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15<title>Function kamada_kawai_spring_layout</title>
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32<div class="refentry" lang="en"><a name="id103831-bb" id=
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34<div class="titlepage"></div>
35<div class="refnamediv">
36<h2><img src="figs/python.gif" alt="(Python)"><span class=
37"refentrytitle">Function kamada_kawai_spring_layout</span></h2>
38<p>boost::kamada_kawai_spring_layout &mdash; Kamada-Kawai spring
39layout for connected, undirected graphs.</p>
40</div>
41<h2 xmlns:rev=
42"http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class=
43"refsynopsisdiv-title">Synopsis</h2>
44<div xmlns:rev=
45"http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class=
46"refsynopsisdiv">
47<pre class="synopsis">
48<span class="bold"><b>template</b></span>&lt;<span class=
49"bold"><b>typename</b></span> Topology, <span class=
50"bold"><b>typename</b></span> Graph, <span class=
51"bold"><b>typename</b></span> PositionMap, <span class=
52"bold"><b>typename</b></span> WeightMap, <span class=
53"bold"><b>typename</b></span> T,
54 <span class=
55"bold"><b>bool</b></span> EdgeOrSideLength, <span class=
56"bold"><b>typename</b></span> Done, <span class=
57"bold"><b>typename</b></span> VertexIndexMap,
58 <span class=
59"bold"><b>typename</b></span> DistanceMatrix, <span class=
60"bold"><b>typename</b></span> SpringStrengthMatrix,
61 <span class=
62"bold"><b>typename</b></span> PartialDerivativeMap&gt;
63 <span class="type"><span class=
64"bold"><b>bool</b></span></span> kamada_kawai_spring_layout(<span class="bold"><b>const</b></span> Graph &amp; g, PositionMap position,
65 WeightMap weight,
66 <b>const</b> Topology&amp; space,
67 <span class=
68"emphasis"><em>unspecified</em></span> edge_or_side_length, Done done,
69 <span class=
70"bold"><b>typename</b></span> property_traits&lt; WeightMap &gt;::value_type spring_constant,
71 VertexIndexMap index,
72 DistanceMatrix distance,
73 SpringStrengthMatrix spring_strength,
74 PartialDerivativeMap partial_derivatives);
75<span class="bold"><b>template</b></span>&lt;<span class=
76"bold"><b>typename</b></span> Topology, <span class=
77"bold"><b>typename</b></span> Graph, <span class=
78"bold"><b>typename</b></span> PositionMap, <span class=
79"bold"><b>typename</b></span> WeightMap, <span class=
80"bold"><b>typename</b></span> T,
81 <span class=
82"bold"><b>bool</b></span> EdgeOrSideLength, <span class=
83"bold"><b>typename</b></span> Done, <span class=
84"bold"><b>typename</b></span> VertexIndexMap&gt;
85 <span class="type"><span class=
86"bold"><b>bool</b></span></span> kamada_kawai_spring_layout(<span class="bold"><b>const</b></span> Graph &amp; g, PositionMap position,
87 WeightMap weight,
88 <b>const</b> Topology&amp; space,
89 <span class=
90"emphasis"><em>unspecified</em></span> edge_or_side_length, Done done,
91 <span class=
92"bold"><b>typename</b></span> property_traits&lt; WeightMap &gt;::value_type spring_constant,
93 VertexIndexMap index);
94<span class="bold"><b>template</b></span>&lt;<span class=
95"bold"><b>typename</b></span> Topology, <span class=
96"bold"><b>typename</b></span> Graph, <span class=
97"bold"><b>typename</b></span> PositionMap, <span class=
98"bold"><b>typename</b></span> WeightMap, <span class=
99"bold"><b>typename</b></span> T,
100 <span class=
101"bold"><b>bool</b></span> EdgeOrSideLength, <span class=
102"bold"><b>typename</b></span> Done&gt;
103 <span class="type"><span class=
104"bold"><b>bool</b></span></span> kamada_kawai_spring_layout(<span class="bold"><b>const</b></span> Graph &amp; g, PositionMap position,
105 WeightMap weight,
106 <b>const</b> Topology&amp; space,
107 <span class=
108"emphasis"><em>unspecified</em></span> edge_or_side_length, Done done,
109 <span class=
110"bold"><b>typename</b></span> property_traits&lt; WeightMap &gt;::value_type spring_constant = typename property_traits&lt; WeightMap &gt;::value_type(1));
111<span class="bold"><b>template</b></span>&lt;<span class=
112"bold"><b>typename</b></span> Topology, <span class=
113"bold"><b>typename</b></span> Graph, <span class=
114"bold"><b>typename</b></span> PositionMap, <span class=
115"bold"><b>typename</b></span> WeightMap, <span class=
116"bold"><b>typename</b></span> T,
117 <span class=
118"bold"><b>bool</b></span> EdgeOrSideLength&gt;
119 <span class="type"><span class=
120"bold"><b>bool</b></span></span> kamada_kawai_spring_layout(<span class="bold"><b>const</b></span> Graph &amp; g, PositionMap position,
121 WeightMap weight,
122 <b>const</b> Topology&amp; space,
123 <span class=
124"emphasis"><em>unspecified</em></span> edge_or_side_length);
125</pre></div>
126<div class="refsect1" lang="en"><a name="id822881" id=
127"id822881"></a>
128<h2>Where Defined</h2>
129<a href=
130"../../../boost/graph/kamada_kawai_spring_layout.hpp">boost/graph/kamada_kawai_spring_layout.hpp</a>
131
132<h2>Description</h2>
133<p>This algorithm&nbsp;[<a href=
134"bibliography.html#kamada89">57</a>] performs graph layout (in two
135dimensions) for connected, undirected graphs. It operates by
136relating the layout of graphs to a dynamic spring system and
137minimizing the energy within that system. The strength of a spring
138between two vertices is inversely proportional to the square of the
139shortest distance (in graph terms) between those two vertices.
