1 /// @file 2 /// Test integration with a 2D Simplex non-tensor H1 basis 3 /// \test Test integration 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 feval(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 In, Out, Weights; 16 const CeedInt P = 6, Q = 4, dim = 2; 17 CeedBasis b; 18 CeedScalar q_ref[dim * Q], q_weight[Q]; 19 CeedScalar interp[P * Q], grad[dim * P * Q]; 20 CeedScalar xr[] = {0., 0.5, 1., 0., 0.5, 0., 0., 0., 0., 0.5, 0.5, 1.}; 21 const CeedScalar *out, *weights; 22 CeedScalar in[P], sum; 23 24 buildmats(q_ref, q_weight, interp, grad); 25 26 CeedInit(argv[1], &ceed); 27 28 CeedBasisCreateH1(ceed, CEED_TOPOLOGY_TRIANGLE, 1, P, Q, interp, grad, q_ref, q_weight, &b); 29 30 // Interpolate function to quadrature points 31 for (int i = 0; i < P; i++) in[i] = feval(xr[0 * P + i], xr[1 * P + i]); 32 33 CeedVectorCreate(ceed, P, &In); 34 CeedVectorSetArray(In, CEED_MEM_HOST, CEED_USE_POINTER, in); 35 CeedVectorCreate(ceed, Q, &Out); 36 CeedVectorSetValue(Out, 0); 37 CeedVectorCreate(ceed, Q, &Weights); 38 CeedVectorSetValue(Weights, 0); 39 40 CeedBasisApply(b, 1, CEED_NOTRANSPOSE, CEED_EVAL_INTERP, In, Out); 41 CeedBasisApply(b, 1, CEED_NOTRANSPOSE, CEED_EVAL_WEIGHT, CEED_VECTOR_NONE, Weights); 42 43 // Check values at quadrature points 44 CeedVectorGetArrayRead(Out, CEED_MEM_HOST, &out); 45 CeedVectorGetArrayRead(Weights, CEED_MEM_HOST, &weights); 46 sum = 0; 47 for (int i = 0; i < Q; i++) sum += out[i] * weights[i]; 48 if (fabs(sum - 17. / 24.) > 100. * CEED_EPSILON) printf("%f != %f\n", sum, 17. / 24.); 49 CeedVectorRestoreArrayRead(Out, &out); 50 CeedVectorRestoreArrayRead(Weights, &weights); 51 52 CeedVectorDestroy(&In); 53 CeedVectorDestroy(&Out); 54 CeedVectorDestroy(&Weights); 55 CeedBasisDestroy(&b); 56 CeedDestroy(&ceed); 57 return 0; 58 } 59