1 /// @file 2 /// Test interpolation with a 2D Simplex non-tensor H1 basis 3 /// \test Test interpolaton with a 2D Simplex non-tensor H1 basis 4 #include <ceed.h> 5 #include <math.h> 6 7 #include "t320-basis.h" 8 9 // polynomial eval helper 10 static CeedScalar Eval(CeedScalar x1, CeedScalar x2) { return x1 * x1 + x2 * x2 + x1 * x2 + 1; } 11 12 // main test 13 int main(int argc, char **argv) { 14 Ceed ceed; 15 CeedVector u, v; 16 const CeedInt p = 6, q = 4, dim = 2; 17 CeedBasis basis; 18 CeedScalar q_ref[dim * q], q_weight[q]; 19 CeedScalar interp[p * q], grad[dim * p * q]; 20 CeedScalar x_q[] = {0.2, 0.6, 1. / 3., 0.2, 0.2, 0.2, 1. / 3., 0.6}; 21 CeedScalar x_ref[] = {0., 0.5, 1., 0., 0.5, 0., 0., 0., 0., 0.5, 0.5, 1.}; 22 23 CeedInit(argv[1], &ceed); 24 25 CeedVectorCreate(ceed, p, &u); 26 { 27 CeedScalar u_array[p]; 28 29 // Interpolate function to quadrature points 30 for (int i = 0; i < p; i++) u_array[i] = Eval(x_ref[0 * p + i], x_ref[1 * p + i]); 31 CeedVectorSetArray(u, CEED_MEM_HOST, CEED_COPY_VALUES, u_array); 32 } 33 CeedVectorCreate(ceed, q, &v); 34 CeedVectorSetValue(v, 0); 35 36 Build2DSimplex(q_ref, q_weight, interp, grad); 37 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, p, q, interp, grad, q_ref, q_weight, &basis); 38 39 CeedBasisApply(basis, 1, CEED_NOTRANSPOSE, CEED_EVAL_INTERP, u, v); 40 41 // Check values at quadrature points 42 { 43 const CeedScalar *v_array; 44 45 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 46 for (int i = 0; i < q; i++) { 47 CeedScalar fx = Eval(x_q[0 * q + i], x_q[1 * q + i]); 48 if (fabs(v_array[i] - fx) > 100. * CEED_EPSILON) printf("[%" CeedInt_FMT "] %f != %f\n", i, v_array[i], fx); 49 } 50 CeedVectorRestoreArrayRead(v, &v_array); 51 } 52 53 CeedVectorDestroy(&u); 54 CeedVectorDestroy(&v); 55 CeedBasisDestroy(&basis); 56 CeedDestroy(&ceed); 57 return 0; 58 } 59