xref: /libCEED/tests/t522-operator.c (revision 621cd4619de62aa879af10f6c433e7e1cbbb1a1b)
1 /// @file
2 /// Test creation, action, and destruction for diffusion matrix operator
3 /// \test Test creation, action, and destruction for diffusion matrix operator
4 #include <ceed.h>
5 #include <stdlib.h>
6 #include <math.h>
7 #include "t320-basis.h"
8 #include "t522-operator.h"
9 
10 /* The mesh comprises of two rows of 3 quadralaterals followed by one row
11      of 6 triangles:
12    _ _ _
13   |_|_|_|
14   |_|_|_|
15   |/|/|/|
16 
17 */
18 
19 int main(int argc, char **argv) {
20   Ceed ceed;
21   CeedInterlaceMode imode = CEED_NONINTERLACED;
22   CeedElemRestriction ErestrictxTet, ErestrictuTet,
23                       ErestrictqdiTet,
24                       ErestrictxHex, ErestrictuHex,
25                       ErestrictqdiHex;
26   CeedBasis bxTet, buTet,
27             bxHex, buHex;
28   CeedQFunction qf_setupTet, qf_diffTet,
29                 qf_setupHex, qf_diffHex;
30   CeedOperator op_setupTet, op_diffTet,
31                op_setupHex, op_diffHex,
32                op_setup, op_diff;
33   CeedVector qdataTet, qdataHex, X, U, V;
34   const CeedScalar *hv;
35   CeedInt nelemTet = 6, PTet = 6, QTet = 4,
36           nelemHex = 6, PHex = 3, QHex = 4, dim = 2;
37   CeedInt nx = 3, ny = 3,
38           nxTet = 3, nyTet = 1, nxHex = 3;
39   CeedInt row, col, offset;
40   CeedInt ndofs = (nx*2+1)*(ny*2+1),
41           nqptsTet = nelemTet*QTet,
42           nqptsHex = nelemHex*QHex*QHex;
43   CeedInt indxTet[nelemTet*PTet],
44           indxHex[nelemHex*PHex*PHex];
45   CeedScalar x[dim*ndofs];
46   CeedScalar qref[dim*QTet], qweight[QTet];
47   CeedScalar interp[PTet*QTet], grad[dim*PTet*QTet];
48 
49   CeedInit(argv[1], &ceed);
50 
51   // DoF Coordinates
52   for (CeedInt i=0; i<ny*2+1; i++)
53     for (CeedInt j=0; j<nx*2+1; j++) {
54       x[i+j*(ny*2+1)+0*ndofs] = (CeedScalar) i / (2*ny);
55       x[i+j*(ny*2+1)+1*ndofs] = (CeedScalar) j / (2*nx);
56     }
57   CeedVectorCreate(ceed, dim*ndofs, &X);
58   CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x);
59 
60   // Qdata Vectors
61   CeedVectorCreate(ceed, nqptsTet*dim*(dim+1)/2, &qdataTet);
62   CeedVectorCreate(ceed, nqptsHex*dim*(dim+1)/2, &qdataHex);
63 
64   // Tet Elements
65   for (CeedInt i=0; i<nelemTet/2; i++) {
66     col = i % nxTet;
67     row = i / nxTet;
68     offset = col*2 + row*(nxTet*2+1)*2;
69 
70     indxTet[i*2*PTet +  0] =  2 + offset;
71     indxTet[i*2*PTet +  1] =  9 + offset;
72     indxTet[i*2*PTet +  2] = 16 + offset;
73     indxTet[i*2*PTet +  3] =  1 + offset;
74     indxTet[i*2*PTet +  4] =  8 + offset;
75     indxTet[i*2*PTet +  5] =  0 + offset;
76 
77     indxTet[i*2*PTet +  6] = 14 + offset;
78     indxTet[i*2*PTet +  7] =  7 + offset;
79     indxTet[i*2*PTet +  8] =  0 + offset;
80     indxTet[i*2*PTet +  9] = 15 + offset;
81     indxTet[i*2*PTet + 10] =  8 + offset;
82     indxTet[i*2*PTet + 11] = 16 + offset;
83   }
84 
85   // -- Restrictions
86   CeedElemRestrictionCreate(ceed, imode, nelemTet, PTet, ndofs, dim,
87                             CEED_MEM_HOST, CEED_USE_POINTER, indxTet,
88                             &ErestrictxTet);
89 
90   CeedElemRestrictionCreate(ceed, imode, nelemTet, PTet, ndofs, 1,
91                             CEED_MEM_HOST, CEED_USE_POINTER, indxTet,
92                             &ErestrictuTet);
93   CeedInt stridesqdTet[3] = {1, QTet, QTet *dim *(dim+1)/2};
94   CeedElemRestrictionCreateStrided(ceed, nelemTet, QTet, nqptsTet,
