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title="BatVect" rel="Chapter" href="BatVect.html"> <link title="Batteries" rel="Chapter" href="Batteries.html"> <link title="BatteriesConfig" rel="Chapter" href="BatteriesConfig.html"> <link title="BatteriesPrint" rel="Chapter" href="BatteriesPrint.html"> <link title="BatteriesThread" rel="Chapter" href="BatteriesThread.html"> <link title="Extlib" rel="Chapter" href="Extlib.html"><link title="Boilerplate code" rel="Section" href="#6_Boilerplatecode"> <link title="Override modules" rel="Section" href="#6_Overridemodules"> <link title="Printing" rel="Subsection" href="#7_Printing"> <title>Batteries user guide : BatSet.Make</title> </head> <body> <div class="navbar"> <a class="up" href="BatSet.html" title="BatSet">Up</a> <a class="post" href="BatSet.Incubator.html" title="BatSet.Incubator">Next</a> </div> <h1>Functor <a href="type_BatSet.Make.html">BatSet.Make</a></h1> <pre><span class="keyword">module</span> Make: <div class="sig_block"><code class="code"><span class="keyword">functor</span> (</code><code class="code"><span class="constructor">Ord</span></code><code class="code"> : </code><code class="type"><a href="BatSet.OrderedType.html">OrderedType</a></code><code class="code">) <span class="keywordsign">-></span> </code><code class="type"><a href="BatSet.S.html">S</a></code><code class="type"> with type elt = Ord.t</code></div></pre><div class="info module top"> Functor building an implementation of the set structure given a totally ordered type.<br> </div> <table border="0" cellpadding="3" width="100%"> <tr> <td align="left" valign="top" width="1%%"><b>Parameters: </b></td> <td> <table class="paramstable"> <tr> <td align="center" valign="top" width="15%"> <code>Ord</code></td> <td align="center" valign="top">:</td> <td><code class="type"><a href="BatSet.OrderedType.html">OrderedType</a></code> </table> </td> </tr> </table> <hr width="100%"> <pre><span id="TYPEelt"><span class="keyword">type</span> <code class="type"></code>elt</span> </pre> <div class="info "> The type of the set elements.<br> </div> <pre><span id="TYPEt"><span class="keyword">type</span> <code class="type"></code>t</span> </pre> <div class="info "> The type of sets.<br> </div> <pre><span id="VALempty"><span class="keyword">val</span> empty</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> The empty set.<br> </div> <pre><span id="VALis_empty"><span class="keyword">val</span> is_empty</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> bool</code></pre><div class="info "> Test whether a set is empty or not.<br> </div> <pre><span id="VALsingleton"><span class="keyword">val</span> singleton</span> : <code class="type"><a href="BatSet.S.html#TYPEelt">elt</a> -> <a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> <code class="code">singleton x</code> returns the one-element set containing only <code class="code">x</code>.<br> </div> <pre><span id="VALmem"><span class="keyword">val</span> mem</span> : <code class="type"><a href="BatSet.S.html#TYPEelt">elt</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> bool</code></pre><div class="info "> <code class="code">mem x s</code> tests whether <code class="code">x</code> belongs to the set <code class="code">s</code>.<br> </div> <pre><span id="VALfind"><span class="keyword">val</span> find</span> : <code class="type"><a href="BatSet.S.html#TYPEelt">elt</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEelt">elt</a></code></pre><div class="info "> <code class="code">find x s</code> returns the element in s that tests equal to <code class="code">x</code> under its comparison function.<br> <b>Raises</b> <code>Not_found</code> if no element is equal<br> </div> <pre><span id="VALadd"><span class="keyword">val</span> add</span> : <code class="type"><a href="BatSet.S.html#TYPEelt">elt</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> <code class="code">add x s</code> returns a set containing all elements of <code class="code">s</code>, plus <code class="code">x</code>. If <code class="code">x</code> was already in <code class="code">s</code>, <code class="code">s</code> is returned unchanged.<br> </div> <pre><span id="VALremove"><span class="keyword">val</span> remove</span> : <code class="type"><a href="BatSet.S.html#TYPEelt">elt</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> <code class="code">remove x s</code> returns a set containing all elements of <code class="code">s</code>, except <code class="code">x</code>. If <code class="code">x</code> was not in <code class="code">s</code>, <code class="code">s</code> is returned unchanged.