140Essentially, vertices that are closer in the graph-theoretic sense
141(i.e., by following edges) will have stronger springs and will
142therefore be placed closer together.</p>
143<p>Prior to invoking this algorithm, it is recommended that the
144vertices be placed along the vertices of a regular n-sided polygon
145via <a href="circle_layout.html"><tt>circle_layout</tt></a>.</p>
146<p><b xmlns:rev=
147"http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision"><span class="term">
148Returns</span></b>: <tt class="computeroutput">true</tt> if layout
149was successful or <tt class="computeroutput">false</tt> if a
150negative weight cycle was detected or the graph is
151disconnected.</p>
152
153<h2>Parameters</h2>
154IN: <tt>const Graph&amp; g</tt>
155<blockquote>
156 The graph, whose type <tt>Graph</tt> must model the
157 <a href="VertexListGraph.html">VertexListGraph</a>,
158 <a href="EdgeListGraph.html">EdgeListGraph</a>, and
159 <a href="IncidenceGraph.html">IncidenceGraph</a> concepts. The
160 graph must be undirected and connected. <br>
161 <b>Python</b>: This parameter is named <tt>graph</tt> in Python.
162</blockquote>
163
164OUT: <tt>PositionMap position</tt>
165<blockquote>
166 This property map is used to store the position of each vertex. The
167 type <tt>PositionMap</tt> must be a model of <a
168 href="../../property_map/doc/WritablePropertyMap.html">Writable Property
169 Map</a>, with the graph's vertex descriptor type as its key type and
170 <tt>Topology::point_type</tt> as its value type.<br>
171
172 <b>Python</b>: The position map must be a <tt>vertex_point2d_map</tt> for
173 the graph.<br>
174 <b>Python default</b>: <tt>graph.get_vertex_point2d_map("position")</tt>
175</blockquote>
176
177IN: <tt>weight_map(WeightMap w_map)</tt>
178<blockquote>
179 The weight or ``length'' of each edge in the graph. The weights
180 must all be non-negative, and the algorithm will throw a
181 <a href="./exception.html#negative_edge"><tt>negative_edge</tt></a>
182 exception is one of the edges is negative.
183 The type <tt>WeightMap</tt> must be a model of
184 <a href="../../property_map/doc/ReadablePropertyMap.html">Readable Property Map</a>. The edge descriptor type of
185 the graph needs to be usable as the key type for the weight
186 map. The value type for this map must be
187 the same as the value type of the distance map.<br>
188 <b>Default:</b> <tt>get(edge_weight, g)</tt><br>
189
190 <b>Python</b>: Must be an <tt>edge_double_map</tt> for the graph.<br>
191 <b>Python default</b>: <tt>graph.get_edge_double_map("weight")</tt>
192</blockquote>
193
194IN: <tt>const Topology&amp; space</tt>
195<blockquote>
196The topology used to lay out the vertices. This parameter describes both the
197size and shape of the layout area, as well as its dimensionality; up to three
198dimensions are supported by the current implementation. Topologies are
199described in more detail
200(with a list of BGL-provided topologies) <a href="topology.html">in separate
201documentation</a>.
202</blockquote>
203
204IN: <tt>EdgeOrSideLength edge_or_side_length</tt>
205<blockquote>
206Provides either the unit length <tt class= "computeroutput">e</tt> of
207an edge in the layout or the length of a side <tt
208class="computeroutput">s</tt> of the display area, and must be
209either <tt class= "computeroutput">boost::edge_length(e)</tt> or <tt
210class= "computeroutput">boost::side_length(s)</tt> , respectively.