95                                    dim*(dim+1)/2, stridesqdTet,
96                                    &ErestrictqdiTet);
97 
98   // -- Bases
99   buildmats(qref, qweight, interp, grad);
100   CeedBasisCreateH1(ceed, CEED_TRIANGLE, dim, PTet, QTet, interp, grad, qref,
101                     qweight, &bxTet);
102 
103   buildmats(qref, qweight, interp, grad);
104   CeedBasisCreateH1(ceed, CEED_TRIANGLE, 1, PTet, QTet, interp, grad, qref,
105                     qweight, &buTet);
106 
107   // -- QFunctions
108   CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setupTet);
109   CeedQFunctionAddInput(qf_setupTet, "_weight", 1, CEED_EVAL_WEIGHT);
110   CeedQFunctionAddInput(qf_setupTet, "dx", dim*dim, CEED_EVAL_GRAD);
111   CeedQFunctionAddOutput(qf_setupTet, "rho", dim*(dim+1)/2, CEED_EVAL_NONE);
112 
113   CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diffTet);
114   CeedQFunctionAddInput(qf_diffTet, "rho", dim*(dim+1)/2, CEED_EVAL_NONE);
115   CeedQFunctionAddInput(qf_diffTet, "u", dim, CEED_EVAL_GRAD);
116   CeedQFunctionAddOutput(qf_diffTet, "v", dim, CEED_EVAL_GRAD);
117 
118   // -- Operators
119   // ---- Setup Tet
120   CeedOperatorCreate(ceed, qf_setupTet, CEED_QFUNCTION_NONE,
121                      CEED_QFUNCTION_NONE, &op_setupTet);
122   CeedOperatorSetField(op_setupTet, "_weight", CEED_ELEMRESTRICTION_NONE, bxTet,
123                        CEED_VECTOR_NONE);
124   CeedOperatorSetField(op_setupTet, "dx", ErestrictxTet, bxTet,
125                        CEED_VECTOR_ACTIVE);
126   CeedOperatorSetField(op_setupTet, "rho", ErestrictqdiTet,
127                        CEED_BASIS_COLLOCATED, qdataTet);
128   // ---- diff Tet
129   CeedOperatorCreate(ceed, qf_diffTet, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
130                      &op_diffTet);
131   CeedOperatorSetField(op_diffTet, "rho", ErestrictqdiTet,
132                        CEED_BASIS_COLLOCATED, qdataTet);
133   CeedOperatorSetField(op_diffTet, "u", ErestrictuTet, buTet,
134                        CEED_VECTOR_ACTIVE);
135   CeedOperatorSetField(op_diffTet, "v", ErestrictuTet, buTet,
136                        CEED_VECTOR_ACTIVE);
137 
138   // Hex Elements
139   for (CeedInt i=0; i<nelemHex; i++) {
140     col = i % nxHex;
141     row = i / nxHex;
142     offset = (nxTet*2+1)*(nyTet*2)*(1+row) + col*2;
143     for (CeedInt j=0; j<PHex; j++)
144       for (CeedInt k=0; k<PHex; k++)
145         indxHex[PHex*(PHex*i+k)+j] = offset + k*(nxHex*2+1) + j;
146   }
147 
148   // -- Restrictions
149   CeedElemRestrictionCreate(ceed, imode, nelemHex, PHex*PHex, ndofs, dim,
150                             CEED_MEM_HOST, CEED_USE_POINTER, indxHex,
151                             &ErestrictxHex);
152 
153   CeedElemRestrictionCreate(ceed, imode, nelemHex, PHex*PHex, ndofs, 1,
154                             CEED_MEM_HOST, CEED_USE_POINTER, indxHex,
155                             &ErestrictuHex);
156   CeedInt stridesqdHex[3] = {1, QHex*QHex, QHex *QHex *dim *(dim+1)/2};
157   CeedElemRestrictionCreateStrided(ceed, nelemHex, QHex*QHex, nqptsHex,
158                                    dim*(dim+1)/2, stridesqdHex,
159                                    &ErestrictqdiHex);
160 
161   // -- Bases
162   CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, PHex, QHex, CEED_GAUSS,
163                                   &bxHex);
164   CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, PHex, QHex, CEED_GAUSS, &buHex);
165 
166   // -- QFunctions
167   CeedQFunctionCreateInterior(ceed, 1, setup, setup_loc, &qf_setupHex);
