\begin{ccRefFunction}{orientation}
\ccInclude{CGAL/predicates_d.h}
\ccHtmlNoLinks

\ccFunction{template <class ForwardIterator> Orientation
  orientation(ForwardIterator first, ForwardIterator last);}{
  determines the orientation of the points of the tuple \ccc{A =
    tuple [first,last)} where $A$ consists of $d+1$ points in
  $d$-space. This is the sign of the determinant
  \[ \left| \begin{array}{cccc}
  1 & 1 & 1 & 1 \\
  A[0] & A[1] & \dots & A[d]
  \end{array}  \right|  \]
  where \ccc{A[i]} denotes the \ccHtmlNoLinksFrom{Cartesian} coordinate vector of 
  the $i$-th point in $A$.
  \ccPrecond \ccc{size [first,last) == d+1} and 
  \ccc{A[i].dimension() == d} $\forall 0 \leq i \leq d$.
  \ccRequire The value type of \ccc{ForwardIterator} is \ccc{Point_d<R>}.
}

\end{ccRefFunction}