<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html> <head> <!-- Generated by HsColour, http://www.cs.york.ac.uk/fp/darcs/hscolour/ --> <title>utils/Interval.hs</title> <link type='text/css' rel='stylesheet' href='hscolour.css' /> </head> <body> <pre><a name="line-1"></a><span class='hs-keyword'>module</span> <span class='hs-conid'>Interval</span> <a name="line-2"></a> <span class='hs-layout'>(</span> <span class='hs-conid'>Interval</span> <a name="line-3"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>mkInterval</span><span class='hs-layout'>,</span> <span class='hs-varid'>intervalToInfinityFrom</span> <a name="line-4"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>integersInInterval</span> <a name="line-5"></a> <a name="line-6"></a> <span class='hs-layout'>,</span> <span class='hs-conid'>DisjointIntervalSet</span> <a name="line-7"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>emptyIntervalSet</span><span class='hs-layout'>,</span> <span class='hs-varid'>extendIntervalSet</span><span class='hs-layout'>,</span> <span class='hs-varid'>deleteFromIntervalSet</span> <a name="line-8"></a> <span class='hs-layout'>,</span> <span class='hs-varid'>subIntervals</span> <a name="line-9"></a> <span class='hs-layout'>)</span> <a name="line-10"></a><span class='hs-keyword'>where</span> <a name="line-11"></a> <a name="line-12"></a><span class='hs-keyword'>import</span> <span class='hs-conid'>Panic</span> <a name="line-13"></a> <a name="line-14"></a><span class='hs-cpp'>#include "HsVersions.h"</span> <a name="line-15"></a> <a name="line-16"></a><span class='hs-comment'>------------------------------------------------------------------ </span> <a name="line-17"></a><span class='hs-comment'>-- Intervals and Sets of Intervals</span> <a name="line-18"></a><span class='hs-comment'>------------------------------------------------------------------ </span> <a name="line-19"></a> <a name="line-20"></a><span class='hs-comment'>-- This module implements intervals over the integer line and sets of</span> <a name="line-21"></a><span class='hs-comment'>-- disjoint intervals. </span> <a name="line-22"></a> <a name="line-23"></a><span class='hs-comment'>{- <a name="line-24"></a>An interval $[x,y)$ over ordered points represents a half-open <a name="line-25"></a>interval of points: $\{ p \mid x \leq p < y \}$. Half-open intervals <a name="line-26"></a>have the nice property $[x,y) \cup [y,z) = [x,z)$. Non-empty <a name="line-27"></a>intervals can precede or overlap each other; an empty interval never <a name="line-28"></a>overlaps or precedes any other. The set of ordered elements contains <a name="line-29"></a>a unique element $\mathit{zero}$; using it in any interval is an <a name="line-30"></a>\emph{unchecked} run-time error. <a name="line-31"></a>-}</span> <a name="line-32"></a> <a name="line-33"></a> <a name="line-34"></a><a name="Interval"></a><span class='hs-keyword'>data</span> <span class='hs-conid'>Interval</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Interval</span> <span class='hs-layout'>{</span> <span class='hs-varid'>i_min</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span><span class='hs-layout'>,</span> <span class='hs-varid'>i_lim</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-layout'>}</span> <a name="line-35"></a> <span class='hs-comment'>-- width == i_lim - i_min >= 0</span> <a name="line-36"></a> <a name="line-37"></a><a name="Width"></a><span class='hs-keyword'>type</span> <span class='hs-conid'>Width</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Int</span> <a name="line-38"></a> <a name="line-39"></a><a name="mkInterval"></a><span class='hs-definition'>mkInterval</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Width</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Interval</span> <a name="line-40"></a><span class='hs-definition'>mkInterval</span> <span class='hs-varid'>min</span> <span class='hs-varid'>w</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>ASSERT</span> <span class='hs-layout'>(</span><span class='hs-varid'>w</span><span class='hs-varop'>>=</span><span class='hs-num'>0</span><span class='hs-layout'>)</span> <span class='hs-conid'>Interval</span> <span class='hs-varid'>min</span> <span class='hs-layout'>(</span><span class='hs-varid'>min</span><span class='hs-varop'>+</span><span class='hs-varid'>w</span><span class='hs-layout'>)</span> <a name="line-41"></a><a name="intervalToInfinityFrom"></a><span class='hs-definition'>intervalToInfinityFrom</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Int</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Interval</span> <a name="line-42"></a><span class='hs-definition'>intervalToInfinityFrom</span> <span class='hs-varid'>min</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Interval</span> <span class='hs-varid'>min</span> <span class='hs-varid'>maxBound</span> <a name="line-43"></a><a name="integersInInterval"></a><span class='hs-definition'>integersInInterval</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Interval</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Int</span><span