1 /// @file
2 /// Test creation, action, and destruction for composite mass matrix operator
3 /// \test Test creation, action, and destruction for composite mass matrix operator
4 #include <ceed.h>
5 #include <math.h>
6 #include <stdio.h>
7 #include <stdlib.h>
8
9 #include "t320-basis.h"
10 #include "t510-operator.h"
11
12 /* The mesh comprises of two rows of 3 quadrilaterals followed by one row
13 of 6 triangles:
14 _ _ _
15 |_|_|_|
16 |_|_|_|
17 |/|/|/|
18
19 */
20
main(int argc,char ** argv)21 int main(int argc, char **argv) {
22 Ceed ceed;
23 CeedElemRestriction elem_restriction_x_tet, elem_restriction_u_tet, elem_restriction_q_data_tet, elem_restriction_x_hex, elem_restriction_u_hex,
24 elem_restriction_q_data_hex;
25 CeedBasis basis_x_tet, basis_u_tet, basis_x_hex, basis_u_hex;
26 CeedQFunction qf_setup_tet, qf_mass_tet, qf_setup_hex, qf_mass_hex;
27 CeedOperator op_setup_tet, op_mass_tet, op_setup_hex, op_mass_hex, op_setup, op_mass;
28 CeedVector q_data_tet, q_data_hex, x, u, v;
29 CeedInt num_elem_tet = 6, p_tet = 6, q_tet = 4, num_elem_hex = 6, p_hex = 3, q_hex = 4, dim = 2;
30 CeedInt n_x = 3, n_y = 3, n_x_tet = 3, n_y_tet = 1, n_x_hex = 3;
31 CeedInt row, col, offset;
32 CeedInt num_dofs = (n_x * 2 + 1) * (n_y * 2 + 1), num_qpts_tet = num_elem_tet * q_tet, num_qpts_hex = num_elem_hex * q_hex * q_hex;
33 CeedInt ind_x_tet[num_elem_tet * p_tet], ind_x_hex[num_elem_hex * p_hex * p_hex];
34 CeedScalar q_ref[dim * q_tet], q_weight[q_tet];
35 CeedScalar interp[p_tet * q_tet], grad[dim * p_tet * q_tet];
36
37 CeedInit(argv[1], &ceed);
38
39 // Vectors
40 CeedVectorCreate(ceed, dim * num_dofs, &x);
41 {
42 CeedScalar x_array[dim * num_dofs];
43
44 for (CeedInt i = 0; i < n_y * 2 + 1; i++) {
45 for (CeedInt j = 0; j < n_x * 2 + 1; j++) {
46 x_array[i + j * (n_y * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * n_y);
47 x_array[i + j * (n_y * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * n_x);
48 }
49 }
50 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
51 }
52 CeedVectorCreate(ceed, num_dofs, &u);
53 CeedVectorCreate(ceed, num_dofs, &v);
54 CeedVectorCreate(ceed, num_qpts_tet, &q_data_tet);
55 CeedVectorCreate(ceed, num_qpts_hex, &q_data_hex);
56
57 // Tet Elements
58 // -- Restrictions
59 for (CeedInt i = 0; i < num_elem_tet / 2; i++) {
60 col = i % n_x_tet;
61 row = i / n_x_tet;
62 offset = col * 2 + row * (n_x_tet * 2 + 1) * 2;
63
64 ind_x_tet[i * 2 * p_tet + 0] = 2 + offset;
65 ind_x_tet[i * 2 * p_tet + 1] = 9 + offset;
66 ind_x_tet[i * 2 * p_tet + 2] = 16 + offset;
67 ind_x_tet[i * 2 * p_tet + 3] = 1 + offset;
68 ind_x_tet[i * 2 * p_tet + 4] = 8 + offset;
69 ind_x_tet[i * 2 * p_tet + 5] = 0 + offset;
70
71 ind_x_tet[i * 2 * p_tet + 6] = 14 + offset;
72 ind_x_tet[i * 2 * p_tet + 7] = 7 + offset;
73 ind_x_tet[i * 2 * p_tet + 8] = 0 + offset;
74 ind_x_tet[i * 2 * p_tet + 9] = 15 + offset;
75 ind_x_tet[i * 2 * p_tet + 10] = 8 + offset;
76 ind_x_tet[i * 2 * p_tet + 11] = 16 + offset;
77 }
78 CeedElemRestrictionCreate(ceed, num_elem_tet, p_tet, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet,
79 &elem_restriction_x_tet);
80 CeedElemRestrictionCreate(ceed, num_elem_tet, p_tet, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, &elem_restriction_u_tet);
81
82 CeedInt strides_q_data_tet[3] = {1, q_tet, q_tet};
