  A typical large complex-structure limit for mirror symmetry consists of toric
varieties glued to each other along their toric boundaries. Here we construct
the mirror large volume limit space as a Weinstein symplectic manifold. We
prove homological mirror symmetry: the category of coherent sheaves on the
first space is equivalent to the Fukaya category of the second.
  Our equivalence intertwines the Viterbo restriction maps for a generalized
pair-of-pants cover of the symplectic manifold with the restriction of coherent
sheaves for a certain affine cover of the algebraic variety. We deduce a
posteriori a local-to-global principle conjectured by Seidel -- certain
diagrams of Viterbo restrictions are cartesian -- by passing Zariski descent
through our mirror symmetry result.
