1 /// @file
2 /// Test CeedOperatorApplyAdd for composite operator
3 /// \test CeedOperatorApplyAdd for composite 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 nx = 3, ny = 3, nx_tet = 3, ny_tet = 1, nx_hex = 3;
31 CeedInt row, col, offset;
32 CeedInt num_dofs = (nx * 2 + 1) * (ny * 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 for (CeedInt i = 0; i < ny * 2 + 1; i++) {
44 for (CeedInt j = 0; j < nx * 2 + 1; j++) {
45 x_array[i + j * (ny * 2 + 1) + 0 * num_dofs] = (CeedScalar)i / (2 * ny);
46 x_array[i + j * (ny * 2 + 1) + 1 * num_dofs] = (CeedScalar)j / (2 * nx);
47 }
48 }
49 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
50 }
51 CeedVectorCreate(ceed, num_dofs, &u);
52 CeedVectorCreate(ceed, num_dofs, &v);
53 CeedVectorCreate(ceed, num_qpts_tet, &q_data_tet);
54 CeedVectorCreate(ceed, num_qpts_hex, &q_data_hex);
55
56 // Tet Elements
57 // -- Restrictions
58 for (CeedInt i = 0; i < num_elem_tet / 2; i++) {
59 col = i % nx_tet;
60 row = i / nx_tet;
61 offset = col * 2 + row * (nx_tet * 2 + 1) * 2;
62
63 ind_x_tet[i * 2 * p_tet + 0] = 2 + offset;
64 ind_x_tet[i * 2 * p_tet + 1] = 9 + offset;
65 ind_x_tet[i * 2 * p_tet + 2] = 16 + offset;
66 ind_x_tet[i * 2 * p_tet + 3] = 1 + offset;
67 ind_x_tet[i * 2 * p_tet + 4] = 8 + offset;
68 ind_x_tet[i * 2 * p_tet + 5] = 0 + offset;
69
70 ind_x_tet[i * 2 * p_tet + 6] = 14 + offset;
71 ind_x_tet[i * 2 * p_tet + 7] = 7 + offset;
72 ind_x_tet[i * 2 * p_tet + 8] = 0 + offset;
73 ind_x_tet[i * 2 * p_tet + 9] = 15 + offset;
74 ind_x_tet[i * 2 * p_tet + 10] = 8 + offset;
75 ind_x_tet[i * 2 * p_tet + 11] = 16 + offset;
76 }
77 CeedElemRestrictionCreate(ceed, num_elem_tet, p_tet, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet,
78 &elem_restriction_x_tet);
79 CeedElemRestrictionCreate(ceed, num_elem_tet, p_tet, 1, 1, num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_tet, &elem_restriction_u_tet);
80
81 CeedInt strides_q_data_tet[3] = {1, q_tet, q_tet};
82 CeedElemRestrictionCreateStrided(ceed, num_elem_tet, q_tet, 1, num_qpts_tet, strides_q_data_tet, &elem_restriction_q_data_tet);
83
84 // -- Bases
85 Build2DSimplex(q_ref, q_weight, interp, grad);
86 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, dim, p_tet, q_tet, interp, grad, q_ref, q_weight, &basis_x_tet);
87
88 Build2DSimplex(q_ref, q_weight, interp, grad);
89 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, p_tet, q_tet, interp, grad, q_ref, q_weight, &basis_u_tet);
90
91 // -- QFunctions
92 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_tet);
93 CeedQFunctionAddInput(qf_setup_tet, "weight", 1, CEED_EVAL_WEIGHT);
94 CeedQFunctionAddInput(qf_setup_tet, "dx", dim * dim, CEED_EVAL_GRAD);
95 CeedQFunctionAddOutput(qf_setup_tet, "rho", 1, CEED_EVAL_NONE);
96
97 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass_tet);
98 CeedQFunctionAddInput(qf_mass_tet, "rho", 1, CEED_EVAL_NONE);