83 CeedElemRestrictionCreateStrided(ceed, num_elem_tet, q_tet, 1, num_qpts_tet, strides_q_data_tet, &elem_restriction_q_data_tet);
84
85 // -- Bases
86 Build2DSimplex(q_ref, q_weight, interp, grad);
87 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, p_tet, q_tet, interp, grad, q_ref, q_weight, &basis_x_tet);
88
89 Build2DSimplex(q_ref, q_weight, interp, grad);
90 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, p_tet, q_tet, interp, grad, q_ref, q_weight, &basis_u_tet);
91
92 // -- QFunctions
93 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_tet);
94 CeedQFunctionAddInput(qf_setup_tet, "weight", 1, CEED_EVAL_WEIGHT);
95 CeedQFunctionAddInput(qf_setup_tet, "dx", dim * dim, CEED_EVAL_GRAD);
96 CeedQFunctionAddOutput(qf_setup_tet, "rho", 1, CEED_EVAL_NONE);
97
98 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass_tet);
99 CeedQFunctionAddInput(qf_mass_tet, "rho", 1, CEED_EVAL_NONE);
100 CeedQFunctionAddInput(qf_mass_tet, "u", 1, CEED_EVAL_INTERP);
101 CeedQFunctionAddOutput(qf_mass_tet, "v", 1, CEED_EVAL_INTERP);
102
103 // -- Operators
104 // ---- Setup Tet
105 CeedOperatorCreate(ceed, qf_setup_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_tet);
106 CeedOperatorSetField(op_setup_tet, "weight", CEED_ELEMRESTRICTION_NONE, basis_x_tet, CEED_VECTOR_NONE);
107 CeedOperatorSetField(op_setup_tet, "dx", elem_restriction_x_tet, basis_x_tet, CEED_VECTOR_ACTIVE);
108 CeedOperatorSetField(op_setup_tet, "rho", elem_restriction_q_data_tet, CEED_BASIS_NONE, q_data_tet);
109 // ---- Mass Tet
110 CeedOperatorCreate(ceed, qf_mass_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_tet);
111 CeedOperatorSetField(op_mass_tet, "rho", elem_restriction_q_data_tet, CEED_BASIS_NONE, q_data_tet);
112 CeedOperatorSetField(op_mass_tet, "u", elem_restriction_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE);
113 CeedOperatorSetField(op_mass_tet, "v", elem_restriction_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE);
114
115 // Hex Elements
116 // -- Restrictions
117 for (CeedInt i = 0; i < num_elem_hex; i++) {
118 col = i % n_x_hex;
119 row = i / n_x_hex;
120 offset = (n_x_tet * 2 + 1) * (n_y_tet * 2) * (1 + row) + col * 2;
121 for (CeedInt j = 0; j < p_hex; j++) {
122 for (CeedInt k = 0; k < p_hex; k++) ind_x_hex[p_hex * (p_hex * i + k) + j] = offset + k * (n_x_hex * 2 + 1) + j;
123 }
124 }
125 CeedElemRestrictionCreate(ceed, num_elem_hex, p_hex * p_hex, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_hex,
126 &elem_restriction_x_hex);
127 CeedElemRestrictionCreate(ceed, num_elem_hex, p_hex * p_hex, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_hex, &elem_restriction_u_hex);
128
129 CeedInt strides_q_data_hex[3] = {1, q_hex * q_hex, q_hex * q_hex};
130 CeedElemRestrictionCreateStrided(ceed, num_elem_hex, q_hex * q_hex, 1, num_qpts_hex, strides_q_data_hex, &elem_restriction_q_data_hex);
131
132 // -- Bases
133 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p_hex, q_hex, CEED_GAUSS, &basis_x_hex);
134 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p_hex, q_hex, CEED_GAUSS, &basis_u_hex);
135
136 // -- QFunctions
137 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_hex);
138 CeedQFunctionAddInput(qf_setup_hex, "_weight", 1, CEED_EVAL_WEIGHT);
139 CeedQFunctionAddInput(qf_setup_hex, "dx", dim * dim, CEED_EVAL_GRAD);