<br> </div> <pre><span id="VALunion"><span class="keyword">val</span> union</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> Set union.<br> </div> <pre><span id="VALinter"><span class="keyword">val</span> inter</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> Set intersection.<br> </div> <pre><span id="VALdiff"><span class="keyword">val</span> diff</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> Set difference.<br> </div> <pre><span id="VALsym_diff"><span class="keyword">val</span> sym_diff</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> <code class="code">sym_diff s t</code> returns the set of all elements in <code class="code">s</code> or <code class="code">t</code> but not both. This is the same as <code class="code">diff (union s t) (inter s t)</code>.<br> </div> <pre><span id="VALcompare"><span class="keyword">val</span> compare</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> int</code></pre><div class="info "> Total ordering between sets. Can be used as the ordering function for doing sets of sets.<br> </div> <pre><span id="VALequal"><span class="keyword">val</span> equal</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> bool</code></pre><div class="info "> <code class="code">equal s1 s2</code> tests whether the sets <code class="code">s1</code> and <code class="code">s2</code> are equal, that is, contain equal elements.<br> </div> <pre><span id="VALsubset"><span class="keyword">val</span> subset</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> bool</code></pre><div class="info "> <code class="code">subset s1 s2</code> tests whether the set <code class="code">s1</code> is a subset of the set <code class="code">s2</code>.<br> </div> <pre><span id="VALdisjoint"><span class="keyword">val</span> disjoint</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> bool</code></pre><div class="info "> <code class="code">disjoint s1 s2</code> tests whether the sets <code class="code">s1</code> and <code class="code">s2</code> contain no shared elements. (i.e. <code class="code">inter s1 s2</code> is empty.)<br> </div> <pre><span id="VALcompare_subset"><span class="keyword">val</span> compare_subset</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> int</code></pre><div class="info "> Partial ordering between sets as generated by <code class="code">subset</code><br> </div> <pre><span id="VALiter"><span class="keyword">val</span> iter</span> : <code class="type">(<a href="BatSet.S.html#TYPEelt">elt</a> -> unit) -> <a href="BatSet.S.html#TYPEt">t</a> -> unit</code></pre><div class="info "> <code class="code">iter f s</code> applies <code class="code">f</code> in turn to all elements of <code class="code">s</code>. The elements of <code class="code">s</code> are presented to <code class="code">f</code> in increasing order with respect to the ordering over the type of the elements.<br> </div> <pre><span id="VALmap"><span class="keyword">val</span> map</span> : <code class="type">(<a href="BatSet.S.html#TYPEelt">elt</a> -> <a href="BatSet.S.html#TYPEelt">elt</a>) -> <a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> <code class="code">map f x</code> creates a new set with elements <code class="code">f a0</code>, <code class="code">f a1</code>... <code class="code">f aN</code>, where <code class="code">a0</code>,<code class="code">a1</code>..<code class="code">aN</code> are the values contained in <code class="code">x</code><br> </div> <pre><span id="VALfilter"><span class="keyword">val</span> filter</span> : <code class="type">(<a href="BatSet.S.html#TYPEelt">elt</a> -> bool) -> <a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> <code class="code">filter p s</code> returns the set of all elements in <code class="code">s</code> that satisfy predicate <code class="code">p</code>.<br> </div> <pre><span id="VALfilter_map"><span class="keyword">val</span> filter_map</span> : <code class="type">(<a href="BatSet.S.html#TYPEelt">elt</a> -> <a href="BatSet.S.html#TYPEelt">elt</a> option) -> <a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> <code class="code">filter_map f m</code> combines the features of <code class="code">filter</code> and <code class="code">map</code>. It calls calls <code class="code">f a0</code>, <code class="code">f a1</code>, <code class="code">f aN</code> where <code class="code">a0</code>,<code class="code">a1</code>..