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<!DOCTYPE html> <html lang="en"> <head> <title>selectPairs -- select a part of a hash table by pairs</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="index.html">Documentation </a> <br><a href="_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="Macaulay2 documentation" href="index.html">Macaulay2Doc</a> » <a href="___The_sp__Macaulay2_splanguage.html">The Macaulay2 language</a> » <a href="_hash_sptables.html">hash tables</a> » <a title="apply a function to each element of a hash table" href="_mapping_spover_sphash_sptables.html">mapping over hash tables</a> » <a title="select a part of a hash table by pairs" href="_select__Pairs.html">selectPairs</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> <a href="_any_lp__Hash__Table_cm__Function_rp.html">next</a> | <a href="_select__Values.html">previous</a> | <a href="_any_lp__Hash__Table_cm__Function_rp.html">forward</a> | <a href="_select__Values.html">backward</a> | <a href="_mapping_spover_sphash_sptables.html">up</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>selectPairs -- select a part of a hash table by pairs</h1> <ul> <li> <dl class="element"> <dt>Usage: </dt> <dd><code class="language-macaulay2">selectPairs(x, f)</code></dd> <dd><code class="language-macaulay2">selectPairs(n, x, f)</code></dd> </dl> </li> <li>Inputs: <ul> <li><span><span class="tt">n</span>, <span>an <a title="the class of all integers" href="___Z__Z.html">integer</a></span>, </span></li> <li><span><span class="tt">x</span>, <span>a <a title="the class of all hash tables" href="___Hash__Table.html">hash table</a></span> or <span>a <a title="the class of all basic lists" href="___Basic__List.html">basic list</a></span>, </span></li> <li><span><span class="tt">f</span>, <span>a <a title="the class of all functions" href="___Function.html">function</a></span>, </span></li> </ul> </li> <li>Outputs: <ul> <li><span><span>a <a title="the class of all hash tables" href="___Hash__Table.html">hash table</a></span> or <span>a <a title="the class of all basic lists" href="___Basic__List.html">basic list</a></span>, containing all (or <var>n</var>, if it is given) key-value pairs (<var>k</var>,<var>v</var>) from <var>x</var> for which <code>f(k,v)</code> evaluates to true.</span></li> </ul> </li> </ul> <div> <h2>Description</h2> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i1 : x = hashTable{(1, 2), (2, 4), (3, 6), (4, 8), (5, 10)} o1 = HashTable{1 => 2 } 2 => 4 3 => 6 4 => 8 5 => 10 o1 : HashTable</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i2 : selectPairs(x, (k,v) -> odd(k + v)) o2 = HashTable{1 => 2 } 3 => 6 5 => 10 o2 : HashTable</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i3 : selectPairs(2, x, (k, v) -> odd(k + v)) o3 = HashTable{1 => 2} 3 => 6 o3 : HashTable</code></pre> </td> </tr> </table> <div> <p>If <code>x</code> is not a hash table, then <code class="language-macaulay2">select(pairs x, f)</code> (or <code class="language-macaulay2">select(n, pairs x, f)</code>) is called.</p> </div> <table class="examples"> <tr> <td> <pre><code class="language-macaulay2">i4 : selectPairs(toList(1..10), (i, x) -> even x) o4 = {(1, 2), (3, 4), (5, 6), (7, 8), (9, 10)} o4 : List</code></pre> </td> </tr> <tr> <td> <pre><code class="language-macaulay2">i5 : selectPairs(3, toList(1..10), (i, x) -> even x) o5 = {(1, 2), (3, 4), (5, 6)} o5 : List</code></pre> </td> </tr> </table> </div> <div> <h2>Caveat</h2> <div> <p>If <code>x</code> is a hash table, then it must be immutable.</p> </div> </div> <div> <h2>See also</h2> <ul> <li><span><a title="select part of a hash table by values" href="_select__Values.html">selectValues</a> -- select part of a hash table by values</span></li> <li><span><a title="select a part of a hash table by keys" href="_select__Keys.html">selectKeys</a> -- select a part of a hash table by keys</span></li> </ul> </div> <div> <div class="waystouse"> <h2>Ways to use <span class="tt">selectPairs</span>:</h2> <ul> <li><kbd>selectPairs(BasicList,Function)</kbd></li> <li><kbd>selectPairs(HashTable,Function)</kbd></li> <li><kbd>selectPairs(ZZ,BasicList,Function)</kbd></li> <li><kbd>selectPairs(ZZ,HashTable,Function)</kbd></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="select a part of a hash table by pairs" href="_select__Pairs.html">selectPairs</a> is <span>a <a title="the class of all compiled functions" href="___Compiled__Function.html">compiled function</a></span>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">Macaulay2Doc/functions/select-doc.m2:295:0</span>.</p> </div> </div> </div> </body> </html>