1 /// @file
2 /// Test assembly of mass and Poisson operator QFunction
3 /// \test Test assembly of mass and Poisson operator QFunction
4 #include "t532-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 CeedElemRestriction elem_restriction_x, elem_restriction_u, elem_restriction_q_data_mass, elem_restriction_q_data_diff, elem_restriction_assembled;
14 CeedBasis basis_x, basis_u;
15 CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply, qf_apply_assembled;
16 CeedOperator op_setup_mass, op_setup_diff, op_apply, op_apply_assembled;
17 CeedVector q_data_mass, q_data_diff, x, assembled, u, v;
18 CeedInt num_elem = 6, p = 3, q = 4, dim = 2;
19 CeedInt nx = 3, ny = 2;
20 CeedInt num_dofs = (nx * 2 + 1) * (ny * 2 + 1), num_qpts = num_elem * q * q;
21 CeedInt ind_x[num_elem * p * p];
22
23 CeedInit(argv[1], &ceed);
24
25 // Vectors
26 CeedVectorCreate(ceed, dim * num_dofs, &x);
27 {
28 CeedScalar x_array[dim * num_dofs];
29
30 for (CeedInt i = 0; i < nx * 2 + 1; i++) {
31 for (CeedInt j = 0; j < ny * 2 + 1; j++) {
32 x_array[i + j * (nx * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * nx);
33 x_array[i + j * (nx * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * ny);
34 }
35 }
36 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
37 }
38 CeedVectorCreate(ceed, num_dofs, &u);
39 CeedVectorCreate(ceed, num_dofs, &v);
40 CeedVectorCreate(ceed, num_qpts, &q_data_mass);
41 CeedVectorCreate(ceed, num_qpts * dim * (dim + 1) / 2, &q_data_diff);
42
43 // Restrictions
44 for (CeedInt i = 0; i < num_elem; i++) {
45 CeedInt col, row, offset;
46 col = i % nx;
47 row = i / nx;
48 offset = col * (p - 1) + row * (nx * 2 + 1) * (p - 1);
49 for (CeedInt j = 0; j < p; j++) {
50 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (nx * 2 + 1) + j;
51 }
52 }
53 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x);
54 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u);
55
56 CeedInt strides_q_data_mass[3] = {1, q * q, q * q};
57 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data_mass, &elem_restriction_q_data_mass);
58
59 CeedInt strides_q_data_diff[3] = {1, q * q, q * q * dim * (dim + 1) / 2};
60 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, dim * (dim + 1) / 2, dim * (dim + 1) / 2 * num_qpts, strides_q_data_diff,
61 &elem_restriction_q_data_diff);
62
63 // Bases
64 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x);
65 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u);
66
67 // QFunction - setup mass
68 CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc, &qf_setup_mass);
69 CeedQFunctionAddInput(qf_setup_mass, "dx", dim * dim, CEED_EVAL_GRAD);
70 CeedQFunctionAddInput(qf_setup_mass, "weight", 1, CEED_EVAL_WEIGHT);
71 CeedQFunctionAddOutput(qf_setup_mass, "q data", 1, CEED_EVAL_NONE);
72
73 // Operator - setup mass
74 CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_mass);
75 CeedOperatorSetField(op_setup_mass, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
76 CeedOperatorSetField(op_setup_mass, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
77 CeedOperatorSetField(op_setup_mass, "q data", elem_restriction_q_data_mass, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
78
79 // QFunction - setup diff
80 CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc, &qf_setup_diff);
81 CeedQFunctionAddInput(qf_setup_diff, "dx", dim * dim, CEED_EVAL_GRAD);
82 CeedQFunctionAddInput(qf_setup_diff, "weight", 1, CEED_EVAL_WEIGHT);
83 CeedQFunctionAddOutput(qf_setup_diff, "q data", dim * (dim + 1) / 2, CEED_EVAL_NONE);
84
85 // Operator - setup diff
86 CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_diff);
87 CeedOperatorSetField(op_setup_diff, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
88 CeedOperatorSetField(op_setup_diff, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
89 CeedOperatorSetField(op_setup_diff, "q data", elem_restriction_q_data_diff, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
90
91 // Apply Setup Operators
92 CeedOperatorApply(op_setup_mass, x, q_data_mass, CEED_REQUEST_IMMEDIATE);
93 CeedOperatorApply(op_setup_diff, x, q_data_diff, CEED_REQUEST_IMMEDIATE);
94
95 // QFunction - apply
96 CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply);
97 CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD);
98 CeedQFunctionAddInput(qf_apply, "mass q data", 1, CEED_EVAL_NONE);
