walkmap/docs/cloverage/walkmap/edge.clj.html

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<link rel="stylesheet" href="../coverage.css"/> <title> walkmap/edge.clj </title>
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<span class="covered" title="1 out of 1 forms covered">
001&nbsp;&nbsp;(ns&nbsp;walkmap.edge
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002&nbsp;&nbsp;&nbsp;&nbsp;&quot;Essentially&nbsp;the&nbsp;specification&nbsp;for&nbsp;things&nbsp;we&nbsp;shall&nbsp;consider&nbsp;to&nbsp;be&nbsp;an&nbsp;edge.
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003&nbsp;&nbsp;&nbsp;&nbsp;An&nbsp;edge&nbsp;is&nbsp;a&nbsp;line&nbsp;segment&nbsp;having&nbsp;just&nbsp;a&nbsp;start&nbsp;and&nbsp;an&nbsp;end,&nbsp;with&nbsp;no&nbsp;intervening
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004&nbsp;&nbsp;&nbsp;&nbsp;nodes.&quot;
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005&nbsp;&nbsp;&nbsp;&nbsp;(:require&nbsp;[clojure.math.numeric-tower&nbsp;:as&nbsp;m]
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006&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[walkmap.path&nbsp;:refer&nbsp;[path?&nbsp;polygon-&gt;path]]
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007&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[walkmap.polygon&nbsp;:refer&nbsp;[polygon?]]
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008&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[walkmap.vertex&nbsp;:refer&nbsp;[ensure3d&nbsp;vertex?]]))
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009&nbsp;&nbsp;
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010&nbsp;&nbsp;(defn&nbsp;edge?
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011&nbsp;&nbsp;&nbsp;&nbsp;&quot;True&nbsp;if&nbsp;`o`&nbsp;satisfies&nbsp;the&nbsp;conditions&nbsp;for&nbsp;a&nbsp;path.&nbsp;A&nbsp;path&nbsp;shall&nbsp;be&nbsp;a&nbsp;map
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012&nbsp;&nbsp;&nbsp;&nbsp;having&nbsp;the&nbsp;keys&nbsp;`:start`&nbsp;and&nbsp;`:end`,&nbsp;such&nbsp;that&nbsp;the&nbsp;values&nbsp;of&nbsp;each&nbsp;of&nbsp;those
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013&nbsp;&nbsp;&nbsp;&nbsp;keys&nbsp;shall&nbsp;be&nbsp;a&nbsp;vertex.&quot;
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014&nbsp;&nbsp;&nbsp;&nbsp;[o]
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015&nbsp;&nbsp;&nbsp;&nbsp;(and
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016&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(map?&nbsp;o)
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<span class="covered" title="5 out of 5 forms covered">
017&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(vertex?&nbsp;(:start&nbsp;o))
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<span class="covered" title="4 out of 4 forms covered">
018&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(vertex?&nbsp;(:end&nbsp;o))))
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019&nbsp;&nbsp;
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020&nbsp;&nbsp;(defn&nbsp;path-&gt;edges
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021&nbsp;&nbsp;&nbsp;&nbsp;&quot;if&nbsp;`o`&nbsp;is&nbsp;a&nbsp;path,&nbsp;a&nbsp;polygon,&nbsp;or&nbsp;a&nbsp;sequence&nbsp;of&nbsp;vertices,&nbsp;return&nbsp;a&nbsp;sequence&nbsp;of
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022&nbsp;&nbsp;&nbsp;&nbsp;edges&nbsp;representing&nbsp;that&nbsp;path,&nbsp;polygon&nbsp;or&nbsp;sequence.&quot;
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023&nbsp;&nbsp;&nbsp;&nbsp;[o]
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024&nbsp;&nbsp;&nbsp;&nbsp;(cond
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025&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(seq?&nbsp;o)
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026&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(when
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027&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(and
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028&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(vertex?&nbsp;(first&nbsp;o))
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029&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(vertex?&nbsp;(first&nbsp;(rest&nbsp;o))))
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030&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(cons
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031&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;{:start&nbsp;(first&nbsp;o)
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032&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;:end&nbsp;(first&nbsp;(rest&nbsp;o))}
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033&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(path-&gt;edges&nbsp;(rest&nbsp;o))))
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034&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(path?&nbsp;o)
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035&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(path-&gt;edges&nbsp;(:nodes&nbsp;o))
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036&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(polygon?&nbsp;o)
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037&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(path-&gt;edges&nbsp;(polygon-&gt;path&nbsp;o))))
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038&nbsp;&nbsp;
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039&nbsp;&nbsp;(defn&nbsp;length
