xref: /libCEED/tests/t332-basis.c (revision 5fb68f377259d3910de46d787b7c5d1587fd01e1)
1 /// @file
2 /// Test GetDiv and BasisApply for a 2D Quad non-tensor H(div) basis
3 /// \test Test GetDiv and BasisApply for a 2D Quad non-tensor H(div) basis
4 #include <ceed.h>
5 #include <math.h>
6 
7 #include "t330-basis.h"
8 
9 int main(int argc, char **argv) {
10   Ceed          ceed;
11   const CeedInt num_nodes = 4, q = 3, dim = 2, num_qpts = q * q;
12   CeedInt       num_comp = 1;                // one vector component
13   CeedInt       p        = dim * num_nodes;  // DoF per element
14   CeedBasis     basis;
15   CeedScalar    q_ref[dim * num_qpts], q_weights[num_qpts];
16   CeedScalar    div[p * num_qpts], interp[p * dim * num_qpts];
17   CeedVector    u, v;
18 
19   CeedInit(argv[1], &ceed);
20 
21   BuildHdivQuadrilateral(q, q_ref, q_weights, interp, div, CEED_GAUSS);
22   CeedBasisCreateHdiv(ceed, CEED_TOPOLOGY_QUAD, num_comp, p, num_qpts, interp, div, q_ref, q_weights, &basis);
23 
24   // Test GetDiv
25   {
26     const CeedScalar *div_2;
27 
28     CeedBasisGetDiv(basis, &div_2);
29     for (CeedInt i = 0; i < p * num_qpts; i++) {
30       if (fabs(div[i] - div_2[i]) > 100. * CEED_EPSILON) printf("%f != %f\n", div[i], div_2[i]);
31     }
32   }
33 
34   CeedVectorCreate(ceed, p, &u);
35   CeedVectorSetValue(u, 1);
36   CeedVectorCreate(ceed, num_qpts, &v);
37   CeedVectorSetValue(v, 0);
38 
39   // BasisApply for H(div): CEED_EVAL_DIV, NOTRANSPOSE case
40   CeedBasisApply(basis, 1, CEED_NOTRANSPOSE, CEED_EVAL_DIV, u, v);
41 
42   {
43     const CeedScalar *v_array;
44 
45     CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
46     for (CeedInt i = 0; i < num_qpts; i++) {
47       if (fabs(p * 0.25 - v_array[i]) > 100. * CEED_EPSILON) printf("%f != %f\n", 2.0, v_array[i]);
48     }
49     CeedVectorRestoreArrayRead(v, &v_array);
50   }
51 
52   CeedVectorSetValue(v, 1.0);
53   CeedVectorSetValue(u, 0.0);
54 
55   // BasisApply for H(div): CEED_EVAL_DIV, TRANSPOSE case
56   CeedBasisApply(basis, 1, CEED_TRANSPOSE, CEED_EVAL_DIV, v, u);
57 
58   {
59     const CeedScalar *u_array;
60 
61     CeedVectorGetArrayRead(u, CEED_MEM_HOST, &u_array);
62     for (CeedInt i = 0; i < p; i++) {
63       if (fabs(num_qpts * 0.25 - u_array[i]) > 100. * CEED_EPSILON) printf("%f != %f\n", 2.0, u_array[i]);
64     }
65     CeedVectorRestoreArrayRead(u, &u_array);
66   }
67 
68   CeedBasisDestroy(&basis);
69   CeedVectorDestroy(&u);
70   CeedVectorDestroy(&v);
71   CeedDestroy(&ceed);
72   return 0;
73 }
74