xref: /libCEED/tests/t535-operator.c (revision 7509a596beda7c1d002d2274a17375b09541fdb6)
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                       Erestrictxi, Erestrictui,
14                       Erestrictqi;
15   CeedBasis bx, bu;
16   CeedQFunction qf_setup_mass, qf_setup_diff, qf_apply;
17   CeedOperator op_setup_mass, op_setup_diff, op_apply;
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], assembledTrue[ndofs];
24   CeedScalar *u;
25   const CeedScalar *a, *v;
26 
27   CeedInit(argv[1], &ceed);
28 
29   // DoF Coordinates
30   for (CeedInt i=0; i<nx*2+1; i++)
31     for (CeedInt j=0; j<ny*2+1; j++) {
32       x[i+j*(nx*2+1)+0*ndofs] = (CeedScalar) i / (2*nx);
33       x[i+j*(nx*2+1)+1*ndofs] = (CeedScalar) j / (2*ny);
34     }
35   CeedVectorCreate(ceed, dim*ndofs, &X);
36   CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x);
37 
38   // Qdata Vectors
39   CeedVectorCreate(ceed, nqpts, &qdata_mass);
40   CeedVectorCreate(ceed, nqpts*dim*(dim+1)/2, &qdata_diff);
41 
42   // Element Setup
43   for (CeedInt i=0; i<nelem; i++) {
44     CeedInt col, row, offset;
45     col = i % nx;
46     row = i / nx;
47     offset = col*(P-1) + row*(nx*2+1)*(P-1);
48     for (CeedInt j=0; j<P; j++)
49       for (CeedInt k=0; k<P; k++)
50         indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j;
51   }
52 
53   // Restrictions
54   CeedElemRestrictionCreate(ceed, imode, nelem, P*P, ndofs, dim, CEED_MEM_HOST,
55                             CEED_USE_POINTER, indx, &Erestrictx);
56   CeedInt stridesx[3] = {1, P*P, P *P*dim};
57   CeedElemRestrictionCreateStrided(ceed,  nelem, P*P, nelem*P*P, dim, stridesx,
58                                    &Erestrictxi);
59 
60   CeedElemRestrictionCreate(ceed, imode, nelem, P*P, ndofs, 1, CEED_MEM_HOST,
61                             CEED_USE_POINTER, indx, &Erestrictu);
62   CeedInt stridesu[3] = {1, Q*Q, Q*Q};
63   CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, nqpts, 1, stridesu,
64                                    &Erestrictui);
65 
66   CeedInt stridesqd[3] = {1, Q*Q, Q *Q *dim *(dim+1)/2};
67   CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, nqpts, dim*(dim+1)/2,
68                                    stridesqd, &Erestrictqi);
69 
70   // Bases
71   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx);
72   CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu);
73 
74   // QFunction - setup mass
75   CeedQFunctionCreateInterior(ceed, 1, setup_mass, setup_mass_loc,
76                               &qf_setup_mass);
77   CeedQFunctionAddInput(qf_setup_mass, "dx", dim*dim, CEED_EVAL_GRAD);
78   CeedQFunctionAddInput(qf_setup_mass, "_weight", 1, CEED_EVAL_WEIGHT);
79   CeedQFunctionAddOutput(qf_setup_mass, "qdata", 1, CEED_EVAL_NONE);
80 
81   // Operator - setup mass
82   CeedOperatorCreate(ceed, qf_setup_mass, CEED_QFUNCTION_NONE,
83                      CEED_QFUNCTION_NONE, &op_setup_mass);
84   CeedOperatorSetField(op_setup_mass, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE);
85   CeedOperatorSetField(op_setup_mass, "_weight", Erestrictxi, bx,
86                        CEED_VECTOR_NONE);
87   CeedOperatorSetField(op_setup_mass, "qdata", Erestrictui,
88                        CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
89 
90   // QFunction - setup diff
91   CeedQFunctionCreateInterior(ceed, 1, setup_diff, setup_diff_loc,
92                               &qf_setup_diff);
93   CeedQFunctionAddInput(qf_setup_diff, "dx", dim*dim, CEED_EVAL_GRAD);
94   CeedQFunctionAddInput(qf_setup_diff, "_weight", 1, CEED_EVAL_WEIGHT);
95   CeedQFunctionAddOutput(qf_setup_diff, "qdata", dim*(dim+1)/2, CEED_EVAL_NONE);
96 
97   // Operator - setup diff
98   CeedOperatorCreate(ceed, qf_setup_diff, CEED_QFUNCTION_NONE,