140 CeedQFunctionAddOutput(qf_setup_hex, "rho", 1, CEED_EVAL_NONE);
141
142 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass_hex);
143 CeedQFunctionAddInput(qf_mass_hex, "rho", 1, CEED_EVAL_NONE);
144 CeedQFunctionAddInput(qf_mass_hex, "u", 1, CEED_EVAL_INTERP);
145 CeedQFunctionAddOutput(qf_mass_hex, "v", 1, CEED_EVAL_INTERP);
146
147 // -- Operators
148 CeedOperatorCreate(ceed, qf_setup_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_hex);
149 CeedOperatorSetField(op_setup_hex, "_weight", CEED_ELEMRESTRICTION_NONE, basis_x_hex, CEED_VECTOR_NONE);
150 CeedOperatorSetField(op_setup_hex, "dx", elem_restriction_x_hex, basis_x_hex, CEED_VECTOR_ACTIVE);
151 CeedOperatorSetField(op_setup_hex, "rho", elem_restriction_q_data_hex, CEED_BASIS_NONE, q_data_hex);
152
153 CeedOperatorCreate(ceed, qf_mass_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_hex);
154 CeedOperatorSetField(op_mass_hex, "rho", elem_restriction_q_data_hex, CEED_BASIS_NONE, q_data_hex);
155 CeedOperatorSetField(op_mass_hex, "u", elem_restriction_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE);
156 CeedOperatorSetField(op_mass_hex, "v", elem_restriction_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE);
157
158 // Composite Operators
159 CeedOperatorCreateComposite(ceed, &op_setup);
160 CeedOperatorCompositeAddSub(op_setup, op_setup_tet);
161 CeedOperatorCompositeAddSub(op_setup, op_setup_hex);
162
163 CeedOperatorCreateComposite(ceed, &op_mass);
164 CeedOperatorCompositeAddSub(op_mass, op_mass_tet);
165 CeedOperatorCompositeAddSub(op_mass, op_mass_hex);
166
167 // Apply Setup Operator
168 CeedOperatorApply(op_setup, x, CEED_VECTOR_NONE, CEED_REQUEST_IMMEDIATE);
169
170 // Apply Mass Operator
171 CeedVectorSetValue(u, 1.0);
172 CeedOperatorApply(op_mass, u, v, CEED_REQUEST_IMMEDIATE);
173
174 // Check output
175 {
176 const CeedScalar *v_array;
177 CeedScalar sum = 0.;
178
179 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
180 for (CeedInt i = 0; i < num_dofs; i++) sum += v_array[i];
181 CeedVectorRestoreArrayRead(v, &v_array);
182 if (fabs(sum - 1.) > 1000. * CEED_EPSILON) printf("Computed Area: %f != True Area: 1.0\n", sum);
183 }
184
185 // Cleanup
186 CeedVectorDestroy(&x);
187 CeedVectorDestroy(&u);
188 CeedVectorDestroy(&v);
189 CeedVectorDestroy(&q_data_tet);
190 CeedVectorDestroy(&q_data_hex);
191 CeedElemRestrictionDestroy(&elem_restriction_u_tet);
192 CeedElemRestrictionDestroy(&elem_restriction_x_tet);
193 CeedElemRestrictionDestroy(&elem_restriction_q_data_tet);
194 CeedElemRestrictionDestroy(&elem_restriction_u_hex);
195 CeedElemRestrictionDestroy(&elem_restriction_x_hex);
196 CeedElemRestrictionDestroy(&elem_restriction_q_data_hex);
197 CeedBasisDestroy(&basis_u_tet);
198 CeedBasisDestroy(&basis_x_tet);
199 CeedBasisDestroy(&basis_u_hex);
200 CeedBasisDestroy(&basis_x_hex);
201 CeedQFunctionDestroy(&qf_setup_tet);
202 CeedQFunctionDestroy(&qf_mass_tet);
203 CeedOperatorDestroy(&op_setup_tet);
204 CeedOperatorDestroy(&op_mass_tet);
205 CeedQFunctionDestroy(&qf_setup_hex);
206 CeedQFunctionDestroy(&qf_mass_hex);
207 CeedOperatorDestroy(&op_setup_hex);
208 CeedOperatorDestroy(&op_mass_hex);
209 CeedOperatorDestroy(&op_setup);
210 CeedOperatorDestroy(&op_mass);
211 CeedDestroy(&ceed);
212 return 0;
213 }
214