<code class="code">aN</code> are the elements of <code class="code">m</code> and returns the set of pairs <code class="code">bi</code> such as <code class="code">f ai = <span class="constructor">Some</span> bi</code> (when <code class="code">f</code> returns <code class="code"><span class="constructor">None</span></code>, the corresponding element of <code class="code">m</code> is discarded).<br> </div> <pre><span id="VALfold"><span class="keyword">val</span> fold</span> : <code class="type">(<a href="BatSet.S.html#TYPEelt">elt</a> -> 'a -> 'a) -> <a href="BatSet.S.html#TYPEt">t</a> -> 'a -> 'a</code></pre><div class="info "> <code class="code">fold f s a</code> computes <code class="code">(f xN ... (f x1 (f x0 a))...)</code>, where <code class="code">x0</code>,<code class="code">x1</code>..<code class="code">xN</code> are the elements of <code class="code">s</code>, in increasing order.<br> </div> <pre><span id="VALfor_all"><span class="keyword">val</span> for_all</span> : <code class="type">(<a href="BatSet.S.html#TYPEelt">elt</a> -> bool) -> <a href="BatSet.S.html#TYPEt">t</a> -> bool</code></pre><div class="info "> <code class="code">for_all p s</code> checks if all elements of the set satisfy the predicate <code class="code">p</code>.<br> </div> <pre><span id="VALexists"><span class="keyword">val</span> exists</span> : <code class="type">(<a href="BatSet.S.html#TYPEelt">elt</a> -> bool) -> <a href="BatSet.S.html#TYPEt">t</a> -> bool</code></pre><div class="info "> <code class="code">exists p s</code> checks if at least one element of the set satisfies the predicate <code class="code">p</code>.<br> </div> <pre><span id="VALpartition"><span class="keyword">val</span> partition</span> : <code class="type">(<a href="BatSet.S.html#TYPEelt">elt</a> -> bool) -> <a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a> * <a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> <code class="code">partition p s</code> returns a pair of sets <code class="code">(s1, s2)</code>, where <code class="code">s1</code> is the set of all the elements of <code class="code">s</code> that satisfy the predicate <code class="code">p</code>, and <code class="code">s2</code> is the set of all the elements of <code class="code">s</code> that do not satisfy <code class="code">p</code>.<br> </div> <pre><span id="VALsplit"><span class="keyword">val</span> split</span> : <code class="type"><a href="BatSet.S.html#TYPEelt">elt</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEt">t</a> * bool * <a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> <code class="code">split x s</code> returns a triple <code class="code">(l, present, r)</code>, where <code class="code">l</code> is the set of elements of <code class="code">s</code> that are strictly less than <code class="code">x</code>; <code class="code">r</code> is the set of elements of <code class="code">s</code> that are strictly greater than <code class="code">x</code>; <code class="code">present</code> is <code class="code"><span class="keyword">false</span></code> if <code class="code">s</code> contains no element equal to <code class="code">x</code>, or <code class="code"><span class="keyword">true</span></code> if <code class="code">s</code> contains an element equal to <code class="code">x</code>.<br> </div> <pre><span id="VALcardinal"><span class="keyword">val</span> cardinal</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> int</code></pre><div class="info "> Return the number of elements of a set.<br> </div> <pre><span id="VALelements"><span class="keyword">val</span> elements</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEelt">elt</a> list</code></pre><div class="info "> Return the list of all elements of the given set. The returned list is sorted in increasing order with respect to the ordering <code class="code"><span class="constructor">Ord</span>.compare</code>, where <code class="code"><span class="constructor">Ord</span></code> is the argument given to <code class="code"><span class="constructor">Set</span>.<span class="constructor">Make</span></code>.<br> </div> <pre><span id="VALmin_elt"><span class="keyword">val</span> min_elt</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEelt">elt</a></code></pre><div class="info "> Return the smallest element of the given set (with respect to the <code class="code"><span class="constructor">Ord</span>.compare</code> ordering).