void inshuffle(It it, std::size_t n) { if (n==0) return; for (std::size_t i = 0; 2*i < n; ++i) { std::size_t k = 2*i + 1; while (2*k <= n) k *= 2; typename std::iterator_traits<It>::value_type tmp = it[n+i]; it[n+i] = it[k-1]; while (k % 2 == 0) { it[k-1] = it[(k/2)-1]; k /= 2; } it[k-1] = tmp; } std::size_t kmin = 1; while (2*kmin <= n) kmin *= 2; for (std::size_t i = 0; 4*i+1 < n; ++i) { std::size_t k = 2*i + 1; while (2*k <= n) k *= 2; std::size_t k1 = 2*(i+1) + 1; while (2*k1 <= n) k1 *= 2; if (k > k1) { if (k1 < kmin) { kmin = k1; inshuffle(it+n, i+1); } else inshuffle(it+n+1, i); } } return inshuffle(it+n+(n%2), n/2); }
void inshuffle(It it, std::size_t n) { while (n > 0) { std::size_t kmin = 1; while (kmin <= n) kmin *= 2; { std::size_t kk = kmin/2; It itn = it + n; for (std::size_t i = 0, s = (n+1)/2; i < s; ++i) { std::size_t k = (2*i+1)*kk; while (k > n) { k /= 2; kk /= 2; } // apply the cyclic permutation typename std::iterator_traits<It>::value_type tmp = itn[i]; itn[i] = it[k-1]; while (k % 2 == 0) { it[k-1] = it[(k/2)-1]; k /= 2; } it[k-1] = tmp; } } // the optimized computation of k fails for n=2, // so skip the 'normalization' loop when possible if (n > 3) { std::size_t kk = kmin/4; for (std::size_t i = 1; 4*i < n+3; ++i) { std::size_t k = (2*i+1)*kk; if (k > n) { kk /= 2; if (k < kmin) { kmin = k; // if kmin is updated, do an in-shuffle inshuffle(it+n, i); } else // otherwise do an out-shuffle inshuffle(it+n+1, i-1); } } } // implement the tail recursion as an iteration it += n+(n%2); n /= 2; } }
typename boost::enable_if< is_complex< typename bindings::value_type< VectorW >::type >, void >::type interlace (VectorW& w) { typedef typename bindings::value_type< VectorW >::type value_type; typedef typename bindings::remove_imaginary< value_type >::type real_type; value_type* pw = bindings::begin_value(w); std::ptrdiff_t n = bindings::end_value(w) - pw; if (n < 2) return; inshuffle(reinterpret_cast<real_type*> (pw)+1, n-1); }
int main(){ int n; int i; int *A; printf("Enter the value of n, (total size of array = 2n): "); scanf("%d",&n); A = (int *)malloc((2*n+1)*sizeof(int)); for (i = 0; i <= 2*n; i++){ A[i] = i; } inshuffle(A,2*n); printf("\n["); for (i = 1; i <= 2*n; i ++){ printf(" %d",A[i]); } printf(" ]\n"); free(A); return 1; }