1 /// @file 2 /// Test integration with a 2D Simplex non-tensor H^1 basis 3 /// \test Test integration 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 // polynomial eval helper 11 static CeedScalar Eval(CeedScalar x1, CeedScalar x2) { return x1 * x1 + x2 * x2 + x1 * x2 + 1; } 12 13 // main test 14 int main(int argc, char **argv) { 15 Ceed ceed; 16 CeedVector u, v, w; 17 const CeedInt p = 6, q = 4, dim = 2; 18 CeedBasis basis; 19 CeedScalar q_ref[dim * q], q_weight[q]; 20 CeedScalar interp[p * q], grad[dim * p * q]; 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 CeedVectorCreate(ceed, q, &w); 36 CeedVectorSetValue(w, 0); 37 38 Build2DSimplex(q_ref, q_weight, interp, grad); 39 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, p, q, interp, grad, q_ref, q_weight, &basis); 40 41 CeedBasisApply(basis, 1, CEED_NOTRANSPOSE, CEED_EVAL_INTERP, u, v); 42 CeedBasisApply(basis, 1, CEED_NOTRANSPOSE, CEED_EVAL_WEIGHT, CEED_VECTOR_NONE, w); 43 44 // Check values at quadrature points 45 { 46 const CeedScalar *v_array, *w_array; 47 CeedScalar sum = 0; 48 49 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 50 CeedVectorGetArrayRead(w, CEED_MEM_HOST, &w_array); 51 for (int i = 0; i < q; i++) sum += v_array[i] * w_array[i]; 52 if (fabs(sum - 17. / 24.) > 100. * CEED_EPSILON) printf("%f != %f\n", sum, 17. / 24.); 53 CeedVectorRestoreArrayRead(v, &v_array); 54 CeedVectorRestoreArrayRead(w, &w_array); 55 } 56 57 CeedVectorDestroy(&u); 58 CeedVectorDestroy(&v); 59 CeedVectorDestroy(&w); 60 CeedBasisDestroy(&basis); 61 CeedDestroy(&ceed); 62 return 0; 63 } 64