1 /// @file
2 /// Test assembly of mass matrix operator point block diagonal
3 /// \test Test assembly of mass matrix operator point block diagonal
4 #include "t537-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;
14 CeedBasis basis_x, basis_u;
15 CeedQFunction qf_setup, qf_mass;
16 CeedOperator op_setup, op_mass;
17 CeedVector q_data, x, assembled, u, v;
18 CeedInt num_elem = 6, p = 3, q = 4, dim = 2, num_comp = 2;
19 CeedInt n_x = 3, n_y = 2;
20 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts = num_elem * q * q;
21 CeedInt ind_x[num_elem * p * p];
22 CeedInt *rows, *cols;
23 CeedSize num_entries;
24 CeedScalar assembled_true[num_comp * num_comp * num_dofs];
25 CeedScalar assembled_full_true[num_comp * num_dofs][num_comp * num_dofs];
26
27 CeedInit(argv[1], &ceed);
28
29 // Vectors
30 CeedVectorCreate(ceed, dim * num_dofs, &x);
31 {
32 CeedScalar x_array[dim * num_dofs];
33
34 for (CeedInt i = 0; i < n_x * (p - 1) + 1; i++) {
35 for (CeedInt j = 0; j < n_y * (p - 1) + 1; j++) {
36 x_array[i + j * (n_x * (p - 1) + 1) + 0 * num_dofs] = (CeedScalar)i / ((p - 1) * n_x);
37 x_array[i + j * (n_x * (p - 1) + 1) + 1 * num_dofs] = (CeedScalar)j / ((p - 1) * n_y);
38 }
39 }
40 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
41 }
42 CeedVectorCreate(ceed, num_qpts, &q_data);
43
44 // Restrictions
45 for (CeedInt i = 0; i < num_elem; i++) {
46 CeedInt col, row, offset;
47 col = i % n_x;
48 row = i / n_x;
49 offset = col * (p - 1) + row * (n_x * 2 + 1) * (p - 1);
50 for (CeedInt j = 0; j < p; j++) {
51 for (CeedInt k = 0; k < p; k++) ind_x[p * (p * i + k) + j] = offset + k * (n_x * 2 + 1) + j;
52 }
53 }
54 CeedElemRestrictionCreate(ceed, num_elem, p * p, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x, &elem_restriction_x);
55 CeedElemRestrictionCreate(ceed, num_elem, p * p, num_comp, num_dofs, num_comp * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x,
56 &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, num_comp, 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", num_comp, CEED_EVAL_INTERP);
74 CeedQFunctionAddOutput(qf_mass, "v", num_comp, 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 // Assemble diagonal
91 CeedVectorCreate(ceed, num_comp * num_comp * num_dofs, &assembled);
92 CeedOperatorLinearAssemblePointBlockDiagonal(op_mass, assembled, CEED_REQUEST_IMMEDIATE);
93 CeedOperatorLinearAssemblePointBlockDiagonalSymbolic(op_mass, &num_entries, &rows, &cols);
94
95 // Manually assemble point-block diagonal
96 CeedVectorCreate(ceed, num_comp * num_dofs, &u);
97 CeedVectorSetValue(u, 0.0);
98 CeedVectorCreate(ceed, num_comp * num_dofs, &v);
99 for (CeedInt i = 0; i < num_comp * num_dofs; i++) {
100 for (CeedInt j = 0; j < num_comp * num_dofs; j++) {
101 assembled_full_true[i][j] = 0.;
102 }
103 }
104 for (int i = 0; i < num_comp * num_comp * num_dofs; i++) assembled_true[i] = 0.0;
105 CeedInt ind_old = -1;
106 for (int i = 0; i < num_dofs; i++) {
107 for (int j = 0; j < num_comp; j++) {
108 CeedScalar *u_array;
109 const CeedScalar *v_array;
110
111 // Set input
112 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array);
113 CeedInt ind = i + j * num_dofs;
114 u_array[ind] = 1.0;
115 if (ind > 0) u_array[ind_old] = 0.0;
116 ind_old = ind;
117 CeedVectorRestoreArray(u, &u_array);
118
119 // Compute effect of DoF i, comp j
120 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE);
121
122 // Retrieve entry
123 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
124 for (int k = 0; k < num_comp; k++) assembled_true[i * num_comp * num_comp + k * num_comp + j] += v_array[i + k * num_dofs];
125 for (CeedInt k = 0; k < num_comp * num_dofs; k++) assembled_full_true[k][i + num_dofs * j] += v_array[k];
126 for (CeedInt k = 0; k < num_comp; k++) assembled_full_true[i * num_comp + k][i * num_comp + j] = v_array[i + k * num_dofs];
127 CeedVectorRestoreArrayRead(v, &v_array);
128 }
129 }
130
131 // Check output
132 {
133 const CeedScalar *assembled_array;
134
135 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array);
136 for (int i = 0; i < num_comp * num_comp * num_dofs; i++) {
137 if (fabs(assembled_array[i] - assembled_true[i]) > 100. * CEED_EPSILON) {
138 // LCOV_EXCL_START
139 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]);
140 // LCOV_EXCL_STOP
141 }
142 }
143
144 for (CeedInt i = 0; i < num_entries; i++) {
145 if (fabs(assembled_array[i] - assembled_full_true[rows[i]][cols[i]]) > 100. * CEED_EPSILON) {
146 // LCOV_EXCL_START
147 printf("[%" CeedInt_FMT "] Error in symbolic assembly: %f != %f for row,col indices (%" CeedInt_FMT ", %" CeedInt_FMT ")\n", i,
148 assembled_array[i], assembled_full_true[rows[i]][cols[i]], rows[i], cols[i]);
149 // LCOV_EXCL_STOP
150 }
151 }
152 CeedVectorRestoreArrayRead(assembled, &assembled_array);
153 }
154
155 // Cleanup
156 CeedVectorDestroy(&x);
157 CeedVectorDestroy(&assembled);
158 CeedVectorDestroy(&q_data);
159 CeedVectorDestroy(&u);
160 CeedVectorDestroy(&v);
161 CeedElemRestrictionDestroy(&elem_restriction_u);
162 CeedElemRestrictionDestroy(&elem_restriction_x);
163 CeedElemRestrictionDestroy(&elem_restriction_q_data);
164 CeedBasisDestroy(&basis_u);
165 CeedBasisDestroy(&basis_x);
166 CeedQFunctionDestroy(&qf_setup);
167 CeedQFunctionDestroy(&qf_mass);
168 CeedOperatorDestroy(&op_setup);
169 CeedOperatorDestroy(&op_mass);
170 CeedDestroy(&ceed);
171 free(rows);
172 free(cols);
173 return 0;
174 }
175