestroy(&basis_x);
268 CeedBasisDestroy(&basis_u_coarse);
269 CeedBasisDestroy(&basis_u_fine);
270 CeedQFunctionDestroy(&qf_setup);
271 CeedQFunctionDestroy(&qf_mass);
272 CeedOperatorDestroy(&op_setup);
273 CeedOperatorDestroy(&op_mass_coarse);
274 CeedOperatorDestroy(&op_mass_fine);
275 CeedOperatorDestroy(&op_prolong);
276 CeedOperatorDestroy(&op_restrict);
277 CeedDestroy(&ceed);
278 return 0;
279 }
280