1 /// @file 2 /// Test collocated grad in multiple dimensions 3 /// \test Test collocated grad in multiple dimensions 4 #include <ceed.h> 5 #include <math.h> 6 7 static CeedScalar Eval(CeedInt dim, const CeedScalar x[]) { 8 CeedScalar result = tanh(x[0] + 0.1); 9 if (dim > 1) result += atan(x[1] + 0.2); 10 if (dim > 2) result += exp(-(x[2] + 0.3)*(x[2] + 0.3)); 11 return result; 12 } 13 14 int main(int argc, char **argv) { 15 Ceed ceed; 16 17 CeedInit(argv[1], &ceed); 18 19 for (CeedInt dim=1; dim<=3; dim++) { 20 CeedVector X, Xq, U, Uq, Ones, Gtposeones; 21 CeedBasis bxl, bug; 22 CeedInt P = 8, Q = 8, Pdim = CeedIntPow(P, dim), Qdim = CeedIntPow(Q, dim), 23 Xdim = CeedIntPow(2, dim); 24 CeedScalar x[Xdim*dim], u[Pdim]; 25 const CeedScalar *xq, *uq, *gtposeones; 26 CeedScalar sum1 = 0, sum2 = 0; 27 28 for (CeedInt d=0; d<dim; d++) 29 for (CeedInt i=0; i<Xdim; i++) 30 x[d*Xdim + i] = (i % CeedIntPow(2, dim-d)) / 31 CeedIntPow(2, dim-d-1) ? 1 : -1; 32 33 CeedVectorCreate(ceed, Xdim*dim, &X); 34 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, x); 35 CeedVectorCreate(ceed, Pdim*dim, &Xq); 36 CeedVectorSetValue(Xq, 0); 37 CeedVectorCreate(ceed, Pdim, &U); 38 CeedVectorCreate(ceed, Qdim*dim, &Uq); 39 CeedVectorSetValue(Uq, 0); 40 CeedVectorCreate(ceed, Qdim*dim, &Ones); 41 CeedVectorSetValue(Ones, 1); 42 CeedVectorCreate(ceed, Pdim, &Gtposeones); 43 CeedVectorSetValue(Gtposeones, 0); 44 45 // Get function values at quadrature points 46 CeedBasisCreateTensorH1Lagrange(ceed, dim, dim, 2, P, 47 CEED_GAUSS_LOBATTO, &bxl); 48 CeedBasisApply(bxl, 1, CEED_NOTRANSPOSE, CEED_EVAL_INTERP, X, Xq); 49 50 CeedVectorGetArrayRead(Xq, CEED_MEM_HOST, &xq); 51 for (CeedInt i=0; i<Pdim; i++) { 52 CeedScalar xx[dim]; 53 for (CeedInt d=0; d<dim; d++) 54 xx[d] = xq[d*Pdim + i]; 55 u[i] = Eval(dim, xx); 56 } 57 CeedVectorRestoreArrayRead(Xq, &xq); 58 CeedVectorSetArray(U, CEED_MEM_HOST, CEED_USE_POINTER, u); 59 60 // Calculate G u at quadrature points, G' * 1 at dofs 61 CeedBasisCreateTensorH1Lagrange(ceed, dim, 1, P, Q, 62 CEED_GAUSS_LOBATTO, &bug); 63 CeedBasisApply(bug, 1, CEED_NOTRANSPOSE, CEED_EVAL_GRAD, U, Uq); 64 CeedBasisApply(bug, 1, CEED_TRANSPOSE, CEED_EVAL_GRAD, Ones, Gtposeones); 65 66 // Check if 1' * G * u = u' * (G' * 1) 67 CeedVectorGetArrayRead(Gtposeones, CEED_MEM_HOST, >poseones); 68 CeedVectorGetArrayRead(Uq, CEED_MEM_HOST, &uq); 69 for (CeedInt i=0; i<Pdim; i++) 70 sum1 += gtposeones[i]*u[i]; 71 for (CeedInt i=0; i<dim*Qdim; i++) 72 sum2 += uq[i]; 73 CeedVectorRestoreArrayRead(Gtposeones, >poseones); 74 CeedVectorRestoreArrayRead(Uq, &uq); 75 if (fabs(sum1 - sum2) > 1e-10) 76 // LCOV_EXCL_START 77 printf("[%d] %f != %f\n", dim, sum1, sum2); 78 // LCOV_EXCL_STOP 79 80 CeedVectorDestroy(&X); 81 CeedVectorDestroy(&Xq); 82 CeedVectorDestroy(&U); 83 CeedVectorDestroy(&Uq); 84 CeedVectorDestroy(&Ones); 85 CeedVectorDestroy(&Gtposeones); 86 CeedBasisDestroy(&bxl); 87 CeedBasisDestroy(&bug); 88 } 89 CeedDestroy(&ceed); 90 return 0; 91 } 92