1 /// @file
2 /// Test polynomial interpolation to arbitrary points in multiple dimensions
3 /// \test Test polynomial interpolation to arbitrary points in multiple dimensions
4 #include <ceed.h>
5 #include <math.h>
6 #include <stdio.h>
7
Eval(CeedInt dim,const CeedScalar x[])8 static CeedScalar Eval(CeedInt dim, const CeedScalar x[]) {
9 CeedScalar result = 1, center = 0.1;
10 for (CeedInt d = 0; d < dim; d++) {
11 result *= tanh(x[d] - center);
12 center += 0.1;
13 }
14 return result;
15 }
16
main(int argc,char ** argv)17 int main(int argc, char **argv) {
18 Ceed ceed;
19
20 CeedInit(argv[1], &ceed);
21
22 for (CeedInt dim = 1; dim <= 3; dim++) {
23 CeedVector x, x_nodes, x_points, u, v;
24 CeedBasis basis_x, basis_u;
25 const CeedInt p = 9, q = 10, num_points = 4, x_dim = CeedIntPow(2, dim), p_dim = CeedIntPow(p, dim);
26
27 CeedVectorCreate(ceed, x_dim * dim, &x);
28 CeedVectorCreate(ceed, p_dim * dim, &x_nodes);
29 CeedVectorCreate(ceed, num_points * dim, &x_points);
30 CeedVectorCreate(ceed, p_dim, &u);
31 CeedVectorCreate(ceed, num_points, &v);
32
33 // Get nodal coordinates
34 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, 2, p, CEED_GAUSS_LOBATTO, &basis_x);
35 {
36 CeedScalar x_array[x_dim * dim];
37
38 for (CeedInt d = 0; d < dim; d++) {
39 for (CeedInt i = 0; i < x_dim; i++) x_array[d * x_dim + i] = (i % CeedIntPow(2, d + 1)) / CeedIntPow(2, d) ? 1 : -1;
40 }
41 CeedVectorSetArray(x, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
42 }
43 CeedBasisApply(basis_x, 1, CEED_NOTRANSPOSE, CEED_EVAL_INTERP, x, x_nodes);
44
45 // Set values of u at nodes
46 {
47 const CeedScalar *x_array;
48 CeedScalar u_array[p_dim];
49
50 CeedVectorGetArrayRead(x_nodes, CEED_MEM_HOST, &x_array);
51 for (CeedInt i = 0; i < p_dim; i++) {
52 CeedScalar coord[dim];
53
54 for (CeedInt d = 0; d < dim; d++) coord[d] = x_array[d * p_dim + i];
55 u_array[i] = Eval(dim, coord);
56 }
57 CeedVectorRestoreArrayRead(x_nodes, &x_array);
58 CeedVectorSetArray(u, CEED_MEM_HOST, CEED_COPY_VALUES, (CeedScalar *)&u_array);
59 }
60
61 // Interpolate to arbitrary points
62 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, p, q, CEED_GAUSS, &basis_u);
63 {
64 CeedScalar x_array[12] = {-0.33, -0.65, 0.16, 0.99, -0.65, 0.16, 0.99, -0.33, 0.16, 0.99, -0.33, -0.65};
65
66 CeedVectorSetArray(x_points, CEED_MEM_HOST, CEED_COPY_VALUES, x_array);
67 }
68 CeedBasisApplyAtPoints(basis_u, 1, &num_points, CEED_NOTRANSPOSE, CEED_EVAL_INTERP, x_points, u, v);
69
70 {
71 const CeedScalar *x_array, *v_array;
72
73 CeedVectorGetArrayRead(x_points, CEED_MEM_HOST, &x_array);
74 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array);
75 for (CeedInt i = 0; i < num_points; i++) {
76 CeedScalar coord[dim];
77
78 for (CeedInt d = 0; d < dim; d++) coord[d] = x_array[d * num_points + i];
79 const CeedScalar fx = Eval(dim, coord);
80 if (fabs(v_array[i] - fx) > 1E-4) {
81 // LCOV_EXCL_START
82 printf("[%" CeedInt_FMT "] %f != %f = f(%f", dim, v_array[i], fx, coord[0]);
83 for (CeedInt d = 1; d < dim; d++) printf(", %f", coord[d]);
84 printf(")\n");
85 // LCOV_EXCL_STOP
86 }
87 }
88 CeedVectorRestoreArrayRead(x_points, &x_array);
89 CeedVectorRestoreArrayRead(v, &v_array);
90 }
91
92 CeedVectorDestroy(&x);
93 CeedVectorDestroy(&x_nodes);
94 CeedVectorDestroy(&x_points);
95 CeedVectorDestroy(&u);
96 CeedVectorDestroy(&v);
97 CeedBasisDestroy(&basis_x);
98 CeedBasisDestroy(&basis_u);
99 }
100
101 CeedDestroy(&ceed);
102 return 0;
103 }
104