xref: /libCEED/tests/t560-operator.c (revision cfa59c5b0c41ee3c7ca5285b7ce2579e871e5f29) !
1 /// @file
2 /// Test full assembly of mass matrix operator
3 /// \test Test full assembly of mass matrix operator
4 #include <ceed.h>
5 #include <stdlib.h>
6 #include <math.h>
7 #include "t510-operator.h"
8 
9 int main(int argc, char **argv) {
10   Ceed ceed;
11   CeedElemRestriction Erestrictx, Erestrictu,
12                       Erestrictui;
13   CeedBasis bx, bu;
14   CeedQFunction qf_setup, qf_mass;
15   CeedOperator op_setup, op_mass;
16   CeedVector qdata, X, U, V;
17   CeedInt P = 3, Q = 4, dim = 2;
18   CeedInt nx = 3, ny = 2;
19   CeedInt nelem = nx * ny;
20   CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q;
21   CeedInt indx[nelem*P*P];
22   CeedScalar assembled[ndofs*ndofs];
23   CeedScalar x[dim*ndofs], assembledTrue[ndofs*ndofs];
24   CeedScalar *u;
25   const CeedScalar *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 Vector
39   CeedVectorCreate(ceed, nqpts, &qdata);
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, nelem, P*P, dim, ndofs, dim*ndofs,
54                             CEED_MEM_HOST, CEED_USE_POINTER, indx, &Erestrictx);
55 
56   CeedElemRestrictionCreate(ceed, nelem, P*P, 1, 1, ndofs, CEED_MEM_HOST,
57                             CEED_USE_POINTER, indx, &Erestrictu);
58   CeedInt stridesu[3] = {1, Q*Q, Q*Q};
59   CeedElemRestrictionCreateStrided(ceed, nelem, Q*Q, 1, nqpts, stridesu,
60                                    &Erestrictui);
61 
62   // Bases
63   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx);
64   CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu);
65 
66   // QFunctions
67   CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
68   CeedQFunctionAddInput(qf_setup, "_weight", 1, CEED_EVAL_WEIGHT);
69   CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD);
70   CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE);
71 
72   CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
73   CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE);
74   CeedQFunctionAddInput(qf_mass, "u", 1, CEED_EVAL_INTERP);
75   CeedQFunctionAddOutput(qf_mass, "v", 1, CEED_EVAL_INTERP);
76 
77   // Operators
78   CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
79                      &op_setup);
80   CeedOperatorSetField(op_setup, "_weight", CEED_ELEMRESTRICTION_NONE, bx,
81                        CEED_VECTOR_NONE);
82   CeedOperatorSetField(op_setup, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE);
83   CeedOperatorSetField(op_setup, "rho", Erestrictui, CEED_BASIS_COLLOCATED,
84                        CEED_VECTOR_ACTIVE);
85 
86   CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
87                      &op_mass);
88   CeedOperatorSetField(op_mass, "rho", Erestrictui, CEED_BASIS_COLLOCATED,
89                        qdata);
90   CeedOperatorSetField(op_mass, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE);
91   CeedOperatorSetField(op_mass, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE);
92 
93   // Apply Setup Operator
94   CeedOperatorApply(op_setup, X, qdata, CEED_REQUEST_IMMEDIATE);
95 
96   // Fully assemble operator
97   for (int k=0; k<ndofs*ndofs; ++k) {
98     assembled[k] = 0.0;
99     assembledTrue[k] = 0.0;
100   }
101   CeedInt nentries;
102   CeedInt *rows;
103   CeedInt *cols;
104   CeedVector values;
105   CeedOperatorLinearAssembleSymbolic(op_mass, &nentries, &rows, &cols);
106   CeedVectorCreate(ceed, nentries, &values);
107   CeedOperatorLinearAssemble(op_mass, values);
108   const CeedScalar *vals;
109   CeedVectorGetArrayRead(values, CEED_MEM_HOST, &vals);
110   for (int k=0; k<nentries; ++k) {
111     assembled[rows[k]*ndofs + cols[k]] += vals[k];
112   }
113   CeedVectorRestoreArrayRead(values, &vals);
114 
115   // Manually assemble operator
116   CeedVectorCreate(ceed, ndofs, &U);
117   CeedVectorSetValue(U, 0.0);
118   CeedVectorCreate(ceed, ndofs, &V);
119   for (int i=0; i<ndofs; i++) {
120     // Set input
121     CeedVectorGetArray(U, CEED_MEM_HOST, &u);
122     u[i] = 1.0;
123     if (i)
124       u[i-1] = 0.0;
125     CeedVectorRestoreArray(U, &u);
126 
127     // Compute entries for column i
128     CeedOperatorApply(op_mass, U, V, CEED_REQUEST_IMMEDIATE);
129 
130     CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v);
131     for (int k=0; k<ndofs; k++) {
132       assembledTrue[i*ndofs + k] = v[k];
133     }
134     CeedVectorRestoreArrayRead(V, &v);
135   }
136 
137   // Check output
138   for (int i=0; i<ndofs; i++)
139     for (int j=0; j<ndofs; j++)
140       if (fabs(assembled[j*ndofs+i] - assembledTrue[j*ndofs+i]) > 1e-14)
141         // LCOV_EXCL_START
142         printf("[%d,%d] Error in assembly: %f != %f\n", i, j,
143                assembled[j*ndofs+i], assembledTrue[j*ndofs+i]);
144   // LCOV_EXCL_STOP
145 
146   // Cleanup
147   free(rows);
148   free(cols);
149   CeedVectorDestroy(&values);
150   CeedQFunctionDestroy(&qf_setup);
151   CeedQFunctionDestroy(&qf_mass);
152   CeedOperatorDestroy(&op_setup);
153   CeedOperatorDestroy(&op_mass);
154   CeedElemRestrictionDestroy(&Erestrictu);
155   CeedElemRestrictionDestroy(&Erestrictx);
156   CeedElemRestrictionDestroy(&Erestrictui);
157   CeedBasisDestroy(&bu);
158   CeedBasisDestroy(&bx);
159   CeedVectorDestroy(&X);
160   CeedVectorDestroy(&qdata);
161   CeedVectorDestroy(&U);
162   CeedVectorDestroy(&V);
163   CeedDestroy(&ceed);
164   return 0;
165 }
166