1 /// @file 2 /// Test grad with a 2D Simplex non-tensor H^1 basis 3 /// \test Test grad 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 // polynomial derivative helper 14 CeedScalar EvalGrad(CeedScalar x1, CeedScalar x2) { return 2 * x1 + x2; } 15 16 // main test 17 int main(int argc, char **argv) { 18 Ceed ceed; 19 CeedVector u, v; 20 const CeedInt p = 6, q = 4, dim = 2; 21 CeedBasis basis; 22 CeedScalar q_ref[dim * q], q_weight[q]; 23 CeedScalar interp[p * q], grad[dim * p * q]; 24 CeedScalar x_q[] = {0.2, 0.6, 1. / 3., 0.2, 0.2, 0.2, 1. / 3., 0.6}; 25 CeedScalar x_ref[] = {0., 0.5, 1., 0., 0.5, 0., 0., 0., 0., 0.5, 0.5, 1.}; 26 27 CeedInit(argv[1], &ceed); 28 29 CeedVectorCreate(ceed, p, &u); 30 { 31 CeedScalar u_array[p]; 32 33 // Interpolate function to quadrature points 34 for (int i = 0; i < p; i++) u_array[i] = Eval(x_ref[0 * p + i], x_ref[1 * p + i]); 35 CeedVectorSetArray(u, CEED_MEM_HOST, CEED_COPY_VALUES, u_array); 36 } 37 CeedVectorCreate(ceed, q * dim, &v); 38 CeedVectorSetValue(v, 0); 39 40 Build2DSimplex(q_ref, q_weight, interp, grad); 41 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, p, q, interp, grad, q_ref, q_weight, &basis); 42 43 CeedBasisApply(basis, 1, CEED_NOTRANSPOSE, CEED_EVAL_GRAD, u, v); 44 45 // Check values at quadrature points 46 { 47 const CeedScalar *v_array; 48 49 CeedVectorGetArrayRead(v, CEED_MEM_HOST, &v_array); 50 for (int i = 0; i < q; i++) { 51 CeedScalar dfx = EvalGrad(x_q[0 * q + i], x_q[1 * q + i]); 52 if (fabs(v_array[0 * q + i] - dfx) > 100. * CEED_EPSILON) printf("[%" CeedInt_FMT "] %f != %f\n", i, v_array[0 * q + i], dfx); 53 dfx = EvalGrad(x_q[1 * q + i], x_q[0 * q + i]); 54 if (fabs(v_array[1 * q + i] - dfx) > 100. * CEED_EPSILON) printf("[%" CeedInt_FMT "] %f != %f\n", i, v_array[1 * q + i], dfx); 55 } 56 CeedVectorRestoreArrayRead(v, &v_array); 57 } 58 59 CeedVectorDestroy(&u); 60 CeedVectorDestroy(&v); 61 CeedBasisDestroy(&basis); 62 CeedDestroy(&ceed); 63 return 0; 64 } 65