xref: /libCEED/tests/t533-operator.c (revision 39b2de37682296be8460181179eb4e44de5cc3de)
1 /// @file
2 /// Test assembly of mass matrix operator QFunction
3 /// \test Test assembly of mass matrix operator QFunction
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                       Erestrictxi, Erestrictui;
13   CeedBasis bx, bu;
14   CeedQFunction qf_setup, qf_mass;
15   CeedOperator op_setup, op_mass;
16   CeedVector qdata, X, A, U, V;
17   CeedInt nelem = 6, P = 3, Q = 4, dim = 2;
18   CeedInt nx = 3, ny = 2;
19   CeedInt ndofs = (nx*2+1)*(ny*2+1), nqpts = nelem*Q*Q;
20   CeedInt indx[nelem*P*P];
21   CeedScalar x[dim*ndofs], assembledTrue[ndofs];
22   CeedScalar *u;
23   const CeedScalar *a, *v;
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, &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, nelem, P*P, ndofs, dim, CEED_MEM_HOST,
52                             CEED_USE_POINTER, indx, &Erestrictx);
53   CeedElemRestrictionCreateIdentity(ceed, nelem, P*P, nelem*P*P, dim,
54                                     &Erestrictxi);
55 
56   CeedElemRestrictionCreate(ceed, nelem, P*P, ndofs, 1, CEED_MEM_HOST,
57                             CEED_USE_POINTER, indx, &Erestrictu);
58   CeedElemRestrictionCreateIdentity(ceed, nelem, Q*Q, nqpts, 1, &Erestrictui);
59 
60   // Bases
61   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, P, Q, CEED_GAUSS, &bx);
62   CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, CEED_GAUSS, &bu);
63 
64   // QFunctions
65   CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setup);
66   CeedQFunctionAddInput(qf_setup, "_weight", 1, CEED_EVAL_WEIGHT);
67   CeedQFunctionAddInput(qf_setup, "dx", dim*dim, CEED_EVAL_GRAD);
68   CeedQFunctionAddOutput(qf_setup, "rho", 1, CEED_EVAL_NONE);
69 
70   CeedQFunctionCreateInterior(ceed, 1, mass, mass_loc, &qf_mass);
71   CeedQFunctionAddInput(qf_mass, "rho", 1, CEED_EVAL_NONE);
72   CeedQFunctionAddInput(qf_mass, "u", 1, CEED_EVAL_INTERP);
73   CeedQFunctionAddOutput(qf_mass, "v", 1, CEED_EVAL_INTERP);
74 
75   // Operators
76   CeedOperatorCreate(ceed, qf_setup, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
77                      &op_setup);
78   CeedOperatorSetField(op_setup, "_weight", Erestrictxi, CEED_NOTRANSPOSE, bx,
79                        CEED_VECTOR_NONE);
80   CeedOperatorSetField(op_setup, "dx", Erestrictx, CEED_NOTRANSPOSE, bx,
81                        CEED_VECTOR_ACTIVE);
82   CeedOperatorSetField(op_setup, "rho", Erestrictui, CEED_NOTRANSPOSE,
83                        CEED_BASIS_COLLOCATED, CEED_VECTOR_ACTIVE);
84 
85   CeedOperatorCreate(ceed, qf_mass, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
86                      &op_mass);
87   CeedOperatorSetField(op_mass, "rho", Erestrictui, CEED_NOTRANSPOSE,
88                        CEED_BASIS_COLLOCATED, qdata);
89   CeedOperatorSetField(op_mass, "u", Erestrictu, CEED_NOTRANSPOSE, bu,
90                        CEED_VECTOR_ACTIVE);
91   CeedOperatorSetField(op_mass, "v", Erestrictu, CEED_NOTRANSPOSE, bu,
92                        CEED_VECTOR_ACTIVE);
93 
94   // Apply Setup Operator
95   CeedOperatorApply(op_setup, X, qdata, CEED_REQUEST_IMMEDIATE);
96 
97   // Assemble diagonal
98   CeedOperatorAssembleLinearDiagonal(op_mass, &A, CEED_REQUEST_IMMEDIATE);
99 
100   // Manually assemble diagonal
101   CeedVectorCreate(ceed, ndofs, &U);
102   CeedVectorSetValue(U, 0.0);
103   CeedVectorCreate(ceed, ndofs, &V);
104   for (int i=0; i<ndofs; i++) {
105     // Set input
106     CeedVectorGetArray(U, CEED_MEM_HOST, &u);
107     u[i] = 1.0;
108     if (i)
109       u[i-1] = 0.0;
110     CeedVectorRestoreArray(U, &u);
111 
112     // Compute diag entry for DoF i
113     CeedOperatorApply(op_mass, U, V, CEED_REQUEST_IMMEDIATE);
114 
115     // Retrieve entry
116     CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v);
117     assembledTrue[i] = v[i];
118     CeedVectorRestoreArrayRead(V, &v);
119   }
120 
121   // Check output
122   CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a);
123   for (int i=0; i<ndofs; i++)
124     if (fabs(a[i] - assembledTrue[i]) > 1e-14)
125       // LCOV_EXCL_START
126       printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembledTrue[i]);
127   // LCOV_EXCL_STOP
128 
129   // Cleanup
130   CeedQFunctionDestroy(&qf_setup);
131   CeedQFunctionDestroy(&qf_mass);
132   CeedOperatorDestroy(&op_setup);
133   CeedOperatorDestroy(&op_mass);
134   CeedElemRestrictionDestroy(&Erestrictu);
135   CeedElemRestrictionDestroy(&Erestrictx);
136   CeedElemRestrictionDestroy(&Erestrictui);
137   CeedElemRestrictionDestroy(&Erestrictxi);
138   CeedBasisDestroy(&bu);
139   CeedBasisDestroy(&bx);
140   CeedVectorDestroy(&X);
141   CeedVectorDestroy(&A);
142   CeedVectorDestroy(&qdata);
143   CeedVectorDestroy(&U);
144   CeedVectorDestroy(&V);
145   CeedDestroy(&ceed);
146   return 0;
147 }
148