<br> <b>Raises</b> <code>Not_found</code> if the set is empty.<br> </div> <pre><span id="VALmax_elt"><span class="keyword">val</span> max_elt</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEelt">elt</a></code></pre><div class="info "> Same as <code class="code"><span class="constructor">Set</span>.<span class="constructor">S</span>.min_elt</code>, but returns the largest element of the given set.<br> </div> <pre><span id="VALchoose"><span class="keyword">val</span> choose</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEelt">elt</a></code></pre><div class="info "> Return one element of the given set, or raise <code class="code"><span class="constructor">Not_found</span></code> if the set is empty. Which element is chosen is unspecified, but equal elements will be chosen for equal sets.<br> </div> <pre><span id="VALpop"><span class="keyword">val</span> pop</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEelt">elt</a> * <a href="BatSet.S.html#TYPEt">t</a></code></pre><div class="info "> returns one element of the set and the set without that element.<br> <b>Raises</b> <code>Not_found</code> if given an empty set<br> </div> <pre><span id="VALenum"><span class="keyword">val</span> enum</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEelt">elt</a> <a href="BatEnum.html#TYPEt">BatEnum.t</a></code></pre><div class="info "> Return an enumeration of all elements of the given set. The returned enumeration is sorted in increasing order with respect to the ordering <code class="code"><span class="constructor">Ord</span>.compare</code>, where <code class="code"><span class="constructor">Ord</span></code> is the argument given to <code class="code"><span class="constructor">Set</span>.<span class="constructor">Make</span></code>.<br> </div> <pre><span id="VALbackwards"><span class="keyword">val</span> backwards</span> : <code class="type"><a href="BatSet.S.html#TYPEt">t</a> -> <a href="BatSet.S.html#TYPEelt">elt</a> <a href="BatEnum.html#TYPEt">BatEnum.t</a></code></pre><div class="info "> Return an enumeration of all elements of the given set. The returned enumeration is sorted in decreasing order with respect to the ordering <code class="code"><span class="constructor">Ord</span>.compare</code>, where <code class="code"><span class="constructor">Ord</span></code> is the argument given to <code class="code"><span class="constructor">Set</span>.<span class="constructor">Make</span></code>.<br> </div> <pre><span id="VALof_enum"><span class="keyword">val</span> of_enum</span> : <code class="type"><a href="BatSet.S.html#TYPEelt">elt</a> <a href="BatEnum.html#TYPEt">BatEnum.t</a> -> <a href="BatSet.S.html#TYPEt">t</a></code></pre><br> <h6 id="6_Boilerplatecode">Boilerplate code</h6><br> <br> <div class="h7" id="7_Printing">Printing</div><br> <pre><span id="VALprint"><span class="keyword">val</span> print</span> : <code class="type">?first:string -><br> ?last:string -><br> ?sep:string -><br> ('a <a href="BatInnerIO.html#TYPEoutput">BatInnerIO.output</a> -> <a href="BatSet.S.html#TYPEelt">elt</a> -> unit) -><br> 'a <a href="BatInnerIO.html#TYPEoutput">BatInnerIO.output</a> -> <a href="BatSet.S.html#TYPEt">t</a> -> unit</code></pre><br> <h6 id="6_Overridemodules">Override modules</h6><br> <br> The following modules replace functions defined in <code class="code"><span class="constructor">Set</span></code> with functions behaving slightly differently but having the same name. This is by design: the functions meant to override the corresponding functions of <code class="code"><span class="constructor">Set</span></code>.<br> <pre><span class="keyword">module</span> <a href="BatSet.S.Exceptionless.html">Exceptionless</a>: <code class="code"><span class="keyword">sig</span></code> <a href="BatSet.S.Exceptionless.html">..</a> <code class="code"><span class="keyword">end</span></code></pre><div class="info"> Operations on <code class="code"><span class="constructor">Set</span></code> without exceptions. </div> <pre><span class="keyword">module</span> <a href="BatSet.S.Labels.html">Labels</a>: <code class="code"><span class="keyword">sig</span></code> <a href="BatSet.S.Labels.html">..</a> <code class="code"><span class="keyword">end</span></code></pre><div class="info"> Operations on <code class="code"><span class="constructor">Set</span></code> with labels. </div> </body></html>