99 CeedQFunctionAddInput(qf_mass_tet, "u", 1, CEED_EVAL_INTERP);
100 CeedQFunctionAddOutput(qf_mass_tet, "v", 1, CEED_EVAL_INTERP);
101
102 // -- Operators
103 // ---- Setup _tet
104 CeedOperatorCreate(ceed, qf_setup_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_tet);
105 CeedOperatorSetField(op_setup_tet, "weight", CEED_ELEMRESTRICTION_NONE, basis_x_tet, CEED_VECTOR_NONE);
106 CeedOperatorSetField(op_setup_tet, "dx", elem_restriction_x_tet, basis_x_tet, CEED_VECTOR_ACTIVE);
107 CeedOperatorSetField(op_setup_tet, "rho", elem_restriction_q_data_tet, CEED_BASIS_NONE, q_data_tet);
108 // ---- Mass _tet
109 CeedOperatorCreate(ceed, qf_mass_tet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_tet);
110 CeedOperatorSetField(op_mass_tet, "rho", elem_restriction_q_data_tet, CEED_BASIS_NONE, q_data_tet);
111 CeedOperatorSetField(op_mass_tet, "u", elem_restriction_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE);
112 CeedOperatorSetField(op_mass_tet, "v", elem_restriction_u_tet, basis_u_tet, CEED_VECTOR_ACTIVE);
113
114 // Hex Elements
115 // -- Restrictions
116 for (CeedInt i = 0; i < num_elem_hex; i++) {
117 col = i % nx_hex;
118 row = i / nx_hex;
119 offset = (nx_tet * 2 + 1) * (ny_tet * 2) * (1 + row) + col * 2;
120 for (CeedInt j = 0; j < p_hex; j++) {
121 for (CeedInt k = 0; k < p_hex; k++) ind_x_hex[p_hex * (p_hex * i + k) + j] = offset + k * (nx_hex * 2 + 1) + j;
122 }
123 }
124 CeedElemRestrictionCreate(ceed, num_elem_hex, p_hex * p_hex, dim, num_dofs, dim * num_dofs, CEED_MEM_HOST, CEED_USE_POINTER, ind_x_hex,
125 &elem_restriction_x_hex);
126 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);
127
128 CeedInt strides_q_data_hex[3] = {1, q_hex * q_hex, q_hex * q_hex};
129 CeedElemRestrictionCreateStrided(ceed, num_elem_hex, q_hex * q_hex, 1, num_qpts_hex, strides_q_data_hex, &elem_restriction_q_data_hex);
130
131 // -- Bases
132 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, p_hex, q_hex, CEED_GAUSS, &basis_x_hex);
133 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p_hex, q_hex, CEED_GAUSS, &basis_u_hex);
134
135 // -- QFunctions
136 CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup_hex);
137 CeedQFunctionAddInput(qf_setup_hex, "weight", 1, CEED_EVAL_WEIGHT);
138 CeedQFunctionAddInput(qf_setup_hex, "dx", dim * dim, CEED_EVAL_GRAD);
139 CeedQFunctionAddOutput(qf_setup_hex, "rho", 1, CEED_EVAL_NONE);
140
141 CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass_hex);
142 CeedQFunctionAddInput(qf_mass_hex, "rho", 1, CEED_EVAL_NONE);
143 CeedQFunctionAddInput(qf_mass_hex, "u", 1, CEED_EVAL_INTERP);
144 CeedQFunctionAddOutput(qf_mass_hex, "v", 1, CEED_EVAL_INTERP);
145
146 // -- Operators
147 CeedOperatorCreate(ceed, qf_setup_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_setup_hex);
148 CeedOperatorSetField(op_setup_hex, "weight", CEED_ELEMRESTRICTION_NONE, basis_x_hex, CEED_VECTOR_NONE);