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040&nbsp;&nbsp;&nbsp;&nbsp;&quot;Return&nbsp;the&nbsp;length&nbsp;of&nbsp;the&nbsp;edge&nbsp;`e`.&quot;
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041&nbsp;&nbsp;&nbsp;&nbsp;[e]
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<span class="covered" title="6 out of 6 forms covered">
042&nbsp;&nbsp;&nbsp;&nbsp;(let&nbsp;[start&nbsp;(ensure3d&nbsp;(:start&nbsp;e))
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043&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;end&nbsp;(ensure3d&nbsp;(:end&nbsp;e))]
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044&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(m&#x2F;sqrt
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045&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(reduce
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046&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;+
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047&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(map
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048&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;#(m&#x2F;expt&nbsp;(-&nbsp;(%&nbsp;end)&nbsp;(%&nbsp;start))&nbsp;2)
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049&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[:x&nbsp;:y&nbsp;:z])))))
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050&nbsp;&nbsp;
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051&nbsp;&nbsp;(defn&nbsp;unit-vector
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052&nbsp;&nbsp;&nbsp;&nbsp;&quot;Return&nbsp;an&nbsp;vertex&nbsp;parallel&nbsp;to&nbsp;`e`&nbsp;starting&nbsp;from&nbsp;the&nbsp;coordinate&nbsp;origin.&nbsp;Two
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053&nbsp;&nbsp;&nbsp;&nbsp;edges&nbsp;which&nbsp;are&nbsp;parallel&nbsp;will&nbsp;have&nbsp;the&nbsp;same&nbsp;unit&nbsp;vector.&quot;
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054&nbsp;&nbsp;&nbsp;&nbsp;[e]
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055&nbsp;&nbsp;&nbsp;&nbsp;(let&nbsp;[e&#x27;&nbsp;{:start&nbsp;(ensure3d&nbsp;(:start&nbsp;e))&nbsp;:end&nbsp;(ensure3d&nbsp;(:end&nbsp;e))}
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056&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;l&nbsp;(length&nbsp;e&#x27;)]
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057&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(reduce
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058&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;merge
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059&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;{}
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060&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(map
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061&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(fn&nbsp;[k]
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062&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;{k&nbsp;(&#x2F;&nbsp;(-&nbsp;(k&nbsp;(:end&nbsp;e&#x27;))&nbsp;(k&nbsp;(:start&nbsp;e&#x27;)))&nbsp;l)})
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063&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[:x&nbsp;:y&nbsp;:z]))))
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064&nbsp;&nbsp;
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065&nbsp;&nbsp;(defn&nbsp;parallel?
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066&nbsp;&nbsp;&nbsp;&nbsp;&quot;True&nbsp;if&nbsp;all&nbsp;`edges`&nbsp;passed&nbsp;are&nbsp;parallel&nbsp;with&nbsp;one&nbsp;another.&quot;
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067&nbsp;&nbsp;&nbsp;&nbsp;;;&nbsp;TODO:&nbsp;this&nbsp;bears&nbsp;being&nbsp;wary&nbsp;about,&nbsp;dealing&nbsp;with&nbsp;floating&nbsp;point&nbsp;arithmetic.
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068&nbsp;&nbsp;&nbsp;&nbsp;;;&nbsp;Keep&nbsp;an&nbsp;eye&nbsp;out&nbsp;for&nbsp;spurious&nbsp;errors.
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069&nbsp;&nbsp;&nbsp;&nbsp;[&amp;&nbsp;edges]
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070&nbsp;&nbsp;&nbsp;&nbsp;(let&nbsp;[uvs&nbsp;(map&nbsp;unit-vector&nbsp;edges)]
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071&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(every?
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072&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;#(=&nbsp;%&nbsp;(first&nbsp;uvs))
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073&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(rest&nbsp;uvs))))
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074&nbsp;&nbsp;
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075&nbsp;&nbsp;(defn&nbsp;collinear?
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076&nbsp;&nbsp;&nbsp;&nbsp;&quot;True&nbsp;if&nbsp;edges&nbsp;`e1`&nbsp;and&nbsp;`e2`&nbsp;are&nbsp;collinear&nbsp;with&nbsp;one&nbsp;another.&quot;
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077&nbsp;&nbsp;&nbsp;&nbsp;[e1&nbsp;e2]
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078&nbsp;&nbsp;&nbsp;&nbsp;(parallel?
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079&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;e1
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080&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;e2
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081&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;{:start&nbsp;(:start&nbsp;e1)&nbsp;:end&nbsp;(:start&nbsp;e2)}))
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082&nbsp;&nbsp;
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