xref: /libCEED/tests/t531-operator.c (revision 59f9181e1c585e2777fc79a7abc99a62c123904e)
1 /// @file
2 /// Test assembly of Poisson operator QFunction
3 /// \test Test assembly of Poisson operator QFunction
4 #include <ceed.h>
5 #include <stdlib.h>
6 #include <math.h>
7 #include "t531-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, qf_diff, qf_diff_lin;
17   CeedOperator op_setup, op_diff, op_diff_lin;
18   CeedVector qdata, 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 Vector
37   CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata);
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   CeedInt stridesx[3] = {1, P*P, P *P*dim};
54   CeedElemRestrictionCreateStrided(ceed,  nelem, P*P, nelem*P*P, dim, stridesx,
55                                    &Erestrictxi);
56 
57   CeedElemRestrictionCreate(ceed, imode, nelem, P*P, ndofs, 1, CEED_MEM_HOST,
58                             CEED_USE_POINTER, indx, &Erestrictu);
59   CeedInt stridesu[3] = {1, Q*Q, Q *Q*dim};
60   CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, nqpts, 1, stridesu,
61                                    &Erestrictui);
62 
63   CeedInt stridesqd[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2};
64   CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, nqpts, dim*(dim+1)/2,
65                                    stridesqd, &Erestrictqi);
66 
67   // Bases
68   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx);
69   CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu);
70 
71   // QFunction - setup
72   CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
73   CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD);
74   CeedQFunctionAddInput(qf_setup, "_weight", 1, CEED_EVAL_WEIGHT);
75   CeedQFunctionAddOutput(qf_setup, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE);
76 
77   // Operator - setup
78   CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
79                      &op_setup);
80   CeedOperatorSetField(op_setup, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE);
81   CeedOperatorSetField(op_setup, "_weight", Erestrictxi, bx, CEED_VECTOR_NONE);
82   CeedOperatorSetField(op_setup, "qdata", Erestrictqi, CEED_BASIS_COLLOCATED,
83                        CEED_VECTOR_ACTIVE);
84 
85   // Apply Setup Operator
86   CeedOperatorApply(op_setup, X, qdata, CEED_REQUEST_IMMEDIATE);
87 
88   // QFunction - apply
89   CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diff);
90   CeedQFunctionAddInput(qf_diff, "du", dim, CEED_EVAL_GRAD);
91   CeedQFunctionAddInput(qf_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE);
92   CeedQFunctionAddOutput(qf_diff, "dv", dim, CEED_EVAL_GRAD);
93 
94   // Operator - apply
95   CeedOperatorCreate(ceed, qf_diff, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
96                      &op_diff);
97   CeedOperatorSetField(op_diff, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE);
98   CeedOperatorSetField(op_diff, "qdata", Erestrictqi, CEED_BASIS_COLLOCATED,
99                        qdata);
100   CeedOperatorSetField(op_diff, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE);
101 
102   // Apply original Poisson Operator
103   CeedVectorCreate(ceed, ndofs, &u);
104   CeedVectorSetValue(u, 1.0);
105   CeedVectorCreate(ceed, ndofs, &v);
106   CeedVectorSetValue(v, 0.0);
107   CeedOperatorApply(op_diff, u, v, CEED_REQUEST_IMMEDIATE);
108 
109   // Check output
110   const CeedScalar *vv;
111   CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv);
112   for (CeedInt i=0; i<ndofs; i++)
113     if (fabs(vv[i]) > 1e-14)
114       // LCOV_EXCL_START
115       printf("Error: Operator computed v[i] = %f != 0.0\n", vv[i]);
116   // LCOV_EXCL_STOP
117   CeedVectorRestoreArrayRead(v, &vv);
118 
119   // Assemble QFunction
120   CeedOperatorAssembleLinearQFunction(op_diff, &A, &Erestrictlini,
121                                       CEED_REQUEST_IMMEDIATE);
122 
123   // QFunction - apply assembled
124   CeedQFunctionCreateInterior(ceed, 1, diff_lin, diff_lin_loc, &qf_diff_lin);
125   CeedQFunctionAddInput(qf_diff_lin, "du", dim, CEED_EVAL_GRAD);
126   CeedQFunctionAddInput(qf_diff_lin, "qdata", dim*dim, CEED_EVAL_NONE);
127   CeedQFunctionAddOutput(qf_diff_lin, "dv", dim, CEED_EVAL_GRAD);
128 
129   // Operator - apply assembled
130   CeedOperatorCreate(ceed, qf_diff_lin, CEED_QFUNCTION_NONE,
131                      CEED_QFUNCTION_NONE, &op_diff_lin);
132   CeedOperatorSetField(op_diff_lin, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE);
133   CeedOperatorSetField(op_diff_lin, "qdata", Erestrictlini,
134                        CEED_BASIS_COLLOCATED, A);
135   CeedOperatorSetField(op_diff_lin, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE);
136 
137   // Apply new Poisson Operator
138   CeedVectorSetValue(v, 0.0);
139   CeedOperatorApply(op_diff_lin, u, v, CEED_REQUEST_IMMEDIATE);
140 
141   // Check output
142   CeedVectorGetArrayRead(v, CEED_MEM_HOST, &vv);
143   for (CeedInt i=0; i<ndofs; i++)
144     if (fabs(vv[i]) > 1e-14)
145       // LCOV_EXCL_START
146       printf("Error: Linerized operator computed v[i] = %f != 0.0\n", vv[i]);
147   // LCOV_EXCL_STOP
148   CeedVectorRestoreArrayRead(v, &vv);
149 
150   // Cleanup
151   CeedQFunctionDestroy(&qf_setup);
152   CeedQFunctionDestroy(&qf_diff);
153   CeedQFunctionDestroy(&qf_diff_lin);
154   CeedOperatorDestroy(&op_setup);
155   CeedOperatorDestroy(&op_diff);
156   CeedOperatorDestroy(&op_diff_lin);
157   CeedElemRestrictionDestroy(&Erestrictu);
158   CeedElemRestrictionDestroy(&Erestrictx);
159   CeedElemRestrictionDestroy(&Erestrictui);
160   CeedElemRestrictionDestroy(&Erestrictxi);
161   CeedElemRestrictionDestroy(&Erestrictqi);
162   CeedElemRestrictionDestroy(&Erestrictlini);
163   CeedBasisDestroy(&bu);
164   CeedBasisDestroy(&bx);
165   CeedVectorDestroy(&X);
166   CeedVectorDestroy(&A);
167   CeedVectorDestroy(&qdata);
168   CeedVectorDestroy(&u);
169   CeedVectorDestroy(&v);
170   CeedDestroy(&ceed);
171   return 0;
172 }
173