211<b>Python</b>: In Python, this value always refers to the side length
212and may only be a <tt>double</tt>.
213</blockquote>
214
215IN: <tt>Done done</tt>
216<blockquote>
217A 4-argument function object that is passed the current
218value of delta_p (i.e., the energy of vertex <tt class=
219"computeroutput">p</tt> ), the vertex <tt class=
220"computeroutput">p</tt> , the graph <tt class=
221"computeroutput">g</tt> , and a boolean flag indicating whether
222<tt class="computeroutput">delta_p</tt> is the maximum energy in
223the system (when <tt class="computeroutput">true</tt> ) or the
224energy of the vertex being moved.
225<b>Default</b>: <a href=
226"layout_tolerance.html"><tt class=
227"computeroutput">layout_tolerance</tt></a> instantiated over the
228value type of the weight map.<br>
229<b>Python</b>: Any callable Python object with an appropriate signature suffices.
230</blockquote>
231
232IN: <tt>typename property_traits&lt;WeightMap&gt;::value_type spring_constant</tt>
233<blockquote>
234The constant multiplied by each spring's strength.
235Larger values create systems with more energy that can take longer
236to stabilize; smaller values create systems with less energy that
237stabilize quickly but do not necessarily result in pleasing
238layouts.<br>
239<b>Default</b>: 1.
240</blockquote>
241
242IN: <tt>VertexIndexMap index</tt>
243<blockquote>
244As a mapping from vertices to index values between 0 and
245<tt class="computeroutput">num_vertices(g)</tt> .<br>
246<b>Default</b>:<tt class="computeroutput">get(vertex_index,g)</tt>.
247 Note: if you use this default, make sure your graph has
248 an internal <tt>vertex_index</tt> property. For example,
249 <tt>adjacency_list</tt> with <tt>VertexList=listS</tt> does
250 not have an internal <tt>vertex_index</tt> property.
251 <br>
252<b>Python</b>: Unsupported parameter.
253</blockquote>
254
255UTIL/OUT: <tt>DistanceMap distance</tt>
256<blockquote>
257This parameter will be used to store the distance from every vertex to
258every other vertex, which is computed in the first stages of the
259algorithm. This value's type must be a model of <a
260href="BasicMatrix.html"><tt>BasicMatrix</tt></a> with value type equal to
261the value type of the weight map.<br>
262<b>Default</b>: A vector of vectors.<br>
263<b>Python</b>: Unsupported parameter.
264</blockquote>
265
266UTIL/OUT: <tt>SpringStrengthMatrix spring_strength</tt>
267<blockquote>
268
269This matrix will be used to store the strength of the spring between
270every pair of vertices. This value's type must be a model of <a
271href="BasicMatrix.html">BasicMatrix</a> with value type equal to the
272value type of the weight map.<br>
273<b>Default</b>: A vector of vectors of the value type of the weight map.<br>
274<b>Python</b>: Unsupported parameter.
275</blockquote>
276
277UTIL: <tt>PartialDerivativeMap partial_derivatives</tt>
278<blockquote>
279A property map that will be used to store the partial derivatives of
280each vertex with respect to the vertex's current coordinates.
281coordinates. This must be a
282<a href="../../property_map/doc/ReadWritePropertyMap.html">Read/Write
283Property Map</a> whose value type is <tt>Topology::point_difference_type</tt>.
284The default is an iterator property map built using the graph's vertex index
285map.<br>
286<b>Default</b>: An <tt>iterator_property_map</tt> created from
287an <tt>std::vector</tt> of <tt>Topology::point_difference_type</tt>.<br>
288<b>Python</b>: Unsupported parameter.
289</blockquote>
290
291<b>Python</b> IN: <tt>bool progressive</tt>
292<blockquote>
293 When <tt>false</tt>, performs layout of the graph on a circle before
294 running the Kamada-Kawai algorithm. If <tt>true</tt>, the algorithm
295 is executing starting with the vertex configuration in
296 the <tt>position</tt> map.<br>
297 <b>Default</b>: <tt>False</tt>.
298</blockquote>
299
300</div>
301</div>
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314<td nowrap>Copyright &copy; 2004, 2010 Trustees of Indiana University</td>
315<td><a href="http://www.boost.org/people/doug_gregor.html">Douglas Gregor</a>,
316Indiana University (dgregor -at cs.indiana.edu)<br>
317<a href="http://www.osl.iu.edu/~lums">Andrew Lumsdaine</a>, Indiana
318University (<a href=
319"mailto:lums@osl.iu.edu">lums@osl.iu.edu</a>)</td>
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