xref: /libCEED/tests/t532-operator.c (revision ed264d09f1c2ca67d20420ee135d5f5156727a4b) !
1 /// @file
2 /// Test assembly of mass and Poisson operator QFunction
3 /// \test Test assembly of mass and Poisson operator QFunction
4 #include <ceed.h>
5 #include <stdlib.h>
6 #include <math.h>
7 #include "t532-operator.h"
8 
9 int main(int argc, char **argv) {
10   Ceed ceed;
11   CeedInterlaceMode imode = CEED_NONINTERLACED;
12   CeedElemRestriction Erestrictx, Erestrictu,
13                       Erestrictui, Erestrictqi, Erestrictlini;
14   CeedBasis bx, bu;
15   CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply, qf_apply_lin;
16   CeedOperator op_setup_mass, op_setup_diff, op_apply, op_apply_lin;
17   CeedVector qdata_mass, qdata_diff, X, A, u, v;
18   CeedInt nelem = 6, P = 3, Q = 4, dim = 2;
19   CeedInt nx = 3, ny = 2;
20   CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q;
21   CeedInt indx[nelem*P*P];
22   CeedScalar x[dim*ndofs];
23 
24   CeedInit(argv[1], &ceed);
25 
26   // DoF Coordinates
27   for (CeedInt i=0; i<nx*2+1; i++)
28     for (CeedInt j=0; j<ny*2+1; j++) {
29       x[i+j*(nx*2+1)+0*ndofs] = (CeedScalar) i / (2*nx);
30       x[i+j*(nx*2+1)+1*ndofs] = (CeedScalar) j / (2*ny);
31     }
32   CeedVectorCreate(ceed, dim*ndofs, &X);
33   CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x);
34 
35   // Qdata Vectors
36   CeedVectorCreate(ceed, nqpts, &qdata_mass);
37   CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata_diff);
38 
39   // Element Setup
40   for (CeedInt i=0; i<nelem; i++) {
41     CeedInt col, row, offset;
42     col = i % nx;
43     row = i / nx;
44     offset = col*(P-1) + row*(nx*2+1)*(P-1);
45     for (CeedInt j=0; j<P; j++)
46       for (CeedInt k=0; k<P; k++)
47         indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j;
48   }
49 
50   // Restrictions
51   CeedElemRestrictionCreate(ceed, imode, nelem, P*P, ndofs, dim, CEED_MEM_HOST,
52                             CEED_USE_POINTER, indx, &Erestrictx);
53 
54   CeedElemRestrictionCreate(ceed, imode, nelem, P*P, ndofs, 1, CEED_MEM_HOST,
55                             CEED_USE_POINTER, indx, &Erestrictu);
56   CeedInt stridesu[3] = {1, Q*Q, Q*Q};
57   CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, nqpts, 1, stridesu,
58                                    &Erestrictui);
59 
60   CeedInt stridesqd[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2};
61   CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, nqpts, dim*(dim+1)/2,
62                                    stridesqd, &Erestrictqi);
63 
64   // Bases
65   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx);
66   CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu);
67 
68   // QFunction - setup mass
69   CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc,
70                               &qf_setup_mass);
71   CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD);
72   CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT);
73   CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE);
74 
75   // Operator - setup mass
76   CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE,
77                      CEED_QFUNCTION_NONE, &op_setup_mass);
78   CeedOperatorSetField(op_setup_mass, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE);
79   CeedOperatorSetField(op_setup_mass, "_weight", CEED_ELEMRESTRICTION_NONE, bx,
80                        CEED_VECTOR_NONE);
81   CeedOperatorSetField(op_setup_mass, "qdata", Erestrictui,
82                        CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
83 
84   // QFunction - setup diff
85   CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc,
86                               &qf_setup_diff);
87   CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD);
88   CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT);
89   CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE);
90 
91   // Operator - setup diff
92   CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE,
93                      CEED_QFUNCTION_NONE, &op_setup_diff);
94   CeedOperatorSetField(op_setup_diff, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE);
95   CeedOperatorSetField(op_setup_diff, "_weight", CEED_ELEMRESTRICTION_NONE, bx,
96                        CEED_VECTOR_NONE);
97   CeedOperatorSetField(op_setup_diff, "qdata", Erestrictqi,
98                        CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
99 
100   // Apply Setup Operators
101   CeedOperatorApply(op_setup_mass, X, qdata_mass, CEED_REQUEST_IMMEDIATE);
102   CeedOperatorApply(op_setup_diff, X, qdata_diff, CEED_REQUEST_IMMEDIATE);
103 
104   // QFunction - apply