99                      CEED_QFUNCTION_NONE, &op_setup_diff);
100   CeedOperatorSetField(op_setup_diff, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE);
101   CeedOperatorSetField(op_setup_diff, "_weight", Erestrictxi, bx,
102                        CEED_VECTOR_NONE);
103   CeedOperatorSetField(op_setup_diff, "qdata", Erestrictqi,
104                        CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
105 
106   // Apply Setup Operators
107   CeedOperatorApply(op_setup_mass, X, qdata_mass, CEED_REQUEST_IMMEDIATE);
108   CeedOperatorApply(op_setup_diff, X, qdata_diff, CEED_REQUEST_IMMEDIATE);
109 
110   // QFunction - apply
111   CeedQFunctionCreateInterior(ceed, 1, apply, apply_loc, &qf_apply);
112   CeedQFunctionAddInput(qf_apply, "du", dim, CEED_EVAL_GRAD);
113   CeedQFunctionAddInput(qf_apply, "qdata_mass", 1, CEED_EVAL_NONE);
114   CeedQFunctionAddInput(qf_apply, "qdata_diff", dim*(dim+1)/2, CEED_EVAL_NONE);
115   CeedQFunctionAddInput(qf_apply, "u", 1, CEED_EVAL_INTERP);
116   CeedQFunctionAddOutput(qf_apply, "v", 1, CEED_EVAL_INTERP);
117   CeedQFunctionAddOutput(qf_apply, "dv", dim, CEED_EVAL_GRAD);
118 
119   // Operator - apply
120   CeedOperatorCreate(ceed, qf_apply, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
121                      &op_apply);
122   CeedOperatorSetField(op_apply, "du", Erestrictu, bu, CEED_VECTOR_ACTIVE);
123   CeedOperatorSetField(op_apply, "qdata_mass", Erestrictui,
124                        CEED_BASIS_COLLOCATED, qdata_mass);
125   CeedOperatorSetField(op_apply, "qdata_diff", Erestrictqi,
126                        CEED_BASIS_COLLOCATED, qdata_diff);
127   CeedOperatorSetField(op_apply, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE);
128   CeedOperatorSetField(op_apply, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE);
129   CeedOperatorSetField(op_apply, "dv", Erestrictu, bu, CEED_VECTOR_ACTIVE);
130 
131   // Assemble diagonal
132   CeedOperatorAssembleLinearDiagonal(op_apply, &A, CEED_REQUEST_IMMEDIATE);
133 
134   // Manually assemble diagonal
135   CeedVectorCreate(ceed, ndofs, &U);
136   CeedVectorSetValue(U, 0.0);
137   CeedVectorCreate(ceed, ndofs, &V);
138   for (int i=0; i<ndofs; i++) {
139     // Set input
140     CeedVectorGetArray(U, CEED_MEM_HOST, &u);
141     u[i] = 1.0;
142     if (i)
143       u[i-1] = 0.0;
144     CeedVectorRestoreArray(U, &u);
145 
146     // Compute diag entry for DoF i
147     CeedOperatorApply(op_apply, U, V, CEED_REQUEST_IMMEDIATE);
148 
149     // Retrieve entry
150     CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v);
151     assembledTrue[i] = v[i];
152     CeedVectorRestoreArrayRead(V, &v);
153   }
154 
155   // Check output
156   CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a);
157   for (int i=0; i<ndofs; i++)
158     if (fabs(a[i] - assembledTrue[i]) > 1e-14)
159       // LCOV_EXCL_START
160       printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembledTrue[i]);
161   // LCOV_EXCL_STOP
162 
163   // Cleanup
164   CeedQFunctionDestroy(&qf_setup_mass);
165   CeedQFunctionDestroy(&qf_setup_diff);
166   CeedQFunctionDestroy(&qf_apply);
167   CeedOperatorDestroy(&op_setup_mass);
168   CeedOperatorDestroy(&op_setup_diff);
169   CeedOperatorDestroy(&op_apply);
170   CeedElemRestrictionDestroy(&Erestrictu);
171   CeedElemRestrictionDestroy(&Erestrictx);
172   CeedElemRestrictionDestroy(&Erestrictui);
173   CeedElemRestrictionDestroy(&Erestrictxi);
174   CeedElemRestrictionDestroy(&Erestrictqi);
175   CeedBasisDestroy(&bu);
176   CeedBasisDestroy(&bx);
177   CeedVectorDestroy(&X);
178   CeedVectorDestroy(&A);
179   CeedVectorDestroy(&qdata_mass);
180   CeedVectorDestroy(&qdata_diff);
181   CeedVectorDestroy(&U);
182   CeedVectorDestroy(&V);
183   CeedDestroy(&ceed);
184   return 0;
185 }
186