1 /// @file
2 /// Test full assembly of mass matrix operator (see t533)
3 /// \test Test full assembly of mass matrix operator
4 #include <ceed.h>
5 #include <math.h>
6 #include <stdio.h>
7 #include <stdlib.h>
8
9 #include "t510-operator.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;
14 CeedBasis basis_x, basis_u;
15 CeedQFunction qf_setup, qf_mass;
16 CeedOperator op_setup, op_mass;
17 CeedVector q_data, x, u, v;
18 CeedInt p = 3, q = 4, dim = 2;
19 CeedInt n_x = 3, n_y = 2;
20 CeedInt num_elem = n_x * n_y;
21 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * q * q;
22 CeedInt ind_x[num_elem * p * p];
23 CeedScalar assembled_values[num_dofs * num_dofs];
24 CeedScalar assembled_true[num_dofs * num_dofs];
25
26 CeedInit(argv[1], &ceed);
27
28 // Vectors
29 CeedVectorCreate(ceed, dim * num_dofs, &x);
30 {
31 CeedScalar x_array[dim * num_dofs];
32
33 for (CeedInt i = 0; i < n_x * 2 + 1; i++) {
34 for (CeedInt j = 0; j < n_y * 2 + 1; j++) {
35 x_array[i + j * (n_x * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_x);
36 x_array[i + j * (n_x * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_y);
37 }
38 }
39 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
40 }
41 CeedVectorCreate(ceed, num_dofs, &u);
42 CeedVectorCreate(ceed, num_dofs, &v);
43 CeedVectorCreate(ceed, num_qpts, &q_data);
44
45 // Restrictions
46 for (CeedInt i = 0; i < num_elem; i++) {
47 CeedInt col, row, offset;
48 col = i % n_x;
49 row = i / n_x;
50 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1);
51 for (CeedInt j = 0; j < p; j++) {
52 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j;
53 }
54 }
55 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x);
56 CeedElemRestrictionCreate(ceed, num_elem, p * p, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_u);
57
58 CeedInt strides_q_data[3] = {1, q * q, q * q};
59 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data, &elem_restriction_q_data);
60
61 // Bases
62 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x);
63 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u);
64
65 // QFunctions
66 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
67 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
68 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD);
69 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE);
70
71 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
72 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE);
73 CeedQFunctionAddInput(qf_mass, "u", 1, CEED_EVAL_INTERP);
74 CeedQFunctionAddOutput(qf_mass, "v", 1, CEED_EVAL_INTERP);
75
76 // Operators
77 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup);
78 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
79 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
80 CeedOperatorSetField(op_setup, "rho", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
81
82 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass);
83 CeedOperatorSetField(op_mass, "rho", elem_restriction_q_data, CEED_BASIS_NONE, q_data);
84 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
85 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
86
87 // Apply Setup Operator
88 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE);
89
90 // Fully assemble operator
91 CeedSize num_entries;
92 CeedInt *rows;
93 CeedInt *cols;
94 CeedVector assembled;
95
96 for (CeedInt k = 0; k < num_dofs * num_dofs; ++k) {
97 assembled_values[k] = 0.0;
98 assembled_true[k] = 0.0;
99 }
100 CeedOperatorLinearAssembleSymbolic(op_mass, &num_entries, &rows, &cols);
101 CeedVectorCreate(ceed, num_entries, &assembled);
102 CeedOperatorLinearAssemble(op_mass, assembled);
103 {
104 const CeedScalar *assembled_array;
105
106 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array);
107 for (CeedInt k = 0; k < num_entries; ++k) {
108 assembled_values[rows[k] * num_dofs + cols[k]] += assembled_array[k];
109 }
110 CeedVectorRestoreArrayRead(assembled, &assembled_array);
111 }
112
113 // Manually assemble operator
114 CeedVectorSetValue(u, 0.0);
115 for (CeedInt j = 0; j < num_dofs; j++) {
116 CeedScalar *u_array;
117 const CeedScalar *v_array;
118
119 // Set input
120 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array);
121 u_array[j] = 1.0;
122 if (j) u_array[j - 1] = 0.0;
123 CeedVectorRestoreArray(u, &u_array);
124
125 // Compute entries for column j
126 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE);
127
128 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
129 for (CeedInt i = 0; i < num_dofs; i++) assembled_true[i * num_dofs + j] = v_array[i];
130 CeedVectorRestoreArrayRead(v, &v_array);
131 }
132
133 // Check output
134 for (CeedInt i = 0; i < num_dofs; i++) {
135 for (CeedInt j = 0; j < num_dofs; j++) {
136 if (fabs(assembled_values[i * num_dofs + j] - assembled_true[i * num_dofs + j]) > 100. * CEED_EPSILON) {
137 // LCOV_EXCL_START
138 printf("[%" CeedInt_FMT ", %" CeedInt_FMT "] Error in assembly: %f != %f\n", i, j, assembled_values[i * num_dofs + j],
139 assembled_true[i * num_dofs + j]);
140 // LCOV_EXCL_STOP
141 }
142 }
143 }
144
145 // Cleanup
146 free(rows);
147 free(cols);
148 CeedVectorDestroy(&x);
149 CeedVectorDestroy(&q_data);
150 CeedVectorDestroy(&u);
151 CeedVectorDestroy(&v);
152 CeedVectorDestroy(&assembled);
153 CeedElemRestrictionDestroy(&elem_restriction_u);
154 CeedElemRestrictionDestroy(&elem_restriction_x);
155 CeedElemRestrictionDestroy(&elem_restriction_q_data);
156 CeedBasisDestroy(&basis_u);
157 CeedBasisDestroy(&basis_x);
158 CeedQFunctionDestroy(&qf_setup);
159 CeedQFunctionDestroy(&qf_mass);
160 CeedOperatorDestroy(&op_setup);
161 CeedOperatorDestroy(&op_mass);
162 CeedDestroy(&ceed);
163 return 0;
164 }
165