168   CeedQFunctionAddInput(qf_setupHex, "_weight", 1, CEED_EVAL_WEIGHT);
169   CeedQFunctionAddInput(qf_setupHex, "dx", dim*dim, CEED_EVAL_GRAD);
170   CeedQFunctionAddOutput(qf_setupHex, "rho", dim*(dim+1)/2, CEED_EVAL_NONE);
171 
172   CeedQFunctionCreateInterior(ceed, 1, diff, diff_loc, &qf_diffHex);
173   CeedQFunctionAddInput(qf_diffHex, "rho", dim*(dim+1)/2, CEED_EVAL_NONE);
174   CeedQFunctionAddInput(qf_diffHex, "u", dim, CEED_EVAL_GRAD);
175   CeedQFunctionAddOutput(qf_diffHex, "v", dim, CEED_EVAL_GRAD);
176 
177   // -- Operators
178   CeedOperatorCreate(ceed, qf_setupHex, CEED_QFUNCTION_NONE,
179                      CEED_QFUNCTION_NONE, &op_setupHex);
180   CeedOperatorSetField(op_setupHex, "_weight", CEED_ELEMRESTRICTION_NONE, bxHex,
181                        CEED_VECTOR_NONE);
182   CeedOperatorSetField(op_setupHex, "dx", ErestrictxHex, bxHex,
183                        CEED_VECTOR_ACTIVE);
184   CeedOperatorSetField(op_setupHex, "rho", ErestrictqdiHex,
185                        CEED_BASIS_COLLOCATED, qdataHex);
186 
187   CeedOperatorCreate(ceed, qf_diffHex, CEED_QFUNCTION_NONE, CEED_QFUNCTION_NONE,
188                      &op_diffHex);
189   CeedOperatorSetField(op_diffHex, "rho", ErestrictqdiHex,
190                        CEED_BASIS_COLLOCATED, qdataHex);
191   CeedOperatorSetField(op_diffHex, "u", ErestrictuHex, buHex,
192                        CEED_VECTOR_ACTIVE);
193   CeedOperatorSetField(op_diffHex, "v", ErestrictuHex, buHex,
194                        CEED_VECTOR_ACTIVE);
195 
196   // Composite Operators
197   CeedCompositeOperatorCreate(ceed, &op_setup);
198   CeedCompositeOperatorAddSub(op_setup, op_setupTet);
199   CeedCompositeOperatorAddSub(op_setup, op_setupHex);
200 
201   CeedCompositeOperatorCreate(ceed, &op_diff);
202   CeedCompositeOperatorAddSub(op_diff, op_diffTet);
203   CeedCompositeOperatorAddSub(op_diff, op_diffHex);
204 
205   // Apply Setup Operator
206   CeedOperatorApply(op_setup, X, CEED_VECTOR_NONE, CEED_REQUEST_IMMEDIATE);
207 
208   // Apply diff Operator
209   CeedVectorCreate(ceed, ndofs, &U);
210   CeedVectorSetValue(U, 1.0);
211   CeedVectorCreate(ceed, ndofs, &V);
212 
213   CeedOperatorApply(op_diff, U, V, CEED_REQUEST_IMMEDIATE);
214 
215   // Check output
216   CeedVectorGetArrayRead(V, CEED_MEM_HOST, &hv);
217   for (CeedInt i=0; i<ndofs; i++)
218     if (fabs(hv[i])>1e-14) printf("Computed: %f != True: 0.0\n", hv[i]);
219   CeedVectorRestoreArrayRead(V, &hv);
220 
221   // Cleanup
222   CeedQFunctionDestroy(&qf_setupTet);
223   CeedQFunctionDestroy(&qf_diffTet);
224   CeedOperatorDestroy(&op_setupTet);
225   CeedOperatorDestroy(&op_diffTet);
226   CeedQFunctionDestroy(&qf_setupHex);
227   CeedQFunctionDestroy(&qf_diffHex);
228   CeedOperatorDestroy(&op_setupHex);
229   CeedOperatorDestroy(&op_diffHex);
230   CeedOperatorDestroy(&op_setup);
231   CeedOperatorDestroy(&op_diff);
232   CeedElemRestrictionDestroy(&ErestrictuTet);
233   CeedElemRestrictionDestroy(&ErestrictxTet);
234   CeedElemRestrictionDestroy(&ErestrictqdiTet);
235   CeedElemRestrictionDestroy(&ErestrictuHex);
236   CeedElemRestrictionDestroy(&ErestrictxHex);
237   CeedElemRestrictionDestroy(&ErestrictqdiHex);
238   CeedBasisDestroy(&buTet);
239   CeedBasisDestroy(&bxTet);
240   CeedBasisDestroy(&buHex);
241   CeedBasisDestroy(&bxHex);
242   CeedVectorDestroy(&X);
243   CeedVectorDestroy(&U);
244   CeedVectorDestroy(&V);
245   CeedVectorDestroy(&qdataTet);
246   CeedVectorDestroy(&qdataHex);
247   CeedDestroy(&ceed);
248   return 0;
249 }
250