xref: /libCEED/tests/t325-basis.c (revision 2c2ea1dbee80fceecd2c97f30b09f8c87820a53e)
1 /// @file
2 /// Test grad transpose with a 2D Simplex non-tensor H^1 basis
3 /// \test Test grad transpose with a 2D Simplex non-tensor H^1 basis
4 #include <ceed.h>
5 #include <math.h>
6 #include <stdio.h>
7 
8 #include "t320-basis.h"
9 
10 int main(int argc, char **argv) {
11   Ceed          ceed;
12   CeedVector    u, v;
13   const CeedInt p = 6, q = 4, dim = 2, num_comp = 3;
14   CeedBasis     basis;
15   CeedScalar    q_ref[dim * q], q_weight[q];
16   CeedScalar    interp[p * q], grad[dim * p * q];
17   CeedScalar    column_sum[p];
18 
19   CeedInit(argv[1], &ceed);
20 
21   Build2DSimplex(q_ref, q_weight, interp, grad);
22   CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, num_comp, p, q, interp, grad, q_ref, q_weight, &basis);
23 
24   CeedVectorCreate(ceed, q * dim * num_comp, &u);
25   {
26     CeedScalar *u_array;
27 
28     CeedVectorGetArrayWrite(u, CEED_MEM_HOST, &u_array);
29     for (int d = 0; d < dim; d++) {
30       for (int i = 0; i < num_comp; i++) {
31         for (int j = 0; j < q; j++) u_array[j + (i + d * num_comp) * q] = i * 1.0;
32       }
33     }
34     CeedVectorRestoreArray(u, &u_array);
35   }
36   CeedVectorCreate(ceed, p * num_comp, &v);
37   CeedVectorSetValue(v, 0);
38 
39   CeedBasisApply(basis, 1, CEED_TRANSPOSE, CEED_EVAL_GRAD, u, v);
40 
41   // Check values at quadrature points
42   for (int i = 0; i < p; i++) {
43     column_sum[i] = 0;
44     for (int j = 0; j < q * dim; j++) {
45       column_sum[i] += grad[i + j * p];
46     }
47   }
48   {
49     const CeedScalar *v_array;
50 
51     CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
52     for (int i = 0; i < p; i++) {
53       for (int j = 0; j < num_comp; j++) {
54         if (fabs(j * column_sum[i] - v_array[i + j * p]) > 100. * CEED_EPSILON) {
55           // LCOV_EXCL_START
56           printf("[%" CeedInt_FMT "] %f != %f\n", i, v_array[i + j * p], j * column_sum[i]);
57           // LCOV_EXCL_STOP
58         }
59       }
60     }
61     CeedVectorRestoreArrayRead(v, &v_array);
62   }
63 
64   CeedVectorDestroy(&u);
65   CeedVectorDestroy(&v);
66   CeedBasisDestroy(&basis);
67   CeedDestroy(&ceed);
68   return 0;
69 }
70