class='hs-keyglyph'>]</span> <a name="line-44"></a><span class='hs-definition'>integersInInterval</span> <span class='hs-layout'>(</span><span class='hs-conid'>Interval</span> <span class='hs-varid'>min</span> <span class='hs-varid'>lim</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>gen</span> <span class='hs-varid'>min</span> <span class='hs-varid'>lim</span> <a name="line-45"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>gen</span> <span class='hs-varid'>min</span> <span class='hs-varid'>lim</span> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>min</span> <span class='hs-varop'>>=</span> <span class='hs-varid'>lim</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>[]</span> <a name="line-46"></a> <span class='hs-keyglyph'>|</span> <span class='hs-varid'>otherwise</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>min</span> <span class='hs-conop'>:</span> <span class='hs-varid'>gen</span> <span class='hs-layout'>(</span><span class='hs-varid'>min</span><span class='hs-varop'>+</span><span class='hs-num'>1</span><span class='hs-layout'>)</span> <span class='hs-varid'>lim</span> <a name="line-47"></a> <a name="line-48"></a><a name="precedes"></a><span class='hs-definition'>precedes</span><span class='hs-layout'>,</span> <span class='hs-varid'>overlaps</span><span class='hs-layout'>,</span> <span class='hs-varid'>adjoins</span><span class='hs-layout'>,</span> <span class='hs-varid'>contains</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Interval</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Interval</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Bool</span> <a name="line-49"></a><span class='hs-definition'>precedes</span> <span class='hs-layout'>(</span><span class='hs-conid'>Interval</span> <span class='hs-varid'>m</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Interval</span> <span class='hs-varid'>m'</span> <span class='hs-varid'>l'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varop'><=</span> <span class='hs-varid'>m'</span> <span class='hs-varop'>||</span> <span class='hs-varid'>l'</span> <span class='hs-varop'><=</span> <span class='hs-varid'>m</span> <a name="line-50"></a><a name="overlaps"></a><span class='hs-definition'>overlaps</span> <span class='hs-varid'>i</span> <span class='hs-varid'>i'</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>not</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-varop'>`precedes`</span> <span class='hs-varid'>i'</span> <span class='hs-varop'>||</span> <span class='hs-varid'>i'</span> <span class='hs-varop'>`precedes`</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <a name="line-51"></a><a name="adjoins"></a><span class='hs-definition'>adjoins</span> <span class='hs-layout'>(</span><span class='hs-conid'>Interval</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Interval</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>l</span> <span class='hs-varop'>==</span> <span class='hs-varid'>m</span> <a name="line-52"></a><a name="contains"></a><span class='hs-definition'>contains</span> <span class='hs-layout'>(</span><span class='hs-conid'>Interval</span> <span class='hs-varid'>m</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-layout'>(</span><span class='hs-conid'>Interval</span> <span class='hs-varid'>m'</span> <span class='hs-varid'>l'</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>m</span> <span class='hs-varop'><=</span> <span class='hs-varid'>m'</span> <span class='hs-varop'>&&</span> <span class='hs-varid'>l</span> <span class='hs-varop'>>=</span> <span class='hs-varid'>l'</span> <a name="line-53"></a> <a name="line-54"></a><a name="merge"></a><span class='hs-definition'>merge</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>Interval</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Interval</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Interval</span> <a name="line-55"></a><span class='hs-definition'>merge</span> <span class='hs-sel'>_i</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Interval</span> <span class='hs-varid'>m</span> <span class='hs-keyword'>_</span><span class='hs-layout'>)</span> <span class='hs-sel'>_i'</span><span class='hs-keyglyph'>@</span><span class='hs-layout'>(</span><span class='hs-conid'>Interval</span> <span class='hs-keyword'>_</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <span class='hs-comment'>{- ASSERT (adjoins i i') -}</span> <span class='hs-layout'>(</span><span class='hs-conid'>Interval</span> <span class='hs-varid'>m</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <a name="line-56"></a> <a name="line-57"></a> <a name="line-58"></a><span class='hs-comment'>----------</span> <a name="line-59"></a> <a name="line-60"></a> <a name="line-61"></a><a name="DisjointIntervalSet"></a><span class='hs-keyword'>newtype</span> <span class='hs-conid'>DisjointIntervalSet</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Intervals</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Interval</span><span class='hs-keyglyph'>]</span> <a