149 CeedOperatorSetField(op_setup_hex, "dx", elem_restriction_x_hex, basis_x_hex, CEED_VECTOR_ACTIVE);
150 CeedOperatorSetField(op_setup_hex, "rho", elem_restriction_q_data_hex, CEED_BASIS_NONE, q_data_hex);
151
152 CeedOperatorCreate(ceed, qf_mass_hex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE, &op_mass_hex);
153 CeedOperatorSetField(op_mass_hex, "rho", elem_restriction_q_data_hex, CEED_BASIS_NONE, q_data_hex);
154 CeedOperatorSetField(op_mass_hex, "u", elem_restriction_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE);
155 CeedOperatorSetField(op_mass_hex, "v", elem_restriction_u_hex, basis_u_hex, CEED_VECTOR_ACTIVE);
156
157 // Composite Operators
158 CeedOperatorCreateComposite(ceed, &op_setup);
159 CeedOperatorCompositeAddSub(op_setup, op_setup_tet);
160 CeedOperatorCompositeAddSub(op_setup, op_setup_hex);
161
162 CeedOperatorCreateComposite(ceed, &op_mass);
163 CeedOperatorCompositeAddSub(op_mass, op_mass_tet);
164 CeedOperatorCompositeAddSub(op_mass, op_mass_hex);
165
166 // Apply Setup Operator
167 CeedOperatorApply(op_setup, x, CEED_VECTOR_NONE, CEED_REQUEST_IMMEDIATE);
168
169 // Apply Mass Operator
170 CeedVectorSetValue(u, 1.0);
171 CeedVectorSetValue(v, 0.0);
172 CeedOperatorApplyAdd(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 // Apply Add
186 CeedVectorSetValue(v, 1.0);
187 CeedOperatorApplyAdd(op_mass, u, v, CEED_REQUEST_IMMEDIATE);
188
189 // Check output
190 {
191 const CeedScalar *v_array;
192 CeedScalar sum = -num_dofs;
193
194 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
195 for (CeedInt i = 0; i < num_dofs; i++) sum += v_array[i];
196 CeedVectorRestoreArrayRead(v, &v_array);
197 if (fabs(sum - 1.) > 1000. * CEED_EPSILON) printf("Computed Area: %f != True Area: 1.0\n", sum);
198 }
199
200 // Cleanup
201 CeedVectorDestroy(&x);
202 CeedVectorDestroy(&u);
203 CeedVectorDestroy(&v);
204 CeedVectorDestroy(&q_data_tet);
205 CeedVectorDestroy(&q_data_hex);
206 CeedElemRestrictionDestroy(&elem_restriction_u_tet);
207 CeedElemRestrictionDestroy(&elem_restriction_x_tet);
208 CeedElemRestrictionDestroy(&elem_restriction_q_data_tet);
209 CeedElemRestrictionDestroy(&elem_restriction_u_hex);
210 CeedElemRestrictionDestroy(&elem_restriction_x_hex);
211 CeedElemRestrictionDestroy(&elem_restriction_q_data_hex);
212 CeedBasisDestroy(&basis_u_tet);
213 CeedBasisDestroy(&basis_x_tet);
214 CeedBasisDestroy(&basis_u_hex);
215 CeedBasisDestroy(&basis_x_hex);
216 CeedQFunctionDestroy(&qf_setup_tet);
217 CeedQFunctionDestroy(&qf_mass_tet);
218 CeedOperatorDestroy(&op_setup_tet);
219 CeedOperatorDestroy(&op_mass_tet);
220 CeedQFunctionDestroy(&qf_setup_hex);
221 CeedQFunctionDestroy(&qf_mass_hex);
222 CeedOperatorDestroy(&op_setup_hex);
223 CeedOperatorDestroy(&op_mass_hex);
224 CeedOperatorDestroy(&op_setup);
225 CeedOperatorDestroy(&op_mass);
226 CeedDestroy(&ceed);
227 return 0;
228 }
229