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<h2 id="sec:assoc"><a id="sec:A.3"><span class="sec-nr">A.3</span> <span class="sec-title">library(assoc):
Association lists</span></a></h2>
<a id="sec:assoc"></a>
<a id="sec:lib:assoc"></a>
<p>Authors: <em>Richard A. O'Keefe, L.Damas, V.S.Costa and Markus Triska</em>
<p>Elements of an association list have 2 components: A (unique)
<em>key</em> and a <em>value</em>. Keys should be ground, values need
not be. An association list can be used to fetch elements via their keys
and to enumerate its elements in ascending order of their keys. The
<code>library(assoc)</code> module uses AVL trees to implement
association lists. This makes inserting, changing and fetching a single
element an O(log(N)) (where N denotes the number of elements in the
list) expected time (and worst-case time) operation.
<dl class="latex">
<dt class="pubdef"><a id="assoc_to_list/2"><strong>assoc_to_list</strong>(<var>+Assoc,
-List</var>)</a></dt>
<dd class="defbody">
<var>List</var> is a list of Key-Value pairs corresponding to the
associations in <var>Assoc</var> in ascending order of keys.</dd>
<dt class="pubdef"><a id="assoc_to_keys/2"><strong>assoc_to_keys</strong>(<var>+Assoc,
-List</var>)</a></dt>
<dd class="defbody">
<var>List</var> is a list of Keys corresponding to the associations in <var>Assoc</var>
in ascending order.</dd>
<dt class="pubdef"><a id="assoc_to_values/2"><strong>assoc_to_values</strong>(<var>+Assoc,
-List</var>)</a></dt>
<dd class="defbody">
<var>List</var> is a list of Values corresponding to the associations in <var>Assoc</var>
in ascending order of the keys they are associated to.</dd>
<dt class="pubdef"><a id="empty_assoc/1"><strong>empty_assoc</strong>(<var>-Assoc</var>)</a></dt>
<dd class="defbody">
<var>Assoc</var> is unified with an empty association list.</dd>
<dt class="pubdef"><a id="gen_assoc/3"><strong>gen_assoc</strong>(<var>?Key,
+Assoc, ?Value</var>)</a></dt>
<dd class="defbody">
Enumerate matching elements of <var>Assoc</var> in ascending order of
their keys via backtracking.</dd>
<dt class="pubdef"><a id="get_assoc/3"><strong>get_assoc</strong>(<var>+Key,
+Assoc, ?Value</var>)</a></dt>
<dd class="defbody">
<var>Value</var> is the value associated with <var>Key</var> in the
association list <var>Assoc</var>.</dd>
<dt class="pubdef"><a id="get_assoc/5"><strong>get_assoc</strong>(<var>+Key,
+Assoc, ?Old, ?NewAssoc, ?New</var>)</a></dt>
<dd class="defbody">
<var>NewAssoc</var> is an association list identical to
<var>Assoc</var> except that the value associated with <var>Key</var> is <var>New</var>
instead of <var>Old</var>.</dd>
<dt class="pubdef"><a id="list_to_assoc/2"><strong>list_to_assoc</strong>(<var>+List,
-Assoc</var>)</a></dt>
<dd class="defbody">
<var>Assoc</var> is an association list corresponding to the Key-Value
pairs in <var>List</var>. <var>List</var> must not contain duplicate
keys.</dd>
<dt class="pubdef"><a id="map_assoc/2"><strong>map_assoc</strong>(<var>:Goal,
+Assoc</var>)</a></dt>
<dd class="defbody">
<var>Goal(V)</var> is true for every value V in <var>Assoc</var>.</dd>
<dt class="pubdef"><a id="map_assoc/3"><strong>map_assoc</strong>(<var>:Goal,
+AssocIn, ?AssocOut</var>)</a></dt>
<dd class="defbody">
<var>AssocOut</var> is <var>AssocIn</var> with <var>Goal</var> applied
to all corresponding pairs of values.</dd>
<dt class="pubdef"><a id="max_assoc/3"><strong>max_assoc</strong>(<var>+Assoc,
?Key, ?Value</var>)</a></dt>
<dd class="defbody">
<var>Key</var> and <var>Value</var> are key and value of the element
with the largest key in <var>Assoc</var>.</dd>
<dt class="pubdef"><a id="min_assoc/3"><strong>min_assoc</strong>(<var>+Assoc,
?Key, ?Value</var>)</a></dt>
<dd class="defbody">
<var>Key</var> and <var>Value</var> are key and value of the element
with the smallest key in <var>Assoc</var>.</dd>
<dt class="pubdef"><a id="ord_list_to_assoc/2"><strong>ord_list_to_assoc</strong>(<var>+List,
-Assoc</var>)</a></dt>
<dd class="defbody">
<var>Assoc</var> is an association list correspond to the Key-Value
pairs in <var>List</var>, which must occur in strictly ascending order
of their keys.</dd>
<dt class="pubdef"><a id="put_assoc/4"><strong>put_assoc</strong>(<var>+Key,
+Assoc, +Value, ?NewAssoc</var>)</a></dt>
<dd class="defbody">
<var>NewAssoc</var> is an association list identical to
<var>Assoc</var> except that <var>Key</var> is associated with
<var>Value</var>. This can be used to insert and change associations.</dd>
<dt class="pubdef"><a id="is_assoc/1"><strong>is_assoc</strong>(<var>+Assoc</var>)</a></dt>
<dd class="defbody">
True if Assoc is a valid association list. This predicate verifies the
validity of each node in the AVL tree.
</dd>
</dl>
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