name="line-62"></a> <span class='hs-comment'>-- invariants: * No two intervals overlap</span> <a name="line-63"></a> <span class='hs-comment'>-- * Adjacent intervals have a gap between</span> <a name="line-64"></a> <span class='hs-comment'>-- * Intervals are sorted by min element</span> <a name="line-65"></a> <a name="line-66"></a><a name="emptyIntervalSet"></a><span class='hs-definition'>emptyIntervalSet</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>DisjointIntervalSet</span> <a name="line-67"></a><span class='hs-definition'>emptyIntervalSet</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Intervals</span> <span class='hs-conid'>[]</span> <a name="line-68"></a><a name="extendIntervalSet"></a><span class='hs-definition'>extendIntervalSet</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>DisjointIntervalSet</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Interval</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>DisjointIntervalSet</span> <a name="line-69"></a><span class='hs-definition'>extendIntervalSet</span> <span class='hs-layout'>(</span><span class='hs-conid'>Intervals</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Intervals</span> <span class='hs-layout'>(</span><span class='hs-varid'>insert</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>i</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <a name="line-70"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>insert</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Interval</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Interval</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Interval</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Interval</span><span class='hs-keyglyph'>]</span> <a name="line-71"></a> <span class='hs-comment'>-- precondition: in 'insert prev' i l', every element of prev'</span> <a name="line-72"></a> <span class='hs-comment'>-- precedes and does not adjoin i</span> <a name="line-73"></a> <span class='hs-varid'>insert</span> <span class='hs-varid'>prev'</span> <span class='hs-varid'>i</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rev_app</span> <span class='hs-varid'>prev'</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>i</span><span class='hs-keyglyph'>]</span> <a name="line-74"></a> <span class='hs-varid'>insert</span> <span class='hs-varid'>prev'</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-varid'>i'</span><span class='hs-conop'>:</span><span class='hs-varid'>is</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-75"></a> <span class='hs-keyword'>if</span> <span class='hs-varid'>i</span> <span class='hs-varop'>`precedes`</span> <span class='hs-varid'>i'</span> <span class='hs-keyword'>then</span> <a name="line-76"></a> <span class='hs-keyword'>if</span> <span class='hs-varid'>i</span> <span class='hs-varop'>`adjoins`</span> <span class='hs-varid'>i'</span> <span class='hs-keyword'>then</span> <a name="line-77"></a> <span class='hs-varid'>insert</span> <span class='hs-varid'>prev'</span> <span class='hs-layout'>(</span><span class='hs-varid'>merge</span> <span class='hs-varid'>i</span> <span class='hs-varid'>i'</span><span class='hs-layout'>)</span> <span class='hs-varid'>is</span> <a name="line-78"></a> <span class='hs-keyword'>else</span> <a name="line-79"></a> <span class='hs-varid'>rev_app</span> <span class='hs-varid'>prev'</span> <span class='hs-layout'>(</span><span class='hs-varid'>i</span> <span class='hs-conop'>:</span> <span class='hs-varid'>i'</span> <span class='hs-conop'>:</span> <span class='hs-varid'>is</span><span class='hs-layout'>)</span> <a name="line-80"></a> <span class='hs-keyword'>else</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>i'</span> <span class='hs-varop'>`precedes`</span> <span class='hs-varid'>i</span> <span class='hs-keyword'>then</span> <a name="line-81"></a> <span class='hs-keyword'>if</span> <span class='hs-varid'>i'</span> <span class='hs-varop'>`adjoins`</span> <span class='hs-varid'>i</span> <span class='hs-keyword'>then</span> <a name="line-82"></a> <span class='hs-varid'>insert</span> <span class='hs-varid'>prev'</span> <span class='hs-layout'>(</span><span class='hs-varid'>merge</span> <span class='hs-varid'>i'</span> <span class='hs-varid'>i</span><span class='hs-layout'>)</span> <span class='hs-varid'>is</span> <a name="line-83"></a> <span class='hs-keyword'>else</span> <a name="line-84"></a> <span class='hs-varid'>insert</span> <span class='hs-layout'>(</span><span class='hs-varid'>i'</span> <span class='hs-conop'>:</span> <span class='hs-varid'>prev'</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span> <span class='hs-varid'>is</span> <a name="line-85"></a> <span class='hs-keyword'>else</span> <a name="line-86"></a> <span class='hs-varid'>panic</span> <span class='hs-str'>"overlapping intervals"</span> <a name="line-87"></a> <a name="line-88"></a><a name="deleteFromIntervalSet"></a><span class='hs-definition'>deleteFromIntervalSet</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>DisjointIntervalSet</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Interval</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>DisjointIntervalSet</span> <a