xref: /libCEED/tests/t535-operator.c (revision 621cd4619de62aa879af10f6c433e7e1cbbb1a1b)
1 /// @file
2 /// Test assembly of mass and Poisson operator diagonal
3 /// \test Test assembly of mass and Poisson operator diagonal
4 #include <ceed.h>
5 #include <stdlib.h>
6 #include <math.h>
7 #include "t535-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;
14   CeedBasis bx, bu;
15   CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply;
16   CeedOperator op_setup_mass, op_setup_diff, op_apply;
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], assembledTrue[ndofs];
23   CeedScalar *u;
24   const CeedScalar *a, *v;
25 
26   CeedInit(argv[1], &ceed);
27 
28   // DoF Coordinates
29   for (CeedInt i=0; i<nx*2+1; i++)
30     for (CeedInt j=0; j<ny*2+1; j++) {
31       x[i+j*(nx*2+1)+0*ndofs] = (CeedScalar) i / (2*nx);
32       x[i+j*(nx*2+1)+1*ndofs] = (CeedScalar) j / (2*ny);
33     }
34   CeedVectorCreate(ceed, dim*ndofs, &X);
35   CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x);
36 
37   // Qdata Vectors
38   CeedVectorCreate(ceed, nqpts, &qdata_mass);
39   CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata_diff);
40 
41   // Element Setup
42   for (CeedInt i=0; i<nelem; i++) {
43     CeedInt col, row, offset;
44     col = i % nx;
45     row = i / nx;
46     offset = col*(P-1) + row*(nx*2+1)*(P-1);
47     for (CeedInt j=0; j<P; j++)
48       for (CeedInt k=0; k<P; k++)
49         indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j;
50   }
51 
52   // Restrictions
53   CeedElemRestrictionCreate(ceed, imode, nelem, P*P, ndofs, dim, CEED_MEM_HOST,
54                             CEED_USE_POINTER, indx, &Erestrictx);
55 
56   CeedElemRestrictionCreate(ceed, imode, nelem, P*P, ndofs, 1, CEED_MEM_HOST,
57                             CEED_USE_POINTER, indx, &Erestrictu);
58   CeedInt stridesu[3] = {1, Q*Q, Q*Q};
59   CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, nqpts, 1, stridesu,
60                                    &Erestrictui);
61 
62   CeedInt stridesqd[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2};
63   CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, nqpts, dim*(dim+1)/2,
64                                    stridesqd, &Erestrictqi);
65 
66   // Bases
67   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx);
68   CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu);
69 
70   // QFunction - setup mass
71   CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc,
72                               &qf_setup_mass);
73   CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD);
74   CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT);
75   CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE);
76 
77   // Operator - setup mass
78   CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE,
79                      CEED_QFUNCTION_NONE, &op_setup_mass);
80   CeedOperatorSetField(op_setup_mass, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE);
81   CeedOperatorSetField(op_setup_mass, "_weight", CEED_ELEMRESTRICTION_NONE, bx,
82                        CEED_VECTOR_NONE);
83   CeedOperatorSetField(op_setup_mass, "qdata", Erestrictui,
84                        CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
85 
86   // QFunction - setup diff
87   CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc,
88                               &qf_setup_diff);
89   CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD);
90   CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT);
91   CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE);
92 
93   // Operator - setup diff
94   CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE,
95                      CEED_QFUNCTION_NONE, &op_setup_diff);
96   CeedOperatorSetField(op_setup_diff, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE);
97   CeedOperatorSetField(op_setup_diff, "_weight", CEED_ELEMRESTRICTION_NONE, bx,
98                        CEED_VECTOR_NONE);
99   CeedOperatorSetField(op_setup_diff, "qdata", Erestrictqi,
100                        CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
101 
102   // Apply Setup Operators
103   CeedOperatorApply(op_setup_mass, X, qdata_mass, CEED_REQUEST_IMMEDIATE);
104   CeedOperatorApply(op_setup_diff, X, qdata_diff, CEED_REQUEST_IMMEDIATE);
105 
106   // QFunction - apply
107   CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply);
108   CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD);
109   CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE);
110   CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE);
111   CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP);
112   CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP);
113   CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD);
114 
115   // Operator - apply
116   CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
117                      &op_apply);
118   CeedOperatorSetField(op_apply, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE);
119   CeedOperatorSetField(op_apply, "qdata_mass", Erestrictui,
120                        CEED_BASIS_COLLOCATED, qdata_mass);
121   CeedOperatorSetField(op_apply, "qdata_diff", Erestrictqi,
122                        CEED_BASIS_COLLOCATED, qdata_diff);
123   CeedOperatorSetField(op_apply, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE);
124   CeedOperatorSetField(op_apply, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE);
125   CeedOperatorSetField(op_apply, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE);
126 
127   // Assemble diagonal
128   CeedOperatorAssembleLinearDiagonal(op_apply, &A, CEED_REQUEST_IMMEDIATE);
129 
130   // Manually assemble diagonal
131   CeedVectorCreate(ceed, ndofs, &U);
132   CeedVectorSetValue(U, 0.0);
133   CeedVectorCreate(ceed, ndofs, &V);
134   for (int i=0; i<ndofs; i++) {
135     // Set input
136     CeedVectorGetArray(U, CEED_MEM_HOST, &u);
137     u[i] = 1.0;
138     if (i)
139       u[i-1] = 0.0;
140     CeedVectorRestoreArray(U, &u);
141 
142     // Compute diag entry for DoF i
143     CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE);
144 
145     // Retrieve entry
146     CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v);
147     assembledTrue[i] = v[i];
148     CeedVectorRestoreArrayRead(V, &v);
149   }
150 
151   // Check output
152   CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a);
153   for (int i=0; i<ndofs; i++)
154     if (fabs(a[i] - assembledTrue[i]) > 1e-14)
155       // LCOV_EXCL_START
156       printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembledTrue[i]);
157   // LCOV_EXCL_STOP
158 
159   // Cleanup
160   CeedQFunctionDestroy(&qf_setup_mass);
161   CeedQFunctionDestroy(&qf_setup_diff);
162   CeedQFunctionDestroy(&qf_apply);
163   CeedOperatorDestroy(&op_setup_mass);
164   CeedOperatorDestroy(&op_setup_diff);
165   CeedOperatorDestroy(&op_apply);
166   CeedElemRestrictionDestroy(&Erestrictu);
167   CeedElemRestrictionDestroy(&Erestrictx);
168   CeedElemRestrictionDestroy(&Erestrictui);
169   CeedElemRestrictionDestroy(&Erestrictqi);
170   CeedBasisDestroy(&bu);
171   CeedBasisDestroy(&bx);
172   CeedVectorDestroy(&X);
173   CeedVectorDestroy(&A);
174   CeedVectorDestroy(&qdata_mass);
175   CeedVectorDestroy(&qdata_diff);
176   CeedVectorDestroy(&U);
177   CeedVectorDestroy(&V);
178   CeedDestroy(&ceed);
179   return 0;
180 }
181