99 CeedQFunctionAddInput(qf_apply, "diff q data", dim * (dim + 1) / 2, CEED_EVAL_NONE);
100 CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP);
101 CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP);
102 CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD);
103
104 // Operator - apply
105 CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply);
106 CeedOperatorSetField(op_apply, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
107 CeedOperatorSetField(op_apply, "mass q data", elem_restriction_q_data_mass, CEED_BASIS_NONE, q_data_mass);
108 CeedOperatorSetField(op_apply, "diff q data", elem_restriction_q_data_diff, CEED_BASIS_NONE, q_data_diff);
109 CeedOperatorSetField(op_apply, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
110 CeedOperatorSetField(op_apply, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
111 CeedOperatorSetField(op_apply, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
112
113 // Apply original operator
114 CeedVectorSetValue(u, 1.0);
115 CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE);
116
117 // Check output
118 {
119 const CeedScalar *v_array;
120 CeedScalar area = 0.0;
121
122 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
123 for (CeedInt i = 0; i < num_dofs; i++) area += v_array[i];
124 CeedVectorRestoreArrayRead(v, &v_array);
125 if (fabs(area - 1.0) > 100. * CEED_EPSILON) printf("Error: True operator computed area = %f != 1.0\n", area);
126 }
127
128 // Assemble QFunction
129 CeedOperatorSetQFunctionAssemblyReuse(op_apply, true);
130 CeedOperatorLinearAssembleQFunction(op_apply, &assembled, &elem_restriction_assembled, CEED_REQUEST_IMMEDIATE);
131
132 // QFunction - apply assembled
133 CeedQFunctionCreateInterior(ceed, 1, apply_lin, apply_lin_loc, &qf_apply_assembled);
134 CeedQFunctionAddInput(qf_apply_assembled, "du", dim, CEED_EVAL_GRAD);
135 CeedQFunctionAddInput(qf_apply_assembled, "q data", (dim + 1) * (dim + 1), CEED_EVAL_NONE);
136 CeedQFunctionAddInput(qf_apply_assembled, "u", 1, CEED_EVAL_INTERP);
137 CeedQFunctionAddOutput(qf_apply_assembled, "v", 1, CEED_EVAL_INTERP);
138 CeedQFunctionAddOutput(qf_apply_assembled, "dv", dim, CEED_EVAL_GRAD);
139
140 // Operator - apply assembled
141 CeedOperatorCreate(ceed, qf_apply_assembled, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_apply_assembled);
142 CeedOperatorSetField(op_apply_assembled, "du", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
143 CeedOperatorSetField(op_apply_assembled, "q data", elem_restriction_assembled, CEED_BASIS_NONE, assembled);
144 CeedOperatorSetField(op_apply_assembled, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
145 CeedOperatorSetField(op_apply_assembled, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
146 CeedOperatorSetField(op_apply_assembled, "dv", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
147
148 // Apply assembled QFunction operator
149 CeedVectorSetValue(v, 0.0);
150 CeedOperatorApply(op_apply_assembled, u, v, CEED_REQUEST_IMMEDIATE);
151
152 // Check output
153 {
154 const CeedScalar *v_array;
155 CeedScalar area = 0.0;
156
157 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
158 for (CeedInt i = 0; i < num_dofs; i++) area += v_array[i];
159 CeedVectorRestoreArrayRead(v, &v_array);
160 if (fabs(area - 1.0) > 100. * CEED_EPSILON) printf("Error: Assembled operator computed area = %f != 1.0\n", area);
161 }
162
163 // Cleanup
164 CeedVectorDestroy(&x);
165 CeedVectorDestroy(&assembled);
166 CeedVectorDestroy(&q_data_mass);
167 CeedVectorDestroy(&q_data_diff);
168 CeedVectorDestroy(&u);
169 CeedVectorDestroy(&v);
170 CeedElemRestrictionDestroy(&elem_restriction_u);
171 CeedElemRestrictionDestroy(&elem_restriction_x);
172 CeedElemRestrictionDestroy(&elem_restriction_q_data_mass);
173 CeedElemRestrictionDestroy(&elem_restriction_q_data_diff);
174 CeedElemRestrictionDestroy(&elem_restriction_assembled);
175 CeedBasisDestroy(&basis_u);
176 CeedBasisDestroy(&basis_x);
177 CeedQFunctionDestroy(&qf_setup_mass);
178 CeedQFunctionDestroy(&qf_setup_diff);
179 CeedQFunctionDestroy(&qf_apply);
180 CeedQFunctionDestroy(&qf_apply_assembled);
181 CeedOperatorDestroy(&op_setup_mass);
182 CeedOperatorDestroy(&op_setup_diff);
183 CeedOperatorDestroy(&op_apply);
184 CeedOperatorDestroy(&op_apply_assembled);
185 CeedDestroy(&ceed);
186 return 0;
187 }
188