xref: /libCEED/tests/t532-operator.c (revision 4092d0ee9dee1dc94927b92ec4a4f5b5b7bb02dc)
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                       Erestrictxi, Erestrictui,
14                       Erestrictqi, Erestrictlini;
15   CeedBasis bx, bu;
16   CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply, qf_apply_lin;
17   CeedOperator op_setup_mass, op_setup_diff, op_apply, op_apply_lin;
18   CeedVector qdata_mass, qdata_diff, X, A, u, v;
19   CeedInt nelem = 6, P = 3, Q = 4, dim = 2;
20   CeedInt nx = 3, ny = 2;
21   CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q;
22   CeedInt indx[nelem*P*P];
23   CeedScalar x[dim*ndofs];
24 
25   CeedInit(argv[1], &ceed);
26 
27   // DoF Coordinates
28   for (CeedInt i=0; i<nx*2+1; i++)
29     for (CeedInt j=0; j<ny*2+1; j++) {
30       x[i+j*(nx*2+1)+0*ndofs] = (CeedScalar) i / (2*nx);
31       x[i+j*(nx*2+1)+1*ndofs] = (CeedScalar) j / (2*ny);
32     }
33   CeedVectorCreate(ceed, dim*ndofs, &X);
34   CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x);
35 
36   // Qdata Vectors
37   CeedVectorCreate(ceed, nqpts, &qdata_mass);
38   CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata_diff);
39 
40   // Element Setup
41   for (CeedInt i=0; i<nelem; i++) {
42     CeedInt col, row, offset;
43     col = i % nx;
44     row = i / nx;
45     offset = col*(P-1) + row*(nx*2+1)*(P-1);
46     for (CeedInt j=0; j<P; j++)
47       for (CeedInt k=0; k<P; k++)
48         indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j;
49   }
50 
51   // Restrictions
52   CeedElemRestrictionCreate(ceed, imode, nelem, P*P, ndofs, dim, CEED_MEM_HOST,
53                             CEED_USE_POINTER, indx, &Erestrictx);
54   CeedElemRestrictionCreateIdentity(ceed, imode, nelem, P*P, nelem*P*P, dim,
55                                     &Erestrictxi);
56 
57   CeedElemRestrictionCreate(ceed, imode, nelem, P*P, ndofs, 1, CEED_MEM_HOST,
58                             CEED_USE_POINTER, indx, &Erestrictu);
59   CeedElemRestrictionCreateIdentity(ceed, imode, nelem, Q*Q, nqpts, 1,
60                                     &Erestrictui);
61 
62   CeedElemRestrictionCreateIdentity(ceed, imode, nelem, Q*Q, nqpts,
63                                     dim*(dim+1)/2, &Erestrictqi);
64 
65   // Bases
66   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx);
67   CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu);
68 
69   // QFunction - setup mass
70   CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc,
71                               &qf_setup_mass);
72   CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD);
73   CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT);
74   CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE);
75 
76   // Operator - setup mass
77   CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE,
78                      CEED_QFUNCTION_NONE, &op_setup_mass);
79   CeedOperatorSetField(op_setup_mass, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE);
80   CeedOperatorSetField(op_setup_mass, "_weight", Erestrictxi, bx,
81                        CEED_VECTOR_NONE);
82   CeedOperatorSetField(op_setup_mass, "qdata", Erestrictui,
83                        CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
84 
85   // QFunction - setup diff
86   CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc,
87                               &qf_setup_diff);
88   CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD);
89   CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT);
90   CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE);
91 
92   // Operator - setup diff
93   CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE,
94                      CEED_QFUNCTION_NONE, &op_setup_diff);
95   CeedOperatorSetField(op_setup_diff, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE);
96   CeedOperatorSetField(op_setup_diff, "_weight", Erestrictxi, bx,
97                        CEED_VECTOR_NONE);
98   CeedOperatorSetField(op_setup_diff, "qdata", Erestrictqi,
99                        CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
100 
101   // Apply Setup Operators
102   CeedOperatorApply(op_setup_mass, X, qdata_mass, CEED_REQUEST_IMMEDIATE);
103   CeedOperatorApply(op_setup_diff, X, qdata_diff, CEED_REQUEST_IMMEDIATE);
104 
105   // QFunction - apply
106   CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply);
107   CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD);
108   CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE);
