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Polygons
Polygon drawing is tricky and we don't have a good solution. The points which
correspond to each polygon are not presented in the type2 record in order; you cannot
necessarily draw them clockwise (for example) and expect the correct shape to come
out. More problematically, they allow concave shapes, so standard "lasso" techniques to
resolve the polygons do not necessarily work. Do something reasonable here, but it is
okay if polygons are rendered poorly. Tile Set Divider Algorithms
The Mapper and Reducer for tile rendering rely on a TileSetDivider to inform them which
tile IDs are grouped together in which reducers.
We have provided you with a SimpleDivider class which implements the TileSetDivider
interface. This will divide the mappable range into a set of tile extents, assign them tile
IDs, and assign the tile IDs to as many tile sets as there are reducers. The tile sets are
created in a very naive way.
Imagine a line segment (e.g., road) that spans two adjacent tiles. This road feature data
must be sent to the reducers for the tile sets for both tiles. Consider SR520 in the above diagram. Assuming a slightly simplified version where this
is a single straight line segment, it can extend to 2 or more tiles. The Mapper that reads
in the record for SR520 must emit it to each Reducer for the tilesets corresponding to
Tile 1 and Tile 2 (and possibly others, if the length of this line segment is very long).
Your TileSetDivider can tell you the tile IDs (and thus the tile sets) for the endpoints of
the line segment; from there you can determine all tile IDs and thus all tile sets that
need a copy of the record. Don't forget, if a long line segment is oriented "diagonally," it
may need to be emitted to a rectangle of tile IDs.
The SimpleDivider is very inefficient  tile sets do a poor job of taking into account the
locality of tiles to one another. We would like you to implement a better divider, which
you should call the HilbertDivider. The HilbertDivider will draw Hilbert curves over the
2D array of tile IDs. A Hilbert curve is a spacefilling curve: It will...
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 Fall '08
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