xref: /libCEED/tests/t532-operator.c (revision 7509a596beda7c1d002d2274a17375b09541fdb6)
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   CeedInt stridesx[3] = {1, P*P, P *P*dim};
55   CeedElemRestrictionCreateStrided(ceed,  nelem, P*P, nelem*P*P, dim, stridesx,
56                                    &Erestrictxi);
57 
58   CeedElemRestrictionCreate(ceed, imode, nelem, P*P, ndofs, 1, CEED_MEM_HOST,
59                             CEED_USE_POINTER, indx, &Erestrictu);
60   CeedInt stridesu[3] = {1, Q*Q, Q*Q};
61   CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, nqpts, 1, stridesu,
62                                    &Erestrictui);
63 
64   CeedInt stridesqd[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2};
65   CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, nqpts, dim*(dim+1)/2,
66                                    stridesqd, &Erestrictqi);
67 
68   // Bases
69   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx);
70   CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu);
71 
72   // QFunction - setup mass
73   CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc,
74                               &qf_setup_mass);
75   CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD);
76   CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT);
77   CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE);
78 
79   // Operator - setup mass
80   CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE,
81                      CEED_QFUNCTION_NONE, &op_setup_mass);
82   CeedOperatorSetField(op_setup_mass, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE);
83   CeedOperatorSetField(op_setup_mass, "_weight", Erestrictxi, bx,
84                        CEED_VECTOR_NONE);
85   CeedOperatorSetField(op_setup_mass, "qdata", Erestrictui,
86                        CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
87 
88   // QFunction - setup diff
89   CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc,
90                               &qf_setup_diff);
91   CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD);
92   CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT);
93   CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE);
94 
95   // Operator - setup diff
96   CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE,
97                      CEED_QFUNCTION_NONE, &op_setup_diff);
98   CeedOperatorSetField(op_setup_diff, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE);
99   CeedOperatorSetField(op_setup_diff, "_weight", Erestrictxi, bx,
100                        CEED_VECTOR_NONE);
101   CeedOperatorSetField(op_setup_diff, "qdata", Erestrictqi,
102                        CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
103 
104   // Apply Setup Operators
105   CeedOperatorApply(op_setup_mass, X, qdata_mass, CEED_REQUEST_IMMEDIATE);
106   CeedOperatorApply(op_setup_diff, X, qdata_diff, CEED_REQUEST_IMMEDIATE);
107 
108   // QFunction - apply
109   CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply);
110   CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD);
111   CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE);
112   CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE);
113   CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP);
114   CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP);
115   CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD);
116 
117   // Operator - apply
118   CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
119                      &op_apply);
120   CeedOperatorSetField(op_apply, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE);
121   CeedOperatorSetField(op_apply, "qdata_mass", Erestrictui,
122                        CEED_BASIS_COLLOCATED, qdata_mass);
123   CeedOperatorSetField(op_apply, "qdata_diff", Erestrictqi,
124                        CEED_BASIS_COLLOCATED, qdata_diff);
125   CeedOperatorSetField(op_apply, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE);
126   CeedOperatorSetField(op_apply, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE);
127   CeedOperatorSetField(op_apply, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE);
128 
129   // Apply original operator
130   CeedVectorCreate(ceed, ndofs, &u);
131   CeedVectorSetValue(u, 1.0);
132   CeedVectorCreate(ceed, ndofs, &v);
133   CeedVectorSetValue(v, 0.0);
134   CeedOperatorApply(op_apply, u, v, CEED_REQUEST_IMMEDIATE);
135 
136   // Check output
137   CeedScalar area = 0.0;
138   const CeedScalar *vv;
139   CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv);
140   for (CeedInt i=0; i<ndofs; i++)
141     area += vv[i];
142   CeedVectorRestoreArrayRead(v, &vv);
143   if (fabs(area - 1.0) > 1e-14)
144     // LCOV_EXCL_START
145     printf("Error: True operator computed area = %f != 1.0\n", area);
146   // LCOV_EXCL_STOP
147 
148   // Assemble QFunction
149   CeedOperatorAssembleLinearQFunction(op_apply, &A, &Erestrictlini,
150                                       CEED_REQUEST_IMMEDIATE);
151 
152   // QFunction - apply assembled
153   CeedQFunctionCreateInterior(ceed, 1, apply_lin, apply_lin_loc, &qf_apply_lin);
154   CeedQFunctionAddInput(qf_apply_lin, "du", dim, CEED_EVAL_GRAD);
155   CeedQFunctionAddInput(qf_apply_lin, "qdata", (dim+1)*(dim+1), CEED_EVAL_NONE);
156   CeedQFunctionAddInput(qf_apply_lin, "u", 1, CEED_EVAL_INTERP);
157   CeedQFunctionAddOutput(qf_apply_lin, "v", 1, CEED_EVAL_INTERP);
158   CeedQFunctionAddOutput(qf_apply_lin, "dv", dim, CEED_EVAL_GRAD);
159 
160   // Operator - apply assembled
161   CeedOperatorCreate(ceed, qf_apply_lin, CEED_QFUNCTION_NONE,
162                      CEED_QFUNCTION_NONE, &op_apply_lin);
163   CeedOperatorSetField(op_apply_lin, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE);
164   CeedOperatorSetField(op_apply_lin, "qdata", Erestrictlini,
165                        CEED_BASIS_COLLOCATED, A);
166   CeedOperatorSetField(op_apply_lin, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE);
167   CeedOperatorSetField(op_apply_lin, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE);
168   CeedOperatorSetField(op_apply_lin, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE);
169 
170   // Apply assembled QFunction operator
171   CeedVectorSetValue(v, 0.0);
172   CeedOperatorApply(op_apply_lin, u, v, CEED_REQUEST_IMMEDIATE);
173 
174   // Check output
175   area = 0.0;
176   CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv);
177   for (CeedInt i=0; i<ndofs; i++)
178     area += vv[i];
179   CeedVectorRestoreArrayRead(v, &vv);
180   if (fabs(area - 1.0) > 1e-14)
181     // LCOV_EXCL_START
182     printf("Error: Assembled operator computed area = %f != 1.0\n", area);
183   // LCOV_EXCL_STOP
184 
185   // Cleanup
186   CeedQFunctionDestroy(&qf_setup_mass);
187   CeedQFunctionDestroy(&qf_setup_diff);
188   CeedQFunctionDestroy(&qf_apply);
189   CeedQFunctionDestroy(&qf_apply_lin);
190   CeedOperatorDestroy(&op_setup_mass);
191   CeedOperatorDestroy(&op_setup_diff);
192   CeedOperatorDestroy(&op_apply);
193   CeedOperatorDestroy(&op_apply_lin);
194   CeedElemRestrictionDestroy(&Erestrictu);
195   CeedElemRestrictionDestroy(&Erestrictx);
196   CeedElemRestrictionDestroy(&Erestrictui);
197   CeedElemRestrictionDestroy(&Erestrictxi);
198   CeedElemRestrictionDestroy(&Erestrictqi);
199   CeedElemRestrictionDestroy(&Erestrictlini);
200   CeedBasisDestroy(&bu);
201   CeedBasisDestroy(&bx);
202   CeedVectorDestroy(&X);
203   CeedVectorDestroy(&A);
204   CeedVectorDestroy(&qdata_mass);
205   CeedVectorDestroy(&qdata_diff);
206   CeedVectorDestroy(&u);
207   CeedVectorDestroy(&v);
208   CeedDestroy(&ceed);
209   return 0;
210 }
211