94 lines
2.8 KiB
HTML
94 lines
2.8 KiB
HTML
<HTML>
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<!-- Copyright 2007 Aaron Windsor
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Distributed under the Boost Software License, Version 1.0.
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(See accompanying file LICENSE_1_0.txt or copy at
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http://www.boost.org/LICENSE_1_0.txt)
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-->
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<Head>
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<Title>Boost Graph Library: is_straight_line_drawing</Title>
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<BODY BGCOLOR="#ffffff" LINK="#0000ee" TEXT="#000000" VLINK="#551a8b"
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ALINK="#ff0000">
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<IMG SRC="../../../boost.png"
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ALT="C++ Boost" width="277" height="86">
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<BR Clear>
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<H1><tt>is_straight_line_drawing</tt></H1>
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<p>
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<pre>
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template <typename Graph, typename GridPositionMap, typename VertexIndexMap>
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bool is_straight_line_drawing(const Graph& g, GridPositionMap drawing, VertexIndexMap vm);
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</pre>
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<p>
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If <tt>drawing</tt> is a property map modeling the PositionMap
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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>
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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>
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<a href="straight_line_drawing.html">chrobak_payne_straight_line_embedding.</a>
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</tt>
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<p>
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<h3>Complexity</h3>
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Runs in time <i>O(n log n)</i> on a planar graph with <i>n</i> vertices.
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<H3>Where Defined</H3>
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<P>
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<a href="../../../boost/graph/is_straight_line_drawing.hpp"><TT>boost/graph/is_straight_line_drawing.hpp</TT></a>
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<h3>Parameters</h3>
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IN: <tt>Graph& g</tt>
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<blockquote>
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An undirected graph. The graph type must be a model of <a
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href="EdgeListGraph.html">Edge List Graph</a>
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</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
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that the value mapped to be an object that has members <tt>x</tt> and
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<tt>y</tt>. For example, if <tt>p</tt> models PositionMap and <tt>v</tt>
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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>.
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</blockquote>
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IN: <tt>VertexIndexMap vm</tt>
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<blockquote>
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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>
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<b>Default</b>: <tt>get(vertex_index,g)</tt><br>
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</blockquote>
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<H3>Example</H3>
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<P>
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<a href="../example/straight_line_drawing.cpp"><TT>examples/straight_line_drawing.cpp</TT></a>
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<h3>See Also</h3>
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<p>
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<ul>
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<li><a href="planar_graphs.html">Planar Graphs in the Boost Graph Library</a>
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<li><a href="straight_line_drawing.html">
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<tt>chrobak_payne_straight_line_drawing</tt></a>
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</ul>
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<br>
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<HR>
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Copyright © 2007 Aaron Windsor (<a href="mailto:aaron.windsor@gmail.com">aaron.windsor@gmail.com</a>)
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</BODY>
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</HTML>
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