xref: /libCEED/tests/t533-operator.c (revision a8d322087fa8f150327cdc2bf14a171452b711ec)
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   CeedTransposeMode lmode = CEED_NOTRANSPOSE;
12   CeedElemRestriction Erestrictx, Erestrictu,
13                       Erestrictxi, Erestrictui;
14   CeedBasis bx, bu;
15   CeedQFunction qf_setup, qf_mass;
16   CeedOperator op_setup, op_mass;
17   CeedVector qdata, 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 Vector
38   CeedVectorCreate(ceed, nqpts, &qdata);
39 
40   // Element Setup
41   for (CeedInt i=0; i<nelem; i++) {
42     CeedInt col, row, offset;
43     col = i % nx;
44     row = i / nx;
45     offset = col*(P-1) + row*(nx*2+1)*(P-1);
46     for (CeedInt j=0; j<P; j++)
47       for (CeedInt k=0; k<P; k++)
48         indx[P*(P*i+k)+j] = offset + k*(nx*2+1) + j;
49   }
50 
51   // Restrictions
52   CeedElemRestrictionCreate(ceed, lmode, nelem, P*P, ndofs, dim, CEED_MEM_HOST,
53                             CEED_USE_POINTER, indx, &Erestrictx);
54   CeedElemRestrictionCreateIdentity(ceed, lmode, nelem, P*P, nelem*P*P, dim,
55                                     &Erestrictxi);
56 
57   CeedElemRestrictionCreate(ceed, lmode, nelem, P*P, ndofs, 1, CEED_MEM_HOST,
58                             CEED_USE_POINTER, indx, &Erestrictu);
59   CeedElemRestrictionCreateIdentity(ceed, lmode, nelem, Q*Q, nqpts, 1,
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", Erestrictxi, bx, CEED_VECTOR_NONE);
81   CeedOperatorSetField(op_setup, "dx", Erestrictx, bx, CEED_VECTOR_ACTIVE);
82   CeedOperatorSetField(op_setup, "rho", Erestrictui, CEED_BASIS_COLLOCATED,
83                        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_BASIS_COLLOCATED,
88                        qdata);
89   CeedOperatorSetField(op_mass, "u", Erestrictu, bu, CEED_VECTOR_ACTIVE);
90   CeedOperatorSetField(op_mass, "v", Erestrictu, bu, CEED_VECTOR_ACTIVE);
91 
92   // Apply Setup Operator
93   CeedOperatorApply(op_setup, X, qdata, CEED_REQUEST_IMMEDIATE);
94 
95   // Assemble diagonal
96   CeedOperatorAssembleLinearDiagonal(op_mass, &A, CEED_REQUEST_IMMEDIATE);
97 
98   // Manually assemble diagonal
99   CeedVectorCreate(ceed, ndofs, &U);
100   CeedVectorSetValue(U, 0.0);
101   CeedVectorCreate(ceed, ndofs, &V);
102   for (int i=0; i<ndofs; i++) {
103     // Set input
104     CeedVectorGetArray(U, CEED_MEM_HOST, &u);
105     u[i] = 1.0;
106     if (i)
107       u[i-1] = 0.0;
108     CeedVectorRestoreArray(U, &u);
109 
110     // Compute diag entry for DoF i
111     CeedOperatorApply(op_mass, U, V, CEED_REQUEST_IMMEDIATE);
112 
113     // Retrieve entry
114     CeedVectorGetArrayRead(V, CEED_MEM_HOST, &v);
115     assembledTrue[i] = v[i];
116     CeedVectorRestoreArrayRead(V, &v);
117   }
118 
119   // Check output
120   CeedVectorGetArrayRead(A, CEED_MEM_HOST, &a);
121   for (int i=0; i<ndofs; i++)
122     if (fabs(a[i] - assembledTrue[i]) > 1e-14)
123       // LCOV_EXCL_START
124       printf("[%d] Error in assembly: %f != %f\n", i, a[i], assembledTrue[i]);
125   // LCOV_EXCL_STOP
126 
127   // Cleanup
128   CeedQFunctionDestroy(&qf_setup);
129   CeedQFunctionDestroy(&qf_mass);
130   CeedOperatorDestroy(&op_setup);
131   CeedOperatorDestroy(&op_mass);
132   CeedElemRestrictionDestroy(&Erestrictu);
133   CeedElemRestrictionDestroy(&Erestrictx);
134   CeedElemRestrictionDestroy(&Erestrictui);
135   CeedElemRestrictionDestroy(&Erestrictxi);
136   CeedBasisDestroy(&bu);
137   CeedBasisDestroy(&bx);
138   CeedVectorDestroy(&X);
139   CeedVectorDestroy(&A);
140   CeedVectorDestroy(&qdata);
141   CeedVectorDestroy(&U);
142   CeedVectorDestroy(&V);
143   CeedDestroy(&ceed);
144   return 0;
145 }
146