1 /// @file 2 /// Test polynomial derivative interpolation in 1D 3 /// \test Test polynomial derivative interpolation in 1D 4 #include <ceed.h> 5 #include <math.h> 6 7 #define ALEN(a) (sizeof(a) / sizeof((a)[0])) 8 9 static CeedScalar PolyEval(CeedScalar x, CeedInt n, const CeedScalar *p) { 10 CeedScalar y = p[n-1]; 11 for (CeedInt i=n-2; i>=0; i--) y = y*x + p[i]; 12 return y; 13 } 14 15 int main(int argc, char **argv) { 16 Ceed ceed; 17 CeedVector X, Xq, U, Uq; 18 CeedBasis bxl, bul, bxg, bug; 19 CeedInt Q = 6; 20 const CeedScalar p[6] = {1, 2, 3, 4, 5, 6}; // 1 + 2x + 3x^2 + ... 21 const CeedScalar dp[5] = {2, 6, 12, 20, 30}; // 2 + 6x + 12x^2 + ... 22 const CeedScalar *xq, *uuq; 23 CeedScalar x[2], uq[Q]; 24 25 CeedInit(argv[1], &ceed); 26 27 CeedVectorCreate(ceed, 2, &X); 28 CeedVectorCreate(ceed, Q, &Xq); 29 CeedVectorSetValue(Xq, 0); 30 CeedVectorCreate(ceed, Q, &U); 31 CeedVectorSetValue(U, 0); 32 CeedVectorCreate(ceed, Q, &Uq); 33 34 CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, 2, Q, CEED_GAUSS_LOBATTO, &bxl); 35 CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, Q, Q, CEED_GAUSS_LOBATTO, &bul); 36 37 for (int i = 0; i < 2; i++) 38 x[i] = CeedIntPow(-1, i+1); 39 CeedVectorSetArray(X, CEED_MEM_HOST, CEED_USE_POINTER, (CeedScalar *)&x); 40 41 CeedBasisApply(bxl, 1, CEED_NOTRANSPOSE, CEED_EVAL_INTERP, X, Xq); 42 43 CeedVectorGetArrayRead(Xq, CEED_MEM_HOST, &xq); 44 for (CeedInt i=0; i<Q; i++) 45 uq[i] = PolyEval(xq[i], ALEN(p), p); 46 CeedVectorRestoreArrayRead(Xq, &xq); 47 CeedVectorSetArray(Uq, CEED_MEM_HOST, CEED_USE_POINTER, (CeedScalar *)&uq); 48 49 // This operation is the identity because the quadrature is collocated 50 CeedBasisApply(bul, 1, CEED_TRANSPOSE, CEED_EVAL_INTERP, Uq, U); 51 52 CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, 2, Q, CEED_GAUSS, &bxg); 53 CeedBasisCreateTensorH1Lagrange(ceed, 1, 1, Q, Q, CEED_GAUSS, &bug); 54 55 CeedBasisApply(bxg, 1, CEED_NOTRANSPOSE, CEED_EVAL_INTERP, X, Xq); 56 CeedBasisApply(bug, 1, CEED_NOTRANSPOSE, CEED_EVAL_GRAD, U, Uq); 57 58 CeedVectorGetArrayRead(Xq, CEED_MEM_HOST, &xq); 59 CeedVectorGetArrayRead(Uq, CEED_MEM_HOST, &uuq); 60 for (CeedInt i=0; i<Q; i++) { 61 CeedScalar px = PolyEval(xq[i], ALEN(dp), dp); 62 if (fabs(uuq[i] - px) > 1E-13) 63 // LCOV_EXCL_START 64 printf("%f != %f=p(%f)\n", uuq[i], px, xq[i]); 65 // LCOV_EXCL_STOP 66 } 67 CeedVectorRestoreArrayRead(Xq, &xq); 68 CeedVectorRestoreArrayRead(Uq, &uuq); 69 70 CeedVectorDestroy(&X); 71 CeedVectorDestroy(&Xq); 72 CeedVectorDestroy(&U); 73 CeedVectorDestroy(&Uq); 74 CeedBasisDestroy(&bxl); 75 CeedBasisDestroy(&bul); 76 CeedBasisDestroy(&bxg); 77 CeedBasisDestroy(&bug); 78 CeedDestroy(&ceed); 79 return 0; 80 } 81