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< Head >
< Title > Boost Graph Library: is_straight_line_drawing< / Title >
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< H1 > < tt > is_straight_line_drawing< / tt > < / H1 >
< p >
< pre >
template < typename Graph, typename GridPositionMap, typename VertexIndexMap>
bool is_straight_line_drawing(const Graph& g, GridPositionMap drawing, VertexIndexMap vm);
< / pre >
< p >
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If < tt > drawing< / tt > is a property map modeling the PositionMap
concept, < tt > is_straight_line_drawing< / tt > returns true exactly when no two of
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the line segments induced by edges in the graph under < tt > drawing< / tt >
intersect. This function works correctly in the presence of self-loops and
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parallel edges, and can be used to verify the output of the function
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< tt >
< a href = "straight_line_drawing.html" > chrobak_payne_straight_line_embedding.< / a >
< / tt >
< p >
< h3 > Complexity< / h3 >
Runs in time < i > O(n log n)< / i > on a planar graph with < i > n< / i > vertices.
< H3 > Where Defined< / H3 >
< P >
< a href = "../../../boost/graph/is_straight_line_drawing.hpp" > < TT > boost/graph/is_straight_line_drawing.hpp< / TT > < / a >
< h3 > Parameters< / h3 >
IN: < tt > Graph& g< / tt >
< blockquote >
An undirected graph. The graph type must be a model of < a
href="EdgeListGraph.html">Edge List Graph< / a >
< / blockquote >
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IN: < tt > PositionMap< / tt >
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< blockquote >
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A < a href = "../../property_map/doc/LvaluePropertyMap.html" > Readable LValue Property
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Map< / a > that models the Position Map concept. The Position Map concept requires
that the value mapped to be an object that has members < tt > x< / tt > and
< tt > y< / tt > . For example, if < tt > p< / tt > models PositionMap and < tt > v< / tt >
is a vertex in the graph, < tt > p[v].x< / tt > and < tt > p[v].y< / tt > are valid
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expressions. The type of < tt > x< / tt > and < tt > y< / tt > must be implicitly
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convertable to < tt > std::size_t< / tt > .
< / blockquote >
IN: < tt > VertexIndexMap vm< / tt >
< blockquote >
A < a href = "../../property_map/doc/ReadablePropertyMap.html" > Readable Property Map< / a > that maps vertices from < tt > g< / tt > to distinct integers in the range < tt > [0, num_vertices(g) )< / tt > < br >
< b > Default< / b > : < tt > get(vertex_index,g)< / tt > < br >
< / blockquote >
< H3 > Example< / H3 >
< P >
< a href = "../example/straight_line_drawing.cpp" > < TT > examples/straight_line_drawing.cpp< / TT > < / a >
< h3 > See Also< / h3 >
< p >
< ul >
< li > < a href = "planar_graphs.html" > Planar Graphs in the Boost Graph Library< / a >
< li > < a href = "straight_line_drawing.html" >
< tt > chrobak_payne_straight_line_drawing< / tt > < / a >
< / ul >
< br >
< HR >
Copyright © 2007 Aaron Windsor (< a href = "mailto:aaron.windsor@gmail.com" > aaron.windsor@gmail.com< / a > )
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