1 /// @file
2 /// Test assembly of mass matrix operator diagonal
3 /// \test Test assembly of mass matrix operator diagonal
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, 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 CeedScalar assembled_true[num_dofs];
23
24 CeedInit(argv[1], &ceed);
25
26 // Vectors
27 CeedVectorCreate(ceed, dim * num_dofs, &x);
28 {
29 CeedScalar x_array[dim * num_dofs];
30
31 for (CeedInt i = 0; i < nx * 2 + 1; i++) {
32 for (CeedInt j = 0; j < ny * 2 + 1; j++) {
33 x_array[i + j * (nx * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * nx);
34 x_array[i + j * (nx * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * ny);
35 }
36 }
37 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
38 }
39 CeedVectorCreate(ceed, num_dofs, &u);
40 CeedVectorCreate(ceed, num_dofs, &v);
41 CeedVectorCreate(ceed, num_qpts, &q_data);
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[3] = {1, q * q, q * q};
57 CeedElemRestrictionCreateStrided(ceed, num_elem, q * q, 1, num_qpts, strides_q_data, &elem_restriction_q_data);
58
59 // Bases
60 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p, q, CEED_GAUSS, &basis_x);
61 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u);
62
63 // QFunctions
64 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
65 CeedQFunctionAddInput(qf_setup, "weight", 1, CEED_EVAL_WEIGHT);
66 CeedQFunctionAddInput(qf_setup, "dx", dim * dim, CEED_EVAL_GRAD);
67 CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE);
68
69 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
70 CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE);
71 CeedQFunctionAddInput(qf_mass, "u", 1, CEED_EVAL_INTERP);
72 CeedQFunctionAddOutput(qf_mass, "v", 1, CEED_EVAL_INTERP);
73
74 // Operators
75 CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup);
76 CeedOperatorSetField(op_setup, "weight", CEED_ELEMRESTRICTION_NONE, basis_x, CEED_VECTOR_NONE);
77 CeedOperatorSetField(op_setup, "dx", elem_restriction_x, basis_x, CEED_VECTOR_ACTIVE);
78 CeedOperatorSetField(op_setup, "rho", elem_restriction_q_data, CEED_BASIS_NONE, CEED_VECTOR_ACTIVE);
79
80 CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass);
81 CeedOperatorSetField(op_mass, "rho", elem_restriction_q_data, CEED_BASIS_NONE, q_data);
82 CeedOperatorSetField(op_mass, "u", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
83 CeedOperatorSetField(op_mass, "v", elem_restriction_u, basis_u, CEED_VECTOR_ACTIVE);
84
85 // Apply Setup Operator
86 CeedOperatorApply(op_setup, x, q_data, CEED_REQUEST_IMMEDIATE);
87
88 // Assemble diagonal
89 CeedVectorCreate(ceed, num_dofs, &assembled);
90 CeedOperatorLinearAssembleDiagonal(op_mass, assembled, CEED_REQUEST_IMMEDIATE);
91
92 // Manually assemble diagonal
93 CeedVectorSetValue(u, 0.0);
94 for (CeedInt i = 0; i < num_dofs; i++) {
95 CeedScalar *u_array;
96 const CeedScalar *v_array;
97
98 // Set input
99 CeedVectorGetArray(u, CEED_MEM_HOST, &u_array);
100 u_array[i] = 1.0;
101 if (i) u_array[i - 1] = 0.0;
102 CeedVectorRestoreArray(u, &u_array);
103
104 // Compute diag entry for DoF i
105 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE);
106
107 // Retrieve entry
108 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
109 assembled_true[i] = v_array[i];
110 CeedVectorRestoreArrayRead(v, &v_array);
111 }
112
113 // Check output
114 {
115 const CeedScalar *assembled_array;
116
117 CeedVectorGetArrayRead(assembled, CEED_MEM_HOST, &assembled_array);
118 for (CeedInt i = 0; i < num_dofs; i++) {
119 if (fabs(assembled_array[i] - assembled_true[i]) > 100. * CEED_EPSILON) {
120 // LCOV_EXCL_START
121 printf("[%" CeedInt_FMT "] Error in assembly: %f != %f\n", i, assembled_array[i], assembled_true[i]);
122 // LCOV_EXCL_STOP
123 }
124 }
125 CeedVectorRestoreArrayRead(assembled, &assembled_array);
126 }
127
128 // Cleanup
129 CeedVectorDestroy(&x);
130 CeedVectorDestroy(&assembled);
131 CeedVectorDestroy(&q_data);
132 CeedVectorDestroy(&u);
133 CeedVectorDestroy(&v);
134 CeedElemRestrictionDestroy(&elem_restriction_u);
135 CeedElemRestrictionDestroy(&elem_restriction_x);
136 CeedElemRestrictionDestroy(&elem_restriction_q_data);
137 CeedBasisDestroy(&basis_u);
138 CeedBasisDestroy(&basis_x);
139 CeedQFunctionDestroy(&qf_setup);
140 CeedQFunctionDestroy(&qf_mass);
141 CeedOperatorDestroy(&op_setup);
142 CeedOperatorDestroy(&op_mass);
143 CeedDestroy(&ceed);
144 return 0;
145 }
146