name="line-89"></a><span class='hs-definition'>deleteFromIntervalSet</span> <span class='hs-layout'>(</span><span class='hs-conid'>Intervals</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span> <span class='hs-keyglyph'>=</span> <span class='hs-conid'>Intervals</span> <span class='hs-layout'>(</span><span class='hs-varid'>rm</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>i</span> <span class='hs-varid'>l</span><span class='hs-layout'>)</span> <a name="line-90"></a> <span class='hs-keyword'>where</span> <span class='hs-varid'>rm</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Interval</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Interval</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Interval</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Interval</span><span class='hs-keyglyph'>]</span> <a name="line-91"></a> <span class='hs-comment'>-- precondition: in 'rm prev' i l', every element of prev'</span> <a name="line-92"></a> <span class='hs-comment'>-- precedes and does not adjoin i</span> <a name="line-93"></a> <span class='hs-varid'>rm</span> <span class='hs-keyword'>_</span> <span class='hs-keyword'>_</span> <span class='hs-conid'>[]</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>panic</span> <span class='hs-str'>"removed interval not present in set"</span> <a name="line-94"></a> <span class='hs-varid'>rm</span> <span class='hs-varid'>prev'</span> <span class='hs-varid'>i</span> <span class='hs-layout'>(</span><span class='hs-varid'>i'</span><span class='hs-conop'>:</span><span class='hs-varid'>is</span><span class='hs-layout'>)</span> <span class='hs-keyglyph'>=</span> <a name="line-95"></a> <span class='hs-keyword'>if</span> <span class='hs-varid'>i</span> <span class='hs-varop'>`precedes`</span> <span class='hs-varid'>i'</span> <span class='hs-keyword'>then</span> <a name="line-96"></a> <span class='hs-varid'>panic</span> <span class='hs-str'>"removed interval not present in set"</span> <a name="line-97"></a> <span class='hs-keyword'>else</span> <span class='hs-keyword'>if</span> <span class='hs-varid'>i'</span> <span class='hs-varop'>`precedes`</span> <span class='hs-varid'>i</span> <span class='hs-keyword'>then</span> <a name="line-98"></a> <span class='hs-varid'>rm</span> <span class='hs-layout'>(</span><span class='hs-varid'>i'</span> <span class='hs-conop'>:</span> <span class='hs-varid'>prev'</span><span class='hs-layout'>)</span> <span class='hs-varid'>i</span> <span class='hs-varid'>is</span> <a name="line-99"></a> <span class='hs-keyword'>else</span> <a name="line-100"></a> <span class='hs-comment'>-- remove i from i', leaving 0, 1, or 2 leftovers</span> <a name="line-101"></a> <span class='hs-varid'>undefined</span> <span class='hs-comment'>{- <a name="line-102"></a> ASSERTX (i' `contains` i) <a name="line-103"></a> let (Interval m l, Interval m' l' <a name="line-104"></a> panic "overlapping intervals" <a name="line-105"></a> -}</span> <a name="line-106"></a> <a name="line-107"></a><a name="subIntervals"></a><span class='hs-definition'>subIntervals</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>DisjointIntervalSet</span> <span class='hs-keyglyph'>-></span> <span class='hs-conid'>Width</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-conid'>Interval</span><span class='hs-keyglyph'>]</span> <a name="line-108"></a><span class='hs-definition'>subIntervals</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>undefined</span> <a name="line-109"></a> <a name="line-110"></a><a name="rev_app"></a><span class='hs-definition'>rev_app</span> <span class='hs-keyglyph'>::</span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <span class='hs-keyglyph'>-></span> <span class='hs-keyglyph'>[</span><span class='hs-varid'>a</span><span class='hs-keyglyph'>]</span> <a name="line-111"></a><span class='hs-definition'>rev_app</span> <span class='hs-conid'>[]</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>xs</span> <a name="line-112"></a><span class='hs-definition'>rev_app</span> <span class='hs-layout'>(</span><span class='hs-varid'>y</span><span class='hs-conop'>:</span><span class='hs-varid'>ys</span><span class='hs-layout'>)</span> <span class='hs-varid'>xs</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>rev_app</span> <span class='hs-varid'>ys</span> <span class='hs-layout'>(</span><span class='hs-varid'>y</span><span class='hs-conop'>:</span><span class='hs-varid'>xs</span><span class='hs-layout'>)</span> <a name="line-113"></a> <a name="line-114"></a><span class='hs-sel'>_unused</span> <span class='hs-keyglyph'>::</span> <span class='hs-conid'>()</span> <a name="line-115"></a><span class='hs-sel'>_unused</span> <span class='hs-keyglyph'>=</span> <span class='hs-varid'>undefined</span> <span class='hs-varid'>i_min</span> <span class='hs-varid'>i_lim</span> <span class='hs-varid'>overlaps</span> <span class='hs-varid'>contains</span> <a name="line-116"></a> </pre></body> </html>