1*a8de75f0Sjeremylt /// @file 2*a8de75f0Sjeremylt /// Test integration with a 2D Simplex non-tensor H1 basis 3*a8de75f0Sjeremylt /// \test Test integration with a 2D Simplex non-tensor H1 basis 4*a8de75f0Sjeremylt #include <ceed.h> 5*a8de75f0Sjeremylt #include <math.h> 6*a8de75f0Sjeremylt #include "t310-basis.h" 7*a8de75f0Sjeremylt 8*a8de75f0Sjeremylt double feval(double x1, double x2) { 9*a8de75f0Sjeremylt return x1*x1 + x2*x2 + x1*x2 + 1; 10*a8de75f0Sjeremylt } 11*a8de75f0Sjeremylt 12*a8de75f0Sjeremylt int main(int argc, char **argv) { 13*a8de75f0Sjeremylt Ceed ceed; 14*a8de75f0Sjeremylt const CeedInt P = 6, Q = 4, dim = 2; 15*a8de75f0Sjeremylt CeedBasis b; 16*a8de75f0Sjeremylt CeedScalar qref[dim*Q], qweight[Q]; 17*a8de75f0Sjeremylt CeedScalar interp[P*Q], grad[dim*P*Q], weights[Q]; 18*a8de75f0Sjeremylt CeedScalar xr[] = {0., 0.5, 1., 0., 0.5, 0., 0., 0., 0., 0.5, 0.5, 1.}; 19*a8de75f0Sjeremylt CeedScalar in[P], out[Q], sum; 20*a8de75f0Sjeremylt 21*a8de75f0Sjeremylt buildmats(qref, qweight, interp, grad); 22*a8de75f0Sjeremylt 23*a8de75f0Sjeremylt CeedInit(argv[1], &ceed); 24*a8de75f0Sjeremylt CeedBasisCreateH1(ceed, CEED_TRIANGLE, 1, P, Q, interp, grad, qref, qweight, 25*a8de75f0Sjeremylt &b); 26*a8de75f0Sjeremylt 27*a8de75f0Sjeremylt // Interpolate function to quadrature points 28*a8de75f0Sjeremylt for (int i=0; i<P; i++) 29*a8de75f0Sjeremylt in[i] = feval(xr[0*P+i], xr[1*P+i]); 30*a8de75f0Sjeremylt CeedBasisApply(b, 1, CEED_NOTRANSPOSE, CEED_EVAL_INTERP, in, out); 31*a8de75f0Sjeremylt CeedBasisApply(b, 1, CEED_NOTRANSPOSE, CEED_EVAL_WEIGHT, NULL, weights); 32*a8de75f0Sjeremylt 33*a8de75f0Sjeremylt // Check values at quadrature points 34*a8de75f0Sjeremylt sum = 0; 35*a8de75f0Sjeremylt for (int i=0; i<Q; i++) 36*a8de75f0Sjeremylt sum += out[i]*weights[i]; 37*a8de75f0Sjeremylt if (fabs(sum - 17./24.) > 1e-10) 38*a8de75f0Sjeremylt printf("%f != %f\n", sum, 17./24.); 39*a8de75f0Sjeremylt 40*a8de75f0Sjeremylt CeedBasisDestroy(&b); 41*a8de75f0Sjeremylt CeedDestroy(&ceed); 42*a8de75f0Sjeremylt return 0; 43*a8de75f0Sjeremylt } 44