109   CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE);
110   CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP);
111   CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP);
112   CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD);
113 
114   // Operator - apply
115   CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
116                      &op_apply);
117   CeedOperatorSetField(op_apply, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE);
118   CeedOperatorSetField(op_apply, "qdata_mass", Erestrictui,
119                        CEED_BASIS_COLLOCATED, qdata_mass);
120   CeedOperatorSetField(op_apply, "qdata_diff", Erestrictqi,
121                        CEED_BASIS_COLLOCATED, qdata_diff);
122   CeedOperatorSetField(op_apply, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE);
123   CeedOperatorSetField(op_apply, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE);
124   CeedOperatorSetField(op_apply, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE);
125 
126   // Apply original operator
127   CeedVectorCreate(ceed, ndofs, &u);
128   CeedVectorSetValue(u, 1.0);
129   CeedVectorCreate(ceed, ndofs, &v);
130   CeedVectorSetValue(v, 0.0);
131   CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE);
132 
133   // Check output
134   CeedScalar area = 0.0;
135   const CeedScalar *vv;
136   CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv);
137   for (CeedInt i=0; i<ndofs; i++)
138     area += vv[i];
139   CeedVectorRestoreArrayRead(v, &vv);
140   if (fabs(area - 1.0) > 1e-14)
141     // LCOV_EXCL_START
142     printf("Error: True operator computed area = %f != 1.0\n", area);
143   // LCOV_EXCL_STOP
144 
145   // Assemble QFunction
146   CeedOperatorAssembleLinearQFunction(op_apply, &A, &Erestrictlini,
147                                       CEED_REQUEST_IMMEDIATE);
148 
149   // QFunction - apply assembled
150   CeedQFunctionCreateInterior(ceed, 1, apply_lin, apply_lin_loc, &qf_apply_lin);
151   CeedQFunctionAddInput(qf_apply_lin, "du", dim, CEED_EVAL_GRAD);
152   CeedQFunctionAddInput(qf_apply_lin, "qdata", (dim+1)*(dim+1), CEED_EVAL_NONE);
153   CeedQFunctionAddInput(qf_apply_lin, "u", 1, CEED_EVAL_INTERP);
154   CeedQFunctionAddOutput(qf_apply_lin, "v", 1, CEED_EVAL_INTERP);
155   CeedQFunctionAddOutput(qf_apply_lin, "dv", dim, CEED_EVAL_GRAD);
156 
157   // Operator - apply assembled
158   CeedOperatorCreate(ceed, qf_apply_lin, CEED_QFUNCTION_NONE,
159                      CEED_QFUNCTION_NONE, &op_apply_lin);
160   CeedOperatorSetField(op_apply_lin, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE);
161   CeedOperatorSetField(op_apply_lin, "qdata", Erestrictlini,
162                        CEED_BASIS_COLLOCATED, A);
163   CeedOperatorSetField(op_apply_lin, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE);
164   CeedOperatorSetField(op_apply_lin, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE);
165   CeedOperatorSetField(op_apply_lin, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE);
166 
167   // Apply assembled QFunction operator
168   CeedVectorSetValue(v, 0.0);
169   CeedOperatorApply(op_apply_lin, u, v, CEED_REQUEST_IMMEDIATE);
170 
171   // Check output
172   area = 0.0;
173   CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv);
174   for (CeedInt i=0; i<ndofs; i++)
175     area += vv[i];
176   CeedVectorRestoreArrayRead(v, &vv);
177   if (fabs(area - 1.0) > 1e-14)
178     // LCOV_EXCL_START
179     printf("Error: Assembled operator computed area = %f != 1.0\n", area);
180   // LCOV_EXCL_STOP
181 
182   // Cleanup
183   CeedQFunctionDestroy(&qf_setup_mass);
184   CeedQFunctionDestroy(&qf_setup_diff);
185   CeedQFunctionDestroy(&qf_apply);
186   CeedQFunctionDestroy(&qf_apply_lin);
187   CeedOperatorDestroy(&op_setup_mass);
188   CeedOperatorDestroy(&op_setup_diff);
189   CeedOperatorDestroy(&op_apply);
190   CeedOperatorDestroy(&op_apply_lin);
191   CeedElemRestrictionDestroy(&Erestrictu);
192   CeedElemRestrictionDestroy(&Erestrictx);
193   CeedElemRestrictionDestroy(&Erestrictui);
194   CeedElemRestrictionDestroy(&Erestrictxi);
195   CeedElemRestrictionDestroy(&Erestrictqi);
196   CeedElemRestrictionDestroy(&Erestrictlini);
197   CeedBasisDestroy(&bu);
198   CeedBasisDestroy(&bx);
199   CeedVectorDestroy(&X);
200   CeedVectorDestroy(&A);
201   CeedVectorDestroy(&qdata_mass);
202   CeedVectorDestroy(&qdata_diff);
203   CeedVectorDestroy(&u);
204   CeedVectorDestroy(&v);
205   CeedDestroy(&ceed);
206   return 0;
207 }
208