105   CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply);
106   CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD);
107   CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE);
108   CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE);
109   CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP);
110   CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP);
111   CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD);
112 
113   // Operator - apply
114   CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
115                      &op_apply);
116   CeedOperatorSetField(op_apply, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE);
117   CeedOperatorSetField(op_apply, "qdata_mass", Erestrictui,
118                        CEED_BASIS_COLLOCATED, qdata_mass);
119   CeedOperatorSetField(op_apply, "qdata_diff", Erestrictqi,
120                        CEED_BASIS_COLLOCATED, qdata_diff);
121   CeedOperatorSetField(op_apply, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE);
122   CeedOperatorSetField(op_apply, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE);
123   CeedOperatorSetField(op_apply, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE);
124 
125   // Apply original operator
126   CeedVectorCreate(ceed, ndofs, &u);
127   CeedVectorSetValue(u, 1.0);
128   CeedVectorCreate(ceed, ndofs, &v);
129   CeedVectorSetValue(v, 0.0);
130   CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE);
131 
132   // Check output
133   CeedScalar area = 0.0;
134   const CeedScalar *vv;
135   CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv);
136   for (CeedInt i=0; i<ndofs; i++)
137     area += vv[i];
138   CeedVectorRestoreArrayRead(v, &vv);
139   if (fabs(area - 1.0) > 1e-14)
140     // LCOV_EXCL_START
141     printf("Error: True operator computed area = %f != 1.0\n", area);
142   // LCOV_EXCL_STOP
143 
144   // Assemble QFunction
145   CeedOperatorAssembleLinearQFunction(op_apply, &A, &Erestrictlini,
146                                       CEED_REQUEST_IMMEDIATE);
147 
148   // QFunction - apply assembled
149   CeedQFunctionCreateInterior(ceed, 1, apply_lin, apply_lin_loc, &qf_apply_lin);
150   CeedQFunctionAddInput(qf_apply_lin, "du", dim, CEED_EVAL_GRAD);
151   CeedQFunctionAddInput(qf_apply_lin, "qdata", (dim+1)*(dim+1), CEED_EVAL_NONE);
152   CeedQFunctionAddInput(qf_apply_lin, "u", 1, CEED_EVAL_INTERP);
153   CeedQFunctionAddOutput(qf_apply_lin, "v", 1, CEED_EVAL_INTERP);
154   CeedQFunctionAddOutput(qf_apply_lin, "dv", dim, CEED_EVAL_GRAD);
155 
156   // Operator - apply assembled
157   CeedOperatorCreate(ceed, qf_apply_lin, CEED_QFUNCTION_NONE,
158                      CEED_QFUNCTION_NONE, &op_apply_lin);
159   CeedOperatorSetField(op_apply_lin, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE);
160   CeedOperatorSetField(op_apply_lin, "qdata", Erestrictlini,
161                        CEED_BASIS_COLLOCATED, A);
162   CeedOperatorSetField(op_apply_lin, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE);
163   CeedOperatorSetField(op_apply_lin, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE);
164   CeedOperatorSetField(op_apply_lin, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE);
165 
166   // Apply assembled QFunction operator
167   CeedVectorSetValue(v, 0.0);
168   CeedOperatorApply(op_apply_lin, u, v, CEED_REQUEST_IMMEDIATE);
169 
170   // Check output
171   area = 0.0;
172   CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv);
173   for (CeedInt i=0; i<ndofs; i++)
174     area += vv[i];
175   CeedVectorRestoreArrayRead(v, &vv);
176   if (fabs(area - 1.0) > 1e-14)
177     // LCOV_EXCL_START
178     printf("Error: Assembled operator computed area = %f != 1.0\n", area);
179   // LCOV_EXCL_STOP
180 
181   // Cleanup
182   CeedQFunctionDestroy(&qf_setup_mass);
183   CeedQFunctionDestroy(&qf_setup_diff);
184   CeedQFunctionDestroy(&qf_apply);
185   CeedQFunctionDestroy(&qf_apply_lin);
186   CeedOperatorDestroy(&op_setup_mass);
187   CeedOperatorDestroy(&op_setup_diff);
188   CeedOperatorDestroy(&op_apply);
189   CeedOperatorDestroy(&op_apply_lin);
190   CeedElemRestrictionDestroy(&Erestrictu);
191   CeedElemRestrictionDestroy(&Erestrictx);
192   CeedElemRestrictionDestroy(&Erestrictui);
193   CeedElemRestrictionDestroy(&Erestrictqi);
194   CeedElemRestrictionDestroy(&Erestrictlini);
195   CeedBasisDestroy(&bu);
196   CeedBasisDestroy(&bx);
197   CeedVectorDestroy(&X);
198   CeedVectorDestroy(&A);
199   CeedVectorDestroy(&qdata_mass);
200   CeedVectorDestroy(&qdata_diff);
201   CeedVectorDestroy(&u);
202   CeedVectorDestroy(&v);
203   CeedDestroy(&ceed);
204   return 0;
205 }
206