  A two-dimensional direction-length framework $(G,p)$ consists of a multigraph
$G=(V;D,L)$ whose edge set is formed of "direction" edges $D$ and "length"
edges $L$, and a realisation $p$ of this graph in the plane. The edges of the
framework represent geometric constraints: length edges fix the distance
between their endvertices, whereas direction edges specify the gradient of the
line through both endvertices. A direction-length framework $(G,p)$ is globally
rigid if every framework $(G,q)$ which satisfies the same direction and length
constraints as $(G,p)$ can be obtained by translating $(G,p)$ in the plane,
and/or rotating $(G,p)$ by $180^{\circ}$.
  In this paper, we characterise global rigidity for generic direction-length
frameworks whose associated rigidity matroid is connected, by showing that such
frameworks are globally rigid if and only if every 2-separation of the
underlying graph is direction-balanced.
